%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : MGT063+1 : TPTP v9.3.0. Released v2.4.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : run_E %s %d THM
% Computer : n017.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 0.67s 1.01s
% Output : Proof 0.90s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT063+1 : TPTP v9.3.0. Released v2.4.0.
% 0.00/0.02 % Command : run_E %s %d THM
% 0.08/0.33 % Computer : n017.cluster.edu
% 0.08/0.33 % Model : x86_64 x86_64
% 0.08/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.33 % Memory : 8046.5625MB
% 0.08/0.33 % OS : Linux 6.8.0-71-generic
% 0.08/0.33 % CPULimit : 300
% 0.08/0.33 % WCLimit : 300
% 0.08/0.33 % DateTime : Mon Sep 7 13:35:56 UTC 2026
% 0.08/0.34 % CPUTime :
% 0.67/1.01 % SZS status Theorem
% 0.67/1.01 % SZS output start Proof
% 0.67/1.01 tff(dissimilar_type, type, (
% 0.67/1.01 dissimilar: ( $i * $i * $i ) > $o)).
% 0.67/1.01 tff(tptp_fun_T2_3_type, type, (
% 0.67/1.01 tptp_fun_T2_3: $i)).
% 0.67/1.01 tff(tptp_fun_T0_5_type, type, (
% 0.67/1.01 tptp_fun_T0_5: $i)).
% 0.67/1.01 tff(tptp_fun_X_6_type, type, (
% 0.67/1.01 tptp_fun_X_6: $i)).
% 0.67/1.01 tff(is_aligned_type, type, (
% 0.67/1.01 is_aligned: ( $i * $i ) > $o)).
% 0.67/1.01 tff(organization_type, type, (
% 0.67/1.01 organization: $i > $o)).
% 0.67/1.01 tff(high_type, type, (
% 0.67/1.01 high: $i)).
% 0.67/1.01 tff(hazard_of_mortality_type, type, (
% 0.67/1.01 hazard_of_mortality: ( $i * $i ) > $i)).
% 0.67/1.01 tff(mod2_type, type, (
% 0.67/1.01 mod2: $i)).
% 0.67/1.01 tff(tptp_fun_T1_4_type, type, (
% 0.67/1.01 tptp_fun_T1_4: $i)).
% 0.67/1.01 tff(greater_type, type, (
% 0.67/1.01 greater: ( $i * $i ) > $o)).
% 0.67/1.01 tff(sigma_type, type, (
% 0.67/1.01 sigma: $i)).
% 0.67/1.01 tff(age_type, type, (
% 0.67/1.01 age: ( $i * $i ) > $i)).
% 0.67/1.01 tff(smaller_type, type, (
% 0.67/1.01 smaller: ( $i * $i ) > $o)).
% 0.67/1.01 tff(smaller_or_equal_type, type, (
% 0.67/1.01 smaller_or_equal: ( $i * $i ) > $o)).
% 0.67/1.01 tff(tau_type, type, (
% 0.67/1.01 tau: $i)).
% 0.67/1.01 tff(tptp_fun_T3_2_type, type, (
% 0.67/1.01 tptp_fun_T3_2: $i)).
% 0.67/1.01 tff(zero_type, type, (
% 0.67/1.01 zero: $i)).
% 0.67/1.01 tff(has_endowment_type, type, (
% 0.67/1.01 has_endowment: $i > $o)).
% 0.67/1.01 tff(robust_position_type, type, (
% 0.67/1.01 robust_position: $i > $o)).
% 0.67/1.01 tff(positional_advantage_type, type, (
% 0.67/1.01 positional_advantage: ( $i * $i ) > $o)).
% 0.67/1.01 tff(mod1_type, type, (
% 0.67/1.01 mod1: $i)).
% 0.67/1.01 tff(low_type, type, (
% 0.67/1.01 low: $i)).
% 0.67/1.01 tff(has_immunity_type, type, (
% 0.67/1.01 has_immunity: ( $i * $i ) > $o)).
% 0.67/1.01 tff(very_low_type, type, (
% 0.67/1.01 very_low: $i)).
% 0.67/1.01 tff(tptp_fun_T_1_type, type, (
% 0.67/1.01 tptp_fun_T_1: $i > $i)).
% 0.67/1.01 tff(1,plain,
% 0.67/1.01 (^[X: $i, Y: $i] : refl((smaller(X, Y) <=> greater(Y, X)) <=> (smaller(X, Y) <=> greater(Y, X)))),
% 0.67/1.01 inference(bind,[status(th)],[])).
% 0.67/1.01 tff(2,plain,
% 0.67/1.01 (![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X)) <=> ![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))),
% 0.67/1.01 inference(quant_intro,[status(thm)],[1])).
% 0.67/1.01 tff(3,plain,
% 0.67/1.01 (![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X)) <=> ![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))),
% 0.67/1.01 inference(rewrite,[status(thm)],[])).
% 0.67/1.01 tff(4,axiom,(![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))), file('/export/starexec/sandbox2/benchmark/Axioms/MGT001+0.ax','definition_smaller')).
% 0.67/1.01 tff(5,plain,
% 0.67/1.01 (![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))),
% 0.67/1.01 inference(modus_ponens,[status(thm)],[4, 3])).
% 0.67/1.01 tff(6,plain,(
% 0.67/1.01 ![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))),
% 0.67/1.01 inference(skolemize,[status(sab)],[5])).
% 0.67/1.01 tff(7,plain,
% 0.67/1.01 (![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))),
% 0.67/1.01 inference(modus_ponens,[status(thm)],[6, 2])).
% 0.67/1.01 tff(8,plain,
% 0.67/1.01 ((~![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))) | (smaller(age(X!6, T1!4), sigma) <=> greater(sigma, age(X!6, T1!4)))),
% 0.67/1.01 inference(quant_inst,[status(thm)],[])).
% 0.67/1.01 tff(9,plain,
% 0.67/1.01 (smaller(age(X!6, T1!4), sigma) <=> greater(sigma, age(X!6, T1!4))),
% 0.67/1.01 inference(unit_resolution,[status(thm)],[8, 7])).
% 0.67/1.01 tff(10,assumption,(greater(age(X!6, T1!4), sigma)), introduced(assumption)).
% 0.67/1.01 tff(11,plain,
% 0.67/1.01 (^[X: $i, Y: $i] : refl(((~greater(X, Y)) | (~greater(Y, X))) <=> ((~greater(X, Y)) | (~greater(Y, X))))),
% 0.67/1.01 inference(bind,[status(th)],[])).
% 0.67/1.01 tff(12,plain,
% 0.67/1.01 (![X: $i, Y: $i] : ((~greater(X, Y)) | (~greater(Y, X))) <=> ![X: $i, Y: $i] : ((~greater(X, Y)) | (~greater(Y, X)))),
% 0.67/1.01 inference(quant_intro,[status(thm)],[11])).
% 0.67/1.01 tff(13,plain,
% 0.67/1.01 (^[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)))))),
% 0.67/1.01 inference(bind,[status(th)],[])).
% 0.67/1.01 tff(14,plain,
% 0.67/1.01 (![X: $i, Y: $i] : (~(greater(X, Y) & greater(Y, X))) <=> ![X: $i, Y: $i] : ((~greater(X, Y)) | (~greater(Y, X)))),
% 0.67/1.01 inference(quant_intro,[status(thm)],[13])).
% 0.67/1.01 tff(15,plain,
% 0.67/1.01 (![X: $i, Y: $i] : (~(greater(X, Y) & greater(Y, X))) <=> ![X: $i, Y: $i] : (~(greater(X, Y) & greater(Y, X)))),
% 0.67/1.01 inference(rewrite,[status(thm)],[])).
% 0.67/1.01 tff(16,axiom,(![X: $i, Y: $i] : (~(greater(X, Y) & greater(Y, X)))), file('/export/starexec/sandbox2/benchmark/Axioms/MGT001+0.ax','meaning_postulate_greater_strict')).
% 0.67/1.01 tff(17,plain,
% 0.67/1.01 (![X: $i, Y: $i] : (~(greater(X, Y) & greater(Y, X)))),
% 0.67/1.01 inference(modus_ponens,[status(thm)],[16, 15])).
% 0.67/1.01 tff(18,plain,(
% 0.67/1.01 ![X: $i, Y: $i] : (~(greater(X, Y) & greater(Y, X)))),
% 0.67/1.01 inference(skolemize,[status(sab)],[17])).
% 0.67/1.01 tff(19,plain,
% 0.67/1.01 (![X: $i, Y: $i] : ((~greater(X, Y)) | (~greater(Y, X)))),
% 0.67/1.01 inference(modus_ponens,[status(thm)],[18, 14])).
% 0.67/1.01 tff(20,plain,
% 0.67/1.01 (![X: $i, Y: $i] : ((~greater(X, Y)) | (~greater(Y, X)))),
% 0.67/1.01 inference(modus_ponens,[status(thm)],[19, 12])).
% 0.67/1.01 tff(21,plain,
% 0.67/1.01 (((~![X: $i, Y: $i] : ((~greater(X, Y)) | (~greater(Y, X)))) | ((~greater(sigma, age(X!6, T1!4))) | (~greater(age(X!6, T1!4), sigma)))) <=> ((~![X: $i, Y: $i] : ((~greater(X, Y)) | (~greater(Y, X)))) | (~greater(sigma, age(X!6, T1!4))) | (~greater(age(X!6, T1!4), sigma)))),
% 0.67/1.01 inference(rewrite,[status(thm)],[])).
% 0.67/1.01 tff(22,plain,
% 0.67/1.01 ((~![X: $i, Y: $i] : ((~greater(X, Y)) | (~greater(Y, X)))) | ((~greater(sigma, age(X!6, T1!4))) | (~greater(age(X!6, T1!4), sigma)))),
% 0.67/1.01 inference(quant_inst,[status(thm)],[])).
% 0.67/1.01 tff(23,plain,
% 0.67/1.01 ((~![X: $i, Y: $i] : ((~greater(X, Y)) | (~greater(Y, X)))) | (~greater(sigma, age(X!6, T1!4))) | (~greater(age(X!6, T1!4), sigma))),
% 0.67/1.01 inference(modus_ponens,[status(thm)],[22, 21])).
% 0.67/1.01 tff(24,plain,
% 0.67/1.01 ((~greater(sigma, age(X!6, T1!4))) | (~greater(age(X!6, T1!4), sigma))),
% 0.67/1.01 inference(unit_resolution,[status(thm)],[23, 20])).
% 0.67/1.01 tff(25,plain,
% 0.67/1.01 (~greater(sigma, age(X!6, T1!4))),
% 0.67/1.01 inference(unit_resolution,[status(thm)],[24, 10])).
% 0.67/1.01 tff(26,plain,
% 0.67/1.01 ((~(smaller(age(X!6, T1!4), sigma) <=> greater(sigma, age(X!6, T1!4)))) | (~smaller(age(X!6, T1!4), sigma)) | greater(sigma, age(X!6, T1!4))),
% 0.67/1.01 inference(tautology,[status(thm)],[])).
% 0.67/1.01 tff(27,plain,
% 0.67/1.01 ((~(smaller(age(X!6, T1!4), sigma) <=> greater(sigma, age(X!6, T1!4)))) | (~smaller(age(X!6, T1!4), sigma))),
% 0.67/1.01 inference(unit_resolution,[status(thm)],[26, 25])).
% 0.67/1.01 tff(28,plain,
% 0.67/1.01 (~smaller(age(X!6, T1!4), sigma)),
% 0.67/1.01 inference(unit_resolution,[status(thm)],[27, 9])).
% 0.67/1.01 tff(29,plain,
% 0.67/1.01 (^[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))))),
% 0.67/1.01 inference(bind,[status(th)],[])).
% 0.67/1.01 tff(30,plain,
% 0.67/1.01 (![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)))),
% 0.67/1.01 inference(quant_intro,[status(thm)],[29])).
% 0.67/1.01 tff(31,plain,
% 0.67/1.01 (![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)))),
% 0.67/1.01 inference(rewrite,[status(thm)],[])).
% 0.67/1.01 tff(32,plain,
% 0.67/1.01 (^[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))))),
% 0.67/1.01 inference(bind,[status(th)],[])).
% 0.67/1.01 tff(33,plain,
% 0.67/1.01 (![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)))),
% 0.67/1.01 inference(quant_intro,[status(thm)],[32])).
% 0.67/1.01 tff(34,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')).
% 0.67/1.01 tff(35,plain,
% 0.67/1.01 (![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))),
% 0.67/1.01 inference(modus_ponens,[status(thm)],[34, 33])).
% 0.67/1.01 tff(36,plain,
% 0.67/1.01 (![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))),
% 0.67/1.01 inference(modus_ponens,[status(thm)],[35, 31])).
% 0.67/1.01 tff(37,plain,(
% 0.67/1.01 ![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))),
% 0.67/1.01 inference(skolemize,[status(sab)],[36])).
% 0.67/1.01 tff(38,plain,
% 0.67/1.01 (![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))),
% 0.67/1.01 inference(modus_ponens,[status(thm)],[37, 30])).
% 0.67/1.01 tff(39,plain,
% 0.67/1.01 ((~![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))) | (smaller_or_equal(age(X!6, T1!4), sigma) <=> ((age(X!6, T1!4) = sigma) | smaller(age(X!6, T1!4), sigma)))),
% 0.67/1.01 inference(quant_inst,[status(thm)],[])).
% 0.67/1.01 tff(40,plain,
% 0.67/1.01 (smaller_or_equal(age(X!6, T1!4), sigma) <=> ((age(X!6, T1!4) = sigma) | smaller(age(X!6, T1!4), sigma))),
% 0.67/1.01 inference(unit_resolution,[status(thm)],[39, 38])).
% 0.67/1.01 tff(41,plain,
% 0.67/1.01 ((~![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) & smaller(sigma, tau) & smaller_or_equal(age(X, T1), sigma) & greater(age(X, T2), sigma) & smaller_or_equal(age(X, T2), tau) & greater(age(X, T3), tau))) | (smaller(hazard_of_mortality(X, T3), hazard_of_mortality(X, T1)) & smaller(hazard_of_mortality(X, T1), hazard_of_mortality(X, T2)) & (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) & smaller(sigma, tau) & smaller_or_equal(age(X, T1), sigma) & greater(age(X, T2), sigma) & smaller_or_equal(age(X, T2), tau) & greater(age(X, T3), tau))) | (smaller(hazard_of_mortality(X, T3), hazard_of_mortality(X, T1)) & smaller(hazard_of_mortality(X, T1), hazard_of_mortality(X, T2)) & (hazard_of_mortality(X, T1) = hazard_of_mortality(X, T0)))))),
% 0.67/1.01 inference(rewrite,[status(thm)],[])).
% 0.67/1.01 tff(42,plain,
% 0.67/1.01 ((~![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)) & smaller(sigma, tau)) & smaller_or_equal(age(X, T1), sigma)) & greater(age(X, T2), sigma)) & smaller_or_equal(age(X, T2), tau)) & greater(age(X, T3), tau)) => ((smaller(hazard_of_mortality(X, T3), hazard_of_mortality(X, T1)) & smaller(hazard_of_mortality(X, T1), hazard_of_mortality(X, T2))) & (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) & smaller(sigma, tau) & smaller_or_equal(age(X, T1), sigma) & greater(age(X, T2), sigma) & smaller_or_equal(age(X, T2), tau) & greater(age(X, T3), tau))) | (smaller(hazard_of_mortality(X, T3), hazard_of_mortality(X, T1)) & smaller(hazard_of_mortality(X, T1), hazard_of_mortality(X, T2)) & (hazard_of_mortality(X, T1) = hazard_of_mortality(X, T0)))))),
% 0.67/1.01 inference(rewrite,[status(thm)],[])).
% 0.67/1.01 tff(43,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)) & smaller(sigma, tau)) & smaller_or_equal(age(X, T1), sigma)) & greater(age(X, T2), sigma)) & smaller_or_equal(age(X, T2), tau)) & greater(age(X, T3), tau)) => ((smaller(hazard_of_mortality(X, T3), hazard_of_mortality(X, T1)) & smaller(hazard_of_mortality(X, T1), hazard_of_mortality(X, T2))) & (hazard_of_mortality(X, T1) = hazard_of_mortality(X, T0))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','theorem_9')).
% 0.67/1.01 tff(44,plain,
% 0.67/1.01 (~![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) & smaller(sigma, tau) & smaller_or_equal(age(X, T1), sigma) & greater(age(X, T2), sigma) & smaller_or_equal(age(X, T2), tau) & greater(age(X, T3), tau))) | (smaller(hazard_of_mortality(X, T3), hazard_of_mortality(X, T1)) & smaller(hazard_of_mortality(X, T1), hazard_of_mortality(X, T2)) & (hazard_of_mortality(X, T1) = hazard_of_mortality(X, T0))))),
% 0.67/1.01 inference(modus_ponens,[status(thm)],[43, 42])).
% 0.67/1.01 tff(45,plain,
% 0.67/1.01 (~![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) & smaller(sigma, tau) & smaller_or_equal(age(X, T1), sigma) & greater(age(X, T2), sigma) & smaller_or_equal(age(X, T2), tau) & greater(age(X, T3), tau))) | (smaller(hazard_of_mortality(X, T3), hazard_of_mortality(X, T1)) & smaller(hazard_of_mortality(X, T1), hazard_of_mortality(X, T2)) & (hazard_of_mortality(X, T1) = hazard_of_mortality(X, T0))))),
% 0.67/1.01 inference(modus_ponens,[status(thm)],[44, 41])).
% 0.67/1.01 tff(46,plain,
% 0.67/1.01 (~![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) & smaller(sigma, tau) & smaller_or_equal(age(X, T1), sigma) & greater(age(X, T2), sigma) & smaller_or_equal(age(X, T2), tau) & greater(age(X, T3), tau))) | (smaller(hazard_of_mortality(X, T3), hazard_of_mortality(X, T1)) & smaller(hazard_of_mortality(X, T1), hazard_of_mortality(X, T2)) & (hazard_of_mortality(X, T1) = hazard_of_mortality(X, T0))))),
% 0.67/1.01 inference(modus_ponens,[status(thm)],[45, 41])).
% 0.67/1.01 tff(47,plain,
% 0.67/1.01 (~![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) & smaller(sigma, tau) & smaller_or_equal(age(X, T1), sigma) & greater(age(X, T2), sigma) & smaller_or_equal(age(X, T2), tau) & greater(age(X, T3), tau))) | (smaller(hazard_of_mortality(X, T3), hazard_of_mortality(X, T1)) & smaller(hazard_of_mortality(X, T1), hazard_of_mortality(X, T2)) & (hazard_of_mortality(X, T1) = hazard_of_mortality(X, T0))))),
% 0.67/1.01 inference(modus_ponens,[status(thm)],[46, 41])).
% 0.67/1.01 tff(48,plain,(
% 0.67/1.01 ~((~(organization(X!6) & robust_position(X!6) & (~has_endowment(X!6)) & (age(X!6, T0!5) = zero) & greater(sigma, zero) & greater(tau, zero) & smaller(sigma, tau) & smaller_or_equal(age(X!6, T1!4), sigma) & greater(age(X!6, T2!3), sigma) & smaller_or_equal(age(X!6, T2!3), tau) & greater(age(X!6, T3!2), tau))) | (smaller(hazard_of_mortality(X!6, T3!2), hazard_of_mortality(X!6, T1!4)) & smaller(hazard_of_mortality(X!6, T1!4), hazard_of_mortality(X!6, T2!3)) & (hazard_of_mortality(X!6, T1!4) = hazard_of_mortality(X!6, T0!5))))),
% 0.67/1.01 inference(skolemize,[status(sab)],[47])).
% 0.67/1.01 tff(49,plain,
% 0.67/1.01 (organization(X!6) & robust_position(X!6) & (~has_endowment(X!6)) & (age(X!6, T0!5) = zero) & greater(sigma, zero) & greater(tau, zero) & smaller(sigma, tau) & smaller_or_equal(age(X!6, T1!4), sigma) & greater(age(X!6, T2!3), sigma) & smaller_or_equal(age(X!6, T2!3), tau) & greater(age(X!6, T3!2), tau)),
% 0.67/1.01 inference(or_elim,[status(thm)],[48])).
% 0.67/1.01 tff(50,plain,
% 0.67/1.01 (smaller_or_equal(age(X!6, T1!4), sigma)),
% 0.67/1.01 inference(and_elim,[status(thm)],[49])).
% 0.67/1.01 tff(51,plain,
% 0.67/1.01 ((~(smaller_or_equal(age(X!6, T1!4), sigma) <=> ((age(X!6, T1!4) = sigma) | smaller(age(X!6, T1!4), sigma)))) | (~smaller_or_equal(age(X!6, T1!4), sigma)) | ((age(X!6, T1!4) = sigma) | smaller(age(X!6, T1!4), sigma))),
% 0.67/1.01 inference(tautology,[status(thm)],[])).
% 0.67/1.01 tff(52,plain,
% 0.67/1.01 ((~(smaller_or_equal(age(X!6, T1!4), sigma) <=> ((age(X!6, T1!4) = sigma) | smaller(age(X!6, T1!4), sigma)))) | ((age(X!6, T1!4) = sigma) | smaller(age(X!6, T1!4), sigma))),
% 0.67/1.01 inference(unit_resolution,[status(thm)],[51, 50])).
% 0.67/1.01 tff(53,plain,
% 0.67/1.01 ((age(X!6, T1!4) = sigma) | smaller(age(X!6, T1!4), sigma)),
% 0.67/1.01 inference(unit_resolution,[status(thm)],[52, 40])).
% 0.67/1.01 tff(54,plain,
% 0.67/1.01 ((~((age(X!6, T1!4) = sigma) | smaller(age(X!6, T1!4), sigma))) | (age(X!6, T1!4) = sigma) | smaller(age(X!6, T1!4), sigma)),
% 0.67/1.01 inference(tautology,[status(thm)],[])).
% 0.67/1.01 tff(55,plain,
% 0.67/1.01 ((age(X!6, T1!4) = sigma) | smaller(age(X!6, T1!4), sigma)),
% 0.67/1.01 inference(unit_resolution,[status(thm)],[54, 53])).
% 0.67/1.01 tff(56,plain,
% 0.67/1.01 (age(X!6, T1!4) = sigma),
% 0.67/1.01 inference(unit_resolution,[status(thm)],[55, 28])).
% 0.67/1.01 tff(57,plain,
% 0.67/1.01 (sigma = age(X!6, T1!4)),
% 0.67/1.01 inference(symmetry,[status(thm)],[56])).
% 0.67/1.01 tff(58,plain,
% 0.67/1.01 (greater(sigma, age(X!6, T1!4)) <=> greater(age(X!6, T1!4), sigma)),
% 0.67/1.01 inference(monotonicity,[status(thm)],[57, 56])).
% 0.67/1.01 tff(59,plain,
% 0.67/1.01 (greater(age(X!6, T1!4), sigma) <=> greater(sigma, age(X!6, T1!4))),
% 0.67/1.01 inference(symmetry,[status(thm)],[58])).
% 0.67/1.01 tff(60,plain,
% 0.67/1.01 (greater(sigma, age(X!6, T1!4))),
% 0.67/1.01 inference(modus_ponens,[status(thm)],[10, 59])).
% 0.67/1.01 tff(61,plain,
% 0.67/1.01 ($false),
% 0.67/1.01 inference(unit_resolution,[status(thm)],[25, 60])).
% 0.67/1.02 tff(62,plain,(~greater(age(X!6, T1!4), sigma)), inference(lemma,lemma(discharge,[]))).
% 0.67/1.02 tff(63,plain,
% 0.67/1.02 (age(X!6, T0!5) = zero),
% 0.67/1.02 inference(and_elim,[status(thm)],[49])).
% 0.67/1.02 tff(64,plain,
% 0.67/1.02 (organization(X!6)),
% 0.67/1.02 inference(and_elim,[status(thm)],[49])).
% 0.67/1.02 tff(65,plain,
% 0.67/1.02 (^[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))))),
% 0.67/1.02 inference(bind,[status(th)],[])).
% 0.67/1.02 tff(66,plain,
% 0.67/1.02 (![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)))),
% 0.67/1.02 inference(quant_intro,[status(thm)],[65])).
% 0.67/1.02 tff(67,plain,
% 0.67/1.02 (^[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)))))),
% 0.67/1.02 inference(bind,[status(th)],[])).
% 0.67/1.02 tff(68,plain,
% 0.67/1.02 (![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)))),
% 0.67/1.02 inference(quant_intro,[status(thm)],[67])).
% 0.67/1.02 tff(69,plain,
% 0.67/1.02 (![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)))),
% 0.67/1.02 inference(rewrite,[status(thm)],[])).
% 0.67/1.02 tff(70,plain,
% 0.67/1.02 (^[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))))),
% 0.67/1.02 inference(bind,[status(th)],[])).
% 0.67/1.02 tff(71,plain,
% 0.67/1.02 (![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)))),
% 0.67/1.02 inference(quant_intro,[status(thm)],[70])).
% 0.67/1.02 tff(72,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')).
% 0.67/1.02 tff(73,plain,
% 0.67/1.02 (![X: $i, T0: $i, T: $i] : ((~(organization(X) & (age(X, T0) = zero))) | (greater(age(X, T), sigma) <=> dissimilar(X, T0, T)))),
% 0.67/1.02 inference(modus_ponens,[status(thm)],[72, 71])).
% 0.67/1.02 tff(74,plain,
% 0.67/1.02 (![X: $i, T0: $i, T: $i] : ((~(organization(X) & (age(X, T0) = zero))) | (greater(age(X, T), sigma) <=> dissimilar(X, T0, T)))),
% 0.67/1.02 inference(modus_ponens,[status(thm)],[73, 69])).
% 0.67/1.02 tff(75,plain,(
% 0.67/1.02 ![X: $i, T0: $i, T: $i] : ((~(organization(X) & (age(X, T0) = zero))) | (greater(age(X, T), sigma) <=> dissimilar(X, T0, T)))),
% 0.67/1.02 inference(skolemize,[status(sab)],[74])).
% 0.67/1.02 tff(76,plain,
% 0.67/1.02 (![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))),
% 0.67/1.02 inference(modus_ponens,[status(thm)],[75, 68])).
% 0.67/1.02 tff(77,plain,
% 0.67/1.02 (![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))),
% 0.67/1.02 inference(modus_ponens,[status(thm)],[76, 66])).
% 0.67/1.02 tff(78,plain,
% 0.67/1.02 (((~![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)))),
% 0.67/1.02 inference(rewrite,[status(thm)],[])).
% 0.67/1.02 tff(79,plain,
% 0.67/1.02 (((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)))),
% 0.67/1.02 inference(rewrite,[status(thm)],[])).
% 0.67/1.02 tff(80,plain,
% 0.67/1.02 (((~![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))))),
% 0.67/1.02 inference(monotonicity,[status(thm)],[79])).
% 0.67/1.02 tff(81,plain,
% 0.67/1.02 (((~![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)))),
% 0.67/1.02 inference(transitivity,[status(thm)],[80, 78])).
% 0.67/1.02 tff(82,plain,
% 0.67/1.02 ((~![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)))),
% 0.67/1.02 inference(quant_inst,[status(thm)],[])).
% 0.67/1.02 tff(83,plain,
% 0.67/1.02 ((~![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))),
% 0.67/1.02 inference(modus_ponens,[status(thm)],[82, 81])).
% 0.67/1.02 tff(84,plain,
% 0.67/1.02 (greater(age(X!6, T1!4), sigma) <=> dissimilar(X!6, T0!5, T1!4)),
% 0.67/1.02 inference(unit_resolution,[status(thm)],[83, 77, 64, 63])).
% 0.67/1.02 tff(85,plain,
% 0.67/1.02 ((~(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))),
% 0.67/1.02 inference(tautology,[status(thm)],[])).
% 0.67/1.02 tff(86,plain,
% 0.67/1.02 (greater(age(X!6, T1!4), sigma) | (~dissimilar(X!6, T0!5, T1!4))),
% 0.67/1.02 inference(unit_resolution,[status(thm)],[85, 84])).
% 0.67/1.02 tff(87,plain,
% 0.67/1.02 (~dissimilar(X!6, T0!5, T1!4)),
% 0.67/1.02 inference(unit_resolution,[status(thm)],[86, 62])).
% 0.67/1.02 tff(88,plain,
% 0.67/1.02 (^[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))))),
% 0.67/1.02 inference(bind,[status(th)],[])).
% 0.67/1.02 tff(89,plain,
% 0.67/1.02 (![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)))),
% 0.67/1.02 inference(quant_intro,[status(thm)],[88])).
% 0.67/1.02 tff(90,plain,
% 0.67/1.02 (^[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)))))),
% 0.67/1.02 inference(bind,[status(th)],[])).
% 0.67/1.02 tff(91,plain,
% 0.67/1.02 (![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)))),
% 0.67/1.02 inference(quant_intro,[status(thm)],[90])).
% 0.67/1.02 tff(92,plain,
% 0.67/1.02 (![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)))))),
% 0.67/1.02 inference(rewrite,[status(thm)],[])).
% 0.67/1.02 tff(93,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')).
% 0.67/1.02 tff(94,plain,
% 0.67/1.02 (![X: $i, T0: $i, T: $i] : (dissimilar(X, T0, T) <=> (organization(X) & (~(is_aligned(X, T0) <=> is_aligned(X, T)))))),
% 0.67/1.02 inference(modus_ponens,[status(thm)],[93, 92])).
% 0.67/1.02 tff(95,plain,(
% 0.67/1.02 ![X: $i, T0: $i, T: $i] : (dissimilar(X, T0, T) <=> (organization(X) & (~(is_aligned(X, T0) <=> is_aligned(X, T)))))),
% 0.67/1.02 inference(skolemize,[status(sab)],[94])).
% 0.67/1.02 tff(96,plain,
% 0.67/1.02 (![X: $i, T0: $i, T: $i] : (~(((~organization(X)) | (is_aligned(X, T0) <=> is_aligned(X, T))) <=> dissimilar(X, T0, T)))),
% 0.67/1.02 inference(modus_ponens,[status(thm)],[95, 91])).
% 0.67/1.02 tff(97,plain,
% 0.67/1.02 (![X: $i, T0: $i, T: $i] : (~(((~organization(X)) | (is_aligned(X, T0) <=> is_aligned(X, T))) <=> dissimilar(X, T0, T)))),
% 0.67/1.02 inference(modus_ponens,[status(thm)],[96, 89])).
% 0.67/1.02 tff(98,plain,
% 0.67/1.02 ((~![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)))),
% 0.67/1.02 inference(quant_inst,[status(thm)],[])).
% 0.67/1.02 tff(99,plain,
% 0.67/1.02 (~(((~organization(X!6)) | (is_aligned(X!6, T0!5) <=> is_aligned(X!6, T1!4))) <=> dissimilar(X!6, T0!5, T1!4))),
% 0.67/1.02 inference(unit_resolution,[status(thm)],[98, 97])).
% 0.67/1.02 tff(100,plain,
% 0.67/1.02 ((((~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)),
% 0.67/1.02 inference(tautology,[status(thm)],[])).
% 0.67/1.02 tff(101,plain,
% 0.67/1.02 (((~organization(X!6)) | (is_aligned(X!6, T0!5) <=> is_aligned(X!6, T1!4))) | dissimilar(X!6, T0!5, T1!4)),
% 0.67/1.02 inference(unit_resolution,[status(thm)],[100, 99])).
% 0.67/1.02 tff(102,plain,
% 0.67/1.02 ((~organization(X!6)) | (is_aligned(X!6, T0!5) <=> is_aligned(X!6, T1!4))),
% 0.67/1.02 inference(unit_resolution,[status(thm)],[101, 87])).
% 0.67/1.02 tff(103,plain,
% 0.67/1.02 ((~((~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))),
% 0.67/1.02 inference(tautology,[status(thm)],[])).
% 0.67/1.02 tff(104,plain,
% 0.67/1.02 ((~((~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))),
% 0.67/1.02 inference(unit_resolution,[status(thm)],[103, 64])).
% 0.67/1.02 tff(105,plain,
% 0.67/1.02 (is_aligned(X!6, T0!5) <=> is_aligned(X!6, T1!4)),
% 0.67/1.02 inference(unit_resolution,[status(thm)],[104, 102])).
% 0.67/1.02 tff(106,plain,
% 0.67/1.02 (^[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))))),
% 0.67/1.02 inference(bind,[status(th)],[])).
% 0.67/1.02 tff(107,plain,
% 0.67/1.02 (![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)))),
% 0.67/1.02 inference(quant_intro,[status(thm)],[106])).
% 0.67/1.02 tff(108,plain,
% 0.67/1.02 (^[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)))))),
% 0.67/1.02 inference(bind,[status(th)],[])).
% 0.67/1.02 tff(109,plain,
% 0.67/1.02 (![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)))),
% 0.67/1.02 inference(quant_intro,[status(thm)],[108])).
% 0.67/1.02 tff(110,plain,
% 0.67/1.02 (![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))),
% 0.67/1.02 inference(rewrite,[status(thm)],[])).
% 0.67/1.02 tff(111,plain,
% 0.67/1.02 (^[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)))),
% 0.67/1.02 inference(bind,[status(th)],[])).
% 0.67/1.02 tff(112,plain,
% 0.67/1.02 (![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))),
% 0.67/1.02 inference(quant_intro,[status(thm)],[111])).
% 0.67/1.02 tff(113,axiom,(![X: $i, T: $i] : ((organization(X) & (age(X, T) = zero)) => is_aligned(X, T))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','assumption_13')).
% 0.67/1.02 tff(114,plain,
% 0.67/1.02 (![X: $i, T: $i] : ((~(organization(X) & (age(X, T) = zero))) | is_aligned(X, T))),
% 0.67/1.02 inference(modus_ponens,[status(thm)],[113, 112])).
% 0.67/1.02 tff(115,plain,
% 0.67/1.02 (![X: $i, T: $i] : ((~(organization(X) & (age(X, T) = zero))) | is_aligned(X, T))),
% 0.67/1.02 inference(modus_ponens,[status(thm)],[114, 110])).
% 0.67/1.02 tff(116,plain,(
% 0.67/1.02 ![X: $i, T: $i] : ((~(organization(X) & (age(X, T) = zero))) | is_aligned(X, T))),
% 0.67/1.02 inference(skolemize,[status(sab)],[115])).
% 0.67/1.02 tff(117,plain,
% 0.67/1.02 (![X: $i, T: $i] : (is_aligned(X, T) | (~organization(X)) | (~(age(X, T) = zero)))),
% 0.67/1.03 inference(modus_ponens,[status(thm)],[116, 109])).
% 0.67/1.03 tff(118,plain,
% 0.67/1.03 (![X: $i, T: $i] : (is_aligned(X, T) | (~organization(X)) | (~(age(X, T) = zero)))),
% 0.67/1.03 inference(modus_ponens,[status(thm)],[117, 107])).
% 0.67/1.03 tff(119,plain,
% 0.67/1.03 (((~![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)))),
% 0.67/1.03 inference(rewrite,[status(thm)],[])).
% 0.67/1.03 tff(120,plain,
% 0.67/1.03 ((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)))),
% 0.67/1.03 inference(rewrite,[status(thm)],[])).
% 0.67/1.03 tff(121,plain,
% 0.67/1.03 (((~![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))))),
% 0.67/1.03 inference(monotonicity,[status(thm)],[120])).
% 0.67/1.03 tff(122,plain,
% 0.67/1.03 (((~![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)))),
% 0.67/1.03 inference(transitivity,[status(thm)],[121, 119])).
% 0.67/1.03 tff(123,plain,
% 0.67/1.03 ((~![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)))),
% 0.67/1.03 inference(quant_inst,[status(thm)],[])).
% 0.67/1.03 tff(124,plain,
% 0.67/1.03 ((~![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))),
% 0.67/1.03 inference(modus_ponens,[status(thm)],[123, 122])).
% 0.67/1.03 tff(125,plain,
% 0.67/1.03 (is_aligned(X!6, T0!5)),
% 0.67/1.03 inference(unit_resolution,[status(thm)],[124, 118, 64, 63])).
% 0.67/1.03 tff(126,plain,
% 0.67/1.03 ((~(is_aligned(X!6, T0!5) <=> is_aligned(X!6, T1!4))) | (~is_aligned(X!6, T0!5)) | is_aligned(X!6, T1!4)),
% 0.67/1.03 inference(tautology,[status(thm)],[])).
% 0.67/1.03 tff(127,plain,
% 0.67/1.03 ((~(is_aligned(X!6, T0!5) <=> is_aligned(X!6, T1!4))) | is_aligned(X!6, T1!4)),
% 0.67/1.03 inference(unit_resolution,[status(thm)],[126, 125])).
% 0.67/1.03 tff(128,plain,
% 0.67/1.03 (is_aligned(X!6, T1!4)),
% 0.67/1.03 inference(unit_resolution,[status(thm)],[127, 105])).
% 0.67/1.03 tff(129,plain,
% 0.67/1.03 (^[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)))))))))))),
% 0.67/1.03 inference(bind,[status(th)],[])).
% 0.67/1.03 tff(130,plain,
% 0.67/1.03 (![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))))))))))),
% 0.67/1.03 inference(quant_intro,[status(thm)],[129])).
% 0.67/1.03 tff(131,plain,
% 0.67/1.03 (^[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)))))))))))),
% 0.67/1.03 inference(bind,[status(th)],[])).
% 0.67/1.03 tff(132,plain,
% 0.67/1.03 (![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))))))))))),
% 0.67/1.03 inference(quant_intro,[status(thm)],[131])).
% 0.67/1.03 tff(133,plain,
% 0.67/1.03 (![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))))))),
% 0.67/1.03 inference(rewrite,[status(thm)],[])).
% 0.67/1.03 tff(134,plain,
% 0.67/1.03 (^[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))))))))),
% 0.67/1.03 inference(bind,[status(th)],[])).
% 0.67/1.03 tff(135,plain,
% 0.67/1.03 (![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))))))),
% 0.80/1.03 inference(quant_intro,[status(thm)],[134])).
% 0.80/1.03 tff(136,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')).
% 0.80/1.03 tff(137,plain,
% 0.80/1.03 (![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))))))),
% 0.80/1.03 inference(modus_ponens,[status(thm)],[136, 135])).
% 0.80/1.03 tff(138,plain,
% 0.80/1.03 (![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))))))),
% 0.80/1.03 inference(modus_ponens,[status(thm)],[137, 133])).
% 0.80/1.03 tff(139,plain,(
% 0.80/1.03 ![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))))))),
% 0.80/1.03 inference(skolemize,[status(sab)],[138])).
% 0.80/1.03 tff(140,plain,
% 0.80/1.03 (![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))))))))))),
% 0.80/1.03 inference(modus_ponens,[status(thm)],[139, 132])).
% 0.80/1.03 tff(141,plain,
% 0.80/1.03 (![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))))))))))),
% 0.80/1.03 inference(modus_ponens,[status(thm)],[140, 130])).
% 0.80/1.03 tff(142,plain,
% 0.80/1.03 (((~![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))))))))))),
% 0.80/1.03 inference(rewrite,[status(thm)],[])).
% 0.80/1.03 tff(143,plain,
% 0.80/1.03 (((~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))))))))))),
% 0.80/1.03 inference(rewrite,[status(thm)],[])).
% 0.80/1.03 tff(144,plain,
% 0.80/1.03 (((~![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)))))))))))),
% 0.80/1.04 inference(monotonicity,[status(thm)],[143])).
% 0.80/1.04 tff(145,plain,
% 0.80/1.04 (((~![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))))))))))),
% 0.80/1.04 inference(transitivity,[status(thm)],[144, 142])).
% 0.80/1.04 tff(146,plain,
% 0.80/1.04 ((~![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))))))))))),
% 0.80/1.04 inference(quant_inst,[status(thm)],[])).
% 0.80/1.04 tff(147,plain,
% 0.80/1.04 ((~![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)))))))))),
% 0.80/1.04 inference(modus_ponens,[status(thm)],[146, 145])).
% 0.80/1.04 tff(148,plain,
% 0.80/1.04 (~((~((~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))))))))),
% 0.80/1.04 inference(unit_resolution,[status(thm)],[147, 141, 64])).
% 0.80/1.04 tff(149,plain,
% 0.80/1.04 (((~((~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))))))),
% 0.80/1.04 inference(tautology,[status(thm)],[])).
% 0.80/1.04 tff(150,plain,
% 0.80/1.04 (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)))))),
% 0.80/1.04 inference(unit_resolution,[status(thm)],[149, 148])).
% 0.80/1.04 tff(151,assumption,(has_immunity(X!6, T1!4)), introduced(assumption)).
% 0.80/1.04 tff(152,plain,
% 0.80/1.04 (~has_endowment(X!6)),
% 0.80/1.04 inference(and_elim,[status(thm)],[49])).
% 0.80/1.04 tff(153,plain,
% 0.80/1.04 (^[X: $i, T: $i] : refl(((~has_immunity(X, T)) | has_endowment(X) | (~organization(X))) <=> ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X))))),
% 0.80/1.04 inference(bind,[status(th)],[])).
% 0.80/1.04 tff(154,plain,
% 0.80/1.04 (![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)))),
% 0.80/1.04 inference(quant_intro,[status(thm)],[153])).
% 0.80/1.04 tff(155,plain,
% 0.80/1.04 (^[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)))))),
% 0.80/1.04 inference(bind,[status(th)],[])).
% 0.80/1.04 tff(156,plain,
% 0.80/1.04 (![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)))),
% 0.80/1.04 inference(quant_intro,[status(thm)],[155])).
% 0.80/1.04 tff(157,plain,
% 0.80/1.04 (![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)))))),
% 0.80/1.04 inference(rewrite,[status(thm)],[])).
% 0.80/1.04 tff(158,plain,
% 0.80/1.04 (^[X: $i, T: $i] : rewrite(((organization(X) & (~has_endowment(X))) => (~has_immunity(X, T))) <=> ((~has_immunity(X, T)) | (~(organization(X) & (~has_endowment(X))))))),
% 0.80/1.04 inference(bind,[status(th)],[])).
% 0.80/1.04 tff(159,plain,
% 0.80/1.04 (![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)))))),
% 0.80/1.04 inference(quant_intro,[status(thm)],[158])).
% 0.80/1.04 tff(160,axiom,(![X: $i, T: $i] : ((organization(X) & (~has_endowment(X))) => (~has_immunity(X, T)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','assumption_1')).
% 0.80/1.04 tff(161,plain,
% 0.80/1.04 (![X: $i, T: $i] : ((~has_immunity(X, T)) | (~(organization(X) & (~has_endowment(X)))))),
% 0.80/1.04 inference(modus_ponens,[status(thm)],[160, 159])).
% 0.80/1.04 tff(162,plain,
% 0.80/1.04 (![X: $i, T: $i] : ((~has_immunity(X, T)) | (~(organization(X) & (~has_endowment(X)))))),
% 0.80/1.04 inference(modus_ponens,[status(thm)],[161, 157])).
% 0.80/1.04 tff(163,plain,(
% 0.80/1.04 ![X: $i, T: $i] : ((~has_immunity(X, T)) | (~(organization(X) & (~has_endowment(X)))))),
% 0.80/1.04 inference(skolemize,[status(sab)],[162])).
% 0.80/1.04 tff(164,plain,
% 0.80/1.04 (![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))),
% 0.80/1.04 inference(modus_ponens,[status(thm)],[163, 156])).
% 0.80/1.04 tff(165,plain,
% 0.80/1.04 (![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))),
% 0.80/1.04 inference(modus_ponens,[status(thm)],[164, 154])).
% 0.80/1.04 tff(166,plain,
% 0.80/1.04 (((~![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)))),
% 0.80/1.04 inference(rewrite,[status(thm)],[])).
% 0.80/1.04 tff(167,plain,
% 0.80/1.04 (((~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)))),
% 0.80/1.04 inference(rewrite,[status(thm)],[])).
% 0.80/1.04 tff(168,plain,
% 0.80/1.04 (((~![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))))),
% 0.80/1.04 inference(monotonicity,[status(thm)],[167])).
% 0.80/1.04 tff(169,plain,
% 0.80/1.04 (((~![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)))),
% 0.80/1.04 inference(transitivity,[status(thm)],[168, 166])).
% 0.80/1.04 tff(170,plain,
% 0.80/1.04 ((~![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)))),
% 0.80/1.04 inference(quant_inst,[status(thm)],[])).
% 0.80/1.04 tff(171,plain,
% 0.80/1.04 ((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | has_endowment(X!6) | (~organization(X!6)) | (~has_immunity(X!6, T1!4))),
% 0.80/1.04 inference(modus_ponens,[status(thm)],[170, 169])).
% 0.80/1.04 tff(172,plain,
% 0.80/1.04 ($false),
% 0.80/1.04 inference(unit_resolution,[status(thm)],[171, 165, 64, 152, 151])).
% 0.80/1.04 tff(173,plain,(~has_immunity(X!6, T1!4)), inference(lemma,lemma(discharge,[]))).
% 0.80/1.04 tff(174,plain,
% 0.80/1.04 ((~(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)))))),
% 0.80/1.04 inference(tautology,[status(thm)],[])).
% 0.80/1.04 tff(175,plain,
% 0.80/1.04 ((~(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))))))) | (~((~((~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)))))),
% 0.80/1.04 inference(unit_resolution,[status(thm)],[174, 173])).
% 0.80/1.05 tff(176,plain,
% 0.80/1.05 (~((~((~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))))),
% 0.80/1.05 inference(unit_resolution,[status(thm)],[175, 150])).
% 0.80/1.05 tff(177,plain,
% 0.80/1.05 (((~((~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))),
% 0.80/1.05 inference(tautology,[status(thm)],[])).
% 0.80/1.05 tff(178,plain,
% 0.80/1.05 (positional_advantage(X!6, T1!4) | (~is_aligned(X!6, T1!4)) | (hazard_of_mortality(X!6, T1!4) = mod2)),
% 0.80/1.05 inference(unit_resolution,[status(thm)],[177, 176])).
% 0.80/1.05 tff(179,plain,
% 0.80/1.05 ((~![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))) | (smaller_or_equal(age(X!6, T1!4), tau) <=> ((age(X!6, T1!4) = tau) | smaller(age(X!6, T1!4), tau)))),
% 0.80/1.05 inference(quant_inst,[status(thm)],[])).
% 0.80/1.05 tff(180,plain,
% 0.80/1.05 (smaller_or_equal(age(X!6, T1!4), tau) <=> ((age(X!6, T1!4) = tau) | smaller(age(X!6, T1!4), tau))),
% 0.80/1.05 inference(unit_resolution,[status(thm)],[179, 38])).
% 0.80/1.05 tff(181,assumption,(~smaller_or_equal(age(X!6, T1!4), tau)), introduced(assumption)).
% 0.80/1.05 tff(182,plain,
% 0.80/1.05 ((~(smaller_or_equal(age(X!6, T1!4), tau) <=> ((age(X!6, T1!4) = tau) | smaller(age(X!6, T1!4), tau)))) | smaller_or_equal(age(X!6, T1!4), tau) | (~((age(X!6, T1!4) = tau) | smaller(age(X!6, T1!4), tau)))),
% 0.80/1.05 inference(tautology,[status(thm)],[])).
% 0.80/1.05 tff(183,plain,
% 0.80/1.05 ((~(smaller_or_equal(age(X!6, T1!4), tau) <=> ((age(X!6, T1!4) = tau) | smaller(age(X!6, T1!4), tau)))) | (~((age(X!6, T1!4) = tau) | smaller(age(X!6, T1!4), tau)))),
% 0.80/1.05 inference(unit_resolution,[status(thm)],[182, 181])).
% 0.80/1.05 tff(184,plain,
% 0.80/1.05 (~((age(X!6, T1!4) = tau) | smaller(age(X!6, T1!4), tau))),
% 0.80/1.05 inference(unit_resolution,[status(thm)],[183, 180])).
% 0.80/1.05 tff(185,plain,
% 0.80/1.05 (((age(X!6, T1!4) = tau) | smaller(age(X!6, T1!4), tau)) | (~smaller(age(X!6, T1!4), tau))),
% 0.80/1.05 inference(tautology,[status(thm)],[])).
% 0.80/1.05 tff(186,plain,
% 0.80/1.05 (~smaller(age(X!6, T1!4), tau)),
% 0.80/1.05 inference(unit_resolution,[status(thm)],[185, 184])).
% 0.80/1.05 tff(187,plain,
% 0.80/1.05 (((age(X!6, T1!4) = tau) | smaller(age(X!6, T1!4), tau)) | (~(age(X!6, T1!4) = tau))),
% 0.80/1.05 inference(tautology,[status(thm)],[])).
% 0.80/1.05 tff(188,plain,
% 0.80/1.05 (~(age(X!6, T1!4) = tau)),
% 0.80/1.05 inference(unit_resolution,[status(thm)],[187, 184])).
% 0.80/1.05 tff(189,plain,
% 0.80/1.05 (^[X: $i, Y: $i] : refl(((X = Y) | smaller(X, Y) | greater(X, Y)) <=> ((X = Y) | smaller(X, Y) | greater(X, Y)))),
% 0.80/1.05 inference(bind,[status(th)],[])).
% 0.80/1.05 tff(190,plain,
% 0.80/1.05 (![X: $i, Y: $i] : ((X = Y) | smaller(X, Y) | greater(X, Y)) <=> ![X: $i, Y: $i] : ((X = Y) | smaller(X, Y) | greater(X, Y))),
% 0.80/1.05 inference(quant_intro,[status(thm)],[189])).
% 0.80/1.05 tff(191,plain,
% 0.80/1.05 (![X: $i, Y: $i] : ((X = Y) | smaller(X, Y) | greater(X, Y)) <=> ![X: $i, Y: $i] : ((X = Y) | smaller(X, Y) | greater(X, Y))),
% 0.80/1.05 inference(rewrite,[status(thm)],[])).
% 0.80/1.05 tff(192,plain,
% 0.80/1.05 (^[X: $i, Y: $i] : trans(monotonicity(rewrite((smaller(X, Y) | (X = Y)) <=> ((X = Y) | smaller(X, Y))), (((smaller(X, Y) | (X = Y)) | greater(X, Y)) <=> (((X = Y) | smaller(X, Y)) | greater(X, Y)))), rewrite((((X = Y) | smaller(X, Y)) | greater(X, Y)) <=> ((X = Y) | smaller(X, Y) | greater(X, Y))), (((smaller(X, Y) | (X = Y)) | greater(X, Y)) <=> ((X = Y) | smaller(X, Y) | greater(X, Y))))),
% 0.80/1.05 inference(bind,[status(th)],[])).
% 0.80/1.05 tff(193,plain,
% 0.80/1.05 (![X: $i, Y: $i] : ((smaller(X, Y) | (X = Y)) | greater(X, Y)) <=> ![X: $i, Y: $i] : ((X = Y) | smaller(X, Y) | greater(X, Y))),
% 0.80/1.05 inference(quant_intro,[status(thm)],[192])).
% 0.80/1.05 tff(194,axiom,(![X: $i, Y: $i] : ((smaller(X, Y) | (X = Y)) | greater(X, Y))), file('/export/starexec/sandbox2/benchmark/Axioms/MGT001+0.ax','meaning_postulate_greater_comparable')).
% 0.80/1.05 tff(195,plain,
% 0.80/1.05 (![X: $i, Y: $i] : ((X = Y) | smaller(X, Y) | greater(X, Y))),
% 0.80/1.05 inference(modus_ponens,[status(thm)],[194, 193])).
% 0.80/1.05 tff(196,plain,
% 0.80/1.05 (![X: $i, Y: $i] : ((X = Y) | smaller(X, Y) | greater(X, Y))),
% 0.80/1.05 inference(modus_ponens,[status(thm)],[195, 191])).
% 0.80/1.05 tff(197,plain,(
% 0.80/1.05 ![X: $i, Y: $i] : ((X = Y) | smaller(X, Y) | greater(X, Y))),
% 0.80/1.05 inference(skolemize,[status(sab)],[196])).
% 0.80/1.05 tff(198,plain,
% 0.80/1.05 (![X: $i, Y: $i] : ((X = Y) | smaller(X, Y) | greater(X, Y))),
% 0.80/1.05 inference(modus_ponens,[status(thm)],[197, 190])).
% 0.80/1.05 tff(199,plain,
% 0.80/1.05 (((~![X: $i, Y: $i] : ((X = Y) | smaller(X, Y) | greater(X, Y))) | (greater(age(X!6, T1!4), tau) | smaller(age(X!6, T1!4), tau) | (age(X!6, T1!4) = tau))) <=> ((~![X: $i, Y: $i] : ((X = Y) | smaller(X, Y) | greater(X, Y))) | greater(age(X!6, T1!4), tau) | smaller(age(X!6, T1!4), tau) | (age(X!6, T1!4) = tau))),
% 0.80/1.05 inference(rewrite,[status(thm)],[])).
% 0.80/1.05 tff(200,plain,
% 0.80/1.05 (((age(X!6, T1!4) = tau) | smaller(age(X!6, T1!4), tau) | greater(age(X!6, T1!4), tau)) <=> (greater(age(X!6, T1!4), tau) | smaller(age(X!6, T1!4), tau) | (age(X!6, T1!4) = tau))),
% 0.80/1.05 inference(rewrite,[status(thm)],[])).
% 0.80/1.05 tff(201,plain,
% 0.80/1.05 (((~![X: $i, Y: $i] : ((X = Y) | smaller(X, Y) | greater(X, Y))) | ((age(X!6, T1!4) = tau) | smaller(age(X!6, T1!4), tau) | greater(age(X!6, T1!4), tau))) <=> ((~![X: $i, Y: $i] : ((X = Y) | smaller(X, Y) | greater(X, Y))) | (greater(age(X!6, T1!4), tau) | smaller(age(X!6, T1!4), tau) | (age(X!6, T1!4) = tau)))),
% 0.80/1.05 inference(monotonicity,[status(thm)],[200])).
% 0.80/1.05 tff(202,plain,
% 0.80/1.05 (((~![X: $i, Y: $i] : ((X = Y) | smaller(X, Y) | greater(X, Y))) | ((age(X!6, T1!4) = tau) | smaller(age(X!6, T1!4), tau) | greater(age(X!6, T1!4), tau))) <=> ((~![X: $i, Y: $i] : ((X = Y) | smaller(X, Y) | greater(X, Y))) | greater(age(X!6, T1!4), tau) | smaller(age(X!6, T1!4), tau) | (age(X!6, T1!4) = tau))),
% 0.80/1.05 inference(transitivity,[status(thm)],[201, 199])).
% 0.80/1.05 tff(203,plain,
% 0.80/1.05 ((~![X: $i, Y: $i] : ((X = Y) | smaller(X, Y) | greater(X, Y))) | ((age(X!6, T1!4) = tau) | smaller(age(X!6, T1!4), tau) | greater(age(X!6, T1!4), tau))),
% 0.80/1.05 inference(quant_inst,[status(thm)],[])).
% 0.80/1.05 tff(204,plain,
% 0.80/1.05 ((~![X: $i, Y: $i] : ((X = Y) | smaller(X, Y) | greater(X, Y))) | greater(age(X!6, T1!4), tau) | smaller(age(X!6, T1!4), tau) | (age(X!6, T1!4) = tau)),
% 0.80/1.05 inference(modus_ponens,[status(thm)],[203, 202])).
% 0.80/1.05 tff(205,plain,
% 0.80/1.05 (greater(age(X!6, T1!4), tau)),
% 0.80/1.05 inference(unit_resolution,[status(thm)],[204, 198, 188, 186])).
% 0.80/1.05 tff(206,plain,
% 0.80/1.05 ((~![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))) | (smaller(sigma, tau) <=> greater(tau, sigma))),
% 0.80/1.05 inference(quant_inst,[status(thm)],[])).
% 0.80/1.05 tff(207,plain,
% 0.80/1.05 (smaller(sigma, tau) <=> greater(tau, sigma)),
% 0.80/1.05 inference(unit_resolution,[status(thm)],[206, 7])).
% 0.80/1.05 tff(208,plain,
% 0.80/1.05 (smaller(sigma, tau)),
% 0.80/1.05 inference(and_elim,[status(thm)],[49])).
% 0.80/1.05 tff(209,plain,
% 0.80/1.05 ((~(smaller(sigma, tau) <=> greater(tau, sigma))) | (~smaller(sigma, tau)) | greater(tau, sigma)),
% 0.80/1.05 inference(tautology,[status(thm)],[])).
% 0.80/1.05 tff(210,plain,
% 0.80/1.05 ((~(smaller(sigma, tau) <=> greater(tau, sigma))) | greater(tau, sigma)),
% 0.80/1.05 inference(unit_resolution,[status(thm)],[209, 208])).
% 0.80/1.05 tff(211,plain,
% 0.80/1.05 (greater(tau, sigma)),
% 0.80/1.05 inference(unit_resolution,[status(thm)],[210, 207])).
% 0.80/1.05 tff(212,plain,
% 0.80/1.05 (![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)))),
% 0.80/1.05 inference(rewrite,[status(thm)],[])).
% 0.80/1.05 tff(213,plain,
% 0.80/1.05 (^[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)))))),
% 0.80/1.05 inference(bind,[status(th)],[])).
% 0.80/1.05 tff(214,plain,
% 0.80/1.05 (![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)))),
% 0.80/1.05 inference(quant_intro,[status(thm)],[213])).
% 0.80/1.05 tff(215,plain,
% 0.80/1.05 (![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))),
% 0.80/1.05 inference(rewrite,[status(thm)],[])).
% 0.80/1.05 tff(216,plain,
% 0.80/1.05 (^[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)))),
% 0.80/1.05 inference(bind,[status(th)],[])).
% 0.80/1.05 tff(217,plain,
% 0.80/1.05 (![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))),
% 0.80/1.05 inference(quant_intro,[status(thm)],[216])).
% 0.80/1.05 tff(218,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')).
% 0.80/1.05 tff(219,plain,
% 0.80/1.05 (![X: $i, Y: $i, Z: $i] : ((~(greater(X, Y) & greater(Y, Z))) | greater(X, Z))),
% 0.80/1.05 inference(modus_ponens,[status(thm)],[218, 217])).
% 0.80/1.05 tff(220,plain,
% 0.80/1.05 (![X: $i, Y: $i, Z: $i] : ((~(greater(X, Y) & greater(Y, Z))) | greater(X, Z))),
% 0.80/1.05 inference(modus_ponens,[status(thm)],[219, 215])).
% 0.80/1.05 tff(221,plain,(
% 0.80/1.05 ![X: $i, Y: $i, Z: $i] : ((~(greater(X, Y) & greater(Y, Z))) | greater(X, Z))),
% 0.80/1.05 inference(skolemize,[status(sab)],[220])).
% 0.80/1.05 tff(222,plain,
% 0.80/1.05 (![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))),
% 0.80/1.05 inference(modus_ponens,[status(thm)],[221, 214])).
% 0.80/1.05 tff(223,plain,
% 0.80/1.05 (![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))),
% 0.80/1.05 inference(modus_ponens,[status(thm)],[222, 212])).
% 0.80/1.05 tff(224,plain,
% 0.80/1.05 (((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | ((~greater(tau, sigma)) | (~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(tau, sigma)) | (~greater(age(X!6, T1!4), tau)) | greater(age(X!6, T1!4), sigma))),
% 0.80/1.05 inference(rewrite,[status(thm)],[])).
% 0.80/1.05 tff(225,plain,
% 0.80/1.05 ((greater(age(X!6, T1!4), sigma) | (~greater(tau, sigma)) | (~greater(age(X!6, T1!4), tau))) <=> ((~greater(tau, sigma)) | (~greater(age(X!6, T1!4), tau)) | greater(age(X!6, T1!4), sigma))),
% 0.80/1.05 inference(rewrite,[status(thm)],[])).
% 0.80/1.05 tff(226,plain,
% 0.80/1.05 (((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (greater(age(X!6, T1!4), sigma) | (~greater(tau, sigma)) | (~greater(age(X!6, T1!4), tau)))) <=> ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | ((~greater(tau, sigma)) | (~greater(age(X!6, T1!4), tau)) | greater(age(X!6, T1!4), sigma)))),
% 0.80/1.05 inference(monotonicity,[status(thm)],[225])).
% 0.80/1.05 tff(227,plain,
% 0.80/1.05 (((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (greater(age(X!6, T1!4), sigma) | (~greater(tau, sigma)) | (~greater(age(X!6, T1!4), tau)))) <=> ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (~greater(tau, sigma)) | (~greater(age(X!6, T1!4), tau)) | greater(age(X!6, T1!4), sigma))),
% 0.80/1.05 inference(transitivity,[status(thm)],[226, 224])).
% 0.80/1.05 tff(228,plain,
% 0.80/1.05 ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (greater(age(X!6, T1!4), sigma) | (~greater(tau, sigma)) | (~greater(age(X!6, T1!4), tau)))),
% 0.80/1.05 inference(quant_inst,[status(thm)],[])).
% 0.80/1.05 tff(229,plain,
% 0.80/1.05 ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (~greater(tau, sigma)) | (~greater(age(X!6, T1!4), tau)) | greater(age(X!6, T1!4), sigma)),
% 0.80/1.05 inference(modus_ponens,[status(thm)],[228, 227])).
% 0.80/1.05 tff(230,plain,
% 0.80/1.05 (greater(age(X!6, T1!4), sigma)),
% 0.80/1.05 inference(unit_resolution,[status(thm)],[229, 223, 211, 205])).
% 0.80/1.05 tff(231,plain,
% 0.80/1.05 (~greater(sigma, age(X!6, T1!4))),
% 0.80/1.05 inference(unit_resolution,[status(thm)],[23, 20, 230])).
% 0.80/1.05 tff(232,plain,
% 0.80/1.05 ((~(smaller(age(X!6, T1!4), sigma) <=> greater(sigma, age(X!6, T1!4)))) | (~smaller(age(X!6, T1!4), sigma))),
% 0.80/1.05 inference(unit_resolution,[status(thm)],[26, 231])).
% 0.80/1.05 tff(233,plain,
% 0.80/1.05 (~smaller(age(X!6, T1!4), sigma)),
% 0.80/1.05 inference(unit_resolution,[status(thm)],[232, 9])).
% 0.80/1.05 tff(234,plain,
% 0.80/1.05 (age(X!6, T1!4) = sigma),
% 0.80/1.05 inference(unit_resolution,[status(thm)],[55, 233])).
% 0.80/1.05 tff(235,plain,
% 0.80/1.05 (smaller_or_equal(age(X!6, T1!4), tau) <=> smaller_or_equal(sigma, tau)),
% 0.80/1.05 inference(monotonicity,[status(thm)],[234])).
% 0.80/1.05 tff(236,plain,
% 0.80/1.05 (smaller_or_equal(sigma, tau) <=> smaller_or_equal(age(X!6, T1!4), tau)),
% 0.80/1.05 inference(symmetry,[status(thm)],[235])).
% 0.80/1.05 tff(237,plain,
% 0.80/1.05 ((~![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))) | (smaller_or_equal(sigma, tau) <=> ((sigma = tau) | smaller(sigma, tau)))),
% 0.80/1.05 inference(quant_inst,[status(thm)],[])).
% 0.80/1.05 tff(238,plain,
% 0.80/1.05 (smaller_or_equal(sigma, tau) <=> ((sigma = tau) | smaller(sigma, tau))),
% 0.80/1.05 inference(unit_resolution,[status(thm)],[237, 38])).
% 0.80/1.05 tff(239,plain,
% 0.80/1.05 (((sigma = tau) | smaller(sigma, tau)) | (~smaller(sigma, tau))),
% 0.80/1.05 inference(tautology,[status(thm)],[])).
% 0.80/1.05 tff(240,plain,
% 0.80/1.05 ((sigma = tau) | smaller(sigma, tau)),
% 0.80/1.05 inference(unit_resolution,[status(thm)],[239, 208])).
% 0.80/1.05 tff(241,plain,
% 0.80/1.05 ((~(smaller_or_equal(sigma, tau) <=> ((sigma = tau) | smaller(sigma, tau)))) | smaller_or_equal(sigma, tau) | (~((sigma = tau) | smaller(sigma, tau)))),
% 0.80/1.05 inference(tautology,[status(thm)],[])).
% 0.80/1.05 tff(242,plain,
% 0.80/1.05 ((~(smaller_or_equal(sigma, tau) <=> ((sigma = tau) | smaller(sigma, tau)))) | smaller_or_equal(sigma, tau)),
% 0.80/1.05 inference(unit_resolution,[status(thm)],[241, 240])).
% 0.80/1.05 tff(243,plain,
% 0.80/1.05 (smaller_or_equal(sigma, tau)),
% 0.80/1.05 inference(unit_resolution,[status(thm)],[242, 238])).
% 0.80/1.05 tff(244,plain,
% 0.80/1.05 (smaller_or_equal(age(X!6, T1!4), tau)),
% 0.80/1.05 inference(modus_ponens,[status(thm)],[243, 236])).
% 0.80/1.05 tff(245,plain,
% 0.80/1.05 ($false),
% 0.80/1.05 inference(unit_resolution,[status(thm)],[181, 244])).
% 0.80/1.05 tff(246,plain,(smaller_or_equal(age(X!6, T1!4), tau)), inference(lemma,lemma(discharge,[]))).
% 0.80/1.05 tff(247,plain,
% 0.80/1.05 (^[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))))))))))),
% 0.80/1.05 inference(bind,[status(th)],[])).
% 0.80/1.05 tff(248,plain,
% 0.80/1.05 (![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)))))))))),
% 0.80/1.05 inference(quant_intro,[status(thm)],[247])).
% 0.80/1.05 tff(249,plain,
% 0.80/1.05 (^[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)))))))))),
% 0.80/1.05 inference(bind,[status(th)],[])).
% 0.80/1.05 tff(250,plain,
% 0.80/1.05 (![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))))))))),
% 0.80/1.05 inference(quant_intro,[status(thm)],[249])).
% 0.80/1.05 tff(251,plain,
% 0.80/1.05 (^[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)))))))))),
% 0.80/1.05 inference(bind,[status(th)],[])).
% 0.80/1.06 tff(252,plain,
% 0.80/1.06 (![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))))))))),
% 0.80/1.06 inference(quant_intro,[status(thm)],[251])).
% 0.80/1.06 tff(253,plain,
% 0.80/1.06 (![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))))))))),
% 0.80/1.06 inference(transitivity,[status(thm)],[252, 250])).
% 0.80/1.06 tff(254,plain,
% 0.80/1.06 (^[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))))))))))),
% 0.80/1.06 inference(bind,[status(th)],[])).
% 0.80/1.06 tff(255,plain,
% 0.80/1.06 (![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))))))))),
% 0.80/1.06 inference(quant_intro,[status(thm)],[254])).
% 0.80/1.06 tff(256,plain,
% 0.80/1.06 (![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))))),
% 0.80/1.06 inference(rewrite,[status(thm)],[])).
% 0.80/1.06 tff(257,plain,
% 0.80/1.06 (^[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)))))),
% 0.80/1.06 inference(bind,[status(th)],[])).
% 0.80/1.06 tff(258,plain,
% 0.80/1.06 (![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))))),
% 0.80/1.06 inference(quant_intro,[status(thm)],[257])).
% 0.80/1.06 tff(259,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')).
% 0.80/1.06 tff(260,plain,
% 0.80/1.06 (![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))))),
% 0.80/1.06 inference(modus_ponens,[status(thm)],[259, 258])).
% 0.80/1.06 tff(261,plain,
% 0.80/1.06 (![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))))),
% 0.80/1.06 inference(modus_ponens,[status(thm)],[260, 256])).
% 0.80/1.06 tff(262,plain,(
% 0.80/1.06 ![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)))))))),
% 0.80/1.06 inference(skolemize,[status(sab)],[261])).
% 0.80/1.06 tff(263,plain,
% 0.80/1.06 (![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))))))))),
% 0.80/1.06 inference(modus_ponens,[status(thm)],[262, 255])).
% 0.80/1.06 tff(264,plain,
% 0.80/1.06 (![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))))))))),
% 0.80/1.06 inference(modus_ponens,[status(thm)],[263, 253])).
% 0.80/1.06 tff(265,plain,
% 0.80/1.06 (![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)))))))))),
% 0.80/1.06 inference(modus_ponens,[status(thm)],[264, 248])).
% 0.80/1.06 tff(266,plain,
% 0.80/1.06 ((~![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)))))))))),
% 0.80/1.06 inference(quant_inst,[status(thm)],[])).
% 0.80/1.06 tff(267,plain,
% 0.80/1.06 (~((~(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))))))))),
% 0.80/1.06 inference(unit_resolution,[status(thm)],[266, 265])).
% 0.80/1.06 tff(268,plain,
% 0.80/1.06 (((~(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))))))),
% 0.80/1.06 inference(tautology,[status(thm)],[])).
% 0.80/1.06 tff(269,plain,
% 0.80/1.06 ((~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)))))),
% 0.80/1.06 inference(unit_resolution,[status(thm)],[268, 267])).
% 0.80/1.06 tff(270,plain,
% 0.80/1.06 (robust_position(X!6)),
% 0.80/1.06 inference(and_elim,[status(thm)],[49])).
% 0.80/1.06 tff(271,plain,
% 0.80/1.06 ((~((~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)))))),
% 0.80/1.06 inference(tautology,[status(thm)],[])).
% 0.80/1.06 tff(272,plain,
% 0.80/1.06 ((~((~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)))))),
% 0.80/1.06 inference(unit_resolution,[status(thm)],[271, 270])).
% 0.80/1.06 tff(273,plain,
% 0.80/1.06 (![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)))))),
% 0.80/1.06 inference(unit_resolution,[status(thm)],[272, 269])).
% 0.80/1.06 tff(274,plain,
% 0.80/1.06 ((~![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)))))),
% 0.80/1.06 inference(quant_inst,[status(thm)],[])).
% 0.80/1.06 tff(275,plain,
% 0.80/1.06 (~((~((~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))))),
% 0.80/1.06 inference(unit_resolution,[status(thm)],[274, 273])).
% 0.80/1.06 tff(276,plain,
% 0.80/1.06 (((~((~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)))),
% 0.80/1.06 inference(tautology,[status(thm)],[])).
% 0.80/1.06 tff(277,plain,
% 0.80/1.06 ((~positional_advantage(X!6, T1!4)) | (~smaller_or_equal(age(X!6, T1!4), tau))),
% 0.80/1.06 inference(unit_resolution,[status(thm)],[276, 275])).
% 0.80/1.06 tff(278,plain,
% 0.80/1.06 ((~((~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))),
% 0.80/1.06 inference(tautology,[status(thm)],[])).
% 0.80/1.06 tff(279,plain,
% 0.80/1.06 ((~positional_advantage(X!6, T1!4)) | (~smaller_or_equal(age(X!6, T1!4), tau))),
% 0.80/1.06 inference(unit_resolution,[status(thm)],[278, 277])).
% 0.80/1.06 tff(280,plain,
% 0.80/1.06 (~positional_advantage(X!6, T1!4)),
% 0.80/1.06 inference(unit_resolution,[status(thm)],[279, 246])).
% 0.80/1.06 tff(281,plain,
% 0.80/1.06 ((~(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)),
% 0.80/1.06 inference(tautology,[status(thm)],[])).
% 0.80/1.06 tff(282,plain,
% 0.80/1.06 ((~is_aligned(X!6, T1!4)) | (hazard_of_mortality(X!6, T1!4) = mod2)),
% 0.80/1.06 inference(unit_resolution,[status(thm)],[281, 280, 178])).
% 0.80/1.06 tff(283,plain,
% 0.80/1.06 (hazard_of_mortality(X!6, T1!4) = mod2),
% 0.80/1.06 inference(unit_resolution,[status(thm)],[282, 128])).
% 0.80/1.06 tff(284,assumption,(has_immunity(X!6, T0!5)), introduced(assumption)).
% 0.80/1.06 tff(285,plain,
% 0.80/1.06 (((~![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)))),
% 0.80/1.06 inference(rewrite,[status(thm)],[])).
% 0.80/1.06 tff(286,plain,
% 0.80/1.06 (((~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)))),
% 0.80/1.06 inference(rewrite,[status(thm)],[])).
% 0.80/1.06 tff(287,plain,
% 0.80/1.06 (((~![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))))),
% 0.80/1.06 inference(monotonicity,[status(thm)],[286])).
% 0.80/1.06 tff(288,plain,
% 0.80/1.06 (((~![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)))),
% 0.80/1.06 inference(transitivity,[status(thm)],[287, 285])).
% 0.80/1.06 tff(289,plain,
% 0.80/1.06 ((~![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)))),
% 0.80/1.06 inference(quant_inst,[status(thm)],[])).
% 0.80/1.06 tff(290,plain,
% 0.80/1.06 ((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | has_endowment(X!6) | (~organization(X!6)) | (~has_immunity(X!6, T0!5))),
% 0.80/1.06 inference(modus_ponens,[status(thm)],[289, 288])).
% 0.80/1.06 tff(291,plain,
% 0.80/1.06 ($false),
% 0.80/1.06 inference(unit_resolution,[status(thm)],[290, 165, 64, 152, 284])).
% 0.80/1.06 tff(292,plain,(~has_immunity(X!6, T0!5)), inference(lemma,lemma(discharge,[]))).
% 0.80/1.06 tff(293,plain,
% 0.80/1.06 (((~![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))))))))))),
% 0.80/1.07 inference(rewrite,[status(thm)],[])).
% 0.80/1.07 tff(294,plain,
% 0.80/1.07 (((~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))))))))))),
% 0.80/1.07 inference(rewrite,[status(thm)],[])).
% 0.80/1.07 tff(295,plain,
% 0.80/1.07 (((~![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)))))))))))),
% 0.80/1.07 inference(monotonicity,[status(thm)],[294])).
% 0.80/1.07 tff(296,plain,
% 0.80/1.07 (((~![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))))))))))),
% 0.80/1.07 inference(transitivity,[status(thm)],[295, 293])).
% 0.80/1.07 tff(297,plain,
% 0.80/1.07 ((~![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))))))))))),
% 0.80/1.07 inference(quant_inst,[status(thm)],[])).
% 0.80/1.07 tff(298,plain,
% 0.80/1.07 ((~![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)))))))))),
% 0.80/1.07 inference(modus_ponens,[status(thm)],[297, 296])).
% 0.80/1.07 tff(299,plain,
% 0.80/1.07 (~((~((~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))))))))),
% 0.80/1.07 inference(unit_resolution,[status(thm)],[298, 141, 64])).
% 0.80/1.07 tff(300,plain,
% 0.80/1.07 (((~((~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))))))),
% 0.80/1.07 inference(tautology,[status(thm)],[])).
% 0.80/1.07 tff(301,plain,
% 0.80/1.07 (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)))))),
% 0.80/1.07 inference(unit_resolution,[status(thm)],[300, 299])).
% 0.80/1.07 tff(302,plain,
% 0.80/1.07 ((~(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)))))),
% 0.80/1.08 inference(tautology,[status(thm)],[])).
% 0.80/1.08 tff(303,plain,
% 0.80/1.08 (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)))))),
% 0.80/1.08 inference(unit_resolution,[status(thm)],[302, 301])).
% 0.80/1.08 tff(304,plain,
% 0.80/1.08 (~((~((~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))))),
% 0.80/1.08 inference(unit_resolution,[status(thm)],[303, 292])).
% 0.80/1.08 tff(305,plain,
% 0.80/1.08 (((~((~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))),
% 0.80/1.08 inference(tautology,[status(thm)],[])).
% 0.80/1.08 tff(306,plain,
% 0.80/1.08 (positional_advantage(X!6, T0!5) | (~is_aligned(X!6, T0!5)) | (hazard_of_mortality(X!6, T0!5) = mod2)),
% 0.80/1.08 inference(unit_resolution,[status(thm)],[305, 304])).
% 0.80/1.08 tff(307,plain,
% 0.80/1.08 ((~![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)))))),
% 0.80/1.08 inference(quant_inst,[status(thm)],[])).
% 0.80/1.08 tff(308,plain,
% 0.80/1.08 (~((~((~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))))),
% 0.80/1.08 inference(unit_resolution,[status(thm)],[307, 273])).
% 0.80/1.08 tff(309,plain,
% 0.80/1.08 (((~((~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)))),
% 0.80/1.08 inference(tautology,[status(thm)],[])).
% 0.80/1.08 tff(310,plain,
% 0.80/1.08 ((~positional_advantage(X!6, T0!5)) | (~smaller_or_equal(age(X!6, T0!5), tau))),
% 0.80/1.08 inference(unit_resolution,[status(thm)],[309, 308])).
% 0.80/1.08 tff(311,plain,
% 0.80/1.08 (smaller_or_equal(age(X!6, T0!5), tau) <=> smaller_or_equal(zero, tau)),
% 0.80/1.08 inference(monotonicity,[status(thm)],[63])).
% 0.80/1.08 tff(312,plain,
% 0.80/1.08 (smaller_or_equal(zero, tau) <=> smaller_or_equal(age(X!6, T0!5), tau)),
% 0.80/1.08 inference(symmetry,[status(thm)],[311])).
% 0.80/1.08 tff(313,plain,
% 0.80/1.08 ((~![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))) | (smaller_or_equal(zero, tau) <=> ((zero = tau) | smaller(zero, tau)))),
% 0.80/1.08 inference(quant_inst,[status(thm)],[])).
% 0.80/1.08 tff(314,plain,
% 0.80/1.08 (smaller_or_equal(zero, tau) <=> ((zero = tau) | smaller(zero, tau))),
% 0.80/1.08 inference(unit_resolution,[status(thm)],[313, 38])).
% 0.80/1.08 tff(315,plain,
% 0.80/1.08 ((~![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))) | (smaller(zero, tau) <=> greater(tau, zero))),
% 0.80/1.08 inference(quant_inst,[status(thm)],[])).
% 0.80/1.08 tff(316,plain,
% 0.80/1.08 (smaller(zero, tau) <=> greater(tau, zero)),
% 0.80/1.08 inference(unit_resolution,[status(thm)],[315, 7])).
% 0.80/1.08 tff(317,plain,
% 0.80/1.08 (greater(tau, zero)),
% 0.80/1.08 inference(and_elim,[status(thm)],[49])).
% 0.80/1.08 tff(318,plain,
% 0.80/1.08 ((~(smaller(zero, tau) <=> greater(tau, zero))) | smaller(zero, tau) | (~greater(tau, zero))),
% 0.80/1.08 inference(tautology,[status(thm)],[])).
% 0.80/1.08 tff(319,plain,
% 0.80/1.08 ((~(smaller(zero, tau) <=> greater(tau, zero))) | smaller(zero, tau)),
% 0.80/1.08 inference(unit_resolution,[status(thm)],[318, 317])).
% 0.80/1.08 tff(320,plain,
% 0.80/1.08 (smaller(zero, tau)),
% 0.80/1.08 inference(unit_resolution,[status(thm)],[319, 316])).
% 0.80/1.08 tff(321,plain,
% 0.80/1.08 (((zero = tau) | smaller(zero, tau)) | (~smaller(zero, tau))),
% 0.80/1.08 inference(tautology,[status(thm)],[])).
% 0.80/1.08 tff(322,plain,
% 0.80/1.08 ((zero = tau) | smaller(zero, tau)),
% 0.80/1.08 inference(unit_resolution,[status(thm)],[321, 320])).
% 0.80/1.08 tff(323,plain,
% 0.80/1.08 ((~(smaller_or_equal(zero, tau) <=> ((zero = tau) | smaller(zero, tau)))) | smaller_or_equal(zero, tau) | (~((zero = tau) | smaller(zero, tau)))),
% 0.80/1.08 inference(tautology,[status(thm)],[])).
% 0.80/1.08 tff(324,plain,
% 0.80/1.08 ((~(smaller_or_equal(zero, tau) <=> ((zero = tau) | smaller(zero, tau)))) | smaller_or_equal(zero, tau)),
% 0.80/1.08 inference(unit_resolution,[status(thm)],[323, 322])).
% 0.80/1.08 tff(325,plain,
% 0.80/1.08 (smaller_or_equal(zero, tau)),
% 0.80/1.08 inference(unit_resolution,[status(thm)],[324, 314])).
% 0.80/1.08 tff(326,plain,
% 0.80/1.08 (smaller_or_equal(age(X!6, T0!5), tau)),
% 0.80/1.08 inference(modus_ponens,[status(thm)],[325, 312])).
% 0.80/1.08 tff(327,plain,
% 0.80/1.08 ((~((~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))),
% 0.80/1.08 inference(tautology,[status(thm)],[])).
% 0.80/1.08 tff(328,plain,
% 0.80/1.08 (~positional_advantage(X!6, T0!5)),
% 0.80/1.08 inference(unit_resolution,[status(thm)],[327, 326, 310])).
% 0.80/1.08 tff(329,plain,
% 0.80/1.08 ((~(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)),
% 0.80/1.08 inference(tautology,[status(thm)],[])).
% 0.80/1.08 tff(330,plain,
% 0.80/1.08 ((~(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)),
% 0.80/1.08 inference(unit_resolution,[status(thm)],[329, 125])).
% 0.80/1.08 tff(331,plain,
% 0.80/1.08 ((~(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)),
% 0.80/1.08 inference(unit_resolution,[status(thm)],[330, 328])).
% 0.80/1.08 tff(332,plain,
% 0.80/1.08 (hazard_of_mortality(X!6, T0!5) = mod2),
% 0.80/1.08 inference(unit_resolution,[status(thm)],[331, 306])).
% 0.80/1.08 tff(333,plain,
% 0.80/1.08 (mod2 = hazard_of_mortality(X!6, T0!5)),
% 0.80/1.08 inference(symmetry,[status(thm)],[332])).
% 0.80/1.08 tff(334,plain,
% 0.80/1.08 ((hazard_of_mortality(X!6, T1!4) = mod2) <=> (hazard_of_mortality(X!6, T1!4) = hazard_of_mortality(X!6, T0!5))),
% 0.80/1.08 inference(monotonicity,[status(thm)],[333])).
% 0.80/1.08 tff(335,assumption,(hazard_of_mortality(X!6, T1!4) = mod2), introduced(assumption)).
% 0.80/1.08 tff(336,plain,
% 0.80/1.08 (hazard_of_mortality(X!6, T1!4) = hazard_of_mortality(X!6, T0!5)),
% 0.80/1.08 inference(modus_ponens,[status(thm)],[335, 334])).
% 0.80/1.08 tff(337,assumption,(hazard_of_mortality(X!6, T2!3) = high), introduced(assumption)).
% 0.80/1.08 tff(338,plain,
% 0.80/1.08 (smaller(hazard_of_mortality(X!6, T1!4), hazard_of_mortality(X!6, T2!3)) <=> smaller(mod2, high)),
% 0.80/1.08 inference(monotonicity,[status(thm)],[335, 337])).
% 0.80/1.08 tff(339,plain,
% 0.80/1.08 (smaller(mod2, high) <=> smaller(hazard_of_mortality(X!6, T1!4), hazard_of_mortality(X!6, T2!3))),
% 0.80/1.08 inference(symmetry,[status(thm)],[338])).
% 0.80/1.08 tff(340,plain,
% 0.80/1.08 ((~![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))) | (smaller(mod2, high) <=> greater(high, mod2))),
% 0.80/1.08 inference(quant_inst,[status(thm)],[])).
% 0.80/1.08 tff(341,plain,
% 0.80/1.08 (smaller(mod2, high) <=> greater(high, mod2)),
% 0.80/1.08 inference(unit_resolution,[status(thm)],[340, 7])).
% 0.80/1.08 tff(342,plain,
% 0.80/1.08 (greater(high, mod2) <=> greater(high, mod2)),
% 0.80/1.08 inference(rewrite,[status(thm)],[])).
% 0.80/1.08 tff(343,axiom,(greater(high, mod2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','assumption_18d')).
% 0.80/1.08 tff(344,plain,
% 0.80/1.08 (greater(high, mod2)),
% 0.80/1.08 inference(modus_ponens,[status(thm)],[343, 342])).
% 0.80/1.08 tff(345,plain,
% 0.80/1.08 ((~(smaller(mod2, high) <=> greater(high, mod2))) | smaller(mod2, high) | (~greater(high, mod2))),
% 0.80/1.08 inference(tautology,[status(thm)],[])).
% 0.80/1.08 tff(346,plain,
% 0.80/1.08 ((~(smaller(mod2, high) <=> greater(high, mod2))) | smaller(mod2, high)),
% 0.80/1.08 inference(unit_resolution,[status(thm)],[345, 344])).
% 0.80/1.08 tff(347,plain,
% 0.80/1.08 (smaller(mod2, high)),
% 0.80/1.08 inference(unit_resolution,[status(thm)],[346, 341])).
% 0.80/1.08 tff(348,plain,
% 0.80/1.08 (smaller(hazard_of_mortality(X!6, T1!4), hazard_of_mortality(X!6, T2!3))),
% 0.80/1.08 inference(modus_ponens,[status(thm)],[347, 339])).
% 0.80/1.08 tff(349,assumption,(~smaller(hazard_of_mortality(X!6, T3!2), hazard_of_mortality(X!6, T1!4))), introduced(assumption)).
% 0.80/1.08 tff(350,assumption,(hazard_of_mortality(X!6, T1!4) = high), introduced(assumption)).
% 0.80/1.08 tff(351,plain,
% 0.80/1.08 (high = hazard_of_mortality(X!6, T1!4)),
% 0.80/1.08 inference(symmetry,[status(thm)],[350])).
% 0.80/1.08 tff(352,assumption,(hazard_of_mortality(X!6, T3!2) = low), introduced(assumption)).
% 0.80/1.08 tff(353,plain,
% 0.80/1.08 (smaller(hazard_of_mortality(X!6, T3!2), hazard_of_mortality(X!6, T1!4)) <=> smaller(low, high)),
% 0.80/1.08 inference(monotonicity,[status(thm)],[352, 350])).
% 0.80/1.08 tff(354,plain,
% 0.80/1.08 (smaller(low, high) <=> smaller(hazard_of_mortality(X!6, T3!2), hazard_of_mortality(X!6, T1!4))),
% 0.80/1.08 inference(symmetry,[status(thm)],[353])).
% 0.80/1.08 tff(355,plain,
% 0.80/1.08 ((~![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))) | (smaller(low, high) <=> greater(high, low))),
% 0.80/1.08 inference(quant_inst,[status(thm)],[])).
% 0.80/1.08 tff(356,plain,
% 0.80/1.08 (smaller(low, high) <=> greater(high, low)),
% 0.80/1.08 inference(unit_resolution,[status(thm)],[355, 7])).
% 0.80/1.08 tff(357,plain,
% 0.80/1.08 (greater(mod1, low) <=> greater(mod1, low)),
% 0.80/1.08 inference(rewrite,[status(thm)],[])).
% 0.80/1.08 tff(358,axiom,(greater(mod1, low)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','assumption_18b')).
% 0.80/1.08 tff(359,plain,
% 0.80/1.08 (greater(mod1, low)),
% 0.80/1.08 inference(modus_ponens,[status(thm)],[358, 357])).
% 0.80/1.08 tff(360,plain,
% 0.80/1.08 (greater(high, mod1) <=> greater(high, mod1)),
% 0.80/1.08 inference(rewrite,[status(thm)],[])).
% 0.80/1.08 tff(361,axiom,(greater(high, mod1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','assumption_18a')).
% 0.80/1.08 tff(362,plain,
% 0.80/1.08 (greater(high, mod1)),
% 0.80/1.08 inference(modus_ponens,[status(thm)],[361, 360])).
% 0.80/1.08 tff(363,plain,
% 0.80/1.08 (((~![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)))),
% 0.80/1.08 inference(rewrite,[status(thm)],[])).
% 0.80/1.08 tff(364,plain,
% 0.80/1.08 ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (greater(high, low) | (~greater(mod1, low)) | (~greater(high, mod1)))),
% 0.80/1.08 inference(quant_inst,[status(thm)],[])).
% 0.80/1.08 tff(365,plain,
% 0.80/1.08 ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | greater(high, low) | (~greater(mod1, low)) | (~greater(high, mod1))),
% 0.80/1.08 inference(modus_ponens,[status(thm)],[364, 363])).
% 0.80/1.08 tff(366,plain,
% 0.80/1.08 (greater(high, low)),
% 0.80/1.08 inference(unit_resolution,[status(thm)],[365, 223, 362, 359])).
% 0.80/1.08 tff(367,plain,
% 0.80/1.08 ((~(smaller(low, high) <=> greater(high, low))) | smaller(low, high) | (~greater(high, low))),
% 0.80/1.08 inference(tautology,[status(thm)],[])).
% 0.80/1.08 tff(368,plain,
% 0.80/1.08 ((~(smaller(low, high) <=> greater(high, low))) | smaller(low, high)),
% 0.80/1.08 inference(unit_resolution,[status(thm)],[367, 366])).
% 0.80/1.08 tff(369,plain,
% 0.80/1.08 (smaller(low, high)),
% 0.80/1.08 inference(unit_resolution,[status(thm)],[368, 356])).
% 0.80/1.08 tff(370,plain,
% 0.80/1.08 (smaller(hazard_of_mortality(X!6, T3!2), hazard_of_mortality(X!6, T1!4))),
% 0.80/1.08 inference(modus_ponens,[status(thm)],[369, 354])).
% 0.80/1.08 tff(371,plain,
% 0.80/1.08 ($false),
% 0.80/1.08 inference(unit_resolution,[status(thm)],[349, 370])).
% 0.80/1.08 tff(372,plain,((~(hazard_of_mortality(X!6, T1!4) = high)) | smaller(hazard_of_mortality(X!6, T3!2), hazard_of_mortality(X!6, T1!4)) | (~(hazard_of_mortality(X!6, T3!2) = low))), inference(lemma,lemma(discharge,[]))).
% 0.80/1.08 tff(373,plain,
% 0.80/1.08 (~(hazard_of_mortality(X!6, T3!2) = low)),
% 0.80/1.08 inference(unit_resolution,[status(thm)],[372, 350, 349])).
% 0.80/1.09 tff(374,assumption,(hazard_of_mortality(X!6, T3!2) = mod1), introduced(assumption)).
% 0.80/1.09 tff(375,plain,
% 0.80/1.09 (smaller(hazard_of_mortality(X!6, T3!2), hazard_of_mortality(X!6, T1!4)) <=> smaller(mod1, high)),
% 0.80/1.09 inference(monotonicity,[status(thm)],[374, 350])).
% 0.80/1.09 tff(376,plain,
% 0.80/1.09 (smaller(mod1, high) <=> smaller(hazard_of_mortality(X!6, T3!2), hazard_of_mortality(X!6, T1!4))),
% 0.80/1.09 inference(symmetry,[status(thm)],[375])).
% 0.80/1.09 tff(377,plain,
% 0.80/1.09 ((~![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))) | (smaller(mod1, high) <=> greater(high, mod1))),
% 0.80/1.09 inference(quant_inst,[status(thm)],[])).
% 0.80/1.09 tff(378,plain,
% 0.80/1.09 (smaller(mod1, high) <=> greater(high, mod1)),
% 0.80/1.09 inference(unit_resolution,[status(thm)],[377, 7])).
% 0.80/1.09 tff(379,plain,
% 0.80/1.09 ((~(smaller(mod1, high) <=> greater(high, mod1))) | smaller(mod1, high) | (~greater(high, mod1))),
% 0.80/1.09 inference(tautology,[status(thm)],[])).
% 0.80/1.09 tff(380,plain,
% 0.80/1.09 ((~(smaller(mod1, high) <=> greater(high, mod1))) | smaller(mod1, high)),
% 0.80/1.09 inference(unit_resolution,[status(thm)],[379, 362])).
% 0.80/1.09 tff(381,plain,
% 0.80/1.09 (smaller(mod1, high)),
% 0.80/1.09 inference(unit_resolution,[status(thm)],[380, 378])).
% 0.80/1.09 tff(382,plain,
% 0.80/1.09 (smaller(hazard_of_mortality(X!6, T3!2), hazard_of_mortality(X!6, T1!4))),
% 0.80/1.09 inference(modus_ponens,[status(thm)],[381, 376])).
% 0.80/1.09 tff(383,plain,
% 0.80/1.09 ($false),
% 0.80/1.09 inference(unit_resolution,[status(thm)],[349, 382])).
% 0.80/1.09 tff(384,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,[]))).
% 0.80/1.09 tff(385,plain,
% 0.80/1.09 (~(hazard_of_mortality(X!6, T3!2) = mod1)),
% 0.80/1.09 inference(unit_resolution,[status(thm)],[384, 350, 349])).
% 0.80/1.09 tff(386,assumption,(~(hazard_of_mortality(X!6, T3!2) = mod1)), introduced(assumption)).
% 0.80/1.09 tff(387,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)).
% 0.80/1.09 tff(388,plain,
% 0.80/1.09 (((~((~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))),
% 0.80/1.09 inference(tautology,[status(thm)],[])).
% 0.80/1.09 tff(389,plain,
% 0.80/1.09 ((~positional_advantage(X!6, T3!2)) | is_aligned(X!6, T3!2) | (hazard_of_mortality(X!6, T3!2) = mod1)),
% 0.80/1.09 inference(unit_resolution,[status(thm)],[388, 387])).
% 0.80/1.09 tff(390,assumption,(~(hazard_of_mortality(X!6, T3!2) = low)), introduced(assumption)).
% 0.80/1.09 tff(391,plain,
% 0.80/1.09 (((~((~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))),
% 0.80/1.09 inference(tautology,[status(thm)],[])).
% 0.80/1.09 tff(392,plain,
% 0.80/1.09 ((~positional_advantage(X!6, T3!2)) | (~is_aligned(X!6, T3!2)) | (hazard_of_mortality(X!6, T3!2) = low)),
% 0.80/1.09 inference(unit_resolution,[status(thm)],[391, 387])).
% 0.80/1.09 tff(393,plain,
% 0.80/1.09 ((~![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)))))),
% 0.80/1.09 inference(quant_inst,[status(thm)],[])).
% 0.80/1.09 tff(394,plain,
% 0.80/1.09 (~((~((~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))))),
% 0.80/1.09 inference(unit_resolution,[status(thm)],[393, 273])).
% 0.80/1.09 tff(395,plain,
% 0.80/1.09 (((~((~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))),
% 0.80/1.09 inference(tautology,[status(thm)],[])).
% 0.80/1.09 tff(396,plain,
% 0.80/1.09 ((~greater(age(X!6, T3!2), tau)) | positional_advantage(X!6, T3!2)),
% 0.80/1.09 inference(unit_resolution,[status(thm)],[395, 394])).
% 0.80/1.09 tff(397,plain,
% 0.80/1.09 (greater(age(X!6, T3!2), tau)),
% 0.80/1.09 inference(and_elim,[status(thm)],[49])).
% 0.80/1.09 tff(398,plain,
% 0.80/1.09 ((~((~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)),
% 0.80/1.09 inference(tautology,[status(thm)],[])).
% 0.80/1.09 tff(399,plain,
% 0.80/1.09 ((~((~greater(age(X!6, T3!2), tau)) | positional_advantage(X!6, T3!2))) | positional_advantage(X!6, T3!2)),
% 0.80/1.09 inference(unit_resolution,[status(thm)],[398, 397])).
% 0.80/1.09 tff(400,plain,
% 0.80/1.09 (positional_advantage(X!6, T3!2)),
% 0.80/1.09 inference(unit_resolution,[status(thm)],[399, 396])).
% 0.80/1.09 tff(401,plain,
% 0.80/1.09 ((~((~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)),
% 0.80/1.09 inference(tautology,[status(thm)],[])).
% 0.80/1.09 tff(402,plain,
% 0.80/1.09 ((~((~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)),
% 0.80/1.09 inference(unit_resolution,[status(thm)],[401, 400])).
% 0.80/1.09 tff(403,plain,
% 0.80/1.09 (~is_aligned(X!6, T3!2)),
% 0.80/1.09 inference(unit_resolution,[status(thm)],[402, 392, 390])).
% 0.80/1.09 tff(404,plain,
% 0.80/1.09 ((~((~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)),
% 0.80/1.09 inference(tautology,[status(thm)],[])).
% 0.80/1.09 tff(405,plain,
% 0.80/1.09 ((~((~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)),
% 0.80/1.09 inference(unit_resolution,[status(thm)],[404, 400])).
% 0.80/1.09 tff(406,plain,
% 0.80/1.09 ($false),
% 0.80/1.09 inference(unit_resolution,[status(thm)],[405, 403, 389, 386])).
% 0.80/1.09 tff(407,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,[]))).
% 0.80/1.09 tff(408,plain,
% 0.80/1.09 ((~((~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)))),
% 0.80/1.09 inference(unit_resolution,[status(thm)],[407, 385, 373])).
% 0.80/1.09 tff(409,plain,
% 0.80/1.09 (((~![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))))))))))),
% 0.80/1.09 inference(rewrite,[status(thm)],[])).
% 0.80/1.09 tff(410,plain,
% 0.80/1.09 (((~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))))))))))),
% 0.80/1.09 inference(rewrite,[status(thm)],[])).
% 0.80/1.09 tff(411,plain,
% 0.80/1.09 (((~![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)))))))))))),
% 0.80/1.09 inference(monotonicity,[status(thm)],[410])).
% 0.80/1.09 tff(412,plain,
% 0.80/1.09 (((~![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))))))))))),
% 0.80/1.09 inference(transitivity,[status(thm)],[411, 409])).
% 0.80/1.09 tff(413,plain,
% 0.80/1.09 ((~![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))))))))))),
% 0.80/1.10 inference(quant_inst,[status(thm)],[])).
% 0.80/1.10 tff(414,plain,
% 0.80/1.10 ((~![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)))))))))),
% 0.80/1.10 inference(modus_ponens,[status(thm)],[413, 412])).
% 0.80/1.10 tff(415,plain,
% 0.80/1.10 (~((~((~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))))))))),
% 0.80/1.10 inference(unit_resolution,[status(thm)],[414, 141, 64])).
% 0.80/1.10 tff(416,plain,
% 0.80/1.10 (((~((~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))))))),
% 0.80/1.10 inference(tautology,[status(thm)],[])).
% 0.80/1.10 tff(417,plain,
% 0.80/1.10 (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)))))),
% 0.80/1.10 inference(unit_resolution,[status(thm)],[416, 415])).
% 0.80/1.10 tff(418,plain,
% 0.80/1.10 ((~(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)))))),
% 0.80/1.10 inference(tautology,[status(thm)],[])).
% 0.80/1.10 tff(419,plain,
% 0.80/1.10 (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)))))),
% 0.80/1.10 inference(unit_resolution,[status(thm)],[418, 417])).
% 0.80/1.10 tff(420,plain,
% 0.80/1.10 (has_immunity(X!6, T3!2)),
% 0.80/1.10 inference(unit_resolution,[status(thm)],[419, 408])).
% 0.80/1.10 tff(421,plain,
% 0.80/1.10 (((~((~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))),
% 0.80/1.10 inference(tautology,[status(thm)],[])).
% 0.80/1.10 tff(422,plain,
% 0.80/1.10 ((~has_immunity(X!6, T3!2)) | (hazard_of_mortality(X!6, T3!2) = very_low)),
% 0.80/1.10 inference(unit_resolution,[status(thm)],[421, 415])).
% 0.80/1.10 tff(423,plain,
% 0.80/1.10 ((~((~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)),
% 0.80/1.10 inference(tautology,[status(thm)],[])).
% 0.80/1.10 tff(424,plain,
% 0.80/1.10 ((~has_immunity(X!6, T3!2)) | (hazard_of_mortality(X!6, T3!2) = very_low)),
% 0.80/1.10 inference(unit_resolution,[status(thm)],[423, 422])).
% 0.80/1.10 tff(425,plain,
% 0.80/1.10 (hazard_of_mortality(X!6, T3!2) = very_low),
% 0.80/1.10 inference(unit_resolution,[status(thm)],[424, 420])).
% 0.80/1.10 tff(426,plain,
% 0.80/1.10 (very_low = hazard_of_mortality(X!6, T3!2)),
% 0.80/1.10 inference(symmetry,[status(thm)],[425])).
% 0.80/1.10 tff(427,plain,
% 0.80/1.10 (smaller(very_low, high) <=> smaller(hazard_of_mortality(X!6, T3!2), hazard_of_mortality(X!6, T1!4))),
% 0.80/1.10 inference(monotonicity,[status(thm)],[426, 351])).
% 0.80/1.10 tff(428,plain,
% 0.80/1.10 (smaller(hazard_of_mortality(X!6, T3!2), hazard_of_mortality(X!6, T1!4)) <=> smaller(very_low, high)),
% 0.80/1.10 inference(symmetry,[status(thm)],[427])).
% 0.80/1.10 tff(429,plain,
% 0.80/1.10 ((~smaller(hazard_of_mortality(X!6, T3!2), hazard_of_mortality(X!6, T1!4))) <=> (~smaller(very_low, high))),
% 0.80/1.10 inference(monotonicity,[status(thm)],[428])).
% 0.80/1.10 tff(430,plain,
% 0.80/1.10 (~smaller(very_low, high)),
% 0.80/1.10 inference(modus_ponens,[status(thm)],[349, 429])).
% 0.80/1.10 tff(431,plain,
% 0.80/1.10 ((~![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))) | (smaller(very_low, high) <=> greater(high, very_low))),
% 0.80/1.10 inference(quant_inst,[status(thm)],[])).
% 0.80/1.10 tff(432,plain,
% 0.80/1.10 (smaller(very_low, high) <=> greater(high, very_low)),
% 0.80/1.10 inference(unit_resolution,[status(thm)],[431, 7])).
% 0.80/1.10 tff(433,plain,
% 0.80/1.10 (greater(low, very_low) <=> greater(low, very_low)),
% 0.80/1.10 inference(rewrite,[status(thm)],[])).
% 0.80/1.10 tff(434,axiom,(greater(low, very_low)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','assumption_18c')).
% 0.80/1.10 tff(435,plain,
% 0.80/1.10 (greater(low, very_low)),
% 0.80/1.10 inference(modus_ponens,[status(thm)],[434, 433])).
% 0.80/1.10 tff(436,plain,
% 0.80/1.10 (((~![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)))),
% 0.80/1.10 inference(rewrite,[status(thm)],[])).
% 0.80/1.10 tff(437,plain,
% 0.80/1.10 ((greater(high, very_low) | (~greater(low, very_low)) | (~greater(high, low))) <=> ((~greater(low, very_low)) | greater(high, very_low) | (~greater(high, low)))),
% 0.80/1.10 inference(rewrite,[status(thm)],[])).
% 0.80/1.10 tff(438,plain,
% 0.80/1.10 (((~![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))))),
% 0.80/1.10 inference(monotonicity,[status(thm)],[437])).
% 0.80/1.10 tff(439,plain,
% 0.80/1.10 (((~![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)))),
% 0.80/1.10 inference(transitivity,[status(thm)],[438, 436])).
% 0.80/1.10 tff(440,plain,
% 0.80/1.10 ((~![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)))),
% 0.80/1.10 inference(quant_inst,[status(thm)],[])).
% 0.80/1.10 tff(441,plain,
% 0.80/1.10 ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (~greater(low, very_low)) | greater(high, very_low) | (~greater(high, low))),
% 0.80/1.10 inference(modus_ponens,[status(thm)],[440, 439])).
% 0.80/1.10 tff(442,plain,
% 0.80/1.10 (greater(high, very_low)),
% 0.80/1.10 inference(unit_resolution,[status(thm)],[441, 223, 435, 366])).
% 0.80/1.10 tff(443,plain,
% 0.80/1.10 ((~(smaller(very_low, high) <=> greater(high, very_low))) | smaller(very_low, high) | (~greater(high, very_low))),
% 0.80/1.10 inference(tautology,[status(thm)],[])).
% 0.80/1.10 tff(444,plain,
% 0.80/1.10 ((~(smaller(very_low, high) <=> greater(high, very_low))) | smaller(very_low, high)),
% 0.80/1.10 inference(unit_resolution,[status(thm)],[443, 442])).
% 0.80/1.10 tff(445,plain,
% 0.80/1.10 (smaller(very_low, high)),
% 0.80/1.10 inference(unit_resolution,[status(thm)],[444, 432])).
% 0.80/1.10 tff(446,plain,
% 0.80/1.10 ($false),
% 0.80/1.10 inference(unit_resolution,[status(thm)],[445, 430])).
% 0.80/1.10 tff(447,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,[]))).
% 0.80/1.10 tff(448,plain,
% 0.80/1.10 (~(hazard_of_mortality(X!6, T1!4) = high)),
% 0.80/1.10 inference(unit_resolution,[status(thm)],[447, 349])).
% 0.80/1.10 tff(449,assumption,(~(hazard_of_mortality(X!6, T1!4) = high)), introduced(assumption)).
% 0.80/1.10 tff(450,assumption,(~positional_advantage(X!6, T1!4)), introduced(assumption)).
% 0.80/1.10 tff(451,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)).
% 0.80/1.10 tff(452,plain,
% 0.80/1.10 (((~((~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))),
% 0.80/1.11 inference(tautology,[status(thm)],[])).
% 0.80/1.11 tff(453,plain,
% 0.80/1.11 (is_aligned(X!6, T1!4) | positional_advantage(X!6, T1!4) | (hazard_of_mortality(X!6, T1!4) = high)),
% 0.80/1.11 inference(unit_resolution,[status(thm)],[452, 451])).
% 0.80/1.11 tff(454,assumption,(~(hazard_of_mortality(X!6, T1!4) = mod2)), introduced(assumption)).
% 0.80/1.11 tff(455,plain,
% 0.80/1.11 (positional_advantage(X!6, T1!4) | (~is_aligned(X!6, T1!4)) | (hazard_of_mortality(X!6, T1!4) = mod2)),
% 0.80/1.11 inference(unit_resolution,[status(thm)],[177, 451])).
% 0.80/1.11 tff(456,plain,
% 0.80/1.11 (~is_aligned(X!6, T1!4)),
% 0.80/1.11 inference(unit_resolution,[status(thm)],[281, 455, 454, 450])).
% 0.80/1.11 tff(457,plain,
% 0.80/1.11 ((~(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)),
% 0.80/1.11 inference(tautology,[status(thm)],[])).
% 0.80/1.11 tff(458,plain,
% 0.80/1.11 ($false),
% 0.80/1.11 inference(unit_resolution,[status(thm)],[457, 456, 453, 450, 449])).
% 0.80/1.11 tff(459,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)))) | positional_advantage(X!6, T1!4) | (hazard_of_mortality(X!6, T1!4) = high) | (hazard_of_mortality(X!6, T1!4) = mod2)), inference(lemma,lemma(discharge,[]))).
% 0.80/1.11 tff(460,plain,
% 0.80/1.11 (hazard_of_mortality(X!6, T1!4) = mod2),
% 0.80/1.11 inference(unit_resolution,[status(thm)],[459, 448, 176, 280])).
% 0.80/1.11 tff(461,plain,
% 0.80/1.11 (smaller(hazard_of_mortality(X!6, T3!2), hazard_of_mortality(X!6, T1!4)) <=> smaller(low, mod2)),
% 0.80/1.11 inference(monotonicity,[status(thm)],[352, 335])).
% 0.80/1.11 tff(462,plain,
% 0.80/1.11 (smaller(low, mod2) <=> smaller(hazard_of_mortality(X!6, T3!2), hazard_of_mortality(X!6, T1!4))),
% 0.80/1.11 inference(symmetry,[status(thm)],[461])).
% 0.80/1.11 tff(463,plain,
% 0.80/1.11 ((~![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))) | (smaller(low, mod2) <=> greater(mod2, low))),
% 0.80/1.11 inference(quant_inst,[status(thm)],[])).
% 0.80/1.11 tff(464,plain,
% 0.80/1.11 (smaller(low, mod2) <=> greater(mod2, low)),
% 0.80/1.11 inference(unit_resolution,[status(thm)],[463, 7])).
% 0.80/1.11 tff(465,plain,
% 0.80/1.11 (greater(mod2, low) <=> greater(mod2, low)),
% 0.80/1.11 inference(rewrite,[status(thm)],[])).
% 0.80/1.11 tff(466,axiom,(greater(mod2, low)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','assumption_18e')).
% 0.80/1.11 tff(467,plain,
% 0.80/1.11 (greater(mod2, low)),
% 0.80/1.11 inference(modus_ponens,[status(thm)],[466, 465])).
% 0.80/1.11 tff(468,plain,
% 0.80/1.11 ((~(smaller(low, mod2) <=> greater(mod2, low))) | smaller(low, mod2) | (~greater(mod2, low))),
% 0.80/1.11 inference(tautology,[status(thm)],[])).
% 0.80/1.11 tff(469,plain,
% 0.80/1.11 ((~(smaller(low, mod2) <=> greater(mod2, low))) | smaller(low, mod2)),
% 0.80/1.11 inference(unit_resolution,[status(thm)],[468, 467])).
% 0.80/1.11 tff(470,plain,
% 0.80/1.11 (smaller(low, mod2)),
% 0.80/1.11 inference(unit_resolution,[status(thm)],[469, 464])).
% 0.80/1.11 tff(471,plain,
% 0.80/1.11 (smaller(hazard_of_mortality(X!6, T3!2), hazard_of_mortality(X!6, T1!4))),
% 0.80/1.11 inference(modus_ponens,[status(thm)],[470, 462])).
% 0.80/1.11 tff(472,plain,
% 0.80/1.11 ($false),
% 0.80/1.11 inference(unit_resolution,[status(thm)],[349, 471])).
% 0.80/1.11 tff(473,plain,((~(hazard_of_mortality(X!6, T1!4) = mod2)) | smaller(hazard_of_mortality(X!6, T3!2), hazard_of_mortality(X!6, T1!4)) | (~(hazard_of_mortality(X!6, T3!2) = low))), inference(lemma,lemma(discharge,[]))).
% 0.80/1.11 tff(474,plain,
% 0.80/1.11 (~(hazard_of_mortality(X!6, T3!2) = low)),
% 0.80/1.11 inference(unit_resolution,[status(thm)],[473, 460, 349])).
% 0.80/1.11 tff(475,assumption,(has_immunity(X!6, T3!2)), introduced(assumption)).
% 0.80/1.11 tff(476,plain,
% 0.80/1.11 (((~![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)))),
% 0.80/1.11 inference(rewrite,[status(thm)],[])).
% 0.80/1.11 tff(477,plain,
% 0.80/1.11 (((~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)))),
% 0.80/1.11 inference(rewrite,[status(thm)],[])).
% 0.80/1.11 tff(478,plain,
% 0.80/1.11 (((~![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))))),
% 0.80/1.11 inference(monotonicity,[status(thm)],[477])).
% 0.80/1.11 tff(479,plain,
% 0.80/1.11 (((~![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)))),
% 0.80/1.11 inference(transitivity,[status(thm)],[478, 476])).
% 0.80/1.11 tff(480,plain,
% 0.80/1.11 ((~![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)))),
% 0.80/1.11 inference(quant_inst,[status(thm)],[])).
% 0.80/1.11 tff(481,plain,
% 0.80/1.11 ((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | has_endowment(X!6) | (~organization(X!6)) | (~has_immunity(X!6, T3!2))),
% 0.80/1.11 inference(modus_ponens,[status(thm)],[480, 479])).
% 0.80/1.11 tff(482,plain,
% 0.80/1.11 ($false),
% 0.80/1.11 inference(unit_resolution,[status(thm)],[481, 165, 64, 152, 475])).
% 0.80/1.11 tff(483,plain,(~has_immunity(X!6, T3!2)), inference(lemma,lemma(discharge,[]))).
% 0.80/1.11 tff(484,plain,
% 0.80/1.11 (~((~((~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))))),
% 0.80/1.11 inference(unit_resolution,[status(thm)],[419, 483])).
% 0.80/1.11 tff(485,plain,
% 0.80/1.11 ((hazard_of_mortality(X!6, T3!2) = mod1) | (hazard_of_mortality(X!6, T3!2) = low)),
% 0.80/1.11 inference(unit_resolution,[status(thm)],[407, 484])).
% 0.80/1.11 tff(486,plain,
% 0.80/1.11 (hazard_of_mortality(X!6, T3!2) = mod1),
% 0.80/1.11 inference(unit_resolution,[status(thm)],[485, 474])).
% 0.80/1.11 tff(487,plain,
% 0.80/1.11 (smaller(hazard_of_mortality(X!6, T3!2), hazard_of_mortality(X!6, T1!4)) <=> smaller(mod1, mod2)),
% 0.80/1.11 inference(monotonicity,[status(thm)],[486, 460])).
% 0.80/1.11 tff(488,plain,
% 0.80/1.11 (smaller(mod1, mod2) <=> smaller(hazard_of_mortality(X!6, T3!2), hazard_of_mortality(X!6, T1!4))),
% 0.80/1.11 inference(symmetry,[status(thm)],[487])).
% 0.80/1.11 tff(489,plain,
% 0.80/1.11 ((~![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))) | (smaller(mod1, mod2) <=> greater(mod2, mod1))),
% 0.80/1.11 inference(quant_inst,[status(thm)],[])).
% 0.80/1.11 tff(490,plain,
% 0.80/1.11 (smaller(mod1, mod2) <=> greater(mod2, mod1)),
% 0.80/1.11 inference(unit_resolution,[status(thm)],[489, 7])).
% 0.80/1.11 tff(491,plain,
% 0.80/1.11 (greater(mod2, mod1) <=> greater(mod2, mod1)),
% 0.80/1.11 inference(rewrite,[status(thm)],[])).
% 0.80/1.11 tff(492,axiom,(greater(mod2, mod1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','assumption_19')).
% 0.80/1.11 tff(493,plain,
% 0.80/1.11 (greater(mod2, mod1)),
% 0.80/1.11 inference(modus_ponens,[status(thm)],[492, 491])).
% 0.80/1.11 tff(494,plain,
% 0.80/1.11 ((~(smaller(mod1, mod2) <=> greater(mod2, mod1))) | smaller(mod1, mod2) | (~greater(mod2, mod1))),
% 0.80/1.11 inference(tautology,[status(thm)],[])).
% 0.80/1.11 tff(495,plain,
% 0.80/1.11 ((~(smaller(mod1, mod2) <=> greater(mod2, mod1))) | smaller(mod1, mod2)),
% 0.80/1.11 inference(unit_resolution,[status(thm)],[494, 493])).
% 0.80/1.11 tff(496,plain,
% 0.80/1.11 (smaller(mod1, mod2)),
% 0.80/1.11 inference(unit_resolution,[status(thm)],[495, 490])).
% 0.80/1.11 tff(497,plain,
% 0.80/1.11 (smaller(hazard_of_mortality(X!6, T3!2), hazard_of_mortality(X!6, T1!4))),
% 0.80/1.11 inference(modus_ponens,[status(thm)],[496, 488])).
% 0.80/1.11 tff(498,plain,
% 0.80/1.11 ($false),
% 0.80/1.11 inference(unit_resolution,[status(thm)],[349, 497])).
% 0.80/1.11 tff(499,plain,(smaller(hazard_of_mortality(X!6, T3!2), hazard_of_mortality(X!6, T1!4))), inference(lemma,lemma(discharge,[]))).
% 0.80/1.11 tff(500,plain,
% 0.80/1.11 ((~(~((~smaller(hazard_of_mortality(X!6, T3!2), hazard_of_mortality(X!6, T1!4))) | (~smaller(hazard_of_mortality(X!6, T1!4), hazard_of_mortality(X!6, T2!3))) | (~(hazard_of_mortality(X!6, T1!4) = hazard_of_mortality(X!6, T0!5)))))) <=> ((~smaller(hazard_of_mortality(X!6, T3!2), hazard_of_mortality(X!6, T1!4))) | (~smaller(hazard_of_mortality(X!6, T1!4), hazard_of_mortality(X!6, T2!3))) | (~(hazard_of_mortality(X!6, T1!4) = hazard_of_mortality(X!6, T0!5))))),
% 0.80/1.11 inference(rewrite,[status(thm)],[])).
% 0.80/1.11 tff(501,plain,
% 0.80/1.11 ((smaller(hazard_of_mortality(X!6, T3!2), hazard_of_mortality(X!6, T1!4)) & smaller(hazard_of_mortality(X!6, T1!4), hazard_of_mortality(X!6, T2!3)) & (hazard_of_mortality(X!6, T1!4) = hazard_of_mortality(X!6, T0!5))) <=> (~((~smaller(hazard_of_mortality(X!6, T3!2), hazard_of_mortality(X!6, T1!4))) | (~smaller(hazard_of_mortality(X!6, T1!4), hazard_of_mortality(X!6, T2!3))) | (~(hazard_of_mortality(X!6, T1!4) = hazard_of_mortality(X!6, T0!5)))))),
% 0.80/1.11 inference(rewrite,[status(thm)],[])).
% 0.80/1.11 tff(502,plain,
% 0.80/1.11 ((~(smaller(hazard_of_mortality(X!6, T3!2), hazard_of_mortality(X!6, T1!4)) & smaller(hazard_of_mortality(X!6, T1!4), hazard_of_mortality(X!6, T2!3)) & (hazard_of_mortality(X!6, T1!4) = hazard_of_mortality(X!6, T0!5)))) <=> (~(~((~smaller(hazard_of_mortality(X!6, T3!2), hazard_of_mortality(X!6, T1!4))) | (~smaller(hazard_of_mortality(X!6, T1!4), hazard_of_mortality(X!6, T2!3))) | (~(hazard_of_mortality(X!6, T1!4) = hazard_of_mortality(X!6, T0!5))))))),
% 0.80/1.11 inference(monotonicity,[status(thm)],[501])).
% 0.80/1.11 tff(503,plain,
% 0.80/1.11 ((~(smaller(hazard_of_mortality(X!6, T3!2), hazard_of_mortality(X!6, T1!4)) & smaller(hazard_of_mortality(X!6, T1!4), hazard_of_mortality(X!6, T2!3)) & (hazard_of_mortality(X!6, T1!4) = hazard_of_mortality(X!6, T0!5)))) <=> ((~smaller(hazard_of_mortality(X!6, T3!2), hazard_of_mortality(X!6, T1!4))) | (~smaller(hazard_of_mortality(X!6, T1!4), hazard_of_mortality(X!6, T2!3))) | (~(hazard_of_mortality(X!6, T1!4) = hazard_of_mortality(X!6, T0!5))))),
% 0.80/1.11 inference(transitivity,[status(thm)],[502, 500])).
% 0.80/1.11 tff(504,plain,
% 0.80/1.11 (~(smaller(hazard_of_mortality(X!6, T3!2), hazard_of_mortality(X!6, T1!4)) & smaller(hazard_of_mortality(X!6, T1!4), hazard_of_mortality(X!6, T2!3)) & (hazard_of_mortality(X!6, T1!4) = hazard_of_mortality(X!6, T0!5)))),
% 0.80/1.11 inference(or_elim,[status(thm)],[48])).
% 0.80/1.11 tff(505,plain,
% 0.80/1.11 ((~smaller(hazard_of_mortality(X!6, T3!2), hazard_of_mortality(X!6, T1!4))) | (~smaller(hazard_of_mortality(X!6, T1!4), hazard_of_mortality(X!6, T2!3))) | (~(hazard_of_mortality(X!6, T1!4) = hazard_of_mortality(X!6, T0!5)))),
% 0.80/1.11 inference(modus_ponens,[status(thm)],[504, 503])).
% 0.80/1.11 tff(506,plain,
% 0.80/1.11 ((~smaller(hazard_of_mortality(X!6, T1!4), hazard_of_mortality(X!6, T2!3))) | (~(hazard_of_mortality(X!6, T1!4) = hazard_of_mortality(X!6, T0!5)))),
% 0.80/1.11 inference(unit_resolution,[status(thm)],[505, 499])).
% 0.80/1.11 tff(507,plain,
% 0.80/1.11 ($false),
% 0.80/1.11 inference(unit_resolution,[status(thm)],[506, 348, 336])).
% 0.80/1.11 tff(508,plain,((~(hazard_of_mortality(X!6, T1!4) = mod2)) | (~(hazard_of_mortality(X!6, T2!3) = high))), inference(lemma,lemma(discharge,[]))).
% 0.80/1.11 tff(509,plain,
% 0.80/1.11 (~(hazard_of_mortality(X!6, T2!3) = high)),
% 0.80/1.11 inference(unit_resolution,[status(thm)],[508, 283])).
% 0.80/1.11 tff(510,assumption,(has_immunity(X!6, T2!3)), introduced(assumption)).
% 0.80/1.11 tff(511,plain,
% 0.80/1.11 (((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | (has_endowment(X!6) | (~organization(X!6)) | (~has_immunity(X!6, T2!3)))) <=> ((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | has_endowment(X!6) | (~organization(X!6)) | (~has_immunity(X!6, T2!3)))),
% 0.80/1.11 inference(rewrite,[status(thm)],[])).
% 0.80/1.11 tff(512,plain,
% 0.80/1.11 (((~has_immunity(X!6, T2!3)) | has_endowment(X!6) | (~organization(X!6))) <=> (has_endowment(X!6) | (~organization(X!6)) | (~has_immunity(X!6, T2!3)))),
% 0.80/1.11 inference(rewrite,[status(thm)],[])).
% 0.80/1.11 tff(513,plain,
% 0.80/1.11 (((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | ((~has_immunity(X!6, T2!3)) | 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, T2!3))))),
% 0.80/1.11 inference(monotonicity,[status(thm)],[512])).
% 0.80/1.11 tff(514,plain,
% 0.80/1.11 (((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | ((~has_immunity(X!6, T2!3)) | 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, T2!3)))),
% 0.80/1.11 inference(transitivity,[status(thm)],[513, 511])).
% 0.80/1.11 tff(515,plain,
% 0.80/1.11 ((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | ((~has_immunity(X!6, T2!3)) | has_endowment(X!6) | (~organization(X!6)))),
% 0.80/1.11 inference(quant_inst,[status(thm)],[])).
% 0.80/1.11 tff(516,plain,
% 0.80/1.11 ((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | has_endowment(X!6) | (~organization(X!6)) | (~has_immunity(X!6, T2!3))),
% 0.80/1.11 inference(modus_ponens,[status(thm)],[515, 514])).
% 0.80/1.11 tff(517,plain,
% 0.80/1.11 ($false),
% 0.80/1.11 inference(unit_resolution,[status(thm)],[516, 165, 64, 152, 510])).
% 0.80/1.11 tff(518,plain,(~has_immunity(X!6, T2!3)), inference(lemma,lemma(discharge,[]))).
% 0.80/1.11 tff(519,plain,
% 0.80/1.11 (((~![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))))))))))),
% 0.80/1.11 inference(rewrite,[status(thm)],[])).
% 0.80/1.11 tff(520,plain,
% 0.80/1.11 (((~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))))))))))),
% 0.80/1.12 inference(rewrite,[status(thm)],[])).
% 0.80/1.12 tff(521,plain,
% 0.80/1.12 (((~![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)))))))))))),
% 0.80/1.12 inference(monotonicity,[status(thm)],[520])).
% 0.80/1.12 tff(522,plain,
% 0.80/1.12 (((~![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))))))))))),
% 0.80/1.12 inference(transitivity,[status(thm)],[521, 519])).
% 0.80/1.12 tff(523,plain,
% 0.80/1.12 ((~![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))))))))))),
% 0.80/1.12 inference(quant_inst,[status(thm)],[])).
% 0.80/1.12 tff(524,plain,
% 0.80/1.12 ((~![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)))))))))),
% 0.80/1.12 inference(modus_ponens,[status(thm)],[523, 522])).
% 0.80/1.12 tff(525,plain,
% 0.80/1.12 (~((~((~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))))))))),
% 0.80/1.12 inference(unit_resolution,[status(thm)],[524, 141, 64])).
% 0.80/1.12 tff(526,plain,
% 0.80/1.12 (((~((~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))))))),
% 0.80/1.12 inference(tautology,[status(thm)],[])).
% 0.80/1.12 tff(527,plain,
% 0.80/1.12 (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)))))),
% 0.80/1.12 inference(unit_resolution,[status(thm)],[526, 525])).
% 0.80/1.12 tff(528,plain,
% 0.80/1.12 ((~(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)))))),
% 0.80/1.12 inference(tautology,[status(thm)],[])).
% 0.80/1.12 tff(529,plain,
% 0.80/1.12 (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)))))),
% 0.80/1.12 inference(unit_resolution,[status(thm)],[528, 527])).
% 0.80/1.12 tff(530,plain,
% 0.80/1.12 (~((~((~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))))),
% 0.80/1.12 inference(unit_resolution,[status(thm)],[529, 518])).
% 0.80/1.12 tff(531,plain,
% 0.80/1.12 (((~((~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)))) | (is_aligned(X!6, T2!3) | positional_advantage(X!6, T2!3) | (hazard_of_mortality(X!6, T2!3) = high))),
% 0.80/1.12 inference(tautology,[status(thm)],[])).
% 0.80/1.12 tff(532,plain,
% 0.80/1.12 (is_aligned(X!6, T2!3) | positional_advantage(X!6, T2!3) | (hazard_of_mortality(X!6, T2!3) = high)),
% 0.80/1.12 inference(unit_resolution,[status(thm)],[531, 530])).
% 0.80/1.12 tff(533,plain,
% 0.80/1.12 ((~![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)))))),
% 0.80/1.12 inference(quant_inst,[status(thm)],[])).
% 0.80/1.12 tff(534,plain,
% 0.80/1.12 (~((~((~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))))),
% 0.80/1.12 inference(unit_resolution,[status(thm)],[533, 273])).
% 0.80/1.12 tff(535,plain,
% 0.80/1.12 (((~((~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)))) | ((~positional_advantage(X!6, T2!3)) | (~smaller_or_equal(age(X!6, T2!3), tau)))),
% 0.80/1.12 inference(tautology,[status(thm)],[])).
% 0.80/1.12 tff(536,plain,
% 0.80/1.12 ((~positional_advantage(X!6, T2!3)) | (~smaller_or_equal(age(X!6, T2!3), tau))),
% 0.80/1.12 inference(unit_resolution,[status(thm)],[535, 534])).
% 0.80/1.12 tff(537,plain,
% 0.80/1.12 (smaller_or_equal(age(X!6, T2!3), tau)),
% 0.80/1.12 inference(and_elim,[status(thm)],[49])).
% 0.80/1.12 tff(538,plain,
% 0.80/1.12 ((~((~positional_advantage(X!6, T2!3)) | (~smaller_or_equal(age(X!6, T2!3), tau)))) | (~positional_advantage(X!6, T2!3)) | (~smaller_or_equal(age(X!6, T2!3), tau))),
% 0.80/1.12 inference(tautology,[status(thm)],[])).
% 0.80/1.12 tff(539,plain,
% 0.80/1.12 ((~((~positional_advantage(X!6, T2!3)) | (~smaller_or_equal(age(X!6, T2!3), tau)))) | (~positional_advantage(X!6, T2!3))),
% 0.80/1.12 inference(unit_resolution,[status(thm)],[538, 537])).
% 0.80/1.12 tff(540,plain,
% 0.80/1.12 (~positional_advantage(X!6, T2!3)),
% 0.80/1.12 inference(unit_resolution,[status(thm)],[539, 536])).
% 0.80/1.12 tff(541,plain,
% 0.80/1.12 ((~(is_aligned(X!6, T2!3) | positional_advantage(X!6, T2!3) | (hazard_of_mortality(X!6, T2!3) = high))) | is_aligned(X!6, T2!3) | positional_advantage(X!6, T2!3) | (hazard_of_mortality(X!6, T2!3) = high)),
% 0.80/1.12 inference(tautology,[status(thm)],[])).
% 0.80/1.12 tff(542,plain,
% 0.80/1.12 ((~(is_aligned(X!6, T2!3) | positional_advantage(X!6, T2!3) | (hazard_of_mortality(X!6, T2!3) = high))) | is_aligned(X!6, T2!3) | (hazard_of_mortality(X!6, T2!3) = high)),
% 0.80/1.12 inference(unit_resolution,[status(thm)],[541, 540])).
% 0.80/1.12 tff(543,plain,
% 0.80/1.12 (is_aligned(X!6, T2!3) | (hazard_of_mortality(X!6, T2!3) = high)),
% 0.80/1.13 inference(unit_resolution,[status(thm)],[542, 532])).
% 0.80/1.13 tff(544,plain,
% 0.80/1.13 (is_aligned(X!6, T2!3)),
% 0.80/1.13 inference(unit_resolution,[status(thm)],[543, 509])).
% 0.80/1.13 tff(545,plain,
% 0.80/1.13 ((is_aligned(X!6, T0!5) <=> is_aligned(X!6, T2!3)) | (~is_aligned(X!6, T0!5)) | (~is_aligned(X!6, T2!3))),
% 0.80/1.13 inference(tautology,[status(thm)],[])).
% 0.80/1.13 tff(546,plain,
% 0.80/1.13 (is_aligned(X!6, T0!5) <=> is_aligned(X!6, T2!3)),
% 0.80/1.13 inference(unit_resolution,[status(thm)],[545, 125, 544])).
% 0.80/1.13 tff(547,plain,
% 0.80/1.13 (((~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)))),
% 0.80/1.13 inference(tautology,[status(thm)],[])).
% 0.80/1.13 tff(548,plain,
% 0.80/1.13 ((~organization(X!6)) | (is_aligned(X!6, T0!5) <=> is_aligned(X!6, T2!3))),
% 0.80/1.13 inference(unit_resolution,[status(thm)],[547, 546])).
% 0.80/1.13 tff(549,plain,
% 0.80/1.13 (((~![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)))),
% 0.80/1.13 inference(rewrite,[status(thm)],[])).
% 0.80/1.13 tff(550,plain,
% 0.80/1.13 (((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)))),
% 0.80/1.13 inference(rewrite,[status(thm)],[])).
% 0.80/1.13 tff(551,plain,
% 0.80/1.13 (((~![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))))),
% 0.80/1.13 inference(monotonicity,[status(thm)],[550])).
% 0.80/1.13 tff(552,plain,
% 0.80/1.13 (((~![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)))),
% 0.80/1.13 inference(transitivity,[status(thm)],[551, 549])).
% 0.80/1.13 tff(553,plain,
% 0.80/1.13 ((~![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)))),
% 0.80/1.13 inference(quant_inst,[status(thm)],[])).
% 0.80/1.13 tff(554,plain,
% 0.80/1.13 ((~![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))),
% 0.80/1.13 inference(modus_ponens,[status(thm)],[553, 552])).
% 0.80/1.13 tff(555,plain,
% 0.80/1.13 (greater(age(X!6, T2!3), sigma) <=> dissimilar(X!6, T0!5, T2!3)),
% 0.80/1.13 inference(unit_resolution,[status(thm)],[554, 77, 64, 63])).
% 0.80/1.13 tff(556,plain,
% 0.80/1.13 (greater(age(X!6, T2!3), sigma)),
% 0.80/1.13 inference(and_elim,[status(thm)],[49])).
% 0.80/1.13 tff(557,plain,
% 0.80/1.13 ((~(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)),
% 0.80/1.13 inference(tautology,[status(thm)],[])).
% 0.80/1.13 tff(558,plain,
% 0.80/1.13 ((~(greater(age(X!6, T2!3), sigma) <=> dissimilar(X!6, T0!5, T2!3))) | dissimilar(X!6, T0!5, T2!3)),
% 0.80/1.13 inference(unit_resolution,[status(thm)],[557, 556])).
% 0.80/1.13 tff(559,plain,
% 0.80/1.13 (dissimilar(X!6, T0!5, T2!3)),
% 0.80/1.13 inference(unit_resolution,[status(thm)],[558, 555])).
% 0.80/1.13 tff(560,plain,
% 0.80/1.13 ((((~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))),
% 0.80/1.13 inference(tautology,[status(thm)],[])).
% 0.80/1.13 tff(561,plain,
% 0.80/1.13 (((~organization(X!6)) | (is_aligned(X!6, T0!5) <=> is_aligned(X!6, T2!3))) <=> dissimilar(X!6, T0!5, T2!3)),
% 0.80/1.13 inference(unit_resolution,[status(thm)],[560, 559, 548])).
% 0.80/1.13 tff(562,plain,
% 0.80/1.13 ((~![X: $i, T0: $i, T: $i] : (~(((~organization(X)) | (is_aligned(X, T0) <=> is_aligned(X, T))) <=> dissimilar(X, T0, T)))) | (~(((~organization(X!6)) | (is_aligned(X!6, T0!5) <=> is_aligned(X!6, T2!3))) <=> dissimilar(X!6, T0!5, T2!3)))),
% 0.80/1.13 inference(quant_inst,[status(thm)],[])).
% 0.80/1.13 tff(563,plain,
% 0.80/1.13 ($false),
% 0.80/1.13 inference(unit_resolution,[status(thm)],[562, 97, 561])).
% 0.90/1.13 % SZS output end Proof
% 0.90/1.14 % E exiting
%------------------------------------------------------------------------------