%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : MGT061+1 : TPTP v9.3.0. Released v2.4.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : run_E %s %d THM
% Computer : n015.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 06:24:09 AM UTC 2026
% Result : Theorem 0.22s 0.47s
% Output : Proof 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT061+1 : TPTP v9.3.0. Released v2.4.0.
% 0.00/0.03 % Command : run_E %s %d THM
% 0.10/0.35 % Computer : n015.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Mon Sep 7 13:39:04 UTC 2026
% 0.13/0.36 % CPUTime :
% 0.22/0.47 % SZS status Theorem
% 0.22/0.47 % SZS output start Proof
% 0.22/0.47 tff(hazard_of_mortality_type, type, (
% 0.22/0.47 hazard_of_mortality: ( $i * $i ) > $i)).
% 0.22/0.47 tff(tptp_fun_T0_3_type, type, (
% 0.22/0.47 tptp_fun_T0_3: $i)).
% 0.22/0.47 tff(tptp_fun_X_4_type, type, (
% 0.22/0.47 tptp_fun_X_4: $i)).
% 0.22/0.47 tff(tptp_fun_T1_2_type, type, (
% 0.22/0.47 tptp_fun_T1_2: $i)).
% 0.22/0.47 tff(low_type, type, (
% 0.22/0.47 low: $i)).
% 0.22/0.47 tff(is_aligned_type, type, (
% 0.22/0.47 is_aligned: ( $i * $i ) > $o)).
% 0.22/0.47 tff(positional_advantage_type, type, (
% 0.22/0.47 positional_advantage: ( $i * $i ) > $o)).
% 0.22/0.47 tff(high_type, type, (
% 0.22/0.47 high: $i)).
% 0.22/0.47 tff(mod2_type, type, (
% 0.22/0.47 mod2: $i)).
% 0.22/0.47 tff(mod1_type, type, (
% 0.22/0.47 mod1: $i)).
% 0.22/0.47 tff(has_immunity_type, type, (
% 0.22/0.47 has_immunity: ( $i * $i ) > $o)).
% 0.22/0.47 tff(has_endowment_type, type, (
% 0.22/0.47 has_endowment: $i > $o)).
% 0.22/0.47 tff(greater_type, type, (
% 0.22/0.47 greater: ( $i * $i ) > $o)).
% 0.22/0.47 tff(sigma_type, type, (
% 0.22/0.47 sigma: $i)).
% 0.22/0.47 tff(age_type, type, (
% 0.22/0.47 age: ( $i * $i ) > $i)).
% 0.22/0.47 tff(tptp_fun_T2_1_type, type, (
% 0.22/0.47 tptp_fun_T2_1: $i)).
% 0.22/0.47 tff(smaller_or_equal_type, type, (
% 0.22/0.47 smaller_or_equal: ( $i * $i ) > $o)).
% 0.22/0.47 tff(zero_type, type, (
% 0.22/0.47 zero: $i)).
% 0.22/0.47 tff(fragile_position_type, type, (
% 0.22/0.47 fragile_position: $i > $o)).
% 0.22/0.47 tff(organization_type, type, (
% 0.22/0.47 organization: $i > $o)).
% 0.22/0.47 tff(very_low_type, type, (
% 0.22/0.47 very_low: $i)).
% 0.22/0.47 tff(tptp_fun_T_0_type, type, (
% 0.22/0.47 tptp_fun_T_0: $i > $i)).
% 0.22/0.47 tff(smaller_type, type, (
% 0.22/0.47 smaller: ( $i * $i ) > $o)).
% 0.22/0.47 tff(dissimilar_type, type, (
% 0.22/0.47 dissimilar: ( $i * $i * $i ) > $o)).
% 0.22/0.47 tff(1,assumption,(has_immunity(X!4, T0!3)), introduced(assumption)).
% 0.22/0.47 tff(2,plain,
% 0.22/0.47 ((~![X: $i, T0: $i, T1: $i, T2: $i] : ((~(organization(X) & fragile_position(X) & (~has_endowment(X)) & (age(X, T0) = zero) & greater(sigma, zero) & smaller_or_equal(age(X, T1), sigma) & greater(age(X, T2), sigma))) | (greater(hazard_of_mortality(X, T2), hazard_of_mortality(X, T1)) & (hazard_of_mortality(X, T1) = hazard_of_mortality(X, T0))))) <=> (~![X: $i, T0: $i, T1: $i, T2: $i] : ((~(organization(X) & fragile_position(X) & (~has_endowment(X)) & (age(X, T0) = zero) & greater(sigma, zero) & smaller_or_equal(age(X, T1), sigma) & greater(age(X, T2), sigma))) | (greater(hazard_of_mortality(X, T2), hazard_of_mortality(X, T1)) & (hazard_of_mortality(X, T1) = hazard_of_mortality(X, T0)))))),
% 0.22/0.47 inference(rewrite,[status(thm)],[])).
% 0.22/0.47 tff(3,plain,
% 0.22/0.47 ((~![X: $i, T0: $i, T1: $i, T2: $i] : (((((((organization(X) & fragile_position(X)) & (~has_endowment(X))) & (age(X, T0) = zero)) & greater(sigma, zero)) & smaller_or_equal(age(X, T1), sigma)) & greater(age(X, T2), sigma)) => (greater(hazard_of_mortality(X, T2), hazard_of_mortality(X, T1)) & (hazard_of_mortality(X, T1) = hazard_of_mortality(X, T0))))) <=> (~![X: $i, T0: $i, T1: $i, T2: $i] : ((~(organization(X) & fragile_position(X) & (~has_endowment(X)) & (age(X, T0) = zero) & greater(sigma, zero) & smaller_or_equal(age(X, T1), sigma) & greater(age(X, T2), sigma))) | (greater(hazard_of_mortality(X, T2), hazard_of_mortality(X, T1)) & (hazard_of_mortality(X, T1) = hazard_of_mortality(X, T0)))))),
% 0.22/0.47 inference(rewrite,[status(thm)],[])).
% 0.22/0.47 tff(4,axiom,(~![X: $i, T0: $i, T1: $i, T2: $i] : (((((((organization(X) & fragile_position(X)) & (~has_endowment(X))) & (age(X, T0) = zero)) & greater(sigma, zero)) & smaller_or_equal(age(X, T1), sigma)) & greater(age(X, T2), sigma)) => (greater(hazard_of_mortality(X, T2), hazard_of_mortality(X, T1)) & (hazard_of_mortality(X, T1) = hazard_of_mortality(X, T0))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','theorem_7')).
% 0.22/0.47 tff(5,plain,
% 0.22/0.47 (~![X: $i, T0: $i, T1: $i, T2: $i] : ((~(organization(X) & fragile_position(X) & (~has_endowment(X)) & (age(X, T0) = zero) & greater(sigma, zero) & smaller_or_equal(age(X, T1), sigma) & greater(age(X, T2), sigma))) | (greater(hazard_of_mortality(X, T2), hazard_of_mortality(X, T1)) & (hazard_of_mortality(X, T1) = hazard_of_mortality(X, T0))))),
% 0.22/0.47 inference(modus_ponens,[status(thm)],[4, 3])).
% 0.22/0.47 tff(6,plain,
% 0.22/0.47 (~![X: $i, T0: $i, T1: $i, T2: $i] : ((~(organization(X) & fragile_position(X) & (~has_endowment(X)) & (age(X, T0) = zero) & greater(sigma, zero) & smaller_or_equal(age(X, T1), sigma) & greater(age(X, T2), sigma))) | (greater(hazard_of_mortality(X, T2), hazard_of_mortality(X, T1)) & (hazard_of_mortality(X, T1) = hazard_of_mortality(X, T0))))),
% 0.22/0.47 inference(modus_ponens,[status(thm)],[5, 2])).
% 0.22/0.47 tff(7,plain,
% 0.22/0.47 (~![X: $i, T0: $i, T1: $i, T2: $i] : ((~(organization(X) & fragile_position(X) & (~has_endowment(X)) & (age(X, T0) = zero) & greater(sigma, zero) & smaller_or_equal(age(X, T1), sigma) & greater(age(X, T2), sigma))) | (greater(hazard_of_mortality(X, T2), hazard_of_mortality(X, T1)) & (hazard_of_mortality(X, T1) = hazard_of_mortality(X, T0))))),
% 0.22/0.47 inference(modus_ponens,[status(thm)],[6, 2])).
% 0.22/0.47 tff(8,plain,
% 0.22/0.47 (~![X: $i, T0: $i, T1: $i, T2: $i] : ((~(organization(X) & fragile_position(X) & (~has_endowment(X)) & (age(X, T0) = zero) & greater(sigma, zero) & smaller_or_equal(age(X, T1), sigma) & greater(age(X, T2), sigma))) | (greater(hazard_of_mortality(X, T2), hazard_of_mortality(X, T1)) & (hazard_of_mortality(X, T1) = hazard_of_mortality(X, T0))))),
% 0.22/0.47 inference(modus_ponens,[status(thm)],[7, 2])).
% 0.22/0.47 tff(9,plain,(
% 0.22/0.47 ~((~(organization(X!4) & fragile_position(X!4) & (~has_endowment(X!4)) & (age(X!4, T0!3) = zero) & greater(sigma, zero) & smaller_or_equal(age(X!4, T1!2), sigma) & greater(age(X!4, T2!1), sigma))) | (greater(hazard_of_mortality(X!4, T2!1), hazard_of_mortality(X!4, T1!2)) & (hazard_of_mortality(X!4, T1!2) = hazard_of_mortality(X!4, T0!3))))),
% 0.22/0.47 inference(skolemize,[status(sab)],[8])).
% 0.22/0.47 tff(10,plain,
% 0.22/0.47 (organization(X!4) & fragile_position(X!4) & (~has_endowment(X!4)) & (age(X!4, T0!3) = zero) & greater(sigma, zero) & smaller_or_equal(age(X!4, T1!2), sigma) & greater(age(X!4, T2!1), sigma)),
% 0.22/0.47 inference(or_elim,[status(thm)],[9])).
% 0.22/0.47 tff(11,plain,
% 0.22/0.47 (~has_endowment(X!4)),
% 0.22/0.47 inference(and_elim,[status(thm)],[10])).
% 0.22/0.47 tff(12,plain,
% 0.22/0.47 (organization(X!4)),
% 0.22/0.47 inference(and_elim,[status(thm)],[10])).
% 0.22/0.47 tff(13,plain,
% 0.22/0.47 (^[X: $i, T: $i] : refl(((~has_immunity(X, T)) | has_endowment(X) | (~organization(X))) <=> ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X))))),
% 0.22/0.47 inference(bind,[status(th)],[])).
% 0.22/0.47 tff(14,plain,
% 0.22/0.47 (![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X))) <=> ![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))),
% 0.22/0.47 inference(quant_intro,[status(thm)],[13])).
% 0.22/0.47 tff(15,plain,
% 0.22/0.47 (^[X: $i, T: $i] : trans(monotonicity(trans(monotonicity(rewrite((organization(X) & (~has_endowment(X))) <=> (~(has_endowment(X) | (~organization(X))))), ((~(organization(X) & (~has_endowment(X)))) <=> (~(~(has_endowment(X) | (~organization(X))))))), rewrite((~(~(has_endowment(X) | (~organization(X))))) <=> (has_endowment(X) | (~organization(X)))), ((~(organization(X) & (~has_endowment(X)))) <=> (has_endowment(X) | (~organization(X))))), (((~has_immunity(X, T)) | (~(organization(X) & (~has_endowment(X))))) <=> ((~has_immunity(X, T)) | (has_endowment(X) | (~organization(X)))))), rewrite(((~has_immunity(X, T)) | (has_endowment(X) | (~organization(X)))) <=> ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))), (((~has_immunity(X, T)) | (~(organization(X) & (~has_endowment(X))))) <=> ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))))),
% 0.22/0.47 inference(bind,[status(th)],[])).
% 0.22/0.47 tff(16,plain,
% 0.22/0.47 (![X: $i, T: $i] : ((~has_immunity(X, T)) | (~(organization(X) & (~has_endowment(X))))) <=> ![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))),
% 0.22/0.47 inference(quant_intro,[status(thm)],[15])).
% 0.22/0.47 tff(17,plain,
% 0.22/0.47 (![X: $i, T: $i] : ((~has_immunity(X, T)) | (~(organization(X) & (~has_endowment(X))))) <=> ![X: $i, T: $i] : ((~has_immunity(X, T)) | (~(organization(X) & (~has_endowment(X)))))),
% 0.22/0.47 inference(rewrite,[status(thm)],[])).
% 0.22/0.47 tff(18,plain,
% 0.22/0.47 (^[X: $i, T: $i] : rewrite(((organization(X) & (~has_endowment(X))) => (~has_immunity(X, T))) <=> ((~has_immunity(X, T)) | (~(organization(X) & (~has_endowment(X))))))),
% 0.22/0.47 inference(bind,[status(th)],[])).
% 0.22/0.47 tff(19,plain,
% 0.22/0.47 (![X: $i, T: $i] : ((organization(X) & (~has_endowment(X))) => (~has_immunity(X, T))) <=> ![X: $i, T: $i] : ((~has_immunity(X, T)) | (~(organization(X) & (~has_endowment(X)))))),
% 0.22/0.47 inference(quant_intro,[status(thm)],[18])).
% 0.22/0.47 tff(20,axiom,(![X: $i, T: $i] : ((organization(X) & (~has_endowment(X))) => (~has_immunity(X, T)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','assumption_1')).
% 0.22/0.47 tff(21,plain,
% 0.22/0.47 (![X: $i, T: $i] : ((~has_immunity(X, T)) | (~(organization(X) & (~has_endowment(X)))))),
% 0.22/0.47 inference(modus_ponens,[status(thm)],[20, 19])).
% 0.22/0.47 tff(22,plain,
% 0.22/0.47 (![X: $i, T: $i] : ((~has_immunity(X, T)) | (~(organization(X) & (~has_endowment(X)))))),
% 0.22/0.47 inference(modus_ponens,[status(thm)],[21, 17])).
% 0.22/0.47 tff(23,plain,(
% 0.22/0.47 ![X: $i, T: $i] : ((~has_immunity(X, T)) | (~(organization(X) & (~has_endowment(X)))))),
% 0.22/0.47 inference(skolemize,[status(sab)],[22])).
% 0.22/0.47 tff(24,plain,
% 0.22/0.47 (![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))),
% 0.22/0.47 inference(modus_ponens,[status(thm)],[23, 16])).
% 0.22/0.47 tff(25,plain,
% 0.22/0.47 (![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))),
% 0.22/0.47 inference(modus_ponens,[status(thm)],[24, 14])).
% 0.22/0.47 tff(26,plain,
% 0.22/0.47 (((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | (has_endowment(X!4) | (~organization(X!4)) | (~has_immunity(X!4, T0!3)))) <=> ((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | has_endowment(X!4) | (~organization(X!4)) | (~has_immunity(X!4, T0!3)))),
% 0.22/0.47 inference(rewrite,[status(thm)],[])).
% 0.22/0.47 tff(27,plain,
% 0.22/0.47 (((~has_immunity(X!4, T0!3)) | has_endowment(X!4) | (~organization(X!4))) <=> (has_endowment(X!4) | (~organization(X!4)) | (~has_immunity(X!4, T0!3)))),
% 0.22/0.47 inference(rewrite,[status(thm)],[])).
% 0.22/0.47 tff(28,plain,
% 0.22/0.47 (((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | ((~has_immunity(X!4, T0!3)) | has_endowment(X!4) | (~organization(X!4)))) <=> ((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | (has_endowment(X!4) | (~organization(X!4)) | (~has_immunity(X!4, T0!3))))),
% 0.22/0.47 inference(monotonicity,[status(thm)],[27])).
% 0.22/0.47 tff(29,plain,
% 0.22/0.47 (((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | ((~has_immunity(X!4, T0!3)) | has_endowment(X!4) | (~organization(X!4)))) <=> ((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | has_endowment(X!4) | (~organization(X!4)) | (~has_immunity(X!4, T0!3)))),
% 0.22/0.47 inference(transitivity,[status(thm)],[28, 26])).
% 0.22/0.47 tff(30,plain,
% 0.22/0.47 ((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | ((~has_immunity(X!4, T0!3)) | has_endowment(X!4) | (~organization(X!4)))),
% 0.22/0.47 inference(quant_inst,[status(thm)],[])).
% 0.22/0.47 tff(31,plain,
% 0.22/0.47 ((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | has_endowment(X!4) | (~organization(X!4)) | (~has_immunity(X!4, T0!3))),
% 0.22/0.47 inference(modus_ponens,[status(thm)],[30, 29])).
% 0.22/0.47 tff(32,plain,
% 0.22/0.47 ($false),
% 0.22/0.47 inference(unit_resolution,[status(thm)],[31, 25, 12, 11, 1])).
% 0.22/0.47 tff(33,plain,(~has_immunity(X!4, T0!3)), inference(lemma,lemma(discharge,[]))).
% 0.22/0.47 tff(34,plain,
% 0.22/0.47 (^[X: $i, T: $i] : refl(((~organization(X)) | (~((~((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low))) | (~(has_immunity(X, T) | (~((~((~positional_advantage(X, T)) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = low))) | (~((~positional_advantage(X, T)) | is_aligned(X, T) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(positional_advantage(X, T) | is_aligned(X, T) | (hazard_of_mortality(X, T) = high)))))))))) <=> ((~organization(X)) | (~((~((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low))) | (~(has_immunity(X, T) | (~((~((~positional_advantage(X, T)) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = low))) | (~((~positional_advantage(X, T)) | is_aligned(X, T) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(positional_advantage(X, T) | is_aligned(X, T) | (hazard_of_mortality(X, T) = high)))))))))))),
% 0.22/0.47 inference(bind,[status(th)],[])).
% 0.22/0.47 tff(35,plain,
% 0.22/0.47 (![X: $i, T: $i] : ((~organization(X)) | (~((~((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low))) | (~(has_immunity(X, T) | (~((~((~positional_advantage(X, T)) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = low))) | (~((~positional_advantage(X, T)) | is_aligned(X, T) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(positional_advantage(X, T) | is_aligned(X, T) | (hazard_of_mortality(X, T) = high)))))))))) <=> ![X: $i, T: $i] : ((~organization(X)) | (~((~((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low))) | (~(has_immunity(X, T) | (~((~((~positional_advantage(X, T)) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = low))) | (~((~positional_advantage(X, T)) | is_aligned(X, T) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(positional_advantage(X, T) | is_aligned(X, T) | (hazard_of_mortality(X, T) = high))))))))))),
% 0.22/0.47 inference(quant_intro,[status(thm)],[34])).
% 0.22/0.47 tff(36,plain,
% 0.22/0.47 (^[X: $i, T: $i] : rewrite(((~organization(X)) | (((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low)) & (has_immunity(X, T) | (((~(is_aligned(X, T) & positional_advantage(X, T))) | (hazard_of_mortality(X, T) = low)) & ((~((~is_aligned(X, T)) & positional_advantage(X, T))) | (hazard_of_mortality(X, T) = mod1)) & ((~(is_aligned(X, T) & (~positional_advantage(X, T)))) | (hazard_of_mortality(X, T) = mod2)) & ((~((~is_aligned(X, T)) & (~positional_advantage(X, T)))) | (hazard_of_mortality(X, T) = high)))))) <=> ((~organization(X)) | (~((~((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low))) | (~(has_immunity(X, T) | (~((~((~positional_advantage(X, T)) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = low))) | (~((~positional_advantage(X, T)) | is_aligned(X, T) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(positional_advantage(X, T) | is_aligned(X, T) | (hazard_of_mortality(X, T) = high)))))))))))),
% 0.22/0.47 inference(bind,[status(th)],[])).
% 0.22/0.47 tff(37,plain,
% 0.22/0.47 (![X: $i, T: $i] : ((~organization(X)) | (((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low)) & (has_immunity(X, T) | (((~(is_aligned(X, T) & positional_advantage(X, T))) | (hazard_of_mortality(X, T) = low)) & ((~((~is_aligned(X, T)) & positional_advantage(X, T))) | (hazard_of_mortality(X, T) = mod1)) & ((~(is_aligned(X, T) & (~positional_advantage(X, T)))) | (hazard_of_mortality(X, T) = mod2)) & ((~((~is_aligned(X, T)) & (~positional_advantage(X, T)))) | (hazard_of_mortality(X, T) = high)))))) <=> ![X: $i, T: $i] : ((~organization(X)) | (~((~((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low))) | (~(has_immunity(X, T) | (~((~((~positional_advantage(X, T)) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = low))) | (~((~positional_advantage(X, T)) | is_aligned(X, T) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(positional_advantage(X, T) | is_aligned(X, T) | (hazard_of_mortality(X, T) = high))))))))))),
% 0.22/0.47 inference(quant_intro,[status(thm)],[36])).
% 0.22/0.47 tff(38,plain,
% 0.22/0.47 (![X: $i, T: $i] : ((~organization(X)) | (((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low)) & (has_immunity(X, T) | (((~(is_aligned(X, T) & positional_advantage(X, T))) | (hazard_of_mortality(X, T) = low)) & ((~((~is_aligned(X, T)) & positional_advantage(X, T))) | (hazard_of_mortality(X, T) = mod1)) & ((~(is_aligned(X, T) & (~positional_advantage(X, T)))) | (hazard_of_mortality(X, T) = mod2)) & ((~((~is_aligned(X, T)) & (~positional_advantage(X, T)))) | (hazard_of_mortality(X, T) = high)))))) <=> ![X: $i, T: $i] : ((~organization(X)) | (((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low)) & (has_immunity(X, T) | (((~(is_aligned(X, T) & positional_advantage(X, T))) | (hazard_of_mortality(X, T) = low)) & ((~((~is_aligned(X, T)) & positional_advantage(X, T))) | (hazard_of_mortality(X, T) = mod1)) & ((~(is_aligned(X, T) & (~positional_advantage(X, T)))) | (hazard_of_mortality(X, T) = mod2)) & ((~((~is_aligned(X, T)) & (~positional_advantage(X, T)))) | (hazard_of_mortality(X, T) = high))))))),
% 0.22/0.47 inference(rewrite,[status(thm)],[])).
% 0.22/0.47 tff(39,plain,
% 0.22/0.47 (^[X: $i, T: $i] : trans(monotonicity(rewrite(((has_immunity(X, T) => (hazard_of_mortality(X, T) = very_low)) & ((~has_immunity(X, T)) => (((((is_aligned(X, T) & positional_advantage(X, T)) => (hazard_of_mortality(X, T) = low)) & (((~is_aligned(X, T)) & positional_advantage(X, T)) => (hazard_of_mortality(X, T) = mod1))) & ((is_aligned(X, T) & (~positional_advantage(X, T))) => (hazard_of_mortality(X, T) = mod2))) & (((~is_aligned(X, T)) & (~positional_advantage(X, T))) => (hazard_of_mortality(X, T) = high))))) <=> (((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low)) & (has_immunity(X, T) | (((~(is_aligned(X, T) & positional_advantage(X, T))) | (hazard_of_mortality(X, T) = low)) & ((~((~is_aligned(X, T)) & positional_advantage(X, T))) | (hazard_of_mortality(X, T) = mod1)) & ((~(is_aligned(X, T) & (~positional_advantage(X, T)))) | (hazard_of_mortality(X, T) = mod2)) & ((~((~is_aligned(X, T)) & (~positional_advantage(X, T)))) | (hazard_of_mortality(X, T) = high)))))), ((organization(X) => ((has_immunity(X, T) => (hazard_of_mortality(X, T) = very_low)) & ((~has_immunity(X, T)) => (((((is_aligned(X, T) & positional_advantage(X, T)) => (hazard_of_mortality(X, T) = low)) & (((~is_aligned(X, T)) & positional_advantage(X, T)) => (hazard_of_mortality(X, T) = mod1))) & ((is_aligned(X, T) & (~positional_advantage(X, T))) => (hazard_of_mortality(X, T) = mod2))) & (((~is_aligned(X, T)) & (~positional_advantage(X, T))) => (hazard_of_mortality(X, T) = high)))))) <=> (organization(X) => (((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low)) & (has_immunity(X, T) | (((~(is_aligned(X, T) & positional_advantage(X, T))) | (hazard_of_mortality(X, T) = low)) & ((~((~is_aligned(X, T)) & positional_advantage(X, T))) | (hazard_of_mortality(X, T) = mod1)) & ((~(is_aligned(X, T) & (~positional_advantage(X, T)))) | (hazard_of_mortality(X, T) = mod2)) & ((~((~is_aligned(X, T)) & (~positional_advantage(X, T)))) | (hazard_of_mortality(X, T) = high)))))))), rewrite((organization(X) => (((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low)) & (has_immunity(X, T) | (((~(is_aligned(X, T) & positional_advantage(X, T))) | (hazard_of_mortality(X, T) = low)) & ((~((~is_aligned(X, T)) & positional_advantage(X, T))) | (hazard_of_mortality(X, T) = mod1)) & ((~(is_aligned(X, T) & (~positional_advantage(X, T)))) | (hazard_of_mortality(X, T) = mod2)) & ((~((~is_aligned(X, T)) & (~positional_advantage(X, T)))) | (hazard_of_mortality(X, T) = high)))))) <=> ((~organization(X)) | (((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low)) & (has_immunity(X, T) | (((~(is_aligned(X, T) & positional_advantage(X, T))) | (hazard_of_mortality(X, T) = low)) & ((~((~is_aligned(X, T)) & positional_advantage(X, T))) | (hazard_of_mortality(X, T) = mod1)) & ((~(is_aligned(X, T) & (~positional_advantage(X, T)))) | (hazard_of_mortality(X, T) = mod2)) & ((~((~is_aligned(X, T)) & (~positional_advantage(X, T)))) | (hazard_of_mortality(X, T) = high))))))), ((organization(X) => ((has_immunity(X, T) => (hazard_of_mortality(X, T) = very_low)) & ((~has_immunity(X, T)) => (((((is_aligned(X, T) & positional_advantage(X, T)) => (hazard_of_mortality(X, T) = low)) & (((~is_aligned(X, T)) & positional_advantage(X, T)) => (hazard_of_mortality(X, T) = mod1))) & ((is_aligned(X, T) & (~positional_advantage(X, T))) => (hazard_of_mortality(X, T) = mod2))) & (((~is_aligned(X, T)) & (~positional_advantage(X, T))) => (hazard_of_mortality(X, T) = high)))))) <=> ((~organization(X)) | (((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low)) & (has_immunity(X, T) | (((~(is_aligned(X, T) & positional_advantage(X, T))) | (hazard_of_mortality(X, T) = low)) & ((~((~is_aligned(X, T)) & positional_advantage(X, T))) | (hazard_of_mortality(X, T) = mod1)) & ((~(is_aligned(X, T) & (~positional_advantage(X, T)))) | (hazard_of_mortality(X, T) = mod2)) & ((~((~is_aligned(X, T)) & (~positional_advantage(X, T)))) | (hazard_of_mortality(X, T) = high))))))))),
% 0.22/0.47 inference(bind,[status(th)],[])).
% 0.22/0.47 tff(40,plain,
% 0.22/0.47 (![X: $i, T: $i] : (organization(X) => ((has_immunity(X, T) => (hazard_of_mortality(X, T) = very_low)) & ((~has_immunity(X, T)) => (((((is_aligned(X, T) & positional_advantage(X, T)) => (hazard_of_mortality(X, T) = low)) & (((~is_aligned(X, T)) & positional_advantage(X, T)) => (hazard_of_mortality(X, T) = mod1))) & ((is_aligned(X, T) & (~positional_advantage(X, T))) => (hazard_of_mortality(X, T) = mod2))) & (((~is_aligned(X, T)) & (~positional_advantage(X, T))) => (hazard_of_mortality(X, T) = high)))))) <=> ![X: $i, T: $i] : ((~organization(X)) | (((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low)) & (has_immunity(X, T) | (((~(is_aligned(X, T) & positional_advantage(X, T))) | (hazard_of_mortality(X, T) = low)) & ((~((~is_aligned(X, T)) & positional_advantage(X, T))) | (hazard_of_mortality(X, T) = mod1)) & ((~(is_aligned(X, T) & (~positional_advantage(X, T)))) | (hazard_of_mortality(X, T) = mod2)) & ((~((~is_aligned(X, T)) & (~positional_advantage(X, T)))) | (hazard_of_mortality(X, T) = high))))))),
% 0.22/0.47 inference(quant_intro,[status(thm)],[39])).
% 0.22/0.47 tff(41,axiom,(![X: $i, T: $i] : (organization(X) => ((has_immunity(X, T) => (hazard_of_mortality(X, T) = very_low)) & ((~has_immunity(X, T)) => (((((is_aligned(X, T) & positional_advantage(X, T)) => (hazard_of_mortality(X, T) = low)) & (((~is_aligned(X, T)) & positional_advantage(X, T)) => (hazard_of_mortality(X, T) = mod1))) & ((is_aligned(X, T) & (~positional_advantage(X, T))) => (hazard_of_mortality(X, T) = mod2))) & (((~is_aligned(X, T)) & (~positional_advantage(X, T))) => (hazard_of_mortality(X, T) = high))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','assumption_17')).
% 0.22/0.47 tff(42,plain,
% 0.22/0.47 (![X: $i, T: $i] : ((~organization(X)) | (((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low)) & (has_immunity(X, T) | (((~(is_aligned(X, T) & positional_advantage(X, T))) | (hazard_of_mortality(X, T) = low)) & ((~((~is_aligned(X, T)) & positional_advantage(X, T))) | (hazard_of_mortality(X, T) = mod1)) & ((~(is_aligned(X, T) & (~positional_advantage(X, T)))) | (hazard_of_mortality(X, T) = mod2)) & ((~((~is_aligned(X, T)) & (~positional_advantage(X, T)))) | (hazard_of_mortality(X, T) = high))))))),
% 0.22/0.47 inference(modus_ponens,[status(thm)],[41, 40])).
% 0.22/0.47 tff(43,plain,
% 0.22/0.47 (![X: $i, T: $i] : ((~organization(X)) | (((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low)) & (has_immunity(X, T) | (((~(is_aligned(X, T) & positional_advantage(X, T))) | (hazard_of_mortality(X, T) = low)) & ((~((~is_aligned(X, T)) & positional_advantage(X, T))) | (hazard_of_mortality(X, T) = mod1)) & ((~(is_aligned(X, T) & (~positional_advantage(X, T)))) | (hazard_of_mortality(X, T) = mod2)) & ((~((~is_aligned(X, T)) & (~positional_advantage(X, T)))) | (hazard_of_mortality(X, T) = high))))))),
% 0.22/0.47 inference(modus_ponens,[status(thm)],[42, 38])).
% 0.22/0.47 tff(44,plain,(
% 0.22/0.47 ![X: $i, T: $i] : ((~organization(X)) | (((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low)) & (has_immunity(X, T) | (((~(is_aligned(X, T) & positional_advantage(X, T))) | (hazard_of_mortality(X, T) = low)) & ((~((~is_aligned(X, T)) & positional_advantage(X, T))) | (hazard_of_mortality(X, T) = mod1)) & ((~(is_aligned(X, T) & (~positional_advantage(X, T)))) | (hazard_of_mortality(X, T) = mod2)) & ((~((~is_aligned(X, T)) & (~positional_advantage(X, T)))) | (hazard_of_mortality(X, T) = high))))))),
% 0.22/0.47 inference(skolemize,[status(sab)],[43])).
% 0.22/0.47 tff(45,plain,
% 0.22/0.47 (![X: $i, T: $i] : ((~organization(X)) | (~((~((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low))) | (~(has_immunity(X, T) | (~((~((~positional_advantage(X, T)) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = low))) | (~((~positional_advantage(X, T)) | is_aligned(X, T) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(positional_advantage(X, T) | is_aligned(X, T) | (hazard_of_mortality(X, T) = high))))))))))),
% 0.22/0.48 inference(modus_ponens,[status(thm)],[44, 37])).
% 0.22/0.48 tff(46,plain,
% 0.22/0.48 (![X: $i, T: $i] : ((~organization(X)) | (~((~((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low))) | (~(has_immunity(X, T) | (~((~((~positional_advantage(X, T)) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = low))) | (~((~positional_advantage(X, T)) | is_aligned(X, T) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(positional_advantage(X, T) | is_aligned(X, T) | (hazard_of_mortality(X, T) = high))))))))))),
% 0.22/0.48 inference(modus_ponens,[status(thm)],[45, 35])).
% 0.22/0.48 tff(47,plain,
% 0.22/0.48 (((~![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!4)) | (~((~((~has_immunity(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = very_low))) | (~(has_immunity(X!4, T0!3) | (~((~((~positional_advantage(X!4, T0!3)) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = low))) | (~((~positional_advantage(X!4, T0!3)) | is_aligned(X!4, T0!3) | (hazard_of_mortality(X!4, T0!3) = mod1))) | (~(positional_advantage(X!4, T0!3) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = mod2))) | (~(is_aligned(X!4, T0!3) | positional_advantage(X!4, T0!3) | (hazard_of_mortality(X!4, T0!3) = high))))))))))) <=> ((~![X: $i, T: $i] : ((~organization(X)) | (~((~((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low))) | (~(has_immunity(X, T) | (~((~((~positional_advantage(X, T)) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = low))) | (~((~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!4)) | (~((~((~has_immunity(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = very_low))) | (~(has_immunity(X!4, T0!3) | (~((~((~positional_advantage(X!4, T0!3)) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = low))) | (~((~positional_advantage(X!4, T0!3)) | is_aligned(X!4, T0!3) | (hazard_of_mortality(X!4, T0!3) = mod1))) | (~(positional_advantage(X!4, T0!3) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = mod2))) | (~(is_aligned(X!4, T0!3) | positional_advantage(X!4, T0!3) | (hazard_of_mortality(X!4, T0!3) = high))))))))))),
% 0.22/0.48 inference(rewrite,[status(thm)],[])).
% 0.22/0.48 tff(48,plain,
% 0.22/0.48 (((~organization(X!4)) | (~((~((~has_immunity(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = very_low))) | (~(has_immunity(X!4, T0!3) | (~((~((~positional_advantage(X!4, T0!3)) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = low))) | (~((~positional_advantage(X!4, T0!3)) | is_aligned(X!4, T0!3) | (hazard_of_mortality(X!4, T0!3) = mod1))) | (~(positional_advantage(X!4, T0!3) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = mod2))) | (~(positional_advantage(X!4, T0!3) | is_aligned(X!4, T0!3) | (hazard_of_mortality(X!4, T0!3) = high)))))))))) <=> ((~organization(X!4)) | (~((~((~has_immunity(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = very_low))) | (~(has_immunity(X!4, T0!3) | (~((~((~positional_advantage(X!4, T0!3)) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = low))) | (~((~positional_advantage(X!4, T0!3)) | is_aligned(X!4, T0!3) | (hazard_of_mortality(X!4, T0!3) = mod1))) | (~(positional_advantage(X!4, T0!3) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = mod2))) | (~(is_aligned(X!4, T0!3) | positional_advantage(X!4, T0!3) | (hazard_of_mortality(X!4, T0!3) = high))))))))))),
% 0.22/0.48 inference(rewrite,[status(thm)],[])).
% 0.22/0.48 tff(49,plain,
% 0.22/0.48 (((~![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!4)) | (~((~((~has_immunity(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = very_low))) | (~(has_immunity(X!4, T0!3) | (~((~((~positional_advantage(X!4, T0!3)) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = low))) | (~((~positional_advantage(X!4, T0!3)) | is_aligned(X!4, T0!3) | (hazard_of_mortality(X!4, T0!3) = mod1))) | (~(positional_advantage(X!4, T0!3) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = mod2))) | (~(positional_advantage(X!4, T0!3) | is_aligned(X!4, T0!3) | (hazard_of_mortality(X!4, T0!3) = high))))))))))) <=> ((~![X: $i, T: $i] : ((~organization(X)) | (~((~((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low))) | (~(has_immunity(X, T) | (~((~((~positional_advantage(X, T)) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = low))) | (~((~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!4)) | (~((~((~has_immunity(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = very_low))) | (~(has_immunity(X!4, T0!3) | (~((~((~positional_advantage(X!4, T0!3)) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = low))) | (~((~positional_advantage(X!4, T0!3)) | is_aligned(X!4, T0!3) | (hazard_of_mortality(X!4, T0!3) = mod1))) | (~(positional_advantage(X!4, T0!3) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = mod2))) | (~(is_aligned(X!4, T0!3) | positional_advantage(X!4, T0!3) | (hazard_of_mortality(X!4, T0!3) = high)))))))))))),
% 0.22/0.48 inference(monotonicity,[status(thm)],[48])).
% 0.22/0.48 tff(50,plain,
% 0.22/0.48 (((~![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!4)) | (~((~((~has_immunity(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = very_low))) | (~(has_immunity(X!4, T0!3) | (~((~((~positional_advantage(X!4, T0!3)) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = low))) | (~((~positional_advantage(X!4, T0!3)) | is_aligned(X!4, T0!3) | (hazard_of_mortality(X!4, T0!3) = mod1))) | (~(positional_advantage(X!4, T0!3) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = mod2))) | (~(positional_advantage(X!4, T0!3) | is_aligned(X!4, T0!3) | (hazard_of_mortality(X!4, T0!3) = high))))))))))) <=> ((~![X: $i, T: $i] : ((~organization(X)) | (~((~((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low))) | (~(has_immunity(X, T) | (~((~((~positional_advantage(X, T)) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = low))) | (~((~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!4)) | (~((~((~has_immunity(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = very_low))) | (~(has_immunity(X!4, T0!3) | (~((~((~positional_advantage(X!4, T0!3)) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = low))) | (~((~positional_advantage(X!4, T0!3)) | is_aligned(X!4, T0!3) | (hazard_of_mortality(X!4, T0!3) = mod1))) | (~(positional_advantage(X!4, T0!3) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = mod2))) | (~(is_aligned(X!4, T0!3) | positional_advantage(X!4, T0!3) | (hazard_of_mortality(X!4, T0!3) = high))))))))))),
% 0.22/0.48 inference(transitivity,[status(thm)],[49, 47])).
% 0.22/0.48 tff(51,plain,
% 0.22/0.48 ((~![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!4)) | (~((~((~has_immunity(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = very_low))) | (~(has_immunity(X!4, T0!3) | (~((~((~positional_advantage(X!4, T0!3)) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = low))) | (~((~positional_advantage(X!4, T0!3)) | is_aligned(X!4, T0!3) | (hazard_of_mortality(X!4, T0!3) = mod1))) | (~(positional_advantage(X!4, T0!3) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = mod2))) | (~(positional_advantage(X!4, T0!3) | is_aligned(X!4, T0!3) | (hazard_of_mortality(X!4, T0!3) = high))))))))))),
% 0.22/0.48 inference(quant_inst,[status(thm)],[])).
% 0.22/0.48 tff(52,plain,
% 0.22/0.48 ((~![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!4)) | (~((~((~has_immunity(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = very_low))) | (~(has_immunity(X!4, T0!3) | (~((~((~positional_advantage(X!4, T0!3)) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = low))) | (~((~positional_advantage(X!4, T0!3)) | is_aligned(X!4, T0!3) | (hazard_of_mortality(X!4, T0!3) = mod1))) | (~(positional_advantage(X!4, T0!3) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = mod2))) | (~(is_aligned(X!4, T0!3) | positional_advantage(X!4, T0!3) | (hazard_of_mortality(X!4, T0!3) = high)))))))))),
% 0.22/0.48 inference(modus_ponens,[status(thm)],[51, 50])).
% 0.22/0.48 tff(53,plain,
% 0.22/0.48 (~((~((~has_immunity(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = very_low))) | (~(has_immunity(X!4, T0!3) | (~((~((~positional_advantage(X!4, T0!3)) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = low))) | (~((~positional_advantage(X!4, T0!3)) | is_aligned(X!4, T0!3) | (hazard_of_mortality(X!4, T0!3) = mod1))) | (~(positional_advantage(X!4, T0!3) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = mod2))) | (~(is_aligned(X!4, T0!3) | positional_advantage(X!4, T0!3) | (hazard_of_mortality(X!4, T0!3) = high))))))))),
% 0.22/0.48 inference(unit_resolution,[status(thm)],[52, 46, 12])).
% 0.22/0.48 tff(54,plain,
% 0.22/0.48 (((~((~has_immunity(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = very_low))) | (~(has_immunity(X!4, T0!3) | (~((~((~positional_advantage(X!4, T0!3)) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = low))) | (~((~positional_advantage(X!4, T0!3)) | is_aligned(X!4, T0!3) | (hazard_of_mortality(X!4, T0!3) = mod1))) | (~(positional_advantage(X!4, T0!3) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = mod2))) | (~(is_aligned(X!4, T0!3) | positional_advantage(X!4, T0!3) | (hazard_of_mortality(X!4, T0!3) = high)))))))) | (has_immunity(X!4, T0!3) | (~((~((~positional_advantage(X!4, T0!3)) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = low))) | (~((~positional_advantage(X!4, T0!3)) | is_aligned(X!4, T0!3) | (hazard_of_mortality(X!4, T0!3) = mod1))) | (~(positional_advantage(X!4, T0!3) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = mod2))) | (~(is_aligned(X!4, T0!3) | positional_advantage(X!4, T0!3) | (hazard_of_mortality(X!4, T0!3) = high))))))),
% 0.22/0.49 inference(tautology,[status(thm)],[])).
% 0.22/0.49 tff(55,plain,
% 0.22/0.49 (has_immunity(X!4, T0!3) | (~((~((~positional_advantage(X!4, T0!3)) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = low))) | (~((~positional_advantage(X!4, T0!3)) | is_aligned(X!4, T0!3) | (hazard_of_mortality(X!4, T0!3) = mod1))) | (~(positional_advantage(X!4, T0!3) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = mod2))) | (~(is_aligned(X!4, T0!3) | positional_advantage(X!4, T0!3) | (hazard_of_mortality(X!4, T0!3) = high)))))),
% 0.22/0.49 inference(unit_resolution,[status(thm)],[54, 53])).
% 0.22/0.49 tff(56,plain,
% 0.22/0.49 ((~(has_immunity(X!4, T0!3) | (~((~((~positional_advantage(X!4, T0!3)) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = low))) | (~((~positional_advantage(X!4, T0!3)) | is_aligned(X!4, T0!3) | (hazard_of_mortality(X!4, T0!3) = mod1))) | (~(positional_advantage(X!4, T0!3) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = mod2))) | (~(is_aligned(X!4, T0!3) | positional_advantage(X!4, T0!3) | (hazard_of_mortality(X!4, T0!3) = high))))))) | has_immunity(X!4, T0!3) | (~((~((~positional_advantage(X!4, T0!3)) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = low))) | (~((~positional_advantage(X!4, T0!3)) | is_aligned(X!4, T0!3) | (hazard_of_mortality(X!4, T0!3) = mod1))) | (~(positional_advantage(X!4, T0!3) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = mod2))) | (~(is_aligned(X!4, T0!3) | positional_advantage(X!4, T0!3) | (hazard_of_mortality(X!4, T0!3) = high)))))),
% 0.22/0.49 inference(tautology,[status(thm)],[])).
% 0.22/0.49 tff(57,plain,
% 0.22/0.49 (has_immunity(X!4, T0!3) | (~((~((~positional_advantage(X!4, T0!3)) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = low))) | (~((~positional_advantage(X!4, T0!3)) | is_aligned(X!4, T0!3) | (hazard_of_mortality(X!4, T0!3) = mod1))) | (~(positional_advantage(X!4, T0!3) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = mod2))) | (~(is_aligned(X!4, T0!3) | positional_advantage(X!4, T0!3) | (hazard_of_mortality(X!4, T0!3) = high)))))),
% 0.22/0.49 inference(unit_resolution,[status(thm)],[56, 55])).
% 0.22/0.49 tff(58,plain,
% 0.22/0.49 (~((~((~positional_advantage(X!4, T0!3)) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = low))) | (~((~positional_advantage(X!4, T0!3)) | is_aligned(X!4, T0!3) | (hazard_of_mortality(X!4, T0!3) = mod1))) | (~(positional_advantage(X!4, T0!3) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = mod2))) | (~(is_aligned(X!4, T0!3) | positional_advantage(X!4, T0!3) | (hazard_of_mortality(X!4, T0!3) = high))))),
% 0.22/0.49 inference(unit_resolution,[status(thm)],[57, 33])).
% 0.22/0.49 tff(59,plain,
% 0.22/0.49 (((~((~positional_advantage(X!4, T0!3)) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = low))) | (~((~positional_advantage(X!4, T0!3)) | is_aligned(X!4, T0!3) | (hazard_of_mortality(X!4, T0!3) = mod1))) | (~(positional_advantage(X!4, T0!3) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = mod2))) | (~(is_aligned(X!4, T0!3) | positional_advantage(X!4, T0!3) | (hazard_of_mortality(X!4, T0!3) = high)))) | ((~positional_advantage(X!4, T0!3)) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = low))),
% 0.22/0.49 inference(tautology,[status(thm)],[])).
% 0.22/0.49 tff(60,plain,
% 0.22/0.49 ((~positional_advantage(X!4, T0!3)) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = low)),
% 0.22/0.49 inference(unit_resolution,[status(thm)],[59, 58])).
% 0.22/0.49 tff(61,plain,
% 0.22/0.49 (^[X: $i] : rewrite((~((~((~fragile_position(X)) | ![T: $i] : (~((~((~smaller_or_equal(age(X, T), sigma)) | positional_advantage(X, T))) | (~((~positional_advantage(X, T)) | (~greater(age(X, T), sigma)))))))) | (~(fragile_position(X) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), sigma)) | positional_advantage(X, tptp_fun_T_0(X)))) | (~((~positional_advantage(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), sigma)))))))) <=> (~((~(fragile_position(X) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), sigma)) | positional_advantage(X, tptp_fun_T_0(X)))) | (~((~positional_advantage(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), sigma)))))) | (~((~fragile_position(X)) | ![T: $i] : (~((~((~smaller_or_equal(age(X, T), sigma)) | positional_advantage(X, T))) | (~((~positional_advantage(X, T)) | (~greater(age(X, T), sigma)))))))))))),
% 0.22/0.49 inference(bind,[status(th)],[])).
% 0.22/0.49 tff(62,plain,
% 0.22/0.49 (![X: $i] : (~((~((~fragile_position(X)) | ![T: $i] : (~((~((~smaller_or_equal(age(X, T), sigma)) | positional_advantage(X, T))) | (~((~positional_advantage(X, T)) | (~greater(age(X, T), sigma)))))))) | (~(fragile_position(X) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), sigma)) | positional_advantage(X, tptp_fun_T_0(X)))) | (~((~positional_advantage(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), sigma)))))))) <=> ![X: $i] : (~((~(fragile_position(X) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), sigma)) | positional_advantage(X, tptp_fun_T_0(X)))) | (~((~positional_advantage(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), sigma)))))) | (~((~fragile_position(X)) | ![T: $i] : (~((~((~smaller_or_equal(age(X, T), sigma)) | positional_advantage(X, T))) | (~((~positional_advantage(X, T)) | (~greater(age(X, T), sigma))))))))))),
% 0.22/0.49 inference(quant_intro,[status(thm)],[61])).
% 0.22/0.49 tff(63,plain,
% 0.22/0.49 (^[X: $i] : refl((~((~((~fragile_position(X)) | ![T: $i] : (~((~((~smaller_or_equal(age(X, T), sigma)) | positional_advantage(X, T))) | (~((~positional_advantage(X, T)) | (~greater(age(X, T), sigma)))))))) | (~(fragile_position(X) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), sigma)) | positional_advantage(X, tptp_fun_T_0(X)))) | (~((~positional_advantage(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), sigma)))))))) <=> (~((~((~fragile_position(X)) | ![T: $i] : (~((~((~smaller_or_equal(age(X, T), sigma)) | positional_advantage(X, T))) | (~((~positional_advantage(X, T)) | (~greater(age(X, T), sigma)))))))) | (~(fragile_position(X) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), sigma)) | positional_advantage(X, tptp_fun_T_0(X)))) | (~((~positional_advantage(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), sigma)))))))))),
% 0.22/0.49 inference(bind,[status(th)],[])).
% 0.22/0.49 tff(64,plain,
% 0.22/0.49 (![X: $i] : (~((~((~fragile_position(X)) | ![T: $i] : (~((~((~smaller_or_equal(age(X, T), sigma)) | positional_advantage(X, T))) | (~((~positional_advantage(X, T)) | (~greater(age(X, T), sigma)))))))) | (~(fragile_position(X) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), sigma)) | positional_advantage(X, tptp_fun_T_0(X)))) | (~((~positional_advantage(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), sigma)))))))) <=> ![X: $i] : (~((~((~fragile_position(X)) | ![T: $i] : (~((~((~smaller_or_equal(age(X, T), sigma)) | positional_advantage(X, T))) | (~((~positional_advantage(X, T)) | (~greater(age(X, T), sigma)))))))) | (~(fragile_position(X) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), sigma)) | positional_advantage(X, tptp_fun_T_0(X)))) | (~((~positional_advantage(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), sigma))))))))),
% 0.22/0.49 inference(quant_intro,[status(thm)],[63])).
% 0.22/0.49 tff(65,plain,
% 0.22/0.49 (^[X: $i] : rewrite((~((~((~fragile_position(X)) | ![T: $i] : (~((~((~smaller_or_equal(age(X, T), sigma)) | positional_advantage(X, T))) | (~((~positional_advantage(X, T)) | (~greater(age(X, T), sigma)))))))) | (~(fragile_position(X) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), sigma)) | positional_advantage(X, tptp_fun_T_0(X)))) | (~((~positional_advantage(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), sigma)))))))) <=> (~((~((~fragile_position(X)) | ![T: $i] : (~((~((~smaller_or_equal(age(X, T), sigma)) | positional_advantage(X, T))) | (~((~positional_advantage(X, T)) | (~greater(age(X, T), sigma)))))))) | (~(fragile_position(X) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), sigma)) | positional_advantage(X, tptp_fun_T_0(X)))) | (~((~positional_advantage(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), sigma)))))))))),
% 0.22/0.49 inference(bind,[status(th)],[])).
% 0.22/0.49 tff(66,plain,
% 0.22/0.49 (![X: $i] : (~((~((~fragile_position(X)) | ![T: $i] : (~((~((~smaller_or_equal(age(X, T), sigma)) | positional_advantage(X, T))) | (~((~positional_advantage(X, T)) | (~greater(age(X, T), sigma)))))))) | (~(fragile_position(X) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), sigma)) | positional_advantage(X, tptp_fun_T_0(X)))) | (~((~positional_advantage(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), sigma)))))))) <=> ![X: $i] : (~((~((~fragile_position(X)) | ![T: $i] : (~((~((~smaller_or_equal(age(X, T), sigma)) | positional_advantage(X, T))) | (~((~positional_advantage(X, T)) | (~greater(age(X, T), sigma)))))))) | (~(fragile_position(X) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), sigma)) | positional_advantage(X, tptp_fun_T_0(X)))) | (~((~positional_advantage(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), sigma))))))))),
% 0.22/0.49 inference(quant_intro,[status(thm)],[65])).
% 0.22/0.49 tff(67,plain,
% 0.22/0.49 (![X: $i] : (~((~((~fragile_position(X)) | ![T: $i] : (~((~((~smaller_or_equal(age(X, T), sigma)) | positional_advantage(X, T))) | (~((~positional_advantage(X, T)) | (~greater(age(X, T), sigma)))))))) | (~(fragile_position(X) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), sigma)) | positional_advantage(X, tptp_fun_T_0(X)))) | (~((~positional_advantage(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), sigma)))))))) <=> ![X: $i] : (~((~((~fragile_position(X)) | ![T: $i] : (~((~((~smaller_or_equal(age(X, T), sigma)) | positional_advantage(X, T))) | (~((~positional_advantage(X, T)) | (~greater(age(X, T), sigma)))))))) | (~(fragile_position(X) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), sigma)) | positional_advantage(X, tptp_fun_T_0(X)))) | (~((~positional_advantage(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), sigma))))))))),
% 0.22/0.49 inference(transitivity,[status(thm)],[66, 64])).
% 0.22/0.49 tff(68,plain,
% 0.22/0.49 (^[X: $i] : trans(monotonicity(rewrite(((~fragile_position(X)) | ![T: $i] : (((~smaller_or_equal(age(X, T), sigma)) | positional_advantage(X, T)) & ((~positional_advantage(X, T)) | (~greater(age(X, T), sigma))))) <=> ((~fragile_position(X)) | ![T: $i] : (~((~((~smaller_or_equal(age(X, T), sigma)) | positional_advantage(X, T))) | (~((~positional_advantage(X, T)) | (~greater(age(X, T), sigma)))))))), trans(monotonicity(trans(monotonicity(rewrite((((~smaller_or_equal(age(X, tptp_fun_T_0(X)), sigma)) | positional_advantage(X, tptp_fun_T_0(X))) & ((~positional_advantage(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), sigma)))) <=> (~((~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), sigma)) | positional_advantage(X, tptp_fun_T_0(X)))) | (~((~positional_advantage(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), sigma))))))), ((~(((~smaller_or_equal(age(X, tptp_fun_T_0(X)), sigma)) | positional_advantage(X, tptp_fun_T_0(X))) & ((~positional_advantage(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), sigma))))) <=> (~(~((~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), sigma)) | positional_advantage(X, tptp_fun_T_0(X)))) | (~((~positional_advantage(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), sigma))))))))), rewrite((~(~((~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), sigma)) | positional_advantage(X, tptp_fun_T_0(X)))) | (~((~positional_advantage(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), sigma))))))) <=> ((~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), sigma)) | positional_advantage(X, tptp_fun_T_0(X)))) | (~((~positional_advantage(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), sigma)))))), ((~(((~smaller_or_equal(age(X, tptp_fun_T_0(X)), sigma)) | positional_advantage(X, tptp_fun_T_0(X))) & ((~positional_advantage(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), sigma))))) <=> ((~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), sigma)) | positional_advantage(X, tptp_fun_T_0(X)))) | (~((~positional_advantage(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), sigma))))))), ((fragile_position(X) | (~(((~smaller_or_equal(age(X, tptp_fun_T_0(X)), sigma)) | positional_advantage(X, tptp_fun_T_0(X))) & ((~positional_advantage(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), sigma)))))) <=> (fragile_position(X) | ((~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), sigma)) | positional_advantage(X, tptp_fun_T_0(X)))) | (~((~positional_advantage(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), sigma)))))))), rewrite((fragile_position(X) | ((~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), sigma)) | positional_advantage(X, tptp_fun_T_0(X)))) | (~((~positional_advantage(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), sigma)))))) <=> (fragile_position(X) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), sigma)) | positional_advantage(X, tptp_fun_T_0(X)))) | (~((~positional_advantage(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), sigma)))))), ((fragile_position(X) | (~(((~smaller_or_equal(age(X, tptp_fun_T_0(X)), sigma)) | positional_advantage(X, tptp_fun_T_0(X))) & ((~positional_advantage(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), sigma)))))) <=> (fragile_position(X) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), sigma)) | positional_advantage(X, tptp_fun_T_0(X)))) | (~((~positional_advantage(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), sigma))))))), ((((~fragile_position(X)) | ![T: $i] : (((~smaller_or_equal(age(X, T), sigma)) | positional_advantage(X, T)) & ((~positional_advantage(X, T)) | (~greater(age(X, T), sigma))))) & (fragile_position(X) | (~(((~smaller_or_equal(age(X, tptp_fun_T_0(X)), sigma)) | positional_advantage(X, tptp_fun_T_0(X))) & ((~positional_advantage(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), sigma))))))) <=> (((~fragile_position(X)) | ![T: $i] : (~((~((~smaller_or_equal(age(X, T), sigma)) | positional_advantage(X, T))) | (~((~positional_advantage(X, T)) | (~greater(age(X, T), sigma))))))) & (fragile_position(X) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), sigma)) | positional_advantage(X, tptp_fun_T_0(X)))) | (~((~positional_advantage(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), sigma)))))))), rewrite((((~fragile_position(X)) | ![T: $i] : (~((~((~smaller_or_equal(age(X, T), sigma)) | positional_advantage(X, T))) | (~((~positional_advantage(X, T)) | (~greater(age(X, T), sigma))))))) & (fragile_position(X) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), sigma)) | positional_advantage(X, tptp_fun_T_0(X)))) | (~((~positional_advantage(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), sigma)))))) <=> (~((~((~fragile_position(X)) | ![T: $i] : (~((~((~smaller_or_equal(age(X, T), sigma)) | positional_advantage(X, T))) | (~((~positional_advantage(X, T)) | (~greater(age(X, T), sigma)))))))) | (~(fragile_position(X) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), sigma)) | positional_advantage(X, tptp_fun_T_0(X)))) | (~((~positional_advantage(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), sigma))))))))), ((((~fragile_position(X)) | ![T: $i] : (((~smaller_or_equal(age(X, T), sigma)) | positional_advantage(X, T)) & ((~positional_advantage(X, T)) | (~greater(age(X, T), sigma))))) & (fragile_position(X) | (~(((~smaller_or_equal(age(X, tptp_fun_T_0(X)), sigma)) | positional_advantage(X, tptp_fun_T_0(X))) & ((~positional_advantage(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), sigma))))))) <=> (~((~((~fragile_position(X)) | ![T: $i] : (~((~((~smaller_or_equal(age(X, T), sigma)) | positional_advantage(X, T))) | (~((~positional_advantage(X, T)) | (~greater(age(X, T), sigma)))))))) | (~(fragile_position(X) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), sigma)) | positional_advantage(X, tptp_fun_T_0(X)))) | (~((~positional_advantage(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), sigma))))))))))),
% 0.22/0.49 inference(bind,[status(th)],[])).
% 0.22/0.49 tff(69,plain,
% 0.22/0.49 (![X: $i] : (((~fragile_position(X)) | ![T: $i] : (((~smaller_or_equal(age(X, T), sigma)) | positional_advantage(X, T)) & ((~positional_advantage(X, T)) | (~greater(age(X, T), sigma))))) & (fragile_position(X) | (~(((~smaller_or_equal(age(X, tptp_fun_T_0(X)), sigma)) | positional_advantage(X, tptp_fun_T_0(X))) & ((~positional_advantage(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), sigma))))))) <=> ![X: $i] : (~((~((~fragile_position(X)) | ![T: $i] : (~((~((~smaller_or_equal(age(X, T), sigma)) | positional_advantage(X, T))) | (~((~positional_advantage(X, T)) | (~greater(age(X, T), sigma)))))))) | (~(fragile_position(X) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), sigma)) | positional_advantage(X, tptp_fun_T_0(X)))) | (~((~positional_advantage(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), sigma))))))))),
% 0.22/0.49 inference(quant_intro,[status(thm)],[68])).
% 0.22/0.49 tff(70,plain,
% 0.22/0.49 (![X: $i] : (fragile_position(X) <=> ![T: $i] : (((~smaller_or_equal(age(X, T), sigma)) | positional_advantage(X, T)) & ((~positional_advantage(X, T)) | (~greater(age(X, T), sigma))))) <=> ![X: $i] : (fragile_position(X) <=> ![T: $i] : (((~smaller_or_equal(age(X, T), sigma)) | positional_advantage(X, T)) & ((~positional_advantage(X, T)) | (~greater(age(X, T), sigma)))))),
% 0.22/0.49 inference(rewrite,[status(thm)],[])).
% 0.22/0.49 tff(71,plain,
% 0.22/0.49 (^[X: $i] : rewrite((fragile_position(X) <=> ![T: $i] : ((smaller_or_equal(age(X, T), sigma) => positional_advantage(X, T)) & (greater(age(X, T), sigma) => (~positional_advantage(X, T))))) <=> (fragile_position(X) <=> ![T: $i] : (((~smaller_or_equal(age(X, T), sigma)) | positional_advantage(X, T)) & ((~positional_advantage(X, T)) | (~greater(age(X, T), sigma))))))),
% 0.22/0.49 inference(bind,[status(th)],[])).
% 0.22/0.49 tff(72,plain,
% 0.22/0.49 (![X: $i] : (fragile_position(X) <=> ![T: $i] : ((smaller_or_equal(age(X, T), sigma) => positional_advantage(X, T)) & (greater(age(X, T), sigma) => (~positional_advantage(X, T))))) <=> ![X: $i] : (fragile_position(X) <=> ![T: $i] : (((~smaller_or_equal(age(X, T), sigma)) | positional_advantage(X, T)) & ((~positional_advantage(X, T)) | (~greater(age(X, T), sigma)))))),
% 0.22/0.49 inference(quant_intro,[status(thm)],[71])).
% 0.22/0.49 tff(73,axiom,(![X: $i] : (fragile_position(X) <=> ![T: $i] : ((smaller_or_equal(age(X, T), sigma) => positional_advantage(X, T)) & (greater(age(X, T), sigma) => (~positional_advantage(X, T)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','definition_3')).
% 0.22/0.49 tff(74,plain,
% 0.22/0.49 (![X: $i] : (fragile_position(X) <=> ![T: $i] : (((~smaller_or_equal(age(X, T), sigma)) | positional_advantage(X, T)) & ((~positional_advantage(X, T)) | (~greater(age(X, T), sigma)))))),
% 0.22/0.49 inference(modus_ponens,[status(thm)],[73, 72])).
% 0.22/0.49 tff(75,plain,
% 0.22/0.49 (![X: $i] : (fragile_position(X) <=> ![T: $i] : (((~smaller_or_equal(age(X, T), sigma)) | positional_advantage(X, T)) & ((~positional_advantage(X, T)) | (~greater(age(X, T), sigma)))))),
% 0.22/0.49 inference(modus_ponens,[status(thm)],[74, 70])).
% 0.22/0.49 tff(76,plain,(
% 0.22/0.49 ![X: $i] : (((~fragile_position(X)) | ![T: $i] : (((~smaller_or_equal(age(X, T), sigma)) | positional_advantage(X, T)) & ((~positional_advantage(X, T)) | (~greater(age(X, T), sigma))))) & (fragile_position(X) | (~(((~smaller_or_equal(age(X, tptp_fun_T_0(X)), sigma)) | positional_advantage(X, tptp_fun_T_0(X))) & ((~positional_advantage(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), sigma)))))))),
% 0.22/0.49 inference(skolemize,[status(sab)],[75])).
% 0.22/0.49 tff(77,plain,
% 0.22/0.49 (![X: $i] : (~((~((~fragile_position(X)) | ![T: $i] : (~((~((~smaller_or_equal(age(X, T), sigma)) | positional_advantage(X, T))) | (~((~positional_advantage(X, T)) | (~greater(age(X, T), sigma)))))))) | (~(fragile_position(X) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), sigma)) | positional_advantage(X, tptp_fun_T_0(X)))) | (~((~positional_advantage(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), sigma))))))))),
% 0.22/0.49 inference(modus_ponens,[status(thm)],[76, 69])).
% 0.22/0.49 tff(78,plain,
% 0.22/0.49 (![X: $i] : (~((~((~fragile_position(X)) | ![T: $i] : (~((~((~smaller_or_equal(age(X, T), sigma)) | positional_advantage(X, T))) | (~((~positional_advantage(X, T)) | (~greater(age(X, T), sigma)))))))) | (~(fragile_position(X) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), sigma)) | positional_advantage(X, tptp_fun_T_0(X)))) | (~((~positional_advantage(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), sigma))))))))),
% 0.22/0.49 inference(modus_ponens,[status(thm)],[77, 67])).
% 0.22/0.49 tff(79,plain,
% 0.22/0.49 (![X: $i] : (~((~(fragile_position(X) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), sigma)) | positional_advantage(X, tptp_fun_T_0(X)))) | (~((~positional_advantage(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), sigma)))))) | (~((~fragile_position(X)) | ![T: $i] : (~((~((~smaller_or_equal(age(X, T), sigma)) | positional_advantage(X, T))) | (~((~positional_advantage(X, T)) | (~greater(age(X, T), sigma))))))))))),
% 0.22/0.49 inference(modus_ponens,[status(thm)],[78, 62])).
% 0.22/0.49 tff(80,plain,
% 0.22/0.49 (((~![X: $i] : (~((~(fragile_position(X) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), sigma)) | positional_advantage(X, tptp_fun_T_0(X)))) | (~((~positional_advantage(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), sigma)))))) | (~((~fragile_position(X)) | ![T: $i] : (~((~((~smaller_or_equal(age(X, T), sigma)) | positional_advantage(X, T))) | (~((~positional_advantage(X, T)) | (~greater(age(X, T), sigma))))))))))) | (~((~(fragile_position(X!4) | (~((~positional_advantage(X!4, tptp_fun_T_0(X!4))) | (~greater(age(X!4, tptp_fun_T_0(X!4)), sigma)))) | (~((~smaller_or_equal(age(X!4, tptp_fun_T_0(X!4)), sigma)) | positional_advantage(X!4, tptp_fun_T_0(X!4)))))) | (~((~fragile_position(X!4)) | ![T: $i] : (~((~((~smaller_or_equal(age(X!4, T), sigma)) | positional_advantage(X!4, T))) | (~((~positional_advantage(X!4, T)) | (~greater(age(X!4, T), sigma))))))))))) <=> ((~![X: $i] : (~((~(fragile_position(X) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), sigma)) | positional_advantage(X, tptp_fun_T_0(X)))) | (~((~positional_advantage(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), sigma)))))) | (~((~fragile_position(X)) | ![T: $i] : (~((~((~smaller_or_equal(age(X, T), sigma)) | positional_advantage(X, T))) | (~((~positional_advantage(X, T)) | (~greater(age(X, T), sigma))))))))))) | (~((~(fragile_position(X!4) | (~((~positional_advantage(X!4, tptp_fun_T_0(X!4))) | (~greater(age(X!4, tptp_fun_T_0(X!4)), sigma)))) | (~((~smaller_or_equal(age(X!4, tptp_fun_T_0(X!4)), sigma)) | positional_advantage(X!4, tptp_fun_T_0(X!4)))))) | (~((~fragile_position(X!4)) | ![T: $i] : (~((~((~smaller_or_equal(age(X!4, T), sigma)) | positional_advantage(X!4, T))) | (~((~positional_advantage(X!4, T)) | (~greater(age(X!4, T), sigma)))))))))))),
% 0.22/0.49 inference(rewrite,[status(thm)],[])).
% 0.22/0.49 tff(81,plain,
% 0.22/0.49 ((~((~(fragile_position(X!4) | (~((~smaller_or_equal(age(X!4, tptp_fun_T_0(X!4)), sigma)) | positional_advantage(X!4, tptp_fun_T_0(X!4)))) | (~((~positional_advantage(X!4, tptp_fun_T_0(X!4))) | (~greater(age(X!4, tptp_fun_T_0(X!4)), sigma)))))) | (~((~fragile_position(X!4)) | ![T: $i] : (~((~((~smaller_or_equal(age(X!4, T), sigma)) | positional_advantage(X!4, T))) | (~((~positional_advantage(X!4, T)) | (~greater(age(X!4, T), sigma)))))))))) <=> (~((~(fragile_position(X!4) | (~((~positional_advantage(X!4, tptp_fun_T_0(X!4))) | (~greater(age(X!4, tptp_fun_T_0(X!4)), sigma)))) | (~((~smaller_or_equal(age(X!4, tptp_fun_T_0(X!4)), sigma)) | positional_advantage(X!4, tptp_fun_T_0(X!4)))))) | (~((~fragile_position(X!4)) | ![T: $i] : (~((~((~smaller_or_equal(age(X!4, T), sigma)) | positional_advantage(X!4, T))) | (~((~positional_advantage(X!4, T)) | (~greater(age(X!4, T), sigma))))))))))),
% 0.22/0.49 inference(rewrite,[status(thm)],[])).
% 0.22/0.49 tff(82,plain,
% 0.22/0.49 (((~![X: $i] : (~((~(fragile_position(X) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), sigma)) | positional_advantage(X, tptp_fun_T_0(X)))) | (~((~positional_advantage(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), sigma)))))) | (~((~fragile_position(X)) | ![T: $i] : (~((~((~smaller_or_equal(age(X, T), sigma)) | positional_advantage(X, T))) | (~((~positional_advantage(X, T)) | (~greater(age(X, T), sigma))))))))))) | (~((~(fragile_position(X!4) | (~((~smaller_or_equal(age(X!4, tptp_fun_T_0(X!4)), sigma)) | positional_advantage(X!4, tptp_fun_T_0(X!4)))) | (~((~positional_advantage(X!4, tptp_fun_T_0(X!4))) | (~greater(age(X!4, tptp_fun_T_0(X!4)), sigma)))))) | (~((~fragile_position(X!4)) | ![T: $i] : (~((~((~smaller_or_equal(age(X!4, T), sigma)) | positional_advantage(X!4, T))) | (~((~positional_advantage(X!4, T)) | (~greater(age(X!4, T), sigma))))))))))) <=> ((~![X: $i] : (~((~(fragile_position(X) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), sigma)) | positional_advantage(X, tptp_fun_T_0(X)))) | (~((~positional_advantage(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), sigma)))))) | (~((~fragile_position(X)) | ![T: $i] : (~((~((~smaller_or_equal(age(X, T), sigma)) | positional_advantage(X, T))) | (~((~positional_advantage(X, T)) | (~greater(age(X, T), sigma))))))))))) | (~((~(fragile_position(X!4) | (~((~positional_advantage(X!4, tptp_fun_T_0(X!4))) | (~greater(age(X!4, tptp_fun_T_0(X!4)), sigma)))) | (~((~smaller_or_equal(age(X!4, tptp_fun_T_0(X!4)), sigma)) | positional_advantage(X!4, tptp_fun_T_0(X!4)))))) | (~((~fragile_position(X!4)) | ![T: $i] : (~((~((~smaller_or_equal(age(X!4, T), sigma)) | positional_advantage(X!4, T))) | (~((~positional_advantage(X!4, T)) | (~greater(age(X!4, T), sigma)))))))))))),
% 0.22/0.50 inference(monotonicity,[status(thm)],[81])).
% 0.22/0.50 tff(83,plain,
% 0.22/0.50 (((~![X: $i] : (~((~(fragile_position(X) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), sigma)) | positional_advantage(X, tptp_fun_T_0(X)))) | (~((~positional_advantage(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), sigma)))))) | (~((~fragile_position(X)) | ![T: $i] : (~((~((~smaller_or_equal(age(X, T), sigma)) | positional_advantage(X, T))) | (~((~positional_advantage(X, T)) | (~greater(age(X, T), sigma))))))))))) | (~((~(fragile_position(X!4) | (~((~smaller_or_equal(age(X!4, tptp_fun_T_0(X!4)), sigma)) | positional_advantage(X!4, tptp_fun_T_0(X!4)))) | (~((~positional_advantage(X!4, tptp_fun_T_0(X!4))) | (~greater(age(X!4, tptp_fun_T_0(X!4)), sigma)))))) | (~((~fragile_position(X!4)) | ![T: $i] : (~((~((~smaller_or_equal(age(X!4, T), sigma)) | positional_advantage(X!4, T))) | (~((~positional_advantage(X!4, T)) | (~greater(age(X!4, T), sigma))))))))))) <=> ((~![X: $i] : (~((~(fragile_position(X) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), sigma)) | positional_advantage(X, tptp_fun_T_0(X)))) | (~((~positional_advantage(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), sigma)))))) | (~((~fragile_position(X)) | ![T: $i] : (~((~((~smaller_or_equal(age(X, T), sigma)) | positional_advantage(X, T))) | (~((~positional_advantage(X, T)) | (~greater(age(X, T), sigma))))))))))) | (~((~(fragile_position(X!4) | (~((~positional_advantage(X!4, tptp_fun_T_0(X!4))) | (~greater(age(X!4, tptp_fun_T_0(X!4)), sigma)))) | (~((~smaller_or_equal(age(X!4, tptp_fun_T_0(X!4)), sigma)) | positional_advantage(X!4, tptp_fun_T_0(X!4)))))) | (~((~fragile_position(X!4)) | ![T: $i] : (~((~((~smaller_or_equal(age(X!4, T), sigma)) | positional_advantage(X!4, T))) | (~((~positional_advantage(X!4, T)) | (~greater(age(X!4, T), sigma)))))))))))),
% 0.22/0.50 inference(transitivity,[status(thm)],[82, 80])).
% 0.22/0.50 tff(84,plain,
% 0.22/0.50 ((~![X: $i] : (~((~(fragile_position(X) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), sigma)) | positional_advantage(X, tptp_fun_T_0(X)))) | (~((~positional_advantage(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), sigma)))))) | (~((~fragile_position(X)) | ![T: $i] : (~((~((~smaller_or_equal(age(X, T), sigma)) | positional_advantage(X, T))) | (~((~positional_advantage(X, T)) | (~greater(age(X, T), sigma))))))))))) | (~((~(fragile_position(X!4) | (~((~smaller_or_equal(age(X!4, tptp_fun_T_0(X!4)), sigma)) | positional_advantage(X!4, tptp_fun_T_0(X!4)))) | (~((~positional_advantage(X!4, tptp_fun_T_0(X!4))) | (~greater(age(X!4, tptp_fun_T_0(X!4)), sigma)))))) | (~((~fragile_position(X!4)) | ![T: $i] : (~((~((~smaller_or_equal(age(X!4, T), sigma)) | positional_advantage(X!4, T))) | (~((~positional_advantage(X!4, T)) | (~greater(age(X!4, T), sigma))))))))))),
% 0.22/0.50 inference(quant_inst,[status(thm)],[])).
% 0.22/0.50 tff(85,plain,
% 0.22/0.50 ((~![X: $i] : (~((~(fragile_position(X) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), sigma)) | positional_advantage(X, tptp_fun_T_0(X)))) | (~((~positional_advantage(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), sigma)))))) | (~((~fragile_position(X)) | ![T: $i] : (~((~((~smaller_or_equal(age(X, T), sigma)) | positional_advantage(X, T))) | (~((~positional_advantage(X, T)) | (~greater(age(X, T), sigma))))))))))) | (~((~(fragile_position(X!4) | (~((~positional_advantage(X!4, tptp_fun_T_0(X!4))) | (~greater(age(X!4, tptp_fun_T_0(X!4)), sigma)))) | (~((~smaller_or_equal(age(X!4, tptp_fun_T_0(X!4)), sigma)) | positional_advantage(X!4, tptp_fun_T_0(X!4)))))) | (~((~fragile_position(X!4)) | ![T: $i] : (~((~((~smaller_or_equal(age(X!4, T), sigma)) | positional_advantage(X!4, T))) | (~((~positional_advantage(X!4, T)) | (~greater(age(X!4, T), sigma))))))))))),
% 0.22/0.50 inference(modus_ponens,[status(thm)],[84, 83])).
% 0.22/0.50 tff(86,plain,
% 0.22/0.50 (~((~(fragile_position(X!4) | (~((~positional_advantage(X!4, tptp_fun_T_0(X!4))) | (~greater(age(X!4, tptp_fun_T_0(X!4)), sigma)))) | (~((~smaller_or_equal(age(X!4, tptp_fun_T_0(X!4)), sigma)) | positional_advantage(X!4, tptp_fun_T_0(X!4)))))) | (~((~fragile_position(X!4)) | ![T: $i] : (~((~((~smaller_or_equal(age(X!4, T), sigma)) | positional_advantage(X!4, T))) | (~((~positional_advantage(X!4, T)) | (~greater(age(X!4, T), sigma)))))))))),
% 0.22/0.50 inference(unit_resolution,[status(thm)],[85, 79])).
% 0.22/0.50 tff(87,plain,
% 0.22/0.50 (((~(fragile_position(X!4) | (~((~positional_advantage(X!4, tptp_fun_T_0(X!4))) | (~greater(age(X!4, tptp_fun_T_0(X!4)), sigma)))) | (~((~smaller_or_equal(age(X!4, tptp_fun_T_0(X!4)), sigma)) | positional_advantage(X!4, tptp_fun_T_0(X!4)))))) | (~((~fragile_position(X!4)) | ![T: $i] : (~((~((~smaller_or_equal(age(X!4, T), sigma)) | positional_advantage(X!4, T))) | (~((~positional_advantage(X!4, T)) | (~greater(age(X!4, T), sigma))))))))) | ((~fragile_position(X!4)) | ![T: $i] : (~((~((~smaller_or_equal(age(X!4, T), sigma)) | positional_advantage(X!4, T))) | (~((~positional_advantage(X!4, T)) | (~greater(age(X!4, T), sigma)))))))),
% 0.22/0.50 inference(tautology,[status(thm)],[])).
% 0.22/0.50 tff(88,plain,
% 0.22/0.50 ((~fragile_position(X!4)) | ![T: $i] : (~((~((~smaller_or_equal(age(X!4, T), sigma)) | positional_advantage(X!4, T))) | (~((~positional_advantage(X!4, T)) | (~greater(age(X!4, T), sigma))))))),
% 0.22/0.50 inference(unit_resolution,[status(thm)],[87, 86])).
% 0.22/0.50 tff(89,plain,
% 0.22/0.50 (fragile_position(X!4)),
% 0.22/0.50 inference(and_elim,[status(thm)],[10])).
% 0.22/0.50 tff(90,plain,
% 0.22/0.50 ((~((~fragile_position(X!4)) | ![T: $i] : (~((~((~smaller_or_equal(age(X!4, T), sigma)) | positional_advantage(X!4, T))) | (~((~positional_advantage(X!4, T)) | (~greater(age(X!4, T), sigma)))))))) | (~fragile_position(X!4)) | ![T: $i] : (~((~((~smaller_or_equal(age(X!4, T), sigma)) | positional_advantage(X!4, T))) | (~((~positional_advantage(X!4, T)) | (~greater(age(X!4, T), sigma))))))),
% 0.22/0.50 inference(tautology,[status(thm)],[])).
% 0.22/0.50 tff(91,plain,
% 0.22/0.50 ((~((~fragile_position(X!4)) | ![T: $i] : (~((~((~smaller_or_equal(age(X!4, T), sigma)) | positional_advantage(X!4, T))) | (~((~positional_advantage(X!4, T)) | (~greater(age(X!4, T), sigma)))))))) | ![T: $i] : (~((~((~smaller_or_equal(age(X!4, T), sigma)) | positional_advantage(X!4, T))) | (~((~positional_advantage(X!4, T)) | (~greater(age(X!4, T), sigma))))))),
% 0.22/0.50 inference(unit_resolution,[status(thm)],[90, 89])).
% 0.22/0.50 tff(92,plain,
% 0.22/0.50 (![T: $i] : (~((~((~smaller_or_equal(age(X!4, T), sigma)) | positional_advantage(X!4, T))) | (~((~positional_advantage(X!4, T)) | (~greater(age(X!4, T), sigma))))))),
% 0.22/0.50 inference(unit_resolution,[status(thm)],[91, 88])).
% 0.22/0.50 tff(93,plain,
% 0.22/0.50 ((~![T: $i] : (~((~((~smaller_or_equal(age(X!4, T), sigma)) | positional_advantage(X!4, T))) | (~((~positional_advantage(X!4, T)) | (~greater(age(X!4, T), sigma))))))) | (~((~((~smaller_or_equal(age(X!4, T0!3), sigma)) | positional_advantage(X!4, T0!3))) | (~((~positional_advantage(X!4, T0!3)) | (~greater(age(X!4, T0!3), sigma))))))),
% 0.22/0.50 inference(quant_inst,[status(thm)],[])).
% 0.22/0.50 tff(94,plain,
% 0.22/0.50 (~((~((~smaller_or_equal(age(X!4, T0!3), sigma)) | positional_advantage(X!4, T0!3))) | (~((~positional_advantage(X!4, T0!3)) | (~greater(age(X!4, T0!3), sigma)))))),
% 0.22/0.50 inference(unit_resolution,[status(thm)],[93, 92])).
% 0.22/0.50 tff(95,plain,
% 0.22/0.50 (((~((~smaller_or_equal(age(X!4, T0!3), sigma)) | positional_advantage(X!4, T0!3))) | (~((~positional_advantage(X!4, T0!3)) | (~greater(age(X!4, T0!3), sigma))))) | ((~smaller_or_equal(age(X!4, T0!3), sigma)) | positional_advantage(X!4, T0!3))),
% 0.22/0.50 inference(tautology,[status(thm)],[])).
% 0.22/0.50 tff(96,plain,
% 0.22/0.50 ((~smaller_or_equal(age(X!4, T0!3), sigma)) | positional_advantage(X!4, T0!3)),
% 0.22/0.50 inference(unit_resolution,[status(thm)],[95, 94])).
% 0.22/0.50 tff(97,plain,
% 0.22/0.50 (age(X!4, T0!3) = zero),
% 0.22/0.50 inference(and_elim,[status(thm)],[10])).
% 0.22/0.50 tff(98,plain,
% 0.22/0.50 (smaller_or_equal(age(X!4, T0!3), sigma) <=> smaller_or_equal(zero, sigma)),
% 0.22/0.50 inference(monotonicity,[status(thm)],[97])).
% 0.22/0.50 tff(99,plain,
% 0.22/0.50 (smaller_or_equal(zero, sigma) <=> smaller_or_equal(age(X!4, T0!3), sigma)),
% 0.22/0.50 inference(symmetry,[status(thm)],[98])).
% 0.22/0.50 tff(100,plain,
% 0.22/0.50 (^[X: $i, Y: $i] : refl((smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y))) <=> (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y))))),
% 0.22/0.50 inference(bind,[status(th)],[])).
% 0.22/0.50 tff(101,plain,
% 0.22/0.50 (![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y))) <=> ![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))),
% 0.22/0.50 inference(quant_intro,[status(thm)],[100])).
% 0.22/0.50 tff(102,plain,
% 0.22/0.50 (![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y))) <=> ![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))),
% 0.22/0.50 inference(rewrite,[status(thm)],[])).
% 0.22/0.50 tff(103,plain,
% 0.22/0.50 (^[X: $i, Y: $i] : rewrite((smaller_or_equal(X, Y) <=> (smaller(X, Y) | (X = Y))) <=> (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y))))),
% 0.22/0.50 inference(bind,[status(th)],[])).
% 0.22/0.50 tff(104,plain,
% 0.22/0.50 (![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> (smaller(X, Y) | (X = Y))) <=> ![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))),
% 0.22/0.50 inference(quant_intro,[status(thm)],[103])).
% 0.22/0.50 tff(105,axiom,(![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> (smaller(X, Y) | (X = Y)))), file('/export/starexec/sandbox2/benchmark/Axioms/MGT001+0.ax','definition_smaller_or_equal')).
% 0.22/0.50 tff(106,plain,
% 0.22/0.50 (![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))),
% 0.22/0.50 inference(modus_ponens,[status(thm)],[105, 104])).
% 0.22/0.50 tff(107,plain,
% 0.22/0.50 (![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))),
% 0.22/0.50 inference(modus_ponens,[status(thm)],[106, 102])).
% 0.22/0.50 tff(108,plain,(
% 0.22/0.50 ![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))),
% 0.22/0.50 inference(skolemize,[status(sab)],[107])).
% 0.22/0.50 tff(109,plain,
% 0.22/0.50 (![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))),
% 0.22/0.50 inference(modus_ponens,[status(thm)],[108, 101])).
% 0.22/0.50 tff(110,plain,
% 0.22/0.50 ((~![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))) | (smaller_or_equal(zero, sigma) <=> ((zero = sigma) | smaller(zero, sigma)))),
% 0.22/0.50 inference(quant_inst,[status(thm)],[])).
% 0.22/0.50 tff(111,plain,
% 0.22/0.50 (smaller_or_equal(zero, sigma) <=> ((zero = sigma) | smaller(zero, sigma))),
% 0.22/0.50 inference(unit_resolution,[status(thm)],[110, 109])).
% 0.22/0.50 tff(112,plain,
% 0.22/0.50 (^[X: $i, Y: $i] : refl((smaller(X, Y) <=> greater(Y, X)) <=> (smaller(X, Y) <=> greater(Y, X)))),
% 0.22/0.50 inference(bind,[status(th)],[])).
% 0.22/0.50 tff(113,plain,
% 0.22/0.50 (![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X)) <=> ![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))),
% 0.22/0.50 inference(quant_intro,[status(thm)],[112])).
% 0.22/0.50 tff(114,plain,
% 0.22/0.50 (![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X)) <=> ![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))),
% 0.22/0.50 inference(rewrite,[status(thm)],[])).
% 0.22/0.50 tff(115,axiom,(![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))), file('/export/starexec/sandbox2/benchmark/Axioms/MGT001+0.ax','definition_smaller')).
% 0.22/0.50 tff(116,plain,
% 0.22/0.50 (![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))),
% 0.22/0.50 inference(modus_ponens,[status(thm)],[115, 114])).
% 0.22/0.50 tff(117,plain,(
% 0.22/0.50 ![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))),
% 0.22/0.50 inference(skolemize,[status(sab)],[116])).
% 0.22/0.50 tff(118,plain,
% 0.22/0.50 (![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))),
% 0.22/0.50 inference(modus_ponens,[status(thm)],[117, 113])).
% 0.22/0.50 tff(119,plain,
% 0.22/0.50 ((~![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))) | (smaller(zero, sigma) <=> greater(sigma, zero))),
% 0.22/0.50 inference(quant_inst,[status(thm)],[])).
% 0.22/0.50 tff(120,plain,
% 0.22/0.50 (smaller(zero, sigma) <=> greater(sigma, zero)),
% 0.22/0.50 inference(unit_resolution,[status(thm)],[119, 118])).
% 0.22/0.50 tff(121,plain,
% 0.22/0.50 (greater(sigma, zero)),
% 0.22/0.50 inference(and_elim,[status(thm)],[10])).
% 0.22/0.50 tff(122,plain,
% 0.22/0.50 ((~(smaller(zero, sigma) <=> greater(sigma, zero))) | smaller(zero, sigma) | (~greater(sigma, zero))),
% 0.22/0.50 inference(tautology,[status(thm)],[])).
% 0.22/0.50 tff(123,plain,
% 0.22/0.50 ((~(smaller(zero, sigma) <=> greater(sigma, zero))) | smaller(zero, sigma)),
% 0.22/0.50 inference(unit_resolution,[status(thm)],[122, 121])).
% 0.22/0.50 tff(124,plain,
% 0.22/0.50 (smaller(zero, sigma)),
% 0.22/0.50 inference(unit_resolution,[status(thm)],[123, 120])).
% 0.22/0.50 tff(125,plain,
% 0.22/0.50 (((zero = sigma) | smaller(zero, sigma)) | (~smaller(zero, sigma))),
% 0.22/0.50 inference(tautology,[status(thm)],[])).
% 0.22/0.50 tff(126,plain,
% 0.22/0.50 ((zero = sigma) | smaller(zero, sigma)),
% 0.22/0.50 inference(unit_resolution,[status(thm)],[125, 124])).
% 0.22/0.50 tff(127,plain,
% 0.22/0.50 ((~(smaller_or_equal(zero, sigma) <=> ((zero = sigma) | smaller(zero, sigma)))) | smaller_or_equal(zero, sigma) | (~((zero = sigma) | smaller(zero, sigma)))),
% 0.22/0.50 inference(tautology,[status(thm)],[])).
% 0.22/0.50 tff(128,plain,
% 0.22/0.50 ((~(smaller_or_equal(zero, sigma) <=> ((zero = sigma) | smaller(zero, sigma)))) | smaller_or_equal(zero, sigma)),
% 0.22/0.50 inference(unit_resolution,[status(thm)],[127, 126])).
% 0.22/0.50 tff(129,plain,
% 0.22/0.50 (smaller_or_equal(zero, sigma)),
% 0.22/0.50 inference(unit_resolution,[status(thm)],[128, 111])).
% 0.22/0.50 tff(130,plain,
% 0.22/0.50 (smaller_or_equal(age(X!4, T0!3), sigma)),
% 0.22/0.50 inference(modus_ponens,[status(thm)],[129, 99])).
% 0.22/0.50 tff(131,plain,
% 0.22/0.50 ((~((~smaller_or_equal(age(X!4, T0!3), sigma)) | positional_advantage(X!4, T0!3))) | (~smaller_or_equal(age(X!4, T0!3), sigma)) | positional_advantage(X!4, T0!3)),
% 0.22/0.50 inference(tautology,[status(thm)],[])).
% 0.22/0.50 tff(132,plain,
% 0.22/0.50 (positional_advantage(X!4, T0!3)),
% 0.22/0.50 inference(unit_resolution,[status(thm)],[131, 130, 96])).
% 0.22/0.50 tff(133,plain,
% 0.22/0.50 (^[X: $i, T: $i] : refl((is_aligned(X, T) | (~organization(X)) | (~(age(X, T) = zero))) <=> (is_aligned(X, T) | (~organization(X)) | (~(age(X, T) = zero))))),
% 0.22/0.50 inference(bind,[status(th)],[])).
% 0.22/0.50 tff(134,plain,
% 0.22/0.50 (![X: $i, T: $i] : (is_aligned(X, T) | (~organization(X)) | (~(age(X, T) = zero))) <=> ![X: $i, T: $i] : (is_aligned(X, T) | (~organization(X)) | (~(age(X, T) = zero)))),
% 0.22/0.50 inference(quant_intro,[status(thm)],[133])).
% 0.22/0.50 tff(135,plain,
% 0.22/0.50 (^[X: $i, T: $i] : trans(monotonicity(trans(monotonicity(rewrite((organization(X) & (age(X, T) = zero)) <=> (~((~organization(X)) | (~(age(X, T) = zero))))), ((~(organization(X) & (age(X, T) = zero))) <=> (~(~((~organization(X)) | (~(age(X, T) = zero))))))), rewrite((~(~((~organization(X)) | (~(age(X, T) = zero))))) <=> ((~organization(X)) | (~(age(X, T) = zero)))), ((~(organization(X) & (age(X, T) = zero))) <=> ((~organization(X)) | (~(age(X, T) = zero))))), (((~(organization(X) & (age(X, T) = zero))) | is_aligned(X, T)) <=> (((~organization(X)) | (~(age(X, T) = zero))) | is_aligned(X, T)))), rewrite((((~organization(X)) | (~(age(X, T) = zero))) | is_aligned(X, T)) <=> (is_aligned(X, T) | (~organization(X)) | (~(age(X, T) = zero)))), (((~(organization(X) & (age(X, T) = zero))) | is_aligned(X, T)) <=> (is_aligned(X, T) | (~organization(X)) | (~(age(X, T) = zero)))))),
% 0.22/0.50 inference(bind,[status(th)],[])).
% 0.22/0.50 tff(136,plain,
% 0.22/0.50 (![X: $i, T: $i] : ((~(organization(X) & (age(X, T) = zero))) | is_aligned(X, T)) <=> ![X: $i, T: $i] : (is_aligned(X, T) | (~organization(X)) | (~(age(X, T) = zero)))),
% 0.22/0.50 inference(quant_intro,[status(thm)],[135])).
% 0.22/0.50 tff(137,plain,
% 0.22/0.50 (![X: $i, T: $i] : ((~(organization(X) & (age(X, T) = zero))) | is_aligned(X, T)) <=> ![X: $i, T: $i] : ((~(organization(X) & (age(X, T) = zero))) | is_aligned(X, T))),
% 0.22/0.50 inference(rewrite,[status(thm)],[])).
% 0.22/0.50 tff(138,plain,
% 0.22/0.50 (^[X: $i, T: $i] : rewrite(((organization(X) & (age(X, T) = zero)) => is_aligned(X, T)) <=> ((~(organization(X) & (age(X, T) = zero))) | is_aligned(X, T)))),
% 0.22/0.50 inference(bind,[status(th)],[])).
% 0.22/0.50 tff(139,plain,
% 0.22/0.50 (![X: $i, T: $i] : ((organization(X) & (age(X, T) = zero)) => is_aligned(X, T)) <=> ![X: $i, T: $i] : ((~(organization(X) & (age(X, T) = zero))) | is_aligned(X, T))),
% 0.22/0.50 inference(quant_intro,[status(thm)],[138])).
% 0.22/0.50 tff(140,axiom,(![X: $i, T: $i] : ((organization(X) & (age(X, T) = zero)) => is_aligned(X, T))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','assumption_13')).
% 0.22/0.50 tff(141,plain,
% 0.22/0.50 (![X: $i, T: $i] : ((~(organization(X) & (age(X, T) = zero))) | is_aligned(X, T))),
% 0.22/0.50 inference(modus_ponens,[status(thm)],[140, 139])).
% 0.22/0.50 tff(142,plain,
% 0.22/0.50 (![X: $i, T: $i] : ((~(organization(X) & (age(X, T) = zero))) | is_aligned(X, T))),
% 0.22/0.50 inference(modus_ponens,[status(thm)],[141, 137])).
% 0.22/0.50 tff(143,plain,(
% 0.22/0.50 ![X: $i, T: $i] : ((~(organization(X) & (age(X, T) = zero))) | is_aligned(X, T))),
% 0.22/0.50 inference(skolemize,[status(sab)],[142])).
% 0.22/0.50 tff(144,plain,
% 0.22/0.50 (![X: $i, T: $i] : (is_aligned(X, T) | (~organization(X)) | (~(age(X, T) = zero)))),
% 0.22/0.50 inference(modus_ponens,[status(thm)],[143, 136])).
% 0.22/0.50 tff(145,plain,
% 0.22/0.50 (![X: $i, T: $i] : (is_aligned(X, T) | (~organization(X)) | (~(age(X, T) = zero)))),
% 0.22/0.50 inference(modus_ponens,[status(thm)],[144, 134])).
% 0.22/0.50 tff(146,plain,
% 0.22/0.50 (((~![X: $i, T: $i] : (is_aligned(X, T) | (~organization(X)) | (~(age(X, T) = zero)))) | (is_aligned(X!4, T0!3) | (~organization(X!4)) | (~(age(X!4, T0!3) = zero)))) <=> ((~![X: $i, T: $i] : (is_aligned(X, T) | (~organization(X)) | (~(age(X, T) = zero)))) | is_aligned(X!4, T0!3) | (~organization(X!4)) | (~(age(X!4, T0!3) = zero)))),
% 0.22/0.50 inference(rewrite,[status(thm)],[])).
% 0.22/0.50 tff(147,plain,
% 0.22/0.50 ((~![X: $i, T: $i] : (is_aligned(X, T) | (~organization(X)) | (~(age(X, T) = zero)))) | (is_aligned(X!4, T0!3) | (~organization(X!4)) | (~(age(X!4, T0!3) = zero)))),
% 0.22/0.50 inference(quant_inst,[status(thm)],[])).
% 0.22/0.50 tff(148,plain,
% 0.22/0.50 ((~![X: $i, T: $i] : (is_aligned(X, T) | (~organization(X)) | (~(age(X, T) = zero)))) | is_aligned(X!4, T0!3) | (~organization(X!4)) | (~(age(X!4, T0!3) = zero))),
% 0.22/0.50 inference(modus_ponens,[status(thm)],[147, 146])).
% 0.22/0.50 tff(149,plain,
% 0.22/0.50 (is_aligned(X!4, T0!3)),
% 0.22/0.50 inference(unit_resolution,[status(thm)],[148, 145, 12, 97])).
% 0.22/0.50 tff(150,plain,
% 0.22/0.50 ((~((~positional_advantage(X!4, T0!3)) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = low))) | (~positional_advantage(X!4, T0!3)) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = low)),
% 0.22/0.50 inference(tautology,[status(thm)],[])).
% 0.22/0.50 tff(151,plain,
% 0.22/0.50 ((~((~positional_advantage(X!4, T0!3)) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = low))) | (~positional_advantage(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = low)),
% 0.22/0.50 inference(unit_resolution,[status(thm)],[150, 149])).
% 0.22/0.50 tff(152,plain,
% 0.22/0.50 ((~((~positional_advantage(X!4, T0!3)) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = low))) | (hazard_of_mortality(X!4, T0!3) = low)),
% 0.22/0.50 inference(unit_resolution,[status(thm)],[151, 132])).
% 0.22/0.50 tff(153,plain,
% 0.22/0.50 (hazard_of_mortality(X!4, T0!3) = low),
% 0.22/0.50 inference(unit_resolution,[status(thm)],[152, 60])).
% 0.22/0.50 tff(154,plain,
% 0.22/0.50 ((hazard_of_mortality(X!4, T1!2) = hazard_of_mortality(X!4, T0!3)) <=> (hazard_of_mortality(X!4, T1!2) = low)),
% 0.22/0.50 inference(monotonicity,[status(thm)],[153])).
% 0.22/0.50 tff(155,plain,
% 0.22/0.50 ((hazard_of_mortality(X!4, T1!2) = low) <=> (hazard_of_mortality(X!4, T1!2) = hazard_of_mortality(X!4, T0!3))),
% 0.22/0.50 inference(symmetry,[status(thm)],[154])).
% 0.22/0.50 tff(156,plain,
% 0.22/0.50 (^[X: $i, T0: $i, T: $i] : refl((~(((~organization(X)) | (is_aligned(X, T0) <=> is_aligned(X, T))) <=> dissimilar(X, T0, T))) <=> (~(((~organization(X)) | (is_aligned(X, T0) <=> is_aligned(X, T))) <=> dissimilar(X, T0, T))))),
% 0.22/0.50 inference(bind,[status(th)],[])).
% 0.22/0.50 tff(157,plain,
% 0.22/0.50 (![X: $i, T0: $i, T: $i] : (~(((~organization(X)) | (is_aligned(X, T0) <=> is_aligned(X, T))) <=> dissimilar(X, T0, T))) <=> ![X: $i, T0: $i, T: $i] : (~(((~organization(X)) | (is_aligned(X, T0) <=> is_aligned(X, T))) <=> dissimilar(X, T0, T)))),
% 0.22/0.51 inference(quant_intro,[status(thm)],[156])).
% 0.22/0.51 tff(158,plain,
% 0.22/0.51 (^[X: $i, T0: $i, T: $i] : trans(trans(monotonicity(trans(monotonicity(rewrite((~(is_aligned(X, T0) <=> is_aligned(X, T))) <=> (~(is_aligned(X, T0) <=> is_aligned(X, T)))), ((organization(X) & (~(is_aligned(X, T0) <=> is_aligned(X, T)))) <=> (organization(X) & (~(is_aligned(X, T0) <=> is_aligned(X, T)))))), rewrite((organization(X) & (~(is_aligned(X, T0) <=> is_aligned(X, T)))) <=> (~((~organization(X)) | (is_aligned(X, T0) <=> is_aligned(X, T))))), ((organization(X) & (~(is_aligned(X, T0) <=> is_aligned(X, T)))) <=> (~((~organization(X)) | (is_aligned(X, T0) <=> is_aligned(X, T)))))), ((dissimilar(X, T0, T) <=> (organization(X) & (~(is_aligned(X, T0) <=> is_aligned(X, T))))) <=> (dissimilar(X, T0, T) <=> (~((~organization(X)) | (is_aligned(X, T0) <=> is_aligned(X, T))))))), rewrite((dissimilar(X, T0, T) <=> (~((~organization(X)) | (is_aligned(X, T0) <=> is_aligned(X, T))))) <=> (~(((~organization(X)) | (is_aligned(X, T0) <=> is_aligned(X, T))) <=> dissimilar(X, T0, T)))), ((dissimilar(X, T0, T) <=> (organization(X) & (~(is_aligned(X, T0) <=> is_aligned(X, T))))) <=> (~(((~organization(X)) | (is_aligned(X, T0) <=> is_aligned(X, T))) <=> dissimilar(X, T0, T))))), rewrite((~(((~organization(X)) | (is_aligned(X, T0) <=> is_aligned(X, T))) <=> dissimilar(X, T0, T))) <=> (~(((~organization(X)) | (is_aligned(X, T0) <=> is_aligned(X, T))) <=> dissimilar(X, T0, T)))), ((dissimilar(X, T0, T) <=> (organization(X) & (~(is_aligned(X, T0) <=> is_aligned(X, T))))) <=> (~(((~organization(X)) | (is_aligned(X, T0) <=> is_aligned(X, T))) <=> dissimilar(X, T0, T)))))),
% 0.22/0.51 inference(bind,[status(th)],[])).
% 0.22/0.51 tff(159,plain,
% 0.22/0.51 (![X: $i, T0: $i, T: $i] : (dissimilar(X, T0, T) <=> (organization(X) & (~(is_aligned(X, T0) <=> is_aligned(X, T))))) <=> ![X: $i, T0: $i, T: $i] : (~(((~organization(X)) | (is_aligned(X, T0) <=> is_aligned(X, T))) <=> dissimilar(X, T0, T)))),
% 0.22/0.51 inference(quant_intro,[status(thm)],[158])).
% 0.22/0.51 tff(160,plain,
% 0.22/0.51 (![X: $i, T0: $i, T: $i] : (dissimilar(X, T0, T) <=> (organization(X) & (~(is_aligned(X, T0) <=> is_aligned(X, T))))) <=> ![X: $i, T0: $i, T: $i] : (dissimilar(X, T0, T) <=> (organization(X) & (~(is_aligned(X, T0) <=> is_aligned(X, T)))))),
% 0.22/0.51 inference(rewrite,[status(thm)],[])).
% 0.22/0.51 tff(161,axiom,(![X: $i, T0: $i, T: $i] : (dissimilar(X, T0, T) <=> (organization(X) & (~(is_aligned(X, T0) <=> is_aligned(X, T)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','definition_2')).
% 0.22/0.51 tff(162,plain,
% 0.22/0.51 (![X: $i, T0: $i, T: $i] : (dissimilar(X, T0, T) <=> (organization(X) & (~(is_aligned(X, T0) <=> is_aligned(X, T)))))),
% 0.22/0.51 inference(modus_ponens,[status(thm)],[161, 160])).
% 0.22/0.51 tff(163,plain,(
% 0.22/0.51 ![X: $i, T0: $i, T: $i] : (dissimilar(X, T0, T) <=> (organization(X) & (~(is_aligned(X, T0) <=> is_aligned(X, T)))))),
% 0.22/0.51 inference(skolemize,[status(sab)],[162])).
% 0.22/0.51 tff(164,plain,
% 0.22/0.51 (![X: $i, T0: $i, T: $i] : (~(((~organization(X)) | (is_aligned(X, T0) <=> is_aligned(X, T))) <=> dissimilar(X, T0, T)))),
% 0.22/0.51 inference(modus_ponens,[status(thm)],[163, 159])).
% 0.22/0.51 tff(165,plain,
% 0.22/0.51 (![X: $i, T0: $i, T: $i] : (~(((~organization(X)) | (is_aligned(X, T0) <=> is_aligned(X, T))) <=> dissimilar(X, T0, T)))),
% 0.22/0.51 inference(modus_ponens,[status(thm)],[164, 157])).
% 0.22/0.51 tff(166,plain,
% 0.22/0.51 ((~![X: $i, T0: $i, T: $i] : (~(((~organization(X)) | (is_aligned(X, T0) <=> is_aligned(X, T))) <=> dissimilar(X, T0, T)))) | (~(((~organization(X!4)) | (is_aligned(X!4, T0!3) <=> is_aligned(X!4, T1!2))) <=> dissimilar(X!4, T0!3, T1!2)))),
% 0.22/0.51 inference(quant_inst,[status(thm)],[])).
% 0.22/0.51 tff(167,plain,
% 0.22/0.51 (~(((~organization(X!4)) | (is_aligned(X!4, T0!3) <=> is_aligned(X!4, T1!2))) <=> dissimilar(X!4, T0!3, T1!2))),
% 0.22/0.51 inference(unit_resolution,[status(thm)],[166, 165])).
% 0.22/0.51 tff(168,plain,
% 0.22/0.51 (^[X: $i, T0: $i, T: $i] : refl(((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero))) <=> ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero))))),
% 0.22/0.51 inference(bind,[status(th)],[])).
% 0.22/0.51 tff(169,plain,
% 0.22/0.51 (![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero))) <=> ![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))),
% 0.22/0.51 inference(quant_intro,[status(thm)],[168])).
% 0.22/0.51 tff(170,plain,
% 0.22/0.51 (^[X: $i, T0: $i, T: $i] : trans(monotonicity(trans(monotonicity(rewrite((organization(X) & (age(X, T0) = zero)) <=> (~((~organization(X)) | (~(age(X, T0) = zero))))), ((~(organization(X) & (age(X, T0) = zero))) <=> (~(~((~organization(X)) | (~(age(X, T0) = zero))))))), rewrite((~(~((~organization(X)) | (~(age(X, T0) = zero))))) <=> ((~organization(X)) | (~(age(X, T0) = zero)))), ((~(organization(X) & (age(X, T0) = zero))) <=> ((~organization(X)) | (~(age(X, T0) = zero))))), (((~(organization(X) & (age(X, T0) = zero))) | (greater(age(X, T), sigma) <=> dissimilar(X, T0, T))) <=> (((~organization(X)) | (~(age(X, T0) = zero))) | (greater(age(X, T), sigma) <=> dissimilar(X, T0, T))))), rewrite((((~organization(X)) | (~(age(X, T0) = zero))) | (greater(age(X, T), sigma) <=> dissimilar(X, T0, T))) <=> ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))), (((~(organization(X) & (age(X, T0) = zero))) | (greater(age(X, T), sigma) <=> dissimilar(X, T0, T))) <=> ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))))),
% 0.22/0.51 inference(bind,[status(th)],[])).
% 0.22/0.51 tff(171,plain,
% 0.22/0.51 (![X: $i, T0: $i, T: $i] : ((~(organization(X) & (age(X, T0) = zero))) | (greater(age(X, T), sigma) <=> dissimilar(X, T0, T))) <=> ![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))),
% 0.22/0.51 inference(quant_intro,[status(thm)],[170])).
% 0.22/0.51 tff(172,plain,
% 0.22/0.51 (![X: $i, T0: $i, T: $i] : ((~(organization(X) & (age(X, T0) = zero))) | (greater(age(X, T), sigma) <=> dissimilar(X, T0, T))) <=> ![X: $i, T0: $i, T: $i] : ((~(organization(X) & (age(X, T0) = zero))) | (greater(age(X, T), sigma) <=> dissimilar(X, T0, T)))),
% 0.22/0.51 inference(rewrite,[status(thm)],[])).
% 0.22/0.51 tff(173,plain,
% 0.22/0.51 (^[X: $i, T0: $i, T: $i] : rewrite(((organization(X) & (age(X, T0) = zero)) => (greater(age(X, T), sigma) <=> dissimilar(X, T0, T))) <=> ((~(organization(X) & (age(X, T0) = zero))) | (greater(age(X, T), sigma) <=> dissimilar(X, T0, T))))),
% 0.22/0.51 inference(bind,[status(th)],[])).
% 0.22/0.51 tff(174,plain,
% 0.22/0.51 (![X: $i, T0: $i, T: $i] : ((organization(X) & (age(X, T0) = zero)) => (greater(age(X, T), sigma) <=> dissimilar(X, T0, T))) <=> ![X: $i, T0: $i, T: $i] : ((~(organization(X) & (age(X, T0) = zero))) | (greater(age(X, T), sigma) <=> dissimilar(X, T0, T)))),
% 0.22/0.51 inference(quant_intro,[status(thm)],[173])).
% 0.22/0.51 tff(175,axiom,(![X: $i, T0: $i, T: $i] : ((organization(X) & (age(X, T0) = zero)) => (greater(age(X, T), sigma) <=> dissimilar(X, T0, T)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','assumption_15')).
% 0.22/0.51 tff(176,plain,
% 0.22/0.51 (![X: $i, T0: $i, T: $i] : ((~(organization(X) & (age(X, T0) = zero))) | (greater(age(X, T), sigma) <=> dissimilar(X, T0, T)))),
% 0.22/0.51 inference(modus_ponens,[status(thm)],[175, 174])).
% 0.22/0.51 tff(177,plain,
% 0.22/0.51 (![X: $i, T0: $i, T: $i] : ((~(organization(X) & (age(X, T0) = zero))) | (greater(age(X, T), sigma) <=> dissimilar(X, T0, T)))),
% 0.22/0.51 inference(modus_ponens,[status(thm)],[176, 172])).
% 0.22/0.51 tff(178,plain,(
% 0.22/0.51 ![X: $i, T0: $i, T: $i] : ((~(organization(X) & (age(X, T0) = zero))) | (greater(age(X, T), sigma) <=> dissimilar(X, T0, T)))),
% 0.22/0.51 inference(skolemize,[status(sab)],[177])).
% 0.22/0.51 tff(179,plain,
% 0.22/0.51 (![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))),
% 0.22/0.51 inference(modus_ponens,[status(thm)],[178, 171])).
% 0.22/0.51 tff(180,plain,
% 0.22/0.51 (![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))),
% 0.22/0.51 inference(modus_ponens,[status(thm)],[179, 169])).
% 0.22/0.51 tff(181,plain,
% 0.22/0.51 (((~![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))) | ((~organization(X!4)) | (~(age(X!4, T0!3) = zero)) | (greater(age(X!4, T1!2), sigma) <=> dissimilar(X!4, T0!3, T1!2)))) <=> ((~![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))) | (~organization(X!4)) | (~(age(X!4, T0!3) = zero)) | (greater(age(X!4, T1!2), sigma) <=> dissimilar(X!4, T0!3, T1!2)))),
% 0.22/0.51 inference(rewrite,[status(thm)],[])).
% 0.22/0.51 tff(182,plain,
% 0.22/0.51 (((greater(age(X!4, T1!2), sigma) <=> dissimilar(X!4, T0!3, T1!2)) | (~organization(X!4)) | (~(age(X!4, T0!3) = zero))) <=> ((~organization(X!4)) | (~(age(X!4, T0!3) = zero)) | (greater(age(X!4, T1!2), sigma) <=> dissimilar(X!4, T0!3, T1!2)))),
% 0.22/0.51 inference(rewrite,[status(thm)],[])).
% 0.22/0.51 tff(183,plain,
% 0.22/0.51 (((~![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))) | ((greater(age(X!4, T1!2), sigma) <=> dissimilar(X!4, T0!3, T1!2)) | (~organization(X!4)) | (~(age(X!4, T0!3) = zero)))) <=> ((~![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))) | ((~organization(X!4)) | (~(age(X!4, T0!3) = zero)) | (greater(age(X!4, T1!2), sigma) <=> dissimilar(X!4, T0!3, T1!2))))),
% 0.22/0.51 inference(monotonicity,[status(thm)],[182])).
% 0.22/0.51 tff(184,plain,
% 0.22/0.51 (((~![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))) | ((greater(age(X!4, T1!2), sigma) <=> dissimilar(X!4, T0!3, T1!2)) | (~organization(X!4)) | (~(age(X!4, T0!3) = zero)))) <=> ((~![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))) | (~organization(X!4)) | (~(age(X!4, T0!3) = zero)) | (greater(age(X!4, T1!2), sigma) <=> dissimilar(X!4, T0!3, T1!2)))),
% 0.22/0.51 inference(transitivity,[status(thm)],[183, 181])).
% 0.22/0.51 tff(185,plain,
% 0.22/0.51 ((~![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))) | ((greater(age(X!4, T1!2), sigma) <=> dissimilar(X!4, T0!3, T1!2)) | (~organization(X!4)) | (~(age(X!4, T0!3) = zero)))),
% 0.22/0.51 inference(quant_inst,[status(thm)],[])).
% 0.22/0.51 tff(186,plain,
% 0.22/0.51 ((~![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))) | (~organization(X!4)) | (~(age(X!4, T0!3) = zero)) | (greater(age(X!4, T1!2), sigma) <=> dissimilar(X!4, T0!3, T1!2))),
% 0.22/0.51 inference(modus_ponens,[status(thm)],[185, 184])).
% 0.22/0.51 tff(187,plain,
% 0.22/0.51 (greater(age(X!4, T1!2), sigma) <=> dissimilar(X!4, T0!3, T1!2)),
% 0.22/0.51 inference(unit_resolution,[status(thm)],[186, 180, 12, 97])).
% 0.22/0.51 tff(188,plain,
% 0.22/0.51 ((~![T: $i] : (~((~((~smaller_or_equal(age(X!4, T), sigma)) | positional_advantage(X!4, T))) | (~((~positional_advantage(X!4, T)) | (~greater(age(X!4, T), sigma))))))) | (~((~((~smaller_or_equal(age(X!4, T1!2), sigma)) | positional_advantage(X!4, T1!2))) | (~((~positional_advantage(X!4, T1!2)) | (~greater(age(X!4, T1!2), sigma))))))),
% 0.22/0.51 inference(quant_inst,[status(thm)],[])).
% 0.22/0.51 tff(189,plain,
% 0.22/0.51 (~((~((~smaller_or_equal(age(X!4, T1!2), sigma)) | positional_advantage(X!4, T1!2))) | (~((~positional_advantage(X!4, T1!2)) | (~greater(age(X!4, T1!2), sigma)))))),
% 0.22/0.51 inference(unit_resolution,[status(thm)],[188, 92])).
% 0.22/0.51 tff(190,plain,
% 0.22/0.51 (((~((~smaller_or_equal(age(X!4, T1!2), sigma)) | positional_advantage(X!4, T1!2))) | (~((~positional_advantage(X!4, T1!2)) | (~greater(age(X!4, T1!2), sigma))))) | ((~positional_advantage(X!4, T1!2)) | (~greater(age(X!4, T1!2), sigma)))),
% 0.22/0.51 inference(tautology,[status(thm)],[])).
% 0.22/0.51 tff(191,plain,
% 0.22/0.51 ((~positional_advantage(X!4, T1!2)) | (~greater(age(X!4, T1!2), sigma))),
% 0.22/0.51 inference(unit_resolution,[status(thm)],[190, 189])).
% 0.22/0.51 tff(192,plain,
% 0.22/0.51 (((~((~smaller_or_equal(age(X!4, T1!2), sigma)) | positional_advantage(X!4, T1!2))) | (~((~positional_advantage(X!4, T1!2)) | (~greater(age(X!4, T1!2), sigma))))) | ((~smaller_or_equal(age(X!4, T1!2), sigma)) | positional_advantage(X!4, T1!2))),
% 0.22/0.51 inference(tautology,[status(thm)],[])).
% 0.22/0.51 tff(193,plain,
% 0.22/0.51 ((~smaller_or_equal(age(X!4, T1!2), sigma)) | positional_advantage(X!4, T1!2)),
% 0.22/0.51 inference(unit_resolution,[status(thm)],[192, 189])).
% 0.22/0.51 tff(194,plain,
% 0.22/0.51 (smaller_or_equal(age(X!4, T1!2), sigma)),
% 0.22/0.51 inference(and_elim,[status(thm)],[10])).
% 0.22/0.51 tff(195,plain,
% 0.22/0.51 ((~((~smaller_or_equal(age(X!4, T1!2), sigma)) | positional_advantage(X!4, T1!2))) | (~smaller_or_equal(age(X!4, T1!2), sigma)) | positional_advantage(X!4, T1!2)),
% 0.22/0.51 inference(tautology,[status(thm)],[])).
% 0.22/0.51 tff(196,plain,
% 0.22/0.51 ((~((~smaller_or_equal(age(X!4, T1!2), sigma)) | positional_advantage(X!4, T1!2))) | positional_advantage(X!4, T1!2)),
% 0.22/0.51 inference(unit_resolution,[status(thm)],[195, 194])).
% 0.22/0.51 tff(197,plain,
% 0.22/0.51 (positional_advantage(X!4, T1!2)),
% 0.22/0.51 inference(unit_resolution,[status(thm)],[196, 193])).
% 0.22/0.51 tff(198,plain,
% 0.22/0.51 ((~((~positional_advantage(X!4, T1!2)) | (~greater(age(X!4, T1!2), sigma)))) | (~positional_advantage(X!4, T1!2)) | (~greater(age(X!4, T1!2), sigma))),
% 0.22/0.51 inference(tautology,[status(thm)],[])).
% 0.22/0.51 tff(199,plain,
% 0.22/0.51 (~greater(age(X!4, T1!2), sigma)),
% 0.22/0.51 inference(unit_resolution,[status(thm)],[198, 197, 191])).
% 0.22/0.51 tff(200,plain,
% 0.22/0.51 ((~(greater(age(X!4, T1!2), sigma) <=> dissimilar(X!4, T0!3, T1!2))) | greater(age(X!4, T1!2), sigma) | (~dissimilar(X!4, T0!3, T1!2))),
% 0.22/0.51 inference(tautology,[status(thm)],[])).
% 0.22/0.51 tff(201,plain,
% 0.22/0.51 ((~(greater(age(X!4, T1!2), sigma) <=> dissimilar(X!4, T0!3, T1!2))) | (~dissimilar(X!4, T0!3, T1!2))),
% 0.22/0.51 inference(unit_resolution,[status(thm)],[200, 199])).
% 0.22/0.51 tff(202,plain,
% 0.22/0.51 (~dissimilar(X!4, T0!3, T1!2)),
% 0.22/0.51 inference(unit_resolution,[status(thm)],[201, 187])).
% 0.22/0.51 tff(203,plain,
% 0.22/0.51 ((((~organization(X!4)) | (is_aligned(X!4, T0!3) <=> is_aligned(X!4, T1!2))) <=> dissimilar(X!4, T0!3, T1!2)) | ((~organization(X!4)) | (is_aligned(X!4, T0!3) <=> is_aligned(X!4, T1!2))) | dissimilar(X!4, T0!3, T1!2)),
% 0.22/0.51 inference(tautology,[status(thm)],[])).
% 0.22/0.51 tff(204,plain,
% 0.22/0.51 ((((~organization(X!4)) | (is_aligned(X!4, T0!3) <=> is_aligned(X!4, T1!2))) <=> dissimilar(X!4, T0!3, T1!2)) | ((~organization(X!4)) | (is_aligned(X!4, T0!3) <=> is_aligned(X!4, T1!2)))),
% 0.22/0.51 inference(unit_resolution,[status(thm)],[203, 202])).
% 0.22/0.51 tff(205,plain,
% 0.22/0.51 ((~organization(X!4)) | (is_aligned(X!4, T0!3) <=> is_aligned(X!4, T1!2))),
% 0.22/0.51 inference(unit_resolution,[status(thm)],[204, 167])).
% 0.22/0.51 tff(206,plain,
% 0.22/0.51 ((~((~organization(X!4)) | (is_aligned(X!4, T0!3) <=> is_aligned(X!4, T1!2)))) | (~organization(X!4)) | (is_aligned(X!4, T0!3) <=> is_aligned(X!4, T1!2))),
% 0.22/0.51 inference(tautology,[status(thm)],[])).
% 0.22/0.51 tff(207,plain,
% 0.22/0.51 ((~((~organization(X!4)) | (is_aligned(X!4, T0!3) <=> is_aligned(X!4, T1!2)))) | (is_aligned(X!4, T0!3) <=> is_aligned(X!4, T1!2))),
% 0.22/0.51 inference(unit_resolution,[status(thm)],[206, 12])).
% 0.22/0.51 tff(208,plain,
% 0.22/0.51 (is_aligned(X!4, T0!3) <=> is_aligned(X!4, T1!2)),
% 0.22/0.51 inference(unit_resolution,[status(thm)],[207, 205])).
% 0.22/0.51 tff(209,plain,
% 0.22/0.51 ((~(is_aligned(X!4, T0!3) <=> is_aligned(X!4, T1!2))) | (~is_aligned(X!4, T0!3)) | is_aligned(X!4, T1!2)),
% 0.22/0.51 inference(tautology,[status(thm)],[])).
% 0.22/0.51 tff(210,plain,
% 0.22/0.51 ((~(is_aligned(X!4, T0!3) <=> is_aligned(X!4, T1!2))) | is_aligned(X!4, T1!2)),
% 0.22/0.51 inference(unit_resolution,[status(thm)],[209, 149])).
% 0.22/0.51 tff(211,plain,
% 0.22/0.51 (is_aligned(X!4, T1!2)),
% 0.22/0.51 inference(unit_resolution,[status(thm)],[210, 208])).
% 0.22/0.51 tff(212,assumption,(has_immunity(X!4, T1!2)), introduced(assumption)).
% 0.22/0.51 tff(213,plain,
% 0.22/0.51 (((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | (has_endowment(X!4) | (~organization(X!4)) | (~has_immunity(X!4, T1!2)))) <=> ((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | has_endowment(X!4) | (~organization(X!4)) | (~has_immunity(X!4, T1!2)))),
% 0.22/0.51 inference(rewrite,[status(thm)],[])).
% 0.22/0.51 tff(214,plain,
% 0.22/0.51 (((~has_immunity(X!4, T1!2)) | has_endowment(X!4) | (~organization(X!4))) <=> (has_endowment(X!4) | (~organization(X!4)) | (~has_immunity(X!4, T1!2)))),
% 0.22/0.51 inference(rewrite,[status(thm)],[])).
% 0.22/0.51 tff(215,plain,
% 0.22/0.52 (((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | ((~has_immunity(X!4, T1!2)) | has_endowment(X!4) | (~organization(X!4)))) <=> ((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | (has_endowment(X!4) | (~organization(X!4)) | (~has_immunity(X!4, T1!2))))),
% 0.22/0.52 inference(monotonicity,[status(thm)],[214])).
% 0.22/0.52 tff(216,plain,
% 0.22/0.52 (((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | ((~has_immunity(X!4, T1!2)) | has_endowment(X!4) | (~organization(X!4)))) <=> ((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | has_endowment(X!4) | (~organization(X!4)) | (~has_immunity(X!4, T1!2)))),
% 0.22/0.52 inference(transitivity,[status(thm)],[215, 213])).
% 0.22/0.52 tff(217,plain,
% 0.22/0.52 ((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | ((~has_immunity(X!4, T1!2)) | has_endowment(X!4) | (~organization(X!4)))),
% 0.22/0.52 inference(quant_inst,[status(thm)],[])).
% 0.22/0.52 tff(218,plain,
% 0.22/0.52 ((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | has_endowment(X!4) | (~organization(X!4)) | (~has_immunity(X!4, T1!2))),
% 0.22/0.52 inference(modus_ponens,[status(thm)],[217, 216])).
% 0.22/0.52 tff(219,plain,
% 0.22/0.52 ($false),
% 0.22/0.52 inference(unit_resolution,[status(thm)],[218, 25, 12, 11, 212])).
% 0.22/0.52 tff(220,plain,(~has_immunity(X!4, T1!2)), inference(lemma,lemma(discharge,[]))).
% 0.22/0.52 tff(221,plain,
% 0.22/0.52 (((~![X: $i, T: $i] : ((~organization(X)) | (~((~((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low))) | (~(has_immunity(X, T) | (~((~((~positional_advantage(X, T)) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = low))) | (~((~positional_advantage(X, T)) | is_aligned(X, T) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(positional_advantage(X, T) | is_aligned(X, T) | (hazard_of_mortality(X, T) = high))))))))))) | ((~organization(X!4)) | (~((~((~has_immunity(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = very_low))) | (~(has_immunity(X!4, T1!2) | (~((~((~positional_advantage(X!4, T1!2)) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = low))) | (~((~positional_advantage(X!4, T1!2)) | is_aligned(X!4, T1!2) | (hazard_of_mortality(X!4, T1!2) = mod1))) | (~(positional_advantage(X!4, T1!2) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = mod2))) | (~(is_aligned(X!4, T1!2) | positional_advantage(X!4, T1!2) | (hazard_of_mortality(X!4, T1!2) = high))))))))))) <=> ((~![X: $i, T: $i] : ((~organization(X)) | (~((~((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low))) | (~(has_immunity(X, T) | (~((~((~positional_advantage(X, T)) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = low))) | (~((~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!4)) | (~((~((~has_immunity(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = very_low))) | (~(has_immunity(X!4, T1!2) | (~((~((~positional_advantage(X!4, T1!2)) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = low))) | (~((~positional_advantage(X!4, T1!2)) | is_aligned(X!4, T1!2) | (hazard_of_mortality(X!4, T1!2) = mod1))) | (~(positional_advantage(X!4, T1!2) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = mod2))) | (~(is_aligned(X!4, T1!2) | positional_advantage(X!4, T1!2) | (hazard_of_mortality(X!4, T1!2) = high))))))))))),
% 0.22/0.52 inference(rewrite,[status(thm)],[])).
% 0.22/0.52 tff(222,plain,
% 0.22/0.52 (((~organization(X!4)) | (~((~((~has_immunity(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = very_low))) | (~(has_immunity(X!4, T1!2) | (~((~((~positional_advantage(X!4, T1!2)) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = low))) | (~((~positional_advantage(X!4, T1!2)) | is_aligned(X!4, T1!2) | (hazard_of_mortality(X!4, T1!2) = mod1))) | (~(positional_advantage(X!4, T1!2) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = mod2))) | (~(positional_advantage(X!4, T1!2) | is_aligned(X!4, T1!2) | (hazard_of_mortality(X!4, T1!2) = high)))))))))) <=> ((~organization(X!4)) | (~((~((~has_immunity(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = very_low))) | (~(has_immunity(X!4, T1!2) | (~((~((~positional_advantage(X!4, T1!2)) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = low))) | (~((~positional_advantage(X!4, T1!2)) | is_aligned(X!4, T1!2) | (hazard_of_mortality(X!4, T1!2) = mod1))) | (~(positional_advantage(X!4, T1!2) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = mod2))) | (~(is_aligned(X!4, T1!2) | positional_advantage(X!4, T1!2) | (hazard_of_mortality(X!4, T1!2) = high))))))))))),
% 0.22/0.52 inference(rewrite,[status(thm)],[])).
% 0.22/0.52 tff(223,plain,
% 0.22/0.52 (((~![X: $i, T: $i] : ((~organization(X)) | (~((~((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low))) | (~(has_immunity(X, T) | (~((~((~positional_advantage(X, T)) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = low))) | (~((~positional_advantage(X, T)) | is_aligned(X, T) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(positional_advantage(X, T) | is_aligned(X, T) | (hazard_of_mortality(X, T) = high))))))))))) | ((~organization(X!4)) | (~((~((~has_immunity(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = very_low))) | (~(has_immunity(X!4, T1!2) | (~((~((~positional_advantage(X!4, T1!2)) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = low))) | (~((~positional_advantage(X!4, T1!2)) | is_aligned(X!4, T1!2) | (hazard_of_mortality(X!4, T1!2) = mod1))) | (~(positional_advantage(X!4, T1!2) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = mod2))) | (~(positional_advantage(X!4, T1!2) | is_aligned(X!4, T1!2) | (hazard_of_mortality(X!4, T1!2) = high))))))))))) <=> ((~![X: $i, T: $i] : ((~organization(X)) | (~((~((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low))) | (~(has_immunity(X, T) | (~((~((~positional_advantage(X, T)) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = low))) | (~((~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!4)) | (~((~((~has_immunity(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = very_low))) | (~(has_immunity(X!4, T1!2) | (~((~((~positional_advantage(X!4, T1!2)) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = low))) | (~((~positional_advantage(X!4, T1!2)) | is_aligned(X!4, T1!2) | (hazard_of_mortality(X!4, T1!2) = mod1))) | (~(positional_advantage(X!4, T1!2) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = mod2))) | (~(is_aligned(X!4, T1!2) | positional_advantage(X!4, T1!2) | (hazard_of_mortality(X!4, T1!2) = high)))))))))))),
% 0.22/0.52 inference(monotonicity,[status(thm)],[222])).
% 0.22/0.52 tff(224,plain,
% 0.22/0.52 (((~![X: $i, T: $i] : ((~organization(X)) | (~((~((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low))) | (~(has_immunity(X, T) | (~((~((~positional_advantage(X, T)) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = low))) | (~((~positional_advantage(X, T)) | is_aligned(X, T) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(positional_advantage(X, T) | is_aligned(X, T) | (hazard_of_mortality(X, T) = high))))))))))) | ((~organization(X!4)) | (~((~((~has_immunity(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = very_low))) | (~(has_immunity(X!4, T1!2) | (~((~((~positional_advantage(X!4, T1!2)) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = low))) | (~((~positional_advantage(X!4, T1!2)) | is_aligned(X!4, T1!2) | (hazard_of_mortality(X!4, T1!2) = mod1))) | (~(positional_advantage(X!4, T1!2) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = mod2))) | (~(positional_advantage(X!4, T1!2) | is_aligned(X!4, T1!2) | (hazard_of_mortality(X!4, T1!2) = high))))))))))) <=> ((~![X: $i, T: $i] : ((~organization(X)) | (~((~((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low))) | (~(has_immunity(X, T) | (~((~((~positional_advantage(X, T)) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = low))) | (~((~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!4)) | (~((~((~has_immunity(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = very_low))) | (~(has_immunity(X!4, T1!2) | (~((~((~positional_advantage(X!4, T1!2)) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = low))) | (~((~positional_advantage(X!4, T1!2)) | is_aligned(X!4, T1!2) | (hazard_of_mortality(X!4, T1!2) = mod1))) | (~(positional_advantage(X!4, T1!2) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = mod2))) | (~(is_aligned(X!4, T1!2) | positional_advantage(X!4, T1!2) | (hazard_of_mortality(X!4, T1!2) = high))))))))))),
% 0.22/0.52 inference(transitivity,[status(thm)],[223, 221])).
% 0.22/0.52 tff(225,plain,
% 0.22/0.52 ((~![X: $i, T: $i] : ((~organization(X)) | (~((~((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low))) | (~(has_immunity(X, T) | (~((~((~positional_advantage(X, T)) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = low))) | (~((~positional_advantage(X, T)) | is_aligned(X, T) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(positional_advantage(X, T) | is_aligned(X, T) | (hazard_of_mortality(X, T) = high))))))))))) | ((~organization(X!4)) | (~((~((~has_immunity(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = very_low))) | (~(has_immunity(X!4, T1!2) | (~((~((~positional_advantage(X!4, T1!2)) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = low))) | (~((~positional_advantage(X!4, T1!2)) | is_aligned(X!4, T1!2) | (hazard_of_mortality(X!4, T1!2) = mod1))) | (~(positional_advantage(X!4, T1!2) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = mod2))) | (~(positional_advantage(X!4, T1!2) | is_aligned(X!4, T1!2) | (hazard_of_mortality(X!4, T1!2) = high))))))))))),
% 0.22/0.52 inference(quant_inst,[status(thm)],[])).
% 0.22/0.52 tff(226,plain,
% 0.22/0.52 ((~![X: $i, T: $i] : ((~organization(X)) | (~((~((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low))) | (~(has_immunity(X, T) | (~((~((~positional_advantage(X, T)) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = low))) | (~((~positional_advantage(X, T)) | is_aligned(X, T) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(positional_advantage(X, T) | is_aligned(X, T) | (hazard_of_mortality(X, T) = high))))))))))) | (~organization(X!4)) | (~((~((~has_immunity(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = very_low))) | (~(has_immunity(X!4, T1!2) | (~((~((~positional_advantage(X!4, T1!2)) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = low))) | (~((~positional_advantage(X!4, T1!2)) | is_aligned(X!4, T1!2) | (hazard_of_mortality(X!4, T1!2) = mod1))) | (~(positional_advantage(X!4, T1!2) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = mod2))) | (~(is_aligned(X!4, T1!2) | positional_advantage(X!4, T1!2) | (hazard_of_mortality(X!4, T1!2) = high)))))))))),
% 0.22/0.52 inference(modus_ponens,[status(thm)],[225, 224])).
% 0.22/0.52 tff(227,plain,
% 0.22/0.52 (~((~((~has_immunity(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = very_low))) | (~(has_immunity(X!4, T1!2) | (~((~((~positional_advantage(X!4, T1!2)) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = low))) | (~((~positional_advantage(X!4, T1!2)) | is_aligned(X!4, T1!2) | (hazard_of_mortality(X!4, T1!2) = mod1))) | (~(positional_advantage(X!4, T1!2) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = mod2))) | (~(is_aligned(X!4, T1!2) | positional_advantage(X!4, T1!2) | (hazard_of_mortality(X!4, T1!2) = high))))))))),
% 0.22/0.53 inference(unit_resolution,[status(thm)],[226, 46, 12])).
% 0.22/0.53 tff(228,plain,
% 0.22/0.53 (((~((~has_immunity(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = very_low))) | (~(has_immunity(X!4, T1!2) | (~((~((~positional_advantage(X!4, T1!2)) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = low))) | (~((~positional_advantage(X!4, T1!2)) | is_aligned(X!4, T1!2) | (hazard_of_mortality(X!4, T1!2) = mod1))) | (~(positional_advantage(X!4, T1!2) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = mod2))) | (~(is_aligned(X!4, T1!2) | positional_advantage(X!4, T1!2) | (hazard_of_mortality(X!4, T1!2) = high)))))))) | (has_immunity(X!4, T1!2) | (~((~((~positional_advantage(X!4, T1!2)) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = low))) | (~((~positional_advantage(X!4, T1!2)) | is_aligned(X!4, T1!2) | (hazard_of_mortality(X!4, T1!2) = mod1))) | (~(positional_advantage(X!4, T1!2) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = mod2))) | (~(is_aligned(X!4, T1!2) | positional_advantage(X!4, T1!2) | (hazard_of_mortality(X!4, T1!2) = high))))))),
% 0.22/0.53 inference(tautology,[status(thm)],[])).
% 0.22/0.53 tff(229,plain,
% 0.22/0.53 (has_immunity(X!4, T1!2) | (~((~((~positional_advantage(X!4, T1!2)) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = low))) | (~((~positional_advantage(X!4, T1!2)) | is_aligned(X!4, T1!2) | (hazard_of_mortality(X!4, T1!2) = mod1))) | (~(positional_advantage(X!4, T1!2) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = mod2))) | (~(is_aligned(X!4, T1!2) | positional_advantage(X!4, T1!2) | (hazard_of_mortality(X!4, T1!2) = high)))))),
% 0.22/0.53 inference(unit_resolution,[status(thm)],[228, 227])).
% 0.22/0.53 tff(230,plain,
% 0.22/0.53 ((~(has_immunity(X!4, T1!2) | (~((~((~positional_advantage(X!4, T1!2)) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = low))) | (~((~positional_advantage(X!4, T1!2)) | is_aligned(X!4, T1!2) | (hazard_of_mortality(X!4, T1!2) = mod1))) | (~(positional_advantage(X!4, T1!2) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = mod2))) | (~(is_aligned(X!4, T1!2) | positional_advantage(X!4, T1!2) | (hazard_of_mortality(X!4, T1!2) = high))))))) | has_immunity(X!4, T1!2) | (~((~((~positional_advantage(X!4, T1!2)) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = low))) | (~((~positional_advantage(X!4, T1!2)) | is_aligned(X!4, T1!2) | (hazard_of_mortality(X!4, T1!2) = mod1))) | (~(positional_advantage(X!4, T1!2) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = mod2))) | (~(is_aligned(X!4, T1!2) | positional_advantage(X!4, T1!2) | (hazard_of_mortality(X!4, T1!2) = high)))))),
% 0.22/0.53 inference(tautology,[status(thm)],[])).
% 0.22/0.53 tff(231,plain,
% 0.22/0.53 (has_immunity(X!4, T1!2) | (~((~((~positional_advantage(X!4, T1!2)) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = low))) | (~((~positional_advantage(X!4, T1!2)) | is_aligned(X!4, T1!2) | (hazard_of_mortality(X!4, T1!2) = mod1))) | (~(positional_advantage(X!4, T1!2) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = mod2))) | (~(is_aligned(X!4, T1!2) | positional_advantage(X!4, T1!2) | (hazard_of_mortality(X!4, T1!2) = high)))))),
% 0.22/0.53 inference(unit_resolution,[status(thm)],[230, 229])).
% 0.22/0.53 tff(232,plain,
% 0.22/0.53 (~((~((~positional_advantage(X!4, T1!2)) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = low))) | (~((~positional_advantage(X!4, T1!2)) | is_aligned(X!4, T1!2) | (hazard_of_mortality(X!4, T1!2) = mod1))) | (~(positional_advantage(X!4, T1!2) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = mod2))) | (~(is_aligned(X!4, T1!2) | positional_advantage(X!4, T1!2) | (hazard_of_mortality(X!4, T1!2) = high))))),
% 0.22/0.53 inference(unit_resolution,[status(thm)],[231, 220])).
% 0.22/0.53 tff(233,plain,
% 0.22/0.53 (((~((~positional_advantage(X!4, T1!2)) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = low))) | (~((~positional_advantage(X!4, T1!2)) | is_aligned(X!4, T1!2) | (hazard_of_mortality(X!4, T1!2) = mod1))) | (~(positional_advantage(X!4, T1!2) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = mod2))) | (~(is_aligned(X!4, T1!2) | positional_advantage(X!4, T1!2) | (hazard_of_mortality(X!4, T1!2) = high)))) | ((~positional_advantage(X!4, T1!2)) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = low))),
% 0.22/0.53 inference(tautology,[status(thm)],[])).
% 0.22/0.53 tff(234,plain,
% 0.22/0.53 ((~positional_advantage(X!4, T1!2)) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = low)),
% 0.22/0.53 inference(unit_resolution,[status(thm)],[233, 232])).
% 0.22/0.53 tff(235,plain,
% 0.22/0.53 ((~((~positional_advantage(X!4, T1!2)) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = low))) | (~positional_advantage(X!4, T1!2)) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = low)),
% 0.22/0.53 inference(tautology,[status(thm)],[])).
% 0.22/0.53 tff(236,plain,
% 0.22/0.53 ((~((~positional_advantage(X!4, T1!2)) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = low))) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = low)),
% 0.22/0.53 inference(unit_resolution,[status(thm)],[235, 197])).
% 0.22/0.53 tff(237,plain,
% 0.22/0.53 ((~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = low)),
% 0.22/0.53 inference(unit_resolution,[status(thm)],[236, 234])).
% 0.22/0.53 tff(238,plain,
% 0.22/0.53 (hazard_of_mortality(X!4, T1!2) = low),
% 0.22/0.53 inference(unit_resolution,[status(thm)],[237, 211])).
% 0.22/0.53 tff(239,plain,
% 0.22/0.53 (hazard_of_mortality(X!4, T1!2) = hazard_of_mortality(X!4, T0!3)),
% 0.22/0.53 inference(modus_ponens,[status(thm)],[238, 155])).
% 0.22/0.53 tff(240,assumption,(hazard_of_mortality(X!4, T1!2) = low), introduced(assumption)).
% 0.22/0.53 tff(241,assumption,(~greater(hazard_of_mortality(X!4, T2!1), hazard_of_mortality(X!4, T1!2))), introduced(assumption)).
% 0.22/0.53 tff(242,assumption,(hazard_of_mortality(X!4, T2!1) = mod2), introduced(assumption)).
% 0.22/0.53 tff(243,plain,
% 0.22/0.53 (greater(hazard_of_mortality(X!4, T2!1), hazard_of_mortality(X!4, T1!2)) <=> greater(mod2, low)),
% 0.22/0.53 inference(monotonicity,[status(thm)],[242, 240])).
% 0.22/0.53 tff(244,plain,
% 0.22/0.53 (greater(mod2, low) <=> greater(hazard_of_mortality(X!4, T2!1), hazard_of_mortality(X!4, T1!2))),
% 0.22/0.53 inference(symmetry,[status(thm)],[243])).
% 0.22/0.53 tff(245,plain,
% 0.22/0.53 (greater(mod2, low) <=> greater(mod2, low)),
% 0.22/0.53 inference(rewrite,[status(thm)],[])).
% 0.22/0.53 tff(246,axiom,(greater(mod2, low)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','assumption_18e')).
% 0.22/0.53 tff(247,plain,
% 0.22/0.53 (greater(mod2, low)),
% 0.22/0.53 inference(modus_ponens,[status(thm)],[246, 245])).
% 0.22/0.53 tff(248,plain,
% 0.22/0.53 (greater(hazard_of_mortality(X!4, T2!1), hazard_of_mortality(X!4, T1!2))),
% 0.22/0.53 inference(modus_ponens,[status(thm)],[247, 244])).
% 0.22/0.53 tff(249,plain,
% 0.22/0.53 ($false),
% 0.22/0.53 inference(unit_resolution,[status(thm)],[241, 248])).
% 0.22/0.53 tff(250,plain,((~(hazard_of_mortality(X!4, T2!1) = mod2)) | greater(hazard_of_mortality(X!4, T2!1), hazard_of_mortality(X!4, T1!2)) | (~(hazard_of_mortality(X!4, T1!2) = low))), inference(lemma,lemma(discharge,[]))).
% 0.22/0.53 tff(251,plain,
% 0.22/0.53 (~(hazard_of_mortality(X!4, T2!1) = mod2)),
% 0.22/0.53 inference(unit_resolution,[status(thm)],[250, 240, 241])).
% 0.22/0.53 tff(252,assumption,(has_immunity(X!4, T2!1)), introduced(assumption)).
% 0.22/0.53 tff(253,plain,
% 0.22/0.53 (((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | (has_endowment(X!4) | (~organization(X!4)) | (~has_immunity(X!4, T2!1)))) <=> ((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | has_endowment(X!4) | (~organization(X!4)) | (~has_immunity(X!4, T2!1)))),
% 0.22/0.53 inference(rewrite,[status(thm)],[])).
% 0.22/0.53 tff(254,plain,
% 0.22/0.53 (((~has_immunity(X!4, T2!1)) | has_endowment(X!4) | (~organization(X!4))) <=> (has_endowment(X!4) | (~organization(X!4)) | (~has_immunity(X!4, T2!1)))),
% 0.22/0.53 inference(rewrite,[status(thm)],[])).
% 0.22/0.53 tff(255,plain,
% 0.22/0.53 (((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | ((~has_immunity(X!4, T2!1)) | has_endowment(X!4) | (~organization(X!4)))) <=> ((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | (has_endowment(X!4) | (~organization(X!4)) | (~has_immunity(X!4, T2!1))))),
% 0.22/0.53 inference(monotonicity,[status(thm)],[254])).
% 0.22/0.53 tff(256,plain,
% 0.22/0.53 (((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | ((~has_immunity(X!4, T2!1)) | has_endowment(X!4) | (~organization(X!4)))) <=> ((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | has_endowment(X!4) | (~organization(X!4)) | (~has_immunity(X!4, T2!1)))),
% 0.22/0.53 inference(transitivity,[status(thm)],[255, 253])).
% 0.22/0.53 tff(257,plain,
% 0.22/0.53 ((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | ((~has_immunity(X!4, T2!1)) | has_endowment(X!4) | (~organization(X!4)))),
% 0.22/0.53 inference(quant_inst,[status(thm)],[])).
% 0.22/0.53 tff(258,plain,
% 0.22/0.53 ((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | has_endowment(X!4) | (~organization(X!4)) | (~has_immunity(X!4, T2!1))),
% 0.22/0.53 inference(modus_ponens,[status(thm)],[257, 256])).
% 0.22/0.53 tff(259,plain,
% 0.22/0.53 ($false),
% 0.22/0.53 inference(unit_resolution,[status(thm)],[258, 25, 12, 11, 252])).
% 0.22/0.53 tff(260,plain,(~has_immunity(X!4, T2!1)), inference(lemma,lemma(discharge,[]))).
% 0.22/0.53 tff(261,plain,
% 0.22/0.53 (((~![X: $i, T: $i] : ((~organization(X)) | (~((~((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low))) | (~(has_immunity(X, T) | (~((~((~positional_advantage(X, T)) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = low))) | (~((~positional_advantage(X, T)) | is_aligned(X, T) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(positional_advantage(X, T) | is_aligned(X, T) | (hazard_of_mortality(X, T) = high))))))))))) | ((~organization(X!4)) | (~((~((~has_immunity(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = very_low))) | (~(has_immunity(X!4, T2!1) | (~((~((~positional_advantage(X!4, T2!1)) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = low))) | (~((~positional_advantage(X!4, T2!1)) | is_aligned(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = mod1))) | (~(positional_advantage(X!4, T2!1) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = mod2))) | (~(is_aligned(X!4, T2!1) | positional_advantage(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = high))))))))))) <=> ((~![X: $i, T: $i] : ((~organization(X)) | (~((~((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low))) | (~(has_immunity(X, T) | (~((~((~positional_advantage(X, T)) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = low))) | (~((~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!4)) | (~((~((~has_immunity(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = very_low))) | (~(has_immunity(X!4, T2!1) | (~((~((~positional_advantage(X!4, T2!1)) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = low))) | (~((~positional_advantage(X!4, T2!1)) | is_aligned(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = mod1))) | (~(positional_advantage(X!4, T2!1) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = mod2))) | (~(is_aligned(X!4, T2!1) | positional_advantage(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = high))))))))))),
% 0.22/0.53 inference(rewrite,[status(thm)],[])).
% 0.22/0.53 tff(262,plain,
% 0.22/0.53 (((~organization(X!4)) | (~((~((~has_immunity(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = very_low))) | (~(has_immunity(X!4, T2!1) | (~((~((~positional_advantage(X!4, T2!1)) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = low))) | (~((~positional_advantage(X!4, T2!1)) | is_aligned(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = mod1))) | (~(positional_advantage(X!4, T2!1) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = mod2))) | (~(positional_advantage(X!4, T2!1) | is_aligned(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = high)))))))))) <=> ((~organization(X!4)) | (~((~((~has_immunity(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = very_low))) | (~(has_immunity(X!4, T2!1) | (~((~((~positional_advantage(X!4, T2!1)) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = low))) | (~((~positional_advantage(X!4, T2!1)) | is_aligned(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = mod1))) | (~(positional_advantage(X!4, T2!1) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = mod2))) | (~(is_aligned(X!4, T2!1) | positional_advantage(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = high))))))))))),
% 0.22/0.53 inference(rewrite,[status(thm)],[])).
% 0.22/0.53 tff(263,plain,
% 0.22/0.53 (((~![X: $i, T: $i] : ((~organization(X)) | (~((~((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low))) | (~(has_immunity(X, T) | (~((~((~positional_advantage(X, T)) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = low))) | (~((~positional_advantage(X, T)) | is_aligned(X, T) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(positional_advantage(X, T) | is_aligned(X, T) | (hazard_of_mortality(X, T) = high))))))))))) | ((~organization(X!4)) | (~((~((~has_immunity(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = very_low))) | (~(has_immunity(X!4, T2!1) | (~((~((~positional_advantage(X!4, T2!1)) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = low))) | (~((~positional_advantage(X!4, T2!1)) | is_aligned(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = mod1))) | (~(positional_advantage(X!4, T2!1) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = mod2))) | (~(positional_advantage(X!4, T2!1) | is_aligned(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = high))))))))))) <=> ((~![X: $i, T: $i] : ((~organization(X)) | (~((~((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low))) | (~(has_immunity(X, T) | (~((~((~positional_advantage(X, T)) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = low))) | (~((~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!4)) | (~((~((~has_immunity(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = very_low))) | (~(has_immunity(X!4, T2!1) | (~((~((~positional_advantage(X!4, T2!1)) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = low))) | (~((~positional_advantage(X!4, T2!1)) | is_aligned(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = mod1))) | (~(positional_advantage(X!4, T2!1) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = mod2))) | (~(is_aligned(X!4, T2!1) | positional_advantage(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = high)))))))))))),
% 0.22/0.53 inference(monotonicity,[status(thm)],[262])).
% 0.22/0.53 tff(264,plain,
% 0.22/0.53 (((~![X: $i, T: $i] : ((~organization(X)) | (~((~((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low))) | (~(has_immunity(X, T) | (~((~((~positional_advantage(X, T)) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = low))) | (~((~positional_advantage(X, T)) | is_aligned(X, T) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(positional_advantage(X, T) | is_aligned(X, T) | (hazard_of_mortality(X, T) = high))))))))))) | ((~organization(X!4)) | (~((~((~has_immunity(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = very_low))) | (~(has_immunity(X!4, T2!1) | (~((~((~positional_advantage(X!4, T2!1)) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = low))) | (~((~positional_advantage(X!4, T2!1)) | is_aligned(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = mod1))) | (~(positional_advantage(X!4, T2!1) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = mod2))) | (~(positional_advantage(X!4, T2!1) | is_aligned(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = high))))))))))) <=> ((~![X: $i, T: $i] : ((~organization(X)) | (~((~((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low))) | (~(has_immunity(X, T) | (~((~((~positional_advantage(X, T)) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = low))) | (~((~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!4)) | (~((~((~has_immunity(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = very_low))) | (~(has_immunity(X!4, T2!1) | (~((~((~positional_advantage(X!4, T2!1)) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = low))) | (~((~positional_advantage(X!4, T2!1)) | is_aligned(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = mod1))) | (~(positional_advantage(X!4, T2!1) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = mod2))) | (~(is_aligned(X!4, T2!1) | positional_advantage(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = high))))))))))),
% 0.22/0.54 inference(transitivity,[status(thm)],[263, 261])).
% 0.22/0.54 tff(265,plain,
% 0.22/0.54 ((~![X: $i, T: $i] : ((~organization(X)) | (~((~((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low))) | (~(has_immunity(X, T) | (~((~((~positional_advantage(X, T)) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = low))) | (~((~positional_advantage(X, T)) | is_aligned(X, T) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(positional_advantage(X, T) | is_aligned(X, T) | (hazard_of_mortality(X, T) = high))))))))))) | ((~organization(X!4)) | (~((~((~has_immunity(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = very_low))) | (~(has_immunity(X!4, T2!1) | (~((~((~positional_advantage(X!4, T2!1)) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = low))) | (~((~positional_advantage(X!4, T2!1)) | is_aligned(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = mod1))) | (~(positional_advantage(X!4, T2!1) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = mod2))) | (~(positional_advantage(X!4, T2!1) | is_aligned(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = high))))))))))),
% 0.22/0.54 inference(quant_inst,[status(thm)],[])).
% 0.22/0.54 tff(266,plain,
% 0.22/0.54 ((~![X: $i, T: $i] : ((~organization(X)) | (~((~((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low))) | (~(has_immunity(X, T) | (~((~((~positional_advantage(X, T)) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = low))) | (~((~positional_advantage(X, T)) | is_aligned(X, T) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(positional_advantage(X, T) | is_aligned(X, T) | (hazard_of_mortality(X, T) = high))))))))))) | (~organization(X!4)) | (~((~((~has_immunity(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = very_low))) | (~(has_immunity(X!4, T2!1) | (~((~((~positional_advantage(X!4, T2!1)) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = low))) | (~((~positional_advantage(X!4, T2!1)) | is_aligned(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = mod1))) | (~(positional_advantage(X!4, T2!1) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = mod2))) | (~(is_aligned(X!4, T2!1) | positional_advantage(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = high)))))))))),
% 0.22/0.54 inference(modus_ponens,[status(thm)],[265, 264])).
% 0.22/0.54 tff(267,plain,
% 0.22/0.54 (~((~((~has_immunity(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = very_low))) | (~(has_immunity(X!4, T2!1) | (~((~((~positional_advantage(X!4, T2!1)) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = low))) | (~((~positional_advantage(X!4, T2!1)) | is_aligned(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = mod1))) | (~(positional_advantage(X!4, T2!1) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = mod2))) | (~(is_aligned(X!4, T2!1) | positional_advantage(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = high))))))))),
% 0.22/0.54 inference(unit_resolution,[status(thm)],[266, 46, 12])).
% 0.22/0.54 tff(268,plain,
% 0.22/0.54 (((~((~has_immunity(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = very_low))) | (~(has_immunity(X!4, T2!1) | (~((~((~positional_advantage(X!4, T2!1)) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = low))) | (~((~positional_advantage(X!4, T2!1)) | is_aligned(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = mod1))) | (~(positional_advantage(X!4, T2!1) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = mod2))) | (~(is_aligned(X!4, T2!1) | positional_advantage(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = high)))))))) | (has_immunity(X!4, T2!1) | (~((~((~positional_advantage(X!4, T2!1)) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = low))) | (~((~positional_advantage(X!4, T2!1)) | is_aligned(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = mod1))) | (~(positional_advantage(X!4, T2!1) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = mod2))) | (~(is_aligned(X!4, T2!1) | positional_advantage(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = high))))))),
% 0.22/0.54 inference(tautology,[status(thm)],[])).
% 0.22/0.54 tff(269,plain,
% 0.22/0.54 (has_immunity(X!4, T2!1) | (~((~((~positional_advantage(X!4, T2!1)) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = low))) | (~((~positional_advantage(X!4, T2!1)) | is_aligned(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = mod1))) | (~(positional_advantage(X!4, T2!1) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = mod2))) | (~(is_aligned(X!4, T2!1) | positional_advantage(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = high)))))),
% 0.22/0.54 inference(unit_resolution,[status(thm)],[268, 267])).
% 0.22/0.54 tff(270,plain,
% 0.22/0.54 ((~(has_immunity(X!4, T2!1) | (~((~((~positional_advantage(X!4, T2!1)) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = low))) | (~((~positional_advantage(X!4, T2!1)) | is_aligned(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = mod1))) | (~(positional_advantage(X!4, T2!1) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = mod2))) | (~(is_aligned(X!4, T2!1) | positional_advantage(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = high))))))) | has_immunity(X!4, T2!1) | (~((~((~positional_advantage(X!4, T2!1)) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = low))) | (~((~positional_advantage(X!4, T2!1)) | is_aligned(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = mod1))) | (~(positional_advantage(X!4, T2!1) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = mod2))) | (~(is_aligned(X!4, T2!1) | positional_advantage(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = high)))))),
% 0.22/0.54 inference(tautology,[status(thm)],[])).
% 0.22/0.54 tff(271,plain,
% 0.22/0.54 (has_immunity(X!4, T2!1) | (~((~((~positional_advantage(X!4, T2!1)) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = low))) | (~((~positional_advantage(X!4, T2!1)) | is_aligned(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = mod1))) | (~(positional_advantage(X!4, T2!1) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = mod2))) | (~(is_aligned(X!4, T2!1) | positional_advantage(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = high)))))),
% 0.22/0.54 inference(unit_resolution,[status(thm)],[270, 269])).
% 0.22/0.54 tff(272,plain,
% 0.22/0.54 (~((~((~positional_advantage(X!4, T2!1)) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = low))) | (~((~positional_advantage(X!4, T2!1)) | is_aligned(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = mod1))) | (~(positional_advantage(X!4, T2!1) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = mod2))) | (~(is_aligned(X!4, T2!1) | positional_advantage(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = high))))),
% 0.22/0.54 inference(unit_resolution,[status(thm)],[271, 260])).
% 0.22/0.54 tff(273,plain,
% 0.22/0.54 (((~((~positional_advantage(X!4, T2!1)) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = low))) | (~((~positional_advantage(X!4, T2!1)) | is_aligned(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = mod1))) | (~(positional_advantage(X!4, T2!1) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = mod2))) | (~(is_aligned(X!4, T2!1) | positional_advantage(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = high)))) | (positional_advantage(X!4, T2!1) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = mod2))),
% 0.22/0.54 inference(tautology,[status(thm)],[])).
% 0.22/0.54 tff(274,plain,
% 0.22/0.54 (positional_advantage(X!4, T2!1) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = mod2)),
% 0.22/0.54 inference(unit_resolution,[status(thm)],[273, 272])).
% 0.22/0.54 tff(275,plain,
% 0.22/0.54 ((~![T: $i] : (~((~((~smaller_or_equal(age(X!4, T), sigma)) | positional_advantage(X!4, T))) | (~((~positional_advantage(X!4, T)) | (~greater(age(X!4, T), sigma))))))) | (~((~((~smaller_or_equal(age(X!4, T2!1), sigma)) | positional_advantage(X!4, T2!1))) | (~((~positional_advantage(X!4, T2!1)) | (~greater(age(X!4, T2!1), sigma))))))),
% 0.22/0.54 inference(quant_inst,[status(thm)],[])).
% 0.22/0.54 tff(276,plain,
% 0.22/0.54 (~((~((~smaller_or_equal(age(X!4, T2!1), sigma)) | positional_advantage(X!4, T2!1))) | (~((~positional_advantage(X!4, T2!1)) | (~greater(age(X!4, T2!1), sigma)))))),
% 0.22/0.54 inference(unit_resolution,[status(thm)],[275, 92])).
% 0.22/0.54 tff(277,plain,
% 0.22/0.54 (((~((~smaller_or_equal(age(X!4, T2!1), sigma)) | positional_advantage(X!4, T2!1))) | (~((~positional_advantage(X!4, T2!1)) | (~greater(age(X!4, T2!1), sigma))))) | ((~positional_advantage(X!4, T2!1)) | (~greater(age(X!4, T2!1), sigma)))),
% 0.22/0.54 inference(tautology,[status(thm)],[])).
% 0.22/0.54 tff(278,plain,
% 0.22/0.54 ((~positional_advantage(X!4, T2!1)) | (~greater(age(X!4, T2!1), sigma))),
% 0.22/0.54 inference(unit_resolution,[status(thm)],[277, 276])).
% 0.22/0.54 tff(279,plain,
% 0.22/0.54 (greater(age(X!4, T2!1), sigma)),
% 0.22/0.54 inference(and_elim,[status(thm)],[10])).
% 0.22/0.54 tff(280,plain,
% 0.22/0.54 ((~((~positional_advantage(X!4, T2!1)) | (~greater(age(X!4, T2!1), sigma)))) | (~positional_advantage(X!4, T2!1)) | (~greater(age(X!4, T2!1), sigma))),
% 0.22/0.54 inference(tautology,[status(thm)],[])).
% 0.22/0.54 tff(281,plain,
% 0.22/0.54 ((~((~positional_advantage(X!4, T2!1)) | (~greater(age(X!4, T2!1), sigma)))) | (~positional_advantage(X!4, T2!1))),
% 0.22/0.54 inference(unit_resolution,[status(thm)],[280, 279])).
% 0.22/0.54 tff(282,plain,
% 0.22/0.54 (~positional_advantage(X!4, T2!1)),
% 0.22/0.54 inference(unit_resolution,[status(thm)],[281, 278])).
% 0.22/0.54 tff(283,plain,
% 0.22/0.54 ((~(positional_advantage(X!4, T2!1) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = mod2))) | positional_advantage(X!4, T2!1) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = mod2)),
% 0.22/0.54 inference(tautology,[status(thm)],[])).
% 0.22/0.54 tff(284,plain,
% 0.22/0.54 ((~(positional_advantage(X!4, T2!1) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = mod2))) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = mod2)),
% 0.22/0.54 inference(unit_resolution,[status(thm)],[283, 282])).
% 0.22/0.54 tff(285,plain,
% 0.22/0.54 ((~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = mod2)),
% 0.22/0.54 inference(unit_resolution,[status(thm)],[284, 274])).
% 0.22/0.54 tff(286,plain,
% 0.22/0.54 (~is_aligned(X!4, T2!1)),
% 0.22/0.54 inference(unit_resolution,[status(thm)],[285, 251])).
% 0.22/0.54 tff(287,plain,
% 0.22/0.54 (((~((~positional_advantage(X!4, T2!1)) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = low))) | (~((~positional_advantage(X!4, T2!1)) | is_aligned(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = mod1))) | (~(positional_advantage(X!4, T2!1) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = mod2))) | (~(is_aligned(X!4, T2!1) | positional_advantage(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = high)))) | (is_aligned(X!4, T2!1) | positional_advantage(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = high))),
% 0.22/0.54 inference(tautology,[status(thm)],[])).
% 0.22/0.54 tff(288,plain,
% 0.22/0.54 (is_aligned(X!4, T2!1) | positional_advantage(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = high)),
% 0.22/0.54 inference(unit_resolution,[status(thm)],[287, 272])).
% 0.22/0.54 tff(289,plain,
% 0.22/0.54 ((~(is_aligned(X!4, T2!1) | positional_advantage(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = high))) | is_aligned(X!4, T2!1) | positional_advantage(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = high)),
% 0.22/0.54 inference(tautology,[status(thm)],[])).
% 0.22/0.54 tff(290,plain,
% 0.22/0.54 ((~(is_aligned(X!4, T2!1) | positional_advantage(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = high))) | is_aligned(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = high)),
% 0.22/0.54 inference(unit_resolution,[status(thm)],[289, 282])).
% 0.22/0.54 tff(291,plain,
% 0.22/0.54 (is_aligned(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = high)),
% 0.22/0.54 inference(unit_resolution,[status(thm)],[290, 288])).
% 0.22/0.54 tff(292,plain,
% 0.22/0.54 (hazard_of_mortality(X!4, T2!1) = high),
% 0.22/0.54 inference(unit_resolution,[status(thm)],[291, 286])).
% 0.22/0.54 tff(293,plain,
% 0.22/0.54 (greater(hazard_of_mortality(X!4, T2!1), hazard_of_mortality(X!4, T1!2)) <=> greater(high, low)),
% 0.22/0.54 inference(monotonicity,[status(thm)],[292, 240])).
% 0.22/0.54 tff(294,plain,
% 0.22/0.54 (greater(high, low) <=> greater(hazard_of_mortality(X!4, T2!1), hazard_of_mortality(X!4, T1!2))),
% 0.22/0.54 inference(symmetry,[status(thm)],[293])).
% 0.22/0.54 tff(295,plain,
% 0.22/0.54 (greater(mod1, low) <=> greater(mod1, low)),
% 0.22/0.54 inference(rewrite,[status(thm)],[])).
% 0.22/0.54 tff(296,axiom,(greater(mod1, low)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','assumption_18b')).
% 0.22/0.54 tff(297,plain,
% 0.22/0.54 (greater(mod1, low)),
% 0.22/0.54 inference(modus_ponens,[status(thm)],[296, 295])).
% 0.22/0.54 tff(298,plain,
% 0.22/0.54 (greater(high, mod1) <=> greater(high, mod1)),
% 0.22/0.54 inference(rewrite,[status(thm)],[])).
% 0.22/0.54 tff(299,axiom,(greater(high, mod1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','assumption_18a')).
% 0.22/0.54 tff(300,plain,
% 0.22/0.54 (greater(high, mod1)),
% 0.22/0.54 inference(modus_ponens,[status(thm)],[299, 298])).
% 0.22/0.54 tff(301,plain,
% 0.22/0.54 (![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y))) <=> ![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))),
% 0.22/0.54 inference(rewrite,[status(thm)],[])).
% 0.22/0.54 tff(302,plain,
% 0.22/0.54 (^[X: $i, Y: $i, Z: $i] : trans(monotonicity(trans(monotonicity(rewrite((greater(X, Y) & greater(Y, Z)) <=> (~((~greater(Y, Z)) | (~greater(X, Y))))), ((~(greater(X, Y) & greater(Y, Z))) <=> (~(~((~greater(Y, Z)) | (~greater(X, Y))))))), rewrite((~(~((~greater(Y, Z)) | (~greater(X, Y))))) <=> ((~greater(Y, Z)) | (~greater(X, Y)))), ((~(greater(X, Y) & greater(Y, Z))) <=> ((~greater(Y, Z)) | (~greater(X, Y))))), (((~(greater(X, Y) & greater(Y, Z))) | greater(X, Z)) <=> (((~greater(Y, Z)) | (~greater(X, Y))) | greater(X, Z)))), rewrite((((~greater(Y, Z)) | (~greater(X, Y))) | greater(X, Z)) <=> (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))), (((~(greater(X, Y) & greater(Y, Z))) | greater(X, Z)) <=> (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))))),
% 0.22/0.54 inference(bind,[status(th)],[])).
% 0.22/0.54 tff(303,plain,
% 0.22/0.54 (![X: $i, Y: $i, Z: $i] : ((~(greater(X, Y) & greater(Y, Z))) | greater(X, Z)) <=> ![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))),
% 0.22/0.54 inference(quant_intro,[status(thm)],[302])).
% 0.22/0.54 tff(304,plain,
% 0.22/0.54 (![X: $i, Y: $i, Z: $i] : ((~(greater(X, Y) & greater(Y, Z))) | greater(X, Z)) <=> ![X: $i, Y: $i, Z: $i] : ((~(greater(X, Y) & greater(Y, Z))) | greater(X, Z))),
% 0.22/0.54 inference(rewrite,[status(thm)],[])).
% 0.22/0.54 tff(305,plain,
% 0.22/0.54 (^[X: $i, Y: $i, Z: $i] : rewrite(((greater(X, Y) & greater(Y, Z)) => greater(X, Z)) <=> ((~(greater(X, Y) & greater(Y, Z))) | greater(X, Z)))),
% 0.22/0.54 inference(bind,[status(th)],[])).
% 0.22/0.54 tff(306,plain,
% 0.22/0.54 (![X: $i, Y: $i, Z: $i] : ((greater(X, Y) & greater(Y, Z)) => greater(X, Z)) <=> ![X: $i, Y: $i, Z: $i] : ((~(greater(X, Y) & greater(Y, Z))) | greater(X, Z))),
% 0.22/0.54 inference(quant_intro,[status(thm)],[305])).
% 0.22/0.54 tff(307,axiom,(![X: $i, Y: $i, Z: $i] : ((greater(X, Y) & greater(Y, Z)) => greater(X, Z))), file('/export/starexec/sandbox2/benchmark/Axioms/MGT001+0.ax','meaning_postulate_greater_transitive')).
% 0.22/0.54 tff(308,plain,
% 0.22/0.54 (![X: $i, Y: $i, Z: $i] : ((~(greater(X, Y) & greater(Y, Z))) | greater(X, Z))),
% 0.22/0.54 inference(modus_ponens,[status(thm)],[307, 306])).
% 0.22/0.54 tff(309,plain,
% 0.22/0.54 (![X: $i, Y: $i, Z: $i] : ((~(greater(X, Y) & greater(Y, Z))) | greater(X, Z))),
% 0.22/0.54 inference(modus_ponens,[status(thm)],[308, 304])).
% 0.22/0.54 tff(310,plain,(
% 0.22/0.54 ![X: $i, Y: $i, Z: $i] : ((~(greater(X, Y) & greater(Y, Z))) | greater(X, Z))),
% 0.22/0.54 inference(skolemize,[status(sab)],[309])).
% 0.22/0.54 tff(311,plain,
% 0.22/0.54 (![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))),
% 0.22/0.54 inference(modus_ponens,[status(thm)],[310, 303])).
% 0.22/0.54 tff(312,plain,
% 0.22/0.54 (![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))),
% 0.22/0.54 inference(modus_ponens,[status(thm)],[311, 301])).
% 0.22/0.54 tff(313,plain,
% 0.22/0.54 (((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (greater(high, low) | (~greater(mod1, low)) | (~greater(high, mod1)))) <=> ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | greater(high, low) | (~greater(mod1, low)) | (~greater(high, mod1)))),
% 0.22/0.55 inference(rewrite,[status(thm)],[])).
% 0.22/0.55 tff(314,plain,
% 0.22/0.55 ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (greater(high, low) | (~greater(mod1, low)) | (~greater(high, mod1)))),
% 0.22/0.55 inference(quant_inst,[status(thm)],[])).
% 0.22/0.55 tff(315,plain,
% 0.22/0.55 ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | greater(high, low) | (~greater(mod1, low)) | (~greater(high, mod1))),
% 0.22/0.55 inference(modus_ponens,[status(thm)],[314, 313])).
% 0.22/0.55 tff(316,plain,
% 0.22/0.55 (greater(high, low)),
% 0.22/0.55 inference(unit_resolution,[status(thm)],[315, 312, 300, 297])).
% 0.22/0.55 tff(317,plain,
% 0.22/0.55 (greater(hazard_of_mortality(X!4, T2!1), hazard_of_mortality(X!4, T1!2))),
% 0.22/0.55 inference(modus_ponens,[status(thm)],[316, 294])).
% 0.22/0.55 tff(318,plain,
% 0.22/0.55 ($false),
% 0.22/0.55 inference(unit_resolution,[status(thm)],[241, 317])).
% 0.22/0.55 tff(319,plain,((~(hazard_of_mortality(X!4, T1!2) = low)) | greater(hazard_of_mortality(X!4, T2!1), hazard_of_mortality(X!4, T1!2))), inference(lemma,lemma(discharge,[]))).
% 0.22/0.55 tff(320,plain,
% 0.22/0.55 (greater(hazard_of_mortality(X!4, T2!1), hazard_of_mortality(X!4, T1!2))),
% 0.22/0.55 inference(unit_resolution,[status(thm)],[319, 238])).
% 0.22/0.55 tff(321,plain,
% 0.22/0.55 ((~(~((~greater(hazard_of_mortality(X!4, T2!1), hazard_of_mortality(X!4, T1!2))) | (~(hazard_of_mortality(X!4, T1!2) = hazard_of_mortality(X!4, T0!3)))))) <=> ((~greater(hazard_of_mortality(X!4, T2!1), hazard_of_mortality(X!4, T1!2))) | (~(hazard_of_mortality(X!4, T1!2) = hazard_of_mortality(X!4, T0!3))))),
% 0.22/0.55 inference(rewrite,[status(thm)],[])).
% 0.22/0.55 tff(322,plain,
% 0.22/0.55 ((greater(hazard_of_mortality(X!4, T2!1), hazard_of_mortality(X!4, T1!2)) & (hazard_of_mortality(X!4, T1!2) = hazard_of_mortality(X!4, T0!3))) <=> (~((~greater(hazard_of_mortality(X!4, T2!1), hazard_of_mortality(X!4, T1!2))) | (~(hazard_of_mortality(X!4, T1!2) = hazard_of_mortality(X!4, T0!3)))))),
% 0.22/0.55 inference(rewrite,[status(thm)],[])).
% 0.22/0.55 tff(323,plain,
% 0.22/0.55 ((~(greater(hazard_of_mortality(X!4, T2!1), hazard_of_mortality(X!4, T1!2)) & (hazard_of_mortality(X!4, T1!2) = hazard_of_mortality(X!4, T0!3)))) <=> (~(~((~greater(hazard_of_mortality(X!4, T2!1), hazard_of_mortality(X!4, T1!2))) | (~(hazard_of_mortality(X!4, T1!2) = hazard_of_mortality(X!4, T0!3))))))),
% 0.22/0.55 inference(monotonicity,[status(thm)],[322])).
% 0.22/0.55 tff(324,plain,
% 0.22/0.55 ((~(greater(hazard_of_mortality(X!4, T2!1), hazard_of_mortality(X!4, T1!2)) & (hazard_of_mortality(X!4, T1!2) = hazard_of_mortality(X!4, T0!3)))) <=> ((~greater(hazard_of_mortality(X!4, T2!1), hazard_of_mortality(X!4, T1!2))) | (~(hazard_of_mortality(X!4, T1!2) = hazard_of_mortality(X!4, T0!3))))),
% 0.22/0.55 inference(transitivity,[status(thm)],[323, 321])).
% 0.22/0.55 tff(325,plain,
% 0.22/0.55 (~(greater(hazard_of_mortality(X!4, T2!1), hazard_of_mortality(X!4, T1!2)) & (hazard_of_mortality(X!4, T1!2) = hazard_of_mortality(X!4, T0!3)))),
% 0.22/0.55 inference(or_elim,[status(thm)],[9])).
% 0.22/0.55 tff(326,plain,
% 0.22/0.55 ((~greater(hazard_of_mortality(X!4, T2!1), hazard_of_mortality(X!4, T1!2))) | (~(hazard_of_mortality(X!4, T1!2) = hazard_of_mortality(X!4, T0!3)))),
% 0.22/0.55 inference(modus_ponens,[status(thm)],[325, 324])).
% 0.22/0.55 tff(327,plain,
% 0.22/0.55 (~(hazard_of_mortality(X!4, T1!2) = hazard_of_mortality(X!4, T0!3))),
% 0.22/0.55 inference(unit_resolution,[status(thm)],[326, 320])).
% 0.22/0.55 tff(328,plain,
% 0.22/0.55 ($false),
% 0.22/0.55 inference(unit_resolution,[status(thm)],[327, 239])).
% 0.22/0.55 % SZS output end Proof
% 0.22/0.55 % E exiting
%------------------------------------------------------------------------------