%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : MGT059+1 : TPTP v9.3.0. Released v2.4.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : run_E %s %d THM
% Computer : n027.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 0.13s 0.41s
% Output : Proof 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT059+1 : TPTP v9.3.0. Released v2.4.0.
% 0.00/0.02 % Command : run_E %s %d THM
% 0.09/0.35 % Computer : n027.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 7 13:36:02 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.13/0.41 % SZS status Theorem
% 0.13/0.41 % SZS output start Proof
% 0.13/0.41 tff(hazard_of_mortality_type, type, (
% 0.13/0.41 hazard_of_mortality: ( $i * $i ) > $i)).
% 0.13/0.41 tff(tptp_fun_T_0_type, type, (
% 0.13/0.41 tptp_fun_T_0: $i)).
% 0.13/0.41 tff(tptp_fun_X_2_type, type, (
% 0.13/0.41 tptp_fun_X_2: $i)).
% 0.13/0.41 tff(tptp_fun_T0_1_type, type, (
% 0.13/0.41 tptp_fun_T0_1: $i)).
% 0.13/0.41 tff(very_low_type, type, (
% 0.13/0.41 very_low: $i)).
% 0.13/0.41 tff(has_immunity_type, type, (
% 0.13/0.41 has_immunity: ( $i * $i ) > $o)).
% 0.13/0.41 tff(high_type, type, (
% 0.13/0.41 high: $i)).
% 0.13/0.41 tff(is_aligned_type, type, (
% 0.13/0.41 is_aligned: ( $i * $i ) > $o)).
% 0.13/0.41 tff(positional_advantage_type, type, (
% 0.13/0.41 positional_advantage: ( $i * $i ) > $o)).
% 0.13/0.41 tff(mod2_type, type, (
% 0.13/0.41 mod2: $i)).
% 0.13/0.41 tff(mod1_type, type, (
% 0.13/0.41 mod1: $i)).
% 0.13/0.41 tff(low_type, type, (
% 0.13/0.41 low: $i)).
% 0.13/0.41 tff(organization_type, type, (
% 0.13/0.41 organization: $i > $o)).
% 0.13/0.41 tff(1,plain,
% 0.13/0.41 ((very_low = hazard_of_mortality(X!2, T!0)) <=> (hazard_of_mortality(X!2, T!0) = very_low)),
% 0.13/0.41 inference(commutativity,[status(thm)],[])).
% 0.13/0.41 tff(2,plain,
% 0.13/0.41 ((~![X: $i, T0: $i, T: $i] : ((~(organization(X) & has_immunity(X, T0) & has_immunity(X, T))) | (hazard_of_mortality(X, T0) = hazard_of_mortality(X, T)))) <=> (~![X: $i, T0: $i, T: $i] : ((~(organization(X) & has_immunity(X, T0) & has_immunity(X, T))) | (hazard_of_mortality(X, T0) = hazard_of_mortality(X, T))))),
% 0.13/0.41 inference(rewrite,[status(thm)],[])).
% 0.13/0.41 tff(3,plain,
% 0.13/0.41 ((~![X: $i, T0: $i, T: $i] : (((organization(X) & has_immunity(X, T0)) & has_immunity(X, T)) => (hazard_of_mortality(X, T0) = hazard_of_mortality(X, T)))) <=> (~![X: $i, T0: $i, T: $i] : ((~(organization(X) & has_immunity(X, T0) & has_immunity(X, T))) | (hazard_of_mortality(X, T0) = hazard_of_mortality(X, T))))),
% 0.13/0.41 inference(rewrite,[status(thm)],[])).
% 0.13/0.41 tff(4,axiom,(~![X: $i, T0: $i, T: $i] : (((organization(X) & has_immunity(X, T0)) & has_immunity(X, T)) => (hazard_of_mortality(X, T0) = hazard_of_mortality(X, T)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','assumption_2')).
% 0.13/0.41 tff(5,plain,
% 0.13/0.41 (~![X: $i, T0: $i, T: $i] : ((~(organization(X) & has_immunity(X, T0) & has_immunity(X, T))) | (hazard_of_mortality(X, T0) = hazard_of_mortality(X, T)))),
% 0.13/0.41 inference(modus_ponens,[status(thm)],[4, 3])).
% 0.13/0.41 tff(6,plain,
% 0.13/0.41 (~![X: $i, T0: $i, T: $i] : ((~(organization(X) & has_immunity(X, T0) & has_immunity(X, T))) | (hazard_of_mortality(X, T0) = hazard_of_mortality(X, T)))),
% 0.13/0.41 inference(modus_ponens,[status(thm)],[5, 2])).
% 0.13/0.41 tff(7,plain,
% 0.13/0.41 (~![X: $i, T0: $i, T: $i] : ((~(organization(X) & has_immunity(X, T0) & has_immunity(X, T))) | (hazard_of_mortality(X, T0) = hazard_of_mortality(X, T)))),
% 0.13/0.41 inference(modus_ponens,[status(thm)],[6, 2])).
% 0.13/0.41 tff(8,plain,
% 0.13/0.41 (~![X: $i, T0: $i, T: $i] : ((~(organization(X) & has_immunity(X, T0) & has_immunity(X, T))) | (hazard_of_mortality(X, T0) = hazard_of_mortality(X, T)))),
% 0.13/0.41 inference(modus_ponens,[status(thm)],[7, 2])).
% 0.13/0.41 tff(9,plain,(
% 0.13/0.41 ~((~(organization(X!2) & has_immunity(X!2, T0!1) & has_immunity(X!2, T!0))) | (hazard_of_mortality(X!2, T0!1) = hazard_of_mortality(X!2, T!0)))),
% 0.13/0.41 inference(skolemize,[status(sab)],[8])).
% 0.13/0.41 tff(10,plain,
% 0.13/0.41 (organization(X!2) & has_immunity(X!2, T0!1) & has_immunity(X!2, T!0)),
% 0.13/0.41 inference(or_elim,[status(thm)],[9])).
% 0.13/0.41 tff(11,plain,
% 0.13/0.41 (organization(X!2)),
% 0.13/0.41 inference(and_elim,[status(thm)],[10])).
% 0.13/0.41 tff(12,plain,
% 0.13/0.41 (^[X: $i, T: $i] : refl(((~organization(X)) | (~((~((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low))) | (~(has_immunity(X, T) | (~((~((~positional_advantage(X, T)) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = low))) | (~((~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))) | (~((hazard_of_mortality(X, T) = high) | positional_advantage(X, T) | is_aligned(X, T)))))))))) <=> ((~organization(X)) | (~((~((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low))) | (~(has_immunity(X, T) | (~((~((~positional_advantage(X, T)) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = low))) | (~((~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))) | (~((hazard_of_mortality(X, T) = high) | positional_advantage(X, T) | is_aligned(X, T)))))))))))),
% 0.13/0.41 inference(bind,[status(th)],[])).
% 0.13/0.41 tff(13,plain,
% 0.13/0.41 (![X: $i, T: $i] : ((~organization(X)) | (~((~((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low))) | (~(has_immunity(X, T) | (~((~((~positional_advantage(X, T)) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = low))) | (~((~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))) | (~((hazard_of_mortality(X, T) = high) | positional_advantage(X, T) | is_aligned(X, T)))))))))) <=> ![X: $i, T: $i] : ((~organization(X)) | (~((~((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low))) | (~(has_immunity(X, T) | (~((~((~positional_advantage(X, T)) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = low))) | (~((~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))) | (~((hazard_of_mortality(X, T) = high) | positional_advantage(X, T) | is_aligned(X, T))))))))))),
% 0.13/0.41 inference(quant_intro,[status(thm)],[12])).
% 0.13/0.41 tff(14,plain,
% 0.13/0.41 (^[X: $i, T: $i] : rewrite(((~organization(X)) | (((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low)) & (has_immunity(X, T) | (((~(is_aligned(X, T) & positional_advantage(X, T))) | (hazard_of_mortality(X, T) = low)) & ((~((~is_aligned(X, T)) & positional_advantage(X, T))) | (hazard_of_mortality(X, T) = mod1)) & ((~(is_aligned(X, T) & (~positional_advantage(X, T)))) | (hazard_of_mortality(X, T) = mod2)) & ((~((~is_aligned(X, T)) & (~positional_advantage(X, T)))) | (hazard_of_mortality(X, T) = high)))))) <=> ((~organization(X)) | (~((~((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low))) | (~(has_immunity(X, T) | (~((~((~positional_advantage(X, T)) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = low))) | (~((~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))) | (~((hazard_of_mortality(X, T) = high) | positional_advantage(X, T) | is_aligned(X, T)))))))))))),
% 0.13/0.41 inference(bind,[status(th)],[])).
% 0.13/0.41 tff(15,plain,
% 0.13/0.41 (![X: $i, T: $i] : ((~organization(X)) | (((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low)) & (has_immunity(X, T) | (((~(is_aligned(X, T) & positional_advantage(X, T))) | (hazard_of_mortality(X, T) = low)) & ((~((~is_aligned(X, T)) & positional_advantage(X, T))) | (hazard_of_mortality(X, T) = mod1)) & ((~(is_aligned(X, T) & (~positional_advantage(X, T)))) | (hazard_of_mortality(X, T) = mod2)) & ((~((~is_aligned(X, T)) & (~positional_advantage(X, T)))) | (hazard_of_mortality(X, T) = high)))))) <=> ![X: $i, T: $i] : ((~organization(X)) | (~((~((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low))) | (~(has_immunity(X, T) | (~((~((~positional_advantage(X, T)) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = low))) | (~((~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))) | (~((hazard_of_mortality(X, T) = high) | positional_advantage(X, T) | is_aligned(X, T))))))))))),
% 0.13/0.41 inference(quant_intro,[status(thm)],[14])).
% 0.13/0.41 tff(16,plain,
% 0.13/0.41 (![X: $i, T: $i] : ((~organization(X)) | (((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low)) & (has_immunity(X, T) | (((~(is_aligned(X, T) & positional_advantage(X, T))) | (hazard_of_mortality(X, T) = low)) & ((~((~is_aligned(X, T)) & positional_advantage(X, T))) | (hazard_of_mortality(X, T) = mod1)) & ((~(is_aligned(X, T) & (~positional_advantage(X, T)))) | (hazard_of_mortality(X, T) = mod2)) & ((~((~is_aligned(X, T)) & (~positional_advantage(X, T)))) | (hazard_of_mortality(X, T) = high)))))) <=> ![X: $i, T: $i] : ((~organization(X)) | (((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low)) & (has_immunity(X, T) | (((~(is_aligned(X, T) & positional_advantage(X, T))) | (hazard_of_mortality(X, T) = low)) & ((~((~is_aligned(X, T)) & positional_advantage(X, T))) | (hazard_of_mortality(X, T) = mod1)) & ((~(is_aligned(X, T) & (~positional_advantage(X, T)))) | (hazard_of_mortality(X, T) = mod2)) & ((~((~is_aligned(X, T)) & (~positional_advantage(X, T)))) | (hazard_of_mortality(X, T) = high))))))),
% 0.13/0.41 inference(rewrite,[status(thm)],[])).
% 0.13/0.41 tff(17,plain,
% 0.13/0.41 (^[X: $i, T: $i] : trans(monotonicity(rewrite(((has_immunity(X, T) => (hazard_of_mortality(X, T) = very_low)) & ((~has_immunity(X, T)) => (((((is_aligned(X, T) & positional_advantage(X, T)) => (hazard_of_mortality(X, T) = low)) & (((~is_aligned(X, T)) & positional_advantage(X, T)) => (hazard_of_mortality(X, T) = mod1))) & ((is_aligned(X, T) & (~positional_advantage(X, T))) => (hazard_of_mortality(X, T) = mod2))) & (((~is_aligned(X, T)) & (~positional_advantage(X, T))) => (hazard_of_mortality(X, T) = high))))) <=> (((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low)) & (has_immunity(X, T) | (((~(is_aligned(X, T) & positional_advantage(X, T))) | (hazard_of_mortality(X, T) = low)) & ((~((~is_aligned(X, T)) & positional_advantage(X, T))) | (hazard_of_mortality(X, T) = mod1)) & ((~(is_aligned(X, T) & (~positional_advantage(X, T)))) | (hazard_of_mortality(X, T) = mod2)) & ((~((~is_aligned(X, T)) & (~positional_advantage(X, T)))) | (hazard_of_mortality(X, T) = high)))))), ((organization(X) => ((has_immunity(X, T) => (hazard_of_mortality(X, T) = very_low)) & ((~has_immunity(X, T)) => (((((is_aligned(X, T) & positional_advantage(X, T)) => (hazard_of_mortality(X, T) = low)) & (((~is_aligned(X, T)) & positional_advantage(X, T)) => (hazard_of_mortality(X, T) = mod1))) & ((is_aligned(X, T) & (~positional_advantage(X, T))) => (hazard_of_mortality(X, T) = mod2))) & (((~is_aligned(X, T)) & (~positional_advantage(X, T))) => (hazard_of_mortality(X, T) = high)))))) <=> (organization(X) => (((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low)) & (has_immunity(X, T) | (((~(is_aligned(X, T) & positional_advantage(X, T))) | (hazard_of_mortality(X, T) = low)) & ((~((~is_aligned(X, T)) & positional_advantage(X, T))) | (hazard_of_mortality(X, T) = mod1)) & ((~(is_aligned(X, T) & (~positional_advantage(X, T)))) | (hazard_of_mortality(X, T) = mod2)) & ((~((~is_aligned(X, T)) & (~positional_advantage(X, T)))) | (hazard_of_mortality(X, T) = high)))))))), rewrite((organization(X) => (((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low)) & (has_immunity(X, T) | (((~(is_aligned(X, T) & positional_advantage(X, T))) | (hazard_of_mortality(X, T) = low)) & ((~((~is_aligned(X, T)) & positional_advantage(X, T))) | (hazard_of_mortality(X, T) = mod1)) & ((~(is_aligned(X, T) & (~positional_advantage(X, T)))) | (hazard_of_mortality(X, T) = mod2)) & ((~((~is_aligned(X, T)) & (~positional_advantage(X, T)))) | (hazard_of_mortality(X, T) = high)))))) <=> ((~organization(X)) | (((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low)) & (has_immunity(X, T) | (((~(is_aligned(X, T) & positional_advantage(X, T))) | (hazard_of_mortality(X, T) = low)) & ((~((~is_aligned(X, T)) & positional_advantage(X, T))) | (hazard_of_mortality(X, T) = mod1)) & ((~(is_aligned(X, T) & (~positional_advantage(X, T)))) | (hazard_of_mortality(X, T) = mod2)) & ((~((~is_aligned(X, T)) & (~positional_advantage(X, T)))) | (hazard_of_mortality(X, T) = high))))))), ((organization(X) => ((has_immunity(X, T) => (hazard_of_mortality(X, T) = very_low)) & ((~has_immunity(X, T)) => (((((is_aligned(X, T) & positional_advantage(X, T)) => (hazard_of_mortality(X, T) = low)) & (((~is_aligned(X, T)) & positional_advantage(X, T)) => (hazard_of_mortality(X, T) = mod1))) & ((is_aligned(X, T) & (~positional_advantage(X, T))) => (hazard_of_mortality(X, T) = mod2))) & (((~is_aligned(X, T)) & (~positional_advantage(X, T))) => (hazard_of_mortality(X, T) = high)))))) <=> ((~organization(X)) | (((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low)) & (has_immunity(X, T) | (((~(is_aligned(X, T) & positional_advantage(X, T))) | (hazard_of_mortality(X, T) = low)) & ((~((~is_aligned(X, T)) & positional_advantage(X, T))) | (hazard_of_mortality(X, T) = mod1)) & ((~(is_aligned(X, T) & (~positional_advantage(X, T)))) | (hazard_of_mortality(X, T) = mod2)) & ((~((~is_aligned(X, T)) & (~positional_advantage(X, T)))) | (hazard_of_mortality(X, T) = high))))))))),
% 0.13/0.41 inference(bind,[status(th)],[])).
% 0.13/0.41 tff(18,plain,
% 0.13/0.41 (![X: $i, T: $i] : (organization(X) => ((has_immunity(X, T) => (hazard_of_mortality(X, T) = very_low)) & ((~has_immunity(X, T)) => (((((is_aligned(X, T) & positional_advantage(X, T)) => (hazard_of_mortality(X, T) = low)) & (((~is_aligned(X, T)) & positional_advantage(X, T)) => (hazard_of_mortality(X, T) = mod1))) & ((is_aligned(X, T) & (~positional_advantage(X, T))) => (hazard_of_mortality(X, T) = mod2))) & (((~is_aligned(X, T)) & (~positional_advantage(X, T))) => (hazard_of_mortality(X, T) = high)))))) <=> ![X: $i, T: $i] : ((~organization(X)) | (((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low)) & (has_immunity(X, T) | (((~(is_aligned(X, T) & positional_advantage(X, T))) | (hazard_of_mortality(X, T) = low)) & ((~((~is_aligned(X, T)) & positional_advantage(X, T))) | (hazard_of_mortality(X, T) = mod1)) & ((~(is_aligned(X, T) & (~positional_advantage(X, T)))) | (hazard_of_mortality(X, T) = mod2)) & ((~((~is_aligned(X, T)) & (~positional_advantage(X, T)))) | (hazard_of_mortality(X, T) = high))))))),
% 0.13/0.41 inference(quant_intro,[status(thm)],[17])).
% 0.13/0.41 tff(19,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')).
% 0.13/0.41 tff(20,plain,
% 0.13/0.41 (![X: $i, T: $i] : ((~organization(X)) | (((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low)) & (has_immunity(X, T) | (((~(is_aligned(X, T) & positional_advantage(X, T))) | (hazard_of_mortality(X, T) = low)) & ((~((~is_aligned(X, T)) & positional_advantage(X, T))) | (hazard_of_mortality(X, T) = mod1)) & ((~(is_aligned(X, T) & (~positional_advantage(X, T)))) | (hazard_of_mortality(X, T) = mod2)) & ((~((~is_aligned(X, T)) & (~positional_advantage(X, T)))) | (hazard_of_mortality(X, T) = high))))))),
% 0.13/0.41 inference(modus_ponens,[status(thm)],[19, 18])).
% 0.13/0.41 tff(21,plain,
% 0.13/0.41 (![X: $i, T: $i] : ((~organization(X)) | (((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low)) & (has_immunity(X, T) | (((~(is_aligned(X, T) & positional_advantage(X, T))) | (hazard_of_mortality(X, T) = low)) & ((~((~is_aligned(X, T)) & positional_advantage(X, T))) | (hazard_of_mortality(X, T) = mod1)) & ((~(is_aligned(X, T) & (~positional_advantage(X, T)))) | (hazard_of_mortality(X, T) = mod2)) & ((~((~is_aligned(X, T)) & (~positional_advantage(X, T)))) | (hazard_of_mortality(X, T) = high))))))),
% 0.13/0.41 inference(modus_ponens,[status(thm)],[20, 16])).
% 0.13/0.41 tff(22,plain,(
% 0.13/0.41 ![X: $i, T: $i] : ((~organization(X)) | (((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low)) & (has_immunity(X, T) | (((~(is_aligned(X, T) & positional_advantage(X, T))) | (hazard_of_mortality(X, T) = low)) & ((~((~is_aligned(X, T)) & positional_advantage(X, T))) | (hazard_of_mortality(X, T) = mod1)) & ((~(is_aligned(X, T) & (~positional_advantage(X, T)))) | (hazard_of_mortality(X, T) = mod2)) & ((~((~is_aligned(X, T)) & (~positional_advantage(X, T)))) | (hazard_of_mortality(X, T) = high))))))),
% 0.13/0.41 inference(skolemize,[status(sab)],[21])).
% 0.13/0.41 tff(23,plain,
% 0.13/0.41 (![X: $i, T: $i] : ((~organization(X)) | (~((~((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low))) | (~(has_immunity(X, T) | (~((~((~positional_advantage(X, T)) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = low))) | (~((~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))) | (~((hazard_of_mortality(X, T) = high) | positional_advantage(X, T) | is_aligned(X, T))))))))))),
% 0.13/0.41 inference(modus_ponens,[status(thm)],[22, 15])).
% 0.13/0.41 tff(24,plain,
% 0.13/0.41 (![X: $i, T: $i] : ((~organization(X)) | (~((~((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low))) | (~(has_immunity(X, T) | (~((~((~positional_advantage(X, T)) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = low))) | (~((~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))) | (~((hazard_of_mortality(X, T) = high) | positional_advantage(X, T) | is_aligned(X, T))))))))))),
% 0.13/0.41 inference(modus_ponens,[status(thm)],[23, 13])).
% 0.13/0.41 tff(25,plain,
% 0.13/0.41 (((~![X: $i, T: $i] : ((~organization(X)) | (~((~((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low))) | (~(has_immunity(X, T) | (~((~((~positional_advantage(X, T)) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = low))) | (~((~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))) | (~((hazard_of_mortality(X, T) = high) | positional_advantage(X, T) | is_aligned(X, T))))))))))) | ((~organization(X!2)) | (~((~((~has_immunity(X!2, T0!1)) | (hazard_of_mortality(X!2, T0!1) = very_low))) | (~(has_immunity(X!2, T0!1) | (~((~((~positional_advantage(X!2, T0!1)) | (~is_aligned(X!2, T0!1)) | (hazard_of_mortality(X!2, T0!1) = low))) | (~((~positional_advantage(X!2, T0!1)) | is_aligned(X!2, T0!1) | (hazard_of_mortality(X!2, T0!1) = mod1))) | (~(positional_advantage(X!2, T0!1) | (~is_aligned(X!2, T0!1)) | (hazard_of_mortality(X!2, T0!1) = mod2))) | (~(positional_advantage(X!2, T0!1) | is_aligned(X!2, T0!1) | (hazard_of_mortality(X!2, T0!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))) | (~((hazard_of_mortality(X, T) = high) | positional_advantage(X, T) | is_aligned(X, T))))))))))) | (~organization(X!2)) | (~((~((~has_immunity(X!2, T0!1)) | (hazard_of_mortality(X!2, T0!1) = very_low))) | (~(has_immunity(X!2, T0!1) | (~((~((~positional_advantage(X!2, T0!1)) | (~is_aligned(X!2, T0!1)) | (hazard_of_mortality(X!2, T0!1) = low))) | (~((~positional_advantage(X!2, T0!1)) | is_aligned(X!2, T0!1) | (hazard_of_mortality(X!2, T0!1) = mod1))) | (~(positional_advantage(X!2, T0!1) | (~is_aligned(X!2, T0!1)) | (hazard_of_mortality(X!2, T0!1) = mod2))) | (~(positional_advantage(X!2, T0!1) | is_aligned(X!2, T0!1) | (hazard_of_mortality(X!2, T0!1) = high))))))))))),
% 0.13/0.41 inference(rewrite,[status(thm)],[])).
% 0.13/0.41 tff(26,plain,
% 0.13/0.41 (((~organization(X!2)) | (~((~((~has_immunity(X!2, T0!1)) | (hazard_of_mortality(X!2, T0!1) = very_low))) | (~(has_immunity(X!2, T0!1) | (~((~((~positional_advantage(X!2, T0!1)) | (~is_aligned(X!2, T0!1)) | (hazard_of_mortality(X!2, T0!1) = low))) | (~((~positional_advantage(X!2, T0!1)) | is_aligned(X!2, T0!1) | (hazard_of_mortality(X!2, T0!1) = mod1))) | (~(positional_advantage(X!2, T0!1) | (~is_aligned(X!2, T0!1)) | (hazard_of_mortality(X!2, T0!1) = mod2))) | (~((hazard_of_mortality(X!2, T0!1) = high) | positional_advantage(X!2, T0!1) | is_aligned(X!2, T0!1)))))))))) <=> ((~organization(X!2)) | (~((~((~has_immunity(X!2, T0!1)) | (hazard_of_mortality(X!2, T0!1) = very_low))) | (~(has_immunity(X!2, T0!1) | (~((~((~positional_advantage(X!2, T0!1)) | (~is_aligned(X!2, T0!1)) | (hazard_of_mortality(X!2, T0!1) = low))) | (~((~positional_advantage(X!2, T0!1)) | is_aligned(X!2, T0!1) | (hazard_of_mortality(X!2, T0!1) = mod1))) | (~(positional_advantage(X!2, T0!1) | (~is_aligned(X!2, T0!1)) | (hazard_of_mortality(X!2, T0!1) = mod2))) | (~(positional_advantage(X!2, T0!1) | is_aligned(X!2, T0!1) | (hazard_of_mortality(X!2, T0!1) = high))))))))))),
% 0.13/0.42 inference(rewrite,[status(thm)],[])).
% 0.13/0.42 tff(27,plain,
% 0.13/0.42 (((~![X: $i, T: $i] : ((~organization(X)) | (~((~((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low))) | (~(has_immunity(X, T) | (~((~((~positional_advantage(X, T)) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = low))) | (~((~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))) | (~((hazard_of_mortality(X, T) = high) | positional_advantage(X, T) | is_aligned(X, T))))))))))) | ((~organization(X!2)) | (~((~((~has_immunity(X!2, T0!1)) | (hazard_of_mortality(X!2, T0!1) = very_low))) | (~(has_immunity(X!2, T0!1) | (~((~((~positional_advantage(X!2, T0!1)) | (~is_aligned(X!2, T0!1)) | (hazard_of_mortality(X!2, T0!1) = low))) | (~((~positional_advantage(X!2, T0!1)) | is_aligned(X!2, T0!1) | (hazard_of_mortality(X!2, T0!1) = mod1))) | (~(positional_advantage(X!2, T0!1) | (~is_aligned(X!2, T0!1)) | (hazard_of_mortality(X!2, T0!1) = mod2))) | (~((hazard_of_mortality(X!2, T0!1) = high) | positional_advantage(X!2, T0!1) | is_aligned(X!2, T0!1))))))))))) <=> ((~![X: $i, T: $i] : ((~organization(X)) | (~((~((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low))) | (~(has_immunity(X, T) | (~((~((~positional_advantage(X, T)) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = low))) | (~((~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))) | (~((hazard_of_mortality(X, T) = high) | positional_advantage(X, T) | is_aligned(X, T))))))))))) | ((~organization(X!2)) | (~((~((~has_immunity(X!2, T0!1)) | (hazard_of_mortality(X!2, T0!1) = very_low))) | (~(has_immunity(X!2, T0!1) | (~((~((~positional_advantage(X!2, T0!1)) | (~is_aligned(X!2, T0!1)) | (hazard_of_mortality(X!2, T0!1) = low))) | (~((~positional_advantage(X!2, T0!1)) | is_aligned(X!2, T0!1) | (hazard_of_mortality(X!2, T0!1) = mod1))) | (~(positional_advantage(X!2, T0!1) | (~is_aligned(X!2, T0!1)) | (hazard_of_mortality(X!2, T0!1) = mod2))) | (~(positional_advantage(X!2, T0!1) | is_aligned(X!2, T0!1) | (hazard_of_mortality(X!2, T0!1) = high)))))))))))),
% 0.13/0.42 inference(monotonicity,[status(thm)],[26])).
% 0.13/0.42 tff(28,plain,
% 0.13/0.42 (((~![X: $i, T: $i] : ((~organization(X)) | (~((~((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low))) | (~(has_immunity(X, T) | (~((~((~positional_advantage(X, T)) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = low))) | (~((~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))) | (~((hazard_of_mortality(X, T) = high) | positional_advantage(X, T) | is_aligned(X, T))))))))))) | ((~organization(X!2)) | (~((~((~has_immunity(X!2, T0!1)) | (hazard_of_mortality(X!2, T0!1) = very_low))) | (~(has_immunity(X!2, T0!1) | (~((~((~positional_advantage(X!2, T0!1)) | (~is_aligned(X!2, T0!1)) | (hazard_of_mortality(X!2, T0!1) = low))) | (~((~positional_advantage(X!2, T0!1)) | is_aligned(X!2, T0!1) | (hazard_of_mortality(X!2, T0!1) = mod1))) | (~(positional_advantage(X!2, T0!1) | (~is_aligned(X!2, T0!1)) | (hazard_of_mortality(X!2, T0!1) = mod2))) | (~((hazard_of_mortality(X!2, T0!1) = high) | positional_advantage(X!2, T0!1) | is_aligned(X!2, T0!1))))))))))) <=> ((~![X: $i, T: $i] : ((~organization(X)) | (~((~((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low))) | (~(has_immunity(X, T) | (~((~((~positional_advantage(X, T)) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = low))) | (~((~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))) | (~((hazard_of_mortality(X, T) = high) | positional_advantage(X, T) | is_aligned(X, T))))))))))) | (~organization(X!2)) | (~((~((~has_immunity(X!2, T0!1)) | (hazard_of_mortality(X!2, T0!1) = very_low))) | (~(has_immunity(X!2, T0!1) | (~((~((~positional_advantage(X!2, T0!1)) | (~is_aligned(X!2, T0!1)) | (hazard_of_mortality(X!2, T0!1) = low))) | (~((~positional_advantage(X!2, T0!1)) | is_aligned(X!2, T0!1) | (hazard_of_mortality(X!2, T0!1) = mod1))) | (~(positional_advantage(X!2, T0!1) | (~is_aligned(X!2, T0!1)) | (hazard_of_mortality(X!2, T0!1) = mod2))) | (~(positional_advantage(X!2, T0!1) | is_aligned(X!2, T0!1) | (hazard_of_mortality(X!2, T0!1) = high))))))))))),
% 0.13/0.42 inference(transitivity,[status(thm)],[27, 25])).
% 0.13/0.42 tff(29,plain,
% 0.13/0.42 ((~![X: $i, T: $i] : ((~organization(X)) | (~((~((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low))) | (~(has_immunity(X, T) | (~((~((~positional_advantage(X, T)) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = low))) | (~((~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))) | (~((hazard_of_mortality(X, T) = high) | positional_advantage(X, T) | is_aligned(X, T))))))))))) | ((~organization(X!2)) | (~((~((~has_immunity(X!2, T0!1)) | (hazard_of_mortality(X!2, T0!1) = very_low))) | (~(has_immunity(X!2, T0!1) | (~((~((~positional_advantage(X!2, T0!1)) | (~is_aligned(X!2, T0!1)) | (hazard_of_mortality(X!2, T0!1) = low))) | (~((~positional_advantage(X!2, T0!1)) | is_aligned(X!2, T0!1) | (hazard_of_mortality(X!2, T0!1) = mod1))) | (~(positional_advantage(X!2, T0!1) | (~is_aligned(X!2, T0!1)) | (hazard_of_mortality(X!2, T0!1) = mod2))) | (~((hazard_of_mortality(X!2, T0!1) = high) | positional_advantage(X!2, T0!1) | is_aligned(X!2, T0!1))))))))))),
% 0.13/0.42 inference(quant_inst,[status(thm)],[])).
% 0.13/0.42 tff(30,plain,
% 0.13/0.42 ((~![X: $i, T: $i] : ((~organization(X)) | (~((~((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low))) | (~(has_immunity(X, T) | (~((~((~positional_advantage(X, T)) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = low))) | (~((~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))) | (~((hazard_of_mortality(X, T) = high) | positional_advantage(X, T) | is_aligned(X, T))))))))))) | (~organization(X!2)) | (~((~((~has_immunity(X!2, T0!1)) | (hazard_of_mortality(X!2, T0!1) = very_low))) | (~(has_immunity(X!2, T0!1) | (~((~((~positional_advantage(X!2, T0!1)) | (~is_aligned(X!2, T0!1)) | (hazard_of_mortality(X!2, T0!1) = low))) | (~((~positional_advantage(X!2, T0!1)) | is_aligned(X!2, T0!1) | (hazard_of_mortality(X!2, T0!1) = mod1))) | (~(positional_advantage(X!2, T0!1) | (~is_aligned(X!2, T0!1)) | (hazard_of_mortality(X!2, T0!1) = mod2))) | (~(positional_advantage(X!2, T0!1) | is_aligned(X!2, T0!1) | (hazard_of_mortality(X!2, T0!1) = high)))))))))),
% 0.13/0.42 inference(modus_ponens,[status(thm)],[29, 28])).
% 0.13/0.42 tff(31,plain,
% 0.13/0.42 (~((~((~has_immunity(X!2, T0!1)) | (hazard_of_mortality(X!2, T0!1) = very_low))) | (~(has_immunity(X!2, T0!1) | (~((~((~positional_advantage(X!2, T0!1)) | (~is_aligned(X!2, T0!1)) | (hazard_of_mortality(X!2, T0!1) = low))) | (~((~positional_advantage(X!2, T0!1)) | is_aligned(X!2, T0!1) | (hazard_of_mortality(X!2, T0!1) = mod1))) | (~(positional_advantage(X!2, T0!1) | (~is_aligned(X!2, T0!1)) | (hazard_of_mortality(X!2, T0!1) = mod2))) | (~(positional_advantage(X!2, T0!1) | is_aligned(X!2, T0!1) | (hazard_of_mortality(X!2, T0!1) = high))))))))),
% 0.13/0.42 inference(unit_resolution,[status(thm)],[30, 24, 11])).
% 0.13/0.42 tff(32,plain,
% 0.13/0.42 (((~((~has_immunity(X!2, T0!1)) | (hazard_of_mortality(X!2, T0!1) = very_low))) | (~(has_immunity(X!2, T0!1) | (~((~((~positional_advantage(X!2, T0!1)) | (~is_aligned(X!2, T0!1)) | (hazard_of_mortality(X!2, T0!1) = low))) | (~((~positional_advantage(X!2, T0!1)) | is_aligned(X!2, T0!1) | (hazard_of_mortality(X!2, T0!1) = mod1))) | (~(positional_advantage(X!2, T0!1) | (~is_aligned(X!2, T0!1)) | (hazard_of_mortality(X!2, T0!1) = mod2))) | (~(positional_advantage(X!2, T0!1) | is_aligned(X!2, T0!1) | (hazard_of_mortality(X!2, T0!1) = high)))))))) | ((~has_immunity(X!2, T0!1)) | (hazard_of_mortality(X!2, T0!1) = very_low))),
% 0.13/0.42 inference(tautology,[status(thm)],[])).
% 0.13/0.42 tff(33,plain,
% 0.13/0.42 ((~has_immunity(X!2, T0!1)) | (hazard_of_mortality(X!2, T0!1) = very_low)),
% 0.13/0.42 inference(unit_resolution,[status(thm)],[32, 31])).
% 0.13/0.42 tff(34,plain,
% 0.13/0.42 (has_immunity(X!2, T0!1)),
% 0.13/0.42 inference(and_elim,[status(thm)],[10])).
% 0.13/0.42 tff(35,plain,
% 0.13/0.42 ((~((~has_immunity(X!2, T0!1)) | (hazard_of_mortality(X!2, T0!1) = very_low))) | (~has_immunity(X!2, T0!1)) | (hazard_of_mortality(X!2, T0!1) = very_low)),
% 0.13/0.42 inference(tautology,[status(thm)],[])).
% 0.13/0.42 tff(36,plain,
% 0.13/0.42 ((~((~has_immunity(X!2, T0!1)) | (hazard_of_mortality(X!2, T0!1) = very_low))) | (hazard_of_mortality(X!2, T0!1) = very_low)),
% 0.13/0.42 inference(unit_resolution,[status(thm)],[35, 34])).
% 0.13/0.42 tff(37,plain,
% 0.13/0.42 (hazard_of_mortality(X!2, T0!1) = very_low),
% 0.13/0.42 inference(unit_resolution,[status(thm)],[36, 33])).
% 0.13/0.42 tff(38,plain,
% 0.13/0.42 ((hazard_of_mortality(X!2, T0!1) = hazard_of_mortality(X!2, T!0)) <=> (very_low = hazard_of_mortality(X!2, T!0))),
% 0.13/0.42 inference(monotonicity,[status(thm)],[37])).
% 0.13/0.42 tff(39,plain,
% 0.13/0.42 ((hazard_of_mortality(X!2, T0!1) = hazard_of_mortality(X!2, T!0)) <=> (hazard_of_mortality(X!2, T!0) = very_low)),
% 0.13/0.42 inference(transitivity,[status(thm)],[38, 1])).
% 0.13/0.42 tff(40,plain,
% 0.13/0.42 ((hazard_of_mortality(X!2, T!0) = very_low) <=> (hazard_of_mortality(X!2, T0!1) = hazard_of_mortality(X!2, T!0))),
% 0.13/0.42 inference(symmetry,[status(thm)],[39])).
% 0.13/0.42 tff(41,plain,
% 0.13/0.42 (((~![X: $i, T: $i] : ((~organization(X)) | (~((~((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low))) | (~(has_immunity(X, T) | (~((~((~positional_advantage(X, T)) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = low))) | (~((~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))) | (~((hazard_of_mortality(X, T) = high) | positional_advantage(X, T) | is_aligned(X, T))))))))))) | ((~organization(X!2)) | (~((~((~has_immunity(X!2, T!0)) | (hazard_of_mortality(X!2, T!0) = very_low))) | (~(has_immunity(X!2, T!0) | (~((~((~positional_advantage(X!2, T!0)) | (~is_aligned(X!2, T!0)) | (hazard_of_mortality(X!2, T!0) = low))) | (~((~positional_advantage(X!2, T!0)) | is_aligned(X!2, T!0) | (hazard_of_mortality(X!2, T!0) = mod1))) | (~(positional_advantage(X!2, T!0) | (~is_aligned(X!2, T!0)) | (hazard_of_mortality(X!2, T!0) = mod2))) | (~(positional_advantage(X!2, T!0) | is_aligned(X!2, T!0) | (hazard_of_mortality(X!2, T!0) = 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))) | (~((hazard_of_mortality(X, T) = high) | positional_advantage(X, T) | is_aligned(X, T))))))))))) | (~organization(X!2)) | (~((~((~has_immunity(X!2, T!0)) | (hazard_of_mortality(X!2, T!0) = very_low))) | (~(has_immunity(X!2, T!0) | (~((~((~positional_advantage(X!2, T!0)) | (~is_aligned(X!2, T!0)) | (hazard_of_mortality(X!2, T!0) = low))) | (~((~positional_advantage(X!2, T!0)) | is_aligned(X!2, T!0) | (hazard_of_mortality(X!2, T!0) = mod1))) | (~(positional_advantage(X!2, T!0) | (~is_aligned(X!2, T!0)) | (hazard_of_mortality(X!2, T!0) = mod2))) | (~(positional_advantage(X!2, T!0) | is_aligned(X!2, T!0) | (hazard_of_mortality(X!2, T!0) = high))))))))))),
% 0.13/0.42 inference(rewrite,[status(thm)],[])).
% 0.13/0.42 tff(42,plain,
% 0.13/0.42 (((~organization(X!2)) | (~((~((~has_immunity(X!2, T!0)) | (hazard_of_mortality(X!2, T!0) = very_low))) | (~(has_immunity(X!2, T!0) | (~((~((~positional_advantage(X!2, T!0)) | (~is_aligned(X!2, T!0)) | (hazard_of_mortality(X!2, T!0) = low))) | (~((~positional_advantage(X!2, T!0)) | is_aligned(X!2, T!0) | (hazard_of_mortality(X!2, T!0) = mod1))) | (~(positional_advantage(X!2, T!0) | (~is_aligned(X!2, T!0)) | (hazard_of_mortality(X!2, T!0) = mod2))) | (~((hazard_of_mortality(X!2, T!0) = high) | positional_advantage(X!2, T!0) | is_aligned(X!2, T!0)))))))))) <=> ((~organization(X!2)) | (~((~((~has_immunity(X!2, T!0)) | (hazard_of_mortality(X!2, T!0) = very_low))) | (~(has_immunity(X!2, T!0) | (~((~((~positional_advantage(X!2, T!0)) | (~is_aligned(X!2, T!0)) | (hazard_of_mortality(X!2, T!0) = low))) | (~((~positional_advantage(X!2, T!0)) | is_aligned(X!2, T!0) | (hazard_of_mortality(X!2, T!0) = mod1))) | (~(positional_advantage(X!2, T!0) | (~is_aligned(X!2, T!0)) | (hazard_of_mortality(X!2, T!0) = mod2))) | (~(positional_advantage(X!2, T!0) | is_aligned(X!2, T!0) | (hazard_of_mortality(X!2, T!0) = high))))))))))),
% 0.13/0.42 inference(rewrite,[status(thm)],[])).
% 0.13/0.42 tff(43,plain,
% 0.13/0.42 (((~![X: $i, T: $i] : ((~organization(X)) | (~((~((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low))) | (~(has_immunity(X, T) | (~((~((~positional_advantage(X, T)) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = low))) | (~((~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))) | (~((hazard_of_mortality(X, T) = high) | positional_advantage(X, T) | is_aligned(X, T))))))))))) | ((~organization(X!2)) | (~((~((~has_immunity(X!2, T!0)) | (hazard_of_mortality(X!2, T!0) = very_low))) | (~(has_immunity(X!2, T!0) | (~((~((~positional_advantage(X!2, T!0)) | (~is_aligned(X!2, T!0)) | (hazard_of_mortality(X!2, T!0) = low))) | (~((~positional_advantage(X!2, T!0)) | is_aligned(X!2, T!0) | (hazard_of_mortality(X!2, T!0) = mod1))) | (~(positional_advantage(X!2, T!0) | (~is_aligned(X!2, T!0)) | (hazard_of_mortality(X!2, T!0) = mod2))) | (~((hazard_of_mortality(X!2, T!0) = high) | positional_advantage(X!2, T!0) | is_aligned(X!2, T!0))))))))))) <=> ((~![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))) | (~((hazard_of_mortality(X, T) = high) | positional_advantage(X, T) | is_aligned(X, T))))))))))) | ((~organization(X!2)) | (~((~((~has_immunity(X!2, T!0)) | (hazard_of_mortality(X!2, T!0) = very_low))) | (~(has_immunity(X!2, T!0) | (~((~((~positional_advantage(X!2, T!0)) | (~is_aligned(X!2, T!0)) | (hazard_of_mortality(X!2, T!0) = low))) | (~((~positional_advantage(X!2, T!0)) | is_aligned(X!2, T!0) | (hazard_of_mortality(X!2, T!0) = mod1))) | (~(positional_advantage(X!2, T!0) | (~is_aligned(X!2, T!0)) | (hazard_of_mortality(X!2, T!0) = mod2))) | (~(positional_advantage(X!2, T!0) | is_aligned(X!2, T!0) | (hazard_of_mortality(X!2, T!0) = high)))))))))))),
% 0.13/0.43 inference(monotonicity,[status(thm)],[42])).
% 0.13/0.43 tff(44,plain,
% 0.13/0.43 (((~![X: $i, T: $i] : ((~organization(X)) | (~((~((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low))) | (~(has_immunity(X, T) | (~((~((~positional_advantage(X, T)) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = low))) | (~((~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))) | (~((hazard_of_mortality(X, T) = high) | positional_advantage(X, T) | is_aligned(X, T))))))))))) | ((~organization(X!2)) | (~((~((~has_immunity(X!2, T!0)) | (hazard_of_mortality(X!2, T!0) = very_low))) | (~(has_immunity(X!2, T!0) | (~((~((~positional_advantage(X!2, T!0)) | (~is_aligned(X!2, T!0)) | (hazard_of_mortality(X!2, T!0) = low))) | (~((~positional_advantage(X!2, T!0)) | is_aligned(X!2, T!0) | (hazard_of_mortality(X!2, T!0) = mod1))) | (~(positional_advantage(X!2, T!0) | (~is_aligned(X!2, T!0)) | (hazard_of_mortality(X!2, T!0) = mod2))) | (~((hazard_of_mortality(X!2, T!0) = high) | positional_advantage(X!2, T!0) | is_aligned(X!2, T!0))))))))))) <=> ((~![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))) | (~((hazard_of_mortality(X, T) = high) | positional_advantage(X, T) | is_aligned(X, T))))))))))) | (~organization(X!2)) | (~((~((~has_immunity(X!2, T!0)) | (hazard_of_mortality(X!2, T!0) = very_low))) | (~(has_immunity(X!2, T!0) | (~((~((~positional_advantage(X!2, T!0)) | (~is_aligned(X!2, T!0)) | (hazard_of_mortality(X!2, T!0) = low))) | (~((~positional_advantage(X!2, T!0)) | is_aligned(X!2, T!0) | (hazard_of_mortality(X!2, T!0) = mod1))) | (~(positional_advantage(X!2, T!0) | (~is_aligned(X!2, T!0)) | (hazard_of_mortality(X!2, T!0) = mod2))) | (~(positional_advantage(X!2, T!0) | is_aligned(X!2, T!0) | (hazard_of_mortality(X!2, T!0) = high))))))))))),
% 0.13/0.43 inference(transitivity,[status(thm)],[43, 41])).
% 0.13/0.43 tff(45,plain,
% 0.13/0.43 ((~![X: $i, T: $i] : ((~organization(X)) | (~((~((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low))) | (~(has_immunity(X, T) | (~((~((~positional_advantage(X, T)) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = low))) | (~((~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))) | (~((hazard_of_mortality(X, T) = high) | positional_advantage(X, T) | is_aligned(X, T))))))))))) | ((~organization(X!2)) | (~((~((~has_immunity(X!2, T!0)) | (hazard_of_mortality(X!2, T!0) = very_low))) | (~(has_immunity(X!2, T!0) | (~((~((~positional_advantage(X!2, T!0)) | (~is_aligned(X!2, T!0)) | (hazard_of_mortality(X!2, T!0) = low))) | (~((~positional_advantage(X!2, T!0)) | is_aligned(X!2, T!0) | (hazard_of_mortality(X!2, T!0) = mod1))) | (~(positional_advantage(X!2, T!0) | (~is_aligned(X!2, T!0)) | (hazard_of_mortality(X!2, T!0) = mod2))) | (~((hazard_of_mortality(X!2, T!0) = high) | positional_advantage(X!2, T!0) | is_aligned(X!2, T!0))))))))))),
% 0.13/0.43 inference(quant_inst,[status(thm)],[])).
% 0.13/0.43 tff(46,plain,
% 0.13/0.43 ((~![X: $i, T: $i] : ((~organization(X)) | (~((~((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low))) | (~(has_immunity(X, T) | (~((~((~positional_advantage(X, T)) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = low))) | (~((~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))) | (~((hazard_of_mortality(X, T) = high) | positional_advantage(X, T) | is_aligned(X, T))))))))))) | (~organization(X!2)) | (~((~((~has_immunity(X!2, T!0)) | (hazard_of_mortality(X!2, T!0) = very_low))) | (~(has_immunity(X!2, T!0) | (~((~((~positional_advantage(X!2, T!0)) | (~is_aligned(X!2, T!0)) | (hazard_of_mortality(X!2, T!0) = low))) | (~((~positional_advantage(X!2, T!0)) | is_aligned(X!2, T!0) | (hazard_of_mortality(X!2, T!0) = mod1))) | (~(positional_advantage(X!2, T!0) | (~is_aligned(X!2, T!0)) | (hazard_of_mortality(X!2, T!0) = mod2))) | (~(positional_advantage(X!2, T!0) | is_aligned(X!2, T!0) | (hazard_of_mortality(X!2, T!0) = high)))))))))),
% 0.13/0.43 inference(modus_ponens,[status(thm)],[45, 44])).
% 0.13/0.43 tff(47,plain,
% 0.13/0.43 (~((~((~has_immunity(X!2, T!0)) | (hazard_of_mortality(X!2, T!0) = very_low))) | (~(has_immunity(X!2, T!0) | (~((~((~positional_advantage(X!2, T!0)) | (~is_aligned(X!2, T!0)) | (hazard_of_mortality(X!2, T!0) = low))) | (~((~positional_advantage(X!2, T!0)) | is_aligned(X!2, T!0) | (hazard_of_mortality(X!2, T!0) = mod1))) | (~(positional_advantage(X!2, T!0) | (~is_aligned(X!2, T!0)) | (hazard_of_mortality(X!2, T!0) = mod2))) | (~(positional_advantage(X!2, T!0) | is_aligned(X!2, T!0) | (hazard_of_mortality(X!2, T!0) = high))))))))),
% 0.13/0.43 inference(unit_resolution,[status(thm)],[46, 24, 11])).
% 0.13/0.43 tff(48,plain,
% 0.13/0.43 (((~((~has_immunity(X!2, T!0)) | (hazard_of_mortality(X!2, T!0) = very_low))) | (~(has_immunity(X!2, T!0) | (~((~((~positional_advantage(X!2, T!0)) | (~is_aligned(X!2, T!0)) | (hazard_of_mortality(X!2, T!0) = low))) | (~((~positional_advantage(X!2, T!0)) | is_aligned(X!2, T!0) | (hazard_of_mortality(X!2, T!0) = mod1))) | (~(positional_advantage(X!2, T!0) | (~is_aligned(X!2, T!0)) | (hazard_of_mortality(X!2, T!0) = mod2))) | (~(positional_advantage(X!2, T!0) | is_aligned(X!2, T!0) | (hazard_of_mortality(X!2, T!0) = high)))))))) | ((~has_immunity(X!2, T!0)) | (hazard_of_mortality(X!2, T!0) = very_low))),
% 0.13/0.43 inference(tautology,[status(thm)],[])).
% 0.13/0.43 tff(49,plain,
% 0.13/0.43 ((~has_immunity(X!2, T!0)) | (hazard_of_mortality(X!2, T!0) = very_low)),
% 0.13/0.43 inference(unit_resolution,[status(thm)],[48, 47])).
% 0.13/0.43 tff(50,plain,
% 0.13/0.43 (has_immunity(X!2, T!0)),
% 0.13/0.43 inference(and_elim,[status(thm)],[10])).
% 0.13/0.43 tff(51,plain,
% 0.13/0.43 ((~((~has_immunity(X!2, T!0)) | (hazard_of_mortality(X!2, T!0) = very_low))) | (~has_immunity(X!2, T!0)) | (hazard_of_mortality(X!2, T!0) = very_low)),
% 0.13/0.43 inference(tautology,[status(thm)],[])).
% 0.13/0.43 tff(52,plain,
% 0.13/0.43 ((~((~has_immunity(X!2, T!0)) | (hazard_of_mortality(X!2, T!0) = very_low))) | (hazard_of_mortality(X!2, T!0) = very_low)),
% 0.13/0.43 inference(unit_resolution,[status(thm)],[51, 50])).
% 0.13/0.43 tff(53,plain,
% 0.13/0.43 (hazard_of_mortality(X!2, T!0) = very_low),
% 0.13/0.43 inference(unit_resolution,[status(thm)],[52, 49])).
% 0.13/0.43 tff(54,plain,
% 0.13/0.43 (hazard_of_mortality(X!2, T0!1) = hazard_of_mortality(X!2, T!0)),
% 0.13/0.43 inference(modus_ponens,[status(thm)],[53, 40])).
% 0.13/0.43 tff(55,plain,
% 0.13/0.43 (~(hazard_of_mortality(X!2, T0!1) = hazard_of_mortality(X!2, T!0))),
% 0.13/0.43 inference(or_elim,[status(thm)],[9])).
% 0.13/0.43 tff(56,plain,
% 0.13/0.43 ($false),
% 0.13/0.43 inference(unit_resolution,[status(thm)],[55, 54])).
% 0.13/0.43 % SZS output end Proof
% 0.13/0.43 % E exiting
%------------------------------------------------------------------------------