%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : MGT060+1 : TPTP v9.3.0. Released v2.4.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : run_E %s %d THM
% Computer : n020.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 0.12s 0.40s
% Output : Proof 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT060+1 : TPTP v9.3.0. Released v2.4.0.
% 0.00/0.02 % Command : run_E %s %d THM
% 0.07/0.34 % Computer : n020.cluster.edu
% 0.07/0.34 % Model : x86_64 x86_64
% 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34 % Memory : 8046.5625MB
% 0.07/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/0.34 % CPULimit : 300
% 0.07/0.34 % WCLimit : 300
% 0.07/0.34 % DateTime : Mon Sep 7 13:35:31 UTC 2026
% 0.07/0.34 % CPUTime :
% 0.12/0.40 % SZS status Theorem
% 0.12/0.40 % SZS output start Proof
% 0.12/0.40 tff(greater_type, type, (
% 0.12/0.40 greater: ( $i * $i ) > $o)).
% 0.12/0.40 tff(hazard_of_mortality_type, type, (
% 0.12/0.40 hazard_of_mortality: ( $i * $i ) > $i)).
% 0.12/0.40 tff(tptp_fun_T0_1_type, type, (
% 0.12/0.40 tptp_fun_T0_1: $i)).
% 0.12/0.40 tff(tptp_fun_X_2_type, type, (
% 0.12/0.40 tptp_fun_X_2: $i)).
% 0.12/0.40 tff(tptp_fun_T_0_type, type, (
% 0.12/0.40 tptp_fun_T_0: $i)).
% 0.12/0.40 tff(very_low_type, type, (
% 0.12/0.40 very_low: $i)).
% 0.12/0.40 tff(high_type, type, (
% 0.12/0.40 high: $i)).
% 0.12/0.40 tff(has_immunity_type, type, (
% 0.12/0.40 has_immunity: ( $i * $i ) > $o)).
% 0.12/0.40 tff(is_aligned_type, type, (
% 0.12/0.40 is_aligned: ( $i * $i ) > $o)).
% 0.12/0.40 tff(positional_advantage_type, type, (
% 0.12/0.40 positional_advantage: ( $i * $i ) > $o)).
% 0.12/0.40 tff(mod2_type, type, (
% 0.12/0.40 mod2: $i)).
% 0.12/0.40 tff(mod1_type, type, (
% 0.12/0.40 mod1: $i)).
% 0.12/0.40 tff(low_type, type, (
% 0.12/0.40 low: $i)).
% 0.12/0.40 tff(organization_type, type, (
% 0.12/0.40 organization: $i > $o)).
% 0.12/0.40 tff(1,plain,
% 0.12/0.40 ((~![X: $i, T0: $i, T: $i] : ((~(organization(X) & has_immunity(X, T0) & (~has_immunity(X, T)))) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)))) <=> (~![X: $i, T0: $i, T: $i] : ((~(organization(X) & has_immunity(X, T0) & (~has_immunity(X, T)))) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))))),
% 0.12/0.40 inference(rewrite,[status(thm)],[])).
% 0.12/0.40 tff(2,plain,
% 0.12/0.40 ((~![X: $i, T0: $i, T: $i] : (((organization(X) & has_immunity(X, T0)) & (~has_immunity(X, T))) => greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)))) <=> (~![X: $i, T0: $i, T: $i] : ((~(organization(X) & has_immunity(X, T0) & (~has_immunity(X, T)))) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))))),
% 0.12/0.40 inference(rewrite,[status(thm)],[])).
% 0.12/0.40 tff(3,axiom,(~![X: $i, T0: $i, T: $i] : (((organization(X) & has_immunity(X, T0)) & (~has_immunity(X, T))) => greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','assumption_3')).
% 0.12/0.40 tff(4,plain,
% 0.12/0.40 (~![X: $i, T0: $i, T: $i] : ((~(organization(X) & has_immunity(X, T0) & (~has_immunity(X, T)))) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)))),
% 0.12/0.40 inference(modus_ponens,[status(thm)],[3, 2])).
% 0.12/0.40 tff(5,plain,
% 0.12/0.40 (~![X: $i, T0: $i, T: $i] : ((~(organization(X) & has_immunity(X, T0) & (~has_immunity(X, T)))) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)))),
% 0.12/0.40 inference(modus_ponens,[status(thm)],[4, 1])).
% 0.12/0.40 tff(6,plain,
% 0.12/0.40 (~![X: $i, T0: $i, T: $i] : ((~(organization(X) & has_immunity(X, T0) & (~has_immunity(X, T)))) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)))),
% 0.12/0.40 inference(modus_ponens,[status(thm)],[5, 1])).
% 0.12/0.40 tff(7,plain,
% 0.12/0.40 (~![X: $i, T0: $i, T: $i] : ((~(organization(X) & has_immunity(X, T0) & (~has_immunity(X, T)))) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)))),
% 0.12/0.40 inference(modus_ponens,[status(thm)],[6, 1])).
% 0.12/0.40 tff(8,plain,(
% 0.12/0.40 ~((~(organization(X!2) & has_immunity(X!2, T0!1) & (~has_immunity(X!2, T!0)))) | greater(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1)))),
% 0.12/0.40 inference(skolemize,[status(sab)],[7])).
% 0.12/0.40 tff(9,plain,
% 0.12/0.40 (organization(X!2) & has_immunity(X!2, T0!1) & (~has_immunity(X!2, T!0))),
% 0.12/0.40 inference(or_elim,[status(thm)],[8])).
% 0.12/0.40 tff(10,plain,
% 0.12/0.40 (organization(X!2)),
% 0.12/0.40 inference(and_elim,[status(thm)],[9])).
% 0.12/0.40 tff(11,plain,
% 0.12/0.40 (^[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)))))))))))),
% 0.12/0.40 inference(bind,[status(th)],[])).
% 0.12/0.40 tff(12,plain,
% 0.12/0.40 (![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))))))))))),
% 0.12/0.40 inference(quant_intro,[status(thm)],[11])).
% 0.12/0.40 tff(13,plain,
% 0.12/0.40 (^[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)))))))))))),
% 0.12/0.40 inference(bind,[status(th)],[])).
% 0.12/0.40 tff(14,plain,
% 0.12/0.40 (![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))))))))))),
% 0.12/0.40 inference(quant_intro,[status(thm)],[13])).
% 0.12/0.40 tff(15,plain,
% 0.12/0.40 (![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))))))),
% 0.12/0.40 inference(rewrite,[status(thm)],[])).
% 0.12/0.40 tff(16,plain,
% 0.12/0.40 (^[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))))))))),
% 0.12/0.40 inference(bind,[status(th)],[])).
% 0.12/0.40 tff(17,plain,
% 0.12/0.40 (![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))))))),
% 0.12/0.40 inference(quant_intro,[status(thm)],[16])).
% 0.12/0.40 tff(18,axiom,(![X: $i, T: $i] : (organization(X) => ((has_immunity(X, T) => (hazard_of_mortality(X, T) = very_low)) & ((~has_immunity(X, T)) => (((((is_aligned(X, T) & positional_advantage(X, T)) => (hazard_of_mortality(X, T) = low)) & (((~is_aligned(X, T)) & positional_advantage(X, T)) => (hazard_of_mortality(X, T) = mod1))) & ((is_aligned(X, T) & (~positional_advantage(X, T))) => (hazard_of_mortality(X, T) = mod2))) & (((~is_aligned(X, T)) & (~positional_advantage(X, T))) => (hazard_of_mortality(X, T) = high))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','assumption_17')).
% 0.12/0.40 tff(19,plain,
% 0.12/0.40 (![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))))))),
% 0.12/0.40 inference(modus_ponens,[status(thm)],[18, 17])).
% 0.12/0.40 tff(20,plain,
% 0.12/0.40 (![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))))))),
% 0.12/0.40 inference(modus_ponens,[status(thm)],[19, 15])).
% 0.12/0.40 tff(21,plain,(
% 0.12/0.40 ![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))))))),
% 0.12/0.40 inference(skolemize,[status(sab)],[20])).
% 0.12/0.40 tff(22,plain,
% 0.12/0.40 (![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))))))))))),
% 0.12/0.41 inference(modus_ponens,[status(thm)],[21, 14])).
% 0.12/0.41 tff(23,plain,
% 0.12/0.41 (![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))))))))))),
% 0.12/0.41 inference(modus_ponens,[status(thm)],[22, 12])).
% 0.12/0.41 tff(24,plain,
% 0.12/0.41 (((~![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))))))))))),
% 0.12/0.41 inference(rewrite,[status(thm)],[])).
% 0.12/0.41 tff(25,plain,
% 0.12/0.41 (((~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))))))))))),
% 0.12/0.41 inference(rewrite,[status(thm)],[])).
% 0.12/0.41 tff(26,plain,
% 0.12/0.41 (((~![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))) | (~((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)))))))))))),
% 0.12/0.41 inference(monotonicity,[status(thm)],[25])).
% 0.12/0.41 tff(27,plain,
% 0.12/0.41 (((~![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))) | (~((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))))))))))),
% 0.12/0.41 inference(transitivity,[status(thm)],[26, 24])).
% 0.12/0.41 tff(28,plain,
% 0.12/0.41 ((~![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))) | (~((hazard_of_mortality(X!2, T0!1) = high) | positional_advantage(X!2, T0!1) | is_aligned(X!2, T0!1))))))))))),
% 0.12/0.41 inference(quant_inst,[status(thm)],[])).
% 0.12/0.41 tff(29,plain,
% 0.12/0.41 ((~![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)))))))))),
% 0.12/0.41 inference(modus_ponens,[status(thm)],[28, 27])).
% 0.12/0.41 tff(30,plain,
% 0.12/0.41 (~((~((~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))))))))),
% 0.12/0.41 inference(unit_resolution,[status(thm)],[29, 23, 10])).
% 0.12/0.41 tff(31,plain,
% 0.12/0.41 (((~((~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))),
% 0.12/0.41 inference(tautology,[status(thm)],[])).
% 0.12/0.41 tff(32,plain,
% 0.12/0.41 ((~has_immunity(X!2, T0!1)) | (hazard_of_mortality(X!2, T0!1) = very_low)),
% 0.12/0.41 inference(unit_resolution,[status(thm)],[31, 30])).
% 0.12/0.41 tff(33,plain,
% 0.12/0.41 (has_immunity(X!2, T0!1)),
% 0.12/0.41 inference(and_elim,[status(thm)],[9])).
% 0.12/0.41 tff(34,plain,
% 0.12/0.41 ((~((~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)),
% 0.12/0.41 inference(tautology,[status(thm)],[])).
% 0.12/0.41 tff(35,plain,
% 0.12/0.41 ((~((~has_immunity(X!2, T0!1)) | (hazard_of_mortality(X!2, T0!1) = very_low))) | (hazard_of_mortality(X!2, T0!1) = very_low)),
% 0.12/0.41 inference(unit_resolution,[status(thm)],[34, 33])).
% 0.12/0.41 tff(36,plain,
% 0.12/0.41 (hazard_of_mortality(X!2, T0!1) = very_low),
% 0.12/0.41 inference(unit_resolution,[status(thm)],[35, 32])).
% 0.12/0.41 tff(37,assumption,(hazard_of_mortality(X!2, T!0) = low), introduced(assumption)).
% 0.12/0.41 tff(38,plain,
% 0.12/0.41 (greater(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1)) <=> greater(low, very_low)),
% 0.12/0.41 inference(monotonicity,[status(thm)],[37, 36])).
% 0.12/0.41 tff(39,plain,
% 0.12/0.41 (greater(low, very_low) <=> greater(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1))),
% 0.12/0.41 inference(symmetry,[status(thm)],[38])).
% 0.12/0.41 tff(40,plain,
% 0.12/0.41 (greater(low, very_low) <=> greater(low, very_low)),
% 0.12/0.41 inference(rewrite,[status(thm)],[])).
% 0.12/0.41 tff(41,axiom,(greater(low, very_low)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','assumption_18c')).
% 0.12/0.41 tff(42,plain,
% 0.12/0.41 (greater(low, very_low)),
% 0.12/0.41 inference(modus_ponens,[status(thm)],[41, 40])).
% 0.12/0.41 tff(43,plain,
% 0.12/0.41 (greater(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1))),
% 0.12/0.41 inference(modus_ponens,[status(thm)],[42, 39])).
% 0.12/0.41 tff(44,plain,
% 0.12/0.41 (~greater(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1))),
% 0.12/0.41 inference(or_elim,[status(thm)],[8])).
% 0.12/0.41 tff(45,plain,
% 0.12/0.41 ($false),
% 0.12/0.41 inference(unit_resolution,[status(thm)],[44, 43])).
% 0.12/0.41 tff(46,plain,(~(hazard_of_mortality(X!2, T!0) = low)), inference(lemma,lemma(discharge,[]))).
% 0.12/0.41 tff(47,assumption,(is_aligned(X!2, T!0)), introduced(assumption)).
% 0.12/0.41 tff(48,assumption,(hazard_of_mortality(X!2, T!0) = mod2), introduced(assumption)).
% 0.12/0.41 tff(49,plain,
% 0.12/0.41 (greater(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1)) <=> greater(mod2, very_low)),
% 0.12/0.41 inference(monotonicity,[status(thm)],[48, 36])).
% 0.12/0.41 tff(50,plain,
% 0.12/0.41 (greater(mod2, very_low) <=> greater(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1))),
% 0.12/0.41 inference(symmetry,[status(thm)],[49])).
% 0.12/0.41 tff(51,plain,
% 0.12/0.41 (greater(mod2, low) <=> greater(mod2, low)),
% 0.12/0.41 inference(rewrite,[status(thm)],[])).
% 0.12/0.41 tff(52,axiom,(greater(mod2, low)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','assumption_18e')).
% 0.12/0.41 tff(53,plain,
% 0.12/0.41 (greater(mod2, low)),
% 0.12/0.41 inference(modus_ponens,[status(thm)],[52, 51])).
% 0.12/0.41 tff(54,plain,
% 0.12/0.41 (![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)))),
% 0.12/0.41 inference(rewrite,[status(thm)],[])).
% 0.12/0.41 tff(55,plain,
% 0.12/0.41 (^[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)))))),
% 0.12/0.42 inference(bind,[status(th)],[])).
% 0.12/0.42 tff(56,plain,
% 0.12/0.42 (![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)))),
% 0.12/0.42 inference(quant_intro,[status(thm)],[55])).
% 0.12/0.42 tff(57,plain,
% 0.12/0.42 (![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))),
% 0.12/0.42 inference(rewrite,[status(thm)],[])).
% 0.12/0.42 tff(58,plain,
% 0.12/0.42 (^[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)))),
% 0.12/0.42 inference(bind,[status(th)],[])).
% 0.12/0.42 tff(59,plain,
% 0.12/0.42 (![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))),
% 0.12/0.42 inference(quant_intro,[status(thm)],[58])).
% 0.12/0.42 tff(60,axiom,(![X: $i, Y: $i, Z: $i] : ((greater(X, Y) & greater(Y, Z)) => greater(X, Z))), file('/export/starexec/sandbox/benchmark/Axioms/MGT001+0.ax','meaning_postulate_greater_transitive')).
% 0.12/0.42 tff(61,plain,
% 0.12/0.42 (![X: $i, Y: $i, Z: $i] : ((~(greater(X, Y) & greater(Y, Z))) | greater(X, Z))),
% 0.12/0.42 inference(modus_ponens,[status(thm)],[60, 59])).
% 0.12/0.42 tff(62,plain,
% 0.12/0.42 (![X: $i, Y: $i, Z: $i] : ((~(greater(X, Y) & greater(Y, Z))) | greater(X, Z))),
% 0.12/0.42 inference(modus_ponens,[status(thm)],[61, 57])).
% 0.12/0.42 tff(63,plain,(
% 0.12/0.42 ![X: $i, Y: $i, Z: $i] : ((~(greater(X, Y) & greater(Y, Z))) | greater(X, Z))),
% 0.12/0.42 inference(skolemize,[status(sab)],[62])).
% 0.12/0.42 tff(64,plain,
% 0.12/0.42 (![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))),
% 0.12/0.42 inference(modus_ponens,[status(thm)],[63, 56])).
% 0.12/0.42 tff(65,plain,
% 0.12/0.42 (![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))),
% 0.12/0.42 inference(modus_ponens,[status(thm)],[64, 54])).
% 0.12/0.42 tff(66,plain,
% 0.12/0.42 (((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | ((~greater(low, very_low)) | greater(mod2, very_low) | (~greater(mod2, low)))) <=> ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (~greater(low, very_low)) | greater(mod2, very_low) | (~greater(mod2, low)))),
% 0.12/0.42 inference(rewrite,[status(thm)],[])).
% 0.12/0.42 tff(67,plain,
% 0.12/0.42 ((greater(mod2, very_low) | (~greater(low, very_low)) | (~greater(mod2, low))) <=> ((~greater(low, very_low)) | greater(mod2, very_low) | (~greater(mod2, low)))),
% 0.12/0.42 inference(rewrite,[status(thm)],[])).
% 0.12/0.42 tff(68,plain,
% 0.12/0.42 (((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (greater(mod2, very_low) | (~greater(low, very_low)) | (~greater(mod2, low)))) <=> ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | ((~greater(low, very_low)) | greater(mod2, very_low) | (~greater(mod2, low))))),
% 0.12/0.42 inference(monotonicity,[status(thm)],[67])).
% 0.12/0.42 tff(69,plain,
% 0.12/0.42 (((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (greater(mod2, very_low) | (~greater(low, very_low)) | (~greater(mod2, low)))) <=> ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (~greater(low, very_low)) | greater(mod2, very_low) | (~greater(mod2, low)))),
% 0.12/0.42 inference(transitivity,[status(thm)],[68, 66])).
% 0.12/0.42 tff(70,plain,
% 0.12/0.42 ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (greater(mod2, very_low) | (~greater(low, very_low)) | (~greater(mod2, low)))),
% 0.12/0.42 inference(quant_inst,[status(thm)],[])).
% 0.12/0.42 tff(71,plain,
% 0.12/0.42 ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (~greater(low, very_low)) | greater(mod2, very_low) | (~greater(mod2, low))),
% 0.12/0.42 inference(modus_ponens,[status(thm)],[70, 69])).
% 0.12/0.42 tff(72,plain,
% 0.12/0.42 (greater(mod2, very_low)),
% 0.12/0.42 inference(unit_resolution,[status(thm)],[71, 65, 42, 53])).
% 0.12/0.42 tff(73,plain,
% 0.12/0.42 (greater(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1))),
% 0.12/0.42 inference(modus_ponens,[status(thm)],[72, 50])).
% 0.12/0.42 tff(74,plain,
% 0.12/0.42 ($false),
% 0.12/0.42 inference(unit_resolution,[status(thm)],[44, 73])).
% 0.12/0.42 tff(75,plain,(~(hazard_of_mortality(X!2, T!0) = mod2)), inference(lemma,lemma(discharge,[]))).
% 0.12/0.42 tff(76,plain,
% 0.12/0.42 (((~![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))))))))))),
% 0.12/0.42 inference(rewrite,[status(thm)],[])).
% 0.12/0.42 tff(77,plain,
% 0.12/0.42 (((~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))))))))))),
% 0.12/0.42 inference(rewrite,[status(thm)],[])).
% 0.12/0.42 tff(78,plain,
% 0.12/0.42 (((~![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)))))))))))),
% 0.12/0.42 inference(monotonicity,[status(thm)],[77])).
% 0.12/0.42 tff(79,plain,
% 0.12/0.42 (((~![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))))))))))),
% 0.12/0.42 inference(transitivity,[status(thm)],[78, 76])).
% 0.12/0.42 tff(80,plain,
% 0.12/0.42 ((~![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))))))))))),
% 0.12/0.43 inference(quant_inst,[status(thm)],[])).
% 0.12/0.43 tff(81,plain,
% 0.12/0.43 ((~![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)))))))))),
% 0.12/0.43 inference(modus_ponens,[status(thm)],[80, 79])).
% 0.12/0.43 tff(82,plain,
% 0.12/0.43 (~((~((~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))))))))),
% 0.12/0.43 inference(unit_resolution,[status(thm)],[81, 23, 10])).
% 0.12/0.43 tff(83,plain,
% 0.12/0.43 (((~((~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) | (~((~((~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))))))),
% 0.12/0.43 inference(tautology,[status(thm)],[])).
% 0.12/0.43 tff(84,plain,
% 0.12/0.43 (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)))))),
% 0.12/0.43 inference(unit_resolution,[status(thm)],[83, 82])).
% 0.12/0.43 tff(85,plain,
% 0.12/0.43 (~has_immunity(X!2, T!0)),
% 0.12/0.43 inference(and_elim,[status(thm)],[9])).
% 0.12/0.43 tff(86,plain,
% 0.12/0.43 ((~(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) | (~((~((~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)))))),
% 0.12/0.43 inference(tautology,[status(thm)],[])).
% 0.12/0.43 tff(87,plain,
% 0.12/0.43 ((~(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))))))) | (~((~((~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)))))),
% 0.12/0.43 inference(unit_resolution,[status(thm)],[86, 85])).
% 0.12/0.43 tff(88,plain,
% 0.12/0.43 (~((~((~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))))),
% 0.12/0.43 inference(unit_resolution,[status(thm)],[87, 84])).
% 0.12/0.43 tff(89,plain,
% 0.12/0.43 (((~((~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)))) | (positional_advantage(X!2, T!0) | (~is_aligned(X!2, T!0)) | (hazard_of_mortality(X!2, T!0) = mod2))),
% 0.12/0.43 inference(tautology,[status(thm)],[])).
% 0.12/0.43 tff(90,plain,
% 0.12/0.43 (positional_advantage(X!2, T!0) | (~is_aligned(X!2, T!0)) | (hazard_of_mortality(X!2, T!0) = mod2)),
% 0.12/0.43 inference(unit_resolution,[status(thm)],[89, 88])).
% 0.12/0.43 tff(91,plain,
% 0.12/0.43 ((~(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) = mod2)),
% 0.12/0.43 inference(tautology,[status(thm)],[])).
% 0.12/0.43 tff(92,plain,
% 0.12/0.43 (positional_advantage(X!2, T!0) | (~is_aligned(X!2, T!0)) | (hazard_of_mortality(X!2, T!0) = mod2)),
% 0.12/0.43 inference(unit_resolution,[status(thm)],[91, 90])).
% 0.12/0.43 tff(93,plain,
% 0.12/0.43 (positional_advantage(X!2, T!0)),
% 0.12/0.43 inference(unit_resolution,[status(thm)],[92, 47, 75])).
% 0.12/0.43 tff(94,plain,
% 0.12/0.43 (((~((~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)))) | ((~positional_advantage(X!2, T!0)) | (~is_aligned(X!2, T!0)) | (hazard_of_mortality(X!2, T!0) = low))),
% 0.12/0.43 inference(tautology,[status(thm)],[])).
% 0.12/0.43 tff(95,plain,
% 0.12/0.43 ((~positional_advantage(X!2, T!0)) | (~is_aligned(X!2, T!0)) | (hazard_of_mortality(X!2, T!0) = low)),
% 0.12/0.43 inference(unit_resolution,[status(thm)],[94, 88])).
% 0.12/0.43 tff(96,plain,
% 0.12/0.43 ((~((~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) = low)),
% 0.12/0.43 inference(tautology,[status(thm)],[])).
% 0.12/0.43 tff(97,plain,
% 0.12/0.43 ((~positional_advantage(X!2, T!0)) | (~is_aligned(X!2, T!0)) | (hazard_of_mortality(X!2, T!0) = low)),
% 0.12/0.43 inference(unit_resolution,[status(thm)],[96, 95])).
% 0.12/0.43 tff(98,plain,
% 0.12/0.43 ($false),
% 0.12/0.43 inference(unit_resolution,[status(thm)],[97, 93, 47, 46])).
% 0.12/0.43 tff(99,plain,(~is_aligned(X!2, T!0)), inference(lemma,lemma(discharge,[]))).
% 0.12/0.43 tff(100,assumption,(hazard_of_mortality(X!2, T!0) = mod1), introduced(assumption)).
% 0.12/0.43 tff(101,plain,
% 0.12/0.43 (greater(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1)) <=> greater(mod1, very_low)),
% 0.12/0.43 inference(monotonicity,[status(thm)],[100, 36])).
% 0.12/0.43 tff(102,plain,
% 0.12/0.43 (greater(mod1, very_low) <=> greater(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1))),
% 0.12/0.43 inference(symmetry,[status(thm)],[101])).
% 0.12/0.43 tff(103,plain,
% 0.12/0.43 (greater(mod1, low) <=> greater(mod1, low)),
% 0.12/0.43 inference(rewrite,[status(thm)],[])).
% 0.12/0.43 tff(104,axiom,(greater(mod1, low)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','assumption_18b')).
% 0.12/0.43 tff(105,plain,
% 0.12/0.43 (greater(mod1, low)),
% 0.12/0.43 inference(modus_ponens,[status(thm)],[104, 103])).
% 0.12/0.43 tff(106,plain,
% 0.12/0.43 (((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | ((~greater(mod1, low)) | greater(mod1, very_low) | (~greater(low, very_low)))) <=> ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (~greater(mod1, low)) | greater(mod1, very_low) | (~greater(low, very_low)))),
% 0.12/0.43 inference(rewrite,[status(thm)],[])).
% 0.12/0.43 tff(107,plain,
% 0.12/0.43 ((greater(mod1, very_low) | (~greater(low, very_low)) | (~greater(mod1, low))) <=> ((~greater(mod1, low)) | greater(mod1, very_low) | (~greater(low, very_low)))),
% 0.12/0.43 inference(rewrite,[status(thm)],[])).
% 0.12/0.43 tff(108,plain,
% 0.12/0.43 (((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (greater(mod1, very_low) | (~greater(low, very_low)) | (~greater(mod1, low)))) <=> ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | ((~greater(mod1, low)) | greater(mod1, very_low) | (~greater(low, very_low))))),
% 0.12/0.43 inference(monotonicity,[status(thm)],[107])).
% 0.12/0.43 tff(109,plain,
% 0.12/0.43 (((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (greater(mod1, very_low) | (~greater(low, very_low)) | (~greater(mod1, low)))) <=> ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (~greater(mod1, low)) | greater(mod1, very_low) | (~greater(low, very_low)))),
% 0.12/0.43 inference(transitivity,[status(thm)],[108, 106])).
% 0.12/0.43 tff(110,plain,
% 0.12/0.43 ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (greater(mod1, very_low) | (~greater(low, very_low)) | (~greater(mod1, low)))),
% 0.12/0.43 inference(quant_inst,[status(thm)],[])).
% 0.12/0.43 tff(111,plain,
% 0.12/0.43 ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (~greater(mod1, low)) | greater(mod1, very_low) | (~greater(low, very_low))),
% 0.12/0.43 inference(modus_ponens,[status(thm)],[110, 109])).
% 0.12/0.43 tff(112,plain,
% 0.12/0.43 (greater(mod1, very_low)),
% 0.12/0.43 inference(unit_resolution,[status(thm)],[111, 65, 105, 42])).
% 0.12/0.43 tff(113,plain,
% 0.12/0.43 (greater(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1))),
% 0.12/0.43 inference(modus_ponens,[status(thm)],[112, 102])).
% 0.12/0.43 tff(114,plain,
% 0.12/0.43 ($false),
% 0.12/0.43 inference(unit_resolution,[status(thm)],[44, 113])).
% 0.12/0.43 tff(115,plain,(~(hazard_of_mortality(X!2, T!0) = mod1)), inference(lemma,lemma(discharge,[]))).
% 0.12/0.43 tff(116,assumption,(~is_aligned(X!2, T!0)), introduced(assumption)).
% 0.12/0.43 tff(117,assumption,(~(hazard_of_mortality(X!2, T!0) = high)), introduced(assumption)).
% 0.12/0.43 tff(118,plain,
% 0.12/0.43 (((~((~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)))) | (positional_advantage(X!2, T!0) | is_aligned(X!2, T!0) | (hazard_of_mortality(X!2, T!0) = high))),
% 0.12/0.43 inference(tautology,[status(thm)],[])).
% 0.12/0.43 tff(119,plain,
% 0.12/0.43 (positional_advantage(X!2, T!0) | is_aligned(X!2, T!0) | (hazard_of_mortality(X!2, T!0) = high)),
% 0.12/0.43 inference(unit_resolution,[status(thm)],[118, 88])).
% 0.12/0.43 tff(120,plain,
% 0.12/0.43 ((~(positional_advantage(X!2, T!0) | is_aligned(X!2, T!0) | (hazard_of_mortality(X!2, T!0) = high))) | positional_advantage(X!2, T!0) | is_aligned(X!2, T!0) | (hazard_of_mortality(X!2, T!0) = high)),
% 0.12/0.43 inference(tautology,[status(thm)],[])).
% 0.12/0.43 tff(121,plain,
% 0.12/0.43 (positional_advantage(X!2, T!0) | is_aligned(X!2, T!0) | (hazard_of_mortality(X!2, T!0) = high)),
% 0.12/0.43 inference(unit_resolution,[status(thm)],[120, 119])).
% 0.12/0.43 tff(122,plain,
% 0.12/0.43 (positional_advantage(X!2, T!0)),
% 0.12/0.43 inference(unit_resolution,[status(thm)],[121, 116, 117])).
% 0.12/0.43 tff(123,plain,
% 0.12/0.43 (((~((~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)))) | ((~positional_advantage(X!2, T!0)) | is_aligned(X!2, T!0) | (hazard_of_mortality(X!2, T!0) = mod1))),
% 0.12/0.43 inference(tautology,[status(thm)],[])).
% 0.12/0.43 tff(124,plain,
% 0.12/0.43 ((~positional_advantage(X!2, T!0)) | is_aligned(X!2, T!0) | (hazard_of_mortality(X!2, T!0) = mod1)),
% 0.12/0.43 inference(unit_resolution,[status(thm)],[123, 88])).
% 0.12/0.43 tff(125,plain,
% 0.12/0.43 ((~((~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) = mod1)),
% 0.12/0.43 inference(tautology,[status(thm)],[])).
% 0.12/0.43 tff(126,plain,
% 0.12/0.43 ((~positional_advantage(X!2, T!0)) | is_aligned(X!2, T!0) | (hazard_of_mortality(X!2, T!0) = mod1)),
% 0.12/0.43 inference(unit_resolution,[status(thm)],[125, 124])).
% 0.12/0.43 tff(127,plain,
% 0.12/0.43 ($false),
% 0.12/0.43 inference(unit_resolution,[status(thm)],[126, 122, 116, 115])).
% 0.12/0.43 tff(128,plain,(is_aligned(X!2, T!0) | (hazard_of_mortality(X!2, T!0) = high)), inference(lemma,lemma(discharge,[]))).
% 0.12/0.43 tff(129,plain,
% 0.12/0.43 (hazard_of_mortality(X!2, T!0) = high),
% 0.12/0.43 inference(unit_resolution,[status(thm)],[128, 99])).
% 0.12/0.43 tff(130,plain,
% 0.12/0.43 (greater(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1)) <=> greater(high, very_low)),
% 0.12/0.43 inference(monotonicity,[status(thm)],[129, 36])).
% 0.12/0.43 tff(131,plain,
% 0.12/0.43 (greater(high, very_low) <=> greater(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1))),
% 0.12/0.43 inference(symmetry,[status(thm)],[130])).
% 0.12/0.43 tff(132,plain,
% 0.12/0.43 (greater(high, mod1) <=> greater(high, mod1)),
% 0.12/0.43 inference(rewrite,[status(thm)],[])).
% 0.12/0.43 tff(133,axiom,(greater(high, mod1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','assumption_18a')).
% 0.12/0.43 tff(134,plain,
% 0.12/0.43 (greater(high, mod1)),
% 0.12/0.43 inference(modus_ponens,[status(thm)],[133, 132])).
% 0.12/0.43 tff(135,plain,
% 0.12/0.43 (((~![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)))),
% 0.12/0.44 inference(rewrite,[status(thm)],[])).
% 0.12/0.44 tff(136,plain,
% 0.12/0.44 ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (greater(high, low) | (~greater(mod1, low)) | (~greater(high, mod1)))),
% 0.12/0.44 inference(quant_inst,[status(thm)],[])).
% 0.12/0.44 tff(137,plain,
% 0.12/0.44 ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | greater(high, low) | (~greater(mod1, low)) | (~greater(high, mod1))),
% 0.12/0.44 inference(modus_ponens,[status(thm)],[136, 135])).
% 0.12/0.44 tff(138,plain,
% 0.12/0.44 (greater(high, low)),
% 0.12/0.44 inference(unit_resolution,[status(thm)],[137, 65, 134, 105])).
% 0.12/0.44 tff(139,plain,
% 0.12/0.44 (((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | ((~greater(low, very_low)) | greater(high, very_low) | (~greater(high, low)))) <=> ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (~greater(low, very_low)) | greater(high, very_low) | (~greater(high, low)))),
% 0.12/0.44 inference(rewrite,[status(thm)],[])).
% 0.12/0.44 tff(140,plain,
% 0.12/0.44 ((greater(high, very_low) | (~greater(low, very_low)) | (~greater(high, low))) <=> ((~greater(low, very_low)) | greater(high, very_low) | (~greater(high, low)))),
% 0.12/0.44 inference(rewrite,[status(thm)],[])).
% 0.12/0.44 tff(141,plain,
% 0.12/0.44 (((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (greater(high, very_low) | (~greater(low, very_low)) | (~greater(high, low)))) <=> ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | ((~greater(low, very_low)) | greater(high, very_low) | (~greater(high, low))))),
% 0.12/0.44 inference(monotonicity,[status(thm)],[140])).
% 0.12/0.44 tff(142,plain,
% 0.12/0.44 (((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (greater(high, very_low) | (~greater(low, very_low)) | (~greater(high, low)))) <=> ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (~greater(low, very_low)) | greater(high, very_low) | (~greater(high, low)))),
% 0.12/0.44 inference(transitivity,[status(thm)],[141, 139])).
% 0.12/0.44 tff(143,plain,
% 0.12/0.44 ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (greater(high, very_low) | (~greater(low, very_low)) | (~greater(high, low)))),
% 0.12/0.44 inference(quant_inst,[status(thm)],[])).
% 0.12/0.44 tff(144,plain,
% 0.12/0.44 ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (~greater(low, very_low)) | greater(high, very_low) | (~greater(high, low))),
% 0.12/0.44 inference(modus_ponens,[status(thm)],[143, 142])).
% 0.12/0.44 tff(145,plain,
% 0.12/0.44 (greater(high, very_low)),
% 0.12/0.44 inference(unit_resolution,[status(thm)],[144, 65, 42, 138])).
% 0.12/0.44 tff(146,plain,
% 0.12/0.44 (greater(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1))),
% 0.12/0.44 inference(modus_ponens,[status(thm)],[145, 131])).
% 0.12/0.44 tff(147,plain,
% 0.12/0.44 ($false),
% 0.12/0.44 inference(unit_resolution,[status(thm)],[44, 146])).
% 0.12/0.44 % SZS output end Proof
% 0.12/0.44 % E exiting
%------------------------------------------------------------------------------