%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : MGT047+1 : TPTP v9.3.0. Released v2.4.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : run_E %s %d THM
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 8 06:24:06 AM UTC 2026
% Result : Theorem 0.12s 0.44s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT047+1 : TPTP v9.3.0. Released v2.4.0.
% 0.00/0.02 % Command : run_E %s %d THM
% 0.07/0.35 % Computer : n015.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Mon Sep 7 13:15:04 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.12/0.44 % SZS status Theorem
% 0.12/0.44 % SZS output start Proof
% 0.12/0.44 tff(greater_type, type, (
% 0.12/0.44 greater: ( $i * $i ) > $o)).
% 0.12/0.44 tff(stock_of_knowledge_type, type, (
% 0.12/0.44 stock_of_knowledge: ( $i * $i ) > $i)).
% 0.12/0.44 tff(tptp_fun_T2_2_type, type, (
% 0.12/0.44 tptp_fun_T2_2: $i)).
% 0.12/0.44 tff(tptp_fun_X_5_type, type, (
% 0.12/0.44 tptp_fun_X_5: $i)).
% 0.12/0.44 tff(tptp_fun_T3_1_type, type, (
% 0.12/0.44 tptp_fun_T3_1: $i)).
% 0.12/0.44 tff(capability_type, type, (
% 0.12/0.44 capability: ( $i * $i ) > $i)).
% 0.12/0.44 tff(greater_or_equal_type, type, (
% 0.12/0.44 greater_or_equal: ( $i * $i ) > $o)).
% 0.12/0.44 tff(position_type, type, (
% 0.12/0.44 position: ( $i * $i ) > $i)).
% 0.12/0.44 tff(external_ties_type, type, (
% 0.12/0.44 external_ties: ( $i * $i ) > $i)).
% 0.12/0.44 tff(age_type, type, (
% 0.12/0.44 age: ( $i * $i ) > $i)).
% 0.12/0.44 tff(eta_type, type, (
% 0.12/0.44 eta: $i)).
% 0.12/0.44 tff(smaller_or_equal_type, type, (
% 0.12/0.44 smaller_or_equal: ( $i * $i ) > $o)).
% 0.12/0.44 tff(tptp_fun_T1_3_type, type, (
% 0.12/0.44 tptp_fun_T1_3: $i)).
% 0.12/0.44 tff(tptp_fun_T0_4_type, type, (
% 0.12/0.44 tptp_fun_T0_4: $i)).
% 0.12/0.44 tff(has_endowment_type, type, (
% 0.12/0.44 has_endowment: $i > $o)).
% 0.12/0.44 tff(organization_type, type, (
% 0.12/0.44 organization: $i > $o)).
% 0.12/0.44 tff(hazard_of_mortality_type, type, (
% 0.12/0.44 hazard_of_mortality: ( $i * $i ) > $i)).
% 0.12/0.44 tff(smaller_type, type, (
% 0.12/0.44 smaller: ( $i * $i ) > $o)).
% 0.12/0.44 tff(has_immunity_type, type, (
% 0.12/0.44 has_immunity: ( $i * $i ) > $o)).
% 0.12/0.44 tff(tptp_fun_T_0_type, type, (
% 0.12/0.44 tptp_fun_T_0: $i > $i)).
% 0.12/0.44 tff(internal_friction_type, type, (
% 0.12/0.44 internal_friction: ( $i * $i ) > $i)).
% 0.12/0.44 tff(1,assumption,(~greater(external_ties(X!5, T3!1), external_ties(X!5, T2!2))), introduced(assumption)).
% 0.12/0.44 tff(2,plain,
% 0.12/0.44 ((~![X: $i, T0: $i, T1: $i, T2: $i, T3: $i] : ((~(organization(X) & has_endowment(X) & smaller_or_equal(age(X, T0), age(X, T1)) & smaller_or_equal(age(X, T1), eta) & greater(age(X, T2), eta) & greater(age(X, T3), age(X, T2)))) | (greater(hazard_of_mortality(X, T2), hazard_of_mortality(X, T3)) & greater(hazard_of_mortality(X, T3), hazard_of_mortality(X, T1)) & (hazard_of_mortality(X, T1) = hazard_of_mortality(X, T0))))) <=> (~![X: $i, T0: $i, T1: $i, T2: $i, T3: $i] : ((~(organization(X) & has_endowment(X) & smaller_or_equal(age(X, T0), age(X, T1)) & smaller_or_equal(age(X, T1), eta) & greater(age(X, T2), eta) & greater(age(X, T3), age(X, T2)))) | (greater(hazard_of_mortality(X, T2), hazard_of_mortality(X, T3)) & greater(hazard_of_mortality(X, T3), hazard_of_mortality(X, T1)) & (hazard_of_mortality(X, T1) = hazard_of_mortality(X, T0)))))),
% 0.12/0.44 inference(rewrite,[status(thm)],[])).
% 0.12/0.44 tff(3,plain,
% 0.12/0.44 ((~![X: $i, T0: $i, T1: $i, T2: $i, T3: $i] : ((((((organization(X) & has_endowment(X)) & smaller_or_equal(age(X, T0), age(X, T1))) & smaller_or_equal(age(X, T1), eta)) & greater(age(X, T2), eta)) & greater(age(X, T3), age(X, T2))) => ((greater(hazard_of_mortality(X, T2), hazard_of_mortality(X, T3)) & greater(hazard_of_mortality(X, T3), hazard_of_mortality(X, T1))) & (hazard_of_mortality(X, T1) = hazard_of_mortality(X, T0))))) <=> (~![X: $i, T0: $i, T1: $i, T2: $i, T3: $i] : ((~(organization(X) & has_endowment(X) & smaller_or_equal(age(X, T0), age(X, T1)) & smaller_or_equal(age(X, T1), eta) & greater(age(X, T2), eta) & greater(age(X, T3), age(X, T2)))) | (greater(hazard_of_mortality(X, T2), hazard_of_mortality(X, T3)) & greater(hazard_of_mortality(X, T3), hazard_of_mortality(X, T1)) & (hazard_of_mortality(X, T1) = hazard_of_mortality(X, T0)))))),
% 0.12/0.44 inference(rewrite,[status(thm)],[])).
% 0.12/0.44 tff(4,axiom,(~![X: $i, T0: $i, T1: $i, T2: $i, T3: $i] : ((((((organization(X) & has_endowment(X)) & smaller_or_equal(age(X, T0), age(X, T1))) & smaller_or_equal(age(X, T1), eta)) & greater(age(X, T2), eta)) & greater(age(X, T3), age(X, T2))) => ((greater(hazard_of_mortality(X, T2), hazard_of_mortality(X, T3)) & greater(hazard_of_mortality(X, T3), hazard_of_mortality(X, T1))) & (hazard_of_mortality(X, T1) = hazard_of_mortality(X, T0))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','theorem_2')).
% 0.12/0.44 tff(5,plain,
% 0.12/0.44 (~![X: $i, T0: $i, T1: $i, T2: $i, T3: $i] : ((~(organization(X) & has_endowment(X) & smaller_or_equal(age(X, T0), age(X, T1)) & smaller_or_equal(age(X, T1), eta) & greater(age(X, T2), eta) & greater(age(X, T3), age(X, T2)))) | (greater(hazard_of_mortality(X, T2), hazard_of_mortality(X, T3)) & greater(hazard_of_mortality(X, T3), hazard_of_mortality(X, T1)) & (hazard_of_mortality(X, T1) = hazard_of_mortality(X, T0))))),
% 0.12/0.44 inference(modus_ponens,[status(thm)],[4, 3])).
% 0.12/0.44 tff(6,plain,
% 0.12/0.44 (~![X: $i, T0: $i, T1: $i, T2: $i, T3: $i] : ((~(organization(X) & has_endowment(X) & smaller_or_equal(age(X, T0), age(X, T1)) & smaller_or_equal(age(X, T1), eta) & greater(age(X, T2), eta) & greater(age(X, T3), age(X, T2)))) | (greater(hazard_of_mortality(X, T2), hazard_of_mortality(X, T3)) & greater(hazard_of_mortality(X, T3), hazard_of_mortality(X, T1)) & (hazard_of_mortality(X, T1) = hazard_of_mortality(X, T0))))),
% 0.12/0.44 inference(modus_ponens,[status(thm)],[5, 2])).
% 0.12/0.44 tff(7,plain,
% 0.12/0.44 (~![X: $i, T0: $i, T1: $i, T2: $i, T3: $i] : ((~(organization(X) & has_endowment(X) & smaller_or_equal(age(X, T0), age(X, T1)) & smaller_or_equal(age(X, T1), eta) & greater(age(X, T2), eta) & greater(age(X, T3), age(X, T2)))) | (greater(hazard_of_mortality(X, T2), hazard_of_mortality(X, T3)) & greater(hazard_of_mortality(X, T3), hazard_of_mortality(X, T1)) & (hazard_of_mortality(X, T1) = hazard_of_mortality(X, T0))))),
% 0.12/0.44 inference(modus_ponens,[status(thm)],[6, 2])).
% 0.12/0.44 tff(8,plain,
% 0.12/0.44 (~![X: $i, T0: $i, T1: $i, T2: $i, T3: $i] : ((~(organization(X) & has_endowment(X) & smaller_or_equal(age(X, T0), age(X, T1)) & smaller_or_equal(age(X, T1), eta) & greater(age(X, T2), eta) & greater(age(X, T3), age(X, T2)))) | (greater(hazard_of_mortality(X, T2), hazard_of_mortality(X, T3)) & greater(hazard_of_mortality(X, T3), hazard_of_mortality(X, T1)) & (hazard_of_mortality(X, T1) = hazard_of_mortality(X, T0))))),
% 0.12/0.44 inference(modus_ponens,[status(thm)],[7, 2])).
% 0.12/0.44 tff(9,plain,(
% 0.12/0.44 ~((~(organization(X!5) & has_endowment(X!5) & smaller_or_equal(age(X!5, T0!4), age(X!5, T1!3)) & smaller_or_equal(age(X!5, T1!3), eta) & greater(age(X!5, T2!2), eta) & greater(age(X!5, T3!1), age(X!5, T2!2)))) | (greater(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T3!1)) & greater(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T1!3)) & (hazard_of_mortality(X!5, T1!3) = hazard_of_mortality(X!5, T0!4))))),
% 0.12/0.44 inference(skolemize,[status(sab)],[8])).
% 0.12/0.44 tff(10,plain,
% 0.12/0.44 (organization(X!5) & has_endowment(X!5) & smaller_or_equal(age(X!5, T0!4), age(X!5, T1!3)) & smaller_or_equal(age(X!5, T1!3), eta) & greater(age(X!5, T2!2), eta) & greater(age(X!5, T3!1), age(X!5, T2!2))),
% 0.12/0.44 inference(or_elim,[status(thm)],[9])).
% 0.12/0.44 tff(11,plain,
% 0.12/0.44 (greater(age(X!5, T3!1), age(X!5, T2!2))),
% 0.12/0.44 inference(and_elim,[status(thm)],[10])).
% 0.12/0.44 tff(12,plain,
% 0.12/0.44 (organization(X!5)),
% 0.12/0.44 inference(and_elim,[status(thm)],[10])).
% 0.12/0.44 tff(13,plain,
% 0.12/0.44 (^[X: $i, T0: $i, T: $i] : refl((greater(external_ties(X, T), external_ties(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0)))) <=> (greater(external_ties(X, T), external_ties(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0)))))),
% 0.12/0.44 inference(bind,[status(th)],[])).
% 0.12/0.44 tff(14,plain,
% 0.12/0.44 (![X: $i, T0: $i, T: $i] : (greater(external_ties(X, T), external_ties(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0)))) <=> ![X: $i, T0: $i, T: $i] : (greater(external_ties(X, T), external_ties(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0))))),
% 0.12/0.44 inference(quant_intro,[status(thm)],[13])).
% 0.12/0.44 tff(15,plain,
% 0.12/0.44 (^[X: $i, T0: $i, T: $i] : trans(monotonicity(trans(monotonicity(rewrite((organization(X) & greater(age(X, T), age(X, T0))) <=> (~((~organization(X)) | (~greater(age(X, T), age(X, T0)))))), ((~(organization(X) & greater(age(X, T), age(X, T0)))) <=> (~(~((~organization(X)) | (~greater(age(X, T), age(X, T0)))))))), rewrite((~(~((~organization(X)) | (~greater(age(X, T), age(X, T0)))))) <=> ((~organization(X)) | (~greater(age(X, T), age(X, T0))))), ((~(organization(X) & greater(age(X, T), age(X, T0)))) <=> ((~organization(X)) | (~greater(age(X, T), age(X, T0)))))), (((~(organization(X) & greater(age(X, T), age(X, T0)))) | greater(external_ties(X, T), external_ties(X, T0))) <=> (((~organization(X)) | (~greater(age(X, T), age(X, T0)))) | greater(external_ties(X, T), external_ties(X, T0))))), rewrite((((~organization(X)) | (~greater(age(X, T), age(X, T0)))) | greater(external_ties(X, T), external_ties(X, T0))) <=> (greater(external_ties(X, T), external_ties(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0))))), (((~(organization(X) & greater(age(X, T), age(X, T0)))) | greater(external_ties(X, T), external_ties(X, T0))) <=> (greater(external_ties(X, T), external_ties(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0))))))),
% 0.12/0.45 inference(bind,[status(th)],[])).
% 0.12/0.45 tff(16,plain,
% 0.12/0.45 (![X: $i, T0: $i, T: $i] : ((~(organization(X) & greater(age(X, T), age(X, T0)))) | greater(external_ties(X, T), external_ties(X, T0))) <=> ![X: $i, T0: $i, T: $i] : (greater(external_ties(X, T), external_ties(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0))))),
% 0.12/0.45 inference(quant_intro,[status(thm)],[15])).
% 0.12/0.45 tff(17,plain,
% 0.12/0.45 (![X: $i, T0: $i, T: $i] : ((~(organization(X) & greater(age(X, T), age(X, T0)))) | greater(external_ties(X, T), external_ties(X, T0))) <=> ![X: $i, T0: $i, T: $i] : ((~(organization(X) & greater(age(X, T), age(X, T0)))) | greater(external_ties(X, T), external_ties(X, T0)))),
% 0.12/0.45 inference(rewrite,[status(thm)],[])).
% 0.12/0.45 tff(18,plain,
% 0.12/0.45 (^[X: $i, T0: $i, T: $i] : rewrite(((organization(X) & greater(age(X, T), age(X, T0))) => greater(external_ties(X, T), external_ties(X, T0))) <=> ((~(organization(X) & greater(age(X, T), age(X, T0)))) | greater(external_ties(X, T), external_ties(X, T0))))),
% 0.12/0.45 inference(bind,[status(th)],[])).
% 0.12/0.45 tff(19,plain,
% 0.12/0.45 (![X: $i, T0: $i, T: $i] : ((organization(X) & greater(age(X, T), age(X, T0))) => greater(external_ties(X, T), external_ties(X, T0))) <=> ![X: $i, T0: $i, T: $i] : ((~(organization(X) & greater(age(X, T), age(X, T0)))) | greater(external_ties(X, T), external_ties(X, T0)))),
% 0.12/0.45 inference(quant_intro,[status(thm)],[18])).
% 0.12/0.45 tff(20,axiom,(![X: $i, T0: $i, T: $i] : ((organization(X) & greater(age(X, T), age(X, T0))) => greater(external_ties(X, T), external_ties(X, T0)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','assumption_8')).
% 0.12/0.45 tff(21,plain,
% 0.12/0.45 (![X: $i, T0: $i, T: $i] : ((~(organization(X) & greater(age(X, T), age(X, T0)))) | greater(external_ties(X, T), external_ties(X, T0)))),
% 0.12/0.45 inference(modus_ponens,[status(thm)],[20, 19])).
% 0.12/0.45 tff(22,plain,
% 0.12/0.45 (![X: $i, T0: $i, T: $i] : ((~(organization(X) & greater(age(X, T), age(X, T0)))) | greater(external_ties(X, T), external_ties(X, T0)))),
% 0.12/0.45 inference(modus_ponens,[status(thm)],[21, 17])).
% 0.12/0.45 tff(23,plain,(
% 0.12/0.45 ![X: $i, T0: $i, T: $i] : ((~(organization(X) & greater(age(X, T), age(X, T0)))) | greater(external_ties(X, T), external_ties(X, T0)))),
% 0.12/0.45 inference(skolemize,[status(sab)],[22])).
% 0.12/0.45 tff(24,plain,
% 0.12/0.45 (![X: $i, T0: $i, T: $i] : (greater(external_ties(X, T), external_ties(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0))))),
% 0.12/0.45 inference(modus_ponens,[status(thm)],[23, 16])).
% 0.12/0.45 tff(25,plain,
% 0.12/0.45 (![X: $i, T0: $i, T: $i] : (greater(external_ties(X, T), external_ties(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0))))),
% 0.12/0.45 inference(modus_ponens,[status(thm)],[24, 14])).
% 0.12/0.45 tff(26,plain,
% 0.12/0.45 (((~![X: $i, T0: $i, T: $i] : (greater(external_ties(X, T), external_ties(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0))))) | ((~greater(age(X!5, T3!1), age(X!5, T2!2))) | (~organization(X!5)) | greater(external_ties(X!5, T3!1), external_ties(X!5, T2!2)))) <=> ((~![X: $i, T0: $i, T: $i] : (greater(external_ties(X, T), external_ties(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0))))) | (~greater(age(X!5, T3!1), age(X!5, T2!2))) | (~organization(X!5)) | greater(external_ties(X!5, T3!1), external_ties(X!5, T2!2)))),
% 0.12/0.45 inference(rewrite,[status(thm)],[])).
% 0.12/0.45 tff(27,plain,
% 0.12/0.45 ((greater(external_ties(X!5, T3!1), external_ties(X!5, T2!2)) | (~organization(X!5)) | (~greater(age(X!5, T3!1), age(X!5, T2!2)))) <=> ((~greater(age(X!5, T3!1), age(X!5, T2!2))) | (~organization(X!5)) | greater(external_ties(X!5, T3!1), external_ties(X!5, T2!2)))),
% 0.12/0.45 inference(rewrite,[status(thm)],[])).
% 0.12/0.45 tff(28,plain,
% 0.12/0.45 (((~![X: $i, T0: $i, T: $i] : (greater(external_ties(X, T), external_ties(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0))))) | (greater(external_ties(X!5, T3!1), external_ties(X!5, T2!2)) | (~organization(X!5)) | (~greater(age(X!5, T3!1), age(X!5, T2!2))))) <=> ((~![X: $i, T0: $i, T: $i] : (greater(external_ties(X, T), external_ties(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0))))) | ((~greater(age(X!5, T3!1), age(X!5, T2!2))) | (~organization(X!5)) | greater(external_ties(X!5, T3!1), external_ties(X!5, T2!2))))),
% 0.12/0.45 inference(monotonicity,[status(thm)],[27])).
% 0.12/0.45 tff(29,plain,
% 0.12/0.45 (((~![X: $i, T0: $i, T: $i] : (greater(external_ties(X, T), external_ties(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0))))) | (greater(external_ties(X!5, T3!1), external_ties(X!5, T2!2)) | (~organization(X!5)) | (~greater(age(X!5, T3!1), age(X!5, T2!2))))) <=> ((~![X: $i, T0: $i, T: $i] : (greater(external_ties(X, T), external_ties(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0))))) | (~greater(age(X!5, T3!1), age(X!5, T2!2))) | (~organization(X!5)) | greater(external_ties(X!5, T3!1), external_ties(X!5, T2!2)))),
% 0.12/0.45 inference(transitivity,[status(thm)],[28, 26])).
% 0.12/0.45 tff(30,plain,
% 0.12/0.45 ((~![X: $i, T0: $i, T: $i] : (greater(external_ties(X, T), external_ties(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0))))) | (greater(external_ties(X!5, T3!1), external_ties(X!5, T2!2)) | (~organization(X!5)) | (~greater(age(X!5, T3!1), age(X!5, T2!2))))),
% 0.12/0.45 inference(quant_inst,[status(thm)],[])).
% 0.12/0.45 tff(31,plain,
% 0.12/0.45 ((~![X: $i, T0: $i, T: $i] : (greater(external_ties(X, T), external_ties(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0))))) | (~greater(age(X!5, T3!1), age(X!5, T2!2))) | (~organization(X!5)) | greater(external_ties(X!5, T3!1), external_ties(X!5, T2!2))),
% 0.12/0.45 inference(modus_ponens,[status(thm)],[30, 29])).
% 0.12/0.45 tff(32,plain,
% 0.12/0.45 ($false),
% 0.12/0.45 inference(unit_resolution,[status(thm)],[31, 25, 12, 11, 1])).
% 0.12/0.45 tff(33,plain,(greater(external_ties(X!5, T3!1), external_ties(X!5, T2!2))), inference(lemma,lemma(discharge,[]))).
% 0.12/0.45 tff(34,assumption,((~((~greater(external_ties(X!5, T3!1), external_ties(X!5, T2!2))) | greater(position(X!5, T3!1), position(X!5, T2!2)))) | (~((~(external_ties(X!5, T3!1) = external_ties(X!5, T2!2))) | (position(X!5, T3!1) = position(X!5, T2!2))))), introduced(assumption)).
% 0.12/0.45 tff(35,plain,
% 0.12/0.45 (^[X: $i, T0: $i, T: $i] : refl(((~organization(X)) | (~((~((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0)))) | (~((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0))))))) <=> ((~organization(X)) | (~((~((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0)))) | (~((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0))))))))),
% 0.12/0.45 inference(bind,[status(th)],[])).
% 0.12/0.45 tff(36,plain,
% 0.12/0.45 (![X: $i, T0: $i, T: $i] : ((~organization(X)) | (~((~((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0)))) | (~((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0))))))) <=> ![X: $i, T0: $i, T: $i] : ((~organization(X)) | (~((~((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0)))) | (~((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0)))))))),
% 0.12/0.45 inference(quant_intro,[status(thm)],[35])).
% 0.12/0.45 tff(37,plain,
% 0.12/0.45 (^[X: $i, T0: $i, T: $i] : rewrite(((~organization(X)) | (((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0))) & ((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0))))) <=> ((~organization(X)) | (~((~((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0)))) | (~((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0))))))))),
% 0.12/0.45 inference(bind,[status(th)],[])).
% 0.12/0.45 tff(38,plain,
% 0.12/0.45 (![X: $i, T0: $i, T: $i] : ((~organization(X)) | (((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0))) & ((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0))))) <=> ![X: $i, T0: $i, T: $i] : ((~organization(X)) | (~((~((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0)))) | (~((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0)))))))),
% 0.12/0.45 inference(quant_intro,[status(thm)],[37])).
% 0.12/0.45 tff(39,plain,
% 0.12/0.45 (![X: $i, T0: $i, T: $i] : ((~organization(X)) | (((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0))) & ((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0))))) <=> ![X: $i, T0: $i, T: $i] : ((~organization(X)) | (((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0))) & ((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0)))))),
% 0.12/0.45 inference(rewrite,[status(thm)],[])).
% 0.12/0.45 tff(40,plain,
% 0.12/0.45 (^[X: $i, T0: $i, T: $i] : trans(monotonicity(rewrite(((greater(external_ties(X, T), external_ties(X, T0)) => greater(position(X, T), position(X, T0))) & ((external_ties(X, T) = external_ties(X, T0)) => (position(X, T) = position(X, T0)))) <=> (((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0))) & ((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0))))), ((organization(X) => ((greater(external_ties(X, T), external_ties(X, T0)) => greater(position(X, T), position(X, T0))) & ((external_ties(X, T) = external_ties(X, T0)) => (position(X, T) = position(X, T0))))) <=> (organization(X) => (((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0))) & ((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0))))))), rewrite((organization(X) => (((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0))) & ((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0))))) <=> ((~organization(X)) | (((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0))) & ((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0)))))), ((organization(X) => ((greater(external_ties(X, T), external_ties(X, T0)) => greater(position(X, T), position(X, T0))) & ((external_ties(X, T) = external_ties(X, T0)) => (position(X, T) = position(X, T0))))) <=> ((~organization(X)) | (((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0))) & ((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0)))))))),
% 0.12/0.45 inference(bind,[status(th)],[])).
% 0.12/0.45 tff(41,plain,
% 0.12/0.45 (![X: $i, T0: $i, T: $i] : (organization(X) => ((greater(external_ties(X, T), external_ties(X, T0)) => greater(position(X, T), position(X, T0))) & ((external_ties(X, T) = external_ties(X, T0)) => (position(X, T) = position(X, T0))))) <=> ![X: $i, T0: $i, T: $i] : ((~organization(X)) | (((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0))) & ((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0)))))),
% 0.12/0.45 inference(quant_intro,[status(thm)],[40])).
% 0.12/0.45 tff(42,axiom,(![X: $i, T0: $i, T: $i] : (organization(X) => ((greater(external_ties(X, T), external_ties(X, T0)) => greater(position(X, T), position(X, T0))) & ((external_ties(X, T) = external_ties(X, T0)) => (position(X, T) = position(X, T0)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','assumption_6')).
% 0.12/0.45 tff(43,plain,
% 0.12/0.45 (![X: $i, T0: $i, T: $i] : ((~organization(X)) | (((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0))) & ((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0)))))),
% 0.12/0.45 inference(modus_ponens,[status(thm)],[42, 41])).
% 0.12/0.45 tff(44,plain,
% 0.12/0.45 (![X: $i, T0: $i, T: $i] : ((~organization(X)) | (((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0))) & ((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0)))))),
% 0.12/0.45 inference(modus_ponens,[status(thm)],[43, 39])).
% 0.12/0.45 tff(45,plain,(
% 0.12/0.45 ![X: $i, T0: $i, T: $i] : ((~organization(X)) | (((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0))) & ((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0)))))),
% 0.12/0.45 inference(skolemize,[status(sab)],[44])).
% 0.12/0.45 tff(46,plain,
% 0.12/0.45 (![X: $i, T0: $i, T: $i] : ((~organization(X)) | (~((~((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0)))) | (~((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0)))))))),
% 0.12/0.45 inference(modus_ponens,[status(thm)],[45, 38])).
% 0.12/0.45 tff(47,plain,
% 0.12/0.45 (![X: $i, T0: $i, T: $i] : ((~organization(X)) | (~((~((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0)))) | (~((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0)))))))),
% 0.12/0.45 inference(modus_ponens,[status(thm)],[46, 36])).
% 0.12/0.45 tff(48,plain,
% 0.12/0.45 (((~![X: $i, T0: $i, T: $i] : ((~organization(X)) | (~((~((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0)))) | (~((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0)))))))) | ((~organization(X!5)) | (~((~((~greater(external_ties(X!5, T3!1), external_ties(X!5, T2!2))) | greater(position(X!5, T3!1), position(X!5, T2!2)))) | (~((~(external_ties(X!5, T3!1) = external_ties(X!5, T2!2))) | (position(X!5, T3!1) = position(X!5, T2!2)))))))) <=> ((~![X: $i, T0: $i, T: $i] : ((~organization(X)) | (~((~((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0)))) | (~((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0)))))))) | (~organization(X!5)) | (~((~((~greater(external_ties(X!5, T3!1), external_ties(X!5, T2!2))) | greater(position(X!5, T3!1), position(X!5, T2!2)))) | (~((~(external_ties(X!5, T3!1) = external_ties(X!5, T2!2))) | (position(X!5, T3!1) = position(X!5, T2!2)))))))),
% 0.12/0.45 inference(rewrite,[status(thm)],[])).
% 0.12/0.45 tff(49,plain,
% 0.12/0.45 ((~![X: $i, T0: $i, T: $i] : ((~organization(X)) | (~((~((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0)))) | (~((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0)))))))) | ((~organization(X!5)) | (~((~((~greater(external_ties(X!5, T3!1), external_ties(X!5, T2!2))) | greater(position(X!5, T3!1), position(X!5, T2!2)))) | (~((~(external_ties(X!5, T3!1) = external_ties(X!5, T2!2))) | (position(X!5, T3!1) = position(X!5, T2!2)))))))),
% 0.12/0.45 inference(quant_inst,[status(thm)],[])).
% 0.12/0.45 tff(50,plain,
% 0.12/0.45 ((~![X: $i, T0: $i, T: $i] : ((~organization(X)) | (~((~((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0)))) | (~((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0)))))))) | (~organization(X!5)) | (~((~((~greater(external_ties(X!5, T3!1), external_ties(X!5, T2!2))) | greater(position(X!5, T3!1), position(X!5, T2!2)))) | (~((~(external_ties(X!5, T3!1) = external_ties(X!5, T2!2))) | (position(X!5, T3!1) = position(X!5, T2!2))))))),
% 0.12/0.45 inference(modus_ponens,[status(thm)],[49, 48])).
% 0.12/0.45 tff(51,plain,
% 0.12/0.45 ($false),
% 0.12/0.45 inference(unit_resolution,[status(thm)],[50, 47, 12, 34])).
% 0.12/0.45 tff(52,plain,(~((~((~greater(external_ties(X!5, T3!1), external_ties(X!5, T2!2))) | greater(position(X!5, T3!1), position(X!5, T2!2)))) | (~((~(external_ties(X!5, T3!1) = external_ties(X!5, T2!2))) | (position(X!5, T3!1) = position(X!5, T2!2)))))), inference(lemma,lemma(discharge,[]))).
% 0.12/0.45 tff(53,plain,
% 0.12/0.45 (((~((~greater(external_ties(X!5, T3!1), external_ties(X!5, T2!2))) | greater(position(X!5, T3!1), position(X!5, T2!2)))) | (~((~(external_ties(X!5, T3!1) = external_ties(X!5, T2!2))) | (position(X!5, T3!1) = position(X!5, T2!2))))) | ((~greater(external_ties(X!5, T3!1), external_ties(X!5, T2!2))) | greater(position(X!5, T3!1), position(X!5, T2!2)))),
% 0.12/0.45 inference(tautology,[status(thm)],[])).
% 0.12/0.45 tff(54,plain,
% 0.12/0.45 ((~greater(external_ties(X!5, T3!1), external_ties(X!5, T2!2))) | greater(position(X!5, T3!1), position(X!5, T2!2))),
% 0.12/0.45 inference(unit_resolution,[status(thm)],[53, 52])).
% 0.12/0.45 tff(55,plain,
% 0.12/0.45 ((~((~greater(external_ties(X!5, T3!1), external_ties(X!5, T2!2))) | greater(position(X!5, T3!1), position(X!5, T2!2)))) | (~greater(external_ties(X!5, T3!1), external_ties(X!5, T2!2))) | greater(position(X!5, T3!1), position(X!5, T2!2))),
% 0.12/0.45 inference(tautology,[status(thm)],[])).
% 0.12/0.45 tff(56,plain,
% 0.12/0.45 ((~greater(external_ties(X!5, T3!1), external_ties(X!5, T2!2))) | greater(position(X!5, T3!1), position(X!5, T2!2))),
% 0.12/0.45 inference(unit_resolution,[status(thm)],[55, 54])).
% 0.12/0.45 tff(57,plain,
% 0.12/0.45 (greater(position(X!5, T3!1), position(X!5, T2!2))),
% 0.12/0.45 inference(unit_resolution,[status(thm)],[56, 33])).
% 0.12/0.45 tff(58,plain,
% 0.12/0.45 (^[X: $i] : rewrite((~((~((~has_endowment(X)) | ![T: $i] : (~((~organization(X)) | (~((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T))) | (~((~has_immunity(X, T)) | (~greater(age(X, T), eta)))))))) | (~(has_endowment(X) | (~organization(X)) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X)))) | (~((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta)))))))) <=> (~((~(has_endowment(X) | (~organization(X)) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X)))) | (~((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta)))))) | (~((~has_endowment(X)) | ![T: $i] : (~((~organization(X)) | (~((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T))) | (~((~has_immunity(X, T)) | (~greater(age(X, T), eta)))))))))))),
% 0.12/0.45 inference(bind,[status(th)],[])).
% 0.12/0.45 tff(59,plain,
% 0.12/0.45 (![X: $i] : (~((~((~has_endowment(X)) | ![T: $i] : (~((~organization(X)) | (~((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T))) | (~((~has_immunity(X, T)) | (~greater(age(X, T), eta)))))))) | (~(has_endowment(X) | (~organization(X)) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X)))) | (~((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta)))))))) <=> ![X: $i] : (~((~(has_endowment(X) | (~organization(X)) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X)))) | (~((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta)))))) | (~((~has_endowment(X)) | ![T: $i] : (~((~organization(X)) | (~((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T))) | (~((~has_immunity(X, T)) | (~greater(age(X, T), eta))))))))))),
% 0.12/0.45 inference(quant_intro,[status(thm)],[58])).
% 0.12/0.45 tff(60,plain,
% 0.12/0.45 (^[X: $i] : refl((~((~((~has_endowment(X)) | ![T: $i] : (~((~organization(X)) | (~((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T))) | (~((~has_immunity(X, T)) | (~greater(age(X, T), eta)))))))) | (~(has_endowment(X) | (~organization(X)) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X)))) | (~((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta)))))))) <=> (~((~((~has_endowment(X)) | ![T: $i] : (~((~organization(X)) | (~((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T))) | (~((~has_immunity(X, T)) | (~greater(age(X, T), eta)))))))) | (~(has_endowment(X) | (~organization(X)) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X)))) | (~((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta)))))))))),
% 0.12/0.45 inference(bind,[status(th)],[])).
% 0.12/0.45 tff(61,plain,
% 0.12/0.45 (![X: $i] : (~((~((~has_endowment(X)) | ![T: $i] : (~((~organization(X)) | (~((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T))) | (~((~has_immunity(X, T)) | (~greater(age(X, T), eta)))))))) | (~(has_endowment(X) | (~organization(X)) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X)))) | (~((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta)))))))) <=> ![X: $i] : (~((~((~has_endowment(X)) | ![T: $i] : (~((~organization(X)) | (~((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T))) | (~((~has_immunity(X, T)) | (~greater(age(X, T), eta)))))))) | (~(has_endowment(X) | (~organization(X)) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X)))) | (~((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta))))))))),
% 0.12/0.46 inference(quant_intro,[status(thm)],[60])).
% 0.12/0.46 tff(62,plain,
% 0.12/0.46 (^[X: $i] : rewrite((~((~((~has_endowment(X)) | ![T: $i] : (~((~organization(X)) | (~((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T))) | (~((~has_immunity(X, T)) | (~greater(age(X, T), eta)))))))) | (~(has_endowment(X) | (~organization(X)) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X)))) | (~((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta)))))))) <=> (~((~((~has_endowment(X)) | ![T: $i] : (~((~organization(X)) | (~((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T))) | (~((~has_immunity(X, T)) | (~greater(age(X, T), eta)))))))) | (~(has_endowment(X) | (~organization(X)) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X)))) | (~((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta)))))))))),
% 0.12/0.46 inference(bind,[status(th)],[])).
% 0.12/0.46 tff(63,plain,
% 0.12/0.46 (![X: $i] : (~((~((~has_endowment(X)) | ![T: $i] : (~((~organization(X)) | (~((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T))) | (~((~has_immunity(X, T)) | (~greater(age(X, T), eta)))))))) | (~(has_endowment(X) | (~organization(X)) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X)))) | (~((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta)))))))) <=> ![X: $i] : (~((~((~has_endowment(X)) | ![T: $i] : (~((~organization(X)) | (~((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T))) | (~((~has_immunity(X, T)) | (~greater(age(X, T), eta)))))))) | (~(has_endowment(X) | (~organization(X)) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X)))) | (~((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta))))))))),
% 0.12/0.46 inference(quant_intro,[status(thm)],[62])).
% 0.12/0.46 tff(64,plain,
% 0.12/0.46 (![X: $i] : (~((~((~has_endowment(X)) | ![T: $i] : (~((~organization(X)) | (~((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T))) | (~((~has_immunity(X, T)) | (~greater(age(X, T), eta)))))))) | (~(has_endowment(X) | (~organization(X)) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X)))) | (~((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta)))))))) <=> ![X: $i] : (~((~((~has_endowment(X)) | ![T: $i] : (~((~organization(X)) | (~((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T))) | (~((~has_immunity(X, T)) | (~greater(age(X, T), eta)))))))) | (~(has_endowment(X) | (~organization(X)) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X)))) | (~((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta))))))))),
% 0.12/0.46 inference(transitivity,[status(thm)],[63, 61])).
% 0.12/0.46 tff(65,plain,
% 0.12/0.46 (^[X: $i] : trans(monotonicity(rewrite(((~has_endowment(X)) | ![T: $i] : (organization(X) & ((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T)) & ((~has_immunity(X, T)) | (~greater(age(X, T), eta))))) <=> ((~has_endowment(X)) | ![T: $i] : (~((~organization(X)) | (~((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T))) | (~((~has_immunity(X, T)) | (~greater(age(X, T), eta)))))))), trans(monotonicity(trans(monotonicity(rewrite((organization(X) & ((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X))) & ((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta)))) <=> (~((~organization(X)) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X)))) | (~((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta))))))), ((~(organization(X) & ((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X))) & ((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta))))) <=> (~(~((~organization(X)) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X)))) | (~((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta))))))))), rewrite((~(~((~organization(X)) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X)))) | (~((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta))))))) <=> ((~organization(X)) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X)))) | (~((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta)))))), ((~(organization(X) & ((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X))) & ((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta))))) <=> ((~organization(X)) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X)))) | (~((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta))))))), ((has_endowment(X) | (~(organization(X) & ((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X))) & ((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta)))))) <=> (has_endowment(X) | ((~organization(X)) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X)))) | (~((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta)))))))), rewrite((has_endowment(X) | ((~organization(X)) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X)))) | (~((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta)))))) <=> (has_endowment(X) | (~organization(X)) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X)))) | (~((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta)))))), ((has_endowment(X) | (~(organization(X) & ((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X))) & ((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta)))))) <=> (has_endowment(X) | (~organization(X)) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X)))) | (~((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta))))))), ((((~has_endowment(X)) | ![T: $i] : (organization(X) & ((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T)) & ((~has_immunity(X, T)) | (~greater(age(X, T), eta))))) & (has_endowment(X) | (~(organization(X) & ((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X))) & ((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta))))))) <=> (((~has_endowment(X)) | ![T: $i] : (~((~organization(X)) | (~((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T))) | (~((~has_immunity(X, T)) | (~greater(age(X, T), eta))))))) & (has_endowment(X) | (~organization(X)) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X)))) | (~((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta)))))))), rewrite((((~has_endowment(X)) | ![T: $i] : (~((~organization(X)) | (~((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T))) | (~((~has_immunity(X, T)) | (~greater(age(X, T), eta))))))) & (has_endowment(X) | (~organization(X)) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X)))) | (~((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta)))))) <=> (~((~((~has_endowment(X)) | ![T: $i] : (~((~organization(X)) | (~((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T))) | (~((~has_immunity(X, T)) | (~greater(age(X, T), eta)))))))) | (~(has_endowment(X) | (~organization(X)) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X)))) | (~((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta))))))))), ((((~has_endowment(X)) | ![T: $i] : (organization(X) & ((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T)) & ((~has_immunity(X, T)) | (~greater(age(X, T), eta))))) & (has_endowment(X) | (~(organization(X) & ((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X))) & ((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta))))))) <=> (~((~((~has_endowment(X)) | ![T: $i] : (~((~organization(X)) | (~((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T))) | (~((~has_immunity(X, T)) | (~greater(age(X, T), eta)))))))) | (~(has_endowment(X) | (~organization(X)) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X)))) | (~((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta))))))))))),
% 0.21/0.46 inference(bind,[status(th)],[])).
% 0.21/0.46 tff(66,plain,
% 0.21/0.46 (![X: $i] : (((~has_endowment(X)) | ![T: $i] : (organization(X) & ((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T)) & ((~has_immunity(X, T)) | (~greater(age(X, T), eta))))) & (has_endowment(X) | (~(organization(X) & ((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X))) & ((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta))))))) <=> ![X: $i] : (~((~((~has_endowment(X)) | ![T: $i] : (~((~organization(X)) | (~((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T))) | (~((~has_immunity(X, T)) | (~greater(age(X, T), eta)))))))) | (~(has_endowment(X) | (~organization(X)) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X)))) | (~((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta))))))))),
% 0.21/0.46 inference(quant_intro,[status(thm)],[65])).
% 0.21/0.46 tff(67,plain,
% 0.21/0.46 (![X: $i] : (has_endowment(X) <=> ![T: $i] : (organization(X) & ((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T)) & ((~has_immunity(X, T)) | (~greater(age(X, T), eta))))) <=> ![X: $i] : (has_endowment(X) <=> ![T: $i] : (organization(X) & ((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T)) & ((~has_immunity(X, T)) | (~greater(age(X, T), eta)))))),
% 0.21/0.46 inference(rewrite,[status(thm)],[])).
% 0.21/0.46 tff(68,plain,
% 0.21/0.46 (^[X: $i] : rewrite((has_endowment(X) <=> ![T: $i] : ((organization(X) & (smaller_or_equal(age(X, T), eta) => has_immunity(X, T))) & (greater(age(X, T), eta) => (~has_immunity(X, T))))) <=> (has_endowment(X) <=> ![T: $i] : (organization(X) & ((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T)) & ((~has_immunity(X, T)) | (~greater(age(X, T), eta))))))),
% 0.21/0.46 inference(bind,[status(th)],[])).
% 0.21/0.46 tff(69,plain,
% 0.21/0.46 (![X: $i] : (has_endowment(X) <=> ![T: $i] : ((organization(X) & (smaller_or_equal(age(X, T), eta) => has_immunity(X, T))) & (greater(age(X, T), eta) => (~has_immunity(X, T))))) <=> ![X: $i] : (has_endowment(X) <=> ![T: $i] : (organization(X) & ((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T)) & ((~has_immunity(X, T)) | (~greater(age(X, T), eta)))))),
% 0.21/0.46 inference(quant_intro,[status(thm)],[68])).
% 0.21/0.46 tff(70,axiom,(![X: $i] : (has_endowment(X) <=> ![T: $i] : ((organization(X) & (smaller_or_equal(age(X, T), eta) => has_immunity(X, T))) & (greater(age(X, T), eta) => (~has_immunity(X, T)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','definition_1')).
% 0.21/0.46 tff(71,plain,
% 0.21/0.46 (![X: $i] : (has_endowment(X) <=> ![T: $i] : (organization(X) & ((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T)) & ((~has_immunity(X, T)) | (~greater(age(X, T), eta)))))),
% 0.21/0.46 inference(modus_ponens,[status(thm)],[70, 69])).
% 0.21/0.46 tff(72,plain,
% 0.21/0.46 (![X: $i] : (has_endowment(X) <=> ![T: $i] : (organization(X) & ((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T)) & ((~has_immunity(X, T)) | (~greater(age(X, T), eta)))))),
% 0.21/0.46 inference(modus_ponens,[status(thm)],[71, 67])).
% 0.21/0.46 tff(73,plain,(
% 0.21/0.46 ![X: $i] : (((~has_endowment(X)) | ![T: $i] : (organization(X) & ((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T)) & ((~has_immunity(X, T)) | (~greater(age(X, T), eta))))) & (has_endowment(X) | (~(organization(X) & ((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X))) & ((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta)))))))),
% 0.21/0.46 inference(skolemize,[status(sab)],[72])).
% 0.21/0.46 tff(74,plain,
% 0.21/0.46 (![X: $i] : (~((~((~has_endowment(X)) | ![T: $i] : (~((~organization(X)) | (~((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T))) | (~((~has_immunity(X, T)) | (~greater(age(X, T), eta)))))))) | (~(has_endowment(X) | (~organization(X)) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X)))) | (~((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta))))))))),
% 0.21/0.46 inference(modus_ponens,[status(thm)],[73, 66])).
% 0.21/0.46 tff(75,plain,
% 0.21/0.46 (![X: $i] : (~((~((~has_endowment(X)) | ![T: $i] : (~((~organization(X)) | (~((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T))) | (~((~has_immunity(X, T)) | (~greater(age(X, T), eta)))))))) | (~(has_endowment(X) | (~organization(X)) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X)))) | (~((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta))))))))),
% 0.21/0.46 inference(modus_ponens,[status(thm)],[74, 64])).
% 0.21/0.46 tff(76,plain,
% 0.21/0.46 (![X: $i] : (~((~(has_endowment(X) | (~organization(X)) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X)))) | (~((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta)))))) | (~((~has_endowment(X)) | ![T: $i] : (~((~organization(X)) | (~((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T))) | (~((~has_immunity(X, T)) | (~greater(age(X, T), eta))))))))))),
% 0.21/0.46 inference(modus_ponens,[status(thm)],[75, 59])).
% 0.21/0.46 tff(77,plain,
% 0.21/0.46 (((~![X: $i] : (~((~(has_endowment(X) | (~organization(X)) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X)))) | (~((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta)))))) | (~((~has_endowment(X)) | ![T: $i] : (~((~organization(X)) | (~((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T))) | (~((~has_immunity(X, T)) | (~greater(age(X, T), eta))))))))))) | (~((~(has_endowment(X!5) | (~organization(X!5)) | (~((~has_immunity(X!5, tptp_fun_T_0(X!5))) | (~greater(age(X!5, tptp_fun_T_0(X!5)), eta)))) | (~((~smaller_or_equal(age(X!5, tptp_fun_T_0(X!5)), eta)) | has_immunity(X!5, tptp_fun_T_0(X!5)))))) | (~((~has_endowment(X!5)) | ![T: $i] : (~((~organization(X!5)) | (~((~smaller_or_equal(age(X!5, T), eta)) | has_immunity(X!5, T))) | (~((~has_immunity(X!5, T)) | (~greater(age(X!5, T), eta))))))))))) <=> ((~![X: $i] : (~((~(has_endowment(X) | (~organization(X)) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X)))) | (~((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta)))))) | (~((~has_endowment(X)) | ![T: $i] : (~((~organization(X)) | (~((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T))) | (~((~has_immunity(X, T)) | (~greater(age(X, T), eta))))))))))) | (~((~(has_endowment(X!5) | (~organization(X!5)) | (~((~has_immunity(X!5, tptp_fun_T_0(X!5))) | (~greater(age(X!5, tptp_fun_T_0(X!5)), eta)))) | (~((~smaller_or_equal(age(X!5, tptp_fun_T_0(X!5)), eta)) | has_immunity(X!5, tptp_fun_T_0(X!5)))))) | (~((~has_endowment(X!5)) | ![T: $i] : (~((~organization(X!5)) | (~((~smaller_or_equal(age(X!5, T), eta)) | has_immunity(X!5, T))) | (~((~has_immunity(X!5, T)) | (~greater(age(X!5, T), eta)))))))))))),
% 0.21/0.46 inference(rewrite,[status(thm)],[])).
% 0.21/0.46 tff(78,plain,
% 0.21/0.46 ((~((~(has_endowment(X!5) | (~organization(X!5)) | (~((~smaller_or_equal(age(X!5, tptp_fun_T_0(X!5)), eta)) | has_immunity(X!5, tptp_fun_T_0(X!5)))) | (~((~has_immunity(X!5, tptp_fun_T_0(X!5))) | (~greater(age(X!5, tptp_fun_T_0(X!5)), eta)))))) | (~((~has_endowment(X!5)) | ![T: $i] : (~((~organization(X!5)) | (~((~smaller_or_equal(age(X!5, T), eta)) | has_immunity(X!5, T))) | (~((~has_immunity(X!5, T)) | (~greater(age(X!5, T), eta)))))))))) <=> (~((~(has_endowment(X!5) | (~organization(X!5)) | (~((~has_immunity(X!5, tptp_fun_T_0(X!5))) | (~greater(age(X!5, tptp_fun_T_0(X!5)), eta)))) | (~((~smaller_or_equal(age(X!5, tptp_fun_T_0(X!5)), eta)) | has_immunity(X!5, tptp_fun_T_0(X!5)))))) | (~((~has_endowment(X!5)) | ![T: $i] : (~((~organization(X!5)) | (~((~smaller_or_equal(age(X!5, T), eta)) | has_immunity(X!5, T))) | (~((~has_immunity(X!5, T)) | (~greater(age(X!5, T), eta))))))))))),
% 0.21/0.46 inference(rewrite,[status(thm)],[])).
% 0.21/0.46 tff(79,plain,
% 0.21/0.46 (((~![X: $i] : (~((~(has_endowment(X) | (~organization(X)) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X)))) | (~((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta)))))) | (~((~has_endowment(X)) | ![T: $i] : (~((~organization(X)) | (~((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T))) | (~((~has_immunity(X, T)) | (~greater(age(X, T), eta))))))))))) | (~((~(has_endowment(X!5) | (~organization(X!5)) | (~((~smaller_or_equal(age(X!5, tptp_fun_T_0(X!5)), eta)) | has_immunity(X!5, tptp_fun_T_0(X!5)))) | (~((~has_immunity(X!5, tptp_fun_T_0(X!5))) | (~greater(age(X!5, tptp_fun_T_0(X!5)), eta)))))) | (~((~has_endowment(X!5)) | ![T: $i] : (~((~organization(X!5)) | (~((~smaller_or_equal(age(X!5, T), eta)) | has_immunity(X!5, T))) | (~((~has_immunity(X!5, T)) | (~greater(age(X!5, T), eta))))))))))) <=> ((~![X: $i] : (~((~(has_endowment(X) | (~organization(X)) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X)))) | (~((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta)))))) | (~((~has_endowment(X)) | ![T: $i] : (~((~organization(X)) | (~((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T))) | (~((~has_immunity(X, T)) | (~greater(age(X, T), eta))))))))))) | (~((~(has_endowment(X!5) | (~organization(X!5)) | (~((~has_immunity(X!5, tptp_fun_T_0(X!5))) | (~greater(age(X!5, tptp_fun_T_0(X!5)), eta)))) | (~((~smaller_or_equal(age(X!5, tptp_fun_T_0(X!5)), eta)) | has_immunity(X!5, tptp_fun_T_0(X!5)))))) | (~((~has_endowment(X!5)) | ![T: $i] : (~((~organization(X!5)) | (~((~smaller_or_equal(age(X!5, T), eta)) | has_immunity(X!5, T))) | (~((~has_immunity(X!5, T)) | (~greater(age(X!5, T), eta)))))))))))),
% 0.21/0.46 inference(monotonicity,[status(thm)],[78])).
% 0.21/0.46 tff(80,plain,
% 0.21/0.46 (((~![X: $i] : (~((~(has_endowment(X) | (~organization(X)) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X)))) | (~((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta)))))) | (~((~has_endowment(X)) | ![T: $i] : (~((~organization(X)) | (~((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T))) | (~((~has_immunity(X, T)) | (~greater(age(X, T), eta))))))))))) | (~((~(has_endowment(X!5) | (~organization(X!5)) | (~((~smaller_or_equal(age(X!5, tptp_fun_T_0(X!5)), eta)) | has_immunity(X!5, tptp_fun_T_0(X!5)))) | (~((~has_immunity(X!5, tptp_fun_T_0(X!5))) | (~greater(age(X!5, tptp_fun_T_0(X!5)), eta)))))) | (~((~has_endowment(X!5)) | ![T: $i] : (~((~organization(X!5)) | (~((~smaller_or_equal(age(X!5, T), eta)) | has_immunity(X!5, T))) | (~((~has_immunity(X!5, T)) | (~greater(age(X!5, T), eta))))))))))) <=> ((~![X: $i] : (~((~(has_endowment(X) | (~organization(X)) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X)))) | (~((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta)))))) | (~((~has_endowment(X)) | ![T: $i] : (~((~organization(X)) | (~((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T))) | (~((~has_immunity(X, T)) | (~greater(age(X, T), eta))))))))))) | (~((~(has_endowment(X!5) | (~organization(X!5)) | (~((~has_immunity(X!5, tptp_fun_T_0(X!5))) | (~greater(age(X!5, tptp_fun_T_0(X!5)), eta)))) | (~((~smaller_or_equal(age(X!5, tptp_fun_T_0(X!5)), eta)) | has_immunity(X!5, tptp_fun_T_0(X!5)))))) | (~((~has_endowment(X!5)) | ![T: $i] : (~((~organization(X!5)) | (~((~smaller_or_equal(age(X!5, T), eta)) | has_immunity(X!5, T))) | (~((~has_immunity(X!5, T)) | (~greater(age(X!5, T), eta)))))))))))),
% 0.21/0.46 inference(transitivity,[status(thm)],[79, 77])).
% 0.21/0.46 tff(81,plain,
% 0.21/0.46 ((~![X: $i] : (~((~(has_endowment(X) | (~organization(X)) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X)))) | (~((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta)))))) | (~((~has_endowment(X)) | ![T: $i] : (~((~organization(X)) | (~((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T))) | (~((~has_immunity(X, T)) | (~greater(age(X, T), eta))))))))))) | (~((~(has_endowment(X!5) | (~organization(X!5)) | (~((~smaller_or_equal(age(X!5, tptp_fun_T_0(X!5)), eta)) | has_immunity(X!5, tptp_fun_T_0(X!5)))) | (~((~has_immunity(X!5, tptp_fun_T_0(X!5))) | (~greater(age(X!5, tptp_fun_T_0(X!5)), eta)))))) | (~((~has_endowment(X!5)) | ![T: $i] : (~((~organization(X!5)) | (~((~smaller_or_equal(age(X!5, T), eta)) | has_immunity(X!5, T))) | (~((~has_immunity(X!5, T)) | (~greater(age(X!5, T), eta))))))))))),
% 0.21/0.47 inference(quant_inst,[status(thm)],[])).
% 0.21/0.47 tff(82,plain,
% 0.21/0.47 ((~![X: $i] : (~((~(has_endowment(X) | (~organization(X)) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X)))) | (~((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta)))))) | (~((~has_endowment(X)) | ![T: $i] : (~((~organization(X)) | (~((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T))) | (~((~has_immunity(X, T)) | (~greater(age(X, T), eta))))))))))) | (~((~(has_endowment(X!5) | (~organization(X!5)) | (~((~has_immunity(X!5, tptp_fun_T_0(X!5))) | (~greater(age(X!5, tptp_fun_T_0(X!5)), eta)))) | (~((~smaller_or_equal(age(X!5, tptp_fun_T_0(X!5)), eta)) | has_immunity(X!5, tptp_fun_T_0(X!5)))))) | (~((~has_endowment(X!5)) | ![T: $i] : (~((~organization(X!5)) | (~((~smaller_or_equal(age(X!5, T), eta)) | has_immunity(X!5, T))) | (~((~has_immunity(X!5, T)) | (~greater(age(X!5, T), eta))))))))))),
% 0.21/0.47 inference(modus_ponens,[status(thm)],[81, 80])).
% 0.21/0.47 tff(83,plain,
% 0.21/0.47 (~((~(has_endowment(X!5) | (~organization(X!5)) | (~((~has_immunity(X!5, tptp_fun_T_0(X!5))) | (~greater(age(X!5, tptp_fun_T_0(X!5)), eta)))) | (~((~smaller_or_equal(age(X!5, tptp_fun_T_0(X!5)), eta)) | has_immunity(X!5, tptp_fun_T_0(X!5)))))) | (~((~has_endowment(X!5)) | ![T: $i] : (~((~organization(X!5)) | (~((~smaller_or_equal(age(X!5, T), eta)) | has_immunity(X!5, T))) | (~((~has_immunity(X!5, T)) | (~greater(age(X!5, T), eta)))))))))),
% 0.21/0.47 inference(unit_resolution,[status(thm)],[82, 76])).
% 0.21/0.47 tff(84,plain,
% 0.21/0.47 (((~(has_endowment(X!5) | (~organization(X!5)) | (~((~has_immunity(X!5, tptp_fun_T_0(X!5))) | (~greater(age(X!5, tptp_fun_T_0(X!5)), eta)))) | (~((~smaller_or_equal(age(X!5, tptp_fun_T_0(X!5)), eta)) | has_immunity(X!5, tptp_fun_T_0(X!5)))))) | (~((~has_endowment(X!5)) | ![T: $i] : (~((~organization(X!5)) | (~((~smaller_or_equal(age(X!5, T), eta)) | has_immunity(X!5, T))) | (~((~has_immunity(X!5, T)) | (~greater(age(X!5, T), eta))))))))) | ((~has_endowment(X!5)) | ![T: $i] : (~((~organization(X!5)) | (~((~smaller_or_equal(age(X!5, T), eta)) | has_immunity(X!5, T))) | (~((~has_immunity(X!5, T)) | (~greater(age(X!5, T), eta)))))))),
% 0.21/0.47 inference(tautology,[status(thm)],[])).
% 0.21/0.47 tff(85,plain,
% 0.21/0.47 ((~has_endowment(X!5)) | ![T: $i] : (~((~organization(X!5)) | (~((~smaller_or_equal(age(X!5, T), eta)) | has_immunity(X!5, T))) | (~((~has_immunity(X!5, T)) | (~greater(age(X!5, T), eta))))))),
% 0.21/0.47 inference(unit_resolution,[status(thm)],[84, 83])).
% 0.21/0.47 tff(86,plain,
% 0.21/0.47 (has_endowment(X!5)),
% 0.21/0.47 inference(and_elim,[status(thm)],[10])).
% 0.21/0.47 tff(87,plain,
% 0.21/0.47 ((~((~has_endowment(X!5)) | ![T: $i] : (~((~organization(X!5)) | (~((~smaller_or_equal(age(X!5, T), eta)) | has_immunity(X!5, T))) | (~((~has_immunity(X!5, T)) | (~greater(age(X!5, T), eta)))))))) | (~has_endowment(X!5)) | ![T: $i] : (~((~organization(X!5)) | (~((~smaller_or_equal(age(X!5, T), eta)) | has_immunity(X!5, T))) | (~((~has_immunity(X!5, T)) | (~greater(age(X!5, T), eta))))))),
% 0.21/0.47 inference(tautology,[status(thm)],[])).
% 0.21/0.47 tff(88,plain,
% 0.21/0.47 ((~((~has_endowment(X!5)) | ![T: $i] : (~((~organization(X!5)) | (~((~smaller_or_equal(age(X!5, T), eta)) | has_immunity(X!5, T))) | (~((~has_immunity(X!5, T)) | (~greater(age(X!5, T), eta)))))))) | ![T: $i] : (~((~organization(X!5)) | (~((~smaller_or_equal(age(X!5, T), eta)) | has_immunity(X!5, T))) | (~((~has_immunity(X!5, T)) | (~greater(age(X!5, T), eta))))))),
% 0.21/0.47 inference(unit_resolution,[status(thm)],[87, 86])).
% 0.21/0.47 tff(89,plain,
% 0.21/0.47 (![T: $i] : (~((~organization(X!5)) | (~((~smaller_or_equal(age(X!5, T), eta)) | has_immunity(X!5, T))) | (~((~has_immunity(X!5, T)) | (~greater(age(X!5, T), eta))))))),
% 0.21/0.47 inference(unit_resolution,[status(thm)],[88, 85])).
% 0.21/0.47 tff(90,plain,
% 0.21/0.47 ((~![T: $i] : (~((~organization(X!5)) | (~((~smaller_or_equal(age(X!5, T), eta)) | has_immunity(X!5, T))) | (~((~has_immunity(X!5, T)) | (~greater(age(X!5, T), eta))))))) | (~((~organization(X!5)) | (~((~smaller_or_equal(age(X!5, T3!1), eta)) | has_immunity(X!5, T3!1))) | (~((~has_immunity(X!5, T3!1)) | (~greater(age(X!5, T3!1), eta))))))),
% 0.21/0.47 inference(quant_inst,[status(thm)],[])).
% 0.21/0.47 tff(91,plain,
% 0.21/0.47 (~((~organization(X!5)) | (~((~smaller_or_equal(age(X!5, T3!1), eta)) | has_immunity(X!5, T3!1))) | (~((~has_immunity(X!5, T3!1)) | (~greater(age(X!5, T3!1), eta)))))),
% 0.21/0.47 inference(unit_resolution,[status(thm)],[90, 89])).
% 0.21/0.47 tff(92,plain,
% 0.21/0.47 (((~organization(X!5)) | (~((~smaller_or_equal(age(X!5, T3!1), eta)) | has_immunity(X!5, T3!1))) | (~((~has_immunity(X!5, T3!1)) | (~greater(age(X!5, T3!1), eta))))) | ((~has_immunity(X!5, T3!1)) | (~greater(age(X!5, T3!1), eta)))),
% 0.21/0.47 inference(tautology,[status(thm)],[])).
% 0.21/0.47 tff(93,plain,
% 0.21/0.47 ((~has_immunity(X!5, T3!1)) | (~greater(age(X!5, T3!1), eta))),
% 0.21/0.47 inference(unit_resolution,[status(thm)],[92, 91])).
% 0.21/0.47 tff(94,plain,
% 0.21/0.47 (greater(age(X!5, T2!2), eta)),
% 0.21/0.47 inference(and_elim,[status(thm)],[10])).
% 0.21/0.47 tff(95,plain,
% 0.21/0.47 (![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)))),
% 0.21/0.47 inference(rewrite,[status(thm)],[])).
% 0.21/0.47 tff(96,plain,
% 0.21/0.47 (^[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)))))),
% 0.21/0.47 inference(bind,[status(th)],[])).
% 0.21/0.47 tff(97,plain,
% 0.21/0.47 (![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)))),
% 0.21/0.47 inference(quant_intro,[status(thm)],[96])).
% 0.21/0.47 tff(98,plain,
% 0.21/0.47 (![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))),
% 0.21/0.47 inference(rewrite,[status(thm)],[])).
% 0.21/0.47 tff(99,plain,
% 0.21/0.47 (^[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)))),
% 0.21/0.47 inference(bind,[status(th)],[])).
% 0.21/0.47 tff(100,plain,
% 0.21/0.47 (![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))),
% 0.21/0.47 inference(quant_intro,[status(thm)],[99])).
% 0.21/0.47 tff(101,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')).
% 0.21/0.47 tff(102,plain,
% 0.21/0.47 (![X: $i, Y: $i, Z: $i] : ((~(greater(X, Y) & greater(Y, Z))) | greater(X, Z))),
% 0.21/0.47 inference(modus_ponens,[status(thm)],[101, 100])).
% 0.21/0.47 tff(103,plain,
% 0.21/0.47 (![X: $i, Y: $i, Z: $i] : ((~(greater(X, Y) & greater(Y, Z))) | greater(X, Z))),
% 0.21/0.47 inference(modus_ponens,[status(thm)],[102, 98])).
% 0.21/0.47 tff(104,plain,(
% 0.21/0.47 ![X: $i, Y: $i, Z: $i] : ((~(greater(X, Y) & greater(Y, Z))) | greater(X, Z))),
% 0.21/0.47 inference(skolemize,[status(sab)],[103])).
% 0.21/0.47 tff(105,plain,
% 0.21/0.47 (![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))),
% 0.21/0.47 inference(modus_ponens,[status(thm)],[104, 97])).
% 0.21/0.47 tff(106,plain,
% 0.21/0.47 (![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))),
% 0.21/0.47 inference(modus_ponens,[status(thm)],[105, 95])).
% 0.21/0.47 tff(107,plain,
% 0.21/0.47 (((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | ((~greater(age(X!5, T2!2), eta)) | greater(age(X!5, T3!1), eta) | (~greater(age(X!5, T3!1), age(X!5, T2!2))))) <=> ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (~greater(age(X!5, T2!2), eta)) | greater(age(X!5, T3!1), eta) | (~greater(age(X!5, T3!1), age(X!5, T2!2))))),
% 0.21/0.47 inference(rewrite,[status(thm)],[])).
% 0.21/0.47 tff(108,plain,
% 0.21/0.47 ((greater(age(X!5, T3!1), eta) | (~greater(age(X!5, T2!2), eta)) | (~greater(age(X!5, T3!1), age(X!5, T2!2)))) <=> ((~greater(age(X!5, T2!2), eta)) | greater(age(X!5, T3!1), eta) | (~greater(age(X!5, T3!1), age(X!5, T2!2))))),
% 0.21/0.47 inference(rewrite,[status(thm)],[])).
% 0.21/0.47 tff(109,plain,
% 0.21/0.47 (((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (greater(age(X!5, T3!1), eta) | (~greater(age(X!5, T2!2), eta)) | (~greater(age(X!5, T3!1), age(X!5, T2!2))))) <=> ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | ((~greater(age(X!5, T2!2), eta)) | greater(age(X!5, T3!1), eta) | (~greater(age(X!5, T3!1), age(X!5, T2!2)))))),
% 0.21/0.47 inference(monotonicity,[status(thm)],[108])).
% 0.21/0.47 tff(110,plain,
% 0.21/0.47 (((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (greater(age(X!5, T3!1), eta) | (~greater(age(X!5, T2!2), eta)) | (~greater(age(X!5, T3!1), age(X!5, T2!2))))) <=> ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (~greater(age(X!5, T2!2), eta)) | greater(age(X!5, T3!1), eta) | (~greater(age(X!5, T3!1), age(X!5, T2!2))))),
% 0.21/0.47 inference(transitivity,[status(thm)],[109, 107])).
% 0.21/0.47 tff(111,plain,
% 0.21/0.47 ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (greater(age(X!5, T3!1), eta) | (~greater(age(X!5, T2!2), eta)) | (~greater(age(X!5, T3!1), age(X!5, T2!2))))),
% 0.21/0.47 inference(quant_inst,[status(thm)],[])).
% 0.21/0.47 tff(112,plain,
% 0.21/0.47 ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (~greater(age(X!5, T2!2), eta)) | greater(age(X!5, T3!1), eta) | (~greater(age(X!5, T3!1), age(X!5, T2!2)))),
% 0.21/0.47 inference(modus_ponens,[status(thm)],[111, 110])).
% 0.21/0.47 tff(113,plain,
% 0.21/0.47 (greater(age(X!5, T3!1), eta)),
% 0.21/0.47 inference(unit_resolution,[status(thm)],[112, 106, 94, 11])).
% 0.21/0.47 tff(114,plain,
% 0.21/0.47 ((~((~has_immunity(X!5, T3!1)) | (~greater(age(X!5, T3!1), eta)))) | (~has_immunity(X!5, T3!1)) | (~greater(age(X!5, T3!1), eta))),
% 0.21/0.47 inference(tautology,[status(thm)],[])).
% 0.21/0.47 tff(115,plain,
% 0.21/0.47 ((~((~has_immunity(X!5, T3!1)) | (~greater(age(X!5, T3!1), eta)))) | (~has_immunity(X!5, T3!1))),
% 0.21/0.47 inference(unit_resolution,[status(thm)],[114, 113])).
% 0.21/0.47 tff(116,plain,
% 0.21/0.47 (~has_immunity(X!5, T3!1)),
% 0.21/0.47 inference(unit_resolution,[status(thm)],[115, 93])).
% 0.21/0.47 tff(117,plain,
% 0.21/0.47 ((~![T: $i] : (~((~organization(X!5)) | (~((~smaller_or_equal(age(X!5, T), eta)) | has_immunity(X!5, T))) | (~((~has_immunity(X!5, T)) | (~greater(age(X!5, T), eta))))))) | (~((~organization(X!5)) | (~((~smaller_or_equal(age(X!5, T2!2), eta)) | has_immunity(X!5, T2!2))) | (~((~has_immunity(X!5, T2!2)) | (~greater(age(X!5, T2!2), eta))))))),
% 0.21/0.47 inference(quant_inst,[status(thm)],[])).
% 0.21/0.47 tff(118,plain,
% 0.21/0.47 (~((~organization(X!5)) | (~((~smaller_or_equal(age(X!5, T2!2), eta)) | has_immunity(X!5, T2!2))) | (~((~has_immunity(X!5, T2!2)) | (~greater(age(X!5, T2!2), eta)))))),
% 0.21/0.47 inference(unit_resolution,[status(thm)],[117, 89])).
% 0.21/0.47 tff(119,plain,
% 0.21/0.47 (((~organization(X!5)) | (~((~smaller_or_equal(age(X!5, T2!2), eta)) | has_immunity(X!5, T2!2))) | (~((~has_immunity(X!5, T2!2)) | (~greater(age(X!5, T2!2), eta))))) | ((~has_immunity(X!5, T2!2)) | (~greater(age(X!5, T2!2), eta)))),
% 0.21/0.47 inference(tautology,[status(thm)],[])).
% 0.21/0.47 tff(120,plain,
% 0.21/0.47 ((~has_immunity(X!5, T2!2)) | (~greater(age(X!5, T2!2), eta))),
% 0.21/0.47 inference(unit_resolution,[status(thm)],[119, 118])).
% 0.21/0.47 tff(121,plain,
% 0.21/0.47 ((~((~has_immunity(X!5, T2!2)) | (~greater(age(X!5, T2!2), eta)))) | (~has_immunity(X!5, T2!2)) | (~greater(age(X!5, T2!2), eta))),
% 0.21/0.47 inference(tautology,[status(thm)],[])).
% 0.21/0.47 tff(122,plain,
% 0.21/0.47 ((~((~has_immunity(X!5, T2!2)) | (~greater(age(X!5, T2!2), eta)))) | (~has_immunity(X!5, T2!2))),
% 0.21/0.47 inference(unit_resolution,[status(thm)],[121, 94])).
% 0.21/0.47 tff(123,plain,
% 0.21/0.47 (~has_immunity(X!5, T2!2)),
% 0.21/0.47 inference(unit_resolution,[status(thm)],[122, 120])).
% 0.21/0.47 tff(124,plain,
% 0.21/0.47 (![X: $i, T0: $i, T: $i] : (has_immunity(X, T) | has_immunity(X, T0) | (~organization(X)) | (~((~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater(capability(X, T), capability(X, T0))) | (~greater_or_equal(position(X, T), position(X, T0))))) | (~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater_or_equal(capability(X, T), capability(X, T0))) | (~greater(position(X, T), position(X, T0))))) | (~((hazard_of_mortality(X, T) = hazard_of_mortality(X, T0)) | (~(capability(X, T) = capability(X, T0))) | (~(position(X, T) = position(X, T0)))))))) <=> ![X: $i, T0: $i, T: $i] : (has_immunity(X, T) | has_immunity(X, T0) | (~organization(X)) | (~((~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater(capability(X, T), capability(X, T0))) | (~greater_or_equal(position(X, T), position(X, T0))))) | (~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater_or_equal(capability(X, T), capability(X, T0))) | (~greater(position(X, T), position(X, T0))))) | (~((hazard_of_mortality(X, T) = hazard_of_mortality(X, T0)) | (~(capability(X, T) = capability(X, T0))) | (~(position(X, T) = position(X, T0))))))))),
% 0.21/0.47 inference(rewrite,[status(thm)],[])).
% 0.21/0.47 tff(125,plain,
% 0.21/0.47 (^[X: $i, T0: $i, T: $i] : refl((has_immunity(X, T) | has_immunity(X, T0) | (~organization(X)) | (~((~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater(capability(X, T), capability(X, T0))) | (~greater_or_equal(position(X, T), position(X, T0))))) | (~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater_or_equal(capability(X, T), capability(X, T0))) | (~greater(position(X, T), position(X, T0))))) | (~((hazard_of_mortality(X, T) = hazard_of_mortality(X, T0)) | (~(capability(X, T) = capability(X, T0))) | (~(position(X, T) = position(X, T0)))))))) <=> (has_immunity(X, T) | has_immunity(X, T0) | (~organization(X)) | (~((~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater(capability(X, T), capability(X, T0))) | (~greater_or_equal(position(X, T), position(X, T0))))) | (~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater_or_equal(capability(X, T), capability(X, T0))) | (~greater(position(X, T), position(X, T0))))) | (~((hazard_of_mortality(X, T) = hazard_of_mortality(X, T0)) | (~(capability(X, T) = capability(X, T0))) | (~(position(X, T) = position(X, T0)))))))))),
% 0.21/0.47 inference(bind,[status(th)],[])).
% 0.21/0.47 tff(126,plain,
% 0.21/0.47 (![X: $i, T0: $i, T: $i] : (has_immunity(X, T) | has_immunity(X, T0) | (~organization(X)) | (~((~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater(capability(X, T), capability(X, T0))) | (~greater_or_equal(position(X, T), position(X, T0))))) | (~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater_or_equal(capability(X, T), capability(X, T0))) | (~greater(position(X, T), position(X, T0))))) | (~((hazard_of_mortality(X, T) = hazard_of_mortality(X, T0)) | (~(capability(X, T) = capability(X, T0))) | (~(position(X, T) = position(X, T0)))))))) <=> ![X: $i, T0: $i, T: $i] : (has_immunity(X, T) | has_immunity(X, T0) | (~organization(X)) | (~((~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater(capability(X, T), capability(X, T0))) | (~greater_or_equal(position(X, T), position(X, T0))))) | (~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater_or_equal(capability(X, T), capability(X, T0))) | (~greater(position(X, T), position(X, T0))))) | (~((hazard_of_mortality(X, T) = hazard_of_mortality(X, T0)) | (~(capability(X, T) = capability(X, T0))) | (~(position(X, T) = position(X, T0))))))))),
% 0.21/0.47 inference(quant_intro,[status(thm)],[125])).
% 0.21/0.47 tff(127,plain,
% 0.21/0.47 (^[X: $i, T0: $i, T: $i] : trans(monotonicity(trans(monotonicity(rewrite((organization(X) & (~has_immunity(X, T0)) & (~has_immunity(X, T))) <=> (~(has_immunity(X, T) | has_immunity(X, T0) | (~organization(X))))), ((~(organization(X) & (~has_immunity(X, T0)) & (~has_immunity(X, T)))) <=> (~(~(has_immunity(X, T) | has_immunity(X, T0) | (~organization(X))))))), rewrite((~(~(has_immunity(X, T) | has_immunity(X, T0) | (~organization(X))))) <=> (has_immunity(X, T) | has_immunity(X, T0) | (~organization(X)))), ((~(organization(X) & (~has_immunity(X, T0)) & (~has_immunity(X, T)))) <=> (has_immunity(X, T) | has_immunity(X, T0) | (~organization(X))))), trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((greater(capability(X, T), capability(X, T0)) & greater_or_equal(position(X, T), position(X, T0))) <=> (~((~greater(capability(X, T), capability(X, T0))) | (~greater_or_equal(position(X, T), position(X, T0)))))), ((~(greater(capability(X, T), capability(X, T0)) & greater_or_equal(position(X, T), position(X, T0)))) <=> (~(~((~greater(capability(X, T), capability(X, T0))) | (~greater_or_equal(position(X, T), position(X, T0)))))))), rewrite((~(~((~greater(capability(X, T), capability(X, T0))) | (~greater_or_equal(position(X, T), position(X, T0)))))) <=> ((~greater(capability(X, T), capability(X, T0))) | (~greater_or_equal(position(X, T), position(X, T0))))), ((~(greater(capability(X, T), capability(X, T0)) & greater_or_equal(position(X, T), position(X, T0)))) <=> ((~greater(capability(X, T), capability(X, T0))) | (~greater_or_equal(position(X, T), position(X, T0)))))), (((~(greater(capability(X, T), capability(X, T0)) & greater_or_equal(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) <=> (((~greater(capability(X, T), capability(X, T0))) | (~greater_or_equal(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))))), rewrite((((~greater(capability(X, T), capability(X, T0))) | (~greater_or_equal(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) <=> (smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater(capability(X, T), capability(X, T0))) | (~greater_or_equal(position(X, T), position(X, T0))))), (((~(greater(capability(X, T), capability(X, T0)) & greater_or_equal(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) <=> (smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater(capability(X, T), capability(X, T0))) | (~greater_or_equal(position(X, T), position(X, T0)))))), trans(monotonicity(trans(monotonicity(rewrite((greater_or_equal(capability(X, T), capability(X, T0)) & greater(position(X, T), position(X, T0))) <=> (~((~greater_or_equal(capability(X, T), capability(X, T0))) | (~greater(position(X, T), position(X, T0)))))), ((~(greater_or_equal(capability(X, T), capability(X, T0)) & greater(position(X, T), position(X, T0)))) <=> (~(~((~greater_or_equal(capability(X, T), capability(X, T0))) | (~greater(position(X, T), position(X, T0)))))))), rewrite((~(~((~greater_or_equal(capability(X, T), capability(X, T0))) | (~greater(position(X, T), position(X, T0)))))) <=> ((~greater_or_equal(capability(X, T), capability(X, T0))) | (~greater(position(X, T), position(X, T0))))), ((~(greater_or_equal(capability(X, T), capability(X, T0)) & greater(position(X, T), position(X, T0)))) <=> ((~greater_or_equal(capability(X, T), capability(X, T0))) | (~greater(position(X, T), position(X, T0)))))), (((~(greater_or_equal(capability(X, T), capability(X, T0)) & greater(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) <=> (((~greater_or_equal(capability(X, T), capability(X, T0))) | (~greater(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))))), rewrite((((~greater_or_equal(capability(X, T), capability(X, T0))) | (~greater(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) <=> (smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater_or_equal(capability(X, T), capability(X, T0))) | (~greater(position(X, T), position(X, T0))))), (((~(greater_or_equal(capability(X, T), capability(X, T0)) & greater(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) <=> (smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater_or_equal(capability(X, T), capability(X, T0))) | (~greater(position(X, T), position(X, T0)))))), trans(monotonicity(trans(monotonicity(rewrite(((capability(X, T) = capability(X, T0)) & (position(X, T) = position(X, T0))) <=> (~((~(capability(X, T) = capability(X, T0))) | (~(position(X, T) = position(X, T0)))))), ((~((capability(X, T) = capability(X, T0)) & (position(X, T) = position(X, T0)))) <=> (~(~((~(capability(X, T) = capability(X, T0))) | (~(position(X, T) = position(X, T0)))))))), rewrite((~(~((~(capability(X, T) = capability(X, T0))) | (~(position(X, T) = position(X, T0)))))) <=> ((~(capability(X, T) = capability(X, T0))) | (~(position(X, T) = position(X, T0))))), ((~((capability(X, T) = capability(X, T0)) & (position(X, T) = position(X, T0)))) <=> ((~(capability(X, T) = capability(X, T0))) | (~(position(X, T) = position(X, T0)))))), (((~((capability(X, T) = capability(X, T0)) & (position(X, T) = position(X, T0)))) | (hazard_of_mortality(X, T) = hazard_of_mortality(X, T0))) <=> (((~(capability(X, T) = capability(X, T0))) | (~(position(X, T) = position(X, T0)))) | (hazard_of_mortality(X, T) = hazard_of_mortality(X, T0))))), rewrite((((~(capability(X, T) = capability(X, T0))) | (~(position(X, T) = position(X, T0)))) | (hazard_of_mortality(X, T) = hazard_of_mortality(X, T0))) <=> ((hazard_of_mortality(X, T) = hazard_of_mortality(X, T0)) | (~(capability(X, T) = capability(X, T0))) | (~(position(X, T) = position(X, T0))))), (((~((capability(X, T) = capability(X, T0)) & (position(X, T) = position(X, T0)))) | (hazard_of_mortality(X, T) = hazard_of_mortality(X, T0))) <=> ((hazard_of_mortality(X, T) = hazard_of_mortality(X, T0)) | (~(capability(X, T) = capability(X, T0))) | (~(position(X, T) = position(X, T0)))))), ((((~(greater(capability(X, T), capability(X, T0)) & greater_or_equal(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & ((~(greater_or_equal(capability(X, T), capability(X, T0)) & greater(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & ((~((capability(X, T) = capability(X, T0)) & (position(X, T) = position(X, T0)))) | (hazard_of_mortality(X, T) = hazard_of_mortality(X, T0)))) <=> ((smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater(capability(X, T), capability(X, T0))) | (~greater_or_equal(position(X, T), position(X, T0)))) & (smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater_or_equal(capability(X, T), capability(X, T0))) | (~greater(position(X, T), position(X, T0)))) & ((hazard_of_mortality(X, T) = hazard_of_mortality(X, T0)) | (~(capability(X, T) = capability(X, T0))) | (~(position(X, T) = position(X, T0))))))), rewrite(((smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater(capability(X, T), capability(X, T0))) | (~greater_or_equal(position(X, T), position(X, T0)))) & (smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater_or_equal(capability(X, T), capability(X, T0))) | (~greater(position(X, T), position(X, T0)))) & ((hazard_of_mortality(X, T) = hazard_of_mortality(X, T0)) | (~(capability(X, T) = capability(X, T0))) | (~(position(X, T) = position(X, T0))))) <=> (~((~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater(capability(X, T), capability(X, T0))) | (~greater_or_equal(position(X, T), position(X, T0))))) | (~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater_or_equal(capability(X, T), capability(X, T0))) | (~greater(position(X, T), position(X, T0))))) | (~((hazard_of_mortality(X, T) = hazard_of_mortality(X, T0)) | (~(capability(X, T) = capability(X, T0))) | (~(position(X, T) = position(X, T0)))))))), ((((~(greater(capability(X, T), capability(X, T0)) & greater_or_equal(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & ((~(greater_or_equal(capability(X, T), capability(X, T0)) & greater(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & ((~((capability(X, T) = capability(X, T0)) & (position(X, T) = position(X, T0)))) | (hazard_of_mortality(X, T) = hazard_of_mortality(X, T0)))) <=> (~((~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater(capability(X, T), capability(X, T0))) | (~greater_or_equal(position(X, T), position(X, T0))))) | (~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater_or_equal(capability(X, T), capability(X, T0))) | (~greater(position(X, T), position(X, T0))))) | (~((hazard_of_mortality(X, T) = hazard_of_mortality(X, T0)) | (~(capability(X, T) = capability(X, T0))) | (~(position(X, T) = position(X, T0))))))))), (((~(organization(X) & (~has_immunity(X, T0)) & (~has_immunity(X, T)))) | (((~(greater(capability(X, T), capability(X, T0)) & greater_or_equal(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & ((~(greater_or_equal(capability(X, T), capability(X, T0)) & greater(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & ((~((capability(X, T) = capability(X, T0)) & (position(X, T) = position(X, T0)))) | (hazard_of_mortality(X, T) = hazard_of_mortality(X, T0))))) <=> ((has_immunity(X, T) | has_immunity(X, T0) | (~organization(X))) | (~((~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater(capability(X, T), capability(X, T0))) | (~greater_or_equal(position(X, T), position(X, T0))))) | (~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater_or_equal(capability(X, T), capability(X, T0))) | (~greater(position(X, T), position(X, T0))))) | (~((hazard_of_mortality(X, T) = hazard_of_mortality(X, T0)) | (~(capability(X, T) = capability(X, T0))) | (~(position(X, T) = position(X, T0)))))))))), rewrite(((has_immunity(X, T) | has_immunity(X, T0) | (~organization(X))) | (~((~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater(capability(X, T), capability(X, T0))) | (~greater_or_equal(position(X, T), position(X, T0))))) | (~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater_or_equal(capability(X, T), capability(X, T0))) | (~greater(position(X, T), position(X, T0))))) | (~((hazard_of_mortality(X, T) = hazard_of_mortality(X, T0)) | (~(capability(X, T) = capability(X, T0))) | (~(position(X, T) = position(X, T0)))))))) <=> (has_immunity(X, T) | has_immunity(X, T0) | (~organization(X)) | (~((~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater(capability(X, T), capability(X, T0))) | (~greater_or_equal(position(X, T), position(X, T0))))) | (~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater_or_equal(capability(X, T), capability(X, T0))) | (~greater(position(X, T), position(X, T0))))) | (~((hazard_of_mortality(X, T) = hazard_of_mortality(X, T0)) | (~(capability(X, T) = capability(X, T0))) | (~(position(X, T) = position(X, T0))))))))), (((~(organization(X) & (~has_immunity(X, T0)) & (~has_immunity(X, T)))) | (((~(greater(capability(X, T), capability(X, T0)) & greater_or_equal(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & ((~(greater_or_equal(capability(X, T), capability(X, T0)) & greater(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & ((~((capability(X, T) = capability(X, T0)) & (position(X, T) = position(X, T0)))) | (hazard_of_mortality(X, T) = hazard_of_mortality(X, T0))))) <=> (has_immunity(X, T) | has_immunity(X, T0) | (~organization(X)) | (~((~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater(capability(X, T), capability(X, T0))) | (~greater_or_equal(position(X, T), position(X, T0))))) | (~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater_or_equal(capability(X, T), capability(X, T0))) | (~greater(position(X, T), position(X, T0))))) | (~((hazard_of_mortality(X, T) = hazard_of_mortality(X, T0)) | (~(capability(X, T) = capability(X, T0))) | (~(position(X, T) = position(X, T0))))))))))),
% 0.21/0.48 inference(bind,[status(th)],[])).
% 0.21/0.48 tff(128,plain,
% 0.21/0.48 (![X: $i, T0: $i, T: $i] : ((~(organization(X) & (~has_immunity(X, T0)) & (~has_immunity(X, T)))) | (((~(greater(capability(X, T), capability(X, T0)) & greater_or_equal(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & ((~(greater_or_equal(capability(X, T), capability(X, T0)) & greater(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & ((~((capability(X, T) = capability(X, T0)) & (position(X, T) = position(X, T0)))) | (hazard_of_mortality(X, T) = hazard_of_mortality(X, T0))))) <=> ![X: $i, T0: $i, T: $i] : (has_immunity(X, T) | has_immunity(X, T0) | (~organization(X)) | (~((~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater(capability(X, T), capability(X, T0))) | (~greater_or_equal(position(X, T), position(X, T0))))) | (~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater_or_equal(capability(X, T), capability(X, T0))) | (~greater(position(X, T), position(X, T0))))) | (~((hazard_of_mortality(X, T) = hazard_of_mortality(X, T0)) | (~(capability(X, T) = capability(X, T0))) | (~(position(X, T) = position(X, T0))))))))),
% 0.21/0.48 inference(quant_intro,[status(thm)],[127])).
% 0.21/0.48 tff(129,plain,
% 0.21/0.48 (![X: $i, T0: $i, T: $i] : ((~(organization(X) & (~has_immunity(X, T0)) & (~has_immunity(X, T)))) | (((~(greater(capability(X, T), capability(X, T0)) & greater_or_equal(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & ((~(greater_or_equal(capability(X, T), capability(X, T0)) & greater(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & ((~((capability(X, T) = capability(X, T0)) & (position(X, T) = position(X, T0)))) | (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(capability(X, T), capability(X, T0)) & greater_or_equal(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & ((~(greater_or_equal(capability(X, T), capability(X, T0)) & greater(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & ((~((capability(X, T) = capability(X, T0)) & (position(X, T) = position(X, T0)))) | (hazard_of_mortality(X, T) = hazard_of_mortality(X, T0)))))),
% 0.21/0.48 inference(rewrite,[status(thm)],[])).
% 0.21/0.48 tff(130,plain,
% 0.21/0.48 (^[X: $i, T0: $i, T: $i] : trans(monotonicity(rewrite(((organization(X) & (~has_immunity(X, T0))) & (~has_immunity(X, T))) <=> (organization(X) & (~has_immunity(X, T0)) & (~has_immunity(X, T)))), trans(monotonicity(rewrite((((greater(capability(X, T), capability(X, T0)) & greater_or_equal(position(X, T), position(X, T0))) => smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & ((greater_or_equal(capability(X, T), capability(X, T0)) & greater(position(X, T), position(X, T0))) => smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)))) <=> (((~(greater(capability(X, T), capability(X, T0)) & greater_or_equal(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & ((~(greater_or_equal(capability(X, T), capability(X, T0)) & greater(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))))), rewrite((((capability(X, T) = capability(X, T0)) & (position(X, T) = position(X, T0))) => (hazard_of_mortality(X, T) = hazard_of_mortality(X, T0))) <=> ((~((capability(X, T) = capability(X, T0)) & (position(X, T) = position(X, T0)))) | (hazard_of_mortality(X, T) = hazard_of_mortality(X, T0)))), (((((greater(capability(X, T), capability(X, T0)) & greater_or_equal(position(X, T), position(X, T0))) => smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & ((greater_or_equal(capability(X, T), capability(X, T0)) & greater(position(X, T), position(X, T0))) => smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)))) & (((capability(X, T) = capability(X, T0)) & (position(X, T) = position(X, T0))) => (hazard_of_mortality(X, T) = hazard_of_mortality(X, T0)))) <=> ((((~(greater(capability(X, T), capability(X, T0)) & greater_or_equal(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & ((~(greater_or_equal(capability(X, T), capability(X, T0)) & greater(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)))) & ((~((capability(X, T) = capability(X, T0)) & (position(X, T) = position(X, T0)))) | (hazard_of_mortality(X, T) = hazard_of_mortality(X, T0)))))), rewrite(((((~(greater(capability(X, T), capability(X, T0)) & greater_or_equal(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & ((~(greater_or_equal(capability(X, T), capability(X, T0)) & greater(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)))) & ((~((capability(X, T) = capability(X, T0)) & (position(X, T) = position(X, T0)))) | (hazard_of_mortality(X, T) = hazard_of_mortality(X, T0)))) <=> (((~(greater(capability(X, T), capability(X, T0)) & greater_or_equal(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & ((~(greater_or_equal(capability(X, T), capability(X, T0)) & greater(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & ((~((capability(X, T) = capability(X, T0)) & (position(X, T) = position(X, T0)))) | (hazard_of_mortality(X, T) = hazard_of_mortality(X, T0))))), (((((greater(capability(X, T), capability(X, T0)) & greater_or_equal(position(X, T), position(X, T0))) => smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & ((greater_or_equal(capability(X, T), capability(X, T0)) & greater(position(X, T), position(X, T0))) => smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)))) & (((capability(X, T) = capability(X, T0)) & (position(X, T) = position(X, T0))) => (hazard_of_mortality(X, T) = hazard_of_mortality(X, T0)))) <=> (((~(greater(capability(X, T), capability(X, T0)) & greater_or_equal(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & ((~(greater_or_equal(capability(X, T), capability(X, T0)) & greater(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & ((~((capability(X, T) = capability(X, T0)) & (position(X, T) = position(X, T0)))) | (hazard_of_mortality(X, T) = hazard_of_mortality(X, T0)))))), ((((organization(X) & (~has_immunity(X, T0))) & (~has_immunity(X, T))) => ((((greater(capability(X, T), capability(X, T0)) & greater_or_equal(position(X, T), position(X, T0))) => smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & ((greater_or_equal(capability(X, T), capability(X, T0)) & greater(position(X, T), position(X, T0))) => smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)))) & (((capability(X, T) = capability(X, T0)) & (position(X, T) = position(X, T0))) => (hazard_of_mortality(X, T) = hazard_of_mortality(X, T0))))) <=> ((organization(X) & (~has_immunity(X, T0)) & (~has_immunity(X, T))) => (((~(greater(capability(X, T), capability(X, T0)) & greater_or_equal(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & ((~(greater_or_equal(capability(X, T), capability(X, T0)) & greater(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & ((~((capability(X, T) = capability(X, T0)) & (position(X, T) = position(X, T0)))) | (hazard_of_mortality(X, T) = hazard_of_mortality(X, T0))))))), rewrite(((organization(X) & (~has_immunity(X, T0)) & (~has_immunity(X, T))) => (((~(greater(capability(X, T), capability(X, T0)) & greater_or_equal(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & ((~(greater_or_equal(capability(X, T), capability(X, T0)) & greater(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & ((~((capability(X, T) = capability(X, T0)) & (position(X, T) = position(X, T0)))) | (hazard_of_mortality(X, T) = hazard_of_mortality(X, T0))))) <=> ((~(organization(X) & (~has_immunity(X, T0)) & (~has_immunity(X, T)))) | (((~(greater(capability(X, T), capability(X, T0)) & greater_or_equal(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & ((~(greater_or_equal(capability(X, T), capability(X, T0)) & greater(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & ((~((capability(X, T) = capability(X, T0)) & (position(X, T) = position(X, T0)))) | (hazard_of_mortality(X, T) = hazard_of_mortality(X, T0)))))), ((((organization(X) & (~has_immunity(X, T0))) & (~has_immunity(X, T))) => ((((greater(capability(X, T), capability(X, T0)) & greater_or_equal(position(X, T), position(X, T0))) => smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & ((greater_or_equal(capability(X, T), capability(X, T0)) & greater(position(X, T), position(X, T0))) => smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)))) & (((capability(X, T) = capability(X, T0)) & (position(X, T) = position(X, T0))) => (hazard_of_mortality(X, T) = hazard_of_mortality(X, T0))))) <=> ((~(organization(X) & (~has_immunity(X, T0)) & (~has_immunity(X, T)))) | (((~(greater(capability(X, T), capability(X, T0)) & greater_or_equal(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & ((~(greater_or_equal(capability(X, T), capability(X, T0)) & greater(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & ((~((capability(X, T) = capability(X, T0)) & (position(X, T) = position(X, T0)))) | (hazard_of_mortality(X, T) = hazard_of_mortality(X, T0)))))))),
% 0.21/0.48 inference(bind,[status(th)],[])).
% 0.21/0.48 tff(131,plain,
% 0.21/0.48 (![X: $i, T0: $i, T: $i] : (((organization(X) & (~has_immunity(X, T0))) & (~has_immunity(X, T))) => ((((greater(capability(X, T), capability(X, T0)) & greater_or_equal(position(X, T), position(X, T0))) => smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & ((greater_or_equal(capability(X, T), capability(X, T0)) & greater(position(X, T), position(X, T0))) => smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)))) & (((capability(X, T) = capability(X, T0)) & (position(X, T) = position(X, T0))) => (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(capability(X, T), capability(X, T0)) & greater_or_equal(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & ((~(greater_or_equal(capability(X, T), capability(X, T0)) & greater(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & ((~((capability(X, T) = capability(X, T0)) & (position(X, T) = position(X, T0)))) | (hazard_of_mortality(X, T) = hazard_of_mortality(X, T0)))))),
% 0.21/0.48 inference(quant_intro,[status(thm)],[130])).
% 0.21/0.48 tff(132,axiom,(![X: $i, T0: $i, T: $i] : (((organization(X) & (~has_immunity(X, T0))) & (~has_immunity(X, T))) => ((((greater(capability(X, T), capability(X, T0)) & greater_or_equal(position(X, T), position(X, T0))) => smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & ((greater_or_equal(capability(X, T), capability(X, T0)) & greater(position(X, T), position(X, T0))) => smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)))) & (((capability(X, T) = capability(X, T0)) & (position(X, T) = position(X, T0))) => (hazard_of_mortality(X, T) = hazard_of_mortality(X, T0)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','assumption_4')).
% 0.21/0.48 tff(133,plain,
% 0.21/0.48 (![X: $i, T0: $i, T: $i] : ((~(organization(X) & (~has_immunity(X, T0)) & (~has_immunity(X, T)))) | (((~(greater(capability(X, T), capability(X, T0)) & greater_or_equal(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & ((~(greater_or_equal(capability(X, T), capability(X, T0)) & greater(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & ((~((capability(X, T) = capability(X, T0)) & (position(X, T) = position(X, T0)))) | (hazard_of_mortality(X, T) = hazard_of_mortality(X, T0)))))),
% 0.21/0.48 inference(modus_ponens,[status(thm)],[132, 131])).
% 0.21/0.48 tff(134,plain,
% 0.21/0.48 (![X: $i, T0: $i, T: $i] : ((~(organization(X) & (~has_immunity(X, T0)) & (~has_immunity(X, T)))) | (((~(greater(capability(X, T), capability(X, T0)) & greater_or_equal(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & ((~(greater_or_equal(capability(X, T), capability(X, T0)) & greater(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & ((~((capability(X, T) = capability(X, T0)) & (position(X, T) = position(X, T0)))) | (hazard_of_mortality(X, T) = hazard_of_mortality(X, T0)))))),
% 0.21/0.48 inference(modus_ponens,[status(thm)],[133, 129])).
% 0.21/0.48 tff(135,plain,(
% 0.21/0.48 ![X: $i, T0: $i, T: $i] : ((~(organization(X) & (~has_immunity(X, T0)) & (~has_immunity(X, T)))) | (((~(greater(capability(X, T), capability(X, T0)) & greater_or_equal(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & ((~(greater_or_equal(capability(X, T), capability(X, T0)) & greater(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & ((~((capability(X, T) = capability(X, T0)) & (position(X, T) = position(X, T0)))) | (hazard_of_mortality(X, T) = hazard_of_mortality(X, T0)))))),
% 0.21/0.48 inference(skolemize,[status(sab)],[134])).
% 0.21/0.48 tff(136,plain,
% 0.21/0.48 (![X: $i, T0: $i, T: $i] : (has_immunity(X, T) | has_immunity(X, T0) | (~organization(X)) | (~((~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater(capability(X, T), capability(X, T0))) | (~greater_or_equal(position(X, T), position(X, T0))))) | (~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater_or_equal(capability(X, T), capability(X, T0))) | (~greater(position(X, T), position(X, T0))))) | (~((hazard_of_mortality(X, T) = hazard_of_mortality(X, T0)) | (~(capability(X, T) = capability(X, T0))) | (~(position(X, T) = position(X, T0))))))))),
% 0.21/0.48 inference(modus_ponens,[status(thm)],[135, 128])).
% 0.21/0.48 tff(137,plain,
% 0.21/0.48 (![X: $i, T0: $i, T: $i] : (has_immunity(X, T) | has_immunity(X, T0) | (~organization(X)) | (~((~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater(capability(X, T), capability(X, T0))) | (~greater_or_equal(position(X, T), position(X, T0))))) | (~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater_or_equal(capability(X, T), capability(X, T0))) | (~greater(position(X, T), position(X, T0))))) | (~((hazard_of_mortality(X, T) = hazard_of_mortality(X, T0)) | (~(capability(X, T) = capability(X, T0))) | (~(position(X, T) = position(X, T0))))))))),
% 0.21/0.48 inference(modus_ponens,[status(thm)],[136, 126])).
% 0.21/0.48 tff(138,plain,
% 0.21/0.48 (![X: $i, T0: $i, T: $i] : (has_immunity(X, T) | has_immunity(X, T0) | (~organization(X)) | (~((~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater(capability(X, T), capability(X, T0))) | (~greater_or_equal(position(X, T), position(X, T0))))) | (~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater_or_equal(capability(X, T), capability(X, T0))) | (~greater(position(X, T), position(X, T0))))) | (~((hazard_of_mortality(X, T) = hazard_of_mortality(X, T0)) | (~(capability(X, T) = capability(X, T0))) | (~(position(X, T) = position(X, T0))))))))),
% 0.21/0.48 inference(modus_ponens,[status(thm)],[137, 124])).
% 0.21/0.48 tff(139,plain,
% 0.21/0.48 (((~![X: $i, T0: $i, T: $i] : (has_immunity(X, T) | has_immunity(X, T0) | (~organization(X)) | (~((~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater(capability(X, T), capability(X, T0))) | (~greater_or_equal(position(X, T), position(X, T0))))) | (~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater_or_equal(capability(X, T), capability(X, T0))) | (~greater(position(X, T), position(X, T0))))) | (~((hazard_of_mortality(X, T) = hazard_of_mortality(X, T0)) | (~(capability(X, T) = capability(X, T0))) | (~(position(X, T) = position(X, T0))))))))) | ((~organization(X!5)) | has_immunity(X!5, T2!2) | has_immunity(X!5, T3!1) | (~((~(smaller(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2)) | (~greater_or_equal(capability(X!5, T3!1), capability(X!5, T2!2))) | (~greater(position(X!5, T3!1), position(X!5, T2!2))))) | (~((~(capability(X!5, T3!1) = capability(X!5, T2!2))) | (hazard_of_mortality(X!5, T3!1) = hazard_of_mortality(X!5, T2!2)) | (~(position(X!5, T3!1) = position(X!5, T2!2))))) | (~(smaller(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2)) | (~greater_or_equal(position(X!5, T3!1), position(X!5, T2!2))) | (~greater(capability(X!5, T3!1), capability(X!5, T2!2))))))))) <=> ((~![X: $i, T0: $i, T: $i] : (has_immunity(X, T) | has_immunity(X, T0) | (~organization(X)) | (~((~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater(capability(X, T), capability(X, T0))) | (~greater_or_equal(position(X, T), position(X, T0))))) | (~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater_or_equal(capability(X, T), capability(X, T0))) | (~greater(position(X, T), position(X, T0))))) | (~((hazard_of_mortality(X, T) = hazard_of_mortality(X, T0)) | (~(capability(X, T) = capability(X, T0))) | (~(position(X, T) = position(X, T0))))))))) | (~organization(X!5)) | has_immunity(X!5, T2!2) | has_immunity(X!5, T3!1) | (~((~(smaller(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2)) | (~greater_or_equal(capability(X!5, T3!1), capability(X!5, T2!2))) | (~greater(position(X!5, T3!1), position(X!5, T2!2))))) | (~((~(capability(X!5, T3!1) = capability(X!5, T2!2))) | (hazard_of_mortality(X!5, T3!1) = hazard_of_mortality(X!5, T2!2)) | (~(position(X!5, T3!1) = position(X!5, T2!2))))) | (~(smaller(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2)) | (~greater_or_equal(position(X!5, T3!1), position(X!5, T2!2))) | (~greater(capability(X!5, T3!1), capability(X!5, T2!2))))))))),
% 0.21/0.48 inference(rewrite,[status(thm)],[])).
% 0.21/0.48 tff(140,plain,
% 0.21/0.48 ((has_immunity(X!5, T3!1) | has_immunity(X!5, T2!2) | (~organization(X!5)) | (~((~(smaller(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2)) | (~greater_or_equal(capability(X!5, T3!1), capability(X!5, T2!2))) | (~greater(position(X!5, T3!1), position(X!5, T2!2))))) | (~((~(capability(X!5, T3!1) = capability(X!5, T2!2))) | (hazard_of_mortality(X!5, T3!1) = hazard_of_mortality(X!5, T2!2)) | (~(position(X!5, T3!1) = position(X!5, T2!2))))) | (~(smaller(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2)) | (~greater_or_equal(position(X!5, T3!1), position(X!5, T2!2))) | (~greater(capability(X!5, T3!1), capability(X!5, T2!2)))))))) <=> ((~organization(X!5)) | has_immunity(X!5, T2!2) | has_immunity(X!5, T3!1) | (~((~(smaller(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2)) | (~greater_or_equal(capability(X!5, T3!1), capability(X!5, T2!2))) | (~greater(position(X!5, T3!1), position(X!5, T2!2))))) | (~((~(capability(X!5, T3!1) = capability(X!5, T2!2))) | (hazard_of_mortality(X!5, T3!1) = hazard_of_mortality(X!5, T2!2)) | (~(position(X!5, T3!1) = position(X!5, T2!2))))) | (~(smaller(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2)) | (~greater_or_equal(position(X!5, T3!1), position(X!5, T2!2))) | (~greater(capability(X!5, T3!1), capability(X!5, T2!2))))))))),
% 0.21/0.49 inference(rewrite,[status(thm)],[])).
% 0.21/0.49 tff(141,plain,
% 0.21/0.49 ((~((~(smaller(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2)) | (~greater(capability(X!5, T3!1), capability(X!5, T2!2))) | (~greater_or_equal(position(X!5, T3!1), position(X!5, T2!2))))) | (~(smaller(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2)) | (~greater_or_equal(capability(X!5, T3!1), capability(X!5, T2!2))) | (~greater(position(X!5, T3!1), position(X!5, T2!2))))) | (~((hazard_of_mortality(X!5, T3!1) = hazard_of_mortality(X!5, T2!2)) | (~(capability(X!5, T3!1) = capability(X!5, T2!2))) | (~(position(X!5, T3!1) = position(X!5, T2!2))))))) <=> (~((~(smaller(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2)) | (~greater_or_equal(capability(X!5, T3!1), capability(X!5, T2!2))) | (~greater(position(X!5, T3!1), position(X!5, T2!2))))) | (~((~(capability(X!5, T3!1) = capability(X!5, T2!2))) | (hazard_of_mortality(X!5, T3!1) = hazard_of_mortality(X!5, T2!2)) | (~(position(X!5, T3!1) = position(X!5, T2!2))))) | (~(smaller(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2)) | (~greater_or_equal(position(X!5, T3!1), position(X!5, T2!2))) | (~greater(capability(X!5, T3!1), capability(X!5, T2!2)))))))),
% 0.21/0.49 inference(rewrite,[status(thm)],[])).
% 0.21/0.49 tff(142,plain,
% 0.21/0.49 ((has_immunity(X!5, T3!1) | has_immunity(X!5, T2!2) | (~organization(X!5)) | (~((~(smaller(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2)) | (~greater(capability(X!5, T3!1), capability(X!5, T2!2))) | (~greater_or_equal(position(X!5, T3!1), position(X!5, T2!2))))) | (~(smaller(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2)) | (~greater_or_equal(capability(X!5, T3!1), capability(X!5, T2!2))) | (~greater(position(X!5, T3!1), position(X!5, T2!2))))) | (~((hazard_of_mortality(X!5, T3!1) = hazard_of_mortality(X!5, T2!2)) | (~(capability(X!5, T3!1) = capability(X!5, T2!2))) | (~(position(X!5, T3!1) = position(X!5, T2!2)))))))) <=> (has_immunity(X!5, T3!1) | has_immunity(X!5, T2!2) | (~organization(X!5)) | (~((~(smaller(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2)) | (~greater_or_equal(capability(X!5, T3!1), capability(X!5, T2!2))) | (~greater(position(X!5, T3!1), position(X!5, T2!2))))) | (~((~(capability(X!5, T3!1) = capability(X!5, T2!2))) | (hazard_of_mortality(X!5, T3!1) = hazard_of_mortality(X!5, T2!2)) | (~(position(X!5, T3!1) = position(X!5, T2!2))))) | (~(smaller(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2)) | (~greater_or_equal(position(X!5, T3!1), position(X!5, T2!2))) | (~greater(capability(X!5, T3!1), capability(X!5, T2!2))))))))),
% 0.21/0.49 inference(monotonicity,[status(thm)],[141])).
% 0.21/0.49 tff(143,plain,
% 0.21/0.49 ((has_immunity(X!5, T3!1) | has_immunity(X!5, T2!2) | (~organization(X!5)) | (~((~(smaller(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2)) | (~greater(capability(X!5, T3!1), capability(X!5, T2!2))) | (~greater_or_equal(position(X!5, T3!1), position(X!5, T2!2))))) | (~(smaller(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2)) | (~greater_or_equal(capability(X!5, T3!1), capability(X!5, T2!2))) | (~greater(position(X!5, T3!1), position(X!5, T2!2))))) | (~((hazard_of_mortality(X!5, T3!1) = hazard_of_mortality(X!5, T2!2)) | (~(capability(X!5, T3!1) = capability(X!5, T2!2))) | (~(position(X!5, T3!1) = position(X!5, T2!2)))))))) <=> ((~organization(X!5)) | has_immunity(X!5, T2!2) | has_immunity(X!5, T3!1) | (~((~(smaller(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2)) | (~greater_or_equal(capability(X!5, T3!1), capability(X!5, T2!2))) | (~greater(position(X!5, T3!1), position(X!5, T2!2))))) | (~((~(capability(X!5, T3!1) = capability(X!5, T2!2))) | (hazard_of_mortality(X!5, T3!1) = hazard_of_mortality(X!5, T2!2)) | (~(position(X!5, T3!1) = position(X!5, T2!2))))) | (~(smaller(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2)) | (~greater_or_equal(position(X!5, T3!1), position(X!5, T2!2))) | (~greater(capability(X!5, T3!1), capability(X!5, T2!2))))))))),
% 0.21/0.49 inference(transitivity,[status(thm)],[142, 140])).
% 0.21/0.49 tff(144,plain,
% 0.21/0.49 (((~![X: $i, T0: $i, T: $i] : (has_immunity(X, T) | has_immunity(X, T0) | (~organization(X)) | (~((~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater(capability(X, T), capability(X, T0))) | (~greater_or_equal(position(X, T), position(X, T0))))) | (~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater_or_equal(capability(X, T), capability(X, T0))) | (~greater(position(X, T), position(X, T0))))) | (~((hazard_of_mortality(X, T) = hazard_of_mortality(X, T0)) | (~(capability(X, T) = capability(X, T0))) | (~(position(X, T) = position(X, T0))))))))) | (has_immunity(X!5, T3!1) | has_immunity(X!5, T2!2) | (~organization(X!5)) | (~((~(smaller(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2)) | (~greater(capability(X!5, T3!1), capability(X!5, T2!2))) | (~greater_or_equal(position(X!5, T3!1), position(X!5, T2!2))))) | (~(smaller(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2)) | (~greater_or_equal(capability(X!5, T3!1), capability(X!5, T2!2))) | (~greater(position(X!5, T3!1), position(X!5, T2!2))))) | (~((hazard_of_mortality(X!5, T3!1) = hazard_of_mortality(X!5, T2!2)) | (~(capability(X!5, T3!1) = capability(X!5, T2!2))) | (~(position(X!5, T3!1) = position(X!5, T2!2))))))))) <=> ((~![X: $i, T0: $i, T: $i] : (has_immunity(X, T) | has_immunity(X, T0) | (~organization(X)) | (~((~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater(capability(X, T), capability(X, T0))) | (~greater_or_equal(position(X, T), position(X, T0))))) | (~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater_or_equal(capability(X, T), capability(X, T0))) | (~greater(position(X, T), position(X, T0))))) | (~((hazard_of_mortality(X, T) = hazard_of_mortality(X, T0)) | (~(capability(X, T) = capability(X, T0))) | (~(position(X, T) = position(X, T0))))))))) | ((~organization(X!5)) | has_immunity(X!5, T2!2) | has_immunity(X!5, T3!1) | (~((~(smaller(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2)) | (~greater_or_equal(capability(X!5, T3!1), capability(X!5, T2!2))) | (~greater(position(X!5, T3!1), position(X!5, T2!2))))) | (~((~(capability(X!5, T3!1) = capability(X!5, T2!2))) | (hazard_of_mortality(X!5, T3!1) = hazard_of_mortality(X!5, T2!2)) | (~(position(X!5, T3!1) = position(X!5, T2!2))))) | (~(smaller(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2)) | (~greater_or_equal(position(X!5, T3!1), position(X!5, T2!2))) | (~greater(capability(X!5, T3!1), capability(X!5, T2!2)))))))))),
% 0.21/0.49 inference(monotonicity,[status(thm)],[143])).
% 0.21/0.49 tff(145,plain,
% 0.21/0.49 (((~![X: $i, T0: $i, T: $i] : (has_immunity(X, T) | has_immunity(X, T0) | (~organization(X)) | (~((~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater(capability(X, T), capability(X, T0))) | (~greater_or_equal(position(X, T), position(X, T0))))) | (~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater_or_equal(capability(X, T), capability(X, T0))) | (~greater(position(X, T), position(X, T0))))) | (~((hazard_of_mortality(X, T) = hazard_of_mortality(X, T0)) | (~(capability(X, T) = capability(X, T0))) | (~(position(X, T) = position(X, T0))))))))) | (has_immunity(X!5, T3!1) | has_immunity(X!5, T2!2) | (~organization(X!5)) | (~((~(smaller(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2)) | (~greater(capability(X!5, T3!1), capability(X!5, T2!2))) | (~greater_or_equal(position(X!5, T3!1), position(X!5, T2!2))))) | (~(smaller(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2)) | (~greater_or_equal(capability(X!5, T3!1), capability(X!5, T2!2))) | (~greater(position(X!5, T3!1), position(X!5, T2!2))))) | (~((hazard_of_mortality(X!5, T3!1) = hazard_of_mortality(X!5, T2!2)) | (~(capability(X!5, T3!1) = capability(X!5, T2!2))) | (~(position(X!5, T3!1) = position(X!5, T2!2))))))))) <=> ((~![X: $i, T0: $i, T: $i] : (has_immunity(X, T) | has_immunity(X, T0) | (~organization(X)) | (~((~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater(capability(X, T), capability(X, T0))) | (~greater_or_equal(position(X, T), position(X, T0))))) | (~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater_or_equal(capability(X, T), capability(X, T0))) | (~greater(position(X, T), position(X, T0))))) | (~((hazard_of_mortality(X, T) = hazard_of_mortality(X, T0)) | (~(capability(X, T) = capability(X, T0))) | (~(position(X, T) = position(X, T0))))))))) | (~organization(X!5)) | has_immunity(X!5, T2!2) | has_immunity(X!5, T3!1) | (~((~(smaller(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2)) | (~greater_or_equal(capability(X!5, T3!1), capability(X!5, T2!2))) | (~greater(position(X!5, T3!1), position(X!5, T2!2))))) | (~((~(capability(X!5, T3!1) = capability(X!5, T2!2))) | (hazard_of_mortality(X!5, T3!1) = hazard_of_mortality(X!5, T2!2)) | (~(position(X!5, T3!1) = position(X!5, T2!2))))) | (~(smaller(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2)) | (~greater_or_equal(position(X!5, T3!1), position(X!5, T2!2))) | (~greater(capability(X!5, T3!1), capability(X!5, T2!2))))))))),
% 0.21/0.49 inference(transitivity,[status(thm)],[144, 139])).
% 0.21/0.49 tff(146,plain,
% 0.21/0.49 ((~![X: $i, T0: $i, T: $i] : (has_immunity(X, T) | has_immunity(X, T0) | (~organization(X)) | (~((~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater(capability(X, T), capability(X, T0))) | (~greater_or_equal(position(X, T), position(X, T0))))) | (~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater_or_equal(capability(X, T), capability(X, T0))) | (~greater(position(X, T), position(X, T0))))) | (~((hazard_of_mortality(X, T) = hazard_of_mortality(X, T0)) | (~(capability(X, T) = capability(X, T0))) | (~(position(X, T) = position(X, T0))))))))) | (has_immunity(X!5, T3!1) | has_immunity(X!5, T2!2) | (~organization(X!5)) | (~((~(smaller(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2)) | (~greater(capability(X!5, T3!1), capability(X!5, T2!2))) | (~greater_or_equal(position(X!5, T3!1), position(X!5, T2!2))))) | (~(smaller(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2)) | (~greater_or_equal(capability(X!5, T3!1), capability(X!5, T2!2))) | (~greater(position(X!5, T3!1), position(X!5, T2!2))))) | (~((hazard_of_mortality(X!5, T3!1) = hazard_of_mortality(X!5, T2!2)) | (~(capability(X!5, T3!1) = capability(X!5, T2!2))) | (~(position(X!5, T3!1) = position(X!5, T2!2))))))))),
% 0.21/0.49 inference(quant_inst,[status(thm)],[])).
% 0.21/0.49 tff(147,plain,
% 0.21/0.49 ((~![X: $i, T0: $i, T: $i] : (has_immunity(X, T) | has_immunity(X, T0) | (~organization(X)) | (~((~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater(capability(X, T), capability(X, T0))) | (~greater_or_equal(position(X, T), position(X, T0))))) | (~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater_or_equal(capability(X, T), capability(X, T0))) | (~greater(position(X, T), position(X, T0))))) | (~((hazard_of_mortality(X, T) = hazard_of_mortality(X, T0)) | (~(capability(X, T) = capability(X, T0))) | (~(position(X, T) = position(X, T0))))))))) | (~organization(X!5)) | has_immunity(X!5, T2!2) | has_immunity(X!5, T3!1) | (~((~(smaller(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2)) | (~greater_or_equal(capability(X!5, T3!1), capability(X!5, T2!2))) | (~greater(position(X!5, T3!1), position(X!5, T2!2))))) | (~((~(capability(X!5, T3!1) = capability(X!5, T2!2))) | (hazard_of_mortality(X!5, T3!1) = hazard_of_mortality(X!5, T2!2)) | (~(position(X!5, T3!1) = position(X!5, T2!2))))) | (~(smaller(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2)) | (~greater_or_equal(position(X!5, T3!1), position(X!5, T2!2))) | (~greater(capability(X!5, T3!1), capability(X!5, T2!2)))))))),
% 0.21/0.49 inference(modus_ponens,[status(thm)],[146, 145])).
% 0.21/0.49 tff(148,plain,
% 0.21/0.49 (~((~(smaller(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2)) | (~greater_or_equal(capability(X!5, T3!1), capability(X!5, T2!2))) | (~greater(position(X!5, T3!1), position(X!5, T2!2))))) | (~((~(capability(X!5, T3!1) = capability(X!5, T2!2))) | (hazard_of_mortality(X!5, T3!1) = hazard_of_mortality(X!5, T2!2)) | (~(position(X!5, T3!1) = position(X!5, T2!2))))) | (~(smaller(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2)) | (~greater_or_equal(position(X!5, T3!1), position(X!5, T2!2))) | (~greater(capability(X!5, T3!1), capability(X!5, T2!2))))))),
% 0.21/0.49 inference(unit_resolution,[status(thm)],[147, 138, 12, 123, 116])).
% 0.21/0.49 tff(149,plain,
% 0.21/0.49 (((~(smaller(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2)) | (~greater_or_equal(capability(X!5, T3!1), capability(X!5, T2!2))) | (~greater(position(X!5, T3!1), position(X!5, T2!2))))) | (~((~(capability(X!5, T3!1) = capability(X!5, T2!2))) | (hazard_of_mortality(X!5, T3!1) = hazard_of_mortality(X!5, T2!2)) | (~(position(X!5, T3!1) = position(X!5, T2!2))))) | (~(smaller(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2)) | (~greater_or_equal(position(X!5, T3!1), position(X!5, T2!2))) | (~greater(capability(X!5, T3!1), capability(X!5, T2!2)))))) | (smaller(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2)) | (~greater_or_equal(capability(X!5, T3!1), capability(X!5, T2!2))) | (~greater(position(X!5, T3!1), position(X!5, T2!2))))),
% 0.21/0.49 inference(tautology,[status(thm)],[])).
% 0.21/0.49 tff(150,plain,
% 0.21/0.49 (smaller(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2)) | (~greater_or_equal(capability(X!5, T3!1), capability(X!5, T2!2))) | (~greater(position(X!5, T3!1), position(X!5, T2!2)))),
% 0.21/0.49 inference(unit_resolution,[status(thm)],[149, 148])).
% 0.21/0.49 tff(151,plain,
% 0.21/0.49 (^[X: $i, Y: $i] : refl((smaller(X, Y) <=> greater(Y, X)) <=> (smaller(X, Y) <=> greater(Y, X)))),
% 0.21/0.49 inference(bind,[status(th)],[])).
% 0.21/0.49 tff(152,plain,
% 0.21/0.49 (![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X)) <=> ![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))),
% 0.21/0.49 inference(quant_intro,[status(thm)],[151])).
% 0.21/0.49 tff(153,plain,
% 0.21/0.49 (![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X)) <=> ![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))),
% 0.21/0.49 inference(rewrite,[status(thm)],[])).
% 0.21/0.49 tff(154,axiom,(![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))), file('/export/starexec/sandbox/benchmark/Axioms/MGT001+0.ax','definition_smaller')).
% 0.21/0.49 tff(155,plain,
% 0.21/0.49 (![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))),
% 0.21/0.49 inference(modus_ponens,[status(thm)],[154, 153])).
% 0.21/0.49 tff(156,plain,(
% 0.21/0.49 ![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))),
% 0.21/0.49 inference(skolemize,[status(sab)],[155])).
% 0.21/0.49 tff(157,plain,
% 0.21/0.49 (![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))),
% 0.21/0.49 inference(modus_ponens,[status(thm)],[156, 152])).
% 0.21/0.49 tff(158,plain,
% 0.21/0.49 ((~![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))) | (smaller(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2)) <=> greater(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T3!1)))),
% 0.21/0.49 inference(quant_inst,[status(thm)],[])).
% 0.21/0.49 tff(159,plain,
% 0.21/0.49 (smaller(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2)) <=> greater(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T3!1))),
% 0.21/0.49 inference(unit_resolution,[status(thm)],[158, 157])).
% 0.21/0.49 tff(160,plain,
% 0.21/0.49 ((~![T: $i] : (~((~organization(X!5)) | (~((~smaller_or_equal(age(X!5, T), eta)) | has_immunity(X!5, T))) | (~((~has_immunity(X!5, T)) | (~greater(age(X!5, T), eta))))))) | (~((~organization(X!5)) | (~((~smaller_or_equal(age(X!5, T1!3), eta)) | has_immunity(X!5, T1!3))) | (~((~has_immunity(X!5, T1!3)) | (~greater(age(X!5, T1!3), eta))))))),
% 0.21/0.49 inference(quant_inst,[status(thm)],[])).
% 0.21/0.49 tff(161,plain,
% 0.21/0.49 (~((~organization(X!5)) | (~((~smaller_or_equal(age(X!5, T1!3), eta)) | has_immunity(X!5, T1!3))) | (~((~has_immunity(X!5, T1!3)) | (~greater(age(X!5, T1!3), eta)))))),
% 0.21/0.49 inference(unit_resolution,[status(thm)],[160, 89])).
% 0.21/0.49 tff(162,plain,
% 0.21/0.49 (((~organization(X!5)) | (~((~smaller_or_equal(age(X!5, T1!3), eta)) | has_immunity(X!5, T1!3))) | (~((~has_immunity(X!5, T1!3)) | (~greater(age(X!5, T1!3), eta))))) | ((~smaller_or_equal(age(X!5, T1!3), eta)) | has_immunity(X!5, T1!3))),
% 0.21/0.49 inference(tautology,[status(thm)],[])).
% 0.21/0.49 tff(163,plain,
% 0.21/0.49 ((~smaller_or_equal(age(X!5, T1!3), eta)) | has_immunity(X!5, T1!3)),
% 0.21/0.49 inference(unit_resolution,[status(thm)],[162, 161])).
% 0.21/0.49 tff(164,plain,
% 0.21/0.49 (smaller_or_equal(age(X!5, T1!3), eta)),
% 0.21/0.49 inference(and_elim,[status(thm)],[10])).
% 0.21/0.49 tff(165,plain,
% 0.21/0.49 ((~((~smaller_or_equal(age(X!5, T1!3), eta)) | has_immunity(X!5, T1!3))) | (~smaller_or_equal(age(X!5, T1!3), eta)) | has_immunity(X!5, T1!3)),
% 0.21/0.49 inference(tautology,[status(thm)],[])).
% 0.21/0.49 tff(166,plain,
% 0.21/0.49 ((~((~smaller_or_equal(age(X!5, T1!3), eta)) | has_immunity(X!5, T1!3))) | has_immunity(X!5, T1!3)),
% 0.21/0.49 inference(unit_resolution,[status(thm)],[165, 164])).
% 0.21/0.49 tff(167,plain,
% 0.21/0.49 (has_immunity(X!5, T1!3)),
% 0.21/0.49 inference(unit_resolution,[status(thm)],[166, 163])).
% 0.21/0.49 tff(168,assumption,(~greater(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T1!3))), introduced(assumption)).
% 0.21/0.49 tff(169,plain,
% 0.21/0.49 (^[X: $i, T0: $i, T: $i] : refl((has_immunity(X, T) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~has_immunity(X, T0)) | (~organization(X))) <=> (has_immunity(X, T) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~has_immunity(X, T0)) | (~organization(X))))),
% 0.21/0.49 inference(bind,[status(th)],[])).
% 0.21/0.49 tff(170,plain,
% 0.21/0.49 (![X: $i, T0: $i, T: $i] : (has_immunity(X, T) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~has_immunity(X, T0)) | (~organization(X))) <=> ![X: $i, T0: $i, T: $i] : (has_immunity(X, T) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~has_immunity(X, T0)) | (~organization(X)))),
% 0.21/0.49 inference(quant_intro,[status(thm)],[169])).
% 0.21/0.49 tff(171,plain,
% 0.21/0.49 (^[X: $i, T0: $i, T: $i] : trans(monotonicity(trans(monotonicity(rewrite((organization(X) & has_immunity(X, T0) & (~has_immunity(X, T))) <=> (~((~organization(X)) | (~has_immunity(X, T0)) | has_immunity(X, T)))), ((~(organization(X) & has_immunity(X, T0) & (~has_immunity(X, T)))) <=> (~(~((~organization(X)) | (~has_immunity(X, T0)) | has_immunity(X, T)))))), rewrite((~(~((~organization(X)) | (~has_immunity(X, T0)) | has_immunity(X, T)))) <=> ((~organization(X)) | (~has_immunity(X, T0)) | has_immunity(X, T))), ((~(organization(X) & has_immunity(X, T0) & (~has_immunity(X, T)))) <=> ((~organization(X)) | (~has_immunity(X, T0)) | has_immunity(X, T)))), (((~(organization(X) & has_immunity(X, T0) & (~has_immunity(X, T)))) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) <=> (((~organization(X)) | (~has_immunity(X, T0)) | has_immunity(X, T)) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))))), rewrite((((~organization(X)) | (~has_immunity(X, T0)) | has_immunity(X, T)) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) <=> (has_immunity(X, T) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~has_immunity(X, T0)) | (~organization(X)))), (((~(organization(X) & has_immunity(X, T0) & (~has_immunity(X, T)))) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) <=> (has_immunity(X, T) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~has_immunity(X, T0)) | (~organization(X)))))),
% 0.21/0.50 inference(bind,[status(th)],[])).
% 0.21/0.50 tff(172,plain,
% 0.21/0.50 (![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] : (has_immunity(X, T) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~has_immunity(X, T0)) | (~organization(X)))),
% 0.21/0.50 inference(quant_intro,[status(thm)],[171])).
% 0.21/0.50 tff(173,plain,
% 0.21/0.50 (![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)))),
% 0.21/0.50 inference(rewrite,[status(thm)],[])).
% 0.21/0.50 tff(174,plain,
% 0.21/0.50 (^[X: $i, T0: $i, T: $i] : trans(monotonicity(rewrite(((organization(X) & has_immunity(X, T0)) & (~has_immunity(X, T))) <=> (organization(X) & has_immunity(X, T0) & (~has_immunity(X, T)))), ((((organization(X) & has_immunity(X, T0)) & (~has_immunity(X, T))) => greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) <=> ((organization(X) & has_immunity(X, T0) & (~has_immunity(X, T))) => greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))))), rewrite(((organization(X) & has_immunity(X, T0) & (~has_immunity(X, T))) => greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) <=> ((~(organization(X) & has_immunity(X, T0) & (~has_immunity(X, T)))) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)))), ((((organization(X) & has_immunity(X, T0)) & (~has_immunity(X, T))) => greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) <=> ((~(organization(X) & has_immunity(X, T0) & (~has_immunity(X, T)))) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)))))),
% 0.21/0.50 inference(bind,[status(th)],[])).
% 0.21/0.50 tff(175,plain,
% 0.21/0.50 (![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)))),
% 0.21/0.50 inference(quant_intro,[status(thm)],[174])).
% 0.21/0.50 tff(176,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')).
% 0.21/0.50 tff(177,plain,
% 0.21/0.50 (![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)))),
% 0.21/0.50 inference(modus_ponens,[status(thm)],[176, 175])).
% 0.21/0.50 tff(178,plain,
% 0.21/0.50 (![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)))),
% 0.21/0.50 inference(modus_ponens,[status(thm)],[177, 173])).
% 0.21/0.50 tff(179,plain,(
% 0.21/0.50 ![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)))),
% 0.21/0.50 inference(skolemize,[status(sab)],[178])).
% 0.21/0.50 tff(180,plain,
% 0.21/0.50 (![X: $i, T0: $i, T: $i] : (has_immunity(X, T) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~has_immunity(X, T0)) | (~organization(X)))),
% 0.21/0.50 inference(modus_ponens,[status(thm)],[179, 172])).
% 0.21/0.50 tff(181,plain,
% 0.21/0.50 (![X: $i, T0: $i, T: $i] : (has_immunity(X, T) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~has_immunity(X, T0)) | (~organization(X)))),
% 0.21/0.50 inference(modus_ponens,[status(thm)],[180, 170])).
% 0.21/0.50 tff(182,plain,
% 0.21/0.50 (((~![X: $i, T0: $i, T: $i] : (has_immunity(X, T) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~has_immunity(X, T0)) | (~organization(X)))) | (greater(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T1!3)) | (~organization(X!5)) | (~has_immunity(X!5, T1!3)) | has_immunity(X!5, T3!1))) <=> ((~![X: $i, T0: $i, T: $i] : (has_immunity(X, T) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~has_immunity(X, T0)) | (~organization(X)))) | greater(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T1!3)) | (~organization(X!5)) | (~has_immunity(X!5, T1!3)) | has_immunity(X!5, T3!1))),
% 0.21/0.50 inference(rewrite,[status(thm)],[])).
% 0.21/0.50 tff(183,plain,
% 0.21/0.50 ((has_immunity(X!5, T3!1) | greater(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T1!3)) | (~has_immunity(X!5, T1!3)) | (~organization(X!5))) <=> (greater(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T1!3)) | (~organization(X!5)) | (~has_immunity(X!5, T1!3)) | has_immunity(X!5, T3!1))),
% 0.21/0.50 inference(rewrite,[status(thm)],[])).
% 0.21/0.50 tff(184,plain,
% 0.21/0.50 (((~![X: $i, T0: $i, T: $i] : (has_immunity(X, T) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~has_immunity(X, T0)) | (~organization(X)))) | (has_immunity(X!5, T3!1) | greater(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T1!3)) | (~has_immunity(X!5, T1!3)) | (~organization(X!5)))) <=> ((~![X: $i, T0: $i, T: $i] : (has_immunity(X, T) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~has_immunity(X, T0)) | (~organization(X)))) | (greater(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T1!3)) | (~organization(X!5)) | (~has_immunity(X!5, T1!3)) | has_immunity(X!5, T3!1)))),
% 0.21/0.50 inference(monotonicity,[status(thm)],[183])).
% 0.21/0.50 tff(185,plain,
% 0.21/0.50 (((~![X: $i, T0: $i, T: $i] : (has_immunity(X, T) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~has_immunity(X, T0)) | (~organization(X)))) | (has_immunity(X!5, T3!1) | greater(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T1!3)) | (~has_immunity(X!5, T1!3)) | (~organization(X!5)))) <=> ((~![X: $i, T0: $i, T: $i] : (has_immunity(X, T) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~has_immunity(X, T0)) | (~organization(X)))) | greater(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T1!3)) | (~organization(X!5)) | (~has_immunity(X!5, T1!3)) | has_immunity(X!5, T3!1))),
% 0.21/0.50 inference(transitivity,[status(thm)],[184, 182])).
% 0.21/0.50 tff(186,plain,
% 0.21/0.50 ((~![X: $i, T0: $i, T: $i] : (has_immunity(X, T) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~has_immunity(X, T0)) | (~organization(X)))) | (has_immunity(X!5, T3!1) | greater(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T1!3)) | (~has_immunity(X!5, T1!3)) | (~organization(X!5)))),
% 0.21/0.50 inference(quant_inst,[status(thm)],[])).
% 0.21/0.50 tff(187,plain,
% 0.21/0.50 ((~![X: $i, T0: $i, T: $i] : (has_immunity(X, T) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~has_immunity(X, T0)) | (~organization(X)))) | greater(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T1!3)) | (~organization(X!5)) | (~has_immunity(X!5, T1!3)) | has_immunity(X!5, T3!1)),
% 0.21/0.50 inference(modus_ponens,[status(thm)],[186, 185])).
% 0.21/0.50 tff(188,plain,
% 0.21/0.50 ($false),
% 0.21/0.50 inference(unit_resolution,[status(thm)],[187, 181, 12, 168, 167, 116])).
% 0.21/0.50 tff(189,plain,(greater(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T1!3))), inference(lemma,lemma(discharge,[]))).
% 0.21/0.50 tff(190,plain,
% 0.21/0.50 ((~![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))) | (smaller(age(X!5, T0!4), age(X!5, T1!3)) <=> greater(age(X!5, T1!3), age(X!5, T0!4)))),
% 0.21/0.50 inference(quant_inst,[status(thm)],[])).
% 0.21/0.50 tff(191,plain,
% 0.21/0.50 (smaller(age(X!5, T0!4), age(X!5, T1!3)) <=> greater(age(X!5, T1!3), age(X!5, T0!4))),
% 0.21/0.50 inference(unit_resolution,[status(thm)],[190, 157])).
% 0.21/0.50 tff(192,assumption,(~smaller_or_equal(age(X!5, T0!4), eta)), introduced(assumption)).
% 0.21/0.50 tff(193,assumption,(age(X!5, T0!4) = age(X!5, T1!3)), introduced(assumption)).
% 0.21/0.50 tff(194,plain,
% 0.21/0.50 (smaller_or_equal(age(X!5, T0!4), eta) <=> smaller_or_equal(age(X!5, T1!3), eta)),
% 0.21/0.50 inference(monotonicity,[status(thm)],[193])).
% 0.21/0.50 tff(195,plain,
% 0.21/0.50 (smaller_or_equal(age(X!5, T1!3), eta) <=> smaller_or_equal(age(X!5, T0!4), eta)),
% 0.21/0.50 inference(symmetry,[status(thm)],[194])).
% 0.21/0.50 tff(196,plain,
% 0.21/0.50 (smaller_or_equal(age(X!5, T0!4), eta)),
% 0.21/0.50 inference(modus_ponens,[status(thm)],[164, 195])).
% 0.21/0.50 tff(197,plain,
% 0.21/0.50 ($false),
% 0.21/0.50 inference(unit_resolution,[status(thm)],[192, 196])).
% 0.21/0.50 tff(198,plain,((~(age(X!5, T0!4) = age(X!5, T1!3))) | smaller_or_equal(age(X!5, T0!4), eta)), inference(lemma,lemma(discharge,[]))).
% 0.21/0.50 tff(199,plain,
% 0.21/0.50 (~(age(X!5, T0!4) = age(X!5, T1!3))),
% 0.21/0.50 inference(unit_resolution,[status(thm)],[198, 192])).
% 0.21/0.50 tff(200,plain,
% 0.21/0.50 (^[X: $i, Y: $i] : refl((smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y))) <=> (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y))))),
% 0.21/0.50 inference(bind,[status(th)],[])).
% 0.21/0.50 tff(201,plain,
% 0.21/0.50 (![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y))) <=> ![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))),
% 0.21/0.50 inference(quant_intro,[status(thm)],[200])).
% 0.21/0.50 tff(202,plain,
% 0.21/0.50 (![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y))) <=> ![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))),
% 0.21/0.50 inference(rewrite,[status(thm)],[])).
% 0.21/0.50 tff(203,plain,
% 0.21/0.50 (^[X: $i, Y: $i] : rewrite((smaller_or_equal(X, Y) <=> (smaller(X, Y) | (X = Y))) <=> (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y))))),
% 0.21/0.50 inference(bind,[status(th)],[])).
% 0.21/0.50 tff(204,plain,
% 0.21/0.50 (![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> (smaller(X, Y) | (X = Y))) <=> ![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))),
% 0.21/0.50 inference(quant_intro,[status(thm)],[203])).
% 0.21/0.50 tff(205,axiom,(![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> (smaller(X, Y) | (X = Y)))), file('/export/starexec/sandbox/benchmark/Axioms/MGT001+0.ax','definition_smaller_or_equal')).
% 0.21/0.50 tff(206,plain,
% 0.21/0.50 (![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))),
% 0.21/0.50 inference(modus_ponens,[status(thm)],[205, 204])).
% 0.21/0.50 tff(207,plain,
% 0.21/0.50 (![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))),
% 0.21/0.50 inference(modus_ponens,[status(thm)],[206, 202])).
% 0.21/0.50 tff(208,plain,(
% 0.21/0.50 ![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))),
% 0.21/0.50 inference(skolemize,[status(sab)],[207])).
% 0.21/0.50 tff(209,plain,
% 0.21/0.50 (![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))),
% 0.21/0.50 inference(modus_ponens,[status(thm)],[208, 201])).
% 0.21/0.50 tff(210,plain,
% 0.21/0.50 ((~![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))) | (smaller_or_equal(age(X!5, T0!4), age(X!5, T1!3)) <=> ((age(X!5, T0!4) = age(X!5, T1!3)) | smaller(age(X!5, T0!4), age(X!5, T1!3))))),
% 0.21/0.50 inference(quant_inst,[status(thm)],[])).
% 0.21/0.50 tff(211,plain,
% 0.21/0.50 (smaller_or_equal(age(X!5, T0!4), age(X!5, T1!3)) <=> ((age(X!5, T0!4) = age(X!5, T1!3)) | smaller(age(X!5, T0!4), age(X!5, T1!3)))),
% 0.21/0.50 inference(unit_resolution,[status(thm)],[210, 209])).
% 0.21/0.50 tff(212,plain,
% 0.21/0.50 (smaller_or_equal(age(X!5, T0!4), age(X!5, T1!3))),
% 0.21/0.50 inference(and_elim,[status(thm)],[10])).
% 0.21/0.50 tff(213,plain,
% 0.21/0.50 ((~(smaller_or_equal(age(X!5, T0!4), age(X!5, T1!3)) <=> ((age(X!5, T0!4) = age(X!5, T1!3)) | smaller(age(X!5, T0!4), age(X!5, T1!3))))) | (~smaller_or_equal(age(X!5, T0!4), age(X!5, T1!3))) | ((age(X!5, T0!4) = age(X!5, T1!3)) | smaller(age(X!5, T0!4), age(X!5, T1!3)))),
% 0.21/0.50 inference(tautology,[status(thm)],[])).
% 0.21/0.50 tff(214,plain,
% 0.21/0.50 ((~(smaller_or_equal(age(X!5, T0!4), age(X!5, T1!3)) <=> ((age(X!5, T0!4) = age(X!5, T1!3)) | smaller(age(X!5, T0!4), age(X!5, T1!3))))) | ((age(X!5, T0!4) = age(X!5, T1!3)) | smaller(age(X!5, T0!4), age(X!5, T1!3)))),
% 0.21/0.50 inference(unit_resolution,[status(thm)],[213, 212])).
% 0.21/0.50 tff(215,plain,
% 0.21/0.50 ((age(X!5, T0!4) = age(X!5, T1!3)) | smaller(age(X!5, T0!4), age(X!5, T1!3))),
% 0.21/0.50 inference(unit_resolution,[status(thm)],[214, 211])).
% 0.21/0.50 tff(216,plain,
% 0.21/0.50 ((~((age(X!5, T0!4) = age(X!5, T1!3)) | smaller(age(X!5, T0!4), age(X!5, T1!3)))) | (age(X!5, T0!4) = age(X!5, T1!3)) | smaller(age(X!5, T0!4), age(X!5, T1!3))),
% 0.21/0.50 inference(tautology,[status(thm)],[])).
% 0.21/0.50 tff(217,plain,
% 0.21/0.50 ((age(X!5, T0!4) = age(X!5, T1!3)) | smaller(age(X!5, T0!4), age(X!5, T1!3))),
% 0.21/0.50 inference(unit_resolution,[status(thm)],[216, 215])).
% 0.21/0.50 tff(218,plain,
% 0.21/0.50 (smaller(age(X!5, T0!4), age(X!5, T1!3))),
% 0.21/0.50 inference(unit_resolution,[status(thm)],[217, 199])).
% 0.21/0.50 tff(219,plain,
% 0.21/0.50 ((~(smaller(age(X!5, T0!4), age(X!5, T1!3)) <=> greater(age(X!5, T1!3), age(X!5, T0!4)))) | (~smaller(age(X!5, T0!4), age(X!5, T1!3))) | greater(age(X!5, T1!3), age(X!5, T0!4))),
% 0.21/0.50 inference(tautology,[status(thm)],[])).
% 0.21/0.50 tff(220,plain,
% 0.21/0.50 ((~(smaller(age(X!5, T0!4), age(X!5, T1!3)) <=> greater(age(X!5, T1!3), age(X!5, T0!4)))) | greater(age(X!5, T1!3), age(X!5, T0!4))),
% 0.21/0.50 inference(unit_resolution,[status(thm)],[219, 218])).
% 0.21/0.50 tff(221,plain,
% 0.21/0.50 (greater(age(X!5, T1!3), age(X!5, T0!4))),
% 0.21/0.50 inference(unit_resolution,[status(thm)],[220, 191])).
% 0.21/0.50 tff(222,plain,
% 0.21/0.50 (((~organization(X!5)) | (~((~smaller_or_equal(age(X!5, T1!3), eta)) | has_immunity(X!5, T1!3))) | (~((~has_immunity(X!5, T1!3)) | (~greater(age(X!5, T1!3), eta))))) | ((~has_immunity(X!5, T1!3)) | (~greater(age(X!5, T1!3), eta)))),
% 0.21/0.50 inference(tautology,[status(thm)],[])).
% 0.21/0.50 tff(223,plain,
% 0.21/0.50 ((~has_immunity(X!5, T1!3)) | (~greater(age(X!5, T1!3), eta))),
% 0.21/0.50 inference(unit_resolution,[status(thm)],[222, 161])).
% 0.21/0.50 tff(224,plain,
% 0.21/0.50 ((~((~has_immunity(X!5, T1!3)) | (~greater(age(X!5, T1!3), eta)))) | (~has_immunity(X!5, T1!3)) | (~greater(age(X!5, T1!3), eta))),
% 0.21/0.50 inference(tautology,[status(thm)],[])).
% 0.21/0.50 tff(225,plain,
% 0.21/0.50 (~greater(age(X!5, T1!3), eta)),
% 0.21/0.50 inference(unit_resolution,[status(thm)],[224, 167, 223])).
% 0.21/0.50 tff(226,plain,
% 0.21/0.50 ((~![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))) | (smaller_or_equal(age(X!5, T0!4), eta) <=> ((age(X!5, T0!4) = eta) | smaller(age(X!5, T0!4), eta)))),
% 0.21/0.50 inference(quant_inst,[status(thm)],[])).
% 0.21/0.50 tff(227,plain,
% 0.21/0.50 (smaller_or_equal(age(X!5, T0!4), eta) <=> ((age(X!5, T0!4) = eta) | smaller(age(X!5, T0!4), eta))),
% 0.21/0.50 inference(unit_resolution,[status(thm)],[226, 209])).
% 0.21/0.50 tff(228,plain,
% 0.21/0.50 ((~(smaller_or_equal(age(X!5, T0!4), eta) <=> ((age(X!5, T0!4) = eta) | smaller(age(X!5, T0!4), eta)))) | smaller_or_equal(age(X!5, T0!4), eta) | (~((age(X!5, T0!4) = eta) | smaller(age(X!5, T0!4), eta)))),
% 0.21/0.50 inference(tautology,[status(thm)],[])).
% 0.21/0.50 tff(229,plain,
% 0.21/0.50 ((~(smaller_or_equal(age(X!5, T0!4), eta) <=> ((age(X!5, T0!4) = eta) | smaller(age(X!5, T0!4), eta)))) | (~((age(X!5, T0!4) = eta) | smaller(age(X!5, T0!4), eta)))),
% 0.21/0.50 inference(unit_resolution,[status(thm)],[228, 192])).
% 0.21/0.50 tff(230,plain,
% 0.21/0.50 (~((age(X!5, T0!4) = eta) | smaller(age(X!5, T0!4), eta))),
% 0.21/0.50 inference(unit_resolution,[status(thm)],[229, 227])).
% 0.21/0.50 tff(231,plain,
% 0.21/0.50 (((age(X!5, T0!4) = eta) | smaller(age(X!5, T0!4), eta)) | (~smaller(age(X!5, T0!4), eta))),
% 0.21/0.50 inference(tautology,[status(thm)],[])).
% 0.21/0.50 tff(232,plain,
% 0.21/0.50 (~smaller(age(X!5, T0!4), eta)),
% 0.21/0.50 inference(unit_resolution,[status(thm)],[231, 230])).
% 0.21/0.50 tff(233,plain,
% 0.21/0.50 (((age(X!5, T0!4) = eta) | smaller(age(X!5, T0!4), eta)) | (~(age(X!5, T0!4) = eta))),
% 0.21/0.50 inference(tautology,[status(thm)],[])).
% 0.21/0.50 tff(234,plain,
% 0.21/0.50 (~(age(X!5, T0!4) = eta)),
% 0.21/0.50 inference(unit_resolution,[status(thm)],[233, 230])).
% 0.21/0.50 tff(235,plain,
% 0.21/0.50 (^[X: $i, Y: $i] : refl(((X = Y) | smaller(X, Y) | greater(X, Y)) <=> ((X = Y) | smaller(X, Y) | greater(X, Y)))),
% 0.21/0.50 inference(bind,[status(th)],[])).
% 0.21/0.50 tff(236,plain,
% 0.21/0.50 (![X: $i, Y: $i] : ((X = Y) | smaller(X, Y) | greater(X, Y)) <=> ![X: $i, Y: $i] : ((X = Y) | smaller(X, Y) | greater(X, Y))),
% 0.21/0.50 inference(quant_intro,[status(thm)],[235])).
% 0.21/0.50 tff(237,plain,
% 0.21/0.50 (![X: $i, Y: $i] : ((X = Y) | smaller(X, Y) | greater(X, Y)) <=> ![X: $i, Y: $i] : ((X = Y) | smaller(X, Y) | greater(X, Y))),
% 0.21/0.50 inference(rewrite,[status(thm)],[])).
% 0.21/0.50 tff(238,plain,
% 0.21/0.50 (^[X: $i, Y: $i] : trans(monotonicity(rewrite((smaller(X, Y) | (X = Y)) <=> ((X = Y) | smaller(X, Y))), (((smaller(X, Y) | (X = Y)) | greater(X, Y)) <=> (((X = Y) | smaller(X, Y)) | greater(X, Y)))), rewrite((((X = Y) | smaller(X, Y)) | greater(X, Y)) <=> ((X = Y) | smaller(X, Y) | greater(X, Y))), (((smaller(X, Y) | (X = Y)) | greater(X, Y)) <=> ((X = Y) | smaller(X, Y) | greater(X, Y))))),
% 0.21/0.50 inference(bind,[status(th)],[])).
% 0.21/0.50 tff(239,plain,
% 0.21/0.50 (![X: $i, Y: $i] : ((smaller(X, Y) | (X = Y)) | greater(X, Y)) <=> ![X: $i, Y: $i] : ((X = Y) | smaller(X, Y) | greater(X, Y))),
% 0.21/0.50 inference(quant_intro,[status(thm)],[238])).
% 0.21/0.50 tff(240,axiom,(![X: $i, Y: $i] : ((smaller(X, Y) | (X = Y)) | greater(X, Y))), file('/export/starexec/sandbox/benchmark/Axioms/MGT001+0.ax','meaning_postulate_greater_comparable')).
% 0.21/0.50 tff(241,plain,
% 0.21/0.50 (![X: $i, Y: $i] : ((X = Y) | smaller(X, Y) | greater(X, Y))),
% 0.21/0.50 inference(modus_ponens,[status(thm)],[240, 239])).
% 0.21/0.50 tff(242,plain,
% 0.21/0.50 (![X: $i, Y: $i] : ((X = Y) | smaller(X, Y) | greater(X, Y))),
% 0.21/0.50 inference(modus_ponens,[status(thm)],[241, 237])).
% 0.21/0.50 tff(243,plain,(
% 0.21/0.50 ![X: $i, Y: $i] : ((X = Y) | smaller(X, Y) | greater(X, Y))),
% 0.21/0.50 inference(skolemize,[status(sab)],[242])).
% 0.21/0.50 tff(244,plain,
% 0.21/0.50 (![X: $i, Y: $i] : ((X = Y) | smaller(X, Y) | greater(X, Y))),
% 0.21/0.50 inference(modus_ponens,[status(thm)],[243, 236])).
% 0.21/0.50 tff(245,plain,
% 0.21/0.50 (((~![X: $i, Y: $i] : ((X = Y) | smaller(X, Y) | greater(X, Y))) | (greater(age(X!5, T0!4), eta) | (age(X!5, T0!4) = eta) | smaller(age(X!5, T0!4), eta))) <=> ((~![X: $i, Y: $i] : ((X = Y) | smaller(X, Y) | greater(X, Y))) | greater(age(X!5, T0!4), eta) | (age(X!5, T0!4) = eta) | smaller(age(X!5, T0!4), eta))),
% 0.21/0.51 inference(rewrite,[status(thm)],[])).
% 0.21/0.51 tff(246,plain,
% 0.21/0.51 (((age(X!5, T0!4) = eta) | smaller(age(X!5, T0!4), eta) | greater(age(X!5, T0!4), eta)) <=> (greater(age(X!5, T0!4), eta) | (age(X!5, T0!4) = eta) | smaller(age(X!5, T0!4), eta))),
% 0.21/0.51 inference(rewrite,[status(thm)],[])).
% 0.21/0.51 tff(247,plain,
% 0.21/0.51 (((~![X: $i, Y: $i] : ((X = Y) | smaller(X, Y) | greater(X, Y))) | ((age(X!5, T0!4) = eta) | smaller(age(X!5, T0!4), eta) | greater(age(X!5, T0!4), eta))) <=> ((~![X: $i, Y: $i] : ((X = Y) | smaller(X, Y) | greater(X, Y))) | (greater(age(X!5, T0!4), eta) | (age(X!5, T0!4) = eta) | smaller(age(X!5, T0!4), eta)))),
% 0.21/0.51 inference(monotonicity,[status(thm)],[246])).
% 0.21/0.51 tff(248,plain,
% 0.21/0.51 (((~![X: $i, Y: $i] : ((X = Y) | smaller(X, Y) | greater(X, Y))) | ((age(X!5, T0!4) = eta) | smaller(age(X!5, T0!4), eta) | greater(age(X!5, T0!4), eta))) <=> ((~![X: $i, Y: $i] : ((X = Y) | smaller(X, Y) | greater(X, Y))) | greater(age(X!5, T0!4), eta) | (age(X!5, T0!4) = eta) | smaller(age(X!5, T0!4), eta))),
% 0.21/0.51 inference(transitivity,[status(thm)],[247, 245])).
% 0.21/0.51 tff(249,plain,
% 0.21/0.51 ((~![X: $i, Y: $i] : ((X = Y) | smaller(X, Y) | greater(X, Y))) | ((age(X!5, T0!4) = eta) | smaller(age(X!5, T0!4), eta) | greater(age(X!5, T0!4), eta))),
% 0.21/0.51 inference(quant_inst,[status(thm)],[])).
% 0.21/0.51 tff(250,plain,
% 0.21/0.51 ((~![X: $i, Y: $i] : ((X = Y) | smaller(X, Y) | greater(X, Y))) | greater(age(X!5, T0!4), eta) | (age(X!5, T0!4) = eta) | smaller(age(X!5, T0!4), eta)),
% 0.21/0.51 inference(modus_ponens,[status(thm)],[249, 248])).
% 0.21/0.51 tff(251,plain,
% 0.21/0.51 (greater(age(X!5, T0!4), eta)),
% 0.21/0.51 inference(unit_resolution,[status(thm)],[250, 244, 234, 232])).
% 0.21/0.51 tff(252,plain,
% 0.21/0.51 (((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | ((~greater(age(X!5, T0!4), eta)) | greater(age(X!5, T1!3), eta) | (~greater(age(X!5, T1!3), age(X!5, T0!4))))) <=> ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (~greater(age(X!5, T0!4), eta)) | greater(age(X!5, T1!3), eta) | (~greater(age(X!5, T1!3), age(X!5, T0!4))))),
% 0.21/0.51 inference(rewrite,[status(thm)],[])).
% 0.21/0.51 tff(253,plain,
% 0.21/0.51 ((greater(age(X!5, T1!3), eta) | (~greater(age(X!5, T0!4), eta)) | (~greater(age(X!5, T1!3), age(X!5, T0!4)))) <=> ((~greater(age(X!5, T0!4), eta)) | greater(age(X!5, T1!3), eta) | (~greater(age(X!5, T1!3), age(X!5, T0!4))))),
% 0.21/0.51 inference(rewrite,[status(thm)],[])).
% 0.21/0.51 tff(254,plain,
% 0.21/0.51 (((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (greater(age(X!5, T1!3), eta) | (~greater(age(X!5, T0!4), eta)) | (~greater(age(X!5, T1!3), age(X!5, T0!4))))) <=> ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | ((~greater(age(X!5, T0!4), eta)) | greater(age(X!5, T1!3), eta) | (~greater(age(X!5, T1!3), age(X!5, T0!4)))))),
% 0.21/0.51 inference(monotonicity,[status(thm)],[253])).
% 0.21/0.51 tff(255,plain,
% 0.21/0.51 (((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (greater(age(X!5, T1!3), eta) | (~greater(age(X!5, T0!4), eta)) | (~greater(age(X!5, T1!3), age(X!5, T0!4))))) <=> ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (~greater(age(X!5, T0!4), eta)) | greater(age(X!5, T1!3), eta) | (~greater(age(X!5, T1!3), age(X!5, T0!4))))),
% 0.21/0.51 inference(transitivity,[status(thm)],[254, 252])).
% 0.21/0.51 tff(256,plain,
% 0.21/0.51 ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (greater(age(X!5, T1!3), eta) | (~greater(age(X!5, T0!4), eta)) | (~greater(age(X!5, T1!3), age(X!5, T0!4))))),
% 0.21/0.51 inference(quant_inst,[status(thm)],[])).
% 0.21/0.51 tff(257,plain,
% 0.21/0.51 ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (~greater(age(X!5, T0!4), eta)) | greater(age(X!5, T1!3), eta) | (~greater(age(X!5, T1!3), age(X!5, T0!4)))),
% 0.21/0.51 inference(modus_ponens,[status(thm)],[256, 255])).
% 0.21/0.51 tff(258,plain,
% 0.21/0.51 ($false),
% 0.21/0.51 inference(unit_resolution,[status(thm)],[257, 106, 251, 225, 221])).
% 0.21/0.51 tff(259,plain,(smaller_or_equal(age(X!5, T0!4), eta)), inference(lemma,lemma(discharge,[]))).
% 0.21/0.51 tff(260,plain,
% 0.21/0.51 ((~![T: $i] : (~((~organization(X!5)) | (~((~smaller_or_equal(age(X!5, T), eta)) | has_immunity(X!5, T))) | (~((~has_immunity(X!5, T)) | (~greater(age(X!5, T), eta))))))) | (~((~organization(X!5)) | (~((~smaller_or_equal(age(X!5, T0!4), eta)) | has_immunity(X!5, T0!4))) | (~((~has_immunity(X!5, T0!4)) | (~greater(age(X!5, T0!4), eta))))))),
% 0.21/0.51 inference(quant_inst,[status(thm)],[])).
% 0.21/0.51 tff(261,plain,
% 0.21/0.51 (~((~organization(X!5)) | (~((~smaller_or_equal(age(X!5, T0!4), eta)) | has_immunity(X!5, T0!4))) | (~((~has_immunity(X!5, T0!4)) | (~greater(age(X!5, T0!4), eta)))))),
% 0.21/0.51 inference(unit_resolution,[status(thm)],[260, 89])).
% 0.21/0.51 tff(262,plain,
% 0.21/0.51 (((~organization(X!5)) | (~((~smaller_or_equal(age(X!5, T0!4), eta)) | has_immunity(X!5, T0!4))) | (~((~has_immunity(X!5, T0!4)) | (~greater(age(X!5, T0!4), eta))))) | ((~smaller_or_equal(age(X!5, T0!4), eta)) | has_immunity(X!5, T0!4))),
% 0.21/0.51 inference(tautology,[status(thm)],[])).
% 0.21/0.51 tff(263,plain,
% 0.21/0.51 ((~smaller_or_equal(age(X!5, T0!4), eta)) | has_immunity(X!5, T0!4)),
% 0.21/0.51 inference(unit_resolution,[status(thm)],[262, 261])).
% 0.21/0.51 tff(264,plain,
% 0.21/0.51 ((~((~smaller_or_equal(age(X!5, T0!4), eta)) | has_immunity(X!5, T0!4))) | (~smaller_or_equal(age(X!5, T0!4), eta)) | has_immunity(X!5, T0!4)),
% 0.21/0.51 inference(tautology,[status(thm)],[])).
% 0.21/0.51 tff(265,plain,
% 0.21/0.51 ((~smaller_or_equal(age(X!5, T0!4), eta)) | has_immunity(X!5, T0!4)),
% 0.21/0.51 inference(unit_resolution,[status(thm)],[264, 263])).
% 0.21/0.51 tff(266,plain,
% 0.21/0.51 (has_immunity(X!5, T0!4)),
% 0.21/0.51 inference(unit_resolution,[status(thm)],[265, 259])).
% 0.21/0.51 tff(267,assumption,(~(hazard_of_mortality(X!5, T1!3) = hazard_of_mortality(X!5, T0!4))), introduced(assumption)).
% 0.21/0.51 tff(268,plain,
% 0.21/0.51 (^[X: $i, T0: $i, T: $i] : refl(((hazard_of_mortality(X, T0) = hazard_of_mortality(X, T)) | (~has_immunity(X, T)) | (~has_immunity(X, T0)) | (~organization(X))) <=> ((hazard_of_mortality(X, T0) = hazard_of_mortality(X, T)) | (~has_immunity(X, T)) | (~has_immunity(X, T0)) | (~organization(X))))),
% 0.21/0.51 inference(bind,[status(th)],[])).
% 0.21/0.51 tff(269,plain,
% 0.21/0.51 (![X: $i, T0: $i, T: $i] : ((hazard_of_mortality(X, T0) = hazard_of_mortality(X, T)) | (~has_immunity(X, T)) | (~has_immunity(X, T0)) | (~organization(X))) <=> ![X: $i, T0: $i, T: $i] : ((hazard_of_mortality(X, T0) = hazard_of_mortality(X, T)) | (~has_immunity(X, T)) | (~has_immunity(X, T0)) | (~organization(X)))),
% 0.21/0.51 inference(quant_intro,[status(thm)],[268])).
% 0.21/0.51 tff(270,plain,
% 0.21/0.51 (^[X: $i, T0: $i, T: $i] : trans(monotonicity(trans(monotonicity(rewrite((organization(X) & has_immunity(X, T0) & has_immunity(X, T)) <=> (~((~has_immunity(X, T)) | (~has_immunity(X, T0)) | (~organization(X))))), ((~(organization(X) & has_immunity(X, T0) & has_immunity(X, T))) <=> (~(~((~has_immunity(X, T)) | (~has_immunity(X, T0)) | (~organization(X))))))), rewrite((~(~((~has_immunity(X, T)) | (~has_immunity(X, T0)) | (~organization(X))))) <=> ((~has_immunity(X, T)) | (~has_immunity(X, T0)) | (~organization(X)))), ((~(organization(X) & has_immunity(X, T0) & has_immunity(X, T))) <=> ((~has_immunity(X, T)) | (~has_immunity(X, T0)) | (~organization(X))))), (((~(organization(X) & has_immunity(X, T0) & has_immunity(X, T))) | (hazard_of_mortality(X, T0) = hazard_of_mortality(X, T))) <=> (((~has_immunity(X, T)) | (~has_immunity(X, T0)) | (~organization(X))) | (hazard_of_mortality(X, T0) = hazard_of_mortality(X, T))))), rewrite((((~has_immunity(X, T)) | (~has_immunity(X, T0)) | (~organization(X))) | (hazard_of_mortality(X, T0) = hazard_of_mortality(X, T))) <=> ((hazard_of_mortality(X, T0) = hazard_of_mortality(X, T)) | (~has_immunity(X, T)) | (~has_immunity(X, T0)) | (~organization(X)))), (((~(organization(X) & has_immunity(X, T0) & has_immunity(X, T))) | (hazard_of_mortality(X, T0) = hazard_of_mortality(X, T))) <=> ((hazard_of_mortality(X, T0) = hazard_of_mortality(X, T)) | (~has_immunity(X, T)) | (~has_immunity(X, T0)) | (~organization(X)))))),
% 0.21/0.51 inference(bind,[status(th)],[])).
% 0.21/0.51 tff(271,plain,
% 0.21/0.51 (![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] : ((hazard_of_mortality(X, T0) = hazard_of_mortality(X, T)) | (~has_immunity(X, T)) | (~has_immunity(X, T0)) | (~organization(X)))),
% 0.21/0.51 inference(quant_intro,[status(thm)],[270])).
% 0.21/0.51 tff(272,plain,
% 0.21/0.51 (![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)))),
% 0.21/0.51 inference(rewrite,[status(thm)],[])).
% 0.21/0.51 tff(273,plain,
% 0.21/0.51 (^[X: $i, T0: $i, T: $i] : trans(monotonicity(rewrite(((organization(X) & has_immunity(X, T0)) & has_immunity(X, T)) <=> (organization(X) & has_immunity(X, T0) & has_immunity(X, T))), ((((organization(X) & has_immunity(X, T0)) & has_immunity(X, T)) => (hazard_of_mortality(X, T0) = hazard_of_mortality(X, T))) <=> ((organization(X) & has_immunity(X, T0) & has_immunity(X, T)) => (hazard_of_mortality(X, T0) = hazard_of_mortality(X, T))))), rewrite(((organization(X) & has_immunity(X, T0) & has_immunity(X, T)) => (hazard_of_mortality(X, T0) = hazard_of_mortality(X, T))) <=> ((~(organization(X) & has_immunity(X, T0) & has_immunity(X, T))) | (hazard_of_mortality(X, T0) = hazard_of_mortality(X, T)))), ((((organization(X) & has_immunity(X, T0)) & has_immunity(X, T)) => (hazard_of_mortality(X, T0) = hazard_of_mortality(X, T))) <=> ((~(organization(X) & has_immunity(X, T0) & has_immunity(X, T))) | (hazard_of_mortality(X, T0) = hazard_of_mortality(X, T)))))),
% 0.21/0.51 inference(bind,[status(th)],[])).
% 0.21/0.51 tff(274,plain,
% 0.21/0.51 (![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)))),
% 0.21/0.51 inference(quant_intro,[status(thm)],[273])).
% 0.21/0.51 tff(275,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/sandbox/benchmark/theBenchmark.p','assumption_2')).
% 0.21/0.51 tff(276,plain,
% 0.21/0.51 (![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)))),
% 0.21/0.51 inference(modus_ponens,[status(thm)],[275, 274])).
% 0.21/0.51 tff(277,plain,
% 0.21/0.51 (![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)))),
% 0.21/0.51 inference(modus_ponens,[status(thm)],[276, 272])).
% 0.21/0.51 tff(278,plain,(
% 0.21/0.51 ![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)))),
% 0.21/0.51 inference(skolemize,[status(sab)],[277])).
% 0.21/0.51 tff(279,plain,
% 0.21/0.51 (![X: $i, T0: $i, T: $i] : ((hazard_of_mortality(X, T0) = hazard_of_mortality(X, T)) | (~has_immunity(X, T)) | (~has_immunity(X, T0)) | (~organization(X)))),
% 0.21/0.51 inference(modus_ponens,[status(thm)],[278, 271])).
% 0.21/0.51 tff(280,plain,
% 0.21/0.51 (![X: $i, T0: $i, T: $i] : ((hazard_of_mortality(X, T0) = hazard_of_mortality(X, T)) | (~has_immunity(X, T)) | (~has_immunity(X, T0)) | (~organization(X)))),
% 0.21/0.51 inference(modus_ponens,[status(thm)],[279, 269])).
% 0.21/0.51 tff(281,plain,
% 0.21/0.51 (((~![X: $i, T0: $i, T: $i] : ((hazard_of_mortality(X, T0) = hazard_of_mortality(X, T)) | (~has_immunity(X, T)) | (~has_immunity(X, T0)) | (~organization(X)))) | ((hazard_of_mortality(X!5, T1!3) = hazard_of_mortality(X!5, T0!4)) | (~organization(X!5)) | (~has_immunity(X!5, T0!4)) | (~has_immunity(X!5, T1!3)))) <=> ((~![X: $i, T0: $i, T: $i] : ((hazard_of_mortality(X, T0) = hazard_of_mortality(X, T)) | (~has_immunity(X, T)) | (~has_immunity(X, T0)) | (~organization(X)))) | (hazard_of_mortality(X!5, T1!3) = hazard_of_mortality(X!5, T0!4)) | (~organization(X!5)) | (~has_immunity(X!5, T0!4)) | (~has_immunity(X!5, T1!3)))),
% 0.21/0.51 inference(rewrite,[status(thm)],[])).
% 0.21/0.51 tff(282,plain,
% 0.21/0.51 (((hazard_of_mortality(X!5, T1!3) = hazard_of_mortality(X!5, T0!4)) | (~has_immunity(X!5, T0!4)) | (~has_immunity(X!5, T1!3)) | (~organization(X!5))) <=> ((hazard_of_mortality(X!5, T1!3) = hazard_of_mortality(X!5, T0!4)) | (~organization(X!5)) | (~has_immunity(X!5, T0!4)) | (~has_immunity(X!5, T1!3)))),
% 0.21/0.51 inference(rewrite,[status(thm)],[])).
% 0.21/0.51 tff(283,plain,
% 0.21/0.51 (((~![X: $i, T0: $i, T: $i] : ((hazard_of_mortality(X, T0) = hazard_of_mortality(X, T)) | (~has_immunity(X, T)) | (~has_immunity(X, T0)) | (~organization(X)))) | ((hazard_of_mortality(X!5, T1!3) = hazard_of_mortality(X!5, T0!4)) | (~has_immunity(X!5, T0!4)) | (~has_immunity(X!5, T1!3)) | (~organization(X!5)))) <=> ((~![X: $i, T0: $i, T: $i] : ((hazard_of_mortality(X, T0) = hazard_of_mortality(X, T)) | (~has_immunity(X, T)) | (~has_immunity(X, T0)) | (~organization(X)))) | ((hazard_of_mortality(X!5, T1!3) = hazard_of_mortality(X!5, T0!4)) | (~organization(X!5)) | (~has_immunity(X!5, T0!4)) | (~has_immunity(X!5, T1!3))))),
% 0.21/0.51 inference(monotonicity,[status(thm)],[282])).
% 0.21/0.51 tff(284,plain,
% 0.21/0.51 (((~![X: $i, T0: $i, T: $i] : ((hazard_of_mortality(X, T0) = hazard_of_mortality(X, T)) | (~has_immunity(X, T)) | (~has_immunity(X, T0)) | (~organization(X)))) | ((hazard_of_mortality(X!5, T1!3) = hazard_of_mortality(X!5, T0!4)) | (~has_immunity(X!5, T0!4)) | (~has_immunity(X!5, T1!3)) | (~organization(X!5)))) <=> ((~![X: $i, T0: $i, T: $i] : ((hazard_of_mortality(X, T0) = hazard_of_mortality(X, T)) | (~has_immunity(X, T)) | (~has_immunity(X, T0)) | (~organization(X)))) | (hazard_of_mortality(X!5, T1!3) = hazard_of_mortality(X!5, T0!4)) | (~organization(X!5)) | (~has_immunity(X!5, T0!4)) | (~has_immunity(X!5, T1!3)))),
% 0.21/0.51 inference(transitivity,[status(thm)],[283, 281])).
% 0.21/0.51 tff(285,plain,
% 0.21/0.51 ((~![X: $i, T0: $i, T: $i] : ((hazard_of_mortality(X, T0) = hazard_of_mortality(X, T)) | (~has_immunity(X, T)) | (~has_immunity(X, T0)) | (~organization(X)))) | ((hazard_of_mortality(X!5, T1!3) = hazard_of_mortality(X!5, T0!4)) | (~has_immunity(X!5, T0!4)) | (~has_immunity(X!5, T1!3)) | (~organization(X!5)))),
% 0.21/0.51 inference(quant_inst,[status(thm)],[])).
% 0.21/0.51 tff(286,plain,
% 0.21/0.51 ((~![X: $i, T0: $i, T: $i] : ((hazard_of_mortality(X, T0) = hazard_of_mortality(X, T)) | (~has_immunity(X, T)) | (~has_immunity(X, T0)) | (~organization(X)))) | (hazard_of_mortality(X!5, T1!3) = hazard_of_mortality(X!5, T0!4)) | (~organization(X!5)) | (~has_immunity(X!5, T0!4)) | (~has_immunity(X!5, T1!3))),
% 0.21/0.51 inference(modus_ponens,[status(thm)],[285, 284])).
% 0.21/0.51 tff(287,plain,
% 0.21/0.51 ($false),
% 0.21/0.51 inference(unit_resolution,[status(thm)],[286, 280, 12, 267, 266, 167])).
% 0.21/0.51 tff(288,plain,(hazard_of_mortality(X!5, T1!3) = hazard_of_mortality(X!5, T0!4)), inference(lemma,lemma(discharge,[]))).
% 0.21/0.51 tff(289,plain,
% 0.21/0.51 ((~(~((~greater(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T3!1))) | (~greater(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T1!3))) | (~(hazard_of_mortality(X!5, T1!3) = hazard_of_mortality(X!5, T0!4)))))) <=> ((~greater(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T3!1))) | (~greater(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T1!3))) | (~(hazard_of_mortality(X!5, T1!3) = hazard_of_mortality(X!5, T0!4))))),
% 0.21/0.51 inference(rewrite,[status(thm)],[])).
% 0.21/0.51 tff(290,plain,
% 0.21/0.51 ((greater(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T3!1)) & greater(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T1!3)) & (hazard_of_mortality(X!5, T1!3) = hazard_of_mortality(X!5, T0!4))) <=> (~((~greater(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T3!1))) | (~greater(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T1!3))) | (~(hazard_of_mortality(X!5, T1!3) = hazard_of_mortality(X!5, T0!4)))))),
% 0.21/0.51 inference(rewrite,[status(thm)],[])).
% 0.21/0.51 tff(291,plain,
% 0.21/0.51 ((~(greater(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T3!1)) & greater(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T1!3)) & (hazard_of_mortality(X!5, T1!3) = hazard_of_mortality(X!5, T0!4)))) <=> (~(~((~greater(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T3!1))) | (~greater(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T1!3))) | (~(hazard_of_mortality(X!5, T1!3) = hazard_of_mortality(X!5, T0!4))))))),
% 0.21/0.52 inference(monotonicity,[status(thm)],[290])).
% 0.21/0.52 tff(292,plain,
% 0.21/0.52 ((~(greater(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T3!1)) & greater(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T1!3)) & (hazard_of_mortality(X!5, T1!3) = hazard_of_mortality(X!5, T0!4)))) <=> ((~greater(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T3!1))) | (~greater(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T1!3))) | (~(hazard_of_mortality(X!5, T1!3) = hazard_of_mortality(X!5, T0!4))))),
% 0.21/0.52 inference(transitivity,[status(thm)],[291, 289])).
% 0.21/0.52 tff(293,plain,
% 0.21/0.52 (~(greater(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T3!1)) & greater(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T1!3)) & (hazard_of_mortality(X!5, T1!3) = hazard_of_mortality(X!5, T0!4)))),
% 0.21/0.52 inference(or_elim,[status(thm)],[9])).
% 0.21/0.52 tff(294,plain,
% 0.21/0.52 ((~greater(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T3!1))) | (~greater(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T1!3))) | (~(hazard_of_mortality(X!5, T1!3) = hazard_of_mortality(X!5, T0!4)))),
% 0.21/0.52 inference(modus_ponens,[status(thm)],[293, 292])).
% 0.21/0.52 tff(295,plain,
% 0.21/0.52 ((~greater(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T3!1))) | (~greater(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T1!3)))),
% 0.21/0.52 inference(unit_resolution,[status(thm)],[294, 288])).
% 0.21/0.52 tff(296,plain,
% 0.21/0.52 (~greater(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T3!1))),
% 0.21/0.52 inference(unit_resolution,[status(thm)],[295, 189])).
% 0.21/0.52 tff(297,plain,
% 0.21/0.52 ((~(smaller(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2)) <=> greater(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T3!1)))) | (~smaller(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2))) | greater(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T3!1))),
% 0.21/0.52 inference(tautology,[status(thm)],[])).
% 0.21/0.52 tff(298,plain,
% 0.21/0.52 ((~(smaller(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2)) <=> greater(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T3!1)))) | (~smaller(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2)))),
% 0.21/0.52 inference(unit_resolution,[status(thm)],[297, 296])).
% 0.21/0.52 tff(299,plain,
% 0.21/0.52 (~smaller(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2))),
% 0.21/0.52 inference(unit_resolution,[status(thm)],[298, 159])).
% 0.21/0.52 tff(300,plain,
% 0.21/0.52 ((~(smaller(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2)) | (~greater_or_equal(capability(X!5, T3!1), capability(X!5, T2!2))) | (~greater(position(X!5, T3!1), position(X!5, T2!2))))) | smaller(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2)) | (~greater_or_equal(capability(X!5, T3!1), capability(X!5, T2!2))) | (~greater(position(X!5, T3!1), position(X!5, T2!2)))),
% 0.21/0.52 inference(tautology,[status(thm)],[])).
% 0.21/0.52 tff(301,plain,
% 0.21/0.52 ((~greater_or_equal(capability(X!5, T3!1), capability(X!5, T2!2))) | (~greater(position(X!5, T3!1), position(X!5, T2!2)))),
% 0.21/0.52 inference(unit_resolution,[status(thm)],[300, 299, 150])).
% 0.21/0.52 tff(302,plain,
% 0.21/0.52 (~greater_or_equal(capability(X!5, T3!1), capability(X!5, T2!2))),
% 0.21/0.52 inference(unit_resolution,[status(thm)],[301, 57])).
% 0.21/0.52 tff(303,assumption,(~(greater_or_equal(capability(X!5, T3!1), capability(X!5, T2!2)) <=> ((capability(X!5, T3!1) = capability(X!5, T2!2)) | greater(capability(X!5, T3!1), capability(X!5, T2!2))))), introduced(assumption)).
% 0.21/0.52 tff(304,plain,
% 0.21/0.52 (^[X: $i, Y: $i] : refl((greater_or_equal(X, Y) <=> ((X = Y) | greater(X, Y))) <=> (greater_or_equal(X, Y) <=> ((X = Y) | greater(X, Y))))),
% 0.21/0.52 inference(bind,[status(th)],[])).
% 0.21/0.52 tff(305,plain,
% 0.21/0.52 (![X: $i, Y: $i] : (greater_or_equal(X, Y) <=> ((X = Y) | greater(X, Y))) <=> ![X: $i, Y: $i] : (greater_or_equal(X, Y) <=> ((X = Y) | greater(X, Y)))),
% 0.21/0.52 inference(quant_intro,[status(thm)],[304])).
% 0.21/0.52 tff(306,plain,
% 0.21/0.52 (![X: $i, Y: $i] : (greater_or_equal(X, Y) <=> ((X = Y) | greater(X, Y))) <=> ![X: $i, Y: $i] : (greater_or_equal(X, Y) <=> ((X = Y) | greater(X, Y)))),
% 0.21/0.52 inference(rewrite,[status(thm)],[])).
% 0.21/0.52 tff(307,plain,
% 0.21/0.52 (^[X: $i, Y: $i] : rewrite((greater_or_equal(X, Y) <=> (greater(X, Y) | (X = Y))) <=> (greater_or_equal(X, Y) <=> ((X = Y) | greater(X, Y))))),
% 0.21/0.52 inference(bind,[status(th)],[])).
% 0.21/0.52 tff(308,plain,
% 0.21/0.52 (![X: $i, Y: $i] : (greater_or_equal(X, Y) <=> (greater(X, Y) | (X = Y))) <=> ![X: $i, Y: $i] : (greater_or_equal(X, Y) <=> ((X = Y) | greater(X, Y)))),
% 0.21/0.52 inference(quant_intro,[status(thm)],[307])).
% 0.21/0.52 tff(309,axiom,(![X: $i, Y: $i] : (greater_or_equal(X, Y) <=> (greater(X, Y) | (X = Y)))), file('/export/starexec/sandbox/benchmark/Axioms/MGT001+0.ax','definition_greater_or_equal')).
% 0.21/0.52 tff(310,plain,
% 0.21/0.52 (![X: $i, Y: $i] : (greater_or_equal(X, Y) <=> ((X = Y) | greater(X, Y)))),
% 0.21/0.52 inference(modus_ponens,[status(thm)],[309, 308])).
% 0.21/0.52 tff(311,plain,
% 0.21/0.52 (![X: $i, Y: $i] : (greater_or_equal(X, Y) <=> ((X = Y) | greater(X, Y)))),
% 0.21/0.52 inference(modus_ponens,[status(thm)],[310, 306])).
% 0.21/0.52 tff(312,plain,(
% 0.21/0.52 ![X: $i, Y: $i] : (greater_or_equal(X, Y) <=> ((X = Y) | greater(X, Y)))),
% 0.21/0.52 inference(skolemize,[status(sab)],[311])).
% 0.21/0.52 tff(313,plain,
% 0.21/0.52 (![X: $i, Y: $i] : (greater_or_equal(X, Y) <=> ((X = Y) | greater(X, Y)))),
% 0.21/0.52 inference(modus_ponens,[status(thm)],[312, 305])).
% 0.21/0.52 tff(314,plain,
% 0.21/0.52 ((~![X: $i, Y: $i] : (greater_or_equal(X, Y) <=> ((X = Y) | greater(X, Y)))) | (greater_or_equal(capability(X!5, T3!1), capability(X!5, T2!2)) <=> ((capability(X!5, T3!1) = capability(X!5, T2!2)) | greater(capability(X!5, T3!1), capability(X!5, T2!2))))),
% 0.21/0.52 inference(quant_inst,[status(thm)],[])).
% 0.21/0.52 tff(315,plain,
% 0.21/0.52 ($false),
% 0.21/0.52 inference(unit_resolution,[status(thm)],[314, 313, 303])).
% 0.21/0.52 tff(316,plain,(greater_or_equal(capability(X!5, T3!1), capability(X!5, T2!2)) <=> ((capability(X!5, T3!1) = capability(X!5, T2!2)) | greater(capability(X!5, T3!1), capability(X!5, T2!2)))), inference(lemma,lemma(discharge,[]))).
% 0.21/0.52 tff(317,plain,
% 0.21/0.52 ((~(greater_or_equal(capability(X!5, T3!1), capability(X!5, T2!2)) <=> ((capability(X!5, T3!1) = capability(X!5, T2!2)) | greater(capability(X!5, T3!1), capability(X!5, T2!2))))) | greater_or_equal(capability(X!5, T3!1), capability(X!5, T2!2)) | (~((capability(X!5, T3!1) = capability(X!5, T2!2)) | greater(capability(X!5, T3!1), capability(X!5, T2!2))))),
% 0.21/0.52 inference(tautology,[status(thm)],[])).
% 0.21/0.52 tff(318,plain,
% 0.21/0.52 (greater_or_equal(capability(X!5, T3!1), capability(X!5, T2!2)) | (~((capability(X!5, T3!1) = capability(X!5, T2!2)) | greater(capability(X!5, T3!1), capability(X!5, T2!2))))),
% 0.21/0.52 inference(unit_resolution,[status(thm)],[317, 316])).
% 0.21/0.52 tff(319,plain,
% 0.21/0.52 (~((capability(X!5, T3!1) = capability(X!5, T2!2)) | greater(capability(X!5, T3!1), capability(X!5, T2!2)))),
% 0.21/0.52 inference(unit_resolution,[status(thm)],[318, 302])).
% 0.21/0.52 tff(320,plain,
% 0.21/0.52 (((capability(X!5, T3!1) = capability(X!5, T2!2)) | greater(capability(X!5, T3!1), capability(X!5, T2!2))) | (~greater(capability(X!5, T3!1), capability(X!5, T2!2)))),
% 0.21/0.52 inference(tautology,[status(thm)],[])).
% 0.21/0.52 tff(321,plain,
% 0.21/0.52 (~greater(capability(X!5, T3!1), capability(X!5, T2!2))),
% 0.21/0.52 inference(unit_resolution,[status(thm)],[320, 319])).
% 0.21/0.52 tff(322,assumption,((~(smaller(capability(X!5, T3!1), capability(X!5, T2!2)) | (~smaller_or_equal(stock_of_knowledge(X!5, T3!1), stock_of_knowledge(X!5, T2!2))) | (~greater(internal_friction(X!5, T3!1), internal_friction(X!5, T2!2))))) | (~((capability(X!5, T3!1) = capability(X!5, T2!2)) | (~(stock_of_knowledge(X!5, T3!1) = stock_of_knowledge(X!5, T2!2))) | (~(internal_friction(X!5, T3!1) = internal_friction(X!5, T2!2))))) | (~(greater(capability(X!5, T3!1), capability(X!5, T2!2)) | (~smaller_or_equal(internal_friction(X!5, T3!1), internal_friction(X!5, T2!2))) | (~greater(stock_of_knowledge(X!5, T3!1), stock_of_knowledge(X!5, T2!2)))))), introduced(assumption)).
% 0.21/0.52 tff(323,plain,
% 0.21/0.52 (![X: $i, T0: $i, T: $i] : ((~organization(X)) | (~((~(greater(capability(X, T), capability(X, T0)) | (~greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))) | (~smaller_or_equal(internal_friction(X, T), internal_friction(X, T0))))) | (~(smaller(capability(X, T), capability(X, T0)) | (~smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))) | (~greater(internal_friction(X, T), internal_friction(X, T0))))) | (~((capability(X, T) = capability(X, T0)) | (~(stock_of_knowledge(X, T) = stock_of_knowledge(X, T0))) | (~(internal_friction(X, T) = internal_friction(X, T0)))))))) <=> ![X: $i, T0: $i, T: $i] : ((~organization(X)) | (~((~(greater(capability(X, T), capability(X, T0)) | (~greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))) | (~smaller_or_equal(internal_friction(X, T), internal_friction(X, T0))))) | (~(smaller(capability(X, T), capability(X, T0)) | (~smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))) | (~greater(internal_friction(X, T), internal_friction(X, T0))))) | (~((capability(X, T) = capability(X, T0)) | (~(stock_of_knowledge(X, T) = stock_of_knowledge(X, T0))) | (~(internal_friction(X, T) = internal_friction(X, T0))))))))),
% 0.21/0.52 inference(rewrite,[status(thm)],[])).
% 0.21/0.52 tff(324,plain,
% 0.21/0.52 (^[X: $i, T0: $i, T: $i] : refl(((~organization(X)) | (~((~(greater(capability(X, T), capability(X, T0)) | (~greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))) | (~smaller_or_equal(internal_friction(X, T), internal_friction(X, T0))))) | (~(smaller(capability(X, T), capability(X, T0)) | (~smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))) | (~greater(internal_friction(X, T), internal_friction(X, T0))))) | (~((capability(X, T) = capability(X, T0)) | (~(stock_of_knowledge(X, T) = stock_of_knowledge(X, T0))) | (~(internal_friction(X, T) = internal_friction(X, T0)))))))) <=> ((~organization(X)) | (~((~(greater(capability(X, T), capability(X, T0)) | (~greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))) | (~smaller_or_equal(internal_friction(X, T), internal_friction(X, T0))))) | (~(smaller(capability(X, T), capability(X, T0)) | (~smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))) | (~greater(internal_friction(X, T), internal_friction(X, T0))))) | (~((capability(X, T) = capability(X, T0)) | (~(stock_of_knowledge(X, T) = stock_of_knowledge(X, T0))) | (~(internal_friction(X, T) = internal_friction(X, T0)))))))))),
% 0.21/0.52 inference(bind,[status(th)],[])).
% 0.21/0.52 tff(325,plain,
% 0.21/0.52 (![X: $i, T0: $i, T: $i] : ((~organization(X)) | (~((~(greater(capability(X, T), capability(X, T0)) | (~greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))) | (~smaller_or_equal(internal_friction(X, T), internal_friction(X, T0))))) | (~(smaller(capability(X, T), capability(X, T0)) | (~smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))) | (~greater(internal_friction(X, T), internal_friction(X, T0))))) | (~((capability(X, T) = capability(X, T0)) | (~(stock_of_knowledge(X, T) = stock_of_knowledge(X, T0))) | (~(internal_friction(X, T) = internal_friction(X, T0)))))))) <=> ![X: $i, T0: $i, T: $i] : ((~organization(X)) | (~((~(greater(capability(X, T), capability(X, T0)) | (~greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))) | (~smaller_or_equal(internal_friction(X, T), internal_friction(X, T0))))) | (~(smaller(capability(X, T), capability(X, T0)) | (~smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))) | (~greater(internal_friction(X, T), internal_friction(X, T0))))) | (~((capability(X, T) = capability(X, T0)) | (~(stock_of_knowledge(X, T) = stock_of_knowledge(X, T0))) | (~(internal_friction(X, T) = internal_friction(X, T0))))))))),
% 0.21/0.52 inference(quant_intro,[status(thm)],[324])).
% 0.21/0.52 tff(326,plain,
% 0.21/0.52 (^[X: $i, T0: $i, T: $i] : rewrite(((~organization(X)) | (((~(greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & smaller_or_equal(internal_friction(X, T), internal_friction(X, T0)))) | greater(capability(X, T), capability(X, T0))) & ((~(smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & greater(internal_friction(X, T), internal_friction(X, T0)))) | smaller(capability(X, T), capability(X, T0))) & ((~((stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)) & (internal_friction(X, T) = internal_friction(X, T0)))) | (capability(X, T) = capability(X, T0))))) <=> ((~organization(X)) | (~((~(greater(capability(X, T), capability(X, T0)) | (~greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))) | (~smaller_or_equal(internal_friction(X, T), internal_friction(X, T0))))) | (~(smaller(capability(X, T), capability(X, T0)) | (~smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))) | (~greater(internal_friction(X, T), internal_friction(X, T0))))) | (~((capability(X, T) = capability(X, T0)) | (~(stock_of_knowledge(X, T) = stock_of_knowledge(X, T0))) | (~(internal_friction(X, T) = internal_friction(X, T0)))))))))),
% 0.21/0.52 inference(bind,[status(th)],[])).
% 0.21/0.52 tff(327,plain,
% 0.21/0.52 (![X: $i, T0: $i, T: $i] : ((~organization(X)) | (((~(greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & smaller_or_equal(internal_friction(X, T), internal_friction(X, T0)))) | greater(capability(X, T), capability(X, T0))) & ((~(smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & greater(internal_friction(X, T), internal_friction(X, T0)))) | smaller(capability(X, T), capability(X, T0))) & ((~((stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)) & (internal_friction(X, T) = internal_friction(X, T0)))) | (capability(X, T) = capability(X, T0))))) <=> ![X: $i, T0: $i, T: $i] : ((~organization(X)) | (~((~(greater(capability(X, T), capability(X, T0)) | (~greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))) | (~smaller_or_equal(internal_friction(X, T), internal_friction(X, T0))))) | (~(smaller(capability(X, T), capability(X, T0)) | (~smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))) | (~greater(internal_friction(X, T), internal_friction(X, T0))))) | (~((capability(X, T) = capability(X, T0)) | (~(stock_of_knowledge(X, T) = stock_of_knowledge(X, T0))) | (~(internal_friction(X, T) = internal_friction(X, T0))))))))),
% 0.21/0.52 inference(quant_intro,[status(thm)],[326])).
% 0.21/0.52 tff(328,plain,
% 0.21/0.52 (![X: $i, T0: $i, T: $i] : ((~organization(X)) | (((~(greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & smaller_or_equal(internal_friction(X, T), internal_friction(X, T0)))) | greater(capability(X, T), capability(X, T0))) & ((~(smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & greater(internal_friction(X, T), internal_friction(X, T0)))) | smaller(capability(X, T), capability(X, T0))) & ((~((stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)) & (internal_friction(X, T) = internal_friction(X, T0)))) | (capability(X, T) = capability(X, T0))))) <=> ![X: $i, T0: $i, T: $i] : ((~organization(X)) | (((~(greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & smaller_or_equal(internal_friction(X, T), internal_friction(X, T0)))) | greater(capability(X, T), capability(X, T0))) & ((~(smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & greater(internal_friction(X, T), internal_friction(X, T0)))) | smaller(capability(X, T), capability(X, T0))) & ((~((stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)) & (internal_friction(X, T) = internal_friction(X, T0)))) | (capability(X, T) = capability(X, T0)))))),
% 0.21/0.52 inference(rewrite,[status(thm)],[])).
% 0.21/0.52 tff(329,plain,
% 0.21/0.52 (^[X: $i, T0: $i, T: $i] : trans(monotonicity(trans(monotonicity(rewrite((((greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & smaller_or_equal(internal_friction(X, T), internal_friction(X, T0))) => greater(capability(X, T), capability(X, T0))) & ((smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & greater(internal_friction(X, T), internal_friction(X, T0))) => smaller(capability(X, T), capability(X, T0)))) <=> (((~(greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & smaller_or_equal(internal_friction(X, T), internal_friction(X, T0)))) | greater(capability(X, T), capability(X, T0))) & ((~(smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & greater(internal_friction(X, T), internal_friction(X, T0)))) | smaller(capability(X, T), capability(X, T0))))), rewrite((((stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)) & (internal_friction(X, T) = internal_friction(X, T0))) => (capability(X, T) = capability(X, T0))) <=> ((~((stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)) & (internal_friction(X, T) = internal_friction(X, T0)))) | (capability(X, T) = capability(X, T0)))), (((((greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & smaller_or_equal(internal_friction(X, T), internal_friction(X, T0))) => greater(capability(X, T), capability(X, T0))) & ((smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & greater(internal_friction(X, T), internal_friction(X, T0))) => smaller(capability(X, T), capability(X, T0)))) & (((stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)) & (internal_friction(X, T) = internal_friction(X, T0))) => (capability(X, T) = capability(X, T0)))) <=> ((((~(greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & smaller_or_equal(internal_friction(X, T), internal_friction(X, T0)))) | greater(capability(X, T), capability(X, T0))) & ((~(smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & greater(internal_friction(X, T), internal_friction(X, T0)))) | smaller(capability(X, T), capability(X, T0)))) & ((~((stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)) & (internal_friction(X, T) = internal_friction(X, T0)))) | (capability(X, T) = capability(X, T0)))))), rewrite(((((~(greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & smaller_or_equal(internal_friction(X, T), internal_friction(X, T0)))) | greater(capability(X, T), capability(X, T0))) & ((~(smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & greater(internal_friction(X, T), internal_friction(X, T0)))) | smaller(capability(X, T), capability(X, T0)))) & ((~((stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)) & (internal_friction(X, T) = internal_friction(X, T0)))) | (capability(X, T) = capability(X, T0)))) <=> (((~(greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & smaller_or_equal(internal_friction(X, T), internal_friction(X, T0)))) | greater(capability(X, T), capability(X, T0))) & ((~(smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & greater(internal_friction(X, T), internal_friction(X, T0)))) | smaller(capability(X, T), capability(X, T0))) & ((~((stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)) & (internal_friction(X, T) = internal_friction(X, T0)))) | (capability(X, T) = capability(X, T0))))), (((((greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & smaller_or_equal(internal_friction(X, T), internal_friction(X, T0))) => greater(capability(X, T), capability(X, T0))) & ((smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & greater(internal_friction(X, T), internal_friction(X, T0))) => smaller(capability(X, T), capability(X, T0)))) & (((stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)) & (internal_friction(X, T) = internal_friction(X, T0))) => (capability(X, T) = capability(X, T0)))) <=> (((~(greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & smaller_or_equal(internal_friction(X, T), internal_friction(X, T0)))) | greater(capability(X, T), capability(X, T0))) & ((~(smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & greater(internal_friction(X, T), internal_friction(X, T0)))) | smaller(capability(X, T), capability(X, T0))) & ((~((stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)) & (internal_friction(X, T) = internal_friction(X, T0)))) | (capability(X, T) = capability(X, T0)))))), ((organization(X) => ((((greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & smaller_or_equal(internal_friction(X, T), internal_friction(X, T0))) => greater(capability(X, T), capability(X, T0))) & ((smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & greater(internal_friction(X, T), internal_friction(X, T0))) => smaller(capability(X, T), capability(X, T0)))) & (((stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)) & (internal_friction(X, T) = internal_friction(X, T0))) => (capability(X, T) = capability(X, T0))))) <=> (organization(X) => (((~(greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & smaller_or_equal(internal_friction(X, T), internal_friction(X, T0)))) | greater(capability(X, T), capability(X, T0))) & ((~(smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & greater(internal_friction(X, T), internal_friction(X, T0)))) | smaller(capability(X, T), capability(X, T0))) & ((~((stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)) & (internal_friction(X, T) = internal_friction(X, T0)))) | (capability(X, T) = capability(X, T0))))))), rewrite((organization(X) => (((~(greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & smaller_or_equal(internal_friction(X, T), internal_friction(X, T0)))) | greater(capability(X, T), capability(X, T0))) & ((~(smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & greater(internal_friction(X, T), internal_friction(X, T0)))) | smaller(capability(X, T), capability(X, T0))) & ((~((stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)) & (internal_friction(X, T) = internal_friction(X, T0)))) | (capability(X, T) = capability(X, T0))))) <=> ((~organization(X)) | (((~(greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & smaller_or_equal(internal_friction(X, T), internal_friction(X, T0)))) | greater(capability(X, T), capability(X, T0))) & ((~(smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & greater(internal_friction(X, T), internal_friction(X, T0)))) | smaller(capability(X, T), capability(X, T0))) & ((~((stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)) & (internal_friction(X, T) = internal_friction(X, T0)))) | (capability(X, T) = capability(X, T0)))))), ((organization(X) => ((((greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & smaller_or_equal(internal_friction(X, T), internal_friction(X, T0))) => greater(capability(X, T), capability(X, T0))) & ((smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & greater(internal_friction(X, T), internal_friction(X, T0))) => smaller(capability(X, T), capability(X, T0)))) & (((stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)) & (internal_friction(X, T) = internal_friction(X, T0))) => (capability(X, T) = capability(X, T0))))) <=> ((~organization(X)) | (((~(greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & smaller_or_equal(internal_friction(X, T), internal_friction(X, T0)))) | greater(capability(X, T), capability(X, T0))) & ((~(smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & greater(internal_friction(X, T), internal_friction(X, T0)))) | smaller(capability(X, T), capability(X, T0))) & ((~((stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)) & (internal_friction(X, T) = internal_friction(X, T0)))) | (capability(X, T) = capability(X, T0)))))))),
% 0.21/0.52 inference(bind,[status(th)],[])).
% 0.21/0.52 tff(330,plain,
% 0.21/0.52 (![X: $i, T0: $i, T: $i] : (organization(X) => ((((greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & smaller_or_equal(internal_friction(X, T), internal_friction(X, T0))) => greater(capability(X, T), capability(X, T0))) & ((smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & greater(internal_friction(X, T), internal_friction(X, T0))) => smaller(capability(X, T), capability(X, T0)))) & (((stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)) & (internal_friction(X, T) = internal_friction(X, T0))) => (capability(X, T) = capability(X, T0))))) <=> ![X: $i, T0: $i, T: $i] : ((~organization(X)) | (((~(greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & smaller_or_equal(internal_friction(X, T), internal_friction(X, T0)))) | greater(capability(X, T), capability(X, T0))) & ((~(smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & greater(internal_friction(X, T), internal_friction(X, T0)))) | smaller(capability(X, T), capability(X, T0))) & ((~((stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)) & (internal_friction(X, T) = internal_friction(X, T0)))) | (capability(X, T) = capability(X, T0)))))),
% 0.21/0.52 inference(quant_intro,[status(thm)],[329])).
% 0.21/0.52 tff(331,axiom,(![X: $i, T0: $i, T: $i] : (organization(X) => ((((greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & smaller_or_equal(internal_friction(X, T), internal_friction(X, T0))) => greater(capability(X, T), capability(X, T0))) & ((smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & greater(internal_friction(X, T), internal_friction(X, T0))) => smaller(capability(X, T), capability(X, T0)))) & (((stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)) & (internal_friction(X, T) = internal_friction(X, T0))) => (capability(X, T) = capability(X, T0)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','assumption_5')).
% 0.21/0.52 tff(332,plain,
% 0.21/0.52 (![X: $i, T0: $i, T: $i] : ((~organization(X)) | (((~(greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & smaller_or_equal(internal_friction(X, T), internal_friction(X, T0)))) | greater(capability(X, T), capability(X, T0))) & ((~(smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & greater(internal_friction(X, T), internal_friction(X, T0)))) | smaller(capability(X, T), capability(X, T0))) & ((~((stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)) & (internal_friction(X, T) = internal_friction(X, T0)))) | (capability(X, T) = capability(X, T0)))))),
% 0.21/0.52 inference(modus_ponens,[status(thm)],[331, 330])).
% 0.21/0.52 tff(333,plain,
% 0.21/0.52 (![X: $i, T0: $i, T: $i] : ((~organization(X)) | (((~(greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & smaller_or_equal(internal_friction(X, T), internal_friction(X, T0)))) | greater(capability(X, T), capability(X, T0))) & ((~(smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & greater(internal_friction(X, T), internal_friction(X, T0)))) | smaller(capability(X, T), capability(X, T0))) & ((~((stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)) & (internal_friction(X, T) = internal_friction(X, T0)))) | (capability(X, T) = capability(X, T0)))))),
% 0.21/0.52 inference(modus_ponens,[status(thm)],[332, 328])).
% 0.21/0.52 tff(334,plain,(
% 0.21/0.52 ![X: $i, T0: $i, T: $i] : ((~organization(X)) | (((~(greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & smaller_or_equal(internal_friction(X, T), internal_friction(X, T0)))) | greater(capability(X, T), capability(X, T0))) & ((~(smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & greater(internal_friction(X, T), internal_friction(X, T0)))) | smaller(capability(X, T), capability(X, T0))) & ((~((stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)) & (internal_friction(X, T) = internal_friction(X, T0)))) | (capability(X, T) = capability(X, T0)))))),
% 0.21/0.52 inference(skolemize,[status(sab)],[333])).
% 0.21/0.52 tff(335,plain,
% 0.21/0.52 (![X: $i, T0: $i, T: $i] : ((~organization(X)) | (~((~(greater(capability(X, T), capability(X, T0)) | (~greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))) | (~smaller_or_equal(internal_friction(X, T), internal_friction(X, T0))))) | (~(smaller(capability(X, T), capability(X, T0)) | (~smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))) | (~greater(internal_friction(X, T), internal_friction(X, T0))))) | (~((capability(X, T) = capability(X, T0)) | (~(stock_of_knowledge(X, T) = stock_of_knowledge(X, T0))) | (~(internal_friction(X, T) = internal_friction(X, T0))))))))),
% 0.21/0.52 inference(modus_ponens,[status(thm)],[334, 327])).
% 0.21/0.52 tff(336,plain,
% 0.21/0.52 (![X: $i, T0: $i, T: $i] : ((~organization(X)) | (~((~(greater(capability(X, T), capability(X, T0)) | (~greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))) | (~smaller_or_equal(internal_friction(X, T), internal_friction(X, T0))))) | (~(smaller(capability(X, T), capability(X, T0)) | (~smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))) | (~greater(internal_friction(X, T), internal_friction(X, T0))))) | (~((capability(X, T) = capability(X, T0)) | (~(stock_of_knowledge(X, T) = stock_of_knowledge(X, T0))) | (~(internal_friction(X, T) = internal_friction(X, T0))))))))),
% 0.21/0.52 inference(modus_ponens,[status(thm)],[335, 325])).
% 0.21/0.52 tff(337,plain,
% 0.21/0.52 (![X: $i, T0: $i, T: $i] : ((~organization(X)) | (~((~(greater(capability(X, T), capability(X, T0)) | (~greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))) | (~smaller_or_equal(internal_friction(X, T), internal_friction(X, T0))))) | (~(smaller(capability(X, T), capability(X, T0)) | (~smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))) | (~greater(internal_friction(X, T), internal_friction(X, T0))))) | (~((capability(X, T) = capability(X, T0)) | (~(stock_of_knowledge(X, T) = stock_of_knowledge(X, T0))) | (~(internal_friction(X, T) = internal_friction(X, T0))))))))),
% 0.21/0.53 inference(modus_ponens,[status(thm)],[336, 323])).
% 0.21/0.53 tff(338,plain,
% 0.21/0.53 (((~![X: $i, T0: $i, T: $i] : ((~organization(X)) | (~((~(greater(capability(X, T), capability(X, T0)) | (~greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))) | (~smaller_or_equal(internal_friction(X, T), internal_friction(X, T0))))) | (~(smaller(capability(X, T), capability(X, T0)) | (~smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))) | (~greater(internal_friction(X, T), internal_friction(X, T0))))) | (~((capability(X, T) = capability(X, T0)) | (~(stock_of_knowledge(X, T) = stock_of_knowledge(X, T0))) | (~(internal_friction(X, T) = internal_friction(X, T0))))))))) | ((~organization(X!5)) | (~((~(smaller(capability(X!5, T3!1), capability(X!5, T2!2)) | (~smaller_or_equal(stock_of_knowledge(X!5, T3!1), stock_of_knowledge(X!5, T2!2))) | (~greater(internal_friction(X!5, T3!1), internal_friction(X!5, T2!2))))) | (~((capability(X!5, T3!1) = capability(X!5, T2!2)) | (~(stock_of_knowledge(X!5, T3!1) = stock_of_knowledge(X!5, T2!2))) | (~(internal_friction(X!5, T3!1) = internal_friction(X!5, T2!2))))) | (~(greater(capability(X!5, T3!1), capability(X!5, T2!2)) | (~smaller_or_equal(internal_friction(X!5, T3!1), internal_friction(X!5, T2!2))) | (~greater(stock_of_knowledge(X!5, T3!1), stock_of_knowledge(X!5, T2!2))))))))) <=> ((~![X: $i, T0: $i, T: $i] : ((~organization(X)) | (~((~(greater(capability(X, T), capability(X, T0)) | (~greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))) | (~smaller_or_equal(internal_friction(X, T), internal_friction(X, T0))))) | (~(smaller(capability(X, T), capability(X, T0)) | (~smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))) | (~greater(internal_friction(X, T), internal_friction(X, T0))))) | (~((capability(X, T) = capability(X, T0)) | (~(stock_of_knowledge(X, T) = stock_of_knowledge(X, T0))) | (~(internal_friction(X, T) = internal_friction(X, T0))))))))) | (~organization(X!5)) | (~((~(smaller(capability(X!5, T3!1), capability(X!5, T2!2)) | (~smaller_or_equal(stock_of_knowledge(X!5, T3!1), stock_of_knowledge(X!5, T2!2))) | (~greater(internal_friction(X!5, T3!1), internal_friction(X!5, T2!2))))) | (~((capability(X!5, T3!1) = capability(X!5, T2!2)) | (~(stock_of_knowledge(X!5, T3!1) = stock_of_knowledge(X!5, T2!2))) | (~(internal_friction(X!5, T3!1) = internal_friction(X!5, T2!2))))) | (~(greater(capability(X!5, T3!1), capability(X!5, T2!2)) | (~smaller_or_equal(internal_friction(X!5, T3!1), internal_friction(X!5, T2!2))) | (~greater(stock_of_knowledge(X!5, T3!1), stock_of_knowledge(X!5, T2!2))))))))),
% 0.21/0.53 inference(rewrite,[status(thm)],[])).
% 0.21/0.53 tff(339,plain,
% 0.21/0.53 (((~organization(X!5)) | (~((~(greater(capability(X!5, T3!1), capability(X!5, T2!2)) | (~greater(stock_of_knowledge(X!5, T3!1), stock_of_knowledge(X!5, T2!2))) | (~smaller_or_equal(internal_friction(X!5, T3!1), internal_friction(X!5, T2!2))))) | (~(smaller(capability(X!5, T3!1), capability(X!5, T2!2)) | (~smaller_or_equal(stock_of_knowledge(X!5, T3!1), stock_of_knowledge(X!5, T2!2))) | (~greater(internal_friction(X!5, T3!1), internal_friction(X!5, T2!2))))) | (~((capability(X!5, T3!1) = capability(X!5, T2!2)) | (~(stock_of_knowledge(X!5, T3!1) = stock_of_knowledge(X!5, T2!2))) | (~(internal_friction(X!5, T3!1) = internal_friction(X!5, T2!2)))))))) <=> ((~organization(X!5)) | (~((~(smaller(capability(X!5, T3!1), capability(X!5, T2!2)) | (~smaller_or_equal(stock_of_knowledge(X!5, T3!1), stock_of_knowledge(X!5, T2!2))) | (~greater(internal_friction(X!5, T3!1), internal_friction(X!5, T2!2))))) | (~((capability(X!5, T3!1) = capability(X!5, T2!2)) | (~(stock_of_knowledge(X!5, T3!1) = stock_of_knowledge(X!5, T2!2))) | (~(internal_friction(X!5, T3!1) = internal_friction(X!5, T2!2))))) | (~(greater(capability(X!5, T3!1), capability(X!5, T2!2)) | (~smaller_or_equal(internal_friction(X!5, T3!1), internal_friction(X!5, T2!2))) | (~greater(stock_of_knowledge(X!5, T3!1), stock_of_knowledge(X!5, T2!2))))))))),
% 0.21/0.53 inference(rewrite,[status(thm)],[])).
% 0.21/0.53 tff(340,plain,
% 0.21/0.53 (((~![X: $i, T0: $i, T: $i] : ((~organization(X)) | (~((~(greater(capability(X, T), capability(X, T0)) | (~greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))) | (~smaller_or_equal(internal_friction(X, T), internal_friction(X, T0))))) | (~(smaller(capability(X, T), capability(X, T0)) | (~smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))) | (~greater(internal_friction(X, T), internal_friction(X, T0))))) | (~((capability(X, T) = capability(X, T0)) | (~(stock_of_knowledge(X, T) = stock_of_knowledge(X, T0))) | (~(internal_friction(X, T) = internal_friction(X, T0))))))))) | ((~organization(X!5)) | (~((~(greater(capability(X!5, T3!1), capability(X!5, T2!2)) | (~greater(stock_of_knowledge(X!5, T3!1), stock_of_knowledge(X!5, T2!2))) | (~smaller_or_equal(internal_friction(X!5, T3!1), internal_friction(X!5, T2!2))))) | (~(smaller(capability(X!5, T3!1), capability(X!5, T2!2)) | (~smaller_or_equal(stock_of_knowledge(X!5, T3!1), stock_of_knowledge(X!5, T2!2))) | (~greater(internal_friction(X!5, T3!1), internal_friction(X!5, T2!2))))) | (~((capability(X!5, T3!1) = capability(X!5, T2!2)) | (~(stock_of_knowledge(X!5, T3!1) = stock_of_knowledge(X!5, T2!2))) | (~(internal_friction(X!5, T3!1) = internal_friction(X!5, T2!2))))))))) <=> ((~![X: $i, T0: $i, T: $i] : ((~organization(X)) | (~((~(greater(capability(X, T), capability(X, T0)) | (~greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))) | (~smaller_or_equal(internal_friction(X, T), internal_friction(X, T0))))) | (~(smaller(capability(X, T), capability(X, T0)) | (~smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))) | (~greater(internal_friction(X, T), internal_friction(X, T0))))) | (~((capability(X, T) = capability(X, T0)) | (~(stock_of_knowledge(X, T) = stock_of_knowledge(X, T0))) | (~(internal_friction(X, T) = internal_friction(X, T0))))))))) | ((~organization(X!5)) | (~((~(smaller(capability(X!5, T3!1), capability(X!5, T2!2)) | (~smaller_or_equal(stock_of_knowledge(X!5, T3!1), stock_of_knowledge(X!5, T2!2))) | (~greater(internal_friction(X!5, T3!1), internal_friction(X!5, T2!2))))) | (~((capability(X!5, T3!1) = capability(X!5, T2!2)) | (~(stock_of_knowledge(X!5, T3!1) = stock_of_knowledge(X!5, T2!2))) | (~(internal_friction(X!5, T3!1) = internal_friction(X!5, T2!2))))) | (~(greater(capability(X!5, T3!1), capability(X!5, T2!2)) | (~smaller_or_equal(internal_friction(X!5, T3!1), internal_friction(X!5, T2!2))) | (~greater(stock_of_knowledge(X!5, T3!1), stock_of_knowledge(X!5, T2!2)))))))))),
% 0.21/0.53 inference(monotonicity,[status(thm)],[339])).
% 0.21/0.53 tff(341,plain,
% 0.21/0.53 (((~![X: $i, T0: $i, T: $i] : ((~organization(X)) | (~((~(greater(capability(X, T), capability(X, T0)) | (~greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))) | (~smaller_or_equal(internal_friction(X, T), internal_friction(X, T0))))) | (~(smaller(capability(X, T), capability(X, T0)) | (~smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))) | (~greater(internal_friction(X, T), internal_friction(X, T0))))) | (~((capability(X, T) = capability(X, T0)) | (~(stock_of_knowledge(X, T) = stock_of_knowledge(X, T0))) | (~(internal_friction(X, T) = internal_friction(X, T0))))))))) | ((~organization(X!5)) | (~((~(greater(capability(X!5, T3!1), capability(X!5, T2!2)) | (~greater(stock_of_knowledge(X!5, T3!1), stock_of_knowledge(X!5, T2!2))) | (~smaller_or_equal(internal_friction(X!5, T3!1), internal_friction(X!5, T2!2))))) | (~(smaller(capability(X!5, T3!1), capability(X!5, T2!2)) | (~smaller_or_equal(stock_of_knowledge(X!5, T3!1), stock_of_knowledge(X!5, T2!2))) | (~greater(internal_friction(X!5, T3!1), internal_friction(X!5, T2!2))))) | (~((capability(X!5, T3!1) = capability(X!5, T2!2)) | (~(stock_of_knowledge(X!5, T3!1) = stock_of_knowledge(X!5, T2!2))) | (~(internal_friction(X!5, T3!1) = internal_friction(X!5, T2!2))))))))) <=> ((~![X: $i, T0: $i, T: $i] : ((~organization(X)) | (~((~(greater(capability(X, T), capability(X, T0)) | (~greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))) | (~smaller_or_equal(internal_friction(X, T), internal_friction(X, T0))))) | (~(smaller(capability(X, T), capability(X, T0)) | (~smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))) | (~greater(internal_friction(X, T), internal_friction(X, T0))))) | (~((capability(X, T) = capability(X, T0)) | (~(stock_of_knowledge(X, T) = stock_of_knowledge(X, T0))) | (~(internal_friction(X, T) = internal_friction(X, T0))))))))) | (~organization(X!5)) | (~((~(smaller(capability(X!5, T3!1), capability(X!5, T2!2)) | (~smaller_or_equal(stock_of_knowledge(X!5, T3!1), stock_of_knowledge(X!5, T2!2))) | (~greater(internal_friction(X!5, T3!1), internal_friction(X!5, T2!2))))) | (~((capability(X!5, T3!1) = capability(X!5, T2!2)) | (~(stock_of_knowledge(X!5, T3!1) = stock_of_knowledge(X!5, T2!2))) | (~(internal_friction(X!5, T3!1) = internal_friction(X!5, T2!2))))) | (~(greater(capability(X!5, T3!1), capability(X!5, T2!2)) | (~smaller_or_equal(internal_friction(X!5, T3!1), internal_friction(X!5, T2!2))) | (~greater(stock_of_knowledge(X!5, T3!1), stock_of_knowledge(X!5, T2!2))))))))),
% 0.21/0.53 inference(transitivity,[status(thm)],[340, 338])).
% 0.21/0.53 tff(342,plain,
% 0.21/0.53 ((~![X: $i, T0: $i, T: $i] : ((~organization(X)) | (~((~(greater(capability(X, T), capability(X, T0)) | (~greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))) | (~smaller_or_equal(internal_friction(X, T), internal_friction(X, T0))))) | (~(smaller(capability(X, T), capability(X, T0)) | (~smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))) | (~greater(internal_friction(X, T), internal_friction(X, T0))))) | (~((capability(X, T) = capability(X, T0)) | (~(stock_of_knowledge(X, T) = stock_of_knowledge(X, T0))) | (~(internal_friction(X, T) = internal_friction(X, T0))))))))) | ((~organization(X!5)) | (~((~(greater(capability(X!5, T3!1), capability(X!5, T2!2)) | (~greater(stock_of_knowledge(X!5, T3!1), stock_of_knowledge(X!5, T2!2))) | (~smaller_or_equal(internal_friction(X!5, T3!1), internal_friction(X!5, T2!2))))) | (~(smaller(capability(X!5, T3!1), capability(X!5, T2!2)) | (~smaller_or_equal(stock_of_knowledge(X!5, T3!1), stock_of_knowledge(X!5, T2!2))) | (~greater(internal_friction(X!5, T3!1), internal_friction(X!5, T2!2))))) | (~((capability(X!5, T3!1) = capability(X!5, T2!2)) | (~(stock_of_knowledge(X!5, T3!1) = stock_of_knowledge(X!5, T2!2))) | (~(internal_friction(X!5, T3!1) = internal_friction(X!5, T2!2))))))))),
% 0.21/0.53 inference(quant_inst,[status(thm)],[])).
% 0.21/0.53 tff(343,plain,
% 0.21/0.53 ((~![X: $i, T0: $i, T: $i] : ((~organization(X)) | (~((~(greater(capability(X, T), capability(X, T0)) | (~greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))) | (~smaller_or_equal(internal_friction(X, T), internal_friction(X, T0))))) | (~(smaller(capability(X, T), capability(X, T0)) | (~smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))) | (~greater(internal_friction(X, T), internal_friction(X, T0))))) | (~((capability(X, T) = capability(X, T0)) | (~(stock_of_knowledge(X, T) = stock_of_knowledge(X, T0))) | (~(internal_friction(X, T) = internal_friction(X, T0))))))))) | (~organization(X!5)) | (~((~(smaller(capability(X!5, T3!1), capability(X!5, T2!2)) | (~smaller_or_equal(stock_of_knowledge(X!5, T3!1), stock_of_knowledge(X!5, T2!2))) | (~greater(internal_friction(X!5, T3!1), internal_friction(X!5, T2!2))))) | (~((capability(X!5, T3!1) = capability(X!5, T2!2)) | (~(stock_of_knowledge(X!5, T3!1) = stock_of_knowledge(X!5, T2!2))) | (~(internal_friction(X!5, T3!1) = internal_friction(X!5, T2!2))))) | (~(greater(capability(X!5, T3!1), capability(X!5, T2!2)) | (~smaller_or_equal(internal_friction(X!5, T3!1), internal_friction(X!5, T2!2))) | (~greater(stock_of_knowledge(X!5, T3!1), stock_of_knowledge(X!5, T2!2)))))))),
% 0.21/0.53 inference(modus_ponens,[status(thm)],[342, 341])).
% 0.21/0.53 tff(344,plain,
% 0.21/0.53 ($false),
% 0.21/0.53 inference(unit_resolution,[status(thm)],[343, 337, 12, 322])).
% 0.21/0.53 tff(345,plain,(~((~(smaller(capability(X!5, T3!1), capability(X!5, T2!2)) | (~smaller_or_equal(stock_of_knowledge(X!5, T3!1), stock_of_knowledge(X!5, T2!2))) | (~greater(internal_friction(X!5, T3!1), internal_friction(X!5, T2!2))))) | (~((capability(X!5, T3!1) = capability(X!5, T2!2)) | (~(stock_of_knowledge(X!5, T3!1) = stock_of_knowledge(X!5, T2!2))) | (~(internal_friction(X!5, T3!1) = internal_friction(X!5, T2!2))))) | (~(greater(capability(X!5, T3!1), capability(X!5, T2!2)) | (~smaller_or_equal(internal_friction(X!5, T3!1), internal_friction(X!5, T2!2))) | (~greater(stock_of_knowledge(X!5, T3!1), stock_of_knowledge(X!5, T2!2))))))), inference(lemma,lemma(discharge,[]))).
% 0.21/0.53 tff(346,plain,
% 0.21/0.53 (((~(smaller(capability(X!5, T3!1), capability(X!5, T2!2)) | (~smaller_or_equal(stock_of_knowledge(X!5, T3!1), stock_of_knowledge(X!5, T2!2))) | (~greater(internal_friction(X!5, T3!1), internal_friction(X!5, T2!2))))) | (~((capability(X!5, T3!1) = capability(X!5, T2!2)) | (~(stock_of_knowledge(X!5, T3!1) = stock_of_knowledge(X!5, T2!2))) | (~(internal_friction(X!5, T3!1) = internal_friction(X!5, T2!2))))) | (~(greater(capability(X!5, T3!1), capability(X!5, T2!2)) | (~smaller_or_equal(internal_friction(X!5, T3!1), internal_friction(X!5, T2!2))) | (~greater(stock_of_knowledge(X!5, T3!1), stock_of_knowledge(X!5, T2!2)))))) | (greater(capability(X!5, T3!1), capability(X!5, T2!2)) | (~smaller_or_equal(internal_friction(X!5, T3!1), internal_friction(X!5, T2!2))) | (~greater(stock_of_knowledge(X!5, T3!1), stock_of_knowledge(X!5, T2!2))))),
% 0.21/0.53 inference(tautology,[status(thm)],[])).
% 0.21/0.53 tff(347,plain,
% 0.21/0.53 (greater(capability(X!5, T3!1), capability(X!5, T2!2)) | (~smaller_or_equal(internal_friction(X!5, T3!1), internal_friction(X!5, T2!2))) | (~greater(stock_of_knowledge(X!5, T3!1), stock_of_knowledge(X!5, T2!2)))),
% 0.21/0.53 inference(unit_resolution,[status(thm)],[346, 345])).
% 0.21/0.53 tff(348,plain,
% 0.21/0.53 (^[X: $i, T0: $i, T: $i] : refl(((~organization(X)) | (internal_friction(X, T) = internal_friction(X, T0))) <=> ((~organization(X)) | (internal_friction(X, T) = internal_friction(X, T0))))),
% 0.21/0.53 inference(bind,[status(th)],[])).
% 0.21/0.53 tff(349,plain,
% 0.21/0.53 (![X: $i, T0: $i, T: $i] : ((~organization(X)) | (internal_friction(X, T) = internal_friction(X, T0))) <=> ![X: $i, T0: $i, T: $i] : ((~organization(X)) | (internal_friction(X, T) = internal_friction(X, T0)))),
% 0.21/0.53 inference(quant_intro,[status(thm)],[348])).
% 0.21/0.53 tff(350,plain,
% 0.21/0.53 (![X: $i, T0: $i, T: $i] : ((~organization(X)) | (internal_friction(X, T) = internal_friction(X, T0))) <=> ![X: $i, T0: $i, T: $i] : ((~organization(X)) | (internal_friction(X, T) = internal_friction(X, T0)))),
% 0.21/0.53 inference(rewrite,[status(thm)],[])).
% 0.21/0.53 tff(351,plain,
% 0.21/0.53 (^[X: $i, T0: $i, T: $i] : rewrite((organization(X) => (internal_friction(X, T) = internal_friction(X, T0))) <=> ((~organization(X)) | (internal_friction(X, T) = internal_friction(X, T0))))),
% 0.21/0.53 inference(bind,[status(th)],[])).
% 0.21/0.53 tff(352,plain,
% 0.21/0.53 (![X: $i, T0: $i, T: $i] : (organization(X) => (internal_friction(X, T) = internal_friction(X, T0))) <=> ![X: $i, T0: $i, T: $i] : ((~organization(X)) | (internal_friction(X, T) = internal_friction(X, T0)))),
% 0.21/0.53 inference(quant_intro,[status(thm)],[351])).
% 0.21/0.53 tff(353,axiom,(![X: $i, T0: $i, T: $i] : (organization(X) => (internal_friction(X, T) = internal_friction(X, T0)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','assumption_9')).
% 0.21/0.53 tff(354,plain,
% 0.21/0.53 (![X: $i, T0: $i, T: $i] : ((~organization(X)) | (internal_friction(X, T) = internal_friction(X, T0)))),
% 0.21/0.53 inference(modus_ponens,[status(thm)],[353, 352])).
% 0.21/0.53 tff(355,plain,
% 0.21/0.53 (![X: $i, T0: $i, T: $i] : ((~organization(X)) | (internal_friction(X, T) = internal_friction(X, T0)))),
% 0.21/0.53 inference(modus_ponens,[status(thm)],[354, 350])).
% 0.21/0.53 tff(356,plain,(
% 0.21/0.53 ![X: $i, T0: $i, T: $i] : ((~organization(X)) | (internal_friction(X, T) = internal_friction(X, T0)))),
% 0.21/0.53 inference(skolemize,[status(sab)],[355])).
% 0.21/0.53 tff(357,plain,
% 0.21/0.53 (![X: $i, T0: $i, T: $i] : ((~organization(X)) | (internal_friction(X, T) = internal_friction(X, T0)))),
% 0.21/0.54 inference(modus_ponens,[status(thm)],[356, 349])).
% 0.21/0.54 tff(358,plain,
% 0.21/0.54 (((~![X: $i, T0: $i, T: $i] : ((~organization(X)) | (internal_friction(X, T) = internal_friction(X, T0)))) | ((~organization(X!5)) | (internal_friction(X!5, T3!1) = internal_friction(X!5, T2!2)))) <=> ((~![X: $i, T0: $i, T: $i] : ((~organization(X)) | (internal_friction(X, T) = internal_friction(X, T0)))) | (~organization(X!5)) | (internal_friction(X!5, T3!1) = internal_friction(X!5, T2!2)))),
% 0.21/0.54 inference(rewrite,[status(thm)],[])).
% 0.21/0.54 tff(359,plain,
% 0.21/0.54 ((~![X: $i, T0: $i, T: $i] : ((~organization(X)) | (internal_friction(X, T) = internal_friction(X, T0)))) | ((~organization(X!5)) | (internal_friction(X!5, T3!1) = internal_friction(X!5, T2!2)))),
% 0.21/0.54 inference(quant_inst,[status(thm)],[])).
% 0.21/0.54 tff(360,plain,
% 0.21/0.54 ((~![X: $i, T0: $i, T: $i] : ((~organization(X)) | (internal_friction(X, T) = internal_friction(X, T0)))) | (~organization(X!5)) | (internal_friction(X!5, T3!1) = internal_friction(X!5, T2!2))),
% 0.21/0.54 inference(modus_ponens,[status(thm)],[359, 358])).
% 0.21/0.54 tff(361,plain,
% 0.21/0.54 (internal_friction(X!5, T3!1) = internal_friction(X!5, T2!2)),
% 0.21/0.54 inference(unit_resolution,[status(thm)],[360, 357, 12])).
% 0.21/0.54 tff(362,plain,
% 0.21/0.54 ((~![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))) | (smaller_or_equal(internal_friction(X!5, T3!1), internal_friction(X!5, T2!2)) <=> ((internal_friction(X!5, T3!1) = internal_friction(X!5, T2!2)) | smaller(internal_friction(X!5, T3!1), internal_friction(X!5, T2!2))))),
% 0.21/0.54 inference(quant_inst,[status(thm)],[])).
% 0.21/0.54 tff(363,plain,
% 0.21/0.54 (smaller_or_equal(internal_friction(X!5, T3!1), internal_friction(X!5, T2!2)) <=> ((internal_friction(X!5, T3!1) = internal_friction(X!5, T2!2)) | smaller(internal_friction(X!5, T3!1), internal_friction(X!5, T2!2)))),
% 0.21/0.54 inference(unit_resolution,[status(thm)],[362, 209])).
% 0.21/0.54 tff(364,assumption,(~smaller_or_equal(internal_friction(X!5, T3!1), internal_friction(X!5, T2!2))), introduced(assumption)).
% 0.21/0.54 tff(365,plain,
% 0.21/0.54 ((~(smaller_or_equal(internal_friction(X!5, T3!1), internal_friction(X!5, T2!2)) <=> ((internal_friction(X!5, T3!1) = internal_friction(X!5, T2!2)) | smaller(internal_friction(X!5, T3!1), internal_friction(X!5, T2!2))))) | smaller_or_equal(internal_friction(X!5, T3!1), internal_friction(X!5, T2!2)) | (~((internal_friction(X!5, T3!1) = internal_friction(X!5, T2!2)) | smaller(internal_friction(X!5, T3!1), internal_friction(X!5, T2!2))))),
% 0.21/0.54 inference(tautology,[status(thm)],[])).
% 0.21/0.54 tff(366,plain,
% 0.21/0.54 ((~(smaller_or_equal(internal_friction(X!5, T3!1), internal_friction(X!5, T2!2)) <=> ((internal_friction(X!5, T3!1) = internal_friction(X!5, T2!2)) | smaller(internal_friction(X!5, T3!1), internal_friction(X!5, T2!2))))) | (~((internal_friction(X!5, T3!1) = internal_friction(X!5, T2!2)) | smaller(internal_friction(X!5, T3!1), internal_friction(X!5, T2!2))))),
% 0.21/0.54 inference(unit_resolution,[status(thm)],[365, 364])).
% 0.21/0.54 tff(367,plain,
% 0.21/0.54 (~((internal_friction(X!5, T3!1) = internal_friction(X!5, T2!2)) | smaller(internal_friction(X!5, T3!1), internal_friction(X!5, T2!2)))),
% 0.21/0.54 inference(unit_resolution,[status(thm)],[366, 363])).
% 0.21/0.54 tff(368,plain,
% 0.21/0.54 (((internal_friction(X!5, T3!1) = internal_friction(X!5, T2!2)) | smaller(internal_friction(X!5, T3!1), internal_friction(X!5, T2!2))) | (~(internal_friction(X!5, T3!1) = internal_friction(X!5, T2!2)))),
% 0.21/0.54 inference(tautology,[status(thm)],[])).
% 0.21/0.54 tff(369,plain,
% 0.21/0.54 ($false),
% 0.21/0.54 inference(unit_resolution,[status(thm)],[368, 367, 361])).
% 0.21/0.54 tff(370,plain,(smaller_or_equal(internal_friction(X!5, T3!1), internal_friction(X!5, T2!2))), inference(lemma,lemma(discharge,[]))).
% 0.21/0.54 tff(371,plain,
% 0.21/0.54 ((~(greater(capability(X!5, T3!1), capability(X!5, T2!2)) | (~smaller_or_equal(internal_friction(X!5, T3!1), internal_friction(X!5, T2!2))) | (~greater(stock_of_knowledge(X!5, T3!1), stock_of_knowledge(X!5, T2!2))))) | greater(capability(X!5, T3!1), capability(X!5, T2!2)) | (~smaller_or_equal(internal_friction(X!5, T3!1), internal_friction(X!5, T2!2))) | (~greater(stock_of_knowledge(X!5, T3!1), stock_of_knowledge(X!5, T2!2)))),
% 0.21/0.54 inference(tautology,[status(thm)],[])).
% 0.21/0.54 tff(372,plain,
% 0.21/0.54 ((~(greater(capability(X!5, T3!1), capability(X!5, T2!2)) | (~smaller_or_equal(internal_friction(X!5, T3!1), internal_friction(X!5, T2!2))) | (~greater(stock_of_knowledge(X!5, T3!1), stock_of_knowledge(X!5, T2!2))))) | greater(capability(X!5, T3!1), capability(X!5, T2!2)) | (~greater(stock_of_knowledge(X!5, T3!1), stock_of_knowledge(X!5, T2!2)))),
% 0.21/0.54 inference(unit_resolution,[status(thm)],[371, 370])).
% 0.21/0.54 tff(373,plain,
% 0.21/0.54 (greater(capability(X!5, T3!1), capability(X!5, T2!2)) | (~greater(stock_of_knowledge(X!5, T3!1), stock_of_knowledge(X!5, T2!2)))),
% 0.21/0.54 inference(unit_resolution,[status(thm)],[372, 347])).
% 0.21/0.54 tff(374,plain,
% 0.21/0.54 (~greater(stock_of_knowledge(X!5, T3!1), stock_of_knowledge(X!5, T2!2))),
% 0.21/0.54 inference(unit_resolution,[status(thm)],[373, 321])).
% 0.21/0.54 tff(375,plain,
% 0.21/0.54 (^[X: $i, T0: $i, T: $i] : refl((greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0)))) <=> (greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0)))))),
% 0.21/0.54 inference(bind,[status(th)],[])).
% 0.21/0.54 tff(376,plain,
% 0.21/0.54 (![X: $i, T0: $i, T: $i] : (greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0)))) <=> ![X: $i, T0: $i, T: $i] : (greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0))))),
% 0.21/0.54 inference(quant_intro,[status(thm)],[375])).
% 0.21/0.54 tff(377,plain,
% 0.21/0.54 (^[X: $i, T0: $i, T: $i] : trans(monotonicity(trans(monotonicity(rewrite((organization(X) & greater(age(X, T), age(X, T0))) <=> (~((~organization(X)) | (~greater(age(X, T), age(X, T0)))))), ((~(organization(X) & greater(age(X, T), age(X, T0)))) <=> (~(~((~organization(X)) | (~greater(age(X, T), age(X, T0)))))))), rewrite((~(~((~organization(X)) | (~greater(age(X, T), age(X, T0)))))) <=> ((~organization(X)) | (~greater(age(X, T), age(X, T0))))), ((~(organization(X) & greater(age(X, T), age(X, T0)))) <=> ((~organization(X)) | (~greater(age(X, T), age(X, T0)))))), (((~(organization(X) & greater(age(X, T), age(X, T0)))) | greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))) <=> (((~organization(X)) | (~greater(age(X, T), age(X, T0)))) | greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))))), rewrite((((~organization(X)) | (~greater(age(X, T), age(X, T0)))) | greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))) <=> (greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0))))), (((~(organization(X) & greater(age(X, T), age(X, T0)))) | greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))) <=> (greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0))))))),
% 0.21/0.54 inference(bind,[status(th)],[])).
% 0.21/0.54 tff(378,plain,
% 0.21/0.54 (![X: $i, T0: $i, T: $i] : ((~(organization(X) & greater(age(X, T), age(X, T0)))) | greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))) <=> ![X: $i, T0: $i, T: $i] : (greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0))))),
% 0.21/0.54 inference(quant_intro,[status(thm)],[377])).
% 0.21/0.54 tff(379,plain,
% 0.21/0.54 (![X: $i, T0: $i, T: $i] : ((~(organization(X) & greater(age(X, T), age(X, T0)))) | greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))) <=> ![X: $i, T0: $i, T: $i] : ((~(organization(X) & greater(age(X, T), age(X, T0)))) | greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)))),
% 0.21/0.54 inference(rewrite,[status(thm)],[])).
% 0.21/0.54 tff(380,plain,
% 0.21/0.54 (^[X: $i, T0: $i, T: $i] : rewrite(((organization(X) & greater(age(X, T), age(X, T0))) => greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))) <=> ((~(organization(X) & greater(age(X, T), age(X, T0)))) | greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))))),
% 0.21/0.54 inference(bind,[status(th)],[])).
% 0.21/0.54 tff(381,plain,
% 0.21/0.54 (![X: $i, T0: $i, T: $i] : ((organization(X) & greater(age(X, T), age(X, T0))) => greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))) <=> ![X: $i, T0: $i, T: $i] : ((~(organization(X) & greater(age(X, T), age(X, T0)))) | greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)))),
% 0.21/0.54 inference(quant_intro,[status(thm)],[380])).
% 0.21/0.54 tff(382,axiom,(![X: $i, T0: $i, T: $i] : ((organization(X) & greater(age(X, T), age(X, T0))) => greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','assumption_7')).
% 0.21/0.54 tff(383,plain,
% 0.21/0.54 (![X: $i, T0: $i, T: $i] : ((~(organization(X) & greater(age(X, T), age(X, T0)))) | greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)))),
% 0.21/0.54 inference(modus_ponens,[status(thm)],[382, 381])).
% 0.21/0.54 tff(384,plain,
% 0.21/0.54 (![X: $i, T0: $i, T: $i] : ((~(organization(X) & greater(age(X, T), age(X, T0)))) | greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)))),
% 0.21/0.54 inference(modus_ponens,[status(thm)],[383, 379])).
% 0.21/0.54 tff(385,plain,(
% 0.21/0.54 ![X: $i, T0: $i, T: $i] : ((~(organization(X) & greater(age(X, T), age(X, T0)))) | greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)))),
% 0.21/0.54 inference(skolemize,[status(sab)],[384])).
% 0.21/0.54 tff(386,plain,
% 0.21/0.54 (![X: $i, T0: $i, T: $i] : (greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0))))),
% 0.21/0.54 inference(modus_ponens,[status(thm)],[385, 378])).
% 0.21/0.54 tff(387,plain,
% 0.21/0.54 (![X: $i, T0: $i, T: $i] : (greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0))))),
% 0.21/0.54 inference(modus_ponens,[status(thm)],[386, 376])).
% 0.21/0.54 tff(388,plain,
% 0.21/0.54 (((~![X: $i, T0: $i, T: $i] : (greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0))))) | ((~greater(age(X!5, T3!1), age(X!5, T2!2))) | (~organization(X!5)) | greater(stock_of_knowledge(X!5, T3!1), stock_of_knowledge(X!5, T2!2)))) <=> ((~![X: $i, T0: $i, T: $i] : (greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0))))) | (~greater(age(X!5, T3!1), age(X!5, T2!2))) | (~organization(X!5)) | greater(stock_of_knowledge(X!5, T3!1), stock_of_knowledge(X!5, T2!2)))),
% 0.21/0.54 inference(rewrite,[status(thm)],[])).
% 0.21/0.54 tff(389,plain,
% 0.21/0.54 ((greater(stock_of_knowledge(X!5, T3!1), stock_of_knowledge(X!5, T2!2)) | (~organization(X!5)) | (~greater(age(X!5, T3!1), age(X!5, T2!2)))) <=> ((~greater(age(X!5, T3!1), age(X!5, T2!2))) | (~organization(X!5)) | greater(stock_of_knowledge(X!5, T3!1), stock_of_knowledge(X!5, T2!2)))),
% 0.21/0.54 inference(rewrite,[status(thm)],[])).
% 0.21/0.54 tff(390,plain,
% 0.21/0.54 (((~![X: $i, T0: $i, T: $i] : (greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0))))) | (greater(stock_of_knowledge(X!5, T3!1), stock_of_knowledge(X!5, T2!2)) | (~organization(X!5)) | (~greater(age(X!5, T3!1), age(X!5, T2!2))))) <=> ((~![X: $i, T0: $i, T: $i] : (greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0))))) | ((~greater(age(X!5, T3!1), age(X!5, T2!2))) | (~organization(X!5)) | greater(stock_of_knowledge(X!5, T3!1), stock_of_knowledge(X!5, T2!2))))),
% 0.21/0.54 inference(monotonicity,[status(thm)],[389])).
% 0.21/0.54 tff(391,plain,
% 0.21/0.54 (((~![X: $i, T0: $i, T: $i] : (greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0))))) | (greater(stock_of_knowledge(X!5, T3!1), stock_of_knowledge(X!5, T2!2)) | (~organization(X!5)) | (~greater(age(X!5, T3!1), age(X!5, T2!2))))) <=> ((~![X: $i, T0: $i, T: $i] : (greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0))))) | (~greater(age(X!5, T3!1), age(X!5, T2!2))) | (~organization(X!5)) | greater(stock_of_knowledge(X!5, T3!1), stock_of_knowledge(X!5, T2!2)))),
% 0.21/0.54 inference(transitivity,[status(thm)],[390, 388])).
% 0.21/0.54 tff(392,plain,
% 0.21/0.54 ((~![X: $i, T0: $i, T: $i] : (greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0))))) | (greater(stock_of_knowledge(X!5, T3!1), stock_of_knowledge(X!5, T2!2)) | (~organization(X!5)) | (~greater(age(X!5, T3!1), age(X!5, T2!2))))),
% 0.21/0.54 inference(quant_inst,[status(thm)],[])).
% 0.21/0.54 tff(393,plain,
% 0.21/0.54 ((~![X: $i, T0: $i, T: $i] : (greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0))))) | (~greater(age(X!5, T3!1), age(X!5, T2!2))) | (~organization(X!5)) | greater(stock_of_knowledge(X!5, T3!1), stock_of_knowledge(X!5, T2!2))),
% 0.21/0.54 inference(modus_ponens,[status(thm)],[392, 391])).
% 0.21/0.54 tff(394,plain,
% 0.21/0.54 ($false),
% 0.21/0.54 inference(unit_resolution,[status(thm)],[393, 387, 12, 11, 374])).
% 0.21/0.54 % SZS output end Proof
% 0.21/0.55 % E exiting
%------------------------------------------------------------------------------