%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : MGT051+1 : TPTP v9.3.0. Released v2.4.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : run_E %s %d THM
% Computer : n027.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 8 06:24:07 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 : MGT051+1 : TPTP v9.3.0. Released v2.4.0.
% 0.00/0.02 % Command : run_E %s %d THM
% 0.08/0.34 % Computer : n027.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Mon Sep 7 13:21:49 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.12/0.44 % SZS status Theorem
% 0.12/0.44 % SZS output start Proof
% 0.12/0.44 tff(position_type, type, (
% 0.12/0.44 position: ( $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(external_ties_type, type, (
% 0.12/0.44 external_ties: ( $i * $i ) > $i)).
% 0.12/0.44 tff(greater_type, type, (
% 0.12/0.44 greater: ( $i * $i ) > $o)).
% 0.12/0.44 tff(organization_type, type, (
% 0.12/0.44 organization: $i > $o)).
% 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(hazard_of_mortality_type, type, (
% 0.12/0.44 hazard_of_mortality: ( $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(capability_type, type, (
% 0.12/0.44 capability: ( $i * $i ) > $i)).
% 0.12/0.44 tff(smaller_type, type, (
% 0.12/0.44 smaller: ( $i * $i ) > $o)).
% 0.12/0.44 tff(internal_friction_type, type, (
% 0.12/0.44 internal_friction: ( $i * $i ) > $i)).
% 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(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(1,assumption,(~(external_ties(X!5, T2!2) = external_ties(X!5, T3!1))), 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, T3), hazard_of_mortality(X, T2)) & greater(hazard_of_mortality(X, T2), hazard_of_mortality(X, T1)) & (hazard_of_mortality(X, T1) = hazard_of_mortality(X, T0))))) <=> (~![X: $i, T0: $i, T1: $i, T2: $i, 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, T3), hazard_of_mortality(X, T2)) & greater(hazard_of_mortality(X, T2), 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, T3), hazard_of_mortality(X, T2)) & greater(hazard_of_mortality(X, T2), hazard_of_mortality(X, T1))) & (hazard_of_mortality(X, T1) = hazard_of_mortality(X, T0))))) <=> (~![X: $i, T0: $i, T1: $i, T2: $i, 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, T3), hazard_of_mortality(X, T2)) & greater(hazard_of_mortality(X, T2), 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, T3), hazard_of_mortality(X, T2)) & greater(hazard_of_mortality(X, T2), hazard_of_mortality(X, T1))) & (hazard_of_mortality(X, T1) = hazard_of_mortality(X, T0))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','theorem_4')).
% 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, T3), hazard_of_mortality(X, T2)) & greater(hazard_of_mortality(X, T2), 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, T3), hazard_of_mortality(X, T2)) & greater(hazard_of_mortality(X, T2), 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, T3), hazard_of_mortality(X, T2)) & greater(hazard_of_mortality(X, T2), 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, T3), hazard_of_mortality(X, T2)) & greater(hazard_of_mortality(X, T2), 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, T3!1), hazard_of_mortality(X!5, T2!2)) & greater(hazard_of_mortality(X!5, T2!2), 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 (organization(X!5)),
% 0.12/0.44 inference(and_elim,[status(thm)],[10])).
% 0.12/0.44 tff(12,plain,
% 0.12/0.44 (^[X: $i, T0: $i, T: $i] : refl(((~organization(X)) | (external_ties(X, T) = external_ties(X, T0))) <=> ((~organization(X)) | (external_ties(X, T) = external_ties(X, T0))))),
% 0.12/0.44 inference(bind,[status(th)],[])).
% 0.12/0.44 tff(13,plain,
% 0.12/0.44 (![X: $i, T0: $i, T: $i] : ((~organization(X)) | (external_ties(X, T) = external_ties(X, T0))) <=> ![X: $i, T0: $i, T: $i] : ((~organization(X)) | (external_ties(X, T) = external_ties(X, T0)))),
% 0.12/0.44 inference(quant_intro,[status(thm)],[12])).
% 0.12/0.44 tff(14,plain,
% 0.12/0.44 (![X: $i, T0: $i, T: $i] : ((~organization(X)) | (external_ties(X, T) = external_ties(X, T0))) <=> ![X: $i, T0: $i, T: $i] : ((~organization(X)) | (external_ties(X, T) = external_ties(X, T0)))),
% 0.12/0.44 inference(rewrite,[status(thm)],[])).
% 0.12/0.44 tff(15,plain,
% 0.12/0.44 (^[X: $i, T0: $i, T: $i] : rewrite((organization(X) => (external_ties(X, T) = external_ties(X, T0))) <=> ((~organization(X)) | (external_ties(X, T) = external_ties(X, T0))))),
% 0.12/0.44 inference(bind,[status(th)],[])).
% 0.12/0.44 tff(16,plain,
% 0.12/0.44 (![X: $i, T0: $i, T: $i] : (organization(X) => (external_ties(X, T) = external_ties(X, T0))) <=> ![X: $i, T0: $i, T: $i] : ((~organization(X)) | (external_ties(X, T) = external_ties(X, T0)))),
% 0.12/0.44 inference(quant_intro,[status(thm)],[15])).
% 0.12/0.44 tff(17,axiom,(![X: $i, T0: $i, T: $i] : (organization(X) => (external_ties(X, T) = external_ties(X, T0)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','assumption_11')).
% 0.12/0.44 tff(18,plain,
% 0.12/0.44 (![X: $i, T0: $i, T: $i] : ((~organization(X)) | (external_ties(X, T) = external_ties(X, T0)))),
% 0.12/0.44 inference(modus_ponens,[status(thm)],[17, 16])).
% 0.12/0.44 tff(19,plain,
% 0.12/0.44 (![X: $i, T0: $i, T: $i] : ((~organization(X)) | (external_ties(X, T) = external_ties(X, T0)))),
% 0.12/0.44 inference(modus_ponens,[status(thm)],[18, 14])).
% 0.12/0.44 tff(20,plain,(
% 0.12/0.44 ![X: $i, T0: $i, T: $i] : ((~organization(X)) | (external_ties(X, T) = external_ties(X, T0)))),
% 0.12/0.44 inference(skolemize,[status(sab)],[19])).
% 0.12/0.44 tff(21,plain,
% 0.12/0.44 (![X: $i, T0: $i, T: $i] : ((~organization(X)) | (external_ties(X, T) = external_ties(X, T0)))),
% 0.12/0.44 inference(modus_ponens,[status(thm)],[20, 13])).
% 0.12/0.44 tff(22,plain,
% 0.12/0.44 (((~![X: $i, T0: $i, T: $i] : ((~organization(X)) | (external_ties(X, T) = external_ties(X, T0)))) | ((~organization(X!5)) | (external_ties(X!5, T2!2) = external_ties(X!5, T3!1)))) <=> ((~![X: $i, T0: $i, T: $i] : ((~organization(X)) | (external_ties(X, T) = external_ties(X, T0)))) | (~organization(X!5)) | (external_ties(X!5, T2!2) = external_ties(X!5, T3!1)))),
% 0.12/0.44 inference(rewrite,[status(thm)],[])).
% 0.12/0.44 tff(23,plain,
% 0.12/0.44 ((~![X: $i, T0: $i, T: $i] : ((~organization(X)) | (external_ties(X, T) = external_ties(X, T0)))) | ((~organization(X!5)) | (external_ties(X!5, T2!2) = external_ties(X!5, T3!1)))),
% 0.12/0.44 inference(quant_inst,[status(thm)],[])).
% 0.12/0.44 tff(24,plain,
% 0.12/0.44 ((~![X: $i, T0: $i, T: $i] : ((~organization(X)) | (external_ties(X, T) = external_ties(X, T0)))) | (~organization(X!5)) | (external_ties(X!5, T2!2) = external_ties(X!5, T3!1))),
% 0.12/0.44 inference(modus_ponens,[status(thm)],[23, 22])).
% 0.12/0.44 tff(25,plain,
% 0.12/0.44 ($false),
% 0.12/0.44 inference(unit_resolution,[status(thm)],[24, 21, 11, 1])).
% 0.12/0.44 tff(26,plain,(external_ties(X!5, T2!2) = external_ties(X!5, T3!1)), inference(lemma,lemma(discharge,[]))).
% 0.12/0.44 tff(27,plain,
% 0.12/0.44 (external_ties(X!5, T3!1) = external_ties(X!5, T2!2)),
% 0.12/0.44 inference(symmetry,[status(thm)],[26])).
% 0.12/0.44 tff(28,plain,
% 0.12/0.44 ((position(X!5, T2!2) = position(X!5, T3!1)) <=> (position(X!5, T3!1) = position(X!5, T2!2))),
% 0.12/0.44 inference(commutativity,[status(thm)],[])).
% 0.12/0.44 tff(29,plain,
% 0.12/0.44 ((~(position(X!5, T2!2) = position(X!5, T3!1))) <=> (~(position(X!5, T3!1) = position(X!5, T2!2)))),
% 0.12/0.44 inference(monotonicity,[status(thm)],[28])).
% 0.12/0.44 tff(30,plain,
% 0.12/0.44 (^[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))))),
% 0.12/0.44 inference(bind,[status(th)],[])).
% 0.12/0.44 tff(31,plain,
% 0.12/0.44 (![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)))),
% 0.12/0.44 inference(quant_intro,[status(thm)],[30])).
% 0.12/0.44 tff(32,plain,
% 0.12/0.44 (![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)))),
% 0.12/0.44 inference(rewrite,[status(thm)],[])).
% 0.12/0.44 tff(33,plain,
% 0.12/0.44 (^[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))))),
% 0.12/0.44 inference(bind,[status(th)],[])).
% 0.12/0.44 tff(34,plain,
% 0.12/0.44 (![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)))),
% 0.12/0.44 inference(quant_intro,[status(thm)],[33])).
% 0.12/0.44 tff(35,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')).
% 0.12/0.44 tff(36,plain,
% 0.12/0.44 (![X: $i, Y: $i] : (greater_or_equal(X, Y) <=> ((X = Y) | greater(X, Y)))),
% 0.12/0.44 inference(modus_ponens,[status(thm)],[35, 34])).
% 0.12/0.44 tff(37,plain,
% 0.12/0.44 (![X: $i, Y: $i] : (greater_or_equal(X, Y) <=> ((X = Y) | greater(X, Y)))),
% 0.12/0.44 inference(modus_ponens,[status(thm)],[36, 32])).
% 0.12/0.44 tff(38,plain,(
% 0.12/0.44 ![X: $i, Y: $i] : (greater_or_equal(X, Y) <=> ((X = Y) | greater(X, Y)))),
% 0.12/0.44 inference(skolemize,[status(sab)],[37])).
% 0.12/0.44 tff(39,plain,
% 0.12/0.44 (![X: $i, Y: $i] : (greater_or_equal(X, Y) <=> ((X = Y) | greater(X, Y)))),
% 0.12/0.44 inference(modus_ponens,[status(thm)],[38, 31])).
% 0.12/0.44 tff(40,plain,
% 0.12/0.44 ((~![X: $i, Y: $i] : (greater_or_equal(X, Y) <=> ((X = Y) | greater(X, Y)))) | (greater_or_equal(position(X!5, T2!2), position(X!5, T3!1)) <=> ((position(X!5, T2!2) = position(X!5, T3!1)) | greater(position(X!5, T2!2), position(X!5, T3!1))))),
% 0.12/0.44 inference(quant_inst,[status(thm)],[])).
% 0.12/0.44 tff(41,plain,
% 0.12/0.44 (greater_or_equal(position(X!5, T2!2), position(X!5, T3!1)) <=> ((position(X!5, T2!2) = position(X!5, T3!1)) | greater(position(X!5, T2!2), position(X!5, T3!1)))),
% 0.12/0.44 inference(unit_resolution,[status(thm)],[40, 39])).
% 0.12/0.44 tff(42,assumption,((~(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)))))), introduced(assumption)).
% 0.12/0.44 tff(43,plain,
% 0.12/0.44 (![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))))))))),
% 0.12/0.44 inference(rewrite,[status(thm)],[])).
% 0.12/0.44 tff(44,plain,
% 0.12/0.44 (^[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)))))))))),
% 0.12/0.44 inference(bind,[status(th)],[])).
% 0.12/0.44 tff(45,plain,
% 0.12/0.44 (![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))))))))),
% 0.12/0.44 inference(quant_intro,[status(thm)],[44])).
% 0.12/0.44 tff(46,plain,
% 0.12/0.44 (^[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)))))))))),
% 0.12/0.44 inference(bind,[status(th)],[])).
% 0.12/0.44 tff(47,plain,
% 0.12/0.44 (![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))))))))),
% 0.12/0.44 inference(quant_intro,[status(thm)],[46])).
% 0.12/0.44 tff(48,plain,
% 0.12/0.44 (![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)))))),
% 0.12/0.45 inference(rewrite,[status(thm)],[])).
% 0.12/0.45 tff(49,plain,
% 0.12/0.45 (^[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)))))))),
% 0.12/0.45 inference(bind,[status(th)],[])).
% 0.12/0.45 tff(50,plain,
% 0.12/0.45 (![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)))))),
% 0.12/0.45 inference(quant_intro,[status(thm)],[49])).
% 0.12/0.45 tff(51,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')).
% 0.12/0.45 tff(52,plain,
% 0.12/0.45 (![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)))))),
% 0.12/0.45 inference(modus_ponens,[status(thm)],[51, 50])).
% 0.12/0.45 tff(53,plain,
% 0.12/0.45 (![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)))))),
% 0.12/0.45 inference(modus_ponens,[status(thm)],[52, 48])).
% 0.12/0.45 tff(54,plain,(
% 0.12/0.45 ![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)))))),
% 0.12/0.45 inference(skolemize,[status(sab)],[53])).
% 0.12/0.45 tff(55,plain,
% 0.12/0.45 (![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))))))))),
% 0.12/0.45 inference(modus_ponens,[status(thm)],[54, 47])).
% 0.12/0.45 tff(56,plain,
% 0.12/0.45 (![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))))))))),
% 0.12/0.45 inference(modus_ponens,[status(thm)],[55, 45])).
% 0.12/0.45 tff(57,plain,
% 0.12/0.45 (![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))))))))),
% 0.12/0.45 inference(modus_ponens,[status(thm)],[56, 43])).
% 0.12/0.45 tff(58,plain,
% 0.12/0.45 (((~![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)) | (~((~(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))))))))),
% 0.12/0.45 inference(rewrite,[status(thm)],[])).
% 0.12/0.45 tff(59,plain,
% 0.12/0.45 ((~![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))))))))),
% 0.12/0.45 inference(quant_inst,[status(thm)],[])).
% 0.12/0.45 tff(60,plain,
% 0.12/0.45 ((~![X: $i, T0: $i, T: $i] : ((~organization(X)) | (~((~(greater(capability(X, T), capability(X, T0)) | (~greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))) | (~smaller_or_equal(internal_friction(X, T), internal_friction(X, T0))))) | (~(smaller(capability(X, T), capability(X, T0)) | (~smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))) | (~greater(internal_friction(X, T), internal_friction(X, T0))))) | (~((capability(X, T) = capability(X, T0)) | (~(stock_of_knowledge(X, T) = stock_of_knowledge(X, T0))) | (~(internal_friction(X, T) = internal_friction(X, T0))))))))) | (~organization(X!5)) | (~((~(greater(capability(X!5, T3!1), capability(X!5, T2!2)) | (~greater(stock_of_knowledge(X!5, T3!1), stock_of_knowledge(X!5, T2!2))) | (~smaller_or_equal(internal_friction(X!5, T3!1), internal_friction(X!5, T2!2))))) | (~(smaller(capability(X!5, T3!1), capability(X!5, T2!2)) | (~smaller_or_equal(stock_of_knowledge(X!5, T3!1), stock_of_knowledge(X!5, T2!2))) | (~greater(internal_friction(X!5, T3!1), internal_friction(X!5, T2!2))))) | (~((capability(X!5, T3!1) = capability(X!5, T2!2)) | (~(stock_of_knowledge(X!5, T3!1) = stock_of_knowledge(X!5, T2!2))) | (~(internal_friction(X!5, T3!1) = internal_friction(X!5, T2!2)))))))),
% 0.12/0.45 inference(modus_ponens,[status(thm)],[59, 58])).
% 0.12/0.45 tff(61,plain,
% 0.12/0.45 ($false),
% 0.12/0.45 inference(unit_resolution,[status(thm)],[60, 57, 11, 42])).
% 0.12/0.45 tff(62,plain,(~((~(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))))))), inference(lemma,lemma(discharge,[]))).
% 0.12/0.45 tff(63,plain,
% 0.12/0.45 (((~(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)))))) | (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))))),
% 0.12/0.45 inference(tautology,[status(thm)],[])).
% 0.12/0.45 tff(64,plain,
% 0.12/0.45 (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)))),
% 0.12/0.45 inference(unit_resolution,[status(thm)],[63, 62])).
% 0.12/0.45 tff(65,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)))), introduced(assumption)).
% 0.12/0.45 tff(66,assumption,(~(stock_of_knowledge(X!5, T3!1) = stock_of_knowledge(X!5, T2!2))), introduced(assumption)).
% 0.12/0.45 tff(67,plain,
% 0.12/0.45 (^[X: $i, T0: $i, T: $i] : refl(((~organization(X)) | (stock_of_knowledge(X, T) = stock_of_knowledge(X, T0))) <=> ((~organization(X)) | (stock_of_knowledge(X, T) = stock_of_knowledge(X, T0))))),
% 0.12/0.45 inference(bind,[status(th)],[])).
% 0.12/0.45 tff(68,plain,
% 0.12/0.45 (![X: $i, T0: $i, T: $i] : ((~organization(X)) | (stock_of_knowledge(X, T) = stock_of_knowledge(X, T0))) <=> ![X: $i, T0: $i, T: $i] : ((~organization(X)) | (stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)))),
% 0.12/0.45 inference(quant_intro,[status(thm)],[67])).
% 0.12/0.45 tff(69,plain,
% 0.12/0.45 (![X: $i, T0: $i, T: $i] : ((~organization(X)) | (stock_of_knowledge(X, T) = stock_of_knowledge(X, T0))) <=> ![X: $i, T0: $i, T: $i] : ((~organization(X)) | (stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)))),
% 0.12/0.45 inference(rewrite,[status(thm)],[])).
% 0.12/0.45 tff(70,plain,
% 0.12/0.45 (^[X: $i, T0: $i, T: $i] : rewrite((organization(X) => (stock_of_knowledge(X, T) = stock_of_knowledge(X, T0))) <=> ((~organization(X)) | (stock_of_knowledge(X, T) = stock_of_knowledge(X, T0))))),
% 0.12/0.45 inference(bind,[status(th)],[])).
% 0.12/0.45 tff(71,plain,
% 0.12/0.45 (![X: $i, T0: $i, T: $i] : (organization(X) => (stock_of_knowledge(X, T) = stock_of_knowledge(X, T0))) <=> ![X: $i, T0: $i, T: $i] : ((~organization(X)) | (stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)))),
% 0.12/0.45 inference(quant_intro,[status(thm)],[70])).
% 0.12/0.45 tff(72,axiom,(![X: $i, T0: $i, T: $i] : (organization(X) => (stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','assumption_10')).
% 0.12/0.45 tff(73,plain,
% 0.12/0.45 (![X: $i, T0: $i, T: $i] : ((~organization(X)) | (stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)))),
% 0.12/0.45 inference(modus_ponens,[status(thm)],[72, 71])).
% 0.12/0.45 tff(74,plain,
% 0.12/0.45 (![X: $i, T0: $i, T: $i] : ((~organization(X)) | (stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)))),
% 0.12/0.45 inference(modus_ponens,[status(thm)],[73, 69])).
% 0.12/0.45 tff(75,plain,(
% 0.12/0.45 ![X: $i, T0: $i, T: $i] : ((~organization(X)) | (stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)))),
% 0.12/0.45 inference(skolemize,[status(sab)],[74])).
% 0.12/0.45 tff(76,plain,
% 0.12/0.45 (![X: $i, T0: $i, T: $i] : ((~organization(X)) | (stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)))),
% 0.12/0.45 inference(modus_ponens,[status(thm)],[75, 68])).
% 0.12/0.45 tff(77,plain,
% 0.12/0.45 (((~![X: $i, T0: $i, T: $i] : ((~organization(X)) | (stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)))) | ((~organization(X!5)) | (stock_of_knowledge(X!5, T3!1) = stock_of_knowledge(X!5, T2!2)))) <=> ((~![X: $i, T0: $i, T: $i] : ((~organization(X)) | (stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)))) | (~organization(X!5)) | (stock_of_knowledge(X!5, T3!1) = stock_of_knowledge(X!5, T2!2)))),
% 0.12/0.45 inference(rewrite,[status(thm)],[])).
% 0.12/0.45 tff(78,plain,
% 0.12/0.45 ((~![X: $i, T0: $i, T: $i] : ((~organization(X)) | (stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)))) | ((~organization(X!5)) | (stock_of_knowledge(X!5, T3!1) = stock_of_knowledge(X!5, T2!2)))),
% 0.12/0.45 inference(quant_inst,[status(thm)],[])).
% 0.12/0.45 tff(79,plain,
% 0.12/0.45 ((~![X: $i, T0: $i, T: $i] : ((~organization(X)) | (stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)))) | (~organization(X!5)) | (stock_of_knowledge(X!5, T3!1) = stock_of_knowledge(X!5, T2!2))),
% 0.21/0.46 inference(modus_ponens,[status(thm)],[78, 77])).
% 0.21/0.46 tff(80,plain,
% 0.21/0.46 ($false),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[79, 76, 11, 66])).
% 0.21/0.46 tff(81,plain,(stock_of_knowledge(X!5, T3!1) = stock_of_knowledge(X!5, T2!2)), inference(lemma,lemma(discharge,[]))).
% 0.21/0.46 tff(82,plain,
% 0.21/0.46 (stock_of_knowledge(X!5, T2!2) = stock_of_knowledge(X!5, T3!1)),
% 0.21/0.46 inference(symmetry,[status(thm)],[81])).
% 0.21/0.46 tff(83,plain,
% 0.21/0.46 (smaller_or_equal(stock_of_knowledge(X!5, T3!1), stock_of_knowledge(X!5, T2!2)) <=> smaller_or_equal(stock_of_knowledge(X!5, T3!1), stock_of_knowledge(X!5, T3!1))),
% 0.21/0.46 inference(monotonicity,[status(thm)],[82])).
% 0.21/0.46 tff(84,plain,
% 0.21/0.46 (smaller_or_equal(stock_of_knowledge(X!5, T3!1), stock_of_knowledge(X!5, T3!1)) <=> smaller_or_equal(stock_of_knowledge(X!5, T3!1), stock_of_knowledge(X!5, T2!2))),
% 0.21/0.46 inference(symmetry,[status(thm)],[83])).
% 0.21/0.46 tff(85,plain,
% 0.21/0.46 (smaller_or_equal(stock_of_knowledge(X!5, T2!2), stock_of_knowledge(X!5, T2!2)) <=> smaller_or_equal(stock_of_knowledge(X!5, T3!1), stock_of_knowledge(X!5, T3!1))),
% 0.21/0.46 inference(monotonicity,[status(thm)],[82, 82])).
% 0.21/0.46 tff(86,assumption,(~smaller_or_equal(stock_of_knowledge(X!5, T2!2), stock_of_knowledge(X!5, T2!2))), introduced(assumption)).
% 0.21/0.46 tff(87,plain,
% 0.21/0.46 (^[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))))),
% 0.21/0.46 inference(bind,[status(th)],[])).
% 0.21/0.46 tff(88,plain,
% 0.21/0.46 (![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)))),
% 0.21/0.46 inference(quant_intro,[status(thm)],[87])).
% 0.21/0.46 tff(89,plain,
% 0.21/0.46 (![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)))),
% 0.21/0.46 inference(rewrite,[status(thm)],[])).
% 0.21/0.46 tff(90,plain,
% 0.21/0.46 (^[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))))),
% 0.21/0.46 inference(bind,[status(th)],[])).
% 0.21/0.46 tff(91,plain,
% 0.21/0.46 (![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)))),
% 0.21/0.46 inference(quant_intro,[status(thm)],[90])).
% 0.21/0.46 tff(92,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')).
% 0.21/0.46 tff(93,plain,
% 0.21/0.46 (![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))),
% 0.21/0.46 inference(modus_ponens,[status(thm)],[92, 91])).
% 0.21/0.46 tff(94,plain,
% 0.21/0.46 (![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))),
% 0.21/0.46 inference(modus_ponens,[status(thm)],[93, 89])).
% 0.21/0.46 tff(95,plain,(
% 0.21/0.46 ![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))),
% 0.21/0.46 inference(skolemize,[status(sab)],[94])).
% 0.21/0.46 tff(96,plain,
% 0.21/0.46 (![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))),
% 0.21/0.46 inference(modus_ponens,[status(thm)],[95, 88])).
% 0.21/0.46 tff(97,plain,
% 0.21/0.46 (((~![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))) | smaller_or_equal(stock_of_knowledge(X!5, T2!2), stock_of_knowledge(X!5, T2!2))) <=> ((~![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))) | smaller_or_equal(stock_of_knowledge(X!5, T2!2), stock_of_knowledge(X!5, T2!2)))),
% 0.21/0.46 inference(rewrite,[status(thm)],[])).
% 0.21/0.46 tff(98,plain,
% 0.21/0.46 ((smaller_or_equal(stock_of_knowledge(X!5, T2!2), stock_of_knowledge(X!5, T2!2)) <=> $true) <=> smaller_or_equal(stock_of_knowledge(X!5, T2!2), stock_of_knowledge(X!5, T2!2))),
% 0.21/0.46 inference(rewrite,[status(thm)],[])).
% 0.21/0.46 tff(99,plain,
% 0.21/0.46 (($true | smaller(stock_of_knowledge(X!5, T2!2), stock_of_knowledge(X!5, T2!2))) <=> $true),
% 0.21/0.46 inference(rewrite,[status(thm)],[])).
% 0.21/0.46 tff(100,plain,
% 0.21/0.46 ((stock_of_knowledge(X!5, T2!2) = stock_of_knowledge(X!5, T2!2)) <=> $true),
% 0.21/0.46 inference(rewrite,[status(thm)],[])).
% 0.21/0.46 tff(101,plain,
% 0.21/0.46 (((stock_of_knowledge(X!5, T2!2) = stock_of_knowledge(X!5, T2!2)) | smaller(stock_of_knowledge(X!5, T2!2), stock_of_knowledge(X!5, T2!2))) <=> ($true | smaller(stock_of_knowledge(X!5, T2!2), stock_of_knowledge(X!5, T2!2)))),
% 0.21/0.46 inference(monotonicity,[status(thm)],[100])).
% 0.21/0.46 tff(102,plain,
% 0.21/0.46 (((stock_of_knowledge(X!5, T2!2) = stock_of_knowledge(X!5, T2!2)) | smaller(stock_of_knowledge(X!5, T2!2), stock_of_knowledge(X!5, T2!2))) <=> $true),
% 0.21/0.46 inference(transitivity,[status(thm)],[101, 99])).
% 0.21/0.46 tff(103,plain,
% 0.21/0.46 ((smaller_or_equal(stock_of_knowledge(X!5, T2!2), stock_of_knowledge(X!5, T2!2)) <=> ((stock_of_knowledge(X!5, T2!2) = stock_of_knowledge(X!5, T2!2)) | smaller(stock_of_knowledge(X!5, T2!2), stock_of_knowledge(X!5, T2!2)))) <=> (smaller_or_equal(stock_of_knowledge(X!5, T2!2), stock_of_knowledge(X!5, T2!2)) <=> $true)),
% 0.21/0.46 inference(monotonicity,[status(thm)],[102])).
% 0.21/0.46 tff(104,plain,
% 0.21/0.46 ((smaller_or_equal(stock_of_knowledge(X!5, T2!2), stock_of_knowledge(X!5, T2!2)) <=> ((stock_of_knowledge(X!5, T2!2) = stock_of_knowledge(X!5, T2!2)) | smaller(stock_of_knowledge(X!5, T2!2), stock_of_knowledge(X!5, T2!2)))) <=> smaller_or_equal(stock_of_knowledge(X!5, T2!2), stock_of_knowledge(X!5, T2!2))),
% 0.21/0.46 inference(transitivity,[status(thm)],[103, 98])).
% 0.21/0.46 tff(105,plain,
% 0.21/0.46 (((~![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))) | (smaller_or_equal(stock_of_knowledge(X!5, T2!2), stock_of_knowledge(X!5, T2!2)) <=> ((stock_of_knowledge(X!5, T2!2) = stock_of_knowledge(X!5, T2!2)) | smaller(stock_of_knowledge(X!5, T2!2), stock_of_knowledge(X!5, T2!2))))) <=> ((~![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))) | smaller_or_equal(stock_of_knowledge(X!5, T2!2), stock_of_knowledge(X!5, T2!2)))),
% 0.21/0.46 inference(monotonicity,[status(thm)],[104])).
% 0.21/0.46 tff(106,plain,
% 0.21/0.46 (((~![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))) | (smaller_or_equal(stock_of_knowledge(X!5, T2!2), stock_of_knowledge(X!5, T2!2)) <=> ((stock_of_knowledge(X!5, T2!2) = stock_of_knowledge(X!5, T2!2)) | smaller(stock_of_knowledge(X!5, T2!2), stock_of_knowledge(X!5, T2!2))))) <=> ((~![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))) | smaller_or_equal(stock_of_knowledge(X!5, T2!2), stock_of_knowledge(X!5, T2!2)))),
% 0.21/0.46 inference(transitivity,[status(thm)],[105, 97])).
% 0.21/0.46 tff(107,plain,
% 0.21/0.46 ((~![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))) | (smaller_or_equal(stock_of_knowledge(X!5, T2!2), stock_of_knowledge(X!5, T2!2)) <=> ((stock_of_knowledge(X!5, T2!2) = stock_of_knowledge(X!5, T2!2)) | smaller(stock_of_knowledge(X!5, T2!2), stock_of_knowledge(X!5, T2!2))))),
% 0.21/0.46 inference(quant_inst,[status(thm)],[])).
% 0.21/0.46 tff(108,plain,
% 0.21/0.46 ((~![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))) | smaller_or_equal(stock_of_knowledge(X!5, T2!2), stock_of_knowledge(X!5, T2!2))),
% 0.21/0.46 inference(modus_ponens,[status(thm)],[107, 106])).
% 0.21/0.46 tff(109,plain,
% 0.21/0.46 ($false),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[108, 96, 86])).
% 0.21/0.46 tff(110,plain,(smaller_or_equal(stock_of_knowledge(X!5, T2!2), stock_of_knowledge(X!5, T2!2))), inference(lemma,lemma(discharge,[]))).
% 0.21/0.46 tff(111,plain,
% 0.21/0.46 (smaller_or_equal(stock_of_knowledge(X!5, T3!1), stock_of_knowledge(X!5, T3!1))),
% 0.21/0.46 inference(modus_ponens,[status(thm)],[110, 85])).
% 0.21/0.46 tff(112,plain,
% 0.21/0.46 (smaller_or_equal(stock_of_knowledge(X!5, T3!1), stock_of_knowledge(X!5, T2!2))),
% 0.21/0.46 inference(modus_ponens,[status(thm)],[111, 84])).
% 0.21/0.46 tff(113,plain,
% 0.21/0.46 (greater(age(X!5, T3!1), age(X!5, T2!2))),
% 0.21/0.46 inference(and_elim,[status(thm)],[10])).
% 0.21/0.46 tff(114,plain,
% 0.21/0.46 (^[X: $i, T0: $i, T: $i] : refl((greater(internal_friction(X, T), internal_friction(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0)))) <=> (greater(internal_friction(X, T), internal_friction(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0)))))),
% 0.21/0.46 inference(bind,[status(th)],[])).
% 0.21/0.46 tff(115,plain,
% 0.21/0.46 (![X: $i, T0: $i, T: $i] : (greater(internal_friction(X, T), internal_friction(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0)))) <=> ![X: $i, T0: $i, T: $i] : (greater(internal_friction(X, T), internal_friction(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0))))),
% 0.21/0.46 inference(quant_intro,[status(thm)],[114])).
% 0.21/0.46 tff(116,plain,
% 0.21/0.46 (^[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(internal_friction(X, T), internal_friction(X, T0))) <=> (((~organization(X)) | (~greater(age(X, T), age(X, T0)))) | greater(internal_friction(X, T), internal_friction(X, T0))))), rewrite((((~organization(X)) | (~greater(age(X, T), age(X, T0)))) | greater(internal_friction(X, T), internal_friction(X, T0))) <=> (greater(internal_friction(X, T), internal_friction(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0))))), (((~(organization(X) & greater(age(X, T), age(X, T0)))) | greater(internal_friction(X, T), internal_friction(X, T0))) <=> (greater(internal_friction(X, T), internal_friction(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0))))))),
% 0.21/0.46 inference(bind,[status(th)],[])).
% 0.21/0.46 tff(117,plain,
% 0.21/0.46 (![X: $i, T0: $i, T: $i] : ((~(organization(X) & greater(age(X, T), age(X, T0)))) | greater(internal_friction(X, T), internal_friction(X, T0))) <=> ![X: $i, T0: $i, T: $i] : (greater(internal_friction(X, T), internal_friction(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0))))),
% 0.21/0.46 inference(quant_intro,[status(thm)],[116])).
% 0.21/0.46 tff(118,plain,
% 0.21/0.46 (![X: $i, T0: $i, T: $i] : ((~(organization(X) & greater(age(X, T), age(X, T0)))) | greater(internal_friction(X, T), internal_friction(X, T0))) <=> ![X: $i, T0: $i, T: $i] : ((~(organization(X) & greater(age(X, T), age(X, T0)))) | greater(internal_friction(X, T), internal_friction(X, T0)))),
% 0.21/0.46 inference(rewrite,[status(thm)],[])).
% 0.21/0.46 tff(119,plain,
% 0.21/0.46 (^[X: $i, T0: $i, T: $i] : rewrite(((organization(X) & greater(age(X, T), age(X, T0))) => greater(internal_friction(X, T), internal_friction(X, T0))) <=> ((~(organization(X) & greater(age(X, T), age(X, T0)))) | greater(internal_friction(X, T), internal_friction(X, T0))))),
% 0.21/0.46 inference(bind,[status(th)],[])).
% 0.21/0.46 tff(120,plain,
% 0.21/0.46 (![X: $i, T0: $i, T: $i] : ((organization(X) & greater(age(X, T), age(X, T0))) => greater(internal_friction(X, T), internal_friction(X, T0))) <=> ![X: $i, T0: $i, T: $i] : ((~(organization(X) & greater(age(X, T), age(X, T0)))) | greater(internal_friction(X, T), internal_friction(X, T0)))),
% 0.21/0.46 inference(quant_intro,[status(thm)],[119])).
% 0.21/0.46 tff(121,axiom,(![X: $i, T0: $i, T: $i] : ((organization(X) & greater(age(X, T), age(X, T0))) => greater(internal_friction(X, T), internal_friction(X, T0)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','assumption_12')).
% 0.21/0.46 tff(122,plain,
% 0.21/0.46 (![X: $i, T0: $i, T: $i] : ((~(organization(X) & greater(age(X, T), age(X, T0)))) | greater(internal_friction(X, T), internal_friction(X, T0)))),
% 0.21/0.46 inference(modus_ponens,[status(thm)],[121, 120])).
% 0.21/0.46 tff(123,plain,
% 0.21/0.46 (![X: $i, T0: $i, T: $i] : ((~(organization(X) & greater(age(X, T), age(X, T0)))) | greater(internal_friction(X, T), internal_friction(X, T0)))),
% 0.21/0.46 inference(modus_ponens,[status(thm)],[122, 118])).
% 0.21/0.46 tff(124,plain,(
% 0.21/0.46 ![X: $i, T0: $i, T: $i] : ((~(organization(X) & greater(age(X, T), age(X, T0)))) | greater(internal_friction(X, T), internal_friction(X, T0)))),
% 0.21/0.46 inference(skolemize,[status(sab)],[123])).
% 0.21/0.46 tff(125,plain,
% 0.21/0.46 (![X: $i, T0: $i, T: $i] : (greater(internal_friction(X, T), internal_friction(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0))))),
% 0.21/0.46 inference(modus_ponens,[status(thm)],[124, 117])).
% 0.21/0.46 tff(126,plain,
% 0.21/0.46 (![X: $i, T0: $i, T: $i] : (greater(internal_friction(X, T), internal_friction(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0))))),
% 0.21/0.46 inference(modus_ponens,[status(thm)],[125, 115])).
% 0.21/0.46 tff(127,plain,
% 0.21/0.46 (((~![X: $i, T0: $i, T: $i] : (greater(internal_friction(X, T), internal_friction(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(internal_friction(X!5, T3!1), internal_friction(X!5, T2!2)))) <=> ((~![X: $i, T0: $i, T: $i] : (greater(internal_friction(X, T), internal_friction(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(internal_friction(X!5, T3!1), internal_friction(X!5, T2!2)))),
% 0.21/0.46 inference(rewrite,[status(thm)],[])).
% 0.21/0.46 tff(128,plain,
% 0.21/0.46 ((greater(internal_friction(X!5, T3!1), internal_friction(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(internal_friction(X!5, T3!1), internal_friction(X!5, T2!2)))),
% 0.21/0.46 inference(rewrite,[status(thm)],[])).
% 0.21/0.46 tff(129,plain,
% 0.21/0.46 (((~![X: $i, T0: $i, T: $i] : (greater(internal_friction(X, T), internal_friction(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0))))) | (greater(internal_friction(X!5, T3!1), internal_friction(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(internal_friction(X, T), internal_friction(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(internal_friction(X!5, T3!1), internal_friction(X!5, T2!2))))),
% 0.21/0.46 inference(monotonicity,[status(thm)],[128])).
% 0.21/0.46 tff(130,plain,
% 0.21/0.46 (((~![X: $i, T0: $i, T: $i] : (greater(internal_friction(X, T), internal_friction(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0))))) | (greater(internal_friction(X!5, T3!1), internal_friction(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(internal_friction(X, T), internal_friction(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(internal_friction(X!5, T3!1), internal_friction(X!5, T2!2)))),
% 0.21/0.46 inference(transitivity,[status(thm)],[129, 127])).
% 0.21/0.46 tff(131,plain,
% 0.21/0.46 ((~![X: $i, T0: $i, T: $i] : (greater(internal_friction(X, T), internal_friction(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0))))) | (greater(internal_friction(X!5, T3!1), internal_friction(X!5, T2!2)) | (~organization(X!5)) | (~greater(age(X!5, T3!1), age(X!5, T2!2))))),
% 0.21/0.46 inference(quant_inst,[status(thm)],[])).
% 0.21/0.46 tff(132,plain,
% 0.21/0.46 ((~![X: $i, T0: $i, T: $i] : (greater(internal_friction(X, T), internal_friction(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0))))) | (~greater(age(X!5, T3!1), age(X!5, T2!2))) | (~organization(X!5)) | greater(internal_friction(X!5, T3!1), internal_friction(X!5, T2!2))),
% 0.21/0.46 inference(modus_ponens,[status(thm)],[131, 130])).
% 0.21/0.46 tff(133,plain,
% 0.21/0.46 (greater(internal_friction(X!5, T3!1), internal_friction(X!5, T2!2))),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[132, 126, 11, 113])).
% 0.21/0.46 tff(134,assumption,(~smaller(capability(X!5, T3!1), capability(X!5, T2!2))), introduced(assumption)).
% 0.21/0.46 tff(135,plain,
% 0.21/0.46 ((~(smaller(capability(X!5, T3!1), capability(X!5, T2!2)) | (~smaller_or_equal(stock_of_knowledge(X!5, T3!1), stock_of_knowledge(X!5, T2!2))) | (~greater(internal_friction(X!5, T3!1), internal_friction(X!5, T2!2))))) | smaller(capability(X!5, T3!1), capability(X!5, T2!2)) | (~smaller_or_equal(stock_of_knowledge(X!5, T3!1), stock_of_knowledge(X!5, T2!2))) | (~greater(internal_friction(X!5, T3!1), internal_friction(X!5, T2!2)))),
% 0.21/0.46 inference(tautology,[status(thm)],[])).
% 0.21/0.46 tff(136,plain,
% 0.21/0.46 ((~(smaller(capability(X!5, T3!1), capability(X!5, T2!2)) | (~smaller_or_equal(stock_of_knowledge(X!5, T3!1), stock_of_knowledge(X!5, T2!2))) | (~greater(internal_friction(X!5, T3!1), internal_friction(X!5, T2!2))))) | (~smaller_or_equal(stock_of_knowledge(X!5, T3!1), stock_of_knowledge(X!5, T2!2))) | (~greater(internal_friction(X!5, T3!1), internal_friction(X!5, T2!2)))),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[135, 134])).
% 0.21/0.46 tff(137,plain,
% 0.21/0.46 ($false),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[136, 133, 112, 65])).
% 0.21/0.46 tff(138,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))))) | smaller(capability(X!5, T3!1), capability(X!5, T2!2))), inference(lemma,lemma(discharge,[]))).
% 0.21/0.46 tff(139,plain,
% 0.21/0.46 (smaller(capability(X!5, T3!1), capability(X!5, T2!2))),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[138, 64])).
% 0.21/0.46 tff(140,assumption,(~(smaller(capability(X!5, T3!1), capability(X!5, T2!2)) <=> greater(capability(X!5, T2!2), capability(X!5, T3!1)))), introduced(assumption)).
% 0.21/0.46 tff(141,plain,
% 0.21/0.46 (^[X: $i, Y: $i] : refl((smaller(X, Y) <=> greater(Y, X)) <=> (smaller(X, Y) <=> greater(Y, X)))),
% 0.21/0.46 inference(bind,[status(th)],[])).
% 0.21/0.46 tff(142,plain,
% 0.21/0.46 (![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X)) <=> ![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))),
% 0.21/0.46 inference(quant_intro,[status(thm)],[141])).
% 0.21/0.46 tff(143,plain,
% 0.21/0.46 (![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X)) <=> ![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))),
% 0.21/0.46 inference(rewrite,[status(thm)],[])).
% 0.21/0.46 tff(144,axiom,(![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))), file('/export/starexec/sandbox/benchmark/Axioms/MGT001+0.ax','definition_smaller')).
% 0.21/0.46 tff(145,plain,
% 0.21/0.46 (![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))),
% 0.21/0.46 inference(modus_ponens,[status(thm)],[144, 143])).
% 0.21/0.46 tff(146,plain,(
% 0.21/0.46 ![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))),
% 0.21/0.46 inference(skolemize,[status(sab)],[145])).
% 0.21/0.46 tff(147,plain,
% 0.21/0.46 (![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))),
% 0.21/0.46 inference(modus_ponens,[status(thm)],[146, 142])).
% 0.21/0.46 tff(148,plain,
% 0.21/0.46 ((~![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))) | (smaller(capability(X!5, T3!1), capability(X!5, T2!2)) <=> greater(capability(X!5, T2!2), capability(X!5, T3!1)))),
% 0.21/0.46 inference(quant_inst,[status(thm)],[])).
% 0.21/0.46 tff(149,plain,
% 0.21/0.46 ($false),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[148, 147, 140])).
% 0.21/0.46 tff(150,plain,(smaller(capability(X!5, T3!1), capability(X!5, T2!2)) <=> greater(capability(X!5, T2!2), capability(X!5, T3!1))), inference(lemma,lemma(discharge,[]))).
% 0.21/0.46 tff(151,plain,
% 0.21/0.46 ((~(smaller(capability(X!5, T3!1), capability(X!5, T2!2)) <=> greater(capability(X!5, T2!2), capability(X!5, T3!1)))) | (~smaller(capability(X!5, T3!1), capability(X!5, T2!2))) | greater(capability(X!5, T2!2), capability(X!5, T3!1))),
% 0.21/0.46 inference(tautology,[status(thm)],[])).
% 0.21/0.46 tff(152,plain,
% 0.21/0.46 ((~smaller(capability(X!5, T3!1), capability(X!5, T2!2))) | greater(capability(X!5, T2!2), capability(X!5, T3!1))),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[151, 150])).
% 0.21/0.46 tff(153,plain,
% 0.21/0.46 (greater(capability(X!5, T2!2), capability(X!5, T3!1))),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[152, 139])).
% 0.21/0.46 tff(154,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))) | (~((~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)))))))))))),
% 0.21/0.46 inference(bind,[status(th)],[])).
% 0.21/0.47 tff(155,plain,
% 0.21/0.47 (![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))))))))))),
% 0.21/0.47 inference(quant_intro,[status(thm)],[154])).
% 0.21/0.47 tff(156,plain,
% 0.21/0.47 (^[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)))))))))),
% 0.21/0.47 inference(bind,[status(th)],[])).
% 0.21/0.47 tff(157,plain,
% 0.21/0.47 (![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))))))))),
% 0.21/0.47 inference(quant_intro,[status(thm)],[156])).
% 0.21/0.47 tff(158,plain,
% 0.21/0.47 (^[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)))))))))),
% 0.21/0.47 inference(bind,[status(th)],[])).
% 0.21/0.47 tff(159,plain,
% 0.21/0.47 (![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))))))))),
% 0.21/0.47 inference(quant_intro,[status(thm)],[158])).
% 0.21/0.47 tff(160,plain,
% 0.21/0.47 (![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))))))))),
% 0.21/0.47 inference(transitivity,[status(thm)],[159, 157])).
% 0.21/0.47 tff(161,plain,
% 0.21/0.47 (^[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))))))))))),
% 0.21/0.47 inference(bind,[status(th)],[])).
% 0.21/0.47 tff(162,plain,
% 0.21/0.47 (![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))))))))),
% 0.21/0.47 inference(quant_intro,[status(thm)],[161])).
% 0.21/0.47 tff(163,plain,
% 0.21/0.47 (![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)))))),
% 0.21/0.47 inference(rewrite,[status(thm)],[])).
% 0.21/0.47 tff(164,plain,
% 0.21/0.47 (^[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))))))),
% 0.21/0.47 inference(bind,[status(th)],[])).
% 0.21/0.47 tff(165,plain,
% 0.21/0.47 (![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)))))),
% 0.21/0.47 inference(quant_intro,[status(thm)],[164])).
% 0.21/0.47 tff(166,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')).
% 0.21/0.47 tff(167,plain,
% 0.21/0.47 (![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)))))),
% 0.21/0.47 inference(modus_ponens,[status(thm)],[166, 165])).
% 0.21/0.47 tff(168,plain,
% 0.21/0.47 (![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)))))),
% 0.21/0.47 inference(modus_ponens,[status(thm)],[167, 163])).
% 0.21/0.47 tff(169,plain,(
% 0.21/0.47 ![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)))))))),
% 0.21/0.47 inference(skolemize,[status(sab)],[168])).
% 0.21/0.47 tff(170,plain,
% 0.21/0.47 (![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))))))))),
% 0.21/0.47 inference(modus_ponens,[status(thm)],[169, 162])).
% 0.21/0.47 tff(171,plain,
% 0.21/0.47 (![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))))))))),
% 0.21/0.47 inference(modus_ponens,[status(thm)],[170, 160])).
% 0.21/0.47 tff(172,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))))))))))),
% 0.21/0.47 inference(modus_ponens,[status(thm)],[171, 155])).
% 0.21/0.47 tff(173,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))))))))))) <=> ((~![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(rewrite,[status(thm)],[])).
% 0.21/0.47 tff(174,plain,
% 0.21/0.47 ((~((~(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))))))))))),
% 0.21/0.47 inference(rewrite,[status(thm)],[])).
% 0.21/0.47 tff(175,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)) | (~((~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)))))))))))),
% 0.21/0.48 inference(monotonicity,[status(thm)],[174])).
% 0.21/0.48 tff(176,plain,
% 0.21/0.48 (((~![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)))))))))))),
% 0.21/0.48 inference(transitivity,[status(thm)],[175, 173])).
% 0.21/0.48 tff(177,plain,
% 0.21/0.48 ((~![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))))))))))),
% 0.21/0.48 inference(quant_inst,[status(thm)],[])).
% 0.21/0.48 tff(178,plain,
% 0.21/0.48 ((~![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))))))))))),
% 0.21/0.48 inference(modus_ponens,[status(thm)],[177, 176])).
% 0.21/0.48 tff(179,plain,
% 0.21/0.48 (~((~(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)))))))))),
% 0.21/0.48 inference(unit_resolution,[status(thm)],[178, 172])).
% 0.21/0.48 tff(180,plain,
% 0.21/0.48 (((~(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)))))))),
% 0.21/0.48 inference(tautology,[status(thm)],[])).
% 0.21/0.48 tff(181,plain,
% 0.21/0.48 ((~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))))))),
% 0.21/0.48 inference(unit_resolution,[status(thm)],[180, 179])).
% 0.21/0.48 tff(182,plain,
% 0.21/0.48 (has_endowment(X!5)),
% 0.21/0.48 inference(and_elim,[status(thm)],[10])).
% 0.21/0.48 tff(183,plain,
% 0.21/0.48 ((~((~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))))))),
% 0.21/0.48 inference(tautology,[status(thm)],[])).
% 0.21/0.48 tff(184,plain,
% 0.21/0.48 ((~((~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))))))),
% 0.21/0.48 inference(unit_resolution,[status(thm)],[183, 182])).
% 0.21/0.48 tff(185,plain,
% 0.21/0.48 (![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))))))),
% 0.21/0.48 inference(unit_resolution,[status(thm)],[184, 181])).
% 0.21/0.48 tff(186,plain,
% 0.21/0.48 ((~![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))))))),
% 0.21/0.48 inference(quant_inst,[status(thm)],[])).
% 0.21/0.48 tff(187,plain,
% 0.21/0.48 (~((~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)))))),
% 0.21/0.48 inference(unit_resolution,[status(thm)],[186, 185])).
% 0.21/0.48 tff(188,plain,
% 0.21/0.48 (((~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)))),
% 0.21/0.48 inference(tautology,[status(thm)],[])).
% 0.21/0.48 tff(189,plain,
% 0.21/0.48 ((~has_immunity(X!5, T3!1)) | (~greater(age(X!5, T3!1), eta))),
% 0.21/0.48 inference(unit_resolution,[status(thm)],[188, 187])).
% 0.21/0.48 tff(190,plain,
% 0.21/0.48 (greater(age(X!5, T2!2), eta)),
% 0.21/0.48 inference(and_elim,[status(thm)],[10])).
% 0.21/0.48 tff(191,plain,
% 0.21/0.48 (![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)))),
% 0.21/0.48 inference(rewrite,[status(thm)],[])).
% 0.21/0.48 tff(192,plain,
% 0.21/0.48 (^[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)))))),
% 0.21/0.48 inference(bind,[status(th)],[])).
% 0.21/0.48 tff(193,plain,
% 0.21/0.48 (![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)))),
% 0.21/0.48 inference(quant_intro,[status(thm)],[192])).
% 0.21/0.48 tff(194,plain,
% 0.21/0.48 (![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))),
% 0.21/0.48 inference(rewrite,[status(thm)],[])).
% 0.21/0.48 tff(195,plain,
% 0.21/0.48 (^[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)))),
% 0.21/0.48 inference(bind,[status(th)],[])).
% 0.21/0.48 tff(196,plain,
% 0.21/0.48 (![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))),
% 0.21/0.48 inference(quant_intro,[status(thm)],[195])).
% 0.21/0.48 tff(197,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')).
% 0.21/0.48 tff(198,plain,
% 0.21/0.48 (![X: $i, Y: $i, Z: $i] : ((~(greater(X, Y) & greater(Y, Z))) | greater(X, Z))),
% 0.21/0.48 inference(modus_ponens,[status(thm)],[197, 196])).
% 0.21/0.48 tff(199,plain,
% 0.21/0.48 (![X: $i, Y: $i, Z: $i] : ((~(greater(X, Y) & greater(Y, Z))) | greater(X, Z))),
% 0.21/0.48 inference(modus_ponens,[status(thm)],[198, 194])).
% 0.21/0.48 tff(200,plain,(
% 0.21/0.48 ![X: $i, Y: $i, Z: $i] : ((~(greater(X, Y) & greater(Y, Z))) | greater(X, Z))),
% 0.21/0.48 inference(skolemize,[status(sab)],[199])).
% 0.21/0.48 tff(201,plain,
% 0.21/0.48 (![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))),
% 0.21/0.48 inference(modus_ponens,[status(thm)],[200, 193])).
% 0.21/0.48 tff(202,plain,
% 0.21/0.48 (![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))),
% 0.21/0.48 inference(modus_ponens,[status(thm)],[201, 191])).
% 0.21/0.48 tff(203,plain,
% 0.21/0.48 (((~![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))))),
% 0.21/0.48 inference(rewrite,[status(thm)],[])).
% 0.21/0.48 tff(204,plain,
% 0.21/0.48 ((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))))),
% 0.21/0.48 inference(rewrite,[status(thm)],[])).
% 0.21/0.48 tff(205,plain,
% 0.21/0.48 (((~![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)))))),
% 0.21/0.48 inference(monotonicity,[status(thm)],[204])).
% 0.21/0.48 tff(206,plain,
% 0.21/0.48 (((~![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))))),
% 0.21/0.48 inference(transitivity,[status(thm)],[205, 203])).
% 0.21/0.48 tff(207,plain,
% 0.21/0.48 ((~![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))))),
% 0.21/0.48 inference(quant_inst,[status(thm)],[])).
% 0.21/0.48 tff(208,plain,
% 0.21/0.48 ((~![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)))),
% 0.21/0.48 inference(modus_ponens,[status(thm)],[207, 206])).
% 0.21/0.48 tff(209,plain,
% 0.21/0.48 (greater(age(X!5, T3!1), eta)),
% 0.21/0.48 inference(unit_resolution,[status(thm)],[208, 202, 190, 113])).
% 0.21/0.48 tff(210,plain,
% 0.21/0.48 ((~((~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))),
% 0.21/0.48 inference(tautology,[status(thm)],[])).
% 0.21/0.48 tff(211,plain,
% 0.21/0.48 ((~((~has_immunity(X!5, T3!1)) | (~greater(age(X!5, T3!1), eta)))) | (~has_immunity(X!5, T3!1))),
% 0.21/0.48 inference(unit_resolution,[status(thm)],[210, 209])).
% 0.21/0.48 tff(212,plain,
% 0.21/0.48 (~has_immunity(X!5, T3!1)),
% 0.21/0.48 inference(unit_resolution,[status(thm)],[211, 189])).
% 0.21/0.48 tff(213,plain,
% 0.21/0.48 ((~![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))))))),
% 0.21/0.48 inference(quant_inst,[status(thm)],[])).
% 0.21/0.48 tff(214,plain,
% 0.21/0.48 (~((~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)))))),
% 0.21/0.48 inference(unit_resolution,[status(thm)],[213, 185])).
% 0.21/0.48 tff(215,plain,
% 0.21/0.48 (((~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)))),
% 0.21/0.48 inference(tautology,[status(thm)],[])).
% 0.21/0.48 tff(216,plain,
% 0.21/0.48 ((~has_immunity(X!5, T2!2)) | (~greater(age(X!5, T2!2), eta))),
% 0.21/0.48 inference(unit_resolution,[status(thm)],[215, 214])).
% 0.21/0.48 tff(217,plain,
% 0.21/0.48 ((~((~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))),
% 0.21/0.48 inference(tautology,[status(thm)],[])).
% 0.21/0.48 tff(218,plain,
% 0.21/0.48 ((~((~has_immunity(X!5, T2!2)) | (~greater(age(X!5, T2!2), eta)))) | (~has_immunity(X!5, T2!2))),
% 0.21/0.48 inference(unit_resolution,[status(thm)],[217, 190])).
% 0.21/0.48 tff(219,plain,
% 0.21/0.48 (~has_immunity(X!5, T2!2)),
% 0.21/0.48 inference(unit_resolution,[status(thm)],[218, 216])).
% 0.21/0.48 tff(220,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)))))))) <=> ![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(rewrite,[status(thm)],[])).
% 0.21/0.48 tff(221,plain,
% 0.21/0.48 (^[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)))))))))),
% 0.21/0.48 inference(bind,[status(th)],[])).
% 0.21/0.48 tff(222,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)))))))) <=> ![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)],[221])).
% 0.21/0.48 tff(223,plain,
% 0.21/0.48 (^[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))))))))))),
% 0.21/0.49 inference(bind,[status(th)],[])).
% 0.21/0.49 tff(224,plain,
% 0.21/0.49 (![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))))))))),
% 0.21/0.49 inference(quant_intro,[status(thm)],[223])).
% 0.21/0.49 tff(225,plain,
% 0.21/0.49 (![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)))))),
% 0.21/0.49 inference(rewrite,[status(thm)],[])).
% 0.21/0.49 tff(226,plain,
% 0.21/0.49 (^[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)))))))),
% 0.21/0.49 inference(bind,[status(th)],[])).
% 0.21/0.49 tff(227,plain,
% 0.21/0.49 (![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)))))),
% 0.21/0.49 inference(quant_intro,[status(thm)],[226])).
% 0.21/0.49 tff(228,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')).
% 0.21/0.49 tff(229,plain,
% 0.21/0.49 (![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)))))),
% 0.21/0.49 inference(modus_ponens,[status(thm)],[228, 227])).
% 0.21/0.49 tff(230,plain,
% 0.21/0.49 (![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)))))),
% 0.21/0.49 inference(modus_ponens,[status(thm)],[229, 225])).
% 0.21/0.49 tff(231,plain,(
% 0.21/0.49 ![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)))))),
% 0.21/0.49 inference(skolemize,[status(sab)],[230])).
% 0.21/0.49 tff(232,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))))))))),
% 0.21/0.49 inference(modus_ponens,[status(thm)],[231, 224])).
% 0.21/0.49 tff(233,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))))))))),
% 0.21/0.49 inference(modus_ponens,[status(thm)],[232, 222])).
% 0.21/0.49 tff(234,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))))))))),
% 0.21/0.49 inference(modus_ponens,[status(thm)],[233, 220])).
% 0.21/0.49 tff(235,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, T2!2), hazard_of_mortality(X!5, T3!1)) | (~greater_or_equal(capability(X!5, T2!2), capability(X!5, T3!1))) | (~greater(position(X!5, T2!2), position(X!5, T3!1))))) | (~((~(capability(X!5, T2!2) = capability(X!5, T3!1))) | (hazard_of_mortality(X!5, T2!2) = hazard_of_mortality(X!5, T3!1)) | (~(position(X!5, T2!2) = position(X!5, T3!1))))) | (~(smaller(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T3!1)) | (~greater_or_equal(position(X!5, T2!2), position(X!5, T3!1))) | (~greater(capability(X!5, T2!2), capability(X!5, T3!1))))))))) <=> ((~![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, T2!2), hazard_of_mortality(X!5, T3!1)) | (~greater_or_equal(capability(X!5, T2!2), capability(X!5, T3!1))) | (~greater(position(X!5, T2!2), position(X!5, T3!1))))) | (~((~(capability(X!5, T2!2) = capability(X!5, T3!1))) | (hazard_of_mortality(X!5, T2!2) = hazard_of_mortality(X!5, T3!1)) | (~(position(X!5, T2!2) = position(X!5, T3!1))))) | (~(smaller(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T3!1)) | (~greater_or_equal(position(X!5, T2!2), position(X!5, T3!1))) | (~greater(capability(X!5, T2!2), capability(X!5, T3!1))))))))),
% 0.21/0.49 inference(rewrite,[status(thm)],[])).
% 0.21/0.49 tff(236,plain,
% 0.21/0.49 ((has_immunity(X!5, T2!2) | has_immunity(X!5, T3!1) | (~organization(X!5)) | (~((~(smaller(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T3!1)) | (~greater_or_equal(capability(X!5, T2!2), capability(X!5, T3!1))) | (~greater(position(X!5, T2!2), position(X!5, T3!1))))) | (~((~(capability(X!5, T2!2) = capability(X!5, T3!1))) | (hazard_of_mortality(X!5, T2!2) = hazard_of_mortality(X!5, T3!1)) | (~(position(X!5, T2!2) = position(X!5, T3!1))))) | (~(smaller(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T3!1)) | (~greater_or_equal(position(X!5, T2!2), position(X!5, T3!1))) | (~greater(capability(X!5, T2!2), capability(X!5, T3!1)))))))) <=> ((~organization(X!5)) | has_immunity(X!5, T2!2) | has_immunity(X!5, T3!1) | (~((~(smaller(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T3!1)) | (~greater_or_equal(capability(X!5, T2!2), capability(X!5, T3!1))) | (~greater(position(X!5, T2!2), position(X!5, T3!1))))) | (~((~(capability(X!5, T2!2) = capability(X!5, T3!1))) | (hazard_of_mortality(X!5, T2!2) = hazard_of_mortality(X!5, T3!1)) | (~(position(X!5, T2!2) = position(X!5, T3!1))))) | (~(smaller(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T3!1)) | (~greater_or_equal(position(X!5, T2!2), position(X!5, T3!1))) | (~greater(capability(X!5, T2!2), capability(X!5, T3!1))))))))),
% 0.21/0.49 inference(rewrite,[status(thm)],[])).
% 0.21/0.49 tff(237,plain,
% 0.21/0.49 ((~((~(smaller(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T3!1)) | (~greater(capability(X!5, T2!2), capability(X!5, T3!1))) | (~greater_or_equal(position(X!5, T2!2), position(X!5, T3!1))))) | (~(smaller(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T3!1)) | (~greater_or_equal(capability(X!5, T2!2), capability(X!5, T3!1))) | (~greater(position(X!5, T2!2), position(X!5, T3!1))))) | (~((hazard_of_mortality(X!5, T2!2) = hazard_of_mortality(X!5, T3!1)) | (~(capability(X!5, T2!2) = capability(X!5, T3!1))) | (~(position(X!5, T2!2) = position(X!5, T3!1))))))) <=> (~((~(smaller(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T3!1)) | (~greater_or_equal(capability(X!5, T2!2), capability(X!5, T3!1))) | (~greater(position(X!5, T2!2), position(X!5, T3!1))))) | (~((~(capability(X!5, T2!2) = capability(X!5, T3!1))) | (hazard_of_mortality(X!5, T2!2) = hazard_of_mortality(X!5, T3!1)) | (~(position(X!5, T2!2) = position(X!5, T3!1))))) | (~(smaller(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T3!1)) | (~greater_or_equal(position(X!5, T2!2), position(X!5, T3!1))) | (~greater(capability(X!5, T2!2), capability(X!5, T3!1)))))))),
% 0.21/0.49 inference(rewrite,[status(thm)],[])).
% 0.21/0.49 tff(238,plain,
% 0.21/0.49 ((has_immunity(X!5, T2!2) | has_immunity(X!5, T3!1) | (~organization(X!5)) | (~((~(smaller(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T3!1)) | (~greater(capability(X!5, T2!2), capability(X!5, T3!1))) | (~greater_or_equal(position(X!5, T2!2), position(X!5, T3!1))))) | (~(smaller(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T3!1)) | (~greater_or_equal(capability(X!5, T2!2), capability(X!5, T3!1))) | (~greater(position(X!5, T2!2), position(X!5, T3!1))))) | (~((hazard_of_mortality(X!5, T2!2) = hazard_of_mortality(X!5, T3!1)) | (~(capability(X!5, T2!2) = capability(X!5, T3!1))) | (~(position(X!5, T2!2) = position(X!5, T3!1)))))))) <=> (has_immunity(X!5, T2!2) | has_immunity(X!5, T3!1) | (~organization(X!5)) | (~((~(smaller(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T3!1)) | (~greater_or_equal(capability(X!5, T2!2), capability(X!5, T3!1))) | (~greater(position(X!5, T2!2), position(X!5, T3!1))))) | (~((~(capability(X!5, T2!2) = capability(X!5, T3!1))) | (hazard_of_mortality(X!5, T2!2) = hazard_of_mortality(X!5, T3!1)) | (~(position(X!5, T2!2) = position(X!5, T3!1))))) | (~(smaller(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T3!1)) | (~greater_or_equal(position(X!5, T2!2), position(X!5, T3!1))) | (~greater(capability(X!5, T2!2), capability(X!5, T3!1))))))))),
% 0.21/0.50 inference(monotonicity,[status(thm)],[237])).
% 0.21/0.50 tff(239,plain,
% 0.21/0.50 ((has_immunity(X!5, T2!2) | has_immunity(X!5, T3!1) | (~organization(X!5)) | (~((~(smaller(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T3!1)) | (~greater(capability(X!5, T2!2), capability(X!5, T3!1))) | (~greater_or_equal(position(X!5, T2!2), position(X!5, T3!1))))) | (~(smaller(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T3!1)) | (~greater_or_equal(capability(X!5, T2!2), capability(X!5, T3!1))) | (~greater(position(X!5, T2!2), position(X!5, T3!1))))) | (~((hazard_of_mortality(X!5, T2!2) = hazard_of_mortality(X!5, T3!1)) | (~(capability(X!5, T2!2) = capability(X!5, T3!1))) | (~(position(X!5, T2!2) = position(X!5, T3!1)))))))) <=> ((~organization(X!5)) | has_immunity(X!5, T2!2) | has_immunity(X!5, T3!1) | (~((~(smaller(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T3!1)) | (~greater_or_equal(capability(X!5, T2!2), capability(X!5, T3!1))) | (~greater(position(X!5, T2!2), position(X!5, T3!1))))) | (~((~(capability(X!5, T2!2) = capability(X!5, T3!1))) | (hazard_of_mortality(X!5, T2!2) = hazard_of_mortality(X!5, T3!1)) | (~(position(X!5, T2!2) = position(X!5, T3!1))))) | (~(smaller(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T3!1)) | (~greater_or_equal(position(X!5, T2!2), position(X!5, T3!1))) | (~greater(capability(X!5, T2!2), capability(X!5, T3!1))))))))),
% 0.21/0.50 inference(transitivity,[status(thm)],[238, 236])).
% 0.21/0.50 tff(240,plain,
% 0.21/0.50 (((~![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, T2!2) | has_immunity(X!5, T3!1) | (~organization(X!5)) | (~((~(smaller(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T3!1)) | (~greater(capability(X!5, T2!2), capability(X!5, T3!1))) | (~greater_or_equal(position(X!5, T2!2), position(X!5, T3!1))))) | (~(smaller(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T3!1)) | (~greater_or_equal(capability(X!5, T2!2), capability(X!5, T3!1))) | (~greater(position(X!5, T2!2), position(X!5, T3!1))))) | (~((hazard_of_mortality(X!5, T2!2) = hazard_of_mortality(X!5, T3!1)) | (~(capability(X!5, T2!2) = capability(X!5, T3!1))) | (~(position(X!5, T2!2) = position(X!5, T3!1))))))))) <=> ((~![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, T2!2), hazard_of_mortality(X!5, T3!1)) | (~greater_or_equal(capability(X!5, T2!2), capability(X!5, T3!1))) | (~greater(position(X!5, T2!2), position(X!5, T3!1))))) | (~((~(capability(X!5, T2!2) = capability(X!5, T3!1))) | (hazard_of_mortality(X!5, T2!2) = hazard_of_mortality(X!5, T3!1)) | (~(position(X!5, T2!2) = position(X!5, T3!1))))) | (~(smaller(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T3!1)) | (~greater_or_equal(position(X!5, T2!2), position(X!5, T3!1))) | (~greater(capability(X!5, T2!2), capability(X!5, T3!1)))))))))),
% 0.21/0.50 inference(monotonicity,[status(thm)],[239])).
% 0.21/0.50 tff(241,plain,
% 0.21/0.50 (((~![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, T2!2) | has_immunity(X!5, T3!1) | (~organization(X!5)) | (~((~(smaller(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T3!1)) | (~greater(capability(X!5, T2!2), capability(X!5, T3!1))) | (~greater_or_equal(position(X!5, T2!2), position(X!5, T3!1))))) | (~(smaller(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T3!1)) | (~greater_or_equal(capability(X!5, T2!2), capability(X!5, T3!1))) | (~greater(position(X!5, T2!2), position(X!5, T3!1))))) | (~((hazard_of_mortality(X!5, T2!2) = hazard_of_mortality(X!5, T3!1)) | (~(capability(X!5, T2!2) = capability(X!5, T3!1))) | (~(position(X!5, T2!2) = position(X!5, T3!1))))))))) <=> ((~![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, T2!2), hazard_of_mortality(X!5, T3!1)) | (~greater_or_equal(capability(X!5, T2!2), capability(X!5, T3!1))) | (~greater(position(X!5, T2!2), position(X!5, T3!1))))) | (~((~(capability(X!5, T2!2) = capability(X!5, T3!1))) | (hazard_of_mortality(X!5, T2!2) = hazard_of_mortality(X!5, T3!1)) | (~(position(X!5, T2!2) = position(X!5, T3!1))))) | (~(smaller(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T3!1)) | (~greater_or_equal(position(X!5, T2!2), position(X!5, T3!1))) | (~greater(capability(X!5, T2!2), capability(X!5, T3!1))))))))),
% 0.21/0.50 inference(transitivity,[status(thm)],[240, 235])).
% 0.21/0.50 tff(242,plain,
% 0.21/0.50 ((~![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, T2!2) | has_immunity(X!5, T3!1) | (~organization(X!5)) | (~((~(smaller(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T3!1)) | (~greater(capability(X!5, T2!2), capability(X!5, T3!1))) | (~greater_or_equal(position(X!5, T2!2), position(X!5, T3!1))))) | (~(smaller(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T3!1)) | (~greater_or_equal(capability(X!5, T2!2), capability(X!5, T3!1))) | (~greater(position(X!5, T2!2), position(X!5, T3!1))))) | (~((hazard_of_mortality(X!5, T2!2) = hazard_of_mortality(X!5, T3!1)) | (~(capability(X!5, T2!2) = capability(X!5, T3!1))) | (~(position(X!5, T2!2) = position(X!5, T3!1))))))))),
% 0.21/0.50 inference(quant_inst,[status(thm)],[])).
% 0.21/0.50 tff(243,plain,
% 0.21/0.50 ((~![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, T2!2), hazard_of_mortality(X!5, T3!1)) | (~greater_or_equal(capability(X!5, T2!2), capability(X!5, T3!1))) | (~greater(position(X!5, T2!2), position(X!5, T3!1))))) | (~((~(capability(X!5, T2!2) = capability(X!5, T3!1))) | (hazard_of_mortality(X!5, T2!2) = hazard_of_mortality(X!5, T3!1)) | (~(position(X!5, T2!2) = position(X!5, T3!1))))) | (~(smaller(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T3!1)) | (~greater_or_equal(position(X!5, T2!2), position(X!5, T3!1))) | (~greater(capability(X!5, T2!2), capability(X!5, T3!1)))))))),
% 0.21/0.50 inference(modus_ponens,[status(thm)],[242, 241])).
% 0.21/0.50 tff(244,plain,
% 0.21/0.50 (~((~(smaller(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T3!1)) | (~greater_or_equal(capability(X!5, T2!2), capability(X!5, T3!1))) | (~greater(position(X!5, T2!2), position(X!5, T3!1))))) | (~((~(capability(X!5, T2!2) = capability(X!5, T3!1))) | (hazard_of_mortality(X!5, T2!2) = hazard_of_mortality(X!5, T3!1)) | (~(position(X!5, T2!2) = position(X!5, T3!1))))) | (~(smaller(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T3!1)) | (~greater_or_equal(position(X!5, T2!2), position(X!5, T3!1))) | (~greater(capability(X!5, T2!2), capability(X!5, T3!1))))))),
% 0.21/0.50 inference(unit_resolution,[status(thm)],[243, 234, 11, 219, 212])).
% 0.21/0.50 tff(245,plain,
% 0.21/0.50 (((~(smaller(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T3!1)) | (~greater_or_equal(capability(X!5, T2!2), capability(X!5, T3!1))) | (~greater(position(X!5, T2!2), position(X!5, T3!1))))) | (~((~(capability(X!5, T2!2) = capability(X!5, T3!1))) | (hazard_of_mortality(X!5, T2!2) = hazard_of_mortality(X!5, T3!1)) | (~(position(X!5, T2!2) = position(X!5, T3!1))))) | (~(smaller(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T3!1)) | (~greater_or_equal(position(X!5, T2!2), position(X!5, T3!1))) | (~greater(capability(X!5, T2!2), capability(X!5, T3!1)))))) | (smaller(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T3!1)) | (~greater_or_equal(position(X!5, T2!2), position(X!5, T3!1))) | (~greater(capability(X!5, T2!2), capability(X!5, T3!1))))),
% 0.21/0.50 inference(tautology,[status(thm)],[])).
% 0.21/0.50 tff(246,plain,
% 0.21/0.50 (smaller(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T3!1)) | (~greater_or_equal(position(X!5, T2!2), position(X!5, T3!1))) | (~greater(capability(X!5, T2!2), capability(X!5, T3!1)))),
% 0.21/0.50 inference(unit_resolution,[status(thm)],[245, 244])).
% 0.21/0.50 tff(247,plain,
% 0.21/0.50 ((~![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))) | (smaller(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, T2!2)))),
% 0.21/0.50 inference(quant_inst,[status(thm)],[])).
% 0.21/0.50 tff(248,plain,
% 0.21/0.50 (smaller(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, T2!2))),
% 0.21/0.50 inference(unit_resolution,[status(thm)],[247, 147])).
% 0.21/0.50 tff(249,plain,
% 0.21/0.50 ((~![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))))))),
% 0.21/0.50 inference(quant_inst,[status(thm)],[])).
% 0.21/0.50 tff(250,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)))))),
% 0.21/0.50 inference(unit_resolution,[status(thm)],[249, 185])).
% 0.21/0.50 tff(251,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))))) | ((~smaller_or_equal(age(X!5, T1!3), eta)) | has_immunity(X!5, T1!3))),
% 0.21/0.50 inference(tautology,[status(thm)],[])).
% 0.21/0.50 tff(252,plain,
% 0.21/0.50 ((~smaller_or_equal(age(X!5, T1!3), eta)) | has_immunity(X!5, T1!3)),
% 0.21/0.50 inference(unit_resolution,[status(thm)],[251, 250])).
% 0.21/0.50 tff(253,plain,
% 0.21/0.50 (smaller_or_equal(age(X!5, T1!3), eta)),
% 0.21/0.50 inference(and_elim,[status(thm)],[10])).
% 0.21/0.50 tff(254,plain,
% 0.21/0.50 ((~((~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)),
% 0.21/0.50 inference(tautology,[status(thm)],[])).
% 0.21/0.50 tff(255,plain,
% 0.21/0.50 ((~((~smaller_or_equal(age(X!5, T1!3), eta)) | has_immunity(X!5, T1!3))) | has_immunity(X!5, T1!3)),
% 0.21/0.50 inference(unit_resolution,[status(thm)],[254, 253])).
% 0.21/0.50 tff(256,plain,
% 0.21/0.50 (has_immunity(X!5, T1!3)),
% 0.21/0.50 inference(unit_resolution,[status(thm)],[255, 252])).
% 0.21/0.50 tff(257,assumption,(~greater(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T1!3))), introduced(assumption)).
% 0.21/0.50 tff(258,plain,
% 0.21/0.50 (^[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))))),
% 0.21/0.50 inference(bind,[status(th)],[])).
% 0.21/0.50 tff(259,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))) <=> ![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)],[258])).
% 0.21/0.50 tff(260,plain,
% 0.21/0.50 (^[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)))))),
% 0.21/0.51 inference(bind,[status(th)],[])).
% 0.21/0.51 tff(261,plain,
% 0.21/0.51 (![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)))),
% 0.21/0.51 inference(quant_intro,[status(thm)],[260])).
% 0.21/0.51 tff(262,plain,
% 0.21/0.51 (![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)))),
% 0.21/0.51 inference(rewrite,[status(thm)],[])).
% 0.21/0.51 tff(263,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))) => 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)))))),
% 0.21/0.51 inference(bind,[status(th)],[])).
% 0.21/0.51 tff(264,plain,
% 0.21/0.51 (![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)))),
% 0.21/0.51 inference(quant_intro,[status(thm)],[263])).
% 0.21/0.51 tff(265,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')).
% 0.21/0.51 tff(266,plain,
% 0.21/0.51 (![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)))),
% 0.21/0.51 inference(modus_ponens,[status(thm)],[265, 264])).
% 0.21/0.51 tff(267,plain,
% 0.21/0.51 (![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)))),
% 0.21/0.51 inference(modus_ponens,[status(thm)],[266, 262])).
% 0.21/0.51 tff(268,plain,(
% 0.21/0.51 ![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)))),
% 0.21/0.51 inference(skolemize,[status(sab)],[267])).
% 0.21/0.51 tff(269,plain,
% 0.21/0.51 (![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)))),
% 0.21/0.51 inference(modus_ponens,[status(thm)],[268, 261])).
% 0.21/0.51 tff(270,plain,
% 0.21/0.51 (![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)))),
% 0.21/0.51 inference(modus_ponens,[status(thm)],[269, 259])).
% 0.21/0.51 tff(271,plain,
% 0.21/0.51 (((~![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, T2!2), hazard_of_mortality(X!5, T1!3)) | (~organization(X!5)) | (~has_immunity(X!5, T1!3)) | has_immunity(X!5, T2!2))) <=> ((~![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, T2!2), hazard_of_mortality(X!5, T1!3)) | (~organization(X!5)) | (~has_immunity(X!5, T1!3)) | has_immunity(X!5, T2!2))),
% 0.21/0.51 inference(rewrite,[status(thm)],[])).
% 0.21/0.51 tff(272,plain,
% 0.21/0.51 ((has_immunity(X!5, T2!2) | greater(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T1!3)) | (~has_immunity(X!5, T1!3)) | (~organization(X!5))) <=> (greater(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T1!3)) | (~organization(X!5)) | (~has_immunity(X!5, T1!3)) | has_immunity(X!5, T2!2))),
% 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] : (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, T2!2) | greater(hazard_of_mortality(X!5, T2!2), 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, T2!2), hazard_of_mortality(X!5, T1!3)) | (~organization(X!5)) | (~has_immunity(X!5, T1!3)) | has_immunity(X!5, T2!2)))),
% 0.21/0.51 inference(monotonicity,[status(thm)],[272])).
% 0.21/0.51 tff(274,plain,
% 0.21/0.51 (((~![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, T2!2) | greater(hazard_of_mortality(X!5, T2!2), 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, T2!2), hazard_of_mortality(X!5, T1!3)) | (~organization(X!5)) | (~has_immunity(X!5, T1!3)) | has_immunity(X!5, T2!2))),
% 0.21/0.51 inference(transitivity,[status(thm)],[273, 271])).
% 0.21/0.51 tff(275,plain,
% 0.21/0.51 ((~![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, T2!2) | greater(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T1!3)) | (~has_immunity(X!5, T1!3)) | (~organization(X!5)))),
% 0.21/0.51 inference(quant_inst,[status(thm)],[])).
% 0.21/0.51 tff(276,plain,
% 0.21/0.51 ((~![X: $i, T0: $i, T: $i] : (has_immunity(X, T) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~has_immunity(X, T0)) | (~organization(X)))) | greater(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T1!3)) | (~organization(X!5)) | (~has_immunity(X!5, T1!3)) | has_immunity(X!5, T2!2)),
% 0.21/0.51 inference(modus_ponens,[status(thm)],[275, 274])).
% 0.21/0.51 tff(277,plain,
% 0.21/0.51 ($false),
% 0.21/0.51 inference(unit_resolution,[status(thm)],[276, 270, 11, 257, 256, 219])).
% 0.21/0.51 tff(278,plain,(greater(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T1!3))), inference(lemma,lemma(discharge,[]))).
% 0.21/0.51 tff(279,plain,
% 0.21/0.51 ((~![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))) | (smaller(age(X!5, T0!4), age(X!5, T1!3)) <=> greater(age(X!5, T1!3), age(X!5, T0!4)))),
% 0.21/0.51 inference(quant_inst,[status(thm)],[])).
% 0.21/0.51 tff(280,plain,
% 0.21/0.51 (smaller(age(X!5, T0!4), age(X!5, T1!3)) <=> greater(age(X!5, T1!3), age(X!5, T0!4))),
% 0.21/0.51 inference(unit_resolution,[status(thm)],[279, 147])).
% 0.21/0.51 tff(281,assumption,(~smaller_or_equal(age(X!5, T0!4), eta)), introduced(assumption)).
% 0.21/0.51 tff(282,assumption,(age(X!5, T0!4) = age(X!5, T1!3)), introduced(assumption)).
% 0.21/0.51 tff(283,plain,
% 0.21/0.51 (smaller_or_equal(age(X!5, T0!4), eta) <=> smaller_or_equal(age(X!5, T1!3), eta)),
% 0.21/0.51 inference(monotonicity,[status(thm)],[282])).
% 0.21/0.51 tff(284,plain,
% 0.21/0.51 (smaller_or_equal(age(X!5, T1!3), eta) <=> smaller_or_equal(age(X!5, T0!4), eta)),
% 0.21/0.51 inference(symmetry,[status(thm)],[283])).
% 0.21/0.51 tff(285,plain,
% 0.21/0.51 (smaller_or_equal(age(X!5, T0!4), eta)),
% 0.21/0.51 inference(modus_ponens,[status(thm)],[253, 284])).
% 0.21/0.51 tff(286,plain,
% 0.21/0.51 ($false),
% 0.21/0.51 inference(unit_resolution,[status(thm)],[281, 285])).
% 0.21/0.51 tff(287,plain,((~(age(X!5, T0!4) = age(X!5, T1!3))) | smaller_or_equal(age(X!5, T0!4), eta)), inference(lemma,lemma(discharge,[]))).
% 0.21/0.51 tff(288,plain,
% 0.21/0.51 (~(age(X!5, T0!4) = age(X!5, T1!3))),
% 0.21/0.51 inference(unit_resolution,[status(thm)],[287, 281])).
% 0.21/0.51 tff(289,plain,
% 0.21/0.51 ((~![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))))),
% 0.21/0.51 inference(quant_inst,[status(thm)],[])).
% 0.21/0.51 tff(290,plain,
% 0.21/0.51 (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)))),
% 0.21/0.51 inference(unit_resolution,[status(thm)],[289, 96])).
% 0.21/0.51 tff(291,plain,
% 0.21/0.51 (smaller_or_equal(age(X!5, T0!4), age(X!5, T1!3))),
% 0.21/0.51 inference(and_elim,[status(thm)],[10])).
% 0.21/0.51 tff(292,plain,
% 0.21/0.51 ((~(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)))),
% 0.21/0.51 inference(tautology,[status(thm)],[])).
% 0.21/0.51 tff(293,plain,
% 0.21/0.51 ((~(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)))),
% 0.21/0.51 inference(unit_resolution,[status(thm)],[292, 291])).
% 0.21/0.51 tff(294,plain,
% 0.21/0.51 ((age(X!5, T0!4) = age(X!5, T1!3)) | smaller(age(X!5, T0!4), age(X!5, T1!3))),
% 0.21/0.51 inference(unit_resolution,[status(thm)],[293, 290])).
% 0.21/0.51 tff(295,plain,
% 0.21/0.51 ((~((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))),
% 0.21/0.51 inference(tautology,[status(thm)],[])).
% 0.21/0.51 tff(296,plain,
% 0.21/0.51 ((age(X!5, T0!4) = age(X!5, T1!3)) | smaller(age(X!5, T0!4), age(X!5, T1!3))),
% 0.21/0.51 inference(unit_resolution,[status(thm)],[295, 294])).
% 0.21/0.51 tff(297,plain,
% 0.21/0.51 (smaller(age(X!5, T0!4), age(X!5, T1!3))),
% 0.21/0.51 inference(unit_resolution,[status(thm)],[296, 288])).
% 0.21/0.51 tff(298,plain,
% 0.21/0.51 ((~(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))),
% 0.21/0.51 inference(tautology,[status(thm)],[])).
% 0.21/0.51 tff(299,plain,
% 0.21/0.51 ((~(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))),
% 0.21/0.51 inference(unit_resolution,[status(thm)],[298, 297])).
% 0.21/0.51 tff(300,plain,
% 0.21/0.51 (greater(age(X!5, T1!3), age(X!5, T0!4))),
% 0.21/0.51 inference(unit_resolution,[status(thm)],[299, 280])).
% 0.21/0.51 tff(301,plain,
% 0.21/0.51 (((~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)))),
% 0.21/0.51 inference(tautology,[status(thm)],[])).
% 0.21/0.51 tff(302,plain,
% 0.21/0.51 ((~has_immunity(X!5, T1!3)) | (~greater(age(X!5, T1!3), eta))),
% 0.21/0.51 inference(unit_resolution,[status(thm)],[301, 250])).
% 0.21/0.51 tff(303,plain,
% 0.21/0.51 ((~((~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))),
% 0.21/0.51 inference(tautology,[status(thm)],[])).
% 0.21/0.51 tff(304,plain,
% 0.21/0.51 (~greater(age(X!5, T1!3), eta)),
% 0.21/0.51 inference(unit_resolution,[status(thm)],[303, 256, 302])).
% 0.21/0.51 tff(305,plain,
% 0.21/0.51 ((~![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)))),
% 0.21/0.51 inference(quant_inst,[status(thm)],[])).
% 0.21/0.51 tff(306,plain,
% 0.21/0.51 (smaller_or_equal(age(X!5, T0!4), eta) <=> ((age(X!5, T0!4) = eta) | smaller(age(X!5, T0!4), eta))),
% 0.21/0.51 inference(unit_resolution,[status(thm)],[305, 96])).
% 0.21/0.51 tff(307,plain,
% 0.21/0.51 ((~(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)))),
% 0.21/0.51 inference(tautology,[status(thm)],[])).
% 0.21/0.51 tff(308,plain,
% 0.21/0.51 ((~(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)))),
% 0.21/0.51 inference(unit_resolution,[status(thm)],[307, 281])).
% 0.21/0.51 tff(309,plain,
% 0.21/0.51 (~((age(X!5, T0!4) = eta) | smaller(age(X!5, T0!4), eta))),
% 0.21/0.51 inference(unit_resolution,[status(thm)],[308, 306])).
% 0.21/0.51 tff(310,plain,
% 0.21/0.51 (((age(X!5, T0!4) = eta) | smaller(age(X!5, T0!4), eta)) | (~smaller(age(X!5, T0!4), eta))),
% 0.21/0.51 inference(tautology,[status(thm)],[])).
% 0.21/0.51 tff(311,plain,
% 0.21/0.51 (~smaller(age(X!5, T0!4), eta)),
% 0.21/0.51 inference(unit_resolution,[status(thm)],[310, 309])).
% 0.21/0.51 tff(312,plain,
% 0.21/0.51 (((age(X!5, T0!4) = eta) | smaller(age(X!5, T0!4), eta)) | (~(age(X!5, T0!4) = eta))),
% 0.21/0.51 inference(tautology,[status(thm)],[])).
% 0.21/0.51 tff(313,plain,
% 0.21/0.51 (~(age(X!5, T0!4) = eta)),
% 0.21/0.51 inference(unit_resolution,[status(thm)],[312, 309])).
% 0.21/0.51 tff(314,plain,
% 0.21/0.51 (^[X: $i, Y: $i] : refl(((X = Y) | smaller(X, Y) | greater(X, Y)) <=> ((X = Y) | smaller(X, Y) | greater(X, Y)))),
% 0.21/0.51 inference(bind,[status(th)],[])).
% 0.21/0.51 tff(315,plain,
% 0.21/0.51 (![X: $i, Y: $i] : ((X = Y) | smaller(X, Y) | greater(X, Y)) <=> ![X: $i, Y: $i] : ((X = Y) | smaller(X, Y) | greater(X, Y))),
% 0.21/0.51 inference(quant_intro,[status(thm)],[314])).
% 0.21/0.51 tff(316,plain,
% 0.21/0.51 (![X: $i, Y: $i] : ((X = Y) | smaller(X, Y) | greater(X, Y)) <=> ![X: $i, Y: $i] : ((X = Y) | smaller(X, Y) | greater(X, Y))),
% 0.21/0.51 inference(rewrite,[status(thm)],[])).
% 0.21/0.51 tff(317,plain,
% 0.21/0.51 (^[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))))),
% 0.21/0.51 inference(bind,[status(th)],[])).
% 0.21/0.51 tff(318,plain,
% 0.21/0.51 (![X: $i, Y: $i] : ((smaller(X, Y) | (X = Y)) | greater(X, Y)) <=> ![X: $i, Y: $i] : ((X = Y) | smaller(X, Y) | greater(X, Y))),
% 0.21/0.51 inference(quant_intro,[status(thm)],[317])).
% 0.21/0.51 tff(319,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')).
% 0.21/0.51 tff(320,plain,
% 0.21/0.51 (![X: $i, Y: $i] : ((X = Y) | smaller(X, Y) | greater(X, Y))),
% 0.21/0.51 inference(modus_ponens,[status(thm)],[319, 318])).
% 0.21/0.51 tff(321,plain,
% 0.21/0.51 (![X: $i, Y: $i] : ((X = Y) | smaller(X, Y) | greater(X, Y))),
% 0.21/0.51 inference(modus_ponens,[status(thm)],[320, 316])).
% 0.21/0.51 tff(322,plain,(
% 0.21/0.51 ![X: $i, Y: $i] : ((X = Y) | smaller(X, Y) | greater(X, Y))),
% 0.21/0.51 inference(skolemize,[status(sab)],[321])).
% 0.21/0.51 tff(323,plain,
% 0.21/0.51 (![X: $i, Y: $i] : ((X = Y) | smaller(X, Y) | greater(X, Y))),
% 0.21/0.51 inference(modus_ponens,[status(thm)],[322, 315])).
% 0.21/0.51 tff(324,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))) <=> ((~![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(325,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(326,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)))),
% 0.21/0.52 inference(monotonicity,[status(thm)],[325])).
% 0.21/0.52 tff(327,plain,
% 0.21/0.52 (((~![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))),
% 0.21/0.52 inference(transitivity,[status(thm)],[326, 324])).
% 0.21/0.52 tff(328,plain,
% 0.21/0.52 ((~![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))),
% 0.21/0.52 inference(quant_inst,[status(thm)],[])).
% 0.21/0.52 tff(329,plain,
% 0.21/0.52 ((~![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)),
% 0.21/0.52 inference(modus_ponens,[status(thm)],[328, 327])).
% 0.21/0.52 tff(330,plain,
% 0.21/0.52 (greater(age(X!5, T0!4), eta)),
% 0.21/0.52 inference(unit_resolution,[status(thm)],[329, 323, 313, 311])).
% 0.21/0.52 tff(331,plain,
% 0.21/0.52 (((~![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))))),
% 0.21/0.52 inference(rewrite,[status(thm)],[])).
% 0.21/0.52 tff(332,plain,
% 0.21/0.52 ((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))))),
% 0.21/0.52 inference(rewrite,[status(thm)],[])).
% 0.21/0.52 tff(333,plain,
% 0.21/0.52 (((~![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)))))),
% 0.21/0.52 inference(monotonicity,[status(thm)],[332])).
% 0.21/0.52 tff(334,plain,
% 0.21/0.52 (((~![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))))),
% 0.21/0.52 inference(transitivity,[status(thm)],[333, 331])).
% 0.21/0.52 tff(335,plain,
% 0.21/0.52 ((~![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))))),
% 0.21/0.52 inference(quant_inst,[status(thm)],[])).
% 0.21/0.52 tff(336,plain,
% 0.21/0.52 ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (~greater(age(X!5, T0!4), eta)) | greater(age(X!5, T1!3), eta) | (~greater(age(X!5, T1!3), age(X!5, T0!4)))),
% 0.21/0.52 inference(modus_ponens,[status(thm)],[335, 334])).
% 0.21/0.52 tff(337,plain,
% 0.21/0.52 ($false),
% 0.21/0.52 inference(unit_resolution,[status(thm)],[336, 202, 330, 304, 300])).
% 0.21/0.52 tff(338,plain,(smaller_or_equal(age(X!5, T0!4), eta)), inference(lemma,lemma(discharge,[]))).
% 0.21/0.52 tff(339,plain,
% 0.21/0.52 ((~![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))))))),
% 0.21/0.52 inference(quant_inst,[status(thm)],[])).
% 0.21/0.52 tff(340,plain,
% 0.21/0.52 (~((~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)))))),
% 0.21/0.52 inference(unit_resolution,[status(thm)],[339, 185])).
% 0.21/0.52 tff(341,plain,
% 0.21/0.52 (((~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))),
% 0.21/0.52 inference(tautology,[status(thm)],[])).
% 0.21/0.52 tff(342,plain,
% 0.21/0.52 ((~smaller_or_equal(age(X!5, T0!4), eta)) | has_immunity(X!5, T0!4)),
% 0.21/0.52 inference(unit_resolution,[status(thm)],[341, 340])).
% 0.21/0.52 tff(343,plain,
% 0.21/0.52 ((~((~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)),
% 0.21/0.52 inference(tautology,[status(thm)],[])).
% 0.21/0.52 tff(344,plain,
% 0.21/0.52 ((~smaller_or_equal(age(X!5, T0!4), eta)) | has_immunity(X!5, T0!4)),
% 0.21/0.52 inference(unit_resolution,[status(thm)],[343, 342])).
% 0.21/0.52 tff(345,plain,
% 0.21/0.52 (has_immunity(X!5, T0!4)),
% 0.21/0.52 inference(unit_resolution,[status(thm)],[344, 338])).
% 0.21/0.52 tff(346,assumption,(~(hazard_of_mortality(X!5, T1!3) = hazard_of_mortality(X!5, T0!4))), introduced(assumption)).
% 0.21/0.52 tff(347,plain,
% 0.21/0.52 (^[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))))),
% 0.21/0.52 inference(bind,[status(th)],[])).
% 0.21/0.52 tff(348,plain,
% 0.21/0.52 (![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)))),
% 0.21/0.52 inference(quant_intro,[status(thm)],[347])).
% 0.21/0.52 tff(349,plain,
% 0.21/0.52 (^[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)))))),
% 0.21/0.52 inference(bind,[status(th)],[])).
% 0.21/0.52 tff(350,plain,
% 0.21/0.52 (![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)))),
% 0.21/0.52 inference(quant_intro,[status(thm)],[349])).
% 0.21/0.52 tff(351,plain,
% 0.21/0.52 (![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)))),
% 0.21/0.52 inference(rewrite,[status(thm)],[])).
% 0.21/0.52 tff(352,plain,
% 0.21/0.52 (^[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)))))),
% 0.21/0.52 inference(bind,[status(th)],[])).
% 0.21/0.52 tff(353,plain,
% 0.21/0.52 (![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)))),
% 0.21/0.52 inference(quant_intro,[status(thm)],[352])).
% 0.21/0.52 tff(354,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')).
% 0.21/0.52 tff(355,plain,
% 0.21/0.52 (![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)))),
% 0.21/0.52 inference(modus_ponens,[status(thm)],[354, 353])).
% 0.21/0.52 tff(356,plain,
% 0.21/0.52 (![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)))),
% 0.21/0.52 inference(modus_ponens,[status(thm)],[355, 351])).
% 0.21/0.52 tff(357,plain,(
% 0.21/0.52 ![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)))),
% 0.21/0.52 inference(skolemize,[status(sab)],[356])).
% 0.21/0.52 tff(358,plain,
% 0.21/0.52 (![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)))),
% 0.21/0.52 inference(modus_ponens,[status(thm)],[357, 350])).
% 0.21/0.52 tff(359,plain,
% 0.21/0.52 (![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)))),
% 0.21/0.52 inference(modus_ponens,[status(thm)],[358, 348])).
% 0.21/0.52 tff(360,plain,
% 0.21/0.52 (((~![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)))),
% 0.21/0.52 inference(rewrite,[status(thm)],[])).
% 0.21/0.52 tff(361,plain,
% 0.21/0.52 (((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)))),
% 0.21/0.52 inference(rewrite,[status(thm)],[])).
% 0.21/0.52 tff(362,plain,
% 0.21/0.52 (((~![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))))),
% 0.21/0.52 inference(monotonicity,[status(thm)],[361])).
% 0.21/0.52 tff(363,plain,
% 0.21/0.52 (((~![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)))),
% 0.21/0.52 inference(transitivity,[status(thm)],[362, 360])).
% 0.21/0.52 tff(364,plain,
% 0.21/0.52 ((~![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)))),
% 0.21/0.52 inference(quant_inst,[status(thm)],[])).
% 0.21/0.52 tff(365,plain,
% 0.21/0.52 ((~![X: $i, T0: $i, T: $i] : ((hazard_of_mortality(X, T0) = hazard_of_mortality(X, T)) | (~has_immunity(X, T)) | (~has_immunity(X, T0)) | (~organization(X)))) | (hazard_of_mortality(X!5, T1!3) = hazard_of_mortality(X!5, T0!4)) | (~organization(X!5)) | (~has_immunity(X!5, T0!4)) | (~has_immunity(X!5, T1!3))),
% 0.21/0.52 inference(modus_ponens,[status(thm)],[364, 363])).
% 0.21/0.52 tff(366,plain,
% 0.21/0.52 ($false),
% 0.21/0.52 inference(unit_resolution,[status(thm)],[365, 359, 11, 346, 345, 256])).
% 0.21/0.52 tff(367,plain,(hazard_of_mortality(X!5, T1!3) = hazard_of_mortality(X!5, T0!4)), inference(lemma,lemma(discharge,[]))).
% 0.21/0.52 tff(368,plain,
% 0.21/0.52 ((~(~((~greater(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, T1!3))) | (~(hazard_of_mortality(X!5, T1!3) = hazard_of_mortality(X!5, T0!4)))))) <=> ((~greater(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, T1!3))) | (~(hazard_of_mortality(X!5, T1!3) = hazard_of_mortality(X!5, T0!4))))),
% 0.21/0.52 inference(rewrite,[status(thm)],[])).
% 0.21/0.52 tff(369,plain,
% 0.21/0.52 ((greater(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, T1!3)) & (hazard_of_mortality(X!5, T1!3) = hazard_of_mortality(X!5, T0!4))) <=> (~((~greater(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, T1!3))) | (~(hazard_of_mortality(X!5, T1!3) = hazard_of_mortality(X!5, T0!4)))))),
% 0.21/0.52 inference(rewrite,[status(thm)],[])).
% 0.21/0.52 tff(370,plain,
% 0.21/0.52 ((~(greater(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, T1!3)) & (hazard_of_mortality(X!5, T1!3) = hazard_of_mortality(X!5, T0!4)))) <=> (~(~((~greater(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, T1!3))) | (~(hazard_of_mortality(X!5, T1!3) = hazard_of_mortality(X!5, T0!4))))))),
% 0.21/0.52 inference(monotonicity,[status(thm)],[369])).
% 0.21/0.52 tff(371,plain,
% 0.21/0.52 ((~(greater(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, T1!3)) & (hazard_of_mortality(X!5, T1!3) = hazard_of_mortality(X!5, T0!4)))) <=> ((~greater(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, T1!3))) | (~(hazard_of_mortality(X!5, T1!3) = hazard_of_mortality(X!5, T0!4))))),
% 0.21/0.53 inference(transitivity,[status(thm)],[370, 368])).
% 0.21/0.53 tff(372,plain,
% 0.21/0.53 (~(greater(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, T1!3)) & (hazard_of_mortality(X!5, T1!3) = hazard_of_mortality(X!5, T0!4)))),
% 0.21/0.53 inference(or_elim,[status(thm)],[9])).
% 0.21/0.53 tff(373,plain,
% 0.21/0.53 ((~greater(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, T1!3))) | (~(hazard_of_mortality(X!5, T1!3) = hazard_of_mortality(X!5, T0!4)))),
% 0.21/0.53 inference(modus_ponens,[status(thm)],[372, 371])).
% 0.21/0.53 tff(374,plain,
% 0.21/0.53 ((~greater(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, T1!3)))),
% 0.21/0.53 inference(unit_resolution,[status(thm)],[373, 367])).
% 0.21/0.53 tff(375,plain,
% 0.21/0.53 (~greater(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2))),
% 0.21/0.53 inference(unit_resolution,[status(thm)],[374, 278])).
% 0.21/0.53 tff(376,plain,
% 0.21/0.53 ((~(smaller(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, T2!2)))) | (~smaller(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, T2!2))),
% 0.21/0.53 inference(tautology,[status(thm)],[])).
% 0.21/0.53 tff(377,plain,
% 0.21/0.53 ((~(smaller(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, T2!2)))) | (~smaller(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T3!1)))),
% 0.21/0.53 inference(unit_resolution,[status(thm)],[376, 375])).
% 0.21/0.53 tff(378,plain,
% 0.21/0.53 (~smaller(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T3!1))),
% 0.21/0.53 inference(unit_resolution,[status(thm)],[377, 248])).
% 0.21/0.53 tff(379,plain,
% 0.21/0.53 ((~(smaller(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T3!1)) | (~greater_or_equal(position(X!5, T2!2), position(X!5, T3!1))) | (~greater(capability(X!5, T2!2), capability(X!5, T3!1))))) | smaller(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T3!1)) | (~greater_or_equal(position(X!5, T2!2), position(X!5, T3!1))) | (~greater(capability(X!5, T2!2), capability(X!5, T3!1)))),
% 0.21/0.53 inference(tautology,[status(thm)],[])).
% 0.21/0.53 tff(380,plain,
% 0.21/0.53 ((~greater_or_equal(position(X!5, T2!2), position(X!5, T3!1))) | (~greater(capability(X!5, T2!2), capability(X!5, T3!1)))),
% 0.21/0.53 inference(unit_resolution,[status(thm)],[379, 378, 246])).
% 0.21/0.53 tff(381,plain,
% 0.21/0.53 (~greater_or_equal(position(X!5, T2!2), position(X!5, T3!1))),
% 0.21/0.53 inference(unit_resolution,[status(thm)],[380, 153])).
% 0.21/0.53 tff(382,plain,
% 0.21/0.53 ((~(greater_or_equal(position(X!5, T2!2), position(X!5, T3!1)) <=> ((position(X!5, T2!2) = position(X!5, T3!1)) | greater(position(X!5, T2!2), position(X!5, T3!1))))) | greater_or_equal(position(X!5, T2!2), position(X!5, T3!1)) | (~((position(X!5, T2!2) = position(X!5, T3!1)) | greater(position(X!5, T2!2), position(X!5, T3!1))))),
% 0.21/0.53 inference(tautology,[status(thm)],[])).
% 0.21/0.53 tff(383,plain,
% 0.21/0.53 ((~(greater_or_equal(position(X!5, T2!2), position(X!5, T3!1)) <=> ((position(X!5, T2!2) = position(X!5, T3!1)) | greater(position(X!5, T2!2), position(X!5, T3!1))))) | (~((position(X!5, T2!2) = position(X!5, T3!1)) | greater(position(X!5, T2!2), position(X!5, T3!1))))),
% 0.21/0.53 inference(unit_resolution,[status(thm)],[382, 381])).
% 0.21/0.53 tff(384,plain,
% 0.21/0.53 (~((position(X!5, T2!2) = position(X!5, T3!1)) | greater(position(X!5, T2!2), position(X!5, T3!1)))),
% 0.21/0.53 inference(unit_resolution,[status(thm)],[383, 41])).
% 0.21/0.53 tff(385,plain,
% 0.21/0.53 (((position(X!5, T2!2) = position(X!5, T3!1)) | greater(position(X!5, T2!2), position(X!5, T3!1))) | (~(position(X!5, T2!2) = position(X!5, T3!1)))),
% 0.21/0.53 inference(tautology,[status(thm)],[])).
% 0.21/0.53 tff(386,plain,
% 0.21/0.53 (~(position(X!5, T2!2) = position(X!5, T3!1))),
% 0.21/0.53 inference(unit_resolution,[status(thm)],[385, 384])).
% 0.21/0.53 tff(387,plain,
% 0.21/0.53 (~(position(X!5, T3!1) = position(X!5, T2!2))),
% 0.21/0.53 inference(modus_ponens,[status(thm)],[386, 29])).
% 0.21/0.53 tff(388,plain,
% 0.21/0.53 ((~((~(external_ties(X!5, T3!1) = external_ties(X!5, T2!2))) | (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))),
% 0.21/0.53 inference(tautology,[status(thm)],[])).
% 0.21/0.53 tff(389,plain,
% 0.21/0.53 (~((~(external_ties(X!5, T3!1) = external_ties(X!5, T2!2))) | (position(X!5, T3!1) = position(X!5, T2!2)))),
% 0.21/0.53 inference(unit_resolution,[status(thm)],[388, 387, 27])).
% 0.21/0.53 tff(390,plain,
% 0.21/0.53 (((~((~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))))) | ((~(external_ties(X!5, T3!1) = external_ties(X!5, T2!2))) | (position(X!5, T3!1) = position(X!5, T2!2)))),
% 0.21/0.53 inference(tautology,[status(thm)],[])).
% 0.21/0.53 tff(391,plain,
% 0.21/0.53 ((~((~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))))),
% 0.21/0.53 inference(unit_resolution,[status(thm)],[390, 389])).
% 0.21/0.53 tff(392,plain,
% 0.21/0.53 (^[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))))))))),
% 0.21/0.53 inference(bind,[status(th)],[])).
% 0.21/0.53 tff(393,plain,
% 0.21/0.53 (![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)))))))),
% 0.21/0.53 inference(quant_intro,[status(thm)],[392])).
% 0.21/0.53 tff(394,plain,
% 0.21/0.53 (^[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))))))))),
% 0.21/0.53 inference(bind,[status(th)],[])).
% 0.21/0.53 tff(395,plain,
% 0.21/0.53 (![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)))))))),
% 0.21/0.53 inference(quant_intro,[status(thm)],[394])).
% 0.21/0.53 tff(396,plain,
% 0.21/0.53 (![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)))))),
% 0.21/0.53 inference(rewrite,[status(thm)],[])).
% 0.21/0.53 tff(397,plain,
% 0.21/0.53 (^[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)))))))),
% 0.21/0.53 inference(bind,[status(th)],[])).
% 0.21/0.53 tff(398,plain,
% 0.21/0.53 (![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)))))),
% 0.21/0.53 inference(quant_intro,[status(thm)],[397])).
% 0.21/0.53 tff(399,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')).
% 0.21/0.53 tff(400,plain,
% 0.21/0.53 (![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)))))),
% 0.21/0.53 inference(modus_ponens,[status(thm)],[399, 398])).
% 0.21/0.53 tff(401,plain,
% 0.21/0.53 (![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)))))),
% 0.21/0.53 inference(modus_ponens,[status(thm)],[400, 396])).
% 0.21/0.53 tff(402,plain,(
% 0.21/0.53 ![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)))))),
% 0.21/0.53 inference(skolemize,[status(sab)],[401])).
% 0.21/0.53 tff(403,plain,
% 0.21/0.53 (![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)))))))),
% 0.21/0.53 inference(modus_ponens,[status(thm)],[402, 395])).
% 0.21/0.53 tff(404,plain,
% 0.21/0.53 (![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)))))))),
% 0.21/0.53 inference(modus_ponens,[status(thm)],[403, 393])).
% 0.21/0.53 tff(405,plain,
% 0.21/0.53 (((~![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)))))))),
% 0.21/0.53 inference(rewrite,[status(thm)],[])).
% 0.21/0.53 tff(406,plain,
% 0.21/0.53 ((~![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)))))))),
% 0.21/0.53 inference(quant_inst,[status(thm)],[])).
% 0.21/0.53 tff(407,plain,
% 0.21/0.53 ((~![X: $i, T0: $i, T: $i] : ((~organization(X)) | (~((~((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0)))) | (~((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0)))))))) | (~organization(X!5)) | (~((~((~greater(external_ties(X!5, T3!1), external_ties(X!5, T2!2))) | greater(position(X!5, T3!1), position(X!5, T2!2)))) | (~((~(external_ties(X!5, T3!1) = external_ties(X!5, T2!2))) | (position(X!5, T3!1) = position(X!5, T2!2))))))),
% 0.21/0.54 inference(modus_ponens,[status(thm)],[406, 405])).
% 0.21/0.54 tff(408,plain,
% 0.21/0.54 ($false),
% 0.21/0.54 inference(unit_resolution,[status(thm)],[407, 404, 11, 391])).
% 0.21/0.54 % SZS output end Proof
% 0.21/0.54 % E exiting
%------------------------------------------------------------------------------