%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : MGT050+1 : TPTP v9.3.0. Released v2.4.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : run_E %s %d THM
% Computer : n014.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 0.14s 0.43s
% Output : Proof 0.24s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT050+1 : TPTP v9.3.0. Released v2.4.0.
% 0.00/0.03 % Command : run_E %s %d THM
% 0.07/0.35 % Computer : n014.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Mon Sep 7 13:17:58 UTC 2026
% 0.07/0.36 % CPUTime :
% 0.14/0.43 % SZS status Theorem
% 0.14/0.43 % SZS output start Proof
% 0.14/0.43 tff(has_immunity_type, type, (
% 0.14/0.43 has_immunity: ( $i * $i ) > $o)).
% 0.14/0.43 tff(tptp_fun_T_0_type, type, (
% 0.14/0.43 tptp_fun_T_0: $i)).
% 0.14/0.43 tff(tptp_fun_X_2_type, type, (
% 0.14/0.43 tptp_fun_X_2: $i)).
% 0.14/0.43 tff(position_type, type, (
% 0.14/0.43 position: ( $i * $i ) > $i)).
% 0.14/0.43 tff(tptp_fun_T0_1_type, type, (
% 0.14/0.43 tptp_fun_T0_1: $i)).
% 0.14/0.43 tff(capability_type, type, (
% 0.14/0.43 capability: ( $i * $i ) > $i)).
% 0.14/0.43 tff(hazard_of_mortality_type, type, (
% 0.14/0.43 hazard_of_mortality: ( $i * $i ) > $i)).
% 0.14/0.43 tff(greater_type, type, (
% 0.14/0.43 greater: ( $i * $i ) > $o)).
% 0.14/0.43 tff(greater_or_equal_type, type, (
% 0.14/0.43 greater_or_equal: ( $i * $i ) > $o)).
% 0.14/0.43 tff(smaller_type, type, (
% 0.14/0.43 smaller: ( $i * $i ) > $o)).
% 0.14/0.43 tff(smaller_or_equal_type, type, (
% 0.14/0.43 smaller_or_equal: ( $i * $i ) > $o)).
% 0.14/0.43 tff(stock_of_knowledge_type, type, (
% 0.14/0.43 stock_of_knowledge: ( $i * $i ) > $i)).
% 0.14/0.43 tff(organization_type, type, (
% 0.14/0.43 organization: $i > $o)).
% 0.14/0.43 tff(age_type, type, (
% 0.14/0.43 age: ( $i * $i ) > $i)).
% 0.14/0.43 tff(has_endowment_type, type, (
% 0.14/0.43 has_endowment: $i > $o)).
% 0.14/0.43 tff(internal_friction_type, type, (
% 0.14/0.43 internal_friction: ( $i * $i ) > $i)).
% 0.14/0.43 tff(external_ties_type, type, (
% 0.14/0.43 external_ties: ( $i * $i ) > $i)).
% 0.14/0.43 tff(1,plain,
% 0.14/0.43 ((~![X: $i, T0: $i, T: $i] : ((~(organization(X) & (~has_endowment(X)) & greater(age(X, T), age(X, T0)))) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)))) <=> (~![X: $i, T0: $i, T: $i] : ((~(organization(X) & (~has_endowment(X)) & greater(age(X, T), age(X, T0)))) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))))),
% 0.14/0.43 inference(rewrite,[status(thm)],[])).
% 0.14/0.43 tff(2,plain,
% 0.14/0.43 ((~![X: $i, T0: $i, T: $i] : (((organization(X) & (~has_endowment(X))) & greater(age(X, T), age(X, T0))) => greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)))) <=> (~![X: $i, T0: $i, T: $i] : ((~(organization(X) & (~has_endowment(X)) & greater(age(X, T), age(X, T0)))) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))))),
% 0.14/0.43 inference(rewrite,[status(thm)],[])).
% 0.14/0.43 tff(3,axiom,(~![X: $i, T0: $i, T: $i] : (((organization(X) & (~has_endowment(X))) & greater(age(X, T), age(X, T0))) => greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','theorem_3')).
% 0.14/0.43 tff(4,plain,
% 0.14/0.43 (~![X: $i, T0: $i, T: $i] : ((~(organization(X) & (~has_endowment(X)) & greater(age(X, T), age(X, T0)))) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)))),
% 0.14/0.43 inference(modus_ponens,[status(thm)],[3, 2])).
% 0.14/0.43 tff(5,plain,
% 0.14/0.43 (~![X: $i, T0: $i, T: $i] : ((~(organization(X) & (~has_endowment(X)) & greater(age(X, T), age(X, T0)))) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)))),
% 0.14/0.43 inference(modus_ponens,[status(thm)],[4, 1])).
% 0.14/0.43 tff(6,plain,
% 0.14/0.43 (~![X: $i, T0: $i, T: $i] : ((~(organization(X) & (~has_endowment(X)) & greater(age(X, T), age(X, T0)))) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)))),
% 0.14/0.43 inference(modus_ponens,[status(thm)],[5, 1])).
% 0.14/0.43 tff(7,plain,
% 0.14/0.43 (~![X: $i, T0: $i, T: $i] : ((~(organization(X) & (~has_endowment(X)) & greater(age(X, T), age(X, T0)))) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)))),
% 0.14/0.43 inference(modus_ponens,[status(thm)],[6, 1])).
% 0.14/0.43 tff(8,plain,(
% 0.14/0.43 ~((~(organization(X!2) & (~has_endowment(X!2)) & greater(age(X!2, T!0), age(X!2, T0!1)))) | greater(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1)))),
% 0.14/0.43 inference(skolemize,[status(sab)],[7])).
% 0.14/0.43 tff(9,plain,
% 0.14/0.43 (organization(X!2) & (~has_endowment(X!2)) & greater(age(X!2, T!0), age(X!2, T0!1))),
% 0.14/0.43 inference(or_elim,[status(thm)],[8])).
% 0.14/0.43 tff(10,plain,
% 0.14/0.43 (organization(X!2)),
% 0.14/0.43 inference(and_elim,[status(thm)],[9])).
% 0.14/0.43 tff(11,plain,
% 0.14/0.43 (^[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))))),
% 0.14/0.43 inference(bind,[status(th)],[])).
% 0.14/0.43 tff(12,plain,
% 0.14/0.43 (![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)))),
% 0.14/0.43 inference(quant_intro,[status(thm)],[11])).
% 0.14/0.43 tff(13,plain,
% 0.14/0.43 (![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)))),
% 0.14/0.43 inference(rewrite,[status(thm)],[])).
% 0.14/0.43 tff(14,plain,
% 0.14/0.43 (^[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))))),
% 0.14/0.43 inference(bind,[status(th)],[])).
% 0.14/0.43 tff(15,plain,
% 0.14/0.43 (![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)))),
% 0.14/0.43 inference(quant_intro,[status(thm)],[14])).
% 0.14/0.43 tff(16,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')).
% 0.14/0.43 tff(17,plain,
% 0.14/0.43 (![X: $i, T0: $i, T: $i] : ((~organization(X)) | (stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)))),
% 0.14/0.43 inference(modus_ponens,[status(thm)],[16, 15])).
% 0.14/0.43 tff(18,plain,
% 0.14/0.43 (![X: $i, T0: $i, T: $i] : ((~organization(X)) | (stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)))),
% 0.14/0.43 inference(modus_ponens,[status(thm)],[17, 13])).
% 0.14/0.43 tff(19,plain,(
% 0.14/0.43 ![X: $i, T0: $i, T: $i] : ((~organization(X)) | (stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)))),
% 0.14/0.43 inference(skolemize,[status(sab)],[18])).
% 0.14/0.43 tff(20,plain,
% 0.14/0.43 (![X: $i, T0: $i, T: $i] : ((~organization(X)) | (stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)))),
% 0.14/0.43 inference(modus_ponens,[status(thm)],[19, 12])).
% 0.14/0.43 tff(21,plain,
% 0.14/0.43 (((~![X: $i, T0: $i, T: $i] : ((~organization(X)) | (stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)))) | ((~organization(X!2)) | (stock_of_knowledge(X!2, T!0) = stock_of_knowledge(X!2, T0!1)))) <=> ((~![X: $i, T0: $i, T: $i] : ((~organization(X)) | (stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)))) | (~organization(X!2)) | (stock_of_knowledge(X!2, T!0) = stock_of_knowledge(X!2, T0!1)))),
% 0.14/0.43 inference(rewrite,[status(thm)],[])).
% 0.14/0.43 tff(22,plain,
% 0.14/0.43 ((~![X: $i, T0: $i, T: $i] : ((~organization(X)) | (stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)))) | ((~organization(X!2)) | (stock_of_knowledge(X!2, T!0) = stock_of_knowledge(X!2, T0!1)))),
% 0.14/0.43 inference(quant_inst,[status(thm)],[])).
% 0.14/0.43 tff(23,plain,
% 0.14/0.43 ((~![X: $i, T0: $i, T: $i] : ((~organization(X)) | (stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)))) | (~organization(X!2)) | (stock_of_knowledge(X!2, T!0) = stock_of_knowledge(X!2, T0!1))),
% 0.14/0.43 inference(modus_ponens,[status(thm)],[22, 21])).
% 0.14/0.43 tff(24,plain,
% 0.14/0.43 (stock_of_knowledge(X!2, T!0) = stock_of_knowledge(X!2, T0!1)),
% 0.14/0.43 inference(unit_resolution,[status(thm)],[23, 20, 10])).
% 0.14/0.43 tff(25,plain,
% 0.14/0.43 (^[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))))),
% 0.14/0.43 inference(bind,[status(th)],[])).
% 0.14/0.43 tff(26,plain,
% 0.14/0.43 (![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)))),
% 0.14/0.43 inference(quant_intro,[status(thm)],[25])).
% 0.14/0.43 tff(27,plain,
% 0.14/0.43 (![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)))),
% 0.14/0.43 inference(rewrite,[status(thm)],[])).
% 0.14/0.43 tff(28,plain,
% 0.14/0.43 (^[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))))),
% 0.14/0.43 inference(bind,[status(th)],[])).
% 0.14/0.43 tff(29,plain,
% 0.14/0.43 (![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)))),
% 0.14/0.43 inference(quant_intro,[status(thm)],[28])).
% 0.14/0.43 tff(30,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')).
% 0.14/0.43 tff(31,plain,
% 0.14/0.43 (![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))),
% 0.14/0.43 inference(modus_ponens,[status(thm)],[30, 29])).
% 0.14/0.43 tff(32,plain,
% 0.14/0.43 (![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))),
% 0.14/0.43 inference(modus_ponens,[status(thm)],[31, 27])).
% 0.14/0.43 tff(33,plain,(
% 0.14/0.43 ![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))),
% 0.14/0.43 inference(skolemize,[status(sab)],[32])).
% 0.14/0.43 tff(34,plain,
% 0.14/0.43 (![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))),
% 0.14/0.43 inference(modus_ponens,[status(thm)],[33, 26])).
% 0.14/0.43 tff(35,plain,
% 0.14/0.43 ((~![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))) | (smaller_or_equal(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1)) <=> ((stock_of_knowledge(X!2, T!0) = stock_of_knowledge(X!2, T0!1)) | smaller(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1))))),
% 0.14/0.43 inference(quant_inst,[status(thm)],[])).
% 0.14/0.43 tff(36,plain,
% 0.14/0.43 (smaller_or_equal(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1)) <=> ((stock_of_knowledge(X!2, T!0) = stock_of_knowledge(X!2, T0!1)) | smaller(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1)))),
% 0.14/0.43 inference(unit_resolution,[status(thm)],[35, 34])).
% 0.14/0.43 tff(37,assumption,(~smaller_or_equal(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1))), introduced(assumption)).
% 0.14/0.43 tff(38,plain,
% 0.14/0.43 ((~(smaller_or_equal(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1)) <=> ((stock_of_knowledge(X!2, T!0) = stock_of_knowledge(X!2, T0!1)) | smaller(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1))))) | smaller_or_equal(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1)) | (~((stock_of_knowledge(X!2, T!0) = stock_of_knowledge(X!2, T0!1)) | smaller(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1))))),
% 0.14/0.43 inference(tautology,[status(thm)],[])).
% 0.14/0.43 tff(39,plain,
% 0.14/0.43 ((~(smaller_or_equal(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1)) <=> ((stock_of_knowledge(X!2, T!0) = stock_of_knowledge(X!2, T0!1)) | smaller(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1))))) | (~((stock_of_knowledge(X!2, T!0) = stock_of_knowledge(X!2, T0!1)) | smaller(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1))))),
% 0.14/0.43 inference(unit_resolution,[status(thm)],[38, 37])).
% 0.14/0.43 tff(40,plain,
% 0.14/0.43 (~((stock_of_knowledge(X!2, T!0) = stock_of_knowledge(X!2, T0!1)) | smaller(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1)))),
% 0.14/0.43 inference(unit_resolution,[status(thm)],[39, 36])).
% 0.14/0.43 tff(41,plain,
% 0.14/0.43 (((stock_of_knowledge(X!2, T!0) = stock_of_knowledge(X!2, T0!1)) | smaller(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1))) | (~(stock_of_knowledge(X!2, T!0) = stock_of_knowledge(X!2, T0!1)))),
% 0.14/0.43 inference(tautology,[status(thm)],[])).
% 0.14/0.43 tff(42,plain,
% 0.14/0.43 ($false),
% 0.14/0.43 inference(unit_resolution,[status(thm)],[41, 40, 24])).
% 0.14/0.43 tff(43,plain,(smaller_or_equal(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1))), inference(lemma,lemma(discharge,[]))).
% 0.14/0.43 tff(44,assumption,(~greater(internal_friction(X!2, T!0), internal_friction(X!2, T0!1))), introduced(assumption)).
% 0.14/0.43 tff(45,plain,
% 0.14/0.43 (greater(age(X!2, T!0), age(X!2, T0!1))),
% 0.14/0.43 inference(and_elim,[status(thm)],[9])).
% 0.14/0.43 tff(46,plain,
% 0.14/0.43 (^[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)))))),
% 0.14/0.43 inference(bind,[status(th)],[])).
% 0.14/0.43 tff(47,plain,
% 0.14/0.43 (![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))))),
% 0.14/0.43 inference(quant_intro,[status(thm)],[46])).
% 0.14/0.43 tff(48,plain,
% 0.14/0.43 (^[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))))))),
% 0.14/0.43 inference(bind,[status(th)],[])).
% 0.14/0.43 tff(49,plain,
% 0.14/0.43 (![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))))),
% 0.14/0.43 inference(quant_intro,[status(thm)],[48])).
% 0.14/0.43 tff(50,plain,
% 0.14/0.43 (![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)))),
% 0.14/0.43 inference(rewrite,[status(thm)],[])).
% 0.14/0.43 tff(51,plain,
% 0.14/0.43 (^[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))))),
% 0.14/0.43 inference(bind,[status(th)],[])).
% 0.14/0.43 tff(52,plain,
% 0.14/0.43 (![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)))),
% 0.14/0.43 inference(quant_intro,[status(thm)],[51])).
% 0.14/0.43 tff(53,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')).
% 0.14/0.43 tff(54,plain,
% 0.14/0.43 (![X: $i, T0: $i, T: $i] : ((~(organization(X) & greater(age(X, T), age(X, T0)))) | greater(internal_friction(X, T), internal_friction(X, T0)))),
% 0.14/0.43 inference(modus_ponens,[status(thm)],[53, 52])).
% 0.14/0.43 tff(55,plain,
% 0.14/0.43 (![X: $i, T0: $i, T: $i] : ((~(organization(X) & greater(age(X, T), age(X, T0)))) | greater(internal_friction(X, T), internal_friction(X, T0)))),
% 0.14/0.43 inference(modus_ponens,[status(thm)],[54, 50])).
% 0.14/0.43 tff(56,plain,(
% 0.14/0.43 ![X: $i, T0: $i, T: $i] : ((~(organization(X) & greater(age(X, T), age(X, T0)))) | greater(internal_friction(X, T), internal_friction(X, T0)))),
% 0.14/0.43 inference(skolemize,[status(sab)],[55])).
% 0.14/0.43 tff(57,plain,
% 0.14/0.43 (![X: $i, T0: $i, T: $i] : (greater(internal_friction(X, T), internal_friction(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0))))),
% 0.14/0.43 inference(modus_ponens,[status(thm)],[56, 49])).
% 0.14/0.43 tff(58,plain,
% 0.14/0.43 (![X: $i, T0: $i, T: $i] : (greater(internal_friction(X, T), internal_friction(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0))))),
% 0.14/0.43 inference(modus_ponens,[status(thm)],[57, 47])).
% 0.14/0.43 tff(59,plain,
% 0.14/0.43 (((~![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!2, T!0), age(X!2, T0!1))) | (~organization(X!2)) | greater(internal_friction(X!2, T!0), internal_friction(X!2, T0!1)))) <=> ((~![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!2, T!0), age(X!2, T0!1))) | (~organization(X!2)) | greater(internal_friction(X!2, T!0), internal_friction(X!2, T0!1)))),
% 0.14/0.44 inference(rewrite,[status(thm)],[])).
% 0.14/0.44 tff(60,plain,
% 0.14/0.44 ((greater(internal_friction(X!2, T!0), internal_friction(X!2, T0!1)) | (~organization(X!2)) | (~greater(age(X!2, T!0), age(X!2, T0!1)))) <=> ((~greater(age(X!2, T!0), age(X!2, T0!1))) | (~organization(X!2)) | greater(internal_friction(X!2, T!0), internal_friction(X!2, T0!1)))),
% 0.14/0.44 inference(rewrite,[status(thm)],[])).
% 0.14/0.44 tff(61,plain,
% 0.14/0.44 (((~![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!2, T!0), internal_friction(X!2, T0!1)) | (~organization(X!2)) | (~greater(age(X!2, T!0), age(X!2, T0!1))))) <=> ((~![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!2, T!0), age(X!2, T0!1))) | (~organization(X!2)) | greater(internal_friction(X!2, T!0), internal_friction(X!2, T0!1))))),
% 0.14/0.44 inference(monotonicity,[status(thm)],[60])).
% 0.14/0.44 tff(62,plain,
% 0.14/0.44 (((~![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!2, T!0), internal_friction(X!2, T0!1)) | (~organization(X!2)) | (~greater(age(X!2, T!0), age(X!2, T0!1))))) <=> ((~![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!2, T!0), age(X!2, T0!1))) | (~organization(X!2)) | greater(internal_friction(X!2, T!0), internal_friction(X!2, T0!1)))),
% 0.14/0.44 inference(transitivity,[status(thm)],[61, 59])).
% 0.14/0.44 tff(63,plain,
% 0.14/0.44 ((~![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!2, T!0), internal_friction(X!2, T0!1)) | (~organization(X!2)) | (~greater(age(X!2, T!0), age(X!2, T0!1))))),
% 0.14/0.44 inference(quant_inst,[status(thm)],[])).
% 0.14/0.44 tff(64,plain,
% 0.14/0.44 ((~![X: $i, T0: $i, T: $i] : (greater(internal_friction(X, T), internal_friction(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0))))) | (~greater(age(X!2, T!0), age(X!2, T0!1))) | (~organization(X!2)) | greater(internal_friction(X!2, T!0), internal_friction(X!2, T0!1))),
% 0.14/0.44 inference(modus_ponens,[status(thm)],[63, 62])).
% 0.14/0.44 tff(65,plain,
% 0.14/0.44 ($false),
% 0.14/0.44 inference(unit_resolution,[status(thm)],[64, 58, 10, 45, 44])).
% 0.14/0.44 tff(66,plain,(greater(internal_friction(X!2, T!0), internal_friction(X!2, T0!1))), inference(lemma,lemma(discharge,[]))).
% 0.14/0.44 tff(67,plain,
% 0.14/0.44 (![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))))))))),
% 0.14/0.44 inference(rewrite,[status(thm)],[])).
% 0.14/0.44 tff(68,plain,
% 0.14/0.44 (^[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)))))))))),
% 0.14/0.44 inference(bind,[status(th)],[])).
% 0.14/0.44 tff(69,plain,
% 0.14/0.44 (![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))))))))),
% 0.14/0.44 inference(quant_intro,[status(thm)],[68])).
% 0.14/0.44 tff(70,plain,
% 0.14/0.44 (^[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)))))))))),
% 0.14/0.44 inference(bind,[status(th)],[])).
% 0.14/0.44 tff(71,plain,
% 0.14/0.44 (![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))))))))),
% 0.14/0.44 inference(quant_intro,[status(thm)],[70])).
% 0.14/0.44 tff(72,plain,
% 0.14/0.44 (![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)))))),
% 0.14/0.44 inference(rewrite,[status(thm)],[])).
% 0.14/0.44 tff(73,plain,
% 0.14/0.44 (^[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)))))))),
% 0.14/0.44 inference(bind,[status(th)],[])).
% 0.14/0.44 tff(74,plain,
% 0.14/0.44 (![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)))))),
% 0.14/0.44 inference(quant_intro,[status(thm)],[73])).
% 0.14/0.44 tff(75,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')).
% 0.14/0.44 tff(76,plain,
% 0.14/0.44 (![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)))))),
% 0.14/0.44 inference(modus_ponens,[status(thm)],[75, 74])).
% 0.14/0.44 tff(77,plain,
% 0.14/0.44 (![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)))))),
% 0.14/0.44 inference(modus_ponens,[status(thm)],[76, 72])).
% 0.14/0.44 tff(78,plain,(
% 0.14/0.44 ![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)))))),
% 0.14/0.44 inference(skolemize,[status(sab)],[77])).
% 0.14/0.44 tff(79,plain,
% 0.14/0.44 (![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))))))))),
% 0.14/0.44 inference(modus_ponens,[status(thm)],[78, 71])).
% 0.14/0.44 tff(80,plain,
% 0.14/0.44 (![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))))))))),
% 0.14/0.44 inference(modus_ponens,[status(thm)],[79, 69])).
% 0.14/0.44 tff(81,plain,
% 0.14/0.44 (![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))))))))),
% 0.14/0.44 inference(modus_ponens,[status(thm)],[80, 67])).
% 0.14/0.44 tff(82,plain,
% 0.14/0.44 (((~![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))))))))) | ((~organization(X!2)) | (~((~(greater(capability(X!2, T!0), capability(X!2, T0!1)) | (~greater(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1))) | (~smaller_or_equal(internal_friction(X!2, T!0), internal_friction(X!2, T0!1))))) | (~(smaller(capability(X!2, T!0), capability(X!2, T0!1)) | (~smaller_or_equal(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1))) | (~greater(internal_friction(X!2, T!0), internal_friction(X!2, T0!1))))) | (~((capability(X!2, T!0) = capability(X!2, T0!1)) | (~(stock_of_knowledge(X!2, T!0) = stock_of_knowledge(X!2, T0!1))) | (~(internal_friction(X!2, T!0) = internal_friction(X!2, T0!1))))))))) <=> ((~![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!2)) | (~((~(greater(capability(X!2, T!0), capability(X!2, T0!1)) | (~greater(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1))) | (~smaller_or_equal(internal_friction(X!2, T!0), internal_friction(X!2, T0!1))))) | (~(smaller(capability(X!2, T!0), capability(X!2, T0!1)) | (~smaller_or_equal(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1))) | (~greater(internal_friction(X!2, T!0), internal_friction(X!2, T0!1))))) | (~((capability(X!2, T!0) = capability(X!2, T0!1)) | (~(stock_of_knowledge(X!2, T!0) = stock_of_knowledge(X!2, T0!1))) | (~(internal_friction(X!2, T!0) = internal_friction(X!2, T0!1))))))))),
% 0.14/0.44 inference(rewrite,[status(thm)],[])).
% 0.14/0.44 tff(83,plain,
% 0.14/0.44 ((~![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))))))))) | ((~organization(X!2)) | (~((~(greater(capability(X!2, T!0), capability(X!2, T0!1)) | (~greater(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1))) | (~smaller_or_equal(internal_friction(X!2, T!0), internal_friction(X!2, T0!1))))) | (~(smaller(capability(X!2, T!0), capability(X!2, T0!1)) | (~smaller_or_equal(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1))) | (~greater(internal_friction(X!2, T!0), internal_friction(X!2, T0!1))))) | (~((capability(X!2, T!0) = capability(X!2, T0!1)) | (~(stock_of_knowledge(X!2, T!0) = stock_of_knowledge(X!2, T0!1))) | (~(internal_friction(X!2, T!0) = internal_friction(X!2, T0!1))))))))),
% 0.14/0.44 inference(quant_inst,[status(thm)],[])).
% 0.14/0.44 tff(84,plain,
% 0.14/0.44 ((~![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))))))))) | (~organization(X!2)) | (~((~(greater(capability(X!2, T!0), capability(X!2, T0!1)) | (~greater(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1))) | (~smaller_or_equal(internal_friction(X!2, T!0), internal_friction(X!2, T0!1))))) | (~(smaller(capability(X!2, T!0), capability(X!2, T0!1)) | (~smaller_or_equal(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1))) | (~greater(internal_friction(X!2, T!0), internal_friction(X!2, T0!1))))) | (~((capability(X!2, T!0) = capability(X!2, T0!1)) | (~(stock_of_knowledge(X!2, T!0) = stock_of_knowledge(X!2, T0!1))) | (~(internal_friction(X!2, T!0) = internal_friction(X!2, T0!1)))))))),
% 0.14/0.45 inference(modus_ponens,[status(thm)],[83, 82])).
% 0.14/0.45 tff(85,plain,
% 0.14/0.45 (~((~(greater(capability(X!2, T!0), capability(X!2, T0!1)) | (~greater(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1))) | (~smaller_or_equal(internal_friction(X!2, T!0), internal_friction(X!2, T0!1))))) | (~(smaller(capability(X!2, T!0), capability(X!2, T0!1)) | (~smaller_or_equal(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1))) | (~greater(internal_friction(X!2, T!0), internal_friction(X!2, T0!1))))) | (~((capability(X!2, T!0) = capability(X!2, T0!1)) | (~(stock_of_knowledge(X!2, T!0) = stock_of_knowledge(X!2, T0!1))) | (~(internal_friction(X!2, T!0) = internal_friction(X!2, T0!1))))))),
% 0.14/0.45 inference(unit_resolution,[status(thm)],[84, 81, 10])).
% 0.14/0.45 tff(86,plain,
% 0.14/0.45 (((~(greater(capability(X!2, T!0), capability(X!2, T0!1)) | (~greater(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1))) | (~smaller_or_equal(internal_friction(X!2, T!0), internal_friction(X!2, T0!1))))) | (~(smaller(capability(X!2, T!0), capability(X!2, T0!1)) | (~smaller_or_equal(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1))) | (~greater(internal_friction(X!2, T!0), internal_friction(X!2, T0!1))))) | (~((capability(X!2, T!0) = capability(X!2, T0!1)) | (~(stock_of_knowledge(X!2, T!0) = stock_of_knowledge(X!2, T0!1))) | (~(internal_friction(X!2, T!0) = internal_friction(X!2, T0!1)))))) | (smaller(capability(X!2, T!0), capability(X!2, T0!1)) | (~smaller_or_equal(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1))) | (~greater(internal_friction(X!2, T!0), internal_friction(X!2, T0!1))))),
% 0.14/0.45 inference(tautology,[status(thm)],[])).
% 0.14/0.45 tff(87,plain,
% 0.14/0.45 (smaller(capability(X!2, T!0), capability(X!2, T0!1)) | (~smaller_or_equal(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1))) | (~greater(internal_friction(X!2, T!0), internal_friction(X!2, T0!1)))),
% 0.14/0.45 inference(unit_resolution,[status(thm)],[86, 85])).
% 0.14/0.45 tff(88,plain,
% 0.14/0.45 ((~(smaller(capability(X!2, T!0), capability(X!2, T0!1)) | (~smaller_or_equal(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1))) | (~greater(internal_friction(X!2, T!0), internal_friction(X!2, T0!1))))) | smaller(capability(X!2, T!0), capability(X!2, T0!1)) | (~smaller_or_equal(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1))) | (~greater(internal_friction(X!2, T!0), internal_friction(X!2, T0!1)))),
% 0.14/0.45 inference(tautology,[status(thm)],[])).
% 0.14/0.45 tff(89,plain,
% 0.14/0.45 (smaller(capability(X!2, T!0), capability(X!2, T0!1)) | (~smaller_or_equal(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1))) | (~greater(internal_friction(X!2, T!0), internal_friction(X!2, T0!1)))),
% 0.14/0.45 inference(unit_resolution,[status(thm)],[88, 87])).
% 0.14/0.45 tff(90,plain,
% 0.14/0.45 (smaller(capability(X!2, T!0), capability(X!2, T0!1)) | (~smaller_or_equal(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1)))),
% 0.14/0.45 inference(unit_resolution,[status(thm)],[89, 66])).
% 0.14/0.45 tff(91,plain,
% 0.14/0.45 (smaller(capability(X!2, T!0), capability(X!2, T0!1))),
% 0.14/0.45 inference(unit_resolution,[status(thm)],[90, 43])).
% 0.14/0.45 tff(92,assumption,(~(smaller(capability(X!2, T!0), capability(X!2, T0!1)) <=> greater(capability(X!2, T0!1), capability(X!2, T!0)))), introduced(assumption)).
% 0.14/0.45 tff(93,plain,
% 0.14/0.45 (^[X: $i, Y: $i] : refl((smaller(X, Y) <=> greater(Y, X)) <=> (smaller(X, Y) <=> greater(Y, X)))),
% 0.14/0.45 inference(bind,[status(th)],[])).
% 0.14/0.45 tff(94,plain,
% 0.14/0.45 (![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X)) <=> ![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))),
% 0.14/0.45 inference(quant_intro,[status(thm)],[93])).
% 0.14/0.45 tff(95,plain,
% 0.14/0.45 (![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X)) <=> ![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))),
% 0.14/0.45 inference(rewrite,[status(thm)],[])).
% 0.14/0.45 tff(96,axiom,(![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))), file('/export/starexec/sandbox/benchmark/Axioms/MGT001+0.ax','definition_smaller')).
% 0.14/0.45 tff(97,plain,
% 0.14/0.45 (![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))),
% 0.14/0.45 inference(modus_ponens,[status(thm)],[96, 95])).
% 0.14/0.45 tff(98,plain,(
% 0.14/0.45 ![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))),
% 0.14/0.45 inference(skolemize,[status(sab)],[97])).
% 0.14/0.45 tff(99,plain,
% 0.14/0.45 (![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))),
% 0.14/0.45 inference(modus_ponens,[status(thm)],[98, 94])).
% 0.14/0.45 tff(100,plain,
% 0.14/0.45 ((~![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))) | (smaller(capability(X!2, T!0), capability(X!2, T0!1)) <=> greater(capability(X!2, T0!1), capability(X!2, T!0)))),
% 0.14/0.45 inference(quant_inst,[status(thm)],[])).
% 0.14/0.45 tff(101,plain,
% 0.14/0.45 ($false),
% 0.14/0.45 inference(unit_resolution,[status(thm)],[100, 99, 92])).
% 0.14/0.45 tff(102,plain,(smaller(capability(X!2, T!0), capability(X!2, T0!1)) <=> greater(capability(X!2, T0!1), capability(X!2, T!0))), inference(lemma,lemma(discharge,[]))).
% 0.14/0.45 tff(103,plain,
% 0.14/0.45 ((~(smaller(capability(X!2, T!0), capability(X!2, T0!1)) <=> greater(capability(X!2, T0!1), capability(X!2, T!0)))) | (~smaller(capability(X!2, T!0), capability(X!2, T0!1))) | greater(capability(X!2, T0!1), capability(X!2, T!0))),
% 0.14/0.45 inference(tautology,[status(thm)],[])).
% 0.14/0.45 tff(104,plain,
% 0.14/0.45 ((~smaller(capability(X!2, T!0), capability(X!2, T0!1))) | greater(capability(X!2, T0!1), capability(X!2, T!0))),
% 0.14/0.45 inference(unit_resolution,[status(thm)],[103, 102])).
% 0.14/0.45 tff(105,plain,
% 0.14/0.45 (greater(capability(X!2, T0!1), capability(X!2, T!0))),
% 0.14/0.45 inference(unit_resolution,[status(thm)],[104, 91])).
% 0.14/0.45 tff(106,plain,
% 0.14/0.45 (^[X: $i, T0: $i, T: $i] : refl(((~organization(X)) | (~((~((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0)))) | (~((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0))))))) <=> ((~organization(X)) | (~((~((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0)))) | (~((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0))))))))),
% 0.14/0.45 inference(bind,[status(th)],[])).
% 0.14/0.45 tff(107,plain,
% 0.14/0.45 (![X: $i, T0: $i, T: $i] : ((~organization(X)) | (~((~((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0)))) | (~((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0))))))) <=> ![X: $i, T0: $i, T: $i] : ((~organization(X)) | (~((~((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0)))) | (~((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0)))))))),
% 0.14/0.45 inference(quant_intro,[status(thm)],[106])).
% 0.14/0.45 tff(108,plain,
% 0.14/0.45 (^[X: $i, T0: $i, T: $i] : rewrite(((~organization(X)) | (((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0))) & ((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0))))) <=> ((~organization(X)) | (~((~((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0)))) | (~((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0))))))))),
% 0.14/0.45 inference(bind,[status(th)],[])).
% 0.14/0.45 tff(109,plain,
% 0.14/0.45 (![X: $i, T0: $i, T: $i] : ((~organization(X)) | (((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0))) & ((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0))))) <=> ![X: $i, T0: $i, T: $i] : ((~organization(X)) | (~((~((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0)))) | (~((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0)))))))),
% 0.14/0.45 inference(quant_intro,[status(thm)],[108])).
% 0.14/0.45 tff(110,plain,
% 0.14/0.45 (![X: $i, T0: $i, T: $i] : ((~organization(X)) | (((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0))) & ((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0))))) <=> ![X: $i, T0: $i, T: $i] : ((~organization(X)) | (((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0))) & ((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0)))))),
% 0.14/0.45 inference(rewrite,[status(thm)],[])).
% 0.14/0.45 tff(111,plain,
% 0.14/0.45 (^[X: $i, T0: $i, T: $i] : trans(monotonicity(rewrite(((greater(external_ties(X, T), external_ties(X, T0)) => greater(position(X, T), position(X, T0))) & ((external_ties(X, T) = external_ties(X, T0)) => (position(X, T) = position(X, T0)))) <=> (((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0))) & ((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0))))), ((organization(X) => ((greater(external_ties(X, T), external_ties(X, T0)) => greater(position(X, T), position(X, T0))) & ((external_ties(X, T) = external_ties(X, T0)) => (position(X, T) = position(X, T0))))) <=> (organization(X) => (((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0))) & ((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0))))))), rewrite((organization(X) => (((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0))) & ((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0))))) <=> ((~organization(X)) | (((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0))) & ((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0)))))), ((organization(X) => ((greater(external_ties(X, T), external_ties(X, T0)) => greater(position(X, T), position(X, T0))) & ((external_ties(X, T) = external_ties(X, T0)) => (position(X, T) = position(X, T0))))) <=> ((~organization(X)) | (((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0))) & ((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0)))))))),
% 0.14/0.45 inference(bind,[status(th)],[])).
% 0.14/0.45 tff(112,plain,
% 0.14/0.45 (![X: $i, T0: $i, T: $i] : (organization(X) => ((greater(external_ties(X, T), external_ties(X, T0)) => greater(position(X, T), position(X, T0))) & ((external_ties(X, T) = external_ties(X, T0)) => (position(X, T) = position(X, T0))))) <=> ![X: $i, T0: $i, T: $i] : ((~organization(X)) | (((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0))) & ((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0)))))),
% 0.14/0.45 inference(quant_intro,[status(thm)],[111])).
% 0.14/0.45 tff(113,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')).
% 0.14/0.45 tff(114,plain,
% 0.14/0.45 (![X: $i, T0: $i, T: $i] : ((~organization(X)) | (((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0))) & ((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0)))))),
% 0.14/0.45 inference(modus_ponens,[status(thm)],[113, 112])).
% 0.14/0.45 tff(115,plain,
% 0.14/0.45 (![X: $i, T0: $i, T: $i] : ((~organization(X)) | (((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0))) & ((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0)))))),
% 0.14/0.45 inference(modus_ponens,[status(thm)],[114, 110])).
% 0.14/0.45 tff(116,plain,(
% 0.14/0.45 ![X: $i, T0: $i, T: $i] : ((~organization(X)) | (((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0))) & ((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0)))))),
% 0.14/0.45 inference(skolemize,[status(sab)],[115])).
% 0.14/0.45 tff(117,plain,
% 0.14/0.45 (![X: $i, T0: $i, T: $i] : ((~organization(X)) | (~((~((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0)))) | (~((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0)))))))),
% 0.14/0.45 inference(modus_ponens,[status(thm)],[116, 109])).
% 0.14/0.45 tff(118,plain,
% 0.14/0.45 (![X: $i, T0: $i, T: $i] : ((~organization(X)) | (~((~((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0)))) | (~((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0)))))))),
% 0.14/0.45 inference(modus_ponens,[status(thm)],[117, 107])).
% 0.14/0.45 tff(119,plain,
% 0.14/0.45 (((~![X: $i, T0: $i, T: $i] : ((~organization(X)) | (~((~((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0)))) | (~((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0)))))))) | ((~organization(X!2)) | (~((~((~greater(external_ties(X!2, T0!1), external_ties(X!2, T!0))) | greater(position(X!2, T0!1), position(X!2, T!0)))) | (~((~(external_ties(X!2, T0!1) = external_ties(X!2, T!0))) | (position(X!2, T0!1) = position(X!2, T!0)))))))) <=> ((~![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!2)) | (~((~((~greater(external_ties(X!2, T0!1), external_ties(X!2, T!0))) | greater(position(X!2, T0!1), position(X!2, T!0)))) | (~((~(external_ties(X!2, T0!1) = external_ties(X!2, T!0))) | (position(X!2, T0!1) = position(X!2, T!0)))))))),
% 0.14/0.45 inference(rewrite,[status(thm)],[])).
% 0.14/0.45 tff(120,plain,
% 0.14/0.45 ((~![X: $i, T0: $i, T: $i] : ((~organization(X)) | (~((~((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0)))) | (~((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0)))))))) | ((~organization(X!2)) | (~((~((~greater(external_ties(X!2, T0!1), external_ties(X!2, T!0))) | greater(position(X!2, T0!1), position(X!2, T!0)))) | (~((~(external_ties(X!2, T0!1) = external_ties(X!2, T!0))) | (position(X!2, T0!1) = position(X!2, T!0)))))))),
% 0.14/0.45 inference(quant_inst,[status(thm)],[])).
% 0.14/0.45 tff(121,plain,
% 0.14/0.45 ((~![X: $i, T0: $i, T: $i] : ((~organization(X)) | (~((~((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0)))) | (~((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0)))))))) | (~organization(X!2)) | (~((~((~greater(external_ties(X!2, T0!1), external_ties(X!2, T!0))) | greater(position(X!2, T0!1), position(X!2, T!0)))) | (~((~(external_ties(X!2, T0!1) = external_ties(X!2, T!0))) | (position(X!2, T0!1) = position(X!2, T!0))))))),
% 0.14/0.45 inference(modus_ponens,[status(thm)],[120, 119])).
% 0.14/0.45 tff(122,plain,
% 0.14/0.45 (~((~((~greater(external_ties(X!2, T0!1), external_ties(X!2, T!0))) | greater(position(X!2, T0!1), position(X!2, T!0)))) | (~((~(external_ties(X!2, T0!1) = external_ties(X!2, T!0))) | (position(X!2, T0!1) = position(X!2, T!0)))))),
% 0.14/0.45 inference(unit_resolution,[status(thm)],[121, 118, 10])).
% 0.14/0.45 tff(123,plain,
% 0.14/0.45 (((~((~greater(external_ties(X!2, T0!1), external_ties(X!2, T!0))) | greater(position(X!2, T0!1), position(X!2, T!0)))) | (~((~(external_ties(X!2, T0!1) = external_ties(X!2, T!0))) | (position(X!2, T0!1) = position(X!2, T!0))))) | ((~(external_ties(X!2, T0!1) = external_ties(X!2, T!0))) | (position(X!2, T0!1) = position(X!2, T!0)))),
% 0.14/0.45 inference(tautology,[status(thm)],[])).
% 0.14/0.45 tff(124,plain,
% 0.14/0.45 ((~(external_ties(X!2, T0!1) = external_ties(X!2, T!0))) | (position(X!2, T0!1) = position(X!2, T!0))),
% 0.14/0.45 inference(unit_resolution,[status(thm)],[123, 122])).
% 0.14/0.45 tff(125,assumption,(~(external_ties(X!2, T0!1) = external_ties(X!2, T!0))), introduced(assumption)).
% 0.14/0.45 tff(126,plain,
% 0.14/0.45 (^[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))))),
% 0.14/0.45 inference(bind,[status(th)],[])).
% 0.14/0.45 tff(127,plain,
% 0.14/0.45 (![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)))),
% 0.14/0.45 inference(quant_intro,[status(thm)],[126])).
% 0.14/0.45 tff(128,plain,
% 0.14/0.45 (![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)))),
% 0.14/0.45 inference(rewrite,[status(thm)],[])).
% 0.14/0.45 tff(129,plain,
% 0.14/0.45 (^[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))))),
% 0.14/0.45 inference(bind,[status(th)],[])).
% 0.14/0.45 tff(130,plain,
% 0.14/0.45 (![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)))),
% 0.14/0.45 inference(quant_intro,[status(thm)],[129])).
% 0.14/0.45 tff(131,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')).
% 0.14/0.45 tff(132,plain,
% 0.14/0.45 (![X: $i, T0: $i, T: $i] : ((~organization(X)) | (external_ties(X, T) = external_ties(X, T0)))),
% 0.14/0.45 inference(modus_ponens,[status(thm)],[131, 130])).
% 0.14/0.45 tff(133,plain,
% 0.14/0.45 (![X: $i, T0: $i, T: $i] : ((~organization(X)) | (external_ties(X, T) = external_ties(X, T0)))),
% 0.14/0.45 inference(modus_ponens,[status(thm)],[132, 128])).
% 0.14/0.45 tff(134,plain,(
% 0.14/0.45 ![X: $i, T0: $i, T: $i] : ((~organization(X)) | (external_ties(X, T) = external_ties(X, T0)))),
% 0.14/0.45 inference(skolemize,[status(sab)],[133])).
% 0.14/0.45 tff(135,plain,
% 0.14/0.45 (![X: $i, T0: $i, T: $i] : ((~organization(X)) | (external_ties(X, T) = external_ties(X, T0)))),
% 0.14/0.45 inference(modus_ponens,[status(thm)],[134, 127])).
% 0.14/0.45 tff(136,plain,
% 0.14/0.45 (((~![X: $i, T0: $i, T: $i] : ((~organization(X)) | (external_ties(X, T) = external_ties(X, T0)))) | ((~organization(X!2)) | (external_ties(X!2, T0!1) = external_ties(X!2, T!0)))) <=> ((~![X: $i, T0: $i, T: $i] : ((~organization(X)) | (external_ties(X, T) = external_ties(X, T0)))) | (~organization(X!2)) | (external_ties(X!2, T0!1) = external_ties(X!2, T!0)))),
% 0.14/0.45 inference(rewrite,[status(thm)],[])).
% 0.14/0.45 tff(137,plain,
% 0.14/0.45 ((~![X: $i, T0: $i, T: $i] : ((~organization(X)) | (external_ties(X, T) = external_ties(X, T0)))) | ((~organization(X!2)) | (external_ties(X!2, T0!1) = external_ties(X!2, T!0)))),
% 0.14/0.45 inference(quant_inst,[status(thm)],[])).
% 0.14/0.45 tff(138,plain,
% 0.14/0.45 ((~![X: $i, T0: $i, T: $i] : ((~organization(X)) | (external_ties(X, T) = external_ties(X, T0)))) | (~organization(X!2)) | (external_ties(X!2, T0!1) = external_ties(X!2, T!0))),
% 0.14/0.45 inference(modus_ponens,[status(thm)],[137, 136])).
% 0.14/0.45 tff(139,plain,
% 0.14/0.45 ($false),
% 0.14/0.45 inference(unit_resolution,[status(thm)],[138, 135, 10, 125])).
% 0.14/0.45 tff(140,plain,(external_ties(X!2, T0!1) = external_ties(X!2, T!0)), inference(lemma,lemma(discharge,[]))).
% 0.14/0.45 tff(141,plain,
% 0.14/0.45 ((~((~(external_ties(X!2, T0!1) = external_ties(X!2, T!0))) | (position(X!2, T0!1) = position(X!2, T!0)))) | (~(external_ties(X!2, T0!1) = external_ties(X!2, T!0))) | (position(X!2, T0!1) = position(X!2, T!0))),
% 0.14/0.45 inference(tautology,[status(thm)],[])).
% 0.14/0.45 tff(142,plain,
% 0.14/0.45 ((~((~(external_ties(X!2, T0!1) = external_ties(X!2, T!0))) | (position(X!2, T0!1) = position(X!2, T!0)))) | (position(X!2, T0!1) = position(X!2, T!0))),
% 0.14/0.45 inference(unit_resolution,[status(thm)],[141, 140])).
% 0.14/0.45 tff(143,plain,
% 0.14/0.45 (position(X!2, T0!1) = position(X!2, T!0)),
% 0.14/0.45 inference(unit_resolution,[status(thm)],[142, 124])).
% 0.14/0.45 tff(144,plain,
% 0.14/0.45 (((position(X!2, T0!1) = position(X!2, T!0)) | greater(position(X!2, T0!1), position(X!2, T!0))) | (~(position(X!2, T0!1) = position(X!2, T!0)))),
% 0.14/0.45 inference(tautology,[status(thm)],[])).
% 0.14/0.45 tff(145,plain,
% 0.14/0.45 ((position(X!2, T0!1) = position(X!2, T!0)) | greater(position(X!2, T0!1), position(X!2, T!0))),
% 0.14/0.46 inference(unit_resolution,[status(thm)],[144, 143])).
% 0.14/0.46 tff(146,assumption,(~(greater_or_equal(position(X!2, T0!1), position(X!2, T!0)) <=> ((position(X!2, T0!1) = position(X!2, T!0)) | greater(position(X!2, T0!1), position(X!2, T!0))))), introduced(assumption)).
% 0.14/0.46 tff(147,plain,
% 0.14/0.46 (^[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))))),
% 0.14/0.46 inference(bind,[status(th)],[])).
% 0.14/0.46 tff(148,plain,
% 0.14/0.46 (![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)))),
% 0.14/0.46 inference(quant_intro,[status(thm)],[147])).
% 0.14/0.46 tff(149,plain,
% 0.14/0.46 (![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)))),
% 0.14/0.46 inference(rewrite,[status(thm)],[])).
% 0.14/0.46 tff(150,plain,
% 0.14/0.46 (^[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))))),
% 0.14/0.46 inference(bind,[status(th)],[])).
% 0.14/0.46 tff(151,plain,
% 0.14/0.46 (![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)))),
% 0.14/0.46 inference(quant_intro,[status(thm)],[150])).
% 0.14/0.46 tff(152,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')).
% 0.14/0.46 tff(153,plain,
% 0.14/0.46 (![X: $i, Y: $i] : (greater_or_equal(X, Y) <=> ((X = Y) | greater(X, Y)))),
% 0.14/0.46 inference(modus_ponens,[status(thm)],[152, 151])).
% 0.14/0.46 tff(154,plain,
% 0.14/0.46 (![X: $i, Y: $i] : (greater_or_equal(X, Y) <=> ((X = Y) | greater(X, Y)))),
% 0.14/0.46 inference(modus_ponens,[status(thm)],[153, 149])).
% 0.14/0.46 tff(155,plain,(
% 0.14/0.46 ![X: $i, Y: $i] : (greater_or_equal(X, Y) <=> ((X = Y) | greater(X, Y)))),
% 0.14/0.46 inference(skolemize,[status(sab)],[154])).
% 0.14/0.46 tff(156,plain,
% 0.14/0.46 (![X: $i, Y: $i] : (greater_or_equal(X, Y) <=> ((X = Y) | greater(X, Y)))),
% 0.14/0.46 inference(modus_ponens,[status(thm)],[155, 148])).
% 0.14/0.46 tff(157,plain,
% 0.14/0.46 ((~![X: $i, Y: $i] : (greater_or_equal(X, Y) <=> ((X = Y) | greater(X, Y)))) | (greater_or_equal(position(X!2, T0!1), position(X!2, T!0)) <=> ((position(X!2, T0!1) = position(X!2, T!0)) | greater(position(X!2, T0!1), position(X!2, T!0))))),
% 0.14/0.46 inference(quant_inst,[status(thm)],[])).
% 0.14/0.46 tff(158,plain,
% 0.14/0.46 ($false),
% 0.14/0.46 inference(unit_resolution,[status(thm)],[157, 156, 146])).
% 0.14/0.46 tff(159,plain,(greater_or_equal(position(X!2, T0!1), position(X!2, T!0)) <=> ((position(X!2, T0!1) = position(X!2, T!0)) | greater(position(X!2, T0!1), position(X!2, T!0)))), inference(lemma,lemma(discharge,[]))).
% 0.14/0.46 tff(160,plain,
% 0.14/0.46 ((~(greater_or_equal(position(X!2, T0!1), position(X!2, T!0)) <=> ((position(X!2, T0!1) = position(X!2, T!0)) | greater(position(X!2, T0!1), position(X!2, T!0))))) | greater_or_equal(position(X!2, T0!1), position(X!2, T!0)) | (~((position(X!2, T0!1) = position(X!2, T!0)) | greater(position(X!2, T0!1), position(X!2, T!0))))),
% 0.14/0.46 inference(tautology,[status(thm)],[])).
% 0.14/0.46 tff(161,plain,
% 0.14/0.46 (greater_or_equal(position(X!2, T0!1), position(X!2, T!0)) | (~((position(X!2, T0!1) = position(X!2, T!0)) | greater(position(X!2, T0!1), position(X!2, T!0))))),
% 0.14/0.46 inference(unit_resolution,[status(thm)],[160, 159])).
% 0.14/0.46 tff(162,plain,
% 0.14/0.46 (greater_or_equal(position(X!2, T0!1), position(X!2, T!0))),
% 0.14/0.46 inference(unit_resolution,[status(thm)],[161, 145])).
% 0.14/0.46 tff(163,plain,
% 0.14/0.46 ((~![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))) | (smaller(hazard_of_mortality(X!2, T0!1), hazard_of_mortality(X!2, T!0)) <=> greater(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1)))),
% 0.14/0.46 inference(quant_inst,[status(thm)],[])).
% 0.14/0.46 tff(164,plain,
% 0.14/0.46 (smaller(hazard_of_mortality(X!2, T0!1), hazard_of_mortality(X!2, T!0)) <=> greater(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1))),
% 0.14/0.46 inference(unit_resolution,[status(thm)],[163, 99])).
% 0.14/0.46 tff(165,plain,
% 0.14/0.46 (~greater(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1))),
% 0.14/0.46 inference(or_elim,[status(thm)],[8])).
% 0.14/0.46 tff(166,plain,
% 0.14/0.46 ((~(smaller(hazard_of_mortality(X!2, T0!1), hazard_of_mortality(X!2, T!0)) <=> greater(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1)))) | (~smaller(hazard_of_mortality(X!2, T0!1), hazard_of_mortality(X!2, T!0))) | greater(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1))),
% 0.14/0.46 inference(tautology,[status(thm)],[])).
% 0.14/0.46 tff(167,plain,
% 0.14/0.46 ((~(smaller(hazard_of_mortality(X!2, T0!1), hazard_of_mortality(X!2, T!0)) <=> greater(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1)))) | (~smaller(hazard_of_mortality(X!2, T0!1), hazard_of_mortality(X!2, T!0)))),
% 0.14/0.46 inference(unit_resolution,[status(thm)],[166, 165])).
% 0.14/0.46 tff(168,plain,
% 0.14/0.46 (~smaller(hazard_of_mortality(X!2, T0!1), hazard_of_mortality(X!2, T!0))),
% 0.14/0.46 inference(unit_resolution,[status(thm)],[167, 164])).
% 0.14/0.46 tff(169,plain,
% 0.14/0.46 ((~(smaller(hazard_of_mortality(X!2, T0!1), hazard_of_mortality(X!2, T!0)) | (~greater(capability(X!2, T0!1), capability(X!2, T!0))) | (~greater_or_equal(position(X!2, T0!1), position(X!2, T!0))))) | smaller(hazard_of_mortality(X!2, T0!1), hazard_of_mortality(X!2, T!0)) | (~greater(capability(X!2, T0!1), capability(X!2, T!0))) | (~greater_or_equal(position(X!2, T0!1), position(X!2, T!0)))),
% 0.14/0.46 inference(tautology,[status(thm)],[])).
% 0.14/0.46 tff(170,plain,
% 0.14/0.46 ((~(smaller(hazard_of_mortality(X!2, T0!1), hazard_of_mortality(X!2, T!0)) | (~greater(capability(X!2, T0!1), capability(X!2, T!0))) | (~greater_or_equal(position(X!2, T0!1), position(X!2, T!0))))) | (~greater(capability(X!2, T0!1), capability(X!2, T!0))) | (~greater_or_equal(position(X!2, T0!1), position(X!2, T!0)))),
% 0.14/0.46 inference(unit_resolution,[status(thm)],[169, 168])).
% 0.14/0.46 tff(171,plain,
% 0.14/0.46 (~(smaller(hazard_of_mortality(X!2, T0!1), hazard_of_mortality(X!2, T!0)) | (~greater(capability(X!2, T0!1), capability(X!2, T!0))) | (~greater_or_equal(position(X!2, T0!1), position(X!2, T!0))))),
% 0.14/0.46 inference(unit_resolution,[status(thm)],[170, 162, 105])).
% 0.14/0.46 tff(172,plain,
% 0.14/0.46 (((~(smaller(hazard_of_mortality(X!2, T0!1), hazard_of_mortality(X!2, T!0)) | (~greater(capability(X!2, T0!1), capability(X!2, T!0))) | (~greater_or_equal(position(X!2, T0!1), position(X!2, T!0))))) | (~(smaller(hazard_of_mortality(X!2, T0!1), hazard_of_mortality(X!2, T!0)) | (~greater_or_equal(capability(X!2, T0!1), capability(X!2, T!0))) | (~greater(position(X!2, T0!1), position(X!2, T!0))))) | (~((hazard_of_mortality(X!2, T0!1) = hazard_of_mortality(X!2, T!0)) | (~(capability(X!2, T0!1) = capability(X!2, T!0))) | (~(position(X!2, T0!1) = position(X!2, T!0)))))) | (smaller(hazard_of_mortality(X!2, T0!1), hazard_of_mortality(X!2, T!0)) | (~greater(capability(X!2, T0!1), capability(X!2, T!0))) | (~greater_or_equal(position(X!2, T0!1), position(X!2, T!0))))),
% 0.14/0.46 inference(tautology,[status(thm)],[])).
% 0.14/0.46 tff(173,plain,
% 0.14/0.46 ((~(smaller(hazard_of_mortality(X!2, T0!1), hazard_of_mortality(X!2, T!0)) | (~greater(capability(X!2, T0!1), capability(X!2, T!0))) | (~greater_or_equal(position(X!2, T0!1), position(X!2, T!0))))) | (~(smaller(hazard_of_mortality(X!2, T0!1), hazard_of_mortality(X!2, T!0)) | (~greater_or_equal(capability(X!2, T0!1), capability(X!2, T!0))) | (~greater(position(X!2, T0!1), position(X!2, T!0))))) | (~((hazard_of_mortality(X!2, T0!1) = hazard_of_mortality(X!2, T!0)) | (~(capability(X!2, T0!1) = capability(X!2, T!0))) | (~(position(X!2, T0!1) = position(X!2, T!0)))))),
% 0.14/0.46 inference(unit_resolution,[status(thm)],[172, 171])).
% 0.14/0.46 tff(174,assumption,(has_immunity(X!2, T0!1)), introduced(assumption)).
% 0.14/0.46 tff(175,plain,
% 0.14/0.46 (~has_endowment(X!2)),
% 0.14/0.46 inference(and_elim,[status(thm)],[9])).
% 0.14/0.46 tff(176,plain,
% 0.14/0.46 (^[X: $i, T: $i] : refl(((~has_immunity(X, T)) | has_endowment(X) | (~organization(X))) <=> ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X))))),
% 0.14/0.46 inference(bind,[status(th)],[])).
% 0.14/0.46 tff(177,plain,
% 0.14/0.46 (![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X))) <=> ![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))),
% 0.14/0.46 inference(quant_intro,[status(thm)],[176])).
% 0.14/0.46 tff(178,plain,
% 0.14/0.46 (^[X: $i, T: $i] : trans(monotonicity(trans(monotonicity(rewrite((organization(X) & (~has_endowment(X))) <=> (~(has_endowment(X) | (~organization(X))))), ((~(organization(X) & (~has_endowment(X)))) <=> (~(~(has_endowment(X) | (~organization(X))))))), rewrite((~(~(has_endowment(X) | (~organization(X))))) <=> (has_endowment(X) | (~organization(X)))), ((~(organization(X) & (~has_endowment(X)))) <=> (has_endowment(X) | (~organization(X))))), (((~has_immunity(X, T)) | (~(organization(X) & (~has_endowment(X))))) <=> ((~has_immunity(X, T)) | (has_endowment(X) | (~organization(X)))))), rewrite(((~has_immunity(X, T)) | (has_endowment(X) | (~organization(X)))) <=> ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))), (((~has_immunity(X, T)) | (~(organization(X) & (~has_endowment(X))))) <=> ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))))),
% 0.14/0.46 inference(bind,[status(th)],[])).
% 0.14/0.46 tff(179,plain,
% 0.14/0.46 (![X: $i, T: $i] : ((~has_immunity(X, T)) | (~(organization(X) & (~has_endowment(X))))) <=> ![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))),
% 0.14/0.46 inference(quant_intro,[status(thm)],[178])).
% 0.14/0.46 tff(180,plain,
% 0.14/0.46 (![X: $i, T: $i] : ((~has_immunity(X, T)) | (~(organization(X) & (~has_endowment(X))))) <=> ![X: $i, T: $i] : ((~has_immunity(X, T)) | (~(organization(X) & (~has_endowment(X)))))),
% 0.14/0.46 inference(rewrite,[status(thm)],[])).
% 0.14/0.46 tff(181,plain,
% 0.14/0.46 (^[X: $i, T: $i] : rewrite(((organization(X) & (~has_endowment(X))) => (~has_immunity(X, T))) <=> ((~has_immunity(X, T)) | (~(organization(X) & (~has_endowment(X))))))),
% 0.14/0.46 inference(bind,[status(th)],[])).
% 0.14/0.46 tff(182,plain,
% 0.14/0.46 (![X: $i, T: $i] : ((organization(X) & (~has_endowment(X))) => (~has_immunity(X, T))) <=> ![X: $i, T: $i] : ((~has_immunity(X, T)) | (~(organization(X) & (~has_endowment(X)))))),
% 0.14/0.46 inference(quant_intro,[status(thm)],[181])).
% 0.14/0.46 tff(183,axiom,(![X: $i, T: $i] : ((organization(X) & (~has_endowment(X))) => (~has_immunity(X, T)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','assumption_1')).
% 0.14/0.46 tff(184,plain,
% 0.14/0.46 (![X: $i, T: $i] : ((~has_immunity(X, T)) | (~(organization(X) & (~has_endowment(X)))))),
% 0.14/0.46 inference(modus_ponens,[status(thm)],[183, 182])).
% 0.14/0.46 tff(185,plain,
% 0.14/0.46 (![X: $i, T: $i] : ((~has_immunity(X, T)) | (~(organization(X) & (~has_endowment(X)))))),
% 0.14/0.46 inference(modus_ponens,[status(thm)],[184, 180])).
% 0.14/0.46 tff(186,plain,(
% 0.14/0.46 ![X: $i, T: $i] : ((~has_immunity(X, T)) | (~(organization(X) & (~has_endowment(X)))))),
% 0.14/0.46 inference(skolemize,[status(sab)],[185])).
% 0.14/0.46 tff(187,plain,
% 0.14/0.46 (![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))),
% 0.14/0.46 inference(modus_ponens,[status(thm)],[186, 179])).
% 0.14/0.46 tff(188,plain,
% 0.14/0.46 (![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))),
% 0.14/0.46 inference(modus_ponens,[status(thm)],[187, 177])).
% 0.14/0.46 tff(189,plain,
% 0.14/0.46 (((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | (has_endowment(X!2) | (~organization(X!2)) | (~has_immunity(X!2, T0!1)))) <=> ((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | has_endowment(X!2) | (~organization(X!2)) | (~has_immunity(X!2, T0!1)))),
% 0.14/0.46 inference(rewrite,[status(thm)],[])).
% 0.14/0.46 tff(190,plain,
% 0.14/0.46 (((~has_immunity(X!2, T0!1)) | has_endowment(X!2) | (~organization(X!2))) <=> (has_endowment(X!2) | (~organization(X!2)) | (~has_immunity(X!2, T0!1)))),
% 0.14/0.46 inference(rewrite,[status(thm)],[])).
% 0.14/0.46 tff(191,plain,
% 0.14/0.46 (((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | ((~has_immunity(X!2, T0!1)) | has_endowment(X!2) | (~organization(X!2)))) <=> ((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | (has_endowment(X!2) | (~organization(X!2)) | (~has_immunity(X!2, T0!1))))),
% 0.14/0.46 inference(monotonicity,[status(thm)],[190])).
% 0.14/0.46 tff(192,plain,
% 0.14/0.46 (((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | ((~has_immunity(X!2, T0!1)) | has_endowment(X!2) | (~organization(X!2)))) <=> ((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | has_endowment(X!2) | (~organization(X!2)) | (~has_immunity(X!2, T0!1)))),
% 0.14/0.46 inference(transitivity,[status(thm)],[191, 189])).
% 0.14/0.46 tff(193,plain,
% 0.14/0.46 ((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | ((~has_immunity(X!2, T0!1)) | has_endowment(X!2) | (~organization(X!2)))),
% 0.14/0.46 inference(quant_inst,[status(thm)],[])).
% 0.14/0.46 tff(194,plain,
% 0.14/0.46 ((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | has_endowment(X!2) | (~organization(X!2)) | (~has_immunity(X!2, T0!1))),
% 0.14/0.46 inference(modus_ponens,[status(thm)],[193, 192])).
% 0.14/0.46 tff(195,plain,
% 0.14/0.46 ($false),
% 0.14/0.46 inference(unit_resolution,[status(thm)],[194, 188, 10, 175, 174])).
% 0.14/0.46 tff(196,plain,(~has_immunity(X!2, T0!1)), inference(lemma,lemma(discharge,[]))).
% 0.14/0.46 tff(197,plain,
% 0.14/0.46 (![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))))))))),
% 0.14/0.46 inference(rewrite,[status(thm)],[])).
% 0.14/0.46 tff(198,plain,
% 0.14/0.46 (^[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)))))))))),
% 0.14/0.46 inference(bind,[status(th)],[])).
% 0.14/0.46 tff(199,plain,
% 0.14/0.46 (![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))))))))),
% 0.14/0.46 inference(quant_intro,[status(thm)],[198])).
% 0.14/0.46 tff(200,plain,
% 0.14/0.46 (^[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))))))))))),
% 0.14/0.46 inference(bind,[status(th)],[])).
% 0.14/0.46 tff(201,plain,
% 0.14/0.46 (![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))))))))),
% 0.14/0.46 inference(quant_intro,[status(thm)],[200])).
% 0.14/0.46 tff(202,plain,
% 0.14/0.46 (![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)))))),
% 0.14/0.46 inference(rewrite,[status(thm)],[])).
% 0.14/0.46 tff(203,plain,
% 0.14/0.46 (^[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)))))))),
% 0.14/0.47 inference(bind,[status(th)],[])).
% 0.14/0.47 tff(204,plain,
% 0.14/0.47 (![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)))))),
% 0.14/0.47 inference(quant_intro,[status(thm)],[203])).
% 0.14/0.47 tff(205,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')).
% 0.14/0.47 tff(206,plain,
% 0.14/0.47 (![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)))))),
% 0.14/0.47 inference(modus_ponens,[status(thm)],[205, 204])).
% 0.14/0.47 tff(207,plain,
% 0.14/0.47 (![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)))))),
% 0.14/0.47 inference(modus_ponens,[status(thm)],[206, 202])).
% 0.14/0.47 tff(208,plain,(
% 0.14/0.47 ![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)))))),
% 0.14/0.47 inference(skolemize,[status(sab)],[207])).
% 0.14/0.47 tff(209,plain,
% 0.14/0.47 (![X: $i, T0: $i, T: $i] : (has_immunity(X, T) | has_immunity(X, T0) | (~organization(X)) | (~((~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater(capability(X, T), capability(X, T0))) | (~greater_or_equal(position(X, T), position(X, T0))))) | (~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater_or_equal(capability(X, T), capability(X, T0))) | (~greater(position(X, T), position(X, T0))))) | (~((hazard_of_mortality(X, T) = hazard_of_mortality(X, T0)) | (~(capability(X, T) = capability(X, T0))) | (~(position(X, T) = position(X, T0))))))))),
% 0.14/0.47 inference(modus_ponens,[status(thm)],[208, 201])).
% 0.14/0.47 tff(210,plain,
% 0.14/0.47 (![X: $i, T0: $i, T: $i] : (has_immunity(X, T) | has_immunity(X, T0) | (~organization(X)) | (~((~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater(capability(X, T), capability(X, T0))) | (~greater_or_equal(position(X, T), position(X, T0))))) | (~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater_or_equal(capability(X, T), capability(X, T0))) | (~greater(position(X, T), position(X, T0))))) | (~((hazard_of_mortality(X, T) = hazard_of_mortality(X, T0)) | (~(capability(X, T) = capability(X, T0))) | (~(position(X, T) = position(X, T0))))))))),
% 0.14/0.47 inference(modus_ponens,[status(thm)],[209, 199])).
% 0.14/0.47 tff(211,plain,
% 0.14/0.47 (![X: $i, T0: $i, T: $i] : (has_immunity(X, T) | has_immunity(X, T0) | (~organization(X)) | (~((~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater(capability(X, T), capability(X, T0))) | (~greater_or_equal(position(X, T), position(X, T0))))) | (~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater_or_equal(capability(X, T), capability(X, T0))) | (~greater(position(X, T), position(X, T0))))) | (~((hazard_of_mortality(X, T) = hazard_of_mortality(X, T0)) | (~(capability(X, T) = capability(X, T0))) | (~(position(X, T) = position(X, T0))))))))),
% 0.14/0.47 inference(modus_ponens,[status(thm)],[210, 197])).
% 0.14/0.47 tff(212,plain,
% 0.14/0.47 (((~![X: $i, T0: $i, T: $i] : (has_immunity(X, T) | has_immunity(X, T0) | (~organization(X)) | (~((~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater(capability(X, T), capability(X, T0))) | (~greater_or_equal(position(X, T), position(X, T0))))) | (~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater_or_equal(capability(X, T), capability(X, T0))) | (~greater(position(X, T), position(X, T0))))) | (~((hazard_of_mortality(X, T) = hazard_of_mortality(X, T0)) | (~(capability(X, T) = capability(X, T0))) | (~(position(X, T) = position(X, T0))))))))) | (has_immunity(X!2, T!0) | (~organization(X!2)) | has_immunity(X!2, T0!1) | (~((~(smaller(hazard_of_mortality(X!2, T0!1), hazard_of_mortality(X!2, T!0)) | (~greater(capability(X!2, T0!1), capability(X!2, T!0))) | (~greater_or_equal(position(X!2, T0!1), position(X!2, T!0))))) | (~(smaller(hazard_of_mortality(X!2, T0!1), hazard_of_mortality(X!2, T!0)) | (~greater_or_equal(capability(X!2, T0!1), capability(X!2, T!0))) | (~greater(position(X!2, T0!1), position(X!2, T!0))))) | (~((hazard_of_mortality(X!2, T0!1) = hazard_of_mortality(X!2, T!0)) | (~(capability(X!2, T0!1) = capability(X!2, T!0))) | (~(position(X!2, T0!1) = position(X!2, T!0))))))))) <=> ((~![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!2, T!0) | (~organization(X!2)) | has_immunity(X!2, T0!1) | (~((~(smaller(hazard_of_mortality(X!2, T0!1), hazard_of_mortality(X!2, T!0)) | (~greater(capability(X!2, T0!1), capability(X!2, T!0))) | (~greater_or_equal(position(X!2, T0!1), position(X!2, T!0))))) | (~(smaller(hazard_of_mortality(X!2, T0!1), hazard_of_mortality(X!2, T!0)) | (~greater_or_equal(capability(X!2, T0!1), capability(X!2, T!0))) | (~greater(position(X!2, T0!1), position(X!2, T!0))))) | (~((hazard_of_mortality(X!2, T0!1) = hazard_of_mortality(X!2, T!0)) | (~(capability(X!2, T0!1) = capability(X!2, T!0))) | (~(position(X!2, T0!1) = position(X!2, T!0))))))))),
% 0.14/0.47 inference(rewrite,[status(thm)],[])).
% 0.14/0.47 tff(213,plain,
% 0.14/0.47 ((has_immunity(X!2, T0!1) | has_immunity(X!2, T!0) | (~organization(X!2)) | (~((~(smaller(hazard_of_mortality(X!2, T0!1), hazard_of_mortality(X!2, T!0)) | (~greater(capability(X!2, T0!1), capability(X!2, T!0))) | (~greater_or_equal(position(X!2, T0!1), position(X!2, T!0))))) | (~(smaller(hazard_of_mortality(X!2, T0!1), hazard_of_mortality(X!2, T!0)) | (~greater_or_equal(capability(X!2, T0!1), capability(X!2, T!0))) | (~greater(position(X!2, T0!1), position(X!2, T!0))))) | (~((hazard_of_mortality(X!2, T0!1) = hazard_of_mortality(X!2, T!0)) | (~(capability(X!2, T0!1) = capability(X!2, T!0))) | (~(position(X!2, T0!1) = position(X!2, T!0)))))))) <=> (has_immunity(X!2, T!0) | (~organization(X!2)) | has_immunity(X!2, T0!1) | (~((~(smaller(hazard_of_mortality(X!2, T0!1), hazard_of_mortality(X!2, T!0)) | (~greater(capability(X!2, T0!1), capability(X!2, T!0))) | (~greater_or_equal(position(X!2, T0!1), position(X!2, T!0))))) | (~(smaller(hazard_of_mortality(X!2, T0!1), hazard_of_mortality(X!2, T!0)) | (~greater_or_equal(capability(X!2, T0!1), capability(X!2, T!0))) | (~greater(position(X!2, T0!1), position(X!2, T!0))))) | (~((hazard_of_mortality(X!2, T0!1) = hazard_of_mortality(X!2, T!0)) | (~(capability(X!2, T0!1) = capability(X!2, T!0))) | (~(position(X!2, T0!1) = position(X!2, T!0))))))))),
% 0.14/0.47 inference(rewrite,[status(thm)],[])).
% 0.14/0.47 tff(214,plain,
% 0.14/0.47 ((~((~(smaller(hazard_of_mortality(X!2, T0!1), hazard_of_mortality(X!2, T!0)) | (~greater(capability(X!2, T0!1), capability(X!2, T!0))) | (~greater_or_equal(position(X!2, T0!1), position(X!2, T!0))))) | (~(smaller(hazard_of_mortality(X!2, T0!1), hazard_of_mortality(X!2, T!0)) | (~greater_or_equal(capability(X!2, T0!1), capability(X!2, T!0))) | (~greater(position(X!2, T0!1), position(X!2, T!0))))) | (~((hazard_of_mortality(X!2, T0!1) = hazard_of_mortality(X!2, T!0)) | (~(capability(X!2, T0!1) = capability(X!2, T!0))) | (~(position(X!2, T0!1) = position(X!2, T!0))))))) <=> (~((~(smaller(hazard_of_mortality(X!2, T0!1), hazard_of_mortality(X!2, T!0)) | (~greater(capability(X!2, T0!1), capability(X!2, T!0))) | (~greater_or_equal(position(X!2, T0!1), position(X!2, T!0))))) | (~(smaller(hazard_of_mortality(X!2, T0!1), hazard_of_mortality(X!2, T!0)) | (~greater_or_equal(capability(X!2, T0!1), capability(X!2, T!0))) | (~greater(position(X!2, T0!1), position(X!2, T!0))))) | (~((hazard_of_mortality(X!2, T0!1) = hazard_of_mortality(X!2, T!0)) | (~(capability(X!2, T0!1) = capability(X!2, T!0))) | (~(position(X!2, T0!1) = position(X!2, T!0)))))))),
% 0.14/0.47 inference(rewrite,[status(thm)],[])).
% 0.14/0.47 tff(215,plain,
% 0.14/0.47 ((has_immunity(X!2, T0!1) | has_immunity(X!2, T!0) | (~organization(X!2)) | (~((~(smaller(hazard_of_mortality(X!2, T0!1), hazard_of_mortality(X!2, T!0)) | (~greater(capability(X!2, T0!1), capability(X!2, T!0))) | (~greater_or_equal(position(X!2, T0!1), position(X!2, T!0))))) | (~(smaller(hazard_of_mortality(X!2, T0!1), hazard_of_mortality(X!2, T!0)) | (~greater_or_equal(capability(X!2, T0!1), capability(X!2, T!0))) | (~greater(position(X!2, T0!1), position(X!2, T!0))))) | (~((hazard_of_mortality(X!2, T0!1) = hazard_of_mortality(X!2, T!0)) | (~(capability(X!2, T0!1) = capability(X!2, T!0))) | (~(position(X!2, T0!1) = position(X!2, T!0)))))))) <=> (has_immunity(X!2, T0!1) | has_immunity(X!2, T!0) | (~organization(X!2)) | (~((~(smaller(hazard_of_mortality(X!2, T0!1), hazard_of_mortality(X!2, T!0)) | (~greater(capability(X!2, T0!1), capability(X!2, T!0))) | (~greater_or_equal(position(X!2, T0!1), position(X!2, T!0))))) | (~(smaller(hazard_of_mortality(X!2, T0!1), hazard_of_mortality(X!2, T!0)) | (~greater_or_equal(capability(X!2, T0!1), capability(X!2, T!0))) | (~greater(position(X!2, T0!1), position(X!2, T!0))))) | (~((hazard_of_mortality(X!2, T0!1) = hazard_of_mortality(X!2, T!0)) | (~(capability(X!2, T0!1) = capability(X!2, T!0))) | (~(position(X!2, T0!1) = position(X!2, T!0))))))))),
% 0.14/0.47 inference(monotonicity,[status(thm)],[214])).
% 0.14/0.47 tff(216,plain,
% 0.14/0.47 ((has_immunity(X!2, T0!1) | has_immunity(X!2, T!0) | (~organization(X!2)) | (~((~(smaller(hazard_of_mortality(X!2, T0!1), hazard_of_mortality(X!2, T!0)) | (~greater(capability(X!2, T0!1), capability(X!2, T!0))) | (~greater_or_equal(position(X!2, T0!1), position(X!2, T!0))))) | (~(smaller(hazard_of_mortality(X!2, T0!1), hazard_of_mortality(X!2, T!0)) | (~greater_or_equal(capability(X!2, T0!1), capability(X!2, T!0))) | (~greater(position(X!2, T0!1), position(X!2, T!0))))) | (~((hazard_of_mortality(X!2, T0!1) = hazard_of_mortality(X!2, T!0)) | (~(capability(X!2, T0!1) = capability(X!2, T!0))) | (~(position(X!2, T0!1) = position(X!2, T!0)))))))) <=> (has_immunity(X!2, T!0) | (~organization(X!2)) | has_immunity(X!2, T0!1) | (~((~(smaller(hazard_of_mortality(X!2, T0!1), hazard_of_mortality(X!2, T!0)) | (~greater(capability(X!2, T0!1), capability(X!2, T!0))) | (~greater_or_equal(position(X!2, T0!1), position(X!2, T!0))))) | (~(smaller(hazard_of_mortality(X!2, T0!1), hazard_of_mortality(X!2, T!0)) | (~greater_or_equal(capability(X!2, T0!1), capability(X!2, T!0))) | (~greater(position(X!2, T0!1), position(X!2, T!0))))) | (~((hazard_of_mortality(X!2, T0!1) = hazard_of_mortality(X!2, T!0)) | (~(capability(X!2, T0!1) = capability(X!2, T!0))) | (~(position(X!2, T0!1) = position(X!2, T!0))))))))),
% 0.14/0.48 inference(transitivity,[status(thm)],[215, 213])).
% 0.14/0.48 tff(217,plain,
% 0.14/0.48 (((~![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))))))))) | (has_immunity(X!2, T0!1) | has_immunity(X!2, T!0) | (~organization(X!2)) | (~((~(smaller(hazard_of_mortality(X!2, T0!1), hazard_of_mortality(X!2, T!0)) | (~greater(capability(X!2, T0!1), capability(X!2, T!0))) | (~greater_or_equal(position(X!2, T0!1), position(X!2, T!0))))) | (~(smaller(hazard_of_mortality(X!2, T0!1), hazard_of_mortality(X!2, T!0)) | (~greater_or_equal(capability(X!2, T0!1), capability(X!2, T!0))) | (~greater(position(X!2, T0!1), position(X!2, T!0))))) | (~((hazard_of_mortality(X!2, T0!1) = hazard_of_mortality(X!2, T!0)) | (~(capability(X!2, T0!1) = capability(X!2, T!0))) | (~(position(X!2, T0!1) = position(X!2, T!0))))))))) <=> ((~![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!2, T!0) | (~organization(X!2)) | has_immunity(X!2, T0!1) | (~((~(smaller(hazard_of_mortality(X!2, T0!1), hazard_of_mortality(X!2, T!0)) | (~greater(capability(X!2, T0!1), capability(X!2, T!0))) | (~greater_or_equal(position(X!2, T0!1), position(X!2, T!0))))) | (~(smaller(hazard_of_mortality(X!2, T0!1), hazard_of_mortality(X!2, T!0)) | (~greater_or_equal(capability(X!2, T0!1), capability(X!2, T!0))) | (~greater(position(X!2, T0!1), position(X!2, T!0))))) | (~((hazard_of_mortality(X!2, T0!1) = hazard_of_mortality(X!2, T!0)) | (~(capability(X!2, T0!1) = capability(X!2, T!0))) | (~(position(X!2, T0!1) = position(X!2, T!0)))))))))),
% 0.14/0.48 inference(monotonicity,[status(thm)],[216])).
% 0.14/0.48 tff(218,plain,
% 0.14/0.48 (((~![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))))))))) | (has_immunity(X!2, T0!1) | has_immunity(X!2, T!0) | (~organization(X!2)) | (~((~(smaller(hazard_of_mortality(X!2, T0!1), hazard_of_mortality(X!2, T!0)) | (~greater(capability(X!2, T0!1), capability(X!2, T!0))) | (~greater_or_equal(position(X!2, T0!1), position(X!2, T!0))))) | (~(smaller(hazard_of_mortality(X!2, T0!1), hazard_of_mortality(X!2, T!0)) | (~greater_or_equal(capability(X!2, T0!1), capability(X!2, T!0))) | (~greater(position(X!2, T0!1), position(X!2, T!0))))) | (~((hazard_of_mortality(X!2, T0!1) = hazard_of_mortality(X!2, T!0)) | (~(capability(X!2, T0!1) = capability(X!2, T!0))) | (~(position(X!2, T0!1) = position(X!2, T!0))))))))) <=> ((~![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!2, T!0) | (~organization(X!2)) | has_immunity(X!2, T0!1) | (~((~(smaller(hazard_of_mortality(X!2, T0!1), hazard_of_mortality(X!2, T!0)) | (~greater(capability(X!2, T0!1), capability(X!2, T!0))) | (~greater_or_equal(position(X!2, T0!1), position(X!2, T!0))))) | (~(smaller(hazard_of_mortality(X!2, T0!1), hazard_of_mortality(X!2, T!0)) | (~greater_or_equal(capability(X!2, T0!1), capability(X!2, T!0))) | (~greater(position(X!2, T0!1), position(X!2, T!0))))) | (~((hazard_of_mortality(X!2, T0!1) = hazard_of_mortality(X!2, T!0)) | (~(capability(X!2, T0!1) = capability(X!2, T!0))) | (~(position(X!2, T0!1) = position(X!2, T!0))))))))),
% 0.14/0.48 inference(transitivity,[status(thm)],[217, 212])).
% 0.14/0.48 tff(219,plain,
% 0.14/0.48 ((~![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))))))))) | (has_immunity(X!2, T0!1) | has_immunity(X!2, T!0) | (~organization(X!2)) | (~((~(smaller(hazard_of_mortality(X!2, T0!1), hazard_of_mortality(X!2, T!0)) | (~greater(capability(X!2, T0!1), capability(X!2, T!0))) | (~greater_or_equal(position(X!2, T0!1), position(X!2, T!0))))) | (~(smaller(hazard_of_mortality(X!2, T0!1), hazard_of_mortality(X!2, T!0)) | (~greater_or_equal(capability(X!2, T0!1), capability(X!2, T!0))) | (~greater(position(X!2, T0!1), position(X!2, T!0))))) | (~((hazard_of_mortality(X!2, T0!1) = hazard_of_mortality(X!2, T!0)) | (~(capability(X!2, T0!1) = capability(X!2, T!0))) | (~(position(X!2, T0!1) = position(X!2, T!0))))))))),
% 0.14/0.48 inference(quant_inst,[status(thm)],[])).
% 0.14/0.48 tff(220,plain,
% 0.14/0.48 ((~![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))))))))) | has_immunity(X!2, T!0) | (~organization(X!2)) | has_immunity(X!2, T0!1) | (~((~(smaller(hazard_of_mortality(X!2, T0!1), hazard_of_mortality(X!2, T!0)) | (~greater(capability(X!2, T0!1), capability(X!2, T!0))) | (~greater_or_equal(position(X!2, T0!1), position(X!2, T!0))))) | (~(smaller(hazard_of_mortality(X!2, T0!1), hazard_of_mortality(X!2, T!0)) | (~greater_or_equal(capability(X!2, T0!1), capability(X!2, T!0))) | (~greater(position(X!2, T0!1), position(X!2, T!0))))) | (~((hazard_of_mortality(X!2, T0!1) = hazard_of_mortality(X!2, T!0)) | (~(capability(X!2, T0!1) = capability(X!2, T!0))) | (~(position(X!2, T0!1) = position(X!2, T!0)))))))),
% 0.14/0.48 inference(modus_ponens,[status(thm)],[219, 218])).
% 0.14/0.48 tff(221,plain,
% 0.14/0.48 (has_immunity(X!2, T!0) | has_immunity(X!2, T0!1) | (~((~(smaller(hazard_of_mortality(X!2, T0!1), hazard_of_mortality(X!2, T!0)) | (~greater(capability(X!2, T0!1), capability(X!2, T!0))) | (~greater_or_equal(position(X!2, T0!1), position(X!2, T!0))))) | (~(smaller(hazard_of_mortality(X!2, T0!1), hazard_of_mortality(X!2, T!0)) | (~greater_or_equal(capability(X!2, T0!1), capability(X!2, T!0))) | (~greater(position(X!2, T0!1), position(X!2, T!0))))) | (~((hazard_of_mortality(X!2, T0!1) = hazard_of_mortality(X!2, T!0)) | (~(capability(X!2, T0!1) = capability(X!2, T!0))) | (~(position(X!2, T0!1) = position(X!2, T!0)))))))),
% 0.24/0.48 inference(unit_resolution,[status(thm)],[220, 211, 10])).
% 0.24/0.48 tff(222,plain,
% 0.24/0.48 (has_immunity(X!2, T!0)),
% 0.24/0.48 inference(unit_resolution,[status(thm)],[221, 196, 173])).
% 0.24/0.48 tff(223,plain,
% 0.24/0.48 (((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | (has_endowment(X!2) | (~organization(X!2)) | (~has_immunity(X!2, T!0)))) <=> ((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | has_endowment(X!2) | (~organization(X!2)) | (~has_immunity(X!2, T!0)))),
% 0.24/0.48 inference(rewrite,[status(thm)],[])).
% 0.24/0.48 tff(224,plain,
% 0.24/0.48 (((~has_immunity(X!2, T!0)) | has_endowment(X!2) | (~organization(X!2))) <=> (has_endowment(X!2) | (~organization(X!2)) | (~has_immunity(X!2, T!0)))),
% 0.24/0.48 inference(rewrite,[status(thm)],[])).
% 0.24/0.48 tff(225,plain,
% 0.24/0.48 (((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | ((~has_immunity(X!2, T!0)) | has_endowment(X!2) | (~organization(X!2)))) <=> ((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | (has_endowment(X!2) | (~organization(X!2)) | (~has_immunity(X!2, T!0))))),
% 0.24/0.48 inference(monotonicity,[status(thm)],[224])).
% 0.24/0.48 tff(226,plain,
% 0.24/0.48 (((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | ((~has_immunity(X!2, T!0)) | has_endowment(X!2) | (~organization(X!2)))) <=> ((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | has_endowment(X!2) | (~organization(X!2)) | (~has_immunity(X!2, T!0)))),
% 0.24/0.48 inference(transitivity,[status(thm)],[225, 223])).
% 0.24/0.48 tff(227,plain,
% 0.24/0.48 ((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | ((~has_immunity(X!2, T!0)) | has_endowment(X!2) | (~organization(X!2)))),
% 0.24/0.48 inference(quant_inst,[status(thm)],[])).
% 0.24/0.48 tff(228,plain,
% 0.24/0.48 ((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | has_endowment(X!2) | (~organization(X!2)) | (~has_immunity(X!2, T!0))),
% 0.24/0.48 inference(modus_ponens,[status(thm)],[227, 226])).
% 0.24/0.48 tff(229,plain,
% 0.24/0.48 ($false),
% 0.24/0.48 inference(unit_resolution,[status(thm)],[228, 188, 10, 175, 222])).
% 0.24/0.48 % SZS output end Proof
% 0.24/0.49 % E exiting
%------------------------------------------------------------------------------