%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : MGT046+1 : TPTP v9.3.0. Released v2.4.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : run_E %s %d THM
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 8 06:24:06 AM UTC 2026
% Result : Theorem 0.08s 0.33s
% Output : Proof 0.08s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : MGT046+1 : TPTP v9.3.0. Released v2.4.0.
% 0.00/0.01 % Command : run_E %s %d THM
% 0.02/0.28 % Computer : n012.cluster.edu
% 0.02/0.28 % Model : x86_64 x86_64
% 0.02/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.02/0.28 % Memory : 8046.5625MB
% 0.02/0.28 % OS : Linux 6.8.0-71-generic
% 0.02/0.28 % CPULimit : 300
% 0.02/0.28 % WCLimit : 300
% 0.02/0.28 % DateTime : Mon Sep 7 13:10:28 UTC 2026
% 0.02/0.29 % CPUTime :
% 0.08/0.33 % SZS status Theorem
% 0.08/0.33 % SZS output start Proof
% 0.08/0.33 tff(position_type, type, (
% 0.08/0.33 position: ( $i * $i ) > $i)).
% 0.08/0.33 tff(tptp_fun_T0_1_type, type, (
% 0.08/0.33 tptp_fun_T0_1: $i)).
% 0.08/0.33 tff(tptp_fun_X_2_type, type, (
% 0.08/0.33 tptp_fun_X_2: $i)).
% 0.08/0.33 tff(tptp_fun_T_0_type, type, (
% 0.08/0.33 tptp_fun_T_0: $i)).
% 0.08/0.33 tff(external_ties_type, type, (
% 0.08/0.33 external_ties: ( $i * $i ) > $i)).
% 0.08/0.33 tff(greater_type, type, (
% 0.08/0.33 greater: ( $i * $i ) > $o)).
% 0.08/0.33 tff(age_type, type, (
% 0.08/0.33 age: ( $i * $i ) > $i)).
% 0.08/0.33 tff(has_endowment_type, type, (
% 0.08/0.33 has_endowment: $i > $o)).
% 0.08/0.33 tff(organization_type, type, (
% 0.08/0.33 organization: $i > $o)).
% 0.08/0.33 tff(smaller_type, type, (
% 0.08/0.33 smaller: ( $i * $i ) > $o)).
% 0.08/0.33 tff(hazard_of_mortality_type, type, (
% 0.08/0.33 hazard_of_mortality: ( $i * $i ) > $i)).
% 0.08/0.33 tff(greater_or_equal_type, type, (
% 0.08/0.33 greater_or_equal: ( $i * $i ) > $o)).
% 0.08/0.33 tff(capability_type, type, (
% 0.08/0.33 capability: ( $i * $i ) > $i)).
% 0.08/0.33 tff(smaller_or_equal_type, type, (
% 0.08/0.33 smaller_or_equal: ( $i * $i ) > $o)).
% 0.08/0.33 tff(internal_friction_type, type, (
% 0.08/0.33 internal_friction: ( $i * $i ) > $i)).
% 0.08/0.33 tff(stock_of_knowledge_type, type, (
% 0.08/0.33 stock_of_knowledge: ( $i * $i ) > $i)).
% 0.08/0.33 tff(has_immunity_type, type, (
% 0.08/0.33 has_immunity: ( $i * $i ) > $o)).
% 0.08/0.33 tff(1,plain,
% 0.08/0.33 ((~![X: $i, T0: $i, T: $i] : ((~(organization(X) & (~has_endowment(X)) & greater(age(X, T), age(X, T0)))) | smaller(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)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))))),
% 0.08/0.33 inference(rewrite,[status(thm)],[])).
% 0.08/0.33 tff(2,plain,
% 0.08/0.33 ((~![X: $i, T0: $i, T: $i] : (((organization(X) & (~has_endowment(X))) & greater(age(X, T), age(X, T0))) => smaller(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)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))))),
% 0.08/0.33 inference(rewrite,[status(thm)],[])).
% 0.08/0.33 tff(3,axiom,(~![X: $i, T0: $i, T: $i] : (((organization(X) & (~has_endowment(X))) & greater(age(X, T), age(X, T0))) => smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','theorem_1')).
% 0.08/0.33 tff(4,plain,
% 0.08/0.33 (~![X: $i, T0: $i, T: $i] : ((~(organization(X) & (~has_endowment(X)) & greater(age(X, T), age(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)))),
% 0.08/0.33 inference(modus_ponens,[status(thm)],[3, 2])).
% 0.08/0.33 tff(5,plain,
% 0.08/0.33 (~![X: $i, T0: $i, T: $i] : ((~(organization(X) & (~has_endowment(X)) & greater(age(X, T), age(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)))),
% 0.08/0.33 inference(modus_ponens,[status(thm)],[4, 1])).
% 0.08/0.33 tff(6,plain,
% 0.08/0.33 (~![X: $i, T0: $i, T: $i] : ((~(organization(X) & (~has_endowment(X)) & greater(age(X, T), age(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)))),
% 0.08/0.33 inference(modus_ponens,[status(thm)],[5, 1])).
% 0.08/0.33 tff(7,plain,
% 0.08/0.33 (~![X: $i, T0: $i, T: $i] : ((~(organization(X) & (~has_endowment(X)) & greater(age(X, T), age(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)))),
% 0.08/0.33 inference(modus_ponens,[status(thm)],[6, 1])).
% 0.08/0.33 tff(8,plain,(
% 0.08/0.33 ~((~(organization(X!2) & (~has_endowment(X!2)) & greater(age(X!2, T!0), age(X!2, T0!1)))) | smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1)))),
% 0.08/0.33 inference(skolemize,[status(sab)],[7])).
% 0.08/0.33 tff(9,plain,
% 0.08/0.33 (organization(X!2) & (~has_endowment(X!2)) & greater(age(X!2, T!0), age(X!2, T0!1))),
% 0.08/0.33 inference(or_elim,[status(thm)],[8])).
% 0.08/0.33 tff(10,plain,
% 0.08/0.33 (greater(age(X!2, T!0), age(X!2, T0!1))),
% 0.08/0.33 inference(and_elim,[status(thm)],[9])).
% 0.08/0.33 tff(11,plain,
% 0.08/0.33 (organization(X!2)),
% 0.08/0.33 inference(and_elim,[status(thm)],[9])).
% 0.08/0.33 tff(12,plain,
% 0.08/0.33 (^[X: $i, T0: $i, T: $i] : refl((greater(external_ties(X, T), external_ties(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0)))) <=> (greater(external_ties(X, T), external_ties(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0)))))),
% 0.08/0.33 inference(bind,[status(th)],[])).
% 0.08/0.33 tff(13,plain,
% 0.08/0.33 (![X: $i, T0: $i, T: $i] : (greater(external_ties(X, T), external_ties(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0)))) <=> ![X: $i, T0: $i, T: $i] : (greater(external_ties(X, T), external_ties(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0))))),
% 0.08/0.33 inference(quant_intro,[status(thm)],[12])).
% 0.08/0.33 tff(14,plain,
% 0.08/0.33 (^[X: $i, T0: $i, T: $i] : trans(monotonicity(trans(monotonicity(rewrite((organization(X) & greater(age(X, T), age(X, T0))) <=> (~((~organization(X)) | (~greater(age(X, T), age(X, T0)))))), ((~(organization(X) & greater(age(X, T), age(X, T0)))) <=> (~(~((~organization(X)) | (~greater(age(X, T), age(X, T0)))))))), rewrite((~(~((~organization(X)) | (~greater(age(X, T), age(X, T0)))))) <=> ((~organization(X)) | (~greater(age(X, T), age(X, T0))))), ((~(organization(X) & greater(age(X, T), age(X, T0)))) <=> ((~organization(X)) | (~greater(age(X, T), age(X, T0)))))), (((~(organization(X) & greater(age(X, T), age(X, T0)))) | greater(external_ties(X, T), external_ties(X, T0))) <=> (((~organization(X)) | (~greater(age(X, T), age(X, T0)))) | greater(external_ties(X, T), external_ties(X, T0))))), rewrite((((~organization(X)) | (~greater(age(X, T), age(X, T0)))) | greater(external_ties(X, T), external_ties(X, T0))) <=> (greater(external_ties(X, T), external_ties(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0))))), (((~(organization(X) & greater(age(X, T), age(X, T0)))) | greater(external_ties(X, T), external_ties(X, T0))) <=> (greater(external_ties(X, T), external_ties(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0))))))),
% 0.08/0.33 inference(bind,[status(th)],[])).
% 0.08/0.33 tff(15,plain,
% 0.08/0.33 (![X: $i, T0: $i, T: $i] : ((~(organization(X) & greater(age(X, T), age(X, T0)))) | greater(external_ties(X, T), external_ties(X, T0))) <=> ![X: $i, T0: $i, T: $i] : (greater(external_ties(X, T), external_ties(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0))))),
% 0.08/0.33 inference(quant_intro,[status(thm)],[14])).
% 0.08/0.33 tff(16,plain,
% 0.08/0.33 (![X: $i, T0: $i, T: $i] : ((~(organization(X) & greater(age(X, T), age(X, T0)))) | greater(external_ties(X, T), external_ties(X, T0))) <=> ![X: $i, T0: $i, T: $i] : ((~(organization(X) & greater(age(X, T), age(X, T0)))) | greater(external_ties(X, T), external_ties(X, T0)))),
% 0.08/0.33 inference(rewrite,[status(thm)],[])).
% 0.08/0.33 tff(17,plain,
% 0.08/0.33 (^[X: $i, T0: $i, T: $i] : rewrite(((organization(X) & greater(age(X, T), age(X, T0))) => greater(external_ties(X, T), external_ties(X, T0))) <=> ((~(organization(X) & greater(age(X, T), age(X, T0)))) | greater(external_ties(X, T), external_ties(X, T0))))),
% 0.08/0.33 inference(bind,[status(th)],[])).
% 0.08/0.33 tff(18,plain,
% 0.08/0.33 (![X: $i, T0: $i, T: $i] : ((organization(X) & greater(age(X, T), age(X, T0))) => greater(external_ties(X, T), external_ties(X, T0))) <=> ![X: $i, T0: $i, T: $i] : ((~(organization(X) & greater(age(X, T), age(X, T0)))) | greater(external_ties(X, T), external_ties(X, T0)))),
% 0.08/0.33 inference(quant_intro,[status(thm)],[17])).
% 0.08/0.33 tff(19,axiom,(![X: $i, T0: $i, T: $i] : ((organization(X) & greater(age(X, T), age(X, T0))) => greater(external_ties(X, T), external_ties(X, T0)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','assumption_8')).
% 0.08/0.33 tff(20,plain,
% 0.08/0.33 (![X: $i, T0: $i, T: $i] : ((~(organization(X) & greater(age(X, T), age(X, T0)))) | greater(external_ties(X, T), external_ties(X, T0)))),
% 0.08/0.33 inference(modus_ponens,[status(thm)],[19, 18])).
% 0.08/0.33 tff(21,plain,
% 0.08/0.33 (![X: $i, T0: $i, T: $i] : ((~(organization(X) & greater(age(X, T), age(X, T0)))) | greater(external_ties(X, T), external_ties(X, T0)))),
% 0.08/0.33 inference(modus_ponens,[status(thm)],[20, 16])).
% 0.08/0.33 tff(22,plain,(
% 0.08/0.33 ![X: $i, T0: $i, T: $i] : ((~(organization(X) & greater(age(X, T), age(X, T0)))) | greater(external_ties(X, T), external_ties(X, T0)))),
% 0.08/0.33 inference(skolemize,[status(sab)],[21])).
% 0.08/0.33 tff(23,plain,
% 0.08/0.33 (![X: $i, T0: $i, T: $i] : (greater(external_ties(X, T), external_ties(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0))))),
% 0.08/0.33 inference(modus_ponens,[status(thm)],[22, 15])).
% 0.08/0.33 tff(24,plain,
% 0.08/0.33 (![X: $i, T0: $i, T: $i] : (greater(external_ties(X, T), external_ties(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0))))),
% 0.08/0.33 inference(modus_ponens,[status(thm)],[23, 13])).
% 0.08/0.33 tff(25,plain,
% 0.08/0.33 (((~![X: $i, T0: $i, T: $i] : (greater(external_ties(X, T), external_ties(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0))))) | ((~greater(age(X!2, T!0), age(X!2, T0!1))) | (~organization(X!2)) | greater(external_ties(X!2, T!0), external_ties(X!2, T0!1)))) <=> ((~![X: $i, T0: $i, T: $i] : (greater(external_ties(X, T), external_ties(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0))))) | (~greater(age(X!2, T!0), age(X!2, T0!1))) | (~organization(X!2)) | greater(external_ties(X!2, T!0), external_ties(X!2, T0!1)))),
% 0.08/0.33 inference(rewrite,[status(thm)],[])).
% 0.08/0.33 tff(26,plain,
% 0.08/0.33 ((greater(external_ties(X!2, T!0), external_ties(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(external_ties(X!2, T!0), external_ties(X!2, T0!1)))),
% 0.08/0.33 inference(rewrite,[status(thm)],[])).
% 0.08/0.33 tff(27,plain,
% 0.08/0.33 (((~![X: $i, T0: $i, T: $i] : (greater(external_ties(X, T), external_ties(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0))))) | (greater(external_ties(X!2, T!0), external_ties(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(external_ties(X, T), external_ties(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(external_ties(X!2, T!0), external_ties(X!2, T0!1))))),
% 0.08/0.33 inference(monotonicity,[status(thm)],[26])).
% 0.08/0.33 tff(28,plain,
% 0.08/0.33 (((~![X: $i, T0: $i, T: $i] : (greater(external_ties(X, T), external_ties(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0))))) | (greater(external_ties(X!2, T!0), external_ties(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(external_ties(X, T), external_ties(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(external_ties(X!2, T!0), external_ties(X!2, T0!1)))),
% 0.08/0.33 inference(transitivity,[status(thm)],[27, 25])).
% 0.08/0.33 tff(29,plain,
% 0.08/0.33 ((~![X: $i, T0: $i, T: $i] : (greater(external_ties(X, T), external_ties(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0))))) | (greater(external_ties(X!2, T!0), external_ties(X!2, T0!1)) | (~organization(X!2)) | (~greater(age(X!2, T!0), age(X!2, T0!1))))),
% 0.08/0.33 inference(quant_inst,[status(thm)],[])).
% 0.08/0.33 tff(30,plain,
% 0.08/0.33 ((~![X: $i, T0: $i, T: $i] : (greater(external_ties(X, T), external_ties(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0))))) | (~greater(age(X!2, T!0), age(X!2, T0!1))) | (~organization(X!2)) | greater(external_ties(X!2, T!0), external_ties(X!2, T0!1))),
% 0.08/0.33 inference(modus_ponens,[status(thm)],[29, 28])).
% 0.08/0.33 tff(31,plain,
% 0.08/0.33 (greater(external_ties(X!2, T!0), external_ties(X!2, T0!1))),
% 0.08/0.33 inference(unit_resolution,[status(thm)],[30, 24, 11, 10])).
% 0.08/0.33 tff(32,assumption,(~((~((~greater(external_ties(X!2, T!0), external_ties(X!2, T0!1))) | greater(position(X!2, T!0), position(X!2, T0!1)))) | (~((~(external_ties(X!2, T!0) = external_ties(X!2, T0!1))) | (position(X!2, T!0) = position(X!2, T0!1)))))), introduced(assumption)).
% 0.08/0.33 tff(33,plain,
% 0.08/0.33 (((~((~greater(external_ties(X!2, T!0), external_ties(X!2, T0!1))) | greater(position(X!2, T!0), position(X!2, T0!1)))) | (~((~(external_ties(X!2, T!0) = external_ties(X!2, T0!1))) | (position(X!2, T!0) = position(X!2, T0!1))))) | ((~greater(external_ties(X!2, T!0), external_ties(X!2, T0!1))) | greater(position(X!2, T!0), position(X!2, T0!1)))),
% 0.08/0.33 inference(tautology,[status(thm)],[])).
% 0.08/0.33 tff(34,plain,
% 0.08/0.33 ((~greater(external_ties(X!2, T!0), external_ties(X!2, T0!1))) | greater(position(X!2, T!0), position(X!2, T0!1))),
% 0.08/0.33 inference(unit_resolution,[status(thm)],[33, 32])).
% 0.08/0.33 tff(35,plain,
% 0.08/0.33 (^[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))))),
% 0.08/0.33 inference(bind,[status(th)],[])).
% 0.08/0.33 tff(36,plain,
% 0.08/0.33 (![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)))),
% 0.08/0.33 inference(quant_intro,[status(thm)],[35])).
% 0.08/0.33 tff(37,plain,
% 0.08/0.33 (![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)))),
% 0.08/0.33 inference(rewrite,[status(thm)],[])).
% 0.08/0.33 tff(38,plain,
% 0.08/0.33 (^[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))))),
% 0.08/0.33 inference(bind,[status(th)],[])).
% 0.08/0.33 tff(39,plain,
% 0.08/0.33 (![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)))),
% 0.08/0.33 inference(quant_intro,[status(thm)],[38])).
% 0.08/0.33 tff(40,axiom,(![X: $i, Y: $i] : (greater_or_equal(X, Y) <=> (greater(X, Y) | (X = Y)))), file('/export/starexec/sandbox2/benchmark/Axioms/MGT001+0.ax','definition_greater_or_equal')).
% 0.08/0.33 tff(41,plain,
% 0.08/0.33 (![X: $i, Y: $i] : (greater_or_equal(X, Y) <=> ((X = Y) | greater(X, Y)))),
% 0.08/0.33 inference(modus_ponens,[status(thm)],[40, 39])).
% 0.08/0.33 tff(42,plain,
% 0.08/0.33 (![X: $i, Y: $i] : (greater_or_equal(X, Y) <=> ((X = Y) | greater(X, Y)))),
% 0.08/0.33 inference(modus_ponens,[status(thm)],[41, 37])).
% 0.08/0.33 tff(43,plain,(
% 0.08/0.33 ![X: $i, Y: $i] : (greater_or_equal(X, Y) <=> ((X = Y) | greater(X, Y)))),
% 0.08/0.33 inference(skolemize,[status(sab)],[42])).
% 0.08/0.33 tff(44,plain,
% 0.08/0.33 (![X: $i, Y: $i] : (greater_or_equal(X, Y) <=> ((X = Y) | greater(X, Y)))),
% 0.08/0.33 inference(modus_ponens,[status(thm)],[43, 36])).
% 0.08/0.33 tff(45,plain,
% 0.08/0.33 ((~![X: $i, Y: $i] : (greater_or_equal(X, Y) <=> ((X = Y) | greater(X, Y)))) | (greater_or_equal(position(X!2, T!0), position(X!2, T0!1)) <=> ((position(X!2, T!0) = position(X!2, T0!1)) | greater(position(X!2, T!0), position(X!2, T0!1))))),
% 0.08/0.33 inference(quant_inst,[status(thm)],[])).
% 0.08/0.33 tff(46,plain,
% 0.08/0.33 (greater_or_equal(position(X!2, T!0), position(X!2, T0!1)) <=> ((position(X!2, T!0) = position(X!2, T0!1)) | greater(position(X!2, T!0), position(X!2, T0!1)))),
% 0.08/0.33 inference(unit_resolution,[status(thm)],[45, 44])).
% 0.08/0.33 tff(47,plain,
% 0.08/0.33 (![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))))))))),
% 0.08/0.33 inference(rewrite,[status(thm)],[])).
% 0.08/0.33 tff(48,plain,
% 0.08/0.33 (^[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)))))))))),
% 0.08/0.33 inference(bind,[status(th)],[])).
% 0.08/0.33 tff(49,plain,
% 0.08/0.33 (![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))))))))),
% 0.08/0.33 inference(quant_intro,[status(thm)],[48])).
% 0.08/0.33 tff(50,plain,
% 0.08/0.33 (^[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)))))))))),
% 0.08/0.33 inference(bind,[status(th)],[])).
% 0.08/0.33 tff(51,plain,
% 0.08/0.33 (![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))))))))),
% 0.08/0.33 inference(quant_intro,[status(thm)],[50])).
% 0.08/0.33 tff(52,plain,
% 0.08/0.33 (![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)))))),
% 0.08/0.33 inference(rewrite,[status(thm)],[])).
% 0.08/0.33 tff(53,plain,
% 0.08/0.33 (^[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)))))))),
% 0.08/0.33 inference(bind,[status(th)],[])).
% 0.08/0.33 tff(54,plain,
% 0.08/0.33 (![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)))))),
% 0.08/0.33 inference(quant_intro,[status(thm)],[53])).
% 0.08/0.33 tff(55,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/sandbox2/benchmark/theBenchmark.p','assumption_5')).
% 0.08/0.33 tff(56,plain,
% 0.08/0.33 (![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)))))),
% 0.08/0.33 inference(modus_ponens,[status(thm)],[55, 54])).
% 0.08/0.33 tff(57,plain,
% 0.08/0.33 (![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)))))),
% 0.08/0.33 inference(modus_ponens,[status(thm)],[56, 52])).
% 0.08/0.33 tff(58,plain,(
% 0.08/0.33 ![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)))))),
% 0.08/0.33 inference(skolemize,[status(sab)],[57])).
% 0.08/0.33 tff(59,plain,
% 0.08/0.33 (![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))))))))),
% 0.08/0.33 inference(modus_ponens,[status(thm)],[58, 51])).
% 0.08/0.33 tff(60,plain,
% 0.08/0.33 (![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))))))))),
% 0.08/0.33 inference(modus_ponens,[status(thm)],[59, 49])).
% 0.08/0.33 tff(61,plain,
% 0.08/0.33 (![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))))))))),
% 0.08/0.33 inference(modus_ponens,[status(thm)],[60, 47])).
% 0.08/0.33 tff(62,plain,
% 0.08/0.33 (((~![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))))))))),
% 0.08/0.33 inference(rewrite,[status(thm)],[])).
% 0.08/0.33 tff(63,plain,
% 0.08/0.33 ((~![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))))))))),
% 0.08/0.33 inference(quant_inst,[status(thm)],[])).
% 0.08/0.33 tff(64,plain,
% 0.08/0.33 ((~![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)))))))),
% 0.08/0.33 inference(modus_ponens,[status(thm)],[63, 62])).
% 0.08/0.33 tff(65,plain,
% 0.08/0.33 (~((~(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))))))),
% 0.08/0.33 inference(unit_resolution,[status(thm)],[64, 61, 11])).
% 0.08/0.33 tff(66,plain,
% 0.08/0.33 (((~(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)))))) | (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))))),
% 0.08/0.33 inference(tautology,[status(thm)],[])).
% 0.08/0.33 tff(67,plain,
% 0.08/0.33 (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)))),
% 0.08/0.33 inference(unit_resolution,[status(thm)],[66, 65])).
% 0.08/0.33 tff(68,assumption,(~(internal_friction(X!2, T!0) = internal_friction(X!2, T0!1))), introduced(assumption)).
% 0.08/0.33 tff(69,plain,
% 0.08/0.33 (^[X: $i, T0: $i, T: $i] : refl(((~organization(X)) | (internal_friction(X, T) = internal_friction(X, T0))) <=> ((~organization(X)) | (internal_friction(X, T) = internal_friction(X, T0))))),
% 0.08/0.33 inference(bind,[status(th)],[])).
% 0.08/0.33 tff(70,plain,
% 0.08/0.33 (![X: $i, T0: $i, T: $i] : ((~organization(X)) | (internal_friction(X, T) = internal_friction(X, T0))) <=> ![X: $i, T0: $i, T: $i] : ((~organization(X)) | (internal_friction(X, T) = internal_friction(X, T0)))),
% 0.08/0.33 inference(quant_intro,[status(thm)],[69])).
% 0.08/0.33 tff(71,plain,
% 0.08/0.33 (![X: $i, T0: $i, T: $i] : ((~organization(X)) | (internal_friction(X, T) = internal_friction(X, T0))) <=> ![X: $i, T0: $i, T: $i] : ((~organization(X)) | (internal_friction(X, T) = internal_friction(X, T0)))),
% 0.08/0.33 inference(rewrite,[status(thm)],[])).
% 0.08/0.33 tff(72,plain,
% 0.08/0.33 (^[X: $i, T0: $i, T: $i] : rewrite((organization(X) => (internal_friction(X, T) = internal_friction(X, T0))) <=> ((~organization(X)) | (internal_friction(X, T) = internal_friction(X, T0))))),
% 0.08/0.33 inference(bind,[status(th)],[])).
% 0.08/0.33 tff(73,plain,
% 0.08/0.33 (![X: $i, T0: $i, T: $i] : (organization(X) => (internal_friction(X, T) = internal_friction(X, T0))) <=> ![X: $i, T0: $i, T: $i] : ((~organization(X)) | (internal_friction(X, T) = internal_friction(X, T0)))),
% 0.08/0.33 inference(quant_intro,[status(thm)],[72])).
% 0.08/0.33 tff(74,axiom,(![X: $i, T0: $i, T: $i] : (organization(X) => (internal_friction(X, T) = internal_friction(X, T0)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','assumption_9')).
% 0.08/0.33 tff(75,plain,
% 0.08/0.33 (![X: $i, T0: $i, T: $i] : ((~organization(X)) | (internal_friction(X, T) = internal_friction(X, T0)))),
% 0.08/0.33 inference(modus_ponens,[status(thm)],[74, 73])).
% 0.08/0.33 tff(76,plain,
% 0.08/0.33 (![X: $i, T0: $i, T: $i] : ((~organization(X)) | (internal_friction(X, T) = internal_friction(X, T0)))),
% 0.08/0.33 inference(modus_ponens,[status(thm)],[75, 71])).
% 0.08/0.33 tff(77,plain,(
% 0.08/0.33 ![X: $i, T0: $i, T: $i] : ((~organization(X)) | (internal_friction(X, T) = internal_friction(X, T0)))),
% 0.08/0.33 inference(skolemize,[status(sab)],[76])).
% 0.08/0.33 tff(78,plain,
% 0.08/0.33 (![X: $i, T0: $i, T: $i] : ((~organization(X)) | (internal_friction(X, T) = internal_friction(X, T0)))),
% 0.08/0.33 inference(modus_ponens,[status(thm)],[77, 70])).
% 0.08/0.33 tff(79,plain,
% 0.08/0.33 (((~![X: $i, T0: $i, T: $i] : ((~organization(X)) | (internal_friction(X, T) = internal_friction(X, T0)))) | ((~organization(X!2)) | (internal_friction(X!2, T!0) = internal_friction(X!2, T0!1)))) <=> ((~![X: $i, T0: $i, T: $i] : ((~organization(X)) | (internal_friction(X, T) = internal_friction(X, T0)))) | (~organization(X!2)) | (internal_friction(X!2, T!0) = internal_friction(X!2, T0!1)))),
% 0.08/0.33 inference(rewrite,[status(thm)],[])).
% 0.08/0.33 tff(80,plain,
% 0.08/0.33 ((~![X: $i, T0: $i, T: $i] : ((~organization(X)) | (internal_friction(X, T) = internal_friction(X, T0)))) | ((~organization(X!2)) | (internal_friction(X!2, T!0) = internal_friction(X!2, T0!1)))),
% 0.08/0.33 inference(quant_inst,[status(thm)],[])).
% 0.08/0.33 tff(81,plain,
% 0.08/0.33 ((~![X: $i, T0: $i, T: $i] : ((~organization(X)) | (internal_friction(X, T) = internal_friction(X, T0)))) | (~organization(X!2)) | (internal_friction(X!2, T!0) = internal_friction(X!2, T0!1))),
% 0.08/0.33 inference(modus_ponens,[status(thm)],[80, 79])).
% 0.08/0.33 tff(82,plain,
% 0.08/0.33 ($false),
% 0.08/0.33 inference(unit_resolution,[status(thm)],[81, 78, 11, 68])).
% 0.08/0.33 tff(83,plain,(internal_friction(X!2, T!0) = internal_friction(X!2, T0!1)), inference(lemma,lemma(discharge,[]))).
% 0.08/0.33 tff(84,plain,
% 0.08/0.33 (internal_friction(X!2, T0!1) = internal_friction(X!2, T!0)),
% 0.08/0.33 inference(symmetry,[status(thm)],[83])).
% 0.08/0.33 tff(85,plain,
% 0.08/0.33 (smaller_or_equal(internal_friction(X!2, T!0), internal_friction(X!2, T0!1)) <=> smaller_or_equal(internal_friction(X!2, T!0), internal_friction(X!2, T!0))),
% 0.08/0.33 inference(monotonicity,[status(thm)],[84])).
% 0.08/0.33 tff(86,plain,
% 0.08/0.33 (smaller_or_equal(internal_friction(X!2, T!0), internal_friction(X!2, T!0)) <=> smaller_or_equal(internal_friction(X!2, T!0), internal_friction(X!2, T0!1))),
% 0.08/0.33 inference(symmetry,[status(thm)],[85])).
% 0.08/0.33 tff(87,plain,
% 0.08/0.33 (smaller_or_equal(internal_friction(X!2, T0!1), internal_friction(X!2, T0!1)) <=> smaller_or_equal(internal_friction(X!2, T!0), internal_friction(X!2, T!0))),
% 0.08/0.33 inference(monotonicity,[status(thm)],[84, 84])).
% 0.08/0.33 tff(88,assumption,(~smaller_or_equal(internal_friction(X!2, T0!1), internal_friction(X!2, T0!1))), introduced(assumption)).
% 0.08/0.33 tff(89,plain,
% 0.08/0.33 (^[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))))),
% 0.08/0.33 inference(bind,[status(th)],[])).
% 0.08/0.33 tff(90,plain,
% 0.08/0.33 (![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)))),
% 0.08/0.33 inference(quant_intro,[status(thm)],[89])).
% 0.08/0.33 tff(91,plain,
% 0.08/0.33 (![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)))),
% 0.08/0.33 inference(rewrite,[status(thm)],[])).
% 0.08/0.33 tff(92,plain,
% 0.08/0.33 (^[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))))),
% 0.08/0.33 inference(bind,[status(th)],[])).
% 0.08/0.33 tff(93,plain,
% 0.08/0.33 (![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)))),
% 0.08/0.33 inference(quant_intro,[status(thm)],[92])).
% 0.08/0.33 tff(94,axiom,(![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> (smaller(X, Y) | (X = Y)))), file('/export/starexec/sandbox2/benchmark/Axioms/MGT001+0.ax','definition_smaller_or_equal')).
% 0.08/0.33 tff(95,plain,
% 0.08/0.33 (![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))),
% 0.08/0.33 inference(modus_ponens,[status(thm)],[94, 93])).
% 0.08/0.33 tff(96,plain,
% 0.08/0.33 (![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))),
% 0.08/0.33 inference(modus_ponens,[status(thm)],[95, 91])).
% 0.08/0.33 tff(97,plain,(
% 0.08/0.33 ![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))),
% 0.08/0.33 inference(skolemize,[status(sab)],[96])).
% 0.08/0.33 tff(98,plain,
% 0.08/0.33 (![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))),
% 0.08/0.33 inference(modus_ponens,[status(thm)],[97, 90])).
% 0.08/0.33 tff(99,plain,
% 0.08/0.33 (((~![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))) | smaller_or_equal(internal_friction(X!2, T0!1), internal_friction(X!2, T0!1))) <=> ((~![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))) | smaller_or_equal(internal_friction(X!2, T0!1), internal_friction(X!2, T0!1)))),
% 0.08/0.33 inference(rewrite,[status(thm)],[])).
% 0.08/0.33 tff(100,plain,
% 0.08/0.33 ((smaller_or_equal(internal_friction(X!2, T0!1), internal_friction(X!2, T0!1)) <=> $true) <=> smaller_or_equal(internal_friction(X!2, T0!1), internal_friction(X!2, T0!1))),
% 0.08/0.33 inference(rewrite,[status(thm)],[])).
% 0.08/0.33 tff(101,plain,
% 0.08/0.33 (($true | smaller(internal_friction(X!2, T0!1), internal_friction(X!2, T0!1))) <=> $true),
% 0.08/0.33 inference(rewrite,[status(thm)],[])).
% 0.08/0.33 tff(102,plain,
% 0.08/0.33 ((internal_friction(X!2, T0!1) = internal_friction(X!2, T0!1)) <=> $true),
% 0.08/0.33 inference(rewrite,[status(thm)],[])).
% 0.08/0.33 tff(103,plain,
% 0.08/0.33 (((internal_friction(X!2, T0!1) = internal_friction(X!2, T0!1)) | smaller(internal_friction(X!2, T0!1), internal_friction(X!2, T0!1))) <=> ($true | smaller(internal_friction(X!2, T0!1), internal_friction(X!2, T0!1)))),
% 0.08/0.33 inference(monotonicity,[status(thm)],[102])).
% 0.08/0.33 tff(104,plain,
% 0.08/0.33 (((internal_friction(X!2, T0!1) = internal_friction(X!2, T0!1)) | smaller(internal_friction(X!2, T0!1), internal_friction(X!2, T0!1))) <=> $true),
% 0.08/0.33 inference(transitivity,[status(thm)],[103, 101])).
% 0.08/0.33 tff(105,plain,
% 0.08/0.33 ((smaller_or_equal(internal_friction(X!2, T0!1), internal_friction(X!2, T0!1)) <=> ((internal_friction(X!2, T0!1) = internal_friction(X!2, T0!1)) | smaller(internal_friction(X!2, T0!1), internal_friction(X!2, T0!1)))) <=> (smaller_or_equal(internal_friction(X!2, T0!1), internal_friction(X!2, T0!1)) <=> $true)),
% 0.08/0.33 inference(monotonicity,[status(thm)],[104])).
% 0.08/0.33 tff(106,plain,
% 0.08/0.33 ((smaller_or_equal(internal_friction(X!2, T0!1), internal_friction(X!2, T0!1)) <=> ((internal_friction(X!2, T0!1) = internal_friction(X!2, T0!1)) | smaller(internal_friction(X!2, T0!1), internal_friction(X!2, T0!1)))) <=> smaller_or_equal(internal_friction(X!2, T0!1), internal_friction(X!2, T0!1))),
% 0.08/0.33 inference(transitivity,[status(thm)],[105, 100])).
% 0.08/0.33 tff(107,plain,
% 0.08/0.33 (((~![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))) | (smaller_or_equal(internal_friction(X!2, T0!1), internal_friction(X!2, T0!1)) <=> ((internal_friction(X!2, T0!1) = internal_friction(X!2, T0!1)) | smaller(internal_friction(X!2, T0!1), internal_friction(X!2, T0!1))))) <=> ((~![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))) | smaller_or_equal(internal_friction(X!2, T0!1), internal_friction(X!2, T0!1)))),
% 0.08/0.33 inference(monotonicity,[status(thm)],[106])).
% 0.08/0.33 tff(108,plain,
% 0.08/0.33 (((~![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))) | (smaller_or_equal(internal_friction(X!2, T0!1), internal_friction(X!2, T0!1)) <=> ((internal_friction(X!2, T0!1) = internal_friction(X!2, T0!1)) | smaller(internal_friction(X!2, T0!1), internal_friction(X!2, T0!1))))) <=> ((~![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))) | smaller_or_equal(internal_friction(X!2, T0!1), internal_friction(X!2, T0!1)))),
% 0.08/0.33 inference(transitivity,[status(thm)],[107, 99])).
% 0.08/0.33 tff(109,plain,
% 0.08/0.33 ((~![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))) | (smaller_or_equal(internal_friction(X!2, T0!1), internal_friction(X!2, T0!1)) <=> ((internal_friction(X!2, T0!1) = internal_friction(X!2, T0!1)) | smaller(internal_friction(X!2, T0!1), internal_friction(X!2, T0!1))))),
% 0.08/0.33 inference(quant_inst,[status(thm)],[])).
% 0.08/0.33 tff(110,plain,
% 0.08/0.33 ((~![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))) | smaller_or_equal(internal_friction(X!2, T0!1), internal_friction(X!2, T0!1))),
% 0.08/0.33 inference(modus_ponens,[status(thm)],[109, 108])).
% 0.08/0.33 tff(111,plain,
% 0.08/0.33 ($false),
% 0.08/0.33 inference(unit_resolution,[status(thm)],[110, 98, 88])).
% 0.08/0.33 tff(112,plain,(smaller_or_equal(internal_friction(X!2, T0!1), internal_friction(X!2, T0!1))), inference(lemma,lemma(discharge,[]))).
% 0.08/0.33 tff(113,plain,
% 0.08/0.33 (smaller_or_equal(internal_friction(X!2, T!0), internal_friction(X!2, T!0))),
% 0.08/0.33 inference(modus_ponens,[status(thm)],[112, 87])).
% 0.08/0.33 tff(114,plain,
% 0.08/0.33 (smaller_or_equal(internal_friction(X!2, T!0), internal_friction(X!2, T0!1))),
% 0.08/0.33 inference(modus_ponens,[status(thm)],[113, 86])).
% 0.08/0.33 tff(115,plain,
% 0.08/0.33 (^[X: $i, T0: $i, T: $i] : refl((greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0)))) <=> (greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0)))))),
% 0.08/0.33 inference(bind,[status(th)],[])).
% 0.08/0.33 tff(116,plain,
% 0.08/0.33 (![X: $i, T0: $i, T: $i] : (greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0)))) <=> ![X: $i, T0: $i, T: $i] : (greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0))))),
% 0.08/0.33 inference(quant_intro,[status(thm)],[115])).
% 0.08/0.33 tff(117,plain,
% 0.08/0.33 (^[X: $i, T0: $i, T: $i] : trans(monotonicity(trans(monotonicity(rewrite((organization(X) & greater(age(X, T), age(X, T0))) <=> (~((~organization(X)) | (~greater(age(X, T), age(X, T0)))))), ((~(organization(X) & greater(age(X, T), age(X, T0)))) <=> (~(~((~organization(X)) | (~greater(age(X, T), age(X, T0)))))))), rewrite((~(~((~organization(X)) | (~greater(age(X, T), age(X, T0)))))) <=> ((~organization(X)) | (~greater(age(X, T), age(X, T0))))), ((~(organization(X) & greater(age(X, T), age(X, T0)))) <=> ((~organization(X)) | (~greater(age(X, T), age(X, T0)))))), (((~(organization(X) & greater(age(X, T), age(X, T0)))) | greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))) <=> (((~organization(X)) | (~greater(age(X, T), age(X, T0)))) | greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))))), rewrite((((~organization(X)) | (~greater(age(X, T), age(X, T0)))) | greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))) <=> (greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0))))), (((~(organization(X) & greater(age(X, T), age(X, T0)))) | greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))) <=> (greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0))))))),
% 0.08/0.33 inference(bind,[status(th)],[])).
% 0.08/0.33 tff(118,plain,
% 0.08/0.33 (![X: $i, T0: $i, T: $i] : ((~(organization(X) & greater(age(X, T), age(X, T0)))) | greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))) <=> ![X: $i, T0: $i, T: $i] : (greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0))))),
% 0.08/0.33 inference(quant_intro,[status(thm)],[117])).
% 0.08/0.33 tff(119,plain,
% 0.08/0.33 (![X: $i, T0: $i, T: $i] : ((~(organization(X) & greater(age(X, T), age(X, T0)))) | greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))) <=> ![X: $i, T0: $i, T: $i] : ((~(organization(X) & greater(age(X, T), age(X, T0)))) | greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)))),
% 0.08/0.33 inference(rewrite,[status(thm)],[])).
% 0.08/0.33 tff(120,plain,
% 0.08/0.33 (^[X: $i, T0: $i, T: $i] : rewrite(((organization(X) & greater(age(X, T), age(X, T0))) => greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))) <=> ((~(organization(X) & greater(age(X, T), age(X, T0)))) | greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))))),
% 0.08/0.33 inference(bind,[status(th)],[])).
% 0.08/0.33 tff(121,plain,
% 0.08/0.33 (![X: $i, T0: $i, T: $i] : ((organization(X) & greater(age(X, T), age(X, T0))) => greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))) <=> ![X: $i, T0: $i, T: $i] : ((~(organization(X) & greater(age(X, T), age(X, T0)))) | greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)))),
% 0.08/0.33 inference(quant_intro,[status(thm)],[120])).
% 0.08/0.33 tff(122,axiom,(![X: $i, T0: $i, T: $i] : ((organization(X) & greater(age(X, T), age(X, T0))) => greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','assumption_7')).
% 0.08/0.33 tff(123,plain,
% 0.08/0.33 (![X: $i, T0: $i, T: $i] : ((~(organization(X) & greater(age(X, T), age(X, T0)))) | greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)))),
% 0.08/0.33 inference(modus_ponens,[status(thm)],[122, 121])).
% 0.08/0.33 tff(124,plain,
% 0.08/0.34 (![X: $i, T0: $i, T: $i] : ((~(organization(X) & greater(age(X, T), age(X, T0)))) | greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)))),
% 0.08/0.34 inference(modus_ponens,[status(thm)],[123, 119])).
% 0.08/0.34 tff(125,plain,(
% 0.08/0.34 ![X: $i, T0: $i, T: $i] : ((~(organization(X) & greater(age(X, T), age(X, T0)))) | greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)))),
% 0.08/0.34 inference(skolemize,[status(sab)],[124])).
% 0.08/0.34 tff(126,plain,
% 0.08/0.34 (![X: $i, T0: $i, T: $i] : (greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0))))),
% 0.08/0.34 inference(modus_ponens,[status(thm)],[125, 118])).
% 0.08/0.34 tff(127,plain,
% 0.08/0.34 (![X: $i, T0: $i, T: $i] : (greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0))))),
% 0.08/0.34 inference(modus_ponens,[status(thm)],[126, 116])).
% 0.08/0.34 tff(128,plain,
% 0.08/0.34 (((~![X: $i, T0: $i, T: $i] : (greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0))))) | ((~greater(age(X!2, T!0), age(X!2, T0!1))) | (~organization(X!2)) | greater(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1)))) <=> ((~![X: $i, T0: $i, T: $i] : (greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0))))) | (~greater(age(X!2, T!0), age(X!2, T0!1))) | (~organization(X!2)) | greater(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1)))),
% 0.08/0.34 inference(rewrite,[status(thm)],[])).
% 0.08/0.34 tff(129,plain,
% 0.08/0.34 ((greater(stock_of_knowledge(X!2, T!0), stock_of_knowledge(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(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1)))),
% 0.08/0.34 inference(rewrite,[status(thm)],[])).
% 0.08/0.34 tff(130,plain,
% 0.08/0.34 (((~![X: $i, T0: $i, T: $i] : (greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0))))) | (greater(stock_of_knowledge(X!2, T!0), stock_of_knowledge(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(stock_of_knowledge(X, T), stock_of_knowledge(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(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1))))),
% 0.08/0.34 inference(monotonicity,[status(thm)],[129])).
% 0.08/0.34 tff(131,plain,
% 0.08/0.34 (((~![X: $i, T0: $i, T: $i] : (greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0))))) | (greater(stock_of_knowledge(X!2, T!0), stock_of_knowledge(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(stock_of_knowledge(X, T), stock_of_knowledge(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(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1)))),
% 0.08/0.34 inference(transitivity,[status(thm)],[130, 128])).
% 0.08/0.34 tff(132,plain,
% 0.08/0.34 ((~![X: $i, T0: $i, T: $i] : (greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0))))) | (greater(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1)) | (~organization(X!2)) | (~greater(age(X!2, T!0), age(X!2, T0!1))))),
% 0.08/0.34 inference(quant_inst,[status(thm)],[])).
% 0.08/0.34 tff(133,plain,
% 0.08/0.34 ((~![X: $i, T0: $i, T: $i] : (greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0))))) | (~greater(age(X!2, T!0), age(X!2, T0!1))) | (~organization(X!2)) | greater(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1))),
% 0.08/0.34 inference(modus_ponens,[status(thm)],[132, 131])).
% 0.08/0.34 tff(134,plain,
% 0.08/0.34 (greater(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1))),
% 0.08/0.34 inference(unit_resolution,[status(thm)],[133, 127, 11, 10])).
% 0.08/0.34 tff(135,plain,
% 0.08/0.34 ((~(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))))) | 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)))),
% 0.08/0.34 inference(tautology,[status(thm)],[])).
% 0.08/0.34 tff(136,plain,
% 0.08/0.34 (greater(capability(X!2, T!0), capability(X!2, T0!1))),
% 0.08/0.34 inference(unit_resolution,[status(thm)],[135, 134, 114, 67])).
% 0.08/0.34 tff(137,assumption,(has_immunity(X!2, T0!1)), introduced(assumption)).
% 0.08/0.34 tff(138,plain,
% 0.08/0.34 (~has_endowment(X!2)),
% 0.08/0.34 inference(and_elim,[status(thm)],[9])).
% 0.08/0.34 tff(139,plain,
% 0.08/0.34 (^[X: $i, T: $i] : refl(((~has_immunity(X, T)) | has_endowment(X) | (~organization(X))) <=> ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X))))),
% 0.08/0.34 inference(bind,[status(th)],[])).
% 0.08/0.34 tff(140,plain,
% 0.08/0.34 (![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)))),
% 0.08/0.34 inference(quant_intro,[status(thm)],[139])).
% 0.08/0.34 tff(141,plain,
% 0.08/0.34 (^[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)))))),
% 0.08/0.34 inference(bind,[status(th)],[])).
% 0.08/0.34 tff(142,plain,
% 0.08/0.34 (![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)))),
% 0.08/0.34 inference(quant_intro,[status(thm)],[141])).
% 0.08/0.34 tff(143,plain,
% 0.08/0.34 (![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)))))),
% 0.08/0.34 inference(rewrite,[status(thm)],[])).
% 0.08/0.34 tff(144,plain,
% 0.08/0.34 (^[X: $i, T: $i] : rewrite(((organization(X) & (~has_endowment(X))) => (~has_immunity(X, T))) <=> ((~has_immunity(X, T)) | (~(organization(X) & (~has_endowment(X))))))),
% 0.08/0.34 inference(bind,[status(th)],[])).
% 0.08/0.34 tff(145,plain,
% 0.08/0.34 (![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)))))),
% 0.08/0.34 inference(quant_intro,[status(thm)],[144])).
% 0.08/0.34 tff(146,axiom,(![X: $i, T: $i] : ((organization(X) & (~has_endowment(X))) => (~has_immunity(X, T)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','assumption_1')).
% 0.08/0.34 tff(147,plain,
% 0.08/0.34 (![X: $i, T: $i] : ((~has_immunity(X, T)) | (~(organization(X) & (~has_endowment(X)))))),
% 0.08/0.34 inference(modus_ponens,[status(thm)],[146, 145])).
% 0.08/0.34 tff(148,plain,
% 0.08/0.34 (![X: $i, T: $i] : ((~has_immunity(X, T)) | (~(organization(X) & (~has_endowment(X)))))),
% 0.08/0.34 inference(modus_ponens,[status(thm)],[147, 143])).
% 0.08/0.34 tff(149,plain,(
% 0.08/0.34 ![X: $i, T: $i] : ((~has_immunity(X, T)) | (~(organization(X) & (~has_endowment(X)))))),
% 0.08/0.34 inference(skolemize,[status(sab)],[148])).
% 0.08/0.34 tff(150,plain,
% 0.08/0.34 (![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))),
% 0.08/0.34 inference(modus_ponens,[status(thm)],[149, 142])).
% 0.08/0.34 tff(151,plain,
% 0.08/0.34 (![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))),
% 0.08/0.34 inference(modus_ponens,[status(thm)],[150, 140])).
% 0.08/0.34 tff(152,plain,
% 0.08/0.34 (((~![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)))),
% 0.08/0.34 inference(rewrite,[status(thm)],[])).
% 0.08/0.34 tff(153,plain,
% 0.08/0.34 (((~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)))),
% 0.08/0.34 inference(rewrite,[status(thm)],[])).
% 0.08/0.34 tff(154,plain,
% 0.08/0.34 (((~![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))))),
% 0.08/0.34 inference(monotonicity,[status(thm)],[153])).
% 0.08/0.34 tff(155,plain,
% 0.08/0.34 (((~![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)))),
% 0.08/0.34 inference(transitivity,[status(thm)],[154, 152])).
% 0.08/0.34 tff(156,plain,
% 0.08/0.34 ((~![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)))),
% 0.08/0.34 inference(quant_inst,[status(thm)],[])).
% 0.08/0.34 tff(157,plain,
% 0.08/0.34 ((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | has_endowment(X!2) | (~organization(X!2)) | (~has_immunity(X!2, T0!1))),
% 0.08/0.34 inference(modus_ponens,[status(thm)],[156, 155])).
% 0.08/0.34 tff(158,plain,
% 0.08/0.34 ($false),
% 0.08/0.34 inference(unit_resolution,[status(thm)],[157, 151, 11, 138, 137])).
% 0.08/0.34 tff(159,plain,(~has_immunity(X!2, T0!1)), inference(lemma,lemma(discharge,[]))).
% 0.08/0.34 tff(160,assumption,(has_immunity(X!2, T!0)), introduced(assumption)).
% 0.08/0.34 tff(161,plain,
% 0.08/0.34 (((~![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)))),
% 0.08/0.34 inference(rewrite,[status(thm)],[])).
% 0.08/0.34 tff(162,plain,
% 0.08/0.34 (((~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)))),
% 0.08/0.34 inference(rewrite,[status(thm)],[])).
% 0.08/0.34 tff(163,plain,
% 0.08/0.34 (((~![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))))),
% 0.08/0.34 inference(monotonicity,[status(thm)],[162])).
% 0.08/0.34 tff(164,plain,
% 0.08/0.34 (((~![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)))),
% 0.08/0.34 inference(transitivity,[status(thm)],[163, 161])).
% 0.08/0.34 tff(165,plain,
% 0.08/0.34 ((~![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)))),
% 0.08/0.34 inference(quant_inst,[status(thm)],[])).
% 0.08/0.34 tff(166,plain,
% 0.08/0.34 ((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | has_endowment(X!2) | (~organization(X!2)) | (~has_immunity(X!2, T!0))),
% 0.08/0.34 inference(modus_ponens,[status(thm)],[165, 164])).
% 0.08/0.34 tff(167,plain,
% 0.08/0.34 ($false),
% 0.08/0.34 inference(unit_resolution,[status(thm)],[166, 151, 11, 138, 160])).
% 0.08/0.34 tff(168,plain,(~has_immunity(X!2, T!0)), inference(lemma,lemma(discharge,[]))).
% 0.08/0.34 tff(169,plain,
% 0.08/0.34 (![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))))))))),
% 0.08/0.34 inference(rewrite,[status(thm)],[])).
% 0.08/0.34 tff(170,plain,
% 0.08/0.34 (^[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)))))))))),
% 0.08/0.34 inference(bind,[status(th)],[])).
% 0.08/0.34 tff(171,plain,
% 0.08/0.34 (![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))))))))),
% 0.08/0.34 inference(quant_intro,[status(thm)],[170])).
% 0.08/0.34 tff(172,plain,
% 0.08/0.34 (^[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))))))))))),
% 0.08/0.34 inference(bind,[status(th)],[])).
% 0.08/0.34 tff(173,plain,
% 0.08/0.34 (![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))))))))),
% 0.08/0.34 inference(quant_intro,[status(thm)],[172])).
% 0.08/0.34 tff(174,plain,
% 0.08/0.34 (![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)))))),
% 0.08/0.34 inference(rewrite,[status(thm)],[])).
% 0.08/0.34 tff(175,plain,
% 0.08/0.34 (^[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)))))))),
% 0.08/0.34 inference(bind,[status(th)],[])).
% 0.08/0.34 tff(176,plain,
% 0.08/0.34 (![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)))))),
% 0.08/0.34 inference(quant_intro,[status(thm)],[175])).
% 0.08/0.34 tff(177,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/sandbox2/benchmark/theBenchmark.p','assumption_4')).
% 0.08/0.34 tff(178,plain,
% 0.08/0.34 (![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)))))),
% 0.08/0.34 inference(modus_ponens,[status(thm)],[177, 176])).
% 0.08/0.34 tff(179,plain,
% 0.08/0.34 (![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)))))),
% 0.08/0.34 inference(modus_ponens,[status(thm)],[178, 174])).
% 0.08/0.34 tff(180,plain,(
% 0.08/0.34 ![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)))))),
% 0.08/0.34 inference(skolemize,[status(sab)],[179])).
% 0.08/0.34 tff(181,plain,
% 0.08/0.34 (![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))))))))),
% 0.08/0.34 inference(modus_ponens,[status(thm)],[180, 173])).
% 0.08/0.34 tff(182,plain,
% 0.08/0.34 (![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))))))))),
% 0.08/0.34 inference(modus_ponens,[status(thm)],[181, 171])).
% 0.08/0.34 tff(183,plain,
% 0.08/0.34 (![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))))))))),
% 0.08/0.34 inference(modus_ponens,[status(thm)],[182, 169])).
% 0.08/0.34 tff(184,plain,
% 0.08/0.34 (((~![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, T!0), hazard_of_mortality(X!2, T0!1)) | (~greater(capability(X!2, T!0), capability(X!2, T0!1))) | (~greater_or_equal(position(X!2, T!0), position(X!2, T0!1))))) | (~(smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1)) | (~greater_or_equal(capability(X!2, T!0), capability(X!2, T0!1))) | (~greater(position(X!2, T!0), position(X!2, T0!1))))) | (~((hazard_of_mortality(X!2, T!0) = hazard_of_mortality(X!2, T0!1)) | (~(capability(X!2, T!0) = capability(X!2, T0!1))) | (~(position(X!2, T!0) = position(X!2, T0!1))))))))) <=> ((~![X: $i, T0: $i, T: $i] : (has_immunity(X, T) | has_immunity(X, T0) | (~organization(X)) | (~((~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater(capability(X, T), capability(X, T0))) | (~greater_or_equal(position(X, T), position(X, T0))))) | (~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater_or_equal(capability(X, T), capability(X, T0))) | (~greater(position(X, T), position(X, T0))))) | (~((hazard_of_mortality(X, T) = hazard_of_mortality(X, T0)) | (~(capability(X, T) = capability(X, T0))) | (~(position(X, T) = position(X, T0))))))))) | has_immunity(X!2, T!0) | (~organization(X!2)) | has_immunity(X!2, T0!1) | (~((~(smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1)) | (~greater(capability(X!2, T!0), capability(X!2, T0!1))) | (~greater_or_equal(position(X!2, T!0), position(X!2, T0!1))))) | (~(smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1)) | (~greater_or_equal(capability(X!2, T!0), capability(X!2, T0!1))) | (~greater(position(X!2, T!0), position(X!2, T0!1))))) | (~((hazard_of_mortality(X!2, T!0) = hazard_of_mortality(X!2, T0!1)) | (~(capability(X!2, T!0) = capability(X!2, T0!1))) | (~(position(X!2, T!0) = position(X!2, T0!1))))))))),
% 0.08/0.34 inference(rewrite,[status(thm)],[])).
% 0.08/0.34 tff(185,plain,
% 0.08/0.34 ((has_immunity(X!2, T!0) | has_immunity(X!2, T0!1) | (~organization(X!2)) | (~((~(smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1)) | (~greater(capability(X!2, T!0), capability(X!2, T0!1))) | (~greater_or_equal(position(X!2, T!0), position(X!2, T0!1))))) | (~(smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1)) | (~greater_or_equal(capability(X!2, T!0), capability(X!2, T0!1))) | (~greater(position(X!2, T!0), position(X!2, T0!1))))) | (~((hazard_of_mortality(X!2, T!0) = hazard_of_mortality(X!2, T0!1)) | (~(capability(X!2, T!0) = capability(X!2, T0!1))) | (~(position(X!2, T!0) = position(X!2, T0!1)))))))) <=> (has_immunity(X!2, T!0) | (~organization(X!2)) | has_immunity(X!2, T0!1) | (~((~(smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1)) | (~greater(capability(X!2, T!0), capability(X!2, T0!1))) | (~greater_or_equal(position(X!2, T!0), position(X!2, T0!1))))) | (~(smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1)) | (~greater_or_equal(capability(X!2, T!0), capability(X!2, T0!1))) | (~greater(position(X!2, T!0), position(X!2, T0!1))))) | (~((hazard_of_mortality(X!2, T!0) = hazard_of_mortality(X!2, T0!1)) | (~(capability(X!2, T!0) = capability(X!2, T0!1))) | (~(position(X!2, T!0) = position(X!2, T0!1))))))))),
% 0.08/0.34 inference(rewrite,[status(thm)],[])).
% 0.08/0.34 tff(186,plain,
% 0.08/0.34 ((~((~(smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1)) | (~greater(capability(X!2, T!0), capability(X!2, T0!1))) | (~greater_or_equal(position(X!2, T!0), position(X!2, T0!1))))) | (~(smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1)) | (~greater_or_equal(capability(X!2, T!0), capability(X!2, T0!1))) | (~greater(position(X!2, T!0), position(X!2, T0!1))))) | (~((hazard_of_mortality(X!2, T!0) = hazard_of_mortality(X!2, T0!1)) | (~(capability(X!2, T!0) = capability(X!2, T0!1))) | (~(position(X!2, T!0) = position(X!2, T0!1))))))) <=> (~((~(smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1)) | (~greater(capability(X!2, T!0), capability(X!2, T0!1))) | (~greater_or_equal(position(X!2, T!0), position(X!2, T0!1))))) | (~(smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1)) | (~greater_or_equal(capability(X!2, T!0), capability(X!2, T0!1))) | (~greater(position(X!2, T!0), position(X!2, T0!1))))) | (~((hazard_of_mortality(X!2, T!0) = hazard_of_mortality(X!2, T0!1)) | (~(capability(X!2, T!0) = capability(X!2, T0!1))) | (~(position(X!2, T!0) = position(X!2, T0!1)))))))),
% 0.08/0.34 inference(rewrite,[status(thm)],[])).
% 0.08/0.34 tff(187,plain,
% 0.08/0.34 ((has_immunity(X!2, T!0) | has_immunity(X!2, T0!1) | (~organization(X!2)) | (~((~(smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1)) | (~greater(capability(X!2, T!0), capability(X!2, T0!1))) | (~greater_or_equal(position(X!2, T!0), position(X!2, T0!1))))) | (~(smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1)) | (~greater_or_equal(capability(X!2, T!0), capability(X!2, T0!1))) | (~greater(position(X!2, T!0), position(X!2, T0!1))))) | (~((hazard_of_mortality(X!2, T!0) = hazard_of_mortality(X!2, T0!1)) | (~(capability(X!2, T!0) = capability(X!2, T0!1))) | (~(position(X!2, T!0) = position(X!2, T0!1)))))))) <=> (has_immunity(X!2, T!0) | has_immunity(X!2, T0!1) | (~organization(X!2)) | (~((~(smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1)) | (~greater(capability(X!2, T!0), capability(X!2, T0!1))) | (~greater_or_equal(position(X!2, T!0), position(X!2, T0!1))))) | (~(smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1)) | (~greater_or_equal(capability(X!2, T!0), capability(X!2, T0!1))) | (~greater(position(X!2, T!0), position(X!2, T0!1))))) | (~((hazard_of_mortality(X!2, T!0) = hazard_of_mortality(X!2, T0!1)) | (~(capability(X!2, T!0) = capability(X!2, T0!1))) | (~(position(X!2, T!0) = position(X!2, T0!1))))))))),
% 0.08/0.34 inference(monotonicity,[status(thm)],[186])).
% 0.08/0.34 tff(188,plain,
% 0.08/0.34 ((has_immunity(X!2, T!0) | has_immunity(X!2, T0!1) | (~organization(X!2)) | (~((~(smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1)) | (~greater(capability(X!2, T!0), capability(X!2, T0!1))) | (~greater_or_equal(position(X!2, T!0), position(X!2, T0!1))))) | (~(smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1)) | (~greater_or_equal(capability(X!2, T!0), capability(X!2, T0!1))) | (~greater(position(X!2, T!0), position(X!2, T0!1))))) | (~((hazard_of_mortality(X!2, T!0) = hazard_of_mortality(X!2, T0!1)) | (~(capability(X!2, T!0) = capability(X!2, T0!1))) | (~(position(X!2, T!0) = position(X!2, T0!1)))))))) <=> (has_immunity(X!2, T!0) | (~organization(X!2)) | has_immunity(X!2, T0!1) | (~((~(smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1)) | (~greater(capability(X!2, T!0), capability(X!2, T0!1))) | (~greater_or_equal(position(X!2, T!0), position(X!2, T0!1))))) | (~(smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1)) | (~greater_or_equal(capability(X!2, T!0), capability(X!2, T0!1))) | (~greater(position(X!2, T!0), position(X!2, T0!1))))) | (~((hazard_of_mortality(X!2, T!0) = hazard_of_mortality(X!2, T0!1)) | (~(capability(X!2, T!0) = capability(X!2, T0!1))) | (~(position(X!2, T!0) = position(X!2, T0!1))))))))),
% 0.08/0.34 inference(transitivity,[status(thm)],[187, 185])).
% 0.08/0.34 tff(189,plain,
% 0.08/0.34 (((~![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) | has_immunity(X!2, T0!1) | (~organization(X!2)) | (~((~(smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1)) | (~greater(capability(X!2, T!0), capability(X!2, T0!1))) | (~greater_or_equal(position(X!2, T!0), position(X!2, T0!1))))) | (~(smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1)) | (~greater_or_equal(capability(X!2, T!0), capability(X!2, T0!1))) | (~greater(position(X!2, T!0), position(X!2, T0!1))))) | (~((hazard_of_mortality(X!2, T!0) = hazard_of_mortality(X!2, T0!1)) | (~(capability(X!2, T!0) = capability(X!2, T0!1))) | (~(position(X!2, T!0) = position(X!2, T0!1))))))))) <=> ((~![X: $i, T0: $i, T: $i] : (has_immunity(X, T) | has_immunity(X, T0) | (~organization(X)) | (~((~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater(capability(X, T), capability(X, T0))) | (~greater_or_equal(position(X, T), position(X, T0))))) | (~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater_or_equal(capability(X, T), capability(X, T0))) | (~greater(position(X, T), position(X, T0))))) | (~((hazard_of_mortality(X, T) = hazard_of_mortality(X, T0)) | (~(capability(X, T) = capability(X, T0))) | (~(position(X, T) = position(X, T0))))))))) | (has_immunity(X!2, T!0) | (~organization(X!2)) | has_immunity(X!2, T0!1) | (~((~(smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1)) | (~greater(capability(X!2, T!0), capability(X!2, T0!1))) | (~greater_or_equal(position(X!2, T!0), position(X!2, T0!1))))) | (~(smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1)) | (~greater_or_equal(capability(X!2, T!0), capability(X!2, T0!1))) | (~greater(position(X!2, T!0), position(X!2, T0!1))))) | (~((hazard_of_mortality(X!2, T!0) = hazard_of_mortality(X!2, T0!1)) | (~(capability(X!2, T!0) = capability(X!2, T0!1))) | (~(position(X!2, T!0) = position(X!2, T0!1)))))))))),
% 0.08/0.34 inference(monotonicity,[status(thm)],[188])).
% 0.08/0.34 tff(190,plain,
% 0.08/0.34 (((~![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) | has_immunity(X!2, T0!1) | (~organization(X!2)) | (~((~(smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1)) | (~greater(capability(X!2, T!0), capability(X!2, T0!1))) | (~greater_or_equal(position(X!2, T!0), position(X!2, T0!1))))) | (~(smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1)) | (~greater_or_equal(capability(X!2, T!0), capability(X!2, T0!1))) | (~greater(position(X!2, T!0), position(X!2, T0!1))))) | (~((hazard_of_mortality(X!2, T!0) = hazard_of_mortality(X!2, T0!1)) | (~(capability(X!2, T!0) = capability(X!2, T0!1))) | (~(position(X!2, T!0) = position(X!2, T0!1))))))))) <=> ((~![X: $i, T0: $i, T: $i] : (has_immunity(X, T) | has_immunity(X, T0) | (~organization(X)) | (~((~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater(capability(X, T), capability(X, T0))) | (~greater_or_equal(position(X, T), position(X, T0))))) | (~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater_or_equal(capability(X, T), capability(X, T0))) | (~greater(position(X, T), position(X, T0))))) | (~((hazard_of_mortality(X, T) = hazard_of_mortality(X, T0)) | (~(capability(X, T) = capability(X, T0))) | (~(position(X, T) = position(X, T0))))))))) | has_immunity(X!2, T!0) | (~organization(X!2)) | has_immunity(X!2, T0!1) | (~((~(smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1)) | (~greater(capability(X!2, T!0), capability(X!2, T0!1))) | (~greater_or_equal(position(X!2, T!0), position(X!2, T0!1))))) | (~(smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1)) | (~greater_or_equal(capability(X!2, T!0), capability(X!2, T0!1))) | (~greater(position(X!2, T!0), position(X!2, T0!1))))) | (~((hazard_of_mortality(X!2, T!0) = hazard_of_mortality(X!2, T0!1)) | (~(capability(X!2, T!0) = capability(X!2, T0!1))) | (~(position(X!2, T!0) = position(X!2, T0!1))))))))),
% 0.08/0.34 inference(transitivity,[status(thm)],[189, 184])).
% 0.08/0.34 tff(191,plain,
% 0.08/0.34 ((~![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) | has_immunity(X!2, T0!1) | (~organization(X!2)) | (~((~(smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1)) | (~greater(capability(X!2, T!0), capability(X!2, T0!1))) | (~greater_or_equal(position(X!2, T!0), position(X!2, T0!1))))) | (~(smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1)) | (~greater_or_equal(capability(X!2, T!0), capability(X!2, T0!1))) | (~greater(position(X!2, T!0), position(X!2, T0!1))))) | (~((hazard_of_mortality(X!2, T!0) = hazard_of_mortality(X!2, T0!1)) | (~(capability(X!2, T!0) = capability(X!2, T0!1))) | (~(position(X!2, T!0) = position(X!2, T0!1))))))))),
% 0.08/0.34 inference(quant_inst,[status(thm)],[])).
% 0.08/0.34 tff(192,plain,
% 0.08/0.34 ((~![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, T!0), hazard_of_mortality(X!2, T0!1)) | (~greater(capability(X!2, T!0), capability(X!2, T0!1))) | (~greater_or_equal(position(X!2, T!0), position(X!2, T0!1))))) | (~(smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1)) | (~greater_or_equal(capability(X!2, T!0), capability(X!2, T0!1))) | (~greater(position(X!2, T!0), position(X!2, T0!1))))) | (~((hazard_of_mortality(X!2, T!0) = hazard_of_mortality(X!2, T0!1)) | (~(capability(X!2, T!0) = capability(X!2, T0!1))) | (~(position(X!2, T!0) = position(X!2, T0!1)))))))),
% 0.08/0.34 inference(modus_ponens,[status(thm)],[191, 190])).
% 0.08/0.34 tff(193,plain,
% 0.08/0.34 (has_immunity(X!2, T!0) | has_immunity(X!2, T0!1) | (~((~(smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1)) | (~greater(capability(X!2, T!0), capability(X!2, T0!1))) | (~greater_or_equal(position(X!2, T!0), position(X!2, T0!1))))) | (~(smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1)) | (~greater_or_equal(capability(X!2, T!0), capability(X!2, T0!1))) | (~greater(position(X!2, T!0), position(X!2, T0!1))))) | (~((hazard_of_mortality(X!2, T!0) = hazard_of_mortality(X!2, T0!1)) | (~(capability(X!2, T!0) = capability(X!2, T0!1))) | (~(position(X!2, T!0) = position(X!2, T0!1)))))))),
% 0.08/0.34 inference(unit_resolution,[status(thm)],[192, 183, 11])).
% 0.08/0.34 tff(194,plain,
% 0.08/0.34 (~((~(smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1)) | (~greater(capability(X!2, T!0), capability(X!2, T0!1))) | (~greater_or_equal(position(X!2, T!0), position(X!2, T0!1))))) | (~(smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1)) | (~greater_or_equal(capability(X!2, T!0), capability(X!2, T0!1))) | (~greater(position(X!2, T!0), position(X!2, T0!1))))) | (~((hazard_of_mortality(X!2, T!0) = hazard_of_mortality(X!2, T0!1)) | (~(capability(X!2, T!0) = capability(X!2, T0!1))) | (~(position(X!2, T!0) = position(X!2, T0!1))))))),
% 0.08/0.35 inference(unit_resolution,[status(thm)],[193, 168, 159])).
% 0.08/0.35 tff(195,plain,
% 0.08/0.35 (((~(smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1)) | (~greater(capability(X!2, T!0), capability(X!2, T0!1))) | (~greater_or_equal(position(X!2, T!0), position(X!2, T0!1))))) | (~(smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1)) | (~greater_or_equal(capability(X!2, T!0), capability(X!2, T0!1))) | (~greater(position(X!2, T!0), position(X!2, T0!1))))) | (~((hazard_of_mortality(X!2, T!0) = hazard_of_mortality(X!2, T0!1)) | (~(capability(X!2, T!0) = capability(X!2, T0!1))) | (~(position(X!2, T!0) = position(X!2, T0!1)))))) | (smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1)) | (~greater(capability(X!2, T!0), capability(X!2, T0!1))) | (~greater_or_equal(position(X!2, T!0), position(X!2, T0!1))))),
% 0.08/0.35 inference(tautology,[status(thm)],[])).
% 0.08/0.35 tff(196,plain,
% 0.08/0.35 (smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1)) | (~greater(capability(X!2, T!0), capability(X!2, T0!1))) | (~greater_or_equal(position(X!2, T!0), position(X!2, T0!1)))),
% 0.08/0.35 inference(unit_resolution,[status(thm)],[195, 194])).
% 0.08/0.35 tff(197,plain,
% 0.08/0.35 (~smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1))),
% 0.08/0.35 inference(or_elim,[status(thm)],[8])).
% 0.08/0.35 tff(198,plain,
% 0.08/0.35 ((~(smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1)) | (~greater(capability(X!2, T!0), capability(X!2, T0!1))) | (~greater_or_equal(position(X!2, T!0), position(X!2, T0!1))))) | smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1)) | (~greater(capability(X!2, T!0), capability(X!2, T0!1))) | (~greater_or_equal(position(X!2, T!0), position(X!2, T0!1)))),
% 0.08/0.35 inference(tautology,[status(thm)],[])).
% 0.08/0.35 tff(199,plain,
% 0.08/0.35 ((~(smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1)) | (~greater(capability(X!2, T!0), capability(X!2, T0!1))) | (~greater_or_equal(position(X!2, T!0), position(X!2, T0!1))))) | (~greater(capability(X!2, T!0), capability(X!2, T0!1))) | (~greater_or_equal(position(X!2, T!0), position(X!2, T0!1)))),
% 0.08/0.35 inference(unit_resolution,[status(thm)],[198, 197])).
% 0.08/0.35 tff(200,plain,
% 0.08/0.35 ((~greater(capability(X!2, T!0), capability(X!2, T0!1))) | (~greater_or_equal(position(X!2, T!0), position(X!2, T0!1)))),
% 0.08/0.35 inference(unit_resolution,[status(thm)],[199, 196])).
% 0.08/0.35 tff(201,plain,
% 0.08/0.35 (~greater_or_equal(position(X!2, T!0), position(X!2, T0!1))),
% 0.08/0.35 inference(unit_resolution,[status(thm)],[200, 136])).
% 0.08/0.35 tff(202,plain,
% 0.08/0.35 ((~(greater_or_equal(position(X!2, T!0), position(X!2, T0!1)) <=> ((position(X!2, T!0) = position(X!2, T0!1)) | greater(position(X!2, T!0), position(X!2, T0!1))))) | greater_or_equal(position(X!2, T!0), position(X!2, T0!1)) | (~((position(X!2, T!0) = position(X!2, T0!1)) | greater(position(X!2, T!0), position(X!2, T0!1))))),
% 0.08/0.35 inference(tautology,[status(thm)],[])).
% 0.08/0.35 tff(203,plain,
% 0.08/0.35 ((~(greater_or_equal(position(X!2, T!0), position(X!2, T0!1)) <=> ((position(X!2, T!0) = position(X!2, T0!1)) | greater(position(X!2, T!0), position(X!2, T0!1))))) | (~((position(X!2, T!0) = position(X!2, T0!1)) | greater(position(X!2, T!0), position(X!2, T0!1))))),
% 0.08/0.35 inference(unit_resolution,[status(thm)],[202, 201])).
% 0.08/0.35 tff(204,plain,
% 0.08/0.35 (~((position(X!2, T!0) = position(X!2, T0!1)) | greater(position(X!2, T!0), position(X!2, T0!1)))),
% 0.08/0.35 inference(unit_resolution,[status(thm)],[203, 46])).
% 0.08/0.35 tff(205,plain,
% 0.08/0.35 (((position(X!2, T!0) = position(X!2, T0!1)) | greater(position(X!2, T!0), position(X!2, T0!1))) | (~greater(position(X!2, T!0), position(X!2, T0!1)))),
% 0.08/0.35 inference(tautology,[status(thm)],[])).
% 0.08/0.35 tff(206,plain,
% 0.08/0.35 (~greater(position(X!2, T!0), position(X!2, T0!1))),
% 0.08/0.35 inference(unit_resolution,[status(thm)],[205, 204])).
% 0.08/0.35 tff(207,plain,
% 0.08/0.35 ((~((~greater(external_ties(X!2, T!0), external_ties(X!2, T0!1))) | greater(position(X!2, T!0), position(X!2, T0!1)))) | (~greater(external_ties(X!2, T!0), external_ties(X!2, T0!1))) | greater(position(X!2, T!0), position(X!2, T0!1))),
% 0.08/0.35 inference(tautology,[status(thm)],[])).
% 0.08/0.35 tff(208,plain,
% 0.08/0.35 ((~((~greater(external_ties(X!2, T!0), external_ties(X!2, T0!1))) | greater(position(X!2, T!0), position(X!2, T0!1)))) | (~greater(external_ties(X!2, T!0), external_ties(X!2, T0!1)))),
% 0.08/0.35 inference(unit_resolution,[status(thm)],[207, 206])).
% 0.08/0.35 tff(209,plain,
% 0.08/0.35 ($false),
% 0.08/0.35 inference(unit_resolution,[status(thm)],[208, 34, 31])).
% 0.08/0.35 tff(210,plain,((~((~greater(external_ties(X!2, T!0), external_ties(X!2, T0!1))) | greater(position(X!2, T!0), position(X!2, T0!1)))) | (~((~(external_ties(X!2, T!0) = external_ties(X!2, T0!1))) | (position(X!2, T!0) = position(X!2, T0!1))))), inference(lemma,lemma(discharge,[]))).
% 0.08/0.35 tff(211,plain,
% 0.08/0.35 (^[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))))))))),
% 0.08/0.35 inference(bind,[status(th)],[])).
% 0.08/0.35 tff(212,plain,
% 0.08/0.35 (![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)))))))),
% 0.08/0.35 inference(quant_intro,[status(thm)],[211])).
% 0.08/0.35 tff(213,plain,
% 0.08/0.35 (^[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))))))))),
% 0.08/0.35 inference(bind,[status(th)],[])).
% 0.08/0.35 tff(214,plain,
% 0.08/0.35 (![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)))))))),
% 0.08/0.35 inference(quant_intro,[status(thm)],[213])).
% 0.08/0.35 tff(215,plain,
% 0.08/0.35 (![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)))))),
% 0.08/0.35 inference(rewrite,[status(thm)],[])).
% 0.08/0.35 tff(216,plain,
% 0.08/0.35 (^[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)))))))),
% 0.08/0.35 inference(bind,[status(th)],[])).
% 0.08/0.35 tff(217,plain,
% 0.08/0.35 (![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)))))),
% 0.08/0.35 inference(quant_intro,[status(thm)],[216])).
% 0.08/0.35 tff(218,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/sandbox2/benchmark/theBenchmark.p','assumption_6')).
% 0.08/0.35 tff(219,plain,
% 0.08/0.35 (![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)))))),
% 0.08/0.35 inference(modus_ponens,[status(thm)],[218, 217])).
% 0.08/0.35 tff(220,plain,
% 0.08/0.35 (![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)))))),
% 0.08/0.35 inference(modus_ponens,[status(thm)],[219, 215])).
% 0.08/0.35 tff(221,plain,(
% 0.08/0.35 ![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)))))),
% 0.08/0.35 inference(skolemize,[status(sab)],[220])).
% 0.08/0.35 tff(222,plain,
% 0.08/0.35 (![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)))))))),
% 0.08/0.35 inference(modus_ponens,[status(thm)],[221, 214])).
% 0.08/0.35 tff(223,plain,
% 0.08/0.35 (![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)))))))),
% 0.08/0.35 inference(modus_ponens,[status(thm)],[222, 212])).
% 0.08/0.35 tff(224,plain,
% 0.08/0.35 (((~![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, T!0), external_ties(X!2, T0!1))) | greater(position(X!2, T!0), position(X!2, T0!1)))) | (~((~(external_ties(X!2, T!0) = external_ties(X!2, T0!1))) | (position(X!2, T!0) = position(X!2, T0!1)))))))) <=> ((~![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, T!0), external_ties(X!2, T0!1))) | greater(position(X!2, T!0), position(X!2, T0!1)))) | (~((~(external_ties(X!2, T!0) = external_ties(X!2, T0!1))) | (position(X!2, T!0) = position(X!2, T0!1)))))))),
% 0.08/0.35 inference(rewrite,[status(thm)],[])).
% 0.08/0.35 tff(225,plain,
% 0.08/0.35 ((~![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, T!0), external_ties(X!2, T0!1))) | greater(position(X!2, T!0), position(X!2, T0!1)))) | (~((~(external_ties(X!2, T!0) = external_ties(X!2, T0!1))) | (position(X!2, T!0) = position(X!2, T0!1)))))))),
% 0.08/0.35 inference(quant_inst,[status(thm)],[])).
% 0.08/0.35 tff(226,plain,
% 0.08/0.35 ((~![X: $i, T0: $i, T: $i] : ((~organization(X)) | (~((~((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0)))) | (~((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0)))))))) | (~organization(X!2)) | (~((~((~greater(external_ties(X!2, T!0), external_ties(X!2, T0!1))) | greater(position(X!2, T!0), position(X!2, T0!1)))) | (~((~(external_ties(X!2, T!0) = external_ties(X!2, T0!1))) | (position(X!2, T!0) = position(X!2, T0!1))))))),
% 0.08/0.35 inference(modus_ponens,[status(thm)],[225, 224])).
% 0.08/0.35 tff(227,plain,
% 0.08/0.35 ($false),
% 0.08/0.35 inference(unit_resolution,[status(thm)],[226, 223, 11, 210])).
% 0.08/0.35 % SZS output end Proof
% 0.08/0.35 % E exiting
%------------------------------------------------------------------------------