%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : MGT043+1 : TPTP v9.3.0. Released v2.4.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : run_E %s %d THM
% Computer : n003.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 06:24:05 AM UTC 2026
% Result : Theorem 0.12s 0.41s
% Output : Proof 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT043+1 : TPTP v9.3.0. Released v2.4.0.
% 0.00/0.03 % Command : run_E %s %d THM
% 0.07/0.34 % Computer : n003.cluster.edu
% 0.07/0.34 % Model : x86_64 x86_64
% 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34 % Memory : 8046.5625MB
% 0.07/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/0.34 % CPULimit : 300
% 0.07/0.34 % WCLimit : 300
% 0.07/0.34 % DateTime : Mon Sep 7 13:07:26 UTC 2026
% 0.07/0.34 % CPUTime :
% 0.12/0.41 % SZS status Theorem
% 0.12/0.41 % SZS output start Proof
% 0.12/0.41 tff(greater_or_equal_type, type, (
% 0.12/0.41 greater_or_equal: ( $i * $i ) > $o)).
% 0.12/0.41 tff(position_type, type, (
% 0.12/0.41 position: ( $i * $i ) > $i)).
% 0.12/0.41 tff(tptp_fun_T_0_type, type, (
% 0.12/0.41 tptp_fun_T_0: $i)).
% 0.12/0.41 tff(tptp_fun_X_2_type, type, (
% 0.12/0.41 tptp_fun_X_2: $i)).
% 0.12/0.41 tff(tptp_fun_T0_1_type, type, (
% 0.12/0.41 tptp_fun_T0_1: $i)).
% 0.12/0.41 tff(external_ties_type, type, (
% 0.12/0.41 external_ties: ( $i * $i ) > $i)).
% 0.12/0.41 tff(greater_type, type, (
% 0.12/0.41 greater: ( $i * $i ) > $o)).
% 0.12/0.41 tff(organization_type, type, (
% 0.12/0.41 organization: $i > $o)).
% 0.12/0.41 tff(internal_friction_type, type, (
% 0.12/0.41 internal_friction: ( $i * $i ) > $i)).
% 0.12/0.41 tff(stock_of_knowledge_type, type, (
% 0.12/0.41 stock_of_knowledge: ( $i * $i ) > $i)).
% 0.12/0.41 tff(has_immunity_type, type, (
% 0.12/0.41 has_immunity: ( $i * $i ) > $o)).
% 0.12/0.41 tff(hazard_of_mortality_type, type, (
% 0.12/0.41 hazard_of_mortality: ( $i * $i ) > $i)).
% 0.12/0.41 tff(capability_type, type, (
% 0.12/0.41 capability: ( $i * $i ) > $i)).
% 0.12/0.41 tff(smaller_type, type, (
% 0.12/0.41 smaller: ( $i * $i ) > $o)).
% 0.12/0.41 tff(smaller_or_equal_type, type, (
% 0.12/0.41 smaller_or_equal: ( $i * $i ) > $o)).
% 0.12/0.41 tff(1,plain,
% 0.12/0.41 ((~![X: $i, T0: $i, T: $i] : ((~(organization(X) & (~has_immunity(X, T0)) & (~has_immunity(X, T)) & (stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)) & greater(internal_friction(X, T), internal_friction(X, T0)) & (external_ties(X, T0) = external_ties(X, T)))) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)))) <=> (~![X: $i, T0: $i, T: $i] : ((~(organization(X) & (~has_immunity(X, T0)) & (~has_immunity(X, T)) & (stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)) & greater(internal_friction(X, T), internal_friction(X, T0)) & (external_ties(X, T0) = external_ties(X, T)))) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))))),
% 0.12/0.41 inference(rewrite,[status(thm)],[])).
% 0.12/0.41 tff(2,plain,
% 0.12/0.41 ((~![X: $i, T0: $i, T: $i] : ((((((organization(X) & (~has_immunity(X, T0))) & (~has_immunity(X, T))) & (stock_of_knowledge(X, T) = stock_of_knowledge(X, T0))) & greater(internal_friction(X, T), internal_friction(X, T0))) & (external_ties(X, T0) = external_ties(X, T))) => greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)))) <=> (~![X: $i, T0: $i, T: $i] : ((~(organization(X) & (~has_immunity(X, T0)) & (~has_immunity(X, T)) & (stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)) & greater(internal_friction(X, T), internal_friction(X, T0)) & (external_ties(X, T0) = external_ties(X, T)))) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))))),
% 0.12/0.41 inference(rewrite,[status(thm)],[])).
% 0.12/0.41 tff(3,axiom,(~![X: $i, T0: $i, T: $i] : ((((((organization(X) & (~has_immunity(X, T0))) & (~has_immunity(X, T))) & (stock_of_knowledge(X, T) = stock_of_knowledge(X, T0))) & greater(internal_friction(X, T), internal_friction(X, T0))) & (external_ties(X, T0) = external_ties(X, T))) => greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','lemma_2')).
% 0.12/0.41 tff(4,plain,
% 0.12/0.41 (~![X: $i, T0: $i, T: $i] : ((~(organization(X) & (~has_immunity(X, T0)) & (~has_immunity(X, T)) & (stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)) & greater(internal_friction(X, T), internal_friction(X, T0)) & (external_ties(X, T0) = external_ties(X, T)))) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)))),
% 0.12/0.41 inference(modus_ponens,[status(thm)],[3, 2])).
% 0.12/0.41 tff(5,plain,
% 0.12/0.41 (~![X: $i, T0: $i, T: $i] : ((~(organization(X) & (~has_immunity(X, T0)) & (~has_immunity(X, T)) & (stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)) & greater(internal_friction(X, T), internal_friction(X, T0)) & (external_ties(X, T0) = external_ties(X, T)))) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)))),
% 0.12/0.41 inference(modus_ponens,[status(thm)],[4, 1])).
% 0.12/0.41 tff(6,plain,
% 0.12/0.41 (~![X: $i, T0: $i, T: $i] : ((~(organization(X) & (~has_immunity(X, T0)) & (~has_immunity(X, T)) & (stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)) & greater(internal_friction(X, T), internal_friction(X, T0)) & (external_ties(X, T0) = external_ties(X, T)))) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)))),
% 0.12/0.41 inference(modus_ponens,[status(thm)],[5, 1])).
% 0.12/0.41 tff(7,plain,
% 0.12/0.41 (~![X: $i, T0: $i, T: $i] : ((~(organization(X) & (~has_immunity(X, T0)) & (~has_immunity(X, T)) & (stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)) & greater(internal_friction(X, T), internal_friction(X, T0)) & (external_ties(X, T0) = external_ties(X, T)))) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)))),
% 0.12/0.41 inference(modus_ponens,[status(thm)],[6, 1])).
% 0.12/0.41 tff(8,plain,(
% 0.12/0.41 ~((~(organization(X!2) & (~has_immunity(X!2, T0!1)) & (~has_immunity(X!2, T!0)) & (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)) & (external_ties(X!2, T0!1) = external_ties(X!2, T!0)))) | greater(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1)))),
% 0.12/0.41 inference(skolemize,[status(sab)],[7])).
% 0.12/0.41 tff(9,plain,
% 0.12/0.41 (organization(X!2) & (~has_immunity(X!2, T0!1)) & (~has_immunity(X!2, T!0)) & (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)) & (external_ties(X!2, T0!1) = external_ties(X!2, T!0))),
% 0.12/0.41 inference(or_elim,[status(thm)],[8])).
% 0.12/0.41 tff(10,plain,
% 0.12/0.41 (organization(X!2)),
% 0.12/0.41 inference(and_elim,[status(thm)],[9])).
% 0.12/0.41 tff(11,plain,
% 0.12/0.41 (^[X: $i, T0: $i, T: $i] : refl(((~organization(X)) | (~((~((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0)))) | (~((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0))))))) <=> ((~organization(X)) | (~((~((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0)))) | (~((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0))))))))),
% 0.12/0.41 inference(bind,[status(th)],[])).
% 0.12/0.41 tff(12,plain,
% 0.12/0.41 (![X: $i, T0: $i, T: $i] : ((~organization(X)) | (~((~((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0)))) | (~((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0))))))) <=> ![X: $i, T0: $i, T: $i] : ((~organization(X)) | (~((~((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0)))) | (~((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0)))))))),
% 0.12/0.41 inference(quant_intro,[status(thm)],[11])).
% 0.12/0.41 tff(13,plain,
% 0.12/0.41 (^[X: $i, T0: $i, T: $i] : rewrite(((~organization(X)) | (((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0))) & ((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0))))) <=> ((~organization(X)) | (~((~((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0)))) | (~((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0))))))))),
% 0.12/0.41 inference(bind,[status(th)],[])).
% 0.12/0.41 tff(14,plain,
% 0.12/0.41 (![X: $i, T0: $i, T: $i] : ((~organization(X)) | (((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0))) & ((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0))))) <=> ![X: $i, T0: $i, T: $i] : ((~organization(X)) | (~((~((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0)))) | (~((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0)))))))),
% 0.12/0.41 inference(quant_intro,[status(thm)],[13])).
% 0.12/0.41 tff(15,plain,
% 0.12/0.41 (![X: $i, T0: $i, T: $i] : ((~organization(X)) | (((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0))) & ((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0))))) <=> ![X: $i, T0: $i, T: $i] : ((~organization(X)) | (((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0))) & ((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0)))))),
% 0.12/0.41 inference(rewrite,[status(thm)],[])).
% 0.12/0.41 tff(16,plain,
% 0.12/0.41 (^[X: $i, T0: $i, T: $i] : trans(monotonicity(rewrite(((greater(external_ties(X, T), external_ties(X, T0)) => greater(position(X, T), position(X, T0))) & ((external_ties(X, T) = external_ties(X, T0)) => (position(X, T) = position(X, T0)))) <=> (((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0))) & ((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0))))), ((organization(X) => ((greater(external_ties(X, T), external_ties(X, T0)) => greater(position(X, T), position(X, T0))) & ((external_ties(X, T) = external_ties(X, T0)) => (position(X, T) = position(X, T0))))) <=> (organization(X) => (((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0))) & ((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0))))))), rewrite((organization(X) => (((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0))) & ((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0))))) <=> ((~organization(X)) | (((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0))) & ((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0)))))), ((organization(X) => ((greater(external_ties(X, T), external_ties(X, T0)) => greater(position(X, T), position(X, T0))) & ((external_ties(X, T) = external_ties(X, T0)) => (position(X, T) = position(X, T0))))) <=> ((~organization(X)) | (((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0))) & ((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0)))))))),
% 0.12/0.41 inference(bind,[status(th)],[])).
% 0.12/0.41 tff(17,plain,
% 0.12/0.41 (![X: $i, T0: $i, T: $i] : (organization(X) => ((greater(external_ties(X, T), external_ties(X, T0)) => greater(position(X, T), position(X, T0))) & ((external_ties(X, T) = external_ties(X, T0)) => (position(X, T) = position(X, T0))))) <=> ![X: $i, T0: $i, T: $i] : ((~organization(X)) | (((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0))) & ((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0)))))),
% 0.12/0.41 inference(quant_intro,[status(thm)],[16])).
% 0.12/0.41 tff(18,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')).
% 0.12/0.41 tff(19,plain,
% 0.12/0.41 (![X: $i, T0: $i, T: $i] : ((~organization(X)) | (((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0))) & ((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0)))))),
% 0.12/0.41 inference(modus_ponens,[status(thm)],[18, 17])).
% 0.12/0.41 tff(20,plain,
% 0.12/0.41 (![X: $i, T0: $i, T: $i] : ((~organization(X)) | (((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0))) & ((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0)))))),
% 0.12/0.41 inference(modus_ponens,[status(thm)],[19, 15])).
% 0.12/0.41 tff(21,plain,(
% 0.12/0.41 ![X: $i, T0: $i, T: $i] : ((~organization(X)) | (((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0))) & ((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0)))))),
% 0.12/0.41 inference(skolemize,[status(sab)],[20])).
% 0.12/0.41 tff(22,plain,
% 0.12/0.41 (![X: $i, T0: $i, T: $i] : ((~organization(X)) | (~((~((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0)))) | (~((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0)))))))),
% 0.12/0.41 inference(modus_ponens,[status(thm)],[21, 14])).
% 0.12/0.41 tff(23,plain,
% 0.12/0.41 (![X: $i, T0: $i, T: $i] : ((~organization(X)) | (~((~((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0)))) | (~((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0)))))))),
% 0.12/0.41 inference(modus_ponens,[status(thm)],[22, 12])).
% 0.12/0.41 tff(24,plain,
% 0.12/0.41 (((~![X: $i, T0: $i, T: $i] : ((~organization(X)) | (~((~((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0)))) | (~((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0)))))))) | ((~organization(X!2)) | (~((~((~greater(external_ties(X!2, T0!1), external_ties(X!2, T!0))) | greater(position(X!2, T0!1), position(X!2, T!0)))) | (~((~(external_ties(X!2, T0!1) = external_ties(X!2, T!0))) | (position(X!2, T0!1) = position(X!2, T!0)))))))) <=> ((~![X: $i, T0: $i, T: $i] : ((~organization(X)) | (~((~((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0)))) | (~((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0)))))))) | (~organization(X!2)) | (~((~((~greater(external_ties(X!2, T0!1), external_ties(X!2, T!0))) | greater(position(X!2, T0!1), position(X!2, T!0)))) | (~((~(external_ties(X!2, T0!1) = external_ties(X!2, T!0))) | (position(X!2, T0!1) = position(X!2, T!0)))))))),
% 0.12/0.41 inference(rewrite,[status(thm)],[])).
% 0.12/0.41 tff(25,plain,
% 0.12/0.41 ((~![X: $i, T0: $i, T: $i] : ((~organization(X)) | (~((~((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0)))) | (~((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0)))))))) | ((~organization(X!2)) | (~((~((~greater(external_ties(X!2, T0!1), external_ties(X!2, T!0))) | greater(position(X!2, T0!1), position(X!2, T!0)))) | (~((~(external_ties(X!2, T0!1) = external_ties(X!2, T!0))) | (position(X!2, T0!1) = position(X!2, T!0)))))))),
% 0.12/0.41 inference(quant_inst,[status(thm)],[])).
% 0.12/0.41 tff(26,plain,
% 0.12/0.41 ((~![X: $i, T0: $i, T: $i] : ((~organization(X)) | (~((~((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0)))) | (~((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0)))))))) | (~organization(X!2)) | (~((~((~greater(external_ties(X!2, T0!1), external_ties(X!2, T!0))) | greater(position(X!2, T0!1), position(X!2, T!0)))) | (~((~(external_ties(X!2, T0!1) = external_ties(X!2, T!0))) | (position(X!2, T0!1) = position(X!2, T!0))))))),
% 0.12/0.41 inference(modus_ponens,[status(thm)],[25, 24])).
% 0.12/0.41 tff(27,plain,
% 0.12/0.41 (~((~((~greater(external_ties(X!2, T0!1), external_ties(X!2, T!0))) | greater(position(X!2, T0!1), position(X!2, T!0)))) | (~((~(external_ties(X!2, T0!1) = external_ties(X!2, T!0))) | (position(X!2, T0!1) = position(X!2, T!0)))))),
% 0.12/0.41 inference(unit_resolution,[status(thm)],[26, 23, 10])).
% 0.12/0.41 tff(28,plain,
% 0.12/0.41 (((~((~greater(external_ties(X!2, T0!1), external_ties(X!2, T!0))) | greater(position(X!2, T0!1), position(X!2, T!0)))) | (~((~(external_ties(X!2, T0!1) = external_ties(X!2, T!0))) | (position(X!2, T0!1) = position(X!2, T!0))))) | ((~(external_ties(X!2, T0!1) = external_ties(X!2, T!0))) | (position(X!2, T0!1) = position(X!2, T!0)))),
% 0.12/0.41 inference(tautology,[status(thm)],[])).
% 0.12/0.41 tff(29,plain,
% 0.12/0.41 ((~(external_ties(X!2, T0!1) = external_ties(X!2, T!0))) | (position(X!2, T0!1) = position(X!2, T!0))),
% 0.12/0.41 inference(unit_resolution,[status(thm)],[28, 27])).
% 0.12/0.41 tff(30,plain,
% 0.12/0.41 (external_ties(X!2, T0!1) = external_ties(X!2, T!0)),
% 0.12/0.41 inference(and_elim,[status(thm)],[9])).
% 0.12/0.41 tff(31,plain,
% 0.12/0.41 ((~((~(external_ties(X!2, T0!1) = external_ties(X!2, T!0))) | (position(X!2, T0!1) = position(X!2, T!0)))) | (~(external_ties(X!2, T0!1) = external_ties(X!2, T!0))) | (position(X!2, T0!1) = position(X!2, T!0))),
% 0.12/0.41 inference(tautology,[status(thm)],[])).
% 0.12/0.41 tff(32,plain,
% 0.12/0.41 ((~((~(external_ties(X!2, T0!1) = external_ties(X!2, T!0))) | (position(X!2, T0!1) = position(X!2, T!0)))) | (position(X!2, T0!1) = position(X!2, T!0))),
% 0.12/0.41 inference(unit_resolution,[status(thm)],[31, 30])).
% 0.12/0.41 tff(33,plain,
% 0.12/0.41 (position(X!2, T0!1) = position(X!2, T!0)),
% 0.12/0.41 inference(unit_resolution,[status(thm)],[32, 29])).
% 0.12/0.41 tff(34,plain,
% 0.12/0.41 (greater_or_equal(position(X!2, T0!1), position(X!2, T!0)) <=> greater_or_equal(position(X!2, T!0), position(X!2, T!0))),
% 0.12/0.41 inference(monotonicity,[status(thm)],[33])).
% 0.12/0.41 tff(35,plain,
% 0.12/0.41 ((~greater_or_equal(position(X!2, T0!1), position(X!2, T!0))) <=> (~greater_or_equal(position(X!2, T!0), position(X!2, T!0)))),
% 0.12/0.41 inference(monotonicity,[status(thm)],[34])).
% 0.12/0.41 tff(36,plain,
% 0.12/0.41 (^[X: $i, Y: $i] : refl((smaller(X, Y) <=> greater(Y, X)) <=> (smaller(X, Y) <=> greater(Y, X)))),
% 0.12/0.41 inference(bind,[status(th)],[])).
% 0.12/0.41 tff(37,plain,
% 0.12/0.41 (![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X)) <=> ![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))),
% 0.12/0.41 inference(quant_intro,[status(thm)],[36])).
% 0.12/0.41 tff(38,plain,
% 0.12/0.41 (![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X)) <=> ![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))),
% 0.12/0.41 inference(rewrite,[status(thm)],[])).
% 0.12/0.41 tff(39,axiom,(![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))), file('/export/starexec/sandbox2/benchmark/Axioms/MGT001+0.ax','definition_smaller')).
% 0.12/0.41 tff(40,plain,
% 0.12/0.41 (![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))),
% 0.12/0.41 inference(modus_ponens,[status(thm)],[39, 38])).
% 0.12/0.41 tff(41,plain,(
% 0.12/0.41 ![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))),
% 0.12/0.41 inference(skolemize,[status(sab)],[40])).
% 0.12/0.41 tff(42,plain,
% 0.12/0.41 (![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))),
% 0.12/0.41 inference(modus_ponens,[status(thm)],[41, 37])).
% 0.12/0.41 tff(43,plain,
% 0.12/0.41 ((~![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))) | (smaller(capability(X!2, T!0), capability(X!2, T0!1)) <=> greater(capability(X!2, T0!1), capability(X!2, T!0)))),
% 0.12/0.41 inference(quant_inst,[status(thm)],[])).
% 0.12/0.41 tff(44,plain,
% 0.12/0.41 (smaller(capability(X!2, T!0), capability(X!2, T0!1)) <=> greater(capability(X!2, T0!1), capability(X!2, T!0))),
% 0.12/0.41 inference(unit_resolution,[status(thm)],[43, 42])).
% 0.12/0.41 tff(45,plain,
% 0.12/0.41 (![X: $i, T0: $i, T: $i] : ((~organization(X)) | (~((~(greater(capability(X, T), capability(X, T0)) | (~greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))) | (~smaller_or_equal(internal_friction(X, T), internal_friction(X, T0))))) | (~(smaller(capability(X, T), capability(X, T0)) | (~smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))) | (~greater(internal_friction(X, T), internal_friction(X, T0))))) | (~((capability(X, T) = capability(X, T0)) | (~(stock_of_knowledge(X, T) = stock_of_knowledge(X, T0))) | (~(internal_friction(X, T) = internal_friction(X, T0)))))))) <=> ![X: $i, T0: $i, T: $i] : ((~organization(X)) | (~((~(greater(capability(X, T), capability(X, T0)) | (~greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))) | (~smaller_or_equal(internal_friction(X, T), internal_friction(X, T0))))) | (~(smaller(capability(X, T), capability(X, T0)) | (~smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))) | (~greater(internal_friction(X, T), internal_friction(X, T0))))) | (~((capability(X, T) = capability(X, T0)) | (~(stock_of_knowledge(X, T) = stock_of_knowledge(X, T0))) | (~(internal_friction(X, T) = internal_friction(X, T0))))))))),
% 0.12/0.42 inference(rewrite,[status(thm)],[])).
% 0.12/0.42 tff(46,plain,
% 0.12/0.42 (^[X: $i, T0: $i, T: $i] : refl(((~organization(X)) | (~((~(greater(capability(X, T), capability(X, T0)) | (~greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))) | (~smaller_or_equal(internal_friction(X, T), internal_friction(X, T0))))) | (~(smaller(capability(X, T), capability(X, T0)) | (~smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))) | (~greater(internal_friction(X, T), internal_friction(X, T0))))) | (~((capability(X, T) = capability(X, T0)) | (~(stock_of_knowledge(X, T) = stock_of_knowledge(X, T0))) | (~(internal_friction(X, T) = internal_friction(X, T0)))))))) <=> ((~organization(X)) | (~((~(greater(capability(X, T), capability(X, T0)) | (~greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))) | (~smaller_or_equal(internal_friction(X, T), internal_friction(X, T0))))) | (~(smaller(capability(X, T), capability(X, T0)) | (~smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))) | (~greater(internal_friction(X, T), internal_friction(X, T0))))) | (~((capability(X, T) = capability(X, T0)) | (~(stock_of_knowledge(X, T) = stock_of_knowledge(X, T0))) | (~(internal_friction(X, T) = internal_friction(X, T0)))))))))),
% 0.12/0.42 inference(bind,[status(th)],[])).
% 0.12/0.42 tff(47,plain,
% 0.12/0.42 (![X: $i, T0: $i, T: $i] : ((~organization(X)) | (~((~(greater(capability(X, T), capability(X, T0)) | (~greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))) | (~smaller_or_equal(internal_friction(X, T), internal_friction(X, T0))))) | (~(smaller(capability(X, T), capability(X, T0)) | (~smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))) | (~greater(internal_friction(X, T), internal_friction(X, T0))))) | (~((capability(X, T) = capability(X, T0)) | (~(stock_of_knowledge(X, T) = stock_of_knowledge(X, T0))) | (~(internal_friction(X, T) = internal_friction(X, T0)))))))) <=> ![X: $i, T0: $i, T: $i] : ((~organization(X)) | (~((~(greater(capability(X, T), capability(X, T0)) | (~greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))) | (~smaller_or_equal(internal_friction(X, T), internal_friction(X, T0))))) | (~(smaller(capability(X, T), capability(X, T0)) | (~smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))) | (~greater(internal_friction(X, T), internal_friction(X, T0))))) | (~((capability(X, T) = capability(X, T0)) | (~(stock_of_knowledge(X, T) = stock_of_knowledge(X, T0))) | (~(internal_friction(X, T) = internal_friction(X, T0))))))))),
% 0.12/0.42 inference(quant_intro,[status(thm)],[46])).
% 0.12/0.42 tff(48,plain,
% 0.12/0.42 (^[X: $i, T0: $i, T: $i] : rewrite(((~organization(X)) | (((~(greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & smaller_or_equal(internal_friction(X, T), internal_friction(X, T0)))) | greater(capability(X, T), capability(X, T0))) & ((~(smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & greater(internal_friction(X, T), internal_friction(X, T0)))) | smaller(capability(X, T), capability(X, T0))) & ((~((stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)) & (internal_friction(X, T) = internal_friction(X, T0)))) | (capability(X, T) = capability(X, T0))))) <=> ((~organization(X)) | (~((~(greater(capability(X, T), capability(X, T0)) | (~greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))) | (~smaller_or_equal(internal_friction(X, T), internal_friction(X, T0))))) | (~(smaller(capability(X, T), capability(X, T0)) | (~smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))) | (~greater(internal_friction(X, T), internal_friction(X, T0))))) | (~((capability(X, T) = capability(X, T0)) | (~(stock_of_knowledge(X, T) = stock_of_knowledge(X, T0))) | (~(internal_friction(X, T) = internal_friction(X, T0)))))))))),
% 0.12/0.42 inference(bind,[status(th)],[])).
% 0.12/0.42 tff(49,plain,
% 0.12/0.42 (![X: $i, T0: $i, T: $i] : ((~organization(X)) | (((~(greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & smaller_or_equal(internal_friction(X, T), internal_friction(X, T0)))) | greater(capability(X, T), capability(X, T0))) & ((~(smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & greater(internal_friction(X, T), internal_friction(X, T0)))) | smaller(capability(X, T), capability(X, T0))) & ((~((stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)) & (internal_friction(X, T) = internal_friction(X, T0)))) | (capability(X, T) = capability(X, T0))))) <=> ![X: $i, T0: $i, T: $i] : ((~organization(X)) | (~((~(greater(capability(X, T), capability(X, T0)) | (~greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))) | (~smaller_or_equal(internal_friction(X, T), internal_friction(X, T0))))) | (~(smaller(capability(X, T), capability(X, T0)) | (~smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))) | (~greater(internal_friction(X, T), internal_friction(X, T0))))) | (~((capability(X, T) = capability(X, T0)) | (~(stock_of_knowledge(X, T) = stock_of_knowledge(X, T0))) | (~(internal_friction(X, T) = internal_friction(X, T0))))))))),
% 0.12/0.42 inference(quant_intro,[status(thm)],[48])).
% 0.12/0.42 tff(50,plain,
% 0.12/0.42 (![X: $i, T0: $i, T: $i] : ((~organization(X)) | (((~(greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & smaller_or_equal(internal_friction(X, T), internal_friction(X, T0)))) | greater(capability(X, T), capability(X, T0))) & ((~(smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & greater(internal_friction(X, T), internal_friction(X, T0)))) | smaller(capability(X, T), capability(X, T0))) & ((~((stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)) & (internal_friction(X, T) = internal_friction(X, T0)))) | (capability(X, T) = capability(X, T0))))) <=> ![X: $i, T0: $i, T: $i] : ((~organization(X)) | (((~(greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & smaller_or_equal(internal_friction(X, T), internal_friction(X, T0)))) | greater(capability(X, T), capability(X, T0))) & ((~(smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & greater(internal_friction(X, T), internal_friction(X, T0)))) | smaller(capability(X, T), capability(X, T0))) & ((~((stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)) & (internal_friction(X, T) = internal_friction(X, T0)))) | (capability(X, T) = capability(X, T0)))))),
% 0.12/0.42 inference(rewrite,[status(thm)],[])).
% 0.12/0.42 tff(51,plain,
% 0.12/0.42 (^[X: $i, T0: $i, T: $i] : trans(monotonicity(trans(monotonicity(rewrite((((greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & smaller_or_equal(internal_friction(X, T), internal_friction(X, T0))) => greater(capability(X, T), capability(X, T0))) & ((smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & greater(internal_friction(X, T), internal_friction(X, T0))) => smaller(capability(X, T), capability(X, T0)))) <=> (((~(greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & smaller_or_equal(internal_friction(X, T), internal_friction(X, T0)))) | greater(capability(X, T), capability(X, T0))) & ((~(smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & greater(internal_friction(X, T), internal_friction(X, T0)))) | smaller(capability(X, T), capability(X, T0))))), rewrite((((stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)) & (internal_friction(X, T) = internal_friction(X, T0))) => (capability(X, T) = capability(X, T0))) <=> ((~((stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)) & (internal_friction(X, T) = internal_friction(X, T0)))) | (capability(X, T) = capability(X, T0)))), (((((greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & smaller_or_equal(internal_friction(X, T), internal_friction(X, T0))) => greater(capability(X, T), capability(X, T0))) & ((smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & greater(internal_friction(X, T), internal_friction(X, T0))) => smaller(capability(X, T), capability(X, T0)))) & (((stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)) & (internal_friction(X, T) = internal_friction(X, T0))) => (capability(X, T) = capability(X, T0)))) <=> ((((~(greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & smaller_or_equal(internal_friction(X, T), internal_friction(X, T0)))) | greater(capability(X, T), capability(X, T0))) & ((~(smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & greater(internal_friction(X, T), internal_friction(X, T0)))) | smaller(capability(X, T), capability(X, T0)))) & ((~((stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)) & (internal_friction(X, T) = internal_friction(X, T0)))) | (capability(X, T) = capability(X, T0)))))), rewrite(((((~(greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & smaller_or_equal(internal_friction(X, T), internal_friction(X, T0)))) | greater(capability(X, T), capability(X, T0))) & ((~(smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & greater(internal_friction(X, T), internal_friction(X, T0)))) | smaller(capability(X, T), capability(X, T0)))) & ((~((stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)) & (internal_friction(X, T) = internal_friction(X, T0)))) | (capability(X, T) = capability(X, T0)))) <=> (((~(greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & smaller_or_equal(internal_friction(X, T), internal_friction(X, T0)))) | greater(capability(X, T), capability(X, T0))) & ((~(smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & greater(internal_friction(X, T), internal_friction(X, T0)))) | smaller(capability(X, T), capability(X, T0))) & ((~((stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)) & (internal_friction(X, T) = internal_friction(X, T0)))) | (capability(X, T) = capability(X, T0))))), (((((greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & smaller_or_equal(internal_friction(X, T), internal_friction(X, T0))) => greater(capability(X, T), capability(X, T0))) & ((smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & greater(internal_friction(X, T), internal_friction(X, T0))) => smaller(capability(X, T), capability(X, T0)))) & (((stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)) & (internal_friction(X, T) = internal_friction(X, T0))) => (capability(X, T) = capability(X, T0)))) <=> (((~(greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & smaller_or_equal(internal_friction(X, T), internal_friction(X, T0)))) | greater(capability(X, T), capability(X, T0))) & ((~(smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & greater(internal_friction(X, T), internal_friction(X, T0)))) | smaller(capability(X, T), capability(X, T0))) & ((~((stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)) & (internal_friction(X, T) = internal_friction(X, T0)))) | (capability(X, T) = capability(X, T0)))))), ((organization(X) => ((((greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & smaller_or_equal(internal_friction(X, T), internal_friction(X, T0))) => greater(capability(X, T), capability(X, T0))) & ((smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & greater(internal_friction(X, T), internal_friction(X, T0))) => smaller(capability(X, T), capability(X, T0)))) & (((stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)) & (internal_friction(X, T) = internal_friction(X, T0))) => (capability(X, T) = capability(X, T0))))) <=> (organization(X) => (((~(greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & smaller_or_equal(internal_friction(X, T), internal_friction(X, T0)))) | greater(capability(X, T), capability(X, T0))) & ((~(smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & greater(internal_friction(X, T), internal_friction(X, T0)))) | smaller(capability(X, T), capability(X, T0))) & ((~((stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)) & (internal_friction(X, T) = internal_friction(X, T0)))) | (capability(X, T) = capability(X, T0))))))), rewrite((organization(X) => (((~(greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & smaller_or_equal(internal_friction(X, T), internal_friction(X, T0)))) | greater(capability(X, T), capability(X, T0))) & ((~(smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & greater(internal_friction(X, T), internal_friction(X, T0)))) | smaller(capability(X, T), capability(X, T0))) & ((~((stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)) & (internal_friction(X, T) = internal_friction(X, T0)))) | (capability(X, T) = capability(X, T0))))) <=> ((~organization(X)) | (((~(greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & smaller_or_equal(internal_friction(X, T), internal_friction(X, T0)))) | greater(capability(X, T), capability(X, T0))) & ((~(smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & greater(internal_friction(X, T), internal_friction(X, T0)))) | smaller(capability(X, T), capability(X, T0))) & ((~((stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)) & (internal_friction(X, T) = internal_friction(X, T0)))) | (capability(X, T) = capability(X, T0)))))), ((organization(X) => ((((greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & smaller_or_equal(internal_friction(X, T), internal_friction(X, T0))) => greater(capability(X, T), capability(X, T0))) & ((smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & greater(internal_friction(X, T), internal_friction(X, T0))) => smaller(capability(X, T), capability(X, T0)))) & (((stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)) & (internal_friction(X, T) = internal_friction(X, T0))) => (capability(X, T) = capability(X, T0))))) <=> ((~organization(X)) | (((~(greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & smaller_or_equal(internal_friction(X, T), internal_friction(X, T0)))) | greater(capability(X, T), capability(X, T0))) & ((~(smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & greater(internal_friction(X, T), internal_friction(X, T0)))) | smaller(capability(X, T), capability(X, T0))) & ((~((stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)) & (internal_friction(X, T) = internal_friction(X, T0)))) | (capability(X, T) = capability(X, T0)))))))),
% 0.12/0.42 inference(bind,[status(th)],[])).
% 0.12/0.42 tff(52,plain,
% 0.12/0.42 (![X: $i, T0: $i, T: $i] : (organization(X) => ((((greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & smaller_or_equal(internal_friction(X, T), internal_friction(X, T0))) => greater(capability(X, T), capability(X, T0))) & ((smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & greater(internal_friction(X, T), internal_friction(X, T0))) => smaller(capability(X, T), capability(X, T0)))) & (((stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)) & (internal_friction(X, T) = internal_friction(X, T0))) => (capability(X, T) = capability(X, T0))))) <=> ![X: $i, T0: $i, T: $i] : ((~organization(X)) | (((~(greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & smaller_or_equal(internal_friction(X, T), internal_friction(X, T0)))) | greater(capability(X, T), capability(X, T0))) & ((~(smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & greater(internal_friction(X, T), internal_friction(X, T0)))) | smaller(capability(X, T), capability(X, T0))) & ((~((stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)) & (internal_friction(X, T) = internal_friction(X, T0)))) | (capability(X, T) = capability(X, T0)))))),
% 0.12/0.42 inference(quant_intro,[status(thm)],[51])).
% 0.12/0.42 tff(53,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')).
% 0.12/0.42 tff(54,plain,
% 0.12/0.42 (![X: $i, T0: $i, T: $i] : ((~organization(X)) | (((~(greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & smaller_or_equal(internal_friction(X, T), internal_friction(X, T0)))) | greater(capability(X, T), capability(X, T0))) & ((~(smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & greater(internal_friction(X, T), internal_friction(X, T0)))) | smaller(capability(X, T), capability(X, T0))) & ((~((stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)) & (internal_friction(X, T) = internal_friction(X, T0)))) | (capability(X, T) = capability(X, T0)))))),
% 0.12/0.42 inference(modus_ponens,[status(thm)],[53, 52])).
% 0.12/0.42 tff(55,plain,
% 0.12/0.42 (![X: $i, T0: $i, T: $i] : ((~organization(X)) | (((~(greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & smaller_or_equal(internal_friction(X, T), internal_friction(X, T0)))) | greater(capability(X, T), capability(X, T0))) & ((~(smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & greater(internal_friction(X, T), internal_friction(X, T0)))) | smaller(capability(X, T), capability(X, T0))) & ((~((stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)) & (internal_friction(X, T) = internal_friction(X, T0)))) | (capability(X, T) = capability(X, T0)))))),
% 0.12/0.42 inference(modus_ponens,[status(thm)],[54, 50])).
% 0.12/0.42 tff(56,plain,(
% 0.12/0.42 ![X: $i, T0: $i, T: $i] : ((~organization(X)) | (((~(greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & smaller_or_equal(internal_friction(X, T), internal_friction(X, T0)))) | greater(capability(X, T), capability(X, T0))) & ((~(smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & greater(internal_friction(X, T), internal_friction(X, T0)))) | smaller(capability(X, T), capability(X, T0))) & ((~((stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)) & (internal_friction(X, T) = internal_friction(X, T0)))) | (capability(X, T) = capability(X, T0)))))),
% 0.12/0.42 inference(skolemize,[status(sab)],[55])).
% 0.12/0.42 tff(57,plain,
% 0.12/0.42 (![X: $i, T0: $i, T: $i] : ((~organization(X)) | (~((~(greater(capability(X, T), capability(X, T0)) | (~greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))) | (~smaller_or_equal(internal_friction(X, T), internal_friction(X, T0))))) | (~(smaller(capability(X, T), capability(X, T0)) | (~smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))) | (~greater(internal_friction(X, T), internal_friction(X, T0))))) | (~((capability(X, T) = capability(X, T0)) | (~(stock_of_knowledge(X, T) = stock_of_knowledge(X, T0))) | (~(internal_friction(X, T) = internal_friction(X, T0))))))))),
% 0.12/0.42 inference(modus_ponens,[status(thm)],[56, 49])).
% 0.12/0.42 tff(58,plain,
% 0.12/0.42 (![X: $i, T0: $i, T: $i] : ((~organization(X)) | (~((~(greater(capability(X, T), capability(X, T0)) | (~greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))) | (~smaller_or_equal(internal_friction(X, T), internal_friction(X, T0))))) | (~(smaller(capability(X, T), capability(X, T0)) | (~smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))) | (~greater(internal_friction(X, T), internal_friction(X, T0))))) | (~((capability(X, T) = capability(X, T0)) | (~(stock_of_knowledge(X, T) = stock_of_knowledge(X, T0))) | (~(internal_friction(X, T) = internal_friction(X, T0))))))))),
% 0.12/0.42 inference(modus_ponens,[status(thm)],[57, 47])).
% 0.12/0.42 tff(59,plain,
% 0.12/0.42 (![X: $i, T0: $i, T: $i] : ((~organization(X)) | (~((~(greater(capability(X, T), capability(X, T0)) | (~greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))) | (~smaller_or_equal(internal_friction(X, T), internal_friction(X, T0))))) | (~(smaller(capability(X, T), capability(X, T0)) | (~smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))) | (~greater(internal_friction(X, T), internal_friction(X, T0))))) | (~((capability(X, T) = capability(X, T0)) | (~(stock_of_knowledge(X, T) = stock_of_knowledge(X, T0))) | (~(internal_friction(X, T) = internal_friction(X, T0))))))))),
% 0.12/0.42 inference(modus_ponens,[status(thm)],[58, 45])).
% 0.12/0.42 tff(60,plain,
% 0.12/0.42 (((~![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(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))))) | (~((~(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))))) | (~(greater(capability(X!2, T!0), capability(X!2, T0!1)) | (~smaller_or_equal(internal_friction(X!2, T!0), internal_friction(X!2, T0!1))) | (~greater(stock_of_knowledge(X!2, T!0), stock_of_knowledge(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(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))))) | (~((~(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))))) | (~(greater(capability(X!2, T!0), capability(X!2, T0!1)) | (~smaller_or_equal(internal_friction(X!2, T!0), internal_friction(X!2, T0!1))) | (~greater(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1))))))))),
% 0.12/0.42 inference(rewrite,[status(thm)],[])).
% 0.12/0.42 tff(61,plain,
% 0.12/0.42 (((~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)))))))) <=> ((~organization(X!2)) | (~((~((~greater(internal_friction(X!2, T!0), internal_friction(X!2, T0!1))) | smaller(capability(X!2, T!0), capability(X!2, T0!1)) | (~smaller_or_equal(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1))))) | (~((~(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))))) | (~(greater(capability(X!2, T!0), capability(X!2, T0!1)) | (~smaller_or_equal(internal_friction(X!2, T!0), internal_friction(X!2, T0!1))) | (~greater(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1))))))))),
% 0.12/0.42 inference(rewrite,[status(thm)],[])).
% 0.12/0.42 tff(62,plain,
% 0.12/0.42 (((~![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(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))))) | (~((~(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))))) | (~(greater(capability(X!2, T!0), capability(X!2, T0!1)) | (~smaller_or_equal(internal_friction(X!2, T!0), internal_friction(X!2, T0!1))) | (~greater(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1)))))))))),
% 0.12/0.42 inference(monotonicity,[status(thm)],[61])).
% 0.12/0.42 tff(63,plain,
% 0.12/0.42 (((~![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(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))))) | (~((~(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))))) | (~(greater(capability(X!2, T!0), capability(X!2, T0!1)) | (~smaller_or_equal(internal_friction(X!2, T!0), internal_friction(X!2, T0!1))) | (~greater(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1))))))))),
% 0.12/0.42 inference(transitivity,[status(thm)],[62, 60])).
% 0.12/0.42 tff(64,plain,
% 0.12/0.42 ((~![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))))))))),
% 0.12/0.43 inference(quant_inst,[status(thm)],[])).
% 0.12/0.43 tff(65,plain,
% 0.12/0.43 ((~![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(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))))) | (~((~(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))))) | (~(greater(capability(X!2, T!0), capability(X!2, T0!1)) | (~smaller_or_equal(internal_friction(X!2, T!0), internal_friction(X!2, T0!1))) | (~greater(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1)))))))),
% 0.12/0.43 inference(modus_ponens,[status(thm)],[64, 63])).
% 0.12/0.43 tff(66,plain,
% 0.12/0.43 (~((~((~greater(internal_friction(X!2, T!0), internal_friction(X!2, T0!1))) | smaller(capability(X!2, T!0), capability(X!2, T0!1)) | (~smaller_or_equal(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1))))) | (~((~(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))))) | (~(greater(capability(X!2, T!0), capability(X!2, T0!1)) | (~smaller_or_equal(internal_friction(X!2, T!0), internal_friction(X!2, T0!1))) | (~greater(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1))))))),
% 0.12/0.43 inference(unit_resolution,[status(thm)],[65, 59, 10])).
% 0.12/0.43 tff(67,plain,
% 0.12/0.43 (((~((~greater(internal_friction(X!2, T!0), internal_friction(X!2, T0!1))) | smaller(capability(X!2, T!0), capability(X!2, T0!1)) | (~smaller_or_equal(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1))))) | (~((~(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))))) | (~(greater(capability(X!2, T!0), capability(X!2, T0!1)) | (~smaller_or_equal(internal_friction(X!2, T!0), internal_friction(X!2, T0!1))) | (~greater(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1)))))) | ((~greater(internal_friction(X!2, T!0), internal_friction(X!2, T0!1))) | smaller(capability(X!2, T!0), capability(X!2, T0!1)) | (~smaller_or_equal(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1))))),
% 0.12/0.43 inference(tautology,[status(thm)],[])).
% 0.12/0.43 tff(68,plain,
% 0.12/0.43 ((~greater(internal_friction(X!2, T!0), internal_friction(X!2, T0!1))) | smaller(capability(X!2, T!0), capability(X!2, T0!1)) | (~smaller_or_equal(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1)))),
% 0.12/0.43 inference(unit_resolution,[status(thm)],[67, 66])).
% 0.12/0.43 tff(69,plain,
% 0.12/0.43 (stock_of_knowledge(X!2, T!0) = stock_of_knowledge(X!2, T0!1)),
% 0.12/0.43 inference(and_elim,[status(thm)],[9])).
% 0.12/0.43 tff(70,plain,
% 0.12/0.43 (smaller_or_equal(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1)) <=> smaller_or_equal(stock_of_knowledge(X!2, T0!1), stock_of_knowledge(X!2, T0!1))),
% 0.12/0.43 inference(monotonicity,[status(thm)],[69])).
% 0.12/0.43 tff(71,plain,
% 0.12/0.43 (smaller_or_equal(stock_of_knowledge(X!2, T0!1), stock_of_knowledge(X!2, T0!1)) <=> smaller_or_equal(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1))),
% 0.12/0.43 inference(symmetry,[status(thm)],[70])).
% 0.12/0.43 tff(72,assumption,(~smaller_or_equal(stock_of_knowledge(X!2, T0!1), stock_of_knowledge(X!2, T0!1))), introduced(assumption)).
% 0.12/0.43 tff(73,plain,
% 0.12/0.43 (^[X: $i, Y: $i] : refl((smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y))) <=> (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y))))),
% 0.12/0.43 inference(bind,[status(th)],[])).
% 0.12/0.43 tff(74,plain,
% 0.12/0.43 (![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y))) <=> ![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))),
% 0.12/0.43 inference(quant_intro,[status(thm)],[73])).
% 0.12/0.43 tff(75,plain,
% 0.12/0.43 (![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y))) <=> ![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))),
% 0.12/0.43 inference(rewrite,[status(thm)],[])).
% 0.12/0.43 tff(76,plain,
% 0.12/0.43 (^[X: $i, Y: $i] : rewrite((smaller_or_equal(X, Y) <=> (smaller(X, Y) | (X = Y))) <=> (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y))))),
% 0.12/0.43 inference(bind,[status(th)],[])).
% 0.12/0.43 tff(77,plain,
% 0.12/0.43 (![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> (smaller(X, Y) | (X = Y))) <=> ![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))),
% 0.12/0.43 inference(quant_intro,[status(thm)],[76])).
% 0.12/0.43 tff(78,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')).
% 0.12/0.43 tff(79,plain,
% 0.12/0.43 (![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))),
% 0.12/0.43 inference(modus_ponens,[status(thm)],[78, 77])).
% 0.12/0.43 tff(80,plain,
% 0.12/0.43 (![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))),
% 0.12/0.43 inference(modus_ponens,[status(thm)],[79, 75])).
% 0.12/0.43 tff(81,plain,(
% 0.12/0.43 ![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))),
% 0.12/0.43 inference(skolemize,[status(sab)],[80])).
% 0.12/0.43 tff(82,plain,
% 0.12/0.43 (![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))),
% 0.12/0.43 inference(modus_ponens,[status(thm)],[81, 74])).
% 0.12/0.43 tff(83,plain,
% 0.12/0.43 (((~![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))) | smaller_or_equal(stock_of_knowledge(X!2, T0!1), stock_of_knowledge(X!2, T0!1))) <=> ((~![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))) | smaller_or_equal(stock_of_knowledge(X!2, T0!1), stock_of_knowledge(X!2, T0!1)))),
% 0.12/0.43 inference(rewrite,[status(thm)],[])).
% 0.12/0.43 tff(84,plain,
% 0.12/0.43 ((smaller_or_equal(stock_of_knowledge(X!2, T0!1), stock_of_knowledge(X!2, T0!1)) <=> $true) <=> smaller_or_equal(stock_of_knowledge(X!2, T0!1), stock_of_knowledge(X!2, T0!1))),
% 0.12/0.43 inference(rewrite,[status(thm)],[])).
% 0.12/0.43 tff(85,plain,
% 0.12/0.43 (($true | smaller(stock_of_knowledge(X!2, T0!1), stock_of_knowledge(X!2, T0!1))) <=> $true),
% 0.12/0.43 inference(rewrite,[status(thm)],[])).
% 0.12/0.43 tff(86,plain,
% 0.12/0.43 ((stock_of_knowledge(X!2, T0!1) = stock_of_knowledge(X!2, T0!1)) <=> $true),
% 0.12/0.43 inference(rewrite,[status(thm)],[])).
% 0.12/0.43 tff(87,plain,
% 0.12/0.43 (((stock_of_knowledge(X!2, T0!1) = stock_of_knowledge(X!2, T0!1)) | smaller(stock_of_knowledge(X!2, T0!1), stock_of_knowledge(X!2, T0!1))) <=> ($true | smaller(stock_of_knowledge(X!2, T0!1), stock_of_knowledge(X!2, T0!1)))),
% 0.12/0.43 inference(monotonicity,[status(thm)],[86])).
% 0.12/0.43 tff(88,plain,
% 0.12/0.43 (((stock_of_knowledge(X!2, T0!1) = stock_of_knowledge(X!2, T0!1)) | smaller(stock_of_knowledge(X!2, T0!1), stock_of_knowledge(X!2, T0!1))) <=> $true),
% 0.12/0.43 inference(transitivity,[status(thm)],[87, 85])).
% 0.12/0.43 tff(89,plain,
% 0.12/0.43 ((smaller_or_equal(stock_of_knowledge(X!2, T0!1), stock_of_knowledge(X!2, T0!1)) <=> ((stock_of_knowledge(X!2, T0!1) = stock_of_knowledge(X!2, T0!1)) | smaller(stock_of_knowledge(X!2, T0!1), stock_of_knowledge(X!2, T0!1)))) <=> (smaller_or_equal(stock_of_knowledge(X!2, T0!1), stock_of_knowledge(X!2, T0!1)) <=> $true)),
% 0.12/0.43 inference(monotonicity,[status(thm)],[88])).
% 0.12/0.43 tff(90,plain,
% 0.12/0.43 ((smaller_or_equal(stock_of_knowledge(X!2, T0!1), stock_of_knowledge(X!2, T0!1)) <=> ((stock_of_knowledge(X!2, T0!1) = stock_of_knowledge(X!2, T0!1)) | smaller(stock_of_knowledge(X!2, T0!1), stock_of_knowledge(X!2, T0!1)))) <=> smaller_or_equal(stock_of_knowledge(X!2, T0!1), stock_of_knowledge(X!2, T0!1))),
% 0.12/0.43 inference(transitivity,[status(thm)],[89, 84])).
% 0.12/0.43 tff(91,plain,
% 0.12/0.43 (((~![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))) | (smaller_or_equal(stock_of_knowledge(X!2, T0!1), stock_of_knowledge(X!2, T0!1)) <=> ((stock_of_knowledge(X!2, T0!1) = stock_of_knowledge(X!2, T0!1)) | smaller(stock_of_knowledge(X!2, T0!1), stock_of_knowledge(X!2, T0!1))))) <=> ((~![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))) | smaller_or_equal(stock_of_knowledge(X!2, T0!1), stock_of_knowledge(X!2, T0!1)))),
% 0.12/0.43 inference(monotonicity,[status(thm)],[90])).
% 0.12/0.43 tff(92,plain,
% 0.12/0.43 (((~![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))) | (smaller_or_equal(stock_of_knowledge(X!2, T0!1), stock_of_knowledge(X!2, T0!1)) <=> ((stock_of_knowledge(X!2, T0!1) = stock_of_knowledge(X!2, T0!1)) | smaller(stock_of_knowledge(X!2, T0!1), stock_of_knowledge(X!2, T0!1))))) <=> ((~![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))) | smaller_or_equal(stock_of_knowledge(X!2, T0!1), stock_of_knowledge(X!2, T0!1)))),
% 0.12/0.43 inference(transitivity,[status(thm)],[91, 83])).
% 0.12/0.43 tff(93,plain,
% 0.12/0.43 ((~![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))) | (smaller_or_equal(stock_of_knowledge(X!2, T0!1), stock_of_knowledge(X!2, T0!1)) <=> ((stock_of_knowledge(X!2, T0!1) = stock_of_knowledge(X!2, T0!1)) | smaller(stock_of_knowledge(X!2, T0!1), stock_of_knowledge(X!2, T0!1))))),
% 0.12/0.43 inference(quant_inst,[status(thm)],[])).
% 0.12/0.43 tff(94,plain,
% 0.12/0.43 ((~![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))) | smaller_or_equal(stock_of_knowledge(X!2, T0!1), stock_of_knowledge(X!2, T0!1))),
% 0.12/0.43 inference(modus_ponens,[status(thm)],[93, 92])).
% 0.12/0.43 tff(95,plain,
% 0.12/0.43 ($false),
% 0.12/0.43 inference(unit_resolution,[status(thm)],[94, 82, 72])).
% 0.12/0.43 tff(96,plain,(smaller_or_equal(stock_of_knowledge(X!2, T0!1), stock_of_knowledge(X!2, T0!1))), inference(lemma,lemma(discharge,[]))).
% 0.12/0.43 tff(97,plain,
% 0.12/0.43 (smaller_or_equal(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1))),
% 0.12/0.43 inference(modus_ponens,[status(thm)],[96, 71])).
% 0.12/0.43 tff(98,plain,
% 0.12/0.43 (greater(internal_friction(X!2, T!0), internal_friction(X!2, T0!1))),
% 0.12/0.43 inference(and_elim,[status(thm)],[9])).
% 0.12/0.43 tff(99,plain,
% 0.12/0.43 ((~((~greater(internal_friction(X!2, T!0), internal_friction(X!2, T0!1))) | smaller(capability(X!2, T!0), capability(X!2, T0!1)) | (~smaller_or_equal(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1))))) | (~greater(internal_friction(X!2, T!0), internal_friction(X!2, T0!1))) | smaller(capability(X!2, T!0), capability(X!2, T0!1)) | (~smaller_or_equal(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1)))),
% 0.12/0.43 inference(tautology,[status(thm)],[])).
% 0.12/0.43 tff(100,plain,
% 0.12/0.43 ((~((~greater(internal_friction(X!2, T!0), internal_friction(X!2, T0!1))) | smaller(capability(X!2, T!0), capability(X!2, T0!1)) | (~smaller_or_equal(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1))))) | smaller(capability(X!2, T!0), capability(X!2, T0!1)) | (~smaller_or_equal(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1)))),
% 0.12/0.43 inference(unit_resolution,[status(thm)],[99, 98])).
% 0.12/0.43 tff(101,plain,
% 0.12/0.43 (smaller(capability(X!2, T!0), capability(X!2, T0!1))),
% 0.12/0.43 inference(unit_resolution,[status(thm)],[100, 97, 68])).
% 0.12/0.43 tff(102,assumption,(greater_or_equal(position(X!2, T0!1), position(X!2, T!0))), introduced(assumption)).
% 0.12/0.43 tff(103,plain,
% 0.12/0.43 (~has_immunity(X!2, T!0)),
% 0.12/0.43 inference(and_elim,[status(thm)],[9])).
% 0.12/0.43 tff(104,plain,
% 0.12/0.43 (~has_immunity(X!2, T0!1)),
% 0.12/0.43 inference(and_elim,[status(thm)],[9])).
% 0.12/0.43 tff(105,plain,
% 0.12/0.43 (![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))))))))),
% 0.12/0.43 inference(rewrite,[status(thm)],[])).
% 0.12/0.43 tff(106,plain,
% 0.12/0.43 (^[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)))))))))),
% 0.12/0.43 inference(bind,[status(th)],[])).
% 0.12/0.43 tff(107,plain,
% 0.12/0.43 (![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))))))))),
% 0.12/0.43 inference(quant_intro,[status(thm)],[106])).
% 0.12/0.43 tff(108,plain,
% 0.12/0.43 (^[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))))))))))),
% 0.12/0.44 inference(bind,[status(th)],[])).
% 0.12/0.44 tff(109,plain,
% 0.12/0.44 (![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))))))))),
% 0.12/0.44 inference(quant_intro,[status(thm)],[108])).
% 0.12/0.44 tff(110,plain,
% 0.12/0.44 (![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)))))),
% 0.12/0.44 inference(rewrite,[status(thm)],[])).
% 0.12/0.44 tff(111,plain,
% 0.12/0.44 (^[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)))))))),
% 0.12/0.44 inference(bind,[status(th)],[])).
% 0.12/0.44 tff(112,plain,
% 0.12/0.44 (![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)))))),
% 0.12/0.44 inference(quant_intro,[status(thm)],[111])).
% 0.12/0.44 tff(113,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')).
% 0.12/0.44 tff(114,plain,
% 0.12/0.44 (![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)))))),
% 0.12/0.44 inference(modus_ponens,[status(thm)],[113, 112])).
% 0.12/0.44 tff(115,plain,
% 0.12/0.44 (![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)))))),
% 0.12/0.44 inference(modus_ponens,[status(thm)],[114, 110])).
% 0.12/0.44 tff(116,plain,(
% 0.12/0.44 ![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)))))),
% 0.12/0.44 inference(skolemize,[status(sab)],[115])).
% 0.12/0.44 tff(117,plain,
% 0.12/0.44 (![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))))))))),
% 0.12/0.44 inference(modus_ponens,[status(thm)],[116, 109])).
% 0.12/0.44 tff(118,plain,
% 0.12/0.44 (![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))))))))),
% 0.12/0.44 inference(modus_ponens,[status(thm)],[117, 107])).
% 0.12/0.44 tff(119,plain,
% 0.12/0.44 (![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))))))))),
% 0.12/0.44 inference(modus_ponens,[status(thm)],[118, 105])).
% 0.12/0.44 tff(120,plain,
% 0.12/0.44 (((~![X: $i, T0: $i, T: $i] : (has_immunity(X, T) | has_immunity(X, T0) | (~organization(X)) | (~((~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater(capability(X, T), capability(X, T0))) | (~greater_or_equal(position(X, T), position(X, T0))))) | (~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater_or_equal(capability(X, T), capability(X, T0))) | (~greater(position(X, T), position(X, T0))))) | (~((hazard_of_mortality(X, T) = hazard_of_mortality(X, T0)) | (~(capability(X, T) = capability(X, T0))) | (~(position(X, T) = position(X, T0))))))))) | (has_immunity(X!2, T0!1) | has_immunity(X!2, T!0) | (~organization(X!2)) | (~((~(smaller(hazard_of_mortality(X!2, T0!1), hazard_of_mortality(X!2, T!0)) | (~greater(capability(X!2, T0!1), capability(X!2, T!0))) | (~greater_or_equal(position(X!2, T0!1), position(X!2, T!0))))) | (~(smaller(hazard_of_mortality(X!2, T0!1), hazard_of_mortality(X!2, T!0)) | (~greater_or_equal(capability(X!2, T0!1), capability(X!2, T!0))) | (~greater(position(X!2, T0!1), position(X!2, T!0))))) | (~((hazard_of_mortality(X!2, T0!1) = hazard_of_mortality(X!2, T!0)) | (~(capability(X!2, T0!1) = capability(X!2, T!0))) | (~(position(X!2, T0!1) = position(X!2, T!0))))))))) <=> ((~![X: $i, T0: $i, T: $i] : (has_immunity(X, T) | has_immunity(X, T0) | (~organization(X)) | (~((~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater(capability(X, T), capability(X, T0))) | (~greater_or_equal(position(X, T), position(X, T0))))) | (~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater_or_equal(capability(X, T), capability(X, T0))) | (~greater(position(X, T), position(X, T0))))) | (~((hazard_of_mortality(X, T) = hazard_of_mortality(X, T0)) | (~(capability(X, T) = capability(X, T0))) | (~(position(X, T) = position(X, T0))))))))) | has_immunity(X!2, T0!1) | has_immunity(X!2, T!0) | (~organization(X!2)) | (~((~(smaller(hazard_of_mortality(X!2, T0!1), hazard_of_mortality(X!2, T!0)) | (~greater(capability(X!2, T0!1), capability(X!2, T!0))) | (~greater_or_equal(position(X!2, T0!1), position(X!2, T!0))))) | (~(smaller(hazard_of_mortality(X!2, T0!1), hazard_of_mortality(X!2, T!0)) | (~greater_or_equal(capability(X!2, T0!1), capability(X!2, T!0))) | (~greater(position(X!2, T0!1), position(X!2, T!0))))) | (~((hazard_of_mortality(X!2, T0!1) = hazard_of_mortality(X!2, T!0)) | (~(capability(X!2, T0!1) = capability(X!2, T!0))) | (~(position(X!2, T0!1) = position(X!2, T!0))))))))),
% 0.12/0.44 inference(rewrite,[status(thm)],[])).
% 0.12/0.44 tff(121,plain,
% 0.12/0.44 ((~![X: $i, T0: $i, T: $i] : (has_immunity(X, T) | has_immunity(X, T0) | (~organization(X)) | (~((~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater(capability(X, T), capability(X, T0))) | (~greater_or_equal(position(X, T), position(X, T0))))) | (~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater_or_equal(capability(X, T), capability(X, T0))) | (~greater(position(X, T), position(X, T0))))) | (~((hazard_of_mortality(X, T) = hazard_of_mortality(X, T0)) | (~(capability(X, T) = capability(X, T0))) | (~(position(X, T) = position(X, T0))))))))) | (has_immunity(X!2, T0!1) | has_immunity(X!2, T!0) | (~organization(X!2)) | (~((~(smaller(hazard_of_mortality(X!2, T0!1), hazard_of_mortality(X!2, T!0)) | (~greater(capability(X!2, T0!1), capability(X!2, T!0))) | (~greater_or_equal(position(X!2, T0!1), position(X!2, T!0))))) | (~(smaller(hazard_of_mortality(X!2, T0!1), hazard_of_mortality(X!2, T!0)) | (~greater_or_equal(capability(X!2, T0!1), capability(X!2, T!0))) | (~greater(position(X!2, T0!1), position(X!2, T!0))))) | (~((hazard_of_mortality(X!2, T0!1) = hazard_of_mortality(X!2, T!0)) | (~(capability(X!2, T0!1) = capability(X!2, T!0))) | (~(position(X!2, T0!1) = position(X!2, T!0))))))))),
% 0.12/0.44 inference(quant_inst,[status(thm)],[])).
% 0.12/0.44 tff(122,plain,
% 0.12/0.44 ((~![X: $i, T0: $i, T: $i] : (has_immunity(X, T) | has_immunity(X, T0) | (~organization(X)) | (~((~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater(capability(X, T), capability(X, T0))) | (~greater_or_equal(position(X, T), position(X, T0))))) | (~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater_or_equal(capability(X, T), capability(X, T0))) | (~greater(position(X, T), position(X, T0))))) | (~((hazard_of_mortality(X, T) = hazard_of_mortality(X, T0)) | (~(capability(X, T) = capability(X, T0))) | (~(position(X, T) = position(X, T0))))))))) | has_immunity(X!2, T0!1) | has_immunity(X!2, T!0) | (~organization(X!2)) | (~((~(smaller(hazard_of_mortality(X!2, T0!1), hazard_of_mortality(X!2, T!0)) | (~greater(capability(X!2, T0!1), capability(X!2, T!0))) | (~greater_or_equal(position(X!2, T0!1), position(X!2, T!0))))) | (~(smaller(hazard_of_mortality(X!2, T0!1), hazard_of_mortality(X!2, T!0)) | (~greater_or_equal(capability(X!2, T0!1), capability(X!2, T!0))) | (~greater(position(X!2, T0!1), position(X!2, T!0))))) | (~((hazard_of_mortality(X!2, T0!1) = hazard_of_mortality(X!2, T!0)) | (~(capability(X!2, T0!1) = capability(X!2, T!0))) | (~(position(X!2, T0!1) = position(X!2, T!0)))))))),
% 0.12/0.44 inference(modus_ponens,[status(thm)],[121, 120])).
% 0.12/0.44 tff(123,plain,
% 0.12/0.44 (~((~(smaller(hazard_of_mortality(X!2, T0!1), hazard_of_mortality(X!2, T!0)) | (~greater(capability(X!2, T0!1), capability(X!2, T!0))) | (~greater_or_equal(position(X!2, T0!1), position(X!2, T!0))))) | (~(smaller(hazard_of_mortality(X!2, T0!1), hazard_of_mortality(X!2, T!0)) | (~greater_or_equal(capability(X!2, T0!1), capability(X!2, T!0))) | (~greater(position(X!2, T0!1), position(X!2, T!0))))) | (~((hazard_of_mortality(X!2, T0!1) = hazard_of_mortality(X!2, T!0)) | (~(capability(X!2, T0!1) = capability(X!2, T!0))) | (~(position(X!2, T0!1) = position(X!2, T!0))))))),
% 0.12/0.44 inference(unit_resolution,[status(thm)],[122, 119, 10, 104, 103])).
% 0.12/0.44 tff(124,plain,
% 0.12/0.44 (((~(smaller(hazard_of_mortality(X!2, T0!1), hazard_of_mortality(X!2, T!0)) | (~greater(capability(X!2, T0!1), capability(X!2, T!0))) | (~greater_or_equal(position(X!2, T0!1), position(X!2, T!0))))) | (~(smaller(hazard_of_mortality(X!2, T0!1), hazard_of_mortality(X!2, T!0)) | (~greater_or_equal(capability(X!2, T0!1), capability(X!2, T!0))) | (~greater(position(X!2, T0!1), position(X!2, T!0))))) | (~((hazard_of_mortality(X!2, T0!1) = hazard_of_mortality(X!2, T!0)) | (~(capability(X!2, T0!1) = capability(X!2, T!0))) | (~(position(X!2, T0!1) = position(X!2, T!0)))))) | (smaller(hazard_of_mortality(X!2, T0!1), hazard_of_mortality(X!2, T!0)) | (~greater(capability(X!2, T0!1), capability(X!2, T!0))) | (~greater_or_equal(position(X!2, T0!1), position(X!2, T!0))))),
% 0.12/0.44 inference(tautology,[status(thm)],[])).
% 0.12/0.44 tff(125,plain,
% 0.12/0.44 (smaller(hazard_of_mortality(X!2, T0!1), hazard_of_mortality(X!2, T!0)) | (~greater(capability(X!2, T0!1), capability(X!2, T!0))) | (~greater_or_equal(position(X!2, T0!1), position(X!2, T!0)))),
% 0.12/0.44 inference(unit_resolution,[status(thm)],[124, 123])).
% 0.12/0.44 tff(126,plain,
% 0.12/0.44 ((~![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))) | (smaller(hazard_of_mortality(X!2, T0!1), hazard_of_mortality(X!2, T!0)) <=> greater(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1)))),
% 0.12/0.44 inference(quant_inst,[status(thm)],[])).
% 0.12/0.44 tff(127,plain,
% 0.12/0.44 (smaller(hazard_of_mortality(X!2, T0!1), hazard_of_mortality(X!2, T!0)) <=> greater(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1))),
% 0.12/0.44 inference(unit_resolution,[status(thm)],[126, 42])).
% 0.12/0.44 tff(128,plain,
% 0.12/0.44 (~greater(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1))),
% 0.12/0.44 inference(or_elim,[status(thm)],[8])).
% 0.12/0.44 tff(129,plain,
% 0.12/0.44 ((~(smaller(hazard_of_mortality(X!2, T0!1), hazard_of_mortality(X!2, T!0)) <=> greater(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1)))) | (~smaller(hazard_of_mortality(X!2, T0!1), hazard_of_mortality(X!2, T!0))) | greater(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1))),
% 0.12/0.44 inference(tautology,[status(thm)],[])).
% 0.12/0.44 tff(130,plain,
% 0.12/0.44 ((~(smaller(hazard_of_mortality(X!2, T0!1), hazard_of_mortality(X!2, T!0)) <=> greater(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1)))) | (~smaller(hazard_of_mortality(X!2, T0!1), hazard_of_mortality(X!2, T!0)))),
% 0.12/0.44 inference(unit_resolution,[status(thm)],[129, 128])).
% 0.12/0.44 tff(131,plain,
% 0.12/0.44 (~smaller(hazard_of_mortality(X!2, T0!1), hazard_of_mortality(X!2, T!0))),
% 0.12/0.44 inference(unit_resolution,[status(thm)],[130, 127])).
% 0.12/0.44 tff(132,plain,
% 0.12/0.44 ((~(smaller(hazard_of_mortality(X!2, T0!1), hazard_of_mortality(X!2, T!0)) | (~greater(capability(X!2, T0!1), capability(X!2, T!0))) | (~greater_or_equal(position(X!2, T0!1), position(X!2, T!0))))) | smaller(hazard_of_mortality(X!2, T0!1), hazard_of_mortality(X!2, T!0)) | (~greater(capability(X!2, T0!1), capability(X!2, T!0))) | (~greater_or_equal(position(X!2, T0!1), position(X!2, T!0)))),
% 0.12/0.44 inference(tautology,[status(thm)],[])).
% 0.12/0.44 tff(133,plain,
% 0.12/0.44 ((~greater(capability(X!2, T0!1), capability(X!2, T!0))) | (~greater_or_equal(position(X!2, T0!1), position(X!2, T!0)))),
% 0.12/0.45 inference(unit_resolution,[status(thm)],[132, 131, 125])).
% 0.12/0.45 tff(134,plain,
% 0.12/0.45 (~greater(capability(X!2, T0!1), capability(X!2, T!0))),
% 0.12/0.45 inference(unit_resolution,[status(thm)],[133, 102])).
% 0.12/0.45 tff(135,plain,
% 0.12/0.45 ((~(smaller(capability(X!2, T!0), capability(X!2, T0!1)) <=> greater(capability(X!2, T0!1), capability(X!2, T!0)))) | (~smaller(capability(X!2, T!0), capability(X!2, T0!1))) | greater(capability(X!2, T0!1), capability(X!2, T!0))),
% 0.12/0.45 inference(tautology,[status(thm)],[])).
% 0.12/0.45 tff(136,plain,
% 0.12/0.45 ((~(smaller(capability(X!2, T!0), capability(X!2, T0!1)) <=> greater(capability(X!2, T0!1), capability(X!2, T!0)))) | (~smaller(capability(X!2, T!0), capability(X!2, T0!1)))),
% 0.12/0.45 inference(unit_resolution,[status(thm)],[135, 134])).
% 0.12/0.45 tff(137,plain,
% 0.12/0.45 ($false),
% 0.12/0.45 inference(unit_resolution,[status(thm)],[136, 101, 44])).
% 0.12/0.45 tff(138,plain,(~greater_or_equal(position(X!2, T0!1), position(X!2, T!0))), inference(lemma,lemma(discharge,[]))).
% 0.12/0.45 tff(139,plain,
% 0.12/0.45 (~greater_or_equal(position(X!2, T!0), position(X!2, T!0))),
% 0.12/0.45 inference(modus_ponens,[status(thm)],[138, 35])).
% 0.12/0.45 tff(140,plain,
% 0.12/0.45 (^[X: $i, Y: $i] : refl((greater_or_equal(X, Y) <=> ((X = Y) | greater(X, Y))) <=> (greater_or_equal(X, Y) <=> ((X = Y) | greater(X, Y))))),
% 0.12/0.45 inference(bind,[status(th)],[])).
% 0.12/0.45 tff(141,plain,
% 0.12/0.45 (![X: $i, Y: $i] : (greater_or_equal(X, Y) <=> ((X = Y) | greater(X, Y))) <=> ![X: $i, Y: $i] : (greater_or_equal(X, Y) <=> ((X = Y) | greater(X, Y)))),
% 0.12/0.45 inference(quant_intro,[status(thm)],[140])).
% 0.12/0.45 tff(142,plain,
% 0.12/0.45 (![X: $i, Y: $i] : (greater_or_equal(X, Y) <=> ((X = Y) | greater(X, Y))) <=> ![X: $i, Y: $i] : (greater_or_equal(X, Y) <=> ((X = Y) | greater(X, Y)))),
% 0.12/0.45 inference(rewrite,[status(thm)],[])).
% 0.12/0.45 tff(143,plain,
% 0.12/0.45 (^[X: $i, Y: $i] : rewrite((greater_or_equal(X, Y) <=> (greater(X, Y) | (X = Y))) <=> (greater_or_equal(X, Y) <=> ((X = Y) | greater(X, Y))))),
% 0.12/0.45 inference(bind,[status(th)],[])).
% 0.12/0.45 tff(144,plain,
% 0.12/0.45 (![X: $i, Y: $i] : (greater_or_equal(X, Y) <=> (greater(X, Y) | (X = Y))) <=> ![X: $i, Y: $i] : (greater_or_equal(X, Y) <=> ((X = Y) | greater(X, Y)))),
% 0.12/0.45 inference(quant_intro,[status(thm)],[143])).
% 0.12/0.45 tff(145,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')).
% 0.12/0.45 tff(146,plain,
% 0.12/0.45 (![X: $i, Y: $i] : (greater_or_equal(X, Y) <=> ((X = Y) | greater(X, Y)))),
% 0.12/0.45 inference(modus_ponens,[status(thm)],[145, 144])).
% 0.12/0.45 tff(147,plain,
% 0.12/0.45 (![X: $i, Y: $i] : (greater_or_equal(X, Y) <=> ((X = Y) | greater(X, Y)))),
% 0.12/0.45 inference(modus_ponens,[status(thm)],[146, 142])).
% 0.12/0.45 tff(148,plain,(
% 0.12/0.45 ![X: $i, Y: $i] : (greater_or_equal(X, Y) <=> ((X = Y) | greater(X, Y)))),
% 0.12/0.45 inference(skolemize,[status(sab)],[147])).
% 0.12/0.45 tff(149,plain,
% 0.12/0.45 (![X: $i, Y: $i] : (greater_or_equal(X, Y) <=> ((X = Y) | greater(X, Y)))),
% 0.12/0.45 inference(modus_ponens,[status(thm)],[148, 141])).
% 0.12/0.45 tff(150,plain,
% 0.12/0.45 (((~![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, T!0))) <=> ((~![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, T!0)))),
% 0.12/0.45 inference(rewrite,[status(thm)],[])).
% 0.12/0.45 tff(151,plain,
% 0.12/0.45 ((greater_or_equal(position(X!2, T!0), position(X!2, T!0)) <=> $true) <=> greater_or_equal(position(X!2, T!0), position(X!2, T!0))),
% 0.12/0.45 inference(rewrite,[status(thm)],[])).
% 0.12/0.45 tff(152,plain,
% 0.12/0.45 (($true | greater(position(X!2, T!0), position(X!2, T!0))) <=> $true),
% 0.12/0.45 inference(rewrite,[status(thm)],[])).
% 0.12/0.45 tff(153,plain,
% 0.12/0.45 ((position(X!2, T!0) = position(X!2, T!0)) <=> $true),
% 0.12/0.45 inference(rewrite,[status(thm)],[])).
% 0.12/0.45 tff(154,plain,
% 0.12/0.45 (((position(X!2, T!0) = position(X!2, T!0)) | greater(position(X!2, T!0), position(X!2, T!0))) <=> ($true | greater(position(X!2, T!0), position(X!2, T!0)))),
% 0.12/0.45 inference(monotonicity,[status(thm)],[153])).
% 0.12/0.45 tff(155,plain,
% 0.12/0.45 (((position(X!2, T!0) = position(X!2, T!0)) | greater(position(X!2, T!0), position(X!2, T!0))) <=> $true),
% 0.12/0.45 inference(transitivity,[status(thm)],[154, 152])).
% 0.12/0.45 tff(156,plain,
% 0.12/0.45 ((greater_or_equal(position(X!2, T!0), position(X!2, T!0)) <=> ((position(X!2, T!0) = position(X!2, T!0)) | greater(position(X!2, T!0), position(X!2, T!0)))) <=> (greater_or_equal(position(X!2, T!0), position(X!2, T!0)) <=> $true)),
% 0.12/0.45 inference(monotonicity,[status(thm)],[155])).
% 0.12/0.45 tff(157,plain,
% 0.12/0.45 ((greater_or_equal(position(X!2, T!0), position(X!2, T!0)) <=> ((position(X!2, T!0) = position(X!2, T!0)) | greater(position(X!2, T!0), position(X!2, T!0)))) <=> greater_or_equal(position(X!2, T!0), position(X!2, T!0))),
% 0.12/0.45 inference(transitivity,[status(thm)],[156, 151])).
% 0.12/0.45 tff(158,plain,
% 0.12/0.45 (((~![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, T!0)) <=> ((position(X!2, T!0) = position(X!2, T!0)) | greater(position(X!2, T!0), position(X!2, T!0))))) <=> ((~![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, T!0)))),
% 0.12/0.45 inference(monotonicity,[status(thm)],[157])).
% 0.12/0.45 tff(159,plain,
% 0.12/0.45 (((~![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, T!0)) <=> ((position(X!2, T!0) = position(X!2, T!0)) | greater(position(X!2, T!0), position(X!2, T!0))))) <=> ((~![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, T!0)))),
% 0.12/0.45 inference(transitivity,[status(thm)],[158, 150])).
% 0.12/0.45 tff(160,plain,
% 0.12/0.45 ((~![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, T!0)) <=> ((position(X!2, T!0) = position(X!2, T!0)) | greater(position(X!2, T!0), position(X!2, T!0))))),
% 0.12/0.45 inference(quant_inst,[status(thm)],[])).
% 0.12/0.45 tff(161,plain,
% 0.12/0.45 ((~![X: $i, Y: $i] : (greater_or_equal(X, Y) <=> ((X = Y) | greater(X, Y)))) | greater_or_equal(position(X!2, T!0), position(X!2, T!0))),
% 0.12/0.45 inference(modus_ponens,[status(thm)],[160, 159])).
% 0.12/0.45 tff(162,plain,
% 0.12/0.45 ($false),
% 0.12/0.45 inference(unit_resolution,[status(thm)],[161, 149, 139])).
% 0.12/0.45 % SZS output end Proof
% 0.12/0.45 % E exiting
%------------------------------------------------------------------------------