%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : MGT044+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 0.40s
% Output : Proof 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT044+1 : TPTP v9.3.0. Released v2.4.0.
% 0.00/0.03 % Command : run_E %s %d THM
% 0.06/0.34 % Computer : n003.cluster.edu
% 0.06/0.34 % Model : x86_64 x86_64
% 0.06/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.34 % Memory : 8046.5625MB
% 0.06/0.34 % OS : Linux 6.8.0-71-generic
% 0.06/0.34 % CPULimit : 300
% 0.06/0.34 % WCLimit : 300
% 0.06/0.34 % DateTime : Mon Sep 7 13:08:56 UTC 2026
% 0.06/0.34 % CPUTime :
% 0.12/0.40 % SZS status Theorem
% 0.12/0.40 % SZS output start Proof
% 0.12/0.40 tff(greater_type, type, (
% 0.12/0.40 greater: ( $i * $i ) > $o)).
% 0.12/0.40 tff(stock_of_knowledge_type, type, (
% 0.12/0.40 stock_of_knowledge: ( $i * $i ) > $i)).
% 0.12/0.40 tff(tptp_fun_T0_1_type, type, (
% 0.12/0.40 tptp_fun_T0_1: $i)).
% 0.12/0.40 tff(tptp_fun_X_2_type, type, (
% 0.12/0.40 tptp_fun_X_2: $i)).
% 0.12/0.40 tff(tptp_fun_T_0_type, type, (
% 0.12/0.40 tptp_fun_T_0: $i)).
% 0.12/0.40 tff(smaller_or_equal_type, type, (
% 0.12/0.40 smaller_or_equal: ( $i * $i ) > $o)).
% 0.12/0.40 tff(internal_friction_type, type, (
% 0.12/0.40 internal_friction: ( $i * $i ) > $i)).
% 0.12/0.40 tff(organization_type, type, (
% 0.12/0.40 organization: $i > $o)).
% 0.12/0.40 tff(age_type, type, (
% 0.12/0.40 age: ( $i * $i ) > $i)).
% 0.12/0.40 tff(capability_type, type, (
% 0.12/0.40 capability: ( $i * $i ) > $i)).
% 0.12/0.40 tff(smaller_type, type, (
% 0.12/0.40 smaller: ( $i * $i ) > $o)).
% 0.12/0.40 tff(1,plain,
% 0.12/0.40 ((~![X: $i, T0: $i, T: $i] : ((~(organization(X) & greater(age(X, T), age(X, T0)))) | greater(capability(X, T), capability(X, T0)))) <=> (~![X: $i, T0: $i, T: $i] : ((~(organization(X) & greater(age(X, T), age(X, T0)))) | greater(capability(X, T), capability(X, T0))))),
% 0.12/0.40 inference(rewrite,[status(thm)],[])).
% 0.12/0.40 tff(2,plain,
% 0.12/0.40 ((~![X: $i, T0: $i, T: $i] : ((organization(X) & greater(age(X, T), age(X, T0))) => greater(capability(X, T), capability(X, T0)))) <=> (~![X: $i, T0: $i, T: $i] : ((~(organization(X) & greater(age(X, T), age(X, T0)))) | greater(capability(X, T), capability(X, T0))))),
% 0.12/0.40 inference(rewrite,[status(thm)],[])).
% 0.12/0.40 tff(3,axiom,(~![X: $i, T0: $i, T: $i] : ((organization(X) & greater(age(X, T), age(X, T0))) => greater(capability(X, T), capability(X, T0)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','lemma_3')).
% 0.12/0.40 tff(4,plain,
% 0.12/0.40 (~![X: $i, T0: $i, T: $i] : ((~(organization(X) & greater(age(X, T), age(X, T0)))) | greater(capability(X, T), capability(X, T0)))),
% 0.12/0.40 inference(modus_ponens,[status(thm)],[3, 2])).
% 0.12/0.40 tff(5,plain,
% 0.12/0.40 (~![X: $i, T0: $i, T: $i] : ((~(organization(X) & greater(age(X, T), age(X, T0)))) | greater(capability(X, T), capability(X, T0)))),
% 0.12/0.40 inference(modus_ponens,[status(thm)],[4, 1])).
% 0.12/0.40 tff(6,plain,
% 0.12/0.40 (~![X: $i, T0: $i, T: $i] : ((~(organization(X) & greater(age(X, T), age(X, T0)))) | greater(capability(X, T), capability(X, T0)))),
% 0.12/0.40 inference(modus_ponens,[status(thm)],[5, 1])).
% 0.12/0.40 tff(7,plain,
% 0.12/0.40 (~![X: $i, T0: $i, T: $i] : ((~(organization(X) & greater(age(X, T), age(X, T0)))) | greater(capability(X, T), capability(X, T0)))),
% 0.12/0.40 inference(modus_ponens,[status(thm)],[6, 1])).
% 0.12/0.40 tff(8,plain,(
% 0.12/0.40 ~((~(organization(X!2) & greater(age(X!2, T!0), age(X!2, T0!1)))) | greater(capability(X!2, T!0), capability(X!2, T0!1)))),
% 0.12/0.40 inference(skolemize,[status(sab)],[7])).
% 0.12/0.40 tff(9,plain,
% 0.12/0.40 (organization(X!2) & greater(age(X!2, T!0), age(X!2, T0!1))),
% 0.12/0.40 inference(or_elim,[status(thm)],[8])).
% 0.12/0.40 tff(10,plain,
% 0.12/0.40 (organization(X!2)),
% 0.12/0.40 inference(and_elim,[status(thm)],[9])).
% 0.12/0.40 tff(11,plain,
% 0.12/0.40 (^[X: $i, T0: $i, T: $i] : refl(((~organization(X)) | (internal_friction(X, T) = internal_friction(X, T0))) <=> ((~organization(X)) | (internal_friction(X, T) = internal_friction(X, T0))))),
% 0.12/0.40 inference(bind,[status(th)],[])).
% 0.12/0.40 tff(12,plain,
% 0.12/0.40 (![X: $i, T0: $i, T: $i] : ((~organization(X)) | (internal_friction(X, T) = internal_friction(X, T0))) <=> ![X: $i, T0: $i, T: $i] : ((~organization(X)) | (internal_friction(X, T) = internal_friction(X, T0)))),
% 0.12/0.40 inference(quant_intro,[status(thm)],[11])).
% 0.12/0.40 tff(13,plain,
% 0.12/0.40 (![X: $i, T0: $i, T: $i] : ((~organization(X)) | (internal_friction(X, T) = internal_friction(X, T0))) <=> ![X: $i, T0: $i, T: $i] : ((~organization(X)) | (internal_friction(X, T) = internal_friction(X, T0)))),
% 0.12/0.40 inference(rewrite,[status(thm)],[])).
% 0.12/0.40 tff(14,plain,
% 0.12/0.40 (^[X: $i, T0: $i, T: $i] : rewrite((organization(X) => (internal_friction(X, T) = internal_friction(X, T0))) <=> ((~organization(X)) | (internal_friction(X, T) = internal_friction(X, T0))))),
% 0.12/0.40 inference(bind,[status(th)],[])).
% 0.12/0.40 tff(15,plain,
% 0.12/0.40 (![X: $i, T0: $i, T: $i] : (organization(X) => (internal_friction(X, T) = internal_friction(X, T0))) <=> ![X: $i, T0: $i, T: $i] : ((~organization(X)) | (internal_friction(X, T) = internal_friction(X, T0)))),
% 0.12/0.40 inference(quant_intro,[status(thm)],[14])).
% 0.12/0.40 tff(16,axiom,(![X: $i, T0: $i, T: $i] : (organization(X) => (internal_friction(X, T) = internal_friction(X, T0)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','assumption_9')).
% 0.12/0.40 tff(17,plain,
% 0.12/0.40 (![X: $i, T0: $i, T: $i] : ((~organization(X)) | (internal_friction(X, T) = internal_friction(X, T0)))),
% 0.12/0.40 inference(modus_ponens,[status(thm)],[16, 15])).
% 0.12/0.40 tff(18,plain,
% 0.12/0.40 (![X: $i, T0: $i, T: $i] : ((~organization(X)) | (internal_friction(X, T) = internal_friction(X, T0)))),
% 0.12/0.40 inference(modus_ponens,[status(thm)],[17, 13])).
% 0.12/0.40 tff(19,plain,(
% 0.12/0.40 ![X: $i, T0: $i, T: $i] : ((~organization(X)) | (internal_friction(X, T) = internal_friction(X, T0)))),
% 0.12/0.40 inference(skolemize,[status(sab)],[18])).
% 0.12/0.40 tff(20,plain,
% 0.12/0.40 (![X: $i, T0: $i, T: $i] : ((~organization(X)) | (internal_friction(X, T) = internal_friction(X, T0)))),
% 0.12/0.40 inference(modus_ponens,[status(thm)],[19, 12])).
% 0.12/0.40 tff(21,plain,
% 0.12/0.40 (((~![X: $i, T0: $i, T: $i] : ((~organization(X)) | (internal_friction(X, T) = internal_friction(X, T0)))) | ((~organization(X!2)) | (internal_friction(X!2, T!0) = internal_friction(X!2, T0!1)))) <=> ((~![X: $i, T0: $i, T: $i] : ((~organization(X)) | (internal_friction(X, T) = internal_friction(X, T0)))) | (~organization(X!2)) | (internal_friction(X!2, T!0) = internal_friction(X!2, T0!1)))),
% 0.12/0.40 inference(rewrite,[status(thm)],[])).
% 0.12/0.40 tff(22,plain,
% 0.12/0.40 ((~![X: $i, T0: $i, T: $i] : ((~organization(X)) | (internal_friction(X, T) = internal_friction(X, T0)))) | ((~organization(X!2)) | (internal_friction(X!2, T!0) = internal_friction(X!2, T0!1)))),
% 0.12/0.40 inference(quant_inst,[status(thm)],[])).
% 0.12/0.40 tff(23,plain,
% 0.12/0.40 ((~![X: $i, T0: $i, T: $i] : ((~organization(X)) | (internal_friction(X, T) = internal_friction(X, T0)))) | (~organization(X!2)) | (internal_friction(X!2, T!0) = internal_friction(X!2, T0!1))),
% 0.12/0.40 inference(modus_ponens,[status(thm)],[22, 21])).
% 0.12/0.40 tff(24,plain,
% 0.12/0.40 (internal_friction(X!2, T!0) = internal_friction(X!2, T0!1)),
% 0.12/0.40 inference(unit_resolution,[status(thm)],[23, 20, 10])).
% 0.12/0.40 tff(25,plain,
% 0.12/0.40 (^[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))))),
% 0.12/0.40 inference(bind,[status(th)],[])).
% 0.12/0.40 tff(26,plain,
% 0.12/0.40 (![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)))),
% 0.12/0.40 inference(quant_intro,[status(thm)],[25])).
% 0.12/0.40 tff(27,plain,
% 0.12/0.40 (![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)))),
% 0.12/0.40 inference(rewrite,[status(thm)],[])).
% 0.12/0.40 tff(28,plain,
% 0.12/0.40 (^[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))))),
% 0.12/0.40 inference(bind,[status(th)],[])).
% 0.12/0.40 tff(29,plain,
% 0.12/0.40 (![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)))),
% 0.12/0.40 inference(quant_intro,[status(thm)],[28])).
% 0.12/0.40 tff(30,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')).
% 0.12/0.40 tff(31,plain,
% 0.12/0.40 (![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))),
% 0.12/0.40 inference(modus_ponens,[status(thm)],[30, 29])).
% 0.12/0.40 tff(32,plain,
% 0.12/0.40 (![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))),
% 0.12/0.40 inference(modus_ponens,[status(thm)],[31, 27])).
% 0.12/0.40 tff(33,plain,(
% 0.12/0.40 ![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))),
% 0.12/0.40 inference(skolemize,[status(sab)],[32])).
% 0.12/0.40 tff(34,plain,
% 0.12/0.40 (![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))),
% 0.12/0.40 inference(modus_ponens,[status(thm)],[33, 26])).
% 0.12/0.40 tff(35,plain,
% 0.12/0.40 ((~![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))) | (smaller_or_equal(internal_friction(X!2, T!0), internal_friction(X!2, T0!1)) <=> ((internal_friction(X!2, T!0) = internal_friction(X!2, T0!1)) | smaller(internal_friction(X!2, T!0), internal_friction(X!2, T0!1))))),
% 0.12/0.40 inference(quant_inst,[status(thm)],[])).
% 0.12/0.40 tff(36,plain,
% 0.12/0.40 (smaller_or_equal(internal_friction(X!2, T!0), internal_friction(X!2, T0!1)) <=> ((internal_friction(X!2, T!0) = internal_friction(X!2, T0!1)) | smaller(internal_friction(X!2, T!0), internal_friction(X!2, T0!1)))),
% 0.12/0.40 inference(unit_resolution,[status(thm)],[35, 34])).
% 0.12/0.40 tff(37,assumption,(~smaller_or_equal(internal_friction(X!2, T!0), internal_friction(X!2, T0!1))), introduced(assumption)).
% 0.12/0.40 tff(38,plain,
% 0.12/0.40 ((~(smaller_or_equal(internal_friction(X!2, T!0), internal_friction(X!2, T0!1)) <=> ((internal_friction(X!2, T!0) = internal_friction(X!2, T0!1)) | smaller(internal_friction(X!2, T!0), internal_friction(X!2, T0!1))))) | smaller_or_equal(internal_friction(X!2, T!0), internal_friction(X!2, T0!1)) | (~((internal_friction(X!2, T!0) = internal_friction(X!2, T0!1)) | smaller(internal_friction(X!2, T!0), internal_friction(X!2, T0!1))))),
% 0.12/0.40 inference(tautology,[status(thm)],[])).
% 0.12/0.40 tff(39,plain,
% 0.12/0.40 ((~(smaller_or_equal(internal_friction(X!2, T!0), internal_friction(X!2, T0!1)) <=> ((internal_friction(X!2, T!0) = internal_friction(X!2, T0!1)) | smaller(internal_friction(X!2, T!0), internal_friction(X!2, T0!1))))) | (~((internal_friction(X!2, T!0) = internal_friction(X!2, T0!1)) | smaller(internal_friction(X!2, T!0), internal_friction(X!2, T0!1))))),
% 0.12/0.40 inference(unit_resolution,[status(thm)],[38, 37])).
% 0.12/0.40 tff(40,plain,
% 0.12/0.40 (~((internal_friction(X!2, T!0) = internal_friction(X!2, T0!1)) | smaller(internal_friction(X!2, T!0), internal_friction(X!2, T0!1)))),
% 0.12/0.40 inference(unit_resolution,[status(thm)],[39, 36])).
% 0.12/0.40 tff(41,plain,
% 0.12/0.40 (((internal_friction(X!2, T!0) = internal_friction(X!2, T0!1)) | smaller(internal_friction(X!2, T!0), internal_friction(X!2, T0!1))) | (~(internal_friction(X!2, T!0) = internal_friction(X!2, T0!1)))),
% 0.12/0.40 inference(tautology,[status(thm)],[])).
% 0.12/0.40 tff(42,plain,
% 0.12/0.40 ($false),
% 0.12/0.40 inference(unit_resolution,[status(thm)],[41, 40, 24])).
% 0.12/0.40 tff(43,plain,(smaller_or_equal(internal_friction(X!2, T!0), internal_friction(X!2, T0!1))), inference(lemma,lemma(discharge,[]))).
% 0.12/0.40 tff(44,plain,
% 0.12/0.40 (![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))))))))),
% 0.12/0.40 inference(rewrite,[status(thm)],[])).
% 0.12/0.40 tff(45,plain,
% 0.12/0.40 (^[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)))))))))),
% 0.12/0.40 inference(bind,[status(th)],[])).
% 0.12/0.40 tff(46,plain,
% 0.12/0.40 (![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))))))))),
% 0.12/0.40 inference(quant_intro,[status(thm)],[45])).
% 0.12/0.40 tff(47,plain,
% 0.12/0.40 (^[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)))))))))),
% 0.12/0.40 inference(bind,[status(th)],[])).
% 0.12/0.40 tff(48,plain,
% 0.12/0.40 (![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))))))))),
% 0.12/0.40 inference(quant_intro,[status(thm)],[47])).
% 0.12/0.40 tff(49,plain,
% 0.12/0.40 (![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)))))),
% 0.12/0.40 inference(rewrite,[status(thm)],[])).
% 0.12/0.40 tff(50,plain,
% 0.12/0.40 (^[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)))))))),
% 0.12/0.40 inference(bind,[status(th)],[])).
% 0.12/0.40 tff(51,plain,
% 0.12/0.40 (![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)))))),
% 0.12/0.40 inference(quant_intro,[status(thm)],[50])).
% 0.12/0.40 tff(52,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')).
% 0.12/0.40 tff(53,plain,
% 0.12/0.40 (![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)))))),
% 0.12/0.40 inference(modus_ponens,[status(thm)],[52, 51])).
% 0.12/0.40 tff(54,plain,
% 0.12/0.40 (![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)))))),
% 0.12/0.41 inference(modus_ponens,[status(thm)],[53, 49])).
% 0.12/0.41 tff(55,plain,(
% 0.12/0.41 ![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)))))),
% 0.12/0.41 inference(skolemize,[status(sab)],[54])).
% 0.12/0.41 tff(56,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))))))))),
% 0.12/0.41 inference(modus_ponens,[status(thm)],[55, 48])).
% 0.12/0.41 tff(57,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))))))))),
% 0.12/0.41 inference(modus_ponens,[status(thm)],[56, 46])).
% 0.12/0.41 tff(58,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))))))))),
% 0.12/0.41 inference(modus_ponens,[status(thm)],[57, 44])).
% 0.12/0.41 tff(59,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))))))))) | ((~organization(X!2)) | (~((~(greater(capability(X!2, T!0), capability(X!2, T0!1)) | (~greater(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1))) | (~smaller_or_equal(internal_friction(X!2, T!0), internal_friction(X!2, T0!1))))) | (~(smaller(capability(X!2, T!0), capability(X!2, T0!1)) | (~smaller_or_equal(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1))) | (~greater(internal_friction(X!2, T!0), internal_friction(X!2, T0!1))))) | (~((capability(X!2, T!0) = capability(X!2, T0!1)) | (~(stock_of_knowledge(X!2, T!0) = stock_of_knowledge(X!2, T0!1))) | (~(internal_friction(X!2, T!0) = internal_friction(X!2, T0!1))))))))) <=> ((~![X: $i, T0: $i, T: $i] : ((~organization(X)) | (~((~(greater(capability(X, T), capability(X, T0)) | (~greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))) | (~smaller_or_equal(internal_friction(X, T), internal_friction(X, T0))))) | (~(smaller(capability(X, T), capability(X, T0)) | (~smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))) | (~greater(internal_friction(X, T), internal_friction(X, T0))))) | (~((capability(X, T) = capability(X, T0)) | (~(stock_of_knowledge(X, T) = stock_of_knowledge(X, T0))) | (~(internal_friction(X, T) = internal_friction(X, T0))))))))) | (~organization(X!2)) | (~((~(greater(capability(X!2, T!0), capability(X!2, T0!1)) | (~greater(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1))) | (~smaller_or_equal(internal_friction(X!2, T!0), internal_friction(X!2, T0!1))))) | (~(smaller(capability(X!2, T!0), capability(X!2, T0!1)) | (~smaller_or_equal(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1))) | (~greater(internal_friction(X!2, T!0), internal_friction(X!2, T0!1))))) | (~((capability(X!2, T!0) = capability(X!2, T0!1)) | (~(stock_of_knowledge(X!2, T!0) = stock_of_knowledge(X!2, T0!1))) | (~(internal_friction(X!2, T!0) = internal_friction(X!2, T0!1))))))))),
% 0.12/0.41 inference(rewrite,[status(thm)],[])).
% 0.12/0.41 tff(60,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))))))))) | ((~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))))))))),
% 0.12/0.41 inference(quant_inst,[status(thm)],[])).
% 0.12/0.41 tff(61,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))))))))) | (~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)))))))),
% 0.12/0.41 inference(modus_ponens,[status(thm)],[60, 59])).
% 0.12/0.41 tff(62,plain,
% 0.12/0.41 (~((~(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))))))),
% 0.12/0.41 inference(unit_resolution,[status(thm)],[61, 58, 10])).
% 0.12/0.41 tff(63,plain,
% 0.12/0.41 (((~(greater(capability(X!2, T!0), capability(X!2, T0!1)) | (~greater(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1))) | (~smaller_or_equal(internal_friction(X!2, T!0), internal_friction(X!2, T0!1))))) | (~(smaller(capability(X!2, T!0), capability(X!2, T0!1)) | (~smaller_or_equal(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1))) | (~greater(internal_friction(X!2, T!0), internal_friction(X!2, T0!1))))) | (~((capability(X!2, T!0) = capability(X!2, T0!1)) | (~(stock_of_knowledge(X!2, T!0) = stock_of_knowledge(X!2, T0!1))) | (~(internal_friction(X!2, T!0) = internal_friction(X!2, T0!1)))))) | (greater(capability(X!2, T!0), capability(X!2, T0!1)) | (~greater(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1))) | (~smaller_or_equal(internal_friction(X!2, T!0), internal_friction(X!2, T0!1))))),
% 0.12/0.41 inference(tautology,[status(thm)],[])).
% 0.12/0.41 tff(64,plain,
% 0.12/0.41 (greater(capability(X!2, T!0), capability(X!2, T0!1)) | (~greater(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1))) | (~smaller_or_equal(internal_friction(X!2, T!0), internal_friction(X!2, T0!1)))),
% 0.12/0.41 inference(unit_resolution,[status(thm)],[63, 62])).
% 0.12/0.41 tff(65,plain,
% 0.12/0.41 (~greater(capability(X!2, T!0), capability(X!2, T0!1))),
% 0.12/0.41 inference(or_elim,[status(thm)],[8])).
% 0.12/0.41 tff(66,plain,
% 0.12/0.41 ((~(greater(capability(X!2, T!0), capability(X!2, T0!1)) | (~greater(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1))) | (~smaller_or_equal(internal_friction(X!2, T!0), internal_friction(X!2, T0!1))))) | greater(capability(X!2, T!0), capability(X!2, T0!1)) | (~greater(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1))) | (~smaller_or_equal(internal_friction(X!2, T!0), internal_friction(X!2, T0!1)))),
% 0.12/0.41 inference(tautology,[status(thm)],[])).
% 0.12/0.41 tff(67,plain,
% 0.12/0.41 ((~(greater(capability(X!2, T!0), capability(X!2, T0!1)) | (~greater(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1))) | (~smaller_or_equal(internal_friction(X!2, T!0), internal_friction(X!2, T0!1))))) | (~greater(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1))) | (~smaller_or_equal(internal_friction(X!2, T!0), internal_friction(X!2, T0!1)))),
% 0.12/0.41 inference(unit_resolution,[status(thm)],[66, 65])).
% 0.12/0.41 tff(68,plain,
% 0.12/0.41 ((~greater(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1))) | (~smaller_or_equal(internal_friction(X!2, T!0), internal_friction(X!2, T0!1)))),
% 0.12/0.41 inference(unit_resolution,[status(thm)],[67, 64])).
% 0.12/0.41 tff(69,plain,
% 0.12/0.41 (~greater(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1))),
% 0.12/0.41 inference(unit_resolution,[status(thm)],[68, 43])).
% 0.12/0.41 tff(70,plain,
% 0.12/0.41 (greater(age(X!2, T!0), age(X!2, T0!1))),
% 0.12/0.41 inference(and_elim,[status(thm)],[9])).
% 0.12/0.41 tff(71,plain,
% 0.12/0.41 (^[X: $i, T0: $i, T: $i] : refl((greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0)))) <=> (greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0)))))),
% 0.12/0.41 inference(bind,[status(th)],[])).
% 0.12/0.41 tff(72,plain,
% 0.12/0.41 (![X: $i, T0: $i, T: $i] : (greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0)))) <=> ![X: $i, T0: $i, T: $i] : (greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0))))),
% 0.12/0.41 inference(quant_intro,[status(thm)],[71])).
% 0.12/0.41 tff(73,plain,
% 0.12/0.41 (^[X: $i, T0: $i, T: $i] : trans(monotonicity(trans(monotonicity(rewrite((organization(X) & greater(age(X, T), age(X, T0))) <=> (~((~organization(X)) | (~greater(age(X, T), age(X, T0)))))), ((~(organization(X) & greater(age(X, T), age(X, T0)))) <=> (~(~((~organization(X)) | (~greater(age(X, T), age(X, T0)))))))), rewrite((~(~((~organization(X)) | (~greater(age(X, T), age(X, T0)))))) <=> ((~organization(X)) | (~greater(age(X, T), age(X, T0))))), ((~(organization(X) & greater(age(X, T), age(X, T0)))) <=> ((~organization(X)) | (~greater(age(X, T), age(X, T0)))))), (((~(organization(X) & greater(age(X, T), age(X, T0)))) | greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))) <=> (((~organization(X)) | (~greater(age(X, T), age(X, T0)))) | greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))))), rewrite((((~organization(X)) | (~greater(age(X, T), age(X, T0)))) | greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))) <=> (greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0))))), (((~(organization(X) & greater(age(X, T), age(X, T0)))) | greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))) <=> (greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0))))))),
% 0.12/0.41 inference(bind,[status(th)],[])).
% 0.12/0.41 tff(74,plain,
% 0.12/0.41 (![X: $i, T0: $i, T: $i] : ((~(organization(X) & greater(age(X, T), age(X, T0)))) | greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))) <=> ![X: $i, T0: $i, T: $i] : (greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0))))),
% 0.12/0.41 inference(quant_intro,[status(thm)],[73])).
% 0.12/0.41 tff(75,plain,
% 0.12/0.41 (![X: $i, T0: $i, T: $i] : ((~(organization(X) & greater(age(X, T), age(X, T0)))) | greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))) <=> ![X: $i, T0: $i, T: $i] : ((~(organization(X) & greater(age(X, T), age(X, T0)))) | greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)))),
% 0.12/0.41 inference(rewrite,[status(thm)],[])).
% 0.12/0.41 tff(76,plain,
% 0.12/0.41 (^[X: $i, T0: $i, T: $i] : rewrite(((organization(X) & greater(age(X, T), age(X, T0))) => greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))) <=> ((~(organization(X) & greater(age(X, T), age(X, T0)))) | greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))))),
% 0.12/0.41 inference(bind,[status(th)],[])).
% 0.12/0.41 tff(77,plain,
% 0.12/0.41 (![X: $i, T0: $i, T: $i] : ((organization(X) & greater(age(X, T), age(X, T0))) => greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))) <=> ![X: $i, T0: $i, T: $i] : ((~(organization(X) & greater(age(X, T), age(X, T0)))) | greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)))),
% 0.12/0.41 inference(quant_intro,[status(thm)],[76])).
% 0.12/0.41 tff(78,axiom,(![X: $i, T0: $i, T: $i] : ((organization(X) & greater(age(X, T), age(X, T0))) => greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','assumption_7')).
% 0.12/0.41 tff(79,plain,
% 0.12/0.41 (![X: $i, T0: $i, T: $i] : ((~(organization(X) & greater(age(X, T), age(X, T0)))) | greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)))),
% 0.12/0.41 inference(modus_ponens,[status(thm)],[78, 77])).
% 0.12/0.41 tff(80,plain,
% 0.12/0.41 (![X: $i, T0: $i, T: $i] : ((~(organization(X) & greater(age(X, T), age(X, T0)))) | greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)))),
% 0.12/0.41 inference(modus_ponens,[status(thm)],[79, 75])).
% 0.12/0.41 tff(81,plain,(
% 0.12/0.41 ![X: $i, T0: $i, T: $i] : ((~(organization(X) & greater(age(X, T), age(X, T0)))) | greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)))),
% 0.12/0.41 inference(skolemize,[status(sab)],[80])).
% 0.12/0.41 tff(82,plain,
% 0.12/0.41 (![X: $i, T0: $i, T: $i] : (greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0))))),
% 0.12/0.41 inference(modus_ponens,[status(thm)],[81, 74])).
% 0.12/0.41 tff(83,plain,
% 0.12/0.41 (![X: $i, T0: $i, T: $i] : (greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0))))),
% 0.12/0.41 inference(modus_ponens,[status(thm)],[82, 72])).
% 0.12/0.41 tff(84,plain,
% 0.12/0.41 (((~![X: $i, T0: $i, T: $i] : (greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0))))) | ((~greater(age(X!2, T!0), age(X!2, T0!1))) | (~organization(X!2)) | greater(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1)))) <=> ((~![X: $i, T0: $i, T: $i] : (greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0))))) | (~greater(age(X!2, T!0), age(X!2, T0!1))) | (~organization(X!2)) | greater(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1)))),
% 0.12/0.42 inference(rewrite,[status(thm)],[])).
% 0.12/0.42 tff(85,plain,
% 0.12/0.42 ((greater(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1)) | (~organization(X!2)) | (~greater(age(X!2, T!0), age(X!2, T0!1)))) <=> ((~greater(age(X!2, T!0), age(X!2, T0!1))) | (~organization(X!2)) | greater(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1)))),
% 0.12/0.42 inference(rewrite,[status(thm)],[])).
% 0.12/0.42 tff(86,plain,
% 0.12/0.42 (((~![X: $i, T0: $i, T: $i] : (greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0))))) | (greater(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1)) | (~organization(X!2)) | (~greater(age(X!2, T!0), age(X!2, T0!1))))) <=> ((~![X: $i, T0: $i, T: $i] : (greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0))))) | ((~greater(age(X!2, T!0), age(X!2, T0!1))) | (~organization(X!2)) | greater(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1))))),
% 0.12/0.42 inference(monotonicity,[status(thm)],[85])).
% 0.12/0.42 tff(87,plain,
% 0.12/0.42 (((~![X: $i, T0: $i, T: $i] : (greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0))))) | (greater(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1)) | (~organization(X!2)) | (~greater(age(X!2, T!0), age(X!2, T0!1))))) <=> ((~![X: $i, T0: $i, T: $i] : (greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0))))) | (~greater(age(X!2, T!0), age(X!2, T0!1))) | (~organization(X!2)) | greater(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1)))),
% 0.12/0.42 inference(transitivity,[status(thm)],[86, 84])).
% 0.12/0.42 tff(88,plain,
% 0.12/0.42 ((~![X: $i, T0: $i, T: $i] : (greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0))))) | (greater(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1)) | (~organization(X!2)) | (~greater(age(X!2, T!0), age(X!2, T0!1))))),
% 0.12/0.42 inference(quant_inst,[status(thm)],[])).
% 0.12/0.42 tff(89,plain,
% 0.12/0.42 ((~![X: $i, T0: $i, T: $i] : (greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0))))) | (~greater(age(X!2, T!0), age(X!2, T0!1))) | (~organization(X!2)) | greater(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1))),
% 0.12/0.42 inference(modus_ponens,[status(thm)],[88, 87])).
% 0.12/0.42 tff(90,plain,
% 0.12/0.42 ($false),
% 0.12/0.42 inference(unit_resolution,[status(thm)],[89, 83, 10, 70, 69])).
% 0.12/0.42 % SZS output end Proof
% 0.12/0.42 % E exiting
%------------------------------------------------------------------------------