%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : MGT048-1 : TPTP v9.3.0. Released v2.4.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : run_E %s %d THM
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 8 06:24:06 AM UTC 2026
% Result : Unsatisfiable 0.01s 0.42s
% Output : Proof 0.01s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT048-1 : TPTP v9.3.0. Released v2.4.0.
% 0.00/0.03 % Command : run_E %s %d THM
% 0.09/0.35 % Computer : n005.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.01/0.35 % CPULimit : 300
% 0.01/0.35 % WCLimit : 300
% 0.01/0.35 % DateTime : Mon Sep 7 13:15:22 UTC 2026
% 0.01/0.36 % CPUTime :
% 0.01/0.42 % SZS status Unsatisfiable
% 0.01/0.42 % SZS output start Proof
% 0.01/0.42 tff(greater_type, type, (
% 0.01/0.42 greater: ( $i * $i ) > $o)).
% 0.01/0.42 tff(internal_friction_type, type, (
% 0.01/0.42 internal_friction: ( $i * $i ) > $i)).
% 0.01/0.42 tff(sk2_type, type, (
% 0.01/0.42 sk2: $i)).
% 0.01/0.42 tff(sk1_type, type, (
% 0.01/0.42 sk1: $i)).
% 0.01/0.42 tff(sk3_type, type, (
% 0.01/0.42 sk3: $i)).
% 0.01/0.42 tff(smaller_or_equal_type, type, (
% 0.01/0.42 smaller_or_equal: ( $i * $i ) > $o)).
% 0.01/0.42 tff(stock_of_knowledge_type, type, (
% 0.01/0.42 stock_of_knowledge: ( $i * $i ) > $i)).
% 0.01/0.42 tff(organization_type, type, (
% 0.01/0.42 organization: $i > $o)).
% 0.01/0.42 tff(smaller_type, type, (
% 0.01/0.42 smaller: ( $i * $i ) > $o)).
% 0.01/0.42 tff(capability_type, type, (
% 0.01/0.42 capability: ( $i * $i ) > $i)).
% 0.01/0.42 tff(age_type, type, (
% 0.01/0.42 age: ( $i * $i ) > $i)).
% 0.01/0.42 tff(1,plain,
% 0.01/0.42 (organization(sk1) <=> organization(sk1)),
% 0.01/0.42 inference(rewrite,[status(thm)],[])).
% 0.01/0.42 tff(2,axiom,(organization(sk1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','lemma_5_37')).
% 0.01/0.42 tff(3,plain,
% 0.01/0.42 (organization(sk1)),
% 0.01/0.42 inference(modus_ponens,[status(thm)],[2, 1])).
% 0.01/0.42 tff(4,plain,
% 0.01/0.42 (^[B: $i, A: $i, C: $i] : refl(((~organization(A)) | (stock_of_knowledge(A, B) = stock_of_knowledge(A, C))) <=> ((~organization(A)) | (stock_of_knowledge(A, B) = stock_of_knowledge(A, C))))),
% 0.01/0.42 inference(bind,[status(th)],[])).
% 0.01/0.42 tff(5,plain,
% 0.01/0.42 (![B: $i, A: $i, C: $i] : ((~organization(A)) | (stock_of_knowledge(A, B) = stock_of_knowledge(A, C))) <=> ![B: $i, A: $i, C: $i] : ((~organization(A)) | (stock_of_knowledge(A, B) = stock_of_knowledge(A, C)))),
% 0.01/0.42 inference(quant_intro,[status(thm)],[4])).
% 0.01/0.42 tff(6,plain,
% 0.01/0.42 (![B: $i, A: $i, C: $i] : ((~organization(A)) | (stock_of_knowledge(A, B) = stock_of_knowledge(A, C))) <=> ![B: $i, A: $i, C: $i] : ((~organization(A)) | (stock_of_knowledge(A, B) = stock_of_knowledge(A, C)))),
% 0.01/0.42 inference(rewrite,[status(thm)],[])).
% 0.01/0.42 tff(7,axiom,(![B: $i, A: $i, C: $i] : ((~organization(A)) | (stock_of_knowledge(A, B) = stock_of_knowledge(A, C)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','assumption_10_35')).
% 0.01/0.42 tff(8,plain,
% 0.01/0.42 (![B: $i, A: $i, C: $i] : ((~organization(A)) | (stock_of_knowledge(A, B) = stock_of_knowledge(A, C)))),
% 0.01/0.42 inference(modus_ponens,[status(thm)],[7, 6])).
% 0.01/0.42 tff(9,plain,(
% 0.01/0.42 ![B: $i, A: $i, C: $i] : ((~organization(A)) | (stock_of_knowledge(A, B) = stock_of_knowledge(A, C)))),
% 0.01/0.42 inference(skolemize,[status(sab)],[8])).
% 0.01/0.42 tff(10,plain,
% 0.01/0.42 (![B: $i, A: $i, C: $i] : ((~organization(A)) | (stock_of_knowledge(A, B) = stock_of_knowledge(A, C)))),
% 0.01/0.42 inference(modus_ponens,[status(thm)],[9, 5])).
% 0.01/0.42 tff(11,plain,
% 0.01/0.42 (((~![B: $i, A: $i, C: $i] : ((~organization(A)) | (stock_of_knowledge(A, B) = stock_of_knowledge(A, C)))) | ((~organization(sk1)) | (stock_of_knowledge(sk1, sk2) = stock_of_knowledge(sk1, sk3)))) <=> ((~![B: $i, A: $i, C: $i] : ((~organization(A)) | (stock_of_knowledge(A, B) = stock_of_knowledge(A, C)))) | (~organization(sk1)) | (stock_of_knowledge(sk1, sk2) = stock_of_knowledge(sk1, sk3)))),
% 0.01/0.42 inference(rewrite,[status(thm)],[])).
% 0.01/0.42 tff(12,plain,
% 0.01/0.42 ((~![B: $i, A: $i, C: $i] : ((~organization(A)) | (stock_of_knowledge(A, B) = stock_of_knowledge(A, C)))) | ((~organization(sk1)) | (stock_of_knowledge(sk1, sk2) = stock_of_knowledge(sk1, sk3)))),
% 0.01/0.42 inference(quant_inst,[status(thm)],[])).
% 0.01/0.42 tff(13,plain,
% 0.01/0.42 ((~![B: $i, A: $i, C: $i] : ((~organization(A)) | (stock_of_knowledge(A, B) = stock_of_knowledge(A, C)))) | (~organization(sk1)) | (stock_of_knowledge(sk1, sk2) = stock_of_knowledge(sk1, sk3))),
% 0.01/0.42 inference(modus_ponens,[status(thm)],[12, 11])).
% 0.01/0.42 tff(14,plain,
% 0.01/0.42 (stock_of_knowledge(sk1, sk2) = stock_of_knowledge(sk1, sk3)),
% 0.01/0.42 inference(unit_resolution,[status(thm)],[13, 10, 3])).
% 0.01/0.42 tff(15,plain,
% 0.01/0.42 (smaller_or_equal(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2)) <=> smaller_or_equal(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk3))),
% 0.01/0.42 inference(monotonicity,[status(thm)],[14])).
% 0.01/0.42 tff(16,plain,
% 0.01/0.42 (smaller_or_equal(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk3)) <=> smaller_or_equal(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2))),
% 0.01/0.42 inference(symmetry,[status(thm)],[15])).
% 0.01/0.42 tff(17,assumption,(~smaller_or_equal(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk3))), introduced(assumption)).
% 0.01/0.42 tff(18,plain,
% 0.01/0.42 (^[B: $i] : refl(smaller_or_equal(B, B) <=> smaller_or_equal(B, B))),
% 0.01/0.42 inference(bind,[status(th)],[])).
% 0.01/0.42 tff(19,plain,
% 0.01/0.42 (![B: $i] : smaller_or_equal(B, B) <=> ![B: $i] : smaller_or_equal(B, B)),
% 0.01/0.42 inference(quant_intro,[status(thm)],[18])).
% 0.01/0.42 tff(20,plain,
% 0.01/0.42 (![B: $i] : smaller_or_equal(B, B) <=> ![B: $i] : smaller_or_equal(B, B)),
% 0.01/0.42 inference(rewrite,[status(thm)],[])).
% 0.01/0.42 tff(21,plain,
% 0.01/0.42 (![B: $i, A: $i] : smaller_or_equal(B, B) <=> ![B: $i] : smaller_or_equal(B, B)),
% 0.01/0.42 inference(elim_unused_vars,[status(thm)],[])).
% 0.01/0.42 tff(22,plain,
% 0.01/0.42 (![B: $i, A: $i] : ((~(A = B)) | smaller_or_equal(A, B)) <=> ![B: $i, A: $i] : smaller_or_equal(B, B)),
% 0.01/0.42 inference(destructive_equality_resolution,[status(thm)],[])).
% 0.01/0.42 tff(23,plain,
% 0.01/0.42 (![B: $i, A: $i] : ((~(A = B)) | smaller_or_equal(A, B)) <=> ![B: $i] : smaller_or_equal(B, B)),
% 0.01/0.42 inference(transitivity,[status(thm)],[22, 21])).
% 0.01/0.42 tff(24,axiom,(![B: $i, A: $i] : ((~(A = B)) | smaller_or_equal(A, B))), file('/export/starexec/sandbox2/benchmark/Axioms/MGT001-0.ax','definition_smaller_or_equal_3')).
% 0.01/0.42 tff(25,plain,
% 0.01/0.42 (![B: $i] : smaller_or_equal(B, B)),
% 0.01/0.42 inference(modus_ponens,[status(thm)],[24, 23])).
% 0.01/0.42 tff(26,plain,
% 0.01/0.42 (![B: $i] : smaller_or_equal(B, B)),
% 0.01/0.42 inference(modus_ponens,[status(thm)],[25, 20])).
% 0.01/0.42 tff(27,plain,(
% 0.01/0.42 ![B: $i] : smaller_or_equal(B, B)),
% 0.01/0.42 inference(skolemize,[status(sab)],[26])).
% 0.01/0.42 tff(28,plain,
% 0.01/0.42 (![B: $i] : smaller_or_equal(B, B)),
% 0.01/0.42 inference(modus_ponens,[status(thm)],[27, 19])).
% 0.01/0.42 tff(29,plain,
% 0.01/0.42 ((~![B: $i] : smaller_or_equal(B, B)) | smaller_or_equal(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk3))),
% 0.01/0.42 inference(quant_inst,[status(thm)],[])).
% 0.01/0.42 tff(30,plain,
% 0.01/0.42 ($false),
% 0.01/0.42 inference(unit_resolution,[status(thm)],[29, 28, 17])).
% 0.01/0.42 tff(31,plain,(smaller_or_equal(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk3))), inference(lemma,lemma(discharge,[]))).
% 0.01/0.42 tff(32,plain,
% 0.01/0.42 (smaller_or_equal(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2))),
% 0.01/0.42 inference(modus_ponens,[status(thm)],[31, 16])).
% 0.01/0.42 tff(33,assumption,(~smaller_or_equal(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2))), introduced(assumption)).
% 0.01/0.42 tff(34,plain,
% 0.01/0.42 ($false),
% 0.01/0.42 inference(unit_resolution,[status(thm)],[33, 32])).
% 0.01/0.42 tff(35,plain,(smaller_or_equal(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2))), inference(lemma,lemma(discharge,[]))).
% 0.01/0.42 tff(36,plain,
% 0.01/0.42 ((~smaller(capability(sk1, sk3), capability(sk1, sk2))) <=> (~smaller(capability(sk1, sk3), capability(sk1, sk2)))),
% 0.01/0.42 inference(rewrite,[status(thm)],[])).
% 0.01/0.42 tff(37,axiom,(~smaller(capability(sk1, sk3), capability(sk1, sk2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','lemma_5_39')).
% 0.01/0.42 tff(38,plain,
% 0.01/0.42 (~smaller(capability(sk1, sk3), capability(sk1, sk2))),
% 0.01/0.42 inference(modus_ponens,[status(thm)],[37, 36])).
% 0.01/0.42 tff(39,plain,
% 0.01/0.42 (^[B: $i, A: $i, C: $i] : refl(((~organization(A)) | smaller(capability(A, B), capability(A, C)) | (~greater(internal_friction(A, B), internal_friction(A, C))) | (~smaller_or_equal(stock_of_knowledge(A, B), stock_of_knowledge(A, C)))) <=> ((~organization(A)) | smaller(capability(A, B), capability(A, C)) | (~greater(internal_friction(A, B), internal_friction(A, C))) | (~smaller_or_equal(stock_of_knowledge(A, B), stock_of_knowledge(A, C)))))),
% 0.01/0.42 inference(bind,[status(th)],[])).
% 0.01/0.42 tff(40,plain,
% 0.01/0.42 (![B: $i, A: $i, C: $i] : ((~organization(A)) | smaller(capability(A, B), capability(A, C)) | (~greater(internal_friction(A, B), internal_friction(A, C))) | (~smaller_or_equal(stock_of_knowledge(A, B), stock_of_knowledge(A, C)))) <=> ![B: $i, A: $i, C: $i] : ((~organization(A)) | smaller(capability(A, B), capability(A, C)) | (~greater(internal_friction(A, B), internal_friction(A, C))) | (~smaller_or_equal(stock_of_knowledge(A, B), stock_of_knowledge(A, C))))),
% 0.01/0.42 inference(quant_intro,[status(thm)],[39])).
% 0.01/0.42 tff(41,plain,
% 0.01/0.42 (![B: $i, A: $i, C: $i] : ((~organization(A)) | smaller(capability(A, B), capability(A, C)) | (~greater(internal_friction(A, B), internal_friction(A, C))) | (~smaller_or_equal(stock_of_knowledge(A, B), stock_of_knowledge(A, C)))) <=> ![B: $i, A: $i, C: $i] : ((~organization(A)) | smaller(capability(A, B), capability(A, C)) | (~greater(internal_friction(A, B), internal_friction(A, C))) | (~smaller_or_equal(stock_of_knowledge(A, B), stock_of_knowledge(A, C))))),
% 0.01/0.42 inference(rewrite,[status(thm)],[])).
% 0.01/0.42 tff(42,plain,
% 0.01/0.42 (^[B: $i, A: $i, C: $i] : trans(monotonicity(rewrite((((~organization(A)) | (~smaller_or_equal(stock_of_knowledge(A, B), stock_of_knowledge(A, C)))) | (~greater(internal_friction(A, B), internal_friction(A, C)))) <=> ((~organization(A)) | (~greater(internal_friction(A, B), internal_friction(A, C))) | (~smaller_or_equal(stock_of_knowledge(A, B), stock_of_knowledge(A, C))))), (((((~organization(A)) | (~smaller_or_equal(stock_of_knowledge(A, B), stock_of_knowledge(A, C)))) | (~greater(internal_friction(A, B), internal_friction(A, C)))) | smaller(capability(A, B), capability(A, C))) <=> (((~organization(A)) | (~greater(internal_friction(A, B), internal_friction(A, C))) | (~smaller_or_equal(stock_of_knowledge(A, B), stock_of_knowledge(A, C)))) | smaller(capability(A, B), capability(A, C))))), rewrite((((~organization(A)) | (~greater(internal_friction(A, B), internal_friction(A, C))) | (~smaller_or_equal(stock_of_knowledge(A, B), stock_of_knowledge(A, C)))) | smaller(capability(A, B), capability(A, C))) <=> ((~organization(A)) | smaller(capability(A, B), capability(A, C)) | (~greater(internal_friction(A, B), internal_friction(A, C))) | (~smaller_or_equal(stock_of_knowledge(A, B), stock_of_knowledge(A, C))))), (((((~organization(A)) | (~smaller_or_equal(stock_of_knowledge(A, B), stock_of_knowledge(A, C)))) | (~greater(internal_friction(A, B), internal_friction(A, C)))) | smaller(capability(A, B), capability(A, C))) <=> ((~organization(A)) | smaller(capability(A, B), capability(A, C)) | (~greater(internal_friction(A, B), internal_friction(A, C))) | (~smaller_or_equal(stock_of_knowledge(A, B), stock_of_knowledge(A, C))))))),
% 0.01/0.42 inference(bind,[status(th)],[])).
% 0.01/0.42 tff(43,plain,
% 0.01/0.42 (![B: $i, A: $i, C: $i] : ((((~organization(A)) | (~smaller_or_equal(stock_of_knowledge(A, B), stock_of_knowledge(A, C)))) | (~greater(internal_friction(A, B), internal_friction(A, C)))) | smaller(capability(A, B), capability(A, C))) <=> ![B: $i, A: $i, C: $i] : ((~organization(A)) | smaller(capability(A, B), capability(A, C)) | (~greater(internal_friction(A, B), internal_friction(A, C))) | (~smaller_or_equal(stock_of_knowledge(A, B), stock_of_knowledge(A, C))))),
% 0.01/0.42 inference(quant_intro,[status(thm)],[42])).
% 0.01/0.42 tff(44,axiom,(![B: $i, A: $i, C: $i] : ((((~organization(A)) | (~smaller_or_equal(stock_of_knowledge(A, B), stock_of_knowledge(A, C)))) | (~greater(internal_friction(A, B), internal_friction(A, C)))) | smaller(capability(A, B), capability(A, C)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','assumption_5_33')).
% 0.01/0.42 tff(45,plain,
% 0.01/0.42 (![B: $i, A: $i, C: $i] : ((~organization(A)) | smaller(capability(A, B), capability(A, C)) | (~greater(internal_friction(A, B), internal_friction(A, C))) | (~smaller_or_equal(stock_of_knowledge(A, B), stock_of_knowledge(A, C))))),
% 0.01/0.42 inference(modus_ponens,[status(thm)],[44, 43])).
% 0.01/0.42 tff(46,plain,
% 0.01/0.42 (![B: $i, A: $i, C: $i] : ((~organization(A)) | smaller(capability(A, B), capability(A, C)) | (~greater(internal_friction(A, B), internal_friction(A, C))) | (~smaller_or_equal(stock_of_knowledge(A, B), stock_of_knowledge(A, C))))),
% 0.01/0.42 inference(modus_ponens,[status(thm)],[45, 41])).
% 0.01/0.42 tff(47,plain,(
% 0.01/0.42 ![B: $i, A: $i, C: $i] : ((~organization(A)) | smaller(capability(A, B), capability(A, C)) | (~greater(internal_friction(A, B), internal_friction(A, C))) | (~smaller_or_equal(stock_of_knowledge(A, B), stock_of_knowledge(A, C))))),
% 0.01/0.42 inference(skolemize,[status(sab)],[46])).
% 0.01/0.42 tff(48,plain,
% 0.01/0.42 (![B: $i, A: $i, C: $i] : ((~organization(A)) | smaller(capability(A, B), capability(A, C)) | (~greater(internal_friction(A, B), internal_friction(A, C))) | (~smaller_or_equal(stock_of_knowledge(A, B), stock_of_knowledge(A, C))))),
% 0.01/0.42 inference(modus_ponens,[status(thm)],[47, 40])).
% 0.01/0.42 tff(49,plain,
% 0.01/0.42 (((~![B: $i, A: $i, C: $i] : ((~organization(A)) | smaller(capability(A, B), capability(A, C)) | (~greater(internal_friction(A, B), internal_friction(A, C))) | (~smaller_or_equal(stock_of_knowledge(A, B), stock_of_knowledge(A, C))))) | (smaller(capability(sk1, sk3), capability(sk1, sk2)) | (~organization(sk1)) | (~greater(internal_friction(sk1, sk3), internal_friction(sk1, sk2))) | (~smaller_or_equal(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2))))) <=> ((~![B: $i, A: $i, C: $i] : ((~organization(A)) | smaller(capability(A, B), capability(A, C)) | (~greater(internal_friction(A, B), internal_friction(A, C))) | (~smaller_or_equal(stock_of_knowledge(A, B), stock_of_knowledge(A, C))))) | smaller(capability(sk1, sk3), capability(sk1, sk2)) | (~organization(sk1)) | (~greater(internal_friction(sk1, sk3), internal_friction(sk1, sk2))) | (~smaller_or_equal(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2))))),
% 0.01/0.42 inference(rewrite,[status(thm)],[])).
% 0.01/0.42 tff(50,plain,
% 0.01/0.42 (((~organization(sk1)) | smaller(capability(sk1, sk3), capability(sk1, sk2)) | (~greater(internal_friction(sk1, sk3), internal_friction(sk1, sk2))) | (~smaller_or_equal(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2)))) <=> (smaller(capability(sk1, sk3), capability(sk1, sk2)) | (~organization(sk1)) | (~greater(internal_friction(sk1, sk3), internal_friction(sk1, sk2))) | (~smaller_or_equal(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2))))),
% 0.01/0.42 inference(rewrite,[status(thm)],[])).
% 0.01/0.42 tff(51,plain,
% 0.01/0.42 (((~![B: $i, A: $i, C: $i] : ((~organization(A)) | smaller(capability(A, B), capability(A, C)) | (~greater(internal_friction(A, B), internal_friction(A, C))) | (~smaller_or_equal(stock_of_knowledge(A, B), stock_of_knowledge(A, C))))) | ((~organization(sk1)) | smaller(capability(sk1, sk3), capability(sk1, sk2)) | (~greater(internal_friction(sk1, sk3), internal_friction(sk1, sk2))) | (~smaller_or_equal(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2))))) <=> ((~![B: $i, A: $i, C: $i] : ((~organization(A)) | smaller(capability(A, B), capability(A, C)) | (~greater(internal_friction(A, B), internal_friction(A, C))) | (~smaller_or_equal(stock_of_knowledge(A, B), stock_of_knowledge(A, C))))) | (smaller(capability(sk1, sk3), capability(sk1, sk2)) | (~organization(sk1)) | (~greater(internal_friction(sk1, sk3), internal_friction(sk1, sk2))) | (~smaller_or_equal(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2)))))),
% 0.01/0.42 inference(monotonicity,[status(thm)],[50])).
% 0.01/0.42 tff(52,plain,
% 0.01/0.42 (((~![B: $i, A: $i, C: $i] : ((~organization(A)) | smaller(capability(A, B), capability(A, C)) | (~greater(internal_friction(A, B), internal_friction(A, C))) | (~smaller_or_equal(stock_of_knowledge(A, B), stock_of_knowledge(A, C))))) | ((~organization(sk1)) | smaller(capability(sk1, sk3), capability(sk1, sk2)) | (~greater(internal_friction(sk1, sk3), internal_friction(sk1, sk2))) | (~smaller_or_equal(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2))))) <=> ((~![B: $i, A: $i, C: $i] : ((~organization(A)) | smaller(capability(A, B), capability(A, C)) | (~greater(internal_friction(A, B), internal_friction(A, C))) | (~smaller_or_equal(stock_of_knowledge(A, B), stock_of_knowledge(A, C))))) | smaller(capability(sk1, sk3), capability(sk1, sk2)) | (~organization(sk1)) | (~greater(internal_friction(sk1, sk3), internal_friction(sk1, sk2))) | (~smaller_or_equal(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2))))),
% 0.01/0.42 inference(transitivity,[status(thm)],[51, 49])).
% 0.01/0.42 tff(53,plain,
% 0.01/0.42 ((~![B: $i, A: $i, C: $i] : ((~organization(A)) | smaller(capability(A, B), capability(A, C)) | (~greater(internal_friction(A, B), internal_friction(A, C))) | (~smaller_or_equal(stock_of_knowledge(A, B), stock_of_knowledge(A, C))))) | ((~organization(sk1)) | smaller(capability(sk1, sk3), capability(sk1, sk2)) | (~greater(internal_friction(sk1, sk3), internal_friction(sk1, sk2))) | (~smaller_or_equal(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2))))),
% 0.01/0.42 inference(quant_inst,[status(thm)],[])).
% 0.01/0.42 tff(54,plain,
% 0.01/0.42 ((~![B: $i, A: $i, C: $i] : ((~organization(A)) | smaller(capability(A, B), capability(A, C)) | (~greater(internal_friction(A, B), internal_friction(A, C))) | (~smaller_or_equal(stock_of_knowledge(A, B), stock_of_knowledge(A, C))))) | smaller(capability(sk1, sk3), capability(sk1, sk2)) | (~organization(sk1)) | (~greater(internal_friction(sk1, sk3), internal_friction(sk1, sk2))) | (~smaller_or_equal(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2)))),
% 0.01/0.42 inference(modus_ponens,[status(thm)],[53, 52])).
% 0.01/0.42 tff(55,plain,
% 0.01/0.42 ((~greater(internal_friction(sk1, sk3), internal_friction(sk1, sk2))) | (~smaller_or_equal(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2)))),
% 0.01/0.42 inference(unit_resolution,[status(thm)],[54, 48, 3, 38])).
% 0.01/0.42 tff(56,plain,
% 0.01/0.42 (~greater(internal_friction(sk1, sk3), internal_friction(sk1, sk2))),
% 0.01/0.42 inference(unit_resolution,[status(thm)],[55, 35])).
% 0.01/0.42 tff(57,plain,
% 0.01/0.42 (greater(age(sk1, sk3), age(sk1, sk2)) <=> greater(age(sk1, sk3), age(sk1, sk2))),
% 0.01/0.42 inference(rewrite,[status(thm)],[])).
% 0.01/0.42 tff(58,axiom,(greater(age(sk1, sk3), age(sk1, sk2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','lemma_5_38')).
% 0.01/0.42 tff(59,plain,
% 0.01/0.42 (greater(age(sk1, sk3), age(sk1, sk2))),
% 0.01/0.42 inference(modus_ponens,[status(thm)],[58, 57])).
% 0.01/0.42 tff(60,plain,
% 0.01/0.42 (^[B: $i, A: $i, C: $i] : refl(((~organization(A)) | greater(internal_friction(A, B), internal_friction(A, C)) | (~greater(age(A, B), age(A, C)))) <=> ((~organization(A)) | greater(internal_friction(A, B), internal_friction(A, C)) | (~greater(age(A, B), age(A, C)))))),
% 0.01/0.42 inference(bind,[status(th)],[])).
% 0.01/0.42 tff(61,plain,
% 0.01/0.42 (![B: $i, A: $i, C: $i] : ((~organization(A)) | greater(internal_friction(A, B), internal_friction(A, C)) | (~greater(age(A, B), age(A, C)))) <=> ![B: $i, A: $i, C: $i] : ((~organization(A)) | greater(internal_friction(A, B), internal_friction(A, C)) | (~greater(age(A, B), age(A, C))))),
% 0.01/0.42 inference(quant_intro,[status(thm)],[60])).
% 0.01/0.42 tff(62,plain,
% 0.01/0.42 (![B: $i, A: $i, C: $i] : ((~organization(A)) | greater(internal_friction(A, B), internal_friction(A, C)) | (~greater(age(A, B), age(A, C)))) <=> ![B: $i, A: $i, C: $i] : ((~organization(A)) | greater(internal_friction(A, B), internal_friction(A, C)) | (~greater(age(A, B), age(A, C))))),
% 0.01/0.42 inference(rewrite,[status(thm)],[])).
% 0.01/0.42 tff(63,plain,
% 0.01/0.42 (^[B: $i, A: $i, C: $i] : rewrite((((~organization(A)) | (~greater(age(A, B), age(A, C)))) | greater(internal_friction(A, B), internal_friction(A, C))) <=> ((~organization(A)) | greater(internal_friction(A, B), internal_friction(A, C)) | (~greater(age(A, B), age(A, C)))))),
% 0.01/0.42 inference(bind,[status(th)],[])).
% 0.01/0.42 tff(64,plain,
% 0.01/0.42 (![B: $i, A: $i, C: $i] : (((~organization(A)) | (~greater(age(A, B), age(A, C)))) | greater(internal_friction(A, B), internal_friction(A, C))) <=> ![B: $i, A: $i, C: $i] : ((~organization(A)) | greater(internal_friction(A, B), internal_friction(A, C)) | (~greater(age(A, B), age(A, C))))),
% 0.01/0.42 inference(quant_intro,[status(thm)],[63])).
% 0.01/0.42 tff(65,axiom,(![B: $i, A: $i, C: $i] : (((~organization(A)) | (~greater(age(A, B), age(A, C)))) | greater(internal_friction(A, B), internal_friction(A, C)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','assumption_12_36')).
% 0.01/0.42 tff(66,plain,
% 0.01/0.42 (![B: $i, A: $i, C: $i] : ((~organization(A)) | greater(internal_friction(A, B), internal_friction(A, C)) | (~greater(age(A, B), age(A, C))))),
% 0.01/0.42 inference(modus_ponens,[status(thm)],[65, 64])).
% 0.01/0.42 tff(67,plain,
% 0.01/0.42 (![B: $i, A: $i, C: $i] : ((~organization(A)) | greater(internal_friction(A, B), internal_friction(A, C)) | (~greater(age(A, B), age(A, C))))),
% 0.01/0.42 inference(modus_ponens,[status(thm)],[66, 62])).
% 0.01/0.42 tff(68,plain,(
% 0.01/0.42 ![B: $i, A: $i, C: $i] : ((~organization(A)) | greater(internal_friction(A, B), internal_friction(A, C)) | (~greater(age(A, B), age(A, C))))),
% 0.01/0.42 inference(skolemize,[status(sab)],[67])).
% 0.01/0.42 tff(69,plain,
% 0.01/0.42 (![B: $i, A: $i, C: $i] : ((~organization(A)) | greater(internal_friction(A, B), internal_friction(A, C)) | (~greater(age(A, B), age(A, C))))),
% 0.01/0.42 inference(modus_ponens,[status(thm)],[68, 61])).
% 0.01/0.43 tff(70,plain,
% 0.01/0.43 (((~![B: $i, A: $i, C: $i] : ((~organization(A)) | greater(internal_friction(A, B), internal_friction(A, C)) | (~greater(age(A, B), age(A, C))))) | ((~greater(age(sk1, sk3), age(sk1, sk2))) | (~organization(sk1)) | greater(internal_friction(sk1, sk3), internal_friction(sk1, sk2)))) <=> ((~![B: $i, A: $i, C: $i] : ((~organization(A)) | greater(internal_friction(A, B), internal_friction(A, C)) | (~greater(age(A, B), age(A, C))))) | (~greater(age(sk1, sk3), age(sk1, sk2))) | (~organization(sk1)) | greater(internal_friction(sk1, sk3), internal_friction(sk1, sk2)))),
% 0.01/0.43 inference(rewrite,[status(thm)],[])).
% 0.01/0.43 tff(71,plain,
% 0.01/0.43 (((~organization(sk1)) | greater(internal_friction(sk1, sk3), internal_friction(sk1, sk2)) | (~greater(age(sk1, sk3), age(sk1, sk2)))) <=> ((~greater(age(sk1, sk3), age(sk1, sk2))) | (~organization(sk1)) | greater(internal_friction(sk1, sk3), internal_friction(sk1, sk2)))),
% 0.01/0.43 inference(rewrite,[status(thm)],[])).
% 0.01/0.43 tff(72,plain,
% 0.01/0.43 (((~![B: $i, A: $i, C: $i] : ((~organization(A)) | greater(internal_friction(A, B), internal_friction(A, C)) | (~greater(age(A, B), age(A, C))))) | ((~organization(sk1)) | greater(internal_friction(sk1, sk3), internal_friction(sk1, sk2)) | (~greater(age(sk1, sk3), age(sk1, sk2))))) <=> ((~![B: $i, A: $i, C: $i] : ((~organization(A)) | greater(internal_friction(A, B), internal_friction(A, C)) | (~greater(age(A, B), age(A, C))))) | ((~greater(age(sk1, sk3), age(sk1, sk2))) | (~organization(sk1)) | greater(internal_friction(sk1, sk3), internal_friction(sk1, sk2))))),
% 0.01/0.43 inference(monotonicity,[status(thm)],[71])).
% 0.01/0.43 tff(73,plain,
% 0.01/0.43 (((~![B: $i, A: $i, C: $i] : ((~organization(A)) | greater(internal_friction(A, B), internal_friction(A, C)) | (~greater(age(A, B), age(A, C))))) | ((~organization(sk1)) | greater(internal_friction(sk1, sk3), internal_friction(sk1, sk2)) | (~greater(age(sk1, sk3), age(sk1, sk2))))) <=> ((~![B: $i, A: $i, C: $i] : ((~organization(A)) | greater(internal_friction(A, B), internal_friction(A, C)) | (~greater(age(A, B), age(A, C))))) | (~greater(age(sk1, sk3), age(sk1, sk2))) | (~organization(sk1)) | greater(internal_friction(sk1, sk3), internal_friction(sk1, sk2)))),
% 0.01/0.43 inference(transitivity,[status(thm)],[72, 70])).
% 0.01/0.43 tff(74,plain,
% 0.01/0.43 ((~![B: $i, A: $i, C: $i] : ((~organization(A)) | greater(internal_friction(A, B), internal_friction(A, C)) | (~greater(age(A, B), age(A, C))))) | ((~organization(sk1)) | greater(internal_friction(sk1, sk3), internal_friction(sk1, sk2)) | (~greater(age(sk1, sk3), age(sk1, sk2))))),
% 0.01/0.43 inference(quant_inst,[status(thm)],[])).
% 0.01/0.43 tff(75,plain,
% 0.01/0.43 ((~![B: $i, A: $i, C: $i] : ((~organization(A)) | greater(internal_friction(A, B), internal_friction(A, C)) | (~greater(age(A, B), age(A, C))))) | (~greater(age(sk1, sk3), age(sk1, sk2))) | (~organization(sk1)) | greater(internal_friction(sk1, sk3), internal_friction(sk1, sk2))),
% 0.01/0.43 inference(modus_ponens,[status(thm)],[74, 73])).
% 0.01/0.43 tff(76,plain,
% 0.01/0.43 ($false),
% 0.01/0.43 inference(unit_resolution,[status(thm)],[75, 69, 3, 59, 56])).
% 0.01/0.43 % SZS output end Proof
% 0.01/0.43 % E exiting
%------------------------------------------------------------------------------