%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : MGT050-1 : TPTP v9.3.0. Released v2.4.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : run_E %s %d THM
% Computer : n027.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 8 06:24:07 AM UTC 2026
% Result : Unsatisfiable 0.09s 0.44s
% Output : Proof 0.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT050-1 : TPTP v9.3.0. Released v2.4.0.
% 0.00/0.03 % Command : run_E %s %d THM
% 0.09/0.37 % Computer : n027.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Mon Sep 7 13:21:17 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.44 % SZS status Unsatisfiable
% 0.09/0.44 % SZS output start Proof
% 0.09/0.44 tff(smaller_or_equal_type, type, (
% 0.09/0.44 smaller_or_equal: ( $i * $i ) > $o)).
% 0.09/0.44 tff(stock_of_knowledge_type, type, (
% 0.09/0.44 stock_of_knowledge: ( $i * $i ) > $i)).
% 0.09/0.44 tff(sk2_type, type, (
% 0.09/0.44 sk2: $i)).
% 0.09/0.44 tff(sk1_type, type, (
% 0.09/0.44 sk1: $i)).
% 0.09/0.44 tff(sk3_type, type, (
% 0.09/0.44 sk3: $i)).
% 0.09/0.44 tff(organization_type, type, (
% 0.09/0.44 organization: $i > $o)).
% 0.09/0.44 tff(greater_type, type, (
% 0.09/0.44 greater: ( $i * $i ) > $o)).
% 0.09/0.44 tff(internal_friction_type, type, (
% 0.09/0.44 internal_friction: ( $i * $i ) > $i)).
% 0.09/0.44 tff(age_type, type, (
% 0.09/0.44 age: ( $i * $i ) > $i)).
% 0.09/0.44 tff(smaller_type, type, (
% 0.09/0.44 smaller: ( $i * $i ) > $o)).
% 0.09/0.44 tff(capability_type, type, (
% 0.09/0.44 capability: ( $i * $i ) > $i)).
% 0.09/0.44 tff(has_immunity_type, type, (
% 0.09/0.44 has_immunity: ( $i * $i ) > $o)).
% 0.09/0.44 tff(has_endowment_type, type, (
% 0.09/0.44 has_endowment: $i > $o)).
% 0.09/0.44 tff(greater_or_equal_type, type, (
% 0.09/0.44 greater_or_equal: ( $i * $i ) > $o)).
% 0.09/0.44 tff(position_type, type, (
% 0.09/0.44 position: ( $i * $i ) > $i)).
% 0.09/0.44 tff(external_ties_type, type, (
% 0.09/0.44 external_ties: ( $i * $i ) > $i)).
% 0.09/0.44 tff(hazard_of_mortality_type, type, (
% 0.09/0.44 hazard_of_mortality: ( $i * $i ) > $i)).
% 0.09/0.44 tff(1,plain,
% 0.09/0.44 (organization(sk1) <=> organization(sk1)),
% 0.09/0.44 inference(rewrite,[status(thm)],[])).
% 0.09/0.44 tff(2,axiom,(organization(sk1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','theorem_3_53')).
% 0.09/0.44 tff(3,plain,
% 0.09/0.44 (organization(sk1)),
% 0.09/0.44 inference(modus_ponens,[status(thm)],[2, 1])).
% 0.09/0.44 tff(4,plain,
% 0.09/0.44 (^[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))))),
% 0.09/0.44 inference(bind,[status(th)],[])).
% 0.09/0.44 tff(5,plain,
% 0.09/0.44 (![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)))),
% 0.09/0.44 inference(quant_intro,[status(thm)],[4])).
% 0.09/0.44 tff(6,plain,
% 0.09/0.44 (![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)))),
% 0.09/0.44 inference(rewrite,[status(thm)],[])).
% 0.09/0.44 tff(7,axiom,(![B: $i, A: $i, C: $i] : ((~organization(A)) | (stock_of_knowledge(A, B) = stock_of_knowledge(A, C)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','assumption_10_50')).
% 0.09/0.44 tff(8,plain,
% 0.09/0.44 (![B: $i, A: $i, C: $i] : ((~organization(A)) | (stock_of_knowledge(A, B) = stock_of_knowledge(A, C)))),
% 0.09/0.44 inference(modus_ponens,[status(thm)],[7, 6])).
% 0.09/0.44 tff(9,plain,(
% 0.09/0.44 ![B: $i, A: $i, C: $i] : ((~organization(A)) | (stock_of_knowledge(A, B) = stock_of_knowledge(A, C)))),
% 0.09/0.44 inference(skolemize,[status(sab)],[8])).
% 0.09/0.44 tff(10,plain,
% 0.09/0.44 (![B: $i, A: $i, C: $i] : ((~organization(A)) | (stock_of_knowledge(A, B) = stock_of_knowledge(A, C)))),
% 0.09/0.44 inference(modus_ponens,[status(thm)],[9, 5])).
% 0.09/0.44 tff(11,plain,
% 0.09/0.44 (((~![B: $i, A: $i, C: $i] : ((~organization(A)) | (stock_of_knowledge(A, B) = stock_of_knowledge(A, C)))) | ((~organization(sk1)) | (stock_of_knowledge(sk1, sk3) = stock_of_knowledge(sk1, sk2)))) <=> ((~![B: $i, A: $i, C: $i] : ((~organization(A)) | (stock_of_knowledge(A, B) = stock_of_knowledge(A, C)))) | (~organization(sk1)) | (stock_of_knowledge(sk1, sk3) = stock_of_knowledge(sk1, sk2)))),
% 0.09/0.44 inference(rewrite,[status(thm)],[])).
% 0.09/0.44 tff(12,plain,
% 0.09/0.44 ((~![B: $i, A: $i, C: $i] : ((~organization(A)) | (stock_of_knowledge(A, B) = stock_of_knowledge(A, C)))) | ((~organization(sk1)) | (stock_of_knowledge(sk1, sk3) = stock_of_knowledge(sk1, sk2)))),
% 0.09/0.44 inference(quant_inst,[status(thm)],[])).
% 0.09/0.44 tff(13,plain,
% 0.09/0.44 ((~![B: $i, A: $i, C: $i] : ((~organization(A)) | (stock_of_knowledge(A, B) = stock_of_knowledge(A, C)))) | (~organization(sk1)) | (stock_of_knowledge(sk1, sk3) = stock_of_knowledge(sk1, sk2))),
% 0.09/0.44 inference(modus_ponens,[status(thm)],[12, 11])).
% 0.09/0.44 tff(14,plain,
% 0.09/0.44 (stock_of_knowledge(sk1, sk3) = stock_of_knowledge(sk1, sk2)),
% 0.09/0.44 inference(unit_resolution,[status(thm)],[13, 10, 3])).
% 0.09/0.44 tff(15,plain,
% 0.09/0.44 (smaller_or_equal(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2)) <=> smaller_or_equal(stock_of_knowledge(sk1, sk2), stock_of_knowledge(sk1, sk2))),
% 0.09/0.44 inference(monotonicity,[status(thm)],[14])).
% 0.09/0.44 tff(16,plain,
% 0.09/0.44 (smaller_or_equal(stock_of_knowledge(sk1, sk2), stock_of_knowledge(sk1, sk2)) <=> smaller_or_equal(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2))),
% 0.09/0.44 inference(symmetry,[status(thm)],[15])).
% 0.09/0.44 tff(17,assumption,(~smaller_or_equal(stock_of_knowledge(sk1, sk2), stock_of_knowledge(sk1, sk2))), introduced(assumption)).
% 0.09/0.44 tff(18,plain,
% 0.09/0.44 (^[B: $i] : refl(smaller_or_equal(B, B) <=> smaller_or_equal(B, B))),
% 0.09/0.44 inference(bind,[status(th)],[])).
% 0.09/0.44 tff(19,plain,
% 0.09/0.44 (![B: $i] : smaller_or_equal(B, B) <=> ![B: $i] : smaller_or_equal(B, B)),
% 0.09/0.44 inference(quant_intro,[status(thm)],[18])).
% 0.09/0.44 tff(20,plain,
% 0.09/0.44 (![B: $i] : smaller_or_equal(B, B) <=> ![B: $i] : smaller_or_equal(B, B)),
% 0.09/0.44 inference(rewrite,[status(thm)],[])).
% 0.09/0.44 tff(21,plain,
% 0.09/0.44 (![B: $i, A: $i] : smaller_or_equal(B, B) <=> ![B: $i] : smaller_or_equal(B, B)),
% 0.09/0.44 inference(elim_unused_vars,[status(thm)],[])).
% 0.09/0.44 tff(22,plain,
% 0.09/0.44 (![B: $i, A: $i] : ((~(A = B)) | smaller_or_equal(A, B)) <=> ![B: $i, A: $i] : smaller_or_equal(B, B)),
% 0.09/0.44 inference(destructive_equality_resolution,[status(thm)],[])).
% 0.09/0.44 tff(23,plain,
% 0.09/0.44 (![B: $i, A: $i] : ((~(A = B)) | smaller_or_equal(A, B)) <=> ![B: $i] : smaller_or_equal(B, B)),
% 0.09/0.44 inference(transitivity,[status(thm)],[22, 21])).
% 0.09/0.44 tff(24,axiom,(![B: $i, A: $i] : ((~(A = B)) | smaller_or_equal(A, B))), file('/export/starexec/sandbox/benchmark/Axioms/MGT001-0.ax','definition_smaller_or_equal_3')).
% 0.09/0.44 tff(25,plain,
% 0.09/0.44 (![B: $i] : smaller_or_equal(B, B)),
% 0.09/0.44 inference(modus_ponens,[status(thm)],[24, 23])).
% 0.09/0.44 tff(26,plain,
% 0.09/0.44 (![B: $i] : smaller_or_equal(B, B)),
% 0.09/0.44 inference(modus_ponens,[status(thm)],[25, 20])).
% 0.09/0.44 tff(27,plain,(
% 0.09/0.44 ![B: $i] : smaller_or_equal(B, B)),
% 0.09/0.44 inference(skolemize,[status(sab)],[26])).
% 0.09/0.44 tff(28,plain,
% 0.09/0.44 (![B: $i] : smaller_or_equal(B, B)),
% 0.09/0.44 inference(modus_ponens,[status(thm)],[27, 19])).
% 0.09/0.44 tff(29,plain,
% 0.09/0.44 ((~![B: $i] : smaller_or_equal(B, B)) | smaller_or_equal(stock_of_knowledge(sk1, sk2), stock_of_knowledge(sk1, sk2))),
% 0.09/0.44 inference(quant_inst,[status(thm)],[])).
% 0.09/0.44 tff(30,plain,
% 0.09/0.44 ($false),
% 0.09/0.44 inference(unit_resolution,[status(thm)],[29, 28, 17])).
% 0.09/0.44 tff(31,plain,(smaller_or_equal(stock_of_knowledge(sk1, sk2), stock_of_knowledge(sk1, sk2))), inference(lemma,lemma(discharge,[]))).
% 0.09/0.44 tff(32,plain,
% 0.09/0.44 (smaller_or_equal(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2))),
% 0.09/0.44 inference(modus_ponens,[status(thm)],[31, 16])).
% 0.09/0.44 tff(33,assumption,(smaller_or_equal(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2))), introduced(assumption)).
% 0.09/0.44 tff(34,plain,
% 0.09/0.44 (greater(age(sk1, sk3), age(sk1, sk2)) <=> greater(age(sk1, sk3), age(sk1, sk2))),
% 0.09/0.44 inference(rewrite,[status(thm)],[])).
% 0.09/0.44 tff(35,axiom,(greater(age(sk1, sk3), age(sk1, sk2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','theorem_3_55')).
% 0.09/0.44 tff(36,plain,
% 0.09/0.44 (greater(age(sk1, sk3), age(sk1, sk2))),
% 0.09/0.44 inference(modus_ponens,[status(thm)],[35, 34])).
% 0.09/0.44 tff(37,plain,
% 0.09/0.44 (^[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)))))),
% 0.09/0.44 inference(bind,[status(th)],[])).
% 0.09/0.44 tff(38,plain,
% 0.09/0.44 (![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))))),
% 0.09/0.44 inference(quant_intro,[status(thm)],[37])).
% 0.09/0.44 tff(39,plain,
% 0.09/0.44 (![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))))),
% 0.09/0.44 inference(rewrite,[status(thm)],[])).
% 0.09/0.45 tff(40,plain,
% 0.09/0.45 (^[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)))))),
% 0.09/0.45 inference(bind,[status(th)],[])).
% 0.09/0.45 tff(41,plain,
% 0.09/0.45 (![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))))),
% 0.09/0.45 inference(quant_intro,[status(thm)],[40])).
% 0.09/0.45 tff(42,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/sandbox/benchmark/theBenchmark.p','assumption_12_52')).
% 0.09/0.45 tff(43,plain,
% 0.09/0.45 (![B: $i, A: $i, C: $i] : ((~organization(A)) | greater(internal_friction(A, B), internal_friction(A, C)) | (~greater(age(A, B), age(A, C))))),
% 0.09/0.45 inference(modus_ponens,[status(thm)],[42, 41])).
% 0.09/0.45 tff(44,plain,
% 0.09/0.45 (![B: $i, A: $i, C: $i] : ((~organization(A)) | greater(internal_friction(A, B), internal_friction(A, C)) | (~greater(age(A, B), age(A, C))))),
% 0.09/0.45 inference(modus_ponens,[status(thm)],[43, 39])).
% 0.09/0.45 tff(45,plain,(
% 0.09/0.45 ![B: $i, A: $i, C: $i] : ((~organization(A)) | greater(internal_friction(A, B), internal_friction(A, C)) | (~greater(age(A, B), age(A, C))))),
% 0.09/0.45 inference(skolemize,[status(sab)],[44])).
% 0.09/0.45 tff(46,plain,
% 0.09/0.45 (![B: $i, A: $i, C: $i] : ((~organization(A)) | greater(internal_friction(A, B), internal_friction(A, C)) | (~greater(age(A, B), age(A, C))))),
% 0.09/0.45 inference(modus_ponens,[status(thm)],[45, 38])).
% 0.09/0.45 tff(47,plain,
% 0.09/0.45 (((~![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)))),
% 0.09/0.45 inference(rewrite,[status(thm)],[])).
% 0.09/0.45 tff(48,plain,
% 0.09/0.45 (((~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)))),
% 0.09/0.45 inference(rewrite,[status(thm)],[])).
% 0.09/0.45 tff(49,plain,
% 0.09/0.45 (((~![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))))),
% 0.09/0.45 inference(monotonicity,[status(thm)],[48])).
% 0.09/0.45 tff(50,plain,
% 0.09/0.45 (((~![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)))),
% 0.09/0.45 inference(transitivity,[status(thm)],[49, 47])).
% 0.09/0.45 tff(51,plain,
% 0.09/0.45 ((~![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))))),
% 0.09/0.45 inference(quant_inst,[status(thm)],[])).
% 0.09/0.45 tff(52,plain,
% 0.09/0.45 ((~![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))),
% 0.09/0.45 inference(modus_ponens,[status(thm)],[51, 50])).
% 0.09/0.45 tff(53,plain,
% 0.09/0.45 (greater(internal_friction(sk1, sk3), internal_friction(sk1, sk2))),
% 0.09/0.45 inference(unit_resolution,[status(thm)],[52, 46, 3, 36])).
% 0.09/0.45 tff(54,assumption,(has_immunity(sk1, sk2)), introduced(assumption)).
% 0.09/0.45 tff(55,plain,
% 0.09/0.45 ((~has_endowment(sk1)) <=> (~has_endowment(sk1))),
% 0.09/0.45 inference(rewrite,[status(thm)],[])).
% 0.09/0.45 tff(56,axiom,(~has_endowment(sk1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','theorem_3_54')).
% 0.09/0.45 tff(57,plain,
% 0.09/0.45 (~has_endowment(sk1)),
% 0.09/0.45 inference(modus_ponens,[status(thm)],[56, 55])).
% 0.09/0.45 tff(58,plain,
% 0.09/0.45 (^[B: $i, A: $i] : refl(((~has_immunity(A, B)) | has_endowment(A) | (~organization(A))) <=> ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A))))),
% 0.09/0.45 inference(bind,[status(th)],[])).
% 0.09/0.45 tff(59,plain,
% 0.09/0.45 (![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A))) <=> ![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))),
% 0.09/0.45 inference(quant_intro,[status(thm)],[58])).
% 0.09/0.45 tff(60,plain,
% 0.09/0.45 (![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A))) <=> ![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))),
% 0.09/0.45 inference(rewrite,[status(thm)],[])).
% 0.09/0.45 tff(61,plain,
% 0.09/0.45 (^[B: $i, A: $i] : trans(monotonicity(rewrite(((~organization(A)) | has_endowment(A)) <=> (has_endowment(A) | (~organization(A)))), ((((~organization(A)) | has_endowment(A)) | (~has_immunity(A, B))) <=> ((has_endowment(A) | (~organization(A))) | (~has_immunity(A, B))))), rewrite(((has_endowment(A) | (~organization(A))) | (~has_immunity(A, B))) <=> ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))), ((((~organization(A)) | has_endowment(A)) | (~has_immunity(A, B))) <=> ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))))),
% 0.09/0.45 inference(bind,[status(th)],[])).
% 0.09/0.45 tff(62,plain,
% 0.09/0.45 (![B: $i, A: $i] : (((~organization(A)) | has_endowment(A)) | (~has_immunity(A, B))) <=> ![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))),
% 0.09/0.45 inference(quant_intro,[status(thm)],[61])).
% 0.09/0.45 tff(63,axiom,(![B: $i, A: $i] : (((~organization(A)) | has_endowment(A)) | (~has_immunity(A, B)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','assumption_1_41')).
% 0.09/0.45 tff(64,plain,
% 0.09/0.45 (![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))),
% 0.09/0.45 inference(modus_ponens,[status(thm)],[63, 62])).
% 0.09/0.45 tff(65,plain,
% 0.09/0.45 (![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))),
% 0.09/0.45 inference(modus_ponens,[status(thm)],[64, 60])).
% 0.09/0.45 tff(66,plain,(
% 0.09/0.45 ![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))),
% 0.09/0.45 inference(skolemize,[status(sab)],[65])).
% 0.09/0.45 tff(67,plain,
% 0.09/0.45 (![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))),
% 0.09/0.45 inference(modus_ponens,[status(thm)],[66, 59])).
% 0.09/0.45 tff(68,plain,
% 0.09/0.45 (((~![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))) | (has_endowment(sk1) | (~organization(sk1)) | (~has_immunity(sk1, sk2)))) <=> ((~![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))) | has_endowment(sk1) | (~organization(sk1)) | (~has_immunity(sk1, sk2)))),
% 0.09/0.45 inference(rewrite,[status(thm)],[])).
% 0.09/0.45 tff(69,plain,
% 0.09/0.45 (((~has_immunity(sk1, sk2)) | has_endowment(sk1) | (~organization(sk1))) <=> (has_endowment(sk1) | (~organization(sk1)) | (~has_immunity(sk1, sk2)))),
% 0.09/0.45 inference(rewrite,[status(thm)],[])).
% 0.09/0.45 tff(70,plain,
% 0.09/0.45 (((~![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))) | ((~has_immunity(sk1, sk2)) | has_endowment(sk1) | (~organization(sk1)))) <=> ((~![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))) | (has_endowment(sk1) | (~organization(sk1)) | (~has_immunity(sk1, sk2))))),
% 0.09/0.45 inference(monotonicity,[status(thm)],[69])).
% 0.09/0.45 tff(71,plain,
% 0.09/0.45 (((~![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))) | ((~has_immunity(sk1, sk2)) | has_endowment(sk1) | (~organization(sk1)))) <=> ((~![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))) | has_endowment(sk1) | (~organization(sk1)) | (~has_immunity(sk1, sk2)))),
% 0.09/0.45 inference(transitivity,[status(thm)],[70, 68])).
% 0.09/0.45 tff(72,plain,
% 0.09/0.45 ((~![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))) | ((~has_immunity(sk1, sk2)) | has_endowment(sk1) | (~organization(sk1)))),
% 0.09/0.45 inference(quant_inst,[status(thm)],[])).
% 0.09/0.45 tff(73,plain,
% 0.09/0.45 ((~![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))) | has_endowment(sk1) | (~organization(sk1)) | (~has_immunity(sk1, sk2))),
% 0.09/0.45 inference(modus_ponens,[status(thm)],[72, 71])).
% 0.09/0.45 tff(74,plain,
% 0.09/0.45 ($false),
% 0.09/0.45 inference(unit_resolution,[status(thm)],[73, 67, 3, 57, 54])).
% 0.09/0.45 tff(75,plain,(~has_immunity(sk1, sk2)), inference(lemma,lemma(discharge,[]))).
% 0.09/0.45 tff(76,plain,
% 0.09/0.45 (^[B: $i, A: $i, C: $i] : refl(((~organization(A)) | (external_ties(A, B) = external_ties(A, C))) <=> ((~organization(A)) | (external_ties(A, B) = external_ties(A, C))))),
% 0.09/0.45 inference(bind,[status(th)],[])).
% 0.09/0.45 tff(77,plain,
% 0.09/0.45 (![B: $i, A: $i, C: $i] : ((~organization(A)) | (external_ties(A, B) = external_ties(A, C))) <=> ![B: $i, A: $i, C: $i] : ((~organization(A)) | (external_ties(A, B) = external_ties(A, C)))),
% 0.09/0.45 inference(quant_intro,[status(thm)],[76])).
% 0.09/0.45 tff(78,plain,
% 0.09/0.45 (![B: $i, A: $i, C: $i] : ((~organization(A)) | (external_ties(A, B) = external_ties(A, C))) <=> ![B: $i, A: $i, C: $i] : ((~organization(A)) | (external_ties(A, B) = external_ties(A, C)))),
% 0.09/0.45 inference(rewrite,[status(thm)],[])).
% 0.09/0.45 tff(79,axiom,(![B: $i, A: $i, C: $i] : ((~organization(A)) | (external_ties(A, B) = external_ties(A, C)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','assumption_11_51')).
% 0.09/0.45 tff(80,plain,
% 0.09/0.45 (![B: $i, A: $i, C: $i] : ((~organization(A)) | (external_ties(A, B) = external_ties(A, C)))),
% 0.09/0.45 inference(modus_ponens,[status(thm)],[79, 78])).
% 0.09/0.45 tff(81,plain,(
% 0.09/0.45 ![B: $i, A: $i, C: $i] : ((~organization(A)) | (external_ties(A, B) = external_ties(A, C)))),
% 0.09/0.45 inference(skolemize,[status(sab)],[80])).
% 0.09/0.45 tff(82,plain,
% 0.09/0.45 (![B: $i, A: $i, C: $i] : ((~organization(A)) | (external_ties(A, B) = external_ties(A, C)))),
% 0.09/0.45 inference(modus_ponens,[status(thm)],[81, 77])).
% 0.09/0.45 tff(83,plain,
% 0.09/0.45 (((~![B: $i, A: $i, C: $i] : ((~organization(A)) | (external_ties(A, B) = external_ties(A, C)))) | ((~organization(sk1)) | (external_ties(sk1, sk3) = external_ties(sk1, sk2)))) <=> ((~![B: $i, A: $i, C: $i] : ((~organization(A)) | (external_ties(A, B) = external_ties(A, C)))) | (~organization(sk1)) | (external_ties(sk1, sk3) = external_ties(sk1, sk2)))),
% 0.09/0.45 inference(rewrite,[status(thm)],[])).
% 0.09/0.45 tff(84,plain,
% 0.09/0.45 ((~![B: $i, A: $i, C: $i] : ((~organization(A)) | (external_ties(A, B) = external_ties(A, C)))) | ((~organization(sk1)) | (external_ties(sk1, sk3) = external_ties(sk1, sk2)))),
% 0.09/0.45 inference(quant_inst,[status(thm)],[])).
% 0.09/0.45 tff(85,plain,
% 0.09/0.45 ((~![B: $i, A: $i, C: $i] : ((~organization(A)) | (external_ties(A, B) = external_ties(A, C)))) | (~organization(sk1)) | (external_ties(sk1, sk3) = external_ties(sk1, sk2))),
% 0.09/0.45 inference(modus_ponens,[status(thm)],[84, 83])).
% 0.09/0.45 tff(86,plain,
% 0.09/0.45 (external_ties(sk1, sk3) = external_ties(sk1, sk2)),
% 0.09/0.45 inference(unit_resolution,[status(thm)],[85, 82, 3])).
% 0.09/0.45 tff(87,plain,
% 0.09/0.45 (^[B: $i, A: $i, C: $i] : refl(((~organization(A)) | (position(A, B) = position(A, C)) | (~(external_ties(A, B) = external_ties(A, C)))) <=> ((~organization(A)) | (position(A, B) = position(A, C)) | (~(external_ties(A, B) = external_ties(A, C)))))),
% 0.09/0.45 inference(bind,[status(th)],[])).
% 0.09/0.45 tff(88,plain,
% 0.09/0.45 (![B: $i, A: $i, C: $i] : ((~organization(A)) | (position(A, B) = position(A, C)) | (~(external_ties(A, B) = external_ties(A, C)))) <=> ![B: $i, A: $i, C: $i] : ((~organization(A)) | (position(A, B) = position(A, C)) | (~(external_ties(A, B) = external_ties(A, C))))),
% 0.09/0.45 inference(quant_intro,[status(thm)],[87])).
% 0.09/0.45 tff(89,plain,
% 0.09/0.45 (![B: $i, A: $i, C: $i] : ((~organization(A)) | (position(A, B) = position(A, C)) | (~(external_ties(A, B) = external_ties(A, C)))) <=> ![B: $i, A: $i, C: $i] : ((~organization(A)) | (position(A, B) = position(A, C)) | (~(external_ties(A, B) = external_ties(A, C))))),
% 0.09/0.45 inference(rewrite,[status(thm)],[])).
% 0.09/0.45 tff(90,plain,
% 0.09/0.45 (^[B: $i, A: $i, C: $i] : rewrite((((~organization(A)) | (~(external_ties(A, B) = external_ties(A, C)))) | (position(A, B) = position(A, C))) <=> ((~organization(A)) | (position(A, B) = position(A, C)) | (~(external_ties(A, B) = external_ties(A, C)))))),
% 0.09/0.45 inference(bind,[status(th)],[])).
% 0.09/0.45 tff(91,plain,
% 0.09/0.45 (![B: $i, A: $i, C: $i] : (((~organization(A)) | (~(external_ties(A, B) = external_ties(A, C)))) | (position(A, B) = position(A, C))) <=> ![B: $i, A: $i, C: $i] : ((~organization(A)) | (position(A, B) = position(A, C)) | (~(external_ties(A, B) = external_ties(A, C))))),
% 0.09/0.45 inference(quant_intro,[status(thm)],[90])).
% 0.09/0.45 tff(92,axiom,(![B: $i, A: $i, C: $i] : (((~organization(A)) | (~(external_ties(A, B) = external_ties(A, C)))) | (position(A, B) = position(A, C)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','assumption_6_49')).
% 0.09/0.45 tff(93,plain,
% 0.09/0.45 (![B: $i, A: $i, C: $i] : ((~organization(A)) | (position(A, B) = position(A, C)) | (~(external_ties(A, B) = external_ties(A, C))))),
% 0.09/0.45 inference(modus_ponens,[status(thm)],[92, 91])).
% 0.09/0.45 tff(94,plain,
% 0.09/0.45 (![B: $i, A: $i, C: $i] : ((~organization(A)) | (position(A, B) = position(A, C)) | (~(external_ties(A, B) = external_ties(A, C))))),
% 0.09/0.45 inference(modus_ponens,[status(thm)],[93, 89])).
% 0.09/0.45 tff(95,plain,(
% 0.09/0.45 ![B: $i, A: $i, C: $i] : ((~organization(A)) | (position(A, B) = position(A, C)) | (~(external_ties(A, B) = external_ties(A, C))))),
% 0.09/0.45 inference(skolemize,[status(sab)],[94])).
% 0.09/0.45 tff(96,plain,
% 0.09/0.45 (![B: $i, A: $i, C: $i] : ((~organization(A)) | (position(A, B) = position(A, C)) | (~(external_ties(A, B) = external_ties(A, C))))),
% 0.09/0.45 inference(modus_ponens,[status(thm)],[95, 88])).
% 0.09/0.45 tff(97,plain,
% 0.09/0.45 (((~![B: $i, A: $i, C: $i] : ((~organization(A)) | (position(A, B) = position(A, C)) | (~(external_ties(A, B) = external_ties(A, C))))) | ((~organization(sk1)) | (position(sk1, sk3) = position(sk1, sk2)) | (~(external_ties(sk1, sk3) = external_ties(sk1, sk2))))) <=> ((~![B: $i, A: $i, C: $i] : ((~organization(A)) | (position(A, B) = position(A, C)) | (~(external_ties(A, B) = external_ties(A, C))))) | (~organization(sk1)) | (position(sk1, sk3) = position(sk1, sk2)) | (~(external_ties(sk1, sk3) = external_ties(sk1, sk2))))),
% 0.09/0.45 inference(rewrite,[status(thm)],[])).
% 0.09/0.45 tff(98,plain,
% 0.09/0.45 ((~![B: $i, A: $i, C: $i] : ((~organization(A)) | (position(A, B) = position(A, C)) | (~(external_ties(A, B) = external_ties(A, C))))) | ((~organization(sk1)) | (position(sk1, sk3) = position(sk1, sk2)) | (~(external_ties(sk1, sk3) = external_ties(sk1, sk2))))),
% 0.09/0.45 inference(quant_inst,[status(thm)],[])).
% 0.09/0.45 tff(99,plain,
% 0.09/0.45 ((~![B: $i, A: $i, C: $i] : ((~organization(A)) | (position(A, B) = position(A, C)) | (~(external_ties(A, B) = external_ties(A, C))))) | (~organization(sk1)) | (position(sk1, sk3) = position(sk1, sk2)) | (~(external_ties(sk1, sk3) = external_ties(sk1, sk2)))),
% 0.09/0.45 inference(modus_ponens,[status(thm)],[98, 97])).
% 0.09/0.45 tff(100,plain,
% 0.09/0.45 ((position(sk1, sk3) = position(sk1, sk2)) | (~(external_ties(sk1, sk3) = external_ties(sk1, sk2)))),
% 0.09/0.45 inference(unit_resolution,[status(thm)],[99, 96, 3])).
% 0.09/0.45 tff(101,plain,
% 0.09/0.45 (position(sk1, sk3) = position(sk1, sk2)),
% 0.09/0.45 inference(unit_resolution,[status(thm)],[100, 86])).
% 0.09/0.45 tff(102,plain,
% 0.09/0.45 (greater_or_equal(position(sk1, sk2), position(sk1, sk3)) <=> greater_or_equal(position(sk1, sk2), position(sk1, sk2))),
% 0.09/0.45 inference(monotonicity,[status(thm)],[101])).
% 0.09/0.45 tff(103,plain,
% 0.09/0.45 (greater_or_equal(position(sk1, sk2), position(sk1, sk2)) <=> greater_or_equal(position(sk1, sk2), position(sk1, sk3))),
% 0.09/0.45 inference(symmetry,[status(thm)],[102])).
% 0.09/0.45 tff(104,plain,
% 0.09/0.45 (greater_or_equal(position(sk1, sk3), position(sk1, sk3)) <=> greater_or_equal(position(sk1, sk2), position(sk1, sk2))),
% 0.09/0.45 inference(monotonicity,[status(thm)],[101, 101])).
% 0.09/0.45 tff(105,assumption,(~greater_or_equal(position(sk1, sk3), position(sk1, sk3))), introduced(assumption)).
% 0.09/0.45 tff(106,plain,
% 0.09/0.45 (^[B: $i] : refl(greater_or_equal(B, B) <=> greater_or_equal(B, B))),
% 0.09/0.45 inference(bind,[status(th)],[])).
% 0.09/0.45 tff(107,plain,
% 0.09/0.45 (![B: $i] : greater_or_equal(B, B) <=> ![B: $i] : greater_or_equal(B, B)),
% 0.09/0.45 inference(quant_intro,[status(thm)],[106])).
% 0.09/0.45 tff(108,plain,
% 0.09/0.45 (![B: $i] : greater_or_equal(B, B) <=> ![B: $i] : greater_or_equal(B, B)),
% 0.09/0.45 inference(rewrite,[status(thm)],[])).
% 0.09/0.45 tff(109,plain,
% 0.09/0.45 (![B: $i, A: $i] : greater_or_equal(B, B) <=> ![B: $i] : greater_or_equal(B, B)),
% 0.09/0.45 inference(elim_unused_vars,[status(thm)],[])).
% 0.09/0.45 tff(110,plain,
% 0.09/0.45 (![B: $i, A: $i] : ((~(A = B)) | greater_or_equal(A, B)) <=> ![B: $i, A: $i] : greater_or_equal(B, B)),
% 0.09/0.45 inference(destructive_equality_resolution,[status(thm)],[])).
% 0.09/0.45 tff(111,plain,
% 0.09/0.45 (![B: $i, A: $i] : ((~(A = B)) | greater_or_equal(A, B)) <=> ![B: $i] : greater_or_equal(B, B)),
% 0.09/0.45 inference(transitivity,[status(thm)],[110, 109])).
% 0.09/0.45 tff(112,axiom,(![B: $i, A: $i] : ((~(A = B)) | greater_or_equal(A, B))), file('/export/starexec/sandbox/benchmark/Axioms/MGT001-0.ax','definition_greater_or_equal_6')).
% 0.09/0.45 tff(113,plain,
% 0.09/0.45 (![B: $i] : greater_or_equal(B, B)),
% 0.09/0.45 inference(modus_ponens,[status(thm)],[112, 111])).
% 0.09/0.45 tff(114,plain,
% 0.09/0.45 (![B: $i] : greater_or_equal(B, B)),
% 0.09/0.45 inference(modus_ponens,[status(thm)],[113, 108])).
% 0.09/0.45 tff(115,plain,(
% 0.09/0.45 ![B: $i] : greater_or_equal(B, B)),
% 0.09/0.45 inference(skolemize,[status(sab)],[114])).
% 0.09/0.45 tff(116,plain,
% 0.09/0.45 (![B: $i] : greater_or_equal(B, B)),
% 0.09/0.45 inference(modus_ponens,[status(thm)],[115, 107])).
% 0.09/0.45 tff(117,plain,
% 0.09/0.45 ((~![B: $i] : greater_or_equal(B, B)) | greater_or_equal(position(sk1, sk3), position(sk1, sk3))),
% 0.09/0.45 inference(quant_inst,[status(thm)],[])).
% 0.09/0.45 tff(118,plain,
% 0.09/0.45 ($false),
% 0.09/0.45 inference(unit_resolution,[status(thm)],[117, 116, 105])).
% 0.09/0.45 tff(119,plain,(greater_or_equal(position(sk1, sk3), position(sk1, sk3))), inference(lemma,lemma(discharge,[]))).
% 0.09/0.45 tff(120,plain,
% 0.09/0.45 (greater_or_equal(position(sk1, sk2), position(sk1, sk2))),
% 0.09/0.45 inference(modus_ponens,[status(thm)],[119, 104])).
% 0.09/0.45 tff(121,plain,
% 0.09/0.45 (greater_or_equal(position(sk1, sk2), position(sk1, sk3))),
% 0.09/0.45 inference(modus_ponens,[status(thm)],[120, 103])).
% 0.09/0.45 tff(122,assumption,(~greater_or_equal(position(sk1, sk2), position(sk1, sk3))), introduced(assumption)).
% 0.09/0.45 tff(123,plain,
% 0.09/0.45 ($false),
% 0.09/0.45 inference(unit_resolution,[status(thm)],[122, 121])).
% 0.09/0.45 tff(124,plain,(greater_or_equal(position(sk1, sk2), position(sk1, sk3))), inference(lemma,lemma(discharge,[]))).
% 0.09/0.45 tff(125,assumption,(has_immunity(sk1, sk3)), introduced(assumption)).
% 0.09/0.45 tff(126,plain,
% 0.09/0.45 (((~![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))) | (has_endowment(sk1) | (~organization(sk1)) | (~has_immunity(sk1, sk3)))) <=> ((~![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))) | has_endowment(sk1) | (~organization(sk1)) | (~has_immunity(sk1, sk3)))),
% 0.09/0.45 inference(rewrite,[status(thm)],[])).
% 0.09/0.45 tff(127,plain,
% 0.09/0.45 (((~has_immunity(sk1, sk3)) | has_endowment(sk1) | (~organization(sk1))) <=> (has_endowment(sk1) | (~organization(sk1)) | (~has_immunity(sk1, sk3)))),
% 0.09/0.45 inference(rewrite,[status(thm)],[])).
% 0.09/0.45 tff(128,plain,
% 0.09/0.45 (((~![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))) | ((~has_immunity(sk1, sk3)) | has_endowment(sk1) | (~organization(sk1)))) <=> ((~![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))) | (has_endowment(sk1) | (~organization(sk1)) | (~has_immunity(sk1, sk3))))),
% 0.09/0.45 inference(monotonicity,[status(thm)],[127])).
% 0.09/0.45 tff(129,plain,
% 0.09/0.45 (((~![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))) | ((~has_immunity(sk1, sk3)) | has_endowment(sk1) | (~organization(sk1)))) <=> ((~![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))) | has_endowment(sk1) | (~organization(sk1)) | (~has_immunity(sk1, sk3)))),
% 0.09/0.46 inference(transitivity,[status(thm)],[128, 126])).
% 0.09/0.46 tff(130,plain,
% 0.09/0.46 ((~![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))) | ((~has_immunity(sk1, sk3)) | has_endowment(sk1) | (~organization(sk1)))),
% 0.09/0.46 inference(quant_inst,[status(thm)],[])).
% 0.09/0.46 tff(131,plain,
% 0.09/0.46 ((~![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))) | has_endowment(sk1) | (~organization(sk1)) | (~has_immunity(sk1, sk3))),
% 0.09/0.46 inference(modus_ponens,[status(thm)],[130, 129])).
% 0.09/0.46 tff(132,plain,
% 0.09/0.46 ($false),
% 0.09/0.46 inference(unit_resolution,[status(thm)],[131, 67, 3, 57, 125])).
% 0.09/0.46 tff(133,plain,(~has_immunity(sk1, sk3)), inference(lemma,lemma(discharge,[]))).
% 0.09/0.46 tff(134,plain,
% 0.09/0.46 ((~greater(hazard_of_mortality(sk1, sk3), hazard_of_mortality(sk1, sk2))) <=> (~greater(hazard_of_mortality(sk1, sk3), hazard_of_mortality(sk1, sk2)))),
% 0.09/0.46 inference(rewrite,[status(thm)],[])).
% 0.09/0.46 tff(135,axiom,(~greater(hazard_of_mortality(sk1, sk3), hazard_of_mortality(sk1, sk2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','theorem_3_56')).
% 0.09/0.46 tff(136,plain,
% 0.09/0.46 (~greater(hazard_of_mortality(sk1, sk3), hazard_of_mortality(sk1, sk2))),
% 0.09/0.46 inference(modus_ponens,[status(thm)],[135, 134])).
% 0.09/0.46 tff(137,plain,
% 0.09/0.46 (^[B: $i, A: $i] : refl(((~smaller(A, B)) | greater(B, A)) <=> ((~smaller(A, B)) | greater(B, A)))),
% 0.09/0.46 inference(bind,[status(th)],[])).
% 0.09/0.46 tff(138,plain,
% 0.09/0.46 (![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A)) <=> ![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))),
% 0.09/0.46 inference(quant_intro,[status(thm)],[137])).
% 0.09/0.46 tff(139,plain,
% 0.09/0.46 (![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A)) <=> ![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))),
% 0.09/0.46 inference(rewrite,[status(thm)],[])).
% 0.09/0.46 tff(140,axiom,(![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))), file('/export/starexec/sandbox/benchmark/Axioms/MGT001-0.ax','definition_smaller_7')).
% 0.09/0.46 tff(141,plain,
% 0.09/0.46 (![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))),
% 0.09/0.46 inference(modus_ponens,[status(thm)],[140, 139])).
% 0.09/0.46 tff(142,plain,(
% 0.09/0.46 ![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))),
% 0.09/0.46 inference(skolemize,[status(sab)],[141])).
% 0.09/0.46 tff(143,plain,
% 0.09/0.46 (![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))),
% 0.09/0.46 inference(modus_ponens,[status(thm)],[142, 138])).
% 0.09/0.46 tff(144,plain,
% 0.09/0.46 (((~![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))) | ((~smaller(hazard_of_mortality(sk1, sk2), hazard_of_mortality(sk1, sk3))) | greater(hazard_of_mortality(sk1, sk3), hazard_of_mortality(sk1, sk2)))) <=> ((~![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))) | (~smaller(hazard_of_mortality(sk1, sk2), hazard_of_mortality(sk1, sk3))) | greater(hazard_of_mortality(sk1, sk3), hazard_of_mortality(sk1, sk2)))),
% 0.09/0.46 inference(rewrite,[status(thm)],[])).
% 0.09/0.46 tff(145,plain,
% 0.09/0.46 ((~![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))) | ((~smaller(hazard_of_mortality(sk1, sk2), hazard_of_mortality(sk1, sk3))) | greater(hazard_of_mortality(sk1, sk3), hazard_of_mortality(sk1, sk2)))),
% 0.09/0.46 inference(quant_inst,[status(thm)],[])).
% 0.09/0.46 tff(146,plain,
% 0.09/0.46 ((~![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))) | (~smaller(hazard_of_mortality(sk1, sk2), hazard_of_mortality(sk1, sk3))) | greater(hazard_of_mortality(sk1, sk3), hazard_of_mortality(sk1, sk2))),
% 0.09/0.46 inference(modus_ponens,[status(thm)],[145, 144])).
% 0.09/0.46 tff(147,plain,
% 0.09/0.46 (~smaller(hazard_of_mortality(sk1, sk2), hazard_of_mortality(sk1, sk3))),
% 0.09/0.46 inference(unit_resolution,[status(thm)],[146, 143, 136])).
% 0.09/0.46 tff(148,plain,
% 0.09/0.46 (^[B: $i, A: $i, C: $i] : refl((smaller(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | (~greater_or_equal(position(A, C), position(A, B))) | (~greater(capability(A, C), capability(A, B))) | has_immunity(A, C) | has_immunity(A, B) | (~organization(A))) <=> (smaller(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | (~greater_or_equal(position(A, C), position(A, B))) | (~greater(capability(A, C), capability(A, B))) | has_immunity(A, C) | has_immunity(A, B) | (~organization(A))))),
% 0.09/0.46 inference(bind,[status(th)],[])).
% 0.09/0.46 tff(149,plain,
% 0.09/0.46 (![B: $i, A: $i, C: $i] : (smaller(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | (~greater_or_equal(position(A, C), position(A, B))) | (~greater(capability(A, C), capability(A, B))) | has_immunity(A, C) | has_immunity(A, B) | (~organization(A))) <=> ![B: $i, A: $i, C: $i] : (smaller(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | (~greater_or_equal(position(A, C), position(A, B))) | (~greater(capability(A, C), capability(A, B))) | has_immunity(A, C) | has_immunity(A, B) | (~organization(A)))),
% 0.09/0.46 inference(quant_intro,[status(thm)],[148])).
% 0.09/0.46 tff(150,plain,
% 0.09/0.46 (![B: $i, A: $i, C: $i] : (smaller(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | (~greater_or_equal(position(A, C), position(A, B))) | (~greater(capability(A, C), capability(A, B))) | has_immunity(A, C) | has_immunity(A, B) | (~organization(A))) <=> ![B: $i, A: $i, C: $i] : (smaller(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | (~greater_or_equal(position(A, C), position(A, B))) | (~greater(capability(A, C), capability(A, B))) | has_immunity(A, C) | has_immunity(A, B) | (~organization(A)))),
% 0.09/0.46 inference(rewrite,[status(thm)],[])).
% 0.09/0.46 tff(151,plain,
% 0.09/0.46 (^[B: $i, A: $i, C: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~organization(A)) | has_immunity(A, B)) | has_immunity(A, C)) <=> (has_immunity(A, C) | has_immunity(A, B) | (~organization(A)))), (((((~organization(A)) | has_immunity(A, B)) | has_immunity(A, C)) | (~greater(capability(A, C), capability(A, B)))) <=> ((has_immunity(A, C) | has_immunity(A, B) | (~organization(A))) | (~greater(capability(A, C), capability(A, B)))))), rewrite(((has_immunity(A, C) | has_immunity(A, B) | (~organization(A))) | (~greater(capability(A, C), capability(A, B)))) <=> ((~greater(capability(A, C), capability(A, B))) | has_immunity(A, C) | has_immunity(A, B) | (~organization(A)))), (((((~organization(A)) | has_immunity(A, B)) | has_immunity(A, C)) | (~greater(capability(A, C), capability(A, B)))) <=> ((~greater(capability(A, C), capability(A, B))) | has_immunity(A, C) | has_immunity(A, B) | (~organization(A))))), ((((((~organization(A)) | has_immunity(A, B)) | has_immunity(A, C)) | (~greater(capability(A, C), capability(A, B)))) | (~greater_or_equal(position(A, C), position(A, B)))) <=> (((~greater(capability(A, C), capability(A, B))) | has_immunity(A, C) | has_immunity(A, B) | (~organization(A))) | (~greater_or_equal(position(A, C), position(A, B)))))), rewrite((((~greater(capability(A, C), capability(A, B))) | has_immunity(A, C) | has_immunity(A, B) | (~organization(A))) | (~greater_or_equal(position(A, C), position(A, B)))) <=> ((~greater_or_equal(position(A, C), position(A, B))) | (~greater(capability(A, C), capability(A, B))) | has_immunity(A, C) | has_immunity(A, B) | (~organization(A)))), ((((((~organization(A)) | has_immunity(A, B)) | has_immunity(A, C)) | (~greater(capability(A, C), capability(A, B)))) | (~greater_or_equal(position(A, C), position(A, B)))) <=> ((~greater_or_equal(position(A, C), position(A, B))) | (~greater(capability(A, C), capability(A, B))) | has_immunity(A, C) | has_immunity(A, B) | (~organization(A))))), (((((((~organization(A)) | has_immunity(A, B)) | has_immunity(A, C)) | (~greater(capability(A, C), capability(A, B)))) | (~greater_or_equal(position(A, C), position(A, B)))) | smaller(hazard_of_mortality(A, C), hazard_of_mortality(A, B))) <=> (((~greater_or_equal(position(A, C), position(A, B))) | (~greater(capability(A, C), capability(A, B))) | has_immunity(A, C) | has_immunity(A, B) | (~organization(A))) | smaller(hazard_of_mortality(A, C), hazard_of_mortality(A, B))))), rewrite((((~greater_or_equal(position(A, C), position(A, B))) | (~greater(capability(A, C), capability(A, B))) | has_immunity(A, C) | has_immunity(A, B) | (~organization(A))) | smaller(hazard_of_mortality(A, C), hazard_of_mortality(A, B))) <=> (smaller(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | (~greater_or_equal(position(A, C), position(A, B))) | (~greater(capability(A, C), capability(A, B))) | has_immunity(A, C) | has_immunity(A, B) | (~organization(A)))), (((((((~organization(A)) | has_immunity(A, B)) | has_immunity(A, C)) | (~greater(capability(A, C), capability(A, B)))) | (~greater_or_equal(position(A, C), position(A, B)))) | smaller(hazard_of_mortality(A, C), hazard_of_mortality(A, B))) <=> (smaller(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | (~greater_or_equal(position(A, C), position(A, B))) | (~greater(capability(A, C), capability(A, B))) | has_immunity(A, C) | has_immunity(A, B) | (~organization(A)))))),
% 0.09/0.46 inference(bind,[status(th)],[])).
% 0.09/0.46 tff(152,plain,
% 0.09/0.46 (![B: $i, A: $i, C: $i] : ((((((~organization(A)) | has_immunity(A, B)) | has_immunity(A, C)) | (~greater(capability(A, C), capability(A, B)))) | (~greater_or_equal(position(A, C), position(A, B)))) | smaller(hazard_of_mortality(A, C), hazard_of_mortality(A, B))) <=> ![B: $i, A: $i, C: $i] : (smaller(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | (~greater_or_equal(position(A, C), position(A, B))) | (~greater(capability(A, C), capability(A, B))) | has_immunity(A, C) | has_immunity(A, B) | (~organization(A)))),
% 0.09/0.46 inference(quant_intro,[status(thm)],[151])).
% 0.09/0.46 tff(153,axiom,(![B: $i, A: $i, C: $i] : ((((((~organization(A)) | has_immunity(A, B)) | has_immunity(A, C)) | (~greater(capability(A, C), capability(A, B)))) | (~greater_or_equal(position(A, C), position(A, B)))) | smaller(hazard_of_mortality(A, C), hazard_of_mortality(A, B)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','assumption_4_42')).
% 0.09/0.46 tff(154,plain,
% 0.09/0.46 (![B: $i, A: $i, C: $i] : (smaller(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | (~greater_or_equal(position(A, C), position(A, B))) | (~greater(capability(A, C), capability(A, B))) | has_immunity(A, C) | has_immunity(A, B) | (~organization(A)))),
% 0.09/0.46 inference(modus_ponens,[status(thm)],[153, 152])).
% 0.09/0.46 tff(155,plain,
% 0.09/0.46 (![B: $i, A: $i, C: $i] : (smaller(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | (~greater_or_equal(position(A, C), position(A, B))) | (~greater(capability(A, C), capability(A, B))) | has_immunity(A, C) | has_immunity(A, B) | (~organization(A)))),
% 0.09/0.46 inference(modus_ponens,[status(thm)],[154, 150])).
% 0.09/0.46 tff(156,plain,(
% 0.09/0.46 ![B: $i, A: $i, C: $i] : (smaller(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | (~greater_or_equal(position(A, C), position(A, B))) | (~greater(capability(A, C), capability(A, B))) | has_immunity(A, C) | has_immunity(A, B) | (~organization(A)))),
% 0.09/0.46 inference(skolemize,[status(sab)],[155])).
% 0.09/0.46 tff(157,plain,
% 0.09/0.46 (![B: $i, A: $i, C: $i] : (smaller(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | (~greater_or_equal(position(A, C), position(A, B))) | (~greater(capability(A, C), capability(A, B))) | has_immunity(A, C) | has_immunity(A, B) | (~organization(A)))),
% 0.09/0.46 inference(modus_ponens,[status(thm)],[156, 149])).
% 0.09/0.46 tff(158,plain,
% 0.09/0.46 (((~![B: $i, A: $i, C: $i] : (smaller(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | (~greater_or_equal(position(A, C), position(A, B))) | (~greater(capability(A, C), capability(A, B))) | has_immunity(A, C) | has_immunity(A, B) | (~organization(A)))) | (smaller(hazard_of_mortality(sk1, sk2), hazard_of_mortality(sk1, sk3)) | has_immunity(sk1, sk3) | (~organization(sk1)) | has_immunity(sk1, sk2) | (~greater_or_equal(position(sk1, sk2), position(sk1, sk3))) | (~greater(capability(sk1, sk2), capability(sk1, sk3))))) <=> ((~![B: $i, A: $i, C: $i] : (smaller(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | (~greater_or_equal(position(A, C), position(A, B))) | (~greater(capability(A, C), capability(A, B))) | has_immunity(A, C) | has_immunity(A, B) | (~organization(A)))) | smaller(hazard_of_mortality(sk1, sk2), hazard_of_mortality(sk1, sk3)) | has_immunity(sk1, sk3) | (~organization(sk1)) | has_immunity(sk1, sk2) | (~greater_or_equal(position(sk1, sk2), position(sk1, sk3))) | (~greater(capability(sk1, sk2), capability(sk1, sk3))))),
% 0.09/0.46 inference(rewrite,[status(thm)],[])).
% 0.09/0.46 tff(159,plain,
% 0.09/0.46 ((smaller(hazard_of_mortality(sk1, sk2), hazard_of_mortality(sk1, sk3)) | (~greater_or_equal(position(sk1, sk2), position(sk1, sk3))) | (~greater(capability(sk1, sk2), capability(sk1, sk3))) | has_immunity(sk1, sk2) | has_immunity(sk1, sk3) | (~organization(sk1))) <=> (smaller(hazard_of_mortality(sk1, sk2), hazard_of_mortality(sk1, sk3)) | has_immunity(sk1, sk3) | (~organization(sk1)) | has_immunity(sk1, sk2) | (~greater_or_equal(position(sk1, sk2), position(sk1, sk3))) | (~greater(capability(sk1, sk2), capability(sk1, sk3))))),
% 0.09/0.46 inference(rewrite,[status(thm)],[])).
% 0.09/0.46 tff(160,plain,
% 0.09/0.46 (((~![B: $i, A: $i, C: $i] : (smaller(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | (~greater_or_equal(position(A, C), position(A, B))) | (~greater(capability(A, C), capability(A, B))) | has_immunity(A, C) | has_immunity(A, B) | (~organization(A)))) | (smaller(hazard_of_mortality(sk1, sk2), hazard_of_mortality(sk1, sk3)) | (~greater_or_equal(position(sk1, sk2), position(sk1, sk3))) | (~greater(capability(sk1, sk2), capability(sk1, sk3))) | has_immunity(sk1, sk2) | has_immunity(sk1, sk3) | (~organization(sk1)))) <=> ((~![B: $i, A: $i, C: $i] : (smaller(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | (~greater_or_equal(position(A, C), position(A, B))) | (~greater(capability(A, C), capability(A, B))) | has_immunity(A, C) | has_immunity(A, B) | (~organization(A)))) | (smaller(hazard_of_mortality(sk1, sk2), hazard_of_mortality(sk1, sk3)) | has_immunity(sk1, sk3) | (~organization(sk1)) | has_immunity(sk1, sk2) | (~greater_or_equal(position(sk1, sk2), position(sk1, sk3))) | (~greater(capability(sk1, sk2), capability(sk1, sk3)))))),
% 0.09/0.46 inference(monotonicity,[status(thm)],[159])).
% 0.09/0.46 tff(161,plain,
% 0.09/0.46 (((~![B: $i, A: $i, C: $i] : (smaller(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | (~greater_or_equal(position(A, C), position(A, B))) | (~greater(capability(A, C), capability(A, B))) | has_immunity(A, C) | has_immunity(A, B) | (~organization(A)))) | (smaller(hazard_of_mortality(sk1, sk2), hazard_of_mortality(sk1, sk3)) | (~greater_or_equal(position(sk1, sk2), position(sk1, sk3))) | (~greater(capability(sk1, sk2), capability(sk1, sk3))) | has_immunity(sk1, sk2) | has_immunity(sk1, sk3) | (~organization(sk1)))) <=> ((~![B: $i, A: $i, C: $i] : (smaller(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | (~greater_or_equal(position(A, C), position(A, B))) | (~greater(capability(A, C), capability(A, B))) | has_immunity(A, C) | has_immunity(A, B) | (~organization(A)))) | smaller(hazard_of_mortality(sk1, sk2), hazard_of_mortality(sk1, sk3)) | has_immunity(sk1, sk3) | (~organization(sk1)) | has_immunity(sk1, sk2) | (~greater_or_equal(position(sk1, sk2), position(sk1, sk3))) | (~greater(capability(sk1, sk2), capability(sk1, sk3))))),
% 0.09/0.46 inference(transitivity,[status(thm)],[160, 158])).
% 0.09/0.46 tff(162,plain,
% 0.09/0.46 ((~![B: $i, A: $i, C: $i] : (smaller(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | (~greater_or_equal(position(A, C), position(A, B))) | (~greater(capability(A, C), capability(A, B))) | has_immunity(A, C) | has_immunity(A, B) | (~organization(A)))) | (smaller(hazard_of_mortality(sk1, sk2), hazard_of_mortality(sk1, sk3)) | (~greater_or_equal(position(sk1, sk2), position(sk1, sk3))) | (~greater(capability(sk1, sk2), capability(sk1, sk3))) | has_immunity(sk1, sk2) | has_immunity(sk1, sk3) | (~organization(sk1)))),
% 0.09/0.46 inference(quant_inst,[status(thm)],[])).
% 0.09/0.46 tff(163,plain,
% 0.09/0.46 ((~![B: $i, A: $i, C: $i] : (smaller(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | (~greater_or_equal(position(A, C), position(A, B))) | (~greater(capability(A, C), capability(A, B))) | has_immunity(A, C) | has_immunity(A, B) | (~organization(A)))) | smaller(hazard_of_mortality(sk1, sk2), hazard_of_mortality(sk1, sk3)) | has_immunity(sk1, sk3) | (~organization(sk1)) | has_immunity(sk1, sk2) | (~greater_or_equal(position(sk1, sk2), position(sk1, sk3))) | (~greater(capability(sk1, sk2), capability(sk1, sk3)))),
% 0.09/0.46 inference(modus_ponens,[status(thm)],[162, 161])).
% 0.09/0.46 tff(164,plain,
% 0.09/0.46 (has_immunity(sk1, sk3) | has_immunity(sk1, sk2) | (~greater_or_equal(position(sk1, sk2), position(sk1, sk3))) | (~greater(capability(sk1, sk2), capability(sk1, sk3)))),
% 0.09/0.46 inference(unit_resolution,[status(thm)],[163, 157, 3, 147])).
% 0.09/0.46 tff(165,plain,
% 0.09/0.46 (has_immunity(sk1, sk2) | (~greater_or_equal(position(sk1, sk2), position(sk1, sk3))) | (~greater(capability(sk1, sk2), capability(sk1, sk3)))),
% 0.09/0.46 inference(unit_resolution,[status(thm)],[164, 133])).
% 0.09/0.46 tff(166,plain,
% 0.09/0.46 (~greater(capability(sk1, sk2), capability(sk1, sk3))),
% 0.09/0.46 inference(unit_resolution,[status(thm)],[165, 124, 75])).
% 0.09/0.46 tff(167,plain,
% 0.09/0.46 (((~![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))) | ((~smaller(capability(sk1, sk3), capability(sk1, sk2))) | greater(capability(sk1, sk2), capability(sk1, sk3)))) <=> ((~![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))) | (~smaller(capability(sk1, sk3), capability(sk1, sk2))) | greater(capability(sk1, sk2), capability(sk1, sk3)))),
% 0.09/0.46 inference(rewrite,[status(thm)],[])).
% 0.09/0.46 tff(168,plain,
% 0.09/0.46 ((~![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))) | ((~smaller(capability(sk1, sk3), capability(sk1, sk2))) | greater(capability(sk1, sk2), capability(sk1, sk3)))),
% 0.09/0.46 inference(quant_inst,[status(thm)],[])).
% 0.09/0.46 tff(169,plain,
% 0.09/0.46 ((~![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))) | (~smaller(capability(sk1, sk3), capability(sk1, sk2))) | greater(capability(sk1, sk2), capability(sk1, sk3))),
% 0.09/0.46 inference(modus_ponens,[status(thm)],[168, 167])).
% 0.09/0.46 tff(170,plain,
% 0.09/0.46 (~smaller(capability(sk1, sk3), capability(sk1, sk2))),
% 0.09/0.46 inference(unit_resolution,[status(thm)],[169, 143, 166])).
% 0.09/0.46 tff(171,plain,
% 0.09/0.46 (^[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)))))),
% 0.09/0.46 inference(bind,[status(th)],[])).
% 0.09/0.46 tff(172,plain,
% 0.09/0.46 (![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))))),
% 0.09/0.46 inference(quant_intro,[status(thm)],[171])).
% 0.09/0.46 tff(173,plain,
% 0.09/0.46 (![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))))),
% 0.09/0.46 inference(rewrite,[status(thm)],[])).
% 0.09/0.46 tff(174,plain,
% 0.09/0.46 (^[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))))))),
% 0.09/0.46 inference(bind,[status(th)],[])).
% 0.09/0.46 tff(175,plain,
% 0.09/0.46 (![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))))),
% 0.09/0.46 inference(quant_intro,[status(thm)],[174])).
% 0.09/0.46 tff(176,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/sandbox/benchmark/theBenchmark.p','assumption_5_46')).
% 0.09/0.46 tff(177,plain,
% 0.09/0.46 (![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))))),
% 0.09/0.46 inference(modus_ponens,[status(thm)],[176, 175])).
% 0.09/0.46 tff(178,plain,
% 0.09/0.46 (![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))))),
% 0.09/0.47 inference(modus_ponens,[status(thm)],[177, 173])).
% 0.09/0.47 tff(179,plain,(
% 0.09/0.47 ![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))))),
% 0.09/0.47 inference(skolemize,[status(sab)],[178])).
% 0.09/0.47 tff(180,plain,
% 0.09/0.47 (![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))))),
% 0.09/0.47 inference(modus_ponens,[status(thm)],[179, 172])).
% 0.09/0.47 tff(181,plain,
% 0.09/0.47 (((~![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))))) | (~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))))),
% 0.09/0.47 inference(rewrite,[status(thm)],[])).
% 0.09/0.47 tff(182,plain,
% 0.09/0.47 ((~![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))))),
% 0.23/0.47 inference(quant_inst,[status(thm)],[])).
% 0.23/0.47 tff(183,plain,
% 0.23/0.47 ((~![B: $i, A: $i, C: $i] : ((~organization(A)) | smaller(capability(A, B), capability(A, C)) | (~greater(internal_friction(A, B), internal_friction(A, C))) | (~smaller_or_equal(stock_of_knowledge(A, B), stock_of_knowledge(A, C))))) | (~organization(sk1)) | smaller(capability(sk1, sk3), capability(sk1, sk2)) | (~greater(internal_friction(sk1, sk3), internal_friction(sk1, sk2))) | (~smaller_or_equal(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2)))),
% 0.23/0.47 inference(modus_ponens,[status(thm)],[182, 181])).
% 0.23/0.47 tff(184,plain,
% 0.23/0.47 ((~greater(internal_friction(sk1, sk3), internal_friction(sk1, sk2))) | (~smaller_or_equal(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2)))),
% 0.23/0.47 inference(unit_resolution,[status(thm)],[183, 180, 3, 170])).
% 0.23/0.47 tff(185,plain,
% 0.23/0.47 ($false),
% 0.23/0.47 inference(unit_resolution,[status(thm)],[184, 53, 33])).
% 0.23/0.47 tff(186,plain,(~smaller_or_equal(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2))), inference(lemma,lemma(discharge,[]))).
% 0.23/0.47 tff(187,plain,
% 0.23/0.47 ($false),
% 0.23/0.47 inference(unit_resolution,[status(thm)],[186, 32])).
% 0.23/0.47 % SZS output end Proof
% 0.23/0.47 % E exiting
%------------------------------------------------------------------------------