%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : MGT046-1 : TPTP v9.3.0. Released v2.4.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : run_E %s %d THM
% Computer : n009.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 0.13s 0.42s
% Output : Proof 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT046-1 : TPTP v9.3.0. Released v2.4.0.
% 0.00/0.03 % Command : run_E %s %d THM
% 0.09/0.35 % Computer : n009.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
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 7 13:11:54 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.13/0.42 % SZS status Unsatisfiable
% 0.13/0.42 % SZS output start Proof
% 0.13/0.42 tff(has_immunity_type, type, (
% 0.13/0.42 has_immunity: ( $i * $i ) > $o)).
% 0.13/0.42 tff(sk2_type, type, (
% 0.13/0.42 sk2: $i)).
% 0.13/0.42 tff(sk1_type, type, (
% 0.13/0.42 sk1: $i)).
% 0.13/0.42 tff(sk3_type, type, (
% 0.13/0.42 sk3: $i)).
% 0.13/0.42 tff(has_endowment_type, type, (
% 0.13/0.42 has_endowment: $i > $o)).
% 0.13/0.42 tff(organization_type, type, (
% 0.13/0.42 organization: $i > $o)).
% 0.13/0.42 tff(greater_type, type, (
% 0.13/0.42 greater: ( $i * $i ) > $o)).
% 0.13/0.42 tff(capability_type, type, (
% 0.13/0.42 capability: ( $i * $i ) > $i)).
% 0.13/0.42 tff(smaller_or_equal_type, type, (
% 0.13/0.42 smaller_or_equal: ( $i * $i ) > $o)).
% 0.13/0.42 tff(internal_friction_type, type, (
% 0.13/0.42 internal_friction: ( $i * $i ) > $i)).
% 0.13/0.42 tff(stock_of_knowledge_type, type, (
% 0.13/0.42 stock_of_knowledge: ( $i * $i ) > $i)).
% 0.13/0.42 tff(age_type, type, (
% 0.13/0.42 age: ( $i * $i ) > $i)).
% 0.13/0.42 tff(greater_or_equal_type, type, (
% 0.13/0.42 greater_or_equal: ( $i * $i ) > $o)).
% 0.13/0.42 tff(position_type, type, (
% 0.13/0.42 position: ( $i * $i ) > $i)).
% 0.13/0.42 tff(external_ties_type, type, (
% 0.13/0.42 external_ties: ( $i * $i ) > $i)).
% 0.13/0.42 tff(smaller_type, type, (
% 0.13/0.42 smaller: ( $i * $i ) > $o)).
% 0.13/0.42 tff(hazard_of_mortality_type, type, (
% 0.13/0.42 hazard_of_mortality: ( $i * $i ) > $i)).
% 0.13/0.42 tff(1,assumption,(has_immunity(sk1, sk3)), introduced(assumption)).
% 0.13/0.42 tff(2,plain,
% 0.13/0.42 ((~has_endowment(sk1)) <=> (~has_endowment(sk1))),
% 0.13/0.42 inference(rewrite,[status(thm)],[])).
% 0.13/0.42 tff(3,axiom,(~has_endowment(sk1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','theorem_1_54')).
% 0.13/0.42 tff(4,plain,
% 0.13/0.42 (~has_endowment(sk1)),
% 0.13/0.42 inference(modus_ponens,[status(thm)],[3, 2])).
% 0.13/0.42 tff(5,plain,
% 0.13/0.42 (organization(sk1) <=> organization(sk1)),
% 0.13/0.42 inference(rewrite,[status(thm)],[])).
% 0.13/0.42 tff(6,axiom,(organization(sk1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','theorem_1_53')).
% 0.13/0.42 tff(7,plain,
% 0.13/0.42 (organization(sk1)),
% 0.13/0.42 inference(modus_ponens,[status(thm)],[6, 5])).
% 0.13/0.42 tff(8,plain,
% 0.13/0.42 (^[B: $i, A: $i] : refl(((~has_immunity(A, B)) | has_endowment(A) | (~organization(A))) <=> ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A))))),
% 0.13/0.42 inference(bind,[status(th)],[])).
% 0.13/0.42 tff(9,plain,
% 0.13/0.42 (![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)))),
% 0.13/0.42 inference(quant_intro,[status(thm)],[8])).
% 0.13/0.42 tff(10,plain,
% 0.13/0.42 (![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)))),
% 0.13/0.42 inference(rewrite,[status(thm)],[])).
% 0.13/0.42 tff(11,plain,
% 0.13/0.42 (^[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)))))),
% 0.13/0.42 inference(bind,[status(th)],[])).
% 0.13/0.42 tff(12,plain,
% 0.13/0.42 (![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)))),
% 0.13/0.42 inference(quant_intro,[status(thm)],[11])).
% 0.13/0.42 tff(13,axiom,(![B: $i, A: $i] : (((~organization(A)) | has_endowment(A)) | (~has_immunity(A, B)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','assumption_1_41')).
% 0.13/0.42 tff(14,plain,
% 0.13/0.42 (![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))),
% 0.13/0.42 inference(modus_ponens,[status(thm)],[13, 12])).
% 0.13/0.42 tff(15,plain,
% 0.13/0.42 (![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))),
% 0.13/0.42 inference(modus_ponens,[status(thm)],[14, 10])).
% 0.13/0.42 tff(16,plain,(
% 0.13/0.42 ![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))),
% 0.13/0.42 inference(skolemize,[status(sab)],[15])).
% 0.13/0.42 tff(17,plain,
% 0.13/0.42 (![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))),
% 0.13/0.42 inference(modus_ponens,[status(thm)],[16, 9])).
% 0.13/0.42 tff(18,plain,
% 0.13/0.42 (((~![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)))),
% 0.13/0.42 inference(rewrite,[status(thm)],[])).
% 0.13/0.42 tff(19,plain,
% 0.13/0.42 (((~has_immunity(sk1, sk3)) | has_endowment(sk1) | (~organization(sk1))) <=> (has_endowment(sk1) | (~organization(sk1)) | (~has_immunity(sk1, sk3)))),
% 0.13/0.42 inference(rewrite,[status(thm)],[])).
% 0.13/0.42 tff(20,plain,
% 0.13/0.42 (((~![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))))),
% 0.13/0.42 inference(monotonicity,[status(thm)],[19])).
% 0.13/0.42 tff(21,plain,
% 0.13/0.42 (((~![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)))),
% 0.13/0.42 inference(transitivity,[status(thm)],[20, 18])).
% 0.13/0.42 tff(22,plain,
% 0.13/0.42 ((~![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))) | ((~has_immunity(sk1, sk3)) | has_endowment(sk1) | (~organization(sk1)))),
% 0.13/0.42 inference(quant_inst,[status(thm)],[])).
% 0.13/0.42 tff(23,plain,
% 0.13/0.42 ((~![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))) | has_endowment(sk1) | (~organization(sk1)) | (~has_immunity(sk1, sk3))),
% 0.13/0.42 inference(modus_ponens,[status(thm)],[22, 21])).
% 0.13/0.42 tff(24,plain,
% 0.13/0.42 ($false),
% 0.13/0.42 inference(unit_resolution,[status(thm)],[23, 17, 7, 4, 1])).
% 0.13/0.42 tff(25,plain,(~has_immunity(sk1, sk3)), inference(lemma,lemma(discharge,[]))).
% 0.13/0.42 tff(26,plain,
% 0.13/0.42 (^[B: $i, A: $i, C: $i] : refl(((~organization(A)) | (internal_friction(A, B) = internal_friction(A, C))) <=> ((~organization(A)) | (internal_friction(A, B) = internal_friction(A, C))))),
% 0.13/0.42 inference(bind,[status(th)],[])).
% 0.13/0.42 tff(27,plain,
% 0.13/0.42 (![B: $i, A: $i, C: $i] : ((~organization(A)) | (internal_friction(A, B) = internal_friction(A, C))) <=> ![B: $i, A: $i, C: $i] : ((~organization(A)) | (internal_friction(A, B) = internal_friction(A, C)))),
% 0.13/0.42 inference(quant_intro,[status(thm)],[26])).
% 0.13/0.42 tff(28,plain,
% 0.13/0.42 (![B: $i, A: $i, C: $i] : ((~organization(A)) | (internal_friction(A, B) = internal_friction(A, C))) <=> ![B: $i, A: $i, C: $i] : ((~organization(A)) | (internal_friction(A, B) = internal_friction(A, C)))),
% 0.13/0.42 inference(rewrite,[status(thm)],[])).
% 0.13/0.42 tff(29,axiom,(![B: $i, A: $i, C: $i] : ((~organization(A)) | (internal_friction(A, B) = internal_friction(A, C)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','assumption_9_52')).
% 0.13/0.42 tff(30,plain,
% 0.13/0.42 (![B: $i, A: $i, C: $i] : ((~organization(A)) | (internal_friction(A, B) = internal_friction(A, C)))),
% 0.13/0.42 inference(modus_ponens,[status(thm)],[29, 28])).
% 0.13/0.42 tff(31,plain,(
% 0.13/0.42 ![B: $i, A: $i, C: $i] : ((~organization(A)) | (internal_friction(A, B) = internal_friction(A, C)))),
% 0.13/0.42 inference(skolemize,[status(sab)],[30])).
% 0.13/0.42 tff(32,plain,
% 0.13/0.42 (![B: $i, A: $i, C: $i] : ((~organization(A)) | (internal_friction(A, B) = internal_friction(A, C)))),
% 0.13/0.42 inference(modus_ponens,[status(thm)],[31, 27])).
% 0.13/0.42 tff(33,plain,
% 0.13/0.42 (((~![B: $i, A: $i, C: $i] : ((~organization(A)) | (internal_friction(A, B) = internal_friction(A, C)))) | ((~organization(sk1)) | (internal_friction(sk1, sk2) = internal_friction(sk1, sk3)))) <=> ((~![B: $i, A: $i, C: $i] : ((~organization(A)) | (internal_friction(A, B) = internal_friction(A, C)))) | (~organization(sk1)) | (internal_friction(sk1, sk2) = internal_friction(sk1, sk3)))),
% 0.13/0.42 inference(rewrite,[status(thm)],[])).
% 0.13/0.42 tff(34,plain,
% 0.13/0.42 ((~![B: $i, A: $i, C: $i] : ((~organization(A)) | (internal_friction(A, B) = internal_friction(A, C)))) | ((~organization(sk1)) | (internal_friction(sk1, sk2) = internal_friction(sk1, sk3)))),
% 0.13/0.42 inference(quant_inst,[status(thm)],[])).
% 0.13/0.42 tff(35,plain,
% 0.13/0.42 ((~![B: $i, A: $i, C: $i] : ((~organization(A)) | (internal_friction(A, B) = internal_friction(A, C)))) | (~organization(sk1)) | (internal_friction(sk1, sk2) = internal_friction(sk1, sk3))),
% 0.13/0.42 inference(modus_ponens,[status(thm)],[34, 33])).
% 0.13/0.42 tff(36,plain,
% 0.13/0.42 (internal_friction(sk1, sk2) = internal_friction(sk1, sk3)),
% 0.13/0.42 inference(unit_resolution,[status(thm)],[35, 32, 7])).
% 0.13/0.42 tff(37,plain,
% 0.13/0.42 (smaller_or_equal(internal_friction(sk1, sk3), internal_friction(sk1, sk2)) <=> smaller_or_equal(internal_friction(sk1, sk3), internal_friction(sk1, sk3))),
% 0.13/0.42 inference(monotonicity,[status(thm)],[36])).
% 0.13/0.42 tff(38,plain,
% 0.13/0.42 (smaller_or_equal(internal_friction(sk1, sk3), internal_friction(sk1, sk3)) <=> smaller_or_equal(internal_friction(sk1, sk3), internal_friction(sk1, sk2))),
% 0.13/0.42 inference(symmetry,[status(thm)],[37])).
% 0.13/0.42 tff(39,assumption,(~smaller_or_equal(internal_friction(sk1, sk3), internal_friction(sk1, sk3))), introduced(assumption)).
% 0.13/0.42 tff(40,plain,
% 0.13/0.42 (^[B: $i] : refl(smaller_or_equal(B, B) <=> smaller_or_equal(B, B))),
% 0.13/0.42 inference(bind,[status(th)],[])).
% 0.13/0.42 tff(41,plain,
% 0.13/0.42 (![B: $i] : smaller_or_equal(B, B) <=> ![B: $i] : smaller_or_equal(B, B)),
% 0.13/0.42 inference(quant_intro,[status(thm)],[40])).
% 0.13/0.42 tff(42,plain,
% 0.13/0.42 (![B: $i] : smaller_or_equal(B, B) <=> ![B: $i] : smaller_or_equal(B, B)),
% 0.13/0.42 inference(rewrite,[status(thm)],[])).
% 0.13/0.42 tff(43,plain,
% 0.13/0.42 (![B: $i, A: $i] : smaller_or_equal(B, B) <=> ![B: $i] : smaller_or_equal(B, B)),
% 0.13/0.42 inference(elim_unused_vars,[status(thm)],[])).
% 0.13/0.42 tff(44,plain,
% 0.13/0.42 (![B: $i, A: $i] : ((~(A = B)) | smaller_or_equal(A, B)) <=> ![B: $i, A: $i] : smaller_or_equal(B, B)),
% 0.13/0.42 inference(destructive_equality_resolution,[status(thm)],[])).
% 0.13/0.42 tff(45,plain,
% 0.13/0.42 (![B: $i, A: $i] : ((~(A = B)) | smaller_or_equal(A, B)) <=> ![B: $i] : smaller_or_equal(B, B)),
% 0.13/0.42 inference(transitivity,[status(thm)],[44, 43])).
% 0.13/0.42 tff(46,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')).
% 0.13/0.42 tff(47,plain,
% 0.13/0.42 (![B: $i] : smaller_or_equal(B, B)),
% 0.13/0.42 inference(modus_ponens,[status(thm)],[46, 45])).
% 0.13/0.42 tff(48,plain,
% 0.13/0.42 (![B: $i] : smaller_or_equal(B, B)),
% 0.13/0.42 inference(modus_ponens,[status(thm)],[47, 42])).
% 0.13/0.42 tff(49,plain,(
% 0.13/0.42 ![B: $i] : smaller_or_equal(B, B)),
% 0.13/0.42 inference(skolemize,[status(sab)],[48])).
% 0.13/0.42 tff(50,plain,
% 0.13/0.42 (![B: $i] : smaller_or_equal(B, B)),
% 0.13/0.42 inference(modus_ponens,[status(thm)],[49, 41])).
% 0.13/0.42 tff(51,plain,
% 0.13/0.42 ((~![B: $i] : smaller_or_equal(B, B)) | smaller_or_equal(internal_friction(sk1, sk3), internal_friction(sk1, sk3))),
% 0.13/0.42 inference(quant_inst,[status(thm)],[])).
% 0.13/0.42 tff(52,plain,
% 0.13/0.42 ($false),
% 0.13/0.42 inference(unit_resolution,[status(thm)],[51, 50, 39])).
% 0.13/0.42 tff(53,plain,(smaller_or_equal(internal_friction(sk1, sk3), internal_friction(sk1, sk3))), inference(lemma,lemma(discharge,[]))).
% 0.13/0.42 tff(54,plain,
% 0.13/0.42 (smaller_or_equal(internal_friction(sk1, sk3), internal_friction(sk1, sk2))),
% 0.13/0.42 inference(modus_ponens,[status(thm)],[53, 38])).
% 0.13/0.42 tff(55,assumption,(~smaller_or_equal(internal_friction(sk1, sk3), internal_friction(sk1, sk2))), introduced(assumption)).
% 0.13/0.42 tff(56,plain,
% 0.13/0.42 ($false),
% 0.13/0.42 inference(unit_resolution,[status(thm)],[55, 54])).
% 0.13/0.42 tff(57,plain,(smaller_or_equal(internal_friction(sk1, sk3), internal_friction(sk1, sk2))), inference(lemma,lemma(discharge,[]))).
% 0.13/0.42 tff(58,assumption,(~greater(capability(sk1, sk3), capability(sk1, sk2))), introduced(assumption)).
% 0.13/0.42 tff(59,plain,
% 0.13/0.42 (greater(age(sk1, sk3), age(sk1, sk2)) <=> greater(age(sk1, sk3), age(sk1, sk2))),
% 0.13/0.42 inference(rewrite,[status(thm)],[])).
% 0.13/0.42 tff(60,axiom,(greater(age(sk1, sk3), age(sk1, sk2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','theorem_1_55')).
% 0.13/0.42 tff(61,plain,
% 0.13/0.42 (greater(age(sk1, sk3), age(sk1, sk2))),
% 0.13/0.42 inference(modus_ponens,[status(thm)],[60, 59])).
% 0.13/0.42 tff(62,plain,
% 0.13/0.42 (^[B: $i, A: $i, C: $i] : refl(((~organization(A)) | greater(stock_of_knowledge(A, B), stock_of_knowledge(A, C)) | (~greater(age(A, B), age(A, C)))) <=> ((~organization(A)) | greater(stock_of_knowledge(A, B), stock_of_knowledge(A, C)) | (~greater(age(A, B), age(A, C)))))),
% 0.13/0.42 inference(bind,[status(th)],[])).
% 0.13/0.42 tff(63,plain,
% 0.13/0.42 (![B: $i, A: $i, C: $i] : ((~organization(A)) | greater(stock_of_knowledge(A, B), stock_of_knowledge(A, C)) | (~greater(age(A, B), age(A, C)))) <=> ![B: $i, A: $i, C: $i] : ((~organization(A)) | greater(stock_of_knowledge(A, B), stock_of_knowledge(A, C)) | (~greater(age(A, B), age(A, C))))),
% 0.13/0.42 inference(quant_intro,[status(thm)],[62])).
% 0.13/0.42 tff(64,plain,
% 0.13/0.42 (![B: $i, A: $i, C: $i] : ((~organization(A)) | greater(stock_of_knowledge(A, B), stock_of_knowledge(A, C)) | (~greater(age(A, B), age(A, C)))) <=> ![B: $i, A: $i, C: $i] : ((~organization(A)) | greater(stock_of_knowledge(A, B), stock_of_knowledge(A, C)) | (~greater(age(A, B), age(A, C))))),
% 0.13/0.42 inference(rewrite,[status(thm)],[])).
% 0.13/0.42 tff(65,plain,
% 0.13/0.42 (^[B: $i, A: $i, C: $i] : rewrite((((~organization(A)) | (~greater(age(A, B), age(A, C)))) | greater(stock_of_knowledge(A, B), stock_of_knowledge(A, C))) <=> ((~organization(A)) | greater(stock_of_knowledge(A, B), stock_of_knowledge(A, C)) | (~greater(age(A, B), age(A, C)))))),
% 0.13/0.42 inference(bind,[status(th)],[])).
% 0.13/0.42 tff(66,plain,
% 0.13/0.42 (![B: $i, A: $i, C: $i] : (((~organization(A)) | (~greater(age(A, B), age(A, C)))) | greater(stock_of_knowledge(A, B), stock_of_knowledge(A, C))) <=> ![B: $i, A: $i, C: $i] : ((~organization(A)) | greater(stock_of_knowledge(A, B), stock_of_knowledge(A, C)) | (~greater(age(A, B), age(A, C))))),
% 0.13/0.42 inference(quant_intro,[status(thm)],[65])).
% 0.13/0.42 tff(67,axiom,(![B: $i, A: $i, C: $i] : (((~organization(A)) | (~greater(age(A, B), age(A, C)))) | greater(stock_of_knowledge(A, B), stock_of_knowledge(A, C)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','assumption_7_50')).
% 0.13/0.42 tff(68,plain,
% 0.13/0.42 (![B: $i, A: $i, C: $i] : ((~organization(A)) | greater(stock_of_knowledge(A, B), stock_of_knowledge(A, C)) | (~greater(age(A, B), age(A, C))))),
% 0.13/0.42 inference(modus_ponens,[status(thm)],[67, 66])).
% 0.13/0.42 tff(69,plain,
% 0.13/0.42 (![B: $i, A: $i, C: $i] : ((~organization(A)) | greater(stock_of_knowledge(A, B), stock_of_knowledge(A, C)) | (~greater(age(A, B), age(A, C))))),
% 0.13/0.42 inference(modus_ponens,[status(thm)],[68, 64])).
% 0.13/0.42 tff(70,plain,(
% 0.13/0.42 ![B: $i, A: $i, C: $i] : ((~organization(A)) | greater(stock_of_knowledge(A, B), stock_of_knowledge(A, C)) | (~greater(age(A, B), age(A, C))))),
% 0.13/0.42 inference(skolemize,[status(sab)],[69])).
% 0.13/0.42 tff(71,plain,
% 0.13/0.42 (![B: $i, A: $i, C: $i] : ((~organization(A)) | greater(stock_of_knowledge(A, B), stock_of_knowledge(A, C)) | (~greater(age(A, B), age(A, C))))),
% 0.13/0.42 inference(modus_ponens,[status(thm)],[70, 63])).
% 0.13/0.42 tff(72,plain,
% 0.13/0.42 (((~![B: $i, A: $i, C: $i] : ((~organization(A)) | greater(stock_of_knowledge(A, B), stock_of_knowledge(A, C)) | (~greater(age(A, B), age(A, C))))) | ((~greater(age(sk1, sk3), age(sk1, sk2))) | (~organization(sk1)) | greater(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2)))) <=> ((~![B: $i, A: $i, C: $i] : ((~organization(A)) | greater(stock_of_knowledge(A, B), stock_of_knowledge(A, C)) | (~greater(age(A, B), age(A, C))))) | (~greater(age(sk1, sk3), age(sk1, sk2))) | (~organization(sk1)) | greater(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2)))),
% 0.13/0.42 inference(rewrite,[status(thm)],[])).
% 0.13/0.42 tff(73,plain,
% 0.13/0.42 (((~organization(sk1)) | greater(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2)) | (~greater(age(sk1, sk3), age(sk1, sk2)))) <=> ((~greater(age(sk1, sk3), age(sk1, sk2))) | (~organization(sk1)) | greater(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2)))),
% 0.13/0.42 inference(rewrite,[status(thm)],[])).
% 0.13/0.42 tff(74,plain,
% 0.13/0.42 (((~![B: $i, A: $i, C: $i] : ((~organization(A)) | greater(stock_of_knowledge(A, B), stock_of_knowledge(A, C)) | (~greater(age(A, B), age(A, C))))) | ((~organization(sk1)) | greater(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2)) | (~greater(age(sk1, sk3), age(sk1, sk2))))) <=> ((~![B: $i, A: $i, C: $i] : ((~organization(A)) | greater(stock_of_knowledge(A, B), stock_of_knowledge(A, C)) | (~greater(age(A, B), age(A, C))))) | ((~greater(age(sk1, sk3), age(sk1, sk2))) | (~organization(sk1)) | greater(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2))))),
% 0.13/0.43 inference(monotonicity,[status(thm)],[73])).
% 0.13/0.43 tff(75,plain,
% 0.13/0.43 (((~![B: $i, A: $i, C: $i] : ((~organization(A)) | greater(stock_of_knowledge(A, B), stock_of_knowledge(A, C)) | (~greater(age(A, B), age(A, C))))) | ((~organization(sk1)) | greater(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2)) | (~greater(age(sk1, sk3), age(sk1, sk2))))) <=> ((~![B: $i, A: $i, C: $i] : ((~organization(A)) | greater(stock_of_knowledge(A, B), stock_of_knowledge(A, C)) | (~greater(age(A, B), age(A, C))))) | (~greater(age(sk1, sk3), age(sk1, sk2))) | (~organization(sk1)) | greater(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2)))),
% 0.13/0.43 inference(transitivity,[status(thm)],[74, 72])).
% 0.13/0.43 tff(76,plain,
% 0.13/0.43 ((~![B: $i, A: $i, C: $i] : ((~organization(A)) | greater(stock_of_knowledge(A, B), stock_of_knowledge(A, C)) | (~greater(age(A, B), age(A, C))))) | ((~organization(sk1)) | greater(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2)) | (~greater(age(sk1, sk3), age(sk1, sk2))))),
% 0.13/0.43 inference(quant_inst,[status(thm)],[])).
% 0.13/0.43 tff(77,plain,
% 0.13/0.43 ((~![B: $i, A: $i, C: $i] : ((~organization(A)) | greater(stock_of_knowledge(A, B), stock_of_knowledge(A, C)) | (~greater(age(A, B), age(A, C))))) | (~greater(age(sk1, sk3), age(sk1, sk2))) | (~organization(sk1)) | greater(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2))),
% 0.13/0.43 inference(modus_ponens,[status(thm)],[76, 75])).
% 0.13/0.43 tff(78,plain,
% 0.13/0.43 (greater(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2))),
% 0.13/0.43 inference(unit_resolution,[status(thm)],[77, 71, 7, 61])).
% 0.13/0.43 tff(79,plain,
% 0.13/0.43 (^[B: $i, A: $i, C: $i] : refl((greater(capability(A, B), capability(A, C)) | (~organization(A)) | (~smaller_or_equal(internal_friction(A, B), internal_friction(A, C))) | (~greater(stock_of_knowledge(A, B), stock_of_knowledge(A, C)))) <=> (greater(capability(A, B), capability(A, C)) | (~organization(A)) | (~smaller_or_equal(internal_friction(A, B), internal_friction(A, C))) | (~greater(stock_of_knowledge(A, B), stock_of_knowledge(A, C)))))),
% 0.13/0.43 inference(bind,[status(th)],[])).
% 0.13/0.43 tff(80,plain,
% 0.13/0.43 (![B: $i, A: $i, C: $i] : (greater(capability(A, B), capability(A, C)) | (~organization(A)) | (~smaller_or_equal(internal_friction(A, B), internal_friction(A, C))) | (~greater(stock_of_knowledge(A, B), stock_of_knowledge(A, C)))) <=> ![B: $i, A: $i, C: $i] : (greater(capability(A, B), capability(A, C)) | (~organization(A)) | (~smaller_or_equal(internal_friction(A, B), internal_friction(A, C))) | (~greater(stock_of_knowledge(A, B), stock_of_knowledge(A, C))))),
% 0.13/0.43 inference(quant_intro,[status(thm)],[79])).
% 0.13/0.43 tff(81,plain,
% 0.13/0.43 (![B: $i, A: $i, C: $i] : (greater(capability(A, B), capability(A, C)) | (~organization(A)) | (~smaller_or_equal(internal_friction(A, B), internal_friction(A, C))) | (~greater(stock_of_knowledge(A, B), stock_of_knowledge(A, C)))) <=> ![B: $i, A: $i, C: $i] : (greater(capability(A, B), capability(A, C)) | (~organization(A)) | (~smaller_or_equal(internal_friction(A, B), internal_friction(A, C))) | (~greater(stock_of_knowledge(A, B), stock_of_knowledge(A, C))))),
% 0.13/0.43 inference(rewrite,[status(thm)],[])).
% 0.13/0.43 tff(82,plain,
% 0.13/0.43 (^[B: $i, A: $i, C: $i] : trans(monotonicity(rewrite((((~organization(A)) | (~greater(stock_of_knowledge(A, B), stock_of_knowledge(A, C)))) | (~smaller_or_equal(internal_friction(A, B), internal_friction(A, C)))) <=> ((~organization(A)) | (~smaller_or_equal(internal_friction(A, B), internal_friction(A, C))) | (~greater(stock_of_knowledge(A, B), stock_of_knowledge(A, C))))), (((((~organization(A)) | (~greater(stock_of_knowledge(A, B), stock_of_knowledge(A, C)))) | (~smaller_or_equal(internal_friction(A, B), internal_friction(A, C)))) | greater(capability(A, B), capability(A, C))) <=> (((~organization(A)) | (~smaller_or_equal(internal_friction(A, B), internal_friction(A, C))) | (~greater(stock_of_knowledge(A, B), stock_of_knowledge(A, C)))) | greater(capability(A, B), capability(A, C))))), rewrite((((~organization(A)) | (~smaller_or_equal(internal_friction(A, B), internal_friction(A, C))) | (~greater(stock_of_knowledge(A, B), stock_of_knowledge(A, C)))) | greater(capability(A, B), capability(A, C))) <=> (greater(capability(A, B), capability(A, C)) | (~organization(A)) | (~smaller_or_equal(internal_friction(A, B), internal_friction(A, C))) | (~greater(stock_of_knowledge(A, B), stock_of_knowledge(A, C))))), (((((~organization(A)) | (~greater(stock_of_knowledge(A, B), stock_of_knowledge(A, C)))) | (~smaller_or_equal(internal_friction(A, B), internal_friction(A, C)))) | greater(capability(A, B), capability(A, C))) <=> (greater(capability(A, B), capability(A, C)) | (~organization(A)) | (~smaller_or_equal(internal_friction(A, B), internal_friction(A, C))) | (~greater(stock_of_knowledge(A, B), stock_of_knowledge(A, C))))))),
% 0.13/0.43 inference(bind,[status(th)],[])).
% 0.13/0.43 tff(83,plain,
% 0.13/0.43 (![B: $i, A: $i, C: $i] : ((((~organization(A)) | (~greater(stock_of_knowledge(A, B), stock_of_knowledge(A, C)))) | (~smaller_or_equal(internal_friction(A, B), internal_friction(A, C)))) | greater(capability(A, B), capability(A, C))) <=> ![B: $i, A: $i, C: $i] : (greater(capability(A, B), capability(A, C)) | (~organization(A)) | (~smaller_or_equal(internal_friction(A, B), internal_friction(A, C))) | (~greater(stock_of_knowledge(A, B), stock_of_knowledge(A, C))))),
% 0.13/0.43 inference(quant_intro,[status(thm)],[82])).
% 0.13/0.43 tff(84,axiom,(![B: $i, A: $i, C: $i] : ((((~organization(A)) | (~greater(stock_of_knowledge(A, B), stock_of_knowledge(A, C)))) | (~smaller_or_equal(internal_friction(A, B), internal_friction(A, C)))) | greater(capability(A, B), capability(A, C)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','assumption_5_45')).
% 0.13/0.43 tff(85,plain,
% 0.13/0.43 (![B: $i, A: $i, C: $i] : (greater(capability(A, B), capability(A, C)) | (~organization(A)) | (~smaller_or_equal(internal_friction(A, B), internal_friction(A, C))) | (~greater(stock_of_knowledge(A, B), stock_of_knowledge(A, C))))),
% 0.13/0.43 inference(modus_ponens,[status(thm)],[84, 83])).
% 0.13/0.43 tff(86,plain,
% 0.13/0.43 (![B: $i, A: $i, C: $i] : (greater(capability(A, B), capability(A, C)) | (~organization(A)) | (~smaller_or_equal(internal_friction(A, B), internal_friction(A, C))) | (~greater(stock_of_knowledge(A, B), stock_of_knowledge(A, C))))),
% 0.13/0.43 inference(modus_ponens,[status(thm)],[85, 81])).
% 0.13/0.43 tff(87,plain,(
% 0.13/0.43 ![B: $i, A: $i, C: $i] : (greater(capability(A, B), capability(A, C)) | (~organization(A)) | (~smaller_or_equal(internal_friction(A, B), internal_friction(A, C))) | (~greater(stock_of_knowledge(A, B), stock_of_knowledge(A, C))))),
% 0.13/0.43 inference(skolemize,[status(sab)],[86])).
% 0.13/0.43 tff(88,plain,
% 0.13/0.43 (![B: $i, A: $i, C: $i] : (greater(capability(A, B), capability(A, C)) | (~organization(A)) | (~smaller_or_equal(internal_friction(A, B), internal_friction(A, C))) | (~greater(stock_of_knowledge(A, B), stock_of_knowledge(A, C))))),
% 0.13/0.43 inference(modus_ponens,[status(thm)],[87, 80])).
% 0.13/0.43 tff(89,plain,
% 0.13/0.43 (((~![B: $i, A: $i, C: $i] : (greater(capability(A, B), capability(A, C)) | (~organization(A)) | (~smaller_or_equal(internal_friction(A, B), internal_friction(A, C))) | (~greater(stock_of_knowledge(A, B), stock_of_knowledge(A, C))))) | ((~organization(sk1)) | greater(capability(sk1, sk3), capability(sk1, sk2)) | (~smaller_or_equal(internal_friction(sk1, sk3), internal_friction(sk1, sk2))) | (~greater(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2))))) <=> ((~![B: $i, A: $i, C: $i] : (greater(capability(A, B), capability(A, C)) | (~organization(A)) | (~smaller_or_equal(internal_friction(A, B), internal_friction(A, C))) | (~greater(stock_of_knowledge(A, B), stock_of_knowledge(A, C))))) | (~organization(sk1)) | greater(capability(sk1, sk3), capability(sk1, sk2)) | (~smaller_or_equal(internal_friction(sk1, sk3), internal_friction(sk1, sk2))) | (~greater(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2))))),
% 0.13/0.43 inference(rewrite,[status(thm)],[])).
% 0.13/0.43 tff(90,plain,
% 0.13/0.43 ((greater(capability(sk1, sk3), capability(sk1, sk2)) | (~organization(sk1)) | (~smaller_or_equal(internal_friction(sk1, sk3), internal_friction(sk1, sk2))) | (~greater(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2)))) <=> ((~organization(sk1)) | greater(capability(sk1, sk3), capability(sk1, sk2)) | (~smaller_or_equal(internal_friction(sk1, sk3), internal_friction(sk1, sk2))) | (~greater(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2))))),
% 0.13/0.43 inference(rewrite,[status(thm)],[])).
% 0.13/0.43 tff(91,plain,
% 0.13/0.43 (((~![B: $i, A: $i, C: $i] : (greater(capability(A, B), capability(A, C)) | (~organization(A)) | (~smaller_or_equal(internal_friction(A, B), internal_friction(A, C))) | (~greater(stock_of_knowledge(A, B), stock_of_knowledge(A, C))))) | (greater(capability(sk1, sk3), capability(sk1, sk2)) | (~organization(sk1)) | (~smaller_or_equal(internal_friction(sk1, sk3), internal_friction(sk1, sk2))) | (~greater(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2))))) <=> ((~![B: $i, A: $i, C: $i] : (greater(capability(A, B), capability(A, C)) | (~organization(A)) | (~smaller_or_equal(internal_friction(A, B), internal_friction(A, C))) | (~greater(stock_of_knowledge(A, B), stock_of_knowledge(A, C))))) | ((~organization(sk1)) | greater(capability(sk1, sk3), capability(sk1, sk2)) | (~smaller_or_equal(internal_friction(sk1, sk3), internal_friction(sk1, sk2))) | (~greater(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2)))))),
% 0.13/0.43 inference(monotonicity,[status(thm)],[90])).
% 0.13/0.43 tff(92,plain,
% 0.13/0.43 (((~![B: $i, A: $i, C: $i] : (greater(capability(A, B), capability(A, C)) | (~organization(A)) | (~smaller_or_equal(internal_friction(A, B), internal_friction(A, C))) | (~greater(stock_of_knowledge(A, B), stock_of_knowledge(A, C))))) | (greater(capability(sk1, sk3), capability(sk1, sk2)) | (~organization(sk1)) | (~smaller_or_equal(internal_friction(sk1, sk3), internal_friction(sk1, sk2))) | (~greater(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2))))) <=> ((~![B: $i, A: $i, C: $i] : (greater(capability(A, B), capability(A, C)) | (~organization(A)) | (~smaller_or_equal(internal_friction(A, B), internal_friction(A, C))) | (~greater(stock_of_knowledge(A, B), stock_of_knowledge(A, C))))) | (~organization(sk1)) | greater(capability(sk1, sk3), capability(sk1, sk2)) | (~smaller_or_equal(internal_friction(sk1, sk3), internal_friction(sk1, sk2))) | (~greater(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2))))),
% 0.13/0.43 inference(transitivity,[status(thm)],[91, 89])).
% 0.13/0.43 tff(93,plain,
% 0.13/0.43 ((~![B: $i, A: $i, C: $i] : (greater(capability(A, B), capability(A, C)) | (~organization(A)) | (~smaller_or_equal(internal_friction(A, B), internal_friction(A, C))) | (~greater(stock_of_knowledge(A, B), stock_of_knowledge(A, C))))) | (greater(capability(sk1, sk3), capability(sk1, sk2)) | (~organization(sk1)) | (~smaller_or_equal(internal_friction(sk1, sk3), internal_friction(sk1, sk2))) | (~greater(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2))))),
% 0.13/0.43 inference(quant_inst,[status(thm)],[])).
% 0.13/0.43 tff(94,plain,
% 0.13/0.43 ((~![B: $i, A: $i, C: $i] : (greater(capability(A, B), capability(A, C)) | (~organization(A)) | (~smaller_or_equal(internal_friction(A, B), internal_friction(A, C))) | (~greater(stock_of_knowledge(A, B), stock_of_knowledge(A, C))))) | (~organization(sk1)) | greater(capability(sk1, sk3), capability(sk1, sk2)) | (~smaller_or_equal(internal_friction(sk1, sk3), internal_friction(sk1, sk2))) | (~greater(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2)))),
% 0.13/0.43 inference(modus_ponens,[status(thm)],[93, 92])).
% 0.13/0.43 tff(95,plain,
% 0.13/0.43 (greater(capability(sk1, sk3), capability(sk1, sk2)) | (~smaller_or_equal(internal_friction(sk1, sk3), internal_friction(sk1, sk2))) | (~greater(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2)))),
% 0.13/0.43 inference(unit_resolution,[status(thm)],[94, 88, 7])).
% 0.13/0.43 tff(96,plain,
% 0.13/0.43 ($false),
% 0.13/0.43 inference(unit_resolution,[status(thm)],[95, 78, 58, 57])).
% 0.13/0.43 tff(97,plain,(greater(capability(sk1, sk3), capability(sk1, sk2))), inference(lemma,lemma(discharge,[]))).
% 0.13/0.43 tff(98,assumption,(~greater(external_ties(sk1, sk3), external_ties(sk1, sk2))), introduced(assumption)).
% 0.13/0.43 tff(99,plain,
% 0.13/0.43 (^[B: $i, A: $i, C: $i] : refl((greater(external_ties(A, B), external_ties(A, C)) | (~organization(A)) | (~greater(age(A, B), age(A, C)))) <=> (greater(external_ties(A, B), external_ties(A, C)) | (~organization(A)) | (~greater(age(A, B), age(A, C)))))),
% 0.13/0.43 inference(bind,[status(th)],[])).
% 0.13/0.43 tff(100,plain,
% 0.13/0.43 (![B: $i, A: $i, C: $i] : (greater(external_ties(A, B), external_ties(A, C)) | (~organization(A)) | (~greater(age(A, B), age(A, C)))) <=> ![B: $i, A: $i, C: $i] : (greater(external_ties(A, B), external_ties(A, C)) | (~organization(A)) | (~greater(age(A, B), age(A, C))))),
% 0.13/0.43 inference(quant_intro,[status(thm)],[99])).
% 0.13/0.43 tff(101,plain,
% 0.13/0.43 (![B: $i, A: $i, C: $i] : (greater(external_ties(A, B), external_ties(A, C)) | (~organization(A)) | (~greater(age(A, B), age(A, C)))) <=> ![B: $i, A: $i, C: $i] : (greater(external_ties(A, B), external_ties(A, C)) | (~organization(A)) | (~greater(age(A, B), age(A, C))))),
% 0.13/0.43 inference(rewrite,[status(thm)],[])).
% 0.13/0.43 tff(102,plain,
% 0.13/0.43 (^[B: $i, A: $i, C: $i] : rewrite((((~organization(A)) | (~greater(age(A, B), age(A, C)))) | greater(external_ties(A, B), external_ties(A, C))) <=> (greater(external_ties(A, B), external_ties(A, C)) | (~organization(A)) | (~greater(age(A, B), age(A, C)))))),
% 0.13/0.43 inference(bind,[status(th)],[])).
% 0.13/0.43 tff(103,plain,
% 0.13/0.43 (![B: $i, A: $i, C: $i] : (((~organization(A)) | (~greater(age(A, B), age(A, C)))) | greater(external_ties(A, B), external_ties(A, C))) <=> ![B: $i, A: $i, C: $i] : (greater(external_ties(A, B), external_ties(A, C)) | (~organization(A)) | (~greater(age(A, B), age(A, C))))),
% 0.13/0.43 inference(quant_intro,[status(thm)],[102])).
% 0.13/0.43 tff(104,axiom,(![B: $i, A: $i, C: $i] : (((~organization(A)) | (~greater(age(A, B), age(A, C)))) | greater(external_ties(A, B), external_ties(A, C)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','assumption_8_51')).
% 0.13/0.43 tff(105,plain,
% 0.13/0.43 (![B: $i, A: $i, C: $i] : (greater(external_ties(A, B), external_ties(A, C)) | (~organization(A)) | (~greater(age(A, B), age(A, C))))),
% 0.13/0.43 inference(modus_ponens,[status(thm)],[104, 103])).
% 0.13/0.43 tff(106,plain,
% 0.13/0.43 (![B: $i, A: $i, C: $i] : (greater(external_ties(A, B), external_ties(A, C)) | (~organization(A)) | (~greater(age(A, B), age(A, C))))),
% 0.13/0.43 inference(modus_ponens,[status(thm)],[105, 101])).
% 0.13/0.43 tff(107,plain,(
% 0.13/0.43 ![B: $i, A: $i, C: $i] : (greater(external_ties(A, B), external_ties(A, C)) | (~organization(A)) | (~greater(age(A, B), age(A, C))))),
% 0.13/0.43 inference(skolemize,[status(sab)],[106])).
% 0.13/0.43 tff(108,plain,
% 0.13/0.43 (![B: $i, A: $i, C: $i] : (greater(external_ties(A, B), external_ties(A, C)) | (~organization(A)) | (~greater(age(A, B), age(A, C))))),
% 0.13/0.43 inference(modus_ponens,[status(thm)],[107, 100])).
% 0.13/0.43 tff(109,plain,
% 0.13/0.43 (((~![B: $i, A: $i, C: $i] : (greater(external_ties(A, B), external_ties(A, C)) | (~organization(A)) | (~greater(age(A, B), age(A, C))))) | ((~greater(age(sk1, sk3), age(sk1, sk2))) | (~organization(sk1)) | greater(external_ties(sk1, sk3), external_ties(sk1, sk2)))) <=> ((~![B: $i, A: $i, C: $i] : (greater(external_ties(A, B), external_ties(A, C)) | (~organization(A)) | (~greater(age(A, B), age(A, C))))) | (~greater(age(sk1, sk3), age(sk1, sk2))) | (~organization(sk1)) | greater(external_ties(sk1, sk3), external_ties(sk1, sk2)))),
% 0.13/0.43 inference(rewrite,[status(thm)],[])).
% 0.13/0.43 tff(110,plain,
% 0.13/0.43 ((greater(external_ties(sk1, sk3), external_ties(sk1, sk2)) | (~organization(sk1)) | (~greater(age(sk1, sk3), age(sk1, sk2)))) <=> ((~greater(age(sk1, sk3), age(sk1, sk2))) | (~organization(sk1)) | greater(external_ties(sk1, sk3), external_ties(sk1, sk2)))),
% 0.13/0.43 inference(rewrite,[status(thm)],[])).
% 0.13/0.43 tff(111,plain,
% 0.13/0.43 (((~![B: $i, A: $i, C: $i] : (greater(external_ties(A, B), external_ties(A, C)) | (~organization(A)) | (~greater(age(A, B), age(A, C))))) | (greater(external_ties(sk1, sk3), external_ties(sk1, sk2)) | (~organization(sk1)) | (~greater(age(sk1, sk3), age(sk1, sk2))))) <=> ((~![B: $i, A: $i, C: $i] : (greater(external_ties(A, B), external_ties(A, C)) | (~organization(A)) | (~greater(age(A, B), age(A, C))))) | ((~greater(age(sk1, sk3), age(sk1, sk2))) | (~organization(sk1)) | greater(external_ties(sk1, sk3), external_ties(sk1, sk2))))),
% 0.13/0.43 inference(monotonicity,[status(thm)],[110])).
% 0.13/0.43 tff(112,plain,
% 0.13/0.43 (((~![B: $i, A: $i, C: $i] : (greater(external_ties(A, B), external_ties(A, C)) | (~organization(A)) | (~greater(age(A, B), age(A, C))))) | (greater(external_ties(sk1, sk3), external_ties(sk1, sk2)) | (~organization(sk1)) | (~greater(age(sk1, sk3), age(sk1, sk2))))) <=> ((~![B: $i, A: $i, C: $i] : (greater(external_ties(A, B), external_ties(A, C)) | (~organization(A)) | (~greater(age(A, B), age(A, C))))) | (~greater(age(sk1, sk3), age(sk1, sk2))) | (~organization(sk1)) | greater(external_ties(sk1, sk3), external_ties(sk1, sk2)))),
% 0.13/0.43 inference(transitivity,[status(thm)],[111, 109])).
% 0.13/0.43 tff(113,plain,
% 0.13/0.43 ((~![B: $i, A: $i, C: $i] : (greater(external_ties(A, B), external_ties(A, C)) | (~organization(A)) | (~greater(age(A, B), age(A, C))))) | (greater(external_ties(sk1, sk3), external_ties(sk1, sk2)) | (~organization(sk1)) | (~greater(age(sk1, sk3), age(sk1, sk2))))),
% 0.13/0.43 inference(quant_inst,[status(thm)],[])).
% 0.13/0.43 tff(114,plain,
% 0.13/0.43 ((~![B: $i, A: $i, C: $i] : (greater(external_ties(A, B), external_ties(A, C)) | (~organization(A)) | (~greater(age(A, B), age(A, C))))) | (~greater(age(sk1, sk3), age(sk1, sk2))) | (~organization(sk1)) | greater(external_ties(sk1, sk3), external_ties(sk1, sk2))),
% 0.13/0.43 inference(modus_ponens,[status(thm)],[113, 112])).
% 0.13/0.43 tff(115,plain,
% 0.13/0.43 ($false),
% 0.13/0.43 inference(unit_resolution,[status(thm)],[114, 108, 7, 61, 98])).
% 0.13/0.43 tff(116,plain,(greater(external_ties(sk1, sk3), external_ties(sk1, sk2))), inference(lemma,lemma(discharge,[]))).
% 0.13/0.43 tff(117,assumption,(~greater(position(sk1, sk3), position(sk1, sk2))), introduced(assumption)).
% 0.13/0.43 tff(118,plain,
% 0.13/0.43 (^[B: $i, A: $i, C: $i] : refl((greater(position(A, B), position(A, C)) | (~greater(external_ties(A, B), external_ties(A, C))) | (~organization(A))) <=> (greater(position(A, B), position(A, C)) | (~greater(external_ties(A, B), external_ties(A, C))) | (~organization(A))))),
% 0.13/0.43 inference(bind,[status(th)],[])).
% 0.13/0.43 tff(119,plain,
% 0.13/0.43 (![B: $i, A: $i, C: $i] : (greater(position(A, B), position(A, C)) | (~greater(external_ties(A, B), external_ties(A, C))) | (~organization(A))) <=> ![B: $i, A: $i, C: $i] : (greater(position(A, B), position(A, C)) | (~greater(external_ties(A, B), external_ties(A, C))) | (~organization(A)))),
% 0.13/0.43 inference(quant_intro,[status(thm)],[118])).
% 0.13/0.43 tff(120,plain,
% 0.13/0.43 (![B: $i, A: $i, C: $i] : (greater(position(A, B), position(A, C)) | (~greater(external_ties(A, B), external_ties(A, C))) | (~organization(A))) <=> ![B: $i, A: $i, C: $i] : (greater(position(A, B), position(A, C)) | (~greater(external_ties(A, B), external_ties(A, C))) | (~organization(A)))),
% 0.13/0.43 inference(rewrite,[status(thm)],[])).
% 0.13/0.43 tff(121,plain,
% 0.13/0.43 (^[B: $i, A: $i, C: $i] : rewrite((((~organization(A)) | (~greater(external_ties(A, B), external_ties(A, C)))) | greater(position(A, B), position(A, C))) <=> (greater(position(A, B), position(A, C)) | (~greater(external_ties(A, B), external_ties(A, C))) | (~organization(A))))),
% 0.13/0.43 inference(bind,[status(th)],[])).
% 0.13/0.43 tff(122,plain,
% 0.13/0.43 (![B: $i, A: $i, C: $i] : (((~organization(A)) | (~greater(external_ties(A, B), external_ties(A, C)))) | greater(position(A, B), position(A, C))) <=> ![B: $i, A: $i, C: $i] : (greater(position(A, B), position(A, C)) | (~greater(external_ties(A, B), external_ties(A, C))) | (~organization(A)))),
% 0.13/0.43 inference(quant_intro,[status(thm)],[121])).
% 0.13/0.43 tff(123,axiom,(![B: $i, A: $i, C: $i] : (((~organization(A)) | (~greater(external_ties(A, B), external_ties(A, C)))) | greater(position(A, B), position(A, C)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','assumption_6_48')).
% 0.13/0.43 tff(124,plain,
% 0.13/0.43 (![B: $i, A: $i, C: $i] : (greater(position(A, B), position(A, C)) | (~greater(external_ties(A, B), external_ties(A, C))) | (~organization(A)))),
% 0.13/0.43 inference(modus_ponens,[status(thm)],[123, 122])).
% 0.13/0.43 tff(125,plain,
% 0.13/0.43 (![B: $i, A: $i, C: $i] : (greater(position(A, B), position(A, C)) | (~greater(external_ties(A, B), external_ties(A, C))) | (~organization(A)))),
% 0.13/0.43 inference(modus_ponens,[status(thm)],[124, 120])).
% 0.13/0.44 tff(126,plain,(
% 0.13/0.44 ![B: $i, A: $i, C: $i] : (greater(position(A, B), position(A, C)) | (~greater(external_ties(A, B), external_ties(A, C))) | (~organization(A)))),
% 0.13/0.44 inference(skolemize,[status(sab)],[125])).
% 0.13/0.44 tff(127,plain,
% 0.13/0.44 (![B: $i, A: $i, C: $i] : (greater(position(A, B), position(A, C)) | (~greater(external_ties(A, B), external_ties(A, C))) | (~organization(A)))),
% 0.13/0.44 inference(modus_ponens,[status(thm)],[126, 119])).
% 0.13/0.44 tff(128,plain,
% 0.13/0.44 (((~![B: $i, A: $i, C: $i] : (greater(position(A, B), position(A, C)) | (~greater(external_ties(A, B), external_ties(A, C))) | (~organization(A)))) | ((~organization(sk1)) | greater(position(sk1, sk3), position(sk1, sk2)) | (~greater(external_ties(sk1, sk3), external_ties(sk1, sk2))))) <=> ((~![B: $i, A: $i, C: $i] : (greater(position(A, B), position(A, C)) | (~greater(external_ties(A, B), external_ties(A, C))) | (~organization(A)))) | (~organization(sk1)) | greater(position(sk1, sk3), position(sk1, sk2)) | (~greater(external_ties(sk1, sk3), external_ties(sk1, sk2))))),
% 0.13/0.44 inference(rewrite,[status(thm)],[])).
% 0.13/0.44 tff(129,plain,
% 0.13/0.44 ((greater(position(sk1, sk3), position(sk1, sk2)) | (~greater(external_ties(sk1, sk3), external_ties(sk1, sk2))) | (~organization(sk1))) <=> ((~organization(sk1)) | greater(position(sk1, sk3), position(sk1, sk2)) | (~greater(external_ties(sk1, sk3), external_ties(sk1, sk2))))),
% 0.13/0.44 inference(rewrite,[status(thm)],[])).
% 0.13/0.44 tff(130,plain,
% 0.13/0.44 (((~![B: $i, A: $i, C: $i] : (greater(position(A, B), position(A, C)) | (~greater(external_ties(A, B), external_ties(A, C))) | (~organization(A)))) | (greater(position(sk1, sk3), position(sk1, sk2)) | (~greater(external_ties(sk1, sk3), external_ties(sk1, sk2))) | (~organization(sk1)))) <=> ((~![B: $i, A: $i, C: $i] : (greater(position(A, B), position(A, C)) | (~greater(external_ties(A, B), external_ties(A, C))) | (~organization(A)))) | ((~organization(sk1)) | greater(position(sk1, sk3), position(sk1, sk2)) | (~greater(external_ties(sk1, sk3), external_ties(sk1, sk2)))))),
% 0.13/0.44 inference(monotonicity,[status(thm)],[129])).
% 0.13/0.44 tff(131,plain,
% 0.13/0.44 (((~![B: $i, A: $i, C: $i] : (greater(position(A, B), position(A, C)) | (~greater(external_ties(A, B), external_ties(A, C))) | (~organization(A)))) | (greater(position(sk1, sk3), position(sk1, sk2)) | (~greater(external_ties(sk1, sk3), external_ties(sk1, sk2))) | (~organization(sk1)))) <=> ((~![B: $i, A: $i, C: $i] : (greater(position(A, B), position(A, C)) | (~greater(external_ties(A, B), external_ties(A, C))) | (~organization(A)))) | (~organization(sk1)) | greater(position(sk1, sk3), position(sk1, sk2)) | (~greater(external_ties(sk1, sk3), external_ties(sk1, sk2))))),
% 0.13/0.44 inference(transitivity,[status(thm)],[130, 128])).
% 0.13/0.44 tff(132,plain,
% 0.13/0.44 ((~![B: $i, A: $i, C: $i] : (greater(position(A, B), position(A, C)) | (~greater(external_ties(A, B), external_ties(A, C))) | (~organization(A)))) | (greater(position(sk1, sk3), position(sk1, sk2)) | (~greater(external_ties(sk1, sk3), external_ties(sk1, sk2))) | (~organization(sk1)))),
% 0.13/0.44 inference(quant_inst,[status(thm)],[])).
% 0.13/0.44 tff(133,plain,
% 0.13/0.44 ((~![B: $i, A: $i, C: $i] : (greater(position(A, B), position(A, C)) | (~greater(external_ties(A, B), external_ties(A, C))) | (~organization(A)))) | (~organization(sk1)) | greater(position(sk1, sk3), position(sk1, sk2)) | (~greater(external_ties(sk1, sk3), external_ties(sk1, sk2)))),
% 0.13/0.44 inference(modus_ponens,[status(thm)],[132, 131])).
% 0.13/0.44 tff(134,plain,
% 0.13/0.44 ($false),
% 0.13/0.44 inference(unit_resolution,[status(thm)],[133, 127, 7, 117, 116])).
% 0.13/0.44 tff(135,plain,(greater(position(sk1, sk3), position(sk1, sk2))), inference(lemma,lemma(discharge,[]))).
% 0.13/0.44 tff(136,plain,
% 0.13/0.44 (^[B: $i, A: $i] : refl(((~greater(A, B)) | greater_or_equal(A, B)) <=> ((~greater(A, B)) | greater_or_equal(A, B)))),
% 0.13/0.44 inference(bind,[status(th)],[])).
% 0.13/0.44 tff(137,plain,
% 0.13/0.44 (![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B)) <=> ![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))),
% 0.13/0.44 inference(quant_intro,[status(thm)],[136])).
% 0.13/0.44 tff(138,plain,
% 0.13/0.44 (![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B)) <=> ![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))),
% 0.13/0.44 inference(rewrite,[status(thm)],[])).
% 0.13/0.44 tff(139,axiom,(![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))), file('/export/starexec/sandbox/benchmark/Axioms/MGT001-0.ax','definition_greater_or_equal_5')).
% 0.13/0.44 tff(140,plain,
% 0.13/0.44 (![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))),
% 0.13/0.44 inference(modus_ponens,[status(thm)],[139, 138])).
% 0.13/0.44 tff(141,plain,(
% 0.13/0.44 ![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))),
% 0.13/0.44 inference(skolemize,[status(sab)],[140])).
% 0.13/0.44 tff(142,plain,
% 0.13/0.44 (![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))),
% 0.13/0.44 inference(modus_ponens,[status(thm)],[141, 137])).
% 0.13/0.44 tff(143,plain,
% 0.13/0.44 (((~![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))) | ((~greater(position(sk1, sk3), position(sk1, sk2))) | greater_or_equal(position(sk1, sk3), position(sk1, sk2)))) <=> ((~![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))) | (~greater(position(sk1, sk3), position(sk1, sk2))) | greater_or_equal(position(sk1, sk3), position(sk1, sk2)))),
% 0.13/0.44 inference(rewrite,[status(thm)],[])).
% 0.13/0.44 tff(144,plain,
% 0.13/0.44 ((~![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))) | ((~greater(position(sk1, sk3), position(sk1, sk2))) | greater_or_equal(position(sk1, sk3), position(sk1, sk2)))),
% 0.13/0.44 inference(quant_inst,[status(thm)],[])).
% 0.13/0.44 tff(145,plain,
% 0.13/0.44 ((~![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))) | (~greater(position(sk1, sk3), position(sk1, sk2))) | greater_or_equal(position(sk1, sk3), position(sk1, sk2))),
% 0.13/0.44 inference(modus_ponens,[status(thm)],[144, 143])).
% 0.13/0.44 tff(146,plain,
% 0.13/0.44 (greater_or_equal(position(sk1, sk3), position(sk1, sk2))),
% 0.13/0.44 inference(unit_resolution,[status(thm)],[145, 142, 135])).
% 0.13/0.44 tff(147,plain,
% 0.13/0.44 ((~smaller(hazard_of_mortality(sk1, sk3), hazard_of_mortality(sk1, sk2))) <=> (~smaller(hazard_of_mortality(sk1, sk3), hazard_of_mortality(sk1, sk2)))),
% 0.13/0.44 inference(rewrite,[status(thm)],[])).
% 0.13/0.44 tff(148,axiom,(~smaller(hazard_of_mortality(sk1, sk3), hazard_of_mortality(sk1, sk2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','theorem_1_56')).
% 0.13/0.44 tff(149,plain,
% 0.13/0.44 (~smaller(hazard_of_mortality(sk1, sk3), hazard_of_mortality(sk1, sk2))),
% 0.13/0.44 inference(modus_ponens,[status(thm)],[148, 147])).
% 0.13/0.44 tff(150,plain,
% 0.13/0.44 (^[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))))),
% 0.13/0.44 inference(bind,[status(th)],[])).
% 0.13/0.44 tff(151,plain,
% 0.13/0.44 (![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)))),
% 0.13/0.44 inference(quant_intro,[status(thm)],[150])).
% 0.13/0.44 tff(152,plain,
% 0.13/0.44 (![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)))),
% 0.13/0.44 inference(rewrite,[status(thm)],[])).
% 0.13/0.44 tff(153,plain,
% 0.13/0.44 (^[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)))))),
% 0.13/0.44 inference(bind,[status(th)],[])).
% 0.13/0.44 tff(154,plain,
% 0.13/0.44 (![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)))),
% 0.13/0.44 inference(quant_intro,[status(thm)],[153])).
% 0.13/0.44 tff(155,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')).
% 0.13/0.44 tff(156,plain,
% 0.13/0.44 (![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)))),
% 0.13/0.44 inference(modus_ponens,[status(thm)],[155, 154])).
% 0.13/0.44 tff(157,plain,
% 0.13/0.44 (![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)))),
% 0.13/0.44 inference(modus_ponens,[status(thm)],[156, 152])).
% 0.13/0.44 tff(158,plain,(
% 0.13/0.44 ![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)))),
% 0.13/0.44 inference(skolemize,[status(sab)],[157])).
% 0.13/0.44 tff(159,plain,
% 0.13/0.44 (![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)))),
% 0.13/0.44 inference(modus_ponens,[status(thm)],[158, 151])).
% 0.13/0.44 tff(160,plain,
% 0.13/0.44 (((~![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, sk3), hazard_of_mortality(sk1, sk2)) | has_immunity(sk1, sk3) | (~organization(sk1)) | (~greater_or_equal(position(sk1, sk3), position(sk1, sk2))) | (~greater(capability(sk1, sk3), capability(sk1, sk2))) | has_immunity(sk1, sk2))) <=> ((~![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, sk3), hazard_of_mortality(sk1, sk2)) | has_immunity(sk1, sk3) | (~organization(sk1)) | (~greater_or_equal(position(sk1, sk3), position(sk1, sk2))) | (~greater(capability(sk1, sk3), capability(sk1, sk2))) | has_immunity(sk1, sk2))),
% 0.13/0.44 inference(rewrite,[status(thm)],[])).
% 0.13/0.44 tff(161,plain,
% 0.13/0.44 ((smaller(hazard_of_mortality(sk1, sk3), hazard_of_mortality(sk1, sk2)) | (~greater_or_equal(position(sk1, sk3), position(sk1, sk2))) | (~greater(capability(sk1, sk3), capability(sk1, sk2))) | has_immunity(sk1, sk3) | has_immunity(sk1, sk2) | (~organization(sk1))) <=> (smaller(hazard_of_mortality(sk1, sk3), hazard_of_mortality(sk1, sk2)) | has_immunity(sk1, sk3) | (~organization(sk1)) | (~greater_or_equal(position(sk1, sk3), position(sk1, sk2))) | (~greater(capability(sk1, sk3), capability(sk1, sk2))) | has_immunity(sk1, sk2))),
% 0.13/0.44 inference(rewrite,[status(thm)],[])).
% 0.13/0.44 tff(162,plain,
% 0.13/0.44 (((~![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, sk3), hazard_of_mortality(sk1, sk2)) | (~greater_or_equal(position(sk1, sk3), position(sk1, sk2))) | (~greater(capability(sk1, sk3), capability(sk1, sk2))) | has_immunity(sk1, sk3) | has_immunity(sk1, sk2) | (~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, sk3), hazard_of_mortality(sk1, sk2)) | has_immunity(sk1, sk3) | (~organization(sk1)) | (~greater_or_equal(position(sk1, sk3), position(sk1, sk2))) | (~greater(capability(sk1, sk3), capability(sk1, sk2))) | has_immunity(sk1, sk2)))),
% 0.13/0.44 inference(monotonicity,[status(thm)],[161])).
% 0.13/0.44 tff(163,plain,
% 0.13/0.44 (((~![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, sk3), hazard_of_mortality(sk1, sk2)) | (~greater_or_equal(position(sk1, sk3), position(sk1, sk2))) | (~greater(capability(sk1, sk3), capability(sk1, sk2))) | has_immunity(sk1, sk3) | has_immunity(sk1, sk2) | (~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, sk3), hazard_of_mortality(sk1, sk2)) | has_immunity(sk1, sk3) | (~organization(sk1)) | (~greater_or_equal(position(sk1, sk3), position(sk1, sk2))) | (~greater(capability(sk1, sk3), capability(sk1, sk2))) | has_immunity(sk1, sk2))),
% 0.13/0.44 inference(transitivity,[status(thm)],[162, 160])).
% 0.13/0.44 tff(164,plain,
% 0.13/0.44 ((~![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, sk3), hazard_of_mortality(sk1, sk2)) | (~greater_or_equal(position(sk1, sk3), position(sk1, sk2))) | (~greater(capability(sk1, sk3), capability(sk1, sk2))) | has_immunity(sk1, sk3) | has_immunity(sk1, sk2) | (~organization(sk1)))),
% 0.13/0.44 inference(quant_inst,[status(thm)],[])).
% 0.13/0.44 tff(165,plain,
% 0.13/0.44 ((~![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, sk3), hazard_of_mortality(sk1, sk2)) | has_immunity(sk1, sk3) | (~organization(sk1)) | (~greater_or_equal(position(sk1, sk3), position(sk1, sk2))) | (~greater(capability(sk1, sk3), capability(sk1, sk2))) | has_immunity(sk1, sk2)),
% 0.13/0.44 inference(modus_ponens,[status(thm)],[164, 163])).
% 0.13/0.44 tff(166,plain,
% 0.13/0.44 (has_immunity(sk1, sk3) | (~greater_or_equal(position(sk1, sk3), position(sk1, sk2))) | (~greater(capability(sk1, sk3), capability(sk1, sk2))) | has_immunity(sk1, sk2)),
% 0.13/0.44 inference(unit_resolution,[status(thm)],[165, 159, 7, 149])).
% 0.13/0.44 tff(167,plain,
% 0.13/0.44 (has_immunity(sk1, sk3) | (~greater(capability(sk1, sk3), capability(sk1, sk2))) | has_immunity(sk1, sk2)),
% 0.13/0.44 inference(unit_resolution,[status(thm)],[166, 146])).
% 0.13/0.44 tff(168,plain,
% 0.13/0.44 (has_immunity(sk1, sk3) | has_immunity(sk1, sk2)),
% 0.13/0.44 inference(unit_resolution,[status(thm)],[167, 97])).
% 0.13/0.44 tff(169,plain,
% 0.13/0.44 (has_immunity(sk1, sk2)),
% 0.13/0.44 inference(unit_resolution,[status(thm)],[168, 25])).
% 0.13/0.44 tff(170,plain,
% 0.13/0.44 (((~![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)))),
% 0.13/0.44 inference(rewrite,[status(thm)],[])).
% 0.13/0.44 tff(171,plain,
% 0.13/0.44 (((~has_immunity(sk1, sk2)) | has_endowment(sk1) | (~organization(sk1))) <=> (has_endowment(sk1) | (~organization(sk1)) | (~has_immunity(sk1, sk2)))),
% 0.13/0.44 inference(rewrite,[status(thm)],[])).
% 0.13/0.44 tff(172,plain,
% 0.13/0.44 (((~![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))))),
% 0.13/0.45 inference(monotonicity,[status(thm)],[171])).
% 0.13/0.45 tff(173,plain,
% 0.13/0.45 (((~![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)))),
% 0.13/0.45 inference(transitivity,[status(thm)],[172, 170])).
% 0.13/0.45 tff(174,plain,
% 0.13/0.45 ((~![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))) | ((~has_immunity(sk1, sk2)) | has_endowment(sk1) | (~organization(sk1)))),
% 0.13/0.45 inference(quant_inst,[status(thm)],[])).
% 0.13/0.45 tff(175,plain,
% 0.13/0.45 ((~![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))) | has_endowment(sk1) | (~organization(sk1)) | (~has_immunity(sk1, sk2))),
% 0.13/0.45 inference(modus_ponens,[status(thm)],[174, 173])).
% 0.13/0.45 tff(176,plain,
% 0.13/0.45 ($false),
% 0.13/0.45 inference(unit_resolution,[status(thm)],[175, 17, 7, 4, 169])).
% 0.13/0.45 % SZS output end Proof
% 0.13/0.45 % E exiting
%------------------------------------------------------------------------------