%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : MGT042-1 : TPTP v9.3.0. Released v2.4.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : run_E %s %d THM
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 8 06:24:05 AM UTC 2026
% Result : Unsatisfiable 0.13s 0.41s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT042-1 : TPTP v9.3.0. Released v2.4.0.
% 0.00/0.02 % Command : run_E %s %d THM
% 0.07/0.34 % Computer : n002.cluster.edu
% 0.07/0.34 % Model : x86_64 x86_64
% 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34 % Memory : 8046.5625MB
% 0.07/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/0.34 % CPULimit : 300
% 0.07/0.34 % WCLimit : 300
% 0.07/0.34 % DateTime : Mon Sep 7 13:07:54 UTC 2026
% 0.07/0.34 % CPUTime :
% 0.13/0.41 % SZS status Unsatisfiable
% 0.13/0.41 % SZS output start Proof
% 0.13/0.41 tff(greater_or_equal_type, type, (
% 0.13/0.41 greater_or_equal: ( $i * $i ) > $o)).
% 0.13/0.41 tff(capability_type, type, (
% 0.13/0.41 capability: ( $i * $i ) > $i)).
% 0.13/0.41 tff(sk2_type, type, (
% 0.13/0.41 sk2: $i)).
% 0.13/0.41 tff(sk1_type, type, (
% 0.13/0.41 sk1: $i)).
% 0.13/0.41 tff(sk3_type, type, (
% 0.13/0.41 sk3: $i)).
% 0.13/0.41 tff(stock_of_knowledge_type, type, (
% 0.13/0.41 stock_of_knowledge: ( $i * $i ) > $i)).
% 0.13/0.41 tff(greater_type, type, (
% 0.13/0.41 greater: ( $i * $i ) > $o)).
% 0.13/0.41 tff(position_type, type, (
% 0.13/0.41 position: ( $i * $i ) > $i)).
% 0.13/0.41 tff(external_ties_type, type, (
% 0.13/0.41 external_ties: ( $i * $i ) > $i)).
% 0.13/0.41 tff(organization_type, type, (
% 0.13/0.41 organization: $i > $o)).
% 0.13/0.41 tff(smaller_or_equal_type, type, (
% 0.13/0.41 smaller_or_equal: ( $i * $i ) > $o)).
% 0.13/0.41 tff(internal_friction_type, type, (
% 0.13/0.41 internal_friction: ( $i * $i ) > $i)).
% 0.13/0.41 tff(smaller_type, type, (
% 0.13/0.41 smaller: ( $i * $i ) > $o)).
% 0.13/0.41 tff(hazard_of_mortality_type, type, (
% 0.13/0.41 hazard_of_mortality: ( $i * $i ) > $i)).
% 0.13/0.41 tff(has_immunity_type, type, (
% 0.13/0.41 has_immunity: ( $i * $i ) > $o)).
% 0.13/0.41 tff(1,assumption,(~greater(external_ties(sk1, sk3), external_ties(sk1, sk2))), introduced(assumption)).
% 0.13/0.41 tff(2,assumption,(~greater_or_equal(external_ties(sk1, sk3), external_ties(sk1, sk2))), introduced(assumption)).
% 0.13/0.41 tff(3,plain,
% 0.13/0.41 ((greater(external_ties(sk1, sk3), external_ties(sk1, sk2)) | greater_or_equal(external_ties(sk1, sk3), external_ties(sk1, sk2))) <=> (greater(external_ties(sk1, sk3), external_ties(sk1, sk2)) | greater_or_equal(external_ties(sk1, sk3), external_ties(sk1, sk2)))),
% 0.13/0.41 inference(rewrite,[status(thm)],[])).
% 0.13/0.41 tff(4,plain,
% 0.13/0.41 ((greater_or_equal(external_ties(sk1, sk3), external_ties(sk1, sk2)) | greater(external_ties(sk1, sk3), external_ties(sk1, sk2))) <=> (greater(external_ties(sk1, sk3), external_ties(sk1, sk2)) | greater_or_equal(external_ties(sk1, sk3), external_ties(sk1, sk2)))),
% 0.13/0.41 inference(rewrite,[status(thm)],[])).
% 0.13/0.41 tff(5,axiom,(greater_or_equal(external_ties(sk1, sk3), external_ties(sk1, sk2)) | greater(external_ties(sk1, sk3), external_ties(sk1, sk2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','lemma_1_57')).
% 0.13/0.41 tff(6,plain,
% 0.13/0.41 (greater(external_ties(sk1, sk3), external_ties(sk1, sk2)) | greater_or_equal(external_ties(sk1, sk3), external_ties(sk1, sk2))),
% 0.13/0.41 inference(modus_ponens,[status(thm)],[5, 4])).
% 0.13/0.41 tff(7,plain,
% 0.13/0.41 (greater(external_ties(sk1, sk3), external_ties(sk1, sk2)) | greater_or_equal(external_ties(sk1, sk3), external_ties(sk1, sk2))),
% 0.13/0.41 inference(modus_ponens,[status(thm)],[6, 3])).
% 0.13/0.41 tff(8,plain,
% 0.13/0.41 (greater(external_ties(sk1, sk3), external_ties(sk1, sk2))),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[7, 2])).
% 0.13/0.41 tff(9,plain,
% 0.13/0.41 (^[B: $i, A: $i] : refl(((~greater(A, B)) | greater_or_equal(A, B)) <=> ((~greater(A, B)) | greater_or_equal(A, B)))),
% 0.13/0.41 inference(bind,[status(th)],[])).
% 0.13/0.41 tff(10,plain,
% 0.13/0.41 (![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B)) <=> ![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))),
% 0.13/0.41 inference(quant_intro,[status(thm)],[9])).
% 0.13/0.41 tff(11,plain,
% 0.13/0.41 (![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B)) <=> ![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))),
% 0.13/0.41 inference(rewrite,[status(thm)],[])).
% 0.13/0.41 tff(12,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')).
% 0.13/0.41 tff(13,plain,
% 0.13/0.41 (![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))),
% 0.13/0.41 inference(modus_ponens,[status(thm)],[12, 11])).
% 0.13/0.41 tff(14,plain,(
% 0.13/0.41 ![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))),
% 0.13/0.41 inference(skolemize,[status(sab)],[13])).
% 0.13/0.41 tff(15,plain,
% 0.13/0.41 (![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))),
% 0.13/0.41 inference(modus_ponens,[status(thm)],[14, 10])).
% 0.13/0.41 tff(16,plain,
% 0.13/0.41 (((~![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))) | ((~greater(external_ties(sk1, sk3), external_ties(sk1, sk2))) | greater_or_equal(external_ties(sk1, sk3), external_ties(sk1, sk2)))) <=> ((~![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))) | (~greater(external_ties(sk1, sk3), external_ties(sk1, sk2))) | greater_or_equal(external_ties(sk1, sk3), external_ties(sk1, sk2)))),
% 0.13/0.42 inference(rewrite,[status(thm)],[])).
% 0.13/0.42 tff(17,plain,
% 0.13/0.42 ((~![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))) | ((~greater(external_ties(sk1, sk3), external_ties(sk1, sk2))) | greater_or_equal(external_ties(sk1, sk3), external_ties(sk1, sk2)))),
% 0.13/0.42 inference(quant_inst,[status(thm)],[])).
% 0.13/0.42 tff(18,plain,
% 0.13/0.42 ((~![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))) | (~greater(external_ties(sk1, sk3), external_ties(sk1, sk2))) | greater_or_equal(external_ties(sk1, sk3), external_ties(sk1, sk2))),
% 0.13/0.42 inference(modus_ponens,[status(thm)],[17, 16])).
% 0.13/0.42 tff(19,plain,
% 0.13/0.42 ($false),
% 0.13/0.42 inference(unit_resolution,[status(thm)],[18, 15, 8, 2])).
% 0.13/0.42 tff(20,plain,(greater_or_equal(external_ties(sk1, sk3), external_ties(sk1, sk2))), inference(lemma,lemma(discharge,[]))).
% 0.13/0.42 tff(21,plain,
% 0.13/0.42 (^[B: $i, A: $i] : refl(((A = B) | greater(A, B) | (~greater_or_equal(A, B))) <=> ((A = B) | greater(A, B) | (~greater_or_equal(A, B))))),
% 0.13/0.42 inference(bind,[status(th)],[])).
% 0.13/0.42 tff(22,plain,
% 0.13/0.42 (![B: $i, A: $i] : ((A = B) | greater(A, B) | (~greater_or_equal(A, B))) <=> ![B: $i, A: $i] : ((A = B) | greater(A, B) | (~greater_or_equal(A, B)))),
% 0.13/0.42 inference(quant_intro,[status(thm)],[21])).
% 0.13/0.42 tff(23,plain,
% 0.13/0.42 (![B: $i, A: $i] : ((A = B) | greater(A, B) | (~greater_or_equal(A, B))) <=> ![B: $i, A: $i] : ((A = B) | greater(A, B) | (~greater_or_equal(A, B)))),
% 0.13/0.42 inference(rewrite,[status(thm)],[])).
% 0.13/0.42 tff(24,plain,
% 0.13/0.42 (^[B: $i, A: $i] : rewrite((((~greater_or_equal(A, B)) | greater(A, B)) | (A = B)) <=> ((A = B) | greater(A, B) | (~greater_or_equal(A, B))))),
% 0.13/0.42 inference(bind,[status(th)],[])).
% 0.13/0.42 tff(25,plain,
% 0.13/0.42 (![B: $i, A: $i] : (((~greater_or_equal(A, B)) | greater(A, B)) | (A = B)) <=> ![B: $i, A: $i] : ((A = B) | greater(A, B) | (~greater_or_equal(A, B)))),
% 0.13/0.42 inference(quant_intro,[status(thm)],[24])).
% 0.13/0.42 tff(26,axiom,(![B: $i, A: $i] : (((~greater_or_equal(A, B)) | greater(A, B)) | (A = B))), file('/export/starexec/sandbox/benchmark/Axioms/MGT001-0.ax','definition_greater_or_equal_4')).
% 0.13/0.42 tff(27,plain,
% 0.13/0.42 (![B: $i, A: $i] : ((A = B) | greater(A, B) | (~greater_or_equal(A, B)))),
% 0.13/0.42 inference(modus_ponens,[status(thm)],[26, 25])).
% 0.13/0.42 tff(28,plain,
% 0.13/0.42 (![B: $i, A: $i] : ((A = B) | greater(A, B) | (~greater_or_equal(A, B)))),
% 0.13/0.42 inference(modus_ponens,[status(thm)],[27, 23])).
% 0.13/0.42 tff(29,plain,(
% 0.13/0.42 ![B: $i, A: $i] : ((A = B) | greater(A, B) | (~greater_or_equal(A, B)))),
% 0.13/0.42 inference(skolemize,[status(sab)],[28])).
% 0.13/0.42 tff(30,plain,
% 0.13/0.42 (![B: $i, A: $i] : ((A = B) | greater(A, B) | (~greater_or_equal(A, B)))),
% 0.13/0.42 inference(modus_ponens,[status(thm)],[29, 22])).
% 0.13/0.42 tff(31,plain,
% 0.13/0.42 (((~![B: $i, A: $i] : ((A = B) | greater(A, B) | (~greater_or_equal(A, B)))) | (greater(external_ties(sk1, sk3), external_ties(sk1, sk2)) | (external_ties(sk1, sk3) = external_ties(sk1, sk2)) | (~greater_or_equal(external_ties(sk1, sk3), external_ties(sk1, sk2))))) <=> ((~![B: $i, A: $i] : ((A = B) | greater(A, B) | (~greater_or_equal(A, B)))) | greater(external_ties(sk1, sk3), external_ties(sk1, sk2)) | (external_ties(sk1, sk3) = external_ties(sk1, sk2)) | (~greater_or_equal(external_ties(sk1, sk3), external_ties(sk1, sk2))))),
% 0.13/0.42 inference(rewrite,[status(thm)],[])).
% 0.13/0.42 tff(32,plain,
% 0.13/0.42 (((external_ties(sk1, sk3) = external_ties(sk1, sk2)) | greater(external_ties(sk1, sk3), external_ties(sk1, sk2)) | (~greater_or_equal(external_ties(sk1, sk3), external_ties(sk1, sk2)))) <=> (greater(external_ties(sk1, sk3), external_ties(sk1, sk2)) | (external_ties(sk1, sk3) = external_ties(sk1, sk2)) | (~greater_or_equal(external_ties(sk1, sk3), external_ties(sk1, sk2))))),
% 0.13/0.42 inference(rewrite,[status(thm)],[])).
% 0.13/0.42 tff(33,plain,
% 0.13/0.42 (((~![B: $i, A: $i] : ((A = B) | greater(A, B) | (~greater_or_equal(A, B)))) | ((external_ties(sk1, sk3) = external_ties(sk1, sk2)) | greater(external_ties(sk1, sk3), external_ties(sk1, sk2)) | (~greater_or_equal(external_ties(sk1, sk3), external_ties(sk1, sk2))))) <=> ((~![B: $i, A: $i] : ((A = B) | greater(A, B) | (~greater_or_equal(A, B)))) | (greater(external_ties(sk1, sk3), external_ties(sk1, sk2)) | (external_ties(sk1, sk3) = external_ties(sk1, sk2)) | (~greater_or_equal(external_ties(sk1, sk3), external_ties(sk1, sk2)))))),
% 0.13/0.42 inference(monotonicity,[status(thm)],[32])).
% 0.13/0.42 tff(34,plain,
% 0.13/0.42 (((~![B: $i, A: $i] : ((A = B) | greater(A, B) | (~greater_or_equal(A, B)))) | ((external_ties(sk1, sk3) = external_ties(sk1, sk2)) | greater(external_ties(sk1, sk3), external_ties(sk1, sk2)) | (~greater_or_equal(external_ties(sk1, sk3), external_ties(sk1, sk2))))) <=> ((~![B: $i, A: $i] : ((A = B) | greater(A, B) | (~greater_or_equal(A, B)))) | greater(external_ties(sk1, sk3), external_ties(sk1, sk2)) | (external_ties(sk1, sk3) = external_ties(sk1, sk2)) | (~greater_or_equal(external_ties(sk1, sk3), external_ties(sk1, sk2))))),
% 0.13/0.42 inference(transitivity,[status(thm)],[33, 31])).
% 0.13/0.42 tff(35,plain,
% 0.13/0.42 ((~![B: $i, A: $i] : ((A = B) | greater(A, B) | (~greater_or_equal(A, B)))) | ((external_ties(sk1, sk3) = external_ties(sk1, sk2)) | greater(external_ties(sk1, sk3), external_ties(sk1, sk2)) | (~greater_or_equal(external_ties(sk1, sk3), external_ties(sk1, sk2))))),
% 0.13/0.42 inference(quant_inst,[status(thm)],[])).
% 0.13/0.42 tff(36,plain,
% 0.13/0.42 ((~![B: $i, A: $i] : ((A = B) | greater(A, B) | (~greater_or_equal(A, B)))) | greater(external_ties(sk1, sk3), external_ties(sk1, sk2)) | (external_ties(sk1, sk3) = external_ties(sk1, sk2)) | (~greater_or_equal(external_ties(sk1, sk3), external_ties(sk1, sk2)))),
% 0.13/0.42 inference(modus_ponens,[status(thm)],[35, 34])).
% 0.13/0.42 tff(37,plain,
% 0.13/0.42 (greater(external_ties(sk1, sk3), external_ties(sk1, sk2)) | (external_ties(sk1, sk3) = external_ties(sk1, sk2))),
% 0.13/0.42 inference(unit_resolution,[status(thm)],[36, 30, 20])).
% 0.13/0.42 tff(38,plain,
% 0.13/0.42 (external_ties(sk1, sk3) = external_ties(sk1, sk2)),
% 0.13/0.42 inference(unit_resolution,[status(thm)],[37, 1])).
% 0.13/0.42 tff(39,plain,
% 0.13/0.42 (external_ties(sk1, sk2) = external_ties(sk1, sk3)),
% 0.13/0.42 inference(symmetry,[status(thm)],[38])).
% 0.13/0.42 tff(40,plain,
% 0.13/0.42 (organization(sk1) <=> organization(sk1)),
% 0.13/0.42 inference(rewrite,[status(thm)],[])).
% 0.13/0.42 tff(41,axiom,(organization(sk1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','lemma_1_46')).
% 0.13/0.42 tff(42,plain,
% 0.13/0.42 (organization(sk1)),
% 0.13/0.42 inference(modus_ponens,[status(thm)],[41, 40])).
% 0.13/0.42 tff(43,plain,
% 0.13/0.42 (^[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)))))),
% 0.13/0.42 inference(bind,[status(th)],[])).
% 0.13/0.42 tff(44,plain,
% 0.13/0.42 (![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))))),
% 0.13/0.42 inference(quant_intro,[status(thm)],[43])).
% 0.13/0.42 tff(45,plain,
% 0.13/0.42 (![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))))),
% 0.13/0.42 inference(rewrite,[status(thm)],[])).
% 0.13/0.42 tff(46,plain,
% 0.13/0.42 (^[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)))))),
% 0.13/0.42 inference(bind,[status(th)],[])).
% 0.13/0.42 tff(47,plain,
% 0.13/0.42 (![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))))),
% 0.13/0.42 inference(quant_intro,[status(thm)],[46])).
% 0.13/0.42 tff(48,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_45')).
% 0.13/0.42 tff(49,plain,
% 0.13/0.42 (![B: $i, A: $i, C: $i] : ((~organization(A)) | (position(A, B) = position(A, C)) | (~(external_ties(A, B) = external_ties(A, C))))),
% 0.13/0.42 inference(modus_ponens,[status(thm)],[48, 47])).
% 0.13/0.42 tff(50,plain,
% 0.13/0.42 (![B: $i, A: $i, C: $i] : ((~organization(A)) | (position(A, B) = position(A, C)) | (~(external_ties(A, B) = external_ties(A, C))))),
% 0.13/0.42 inference(modus_ponens,[status(thm)],[49, 45])).
% 0.13/0.42 tff(51,plain,(
% 0.13/0.42 ![B: $i, A: $i, C: $i] : ((~organization(A)) | (position(A, B) = position(A, C)) | (~(external_ties(A, B) = external_ties(A, C))))),
% 0.13/0.42 inference(skolemize,[status(sab)],[50])).
% 0.13/0.42 tff(52,plain,
% 0.13/0.42 (![B: $i, A: $i, C: $i] : ((~organization(A)) | (position(A, B) = position(A, C)) | (~(external_ties(A, B) = external_ties(A, C))))),
% 0.13/0.42 inference(modus_ponens,[status(thm)],[51, 44])).
% 0.13/0.42 tff(53,plain,
% 0.13/0.42 (((~![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, sk2) = position(sk1, sk3)) | (~(external_ties(sk1, sk2) = external_ties(sk1, sk3))))) <=> ((~![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, sk2) = position(sk1, sk3)) | (~(external_ties(sk1, sk2) = external_ties(sk1, sk3))))),
% 0.13/0.42 inference(rewrite,[status(thm)],[])).
% 0.13/0.42 tff(54,plain,
% 0.13/0.42 ((~![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, sk2) = position(sk1, sk3)) | (~(external_ties(sk1, sk2) = external_ties(sk1, sk3))))),
% 0.13/0.42 inference(quant_inst,[status(thm)],[])).
% 0.13/0.42 tff(55,plain,
% 0.13/0.42 ((~![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, sk2) = position(sk1, sk3)) | (~(external_ties(sk1, sk2) = external_ties(sk1, sk3)))),
% 0.13/0.42 inference(modus_ponens,[status(thm)],[54, 53])).
% 0.13/0.42 tff(56,plain,
% 0.13/0.42 (position(sk1, sk2) = position(sk1, sk3)),
% 0.13/0.42 inference(unit_resolution,[status(thm)],[55, 52, 42, 39])).
% 0.13/0.42 tff(57,plain,
% 0.13/0.42 (greater_or_equal(position(sk1, sk2), position(sk1, sk2)) <=> greater_or_equal(position(sk1, sk3), position(sk1, sk3))),
% 0.13/0.42 inference(monotonicity,[status(thm)],[56, 56])).
% 0.13/0.42 tff(58,plain,
% 0.13/0.42 (greater_or_equal(position(sk1, sk3), position(sk1, sk3)) <=> greater_or_equal(position(sk1, sk2), position(sk1, sk2))),
% 0.13/0.42 inference(symmetry,[status(thm)],[57])).
% 0.13/0.42 tff(59,plain,
% 0.13/0.42 ((~greater_or_equal(position(sk1, sk3), position(sk1, sk3))) <=> (~greater_or_equal(position(sk1, sk2), position(sk1, sk2)))),
% 0.13/0.42 inference(monotonicity,[status(thm)],[58])).
% 0.13/0.42 tff(60,plain,
% 0.13/0.42 (greater_or_equal(position(sk1, sk3), position(sk1, sk2)) <=> greater_or_equal(position(sk1, sk3), position(sk1, sk3))),
% 0.13/0.42 inference(monotonicity,[status(thm)],[56])).
% 0.13/0.42 tff(61,plain,
% 0.13/0.42 ((~greater_or_equal(position(sk1, sk3), position(sk1, sk2))) <=> (~greater_or_equal(position(sk1, sk3), position(sk1, sk3)))),
% 0.13/0.42 inference(monotonicity,[status(thm)],[60])).
% 0.13/0.42 tff(62,plain,
% 0.13/0.42 ((greater(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2)) | greater(external_ties(sk1, sk3), external_ties(sk1, sk2))) <=> (greater(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2)) | greater(external_ties(sk1, sk3), external_ties(sk1, sk2)))),
% 0.13/0.42 inference(rewrite,[status(thm)],[])).
% 0.13/0.42 tff(63,axiom,(greater(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2)) | greater(external_ties(sk1, sk3), external_ties(sk1, sk2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','lemma_1_51')).
% 0.13/0.42 tff(64,plain,
% 0.13/0.42 (greater(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2)) | greater(external_ties(sk1, sk3), external_ties(sk1, sk2))),
% 0.13/0.42 inference(modus_ponens,[status(thm)],[63, 62])).
% 0.13/0.42 tff(65,plain,
% 0.13/0.42 (greater(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2)) | greater(external_ties(sk1, sk3), external_ties(sk1, sk2))),
% 0.13/0.42 inference(modus_ponens,[status(thm)],[64, 62])).
% 0.13/0.42 tff(66,plain,
% 0.13/0.42 (greater(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2)) | greater(external_ties(sk1, sk3), external_ties(sk1, sk2))),
% 0.13/0.42 inference(modus_ponens,[status(thm)],[65, 62])).
% 0.13/0.42 tff(67,plain,
% 0.13/0.42 (greater(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2)) | greater(external_ties(sk1, sk3), external_ties(sk1, sk2))),
% 0.13/0.42 inference(modus_ponens,[status(thm)],[66, 62])).
% 0.13/0.42 tff(68,plain,
% 0.13/0.42 (greater(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2)) | greater(external_ties(sk1, sk3), external_ties(sk1, sk2))),
% 0.13/0.42 inference(modus_ponens,[status(thm)],[67, 62])).
% 0.13/0.42 tff(69,plain,
% 0.13/0.42 (greater(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2))),
% 0.13/0.42 inference(unit_resolution,[status(thm)],[68, 1])).
% 0.13/0.42 tff(70,assumption,(greater_or_equal(position(sk1, sk3), position(sk1, sk2))), introduced(assumption)).
% 0.13/0.42 tff(71,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, sk2))),
% 0.13/0.42 inference(rewrite,[status(thm)],[])).
% 0.13/0.42 tff(72,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, sk2))) <=> smaller_or_equal(internal_friction(sk1, sk3), internal_friction(sk1, sk2))),
% 0.13/0.42 inference(rewrite,[status(thm)],[])).
% 0.13/0.42 tff(73,axiom,(smaller_or_equal(internal_friction(sk1, sk3), internal_friction(sk1, sk2)) | smaller_or_equal(internal_friction(sk1, sk3), internal_friction(sk1, sk2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','lemma_1_54')).
% 0.13/0.42 tff(74,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)],[73, 72])).
% 0.13/0.42 tff(75,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)],[74, 71])).
% 0.13/0.42 tff(76,assumption,(greater(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2))), introduced(assumption)).
% 0.13/0.42 tff(77,plain,
% 0.13/0.42 (^[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)))))),
% 0.13/0.42 inference(bind,[status(th)],[])).
% 0.13/0.42 tff(78,plain,
% 0.13/0.42 (![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))))),
% 0.13/0.42 inference(quant_intro,[status(thm)],[77])).
% 0.13/0.42 tff(79,plain,
% 0.13/0.42 (![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))))),
% 0.13/0.42 inference(rewrite,[status(thm)],[])).
% 0.13/0.42 tff(80,plain,
% 0.13/0.42 (^[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))))))),
% 0.13/0.42 inference(bind,[status(th)],[])).
% 0.13/0.42 tff(81,plain,
% 0.13/0.42 (![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))))),
% 0.13/0.42 inference(quant_intro,[status(thm)],[80])).
% 0.13/0.42 tff(82,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_41')).
% 0.13/0.42 tff(83,plain,
% 0.13/0.42 (![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))))),
% 0.13/0.42 inference(modus_ponens,[status(thm)],[82, 81])).
% 0.13/0.42 tff(84,plain,
% 0.13/0.42 (![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))))),
% 0.13/0.42 inference(modus_ponens,[status(thm)],[83, 79])).
% 0.13/0.42 tff(85,plain,(
% 0.13/0.42 ![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))))),
% 0.13/0.42 inference(skolemize,[status(sab)],[84])).
% 0.13/0.42 tff(86,plain,
% 0.13/0.42 (![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))))),
% 0.13/0.42 inference(modus_ponens,[status(thm)],[85, 78])).
% 0.13/0.42 tff(87,plain,
% 0.13/0.42 (((~![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))))) | ((~smaller_or_equal(internal_friction(sk1, sk3), internal_friction(sk1, sk2))) | (~organization(sk1)) | greater(capability(sk1, sk3), capability(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))))) | (~smaller_or_equal(internal_friction(sk1, sk3), internal_friction(sk1, sk2))) | (~organization(sk1)) | greater(capability(sk1, sk3), capability(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(88,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)))) <=> ((~smaller_or_equal(internal_friction(sk1, sk3), internal_friction(sk1, sk2))) | (~organization(sk1)) | greater(capability(sk1, sk3), capability(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(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))))) | (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))))) | ((~smaller_or_equal(internal_friction(sk1, sk3), internal_friction(sk1, sk2))) | (~organization(sk1)) | greater(capability(sk1, sk3), capability(sk1, sk2)) | (~greater(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2)))))),
% 0.13/0.43 inference(monotonicity,[status(thm)],[88])).
% 0.13/0.43 tff(90,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))))) | (~smaller_or_equal(internal_friction(sk1, sk3), internal_friction(sk1, sk2))) | (~organization(sk1)) | greater(capability(sk1, sk3), capability(sk1, sk2)) | (~greater(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2))))),
% 0.13/0.43 inference(transitivity,[status(thm)],[89, 87])).
% 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))))),
% 0.13/0.43 inference(quant_inst,[status(thm)],[])).
% 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))))) | (~smaller_or_equal(internal_friction(sk1, sk3), internal_friction(sk1, sk2))) | (~organization(sk1)) | greater(capability(sk1, sk3), capability(sk1, sk2)) | (~greater(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2)))),
% 0.13/0.43 inference(modus_ponens,[status(thm)],[91, 90])).
% 0.13/0.43 tff(93,plain,
% 0.13/0.43 (greater(capability(sk1, sk3), capability(sk1, sk2))),
% 0.13/0.43 inference(unit_resolution,[status(thm)],[92, 86, 42, 76, 75])).
% 0.13/0.43 tff(94,plain,
% 0.13/0.43 ((~smaller(hazard_of_mortality(sk1, sk3), hazard_of_mortality(sk1, sk2))) <=> (~smaller(hazard_of_mortality(sk1, sk3), hazard_of_mortality(sk1, sk2)))),
% 0.13/0.43 inference(rewrite,[status(thm)],[])).
% 0.13/0.43 tff(95,plain,
% 0.13/0.43 (((~smaller(hazard_of_mortality(sk1, sk3), hazard_of_mortality(sk1, sk2))) | (~smaller(hazard_of_mortality(sk1, sk3), hazard_of_mortality(sk1, sk2)))) <=> (~smaller(hazard_of_mortality(sk1, sk3), hazard_of_mortality(sk1, sk2)))),
% 0.13/0.43 inference(rewrite,[status(thm)],[])).
% 0.13/0.43 tff(96,axiom,((~smaller(hazard_of_mortality(sk1, sk3), hazard_of_mortality(sk1, sk2))) | (~smaller(hazard_of_mortality(sk1, sk3), hazard_of_mortality(sk1, sk2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','lemma_1_64')).
% 0.13/0.43 tff(97,plain,
% 0.13/0.43 (~smaller(hazard_of_mortality(sk1, sk3), hazard_of_mortality(sk1, sk2))),
% 0.13/0.43 inference(modus_ponens,[status(thm)],[96, 95])).
% 0.13/0.43 tff(98,plain,
% 0.13/0.43 (~smaller(hazard_of_mortality(sk1, sk3), hazard_of_mortality(sk1, sk2))),
% 0.13/0.43 inference(modus_ponens,[status(thm)],[97, 94])).
% 0.13/0.43 tff(99,plain,
% 0.13/0.43 ((~has_immunity(sk1, sk3)) <=> (~has_immunity(sk1, sk3))),
% 0.13/0.43 inference(rewrite,[status(thm)],[])).
% 0.13/0.43 tff(100,axiom,(~has_immunity(sk1, sk3)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','lemma_1_48')).
% 0.13/0.43 tff(101,plain,
% 0.13/0.43 (~has_immunity(sk1, sk3)),
% 0.13/0.43 inference(modus_ponens,[status(thm)],[100, 99])).
% 0.13/0.43 tff(102,plain,
% 0.13/0.43 ((~has_immunity(sk1, sk2)) <=> (~has_immunity(sk1, sk2))),
% 0.13/0.43 inference(rewrite,[status(thm)],[])).
% 0.13/0.43 tff(103,axiom,(~has_immunity(sk1, sk2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','lemma_1_47')).
% 0.13/0.43 tff(104,plain,
% 0.13/0.43 (~has_immunity(sk1, sk2)),
% 0.13/0.43 inference(modus_ponens,[status(thm)],[103, 102])).
% 0.13/0.43 tff(105,plain,
% 0.13/0.43 (^[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))))),
% 0.13/0.43 inference(bind,[status(th)],[])).
% 0.13/0.43 tff(106,plain,
% 0.13/0.43 (![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)))),
% 0.13/0.43 inference(quant_intro,[status(thm)],[105])).
% 0.13/0.43 tff(107,plain,
% 0.13/0.43 (![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)))),
% 0.13/0.43 inference(rewrite,[status(thm)],[])).
% 0.13/0.43 tff(108,plain,
% 0.13/0.43 (^[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)))))),
% 0.13/0.43 inference(bind,[status(th)],[])).
% 0.13/0.43 tff(109,plain,
% 0.13/0.43 (![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)))),
% 0.13/0.43 inference(quant_intro,[status(thm)],[108])).
% 0.13/0.43 tff(110,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_38')).
% 0.13/0.43 tff(111,plain,
% 0.13/0.43 (![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)))),
% 0.13/0.43 inference(modus_ponens,[status(thm)],[110, 109])).
% 0.13/0.43 tff(112,plain,
% 0.13/0.43 (![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)))),
% 0.13/0.43 inference(modus_ponens,[status(thm)],[111, 107])).
% 0.13/0.43 tff(113,plain,(
% 0.13/0.43 ![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)))),
% 0.13/0.43 inference(skolemize,[status(sab)],[112])).
% 0.13/0.43 tff(114,plain,
% 0.13/0.43 (![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)))),
% 0.13/0.43 inference(modus_ponens,[status(thm)],[113, 106])).
% 0.13/0.43 tff(115,plain,
% 0.13/0.43 (((~![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)))) | (has_immunity(sk1, sk2) | has_immunity(sk1, sk3) | smaller(hazard_of_mortality(sk1, sk3), hazard_of_mortality(sk1, sk2)) | (~organization(sk1)) | (~greater_or_equal(position(sk1, sk3), position(sk1, sk2))) | (~greater(capability(sk1, sk3), capability(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)))) | has_immunity(sk1, sk2) | has_immunity(sk1, sk3) | smaller(hazard_of_mortality(sk1, sk3), hazard_of_mortality(sk1, sk2)) | (~organization(sk1)) | (~greater_or_equal(position(sk1, sk3), position(sk1, sk2))) | (~greater(capability(sk1, sk3), capability(sk1, sk2))))),
% 0.13/0.43 inference(rewrite,[status(thm)],[])).
% 0.13/0.43 tff(116,plain,
% 0.13/0.43 ((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))) <=> (has_immunity(sk1, sk2) | has_immunity(sk1, sk3) | smaller(hazard_of_mortality(sk1, sk3), hazard_of_mortality(sk1, sk2)) | (~organization(sk1)) | (~greater_or_equal(position(sk1, sk3), position(sk1, sk2))) | (~greater(capability(sk1, sk3), capability(sk1, sk2))))),
% 0.13/0.43 inference(rewrite,[status(thm)],[])).
% 0.13/0.43 tff(117,plain,
% 0.13/0.43 (((~![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)))) | (has_immunity(sk1, sk2) | has_immunity(sk1, sk3) | smaller(hazard_of_mortality(sk1, sk3), hazard_of_mortality(sk1, sk2)) | (~organization(sk1)) | (~greater_or_equal(position(sk1, sk3), position(sk1, sk2))) | (~greater(capability(sk1, sk3), capability(sk1, sk2)))))),
% 0.13/0.43 inference(monotonicity,[status(thm)],[116])).
% 0.13/0.43 tff(118,plain,
% 0.13/0.43 (((~![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)))) | has_immunity(sk1, sk2) | has_immunity(sk1, sk3) | smaller(hazard_of_mortality(sk1, sk3), hazard_of_mortality(sk1, sk2)) | (~organization(sk1)) | (~greater_or_equal(position(sk1, sk3), position(sk1, sk2))) | (~greater(capability(sk1, sk3), capability(sk1, sk2))))),
% 0.13/0.43 inference(transitivity,[status(thm)],[117, 115])).
% 0.13/0.43 tff(119,plain,
% 0.13/0.43 ((~![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)))),
% 0.13/0.43 inference(quant_inst,[status(thm)],[])).
% 0.13/0.43 tff(120,plain,
% 0.13/0.43 ((~![B: $i, A: $i, C: $i] : (smaller(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | (~greater_or_equal(position(A, C), position(A, B))) | (~greater(capability(A, C), capability(A, B))) | has_immunity(A, C) | has_immunity(A, B) | (~organization(A)))) | has_immunity(sk1, sk2) | has_immunity(sk1, sk3) | smaller(hazard_of_mortality(sk1, sk3), hazard_of_mortality(sk1, sk2)) | (~organization(sk1)) | (~greater_or_equal(position(sk1, sk3), position(sk1, sk2))) | (~greater(capability(sk1, sk3), capability(sk1, sk2)))),
% 0.13/0.43 inference(modus_ponens,[status(thm)],[119, 118])).
% 0.13/0.43 tff(121,plain,
% 0.13/0.43 ((~greater_or_equal(position(sk1, sk3), position(sk1, sk2))) | (~greater(capability(sk1, sk3), capability(sk1, sk2)))),
% 0.13/0.43 inference(unit_resolution,[status(thm)],[120, 114, 42, 104, 101, 98])).
% 0.13/0.43 tff(122,plain,
% 0.13/0.43 ($false),
% 0.13/0.43 inference(unit_resolution,[status(thm)],[121, 93, 70])).
% 0.13/0.43 tff(123,plain,((~greater_or_equal(position(sk1, sk3), position(sk1, sk2))) | (~greater(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2)))), inference(lemma,lemma(discharge,[]))).
% 0.13/0.43 tff(124,plain,
% 0.13/0.43 (~greater_or_equal(position(sk1, sk3), position(sk1, sk2))),
% 0.13/0.43 inference(unit_resolution,[status(thm)],[123, 69])).
% 0.13/0.43 tff(125,plain,
% 0.13/0.43 (~greater_or_equal(position(sk1, sk3), position(sk1, sk3))),
% 0.13/0.43 inference(modus_ponens,[status(thm)],[124, 61])).
% 0.13/0.43 tff(126,plain,
% 0.13/0.43 (~greater_or_equal(position(sk1, sk2), position(sk1, sk2))),
% 0.13/0.43 inference(modus_ponens,[status(thm)],[125, 59])).
% 0.13/0.43 tff(127,assumption,(~greater_or_equal(position(sk1, sk2), position(sk1, sk2))), introduced(assumption)).
% 0.13/0.43 tff(128,plain,
% 0.13/0.43 (^[B: $i] : refl(greater_or_equal(B, B) <=> greater_or_equal(B, B))),
% 0.13/0.43 inference(bind,[status(th)],[])).
% 0.13/0.43 tff(129,plain,
% 0.13/0.43 (![B: $i] : greater_or_equal(B, B) <=> ![B: $i] : greater_or_equal(B, B)),
% 0.13/0.43 inference(quant_intro,[status(thm)],[128])).
% 0.13/0.43 tff(130,plain,
% 0.13/0.43 (![B: $i] : greater_or_equal(B, B) <=> ![B: $i] : greater_or_equal(B, B)),
% 0.13/0.43 inference(rewrite,[status(thm)],[])).
% 0.13/0.43 tff(131,plain,
% 0.13/0.43 (![B: $i, A: $i] : greater_or_equal(B, B) <=> ![B: $i] : greater_or_equal(B, B)),
% 0.13/0.43 inference(elim_unused_vars,[status(thm)],[])).
% 0.13/0.43 tff(132,plain,
% 0.13/0.43 (![B: $i, A: $i] : ((~(A = B)) | greater_or_equal(A, B)) <=> ![B: $i, A: $i] : greater_or_equal(B, B)),
% 0.13/0.43 inference(destructive_equality_resolution,[status(thm)],[])).
% 0.13/0.43 tff(133,plain,
% 0.13/0.43 (![B: $i, A: $i] : ((~(A = B)) | greater_or_equal(A, B)) <=> ![B: $i] : greater_or_equal(B, B)),
% 0.13/0.43 inference(transitivity,[status(thm)],[132, 131])).
% 0.13/0.43 tff(134,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')).
% 0.13/0.43 tff(135,plain,
% 0.13/0.43 (![B: $i] : greater_or_equal(B, B)),
% 0.13/0.43 inference(modus_ponens,[status(thm)],[134, 133])).
% 0.13/0.43 tff(136,plain,
% 0.13/0.43 (![B: $i] : greater_or_equal(B, B)),
% 0.13/0.43 inference(modus_ponens,[status(thm)],[135, 130])).
% 0.13/0.43 tff(137,plain,(
% 0.13/0.43 ![B: $i] : greater_or_equal(B, B)),
% 0.13/0.43 inference(skolemize,[status(sab)],[136])).
% 0.13/0.43 tff(138,plain,
% 0.13/0.43 (![B: $i] : greater_or_equal(B, B)),
% 0.13/0.43 inference(modus_ponens,[status(thm)],[137, 129])).
% 0.13/0.43 tff(139,plain,
% 0.13/0.43 ((~![B: $i] : greater_or_equal(B, B)) | greater_or_equal(position(sk1, sk2), position(sk1, sk2))),
% 0.13/0.43 inference(quant_inst,[status(thm)],[])).
% 0.13/0.43 tff(140,plain,
% 0.13/0.43 ($false),
% 0.13/0.43 inference(unit_resolution,[status(thm)],[139, 138, 127])).
% 0.13/0.43 tff(141,plain,(greater_or_equal(position(sk1, sk2), position(sk1, sk2))), inference(lemma,lemma(discharge,[]))).
% 0.13/0.43 tff(142,plain,
% 0.13/0.43 ($false),
% 0.13/0.43 inference(unit_resolution,[status(thm)],[141, 126])).
% 0.13/0.43 tff(143,plain,(greater(external_ties(sk1, sk3), external_ties(sk1, sk2))), inference(lemma,lemma(discharge,[]))).
% 0.13/0.43 tff(144,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(145,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)],[144])).
% 0.13/0.43 tff(146,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(147,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(148,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)],[147])).
% 0.13/0.43 tff(149,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_44')).
% 0.13/0.43 tff(150,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)],[149, 148])).
% 0.13/0.43 tff(151,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)],[150, 146])).
% 0.13/0.43 tff(152,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(skolemize,[status(sab)],[151])).
% 0.13/0.43 tff(153,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)],[152, 145])).
% 0.13/0.43 tff(154,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)))) | ((~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(155,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(156,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)],[155])).
% 0.13/0.44 tff(157,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)],[156, 154])).
% 0.13/0.44 tff(158,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(159,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)],[158, 157])).
% 0.13/0.44 tff(160,plain,
% 0.13/0.44 (greater(position(sk1, sk3), position(sk1, sk2))),
% 0.13/0.44 inference(unit_resolution,[status(thm)],[159, 153, 42, 143])).
% 0.13/0.44 tff(161,plain,
% 0.13/0.44 (^[B: $i, A: $i, C: $i] : refl((smaller(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | has_immunity(A, C) | has_immunity(A, B) | (~organization(A)) | (~greater(position(A, C), position(A, B))) | (~greater_or_equal(capability(A, C), capability(A, B)))) <=> (smaller(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | has_immunity(A, C) | has_immunity(A, B) | (~organization(A)) | (~greater(position(A, C), position(A, B))) | (~greater_or_equal(capability(A, C), capability(A, B)))))),
% 0.13/0.44 inference(bind,[status(th)],[])).
% 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)) | has_immunity(A, C) | has_immunity(A, B) | (~organization(A)) | (~greater(position(A, C), position(A, B))) | (~greater_or_equal(capability(A, C), capability(A, B)))) <=> ![B: $i, A: $i, C: $i] : (smaller(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | has_immunity(A, C) | has_immunity(A, B) | (~organization(A)) | (~greater(position(A, C), position(A, B))) | (~greater_or_equal(capability(A, C), capability(A, B))))),
% 0.13/0.44 inference(quant_intro,[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)) | has_immunity(A, C) | has_immunity(A, B) | (~organization(A)) | (~greater(position(A, C), position(A, B))) | (~greater_or_equal(capability(A, C), capability(A, B)))) <=> ![B: $i, A: $i, C: $i] : (smaller(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | has_immunity(A, C) | has_immunity(A, B) | (~organization(A)) | (~greater(position(A, C), position(A, B))) | (~greater_or_equal(capability(A, C), capability(A, B))))),
% 0.13/0.44 inference(rewrite,[status(thm)],[])).
% 0.13/0.44 tff(164,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_or_equal(capability(A, C), capability(A, B)))) <=> ((has_immunity(A, C) | has_immunity(A, B) | (~organization(A))) | (~greater_or_equal(capability(A, C), capability(A, B)))))), rewrite(((has_immunity(A, C) | has_immunity(A, B) | (~organization(A))) | (~greater_or_equal(capability(A, C), capability(A, B)))) <=> (has_immunity(A, C) | has_immunity(A, B) | (~organization(A)) | (~greater_or_equal(capability(A, C), capability(A, B))))), (((((~organization(A)) | has_immunity(A, B)) | has_immunity(A, C)) | (~greater_or_equal(capability(A, C), capability(A, B)))) <=> (has_immunity(A, C) | has_immunity(A, B) | (~organization(A)) | (~greater_or_equal(capability(A, C), capability(A, B)))))), ((((((~organization(A)) | has_immunity(A, B)) | has_immunity(A, C)) | (~greater_or_equal(capability(A, C), capability(A, B)))) | (~greater(position(A, C), position(A, B)))) <=> ((has_immunity(A, C) | has_immunity(A, B) | (~organization(A)) | (~greater_or_equal(capability(A, C), capability(A, B)))) | (~greater(position(A, C), position(A, B)))))), rewrite(((has_immunity(A, C) | has_immunity(A, B) | (~organization(A)) | (~greater_or_equal(capability(A, C), capability(A, B)))) | (~greater(position(A, C), position(A, B)))) <=> (has_immunity(A, C) | has_immunity(A, B) | (~organization(A)) | (~greater(position(A, C), position(A, B))) | (~greater_or_equal(capability(A, C), capability(A, B))))), ((((((~organization(A)) | has_immunity(A, B)) | has_immunity(A, C)) | (~greater_or_equal(capability(A, C), capability(A, B)))) | (~greater(position(A, C), position(A, B)))) <=> (has_immunity(A, C) | has_immunity(A, B) | (~organization(A)) | (~greater(position(A, C), position(A, B))) | (~greater_or_equal(capability(A, C), capability(A, B)))))), (((((((~organization(A)) | has_immunity(A, B)) | has_immunity(A, C)) | (~greater_or_equal(capability(A, C), capability(A, B)))) | (~greater(position(A, C), position(A, B)))) | smaller(hazard_of_mortality(A, C), hazard_of_mortality(A, B))) <=> ((has_immunity(A, C) | has_immunity(A, B) | (~organization(A)) | (~greater(position(A, C), position(A, B))) | (~greater_or_equal(capability(A, C), capability(A, B)))) | smaller(hazard_of_mortality(A, C), hazard_of_mortality(A, B))))), rewrite(((has_immunity(A, C) | has_immunity(A, B) | (~organization(A)) | (~greater(position(A, C), position(A, B))) | (~greater_or_equal(capability(A, C), capability(A, B)))) | smaller(hazard_of_mortality(A, C), hazard_of_mortality(A, B))) <=> (smaller(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | has_immunity(A, C) | has_immunity(A, B) | (~organization(A)) | (~greater(position(A, C), position(A, B))) | (~greater_or_equal(capability(A, C), capability(A, B))))), (((((((~organization(A)) | has_immunity(A, B)) | has_immunity(A, C)) | (~greater_or_equal(capability(A, C), capability(A, B)))) | (~greater(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)) | has_immunity(A, C) | has_immunity(A, B) | (~organization(A)) | (~greater(position(A, C), position(A, B))) | (~greater_or_equal(capability(A, C), capability(A, B))))))),
% 0.13/0.44 inference(bind,[status(th)],[])).
% 0.13/0.44 tff(165,plain,
% 0.13/0.44 (![B: $i, A: $i, C: $i] : ((((((~organization(A)) | has_immunity(A, B)) | has_immunity(A, C)) | (~greater_or_equal(capability(A, C), capability(A, B)))) | (~greater(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)) | has_immunity(A, C) | has_immunity(A, B) | (~organization(A)) | (~greater(position(A, C), position(A, B))) | (~greater_or_equal(capability(A, C), capability(A, B))))),
% 0.13/0.44 inference(quant_intro,[status(thm)],[164])).
% 0.13/0.44 tff(166,axiom,(![B: $i, A: $i, C: $i] : ((((((~organization(A)) | has_immunity(A, B)) | has_immunity(A, C)) | (~greater_or_equal(capability(A, C), capability(A, B)))) | (~greater(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_39')).
% 0.13/0.44 tff(167,plain,
% 0.13/0.44 (![B: $i, A: $i, C: $i] : (smaller(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | has_immunity(A, C) | has_immunity(A, B) | (~organization(A)) | (~greater(position(A, C), position(A, B))) | (~greater_or_equal(capability(A, C), capability(A, B))))),
% 0.13/0.44 inference(modus_ponens,[status(thm)],[166, 165])).
% 0.13/0.44 tff(168,plain,
% 0.13/0.44 (![B: $i, A: $i, C: $i] : (smaller(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | has_immunity(A, C) | has_immunity(A, B) | (~organization(A)) | (~greater(position(A, C), position(A, B))) | (~greater_or_equal(capability(A, C), capability(A, B))))),
% 0.13/0.44 inference(modus_ponens,[status(thm)],[167, 163])).
% 0.13/0.44 tff(169,plain,(
% 0.13/0.44 ![B: $i, A: $i, C: $i] : (smaller(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | has_immunity(A, C) | has_immunity(A, B) | (~organization(A)) | (~greater(position(A, C), position(A, B))) | (~greater_or_equal(capability(A, C), capability(A, B))))),
% 0.13/0.44 inference(skolemize,[status(sab)],[168])).
% 0.13/0.44 tff(170,plain,
% 0.13/0.44 (![B: $i, A: $i, C: $i] : (smaller(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | has_immunity(A, C) | has_immunity(A, B) | (~organization(A)) | (~greater(position(A, C), position(A, B))) | (~greater_or_equal(capability(A, C), capability(A, B))))),
% 0.13/0.44 inference(modus_ponens,[status(thm)],[169, 162])).
% 0.13/0.44 tff(171,plain,
% 0.13/0.44 (((~![B: $i, A: $i, C: $i] : (smaller(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | has_immunity(A, C) | has_immunity(A, B) | (~organization(A)) | (~greater(position(A, C), position(A, B))) | (~greater_or_equal(capability(A, C), capability(A, B))))) | (has_immunity(sk1, sk2) | has_immunity(sk1, sk3) | smaller(hazard_of_mortality(sk1, sk3), hazard_of_mortality(sk1, sk2)) | (~organization(sk1)) | (~greater(position(sk1, sk3), position(sk1, sk2))) | (~greater_or_equal(capability(sk1, sk3), capability(sk1, sk2))))) <=> ((~![B: $i, A: $i, C: $i] : (smaller(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | has_immunity(A, C) | has_immunity(A, B) | (~organization(A)) | (~greater(position(A, C), position(A, B))) | (~greater_or_equal(capability(A, C), capability(A, B))))) | has_immunity(sk1, sk2) | has_immunity(sk1, sk3) | smaller(hazard_of_mortality(sk1, sk3), hazard_of_mortality(sk1, sk2)) | (~organization(sk1)) | (~greater(position(sk1, sk3), position(sk1, sk2))) | (~greater_or_equal(capability(sk1, sk3), capability(sk1, sk2))))),
% 0.13/0.44 inference(rewrite,[status(thm)],[])).
% 0.13/0.44 tff(172,plain,
% 0.13/0.44 ((smaller(hazard_of_mortality(sk1, sk3), hazard_of_mortality(sk1, sk2)) | has_immunity(sk1, sk3) | has_immunity(sk1, sk2) | (~organization(sk1)) | (~greater(position(sk1, sk3), position(sk1, sk2))) | (~greater_or_equal(capability(sk1, sk3), capability(sk1, sk2)))) <=> (has_immunity(sk1, sk2) | has_immunity(sk1, sk3) | smaller(hazard_of_mortality(sk1, sk3), hazard_of_mortality(sk1, sk2)) | (~organization(sk1)) | (~greater(position(sk1, sk3), position(sk1, sk2))) | (~greater_or_equal(capability(sk1, sk3), capability(sk1, sk2))))),
% 0.13/0.44 inference(rewrite,[status(thm)],[])).
% 0.13/0.44 tff(173,plain,
% 0.13/0.44 (((~![B: $i, A: $i, C: $i] : (smaller(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | has_immunity(A, C) | has_immunity(A, B) | (~organization(A)) | (~greater(position(A, C), position(A, B))) | (~greater_or_equal(capability(A, C), capability(A, B))))) | (smaller(hazard_of_mortality(sk1, sk3), hazard_of_mortality(sk1, sk2)) | has_immunity(sk1, sk3) | has_immunity(sk1, sk2) | (~organization(sk1)) | (~greater(position(sk1, sk3), position(sk1, sk2))) | (~greater_or_equal(capability(sk1, sk3), capability(sk1, sk2))))) <=> ((~![B: $i, A: $i, C: $i] : (smaller(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | has_immunity(A, C) | has_immunity(A, B) | (~organization(A)) | (~greater(position(A, C), position(A, B))) | (~greater_or_equal(capability(A, C), capability(A, B))))) | (has_immunity(sk1, sk2) | has_immunity(sk1, sk3) | smaller(hazard_of_mortality(sk1, sk3), hazard_of_mortality(sk1, sk2)) | (~organization(sk1)) | (~greater(position(sk1, sk3), position(sk1, sk2))) | (~greater_or_equal(capability(sk1, sk3), capability(sk1, sk2)))))),
% 0.13/0.44 inference(monotonicity,[status(thm)],[172])).
% 0.13/0.44 tff(174,plain,
% 0.13/0.44 (((~![B: $i, A: $i, C: $i] : (smaller(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | has_immunity(A, C) | has_immunity(A, B) | (~organization(A)) | (~greater(position(A, C), position(A, B))) | (~greater_or_equal(capability(A, C), capability(A, B))))) | (smaller(hazard_of_mortality(sk1, sk3), hazard_of_mortality(sk1, sk2)) | has_immunity(sk1, sk3) | has_immunity(sk1, sk2) | (~organization(sk1)) | (~greater(position(sk1, sk3), position(sk1, sk2))) | (~greater_or_equal(capability(sk1, sk3), capability(sk1, sk2))))) <=> ((~![B: $i, A: $i, C: $i] : (smaller(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | has_immunity(A, C) | has_immunity(A, B) | (~organization(A)) | (~greater(position(A, C), position(A, B))) | (~greater_or_equal(capability(A, C), capability(A, B))))) | has_immunity(sk1, sk2) | has_immunity(sk1, sk3) | smaller(hazard_of_mortality(sk1, sk3), hazard_of_mortality(sk1, sk2)) | (~organization(sk1)) | (~greater(position(sk1, sk3), position(sk1, sk2))) | (~greater_or_equal(capability(sk1, sk3), capability(sk1, sk2))))),
% 0.13/0.44 inference(transitivity,[status(thm)],[173, 171])).
% 0.13/0.44 tff(175,plain,
% 0.13/0.44 ((~![B: $i, A: $i, C: $i] : (smaller(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | has_immunity(A, C) | has_immunity(A, B) | (~organization(A)) | (~greater(position(A, C), position(A, B))) | (~greater_or_equal(capability(A, C), capability(A, B))))) | (smaller(hazard_of_mortality(sk1, sk3), hazard_of_mortality(sk1, sk2)) | has_immunity(sk1, sk3) | has_immunity(sk1, sk2) | (~organization(sk1)) | (~greater(position(sk1, sk3), position(sk1, sk2))) | (~greater_or_equal(capability(sk1, sk3), capability(sk1, sk2))))),
% 0.13/0.44 inference(quant_inst,[status(thm)],[])).
% 0.13/0.44 tff(176,plain,
% 0.13/0.44 ((~![B: $i, A: $i, C: $i] : (smaller(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | has_immunity(A, C) | has_immunity(A, B) | (~organization(A)) | (~greater(position(A, C), position(A, B))) | (~greater_or_equal(capability(A, C), capability(A, B))))) | has_immunity(sk1, sk2) | has_immunity(sk1, sk3) | smaller(hazard_of_mortality(sk1, sk3), hazard_of_mortality(sk1, sk2)) | (~organization(sk1)) | (~greater(position(sk1, sk3), position(sk1, sk2))) | (~greater_or_equal(capability(sk1, sk3), capability(sk1, sk2)))),
% 0.13/0.44 inference(modus_ponens,[status(thm)],[175, 174])).
% 0.13/0.44 tff(177,plain,
% 0.13/0.44 ((~greater(position(sk1, sk3), position(sk1, sk2))) | (~greater_or_equal(capability(sk1, sk3), capability(sk1, sk2)))),
% 0.13/0.44 inference(unit_resolution,[status(thm)],[176, 170, 42, 104, 101, 98])).
% 0.13/0.44 tff(178,plain,
% 0.13/0.44 (~greater_or_equal(capability(sk1, sk3), capability(sk1, sk2))),
% 0.13/0.44 inference(unit_resolution,[status(thm)],[177, 160])).
% 0.13/0.44 tff(179,plain,
% 0.13/0.44 (((~![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))) | ((~greater(capability(sk1, sk3), capability(sk1, sk2))) | greater_or_equal(capability(sk1, sk3), capability(sk1, sk2)))) <=> ((~![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))) | (~greater(capability(sk1, sk3), capability(sk1, sk2))) | greater_or_equal(capability(sk1, sk3), capability(sk1, sk2)))),
% 0.13/0.44 inference(rewrite,[status(thm)],[])).
% 0.13/0.44 tff(180,plain,
% 0.13/0.44 ((~![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))) | ((~greater(capability(sk1, sk3), capability(sk1, sk2))) | greater_or_equal(capability(sk1, sk3), capability(sk1, sk2)))),
% 0.13/0.44 inference(quant_inst,[status(thm)],[])).
% 0.13/0.44 tff(181,plain,
% 0.13/0.44 ((~![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))) | (~greater(capability(sk1, sk3), capability(sk1, sk2))) | greater_or_equal(capability(sk1, sk3), capability(sk1, sk2))),
% 0.13/0.44 inference(modus_ponens,[status(thm)],[180, 179])).
% 0.13/0.44 tff(182,plain,
% 0.13/0.44 (~greater(capability(sk1, sk3), capability(sk1, sk2))),
% 0.13/0.44 inference(unit_resolution,[status(thm)],[181, 15, 178])).
% 0.13/0.44 tff(183,plain,
% 0.13/0.44 (~greater(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2))),
% 0.13/0.44 inference(unit_resolution,[status(thm)],[92, 86, 42, 75, 182])).
% 0.13/0.44 tff(184,plain,
% 0.13/0.44 ((greater(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2)) | greater_or_equal(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2))) <=> (greater(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2)) | greater_or_equal(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2)))),
% 0.13/0.44 inference(rewrite,[status(thm)],[])).
% 0.13/0.44 tff(185,axiom,(greater(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2)) | greater_or_equal(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','lemma_1_49')).
% 0.13/0.44 tff(186,plain,
% 0.13/0.44 (greater(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2)) | greater_or_equal(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2))),
% 0.13/0.44 inference(modus_ponens,[status(thm)],[185, 184])).
% 0.13/0.44 tff(187,plain,
% 0.13/0.44 (greater_or_equal(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2))),
% 0.13/0.44 inference(unit_resolution,[status(thm)],[186, 183])).
% 0.13/0.44 tff(188,plain,
% 0.13/0.44 (((~![B: $i, A: $i] : ((A = B) | greater(A, B) | (~greater_or_equal(A, B)))) | (greater(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2)) | (stock_of_knowledge(sk1, sk3) = stock_of_knowledge(sk1, sk2)) | (~greater_or_equal(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2))))) <=> ((~![B: $i, A: $i] : ((A = B) | greater(A, B) | (~greater_or_equal(A, B)))) | greater(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2)) | (stock_of_knowledge(sk1, sk3) = stock_of_knowledge(sk1, sk2)) | (~greater_or_equal(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2))))),
% 0.13/0.44 inference(rewrite,[status(thm)],[])).
% 0.13/0.44 tff(189,plain,
% 0.13/0.44 (((stock_of_knowledge(sk1, sk3) = stock_of_knowledge(sk1, sk2)) | greater(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2)) | (~greater_or_equal(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2)))) <=> (greater(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2)) | (stock_of_knowledge(sk1, sk3) = stock_of_knowledge(sk1, sk2)) | (~greater_or_equal(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2))))),
% 0.13/0.44 inference(rewrite,[status(thm)],[])).
% 0.13/0.44 tff(190,plain,
% 0.13/0.44 (((~![B: $i, A: $i] : ((A = B) | greater(A, B) | (~greater_or_equal(A, B)))) | ((stock_of_knowledge(sk1, sk3) = stock_of_knowledge(sk1, sk2)) | greater(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2)) | (~greater_or_equal(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2))))) <=> ((~![B: $i, A: $i] : ((A = B) | greater(A, B) | (~greater_or_equal(A, B)))) | (greater(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2)) | (stock_of_knowledge(sk1, sk3) = stock_of_knowledge(sk1, sk2)) | (~greater_or_equal(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2)))))),
% 0.13/0.44 inference(monotonicity,[status(thm)],[189])).
% 0.13/0.44 tff(191,plain,
% 0.13/0.44 (((~![B: $i, A: $i] : ((A = B) | greater(A, B) | (~greater_or_equal(A, B)))) | ((stock_of_knowledge(sk1, sk3) = stock_of_knowledge(sk1, sk2)) | greater(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2)) | (~greater_or_equal(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2))))) <=> ((~![B: $i, A: $i] : ((A = B) | greater(A, B) | (~greater_or_equal(A, B)))) | greater(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2)) | (stock_of_knowledge(sk1, sk3) = stock_of_knowledge(sk1, sk2)) | (~greater_or_equal(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2))))),
% 0.13/0.44 inference(transitivity,[status(thm)],[190, 188])).
% 0.13/0.44 tff(192,plain,
% 0.13/0.44 ((~![B: $i, A: $i] : ((A = B) | greater(A, B) | (~greater_or_equal(A, B)))) | ((stock_of_knowledge(sk1, sk3) = stock_of_knowledge(sk1, sk2)) | greater(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2)) | (~greater_or_equal(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2))))),
% 0.13/0.45 inference(quant_inst,[status(thm)],[])).
% 0.13/0.45 tff(193,plain,
% 0.13/0.45 ((~![B: $i, A: $i] : ((A = B) | greater(A, B) | (~greater_or_equal(A, B)))) | greater(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2)) | (stock_of_knowledge(sk1, sk3) = stock_of_knowledge(sk1, sk2)) | (~greater_or_equal(stock_of_knowledge(sk1, sk3), stock_of_knowledge(sk1, sk2)))),
% 0.13/0.45 inference(modus_ponens,[status(thm)],[192, 191])).
% 0.13/0.45 tff(194,plain,
% 0.13/0.45 (stock_of_knowledge(sk1, sk3) = stock_of_knowledge(sk1, sk2)),
% 0.13/0.45 inference(unit_resolution,[status(thm)],[193, 30, 183, 187])).
% 0.13/0.45 tff(195,plain,
% 0.13/0.45 (^[B: $i, A: $i] : refl(((~smaller(A, B)) | greater(B, A)) <=> ((~smaller(A, B)) | greater(B, A)))),
% 0.13/0.45 inference(bind,[status(th)],[])).
% 0.13/0.45 tff(196,plain,
% 0.13/0.45 (![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A)) <=> ![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))),
% 0.13/0.45 inference(quant_intro,[status(thm)],[195])).
% 0.13/0.45 tff(197,plain,
% 0.13/0.45 (![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A)) <=> ![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))),
% 0.13/0.45 inference(rewrite,[status(thm)],[])).
% 0.13/0.45 tff(198,axiom,(![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))), file('/export/starexec/sandbox/benchmark/Axioms/MGT001-0.ax','definition_smaller_7')).
% 0.13/0.45 tff(199,plain,
% 0.13/0.45 (![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))),
% 0.13/0.45 inference(modus_ponens,[status(thm)],[198, 197])).
% 0.13/0.45 tff(200,plain,(
% 0.13/0.45 ![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))),
% 0.13/0.45 inference(skolemize,[status(sab)],[199])).
% 0.13/0.45 tff(201,plain,
% 0.13/0.45 (![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))),
% 0.13/0.45 inference(modus_ponens,[status(thm)],[200, 196])).
% 0.13/0.45 tff(202,plain,
% 0.13/0.45 (((~![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))) | ((~smaller(capability(sk1, sk2), capability(sk1, sk3))) | greater(capability(sk1, sk3), capability(sk1, sk2)))) <=> ((~![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))) | (~smaller(capability(sk1, sk2), capability(sk1, sk3))) | greater(capability(sk1, sk3), capability(sk1, sk2)))),
% 0.13/0.45 inference(rewrite,[status(thm)],[])).
% 0.13/0.45 tff(203,plain,
% 0.13/0.45 ((~![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))) | ((~smaller(capability(sk1, sk2), capability(sk1, sk3))) | greater(capability(sk1, sk3), capability(sk1, sk2)))),
% 0.13/0.45 inference(quant_inst,[status(thm)],[])).
% 0.13/0.45 tff(204,plain,
% 0.13/0.45 ((~![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))) | (~smaller(capability(sk1, sk2), capability(sk1, sk3))) | greater(capability(sk1, sk3), capability(sk1, sk2))),
% 0.13/0.45 inference(modus_ponens,[status(thm)],[203, 202])).
% 0.13/0.45 tff(205,plain,
% 0.13/0.45 (~smaller(capability(sk1, sk2), capability(sk1, sk3))),
% 0.13/0.45 inference(unit_resolution,[status(thm)],[204, 201, 182])).
% 0.13/0.45 tff(206,plain,
% 0.13/0.45 (smaller_or_equal(stock_of_knowledge(sk1, sk2), stock_of_knowledge(sk1, sk3)) <=> smaller_or_equal(stock_of_knowledge(sk1, sk2), stock_of_knowledge(sk1, sk2))),
% 0.13/0.45 inference(monotonicity,[status(thm)],[194])).
% 0.13/0.45 tff(207,plain,
% 0.13/0.45 (smaller_or_equal(stock_of_knowledge(sk1, sk2), stock_of_knowledge(sk1, sk2)) <=> smaller_or_equal(stock_of_knowledge(sk1, sk2), stock_of_knowledge(sk1, sk3))),
% 0.13/0.45 inference(symmetry,[status(thm)],[206])).
% 0.13/0.45 tff(208,assumption,(~smaller_or_equal(stock_of_knowledge(sk1, sk2), stock_of_knowledge(sk1, sk2))), introduced(assumption)).
% 0.13/0.45 tff(209,plain,
% 0.13/0.45 (^[B: $i] : refl(smaller_or_equal(B, B) <=> smaller_or_equal(B, B))),
% 0.13/0.45 inference(bind,[status(th)],[])).
% 0.13/0.45 tff(210,plain,
% 0.13/0.45 (![B: $i] : smaller_or_equal(B, B) <=> ![B: $i] : smaller_or_equal(B, B)),
% 0.13/0.45 inference(quant_intro,[status(thm)],[209])).
% 0.13/0.45 tff(211,plain,
% 0.13/0.45 (![B: $i] : smaller_or_equal(B, B) <=> ![B: $i] : smaller_or_equal(B, B)),
% 0.13/0.45 inference(rewrite,[status(thm)],[])).
% 0.13/0.45 tff(212,plain,
% 0.13/0.45 (![B: $i, A: $i] : smaller_or_equal(B, B) <=> ![B: $i] : smaller_or_equal(B, B)),
% 0.13/0.45 inference(elim_unused_vars,[status(thm)],[])).
% 0.13/0.45 tff(213,plain,
% 0.13/0.45 (![B: $i, A: $i] : ((~(A = B)) | smaller_or_equal(A, B)) <=> ![B: $i, A: $i] : smaller_or_equal(B, B)),
% 0.13/0.45 inference(destructive_equality_resolution,[status(thm)],[])).
% 0.13/0.45 tff(214,plain,
% 0.13/0.45 (![B: $i, A: $i] : ((~(A = B)) | smaller_or_equal(A, B)) <=> ![B: $i] : smaller_or_equal(B, B)),
% 0.13/0.45 inference(transitivity,[status(thm)],[213, 212])).
% 0.13/0.45 tff(215,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')).
% 0.13/0.45 tff(216,plain,
% 0.13/0.45 (![B: $i] : smaller_or_equal(B, B)),
% 0.13/0.45 inference(modus_ponens,[status(thm)],[215, 214])).
% 0.13/0.45 tff(217,plain,
% 0.13/0.45 (![B: $i] : smaller_or_equal(B, B)),
% 0.13/0.45 inference(modus_ponens,[status(thm)],[216, 211])).
% 0.13/0.45 tff(218,plain,(
% 0.13/0.45 ![B: $i] : smaller_or_equal(B, B)),
% 0.13/0.45 inference(skolemize,[status(sab)],[217])).
% 0.13/0.45 tff(219,plain,
% 0.13/0.45 (![B: $i] : smaller_or_equal(B, B)),
% 0.13/0.45 inference(modus_ponens,[status(thm)],[218, 210])).
% 0.13/0.45 tff(220,plain,
% 0.13/0.45 ((~![B: $i] : smaller_or_equal(B, B)) | smaller_or_equal(stock_of_knowledge(sk1, sk2), stock_of_knowledge(sk1, sk2))),
% 0.13/0.45 inference(quant_inst,[status(thm)],[])).
% 0.13/0.45 tff(221,plain,
% 0.13/0.45 ($false),
% 0.13/0.45 inference(unit_resolution,[status(thm)],[220, 219, 208])).
% 0.13/0.45 tff(222,plain,(smaller_or_equal(stock_of_knowledge(sk1, sk2), stock_of_knowledge(sk1, sk2))), inference(lemma,lemma(discharge,[]))).
% 0.13/0.45 tff(223,plain,
% 0.13/0.45 (smaller_or_equal(stock_of_knowledge(sk1, sk2), stock_of_knowledge(sk1, sk3))),
% 0.13/0.45 inference(modus_ponens,[status(thm)],[222, 207])).
% 0.13/0.45 tff(224,plain,
% 0.13/0.45 (^[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)))))),
% 0.13/0.45 inference(bind,[status(th)],[])).
% 0.13/0.45 tff(225,plain,
% 0.13/0.45 (![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))))),
% 0.13/0.45 inference(quant_intro,[status(thm)],[224])).
% 0.13/0.45 tff(226,plain,
% 0.13/0.45 (![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))))),
% 0.13/0.45 inference(rewrite,[status(thm)],[])).
% 0.13/0.45 tff(227,plain,
% 0.13/0.45 (^[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))))))),
% 0.13/0.45 inference(bind,[status(th)],[])).
% 0.13/0.45 tff(228,plain,
% 0.13/0.45 (![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))))),
% 0.13/0.45 inference(quant_intro,[status(thm)],[227])).
% 0.13/0.45 tff(229,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_42')).
% 0.13/0.45 tff(230,plain,
% 0.13/0.45 (![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))))),
% 0.13/0.45 inference(modus_ponens,[status(thm)],[229, 228])).
% 0.13/0.45 tff(231,plain,
% 0.13/0.45 (![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))))),
% 0.13/0.45 inference(modus_ponens,[status(thm)],[230, 226])).
% 0.13/0.45 tff(232,plain,(
% 0.13/0.45 ![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))))),
% 0.13/0.45 inference(skolemize,[status(sab)],[231])).
% 0.13/0.45 tff(233,plain,
% 0.13/0.45 (![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))))),
% 0.13/0.45 inference(modus_ponens,[status(thm)],[232, 225])).
% 0.13/0.45 tff(234,plain,
% 0.13/0.45 (((~![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, sk2), capability(sk1, sk3)) | (~greater(internal_friction(sk1, sk2), internal_friction(sk1, sk3))) | (~smaller_or_equal(stock_of_knowledge(sk1, sk2), stock_of_knowledge(sk1, sk3))))) <=> ((~![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, sk2), capability(sk1, sk3)) | (~greater(internal_friction(sk1, sk2), internal_friction(sk1, sk3))) | (~smaller_or_equal(stock_of_knowledge(sk1, sk2), stock_of_knowledge(sk1, sk3))))),
% 0.13/0.45 inference(rewrite,[status(thm)],[])).
% 0.13/0.45 tff(235,plain,
% 0.13/0.45 ((~![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, sk2), capability(sk1, sk3)) | (~greater(internal_friction(sk1, sk2), internal_friction(sk1, sk3))) | (~smaller_or_equal(stock_of_knowledge(sk1, sk2), stock_of_knowledge(sk1, sk3))))),
% 0.13/0.45 inference(quant_inst,[status(thm)],[])).
% 0.13/0.45 tff(236,plain,
% 0.13/0.45 ((~![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, sk2), capability(sk1, sk3)) | (~greater(internal_friction(sk1, sk2), internal_friction(sk1, sk3))) | (~smaller_or_equal(stock_of_knowledge(sk1, sk2), stock_of_knowledge(sk1, sk3)))),
% 0.13/0.45 inference(modus_ponens,[status(thm)],[235, 234])).
% 0.13/0.45 tff(237,plain,
% 0.13/0.45 (smaller(capability(sk1, sk2), capability(sk1, sk3)) | (~greater(internal_friction(sk1, sk2), internal_friction(sk1, sk3))) | (~smaller_or_equal(stock_of_knowledge(sk1, sk2), stock_of_knowledge(sk1, sk3)))),
% 0.13/0.45 inference(unit_resolution,[status(thm)],[236, 233, 42])).
% 0.13/0.45 tff(238,plain,
% 0.13/0.45 (~greater(internal_friction(sk1, sk2), internal_friction(sk1, sk3))),
% 0.13/0.45 inference(unit_resolution,[status(thm)],[237, 223, 205])).
% 0.13/0.45 tff(239,plain,
% 0.13/0.45 (((~![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))) | ((~smaller(internal_friction(sk1, sk3), internal_friction(sk1, sk2))) | greater(internal_friction(sk1, sk2), internal_friction(sk1, sk3)))) <=> ((~![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))) | (~smaller(internal_friction(sk1, sk3), internal_friction(sk1, sk2))) | greater(internal_friction(sk1, sk2), internal_friction(sk1, sk3)))),
% 0.13/0.45 inference(rewrite,[status(thm)],[])).
% 0.13/0.45 tff(240,plain,
% 0.13/0.45 ((~![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))) | ((~smaller(internal_friction(sk1, sk3), internal_friction(sk1, sk2))) | greater(internal_friction(sk1, sk2), internal_friction(sk1, sk3)))),
% 0.13/0.45 inference(quant_inst,[status(thm)],[])).
% 0.13/0.45 tff(241,plain,
% 0.13/0.45 ((~![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))) | (~smaller(internal_friction(sk1, sk3), internal_friction(sk1, sk2))) | greater(internal_friction(sk1, sk2), internal_friction(sk1, sk3))),
% 0.13/0.45 inference(modus_ponens,[status(thm)],[240, 239])).
% 0.13/0.45 tff(242,plain,
% 0.13/0.45 (~smaller(internal_friction(sk1, sk3), internal_friction(sk1, sk2))),
% 0.13/0.45 inference(unit_resolution,[status(thm)],[241, 201, 238])).
% 0.13/0.45 tff(243,plain,
% 0.13/0.45 (^[B: $i, A: $i] : refl(((A = B) | smaller(A, B) | (~smaller_or_equal(A, B))) <=> ((A = B) | smaller(A, B) | (~smaller_or_equal(A, B))))),
% 0.13/0.45 inference(bind,[status(th)],[])).
% 0.13/0.45 tff(244,plain,
% 0.13/0.45 (![B: $i, A: $i] : ((A = B) | smaller(A, B) | (~smaller_or_equal(A, B))) <=> ![B: $i, A: $i] : ((A = B) | smaller(A, B) | (~smaller_or_equal(A, B)))),
% 0.13/0.45 inference(quant_intro,[status(thm)],[243])).
% 0.13/0.45 tff(245,plain,
% 0.13/0.45 (![B: $i, A: $i] : ((A = B) | smaller(A, B) | (~smaller_or_equal(A, B))) <=> ![B: $i, A: $i] : ((A = B) | smaller(A, B) | (~smaller_or_equal(A, B)))),
% 0.13/0.45 inference(rewrite,[status(thm)],[])).
% 0.13/0.45 tff(246,plain,
% 0.13/0.45 (^[B: $i, A: $i] : rewrite((((~smaller_or_equal(A, B)) | smaller(A, B)) | (A = B)) <=> ((A = B) | smaller(A, B) | (~smaller_or_equal(A, B))))),
% 0.13/0.45 inference(bind,[status(th)],[])).
% 0.13/0.45 tff(247,plain,
% 0.13/0.45 (![B: $i, A: $i] : (((~smaller_or_equal(A, B)) | smaller(A, B)) | (A = B)) <=> ![B: $i, A: $i] : ((A = B) | smaller(A, B) | (~smaller_or_equal(A, B)))),
% 0.13/0.45 inference(quant_intro,[status(thm)],[246])).
% 0.13/0.45 tff(248,axiom,(![B: $i, A: $i] : (((~smaller_or_equal(A, B)) | smaller(A, B)) | (A = B))), file('/export/starexec/sandbox/benchmark/Axioms/MGT001-0.ax','definition_smaller_or_equal_1')).
% 0.13/0.45 tff(249,plain,
% 0.13/0.45 (![B: $i, A: $i] : ((A = B) | smaller(A, B) | (~smaller_or_equal(A, B)))),
% 0.13/0.45 inference(modus_ponens,[status(thm)],[248, 247])).
% 0.13/0.45 tff(250,plain,
% 0.13/0.45 (![B: $i, A: $i] : ((A = B) | smaller(A, B) | (~smaller_or_equal(A, B)))),
% 0.13/0.45 inference(modus_ponens,[status(thm)],[249, 245])).
% 0.13/0.45 tff(251,plain,(
% 0.13/0.45 ![B: $i, A: $i] : ((A = B) | smaller(A, B) | (~smaller_or_equal(A, B)))),
% 0.13/0.45 inference(skolemize,[status(sab)],[250])).
% 0.13/0.45 tff(252,plain,
% 0.13/0.45 (![B: $i, A: $i] : ((A = B) | smaller(A, B) | (~smaller_or_equal(A, B)))),
% 0.13/0.45 inference(modus_ponens,[status(thm)],[251, 244])).
% 0.13/0.45 tff(253,plain,
% 0.13/0.45 (((~![B: $i, A: $i] : ((A = B) | smaller(A, B) | (~smaller_or_equal(A, B)))) | ((internal_friction(sk1, sk3) = internal_friction(sk1, sk2)) | smaller(internal_friction(sk1, sk3), internal_friction(sk1, sk2)) | (~smaller_or_equal(internal_friction(sk1, sk3), internal_friction(sk1, sk2))))) <=> ((~![B: $i, A: $i] : ((A = B) | smaller(A, B) | (~smaller_or_equal(A, B)))) | (internal_friction(sk1, sk3) = internal_friction(sk1, sk2)) | smaller(internal_friction(sk1, sk3), internal_friction(sk1, sk2)) | (~smaller_or_equal(internal_friction(sk1, sk3), internal_friction(sk1, sk2))))),
% 0.13/0.45 inference(rewrite,[status(thm)],[])).
% 0.13/0.45 tff(254,plain,
% 0.13/0.45 ((~![B: $i, A: $i] : ((A = B) | smaller(A, B) | (~smaller_or_equal(A, B)))) | ((internal_friction(sk1, sk3) = internal_friction(sk1, sk2)) | smaller(internal_friction(sk1, sk3), internal_friction(sk1, sk2)) | (~smaller_or_equal(internal_friction(sk1, sk3), internal_friction(sk1, sk2))))),
% 0.13/0.45 inference(quant_inst,[status(thm)],[])).
% 0.13/0.45 tff(255,plain,
% 0.13/0.45 ((~![B: $i, A: $i] : ((A = B) | smaller(A, B) | (~smaller_or_equal(A, B)))) | (internal_friction(sk1, sk3) = internal_friction(sk1, sk2)) | smaller(internal_friction(sk1, sk3), internal_friction(sk1, sk2)) | (~smaller_or_equal(internal_friction(sk1, sk3), internal_friction(sk1, sk2)))),
% 0.13/0.45 inference(modus_ponens,[status(thm)],[254, 253])).
% 0.13/0.45 tff(256,plain,
% 0.13/0.45 ((internal_friction(sk1, sk3) = internal_friction(sk1, sk2)) | smaller(internal_friction(sk1, sk3), internal_friction(sk1, sk2))),
% 0.13/0.45 inference(unit_resolution,[status(thm)],[255, 252, 75])).
% 0.13/0.45 tff(257,plain,
% 0.13/0.45 (internal_friction(sk1, sk3) = internal_friction(sk1, sk2)),
% 0.13/0.45 inference(unit_resolution,[status(thm)],[256, 242])).
% 0.13/0.45 tff(258,plain,
% 0.13/0.45 (^[B: $i, A: $i, C: $i] : refl(((~organization(A)) | (capability(A, B) = capability(A, C)) | (~(internal_friction(A, B) = internal_friction(A, C))) | (~(stock_of_knowledge(A, B) = stock_of_knowledge(A, C)))) <=> ((~organization(A)) | (capability(A, B) = capability(A, C)) | (~(internal_friction(A, B) = internal_friction(A, C))) | (~(stock_of_knowledge(A, B) = stock_of_knowledge(A, C)))))),
% 0.13/0.45 inference(bind,[status(th)],[])).
% 0.13/0.45 tff(259,plain,
% 0.13/0.45 (![B: $i, A: $i, C: $i] : ((~organization(A)) | (capability(A, B) = capability(A, C)) | (~(internal_friction(A, B) = internal_friction(A, C))) | (~(stock_of_knowledge(A, B) = stock_of_knowledge(A, C)))) <=> ![B: $i, A: $i, C: $i] : ((~organization(A)) | (capability(A, B) = capability(A, C)) | (~(internal_friction(A, B) = internal_friction(A, C))) | (~(stock_of_knowledge(A, B) = stock_of_knowledge(A, C))))),
% 0.13/0.45 inference(quant_intro,[status(thm)],[258])).
% 0.13/0.45 tff(260,plain,
% 0.13/0.45 (![B: $i, A: $i, C: $i] : ((~organization(A)) | (capability(A, B) = capability(A, C)) | (~(internal_friction(A, B) = internal_friction(A, C))) | (~(stock_of_knowledge(A, B) = stock_of_knowledge(A, C)))) <=> ![B: $i, A: $i, C: $i] : ((~organization(A)) | (capability(A, B) = capability(A, C)) | (~(internal_friction(A, B) = internal_friction(A, C))) | (~(stock_of_knowledge(A, B) = stock_of_knowledge(A, C))))),
% 0.13/0.45 inference(rewrite,[status(thm)],[])).
% 0.13/0.45 tff(261,plain,
% 0.13/0.45 (^[B: $i, A: $i, C: $i] : trans(monotonicity(rewrite((((~organization(A)) | (~(stock_of_knowledge(A, B) = stock_of_knowledge(A, C)))) | (~(internal_friction(A, B) = internal_friction(A, C)))) <=> ((~organization(A)) | (~(internal_friction(A, B) = internal_friction(A, C))) | (~(stock_of_knowledge(A, B) = stock_of_knowledge(A, C))))), (((((~organization(A)) | (~(stock_of_knowledge(A, B) = stock_of_knowledge(A, C)))) | (~(internal_friction(A, B) = internal_friction(A, C)))) | (capability(A, B) = capability(A, C))) <=> (((~organization(A)) | (~(internal_friction(A, B) = internal_friction(A, C))) | (~(stock_of_knowledge(A, B) = stock_of_knowledge(A, C)))) | (capability(A, B) = capability(A, C))))), rewrite((((~organization(A)) | (~(internal_friction(A, B) = internal_friction(A, C))) | (~(stock_of_knowledge(A, B) = stock_of_knowledge(A, C)))) | (capability(A, B) = capability(A, C))) <=> ((~organization(A)) | (capability(A, B) = capability(A, C)) | (~(internal_friction(A, B) = internal_friction(A, C))) | (~(stock_of_knowledge(A, B) = stock_of_knowledge(A, C))))), (((((~organization(A)) | (~(stock_of_knowledge(A, B) = stock_of_knowledge(A, C)))) | (~(internal_friction(A, B) = internal_friction(A, C)))) | (capability(A, B) = capability(A, C))) <=> ((~organization(A)) | (capability(A, B) = capability(A, C)) | (~(internal_friction(A, B) = internal_friction(A, C))) | (~(stock_of_knowledge(A, B) = stock_of_knowledge(A, C))))))),
% 0.13/0.45 inference(bind,[status(th)],[])).
% 0.13/0.45 tff(262,plain,
% 0.13/0.45 (![B: $i, A: $i, C: $i] : ((((~organization(A)) | (~(stock_of_knowledge(A, B) = stock_of_knowledge(A, C)))) | (~(internal_friction(A, B) = internal_friction(A, C)))) | (capability(A, B) = capability(A, C))) <=> ![B: $i, A: $i, C: $i] : ((~organization(A)) | (capability(A, B) = capability(A, C)) | (~(internal_friction(A, B) = internal_friction(A, C))) | (~(stock_of_knowledge(A, B) = stock_of_knowledge(A, C))))),
% 0.13/0.45 inference(quant_intro,[status(thm)],[261])).
% 0.13/0.45 tff(263,axiom,(![B: $i, A: $i, C: $i] : ((((~organization(A)) | (~(stock_of_knowledge(A, B) = stock_of_knowledge(A, C)))) | (~(internal_friction(A, B) = internal_friction(A, C)))) | (capability(A, B) = capability(A, C)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','assumption_5_43')).
% 0.13/0.45 tff(264,plain,
% 0.13/0.45 (![B: $i, A: $i, C: $i] : ((~organization(A)) | (capability(A, B) = capability(A, C)) | (~(internal_friction(A, B) = internal_friction(A, C))) | (~(stock_of_knowledge(A, B) = stock_of_knowledge(A, C))))),
% 0.13/0.45 inference(modus_ponens,[status(thm)],[263, 262])).
% 0.13/0.45 tff(265,plain,
% 0.13/0.45 (![B: $i, A: $i, C: $i] : ((~organization(A)) | (capability(A, B) = capability(A, C)) | (~(internal_friction(A, B) = internal_friction(A, C))) | (~(stock_of_knowledge(A, B) = stock_of_knowledge(A, C))))),
% 0.13/0.45 inference(modus_ponens,[status(thm)],[264, 260])).
% 0.13/0.45 tff(266,plain,(
% 0.13/0.45 ![B: $i, A: $i, C: $i] : ((~organization(A)) | (capability(A, B) = capability(A, C)) | (~(internal_friction(A, B) = internal_friction(A, C))) | (~(stock_of_knowledge(A, B) = stock_of_knowledge(A, C))))),
% 0.13/0.45 inference(skolemize,[status(sab)],[265])).
% 0.13/0.45 tff(267,plain,
% 0.13/0.45 (![B: $i, A: $i, C: $i] : ((~organization(A)) | (capability(A, B) = capability(A, C)) | (~(internal_friction(A, B) = internal_friction(A, C))) | (~(stock_of_knowledge(A, B) = stock_of_knowledge(A, C))))),
% 0.13/0.45 inference(modus_ponens,[status(thm)],[266, 259])).
% 0.13/0.45 tff(268,plain,
% 0.13/0.45 (((~![B: $i, A: $i, C: $i] : ((~organization(A)) | (capability(A, B) = capability(A, C)) | (~(internal_friction(A, B) = internal_friction(A, C))) | (~(stock_of_knowledge(A, B) = stock_of_knowledge(A, C))))) | ((~organization(sk1)) | (capability(sk1, sk3) = capability(sk1, sk2)) | (~(internal_friction(sk1, sk3) = internal_friction(sk1, sk2))) | (~(stock_of_knowledge(sk1, sk3) = stock_of_knowledge(sk1, sk2))))) <=> ((~![B: $i, A: $i, C: $i] : ((~organization(A)) | (capability(A, B) = capability(A, C)) | (~(internal_friction(A, B) = internal_friction(A, C))) | (~(stock_of_knowledge(A, B) = stock_of_knowledge(A, C))))) | (~organization(sk1)) | (capability(sk1, sk3) = capability(sk1, sk2)) | (~(internal_friction(sk1, sk3) = internal_friction(sk1, sk2))) | (~(stock_of_knowledge(sk1, sk3) = stock_of_knowledge(sk1, sk2))))),
% 0.13/0.46 inference(rewrite,[status(thm)],[])).
% 0.13/0.46 tff(269,plain,
% 0.13/0.46 ((~![B: $i, A: $i, C: $i] : ((~organization(A)) | (capability(A, B) = capability(A, C)) | (~(internal_friction(A, B) = internal_friction(A, C))) | (~(stock_of_knowledge(A, B) = stock_of_knowledge(A, C))))) | ((~organization(sk1)) | (capability(sk1, sk3) = capability(sk1, sk2)) | (~(internal_friction(sk1, sk3) = internal_friction(sk1, sk2))) | (~(stock_of_knowledge(sk1, sk3) = stock_of_knowledge(sk1, sk2))))),
% 0.13/0.46 inference(quant_inst,[status(thm)],[])).
% 0.13/0.46 tff(270,plain,
% 0.13/0.46 ((~![B: $i, A: $i, C: $i] : ((~organization(A)) | (capability(A, B) = capability(A, C)) | (~(internal_friction(A, B) = internal_friction(A, C))) | (~(stock_of_knowledge(A, B) = stock_of_knowledge(A, C))))) | (~organization(sk1)) | (capability(sk1, sk3) = capability(sk1, sk2)) | (~(internal_friction(sk1, sk3) = internal_friction(sk1, sk2))) | (~(stock_of_knowledge(sk1, sk3) = stock_of_knowledge(sk1, sk2)))),
% 0.21/0.46 inference(modus_ponens,[status(thm)],[269, 268])).
% 0.21/0.46 tff(271,plain,
% 0.21/0.46 ((capability(sk1, sk3) = capability(sk1, sk2)) | (~(internal_friction(sk1, sk3) = internal_friction(sk1, sk2))) | (~(stock_of_knowledge(sk1, sk3) = stock_of_knowledge(sk1, sk2)))),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[270, 267, 42])).
% 0.21/0.46 tff(272,plain,
% 0.21/0.46 (capability(sk1, sk3) = capability(sk1, sk2)),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[271, 257, 194])).
% 0.21/0.46 tff(273,plain,
% 0.21/0.46 (greater_or_equal(capability(sk1, sk3), capability(sk1, sk2)) <=> greater_or_equal(capability(sk1, sk2), capability(sk1, sk2))),
% 0.21/0.46 inference(monotonicity,[status(thm)],[272])).
% 0.21/0.46 tff(274,plain,
% 0.21/0.46 ((~greater_or_equal(capability(sk1, sk3), capability(sk1, sk2))) <=> (~greater_or_equal(capability(sk1, sk2), capability(sk1, sk2)))),
% 0.21/0.46 inference(monotonicity,[status(thm)],[273])).
% 0.21/0.46 tff(275,plain,
% 0.21/0.46 (~greater_or_equal(capability(sk1, sk2), capability(sk1, sk2))),
% 0.21/0.46 inference(modus_ponens,[status(thm)],[178, 274])).
% 0.21/0.46 tff(276,plain,
% 0.21/0.46 ((~![B: $i] : greater_or_equal(B, B)) | greater_or_equal(capability(sk1, sk2), capability(sk1, sk2))),
% 0.21/0.46 inference(quant_inst,[status(thm)],[])).
% 0.21/0.46 tff(277,plain,
% 0.21/0.46 ($false),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[276, 138, 275])).
% 0.21/0.46 % SZS output end Proof
% 0.21/0.46 % E exiting
%------------------------------------------------------------------------------