%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : MGT051-1 : TPTP v9.3.0. Released v2.4.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : run_E %s %d THM
% Computer : n029.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 8 06:24:07 AM UTC 2026
% Result : Unsatisfiable 0.13s 0.43s
% Output : Proof 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT051-1 : TPTP v9.3.0. Released v2.4.0.
% 0.00/0.03 % Command : run_E %s %d THM
% 0.08/0.35 % Computer : n029.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 7 13:23:28 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.13/0.43 % SZS status Unsatisfiable
% 0.13/0.43 % SZS output start Proof
% 0.13/0.43 tff(greater_or_equal_type, type, (
% 0.13/0.43 greater_or_equal: ( $i * $i ) > $o)).
% 0.13/0.43 tff(position_type, type, (
% 0.13/0.43 position: ( $i * $i ) > $i)).
% 0.13/0.43 tff(sk5_type, type, (
% 0.13/0.43 sk5: $i)).
% 0.13/0.43 tff(sk2_type, type, (
% 0.13/0.43 sk2: $i)).
% 0.13/0.43 tff(sk6_type, type, (
% 0.13/0.43 sk6: $i)).
% 0.13/0.43 tff(external_ties_type, type, (
% 0.13/0.43 external_ties: ( $i * $i ) > $i)).
% 0.13/0.43 tff(organization_type, type, (
% 0.13/0.43 organization: $i > $o)).
% 0.13/0.43 tff(greater_type, type, (
% 0.13/0.43 greater: ( $i * $i ) > $o)).
% 0.13/0.43 tff(capability_type, type, (
% 0.13/0.43 capability: ( $i * $i ) > $i)).
% 0.13/0.43 tff(smaller_type, type, (
% 0.13/0.43 smaller: ( $i * $i ) > $o)).
% 0.13/0.43 tff(internal_friction_type, type, (
% 0.13/0.43 internal_friction: ( $i * $i ) > $i)).
% 0.13/0.43 tff(age_type, type, (
% 0.13/0.43 age: ( $i * $i ) > $i)).
% 0.13/0.43 tff(smaller_or_equal_type, type, (
% 0.13/0.43 smaller_or_equal: ( $i * $i ) > $o)).
% 0.13/0.43 tff(stock_of_knowledge_type, type, (
% 0.13/0.43 stock_of_knowledge: ( $i * $i ) > $i)).
% 0.13/0.43 tff(hazard_of_mortality_type, type, (
% 0.13/0.43 hazard_of_mortality: ( $i * $i ) > $i)).
% 0.13/0.43 tff(sk3_type, type, (
% 0.13/0.43 sk3: $i)).
% 0.13/0.43 tff(sk4_type, type, (
% 0.13/0.43 sk4: $i)).
% 0.13/0.43 tff(has_immunity_type, type, (
% 0.13/0.43 has_immunity: ( $i * $i ) > $o)).
% 0.13/0.43 tff(eta_type, type, (
% 0.13/0.43 eta: $i)).
% 0.13/0.43 tff(has_endowment_type, type, (
% 0.13/0.43 has_endowment: $i > $o)).
% 0.13/0.43 tff(1,plain,
% 0.13/0.43 (organization(sk2) <=> organization(sk2)),
% 0.13/0.43 inference(rewrite,[status(thm)],[])).
% 0.13/0.43 tff(2,axiom,(organization(sk2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','theorem_4_61')).
% 0.13/0.43 tff(3,plain,
% 0.13/0.43 (organization(sk2)),
% 0.13/0.43 inference(modus_ponens,[status(thm)],[2, 1])).
% 0.13/0.43 tff(4,plain,
% 0.13/0.43 (^[B: $i, A: $i, C: $i] : refl(((~organization(A)) | (external_ties(A, B) = external_ties(A, C))) <=> ((~organization(A)) | (external_ties(A, B) = external_ties(A, C))))),
% 0.13/0.43 inference(bind,[status(th)],[])).
% 0.13/0.43 tff(5,plain,
% 0.13/0.43 (![B: $i, A: $i, C: $i] : ((~organization(A)) | (external_ties(A, B) = external_ties(A, C))) <=> ![B: $i, A: $i, C: $i] : ((~organization(A)) | (external_ties(A, B) = external_ties(A, C)))),
% 0.13/0.43 inference(quant_intro,[status(thm)],[4])).
% 0.13/0.43 tff(6,plain,
% 0.13/0.43 (![B: $i, A: $i, C: $i] : ((~organization(A)) | (external_ties(A, B) = external_ties(A, C))) <=> ![B: $i, A: $i, C: $i] : ((~organization(A)) | (external_ties(A, B) = external_ties(A, C)))),
% 0.13/0.43 inference(rewrite,[status(thm)],[])).
% 0.13/0.43 tff(7,axiom,(![B: $i, A: $i, C: $i] : ((~organization(A)) | (external_ties(A, B) = external_ties(A, C)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','assumption_11_59')).
% 0.13/0.43 tff(8,plain,
% 0.13/0.43 (![B: $i, A: $i, C: $i] : ((~organization(A)) | (external_ties(A, B) = external_ties(A, C)))),
% 0.13/0.43 inference(modus_ponens,[status(thm)],[7, 6])).
% 0.13/0.43 tff(9,plain,(
% 0.13/0.43 ![B: $i, A: $i, C: $i] : ((~organization(A)) | (external_ties(A, B) = external_ties(A, C)))),
% 0.13/0.43 inference(skolemize,[status(sab)],[8])).
% 0.13/0.43 tff(10,plain,
% 0.13/0.43 (![B: $i, A: $i, C: $i] : ((~organization(A)) | (external_ties(A, B) = external_ties(A, C)))),
% 0.13/0.43 inference(modus_ponens,[status(thm)],[9, 5])).
% 0.13/0.43 tff(11,plain,
% 0.13/0.43 (((~![B: $i, A: $i, C: $i] : ((~organization(A)) | (external_ties(A, B) = external_ties(A, C)))) | ((~organization(sk2)) | (external_ties(sk2, sk6) = external_ties(sk2, sk5)))) <=> ((~![B: $i, A: $i, C: $i] : ((~organization(A)) | (external_ties(A, B) = external_ties(A, C)))) | (~organization(sk2)) | (external_ties(sk2, sk6) = external_ties(sk2, sk5)))),
% 0.13/0.43 inference(rewrite,[status(thm)],[])).
% 0.13/0.43 tff(12,plain,
% 0.13/0.43 ((~![B: $i, A: $i, C: $i] : ((~organization(A)) | (external_ties(A, B) = external_ties(A, C)))) | ((~organization(sk2)) | (external_ties(sk2, sk6) = external_ties(sk2, sk5)))),
% 0.13/0.43 inference(quant_inst,[status(thm)],[])).
% 0.13/0.43 tff(13,plain,
% 0.13/0.43 ((~![B: $i, A: $i, C: $i] : ((~organization(A)) | (external_ties(A, B) = external_ties(A, C)))) | (~organization(sk2)) | (external_ties(sk2, sk6) = external_ties(sk2, sk5))),
% 0.13/0.43 inference(modus_ponens,[status(thm)],[12, 11])).
% 0.13/0.43 tff(14,plain,
% 0.13/0.43 (external_ties(sk2, sk6) = external_ties(sk2, sk5)),
% 0.13/0.43 inference(unit_resolution,[status(thm)],[13, 10, 3])).
% 0.13/0.43 tff(15,plain,
% 0.13/0.43 (^[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)))))),
% 0.13/0.43 inference(bind,[status(th)],[])).
% 0.13/0.43 tff(16,plain,
% 0.13/0.43 (![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))))),
% 0.13/0.43 inference(quant_intro,[status(thm)],[15])).
% 0.13/0.43 tff(17,plain,
% 0.13/0.43 (![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))))),
% 0.13/0.43 inference(rewrite,[status(thm)],[])).
% 0.13/0.43 tff(18,plain,
% 0.13/0.43 (^[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)))))),
% 0.13/0.43 inference(bind,[status(th)],[])).
% 0.13/0.43 tff(19,plain,
% 0.13/0.43 (![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))))),
% 0.13/0.43 inference(quant_intro,[status(thm)],[18])).
% 0.13/0.43 tff(20,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_57')).
% 0.13/0.43 tff(21,plain,
% 0.13/0.43 (![B: $i, A: $i, C: $i] : ((~organization(A)) | (position(A, B) = position(A, C)) | (~(external_ties(A, B) = external_ties(A, C))))),
% 0.13/0.43 inference(modus_ponens,[status(thm)],[20, 19])).
% 0.13/0.43 tff(22,plain,
% 0.13/0.43 (![B: $i, A: $i, C: $i] : ((~organization(A)) | (position(A, B) = position(A, C)) | (~(external_ties(A, B) = external_ties(A, C))))),
% 0.13/0.43 inference(modus_ponens,[status(thm)],[21, 17])).
% 0.13/0.43 tff(23,plain,(
% 0.13/0.43 ![B: $i, A: $i, C: $i] : ((~organization(A)) | (position(A, B) = position(A, C)) | (~(external_ties(A, B) = external_ties(A, C))))),
% 0.13/0.43 inference(skolemize,[status(sab)],[22])).
% 0.13/0.43 tff(24,plain,
% 0.13/0.43 (![B: $i, A: $i, C: $i] : ((~organization(A)) | (position(A, B) = position(A, C)) | (~(external_ties(A, B) = external_ties(A, C))))),
% 0.13/0.43 inference(modus_ponens,[status(thm)],[23, 16])).
% 0.13/0.43 tff(25,plain,
% 0.13/0.43 (((~![B: $i, A: $i, C: $i] : ((~organization(A)) | (position(A, B) = position(A, C)) | (~(external_ties(A, B) = external_ties(A, C))))) | ((~organization(sk2)) | (position(sk2, sk6) = position(sk2, sk5)) | (~(external_ties(sk2, sk6) = external_ties(sk2, sk5))))) <=> ((~![B: $i, A: $i, C: $i] : ((~organization(A)) | (position(A, B) = position(A, C)) | (~(external_ties(A, B) = external_ties(A, C))))) | (~organization(sk2)) | (position(sk2, sk6) = position(sk2, sk5)) | (~(external_ties(sk2, sk6) = external_ties(sk2, sk5))))),
% 0.13/0.43 inference(rewrite,[status(thm)],[])).
% 0.13/0.43 tff(26,plain,
% 0.13/0.43 ((~![B: $i, A: $i, C: $i] : ((~organization(A)) | (position(A, B) = position(A, C)) | (~(external_ties(A, B) = external_ties(A, C))))) | ((~organization(sk2)) | (position(sk2, sk6) = position(sk2, sk5)) | (~(external_ties(sk2, sk6) = external_ties(sk2, sk5))))),
% 0.13/0.43 inference(quant_inst,[status(thm)],[])).
% 0.13/0.43 tff(27,plain,
% 0.13/0.43 ((~![B: $i, A: $i, C: $i] : ((~organization(A)) | (position(A, B) = position(A, C)) | (~(external_ties(A, B) = external_ties(A, C))))) | (~organization(sk2)) | (position(sk2, sk6) = position(sk2, sk5)) | (~(external_ties(sk2, sk6) = external_ties(sk2, sk5)))),
% 0.13/0.43 inference(modus_ponens,[status(thm)],[26, 25])).
% 0.13/0.43 tff(28,plain,
% 0.13/0.43 ((position(sk2, sk6) = position(sk2, sk5)) | (~(external_ties(sk2, sk6) = external_ties(sk2, sk5)))),
% 0.13/0.43 inference(unit_resolution,[status(thm)],[27, 24, 3])).
% 0.13/0.43 tff(29,plain,
% 0.13/0.43 (position(sk2, sk6) = position(sk2, sk5)),
% 0.13/0.43 inference(unit_resolution,[status(thm)],[28, 14])).
% 0.13/0.43 tff(30,plain,
% 0.13/0.43 (greater_or_equal(position(sk2, sk5), position(sk2, sk6)) <=> greater_or_equal(position(sk2, sk5), position(sk2, sk5))),
% 0.13/0.43 inference(monotonicity,[status(thm)],[29])).
% 0.13/0.43 tff(31,plain,
% 0.13/0.43 ((~greater_or_equal(position(sk2, sk5), position(sk2, sk6))) <=> (~greater_or_equal(position(sk2, sk5), position(sk2, sk5)))),
% 0.13/0.43 inference(monotonicity,[status(thm)],[30])).
% 0.13/0.43 tff(32,assumption,(~smaller(capability(sk2, sk6), capability(sk2, sk5))), introduced(assumption)).
% 0.13/0.43 tff(33,assumption,(~greater(internal_friction(sk2, sk6), internal_friction(sk2, sk5))), introduced(assumption)).
% 0.13/0.43 tff(34,plain,
% 0.13/0.43 (greater(age(sk2, sk6), age(sk2, sk5)) <=> greater(age(sk2, sk6), age(sk2, sk5))),
% 0.13/0.43 inference(rewrite,[status(thm)],[])).
% 0.13/0.43 tff(35,axiom,(greater(age(sk2, sk6), age(sk2, sk5))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','theorem_4_66')).
% 0.13/0.43 tff(36,plain,
% 0.13/0.43 (greater(age(sk2, sk6), age(sk2, sk5))),
% 0.13/0.43 inference(modus_ponens,[status(thm)],[35, 34])).
% 0.13/0.43 tff(37,plain,
% 0.13/0.43 (^[B: $i, A: $i, C: $i] : refl(((~organization(A)) | greater(internal_friction(A, B), internal_friction(A, C)) | (~greater(age(A, B), age(A, C)))) <=> ((~organization(A)) | greater(internal_friction(A, B), internal_friction(A, C)) | (~greater(age(A, B), age(A, C)))))),
% 0.13/0.43 inference(bind,[status(th)],[])).
% 0.13/0.43 tff(38,plain,
% 0.13/0.43 (![B: $i, A: $i, C: $i] : ((~organization(A)) | greater(internal_friction(A, B), internal_friction(A, C)) | (~greater(age(A, B), age(A, C)))) <=> ![B: $i, A: $i, C: $i] : ((~organization(A)) | greater(internal_friction(A, B), internal_friction(A, C)) | (~greater(age(A, B), age(A, C))))),
% 0.13/0.43 inference(quant_intro,[status(thm)],[37])).
% 0.13/0.43 tff(39,plain,
% 0.13/0.43 (![B: $i, A: $i, C: $i] : ((~organization(A)) | greater(internal_friction(A, B), internal_friction(A, C)) | (~greater(age(A, B), age(A, C)))) <=> ![B: $i, A: $i, C: $i] : ((~organization(A)) | greater(internal_friction(A, B), internal_friction(A, C)) | (~greater(age(A, B), age(A, C))))),
% 0.13/0.43 inference(rewrite,[status(thm)],[])).
% 0.13/0.43 tff(40,plain,
% 0.13/0.43 (^[B: $i, A: $i, C: $i] : rewrite((((~organization(A)) | (~greater(age(A, B), age(A, C)))) | greater(internal_friction(A, B), internal_friction(A, C))) <=> ((~organization(A)) | greater(internal_friction(A, B), internal_friction(A, C)) | (~greater(age(A, B), age(A, C)))))),
% 0.13/0.43 inference(bind,[status(th)],[])).
% 0.13/0.43 tff(41,plain,
% 0.13/0.43 (![B: $i, A: $i, C: $i] : (((~organization(A)) | (~greater(age(A, B), age(A, C)))) | greater(internal_friction(A, B), internal_friction(A, C))) <=> ![B: $i, A: $i, C: $i] : ((~organization(A)) | greater(internal_friction(A, B), internal_friction(A, C)) | (~greater(age(A, B), age(A, C))))),
% 0.13/0.43 inference(quant_intro,[status(thm)],[40])).
% 0.13/0.43 tff(42,axiom,(![B: $i, A: $i, C: $i] : (((~organization(A)) | (~greater(age(A, B), age(A, C)))) | greater(internal_friction(A, B), internal_friction(A, C)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','assumption_12_60')).
% 0.13/0.43 tff(43,plain,
% 0.13/0.43 (![B: $i, A: $i, C: $i] : ((~organization(A)) | greater(internal_friction(A, B), internal_friction(A, C)) | (~greater(age(A, B), age(A, C))))),
% 0.13/0.43 inference(modus_ponens,[status(thm)],[42, 41])).
% 0.13/0.43 tff(44,plain,
% 0.13/0.43 (![B: $i, A: $i, C: $i] : ((~organization(A)) | greater(internal_friction(A, B), internal_friction(A, C)) | (~greater(age(A, B), age(A, C))))),
% 0.13/0.43 inference(modus_ponens,[status(thm)],[43, 39])).
% 0.13/0.43 tff(45,plain,(
% 0.13/0.43 ![B: $i, A: $i, C: $i] : ((~organization(A)) | greater(internal_friction(A, B), internal_friction(A, C)) | (~greater(age(A, B), age(A, C))))),
% 0.13/0.43 inference(skolemize,[status(sab)],[44])).
% 0.13/0.43 tff(46,plain,
% 0.13/0.43 (![B: $i, A: $i, C: $i] : ((~organization(A)) | greater(internal_friction(A, B), internal_friction(A, C)) | (~greater(age(A, B), age(A, C))))),
% 0.13/0.43 inference(modus_ponens,[status(thm)],[45, 38])).
% 0.13/0.43 tff(47,plain,
% 0.13/0.43 (((~![B: $i, A: $i, C: $i] : ((~organization(A)) | greater(internal_friction(A, B), internal_friction(A, C)) | (~greater(age(A, B), age(A, C))))) | ((~greater(age(sk2, sk6), age(sk2, sk5))) | (~organization(sk2)) | greater(internal_friction(sk2, sk6), internal_friction(sk2, sk5)))) <=> ((~![B: $i, A: $i, C: $i] : ((~organization(A)) | greater(internal_friction(A, B), internal_friction(A, C)) | (~greater(age(A, B), age(A, C))))) | (~greater(age(sk2, sk6), age(sk2, sk5))) | (~organization(sk2)) | greater(internal_friction(sk2, sk6), internal_friction(sk2, sk5)))),
% 0.13/0.43 inference(rewrite,[status(thm)],[])).
% 0.13/0.43 tff(48,plain,
% 0.13/0.43 (((~organization(sk2)) | greater(internal_friction(sk2, sk6), internal_friction(sk2, sk5)) | (~greater(age(sk2, sk6), age(sk2, sk5)))) <=> ((~greater(age(sk2, sk6), age(sk2, sk5))) | (~organization(sk2)) | greater(internal_friction(sk2, sk6), internal_friction(sk2, sk5)))),
% 0.13/0.43 inference(rewrite,[status(thm)],[])).
% 0.13/0.43 tff(49,plain,
% 0.13/0.43 (((~![B: $i, A: $i, C: $i] : ((~organization(A)) | greater(internal_friction(A, B), internal_friction(A, C)) | (~greater(age(A, B), age(A, C))))) | ((~organization(sk2)) | greater(internal_friction(sk2, sk6), internal_friction(sk2, sk5)) | (~greater(age(sk2, sk6), age(sk2, sk5))))) <=> ((~![B: $i, A: $i, C: $i] : ((~organization(A)) | greater(internal_friction(A, B), internal_friction(A, C)) | (~greater(age(A, B), age(A, C))))) | ((~greater(age(sk2, sk6), age(sk2, sk5))) | (~organization(sk2)) | greater(internal_friction(sk2, sk6), internal_friction(sk2, sk5))))),
% 0.13/0.43 inference(monotonicity,[status(thm)],[48])).
% 0.13/0.43 tff(50,plain,
% 0.13/0.43 (((~![B: $i, A: $i, C: $i] : ((~organization(A)) | greater(internal_friction(A, B), internal_friction(A, C)) | (~greater(age(A, B), age(A, C))))) | ((~organization(sk2)) | greater(internal_friction(sk2, sk6), internal_friction(sk2, sk5)) | (~greater(age(sk2, sk6), age(sk2, sk5))))) <=> ((~![B: $i, A: $i, C: $i] : ((~organization(A)) | greater(internal_friction(A, B), internal_friction(A, C)) | (~greater(age(A, B), age(A, C))))) | (~greater(age(sk2, sk6), age(sk2, sk5))) | (~organization(sk2)) | greater(internal_friction(sk2, sk6), internal_friction(sk2, sk5)))),
% 0.13/0.43 inference(transitivity,[status(thm)],[49, 47])).
% 0.13/0.43 tff(51,plain,
% 0.13/0.43 ((~![B: $i, A: $i, C: $i] : ((~organization(A)) | greater(internal_friction(A, B), internal_friction(A, C)) | (~greater(age(A, B), age(A, C))))) | ((~organization(sk2)) | greater(internal_friction(sk2, sk6), internal_friction(sk2, sk5)) | (~greater(age(sk2, sk6), age(sk2, sk5))))),
% 0.13/0.43 inference(quant_inst,[status(thm)],[])).
% 0.13/0.43 tff(52,plain,
% 0.13/0.43 ((~![B: $i, A: $i, C: $i] : ((~organization(A)) | greater(internal_friction(A, B), internal_friction(A, C)) | (~greater(age(A, B), age(A, C))))) | (~greater(age(sk2, sk6), age(sk2, sk5))) | (~organization(sk2)) | greater(internal_friction(sk2, sk6), internal_friction(sk2, sk5))),
% 0.13/0.43 inference(modus_ponens,[status(thm)],[51, 50])).
% 0.13/0.43 tff(53,plain,
% 0.13/0.43 ($false),
% 0.13/0.43 inference(unit_resolution,[status(thm)],[52, 46, 3, 36, 33])).
% 0.13/0.43 tff(54,plain,(greater(internal_friction(sk2, sk6), internal_friction(sk2, sk5))), inference(lemma,lemma(discharge,[]))).
% 0.13/0.43 tff(55,plain,
% 0.13/0.43 (^[B: $i, A: $i, C: $i] : refl(((~organization(A)) | (stock_of_knowledge(A, B) = stock_of_knowledge(A, C))) <=> ((~organization(A)) | (stock_of_knowledge(A, B) = stock_of_knowledge(A, C))))),
% 0.13/0.43 inference(bind,[status(th)],[])).
% 0.13/0.43 tff(56,plain,
% 0.13/0.43 (![B: $i, A: $i, C: $i] : ((~organization(A)) | (stock_of_knowledge(A, B) = stock_of_knowledge(A, C))) <=> ![B: $i, A: $i, C: $i] : ((~organization(A)) | (stock_of_knowledge(A, B) = stock_of_knowledge(A, C)))),
% 0.13/0.43 inference(quant_intro,[status(thm)],[55])).
% 0.13/0.43 tff(57,plain,
% 0.13/0.43 (![B: $i, A: $i, C: $i] : ((~organization(A)) | (stock_of_knowledge(A, B) = stock_of_knowledge(A, C))) <=> ![B: $i, A: $i, C: $i] : ((~organization(A)) | (stock_of_knowledge(A, B) = stock_of_knowledge(A, C)))),
% 0.13/0.43 inference(rewrite,[status(thm)],[])).
% 0.13/0.43 tff(58,axiom,(![B: $i, A: $i, C: $i] : ((~organization(A)) | (stock_of_knowledge(A, B) = stock_of_knowledge(A, C)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','assumption_10_58')).
% 0.13/0.43 tff(59,plain,
% 0.13/0.43 (![B: $i, A: $i, C: $i] : ((~organization(A)) | (stock_of_knowledge(A, B) = stock_of_knowledge(A, C)))),
% 0.13/0.43 inference(modus_ponens,[status(thm)],[58, 57])).
% 0.13/0.43 tff(60,plain,(
% 0.13/0.43 ![B: $i, A: $i, C: $i] : ((~organization(A)) | (stock_of_knowledge(A, B) = stock_of_knowledge(A, C)))),
% 0.13/0.43 inference(skolemize,[status(sab)],[59])).
% 0.13/0.44 tff(61,plain,
% 0.13/0.44 (![B: $i, A: $i, C: $i] : ((~organization(A)) | (stock_of_knowledge(A, B) = stock_of_knowledge(A, C)))),
% 0.13/0.44 inference(modus_ponens,[status(thm)],[60, 56])).
% 0.13/0.44 tff(62,plain,
% 0.13/0.44 (((~![B: $i, A: $i, C: $i] : ((~organization(A)) | (stock_of_knowledge(A, B) = stock_of_knowledge(A, C)))) | ((~organization(sk2)) | (stock_of_knowledge(sk2, sk5) = stock_of_knowledge(sk2, sk6)))) <=> ((~![B: $i, A: $i, C: $i] : ((~organization(A)) | (stock_of_knowledge(A, B) = stock_of_knowledge(A, C)))) | (~organization(sk2)) | (stock_of_knowledge(sk2, sk5) = stock_of_knowledge(sk2, sk6)))),
% 0.13/0.44 inference(rewrite,[status(thm)],[])).
% 0.13/0.44 tff(63,plain,
% 0.13/0.44 ((~![B: $i, A: $i, C: $i] : ((~organization(A)) | (stock_of_knowledge(A, B) = stock_of_knowledge(A, C)))) | ((~organization(sk2)) | (stock_of_knowledge(sk2, sk5) = stock_of_knowledge(sk2, sk6)))),
% 0.13/0.44 inference(quant_inst,[status(thm)],[])).
% 0.13/0.44 tff(64,plain,
% 0.13/0.44 ((~![B: $i, A: $i, C: $i] : ((~organization(A)) | (stock_of_knowledge(A, B) = stock_of_knowledge(A, C)))) | (~organization(sk2)) | (stock_of_knowledge(sk2, sk5) = stock_of_knowledge(sk2, sk6))),
% 0.13/0.44 inference(modus_ponens,[status(thm)],[63, 62])).
% 0.13/0.44 tff(65,plain,
% 0.13/0.44 (stock_of_knowledge(sk2, sk5) = stock_of_knowledge(sk2, sk6)),
% 0.13/0.44 inference(unit_resolution,[status(thm)],[64, 61, 3])).
% 0.13/0.44 tff(66,plain,
% 0.13/0.44 (smaller_or_equal(stock_of_knowledge(sk2, sk6), stock_of_knowledge(sk2, sk5)) <=> smaller_or_equal(stock_of_knowledge(sk2, sk6), stock_of_knowledge(sk2, sk6))),
% 0.13/0.44 inference(monotonicity,[status(thm)],[65])).
% 0.13/0.44 tff(67,plain,
% 0.13/0.44 (smaller_or_equal(stock_of_knowledge(sk2, sk6), stock_of_knowledge(sk2, sk6)) <=> smaller_or_equal(stock_of_knowledge(sk2, sk6), stock_of_knowledge(sk2, sk5))),
% 0.13/0.44 inference(symmetry,[status(thm)],[66])).
% 0.13/0.44 tff(68,assumption,(~smaller_or_equal(stock_of_knowledge(sk2, sk6), stock_of_knowledge(sk2, sk6))), introduced(assumption)).
% 0.13/0.44 tff(69,plain,
% 0.13/0.44 (^[B: $i] : refl(smaller_or_equal(B, B) <=> smaller_or_equal(B, B))),
% 0.13/0.44 inference(bind,[status(th)],[])).
% 0.13/0.44 tff(70,plain,
% 0.13/0.44 (![B: $i] : smaller_or_equal(B, B) <=> ![B: $i] : smaller_or_equal(B, B)),
% 0.13/0.44 inference(quant_intro,[status(thm)],[69])).
% 0.13/0.44 tff(71,plain,
% 0.13/0.44 (![B: $i] : smaller_or_equal(B, B) <=> ![B: $i] : smaller_or_equal(B, B)),
% 0.13/0.44 inference(rewrite,[status(thm)],[])).
% 0.13/0.44 tff(72,plain,
% 0.13/0.44 (![B: $i, A: $i] : smaller_or_equal(B, B) <=> ![B: $i] : smaller_or_equal(B, B)),
% 0.13/0.44 inference(elim_unused_vars,[status(thm)],[])).
% 0.13/0.44 tff(73,plain,
% 0.13/0.44 (![B: $i, A: $i] : ((~(A = B)) | smaller_or_equal(A, B)) <=> ![B: $i, A: $i] : smaller_or_equal(B, B)),
% 0.13/0.44 inference(destructive_equality_resolution,[status(thm)],[])).
% 0.13/0.44 tff(74,plain,
% 0.13/0.44 (![B: $i, A: $i] : ((~(A = B)) | smaller_or_equal(A, B)) <=> ![B: $i] : smaller_or_equal(B, B)),
% 0.13/0.44 inference(transitivity,[status(thm)],[73, 72])).
% 0.13/0.44 tff(75,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')).
% 0.13/0.44 tff(76,plain,
% 0.13/0.44 (![B: $i] : smaller_or_equal(B, B)),
% 0.13/0.44 inference(modus_ponens,[status(thm)],[75, 74])).
% 0.13/0.44 tff(77,plain,
% 0.13/0.44 (![B: $i] : smaller_or_equal(B, B)),
% 0.13/0.44 inference(modus_ponens,[status(thm)],[76, 71])).
% 0.13/0.44 tff(78,plain,(
% 0.13/0.44 ![B: $i] : smaller_or_equal(B, B)),
% 0.13/0.44 inference(skolemize,[status(sab)],[77])).
% 0.13/0.44 tff(79,plain,
% 0.13/0.44 (![B: $i] : smaller_or_equal(B, B)),
% 0.13/0.44 inference(modus_ponens,[status(thm)],[78, 70])).
% 0.13/0.44 tff(80,plain,
% 0.13/0.44 ((~![B: $i] : smaller_or_equal(B, B)) | smaller_or_equal(stock_of_knowledge(sk2, sk6), stock_of_knowledge(sk2, sk6))),
% 0.13/0.44 inference(quant_inst,[status(thm)],[])).
% 0.13/0.44 tff(81,plain,
% 0.13/0.44 ($false),
% 0.13/0.44 inference(unit_resolution,[status(thm)],[80, 79, 68])).
% 0.13/0.44 tff(82,plain,(smaller_or_equal(stock_of_knowledge(sk2, sk6), stock_of_knowledge(sk2, sk6))), inference(lemma,lemma(discharge,[]))).
% 0.13/0.44 tff(83,plain,
% 0.13/0.44 (smaller_or_equal(stock_of_knowledge(sk2, sk6), stock_of_knowledge(sk2, sk5))),
% 0.13/0.44 inference(modus_ponens,[status(thm)],[82, 67])).
% 0.13/0.44 tff(84,assumption,(~smaller_or_equal(stock_of_knowledge(sk2, sk6), stock_of_knowledge(sk2, sk5))), introduced(assumption)).
% 0.13/0.44 tff(85,plain,
% 0.13/0.44 ($false),
% 0.13/0.44 inference(unit_resolution,[status(thm)],[84, 83])).
% 0.13/0.44 tff(86,plain,(smaller_or_equal(stock_of_knowledge(sk2, sk6), stock_of_knowledge(sk2, sk5))), inference(lemma,lemma(discharge,[]))).
% 0.13/0.44 tff(87,plain,
% 0.13/0.44 (^[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)))))),
% 0.13/0.44 inference(bind,[status(th)],[])).
% 0.13/0.44 tff(88,plain,
% 0.13/0.44 (![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))))),
% 0.13/0.44 inference(quant_intro,[status(thm)],[87])).
% 0.13/0.44 tff(89,plain,
% 0.13/0.44 (![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))))),
% 0.13/0.44 inference(rewrite,[status(thm)],[])).
% 0.13/0.44 tff(90,plain,
% 0.13/0.44 (^[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))))))),
% 0.13/0.44 inference(bind,[status(th)],[])).
% 0.13/0.44 tff(91,plain,
% 0.13/0.44 (![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))))),
% 0.13/0.44 inference(quant_intro,[status(thm)],[90])).
% 0.13/0.44 tff(92,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_54')).
% 0.13/0.44 tff(93,plain,
% 0.13/0.44 (![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))))),
% 0.13/0.44 inference(modus_ponens,[status(thm)],[92, 91])).
% 0.13/0.44 tff(94,plain,
% 0.13/0.44 (![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))))),
% 0.13/0.44 inference(modus_ponens,[status(thm)],[93, 89])).
% 0.13/0.44 tff(95,plain,(
% 0.13/0.44 ![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))))),
% 0.13/0.44 inference(skolemize,[status(sab)],[94])).
% 0.13/0.44 tff(96,plain,
% 0.13/0.44 (![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))))),
% 0.13/0.44 inference(modus_ponens,[status(thm)],[95, 88])).
% 0.13/0.44 tff(97,plain,
% 0.13/0.44 (((~![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(sk2)) | smaller(capability(sk2, sk6), capability(sk2, sk5)) | (~greater(internal_friction(sk2, sk6), internal_friction(sk2, sk5))) | (~smaller_or_equal(stock_of_knowledge(sk2, sk6), stock_of_knowledge(sk2, sk5))))) <=> ((~![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(sk2)) | smaller(capability(sk2, sk6), capability(sk2, sk5)) | (~greater(internal_friction(sk2, sk6), internal_friction(sk2, sk5))) | (~smaller_or_equal(stock_of_knowledge(sk2, sk6), stock_of_knowledge(sk2, sk5))))),
% 0.13/0.44 inference(rewrite,[status(thm)],[])).
% 0.13/0.44 tff(98,plain,
% 0.13/0.44 ((~![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(sk2)) | smaller(capability(sk2, sk6), capability(sk2, sk5)) | (~greater(internal_friction(sk2, sk6), internal_friction(sk2, sk5))) | (~smaller_or_equal(stock_of_knowledge(sk2, sk6), stock_of_knowledge(sk2, sk5))))),
% 0.13/0.44 inference(quant_inst,[status(thm)],[])).
% 0.13/0.44 tff(99,plain,
% 0.13/0.44 ((~![B: $i, A: $i, C: $i] : ((~organization(A)) | smaller(capability(A, B), capability(A, C)) | (~greater(internal_friction(A, B), internal_friction(A, C))) | (~smaller_or_equal(stock_of_knowledge(A, B), stock_of_knowledge(A, C))))) | (~organization(sk2)) | smaller(capability(sk2, sk6), capability(sk2, sk5)) | (~greater(internal_friction(sk2, sk6), internal_friction(sk2, sk5))) | (~smaller_or_equal(stock_of_knowledge(sk2, sk6), stock_of_knowledge(sk2, sk5)))),
% 0.13/0.44 inference(modus_ponens,[status(thm)],[98, 97])).
% 0.13/0.44 tff(100,plain,
% 0.13/0.44 ($false),
% 0.13/0.44 inference(unit_resolution,[status(thm)],[99, 96, 3, 86, 54, 32])).
% 0.13/0.44 tff(101,plain,(smaller(capability(sk2, sk6), capability(sk2, sk5))), inference(lemma,lemma(discharge,[]))).
% 0.13/0.44 tff(102,plain,
% 0.13/0.44 (^[B: $i, A: $i] : refl(((~smaller(A, B)) | greater(B, A)) <=> ((~smaller(A, B)) | greater(B, A)))),
% 0.13/0.44 inference(bind,[status(th)],[])).
% 0.13/0.44 tff(103,plain,
% 0.13/0.44 (![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A)) <=> ![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))),
% 0.13/0.44 inference(quant_intro,[status(thm)],[102])).
% 0.13/0.44 tff(104,plain,
% 0.13/0.44 (![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A)) <=> ![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))),
% 0.13/0.44 inference(rewrite,[status(thm)],[])).
% 0.13/0.44 tff(105,axiom,(![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))), file('/export/starexec/sandbox/benchmark/Axioms/MGT001-0.ax','definition_smaller_7')).
% 0.13/0.44 tff(106,plain,
% 0.13/0.44 (![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))),
% 0.13/0.44 inference(modus_ponens,[status(thm)],[105, 104])).
% 0.13/0.44 tff(107,plain,(
% 0.13/0.44 ![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))),
% 0.13/0.44 inference(skolemize,[status(sab)],[106])).
% 0.13/0.44 tff(108,plain,
% 0.13/0.44 (![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))),
% 0.13/0.44 inference(modus_ponens,[status(thm)],[107, 103])).
% 0.13/0.44 tff(109,plain,
% 0.13/0.44 (((~![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))) | ((~smaller(capability(sk2, sk6), capability(sk2, sk5))) | greater(capability(sk2, sk5), capability(sk2, sk6)))) <=> ((~![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))) | (~smaller(capability(sk2, sk6), capability(sk2, sk5))) | greater(capability(sk2, sk5), capability(sk2, sk6)))),
% 0.13/0.44 inference(rewrite,[status(thm)],[])).
% 0.13/0.44 tff(110,plain,
% 0.13/0.44 ((~![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))) | ((~smaller(capability(sk2, sk6), capability(sk2, sk5))) | greater(capability(sk2, sk5), capability(sk2, sk6)))),
% 0.13/0.44 inference(quant_inst,[status(thm)],[])).
% 0.13/0.44 tff(111,plain,
% 0.13/0.44 ((~![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))) | (~smaller(capability(sk2, sk6), capability(sk2, sk5))) | greater(capability(sk2, sk5), capability(sk2, sk6))),
% 0.13/0.44 inference(modus_ponens,[status(thm)],[110, 109])).
% 0.13/0.44 tff(112,plain,
% 0.13/0.44 (greater(capability(sk2, sk5), capability(sk2, sk6))),
% 0.13/0.44 inference(unit_resolution,[status(thm)],[111, 108, 101])).
% 0.13/0.44 tff(113,plain,
% 0.13/0.44 (smaller_or_equal(age(sk2, sk4), eta) <=> smaller_or_equal(age(sk2, sk4), eta)),
% 0.13/0.44 inference(rewrite,[status(thm)],[])).
% 0.13/0.44 tff(114,axiom,(smaller_or_equal(age(sk2, sk4), eta)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','theorem_4_64')).
% 0.13/0.44 tff(115,plain,
% 0.13/0.44 (smaller_or_equal(age(sk2, sk4), eta)),
% 0.13/0.44 inference(modus_ponens,[status(thm)],[114, 113])).
% 0.13/0.44 tff(116,plain,
% 0.13/0.44 (has_endowment(sk2) <=> has_endowment(sk2)),
% 0.13/0.44 inference(rewrite,[status(thm)],[])).
% 0.13/0.44 tff(117,axiom,(has_endowment(sk2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','theorem_4_62')).
% 0.13/0.44 tff(118,plain,
% 0.13/0.44 (has_endowment(sk2)),
% 0.13/0.44 inference(modus_ponens,[status(thm)],[117, 116])).
% 0.13/0.44 tff(119,plain,
% 0.13/0.44 (^[B: $i, A: $i] : refl(((~has_endowment(A)) | has_immunity(A, B) | (~smaller_or_equal(age(A, B), eta))) <=> ((~has_endowment(A)) | has_immunity(A, B) | (~smaller_or_equal(age(A, B), eta))))),
% 0.13/0.44 inference(bind,[status(th)],[])).
% 0.13/0.44 tff(120,plain,
% 0.13/0.44 (![B: $i, A: $i] : ((~has_endowment(A)) | has_immunity(A, B) | (~smaller_or_equal(age(A, B), eta))) <=> ![B: $i, A: $i] : ((~has_endowment(A)) | has_immunity(A, B) | (~smaller_or_equal(age(A, B), eta)))),
% 0.13/0.44 inference(quant_intro,[status(thm)],[119])).
% 0.13/0.44 tff(121,plain,
% 0.13/0.44 (![B: $i, A: $i] : ((~has_endowment(A)) | has_immunity(A, B) | (~smaller_or_equal(age(A, B), eta))) <=> ![B: $i, A: $i] : ((~has_endowment(A)) | has_immunity(A, B) | (~smaller_or_equal(age(A, B), eta)))),
% 0.13/0.44 inference(rewrite,[status(thm)],[])).
% 0.13/0.44 tff(122,plain,
% 0.13/0.44 (^[B: $i, A: $i] : rewrite((((~has_endowment(A)) | (~smaller_or_equal(age(A, B), eta))) | has_immunity(A, B)) <=> ((~has_endowment(A)) | has_immunity(A, B) | (~smaller_or_equal(age(A, B), eta))))),
% 0.13/0.44 inference(bind,[status(th)],[])).
% 0.13/0.44 tff(123,plain,
% 0.13/0.44 (![B: $i, A: $i] : (((~has_endowment(A)) | (~smaller_or_equal(age(A, B), eta))) | has_immunity(A, B)) <=> ![B: $i, A: $i] : ((~has_endowment(A)) | has_immunity(A, B) | (~smaller_or_equal(age(A, B), eta)))),
% 0.13/0.44 inference(quant_intro,[status(thm)],[122])).
% 0.13/0.44 tff(124,axiom,(![B: $i, A: $i] : (((~has_endowment(A)) | (~smaller_or_equal(age(A, B), eta))) | has_immunity(A, B))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','definition_1_42')).
% 0.13/0.44 tff(125,plain,
% 0.13/0.44 (![B: $i, A: $i] : ((~has_endowment(A)) | has_immunity(A, B) | (~smaller_or_equal(age(A, B), eta)))),
% 0.13/0.44 inference(modus_ponens,[status(thm)],[124, 123])).
% 0.13/0.44 tff(126,plain,
% 0.13/0.44 (![B: $i, A: $i] : ((~has_endowment(A)) | has_immunity(A, B) | (~smaller_or_equal(age(A, B), eta)))),
% 0.13/0.44 inference(modus_ponens,[status(thm)],[125, 121])).
% 0.13/0.44 tff(127,plain,(
% 0.13/0.44 ![B: $i, A: $i] : ((~has_endowment(A)) | has_immunity(A, B) | (~smaller_or_equal(age(A, B), eta)))),
% 0.13/0.44 inference(skolemize,[status(sab)],[126])).
% 0.13/0.44 tff(128,plain,
% 0.13/0.44 (![B: $i, A: $i] : ((~has_endowment(A)) | has_immunity(A, B) | (~smaller_or_equal(age(A, B), eta)))),
% 0.13/0.44 inference(modus_ponens,[status(thm)],[127, 120])).
% 0.13/0.44 tff(129,plain,
% 0.13/0.44 (((~![B: $i, A: $i] : ((~has_endowment(A)) | has_immunity(A, B) | (~smaller_or_equal(age(A, B), eta)))) | ((~smaller_or_equal(age(sk2, sk4), eta)) | (~has_endowment(sk2)) | has_immunity(sk2, sk4))) <=> ((~![B: $i, A: $i] : ((~has_endowment(A)) | has_immunity(A, B) | (~smaller_or_equal(age(A, B), eta)))) | (~smaller_or_equal(age(sk2, sk4), eta)) | (~has_endowment(sk2)) | has_immunity(sk2, sk4))),
% 0.13/0.44 inference(rewrite,[status(thm)],[])).
% 0.13/0.44 tff(130,plain,
% 0.13/0.44 (((~has_endowment(sk2)) | has_immunity(sk2, sk4) | (~smaller_or_equal(age(sk2, sk4), eta))) <=> ((~smaller_or_equal(age(sk2, sk4), eta)) | (~has_endowment(sk2)) | has_immunity(sk2, sk4))),
% 0.13/0.44 inference(rewrite,[status(thm)],[])).
% 0.13/0.44 tff(131,plain,
% 0.13/0.44 (((~![B: $i, A: $i] : ((~has_endowment(A)) | has_immunity(A, B) | (~smaller_or_equal(age(A, B), eta)))) | ((~has_endowment(sk2)) | has_immunity(sk2, sk4) | (~smaller_or_equal(age(sk2, sk4), eta)))) <=> ((~![B: $i, A: $i] : ((~has_endowment(A)) | has_immunity(A, B) | (~smaller_or_equal(age(A, B), eta)))) | ((~smaller_or_equal(age(sk2, sk4), eta)) | (~has_endowment(sk2)) | has_immunity(sk2, sk4)))),
% 0.13/0.44 inference(monotonicity,[status(thm)],[130])).
% 0.13/0.44 tff(132,plain,
% 0.13/0.44 (((~![B: $i, A: $i] : ((~has_endowment(A)) | has_immunity(A, B) | (~smaller_or_equal(age(A, B), eta)))) | ((~has_endowment(sk2)) | has_immunity(sk2, sk4) | (~smaller_or_equal(age(sk2, sk4), eta)))) <=> ((~![B: $i, A: $i] : ((~has_endowment(A)) | has_immunity(A, B) | (~smaller_or_equal(age(A, B), eta)))) | (~smaller_or_equal(age(sk2, sk4), eta)) | (~has_endowment(sk2)) | has_immunity(sk2, sk4))),
% 0.13/0.44 inference(transitivity,[status(thm)],[131, 129])).
% 0.13/0.44 tff(133,plain,
% 0.13/0.44 ((~![B: $i, A: $i] : ((~has_endowment(A)) | has_immunity(A, B) | (~smaller_or_equal(age(A, B), eta)))) | ((~has_endowment(sk2)) | has_immunity(sk2, sk4) | (~smaller_or_equal(age(sk2, sk4), eta)))),
% 0.13/0.44 inference(quant_inst,[status(thm)],[])).
% 0.13/0.44 tff(134,plain,
% 0.13/0.44 ((~![B: $i, A: $i] : ((~has_endowment(A)) | has_immunity(A, B) | (~smaller_or_equal(age(A, B), eta)))) | (~smaller_or_equal(age(sk2, sk4), eta)) | (~has_endowment(sk2)) | has_immunity(sk2, sk4)),
% 0.13/0.44 inference(modus_ponens,[status(thm)],[133, 132])).
% 0.13/0.44 tff(135,plain,
% 0.13/0.44 (has_immunity(sk2, sk4)),
% 0.13/0.44 inference(unit_resolution,[status(thm)],[134, 128, 118, 115])).
% 0.13/0.44 tff(136,assumption,(~smaller_or_equal(age(sk2, sk3), eta)), introduced(assumption)).
% 0.13/0.44 tff(137,assumption,(eta = age(sk2, sk3)), introduced(assumption)).
% 0.13/0.44 tff(138,plain,
% 0.13/0.44 (age(sk2, sk3) = eta),
% 0.13/0.44 inference(symmetry,[status(thm)],[137])).
% 0.13/0.44 tff(139,plain,
% 0.13/0.44 (smaller_or_equal(age(sk2, sk3), age(sk2, sk3)) <=> smaller_or_equal(age(sk2, sk3), eta)),
% 0.13/0.44 inference(monotonicity,[status(thm)],[138])).
% 0.13/0.44 tff(140,plain,
% 0.13/0.44 (smaller_or_equal(age(sk2, sk3), eta) <=> smaller_or_equal(age(sk2, sk3), age(sk2, sk3))),
% 0.13/0.44 inference(symmetry,[status(thm)],[139])).
% 0.13/0.44 tff(141,plain,
% 0.13/0.44 ((~smaller_or_equal(age(sk2, sk3), eta)) <=> (~smaller_or_equal(age(sk2, sk3), age(sk2, sk3)))),
% 0.13/0.44 inference(monotonicity,[status(thm)],[140])).
% 0.13/0.44 tff(142,plain,
% 0.13/0.44 (~smaller_or_equal(age(sk2, sk3), age(sk2, sk3))),
% 0.13/0.44 inference(modus_ponens,[status(thm)],[136, 141])).
% 0.13/0.44 tff(143,plain,
% 0.13/0.44 ((~![B: $i] : smaller_or_equal(B, B)) | smaller_or_equal(age(sk2, sk3), age(sk2, sk3))),
% 0.13/0.44 inference(quant_inst,[status(thm)],[])).
% 0.13/0.44 tff(144,plain,
% 0.13/0.44 (smaller_or_equal(age(sk2, sk3), age(sk2, sk3))),
% 0.13/0.44 inference(unit_resolution,[status(thm)],[143, 79])).
% 0.13/0.44 tff(145,plain,
% 0.13/0.44 ($false),
% 0.13/0.44 inference(unit_resolution,[status(thm)],[144, 142])).
% 0.13/0.44 tff(146,plain,((~(eta = age(sk2, sk3))) | smaller_or_equal(age(sk2, sk3), eta)), inference(lemma,lemma(discharge,[]))).
% 0.13/0.45 tff(147,plain,
% 0.13/0.45 (~(eta = age(sk2, sk3))),
% 0.13/0.45 inference(unit_resolution,[status(thm)],[146, 136])).
% 0.13/0.45 tff(148,plain,
% 0.13/0.45 (^[B: $i, A: $i] : refl(((~smaller(A, B)) | smaller_or_equal(A, B)) <=> ((~smaller(A, B)) | smaller_or_equal(A, B)))),
% 0.13/0.45 inference(bind,[status(th)],[])).
% 0.13/0.45 tff(149,plain,
% 0.13/0.45 (![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B)) <=> ![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B))),
% 0.13/0.45 inference(quant_intro,[status(thm)],[148])).
% 0.13/0.45 tff(150,plain,
% 0.13/0.45 (![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B)) <=> ![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B))),
% 0.13/0.45 inference(rewrite,[status(thm)],[])).
% 0.13/0.45 tff(151,axiom,(![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B))), file('/export/starexec/sandbox/benchmark/Axioms/MGT001-0.ax','definition_smaller_or_equal_2')).
% 0.13/0.45 tff(152,plain,
% 0.13/0.45 (![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B))),
% 0.13/0.45 inference(modus_ponens,[status(thm)],[151, 150])).
% 0.13/0.45 tff(153,plain,(
% 0.13/0.45 ![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B))),
% 0.13/0.45 inference(skolemize,[status(sab)],[152])).
% 0.13/0.45 tff(154,plain,
% 0.13/0.45 (![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B))),
% 0.13/0.45 inference(modus_ponens,[status(thm)],[153, 149])).
% 0.13/0.45 tff(155,plain,
% 0.13/0.45 (((~![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B))) | ((~smaller(age(sk2, sk3), eta)) | smaller_or_equal(age(sk2, sk3), eta))) <=> ((~![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B))) | (~smaller(age(sk2, sk3), eta)) | smaller_or_equal(age(sk2, sk3), eta))),
% 0.13/0.45 inference(rewrite,[status(thm)],[])).
% 0.13/0.45 tff(156,plain,
% 0.13/0.45 ((~![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B))) | ((~smaller(age(sk2, sk3), eta)) | smaller_or_equal(age(sk2, sk3), eta))),
% 0.13/0.45 inference(quant_inst,[status(thm)],[])).
% 0.13/0.45 tff(157,plain,
% 0.13/0.45 ((~![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B))) | (~smaller(age(sk2, sk3), eta)) | smaller_or_equal(age(sk2, sk3), eta)),
% 0.13/0.45 inference(modus_ponens,[status(thm)],[156, 155])).
% 0.13/0.45 tff(158,plain,
% 0.13/0.45 (~smaller(age(sk2, sk3), eta)),
% 0.13/0.45 inference(unit_resolution,[status(thm)],[157, 154, 136])).
% 0.13/0.45 tff(159,plain,
% 0.13/0.45 (^[B: $i, A: $i] : refl(((~greater(A, B)) | smaller(B, A)) <=> ((~greater(A, B)) | smaller(B, A)))),
% 0.13/0.45 inference(bind,[status(th)],[])).
% 0.13/0.45 tff(160,plain,
% 0.13/0.45 (![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A)) <=> ![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))),
% 0.13/0.45 inference(quant_intro,[status(thm)],[159])).
% 0.13/0.45 tff(161,plain,
% 0.13/0.45 (![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A)) <=> ![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))),
% 0.13/0.45 inference(rewrite,[status(thm)],[])).
% 0.13/0.45 tff(162,axiom,(![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))), file('/export/starexec/sandbox/benchmark/Axioms/MGT001-0.ax','definition_smaller_8')).
% 0.13/0.45 tff(163,plain,
% 0.13/0.45 (![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))),
% 0.13/0.45 inference(modus_ponens,[status(thm)],[162, 161])).
% 0.13/0.45 tff(164,plain,(
% 0.13/0.45 ![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))),
% 0.13/0.45 inference(skolemize,[status(sab)],[163])).
% 0.13/0.45 tff(165,plain,
% 0.13/0.45 (![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))),
% 0.13/0.45 inference(modus_ponens,[status(thm)],[164, 160])).
% 0.13/0.45 tff(166,plain,
% 0.13/0.45 (((~![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))) | ((~greater(eta, age(sk2, sk3))) | smaller(age(sk2, sk3), eta))) <=> ((~![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))) | (~greater(eta, age(sk2, sk3))) | smaller(age(sk2, sk3), eta))),
% 0.13/0.45 inference(rewrite,[status(thm)],[])).
% 0.13/0.45 tff(167,plain,
% 0.13/0.45 ((~![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))) | ((~greater(eta, age(sk2, sk3))) | smaller(age(sk2, sk3), eta))),
% 0.13/0.45 inference(quant_inst,[status(thm)],[])).
% 0.13/0.45 tff(168,plain,
% 0.13/0.45 ((~![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))) | (~greater(eta, age(sk2, sk3))) | smaller(age(sk2, sk3), eta)),
% 0.13/0.45 inference(modus_ponens,[status(thm)],[167, 166])).
% 0.13/0.45 tff(169,plain,
% 0.13/0.45 (~greater(eta, age(sk2, sk3))),
% 0.13/0.45 inference(unit_resolution,[status(thm)],[168, 165, 158])).
% 0.13/0.45 tff(170,plain,
% 0.13/0.45 (^[B: $i, A: $i] : refl(((A = B) | smaller(A, B) | greater(A, B)) <=> ((A = B) | smaller(A, B) | greater(A, B)))),
% 0.13/0.45 inference(bind,[status(th)],[])).
% 0.13/0.45 tff(171,plain,
% 0.13/0.45 (![B: $i, A: $i] : ((A = B) | smaller(A, B) | greater(A, B)) <=> ![B: $i, A: $i] : ((A = B) | smaller(A, B) | greater(A, B))),
% 0.13/0.45 inference(quant_intro,[status(thm)],[170])).
% 0.13/0.45 tff(172,plain,
% 0.13/0.45 (![B: $i, A: $i] : ((A = B) | smaller(A, B) | greater(A, B)) <=> ![B: $i, A: $i] : ((A = B) | smaller(A, B) | greater(A, B))),
% 0.13/0.45 inference(rewrite,[status(thm)],[])).
% 0.13/0.45 tff(173,plain,
% 0.13/0.45 (^[B: $i, A: $i] : trans(monotonicity(rewrite((smaller(A, B) | (A = B)) <=> ((A = B) | smaller(A, B))), (((smaller(A, B) | (A = B)) | greater(A, B)) <=> (((A = B) | smaller(A, B)) | greater(A, B)))), rewrite((((A = B) | smaller(A, B)) | greater(A, B)) <=> ((A = B) | smaller(A, B) | greater(A, B))), (((smaller(A, B) | (A = B)) | greater(A, B)) <=> ((A = B) | smaller(A, B) | greater(A, B))))),
% 0.13/0.45 inference(bind,[status(th)],[])).
% 0.13/0.45 tff(174,plain,
% 0.13/0.45 (![B: $i, A: $i] : ((smaller(A, B) | (A = B)) | greater(A, B)) <=> ![B: $i, A: $i] : ((A = B) | smaller(A, B) | greater(A, B))),
% 0.13/0.45 inference(quant_intro,[status(thm)],[173])).
% 0.13/0.45 tff(175,axiom,(![B: $i, A: $i] : ((smaller(A, B) | (A = B)) | greater(A, B))), file('/export/starexec/sandbox/benchmark/Axioms/MGT001-0.ax','meaning_postulate_greater_comparable_11')).
% 0.13/0.45 tff(176,plain,
% 0.13/0.45 (![B: $i, A: $i] : ((A = B) | smaller(A, B) | greater(A, B))),
% 0.13/0.45 inference(modus_ponens,[status(thm)],[175, 174])).
% 0.13/0.45 tff(177,plain,
% 0.13/0.45 (![B: $i, A: $i] : ((A = B) | smaller(A, B) | greater(A, B))),
% 0.13/0.45 inference(modus_ponens,[status(thm)],[176, 172])).
% 0.13/0.45 tff(178,plain,(
% 0.13/0.45 ![B: $i, A: $i] : ((A = B) | smaller(A, B) | greater(A, B))),
% 0.13/0.45 inference(skolemize,[status(sab)],[177])).
% 0.13/0.45 tff(179,plain,
% 0.13/0.45 (![B: $i, A: $i] : ((A = B) | smaller(A, B) | greater(A, B))),
% 0.13/0.45 inference(modus_ponens,[status(thm)],[178, 171])).
% 0.13/0.45 tff(180,plain,
% 0.13/0.45 (((~![B: $i, A: $i] : ((A = B) | smaller(A, B) | greater(A, B))) | (greater(eta, age(sk2, sk3)) | (eta = age(sk2, sk3)) | smaller(eta, age(sk2, sk3)))) <=> ((~![B: $i, A: $i] : ((A = B) | smaller(A, B) | greater(A, B))) | greater(eta, age(sk2, sk3)) | (eta = age(sk2, sk3)) | smaller(eta, age(sk2, sk3)))),
% 0.13/0.45 inference(rewrite,[status(thm)],[])).
% 0.13/0.45 tff(181,plain,
% 0.13/0.45 (((eta = age(sk2, sk3)) | smaller(eta, age(sk2, sk3)) | greater(eta, age(sk2, sk3))) <=> (greater(eta, age(sk2, sk3)) | (eta = age(sk2, sk3)) | smaller(eta, age(sk2, sk3)))),
% 0.13/0.45 inference(rewrite,[status(thm)],[])).
% 0.13/0.45 tff(182,plain,
% 0.13/0.45 (((~![B: $i, A: $i] : ((A = B) | smaller(A, B) | greater(A, B))) | ((eta = age(sk2, sk3)) | smaller(eta, age(sk2, sk3)) | greater(eta, age(sk2, sk3)))) <=> ((~![B: $i, A: $i] : ((A = B) | smaller(A, B) | greater(A, B))) | (greater(eta, age(sk2, sk3)) | (eta = age(sk2, sk3)) | smaller(eta, age(sk2, sk3))))),
% 0.13/0.45 inference(monotonicity,[status(thm)],[181])).
% 0.13/0.45 tff(183,plain,
% 0.13/0.45 (((~![B: $i, A: $i] : ((A = B) | smaller(A, B) | greater(A, B))) | ((eta = age(sk2, sk3)) | smaller(eta, age(sk2, sk3)) | greater(eta, age(sk2, sk3)))) <=> ((~![B: $i, A: $i] : ((A = B) | smaller(A, B) | greater(A, B))) | greater(eta, age(sk2, sk3)) | (eta = age(sk2, sk3)) | smaller(eta, age(sk2, sk3)))),
% 0.13/0.45 inference(transitivity,[status(thm)],[182, 180])).
% 0.13/0.45 tff(184,plain,
% 0.13/0.45 ((~![B: $i, A: $i] : ((A = B) | smaller(A, B) | greater(A, B))) | ((eta = age(sk2, sk3)) | smaller(eta, age(sk2, sk3)) | greater(eta, age(sk2, sk3)))),
% 0.13/0.45 inference(quant_inst,[status(thm)],[])).
% 0.13/0.45 tff(185,plain,
% 0.13/0.45 ((~![B: $i, A: $i] : ((A = B) | smaller(A, B) | greater(A, B))) | greater(eta, age(sk2, sk3)) | (eta = age(sk2, sk3)) | smaller(eta, age(sk2, sk3))),
% 0.13/0.45 inference(modus_ponens,[status(thm)],[184, 183])).
% 0.13/0.45 tff(186,plain,
% 0.13/0.45 ((eta = age(sk2, sk3)) | smaller(eta, age(sk2, sk3))),
% 0.13/0.45 inference(unit_resolution,[status(thm)],[185, 179, 169])).
% 0.13/0.45 tff(187,plain,
% 0.13/0.45 (smaller(eta, age(sk2, sk3))),
% 0.13/0.45 inference(unit_resolution,[status(thm)],[186, 147])).
% 0.13/0.45 tff(188,plain,
% 0.13/0.45 (((~![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))) | ((~smaller(eta, age(sk2, sk3))) | greater(age(sk2, sk3), eta))) <=> ((~![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))) | (~smaller(eta, age(sk2, sk3))) | greater(age(sk2, sk3), eta))),
% 0.13/0.45 inference(rewrite,[status(thm)],[])).
% 0.13/0.45 tff(189,plain,
% 0.13/0.45 ((~![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))) | ((~smaller(eta, age(sk2, sk3))) | greater(age(sk2, sk3), eta))),
% 0.13/0.45 inference(quant_inst,[status(thm)],[])).
% 0.13/0.45 tff(190,plain,
% 0.13/0.45 ((~![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))) | (~smaller(eta, age(sk2, sk3))) | greater(age(sk2, sk3), eta)),
% 0.13/0.45 inference(modus_ponens,[status(thm)],[189, 188])).
% 0.13/0.45 tff(191,plain,
% 0.13/0.45 (greater(age(sk2, sk3), eta)),
% 0.13/0.45 inference(unit_resolution,[status(thm)],[190, 108, 187])).
% 0.13/0.45 tff(192,assumption,(greater(age(sk2, sk4), age(sk2, sk3))), introduced(assumption)).
% 0.13/0.45 tff(193,plain,
% 0.13/0.45 (^[B: $i, A: $i] : refl(((~has_endowment(A)) | (~has_immunity(A, B)) | (~greater(age(A, B), eta))) <=> ((~has_endowment(A)) | (~has_immunity(A, B)) | (~greater(age(A, B), eta))))),
% 0.13/0.45 inference(bind,[status(th)],[])).
% 0.13/0.45 tff(194,plain,
% 0.13/0.45 (![B: $i, A: $i] : ((~has_endowment(A)) | (~has_immunity(A, B)) | (~greater(age(A, B), eta))) <=> ![B: $i, A: $i] : ((~has_endowment(A)) | (~has_immunity(A, B)) | (~greater(age(A, B), eta)))),
% 0.13/0.45 inference(quant_intro,[status(thm)],[193])).
% 0.13/0.45 tff(195,plain,
% 0.13/0.45 (![B: $i, A: $i] : ((~has_endowment(A)) | (~has_immunity(A, B)) | (~greater(age(A, B), eta))) <=> ![B: $i, A: $i] : ((~has_endowment(A)) | (~has_immunity(A, B)) | (~greater(age(A, B), eta)))),
% 0.13/0.45 inference(rewrite,[status(thm)],[])).
% 0.13/0.45 tff(196,plain,
% 0.13/0.45 (^[B: $i, A: $i] : rewrite((((~has_endowment(A)) | (~greater(age(A, B), eta))) | (~has_immunity(A, B))) <=> ((~has_endowment(A)) | (~has_immunity(A, B)) | (~greater(age(A, B), eta))))),
% 0.13/0.45 inference(bind,[status(th)],[])).
% 0.13/0.45 tff(197,plain,
% 0.13/0.45 (![B: $i, A: $i] : (((~has_endowment(A)) | (~greater(age(A, B), eta))) | (~has_immunity(A, B))) <=> ![B: $i, A: $i] : ((~has_endowment(A)) | (~has_immunity(A, B)) | (~greater(age(A, B), eta)))),
% 0.13/0.45 inference(quant_intro,[status(thm)],[196])).
% 0.13/0.45 tff(198,axiom,(![B: $i, A: $i] : (((~has_endowment(A)) | (~greater(age(A, B), eta))) | (~has_immunity(A, B)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','definition_1_43')).
% 0.13/0.45 tff(199,plain,
% 0.13/0.45 (![B: $i, A: $i] : ((~has_endowment(A)) | (~has_immunity(A, B)) | (~greater(age(A, B), eta)))),
% 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] : ((~has_endowment(A)) | (~has_immunity(A, B)) | (~greater(age(A, B), eta)))),
% 0.13/0.45 inference(modus_ponens,[status(thm)],[199, 195])).
% 0.13/0.45 tff(201,plain,(
% 0.13/0.45 ![B: $i, A: $i] : ((~has_endowment(A)) | (~has_immunity(A, B)) | (~greater(age(A, B), eta)))),
% 0.13/0.45 inference(skolemize,[status(sab)],[200])).
% 0.13/0.45 tff(202,plain,
% 0.13/0.45 (![B: $i, A: $i] : ((~has_endowment(A)) | (~has_immunity(A, B)) | (~greater(age(A, B), eta)))),
% 0.13/0.45 inference(modus_ponens,[status(thm)],[201, 194])).
% 0.13/0.45 tff(203,plain,
% 0.13/0.45 (((~![B: $i, A: $i] : ((~has_endowment(A)) | (~has_immunity(A, B)) | (~greater(age(A, B), eta)))) | ((~has_endowment(sk2)) | (~has_immunity(sk2, sk4)) | (~greater(age(sk2, sk4), eta)))) <=> ((~![B: $i, A: $i] : ((~has_endowment(A)) | (~has_immunity(A, B)) | (~greater(age(A, B), eta)))) | (~has_endowment(sk2)) | (~has_immunity(sk2, sk4)) | (~greater(age(sk2, sk4), eta)))),
% 0.13/0.45 inference(rewrite,[status(thm)],[])).
% 0.13/0.45 tff(204,plain,
% 0.13/0.45 ((~![B: $i, A: $i] : ((~has_endowment(A)) | (~has_immunity(A, B)) | (~greater(age(A, B), eta)))) | ((~has_endowment(sk2)) | (~has_immunity(sk2, sk4)) | (~greater(age(sk2, sk4), eta)))),
% 0.13/0.45 inference(quant_inst,[status(thm)],[])).
% 0.13/0.45 tff(205,plain,
% 0.13/0.45 ((~![B: $i, A: $i] : ((~has_endowment(A)) | (~has_immunity(A, B)) | (~greater(age(A, B), eta)))) | (~has_endowment(sk2)) | (~has_immunity(sk2, sk4)) | (~greater(age(sk2, sk4), eta))),
% 0.13/0.45 inference(modus_ponens,[status(thm)],[204, 203])).
% 0.13/0.45 tff(206,plain,
% 0.13/0.45 (~greater(age(sk2, sk4), eta)),
% 0.13/0.45 inference(unit_resolution,[status(thm)],[205, 202, 118, 135])).
% 0.13/0.45 tff(207,assumption,(greater(age(sk2, sk3), eta)), introduced(assumption)).
% 0.13/0.45 tff(208,plain,
% 0.13/0.45 (![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B))) <=> ![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))),
% 0.13/0.45 inference(rewrite,[status(thm)],[])).
% 0.13/0.45 tff(209,plain,
% 0.13/0.45 (![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B))) <=> ![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))),
% 0.13/0.45 inference(rewrite,[status(thm)],[])).
% 0.13/0.45 tff(210,plain,
% 0.13/0.45 (^[B: $i, A: $i, C: $i] : rewrite((((~greater(A, B)) | (~greater(B, C))) | greater(A, C)) <=> (greater(A, C) | (~greater(B, C)) | (~greater(A, B))))),
% 0.13/0.45 inference(bind,[status(th)],[])).
% 0.13/0.45 tff(211,plain,
% 0.13/0.45 (![B: $i, A: $i, C: $i] : (((~greater(A, B)) | (~greater(B, C))) | greater(A, C)) <=> ![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))),
% 0.13/0.45 inference(quant_intro,[status(thm)],[210])).
% 0.13/0.45 tff(212,axiom,(![B: $i, A: $i, C: $i] : (((~greater(A, B)) | (~greater(B, C))) | greater(A, C))), file('/export/starexec/sandbox/benchmark/Axioms/MGT001-0.ax','meaning_postulate_greater_transitive_10')).
% 0.13/0.45 tff(213,plain,
% 0.13/0.45 (![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))),
% 0.13/0.45 inference(modus_ponens,[status(thm)],[212, 211])).
% 0.13/0.45 tff(214,plain,
% 0.13/0.45 (![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))),
% 0.13/0.45 inference(modus_ponens,[status(thm)],[213, 209])).
% 0.13/0.45 tff(215,plain,(
% 0.13/0.45 ![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))),
% 0.13/0.45 inference(skolemize,[status(sab)],[214])).
% 0.13/0.45 tff(216,plain,
% 0.13/0.45 (![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))),
% 0.13/0.45 inference(modus_ponens,[status(thm)],[215, 208])).
% 0.13/0.45 tff(217,plain,
% 0.13/0.45 (((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | ((~greater(age(sk2, sk3), eta)) | greater(age(sk2, sk4), eta) | (~greater(age(sk2, sk4), age(sk2, sk3))))) <=> ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (~greater(age(sk2, sk3), eta)) | greater(age(sk2, sk4), eta) | (~greater(age(sk2, sk4), age(sk2, sk3))))),
% 0.13/0.45 inference(rewrite,[status(thm)],[])).
% 0.13/0.45 tff(218,plain,
% 0.13/0.45 ((greater(age(sk2, sk4), eta) | (~greater(age(sk2, sk3), eta)) | (~greater(age(sk2, sk4), age(sk2, sk3)))) <=> ((~greater(age(sk2, sk3), eta)) | greater(age(sk2, sk4), eta) | (~greater(age(sk2, sk4), age(sk2, sk3))))),
% 0.13/0.45 inference(rewrite,[status(thm)],[])).
% 0.13/0.45 tff(219,plain,
% 0.13/0.45 (((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(age(sk2, sk4), eta) | (~greater(age(sk2, sk3), eta)) | (~greater(age(sk2, sk4), age(sk2, sk3))))) <=> ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | ((~greater(age(sk2, sk3), eta)) | greater(age(sk2, sk4), eta) | (~greater(age(sk2, sk4), age(sk2, sk3)))))),
% 0.13/0.45 inference(monotonicity,[status(thm)],[218])).
% 0.13/0.45 tff(220,plain,
% 0.13/0.45 (((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(age(sk2, sk4), eta) | (~greater(age(sk2, sk3), eta)) | (~greater(age(sk2, sk4), age(sk2, sk3))))) <=> ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (~greater(age(sk2, sk3), eta)) | greater(age(sk2, sk4), eta) | (~greater(age(sk2, sk4), age(sk2, sk3))))),
% 0.13/0.45 inference(transitivity,[status(thm)],[219, 217])).
% 0.13/0.45 tff(221,plain,
% 0.13/0.45 ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(age(sk2, sk4), eta) | (~greater(age(sk2, sk3), eta)) | (~greater(age(sk2, sk4), age(sk2, sk3))))),
% 0.13/0.45 inference(quant_inst,[status(thm)],[])).
% 0.13/0.45 tff(222,plain,
% 0.13/0.45 ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (~greater(age(sk2, sk3), eta)) | greater(age(sk2, sk4), eta) | (~greater(age(sk2, sk4), age(sk2, sk3)))),
% 0.13/0.45 inference(modus_ponens,[status(thm)],[221, 220])).
% 0.13/0.45 tff(223,plain,
% 0.13/0.45 ($false),
% 0.13/0.45 inference(unit_resolution,[status(thm)],[222, 216, 207, 206, 192])).
% 0.13/0.45 tff(224,plain,((~greater(age(sk2, sk4), age(sk2, sk3))) | (~greater(age(sk2, sk3), eta))), inference(lemma,lemma(discharge,[]))).
% 0.13/0.45 tff(225,plain,
% 0.13/0.45 (~greater(age(sk2, sk4), age(sk2, sk3))),
% 0.13/0.45 inference(unit_resolution,[status(thm)],[224, 191])).
% 0.13/0.46 tff(226,plain,
% 0.13/0.46 (((~![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))) | ((~smaller(age(sk2, sk3), age(sk2, sk4))) | greater(age(sk2, sk4), age(sk2, sk3)))) <=> ((~![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))) | (~smaller(age(sk2, sk3), age(sk2, sk4))) | greater(age(sk2, sk4), age(sk2, sk3)))),
% 0.13/0.46 inference(rewrite,[status(thm)],[])).
% 0.13/0.46 tff(227,plain,
% 0.13/0.46 ((~![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))) | ((~smaller(age(sk2, sk3), age(sk2, sk4))) | greater(age(sk2, sk4), age(sk2, sk3)))),
% 0.13/0.46 inference(quant_inst,[status(thm)],[])).
% 0.13/0.46 tff(228,plain,
% 0.13/0.46 ((~![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))) | (~smaller(age(sk2, sk3), age(sk2, sk4))) | greater(age(sk2, sk4), age(sk2, sk3))),
% 0.13/0.46 inference(modus_ponens,[status(thm)],[227, 226])).
% 0.13/0.46 tff(229,plain,
% 0.13/0.46 (~smaller(age(sk2, sk3), age(sk2, sk4))),
% 0.13/0.46 inference(unit_resolution,[status(thm)],[228, 108, 225])).
% 0.13/0.46 tff(230,plain,
% 0.13/0.46 (smaller_or_equal(age(sk2, sk3), age(sk2, sk4)) <=> smaller_or_equal(age(sk2, sk3), age(sk2, sk4))),
% 0.13/0.46 inference(rewrite,[status(thm)],[])).
% 0.13/0.46 tff(231,axiom,(smaller_or_equal(age(sk2, sk3), age(sk2, sk4))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','theorem_4_63')).
% 0.13/0.46 tff(232,plain,
% 0.13/0.46 (smaller_or_equal(age(sk2, sk3), age(sk2, sk4))),
% 0.13/0.46 inference(modus_ponens,[status(thm)],[231, 230])).
% 0.13/0.46 tff(233,plain,
% 0.13/0.46 (^[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))))),
% 0.13/0.46 inference(bind,[status(th)],[])).
% 0.13/0.46 tff(234,plain,
% 0.13/0.46 (![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)))),
% 0.13/0.46 inference(quant_intro,[status(thm)],[233])).
% 0.13/0.46 tff(235,plain,
% 0.13/0.46 (![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)))),
% 0.13/0.46 inference(rewrite,[status(thm)],[])).
% 0.13/0.46 tff(236,plain,
% 0.13/0.46 (^[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))))),
% 0.13/0.46 inference(bind,[status(th)],[])).
% 0.13/0.46 tff(237,plain,
% 0.13/0.46 (![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)))),
% 0.13/0.46 inference(quant_intro,[status(thm)],[236])).
% 0.13/0.46 tff(238,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')).
% 0.13/0.46 tff(239,plain,
% 0.13/0.46 (![B: $i, A: $i] : ((A = B) | smaller(A, B) | (~smaller_or_equal(A, B)))),
% 0.13/0.46 inference(modus_ponens,[status(thm)],[238, 237])).
% 0.13/0.46 tff(240,plain,
% 0.13/0.46 (![B: $i, A: $i] : ((A = B) | smaller(A, B) | (~smaller_or_equal(A, B)))),
% 0.13/0.46 inference(modus_ponens,[status(thm)],[239, 235])).
% 0.13/0.46 tff(241,plain,(
% 0.13/0.46 ![B: $i, A: $i] : ((A = B) | smaller(A, B) | (~smaller_or_equal(A, B)))),
% 0.13/0.46 inference(skolemize,[status(sab)],[240])).
% 0.13/0.46 tff(242,plain,
% 0.13/0.46 (![B: $i, A: $i] : ((A = B) | smaller(A, B) | (~smaller_or_equal(A, B)))),
% 0.13/0.46 inference(modus_ponens,[status(thm)],[241, 234])).
% 0.13/0.46 tff(243,plain,
% 0.13/0.46 (((~![B: $i, A: $i] : ((A = B) | smaller(A, B) | (~smaller_or_equal(A, B)))) | ((age(sk2, sk3) = age(sk2, sk4)) | smaller(age(sk2, sk3), age(sk2, sk4)) | (~smaller_or_equal(age(sk2, sk3), age(sk2, sk4))))) <=> ((~![B: $i, A: $i] : ((A = B) | smaller(A, B) | (~smaller_or_equal(A, B)))) | (age(sk2, sk3) = age(sk2, sk4)) | smaller(age(sk2, sk3), age(sk2, sk4)) | (~smaller_or_equal(age(sk2, sk3), age(sk2, sk4))))),
% 0.13/0.46 inference(rewrite,[status(thm)],[])).
% 0.13/0.46 tff(244,plain,
% 0.13/0.46 ((~![B: $i, A: $i] : ((A = B) | smaller(A, B) | (~smaller_or_equal(A, B)))) | ((age(sk2, sk3) = age(sk2, sk4)) | smaller(age(sk2, sk3), age(sk2, sk4)) | (~smaller_or_equal(age(sk2, sk3), age(sk2, sk4))))),
% 0.13/0.46 inference(quant_inst,[status(thm)],[])).
% 0.13/0.46 tff(245,plain,
% 0.13/0.46 ((~![B: $i, A: $i] : ((A = B) | smaller(A, B) | (~smaller_or_equal(A, B)))) | (age(sk2, sk3) = age(sk2, sk4)) | smaller(age(sk2, sk3), age(sk2, sk4)) | (~smaller_or_equal(age(sk2, sk3), age(sk2, sk4)))),
% 0.22/0.46 inference(modus_ponens,[status(thm)],[244, 243])).
% 0.22/0.46 tff(246,plain,
% 0.22/0.46 ((age(sk2, sk3) = age(sk2, sk4)) | smaller(age(sk2, sk3), age(sk2, sk4))),
% 0.22/0.46 inference(unit_resolution,[status(thm)],[245, 242, 232])).
% 0.22/0.46 tff(247,plain,
% 0.22/0.46 (age(sk2, sk3) = age(sk2, sk4)),
% 0.22/0.46 inference(unit_resolution,[status(thm)],[246, 229])).
% 0.22/0.46 tff(248,plain,
% 0.22/0.46 (smaller_or_equal(age(sk2, sk3), eta) <=> smaller_or_equal(age(sk2, sk4), eta)),
% 0.22/0.46 inference(monotonicity,[status(thm)],[247])).
% 0.22/0.46 tff(249,plain,
% 0.22/0.46 (smaller_or_equal(age(sk2, sk4), eta) <=> smaller_or_equal(age(sk2, sk3), eta)),
% 0.22/0.46 inference(symmetry,[status(thm)],[248])).
% 0.22/0.46 tff(250,plain,
% 0.22/0.46 (smaller_or_equal(age(sk2, sk3), eta)),
% 0.22/0.46 inference(modus_ponens,[status(thm)],[115, 249])).
% 0.22/0.46 tff(251,plain,
% 0.22/0.46 ($false),
% 0.22/0.46 inference(unit_resolution,[status(thm)],[136, 250])).
% 0.22/0.46 tff(252,plain,(smaller_or_equal(age(sk2, sk3), eta)), inference(lemma,lemma(discharge,[]))).
% 0.22/0.46 tff(253,plain,
% 0.22/0.46 (((~![B: $i, A: $i] : ((~has_endowment(A)) | has_immunity(A, B) | (~smaller_or_equal(age(A, B), eta)))) | ((~has_endowment(sk2)) | has_immunity(sk2, sk3) | (~smaller_or_equal(age(sk2, sk3), eta)))) <=> ((~![B: $i, A: $i] : ((~has_endowment(A)) | has_immunity(A, B) | (~smaller_or_equal(age(A, B), eta)))) | (~has_endowment(sk2)) | has_immunity(sk2, sk3) | (~smaller_or_equal(age(sk2, sk3), eta)))),
% 0.22/0.46 inference(rewrite,[status(thm)],[])).
% 0.22/0.46 tff(254,plain,
% 0.22/0.46 ((~![B: $i, A: $i] : ((~has_endowment(A)) | has_immunity(A, B) | (~smaller_or_equal(age(A, B), eta)))) | ((~has_endowment(sk2)) | has_immunity(sk2, sk3) | (~smaller_or_equal(age(sk2, sk3), eta)))),
% 0.22/0.46 inference(quant_inst,[status(thm)],[])).
% 0.22/0.46 tff(255,plain,
% 0.22/0.46 ((~![B: $i, A: $i] : ((~has_endowment(A)) | has_immunity(A, B) | (~smaller_or_equal(age(A, B), eta)))) | (~has_endowment(sk2)) | has_immunity(sk2, sk3) | (~smaller_or_equal(age(sk2, sk3), eta))),
% 0.22/0.46 inference(modus_ponens,[status(thm)],[254, 253])).
% 0.22/0.46 tff(256,plain,
% 0.22/0.46 (has_immunity(sk2, sk3) | (~smaller_or_equal(age(sk2, sk3), eta))),
% 0.22/0.46 inference(unit_resolution,[status(thm)],[255, 128, 118])).
% 0.22/0.46 tff(257,plain,
% 0.22/0.46 (has_immunity(sk2, sk3)),
% 0.22/0.46 inference(unit_resolution,[status(thm)],[256, 252])).
% 0.22/0.46 tff(258,assumption,(~(hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3))), introduced(assumption)).
% 0.22/0.46 tff(259,plain,
% 0.22/0.46 (^[B: $i, A: $i, C: $i] : refl(((hazard_of_mortality(A, B) = hazard_of_mortality(A, C)) | (~has_immunity(A, C)) | (~has_immunity(A, B)) | (~organization(A))) <=> ((hazard_of_mortality(A, B) = hazard_of_mortality(A, C)) | (~has_immunity(A, C)) | (~has_immunity(A, B)) | (~organization(A))))),
% 0.22/0.46 inference(bind,[status(th)],[])).
% 0.22/0.46 tff(260,plain,
% 0.22/0.46 (![B: $i, A: $i, C: $i] : ((hazard_of_mortality(A, B) = hazard_of_mortality(A, C)) | (~has_immunity(A, C)) | (~has_immunity(A, B)) | (~organization(A))) <=> ![B: $i, A: $i, C: $i] : ((hazard_of_mortality(A, B) = hazard_of_mortality(A, C)) | (~has_immunity(A, C)) | (~has_immunity(A, B)) | (~organization(A)))),
% 0.22/0.46 inference(quant_intro,[status(thm)],[259])).
% 0.22/0.46 tff(261,plain,
% 0.22/0.46 (![B: $i, A: $i, C: $i] : ((hazard_of_mortality(A, B) = hazard_of_mortality(A, C)) | (~has_immunity(A, C)) | (~has_immunity(A, B)) | (~organization(A))) <=> ![B: $i, A: $i, C: $i] : ((hazard_of_mortality(A, B) = hazard_of_mortality(A, C)) | (~has_immunity(A, C)) | (~has_immunity(A, B)) | (~organization(A)))),
% 0.22/0.46 inference(rewrite,[status(thm)],[])).
% 0.22/0.46 tff(262,plain,
% 0.22/0.46 (^[B: $i, A: $i, C: $i] : 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))) | (hazard_of_mortality(A, B) = hazard_of_mortality(A, C))) <=> (((~has_immunity(A, C)) | (~has_immunity(A, B)) | (~organization(A))) | (hazard_of_mortality(A, B) = hazard_of_mortality(A, C))))), rewrite((((~has_immunity(A, C)) | (~has_immunity(A, B)) | (~organization(A))) | (hazard_of_mortality(A, B) = hazard_of_mortality(A, C))) <=> ((hazard_of_mortality(A, B) = hazard_of_mortality(A, C)) | (~has_immunity(A, C)) | (~has_immunity(A, B)) | (~organization(A)))), (((((~organization(A)) | (~has_immunity(A, B))) | (~has_immunity(A, C))) | (hazard_of_mortality(A, B) = hazard_of_mortality(A, C))) <=> ((hazard_of_mortality(A, B) = hazard_of_mortality(A, C)) | (~has_immunity(A, C)) | (~has_immunity(A, B)) | (~organization(A)))))),
% 0.22/0.46 inference(bind,[status(th)],[])).
% 0.22/0.46 tff(263,plain,
% 0.22/0.46 (![B: $i, A: $i, C: $i] : ((((~organization(A)) | (~has_immunity(A, B))) | (~has_immunity(A, C))) | (hazard_of_mortality(A, B) = hazard_of_mortality(A, C))) <=> ![B: $i, A: $i, C: $i] : ((hazard_of_mortality(A, B) = hazard_of_mortality(A, C)) | (~has_immunity(A, C)) | (~has_immunity(A, B)) | (~organization(A)))),
% 0.22/0.46 inference(quant_intro,[status(thm)],[262])).
% 0.22/0.46 tff(264,axiom,(![B: $i, A: $i, C: $i] : ((((~organization(A)) | (~has_immunity(A, B))) | (~has_immunity(A, C))) | (hazard_of_mortality(A, B) = hazard_of_mortality(A, C)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','assumption_2_48')).
% 0.22/0.46 tff(265,plain,
% 0.22/0.46 (![B: $i, A: $i, C: $i] : ((hazard_of_mortality(A, B) = hazard_of_mortality(A, C)) | (~has_immunity(A, C)) | (~has_immunity(A, B)) | (~organization(A)))),
% 0.22/0.46 inference(modus_ponens,[status(thm)],[264, 263])).
% 0.22/0.46 tff(266,plain,
% 0.22/0.46 (![B: $i, A: $i, C: $i] : ((hazard_of_mortality(A, B) = hazard_of_mortality(A, C)) | (~has_immunity(A, C)) | (~has_immunity(A, B)) | (~organization(A)))),
% 0.22/0.46 inference(modus_ponens,[status(thm)],[265, 261])).
% 0.22/0.46 tff(267,plain,(
% 0.22/0.46 ![B: $i, A: $i, C: $i] : ((hazard_of_mortality(A, B) = hazard_of_mortality(A, C)) | (~has_immunity(A, C)) | (~has_immunity(A, B)) | (~organization(A)))),
% 0.22/0.46 inference(skolemize,[status(sab)],[266])).
% 0.22/0.46 tff(268,plain,
% 0.22/0.46 (![B: $i, A: $i, C: $i] : ((hazard_of_mortality(A, B) = hazard_of_mortality(A, C)) | (~has_immunity(A, C)) | (~has_immunity(A, B)) | (~organization(A)))),
% 0.22/0.46 inference(modus_ponens,[status(thm)],[267, 260])).
% 0.22/0.46 tff(269,plain,
% 0.22/0.46 (((~![B: $i, A: $i, C: $i] : ((hazard_of_mortality(A, B) = hazard_of_mortality(A, C)) | (~has_immunity(A, C)) | (~has_immunity(A, B)) | (~organization(A)))) | ((hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3)) | (~has_immunity(sk2, sk3)) | (~has_immunity(sk2, sk4)) | (~organization(sk2)))) <=> ((~![B: $i, A: $i, C: $i] : ((hazard_of_mortality(A, B) = hazard_of_mortality(A, C)) | (~has_immunity(A, C)) | (~has_immunity(A, B)) | (~organization(A)))) | (hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3)) | (~has_immunity(sk2, sk3)) | (~has_immunity(sk2, sk4)) | (~organization(sk2)))),
% 0.22/0.46 inference(rewrite,[status(thm)],[])).
% 0.22/0.46 tff(270,plain,
% 0.22/0.46 ((~![B: $i, A: $i, C: $i] : ((hazard_of_mortality(A, B) = hazard_of_mortality(A, C)) | (~has_immunity(A, C)) | (~has_immunity(A, B)) | (~organization(A)))) | ((hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3)) | (~has_immunity(sk2, sk3)) | (~has_immunity(sk2, sk4)) | (~organization(sk2)))),
% 0.22/0.46 inference(quant_inst,[status(thm)],[])).
% 0.22/0.46 tff(271,plain,
% 0.22/0.46 ((~![B: $i, A: $i, C: $i] : ((hazard_of_mortality(A, B) = hazard_of_mortality(A, C)) | (~has_immunity(A, C)) | (~has_immunity(A, B)) | (~organization(A)))) | (hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3)) | (~has_immunity(sk2, sk3)) | (~has_immunity(sk2, sk4)) | (~organization(sk2))),
% 0.22/0.46 inference(modus_ponens,[status(thm)],[270, 269])).
% 0.22/0.46 tff(272,plain,
% 0.22/0.46 ($false),
% 0.22/0.46 inference(unit_resolution,[status(thm)],[271, 268, 3, 258, 257, 135])).
% 0.22/0.46 tff(273,plain,(hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3)), inference(lemma,lemma(discharge,[]))).
% 0.22/0.46 tff(274,plain,
% 0.22/0.46 (greater(age(sk2, sk5), eta) <=> greater(age(sk2, sk5), eta)),
% 0.22/0.46 inference(rewrite,[status(thm)],[])).
% 0.22/0.46 tff(275,axiom,(greater(age(sk2, sk5), eta)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','theorem_4_65')).
% 0.22/0.46 tff(276,plain,
% 0.22/0.46 (greater(age(sk2, sk5), eta)),
% 0.22/0.46 inference(modus_ponens,[status(thm)],[275, 274])).
% 0.22/0.46 tff(277,plain,
% 0.22/0.46 (((~![B: $i, A: $i] : ((~has_endowment(A)) | (~has_immunity(A, B)) | (~greater(age(A, B), eta)))) | ((~has_endowment(sk2)) | (~has_immunity(sk2, sk5)) | (~greater(age(sk2, sk5), eta)))) <=> ((~![B: $i, A: $i] : ((~has_endowment(A)) | (~has_immunity(A, B)) | (~greater(age(A, B), eta)))) | (~has_endowment(sk2)) | (~has_immunity(sk2, sk5)) | (~greater(age(sk2, sk5), eta)))),
% 0.22/0.46 inference(rewrite,[status(thm)],[])).
% 0.22/0.46 tff(278,plain,
% 0.22/0.46 ((~![B: $i, A: $i] : ((~has_endowment(A)) | (~has_immunity(A, B)) | (~greater(age(A, B), eta)))) | ((~has_endowment(sk2)) | (~has_immunity(sk2, sk5)) | (~greater(age(sk2, sk5), eta)))),
% 0.22/0.46 inference(quant_inst,[status(thm)],[])).
% 0.22/0.46 tff(279,plain,
% 0.22/0.46 ((~![B: $i, A: $i] : ((~has_endowment(A)) | (~has_immunity(A, B)) | (~greater(age(A, B), eta)))) | (~has_endowment(sk2)) | (~has_immunity(sk2, sk5)) | (~greater(age(sk2, sk5), eta))),
% 0.22/0.46 inference(modus_ponens,[status(thm)],[278, 277])).
% 0.22/0.46 tff(280,plain,
% 0.22/0.46 (~has_immunity(sk2, sk5)),
% 0.22/0.46 inference(unit_resolution,[status(thm)],[279, 202, 118, 276])).
% 0.22/0.46 tff(281,assumption,(~greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4))), introduced(assumption)).
% 0.22/0.46 tff(282,plain,
% 0.22/0.46 (^[B: $i, A: $i, C: $i] : refl((greater(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | has_immunity(A, C) | (~has_immunity(A, B)) | (~organization(A))) <=> (greater(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | has_immunity(A, C) | (~has_immunity(A, B)) | (~organization(A))))),
% 0.22/0.46 inference(bind,[status(th)],[])).
% 0.22/0.46 tff(283,plain,
% 0.22/0.46 (![B: $i, A: $i, C: $i] : (greater(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | has_immunity(A, C) | (~has_immunity(A, B)) | (~organization(A))) <=> ![B: $i, A: $i, C: $i] : (greater(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | has_immunity(A, C) | (~has_immunity(A, B)) | (~organization(A)))),
% 0.22/0.46 inference(quant_intro,[status(thm)],[282])).
% 0.22/0.46 tff(284,plain,
% 0.22/0.46 (![B: $i, A: $i, C: $i] : (greater(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | has_immunity(A, C) | (~has_immunity(A, B)) | (~organization(A))) <=> ![B: $i, A: $i, C: $i] : (greater(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | has_immunity(A, C) | (~has_immunity(A, B)) | (~organization(A)))),
% 0.22/0.46 inference(rewrite,[status(thm)],[])).
% 0.22/0.46 tff(285,plain,
% 0.22/0.46 (^[B: $i, A: $i, C: $i] : 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(hazard_of_mortality(A, C), hazard_of_mortality(A, B))) <=> ((has_immunity(A, C) | (~has_immunity(A, B)) | (~organization(A))) | greater(hazard_of_mortality(A, C), hazard_of_mortality(A, B))))), rewrite(((has_immunity(A, C) | (~has_immunity(A, B)) | (~organization(A))) | greater(hazard_of_mortality(A, C), hazard_of_mortality(A, B))) <=> (greater(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | has_immunity(A, C) | (~has_immunity(A, B)) | (~organization(A)))), (((((~organization(A)) | (~has_immunity(A, B))) | has_immunity(A, C)) | greater(hazard_of_mortality(A, C), hazard_of_mortality(A, B))) <=> (greater(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | has_immunity(A, C) | (~has_immunity(A, B)) | (~organization(A)))))),
% 0.22/0.46 inference(bind,[status(th)],[])).
% 0.22/0.46 tff(286,plain,
% 0.22/0.46 (![B: $i, A: $i, C: $i] : ((((~organization(A)) | (~has_immunity(A, B))) | has_immunity(A, C)) | greater(hazard_of_mortality(A, C), hazard_of_mortality(A, B))) <=> ![B: $i, A: $i, C: $i] : (greater(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | has_immunity(A, C) | (~has_immunity(A, B)) | (~organization(A)))),
% 0.22/0.46 inference(quant_intro,[status(thm)],[285])).
% 0.22/0.46 tff(287,axiom,(![B: $i, A: $i, C: $i] : ((((~organization(A)) | (~has_immunity(A, B))) | has_immunity(A, C)) | greater(hazard_of_mortality(A, C), hazard_of_mortality(A, B)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','assumption_3_49')).
% 0.22/0.46 tff(288,plain,
% 0.22/0.46 (![B: $i, A: $i, C: $i] : (greater(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | has_immunity(A, C) | (~has_immunity(A, B)) | (~organization(A)))),
% 0.22/0.46 inference(modus_ponens,[status(thm)],[287, 286])).
% 0.22/0.46 tff(289,plain,
% 0.22/0.46 (![B: $i, A: $i, C: $i] : (greater(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | has_immunity(A, C) | (~has_immunity(A, B)) | (~organization(A)))),
% 0.22/0.46 inference(modus_ponens,[status(thm)],[288, 284])).
% 0.22/0.46 tff(290,plain,(
% 0.22/0.46 ![B: $i, A: $i, C: $i] : (greater(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | has_immunity(A, C) | (~has_immunity(A, B)) | (~organization(A)))),
% 0.22/0.46 inference(skolemize,[status(sab)],[289])).
% 0.22/0.46 tff(291,plain,
% 0.22/0.46 (![B: $i, A: $i, C: $i] : (greater(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | has_immunity(A, C) | (~has_immunity(A, B)) | (~organization(A)))),
% 0.22/0.46 inference(modus_ponens,[status(thm)],[290, 283])).
% 0.22/0.46 tff(292,plain,
% 0.22/0.46 (((~![B: $i, A: $i, C: $i] : (greater(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | has_immunity(A, C) | (~has_immunity(A, B)) | (~organization(A)))) | (greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4)) | (~has_immunity(sk2, sk4)) | has_immunity(sk2, sk5) | (~organization(sk2)))) <=> ((~![B: $i, A: $i, C: $i] : (greater(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | has_immunity(A, C) | (~has_immunity(A, B)) | (~organization(A)))) | greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4)) | (~has_immunity(sk2, sk4)) | has_immunity(sk2, sk5) | (~organization(sk2)))),
% 0.22/0.46 inference(rewrite,[status(thm)],[])).
% 0.22/0.46 tff(293,plain,
% 0.22/0.46 ((greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4)) | has_immunity(sk2, sk5) | (~has_immunity(sk2, sk4)) | (~organization(sk2))) <=> (greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4)) | (~has_immunity(sk2, sk4)) | has_immunity(sk2, sk5) | (~organization(sk2)))),
% 0.22/0.46 inference(rewrite,[status(thm)],[])).
% 0.22/0.46 tff(294,plain,
% 0.22/0.46 (((~![B: $i, A: $i, C: $i] : (greater(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | has_immunity(A, C) | (~has_immunity(A, B)) | (~organization(A)))) | (greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4)) | has_immunity(sk2, sk5) | (~has_immunity(sk2, sk4)) | (~organization(sk2)))) <=> ((~![B: $i, A: $i, C: $i] : (greater(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | has_immunity(A, C) | (~has_immunity(A, B)) | (~organization(A)))) | (greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4)) | (~has_immunity(sk2, sk4)) | has_immunity(sk2, sk5) | (~organization(sk2))))),
% 0.22/0.46 inference(monotonicity,[status(thm)],[293])).
% 0.22/0.46 tff(295,plain,
% 0.22/0.46 (((~![B: $i, A: $i, C: $i] : (greater(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | has_immunity(A, C) | (~has_immunity(A, B)) | (~organization(A)))) | (greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4)) | has_immunity(sk2, sk5) | (~has_immunity(sk2, sk4)) | (~organization(sk2)))) <=> ((~![B: $i, A: $i, C: $i] : (greater(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | has_immunity(A, C) | (~has_immunity(A, B)) | (~organization(A)))) | greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4)) | (~has_immunity(sk2, sk4)) | has_immunity(sk2, sk5) | (~organization(sk2)))),
% 0.22/0.46 inference(transitivity,[status(thm)],[294, 292])).
% 0.22/0.46 tff(296,plain,
% 0.22/0.46 ((~![B: $i, A: $i, C: $i] : (greater(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | has_immunity(A, C) | (~has_immunity(A, B)) | (~organization(A)))) | (greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4)) | has_immunity(sk2, sk5) | (~has_immunity(sk2, sk4)) | (~organization(sk2)))),
% 0.22/0.46 inference(quant_inst,[status(thm)],[])).
% 0.22/0.46 tff(297,plain,
% 0.22/0.46 ((~![B: $i, A: $i, C: $i] : (greater(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | has_immunity(A, C) | (~has_immunity(A, B)) | (~organization(A)))) | greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4)) | (~has_immunity(sk2, sk4)) | has_immunity(sk2, sk5) | (~organization(sk2))),
% 0.22/0.46 inference(modus_ponens,[status(thm)],[296, 295])).
% 0.22/0.46 tff(298,plain,
% 0.22/0.46 ($false),
% 0.22/0.46 inference(unit_resolution,[status(thm)],[297, 291, 3, 281, 135, 280])).
% 0.22/0.46 tff(299,plain,(greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4))), inference(lemma,lemma(discharge,[]))).
% 0.22/0.46 tff(300,plain,
% 0.22/0.47 (((~greater(hazard_of_mortality(sk2, sk6), hazard_of_mortality(sk2, sk5))) | (~greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4))) | (~(hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3)))) <=> ((~greater(hazard_of_mortality(sk2, sk6), hazard_of_mortality(sk2, sk5))) | (~greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4))) | (~(hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3))))),
% 0.22/0.47 inference(rewrite,[status(thm)],[])).
% 0.22/0.47 tff(301,plain,
% 0.22/0.47 ((((~greater(hazard_of_mortality(sk2, sk6), hazard_of_mortality(sk2, sk5))) | (~greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4)))) | (~(hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3)))) <=> ((~greater(hazard_of_mortality(sk2, sk6), hazard_of_mortality(sk2, sk5))) | (~greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4))) | (~(hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3))))),
% 0.22/0.47 inference(rewrite,[status(thm)],[])).
% 0.22/0.47 tff(302,plain,
% 0.22/0.47 (((~greater(hazard_of_mortality(sk2, sk6), hazard_of_mortality(sk2, sk5))) | (~greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4)))) <=> ((~greater(hazard_of_mortality(sk2, sk6), hazard_of_mortality(sk2, sk5))) | (~greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4))))),
% 0.22/0.47 inference(rewrite,[status(thm)],[])).
% 0.22/0.47 tff(303,plain,
% 0.22/0.47 ((((~greater(hazard_of_mortality(sk2, sk6), hazard_of_mortality(sk2, sk5))) | (~greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4)))) | (~(hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3)))) <=> (((~greater(hazard_of_mortality(sk2, sk6), hazard_of_mortality(sk2, sk5))) | (~greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4)))) | (~(hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3))))),
% 0.22/0.47 inference(monotonicity,[status(thm)],[302])).
% 0.22/0.47 tff(304,plain,
% 0.22/0.47 ((((~greater(hazard_of_mortality(sk2, sk6), hazard_of_mortality(sk2, sk5))) | (~greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4)))) | (~(hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3)))) <=> ((~greater(hazard_of_mortality(sk2, sk6), hazard_of_mortality(sk2, sk5))) | (~greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4))) | (~(hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3))))),
% 0.22/0.47 inference(transitivity,[status(thm)],[303, 301])).
% 0.22/0.47 tff(305,axiom,(((~greater(hazard_of_mortality(sk2, sk6), hazard_of_mortality(sk2, sk5))) | (~greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4)))) | (~(hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','theorem_4_67')).
% 0.22/0.47 tff(306,plain,
% 0.22/0.47 ((~greater(hazard_of_mortality(sk2, sk6), hazard_of_mortality(sk2, sk5))) | (~greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4))) | (~(hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3)))),
% 0.22/0.47 inference(modus_ponens,[status(thm)],[305, 304])).
% 0.22/0.47 tff(307,plain,
% 0.22/0.47 ((~greater(hazard_of_mortality(sk2, sk6), hazard_of_mortality(sk2, sk5))) | (~greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4))) | (~(hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3)))),
% 0.22/0.47 inference(modus_ponens,[status(thm)],[306, 300])).
% 0.22/0.47 tff(308,plain,
% 0.22/0.47 ((~greater(hazard_of_mortality(sk2, sk6), hazard_of_mortality(sk2, sk5))) | (~greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4))) | (~(hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3)))),
% 0.22/0.47 inference(modus_ponens,[status(thm)],[307, 300])).
% 0.22/0.47 tff(309,plain,
% 0.22/0.47 ((~greater(hazard_of_mortality(sk2, sk6), hazard_of_mortality(sk2, sk5))) | (~greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4))) | (~(hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3)))),
% 0.22/0.47 inference(modus_ponens,[status(thm)],[308, 300])).
% 0.22/0.47 tff(310,plain,
% 0.22/0.47 ((~greater(hazard_of_mortality(sk2, sk6), hazard_of_mortality(sk2, sk5))) | (~greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4))) | (~(hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3)))),
% 0.22/0.47 inference(modus_ponens,[status(thm)],[309, 300])).
% 0.22/0.47 tff(311,plain,
% 0.22/0.47 (~greater(hazard_of_mortality(sk2, sk6), hazard_of_mortality(sk2, sk5))),
% 0.22/0.47 inference(unit_resolution,[status(thm)],[310, 299, 273])).
% 0.22/0.47 tff(312,plain,
% 0.22/0.47 (((~![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))) | ((~smaller(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk6))) | greater(hazard_of_mortality(sk2, sk6), hazard_of_mortality(sk2, sk5)))) <=> ((~![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))) | (~smaller(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk6))) | greater(hazard_of_mortality(sk2, sk6), hazard_of_mortality(sk2, sk5)))),
% 0.22/0.47 inference(rewrite,[status(thm)],[])).
% 0.22/0.47 tff(313,plain,
% 0.22/0.47 ((~![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))) | ((~smaller(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk6))) | greater(hazard_of_mortality(sk2, sk6), hazard_of_mortality(sk2, sk5)))),
% 0.22/0.47 inference(quant_inst,[status(thm)],[])).
% 0.22/0.47 tff(314,plain,
% 0.22/0.47 ((~![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))) | (~smaller(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk6))) | greater(hazard_of_mortality(sk2, sk6), hazard_of_mortality(sk2, sk5))),
% 0.22/0.47 inference(modus_ponens,[status(thm)],[313, 312])).
% 0.22/0.47 tff(315,plain,
% 0.22/0.47 (~smaller(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk6))),
% 0.22/0.47 inference(unit_resolution,[status(thm)],[314, 108, 311])).
% 0.22/0.47 tff(316,plain,
% 0.22/0.47 (((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | ((~greater(age(sk2, sk5), eta)) | greater(age(sk2, sk6), eta) | (~greater(age(sk2, sk6), age(sk2, sk5))))) <=> ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (~greater(age(sk2, sk5), eta)) | greater(age(sk2, sk6), eta) | (~greater(age(sk2, sk6), age(sk2, sk5))))),
% 0.22/0.47 inference(rewrite,[status(thm)],[])).
% 0.22/0.47 tff(317,plain,
% 0.22/0.47 ((greater(age(sk2, sk6), eta) | (~greater(age(sk2, sk5), eta)) | (~greater(age(sk2, sk6), age(sk2, sk5)))) <=> ((~greater(age(sk2, sk5), eta)) | greater(age(sk2, sk6), eta) | (~greater(age(sk2, sk6), age(sk2, sk5))))),
% 0.22/0.47 inference(rewrite,[status(thm)],[])).
% 0.22/0.47 tff(318,plain,
% 0.22/0.47 (((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(age(sk2, sk6), eta) | (~greater(age(sk2, sk5), eta)) | (~greater(age(sk2, sk6), age(sk2, sk5))))) <=> ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | ((~greater(age(sk2, sk5), eta)) | greater(age(sk2, sk6), eta) | (~greater(age(sk2, sk6), age(sk2, sk5)))))),
% 0.22/0.47 inference(monotonicity,[status(thm)],[317])).
% 0.22/0.47 tff(319,plain,
% 0.22/0.47 (((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(age(sk2, sk6), eta) | (~greater(age(sk2, sk5), eta)) | (~greater(age(sk2, sk6), age(sk2, sk5))))) <=> ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (~greater(age(sk2, sk5), eta)) | greater(age(sk2, sk6), eta) | (~greater(age(sk2, sk6), age(sk2, sk5))))),
% 0.22/0.47 inference(transitivity,[status(thm)],[318, 316])).
% 0.22/0.47 tff(320,plain,
% 0.22/0.47 ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(age(sk2, sk6), eta) | (~greater(age(sk2, sk5), eta)) | (~greater(age(sk2, sk6), age(sk2, sk5))))),
% 0.22/0.47 inference(quant_inst,[status(thm)],[])).
% 0.22/0.47 tff(321,plain,
% 0.22/0.47 ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (~greater(age(sk2, sk5), eta)) | greater(age(sk2, sk6), eta) | (~greater(age(sk2, sk6), age(sk2, sk5)))),
% 0.22/0.47 inference(modus_ponens,[status(thm)],[320, 319])).
% 0.22/0.47 tff(322,plain,
% 0.22/0.47 (greater(age(sk2, sk6), eta)),
% 0.22/0.47 inference(unit_resolution,[status(thm)],[321, 216, 276, 36])).
% 0.22/0.47 tff(323,plain,
% 0.22/0.47 (((~![B: $i, A: $i] : ((~has_endowment(A)) | (~has_immunity(A, B)) | (~greater(age(A, B), eta)))) | ((~has_endowment(sk2)) | (~has_immunity(sk2, sk6)) | (~greater(age(sk2, sk6), eta)))) <=> ((~![B: $i, A: $i] : ((~has_endowment(A)) | (~has_immunity(A, B)) | (~greater(age(A, B), eta)))) | (~has_endowment(sk2)) | (~has_immunity(sk2, sk6)) | (~greater(age(sk2, sk6), eta)))),
% 0.22/0.47 inference(rewrite,[status(thm)],[])).
% 0.22/0.47 tff(324,plain,
% 0.22/0.47 ((~![B: $i, A: $i] : ((~has_endowment(A)) | (~has_immunity(A, B)) | (~greater(age(A, B), eta)))) | ((~has_endowment(sk2)) | (~has_immunity(sk2, sk6)) | (~greater(age(sk2, sk6), eta)))),
% 0.22/0.47 inference(quant_inst,[status(thm)],[])).
% 0.22/0.47 tff(325,plain,
% 0.22/0.47 ((~![B: $i, A: $i] : ((~has_endowment(A)) | (~has_immunity(A, B)) | (~greater(age(A, B), eta)))) | (~has_endowment(sk2)) | (~has_immunity(sk2, sk6)) | (~greater(age(sk2, sk6), eta))),
% 0.22/0.47 inference(modus_ponens,[status(thm)],[324, 323])).
% 0.22/0.47 tff(326,plain,
% 0.22/0.47 (~has_immunity(sk2, sk6)),
% 0.22/0.47 inference(unit_resolution,[status(thm)],[325, 202, 118, 322])).
% 0.22/0.47 tff(327,plain,
% 0.22/0.47 (^[B: $i, A: $i, C: $i] : refl((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)) | 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)))))),
% 0.22/0.47 inference(bind,[status(th)],[])).
% 0.22/0.47 tff(328,plain,
% 0.22/0.47 (![B: $i, A: $i, C: $i] : (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)))) <=> ![B: $i, A: $i, C: $i] : (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))))),
% 0.22/0.47 inference(quant_intro,[status(thm)],[327])).
% 0.22/0.47 tff(329,plain,
% 0.22/0.47 (![B: $i, A: $i, C: $i] : (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)))) <=> ![B: $i, A: $i, C: $i] : (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))))),
% 0.22/0.47 inference(rewrite,[status(thm)],[])).
% 0.22/0.47 tff(330,plain,
% 0.22/0.47 (^[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)))) <=> (has_immunity(A, C) | has_immunity(A, B) | (~organization(A)) | (~greater(capability(A, C), capability(A, B))))), (((((~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)))))), ((((((~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)))) <=> ((has_immunity(A, C) | has_immunity(A, B) | (~organization(A)) | (~greater(capability(A, C), capability(A, B)))) | (~greater_or_equal(position(A, C), position(A, B)))))), rewrite(((has_immunity(A, C) | has_immunity(A, B) | (~organization(A)) | (~greater(capability(A, C), capability(A, B)))) | (~greater_or_equal(position(A, C), position(A, B)))) <=> (has_immunity(A, C) | has_immunity(A, B) | (~organization(A)) | (~greater_or_equal(position(A, C), position(A, B))) | (~greater(capability(A, C), capability(A, B))))), ((((((~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)))) <=> (has_immunity(A, C) | has_immunity(A, B) | (~organization(A)) | (~greater_or_equal(position(A, C), position(A, B))) | (~greater(capability(A, C), capability(A, B)))))), (((((((~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))) <=> ((has_immunity(A, C) | has_immunity(A, B) | (~organization(A)) | (~greater_or_equal(position(A, C), position(A, B))) | (~greater(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_or_equal(position(A, C), position(A, B))) | (~greater(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)) | 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))))), (((((((~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))) <=> (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))))))),
% 0.22/0.47 inference(bind,[status(th)],[])).
% 0.22/0.47 tff(331,plain,
% 0.22/0.47 (![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] : (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))))),
% 0.22/0.47 inference(quant_intro,[status(thm)],[330])).
% 0.22/0.47 tff(332,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_50')).
% 0.22/0.47 tff(333,plain,
% 0.22/0.47 (![B: $i, A: $i, C: $i] : (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))))),
% 0.22/0.47 inference(modus_ponens,[status(thm)],[332, 331])).
% 0.22/0.47 tff(334,plain,
% 0.22/0.47 (![B: $i, A: $i, C: $i] : (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))))),
% 0.22/0.47 inference(modus_ponens,[status(thm)],[333, 329])).
% 0.22/0.47 tff(335,plain,(
% 0.22/0.47 ![B: $i, A: $i, C: $i] : (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))))),
% 0.22/0.47 inference(skolemize,[status(sab)],[334])).
% 0.22/0.47 tff(336,plain,
% 0.22/0.47 (![B: $i, A: $i, C: $i] : (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))))),
% 0.22/0.47 inference(modus_ponens,[status(thm)],[335, 328])).
% 0.22/0.47 tff(337,plain,
% 0.22/0.47 (((~![B: $i, A: $i, C: $i] : (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(sk2, sk5) | has_immunity(sk2, sk6) | (~organization(sk2)) | smaller(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk6)) | (~greater_or_equal(position(sk2, sk5), position(sk2, sk6))) | (~greater(capability(sk2, sk5), capability(sk2, sk6))))) <=> ((~![B: $i, A: $i, C: $i] : (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(sk2, sk5) | has_immunity(sk2, sk6) | (~organization(sk2)) | smaller(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk6)) | (~greater_or_equal(position(sk2, sk5), position(sk2, sk6))) | (~greater(capability(sk2, sk5), capability(sk2, sk6))))),
% 0.22/0.48 inference(rewrite,[status(thm)],[])).
% 0.22/0.48 tff(338,plain,
% 0.22/0.48 ((~![B: $i, A: $i, C: $i] : (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(sk2, sk5) | has_immunity(sk2, sk6) | (~organization(sk2)) | smaller(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk6)) | (~greater_or_equal(position(sk2, sk5), position(sk2, sk6))) | (~greater(capability(sk2, sk5), capability(sk2, sk6))))),
% 0.22/0.48 inference(quant_inst,[status(thm)],[])).
% 0.22/0.48 tff(339,plain,
% 0.22/0.48 ((~![B: $i, A: $i, C: $i] : (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(sk2, sk5) | has_immunity(sk2, sk6) | (~organization(sk2)) | smaller(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk6)) | (~greater_or_equal(position(sk2, sk5), position(sk2, sk6))) | (~greater(capability(sk2, sk5), capability(sk2, sk6)))),
% 0.22/0.48 inference(modus_ponens,[status(thm)],[338, 337])).
% 0.22/0.48 tff(340,plain,
% 0.22/0.48 ((~greater_or_equal(position(sk2, sk5), position(sk2, sk6))) | (~greater(capability(sk2, sk5), capability(sk2, sk6)))),
% 0.22/0.48 inference(unit_resolution,[status(thm)],[339, 336, 3, 280, 326, 315])).
% 0.22/0.48 tff(341,plain,
% 0.22/0.48 (~greater_or_equal(position(sk2, sk5), position(sk2, sk6))),
% 0.22/0.48 inference(unit_resolution,[status(thm)],[340, 112])).
% 0.22/0.48 tff(342,plain,
% 0.22/0.48 (~greater_or_equal(position(sk2, sk5), position(sk2, sk5))),
% 0.22/0.48 inference(modus_ponens,[status(thm)],[341, 31])).
% 0.22/0.48 tff(343,plain,
% 0.22/0.48 (^[B: $i] : refl(greater_or_equal(B, B) <=> greater_or_equal(B, B))),
% 0.22/0.48 inference(bind,[status(th)],[])).
% 0.22/0.48 tff(344,plain,
% 0.22/0.48 (![B: $i] : greater_or_equal(B, B) <=> ![B: $i] : greater_or_equal(B, B)),
% 0.22/0.48 inference(quant_intro,[status(thm)],[343])).
% 0.22/0.48 tff(345,plain,
% 0.22/0.48 (![B: $i] : greater_or_equal(B, B) <=> ![B: $i] : greater_or_equal(B, B)),
% 0.22/0.48 inference(rewrite,[status(thm)],[])).
% 0.22/0.48 tff(346,plain,
% 0.22/0.48 (![B: $i, A: $i] : greater_or_equal(B, B) <=> ![B: $i] : greater_or_equal(B, B)),
% 0.22/0.48 inference(elim_unused_vars,[status(thm)],[])).
% 0.22/0.48 tff(347,plain,
% 0.22/0.48 (![B: $i, A: $i] : ((~(A = B)) | greater_or_equal(A, B)) <=> ![B: $i, A: $i] : greater_or_equal(B, B)),
% 0.22/0.48 inference(destructive_equality_resolution,[status(thm)],[])).
% 0.22/0.48 tff(348,plain,
% 0.22/0.48 (![B: $i, A: $i] : ((~(A = B)) | greater_or_equal(A, B)) <=> ![B: $i] : greater_or_equal(B, B)),
% 0.22/0.48 inference(transitivity,[status(thm)],[347, 346])).
% 0.22/0.48 tff(349,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')).
% 0.22/0.48 tff(350,plain,
% 0.22/0.48 (![B: $i] : greater_or_equal(B, B)),
% 0.22/0.48 inference(modus_ponens,[status(thm)],[349, 348])).
% 0.22/0.48 tff(351,plain,
% 0.22/0.48 (![B: $i] : greater_or_equal(B, B)),
% 0.22/0.48 inference(modus_ponens,[status(thm)],[350, 345])).
% 0.22/0.48 tff(352,plain,(
% 0.22/0.48 ![B: $i] : greater_or_equal(B, B)),
% 0.22/0.48 inference(skolemize,[status(sab)],[351])).
% 0.22/0.48 tff(353,plain,
% 0.22/0.48 (![B: $i] : greater_or_equal(B, B)),
% 0.22/0.48 inference(modus_ponens,[status(thm)],[352, 344])).
% 0.22/0.48 tff(354,plain,
% 0.22/0.48 ((~![B: $i] : greater_or_equal(B, B)) | greater_or_equal(position(sk2, sk5), position(sk2, sk5))),
% 0.22/0.48 inference(quant_inst,[status(thm)],[])).
% 0.22/0.48 tff(355,plain,
% 0.22/0.48 ($false),
% 0.22/0.48 inference(unit_resolution,[status(thm)],[354, 353, 342])).
% 0.22/0.48 % SZS output end Proof
% 0.22/0.48 % E exiting
%------------------------------------------------------------------------------