%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : MGT047-1 : TPTP v9.3.0. Released v2.4.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : run_E %s %d THM
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 8 06:24:06 AM UTC 2026
% Result : Unsatisfiable 0.13s 0.44s
% Output : Proof 0.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT047-1 : TPTP v9.3.0. Released v2.4.0.
% 0.00/0.02 % Command : run_E %s %d THM
% 0.09/0.36 % Computer : n001.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 7 13:18:09 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.13/0.44 % SZS status Unsatisfiable
% 0.13/0.44 % SZS output start Proof
% 0.13/0.44 tff(greater_type, type, (
% 0.13/0.44 greater: ( $i * $i ) > $o)).
% 0.13/0.44 tff(external_ties_type, type, (
% 0.13/0.44 external_ties: ( $i * $i ) > $i)).
% 0.13/0.44 tff(sk5_type, type, (
% 0.13/0.44 sk5: $i)).
% 0.13/0.44 tff(sk2_type, type, (
% 0.13/0.44 sk2: $i)).
% 0.13/0.44 tff(sk6_type, type, (
% 0.13/0.44 sk6: $i)).
% 0.13/0.44 tff(position_type, type, (
% 0.13/0.44 position: ( $i * $i ) > $i)).
% 0.13/0.44 tff(greater_or_equal_type, type, (
% 0.13/0.44 greater_or_equal: ( $i * $i ) > $o)).
% 0.13/0.44 tff(capability_type, type, (
% 0.13/0.44 capability: ( $i * $i ) > $i)).
% 0.13/0.44 tff(smaller_or_equal_type, type, (
% 0.13/0.44 smaller_or_equal: ( $i * $i ) > $o)).
% 0.13/0.44 tff(internal_friction_type, type, (
% 0.13/0.44 internal_friction: ( $i * $i ) > $i)).
% 0.13/0.44 tff(organization_type, type, (
% 0.13/0.44 organization: $i > $o)).
% 0.13/0.44 tff(stock_of_knowledge_type, type, (
% 0.13/0.44 stock_of_knowledge: ( $i * $i ) > $i)).
% 0.13/0.44 tff(age_type, type, (
% 0.13/0.44 age: ( $i * $i ) > $i)).
% 0.13/0.44 tff(smaller_type, type, (
% 0.13/0.44 smaller: ( $i * $i ) > $o)).
% 0.13/0.44 tff(hazard_of_mortality_type, type, (
% 0.13/0.44 hazard_of_mortality: ( $i * $i ) > $i)).
% 0.13/0.44 tff(sk3_type, type, (
% 0.13/0.44 sk3: $i)).
% 0.13/0.44 tff(sk4_type, type, (
% 0.13/0.44 sk4: $i)).
% 0.13/0.44 tff(has_immunity_type, type, (
% 0.13/0.44 has_immunity: ( $i * $i ) > $o)).
% 0.13/0.44 tff(eta_type, type, (
% 0.13/0.44 eta: $i)).
% 0.13/0.44 tff(has_endowment_type, type, (
% 0.13/0.44 has_endowment: $i > $o)).
% 0.13/0.44 tff(1,plain,
% 0.13/0.44 (organization(sk2) <=> organization(sk2)),
% 0.13/0.44 inference(rewrite,[status(thm)],[])).
% 0.13/0.44 tff(2,axiom,(organization(sk2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','theorem_2_61')).
% 0.13/0.44 tff(3,plain,
% 0.13/0.44 (organization(sk2)),
% 0.13/0.44 inference(modus_ponens,[status(thm)],[2, 1])).
% 0.13/0.44 tff(4,plain,
% 0.13/0.44 (^[B: $i, A: $i, C: $i] : refl(((~organization(A)) | (internal_friction(A, B) = internal_friction(A, C))) <=> ((~organization(A)) | (internal_friction(A, B) = internal_friction(A, C))))),
% 0.13/0.44 inference(bind,[status(th)],[])).
% 0.13/0.44 tff(5,plain,
% 0.13/0.44 (![B: $i, A: $i, C: $i] : ((~organization(A)) | (internal_friction(A, B) = internal_friction(A, C))) <=> ![B: $i, A: $i, C: $i] : ((~organization(A)) | (internal_friction(A, B) = internal_friction(A, C)))),
% 0.13/0.44 inference(quant_intro,[status(thm)],[4])).
% 0.13/0.44 tff(6,plain,
% 0.13/0.44 (![B: $i, A: $i, C: $i] : ((~organization(A)) | (internal_friction(A, B) = internal_friction(A, C))) <=> ![B: $i, A: $i, C: $i] : ((~organization(A)) | (internal_friction(A, B) = internal_friction(A, C)))),
% 0.13/0.44 inference(rewrite,[status(thm)],[])).
% 0.13/0.44 tff(7,axiom,(![B: $i, A: $i, C: $i] : ((~organization(A)) | (internal_friction(A, B) = internal_friction(A, C)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','assumption_9_60')).
% 0.13/0.44 tff(8,plain,
% 0.13/0.44 (![B: $i, A: $i, C: $i] : ((~organization(A)) | (internal_friction(A, B) = internal_friction(A, C)))),
% 0.13/0.44 inference(modus_ponens,[status(thm)],[7, 6])).
% 0.13/0.44 tff(9,plain,(
% 0.13/0.44 ![B: $i, A: $i, C: $i] : ((~organization(A)) | (internal_friction(A, B) = internal_friction(A, C)))),
% 0.13/0.44 inference(skolemize,[status(sab)],[8])).
% 0.13/0.44 tff(10,plain,
% 0.13/0.44 (![B: $i, A: $i, C: $i] : ((~organization(A)) | (internal_friction(A, B) = internal_friction(A, C)))),
% 0.13/0.44 inference(modus_ponens,[status(thm)],[9, 5])).
% 0.13/0.44 tff(11,plain,
% 0.13/0.44 (((~![B: $i, A: $i, C: $i] : ((~organization(A)) | (internal_friction(A, B) = internal_friction(A, C)))) | ((~organization(sk2)) | (internal_friction(sk2, sk5) = internal_friction(sk2, sk6)))) <=> ((~![B: $i, A: $i, C: $i] : ((~organization(A)) | (internal_friction(A, B) = internal_friction(A, C)))) | (~organization(sk2)) | (internal_friction(sk2, sk5) = internal_friction(sk2, sk6)))),
% 0.13/0.44 inference(rewrite,[status(thm)],[])).
% 0.13/0.44 tff(12,plain,
% 0.13/0.44 ((~![B: $i, A: $i, C: $i] : ((~organization(A)) | (internal_friction(A, B) = internal_friction(A, C)))) | ((~organization(sk2)) | (internal_friction(sk2, sk5) = internal_friction(sk2, sk6)))),
% 0.13/0.44 inference(quant_inst,[status(thm)],[])).
% 0.13/0.44 tff(13,plain,
% 0.13/0.44 ((~![B: $i, A: $i, C: $i] : ((~organization(A)) | (internal_friction(A, B) = internal_friction(A, C)))) | (~organization(sk2)) | (internal_friction(sk2, sk5) = internal_friction(sk2, sk6))),
% 0.13/0.44 inference(modus_ponens,[status(thm)],[12, 11])).
% 0.13/0.44 tff(14,plain,
% 0.13/0.44 (internal_friction(sk2, sk5) = internal_friction(sk2, sk6)),
% 0.13/0.44 inference(unit_resolution,[status(thm)],[13, 10, 3])).
% 0.13/0.44 tff(15,plain,
% 0.13/0.44 (smaller_or_equal(internal_friction(sk2, sk6), internal_friction(sk2, sk5)) <=> smaller_or_equal(internal_friction(sk2, sk6), internal_friction(sk2, sk6))),
% 0.13/0.44 inference(monotonicity,[status(thm)],[14])).
% 0.13/0.44 tff(16,plain,
% 0.13/0.44 (smaller_or_equal(internal_friction(sk2, sk6), internal_friction(sk2, sk6)) <=> smaller_or_equal(internal_friction(sk2, sk6), internal_friction(sk2, sk5))),
% 0.13/0.44 inference(symmetry,[status(thm)],[15])).
% 0.13/0.44 tff(17,assumption,(~smaller_or_equal(internal_friction(sk2, sk6), internal_friction(sk2, sk6))), introduced(assumption)).
% 0.13/0.44 tff(18,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(19,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)],[18])).
% 0.13/0.44 tff(20,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(21,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(22,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(23,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)],[22, 21])).
% 0.13/0.44 tff(24,axiom,(![B: $i, A: $i] : ((~(A = B)) | smaller_or_equal(A, B))), file('/export/starexec/sandbox/benchmark/Axioms/MGT001-0.ax','definition_smaller_or_equal_3')).
% 0.13/0.44 tff(25,plain,
% 0.13/0.44 (![B: $i] : smaller_or_equal(B, B)),
% 0.13/0.44 inference(modus_ponens,[status(thm)],[24, 23])).
% 0.13/0.44 tff(26,plain,
% 0.13/0.44 (![B: $i] : smaller_or_equal(B, B)),
% 0.13/0.44 inference(modus_ponens,[status(thm)],[25, 20])).
% 0.13/0.44 tff(27,plain,(
% 0.13/0.44 ![B: $i] : smaller_or_equal(B, B)),
% 0.13/0.44 inference(skolemize,[status(sab)],[26])).
% 0.13/0.44 tff(28,plain,
% 0.13/0.44 (![B: $i] : smaller_or_equal(B, B)),
% 0.13/0.44 inference(modus_ponens,[status(thm)],[27, 19])).
% 0.13/0.44 tff(29,plain,
% 0.13/0.44 ((~![B: $i] : smaller_or_equal(B, B)) | smaller_or_equal(internal_friction(sk2, sk6), internal_friction(sk2, sk6))),
% 0.13/0.44 inference(quant_inst,[status(thm)],[])).
% 0.13/0.44 tff(30,plain,
% 0.13/0.44 ($false),
% 0.13/0.44 inference(unit_resolution,[status(thm)],[29, 28, 17])).
% 0.13/0.44 tff(31,plain,(smaller_or_equal(internal_friction(sk2, sk6), internal_friction(sk2, sk6))), inference(lemma,lemma(discharge,[]))).
% 0.13/0.44 tff(32,plain,
% 0.13/0.44 (smaller_or_equal(internal_friction(sk2, sk6), internal_friction(sk2, sk5))),
% 0.13/0.44 inference(modus_ponens,[status(thm)],[31, 16])).
% 0.13/0.44 tff(33,assumption,(~smaller_or_equal(internal_friction(sk2, sk6), internal_friction(sk2, sk5))), introduced(assumption)).
% 0.13/0.44 tff(34,plain,
% 0.13/0.44 ($false),
% 0.13/0.44 inference(unit_resolution,[status(thm)],[33, 32])).
% 0.13/0.44 tff(35,plain,(smaller_or_equal(internal_friction(sk2, sk6), internal_friction(sk2, sk5))), inference(lemma,lemma(discharge,[]))).
% 0.13/0.44 tff(36,plain,
% 0.13/0.44 (greater(age(sk2, sk6), age(sk2, sk5)) <=> greater(age(sk2, sk6), age(sk2, sk5))),
% 0.13/0.44 inference(rewrite,[status(thm)],[])).
% 0.13/0.44 tff(37,axiom,(greater(age(sk2, sk6), age(sk2, sk5))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','theorem_2_66')).
% 0.13/0.44 tff(38,plain,
% 0.13/0.44 (greater(age(sk2, sk6), age(sk2, sk5))),
% 0.13/0.44 inference(modus_ponens,[status(thm)],[37, 36])).
% 0.13/0.44 tff(39,plain,
% 0.13/0.44 (^[B: $i, A: $i, C: $i] : refl(((~organization(A)) | greater(stock_of_knowledge(A, B), stock_of_knowledge(A, C)) | (~greater(age(A, B), age(A, C)))) <=> ((~organization(A)) | greater(stock_of_knowledge(A, B), stock_of_knowledge(A, C)) | (~greater(age(A, B), age(A, C)))))),
% 0.13/0.44 inference(bind,[status(th)],[])).
% 0.13/0.44 tff(40,plain,
% 0.13/0.44 (![B: $i, A: $i, C: $i] : ((~organization(A)) | greater(stock_of_knowledge(A, B), stock_of_knowledge(A, C)) | (~greater(age(A, B), age(A, C)))) <=> ![B: $i, A: $i, C: $i] : ((~organization(A)) | greater(stock_of_knowledge(A, B), stock_of_knowledge(A, C)) | (~greater(age(A, B), age(A, C))))),
% 0.13/0.44 inference(quant_intro,[status(thm)],[39])).
% 0.13/0.44 tff(41,plain,
% 0.13/0.44 (![B: $i, A: $i, C: $i] : ((~organization(A)) | greater(stock_of_knowledge(A, B), stock_of_knowledge(A, C)) | (~greater(age(A, B), age(A, C)))) <=> ![B: $i, A: $i, C: $i] : ((~organization(A)) | greater(stock_of_knowledge(A, B), stock_of_knowledge(A, C)) | (~greater(age(A, B), age(A, C))))),
% 0.13/0.45 inference(rewrite,[status(thm)],[])).
% 0.13/0.45 tff(42,plain,
% 0.13/0.45 (^[B: $i, A: $i, C: $i] : rewrite((((~organization(A)) | (~greater(age(A, B), age(A, C)))) | greater(stock_of_knowledge(A, B), stock_of_knowledge(A, C))) <=> ((~organization(A)) | greater(stock_of_knowledge(A, B), stock_of_knowledge(A, C)) | (~greater(age(A, B), age(A, C)))))),
% 0.13/0.45 inference(bind,[status(th)],[])).
% 0.13/0.45 tff(43,plain,
% 0.13/0.45 (![B: $i, A: $i, C: $i] : (((~organization(A)) | (~greater(age(A, B), age(A, C)))) | greater(stock_of_knowledge(A, B), stock_of_knowledge(A, C))) <=> ![B: $i, A: $i, C: $i] : ((~organization(A)) | greater(stock_of_knowledge(A, B), stock_of_knowledge(A, C)) | (~greater(age(A, B), age(A, C))))),
% 0.13/0.45 inference(quant_intro,[status(thm)],[42])).
% 0.13/0.45 tff(44,axiom,(![B: $i, A: $i, C: $i] : (((~organization(A)) | (~greater(age(A, B), age(A, C)))) | greater(stock_of_knowledge(A, B), stock_of_knowledge(A, C)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','assumption_7_58')).
% 0.13/0.45 tff(45,plain,
% 0.13/0.45 (![B: $i, A: $i, C: $i] : ((~organization(A)) | greater(stock_of_knowledge(A, B), stock_of_knowledge(A, C)) | (~greater(age(A, B), age(A, C))))),
% 0.13/0.45 inference(modus_ponens,[status(thm)],[44, 43])).
% 0.13/0.45 tff(46,plain,
% 0.13/0.45 (![B: $i, A: $i, C: $i] : ((~organization(A)) | greater(stock_of_knowledge(A, B), stock_of_knowledge(A, C)) | (~greater(age(A, B), age(A, C))))),
% 0.13/0.45 inference(modus_ponens,[status(thm)],[45, 41])).
% 0.13/0.45 tff(47,plain,(
% 0.13/0.45 ![B: $i, A: $i, C: $i] : ((~organization(A)) | greater(stock_of_knowledge(A, B), stock_of_knowledge(A, C)) | (~greater(age(A, B), age(A, C))))),
% 0.13/0.45 inference(skolemize,[status(sab)],[46])).
% 0.13/0.45 tff(48,plain,
% 0.13/0.45 (![B: $i, A: $i, C: $i] : ((~organization(A)) | greater(stock_of_knowledge(A, B), stock_of_knowledge(A, C)) | (~greater(age(A, B), age(A, C))))),
% 0.13/0.45 inference(modus_ponens,[status(thm)],[47, 40])).
% 0.13/0.45 tff(49,plain,
% 0.13/0.45 (((~![B: $i, A: $i, C: $i] : ((~organization(A)) | greater(stock_of_knowledge(A, B), stock_of_knowledge(A, C)) | (~greater(age(A, B), age(A, C))))) | ((~greater(age(sk2, sk6), age(sk2, sk5))) | (~organization(sk2)) | greater(stock_of_knowledge(sk2, sk6), stock_of_knowledge(sk2, sk5)))) <=> ((~![B: $i, A: $i, C: $i] : ((~organization(A)) | greater(stock_of_knowledge(A, B), stock_of_knowledge(A, C)) | (~greater(age(A, B), age(A, C))))) | (~greater(age(sk2, sk6), age(sk2, sk5))) | (~organization(sk2)) | greater(stock_of_knowledge(sk2, sk6), stock_of_knowledge(sk2, sk5)))),
% 0.13/0.45 inference(rewrite,[status(thm)],[])).
% 0.13/0.45 tff(50,plain,
% 0.13/0.45 (((~organization(sk2)) | greater(stock_of_knowledge(sk2, sk6), stock_of_knowledge(sk2, sk5)) | (~greater(age(sk2, sk6), age(sk2, sk5)))) <=> ((~greater(age(sk2, sk6), age(sk2, sk5))) | (~organization(sk2)) | greater(stock_of_knowledge(sk2, sk6), stock_of_knowledge(sk2, sk5)))),
% 0.13/0.45 inference(rewrite,[status(thm)],[])).
% 0.13/0.45 tff(51,plain,
% 0.13/0.45 (((~![B: $i, A: $i, C: $i] : ((~organization(A)) | greater(stock_of_knowledge(A, B), stock_of_knowledge(A, C)) | (~greater(age(A, B), age(A, C))))) | ((~organization(sk2)) | greater(stock_of_knowledge(sk2, sk6), stock_of_knowledge(sk2, sk5)) | (~greater(age(sk2, sk6), age(sk2, sk5))))) <=> ((~![B: $i, A: $i, C: $i] : ((~organization(A)) | greater(stock_of_knowledge(A, B), stock_of_knowledge(A, C)) | (~greater(age(A, B), age(A, C))))) | ((~greater(age(sk2, sk6), age(sk2, sk5))) | (~organization(sk2)) | greater(stock_of_knowledge(sk2, sk6), stock_of_knowledge(sk2, sk5))))),
% 0.13/0.45 inference(monotonicity,[status(thm)],[50])).
% 0.13/0.45 tff(52,plain,
% 0.13/0.45 (((~![B: $i, A: $i, C: $i] : ((~organization(A)) | greater(stock_of_knowledge(A, B), stock_of_knowledge(A, C)) | (~greater(age(A, B), age(A, C))))) | ((~organization(sk2)) | greater(stock_of_knowledge(sk2, sk6), stock_of_knowledge(sk2, sk5)) | (~greater(age(sk2, sk6), age(sk2, sk5))))) <=> ((~![B: $i, A: $i, C: $i] : ((~organization(A)) | greater(stock_of_knowledge(A, B), stock_of_knowledge(A, C)) | (~greater(age(A, B), age(A, C))))) | (~greater(age(sk2, sk6), age(sk2, sk5))) | (~organization(sk2)) | greater(stock_of_knowledge(sk2, sk6), stock_of_knowledge(sk2, sk5)))),
% 0.13/0.45 inference(transitivity,[status(thm)],[51, 49])).
% 0.13/0.45 tff(53,plain,
% 0.13/0.45 ((~![B: $i, A: $i, C: $i] : ((~organization(A)) | greater(stock_of_knowledge(A, B), stock_of_knowledge(A, C)) | (~greater(age(A, B), age(A, C))))) | ((~organization(sk2)) | greater(stock_of_knowledge(sk2, sk6), stock_of_knowledge(sk2, sk5)) | (~greater(age(sk2, sk6), age(sk2, sk5))))),
% 0.13/0.45 inference(quant_inst,[status(thm)],[])).
% 0.13/0.45 tff(54,plain,
% 0.13/0.45 ((~![B: $i, A: $i, C: $i] : ((~organization(A)) | greater(stock_of_knowledge(A, B), stock_of_knowledge(A, C)) | (~greater(age(A, B), age(A, C))))) | (~greater(age(sk2, sk6), age(sk2, sk5))) | (~organization(sk2)) | greater(stock_of_knowledge(sk2, sk6), stock_of_knowledge(sk2, sk5))),
% 0.13/0.45 inference(modus_ponens,[status(thm)],[53, 52])).
% 0.13/0.45 tff(55,plain,
% 0.13/0.45 (greater(stock_of_knowledge(sk2, sk6), stock_of_knowledge(sk2, sk5))),
% 0.13/0.45 inference(unit_resolution,[status(thm)],[54, 48, 3, 38])).
% 0.13/0.45 tff(56,plain,
% 0.13/0.45 (^[B: $i, A: $i, C: $i] : refl((greater(capability(A, B), capability(A, C)) | (~organization(A)) | (~smaller_or_equal(internal_friction(A, B), internal_friction(A, C))) | (~greater(stock_of_knowledge(A, B), stock_of_knowledge(A, C)))) <=> (greater(capability(A, B), capability(A, C)) | (~organization(A)) | (~smaller_or_equal(internal_friction(A, B), internal_friction(A, C))) | (~greater(stock_of_knowledge(A, B), stock_of_knowledge(A, C)))))),
% 0.13/0.45 inference(bind,[status(th)],[])).
% 0.13/0.45 tff(57,plain,
% 0.13/0.45 (![B: $i, A: $i, C: $i] : (greater(capability(A, B), capability(A, C)) | (~organization(A)) | (~smaller_or_equal(internal_friction(A, B), internal_friction(A, C))) | (~greater(stock_of_knowledge(A, B), stock_of_knowledge(A, C)))) <=> ![B: $i, A: $i, C: $i] : (greater(capability(A, B), capability(A, C)) | (~organization(A)) | (~smaller_or_equal(internal_friction(A, B), internal_friction(A, C))) | (~greater(stock_of_knowledge(A, B), stock_of_knowledge(A, C))))),
% 0.13/0.45 inference(quant_intro,[status(thm)],[56])).
% 0.13/0.45 tff(58,plain,
% 0.13/0.45 (![B: $i, A: $i, C: $i] : (greater(capability(A, B), capability(A, C)) | (~organization(A)) | (~smaller_or_equal(internal_friction(A, B), internal_friction(A, C))) | (~greater(stock_of_knowledge(A, B), stock_of_knowledge(A, C)))) <=> ![B: $i, A: $i, C: $i] : (greater(capability(A, B), capability(A, C)) | (~organization(A)) | (~smaller_or_equal(internal_friction(A, B), internal_friction(A, C))) | (~greater(stock_of_knowledge(A, B), stock_of_knowledge(A, C))))),
% 0.13/0.45 inference(rewrite,[status(thm)],[])).
% 0.13/0.45 tff(59,plain,
% 0.13/0.45 (^[B: $i, A: $i, C: $i] : trans(monotonicity(rewrite((((~organization(A)) | (~greater(stock_of_knowledge(A, B), stock_of_knowledge(A, C)))) | (~smaller_or_equal(internal_friction(A, B), internal_friction(A, C)))) <=> ((~organization(A)) | (~smaller_or_equal(internal_friction(A, B), internal_friction(A, C))) | (~greater(stock_of_knowledge(A, B), stock_of_knowledge(A, C))))), (((((~organization(A)) | (~greater(stock_of_knowledge(A, B), stock_of_knowledge(A, C)))) | (~smaller_or_equal(internal_friction(A, B), internal_friction(A, C)))) | greater(capability(A, B), capability(A, C))) <=> (((~organization(A)) | (~smaller_or_equal(internal_friction(A, B), internal_friction(A, C))) | (~greater(stock_of_knowledge(A, B), stock_of_knowledge(A, C)))) | greater(capability(A, B), capability(A, C))))), rewrite((((~organization(A)) | (~smaller_or_equal(internal_friction(A, B), internal_friction(A, C))) | (~greater(stock_of_knowledge(A, B), stock_of_knowledge(A, C)))) | greater(capability(A, B), capability(A, C))) <=> (greater(capability(A, B), capability(A, C)) | (~organization(A)) | (~smaller_or_equal(internal_friction(A, B), internal_friction(A, C))) | (~greater(stock_of_knowledge(A, B), stock_of_knowledge(A, C))))), (((((~organization(A)) | (~greater(stock_of_knowledge(A, B), stock_of_knowledge(A, C)))) | (~smaller_or_equal(internal_friction(A, B), internal_friction(A, C)))) | greater(capability(A, B), capability(A, C))) <=> (greater(capability(A, B), capability(A, C)) | (~organization(A)) | (~smaller_or_equal(internal_friction(A, B), internal_friction(A, C))) | (~greater(stock_of_knowledge(A, B), stock_of_knowledge(A, C))))))),
% 0.13/0.45 inference(bind,[status(th)],[])).
% 0.13/0.45 tff(60,plain,
% 0.13/0.45 (![B: $i, A: $i, C: $i] : ((((~organization(A)) | (~greater(stock_of_knowledge(A, B), stock_of_knowledge(A, C)))) | (~smaller_or_equal(internal_friction(A, B), internal_friction(A, C)))) | greater(capability(A, B), capability(A, C))) <=> ![B: $i, A: $i, C: $i] : (greater(capability(A, B), capability(A, C)) | (~organization(A)) | (~smaller_or_equal(internal_friction(A, B), internal_friction(A, C))) | (~greater(stock_of_knowledge(A, B), stock_of_knowledge(A, C))))),
% 0.13/0.45 inference(quant_intro,[status(thm)],[59])).
% 0.13/0.45 tff(61,axiom,(![B: $i, A: $i, C: $i] : ((((~organization(A)) | (~greater(stock_of_knowledge(A, B), stock_of_knowledge(A, C)))) | (~smaller_or_equal(internal_friction(A, B), internal_friction(A, C)))) | greater(capability(A, B), capability(A, C)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','assumption_5_53')).
% 0.13/0.45 tff(62,plain,
% 0.13/0.45 (![B: $i, A: $i, C: $i] : (greater(capability(A, B), capability(A, C)) | (~organization(A)) | (~smaller_or_equal(internal_friction(A, B), internal_friction(A, C))) | (~greater(stock_of_knowledge(A, B), stock_of_knowledge(A, C))))),
% 0.13/0.45 inference(modus_ponens,[status(thm)],[61, 60])).
% 0.13/0.45 tff(63,plain,
% 0.13/0.45 (![B: $i, A: $i, C: $i] : (greater(capability(A, B), capability(A, C)) | (~organization(A)) | (~smaller_or_equal(internal_friction(A, B), internal_friction(A, C))) | (~greater(stock_of_knowledge(A, B), stock_of_knowledge(A, C))))),
% 0.13/0.45 inference(modus_ponens,[status(thm)],[62, 58])).
% 0.13/0.45 tff(64,plain,(
% 0.13/0.45 ![B: $i, A: $i, C: $i] : (greater(capability(A, B), capability(A, C)) | (~organization(A)) | (~smaller_or_equal(internal_friction(A, B), internal_friction(A, C))) | (~greater(stock_of_knowledge(A, B), stock_of_knowledge(A, C))))),
% 0.13/0.45 inference(skolemize,[status(sab)],[63])).
% 0.13/0.45 tff(65,plain,
% 0.13/0.45 (![B: $i, A: $i, C: $i] : (greater(capability(A, B), capability(A, C)) | (~organization(A)) | (~smaller_or_equal(internal_friction(A, B), internal_friction(A, C))) | (~greater(stock_of_knowledge(A, B), stock_of_knowledge(A, C))))),
% 0.13/0.45 inference(modus_ponens,[status(thm)],[64, 57])).
% 0.13/0.45 tff(66,plain,
% 0.13/0.45 (((~![B: $i, A: $i, C: $i] : (greater(capability(A, B), capability(A, C)) | (~organization(A)) | (~smaller_or_equal(internal_friction(A, B), internal_friction(A, C))) | (~greater(stock_of_knowledge(A, B), stock_of_knowledge(A, C))))) | ((~organization(sk2)) | greater(capability(sk2, sk6), capability(sk2, sk5)) | (~smaller_or_equal(internal_friction(sk2, sk6), internal_friction(sk2, sk5))) | (~greater(stock_of_knowledge(sk2, sk6), stock_of_knowledge(sk2, sk5))))) <=> ((~![B: $i, A: $i, C: $i] : (greater(capability(A, B), capability(A, C)) | (~organization(A)) | (~smaller_or_equal(internal_friction(A, B), internal_friction(A, C))) | (~greater(stock_of_knowledge(A, B), stock_of_knowledge(A, C))))) | (~organization(sk2)) | greater(capability(sk2, sk6), capability(sk2, sk5)) | (~smaller_or_equal(internal_friction(sk2, sk6), internal_friction(sk2, sk5))) | (~greater(stock_of_knowledge(sk2, sk6), stock_of_knowledge(sk2, sk5))))),
% 0.13/0.45 inference(rewrite,[status(thm)],[])).
% 0.13/0.45 tff(67,plain,
% 0.13/0.45 ((greater(capability(sk2, sk6), capability(sk2, sk5)) | (~organization(sk2)) | (~smaller_or_equal(internal_friction(sk2, sk6), internal_friction(sk2, sk5))) | (~greater(stock_of_knowledge(sk2, sk6), stock_of_knowledge(sk2, sk5)))) <=> ((~organization(sk2)) | greater(capability(sk2, sk6), capability(sk2, sk5)) | (~smaller_or_equal(internal_friction(sk2, sk6), internal_friction(sk2, sk5))) | (~greater(stock_of_knowledge(sk2, sk6), stock_of_knowledge(sk2, sk5))))),
% 0.13/0.45 inference(rewrite,[status(thm)],[])).
% 0.13/0.45 tff(68,plain,
% 0.13/0.45 (((~![B: $i, A: $i, C: $i] : (greater(capability(A, B), capability(A, C)) | (~organization(A)) | (~smaller_or_equal(internal_friction(A, B), internal_friction(A, C))) | (~greater(stock_of_knowledge(A, B), stock_of_knowledge(A, C))))) | (greater(capability(sk2, sk6), capability(sk2, sk5)) | (~organization(sk2)) | (~smaller_or_equal(internal_friction(sk2, sk6), internal_friction(sk2, sk5))) | (~greater(stock_of_knowledge(sk2, sk6), stock_of_knowledge(sk2, sk5))))) <=> ((~![B: $i, A: $i, C: $i] : (greater(capability(A, B), capability(A, C)) | (~organization(A)) | (~smaller_or_equal(internal_friction(A, B), internal_friction(A, C))) | (~greater(stock_of_knowledge(A, B), stock_of_knowledge(A, C))))) | ((~organization(sk2)) | greater(capability(sk2, sk6), capability(sk2, sk5)) | (~smaller_or_equal(internal_friction(sk2, sk6), internal_friction(sk2, sk5))) | (~greater(stock_of_knowledge(sk2, sk6), stock_of_knowledge(sk2, sk5)))))),
% 0.13/0.45 inference(monotonicity,[status(thm)],[67])).
% 0.13/0.45 tff(69,plain,
% 0.13/0.45 (((~![B: $i, A: $i, C: $i] : (greater(capability(A, B), capability(A, C)) | (~organization(A)) | (~smaller_or_equal(internal_friction(A, B), internal_friction(A, C))) | (~greater(stock_of_knowledge(A, B), stock_of_knowledge(A, C))))) | (greater(capability(sk2, sk6), capability(sk2, sk5)) | (~organization(sk2)) | (~smaller_or_equal(internal_friction(sk2, sk6), internal_friction(sk2, sk5))) | (~greater(stock_of_knowledge(sk2, sk6), stock_of_knowledge(sk2, sk5))))) <=> ((~![B: $i, A: $i, C: $i] : (greater(capability(A, B), capability(A, C)) | (~organization(A)) | (~smaller_or_equal(internal_friction(A, B), internal_friction(A, C))) | (~greater(stock_of_knowledge(A, B), stock_of_knowledge(A, C))))) | (~organization(sk2)) | greater(capability(sk2, sk6), capability(sk2, sk5)) | (~smaller_or_equal(internal_friction(sk2, sk6), internal_friction(sk2, sk5))) | (~greater(stock_of_knowledge(sk2, sk6), stock_of_knowledge(sk2, sk5))))),
% 0.13/0.45 inference(transitivity,[status(thm)],[68, 66])).
% 0.13/0.45 tff(70,plain,
% 0.13/0.45 ((~![B: $i, A: $i, C: $i] : (greater(capability(A, B), capability(A, C)) | (~organization(A)) | (~smaller_or_equal(internal_friction(A, B), internal_friction(A, C))) | (~greater(stock_of_knowledge(A, B), stock_of_knowledge(A, C))))) | (greater(capability(sk2, sk6), capability(sk2, sk5)) | (~organization(sk2)) | (~smaller_or_equal(internal_friction(sk2, sk6), internal_friction(sk2, sk5))) | (~greater(stock_of_knowledge(sk2, sk6), stock_of_knowledge(sk2, sk5))))),
% 0.13/0.45 inference(quant_inst,[status(thm)],[])).
% 0.13/0.45 tff(71,plain,
% 0.13/0.45 ((~![B: $i, A: $i, C: $i] : (greater(capability(A, B), capability(A, C)) | (~organization(A)) | (~smaller_or_equal(internal_friction(A, B), internal_friction(A, C))) | (~greater(stock_of_knowledge(A, B), stock_of_knowledge(A, C))))) | (~organization(sk2)) | greater(capability(sk2, sk6), capability(sk2, sk5)) | (~smaller_or_equal(internal_friction(sk2, sk6), internal_friction(sk2, sk5))) | (~greater(stock_of_knowledge(sk2, sk6), stock_of_knowledge(sk2, sk5)))),
% 0.13/0.45 inference(modus_ponens,[status(thm)],[70, 69])).
% 0.13/0.45 tff(72,plain,
% 0.13/0.45 (greater(capability(sk2, sk6), capability(sk2, sk5)) | (~smaller_or_equal(internal_friction(sk2, sk6), internal_friction(sk2, sk5))) | (~greater(stock_of_knowledge(sk2, sk6), stock_of_knowledge(sk2, sk5)))),
% 0.13/0.45 inference(unit_resolution,[status(thm)],[71, 65, 3])).
% 0.13/0.45 tff(73,plain,
% 0.13/0.45 (greater(capability(sk2, sk6), capability(sk2, sk5))),
% 0.13/0.45 inference(unit_resolution,[status(thm)],[72, 55, 35])).
% 0.13/0.45 tff(74,plain,
% 0.13/0.45 (smaller_or_equal(age(sk2, sk4), eta) <=> smaller_or_equal(age(sk2, sk4), eta)),
% 0.13/0.45 inference(rewrite,[status(thm)],[])).
% 0.13/0.45 tff(75,axiom,(smaller_or_equal(age(sk2, sk4), eta)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','theorem_2_64')).
% 0.13/0.45 tff(76,plain,
% 0.13/0.45 (smaller_or_equal(age(sk2, sk4), eta)),
% 0.13/0.45 inference(modus_ponens,[status(thm)],[75, 74])).
% 0.13/0.45 tff(77,plain,
% 0.13/0.45 (has_endowment(sk2) <=> has_endowment(sk2)),
% 0.13/0.45 inference(rewrite,[status(thm)],[])).
% 0.13/0.45 tff(78,axiom,(has_endowment(sk2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','theorem_2_62')).
% 0.13/0.45 tff(79,plain,
% 0.13/0.45 (has_endowment(sk2)),
% 0.13/0.45 inference(modus_ponens,[status(thm)],[78, 77])).
% 0.13/0.45 tff(80,plain,
% 0.13/0.45 (^[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))))),
% 0.13/0.45 inference(bind,[status(th)],[])).
% 0.13/0.45 tff(81,plain,
% 0.13/0.45 (![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)))),
% 0.13/0.45 inference(quant_intro,[status(thm)],[80])).
% 0.13/0.45 tff(82,plain,
% 0.13/0.45 (![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)))),
% 0.13/0.45 inference(rewrite,[status(thm)],[])).
% 0.13/0.45 tff(83,plain,
% 0.13/0.45 (^[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))))),
% 0.13/0.45 inference(bind,[status(th)],[])).
% 0.13/0.45 tff(84,plain,
% 0.13/0.45 (![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)))),
% 0.13/0.45 inference(quant_intro,[status(thm)],[83])).
% 0.13/0.45 tff(85,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')).
% 0.13/0.45 tff(86,plain,
% 0.13/0.45 (![B: $i, A: $i] : ((~has_endowment(A)) | has_immunity(A, B) | (~smaller_or_equal(age(A, B), eta)))),
% 0.13/0.45 inference(modus_ponens,[status(thm)],[85, 84])).
% 0.13/0.45 tff(87,plain,
% 0.13/0.45 (![B: $i, A: $i] : ((~has_endowment(A)) | has_immunity(A, B) | (~smaller_or_equal(age(A, B), eta)))),
% 0.13/0.45 inference(modus_ponens,[status(thm)],[86, 82])).
% 0.13/0.45 tff(88,plain,(
% 0.13/0.45 ![B: $i, A: $i] : ((~has_endowment(A)) | has_immunity(A, B) | (~smaller_or_equal(age(A, B), eta)))),
% 0.13/0.45 inference(skolemize,[status(sab)],[87])).
% 0.13/0.45 tff(89,plain,
% 0.13/0.45 (![B: $i, A: $i] : ((~has_endowment(A)) | has_immunity(A, B) | (~smaller_or_equal(age(A, B), eta)))),
% 0.13/0.45 inference(modus_ponens,[status(thm)],[88, 81])).
% 0.13/0.45 tff(90,plain,
% 0.13/0.45 (((~![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))),
% 0.13/0.45 inference(rewrite,[status(thm)],[])).
% 0.13/0.45 tff(91,plain,
% 0.13/0.45 (((~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))),
% 0.13/0.45 inference(rewrite,[status(thm)],[])).
% 0.13/0.45 tff(92,plain,
% 0.13/0.45 (((~![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)))),
% 0.13/0.45 inference(monotonicity,[status(thm)],[91])).
% 0.13/0.45 tff(93,plain,
% 0.13/0.45 (((~![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))),
% 0.13/0.45 inference(transitivity,[status(thm)],[92, 90])).
% 0.13/0.45 tff(94,plain,
% 0.13/0.45 ((~![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)))),
% 0.13/0.45 inference(quant_inst,[status(thm)],[])).
% 0.13/0.45 tff(95,plain,
% 0.13/0.45 ((~![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)),
% 0.13/0.46 inference(modus_ponens,[status(thm)],[94, 93])).
% 0.13/0.46 tff(96,plain,
% 0.13/0.46 (has_immunity(sk2, sk4)),
% 0.13/0.46 inference(unit_resolution,[status(thm)],[95, 89, 79, 76])).
% 0.13/0.46 tff(97,assumption,(~smaller_or_equal(age(sk2, sk3), eta)), introduced(assumption)).
% 0.13/0.46 tff(98,assumption,(eta = age(sk2, sk3)), introduced(assumption)).
% 0.13/0.46 tff(99,plain,
% 0.13/0.46 (age(sk2, sk3) = eta),
% 0.13/0.46 inference(symmetry,[status(thm)],[98])).
% 0.13/0.46 tff(100,plain,
% 0.13/0.46 (smaller_or_equal(age(sk2, sk3), age(sk2, sk3)) <=> smaller_or_equal(age(sk2, sk3), eta)),
% 0.13/0.46 inference(monotonicity,[status(thm)],[99])).
% 0.13/0.46 tff(101,plain,
% 0.13/0.46 (smaller_or_equal(age(sk2, sk3), eta) <=> smaller_or_equal(age(sk2, sk3), age(sk2, sk3))),
% 0.13/0.46 inference(symmetry,[status(thm)],[100])).
% 0.13/0.46 tff(102,plain,
% 0.13/0.46 ((~smaller_or_equal(age(sk2, sk3), eta)) <=> (~smaller_or_equal(age(sk2, sk3), age(sk2, sk3)))),
% 0.13/0.46 inference(monotonicity,[status(thm)],[101])).
% 0.13/0.46 tff(103,plain,
% 0.13/0.46 (~smaller_or_equal(age(sk2, sk3), age(sk2, sk3))),
% 0.13/0.46 inference(modus_ponens,[status(thm)],[97, 102])).
% 0.13/0.46 tff(104,plain,
% 0.13/0.46 ((~![B: $i] : smaller_or_equal(B, B)) | smaller_or_equal(age(sk2, sk3), age(sk2, sk3))),
% 0.13/0.46 inference(quant_inst,[status(thm)],[])).
% 0.13/0.46 tff(105,plain,
% 0.13/0.46 (smaller_or_equal(age(sk2, sk3), age(sk2, sk3))),
% 0.13/0.46 inference(unit_resolution,[status(thm)],[104, 28])).
% 0.13/0.46 tff(106,plain,
% 0.13/0.46 ($false),
% 0.13/0.46 inference(unit_resolution,[status(thm)],[105, 103])).
% 0.13/0.46 tff(107,plain,((~(eta = age(sk2, sk3))) | smaller_or_equal(age(sk2, sk3), eta)), inference(lemma,lemma(discharge,[]))).
% 0.13/0.46 tff(108,plain,
% 0.13/0.46 (~(eta = age(sk2, sk3))),
% 0.13/0.46 inference(unit_resolution,[status(thm)],[107, 97])).
% 0.13/0.46 tff(109,plain,
% 0.13/0.46 (^[B: $i, A: $i] : refl(((~smaller(A, B)) | smaller_or_equal(A, B)) <=> ((~smaller(A, B)) | smaller_or_equal(A, B)))),
% 0.13/0.46 inference(bind,[status(th)],[])).
% 0.13/0.46 tff(110,plain,
% 0.13/0.46 (![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B)) <=> ![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B))),
% 0.13/0.46 inference(quant_intro,[status(thm)],[109])).
% 0.13/0.46 tff(111,plain,
% 0.13/0.46 (![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B)) <=> ![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B))),
% 0.13/0.46 inference(rewrite,[status(thm)],[])).
% 0.13/0.46 tff(112,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')).
% 0.13/0.46 tff(113,plain,
% 0.13/0.46 (![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B))),
% 0.13/0.46 inference(modus_ponens,[status(thm)],[112, 111])).
% 0.13/0.46 tff(114,plain,(
% 0.13/0.46 ![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B))),
% 0.13/0.46 inference(skolemize,[status(sab)],[113])).
% 0.13/0.46 tff(115,plain,
% 0.13/0.46 (![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B))),
% 0.13/0.46 inference(modus_ponens,[status(thm)],[114, 110])).
% 0.13/0.46 tff(116,plain,
% 0.13/0.46 (((~![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))),
% 0.13/0.46 inference(rewrite,[status(thm)],[])).
% 0.13/0.46 tff(117,plain,
% 0.13/0.46 ((~![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B))) | ((~smaller(age(sk2, sk3), eta)) | smaller_or_equal(age(sk2, sk3), eta))),
% 0.13/0.46 inference(quant_inst,[status(thm)],[])).
% 0.13/0.46 tff(118,plain,
% 0.13/0.46 ((~![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B))) | (~smaller(age(sk2, sk3), eta)) | smaller_or_equal(age(sk2, sk3), eta)),
% 0.13/0.46 inference(modus_ponens,[status(thm)],[117, 116])).
% 0.13/0.46 tff(119,plain,
% 0.13/0.46 (~smaller(age(sk2, sk3), eta)),
% 0.13/0.46 inference(unit_resolution,[status(thm)],[118, 115, 97])).
% 0.13/0.46 tff(120,plain,
% 0.13/0.46 (^[B: $i, A: $i] : refl(((~greater(A, B)) | smaller(B, A)) <=> ((~greater(A, B)) | smaller(B, A)))),
% 0.13/0.46 inference(bind,[status(th)],[])).
% 0.13/0.46 tff(121,plain,
% 0.13/0.46 (![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A)) <=> ![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))),
% 0.13/0.46 inference(quant_intro,[status(thm)],[120])).
% 0.13/0.46 tff(122,plain,
% 0.13/0.46 (![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A)) <=> ![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))),
% 0.13/0.46 inference(rewrite,[status(thm)],[])).
% 0.13/0.46 tff(123,axiom,(![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))), file('/export/starexec/sandbox/benchmark/Axioms/MGT001-0.ax','definition_smaller_8')).
% 0.13/0.46 tff(124,plain,
% 0.13/0.46 (![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))),
% 0.13/0.46 inference(modus_ponens,[status(thm)],[123, 122])).
% 0.13/0.46 tff(125,plain,(
% 0.13/0.46 ![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))),
% 0.13/0.46 inference(skolemize,[status(sab)],[124])).
% 0.13/0.46 tff(126,plain,
% 0.13/0.46 (![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))),
% 0.13/0.46 inference(modus_ponens,[status(thm)],[125, 121])).
% 0.13/0.46 tff(127,plain,
% 0.13/0.46 (((~![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))),
% 0.13/0.46 inference(rewrite,[status(thm)],[])).
% 0.13/0.46 tff(128,plain,
% 0.13/0.46 ((~![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))) | ((~greater(eta, age(sk2, sk3))) | smaller(age(sk2, sk3), eta))),
% 0.13/0.46 inference(quant_inst,[status(thm)],[])).
% 0.13/0.46 tff(129,plain,
% 0.13/0.46 ((~![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))) | (~greater(eta, age(sk2, sk3))) | smaller(age(sk2, sk3), eta)),
% 0.13/0.46 inference(modus_ponens,[status(thm)],[128, 127])).
% 0.13/0.46 tff(130,plain,
% 0.13/0.46 (~greater(eta, age(sk2, sk3))),
% 0.13/0.46 inference(unit_resolution,[status(thm)],[129, 126, 119])).
% 0.13/0.46 tff(131,plain,
% 0.13/0.46 (^[B: $i, A: $i] : refl(((A = B) | smaller(A, B) | greater(A, B)) <=> ((A = B) | smaller(A, B) | greater(A, B)))),
% 0.13/0.46 inference(bind,[status(th)],[])).
% 0.13/0.46 tff(132,plain,
% 0.13/0.46 (![B: $i, A: $i] : ((A = B) | smaller(A, B) | greater(A, B)) <=> ![B: $i, A: $i] : ((A = B) | smaller(A, B) | greater(A, B))),
% 0.13/0.46 inference(quant_intro,[status(thm)],[131])).
% 0.13/0.46 tff(133,plain,
% 0.13/0.46 (![B: $i, A: $i] : ((A = B) | smaller(A, B) | greater(A, B)) <=> ![B: $i, A: $i] : ((A = B) | smaller(A, B) | greater(A, B))),
% 0.13/0.46 inference(rewrite,[status(thm)],[])).
% 0.13/0.46 tff(134,plain,
% 0.13/0.46 (^[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))))),
% 0.13/0.46 inference(bind,[status(th)],[])).
% 0.13/0.46 tff(135,plain,
% 0.13/0.46 (![B: $i, A: $i] : ((smaller(A, B) | (A = B)) | greater(A, B)) <=> ![B: $i, A: $i] : ((A = B) | smaller(A, B) | greater(A, B))),
% 0.13/0.46 inference(quant_intro,[status(thm)],[134])).
% 0.13/0.46 tff(136,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')).
% 0.13/0.46 tff(137,plain,
% 0.13/0.46 (![B: $i, A: $i] : ((A = B) | smaller(A, B) | greater(A, B))),
% 0.13/0.46 inference(modus_ponens,[status(thm)],[136, 135])).
% 0.13/0.46 tff(138,plain,
% 0.13/0.46 (![B: $i, A: $i] : ((A = B) | smaller(A, B) | greater(A, B))),
% 0.13/0.46 inference(modus_ponens,[status(thm)],[137, 133])).
% 0.13/0.46 tff(139,plain,(
% 0.13/0.46 ![B: $i, A: $i] : ((A = B) | smaller(A, B) | greater(A, B))),
% 0.13/0.46 inference(skolemize,[status(sab)],[138])).
% 0.13/0.46 tff(140,plain,
% 0.13/0.46 (![B: $i, A: $i] : ((A = B) | smaller(A, B) | greater(A, B))),
% 0.13/0.46 inference(modus_ponens,[status(thm)],[139, 132])).
% 0.13/0.46 tff(141,plain,
% 0.13/0.46 (((~![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)))),
% 0.13/0.46 inference(rewrite,[status(thm)],[])).
% 0.13/0.46 tff(142,plain,
% 0.13/0.46 (((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)))),
% 0.13/0.46 inference(rewrite,[status(thm)],[])).
% 0.13/0.46 tff(143,plain,
% 0.13/0.46 (((~![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))))),
% 0.23/0.46 inference(monotonicity,[status(thm)],[142])).
% 0.23/0.46 tff(144,plain,
% 0.23/0.46 (((~![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)))),
% 0.23/0.46 inference(transitivity,[status(thm)],[143, 141])).
% 0.23/0.46 tff(145,plain,
% 0.23/0.46 ((~![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)))),
% 0.23/0.46 inference(quant_inst,[status(thm)],[])).
% 0.23/0.46 tff(146,plain,
% 0.23/0.46 ((~![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))),
% 0.23/0.46 inference(modus_ponens,[status(thm)],[145, 144])).
% 0.23/0.46 tff(147,plain,
% 0.23/0.46 ((eta = age(sk2, sk3)) | smaller(eta, age(sk2, sk3))),
% 0.23/0.46 inference(unit_resolution,[status(thm)],[146, 140, 130])).
% 0.23/0.46 tff(148,plain,
% 0.23/0.46 (smaller(eta, age(sk2, sk3))),
% 0.23/0.46 inference(unit_resolution,[status(thm)],[147, 108])).
% 0.23/0.46 tff(149,plain,
% 0.23/0.46 (^[B: $i, A: $i] : refl(((~smaller(A, B)) | greater(B, A)) <=> ((~smaller(A, B)) | greater(B, A)))),
% 0.23/0.46 inference(bind,[status(th)],[])).
% 0.23/0.46 tff(150,plain,
% 0.23/0.46 (![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A)) <=> ![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))),
% 0.23/0.46 inference(quant_intro,[status(thm)],[149])).
% 0.23/0.46 tff(151,plain,
% 0.23/0.46 (![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A)) <=> ![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))),
% 0.23/0.46 inference(rewrite,[status(thm)],[])).
% 0.23/0.46 tff(152,axiom,(![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))), file('/export/starexec/sandbox/benchmark/Axioms/MGT001-0.ax','definition_smaller_7')).
% 0.23/0.46 tff(153,plain,
% 0.23/0.46 (![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))),
% 0.23/0.46 inference(modus_ponens,[status(thm)],[152, 151])).
% 0.23/0.46 tff(154,plain,(
% 0.23/0.46 ![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))),
% 0.23/0.46 inference(skolemize,[status(sab)],[153])).
% 0.23/0.46 tff(155,plain,
% 0.23/0.46 (![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))),
% 0.23/0.46 inference(modus_ponens,[status(thm)],[154, 150])).
% 0.23/0.46 tff(156,plain,
% 0.23/0.46 (((~![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))),
% 0.23/0.46 inference(rewrite,[status(thm)],[])).
% 0.23/0.46 tff(157,plain,
% 0.23/0.46 ((~![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))) | ((~smaller(eta, age(sk2, sk3))) | greater(age(sk2, sk3), eta))),
% 0.23/0.46 inference(quant_inst,[status(thm)],[])).
% 0.23/0.46 tff(158,plain,
% 0.23/0.46 ((~![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))) | (~smaller(eta, age(sk2, sk3))) | greater(age(sk2, sk3), eta)),
% 0.23/0.46 inference(modus_ponens,[status(thm)],[157, 156])).
% 0.23/0.46 tff(159,plain,
% 0.23/0.46 (greater(age(sk2, sk3), eta)),
% 0.23/0.46 inference(unit_resolution,[status(thm)],[158, 155, 148])).
% 0.23/0.46 tff(160,assumption,(greater(age(sk2, sk4), age(sk2, sk3))), introduced(assumption)).
% 0.23/0.46 tff(161,plain,
% 0.23/0.46 (^[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))))),
% 0.23/0.46 inference(bind,[status(th)],[])).
% 0.23/0.46 tff(162,plain,
% 0.23/0.46 (![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)))),
% 0.23/0.46 inference(quant_intro,[status(thm)],[161])).
% 0.23/0.46 tff(163,plain,
% 0.23/0.46 (![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)))),
% 0.23/0.46 inference(rewrite,[status(thm)],[])).
% 0.23/0.46 tff(164,plain,
% 0.23/0.46 (^[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))))),
% 0.23/0.46 inference(bind,[status(th)],[])).
% 0.23/0.46 tff(165,plain,
% 0.23/0.46 (![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)))),
% 0.23/0.46 inference(quant_intro,[status(thm)],[164])).
% 0.23/0.46 tff(166,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')).
% 0.23/0.46 tff(167,plain,
% 0.23/0.46 (![B: $i, A: $i] : ((~has_endowment(A)) | (~has_immunity(A, B)) | (~greater(age(A, B), eta)))),
% 0.23/0.46 inference(modus_ponens,[status(thm)],[166, 165])).
% 0.23/0.46 tff(168,plain,
% 0.23/0.46 (![B: $i, A: $i] : ((~has_endowment(A)) | (~has_immunity(A, B)) | (~greater(age(A, B), eta)))),
% 0.23/0.46 inference(modus_ponens,[status(thm)],[167, 163])).
% 0.23/0.46 tff(169,plain,(
% 0.23/0.46 ![B: $i, A: $i] : ((~has_endowment(A)) | (~has_immunity(A, B)) | (~greater(age(A, B), eta)))),
% 0.23/0.46 inference(skolemize,[status(sab)],[168])).
% 0.23/0.46 tff(170,plain,
% 0.23/0.46 (![B: $i, A: $i] : ((~has_endowment(A)) | (~has_immunity(A, B)) | (~greater(age(A, B), eta)))),
% 0.23/0.46 inference(modus_ponens,[status(thm)],[169, 162])).
% 0.23/0.46 tff(171,plain,
% 0.23/0.46 (((~![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)))),
% 0.23/0.46 inference(rewrite,[status(thm)],[])).
% 0.23/0.46 tff(172,plain,
% 0.23/0.46 ((~![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)))),
% 0.23/0.46 inference(quant_inst,[status(thm)],[])).
% 0.23/0.46 tff(173,plain,
% 0.23/0.46 ((~![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))),
% 0.23/0.46 inference(modus_ponens,[status(thm)],[172, 171])).
% 0.23/0.46 tff(174,plain,
% 0.23/0.46 (~greater(age(sk2, sk4), eta)),
% 0.23/0.46 inference(unit_resolution,[status(thm)],[173, 170, 79, 96])).
% 0.23/0.46 tff(175,assumption,(greater(age(sk2, sk3), eta)), introduced(assumption)).
% 0.23/0.46 tff(176,plain,
% 0.23/0.46 (![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)))),
% 0.23/0.46 inference(rewrite,[status(thm)],[])).
% 0.23/0.46 tff(177,plain,
% 0.23/0.46 (![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)))),
% 0.23/0.46 inference(rewrite,[status(thm)],[])).
% 0.23/0.46 tff(178,plain,
% 0.23/0.46 (^[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))))),
% 0.23/0.46 inference(bind,[status(th)],[])).
% 0.23/0.46 tff(179,plain,
% 0.23/0.46 (![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)))),
% 0.23/0.46 inference(quant_intro,[status(thm)],[178])).
% 0.23/0.46 tff(180,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')).
% 0.23/0.46 tff(181,plain,
% 0.23/0.46 (![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))),
% 0.23/0.46 inference(modus_ponens,[status(thm)],[180, 179])).
% 0.23/0.46 tff(182,plain,
% 0.23/0.46 (![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))),
% 0.23/0.46 inference(modus_ponens,[status(thm)],[181, 177])).
% 0.23/0.46 tff(183,plain,(
% 0.23/0.46 ![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))),
% 0.23/0.46 inference(skolemize,[status(sab)],[182])).
% 0.23/0.46 tff(184,plain,
% 0.23/0.46 (![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))),
% 0.23/0.47 inference(modus_ponens,[status(thm)],[183, 176])).
% 0.23/0.47 tff(185,plain,
% 0.23/0.47 (((~![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))))),
% 0.23/0.47 inference(rewrite,[status(thm)],[])).
% 0.23/0.47 tff(186,plain,
% 0.23/0.47 ((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))))),
% 0.23/0.47 inference(rewrite,[status(thm)],[])).
% 0.23/0.47 tff(187,plain,
% 0.23/0.47 (((~![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)))))),
% 0.23/0.47 inference(monotonicity,[status(thm)],[186])).
% 0.23/0.47 tff(188,plain,
% 0.23/0.47 (((~![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))))),
% 0.23/0.47 inference(transitivity,[status(thm)],[187, 185])).
% 0.23/0.47 tff(189,plain,
% 0.23/0.47 ((~![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))))),
% 0.23/0.47 inference(quant_inst,[status(thm)],[])).
% 0.23/0.47 tff(190,plain,
% 0.23/0.47 ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (~greater(age(sk2, sk3), eta)) | greater(age(sk2, sk4), eta) | (~greater(age(sk2, sk4), age(sk2, sk3)))),
% 0.23/0.47 inference(modus_ponens,[status(thm)],[189, 188])).
% 0.23/0.47 tff(191,plain,
% 0.23/0.47 ($false),
% 0.23/0.47 inference(unit_resolution,[status(thm)],[190, 184, 175, 174, 160])).
% 0.23/0.47 tff(192,plain,((~greater(age(sk2, sk4), age(sk2, sk3))) | (~greater(age(sk2, sk3), eta))), inference(lemma,lemma(discharge,[]))).
% 0.23/0.47 tff(193,plain,
% 0.23/0.47 (~greater(age(sk2, sk4), age(sk2, sk3))),
% 0.23/0.47 inference(unit_resolution,[status(thm)],[192, 159])).
% 0.23/0.47 tff(194,plain,
% 0.23/0.47 (((~![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)))),
% 0.23/0.47 inference(rewrite,[status(thm)],[])).
% 0.23/0.47 tff(195,plain,
% 0.23/0.47 ((~![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))) | ((~smaller(age(sk2, sk3), age(sk2, sk4))) | greater(age(sk2, sk4), age(sk2, sk3)))),
% 0.23/0.47 inference(quant_inst,[status(thm)],[])).
% 0.23/0.47 tff(196,plain,
% 0.23/0.47 ((~![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))) | (~smaller(age(sk2, sk3), age(sk2, sk4))) | greater(age(sk2, sk4), age(sk2, sk3))),
% 0.23/0.47 inference(modus_ponens,[status(thm)],[195, 194])).
% 0.23/0.47 tff(197,plain,
% 0.23/0.47 (~smaller(age(sk2, sk3), age(sk2, sk4))),
% 0.23/0.47 inference(unit_resolution,[status(thm)],[196, 155, 193])).
% 0.23/0.47 tff(198,plain,
% 0.23/0.47 (smaller_or_equal(age(sk2, sk3), age(sk2, sk4)) <=> smaller_or_equal(age(sk2, sk3), age(sk2, sk4))),
% 0.23/0.47 inference(rewrite,[status(thm)],[])).
% 0.23/0.47 tff(199,axiom,(smaller_or_equal(age(sk2, sk3), age(sk2, sk4))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','theorem_2_63')).
% 0.23/0.47 tff(200,plain,
% 0.23/0.47 (smaller_or_equal(age(sk2, sk3), age(sk2, sk4))),
% 0.23/0.47 inference(modus_ponens,[status(thm)],[199, 198])).
% 0.23/0.47 tff(201,plain,
% 0.23/0.47 (^[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))))),
% 0.23/0.47 inference(bind,[status(th)],[])).
% 0.23/0.47 tff(202,plain,
% 0.23/0.47 (![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)))),
% 0.23/0.47 inference(quant_intro,[status(thm)],[201])).
% 0.23/0.47 tff(203,plain,
% 0.23/0.47 (![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)))),
% 0.23/0.47 inference(rewrite,[status(thm)],[])).
% 0.23/0.47 tff(204,plain,
% 0.23/0.47 (^[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))))),
% 0.23/0.47 inference(bind,[status(th)],[])).
% 0.23/0.47 tff(205,plain,
% 0.23/0.47 (![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)))),
% 0.23/0.47 inference(quant_intro,[status(thm)],[204])).
% 0.23/0.47 tff(206,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')).
% 0.23/0.47 tff(207,plain,
% 0.23/0.47 (![B: $i, A: $i] : ((A = B) | smaller(A, B) | (~smaller_or_equal(A, B)))),
% 0.23/0.47 inference(modus_ponens,[status(thm)],[206, 205])).
% 0.23/0.47 tff(208,plain,
% 0.23/0.47 (![B: $i, A: $i] : ((A = B) | smaller(A, B) | (~smaller_or_equal(A, B)))),
% 0.23/0.47 inference(modus_ponens,[status(thm)],[207, 203])).
% 0.23/0.47 tff(209,plain,(
% 0.23/0.47 ![B: $i, A: $i] : ((A = B) | smaller(A, B) | (~smaller_or_equal(A, B)))),
% 0.23/0.47 inference(skolemize,[status(sab)],[208])).
% 0.23/0.47 tff(210,plain,
% 0.23/0.47 (![B: $i, A: $i] : ((A = B) | smaller(A, B) | (~smaller_or_equal(A, B)))),
% 0.23/0.47 inference(modus_ponens,[status(thm)],[209, 202])).
% 0.23/0.47 tff(211,plain,
% 0.23/0.47 (((~![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))))),
% 0.23/0.47 inference(rewrite,[status(thm)],[])).
% 0.23/0.47 tff(212,plain,
% 0.23/0.47 ((~![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))))),
% 0.23/0.47 inference(quant_inst,[status(thm)],[])).
% 0.23/0.47 tff(213,plain,
% 0.23/0.47 ((~![B: $i, A: $i] : ((A = B) | smaller(A, B) | (~smaller_or_equal(A, B)))) | (age(sk2, sk3) = age(sk2, sk4)) | smaller(age(sk2, sk3), age(sk2, sk4)) | (~smaller_or_equal(age(sk2, sk3), age(sk2, sk4)))),
% 0.23/0.47 inference(modus_ponens,[status(thm)],[212, 211])).
% 0.23/0.47 tff(214,plain,
% 0.23/0.47 ((age(sk2, sk3) = age(sk2, sk4)) | smaller(age(sk2, sk3), age(sk2, sk4))),
% 0.23/0.47 inference(unit_resolution,[status(thm)],[213, 210, 200])).
% 0.23/0.47 tff(215,plain,
% 0.23/0.47 (age(sk2, sk3) = age(sk2, sk4)),
% 0.23/0.47 inference(unit_resolution,[status(thm)],[214, 197])).
% 0.23/0.47 tff(216,plain,
% 0.23/0.47 (smaller_or_equal(age(sk2, sk3), eta) <=> smaller_or_equal(age(sk2, sk4), eta)),
% 0.23/0.47 inference(monotonicity,[status(thm)],[215])).
% 0.23/0.47 tff(217,plain,
% 0.23/0.47 (smaller_or_equal(age(sk2, sk4), eta) <=> smaller_or_equal(age(sk2, sk3), eta)),
% 0.23/0.47 inference(symmetry,[status(thm)],[216])).
% 0.23/0.47 tff(218,plain,
% 0.23/0.47 (smaller_or_equal(age(sk2, sk3), eta)),
% 0.23/0.47 inference(modus_ponens,[status(thm)],[76, 217])).
% 0.23/0.47 tff(219,plain,
% 0.23/0.47 ($false),
% 0.23/0.47 inference(unit_resolution,[status(thm)],[97, 218])).
% 0.23/0.47 tff(220,plain,(smaller_or_equal(age(sk2, sk3), eta)), inference(lemma,lemma(discharge,[]))).
% 0.23/0.47 tff(221,plain,
% 0.23/0.47 (((~![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)))),
% 0.23/0.47 inference(rewrite,[status(thm)],[])).
% 0.23/0.47 tff(222,plain,
% 0.23/0.47 ((~![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)))),
% 0.23/0.47 inference(quant_inst,[status(thm)],[])).
% 0.23/0.47 tff(223,plain,
% 0.23/0.47 ((~![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))),
% 0.23/0.47 inference(modus_ponens,[status(thm)],[222, 221])).
% 0.23/0.47 tff(224,plain,
% 0.23/0.47 (has_immunity(sk2, sk3) | (~smaller_or_equal(age(sk2, sk3), eta))),
% 0.23/0.47 inference(unit_resolution,[status(thm)],[223, 89, 79])).
% 0.23/0.47 tff(225,plain,
% 0.23/0.47 (has_immunity(sk2, sk3)),
% 0.23/0.47 inference(unit_resolution,[status(thm)],[224, 220])).
% 0.23/0.47 tff(226,assumption,(~(hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3))), introduced(assumption)).
% 0.23/0.47 tff(227,plain,
% 0.23/0.47 (^[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))))),
% 0.23/0.47 inference(bind,[status(th)],[])).
% 0.23/0.47 tff(228,plain,
% 0.23/0.47 (![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)))),
% 0.23/0.47 inference(quant_intro,[status(thm)],[227])).
% 0.23/0.47 tff(229,plain,
% 0.23/0.47 (![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)))),
% 0.23/0.47 inference(rewrite,[status(thm)],[])).
% 0.23/0.47 tff(230,plain,
% 0.23/0.47 (^[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)))))),
% 0.23/0.47 inference(bind,[status(th)],[])).
% 0.23/0.47 tff(231,plain,
% 0.23/0.47 (![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)))),
% 0.23/0.47 inference(quant_intro,[status(thm)],[230])).
% 0.23/0.47 tff(232,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')).
% 0.23/0.47 tff(233,plain,
% 0.23/0.47 (![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)))),
% 0.23/0.47 inference(modus_ponens,[status(thm)],[232, 231])).
% 0.23/0.47 tff(234,plain,
% 0.23/0.47 (![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)))),
% 0.23/0.47 inference(modus_ponens,[status(thm)],[233, 229])).
% 0.23/0.47 tff(235,plain,(
% 0.23/0.47 ![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)))),
% 0.23/0.47 inference(skolemize,[status(sab)],[234])).
% 0.23/0.47 tff(236,plain,
% 0.23/0.47 (![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)))),
% 0.23/0.47 inference(modus_ponens,[status(thm)],[235, 228])).
% 0.23/0.47 tff(237,plain,
% 0.23/0.47 (((~![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)))),
% 0.23/0.47 inference(rewrite,[status(thm)],[])).
% 0.23/0.47 tff(238,plain,
% 0.23/0.47 ((~![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)))),
% 0.23/0.47 inference(quant_inst,[status(thm)],[])).
% 0.23/0.47 tff(239,plain,
% 0.23/0.47 ((~![B: $i, A: $i, C: $i] : ((hazard_of_mortality(A, B) = hazard_of_mortality(A, C)) | (~has_immunity(A, C)) | (~has_immunity(A, B)) | (~organization(A)))) | (hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3)) | (~has_immunity(sk2, sk3)) | (~has_immunity(sk2, sk4)) | (~organization(sk2))),
% 0.23/0.47 inference(modus_ponens,[status(thm)],[238, 237])).
% 0.23/0.47 tff(240,plain,
% 0.23/0.47 ($false),
% 0.23/0.47 inference(unit_resolution,[status(thm)],[239, 236, 3, 226, 225, 96])).
% 0.23/0.47 tff(241,plain,(hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3)), inference(lemma,lemma(discharge,[]))).
% 0.23/0.47 tff(242,plain,
% 0.23/0.47 (greater(age(sk2, sk5), eta) <=> greater(age(sk2, sk5), eta)),
% 0.23/0.47 inference(rewrite,[status(thm)],[])).
% 0.23/0.47 tff(243,axiom,(greater(age(sk2, sk5), eta)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','theorem_2_65')).
% 0.23/0.47 tff(244,plain,
% 0.23/0.47 (greater(age(sk2, sk5), eta)),
% 0.23/0.47 inference(modus_ponens,[status(thm)],[243, 242])).
% 0.23/0.47 tff(245,plain,
% 0.23/0.47 (((~![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))))),
% 0.23/0.47 inference(rewrite,[status(thm)],[])).
% 0.23/0.47 tff(246,plain,
% 0.23/0.47 ((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))))),
% 0.23/0.47 inference(rewrite,[status(thm)],[])).
% 0.23/0.47 tff(247,plain,
% 0.23/0.47 (((~![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)))))),
% 0.23/0.47 inference(monotonicity,[status(thm)],[246])).
% 0.23/0.47 tff(248,plain,
% 0.23/0.47 (((~![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))))),
% 0.23/0.47 inference(transitivity,[status(thm)],[247, 245])).
% 0.23/0.47 tff(249,plain,
% 0.23/0.47 ((~![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))))),
% 0.23/0.47 inference(quant_inst,[status(thm)],[])).
% 0.23/0.47 tff(250,plain,
% 0.23/0.47 ((~![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)))),
% 0.23/0.47 inference(modus_ponens,[status(thm)],[249, 248])).
% 0.23/0.47 tff(251,plain,
% 0.23/0.47 (greater(age(sk2, sk6), eta)),
% 0.23/0.47 inference(unit_resolution,[status(thm)],[250, 184, 244, 38])).
% 0.23/0.47 tff(252,plain,
% 0.23/0.47 (((~![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)))),
% 0.23/0.47 inference(rewrite,[status(thm)],[])).
% 0.23/0.47 tff(253,plain,
% 0.23/0.47 ((~![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)))),
% 0.23/0.47 inference(quant_inst,[status(thm)],[])).
% 0.23/0.47 tff(254,plain,
% 0.23/0.47 ((~![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))),
% 0.23/0.47 inference(modus_ponens,[status(thm)],[253, 252])).
% 0.23/0.47 tff(255,plain,
% 0.23/0.47 (~has_immunity(sk2, sk6)),
% 0.23/0.47 inference(unit_resolution,[status(thm)],[254, 170, 79, 251])).
% 0.23/0.47 tff(256,assumption,(~greater(hazard_of_mortality(sk2, sk6), hazard_of_mortality(sk2, sk4))), introduced(assumption)).
% 0.23/0.47 tff(257,plain,
% 0.23/0.47 (^[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))))),
% 0.23/0.47 inference(bind,[status(th)],[])).
% 0.23/0.47 tff(258,plain,
% 0.23/0.47 (![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)))),
% 0.23/0.47 inference(quant_intro,[status(thm)],[257])).
% 0.23/0.47 tff(259,plain,
% 0.23/0.47 (![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)))),
% 0.23/0.47 inference(rewrite,[status(thm)],[])).
% 0.23/0.47 tff(260,plain,
% 0.23/0.47 (^[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)))))),
% 0.23/0.47 inference(bind,[status(th)],[])).
% 0.23/0.47 tff(261,plain,
% 0.23/0.47 (![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)))),
% 0.23/0.48 inference(quant_intro,[status(thm)],[260])).
% 0.23/0.48 tff(262,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')).
% 0.23/0.48 tff(263,plain,
% 0.23/0.48 (![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)))),
% 0.23/0.48 inference(modus_ponens,[status(thm)],[262, 261])).
% 0.23/0.48 tff(264,plain,
% 0.23/0.48 (![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)))),
% 0.23/0.48 inference(modus_ponens,[status(thm)],[263, 259])).
% 0.23/0.48 tff(265,plain,(
% 0.23/0.48 ![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)))),
% 0.23/0.48 inference(skolemize,[status(sab)],[264])).
% 0.23/0.48 tff(266,plain,
% 0.23/0.48 (![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)))),
% 0.23/0.48 inference(modus_ponens,[status(thm)],[265, 258])).
% 0.23/0.48 tff(267,plain,
% 0.23/0.48 (((~![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, sk6), hazard_of_mortality(sk2, sk4)) | (~has_immunity(sk2, sk4)) | has_immunity(sk2, sk6) | (~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, sk6), hazard_of_mortality(sk2, sk4)) | (~has_immunity(sk2, sk4)) | has_immunity(sk2, sk6) | (~organization(sk2)))),
% 0.23/0.48 inference(rewrite,[status(thm)],[])).
% 0.23/0.48 tff(268,plain,
% 0.23/0.48 ((greater(hazard_of_mortality(sk2, sk6), hazard_of_mortality(sk2, sk4)) | has_immunity(sk2, sk6) | (~has_immunity(sk2, sk4)) | (~organization(sk2))) <=> (greater(hazard_of_mortality(sk2, sk6), hazard_of_mortality(sk2, sk4)) | (~has_immunity(sk2, sk4)) | has_immunity(sk2, sk6) | (~organization(sk2)))),
% 0.23/0.48 inference(rewrite,[status(thm)],[])).
% 0.23/0.48 tff(269,plain,
% 0.23/0.48 (((~![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, sk6), hazard_of_mortality(sk2, sk4)) | has_immunity(sk2, sk6) | (~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, sk6), hazard_of_mortality(sk2, sk4)) | (~has_immunity(sk2, sk4)) | has_immunity(sk2, sk6) | (~organization(sk2))))),
% 0.23/0.48 inference(monotonicity,[status(thm)],[268])).
% 0.23/0.48 tff(270,plain,
% 0.23/0.48 (((~![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, sk6), hazard_of_mortality(sk2, sk4)) | has_immunity(sk2, sk6) | (~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, sk6), hazard_of_mortality(sk2, sk4)) | (~has_immunity(sk2, sk4)) | has_immunity(sk2, sk6) | (~organization(sk2)))),
% 0.23/0.48 inference(transitivity,[status(thm)],[269, 267])).
% 0.23/0.48 tff(271,plain,
% 0.23/0.48 ((~![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, sk6), hazard_of_mortality(sk2, sk4)) | has_immunity(sk2, sk6) | (~has_immunity(sk2, sk4)) | (~organization(sk2)))),
% 0.23/0.48 inference(quant_inst,[status(thm)],[])).
% 0.23/0.48 tff(272,plain,
% 0.23/0.48 ((~![B: $i, A: $i, C: $i] : (greater(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | has_immunity(A, C) | (~has_immunity(A, B)) | (~organization(A)))) | greater(hazard_of_mortality(sk2, sk6), hazard_of_mortality(sk2, sk4)) | (~has_immunity(sk2, sk4)) | has_immunity(sk2, sk6) | (~organization(sk2))),
% 0.23/0.48 inference(modus_ponens,[status(thm)],[271, 270])).
% 0.23/0.48 tff(273,plain,
% 0.23/0.48 ($false),
% 0.23/0.48 inference(unit_resolution,[status(thm)],[272, 266, 3, 256, 96, 255])).
% 0.23/0.48 tff(274,plain,(greater(hazard_of_mortality(sk2, sk6), hazard_of_mortality(sk2, sk4))), inference(lemma,lemma(discharge,[]))).
% 0.23/0.48 tff(275,plain,
% 0.23/0.48 (((~greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk6))) | (~greater(hazard_of_mortality(sk2, sk6), hazard_of_mortality(sk2, sk4))) | (~(hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3)))) <=> ((~greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk6))) | (~greater(hazard_of_mortality(sk2, sk6), hazard_of_mortality(sk2, sk4))) | (~(hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3))))),
% 0.23/0.48 inference(rewrite,[status(thm)],[])).
% 0.23/0.48 tff(276,plain,
% 0.23/0.48 ((((~greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk6))) | (~greater(hazard_of_mortality(sk2, sk6), hazard_of_mortality(sk2, sk4)))) | (~(hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3)))) <=> ((~greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk6))) | (~greater(hazard_of_mortality(sk2, sk6), hazard_of_mortality(sk2, sk4))) | (~(hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3))))),
% 0.23/0.48 inference(rewrite,[status(thm)],[])).
% 0.23/0.48 tff(277,axiom,(((~greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk6))) | (~greater(hazard_of_mortality(sk2, sk6), hazard_of_mortality(sk2, sk4)))) | (~(hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','theorem_2_67')).
% 0.23/0.48 tff(278,plain,
% 0.23/0.48 ((~greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk6))) | (~greater(hazard_of_mortality(sk2, sk6), hazard_of_mortality(sk2, sk4))) | (~(hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3)))),
% 0.23/0.48 inference(modus_ponens,[status(thm)],[277, 276])).
% 0.23/0.48 tff(279,plain,
% 0.23/0.48 ((~greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk6))) | (~greater(hazard_of_mortality(sk2, sk6), hazard_of_mortality(sk2, sk4))) | (~(hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3)))),
% 0.23/0.48 inference(modus_ponens,[status(thm)],[278, 275])).
% 0.23/0.48 tff(280,plain,
% 0.23/0.48 ((~greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk6))) | (~greater(hazard_of_mortality(sk2, sk6), hazard_of_mortality(sk2, sk4))) | (~(hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3)))),
% 0.23/0.48 inference(modus_ponens,[status(thm)],[279, 275])).
% 0.23/0.48 tff(281,plain,
% 0.23/0.48 ((~greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk6))) | (~greater(hazard_of_mortality(sk2, sk6), hazard_of_mortality(sk2, sk4))) | (~(hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3)))),
% 0.23/0.48 inference(modus_ponens,[status(thm)],[280, 275])).
% 0.23/0.48 tff(282,plain,
% 0.23/0.48 ((~greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk6))) | (~greater(hazard_of_mortality(sk2, sk6), hazard_of_mortality(sk2, sk4))) | (~(hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3)))),
% 0.23/0.48 inference(modus_ponens,[status(thm)],[281, 275])).
% 0.23/0.48 tff(283,plain,
% 0.23/0.48 (~greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk6))),
% 0.23/0.48 inference(unit_resolution,[status(thm)],[282, 274, 241])).
% 0.23/0.48 tff(284,plain,
% 0.23/0.48 (((~![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))) | ((~smaller(hazard_of_mortality(sk2, sk6), hazard_of_mortality(sk2, sk5))) | greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk6)))) <=> ((~![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))) | (~smaller(hazard_of_mortality(sk2, sk6), hazard_of_mortality(sk2, sk5))) | greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk6)))),
% 0.23/0.48 inference(rewrite,[status(thm)],[])).
% 0.23/0.48 tff(285,plain,
% 0.23/0.48 ((~![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))) | ((~smaller(hazard_of_mortality(sk2, sk6), hazard_of_mortality(sk2, sk5))) | greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk6)))),
% 0.23/0.48 inference(quant_inst,[status(thm)],[])).
% 0.23/0.48 tff(286,plain,
% 0.23/0.48 ((~![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))) | (~smaller(hazard_of_mortality(sk2, sk6), hazard_of_mortality(sk2, sk5))) | greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk6))),
% 0.23/0.48 inference(modus_ponens,[status(thm)],[285, 284])).
% 0.23/0.48 tff(287,plain,
% 0.23/0.48 (~smaller(hazard_of_mortality(sk2, sk6), hazard_of_mortality(sk2, sk5))),
% 0.23/0.48 inference(unit_resolution,[status(thm)],[286, 155, 283])).
% 0.23/0.48 tff(288,plain,
% 0.23/0.48 (((~![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)))),
% 0.23/0.48 inference(rewrite,[status(thm)],[])).
% 0.23/0.48 tff(289,plain,
% 0.23/0.48 ((~![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)))),
% 0.23/0.48 inference(quant_inst,[status(thm)],[])).
% 0.23/0.48 tff(290,plain,
% 0.23/0.48 ((~![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))),
% 0.23/0.48 inference(modus_ponens,[status(thm)],[289, 288])).
% 0.23/0.48 tff(291,plain,
% 0.23/0.48 (~has_immunity(sk2, sk5)),
% 0.23/0.48 inference(unit_resolution,[status(thm)],[290, 170, 79, 244])).
% 0.23/0.48 tff(292,plain,
% 0.23/0.48 (^[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)))))),
% 0.23/0.48 inference(bind,[status(th)],[])).
% 0.23/0.48 tff(293,plain,
% 0.23/0.48 (![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)))) <=> ![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))))),
% 0.23/0.48 inference(quant_intro,[status(thm)],[292])).
% 0.23/0.48 tff(294,plain,
% 0.23/0.48 (![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)))) <=> ![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))))),
% 0.23/0.48 inference(rewrite,[status(thm)],[])).
% 0.23/0.48 tff(295,plain,
% 0.23/0.48 (^[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))))))),
% 0.23/0.48 inference(bind,[status(th)],[])).
% 0.23/0.48 tff(296,plain,
% 0.23/0.48 (![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))))),
% 0.23/0.48 inference(quant_intro,[status(thm)],[295])).
% 0.23/0.48 tff(297,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')).
% 0.23/0.48 tff(298,plain,
% 0.23/0.48 (![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))))),
% 0.23/0.48 inference(modus_ponens,[status(thm)],[297, 296])).
% 0.23/0.48 tff(299,plain,
% 0.23/0.48 (![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))))),
% 0.23/0.48 inference(modus_ponens,[status(thm)],[298, 294])).
% 0.23/0.48 tff(300,plain,(
% 0.23/0.48 ![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))))),
% 0.23/0.48 inference(skolemize,[status(sab)],[299])).
% 0.23/0.48 tff(301,plain,
% 0.23/0.48 (![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))))),
% 0.23/0.48 inference(modus_ponens,[status(thm)],[300, 293])).
% 0.23/0.48 tff(302,plain,
% 0.23/0.48 (((~![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, sk6), hazard_of_mortality(sk2, sk5)) | (~greater_or_equal(position(sk2, sk6), position(sk2, sk5))) | (~greater(capability(sk2, sk6), capability(sk2, sk5))))) <=> ((~![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, sk6), hazard_of_mortality(sk2, sk5)) | (~greater_or_equal(position(sk2, sk6), position(sk2, sk5))) | (~greater(capability(sk2, sk6), capability(sk2, sk5))))),
% 0.23/0.48 inference(rewrite,[status(thm)],[])).
% 0.23/0.48 tff(303,plain,
% 0.23/0.48 ((has_immunity(sk2, sk6) | has_immunity(sk2, sk5) | (~organization(sk2)) | smaller(hazard_of_mortality(sk2, sk6), hazard_of_mortality(sk2, sk5)) | (~greater_or_equal(position(sk2, sk6), position(sk2, sk5))) | (~greater(capability(sk2, sk6), capability(sk2, sk5)))) <=> (has_immunity(sk2, sk5) | has_immunity(sk2, sk6) | (~organization(sk2)) | smaller(hazard_of_mortality(sk2, sk6), hazard_of_mortality(sk2, sk5)) | (~greater_or_equal(position(sk2, sk6), position(sk2, sk5))) | (~greater(capability(sk2, sk6), capability(sk2, sk5))))),
% 0.23/0.48 inference(rewrite,[status(thm)],[])).
% 0.23/0.48 tff(304,plain,
% 0.23/0.48 (((~![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, sk6) | has_immunity(sk2, sk5) | (~organization(sk2)) | smaller(hazard_of_mortality(sk2, sk6), hazard_of_mortality(sk2, sk5)) | (~greater_or_equal(position(sk2, sk6), position(sk2, sk5))) | (~greater(capability(sk2, sk6), capability(sk2, sk5))))) <=> ((~![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, sk6), hazard_of_mortality(sk2, sk5)) | (~greater_or_equal(position(sk2, sk6), position(sk2, sk5))) | (~greater(capability(sk2, sk6), capability(sk2, sk5)))))),
% 0.23/0.48 inference(monotonicity,[status(thm)],[303])).
% 0.23/0.48 tff(305,plain,
% 0.23/0.48 (((~![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, sk6) | has_immunity(sk2, sk5) | (~organization(sk2)) | smaller(hazard_of_mortality(sk2, sk6), hazard_of_mortality(sk2, sk5)) | (~greater_or_equal(position(sk2, sk6), position(sk2, sk5))) | (~greater(capability(sk2, sk6), capability(sk2, sk5))))) <=> ((~![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, sk6), hazard_of_mortality(sk2, sk5)) | (~greater_or_equal(position(sk2, sk6), position(sk2, sk5))) | (~greater(capability(sk2, sk6), capability(sk2, sk5))))),
% 0.23/0.49 inference(transitivity,[status(thm)],[304, 302])).
% 0.23/0.49 tff(306,plain,
% 0.23/0.49 ((~![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, sk6) | has_immunity(sk2, sk5) | (~organization(sk2)) | smaller(hazard_of_mortality(sk2, sk6), hazard_of_mortality(sk2, sk5)) | (~greater_or_equal(position(sk2, sk6), position(sk2, sk5))) | (~greater(capability(sk2, sk6), capability(sk2, sk5))))),
% 0.23/0.49 inference(quant_inst,[status(thm)],[])).
% 0.23/0.49 tff(307,plain,
% 0.23/0.49 ((~![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, sk6), hazard_of_mortality(sk2, sk5)) | (~greater_or_equal(position(sk2, sk6), position(sk2, sk5))) | (~greater(capability(sk2, sk6), capability(sk2, sk5)))),
% 0.23/0.49 inference(modus_ponens,[status(thm)],[306, 305])).
% 0.23/0.49 tff(308,plain,
% 0.23/0.49 ((~greater_or_equal(position(sk2, sk6), position(sk2, sk5))) | (~greater(capability(sk2, sk6), capability(sk2, sk5)))),
% 0.23/0.49 inference(unit_resolution,[status(thm)],[307, 301, 3, 291, 255, 287])).
% 0.23/0.49 tff(309,plain,
% 0.23/0.49 (~greater_or_equal(position(sk2, sk6), position(sk2, sk5))),
% 0.23/0.49 inference(unit_resolution,[status(thm)],[308, 73])).
% 0.23/0.49 tff(310,plain,
% 0.23/0.49 (^[B: $i, A: $i] : refl(((~greater(A, B)) | greater_or_equal(A, B)) <=> ((~greater(A, B)) | greater_or_equal(A, B)))),
% 0.23/0.49 inference(bind,[status(th)],[])).
% 0.23/0.49 tff(311,plain,
% 0.23/0.49 (![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B)) <=> ![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))),
% 0.23/0.49 inference(quant_intro,[status(thm)],[310])).
% 0.23/0.49 tff(312,plain,
% 0.23/0.49 (![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B)) <=> ![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))),
% 0.23/0.49 inference(rewrite,[status(thm)],[])).
% 0.23/0.49 tff(313,axiom,(![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))), file('/export/starexec/sandbox/benchmark/Axioms/MGT001-0.ax','definition_greater_or_equal_5')).
% 0.23/0.49 tff(314,plain,
% 0.23/0.49 (![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))),
% 0.23/0.49 inference(modus_ponens,[status(thm)],[313, 312])).
% 0.23/0.49 tff(315,plain,(
% 0.23/0.49 ![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))),
% 0.23/0.49 inference(skolemize,[status(sab)],[314])).
% 0.23/0.49 tff(316,plain,
% 0.23/0.49 (![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))),
% 0.23/0.49 inference(modus_ponens,[status(thm)],[315, 311])).
% 0.23/0.49 tff(317,plain,
% 0.23/0.49 (((~![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))) | ((~greater(position(sk2, sk6), position(sk2, sk5))) | greater_or_equal(position(sk2, sk6), position(sk2, sk5)))) <=> ((~![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))) | (~greater(position(sk2, sk6), position(sk2, sk5))) | greater_or_equal(position(sk2, sk6), position(sk2, sk5)))),
% 0.23/0.49 inference(rewrite,[status(thm)],[])).
% 0.23/0.49 tff(318,plain,
% 0.23/0.49 ((~![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))) | ((~greater(position(sk2, sk6), position(sk2, sk5))) | greater_or_equal(position(sk2, sk6), position(sk2, sk5)))),
% 0.23/0.49 inference(quant_inst,[status(thm)],[])).
% 0.23/0.49 tff(319,plain,
% 0.23/0.49 ((~![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))) | (~greater(position(sk2, sk6), position(sk2, sk5))) | greater_or_equal(position(sk2, sk6), position(sk2, sk5))),
% 0.23/0.49 inference(modus_ponens,[status(thm)],[318, 317])).
% 0.23/0.49 tff(320,plain,
% 0.23/0.49 (~greater(position(sk2, sk6), position(sk2, sk5))),
% 0.23/0.49 inference(unit_resolution,[status(thm)],[319, 316, 309])).
% 0.23/0.49 tff(321,plain,
% 0.23/0.49 (^[B: $i, A: $i, C: $i] : refl((greater(position(A, B), position(A, C)) | (~organization(A)) | (~greater(external_ties(A, B), external_ties(A, C)))) <=> (greater(position(A, B), position(A, C)) | (~organization(A)) | (~greater(external_ties(A, B), external_ties(A, C)))))),
% 0.23/0.49 inference(bind,[status(th)],[])).
% 0.23/0.49 tff(322,plain,
% 0.23/0.49 (![B: $i, A: $i, C: $i] : (greater(position(A, B), position(A, C)) | (~organization(A)) | (~greater(external_ties(A, B), external_ties(A, C)))) <=> ![B: $i, A: $i, C: $i] : (greater(position(A, B), position(A, C)) | (~organization(A)) | (~greater(external_ties(A, B), external_ties(A, C))))),
% 0.23/0.49 inference(quant_intro,[status(thm)],[321])).
% 0.23/0.49 tff(323,plain,
% 0.23/0.49 (![B: $i, A: $i, C: $i] : (greater(position(A, B), position(A, C)) | (~organization(A)) | (~greater(external_ties(A, B), external_ties(A, C)))) <=> ![B: $i, A: $i, C: $i] : (greater(position(A, B), position(A, C)) | (~organization(A)) | (~greater(external_ties(A, B), external_ties(A, C))))),
% 0.23/0.49 inference(rewrite,[status(thm)],[])).
% 0.23/0.49 tff(324,plain,
% 0.23/0.49 (^[B: $i, A: $i, C: $i] : rewrite((((~organization(A)) | (~greater(external_ties(A, B), external_ties(A, C)))) | greater(position(A, B), position(A, C))) <=> (greater(position(A, B), position(A, C)) | (~organization(A)) | (~greater(external_ties(A, B), external_ties(A, C)))))),
% 0.23/0.49 inference(bind,[status(th)],[])).
% 0.23/0.49 tff(325,plain,
% 0.23/0.49 (![B: $i, A: $i, C: $i] : (((~organization(A)) | (~greater(external_ties(A, B), external_ties(A, C)))) | greater(position(A, B), position(A, C))) <=> ![B: $i, A: $i, C: $i] : (greater(position(A, B), position(A, C)) | (~organization(A)) | (~greater(external_ties(A, B), external_ties(A, C))))),
% 0.23/0.49 inference(quant_intro,[status(thm)],[324])).
% 0.23/0.49 tff(326,axiom,(![B: $i, A: $i, C: $i] : (((~organization(A)) | (~greater(external_ties(A, B), external_ties(A, C)))) | greater(position(A, B), position(A, C)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','assumption_6_56')).
% 0.23/0.49 tff(327,plain,
% 0.23/0.49 (![B: $i, A: $i, C: $i] : (greater(position(A, B), position(A, C)) | (~organization(A)) | (~greater(external_ties(A, B), external_ties(A, C))))),
% 0.23/0.49 inference(modus_ponens,[status(thm)],[326, 325])).
% 0.23/0.49 tff(328,plain,
% 0.23/0.49 (![B: $i, A: $i, C: $i] : (greater(position(A, B), position(A, C)) | (~organization(A)) | (~greater(external_ties(A, B), external_ties(A, C))))),
% 0.23/0.49 inference(modus_ponens,[status(thm)],[327, 323])).
% 0.23/0.49 tff(329,plain,(
% 0.23/0.49 ![B: $i, A: $i, C: $i] : (greater(position(A, B), position(A, C)) | (~organization(A)) | (~greater(external_ties(A, B), external_ties(A, C))))),
% 0.23/0.49 inference(skolemize,[status(sab)],[328])).
% 0.23/0.49 tff(330,plain,
% 0.23/0.49 (![B: $i, A: $i, C: $i] : (greater(position(A, B), position(A, C)) | (~organization(A)) | (~greater(external_ties(A, B), external_ties(A, C))))),
% 0.23/0.49 inference(modus_ponens,[status(thm)],[329, 322])).
% 0.23/0.49 tff(331,plain,
% 0.23/0.49 (((~![B: $i, A: $i, C: $i] : (greater(position(A, B), position(A, C)) | (~organization(A)) | (~greater(external_ties(A, B), external_ties(A, C))))) | ((~organization(sk2)) | greater(position(sk2, sk6), position(sk2, sk5)) | (~greater(external_ties(sk2, sk6), external_ties(sk2, sk5))))) <=> ((~![B: $i, A: $i, C: $i] : (greater(position(A, B), position(A, C)) | (~organization(A)) | (~greater(external_ties(A, B), external_ties(A, C))))) | (~organization(sk2)) | greater(position(sk2, sk6), position(sk2, sk5)) | (~greater(external_ties(sk2, sk6), external_ties(sk2, sk5))))),
% 0.23/0.49 inference(rewrite,[status(thm)],[])).
% 0.23/0.49 tff(332,plain,
% 0.23/0.49 ((greater(position(sk2, sk6), position(sk2, sk5)) | (~organization(sk2)) | (~greater(external_ties(sk2, sk6), external_ties(sk2, sk5)))) <=> ((~organization(sk2)) | greater(position(sk2, sk6), position(sk2, sk5)) | (~greater(external_ties(sk2, sk6), external_ties(sk2, sk5))))),
% 0.23/0.49 inference(rewrite,[status(thm)],[])).
% 0.23/0.49 tff(333,plain,
% 0.23/0.49 (((~![B: $i, A: $i, C: $i] : (greater(position(A, B), position(A, C)) | (~organization(A)) | (~greater(external_ties(A, B), external_ties(A, C))))) | (greater(position(sk2, sk6), position(sk2, sk5)) | (~organization(sk2)) | (~greater(external_ties(sk2, sk6), external_ties(sk2, sk5))))) <=> ((~![B: $i, A: $i, C: $i] : (greater(position(A, B), position(A, C)) | (~organization(A)) | (~greater(external_ties(A, B), external_ties(A, C))))) | ((~organization(sk2)) | greater(position(sk2, sk6), position(sk2, sk5)) | (~greater(external_ties(sk2, sk6), external_ties(sk2, sk5)))))),
% 0.23/0.49 inference(monotonicity,[status(thm)],[332])).
% 0.23/0.49 tff(334,plain,
% 0.23/0.49 (((~![B: $i, A: $i, C: $i] : (greater(position(A, B), position(A, C)) | (~organization(A)) | (~greater(external_ties(A, B), external_ties(A, C))))) | (greater(position(sk2, sk6), position(sk2, sk5)) | (~organization(sk2)) | (~greater(external_ties(sk2, sk6), external_ties(sk2, sk5))))) <=> ((~![B: $i, A: $i, C: $i] : (greater(position(A, B), position(A, C)) | (~organization(A)) | (~greater(external_ties(A, B), external_ties(A, C))))) | (~organization(sk2)) | greater(position(sk2, sk6), position(sk2, sk5)) | (~greater(external_ties(sk2, sk6), external_ties(sk2, sk5))))),
% 0.23/0.49 inference(transitivity,[status(thm)],[333, 331])).
% 0.23/0.49 tff(335,plain,
% 0.23/0.49 ((~![B: $i, A: $i, C: $i] : (greater(position(A, B), position(A, C)) | (~organization(A)) | (~greater(external_ties(A, B), external_ties(A, C))))) | (greater(position(sk2, sk6), position(sk2, sk5)) | (~organization(sk2)) | (~greater(external_ties(sk2, sk6), external_ties(sk2, sk5))))),
% 0.23/0.49 inference(quant_inst,[status(thm)],[])).
% 0.23/0.49 tff(336,plain,
% 0.23/0.49 ((~![B: $i, A: $i, C: $i] : (greater(position(A, B), position(A, C)) | (~organization(A)) | (~greater(external_ties(A, B), external_ties(A, C))))) | (~organization(sk2)) | greater(position(sk2, sk6), position(sk2, sk5)) | (~greater(external_ties(sk2, sk6), external_ties(sk2, sk5)))),
% 0.23/0.49 inference(modus_ponens,[status(thm)],[335, 334])).
% 0.23/0.49 tff(337,plain,
% 0.23/0.49 (~greater(external_ties(sk2, sk6), external_ties(sk2, sk5))),
% 0.23/0.49 inference(unit_resolution,[status(thm)],[336, 330, 3, 320])).
% 0.23/0.49 tff(338,plain,
% 0.23/0.49 (^[B: $i, A: $i, C: $i] : refl(((~organization(A)) | greater(external_ties(A, B), external_ties(A, C)) | (~greater(age(A, B), age(A, C)))) <=> ((~organization(A)) | greater(external_ties(A, B), external_ties(A, C)) | (~greater(age(A, B), age(A, C)))))),
% 0.23/0.49 inference(bind,[status(th)],[])).
% 0.23/0.49 tff(339,plain,
% 0.23/0.49 (![B: $i, A: $i, C: $i] : ((~organization(A)) | greater(external_ties(A, B), external_ties(A, C)) | (~greater(age(A, B), age(A, C)))) <=> ![B: $i, A: $i, C: $i] : ((~organization(A)) | greater(external_ties(A, B), external_ties(A, C)) | (~greater(age(A, B), age(A, C))))),
% 0.23/0.49 inference(quant_intro,[status(thm)],[338])).
% 0.23/0.49 tff(340,plain,
% 0.23/0.49 (![B: $i, A: $i, C: $i] : ((~organization(A)) | greater(external_ties(A, B), external_ties(A, C)) | (~greater(age(A, B), age(A, C)))) <=> ![B: $i, A: $i, C: $i] : ((~organization(A)) | greater(external_ties(A, B), external_ties(A, C)) | (~greater(age(A, B), age(A, C))))),
% 0.23/0.49 inference(rewrite,[status(thm)],[])).
% 0.23/0.49 tff(341,plain,
% 0.23/0.49 (^[B: $i, A: $i, C: $i] : rewrite((((~organization(A)) | (~greater(age(A, B), age(A, C)))) | greater(external_ties(A, B), external_ties(A, C))) <=> ((~organization(A)) | greater(external_ties(A, B), external_ties(A, C)) | (~greater(age(A, B), age(A, C)))))),
% 0.23/0.49 inference(bind,[status(th)],[])).
% 0.23/0.49 tff(342,plain,
% 0.23/0.49 (![B: $i, A: $i, C: $i] : (((~organization(A)) | (~greater(age(A, B), age(A, C)))) | greater(external_ties(A, B), external_ties(A, C))) <=> ![B: $i, A: $i, C: $i] : ((~organization(A)) | greater(external_ties(A, B), external_ties(A, C)) | (~greater(age(A, B), age(A, C))))),
% 0.23/0.50 inference(quant_intro,[status(thm)],[341])).
% 0.23/0.50 tff(343,axiom,(![B: $i, A: $i, C: $i] : (((~organization(A)) | (~greater(age(A, B), age(A, C)))) | greater(external_ties(A, B), external_ties(A, C)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','assumption_8_59')).
% 0.23/0.50 tff(344,plain,
% 0.23/0.50 (![B: $i, A: $i, C: $i] : ((~organization(A)) | greater(external_ties(A, B), external_ties(A, C)) | (~greater(age(A, B), age(A, C))))),
% 0.23/0.50 inference(modus_ponens,[status(thm)],[343, 342])).
% 0.23/0.50 tff(345,plain,
% 0.23/0.50 (![B: $i, A: $i, C: $i] : ((~organization(A)) | greater(external_ties(A, B), external_ties(A, C)) | (~greater(age(A, B), age(A, C))))),
% 0.23/0.50 inference(modus_ponens,[status(thm)],[344, 340])).
% 0.23/0.50 tff(346,plain,(
% 0.23/0.50 ![B: $i, A: $i, C: $i] : ((~organization(A)) | greater(external_ties(A, B), external_ties(A, C)) | (~greater(age(A, B), age(A, C))))),
% 0.23/0.50 inference(skolemize,[status(sab)],[345])).
% 0.23/0.50 tff(347,plain,
% 0.23/0.50 (![B: $i, A: $i, C: $i] : ((~organization(A)) | greater(external_ties(A, B), external_ties(A, C)) | (~greater(age(A, B), age(A, C))))),
% 0.23/0.50 inference(modus_ponens,[status(thm)],[346, 339])).
% 0.23/0.50 tff(348,plain,
% 0.23/0.50 (((~![B: $i, A: $i, C: $i] : ((~organization(A)) | greater(external_ties(A, B), external_ties(A, C)) | (~greater(age(A, B), age(A, C))))) | ((~greater(age(sk2, sk6), age(sk2, sk5))) | (~organization(sk2)) | greater(external_ties(sk2, sk6), external_ties(sk2, sk5)))) <=> ((~![B: $i, A: $i, C: $i] : ((~organization(A)) | greater(external_ties(A, B), external_ties(A, C)) | (~greater(age(A, B), age(A, C))))) | (~greater(age(sk2, sk6), age(sk2, sk5))) | (~organization(sk2)) | greater(external_ties(sk2, sk6), external_ties(sk2, sk5)))),
% 0.23/0.50 inference(rewrite,[status(thm)],[])).
% 0.23/0.50 tff(349,plain,
% 0.23/0.50 (((~organization(sk2)) | greater(external_ties(sk2, sk6), external_ties(sk2, sk5)) | (~greater(age(sk2, sk6), age(sk2, sk5)))) <=> ((~greater(age(sk2, sk6), age(sk2, sk5))) | (~organization(sk2)) | greater(external_ties(sk2, sk6), external_ties(sk2, sk5)))),
% 0.23/0.50 inference(rewrite,[status(thm)],[])).
% 0.23/0.50 tff(350,plain,
% 0.23/0.50 (((~![B: $i, A: $i, C: $i] : ((~organization(A)) | greater(external_ties(A, B), external_ties(A, C)) | (~greater(age(A, B), age(A, C))))) | ((~organization(sk2)) | greater(external_ties(sk2, sk6), external_ties(sk2, sk5)) | (~greater(age(sk2, sk6), age(sk2, sk5))))) <=> ((~![B: $i, A: $i, C: $i] : ((~organization(A)) | greater(external_ties(A, B), external_ties(A, C)) | (~greater(age(A, B), age(A, C))))) | ((~greater(age(sk2, sk6), age(sk2, sk5))) | (~organization(sk2)) | greater(external_ties(sk2, sk6), external_ties(sk2, sk5))))),
% 0.23/0.50 inference(monotonicity,[status(thm)],[349])).
% 0.23/0.50 tff(351,plain,
% 0.23/0.50 (((~![B: $i, A: $i, C: $i] : ((~organization(A)) | greater(external_ties(A, B), external_ties(A, C)) | (~greater(age(A, B), age(A, C))))) | ((~organization(sk2)) | greater(external_ties(sk2, sk6), external_ties(sk2, sk5)) | (~greater(age(sk2, sk6), age(sk2, sk5))))) <=> ((~![B: $i, A: $i, C: $i] : ((~organization(A)) | greater(external_ties(A, B), external_ties(A, C)) | (~greater(age(A, B), age(A, C))))) | (~greater(age(sk2, sk6), age(sk2, sk5))) | (~organization(sk2)) | greater(external_ties(sk2, sk6), external_ties(sk2, sk5)))),
% 0.23/0.50 inference(transitivity,[status(thm)],[350, 348])).
% 0.23/0.50 tff(352,plain,
% 0.23/0.50 ((~![B: $i, A: $i, C: $i] : ((~organization(A)) | greater(external_ties(A, B), external_ties(A, C)) | (~greater(age(A, B), age(A, C))))) | ((~organization(sk2)) | greater(external_ties(sk2, sk6), external_ties(sk2, sk5)) | (~greater(age(sk2, sk6), age(sk2, sk5))))),
% 0.23/0.50 inference(quant_inst,[status(thm)],[])).
% 0.23/0.50 tff(353,plain,
% 0.23/0.50 ((~![B: $i, A: $i, C: $i] : ((~organization(A)) | greater(external_ties(A, B), external_ties(A, C)) | (~greater(age(A, B), age(A, C))))) | (~greater(age(sk2, sk6), age(sk2, sk5))) | (~organization(sk2)) | greater(external_ties(sk2, sk6), external_ties(sk2, sk5))),
% 0.23/0.50 inference(modus_ponens,[status(thm)],[352, 351])).
% 0.23/0.50 tff(354,plain,
% 0.23/0.50 ($false),
% 0.23/0.50 inference(unit_resolution,[status(thm)],[353, 347, 3, 38, 337])).
% 0.23/0.50 % SZS output end Proof
% 0.23/0.50 % E exiting
%------------------------------------------------------------------------------