TSTP Solution File: MGT047-1 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : MGT047-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n022.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 18 05:22:12 EDT 2022
% Result : Unsatisfiable 0.21s 0.41s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : MGT047-1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.14/0.34 % Computer : n022.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Fri Sep 2 02:54:55 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.14/0.35 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.14/0.35 Usage: tptp [options] [-file:]file
% 0.14/0.35 -h, -? prints this message.
% 0.14/0.35 -smt2 print SMT-LIB2 benchmark.
% 0.14/0.35 -m, -model generate model.
% 0.14/0.35 -p, -proof generate proof.
% 0.14/0.35 -c, -core generate unsat core of named formulas.
% 0.14/0.35 -st, -statistics display statistics.
% 0.14/0.35 -t:timeout set timeout (in second).
% 0.14/0.35 -smt2status display status in smt2 format instead of SZS.
% 0.14/0.35 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.14/0.35 -<param>:<value> configuration parameter and value.
% 0.14/0.35 -o:<output-file> file to place output in.
% 0.21/0.41 % SZS status Unsatisfiable
% 0.21/0.41 % SZS output start Proof
% 0.21/0.41 tff(smaller_or_equal_type, type, (
% 0.21/0.41 smaller_or_equal: ( $i * $i ) > $o)).
% 0.21/0.41 tff(internal_friction_type, type, (
% 0.21/0.41 internal_friction: ( $i * $i ) > $i)).
% 0.21/0.41 tff(sk5_type, type, (
% 0.21/0.41 sk5: $i)).
% 0.21/0.41 tff(sk2_type, type, (
% 0.21/0.41 sk2: $i)).
% 0.21/0.41 tff(sk6_type, type, (
% 0.21/0.41 sk6: $i)).
% 0.21/0.41 tff(organization_type, type, (
% 0.21/0.41 organization: $i > $o)).
% 0.21/0.41 tff(greater_type, type, (
% 0.21/0.41 greater: ( $i * $i ) > $o)).
% 0.21/0.41 tff(capability_type, type, (
% 0.21/0.41 capability: ( $i * $i ) > $i)).
% 0.21/0.41 tff(smaller_type, type, (
% 0.21/0.41 smaller: ( $i * $i ) > $o)).
% 0.21/0.41 tff(hazard_of_mortality_type, type, (
% 0.21/0.41 hazard_of_mortality: ( $i * $i ) > $i)).
% 0.21/0.41 tff(sk4_type, type, (
% 0.21/0.41 sk4: $i)).
% 0.21/0.41 tff(has_immunity_type, type, (
% 0.21/0.41 has_immunity: ( $i * $i ) > $o)).
% 0.21/0.41 tff(eta_type, type, (
% 0.21/0.41 eta: $i)).
% 0.21/0.41 tff(age_type, type, (
% 0.21/0.41 age: ( $i * $i ) > $i)).
% 0.21/0.41 tff(has_endowment_type, type, (
% 0.21/0.41 has_endowment: $i > $o)).
% 0.21/0.41 tff(sk3_type, type, (
% 0.21/0.41 sk3: $i)).
% 0.21/0.41 tff(greater_or_equal_type, type, (
% 0.21/0.41 greater_or_equal: ( $i * $i ) > $o)).
% 0.21/0.41 tff(position_type, type, (
% 0.21/0.41 position: ( $i * $i ) > $i)).
% 0.21/0.41 tff(external_ties_type, type, (
% 0.21/0.41 external_ties: ( $i * $i ) > $i)).
% 0.21/0.41 tff(stock_of_knowledge_type, type, (
% 0.21/0.41 stock_of_knowledge: ( $i * $i ) > $i)).
% 0.21/0.41 tff(1,assumption,(~(internal_friction(sk2, sk6) = internal_friction(sk2, sk5))), introduced(assumption)).
% 0.21/0.41 tff(2,plain,
% 0.21/0.41 (organization(sk2) <=> organization(sk2)),
% 0.21/0.41 inference(rewrite,[status(thm)],[])).
% 0.21/0.41 tff(3,axiom,(organization(sk2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','theorem_2_61')).
% 0.21/0.41 tff(4,plain,
% 0.21/0.41 (organization(sk2)),
% 0.21/0.41 inference(modus_ponens,[status(thm)],[3, 2])).
% 0.21/0.41 tff(5,plain,
% 0.21/0.41 (^[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))))),
% 0.21/0.41 inference(bind,[status(th)],[])).
% 0.21/0.41 tff(6,plain,
% 0.21/0.41 (![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)))),
% 0.21/0.41 inference(quant_intro,[status(thm)],[5])).
% 0.21/0.41 tff(7,plain,
% 0.21/0.41 (![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)))),
% 0.21/0.41 inference(rewrite,[status(thm)],[])).
% 0.21/0.41 tff(8,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')).
% 0.21/0.41 tff(9,plain,
% 0.21/0.41 (![B: $i, A: $i, C: $i] : ((~organization(A)) | (internal_friction(A, B) = internal_friction(A, C)))),
% 0.21/0.41 inference(modus_ponens,[status(thm)],[8, 7])).
% 0.21/0.41 tff(10,plain,(
% 0.21/0.41 ![B: $i, A: $i, C: $i] : ((~organization(A)) | (internal_friction(A, B) = internal_friction(A, C)))),
% 0.21/0.41 inference(skolemize,[status(sab)],[9])).
% 0.21/0.41 tff(11,plain,
% 0.21/0.41 (![B: $i, A: $i, C: $i] : ((~organization(A)) | (internal_friction(A, B) = internal_friction(A, C)))),
% 0.21/0.41 inference(modus_ponens,[status(thm)],[10, 6])).
% 0.21/0.41 tff(12,plain,
% 0.21/0.41 (((~![B: $i, A: $i, C: $i] : ((~organization(A)) | (internal_friction(A, B) = internal_friction(A, C)))) | ((~organization(sk2)) | (internal_friction(sk2, sk6) = internal_friction(sk2, sk5)))) <=> ((~![B: $i, A: $i, C: $i] : ((~organization(A)) | (internal_friction(A, B) = internal_friction(A, C)))) | (~organization(sk2)) | (internal_friction(sk2, sk6) = internal_friction(sk2, sk5)))),
% 0.21/0.41 inference(rewrite,[status(thm)],[])).
% 0.21/0.41 tff(13,plain,
% 0.21/0.41 ((~![B: $i, A: $i, C: $i] : ((~organization(A)) | (internal_friction(A, B) = internal_friction(A, C)))) | ((~organization(sk2)) | (internal_friction(sk2, sk6) = internal_friction(sk2, sk5)))),
% 0.21/0.41 inference(quant_inst,[status(thm)],[])).
% 0.21/0.41 tff(14,plain,
% 0.21/0.41 ((~![B: $i, A: $i, C: $i] : ((~organization(A)) | (internal_friction(A, B) = internal_friction(A, C)))) | (~organization(sk2)) | (internal_friction(sk2, sk6) = internal_friction(sk2, sk5))),
% 0.21/0.41 inference(modus_ponens,[status(thm)],[13, 12])).
% 0.21/0.41 tff(15,plain,
% 0.21/0.41 ($false),
% 0.21/0.41 inference(unit_resolution,[status(thm)],[14, 11, 4, 1])).
% 0.21/0.41 tff(16,plain,(internal_friction(sk2, sk6) = internal_friction(sk2, sk5)), inference(lemma,lemma(discharge,[]))).
% 0.21/0.41 tff(17,plain,
% 0.21/0.41 (internal_friction(sk2, sk5) = internal_friction(sk2, sk6)),
% 0.21/0.41 inference(symmetry,[status(thm)],[16])).
% 0.21/0.41 tff(18,plain,
% 0.21/0.41 (smaller_or_equal(internal_friction(sk2, sk5), internal_friction(sk2, sk5)) <=> smaller_or_equal(internal_friction(sk2, sk6), internal_friction(sk2, sk5))),
% 0.21/0.41 inference(monotonicity,[status(thm)],[17])).
% 0.21/0.41 tff(19,plain,
% 0.21/0.41 (smaller_or_equal(internal_friction(sk2, sk6), internal_friction(sk2, sk5)) <=> smaller_or_equal(internal_friction(sk2, sk5), internal_friction(sk2, sk5))),
% 0.21/0.41 inference(symmetry,[status(thm)],[18])).
% 0.21/0.41 tff(20,plain,
% 0.21/0.41 ((~smaller_or_equal(internal_friction(sk2, sk6), internal_friction(sk2, sk5))) <=> (~smaller_or_equal(internal_friction(sk2, sk5), internal_friction(sk2, sk5)))),
% 0.21/0.41 inference(monotonicity,[status(thm)],[19])).
% 0.21/0.41 tff(21,plain,
% 0.21/0.41 (greater(age(sk2, sk6), age(sk2, sk5)) <=> greater(age(sk2, sk6), age(sk2, sk5))),
% 0.21/0.41 inference(rewrite,[status(thm)],[])).
% 0.21/0.41 tff(22,axiom,(greater(age(sk2, sk6), age(sk2, sk5))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','theorem_2_66')).
% 0.21/0.41 tff(23,plain,
% 0.21/0.41 (greater(age(sk2, sk6), age(sk2, sk5))),
% 0.21/0.41 inference(modus_ponens,[status(thm)],[22, 21])).
% 0.21/0.41 tff(24,plain,
% 0.21/0.41 (greater(age(sk2, sk5), eta) <=> greater(age(sk2, sk5), eta)),
% 0.21/0.41 inference(rewrite,[status(thm)],[])).
% 0.21/0.41 tff(25,axiom,(greater(age(sk2, sk5), eta)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','theorem_2_65')).
% 0.21/0.41 tff(26,plain,
% 0.21/0.41 (greater(age(sk2, sk5), eta)),
% 0.21/0.41 inference(modus_ponens,[status(thm)],[25, 24])).
% 0.21/0.41 tff(27,plain,
% 0.21/0.41 (![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)))),
% 0.21/0.41 inference(rewrite,[status(thm)],[])).
% 0.21/0.41 tff(28,plain,
% 0.21/0.41 (![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)))),
% 0.21/0.41 inference(rewrite,[status(thm)],[])).
% 0.21/0.41 tff(29,plain,
% 0.21/0.41 (^[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))))),
% 0.21/0.41 inference(bind,[status(th)],[])).
% 0.21/0.41 tff(30,plain,
% 0.21/0.41 (![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)))),
% 0.21/0.41 inference(quant_intro,[status(thm)],[29])).
% 0.21/0.41 tff(31,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')).
% 0.21/0.41 tff(32,plain,
% 0.21/0.41 (![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))),
% 0.21/0.41 inference(modus_ponens,[status(thm)],[31, 30])).
% 0.21/0.41 tff(33,plain,
% 0.21/0.41 (![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))),
% 0.21/0.41 inference(modus_ponens,[status(thm)],[32, 28])).
% 0.21/0.41 tff(34,plain,(
% 0.21/0.41 ![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))),
% 0.21/0.41 inference(skolemize,[status(sab)],[33])).
% 0.21/0.41 tff(35,plain,
% 0.21/0.41 (![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))),
% 0.21/0.41 inference(modus_ponens,[status(thm)],[34, 27])).
% 0.21/0.41 tff(36,plain,
% 0.21/0.41 (((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | ((~greater(age(sk2, sk5), eta)) | (~greater(age(sk2, sk6), age(sk2, sk5))) | greater(age(sk2, sk6), eta))) <=> ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (~greater(age(sk2, sk5), eta)) | (~greater(age(sk2, sk6), age(sk2, sk5))) | greater(age(sk2, sk6), eta))),
% 0.21/0.41 inference(rewrite,[status(thm)],[])).
% 0.21/0.41 tff(37,plain,
% 0.21/0.41 ((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), age(sk2, sk5))) | greater(age(sk2, sk6), eta))),
% 0.21/0.41 inference(rewrite,[status(thm)],[])).
% 0.21/0.42 tff(38,plain,
% 0.21/0.42 (((~![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), age(sk2, sk5))) | greater(age(sk2, sk6), eta)))),
% 0.21/0.42 inference(monotonicity,[status(thm)],[37])).
% 0.21/0.42 tff(39,plain,
% 0.21/0.42 (((~![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), age(sk2, sk5))) | greater(age(sk2, sk6), eta))),
% 0.21/0.42 inference(transitivity,[status(thm)],[38, 36])).
% 0.21/0.42 tff(40,plain,
% 0.21/0.42 ((~![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))))),
% 0.21/0.42 inference(quant_inst,[status(thm)],[])).
% 0.21/0.42 tff(41,plain,
% 0.21/0.42 ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (~greater(age(sk2, sk5), eta)) | (~greater(age(sk2, sk6), age(sk2, sk5))) | greater(age(sk2, sk6), eta)),
% 0.21/0.42 inference(modus_ponens,[status(thm)],[40, 39])).
% 0.21/0.42 tff(42,plain,
% 0.21/0.42 (greater(age(sk2, sk6), eta)),
% 0.21/0.42 inference(unit_resolution,[status(thm)],[41, 35, 26, 23])).
% 0.21/0.42 tff(43,plain,
% 0.21/0.42 (has_endowment(sk2) <=> has_endowment(sk2)),
% 0.21/0.42 inference(rewrite,[status(thm)],[])).
% 0.21/0.42 tff(44,axiom,(has_endowment(sk2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','theorem_2_62')).
% 0.21/0.42 tff(45,plain,
% 0.21/0.42 (has_endowment(sk2)),
% 0.21/0.42 inference(modus_ponens,[status(thm)],[44, 43])).
% 0.21/0.42 tff(46,plain,
% 0.21/0.42 (^[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))))),
% 0.21/0.42 inference(bind,[status(th)],[])).
% 0.21/0.42 tff(47,plain,
% 0.21/0.42 (![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)))),
% 0.21/0.42 inference(quant_intro,[status(thm)],[46])).
% 0.21/0.42 tff(48,plain,
% 0.21/0.42 (![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)))),
% 0.21/0.42 inference(rewrite,[status(thm)],[])).
% 0.21/0.42 tff(49,plain,
% 0.21/0.42 (^[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))))),
% 0.21/0.42 inference(bind,[status(th)],[])).
% 0.21/0.42 tff(50,plain,
% 0.21/0.42 (![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)))),
% 0.21/0.42 inference(quant_intro,[status(thm)],[49])).
% 0.21/0.42 tff(51,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')).
% 0.21/0.42 tff(52,plain,
% 0.21/0.42 (![B: $i, A: $i] : ((~has_endowment(A)) | (~has_immunity(A, B)) | (~greater(age(A, B), eta)))),
% 0.21/0.42 inference(modus_ponens,[status(thm)],[51, 50])).
% 0.21/0.42 tff(53,plain,
% 0.21/0.42 (![B: $i, A: $i] : ((~has_endowment(A)) | (~has_immunity(A, B)) | (~greater(age(A, B), eta)))),
% 0.21/0.42 inference(modus_ponens,[status(thm)],[52, 48])).
% 0.21/0.42 tff(54,plain,(
% 0.21/0.42 ![B: $i, A: $i] : ((~has_endowment(A)) | (~has_immunity(A, B)) | (~greater(age(A, B), eta)))),
% 0.21/0.42 inference(skolemize,[status(sab)],[53])).
% 0.21/0.42 tff(55,plain,
% 0.21/0.42 (![B: $i, A: $i] : ((~has_endowment(A)) | (~has_immunity(A, B)) | (~greater(age(A, B), eta)))),
% 0.21/0.42 inference(modus_ponens,[status(thm)],[54, 47])).
% 0.21/0.42 tff(56,plain,
% 0.21/0.42 (((~![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)))),
% 0.21/0.42 inference(rewrite,[status(thm)],[])).
% 0.21/0.42 tff(57,plain,
% 0.21/0.42 ((~![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)))),
% 0.21/0.42 inference(quant_inst,[status(thm)],[])).
% 0.21/0.42 tff(58,plain,
% 0.21/0.42 ((~![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))),
% 0.21/0.42 inference(modus_ponens,[status(thm)],[57, 56])).
% 0.21/0.42 tff(59,plain,
% 0.21/0.42 (~has_immunity(sk2, sk6)),
% 0.21/0.42 inference(unit_resolution,[status(thm)],[58, 55, 45, 42])).
% 0.21/0.42 tff(60,plain,
% 0.21/0.42 (smaller_or_equal(age(sk2, sk4), eta) <=> smaller_or_equal(age(sk2, sk4), eta)),
% 0.21/0.42 inference(rewrite,[status(thm)],[])).
% 0.21/0.42 tff(61,axiom,(smaller_or_equal(age(sk2, sk4), eta)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','theorem_2_64')).
% 0.21/0.42 tff(62,plain,
% 0.21/0.42 (smaller_or_equal(age(sk2, sk4), eta)),
% 0.21/0.42 inference(modus_ponens,[status(thm)],[61, 60])).
% 0.21/0.42 tff(63,plain,
% 0.21/0.42 (^[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))))),
% 0.21/0.42 inference(bind,[status(th)],[])).
% 0.21/0.42 tff(64,plain,
% 0.21/0.42 (![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)))),
% 0.21/0.42 inference(quant_intro,[status(thm)],[63])).
% 0.21/0.42 tff(65,plain,
% 0.21/0.42 (![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)))),
% 0.21/0.42 inference(rewrite,[status(thm)],[])).
% 0.21/0.42 tff(66,plain,
% 0.21/0.42 (^[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))))),
% 0.21/0.42 inference(bind,[status(th)],[])).
% 0.21/0.42 tff(67,plain,
% 0.21/0.42 (![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)))),
% 0.21/0.42 inference(quant_intro,[status(thm)],[66])).
% 0.21/0.42 tff(68,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')).
% 0.21/0.42 tff(69,plain,
% 0.21/0.42 (![B: $i, A: $i] : ((~has_endowment(A)) | has_immunity(A, B) | (~smaller_or_equal(age(A, B), eta)))),
% 0.21/0.42 inference(modus_ponens,[status(thm)],[68, 67])).
% 0.21/0.42 tff(70,plain,
% 0.21/0.42 (![B: $i, A: $i] : ((~has_endowment(A)) | has_immunity(A, B) | (~smaller_or_equal(age(A, B), eta)))),
% 0.21/0.42 inference(modus_ponens,[status(thm)],[69, 65])).
% 0.21/0.42 tff(71,plain,(
% 0.21/0.42 ![B: $i, A: $i] : ((~has_endowment(A)) | has_immunity(A, B) | (~smaller_or_equal(age(A, B), eta)))),
% 0.21/0.42 inference(skolemize,[status(sab)],[70])).
% 0.21/0.42 tff(72,plain,
% 0.21/0.42 (![B: $i, A: $i] : ((~has_endowment(A)) | has_immunity(A, B) | (~smaller_or_equal(age(A, B), eta)))),
% 0.21/0.42 inference(modus_ponens,[status(thm)],[71, 64])).
% 0.21/0.42 tff(73,plain,
% 0.21/0.42 (((~![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))),
% 0.21/0.42 inference(rewrite,[status(thm)],[])).
% 0.21/0.42 tff(74,plain,
% 0.21/0.42 (((~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))),
% 0.21/0.42 inference(rewrite,[status(thm)],[])).
% 0.21/0.42 tff(75,plain,
% 0.21/0.42 (((~![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)))),
% 0.21/0.42 inference(monotonicity,[status(thm)],[74])).
% 0.21/0.42 tff(76,plain,
% 0.21/0.42 (((~![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))),
% 0.21/0.42 inference(transitivity,[status(thm)],[75, 73])).
% 0.21/0.42 tff(77,plain,
% 0.21/0.42 ((~![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)))),
% 0.21/0.42 inference(quant_inst,[status(thm)],[])).
% 0.21/0.42 tff(78,plain,
% 0.21/0.42 ((~![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)),
% 0.21/0.42 inference(modus_ponens,[status(thm)],[77, 76])).
% 0.21/0.42 tff(79,plain,
% 0.21/0.42 (has_immunity(sk2, sk4)),
% 0.21/0.42 inference(unit_resolution,[status(thm)],[78, 72, 45, 62])).
% 0.21/0.42 tff(80,assumption,(~greater(hazard_of_mortality(sk2, sk6), hazard_of_mortality(sk2, sk4))), introduced(assumption)).
% 0.21/0.42 tff(81,plain,
% 0.21/0.42 (^[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))))),
% 0.21/0.42 inference(bind,[status(th)],[])).
% 0.21/0.42 tff(82,plain,
% 0.21/0.42 (![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)))),
% 0.21/0.42 inference(quant_intro,[status(thm)],[81])).
% 0.21/0.42 tff(83,plain,
% 0.21/0.42 (![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)))),
% 0.21/0.42 inference(rewrite,[status(thm)],[])).
% 0.21/0.42 tff(84,plain,
% 0.21/0.42 (^[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)))))),
% 0.21/0.42 inference(bind,[status(th)],[])).
% 0.21/0.42 tff(85,plain,
% 0.21/0.42 (![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)))),
% 0.21/0.42 inference(quant_intro,[status(thm)],[84])).
% 0.21/0.42 tff(86,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')).
% 0.21/0.42 tff(87,plain,
% 0.21/0.42 (![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)))),
% 0.21/0.42 inference(modus_ponens,[status(thm)],[86, 85])).
% 0.21/0.42 tff(88,plain,
% 0.21/0.42 (![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)))),
% 0.21/0.42 inference(modus_ponens,[status(thm)],[87, 83])).
% 0.21/0.42 tff(89,plain,(
% 0.21/0.42 ![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)))),
% 0.21/0.42 inference(skolemize,[status(sab)],[88])).
% 0.21/0.42 tff(90,plain,
% 0.21/0.42 (![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)))),
% 0.21/0.42 inference(modus_ponens,[status(thm)],[89, 82])).
% 0.21/0.42 tff(91,plain,
% 0.21/0.42 (((~![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)) | (~organization(sk2)) | (~has_immunity(sk2, sk4)) | has_immunity(sk2, sk6))) <=> ((~![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)) | (~organization(sk2)) | (~has_immunity(sk2, sk4)) | has_immunity(sk2, sk6))),
% 0.21/0.42 inference(rewrite,[status(thm)],[])).
% 0.21/0.42 tff(92,plain,
% 0.21/0.42 ((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)) | (~organization(sk2)) | (~has_immunity(sk2, sk4)) | has_immunity(sk2, sk6))),
% 0.21/0.42 inference(rewrite,[status(thm)],[])).
% 0.21/0.42 tff(93,plain,
% 0.21/0.42 (((~![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)) | (~organization(sk2)) | (~has_immunity(sk2, sk4)) | has_immunity(sk2, sk6)))),
% 0.21/0.42 inference(monotonicity,[status(thm)],[92])).
% 0.21/0.42 tff(94,plain,
% 0.21/0.42 (((~![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)) | (~organization(sk2)) | (~has_immunity(sk2, sk4)) | has_immunity(sk2, sk6))),
% 0.21/0.42 inference(transitivity,[status(thm)],[93, 91])).
% 0.21/0.42 tff(95,plain,
% 0.21/0.42 ((~![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)))),
% 0.21/0.43 inference(quant_inst,[status(thm)],[])).
% 0.21/0.43 tff(96,plain,
% 0.21/0.43 ((~![B: $i, A: $i, C: $i] : (greater(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | has_immunity(A, C) | (~has_immunity(A, B)) | (~organization(A)))) | greater(hazard_of_mortality(sk2, sk6), hazard_of_mortality(sk2, sk4)) | (~organization(sk2)) | (~has_immunity(sk2, sk4)) | has_immunity(sk2, sk6)),
% 0.21/0.43 inference(modus_ponens,[status(thm)],[95, 94])).
% 0.21/0.43 tff(97,plain,
% 0.21/0.43 ($false),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[96, 90, 4, 80, 79, 59])).
% 0.21/0.43 tff(98,plain,(greater(hazard_of_mortality(sk2, sk6), hazard_of_mortality(sk2, sk4))), inference(lemma,lemma(discharge,[]))).
% 0.21/0.43 tff(99,assumption,(~smaller_or_equal(age(sk2, sk3), eta)), introduced(assumption)).
% 0.21/0.43 tff(100,plain,
% 0.21/0.43 (^[B: $i, A: $i] : refl(((~smaller(A, B)) | smaller_or_equal(A, B)) <=> ((~smaller(A, B)) | smaller_or_equal(A, B)))),
% 0.21/0.43 inference(bind,[status(th)],[])).
% 0.21/0.43 tff(101,plain,
% 0.21/0.43 (![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B)) <=> ![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B))),
% 0.21/0.43 inference(quant_intro,[status(thm)],[100])).
% 0.21/0.43 tff(102,plain,
% 0.21/0.43 (![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B)) <=> ![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B))),
% 0.21/0.43 inference(rewrite,[status(thm)],[])).
% 0.21/0.43 tff(103,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')).
% 0.21/0.43 tff(104,plain,
% 0.21/0.43 (![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B))),
% 0.21/0.43 inference(modus_ponens,[status(thm)],[103, 102])).
% 0.21/0.43 tff(105,plain,(
% 0.21/0.43 ![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B))),
% 0.21/0.43 inference(skolemize,[status(sab)],[104])).
% 0.21/0.43 tff(106,plain,
% 0.21/0.43 (![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B))),
% 0.21/0.43 inference(modus_ponens,[status(thm)],[105, 101])).
% 0.21/0.43 tff(107,plain,
% 0.21/0.43 (((~![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))),
% 0.21/0.43 inference(rewrite,[status(thm)],[])).
% 0.21/0.43 tff(108,plain,
% 0.21/0.43 ((~![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B))) | ((~smaller(age(sk2, sk3), eta)) | smaller_or_equal(age(sk2, sk3), eta))),
% 0.21/0.43 inference(quant_inst,[status(thm)],[])).
% 0.21/0.43 tff(109,plain,
% 0.21/0.43 ((~![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B))) | (~smaller(age(sk2, sk3), eta)) | smaller_or_equal(age(sk2, sk3), eta)),
% 0.21/0.43 inference(modus_ponens,[status(thm)],[108, 107])).
% 0.21/0.43 tff(110,plain,
% 0.21/0.43 (~smaller(age(sk2, sk3), eta)),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[109, 106, 99])).
% 0.21/0.43 tff(111,plain,
% 0.21/0.43 (^[B: $i, A: $i] : refl(((~(A = B)) | smaller_or_equal(A, B)) <=> ((~(A = B)) | smaller_or_equal(A, B)))),
% 0.21/0.43 inference(bind,[status(th)],[])).
% 0.21/0.43 tff(112,plain,
% 0.21/0.43 (![B: $i, A: $i] : ((~(A = B)) | smaller_or_equal(A, B)) <=> ![B: $i, A: $i] : ((~(A = B)) | smaller_or_equal(A, B))),
% 0.21/0.43 inference(quant_intro,[status(thm)],[111])).
% 0.21/0.43 tff(113,plain,
% 0.21/0.43 (![B: $i, A: $i] : ((~(A = B)) | smaller_or_equal(A, B)) <=> ![B: $i, A: $i] : ((~(A = B)) | smaller_or_equal(A, B))),
% 0.21/0.43 inference(rewrite,[status(thm)],[])).
% 0.21/0.43 tff(114,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')).
% 0.21/0.43 tff(115,plain,
% 0.21/0.43 (![B: $i, A: $i] : ((~(A = B)) | smaller_or_equal(A, B))),
% 0.21/0.43 inference(modus_ponens,[status(thm)],[114, 113])).
% 0.21/0.43 tff(116,plain,(
% 0.21/0.43 ![B: $i, A: $i] : ((~(A = B)) | smaller_or_equal(A, B))),
% 0.21/0.43 inference(skolemize,[status(sab)],[115])).
% 0.21/0.43 tff(117,plain,
% 0.21/0.43 (![B: $i, A: $i] : ((~(A = B)) | smaller_or_equal(A, B))),
% 0.21/0.43 inference(modus_ponens,[status(thm)],[116, 112])).
% 0.21/0.43 tff(118,plain,
% 0.21/0.43 (((~![B: $i, A: $i] : ((~(A = B)) | smaller_or_equal(A, B))) | ((~(age(sk2, sk3) = eta)) | smaller_or_equal(age(sk2, sk3), eta))) <=> ((~![B: $i, A: $i] : ((~(A = B)) | smaller_or_equal(A, B))) | (~(age(sk2, sk3) = eta)) | smaller_or_equal(age(sk2, sk3), eta))),
% 0.21/0.43 inference(rewrite,[status(thm)],[])).
% 0.21/0.43 tff(119,plain,
% 0.21/0.43 ((~![B: $i, A: $i] : ((~(A = B)) | smaller_or_equal(A, B))) | ((~(age(sk2, sk3) = eta)) | smaller_or_equal(age(sk2, sk3), eta))),
% 0.21/0.43 inference(quant_inst,[status(thm)],[])).
% 0.21/0.43 tff(120,plain,
% 0.21/0.43 ((~![B: $i, A: $i] : ((~(A = B)) | smaller_or_equal(A, B))) | (~(age(sk2, sk3) = eta)) | smaller_or_equal(age(sk2, sk3), eta)),
% 0.21/0.43 inference(modus_ponens,[status(thm)],[119, 118])).
% 0.21/0.43 tff(121,plain,
% 0.21/0.43 (~(age(sk2, sk3) = eta)),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[120, 117, 99])).
% 0.21/0.43 tff(122,plain,
% 0.21/0.43 (^[B: $i, A: $i] : refl(((A = B) | smaller(A, B) | greater(A, B)) <=> ((A = B) | smaller(A, B) | greater(A, B)))),
% 0.21/0.43 inference(bind,[status(th)],[])).
% 0.21/0.43 tff(123,plain,
% 0.21/0.43 (![B: $i, A: $i] : ((A = B) | smaller(A, B) | greater(A, B)) <=> ![B: $i, A: $i] : ((A = B) | smaller(A, B) | greater(A, B))),
% 0.21/0.43 inference(quant_intro,[status(thm)],[122])).
% 0.21/0.43 tff(124,plain,
% 0.21/0.43 (![B: $i, A: $i] : ((A = B) | smaller(A, B) | greater(A, B)) <=> ![B: $i, A: $i] : ((A = B) | smaller(A, B) | greater(A, B))),
% 0.21/0.43 inference(rewrite,[status(thm)],[])).
% 0.21/0.43 tff(125,plain,
% 0.21/0.43 (^[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))))),
% 0.21/0.43 inference(bind,[status(th)],[])).
% 0.21/0.43 tff(126,plain,
% 0.21/0.43 (![B: $i, A: $i] : ((smaller(A, B) | (A = B)) | greater(A, B)) <=> ![B: $i, A: $i] : ((A = B) | smaller(A, B) | greater(A, B))),
% 0.21/0.43 inference(quant_intro,[status(thm)],[125])).
% 0.21/0.43 tff(127,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')).
% 0.21/0.43 tff(128,plain,
% 0.21/0.43 (![B: $i, A: $i] : ((A = B) | smaller(A, B) | greater(A, B))),
% 0.21/0.43 inference(modus_ponens,[status(thm)],[127, 126])).
% 0.21/0.43 tff(129,plain,
% 0.21/0.43 (![B: $i, A: $i] : ((A = B) | smaller(A, B) | greater(A, B))),
% 0.21/0.43 inference(modus_ponens,[status(thm)],[128, 124])).
% 0.21/0.43 tff(130,plain,(
% 0.21/0.43 ![B: $i, A: $i] : ((A = B) | smaller(A, B) | greater(A, B))),
% 0.21/0.43 inference(skolemize,[status(sab)],[129])).
% 0.21/0.43 tff(131,plain,
% 0.21/0.43 (![B: $i, A: $i] : ((A = B) | smaller(A, B) | greater(A, B))),
% 0.21/0.43 inference(modus_ponens,[status(thm)],[130, 123])).
% 0.21/0.43 tff(132,plain,
% 0.21/0.43 (((~![B: $i, A: $i] : ((A = B) | smaller(A, B) | greater(A, B))) | (greater(age(sk2, sk3), eta) | (age(sk2, sk3) = eta) | smaller(age(sk2, sk3), eta))) <=> ((~![B: $i, A: $i] : ((A = B) | smaller(A, B) | greater(A, B))) | greater(age(sk2, sk3), eta) | (age(sk2, sk3) = eta) | smaller(age(sk2, sk3), eta))),
% 0.21/0.43 inference(rewrite,[status(thm)],[])).
% 0.21/0.43 tff(133,plain,
% 0.21/0.43 (((age(sk2, sk3) = eta) | smaller(age(sk2, sk3), eta) | greater(age(sk2, sk3), eta)) <=> (greater(age(sk2, sk3), eta) | (age(sk2, sk3) = eta) | smaller(age(sk2, sk3), eta))),
% 0.21/0.43 inference(rewrite,[status(thm)],[])).
% 0.21/0.43 tff(134,plain,
% 0.21/0.43 (((~![B: $i, A: $i] : ((A = B) | smaller(A, B) | greater(A, B))) | ((age(sk2, sk3) = eta) | smaller(age(sk2, sk3), eta) | greater(age(sk2, sk3), eta))) <=> ((~![B: $i, A: $i] : ((A = B) | smaller(A, B) | greater(A, B))) | (greater(age(sk2, sk3), eta) | (age(sk2, sk3) = eta) | smaller(age(sk2, sk3), eta)))),
% 0.21/0.43 inference(monotonicity,[status(thm)],[133])).
% 0.21/0.43 tff(135,plain,
% 0.21/0.43 (((~![B: $i, A: $i] : ((A = B) | smaller(A, B) | greater(A, B))) | ((age(sk2, sk3) = eta) | smaller(age(sk2, sk3), eta) | greater(age(sk2, sk3), eta))) <=> ((~![B: $i, A: $i] : ((A = B) | smaller(A, B) | greater(A, B))) | greater(age(sk2, sk3), eta) | (age(sk2, sk3) = eta) | smaller(age(sk2, sk3), eta))),
% 0.21/0.43 inference(transitivity,[status(thm)],[134, 132])).
% 0.21/0.43 tff(136,plain,
% 0.21/0.43 ((~![B: $i, A: $i] : ((A = B) | smaller(A, B) | greater(A, B))) | ((age(sk2, sk3) = eta) | smaller(age(sk2, sk3), eta) | greater(age(sk2, sk3), eta))),
% 0.21/0.43 inference(quant_inst,[status(thm)],[])).
% 0.21/0.43 tff(137,plain,
% 0.21/0.43 ((~![B: $i, A: $i] : ((A = B) | smaller(A, B) | greater(A, B))) | greater(age(sk2, sk3), eta) | (age(sk2, sk3) = eta) | smaller(age(sk2, sk3), eta)),
% 0.21/0.43 inference(modus_ponens,[status(thm)],[136, 135])).
% 0.21/0.43 tff(138,plain,
% 0.21/0.43 (greater(age(sk2, sk3), eta)),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[137, 131, 121, 110])).
% 0.21/0.43 tff(139,assumption,(greater(age(sk2, sk4), age(sk2, sk3))), introduced(assumption)).
% 0.21/0.43 tff(140,plain,
% 0.21/0.43 (((~![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)))),
% 0.21/0.43 inference(rewrite,[status(thm)],[])).
% 0.21/0.43 tff(141,plain,
% 0.21/0.43 ((~![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)))),
% 0.21/0.43 inference(quant_inst,[status(thm)],[])).
% 0.21/0.43 tff(142,plain,
% 0.21/0.43 ((~![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))),
% 0.21/0.43 inference(modus_ponens,[status(thm)],[141, 140])).
% 0.21/0.43 tff(143,plain,
% 0.21/0.43 (~greater(age(sk2, sk4), eta)),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[142, 55, 45, 79])).
% 0.21/0.43 tff(144,assumption,(greater(age(sk2, sk3), eta)), introduced(assumption)).
% 0.21/0.43 tff(145,plain,
% 0.21/0.43 (((~![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))))),
% 0.21/0.43 inference(rewrite,[status(thm)],[])).
% 0.21/0.43 tff(146,plain,
% 0.21/0.43 ((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))))),
% 0.21/0.43 inference(rewrite,[status(thm)],[])).
% 0.21/0.43 tff(147,plain,
% 0.21/0.43 (((~![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)))))),
% 0.21/0.43 inference(monotonicity,[status(thm)],[146])).
% 0.21/0.43 tff(148,plain,
% 0.21/0.43 (((~![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))))),
% 0.21/0.43 inference(transitivity,[status(thm)],[147, 145])).
% 0.21/0.43 tff(149,plain,
% 0.21/0.43 ((~![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))))),
% 0.21/0.43 inference(quant_inst,[status(thm)],[])).
% 0.21/0.43 tff(150,plain,
% 0.21/0.43 ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (~greater(age(sk2, sk3), eta)) | greater(age(sk2, sk4), eta) | (~greater(age(sk2, sk4), age(sk2, sk3)))),
% 0.21/0.43 inference(modus_ponens,[status(thm)],[149, 148])).
% 0.21/0.43 tff(151,plain,
% 0.21/0.43 ($false),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[150, 35, 144, 143, 139])).
% 0.21/0.43 tff(152,plain,((~greater(age(sk2, sk4), age(sk2, sk3))) | (~greater(age(sk2, sk3), eta))), inference(lemma,lemma(discharge,[]))).
% 0.21/0.43 tff(153,plain,
% 0.21/0.44 (~greater(age(sk2, sk4), age(sk2, sk3))),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[152, 138])).
% 0.21/0.44 tff(154,plain,
% 0.21/0.44 (^[B: $i, A: $i] : refl(((~smaller(A, B)) | greater(B, A)) <=> ((~smaller(A, B)) | greater(B, A)))),
% 0.21/0.44 inference(bind,[status(th)],[])).
% 0.21/0.44 tff(155,plain,
% 0.21/0.44 (![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A)) <=> ![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))),
% 0.21/0.44 inference(quant_intro,[status(thm)],[154])).
% 0.21/0.44 tff(156,plain,
% 0.21/0.44 (![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A)) <=> ![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))),
% 0.21/0.44 inference(rewrite,[status(thm)],[])).
% 0.21/0.44 tff(157,axiom,(![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))), file('/export/starexec/sandbox/benchmark/Axioms/MGT001-0.ax','definition_smaller_7')).
% 0.21/0.44 tff(158,plain,
% 0.21/0.44 (![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))),
% 0.21/0.44 inference(modus_ponens,[status(thm)],[157, 156])).
% 0.21/0.44 tff(159,plain,(
% 0.21/0.44 ![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))),
% 0.21/0.44 inference(skolemize,[status(sab)],[158])).
% 0.21/0.44 tff(160,plain,
% 0.21/0.44 (![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))),
% 0.21/0.44 inference(modus_ponens,[status(thm)],[159, 155])).
% 0.21/0.44 tff(161,plain,
% 0.21/0.44 (((~![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)))),
% 0.21/0.44 inference(rewrite,[status(thm)],[])).
% 0.21/0.44 tff(162,plain,
% 0.21/0.44 ((~![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))) | ((~smaller(age(sk2, sk3), age(sk2, sk4))) | greater(age(sk2, sk4), age(sk2, sk3)))),
% 0.21/0.44 inference(quant_inst,[status(thm)],[])).
% 0.21/0.44 tff(163,plain,
% 0.21/0.44 ((~![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))) | (~smaller(age(sk2, sk3), age(sk2, sk4))) | greater(age(sk2, sk4), age(sk2, sk3))),
% 0.21/0.44 inference(modus_ponens,[status(thm)],[162, 161])).
% 0.21/0.44 tff(164,plain,
% 0.21/0.44 (~smaller(age(sk2, sk3), age(sk2, sk4))),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[163, 160, 153])).
% 0.21/0.44 tff(165,plain,
% 0.21/0.44 (smaller_or_equal(age(sk2, sk3), age(sk2, sk4)) <=> smaller_or_equal(age(sk2, sk3), age(sk2, sk4))),
% 0.21/0.44 inference(rewrite,[status(thm)],[])).
% 0.21/0.44 tff(166,axiom,(smaller_or_equal(age(sk2, sk3), age(sk2, sk4))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','theorem_2_63')).
% 0.21/0.44 tff(167,plain,
% 0.21/0.44 (smaller_or_equal(age(sk2, sk3), age(sk2, sk4))),
% 0.21/0.44 inference(modus_ponens,[status(thm)],[166, 165])).
% 0.21/0.44 tff(168,plain,
% 0.21/0.44 (^[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))))),
% 0.21/0.44 inference(bind,[status(th)],[])).
% 0.21/0.44 tff(169,plain,
% 0.21/0.44 (![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)))),
% 0.21/0.44 inference(quant_intro,[status(thm)],[168])).
% 0.21/0.44 tff(170,plain,
% 0.21/0.44 (![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)))),
% 0.21/0.44 inference(rewrite,[status(thm)],[])).
% 0.21/0.44 tff(171,plain,
% 0.21/0.44 (^[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))))),
% 0.21/0.44 inference(bind,[status(th)],[])).
% 0.21/0.44 tff(172,plain,
% 0.21/0.44 (![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)))),
% 0.21/0.44 inference(quant_intro,[status(thm)],[171])).
% 0.21/0.44 tff(173,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')).
% 0.21/0.44 tff(174,plain,
% 0.21/0.44 (![B: $i, A: $i] : ((A = B) | smaller(A, B) | (~smaller_or_equal(A, B)))),
% 0.21/0.44 inference(modus_ponens,[status(thm)],[173, 172])).
% 0.21/0.44 tff(175,plain,
% 0.21/0.44 (![B: $i, A: $i] : ((A = B) | smaller(A, B) | (~smaller_or_equal(A, B)))),
% 0.21/0.44 inference(modus_ponens,[status(thm)],[174, 170])).
% 0.21/0.44 tff(176,plain,(
% 0.21/0.44 ![B: $i, A: $i] : ((A = B) | smaller(A, B) | (~smaller_or_equal(A, B)))),
% 0.21/0.44 inference(skolemize,[status(sab)],[175])).
% 0.21/0.44 tff(177,plain,
% 0.21/0.44 (![B: $i, A: $i] : ((A = B) | smaller(A, B) | (~smaller_or_equal(A, B)))),
% 0.21/0.44 inference(modus_ponens,[status(thm)],[176, 169])).
% 0.21/0.44 tff(178,plain,
% 0.21/0.44 (((~![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))))),
% 0.21/0.44 inference(rewrite,[status(thm)],[])).
% 0.21/0.44 tff(179,plain,
% 0.21/0.44 ((~![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))))),
% 0.21/0.44 inference(quant_inst,[status(thm)],[])).
% 0.21/0.44 tff(180,plain,
% 0.21/0.44 ((~![B: $i, A: $i] : ((A = B) | smaller(A, B) | (~smaller_or_equal(A, B)))) | (age(sk2, sk3) = age(sk2, sk4)) | smaller(age(sk2, sk3), age(sk2, sk4)) | (~smaller_or_equal(age(sk2, sk3), age(sk2, sk4)))),
% 0.21/0.44 inference(modus_ponens,[status(thm)],[179, 178])).
% 0.21/0.44 tff(181,plain,
% 0.21/0.44 ((age(sk2, sk3) = age(sk2, sk4)) | smaller(age(sk2, sk3), age(sk2, sk4))),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[180, 177, 167])).
% 0.21/0.44 tff(182,plain,
% 0.21/0.44 (age(sk2, sk3) = age(sk2, sk4)),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[181, 164])).
% 0.21/0.44 tff(183,plain,
% 0.21/0.44 (smaller_or_equal(age(sk2, sk3), eta) <=> smaller_or_equal(age(sk2, sk4), eta)),
% 0.21/0.44 inference(monotonicity,[status(thm)],[182])).
% 0.21/0.44 tff(184,plain,
% 0.21/0.44 (smaller_or_equal(age(sk2, sk4), eta) <=> smaller_or_equal(age(sk2, sk3), eta)),
% 0.21/0.44 inference(symmetry,[status(thm)],[183])).
% 0.21/0.44 tff(185,plain,
% 0.21/0.44 (smaller_or_equal(age(sk2, sk3), eta)),
% 0.21/0.44 inference(modus_ponens,[status(thm)],[62, 184])).
% 0.21/0.44 tff(186,plain,
% 0.21/0.44 ($false),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[99, 185])).
% 0.21/0.44 tff(187,plain,(smaller_or_equal(age(sk2, sk3), eta)), inference(lemma,lemma(discharge,[]))).
% 0.21/0.44 tff(188,plain,
% 0.21/0.44 (((~![B: $i, A: $i] : ((~has_endowment(A)) | has_immunity(A, B) | (~smaller_or_equal(age(A, B), eta)))) | ((~has_endowment(sk2)) | has_immunity(sk2, 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)))),
% 0.21/0.44 inference(rewrite,[status(thm)],[])).
% 0.21/0.44 tff(189,plain,
% 0.21/0.44 ((~![B: $i, A: $i] : ((~has_endowment(A)) | has_immunity(A, B) | (~smaller_or_equal(age(A, B), eta)))) | ((~has_endowment(sk2)) | has_immunity(sk2, sk3) | (~smaller_or_equal(age(sk2, sk3), eta)))),
% 0.21/0.44 inference(quant_inst,[status(thm)],[])).
% 0.21/0.44 tff(190,plain,
% 0.21/0.44 ((~![B: $i, A: $i] : ((~has_endowment(A)) | has_immunity(A, B) | (~smaller_or_equal(age(A, B), eta)))) | (~has_endowment(sk2)) | has_immunity(sk2, sk3) | (~smaller_or_equal(age(sk2, sk3), eta))),
% 0.21/0.44 inference(modus_ponens,[status(thm)],[189, 188])).
% 0.21/0.44 tff(191,plain,
% 0.21/0.44 (has_immunity(sk2, sk3) | (~smaller_or_equal(age(sk2, sk3), eta))),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[190, 72, 45])).
% 0.21/0.44 tff(192,plain,
% 0.21/0.44 (has_immunity(sk2, sk3)),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[191, 187])).
% 0.21/0.44 tff(193,assumption,(~(hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3))), introduced(assumption)).
% 0.21/0.44 tff(194,plain,
% 0.21/0.44 (^[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))))),
% 0.21/0.44 inference(bind,[status(th)],[])).
% 0.21/0.44 tff(195,plain,
% 0.21/0.44 (![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)))),
% 0.21/0.44 inference(quant_intro,[status(thm)],[194])).
% 0.21/0.44 tff(196,plain,
% 0.21/0.44 (![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)))),
% 0.21/0.44 inference(rewrite,[status(thm)],[])).
% 0.21/0.44 tff(197,plain,
% 0.21/0.44 (^[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)))))),
% 0.21/0.44 inference(bind,[status(th)],[])).
% 0.21/0.44 tff(198,plain,
% 0.21/0.44 (![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)))),
% 0.21/0.44 inference(quant_intro,[status(thm)],[197])).
% 0.21/0.44 tff(199,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')).
% 0.21/0.44 tff(200,plain,
% 0.21/0.44 (![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)))),
% 0.21/0.44 inference(modus_ponens,[status(thm)],[199, 198])).
% 0.21/0.44 tff(201,plain,
% 0.21/0.44 (![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)))),
% 0.21/0.44 inference(modus_ponens,[status(thm)],[200, 196])).
% 0.21/0.44 tff(202,plain,(
% 0.21/0.44 ![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)))),
% 0.21/0.44 inference(skolemize,[status(sab)],[201])).
% 0.21/0.44 tff(203,plain,
% 0.21/0.44 (![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)))),
% 0.21/0.44 inference(modus_ponens,[status(thm)],[202, 195])).
% 0.21/0.44 tff(204,plain,
% 0.21/0.44 (((~![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)) | (~organization(sk2)) | (~has_immunity(sk2, sk3)) | (~has_immunity(sk2, sk4)))) <=> ((~![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)) | (~organization(sk2)) | (~has_immunity(sk2, sk3)) | (~has_immunity(sk2, sk4)))),
% 0.21/0.44 inference(rewrite,[status(thm)],[])).
% 0.21/0.44 tff(205,plain,
% 0.21/0.44 (((hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3)) | (~has_immunity(sk2, sk3)) | (~has_immunity(sk2, sk4)) | (~organization(sk2))) <=> ((hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3)) | (~organization(sk2)) | (~has_immunity(sk2, sk3)) | (~has_immunity(sk2, sk4)))),
% 0.21/0.44 inference(rewrite,[status(thm)],[])).
% 0.21/0.44 tff(206,plain,
% 0.21/0.44 (((~![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)) | (~organization(sk2)) | (~has_immunity(sk2, sk3)) | (~has_immunity(sk2, sk4))))),
% 0.21/0.44 inference(monotonicity,[status(thm)],[205])).
% 0.21/0.44 tff(207,plain,
% 0.21/0.44 (((~![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)) | (~organization(sk2)) | (~has_immunity(sk2, sk3)) | (~has_immunity(sk2, sk4)))),
% 0.21/0.44 inference(transitivity,[status(thm)],[206, 204])).
% 0.21/0.44 tff(208,plain,
% 0.21/0.44 ((~![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)))),
% 0.21/0.44 inference(quant_inst,[status(thm)],[])).
% 0.21/0.44 tff(209,plain,
% 0.21/0.44 ((~![B: $i, A: $i, C: $i] : ((hazard_of_mortality(A, B) = hazard_of_mortality(A, C)) | (~has_immunity(A, C)) | (~has_immunity(A, B)) | (~organization(A)))) | (hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3)) | (~organization(sk2)) | (~has_immunity(sk2, sk3)) | (~has_immunity(sk2, sk4))),
% 0.21/0.44 inference(modus_ponens,[status(thm)],[208, 207])).
% 0.21/0.44 tff(210,plain,
% 0.21/0.44 ($false),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[209, 203, 4, 193, 192, 79])).
% 0.21/0.44 tff(211,plain,(hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3)), inference(lemma,lemma(discharge,[]))).
% 0.21/0.44 tff(212,plain,
% 0.21/0.44 (((~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))))),
% 0.21/0.44 inference(rewrite,[status(thm)],[])).
% 0.21/0.44 tff(213,plain,
% 0.21/0.44 ((((~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))))),
% 0.21/0.44 inference(rewrite,[status(thm)],[])).
% 0.21/0.44 tff(214,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')).
% 0.21/0.44 tff(215,plain,
% 0.21/0.44 ((~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)))),
% 0.21/0.44 inference(modus_ponens,[status(thm)],[214, 213])).
% 0.21/0.44 tff(216,plain,
% 0.21/0.44 ((~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)))),
% 0.21/0.45 inference(modus_ponens,[status(thm)],[215, 212])).
% 0.21/0.45 tff(217,plain,
% 0.21/0.45 ((~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)))),
% 0.21/0.45 inference(modus_ponens,[status(thm)],[216, 212])).
% 0.21/0.45 tff(218,plain,
% 0.21/0.45 ((~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)))),
% 0.21/0.45 inference(modus_ponens,[status(thm)],[217, 212])).
% 0.21/0.45 tff(219,plain,
% 0.21/0.45 ((~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)))),
% 0.21/0.45 inference(modus_ponens,[status(thm)],[218, 212])).
% 0.21/0.45 tff(220,plain,
% 0.21/0.45 ((~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)))),
% 0.21/0.45 inference(modus_ponens,[status(thm)],[219, 212])).
% 0.21/0.45 tff(221,plain,
% 0.21/0.45 ((~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)))),
% 0.21/0.45 inference(modus_ponens,[status(thm)],[220, 212])).
% 0.21/0.45 tff(222,plain,
% 0.21/0.45 ((~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)))),
% 0.21/0.45 inference(modus_ponens,[status(thm)],[221, 212])).
% 0.21/0.45 tff(223,plain,
% 0.21/0.45 ((~greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk6))) | (~greater(hazard_of_mortality(sk2, sk6), hazard_of_mortality(sk2, sk4)))),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[222, 211])).
% 0.21/0.45 tff(224,plain,
% 0.21/0.45 (~greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk6))),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[223, 98])).
% 0.21/0.45 tff(225,plain,
% 0.21/0.45 (((~![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)))),
% 0.21/0.45 inference(rewrite,[status(thm)],[])).
% 0.21/0.45 tff(226,plain,
% 0.21/0.45 ((~![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)))),
% 0.21/0.45 inference(quant_inst,[status(thm)],[])).
% 0.21/0.45 tff(227,plain,
% 0.21/0.45 ((~![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))),
% 0.21/0.45 inference(modus_ponens,[status(thm)],[226, 225])).
% 0.21/0.45 tff(228,plain,
% 0.21/0.45 (~smaller(hazard_of_mortality(sk2, sk6), hazard_of_mortality(sk2, sk5))),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[227, 160, 224])).
% 0.21/0.45 tff(229,plain,
% 0.21/0.45 (^[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)))))),
% 0.21/0.45 inference(bind,[status(th)],[])).
% 0.21/0.45 tff(230,plain,
% 0.21/0.45 (![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))))),
% 0.21/0.45 inference(quant_intro,[status(thm)],[229])).
% 0.21/0.45 tff(231,plain,
% 0.21/0.45 (![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))))),
% 0.21/0.45 inference(rewrite,[status(thm)],[])).
% 0.21/0.45 tff(232,plain,
% 0.21/0.45 (^[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)))))),
% 0.21/0.45 inference(bind,[status(th)],[])).
% 0.21/0.45 tff(233,plain,
% 0.21/0.45 (![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))))),
% 0.21/0.45 inference(quant_intro,[status(thm)],[232])).
% 0.21/0.45 tff(234,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')).
% 0.21/0.45 tff(235,plain,
% 0.21/0.45 (![B: $i, A: $i, C: $i] : ((~organization(A)) | greater(external_ties(A, B), external_ties(A, C)) | (~greater(age(A, B), age(A, C))))),
% 0.21/0.45 inference(modus_ponens,[status(thm)],[234, 233])).
% 0.21/0.45 tff(236,plain,
% 0.21/0.45 (![B: $i, A: $i, C: $i] : ((~organization(A)) | greater(external_ties(A, B), external_ties(A, C)) | (~greater(age(A, B), age(A, C))))),
% 0.21/0.45 inference(modus_ponens,[status(thm)],[235, 231])).
% 0.21/0.45 tff(237,plain,(
% 0.21/0.45 ![B: $i, A: $i, C: $i] : ((~organization(A)) | greater(external_ties(A, B), external_ties(A, C)) | (~greater(age(A, B), age(A, C))))),
% 0.21/0.45 inference(skolemize,[status(sab)],[236])).
% 0.21/0.45 tff(238,plain,
% 0.21/0.45 (![B: $i, A: $i, C: $i] : ((~organization(A)) | greater(external_ties(A, B), external_ties(A, C)) | (~greater(age(A, B), age(A, C))))),
% 0.21/0.45 inference(modus_ponens,[status(thm)],[237, 230])).
% 0.21/0.45 tff(239,plain,
% 0.21/0.45 (((~![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(age(sk2, sk6), age(sk2, sk5))) | 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))))) | (~organization(sk2)) | (~greater(age(sk2, sk6), age(sk2, sk5))) | greater(external_ties(sk2, sk6), external_ties(sk2, sk5)))),
% 0.21/0.45 inference(rewrite,[status(thm)],[])).
% 0.21/0.45 tff(240,plain,
% 0.21/0.45 (((~organization(sk2)) | greater(external_ties(sk2, sk6), external_ties(sk2, sk5)) | (~greater(age(sk2, sk6), age(sk2, sk5)))) <=> ((~organization(sk2)) | (~greater(age(sk2, sk6), age(sk2, sk5))) | greater(external_ties(sk2, sk6), external_ties(sk2, sk5)))),
% 0.21/0.45 inference(rewrite,[status(thm)],[])).
% 0.21/0.45 tff(241,plain,
% 0.21/0.45 (((~![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))))) | ((~organization(sk2)) | (~greater(age(sk2, sk6), age(sk2, sk5))) | greater(external_ties(sk2, sk6), external_ties(sk2, sk5))))),
% 0.21/0.45 inference(monotonicity,[status(thm)],[240])).
% 0.21/0.45 tff(242,plain,
% 0.21/0.45 (((~![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))))) | (~organization(sk2)) | (~greater(age(sk2, sk6), age(sk2, sk5))) | greater(external_ties(sk2, sk6), external_ties(sk2, sk5)))),
% 0.21/0.45 inference(transitivity,[status(thm)],[241, 239])).
% 0.21/0.45 tff(243,plain,
% 0.21/0.45 ((~![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))))),
% 0.21/0.45 inference(quant_inst,[status(thm)],[])).
% 0.21/0.45 tff(244,plain,
% 0.21/0.45 ((~![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(age(sk2, sk6), age(sk2, sk5))) | greater(external_ties(sk2, sk6), external_ties(sk2, sk5))),
% 0.21/0.45 inference(modus_ponens,[status(thm)],[243, 242])).
% 0.21/0.45 tff(245,plain,
% 0.21/0.45 (greater(external_ties(sk2, sk6), external_ties(sk2, sk5))),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[244, 238, 4, 23])).
% 0.21/0.45 tff(246,plain,
% 0.21/0.45 (^[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)))))),
% 0.21/0.45 inference(bind,[status(th)],[])).
% 0.21/0.45 tff(247,plain,
% 0.21/0.45 (![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))))),
% 0.21/0.45 inference(quant_intro,[status(thm)],[246])).
% 0.21/0.45 tff(248,plain,
% 0.21/0.45 (![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))))),
% 0.21/0.45 inference(rewrite,[status(thm)],[])).
% 0.21/0.45 tff(249,plain,
% 0.21/0.45 (^[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)))))),
% 0.21/0.45 inference(bind,[status(th)],[])).
% 0.21/0.45 tff(250,plain,
% 0.21/0.45 (![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))))),
% 0.21/0.45 inference(quant_intro,[status(thm)],[249])).
% 0.21/0.45 tff(251,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')).
% 0.21/0.45 tff(252,plain,
% 0.21/0.45 (![B: $i, A: $i, C: $i] : (greater(position(A, B), position(A, C)) | (~organization(A)) | (~greater(external_ties(A, B), external_ties(A, C))))),
% 0.21/0.45 inference(modus_ponens,[status(thm)],[251, 250])).
% 0.21/0.45 tff(253,plain,
% 0.21/0.45 (![B: $i, A: $i, C: $i] : (greater(position(A, B), position(A, C)) | (~organization(A)) | (~greater(external_ties(A, B), external_ties(A, C))))),
% 0.21/0.45 inference(modus_ponens,[status(thm)],[252, 248])).
% 0.21/0.45 tff(254,plain,(
% 0.21/0.45 ![B: $i, A: $i, C: $i] : (greater(position(A, B), position(A, C)) | (~organization(A)) | (~greater(external_ties(A, B), external_ties(A, C))))),
% 0.21/0.45 inference(skolemize,[status(sab)],[253])).
% 0.21/0.45 tff(255,plain,
% 0.21/0.45 (![B: $i, A: $i, C: $i] : (greater(position(A, B), position(A, C)) | (~organization(A)) | (~greater(external_ties(A, B), external_ties(A, C))))),
% 0.21/0.45 inference(modus_ponens,[status(thm)],[254, 247])).
% 0.21/0.45 tff(256,plain,
% 0.21/0.45 (((~![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))))),
% 0.21/0.45 inference(rewrite,[status(thm)],[])).
% 0.21/0.45 tff(257,plain,
% 0.21/0.45 ((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))))),
% 0.21/0.45 inference(rewrite,[status(thm)],[])).
% 0.21/0.45 tff(258,plain,
% 0.21/0.45 (((~![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)))))),
% 0.21/0.45 inference(monotonicity,[status(thm)],[257])).
% 0.21/0.45 tff(259,plain,
% 0.21/0.45 (((~![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))))),
% 0.21/0.45 inference(transitivity,[status(thm)],[258, 256])).
% 0.21/0.45 tff(260,plain,
% 0.21/0.45 ((~![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))))),
% 0.21/0.45 inference(quant_inst,[status(thm)],[])).
% 0.21/0.45 tff(261,plain,
% 0.21/0.45 ((~![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)))),
% 0.21/0.45 inference(modus_ponens,[status(thm)],[260, 259])).
% 0.21/0.45 tff(262,plain,
% 0.21/0.45 (greater(position(sk2, sk6), position(sk2, sk5))),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[261, 255, 4, 245])).
% 0.21/0.45 tff(263,plain,
% 0.21/0.45 (^[B: $i, A: $i] : refl(((~greater(A, B)) | greater_or_equal(A, B)) <=> ((~greater(A, B)) | greater_or_equal(A, B)))),
% 0.21/0.45 inference(bind,[status(th)],[])).
% 0.21/0.45 tff(264,plain,
% 0.21/0.45 (![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B)) <=> ![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))),
% 0.21/0.45 inference(quant_intro,[status(thm)],[263])).
% 0.21/0.45 tff(265,plain,
% 0.21/0.45 (![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B)) <=> ![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))),
% 0.21/0.45 inference(rewrite,[status(thm)],[])).
% 0.21/0.45 tff(266,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')).
% 0.21/0.45 tff(267,plain,
% 0.21/0.45 (![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))),
% 0.21/0.45 inference(modus_ponens,[status(thm)],[266, 265])).
% 0.21/0.45 tff(268,plain,(
% 0.21/0.45 ![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))),
% 0.21/0.45 inference(skolemize,[status(sab)],[267])).
% 0.21/0.45 tff(269,plain,
% 0.21/0.45 (![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))),
% 0.21/0.45 inference(modus_ponens,[status(thm)],[268, 264])).
% 0.21/0.45 tff(270,plain,
% 0.21/0.45 (((~![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)))),
% 0.21/0.45 inference(rewrite,[status(thm)],[])).
% 0.21/0.45 tff(271,plain,
% 0.21/0.45 ((~![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)))),
% 0.21/0.45 inference(quant_inst,[status(thm)],[])).
% 0.21/0.45 tff(272,plain,
% 0.21/0.45 ((~![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))),
% 0.21/0.45 inference(modus_ponens,[status(thm)],[271, 270])).
% 0.21/0.45 tff(273,plain,
% 0.21/0.45 (greater_or_equal(position(sk2, sk6), position(sk2, sk5))),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[272, 269, 262])).
% 0.21/0.45 tff(274,plain,
% 0.21/0.45 (((~![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)))),
% 0.21/0.45 inference(rewrite,[status(thm)],[])).
% 0.21/0.45 tff(275,plain,
% 0.21/0.45 ((~![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)))),
% 0.21/0.45 inference(quant_inst,[status(thm)],[])).
% 0.21/0.45 tff(276,plain,
% 0.21/0.45 ((~![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))),
% 0.21/0.45 inference(modus_ponens,[status(thm)],[275, 274])).
% 0.21/0.45 tff(277,plain,
% 0.21/0.45 (~has_immunity(sk2, sk5)),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[276, 55, 45, 26])).
% 0.21/0.45 tff(278,plain,
% 0.21/0.45 (^[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)))))),
% 0.21/0.45 inference(bind,[status(th)],[])).
% 0.21/0.45 tff(279,plain,
% 0.21/0.45 (![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))))),
% 0.21/0.45 inference(quant_intro,[status(thm)],[278])).
% 0.21/0.45 tff(280,plain,
% 0.21/0.45 (![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))))),
% 0.21/0.45 inference(rewrite,[status(thm)],[])).
% 0.21/0.45 tff(281,plain,
% 0.21/0.45 (^[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))))))),
% 0.21/0.45 inference(bind,[status(th)],[])).
% 0.21/0.45 tff(282,plain,
% 0.21/0.45 (![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))))),
% 0.21/0.45 inference(quant_intro,[status(thm)],[281])).
% 0.21/0.45 tff(283,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')).
% 0.21/0.45 tff(284,plain,
% 0.21/0.45 (![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))))),
% 0.21/0.46 inference(modus_ponens,[status(thm)],[283, 282])).
% 0.21/0.46 tff(285,plain,
% 0.21/0.46 (![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))))),
% 0.21/0.46 inference(modus_ponens,[status(thm)],[284, 280])).
% 0.21/0.46 tff(286,plain,(
% 0.21/0.46 ![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))))),
% 0.21/0.46 inference(skolemize,[status(sab)],[285])).
% 0.21/0.46 tff(287,plain,
% 0.21/0.46 (![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))))),
% 0.21/0.46 inference(modus_ponens,[status(thm)],[286, 279])).
% 0.21/0.46 tff(288,plain,
% 0.21/0.46 (((~![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))))) | ((~organization(sk2)) | has_immunity(sk2, sk5) | has_immunity(sk2, sk6) | 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))))) | (~organization(sk2)) | has_immunity(sk2, sk5) | has_immunity(sk2, sk6) | 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))))),
% 0.21/0.46 inference(rewrite,[status(thm)],[])).
% 0.21/0.46 tff(289,plain,
% 0.21/0.46 ((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)))) <=> ((~organization(sk2)) | has_immunity(sk2, sk5) | has_immunity(sk2, sk6) | 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))))),
% 0.21/0.46 inference(rewrite,[status(thm)],[])).
% 0.21/0.46 tff(290,plain,
% 0.21/0.46 (((~![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))))) | ((~organization(sk2)) | has_immunity(sk2, sk5) | has_immunity(sk2, sk6) | 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)))))),
% 0.21/0.46 inference(monotonicity,[status(thm)],[289])).
% 0.21/0.46 tff(291,plain,
% 0.21/0.46 (((~![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))))) | (~organization(sk2)) | has_immunity(sk2, sk5) | has_immunity(sk2, sk6) | 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))))),
% 0.21/0.46 inference(transitivity,[status(thm)],[290, 288])).
% 0.21/0.46 tff(292,plain,
% 0.21/0.46 ((~![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))))),
% 0.21/0.46 inference(quant_inst,[status(thm)],[])).
% 0.21/0.46 tff(293,plain,
% 0.21/0.46 ((~![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))))) | (~organization(sk2)) | has_immunity(sk2, sk5) | has_immunity(sk2, sk6) | 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)))),
% 0.21/0.46 inference(modus_ponens,[status(thm)],[292, 291])).
% 0.21/0.46 tff(294,plain,
% 0.21/0.46 (smaller(hazard_of_mortality(sk2, sk6), hazard_of_mortality(sk2, sk5)) | (~greater(capability(sk2, sk6), capability(sk2, sk5)))),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[293, 287, 4, 277, 59, 273])).
% 0.21/0.46 tff(295,plain,
% 0.21/0.46 (~greater(capability(sk2, sk6), capability(sk2, sk5))),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[294, 228])).
% 0.21/0.46 tff(296,plain,
% 0.21/0.46 (^[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)))))),
% 0.21/0.46 inference(bind,[status(th)],[])).
% 0.21/0.46 tff(297,plain,
% 0.21/0.46 (![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))))),
% 0.21/0.46 inference(quant_intro,[status(thm)],[296])).
% 0.21/0.46 tff(298,plain,
% 0.21/0.46 (![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))))),
% 0.21/0.46 inference(rewrite,[status(thm)],[])).
% 0.21/0.46 tff(299,plain,
% 0.21/0.46 (^[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)))))),
% 0.21/0.46 inference(bind,[status(th)],[])).
% 0.21/0.46 tff(300,plain,
% 0.21/0.46 (![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))))),
% 0.21/0.46 inference(quant_intro,[status(thm)],[299])).
% 0.21/0.46 tff(301,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')).
% 0.21/0.46 tff(302,plain,
% 0.21/0.46 (![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))))),
% 0.21/0.46 inference(modus_ponens,[status(thm)],[301, 300])).
% 0.21/0.46 tff(303,plain,
% 0.21/0.46 (![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))))),
% 0.21/0.46 inference(modus_ponens,[status(thm)],[302, 298])).
% 0.21/0.46 tff(304,plain,(
% 0.21/0.46 ![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))))),
% 0.21/0.46 inference(skolemize,[status(sab)],[303])).
% 0.21/0.46 tff(305,plain,
% 0.21/0.46 (![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))))),
% 0.21/0.46 inference(modus_ponens,[status(thm)],[304, 297])).
% 0.21/0.46 tff(306,plain,
% 0.21/0.46 (((~![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))))) | (~organization(sk2)) | greater(stock_of_knowledge(sk2, sk6), stock_of_knowledge(sk2, sk5)) | (~greater(age(sk2, sk6), age(sk2, sk5))))),
% 0.21/0.46 inference(rewrite,[status(thm)],[])).
% 0.21/0.46 tff(307,plain,
% 0.21/0.46 ((~![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))))),
% 0.21/0.46 inference(quant_inst,[status(thm)],[])).
% 0.21/0.46 tff(308,plain,
% 0.21/0.46 ((~![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)))),
% 0.21/0.46 inference(modus_ponens,[status(thm)],[307, 306])).
% 0.21/0.46 tff(309,plain,
% 0.21/0.46 (greater(stock_of_knowledge(sk2, sk6), stock_of_knowledge(sk2, sk5))),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[308, 305, 4, 23])).
% 0.21/0.46 tff(310,plain,
% 0.21/0.46 (^[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)))))),
% 0.21/0.46 inference(bind,[status(th)],[])).
% 0.21/0.46 tff(311,plain,
% 0.21/0.46 (![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))))),
% 0.21/0.46 inference(quant_intro,[status(thm)],[310])).
% 0.21/0.46 tff(312,plain,
% 0.21/0.46 (![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))))),
% 0.21/0.46 inference(rewrite,[status(thm)],[])).
% 0.21/0.46 tff(313,plain,
% 0.21/0.46 (^[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))))))),
% 0.21/0.46 inference(bind,[status(th)],[])).
% 0.21/0.46 tff(314,plain,
% 0.21/0.46 (![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))))),
% 0.21/0.46 inference(quant_intro,[status(thm)],[313])).
% 0.21/0.46 tff(315,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')).
% 0.21/0.46 tff(316,plain,
% 0.21/0.46 (![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))))),
% 0.21/0.46 inference(modus_ponens,[status(thm)],[315, 314])).
% 0.21/0.46 tff(317,plain,
% 0.21/0.46 (![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))))),
% 0.21/0.46 inference(modus_ponens,[status(thm)],[316, 312])).
% 0.21/0.46 tff(318,plain,(
% 0.21/0.46 ![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))))),
% 0.21/0.46 inference(skolemize,[status(sab)],[317])).
% 0.21/0.46 tff(319,plain,
% 0.21/0.46 (![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))))),
% 0.21/0.46 inference(modus_ponens,[status(thm)],[318, 311])).
% 0.21/0.46 tff(320,plain,
% 0.21/0.46 (((~![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))))),
% 0.21/0.46 inference(rewrite,[status(thm)],[])).
% 0.21/0.46 tff(321,plain,
% 0.21/0.46 ((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))))),
% 0.21/0.46 inference(rewrite,[status(thm)],[])).
% 0.21/0.46 tff(322,plain,
% 0.21/0.46 (((~![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)))))),
% 0.21/0.46 inference(monotonicity,[status(thm)],[321])).
% 0.21/0.46 tff(323,plain,
% 0.21/0.46 (((~![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))))),
% 0.21/0.46 inference(transitivity,[status(thm)],[322, 320])).
% 0.21/0.46 tff(324,plain,
% 0.21/0.46 ((~![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))))),
% 0.21/0.46 inference(quant_inst,[status(thm)],[])).
% 0.21/0.46 tff(325,plain,
% 0.21/0.46 ((~![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)))),
% 0.21/0.46 inference(modus_ponens,[status(thm)],[324, 323])).
% 0.21/0.46 tff(326,plain,
% 0.21/0.46 (greater(capability(sk2, sk6), capability(sk2, sk5)) | (~smaller_or_equal(internal_friction(sk2, sk6), internal_friction(sk2, sk5)))),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[325, 319, 4, 309])).
% 0.21/0.46 tff(327,plain,
% 0.21/0.46 (~smaller_or_equal(internal_friction(sk2, sk6), internal_friction(sk2, sk5))),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[326, 295])).
% 0.21/0.46 tff(328,plain,
% 0.21/0.46 (~smaller_or_equal(internal_friction(sk2, sk5), internal_friction(sk2, sk5))),
% 0.21/0.46 inference(modus_ponens,[status(thm)],[327, 20])).
% 0.21/0.46 tff(329,plain,
% 0.21/0.46 (((~![B: $i, A: $i] : ((~(A = B)) | smaller_or_equal(A, B))) | smaller_or_equal(internal_friction(sk2, sk5), internal_friction(sk2, sk5))) <=> ((~![B: $i, A: $i] : ((~(A = B)) | smaller_or_equal(A, B))) | smaller_or_equal(internal_friction(sk2, sk5), internal_friction(sk2, sk5)))),
% 0.21/0.46 inference(rewrite,[status(thm)],[])).
% 0.21/0.46 tff(330,plain,
% 0.21/0.46 (($false | smaller_or_equal(internal_friction(sk2, sk5), internal_friction(sk2, sk5))) <=> smaller_or_equal(internal_friction(sk2, sk5), internal_friction(sk2, sk5))),
% 0.21/0.46 inference(rewrite,[status(thm)],[])).
% 0.21/0.46 tff(331,plain,
% 0.21/0.46 ((~$true) <=> $false),
% 0.21/0.46 inference(rewrite,[status(thm)],[])).
% 0.21/0.46 tff(332,plain,
% 0.21/0.46 ((internal_friction(sk2, sk5) = internal_friction(sk2, sk5)) <=> $true),
% 0.21/0.46 inference(rewrite,[status(thm)],[])).
% 0.21/0.46 tff(333,plain,
% 0.21/0.46 ((~(internal_friction(sk2, sk5) = internal_friction(sk2, sk5))) <=> (~$true)),
% 0.21/0.46 inference(monotonicity,[status(thm)],[332])).
% 0.21/0.46 tff(334,plain,
% 0.21/0.46 ((~(internal_friction(sk2, sk5) = internal_friction(sk2, sk5))) <=> $false),
% 0.21/0.46 inference(transitivity,[status(thm)],[333, 331])).
% 0.21/0.46 tff(335,plain,
% 0.21/0.46 (((~(internal_friction(sk2, sk5) = internal_friction(sk2, sk5))) | smaller_or_equal(internal_friction(sk2, sk5), internal_friction(sk2, sk5))) <=> ($false | smaller_or_equal(internal_friction(sk2, sk5), internal_friction(sk2, sk5)))),
% 0.21/0.46 inference(monotonicity,[status(thm)],[334])).
% 0.21/0.46 tff(336,plain,
% 0.21/0.46 (((~(internal_friction(sk2, sk5) = internal_friction(sk2, sk5))) | smaller_or_equal(internal_friction(sk2, sk5), internal_friction(sk2, sk5))) <=> smaller_or_equal(internal_friction(sk2, sk5), internal_friction(sk2, sk5))),
% 0.21/0.46 inference(transitivity,[status(thm)],[335, 330])).
% 0.21/0.46 tff(337,plain,
% 0.21/0.46 (((~![B: $i, A: $i] : ((~(A = B)) | smaller_or_equal(A, B))) | ((~(internal_friction(sk2, sk5) = internal_friction(sk2, sk5))) | smaller_or_equal(internal_friction(sk2, sk5), internal_friction(sk2, sk5)))) <=> ((~![B: $i, A: $i] : ((~(A = B)) | smaller_or_equal(A, B))) | smaller_or_equal(internal_friction(sk2, sk5), internal_friction(sk2, sk5)))),
% 0.21/0.46 inference(monotonicity,[status(thm)],[336])).
% 0.21/0.46 tff(338,plain,
% 0.21/0.46 (((~![B: $i, A: $i] : ((~(A = B)) | smaller_or_equal(A, B))) | ((~(internal_friction(sk2, sk5) = internal_friction(sk2, sk5))) | smaller_or_equal(internal_friction(sk2, sk5), internal_friction(sk2, sk5)))) <=> ((~![B: $i, A: $i] : ((~(A = B)) | smaller_or_equal(A, B))) | smaller_or_equal(internal_friction(sk2, sk5), internal_friction(sk2, sk5)))),
% 0.21/0.46 inference(transitivity,[status(thm)],[337, 329])).
% 0.21/0.46 tff(339,plain,
% 0.21/0.46 ((~![B: $i, A: $i] : ((~(A = B)) | smaller_or_equal(A, B))) | ((~(internal_friction(sk2, sk5) = internal_friction(sk2, sk5))) | smaller_or_equal(internal_friction(sk2, sk5), internal_friction(sk2, sk5)))),
% 0.21/0.46 inference(quant_inst,[status(thm)],[])).
% 0.21/0.46 tff(340,plain,
% 0.21/0.46 ((~![B: $i, A: $i] : ((~(A = B)) | smaller_or_equal(A, B))) | smaller_or_equal(internal_friction(sk2, sk5), internal_friction(sk2, sk5))),
% 0.21/0.47 inference(modus_ponens,[status(thm)],[339, 338])).
% 0.21/0.47 tff(341,plain,
% 0.21/0.47 (smaller_or_equal(internal_friction(sk2, sk5), internal_friction(sk2, sk5))),
% 0.21/0.47 inference(unit_resolution,[status(thm)],[340, 117])).
% 0.21/0.47 tff(342,plain,
% 0.21/0.47 ($false),
% 0.21/0.47 inference(unit_resolution,[status(thm)],[341, 328])).
% 0.21/0.47 % SZS output end Proof
%------------------------------------------------------------------------------