%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : MGT065-1 : TPTP v9.3.0. Released v2.4.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : run_E %s %d THM
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 8 06:24:10 AM UTC 2026
% Result : Unsatisfiable 0.13s 0.41s
% Output : Proof 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT065-1 : TPTP v9.3.0. Released v2.4.0.
% 0.00/0.02 % Command : run_E %s %d THM
% 0.07/0.34 % Computer : n009.cluster.edu
% 0.07/0.34 % Model : x86_64 x86_64
% 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34 % Memory : 8046.5625MB
% 0.07/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/0.34 % CPULimit : 300
% 0.07/0.34 % WCLimit : 300
% 0.07/0.34 % DateTime : Mon Sep 7 13:47:24 UTC 2026
% 0.07/0.34 % CPUTime :
% 0.13/0.41 % SZS status Unsatisfiable
% 0.13/0.41 % SZS output start Proof
% 0.13/0.41 tff(greater_type, type, (
% 0.13/0.41 greater: ( $i * $i ) > $o)).
% 0.13/0.41 tff(very_low_type, type, (
% 0.13/0.41 very_low: $i)).
% 0.13/0.41 tff(high_type, type, (
% 0.13/0.41 high: $i)).
% 0.13/0.41 tff(hazard_of_mortality_type, type, (
% 0.13/0.41 hazard_of_mortality: ( $i * $i ) > $i)).
% 0.13/0.41 tff(sk4_type, type, (
% 0.13/0.41 sk4: $i)).
% 0.13/0.41 tff(sk2_type, type, (
% 0.13/0.41 sk2: $i)).
% 0.13/0.41 tff(sk5_type, type, (
% 0.13/0.41 sk5: $i)).
% 0.13/0.41 tff(has_immunity_type, type, (
% 0.13/0.41 has_immunity: ( $i * $i ) > $o)).
% 0.13/0.41 tff(smaller_or_equal_type, type, (
% 0.13/0.41 smaller_or_equal: ( $i * $i ) > $o)).
% 0.13/0.41 tff(eta_type, type, (
% 0.13/0.41 eta: $i)).
% 0.13/0.41 tff(age_type, type, (
% 0.13/0.41 age: ( $i * $i ) > $i)).
% 0.13/0.41 tff(has_endowment_type, type, (
% 0.13/0.41 has_endowment: $i > $o)).
% 0.13/0.41 tff(organization_type, type, (
% 0.13/0.41 organization: $i > $o)).
% 0.13/0.41 tff(positional_advantage_type, type, (
% 0.13/0.41 positional_advantage: ( $i * $i ) > $o)).
% 0.13/0.41 tff(low_type, type, (
% 0.13/0.41 low: $i)).
% 0.13/0.41 tff(sk3_type, type, (
% 0.13/0.41 sk3: $i)).
% 0.13/0.41 tff(zero_type, type, (
% 0.13/0.41 zero: $i)).
% 0.13/0.41 tff(smaller_type, type, (
% 0.13/0.41 smaller: ( $i * $i ) > $o)).
% 0.13/0.41 tff(is_aligned_type, type, (
% 0.13/0.41 is_aligned: ( $i * $i ) > $o)).
% 0.13/0.41 tff(mod1_type, type, (
% 0.13/0.41 mod1: $i)).
% 0.13/0.41 tff(mod2_type, type, (
% 0.13/0.41 mod2: $i)).
% 0.13/0.41 tff(1,plain,
% 0.13/0.41 (smaller_or_equal(age(sk2, sk4), eta) <=> smaller_or_equal(age(sk2, sk4), eta)),
% 0.13/0.41 inference(rewrite,[status(thm)],[])).
% 0.13/0.41 tff(2,axiom,(smaller_or_equal(age(sk2, sk4), eta)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','theorem_11_76')).
% 0.13/0.41 tff(3,plain,
% 0.13/0.41 (smaller_or_equal(age(sk2, sk4), eta)),
% 0.13/0.41 inference(modus_ponens,[status(thm)],[2, 1])).
% 0.13/0.41 tff(4,plain,
% 0.13/0.41 (has_endowment(sk2) <=> has_endowment(sk2)),
% 0.13/0.41 inference(rewrite,[status(thm)],[])).
% 0.13/0.41 tff(5,axiom,(has_endowment(sk2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','theorem_11_69')).
% 0.13/0.41 tff(6,plain,
% 0.13/0.41 (has_endowment(sk2)),
% 0.13/0.41 inference(modus_ponens,[status(thm)],[5, 4])).
% 0.13/0.41 tff(7,plain,
% 0.13/0.41 (^[B: $i, A: $i] : refl(((~has_endowment(A)) | has_immunity(A, B) | (~smaller_or_equal(age(A, B), eta))) <=> ((~has_endowment(A)) | has_immunity(A, B) | (~smaller_or_equal(age(A, B), eta))))),
% 0.13/0.41 inference(bind,[status(th)],[])).
% 0.13/0.41 tff(8,plain,
% 0.13/0.41 (![B: $i, A: $i] : ((~has_endowment(A)) | has_immunity(A, B) | (~smaller_or_equal(age(A, B), eta))) <=> ![B: $i, A: $i] : ((~has_endowment(A)) | has_immunity(A, B) | (~smaller_or_equal(age(A, B), eta)))),
% 0.13/0.41 inference(quant_intro,[status(thm)],[7])).
% 0.13/0.41 tff(9,plain,
% 0.13/0.41 (![B: $i, A: $i] : ((~has_endowment(A)) | has_immunity(A, B) | (~smaller_or_equal(age(A, B), eta))) <=> ![B: $i, A: $i] : ((~has_endowment(A)) | has_immunity(A, B) | (~smaller_or_equal(age(A, B), eta)))),
% 0.13/0.41 inference(rewrite,[status(thm)],[])).
% 0.13/0.41 tff(10,plain,
% 0.13/0.41 (^[B: $i, A: $i] : rewrite((((~has_endowment(A)) | (~smaller_or_equal(age(A, B), eta))) | has_immunity(A, B)) <=> ((~has_endowment(A)) | has_immunity(A, B) | (~smaller_or_equal(age(A, B), eta))))),
% 0.13/0.41 inference(bind,[status(th)],[])).
% 0.13/0.41 tff(11,plain,
% 0.13/0.41 (![B: $i, A: $i] : (((~has_endowment(A)) | (~smaller_or_equal(age(A, B), eta))) | has_immunity(A, B)) <=> ![B: $i, A: $i] : ((~has_endowment(A)) | has_immunity(A, B) | (~smaller_or_equal(age(A, B), eta)))),
% 0.13/0.41 inference(quant_intro,[status(thm)],[10])).
% 0.13/0.41 tff(12,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_41')).
% 0.13/0.41 tff(13,plain,
% 0.13/0.41 (![B: $i, A: $i] : ((~has_endowment(A)) | has_immunity(A, B) | (~smaller_or_equal(age(A, B), eta)))),
% 0.13/0.41 inference(modus_ponens,[status(thm)],[12, 11])).
% 0.13/0.41 tff(14,plain,
% 0.13/0.41 (![B: $i, A: $i] : ((~has_endowment(A)) | has_immunity(A, B) | (~smaller_or_equal(age(A, B), eta)))),
% 0.13/0.41 inference(modus_ponens,[status(thm)],[13, 9])).
% 0.13/0.41 tff(15,plain,(
% 0.13/0.41 ![B: $i, A: $i] : ((~has_endowment(A)) | has_immunity(A, B) | (~smaller_or_equal(age(A, B), eta)))),
% 0.13/0.41 inference(skolemize,[status(sab)],[14])).
% 0.13/0.41 tff(16,plain,
% 0.13/0.41 (![B: $i, A: $i] : ((~has_endowment(A)) | has_immunity(A, B) | (~smaller_or_equal(age(A, B), eta)))),
% 0.13/0.41 inference(modus_ponens,[status(thm)],[15, 8])).
% 0.13/0.41 tff(17,plain,
% 0.13/0.41 (((~![B: $i, A: $i] : ((~has_endowment(A)) | has_immunity(A, B) | (~smaller_or_equal(age(A, B), eta)))) | ((~smaller_or_equal(age(sk2, sk4), eta)) | (~has_endowment(sk2)) | has_immunity(sk2, sk4))) <=> ((~![B: $i, A: $i] : ((~has_endowment(A)) | has_immunity(A, B) | (~smaller_or_equal(age(A, B), eta)))) | (~smaller_or_equal(age(sk2, sk4), eta)) | (~has_endowment(sk2)) | has_immunity(sk2, sk4))),
% 0.13/0.42 inference(rewrite,[status(thm)],[])).
% 0.13/0.42 tff(18,plain,
% 0.13/0.42 (((~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))),
% 0.13/0.42 inference(rewrite,[status(thm)],[])).
% 0.13/0.42 tff(19,plain,
% 0.13/0.42 (((~![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)))),
% 0.13/0.42 inference(monotonicity,[status(thm)],[18])).
% 0.13/0.42 tff(20,plain,
% 0.13/0.42 (((~![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))),
% 0.13/0.42 inference(transitivity,[status(thm)],[19, 17])).
% 0.13/0.42 tff(21,plain,
% 0.13/0.42 ((~![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)))),
% 0.13/0.42 inference(quant_inst,[status(thm)],[])).
% 0.13/0.42 tff(22,plain,
% 0.13/0.42 ((~![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)),
% 0.13/0.42 inference(modus_ponens,[status(thm)],[21, 20])).
% 0.13/0.42 tff(23,plain,
% 0.13/0.42 (has_immunity(sk2, sk4)),
% 0.13/0.42 inference(unit_resolution,[status(thm)],[22, 16, 6, 3])).
% 0.13/0.42 tff(24,plain,
% 0.13/0.42 (organization(sk2) <=> organization(sk2)),
% 0.13/0.42 inference(rewrite,[status(thm)],[])).
% 0.13/0.42 tff(25,axiom,(organization(sk2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','theorem_11_67')).
% 0.13/0.42 tff(26,plain,
% 0.13/0.42 (organization(sk2)),
% 0.13/0.42 inference(modus_ponens,[status(thm)],[25, 24])).
% 0.13/0.42 tff(27,plain,
% 0.13/0.42 (^[B: $i, A: $i] : refl(((~has_immunity(A, B)) | (~organization(A)) | (hazard_of_mortality(A, B) = very_low)) <=> ((~has_immunity(A, B)) | (~organization(A)) | (hazard_of_mortality(A, B) = very_low)))),
% 0.13/0.42 inference(bind,[status(th)],[])).
% 0.13/0.42 tff(28,plain,
% 0.13/0.42 (![B: $i, A: $i] : ((~has_immunity(A, B)) | (~organization(A)) | (hazard_of_mortality(A, B) = very_low)) <=> ![B: $i, A: $i] : ((~has_immunity(A, B)) | (~organization(A)) | (hazard_of_mortality(A, B) = very_low))),
% 0.13/0.42 inference(quant_intro,[status(thm)],[27])).
% 0.13/0.42 tff(29,plain,
% 0.13/0.42 (![B: $i, A: $i] : ((~has_immunity(A, B)) | (~organization(A)) | (hazard_of_mortality(A, B) = very_low)) <=> ![B: $i, A: $i] : ((~has_immunity(A, B)) | (~organization(A)) | (hazard_of_mortality(A, B) = very_low))),
% 0.13/0.42 inference(rewrite,[status(thm)],[])).
% 0.13/0.42 tff(30,plain,
% 0.13/0.42 (^[B: $i, A: $i] : rewrite((((~organization(A)) | (~has_immunity(A, B))) | (hazard_of_mortality(A, B) = very_low)) <=> ((~has_immunity(A, B)) | (~organization(A)) | (hazard_of_mortality(A, B) = very_low)))),
% 0.13/0.42 inference(bind,[status(th)],[])).
% 0.13/0.42 tff(31,plain,
% 0.13/0.42 (![B: $i, A: $i] : (((~organization(A)) | (~has_immunity(A, B))) | (hazard_of_mortality(A, B) = very_low)) <=> ![B: $i, A: $i] : ((~has_immunity(A, B)) | (~organization(A)) | (hazard_of_mortality(A, B) = very_low))),
% 0.13/0.42 inference(quant_intro,[status(thm)],[30])).
% 0.13/0.42 tff(32,axiom,(![B: $i, A: $i] : (((~organization(A)) | (~has_immunity(A, B))) | (hazard_of_mortality(A, B) = very_low))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','assumption_17_57')).
% 0.13/0.42 tff(33,plain,
% 0.13/0.42 (![B: $i, A: $i] : ((~has_immunity(A, B)) | (~organization(A)) | (hazard_of_mortality(A, B) = very_low))),
% 0.13/0.42 inference(modus_ponens,[status(thm)],[32, 31])).
% 0.13/0.42 tff(34,plain,
% 0.13/0.42 (![B: $i, A: $i] : ((~has_immunity(A, B)) | (~organization(A)) | (hazard_of_mortality(A, B) = very_low))),
% 0.13/0.42 inference(modus_ponens,[status(thm)],[33, 29])).
% 0.13/0.42 tff(35,plain,(
% 0.13/0.42 ![B: $i, A: $i] : ((~has_immunity(A, B)) | (~organization(A)) | (hazard_of_mortality(A, B) = very_low))),
% 0.13/0.42 inference(skolemize,[status(sab)],[34])).
% 0.13/0.42 tff(36,plain,
% 0.13/0.42 (![B: $i, A: $i] : ((~has_immunity(A, B)) | (~organization(A)) | (hazard_of_mortality(A, B) = very_low))),
% 0.13/0.42 inference(modus_ponens,[status(thm)],[35, 28])).
% 0.13/0.42 tff(37,plain,
% 0.13/0.42 (((~![B: $i, A: $i] : ((~has_immunity(A, B)) | (~organization(A)) | (hazard_of_mortality(A, B) = very_low))) | ((~organization(sk2)) | (~has_immunity(sk2, sk4)) | (hazard_of_mortality(sk2, sk4) = very_low))) <=> ((~![B: $i, A: $i] : ((~has_immunity(A, B)) | (~organization(A)) | (hazard_of_mortality(A, B) = very_low))) | (~organization(sk2)) | (~has_immunity(sk2, sk4)) | (hazard_of_mortality(sk2, sk4) = very_low))),
% 0.13/0.42 inference(rewrite,[status(thm)],[])).
% 0.13/0.42 tff(38,plain,
% 0.13/0.42 (((~has_immunity(sk2, sk4)) | (~organization(sk2)) | (hazard_of_mortality(sk2, sk4) = very_low)) <=> ((~organization(sk2)) | (~has_immunity(sk2, sk4)) | (hazard_of_mortality(sk2, sk4) = very_low))),
% 0.13/0.42 inference(rewrite,[status(thm)],[])).
% 0.13/0.42 tff(39,plain,
% 0.13/0.42 (((~![B: $i, A: $i] : ((~has_immunity(A, B)) | (~organization(A)) | (hazard_of_mortality(A, B) = very_low))) | ((~has_immunity(sk2, sk4)) | (~organization(sk2)) | (hazard_of_mortality(sk2, sk4) = very_low))) <=> ((~![B: $i, A: $i] : ((~has_immunity(A, B)) | (~organization(A)) | (hazard_of_mortality(A, B) = very_low))) | ((~organization(sk2)) | (~has_immunity(sk2, sk4)) | (hazard_of_mortality(sk2, sk4) = very_low)))),
% 0.13/0.42 inference(monotonicity,[status(thm)],[38])).
% 0.13/0.42 tff(40,plain,
% 0.13/0.42 (((~![B: $i, A: $i] : ((~has_immunity(A, B)) | (~organization(A)) | (hazard_of_mortality(A, B) = very_low))) | ((~has_immunity(sk2, sk4)) | (~organization(sk2)) | (hazard_of_mortality(sk2, sk4) = very_low))) <=> ((~![B: $i, A: $i] : ((~has_immunity(A, B)) | (~organization(A)) | (hazard_of_mortality(A, B) = very_low))) | (~organization(sk2)) | (~has_immunity(sk2, sk4)) | (hazard_of_mortality(sk2, sk4) = very_low))),
% 0.13/0.42 inference(transitivity,[status(thm)],[39, 37])).
% 0.13/0.42 tff(41,plain,
% 0.13/0.42 ((~![B: $i, A: $i] : ((~has_immunity(A, B)) | (~organization(A)) | (hazard_of_mortality(A, B) = very_low))) | ((~has_immunity(sk2, sk4)) | (~organization(sk2)) | (hazard_of_mortality(sk2, sk4) = very_low))),
% 0.13/0.42 inference(quant_inst,[status(thm)],[])).
% 0.13/0.42 tff(42,plain,
% 0.13/0.42 ((~![B: $i, A: $i] : ((~has_immunity(A, B)) | (~organization(A)) | (hazard_of_mortality(A, B) = very_low))) | (~organization(sk2)) | (~has_immunity(sk2, sk4)) | (hazard_of_mortality(sk2, sk4) = very_low)),
% 0.13/0.42 inference(modus_ponens,[status(thm)],[41, 40])).
% 0.13/0.42 tff(43,plain,
% 0.13/0.42 (hazard_of_mortality(sk2, sk4) = very_low),
% 0.13/0.42 inference(unit_resolution,[status(thm)],[42, 36, 26, 23])).
% 0.13/0.42 tff(44,plain,
% 0.13/0.42 (very_low = hazard_of_mortality(sk2, sk4)),
% 0.13/0.42 inference(symmetry,[status(thm)],[43])).
% 0.13/0.42 tff(45,assumption,(hazard_of_mortality(sk2, sk5) = low), introduced(assumption)).
% 0.13/0.42 tff(46,plain,
% 0.13/0.42 (low = hazard_of_mortality(sk2, sk5)),
% 0.13/0.42 inference(symmetry,[status(thm)],[45])).
% 0.13/0.42 tff(47,plain,
% 0.13/0.42 (greater(low, very_low) <=> greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4))),
% 0.13/0.42 inference(monotonicity,[status(thm)],[46, 44])).
% 0.13/0.42 tff(48,plain,
% 0.13/0.42 (greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4)) <=> greater(low, very_low)),
% 0.13/0.42 inference(symmetry,[status(thm)],[47])).
% 0.13/0.42 tff(49,plain,
% 0.13/0.42 ((~greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4))) <=> (~greater(low, very_low))),
% 0.13/0.42 inference(monotonicity,[status(thm)],[48])).
% 0.13/0.42 tff(50,plain,
% 0.13/0.42 ((age(sk2, sk3) = zero) <=> (age(sk2, sk3) = zero)),
% 0.13/0.42 inference(rewrite,[status(thm)],[])).
% 0.13/0.42 tff(51,axiom,(age(sk2, sk3) = zero), file('/export/starexec/sandbox/benchmark/theBenchmark.p','theorem_11_70')).
% 0.13/0.42 tff(52,plain,
% 0.13/0.42 (age(sk2, sk3) = zero),
% 0.13/0.42 inference(modus_ponens,[status(thm)],[51, 50])).
% 0.13/0.42 tff(53,plain,
% 0.13/0.42 (zero = age(sk2, sk3)),
% 0.13/0.42 inference(symmetry,[status(thm)],[52])).
% 0.13/0.42 tff(54,plain,
% 0.13/0.42 (smaller_or_equal(zero, eta) <=> smaller_or_equal(age(sk2, sk3), eta)),
% 0.13/0.42 inference(monotonicity,[status(thm)],[53])).
% 0.13/0.42 tff(55,plain,
% 0.13/0.42 (greater(eta, zero) <=> greater(eta, zero)),
% 0.13/0.42 inference(rewrite,[status(thm)],[])).
% 0.13/0.42 tff(56,axiom,(greater(eta, zero)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','theorem_11_73')).
% 0.13/0.42 tff(57,plain,
% 0.13/0.42 (greater(eta, zero)),
% 0.13/0.42 inference(modus_ponens,[status(thm)],[56, 55])).
% 0.13/0.42 tff(58,plain,
% 0.13/0.42 (^[B: $i, A: $i] : refl(((~greater(A, B)) | smaller(B, A)) <=> ((~greater(A, B)) | smaller(B, A)))),
% 0.13/0.42 inference(bind,[status(th)],[])).
% 0.13/0.42 tff(59,plain,
% 0.13/0.42 (![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A)) <=> ![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))),
% 0.13/0.42 inference(quant_intro,[status(thm)],[58])).
% 0.13/0.42 tff(60,plain,
% 0.13/0.42 (![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A)) <=> ![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))),
% 0.13/0.42 inference(rewrite,[status(thm)],[])).
% 0.13/0.42 tff(61,axiom,(![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))), file('/export/starexec/sandbox/benchmark/Axioms/MGT001-0.ax','definition_smaller_8')).
% 0.13/0.42 tff(62,plain,
% 0.13/0.42 (![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))),
% 0.13/0.42 inference(modus_ponens,[status(thm)],[61, 60])).
% 0.13/0.42 tff(63,plain,(
% 0.13/0.42 ![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))),
% 0.13/0.42 inference(skolemize,[status(sab)],[62])).
% 0.13/0.42 tff(64,plain,
% 0.13/0.42 (![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))),
% 0.13/0.42 inference(modus_ponens,[status(thm)],[63, 59])).
% 0.13/0.42 tff(65,plain,
% 0.13/0.42 (((~![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))) | ((~greater(eta, zero)) | smaller(zero, eta))) <=> ((~![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))) | (~greater(eta, zero)) | smaller(zero, eta))),
% 0.13/0.42 inference(rewrite,[status(thm)],[])).
% 0.13/0.42 tff(66,plain,
% 0.13/0.42 ((~![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))) | ((~greater(eta, zero)) | smaller(zero, eta))),
% 0.13/0.42 inference(quant_inst,[status(thm)],[])).
% 0.13/0.42 tff(67,plain,
% 0.13/0.42 ((~![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))) | (~greater(eta, zero)) | smaller(zero, eta)),
% 0.13/0.42 inference(modus_ponens,[status(thm)],[66, 65])).
% 0.13/0.42 tff(68,plain,
% 0.13/0.42 (smaller(zero, eta)),
% 0.13/0.42 inference(unit_resolution,[status(thm)],[67, 64, 57])).
% 0.13/0.42 tff(69,plain,
% 0.13/0.42 (^[B: $i, A: $i] : refl(((~smaller(A, B)) | smaller_or_equal(A, B)) <=> ((~smaller(A, B)) | smaller_or_equal(A, B)))),
% 0.13/0.42 inference(bind,[status(th)],[])).
% 0.13/0.42 tff(70,plain,
% 0.13/0.42 (![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B)) <=> ![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B))),
% 0.13/0.42 inference(quant_intro,[status(thm)],[69])).
% 0.13/0.42 tff(71,plain,
% 0.13/0.42 (![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B)) <=> ![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B))),
% 0.13/0.42 inference(rewrite,[status(thm)],[])).
% 0.13/0.42 tff(72,axiom,(![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B))), file('/export/starexec/sandbox/benchmark/Axioms/MGT001-0.ax','definition_smaller_or_equal_2')).
% 0.13/0.42 tff(73,plain,
% 0.13/0.42 (![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B))),
% 0.13/0.42 inference(modus_ponens,[status(thm)],[72, 71])).
% 0.13/0.42 tff(74,plain,(
% 0.13/0.42 ![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B))),
% 0.13/0.42 inference(skolemize,[status(sab)],[73])).
% 0.13/0.42 tff(75,plain,
% 0.13/0.42 (![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B))),
% 0.13/0.42 inference(modus_ponens,[status(thm)],[74, 70])).
% 0.13/0.42 tff(76,plain,
% 0.13/0.42 (((~![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B))) | ((~smaller(zero, eta)) | smaller_or_equal(zero, eta))) <=> ((~![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B))) | (~smaller(zero, eta)) | smaller_or_equal(zero, eta))),
% 0.13/0.42 inference(rewrite,[status(thm)],[])).
% 0.13/0.42 tff(77,plain,
% 0.13/0.42 ((~![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B))) | ((~smaller(zero, eta)) | smaller_or_equal(zero, eta))),
% 0.13/0.42 inference(quant_inst,[status(thm)],[])).
% 0.13/0.42 tff(78,plain,
% 0.13/0.42 ((~![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B))) | (~smaller(zero, eta)) | smaller_or_equal(zero, eta)),
% 0.13/0.42 inference(modus_ponens,[status(thm)],[77, 76])).
% 0.13/0.42 tff(79,plain,
% 0.13/0.42 (smaller_or_equal(zero, eta)),
% 0.13/0.42 inference(unit_resolution,[status(thm)],[78, 75, 68])).
% 0.13/0.42 tff(80,plain,
% 0.13/0.42 (smaller_or_equal(age(sk2, sk3), eta)),
% 0.13/0.42 inference(modus_ponens,[status(thm)],[79, 54])).
% 0.13/0.42 tff(81,plain,
% 0.13/0.42 (((~![B: $i, A: $i] : ((~has_endowment(A)) | has_immunity(A, B) | (~smaller_or_equal(age(A, B), eta)))) | ((~has_endowment(sk2)) | has_immunity(sk2, 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)))),
% 0.13/0.42 inference(rewrite,[status(thm)],[])).
% 0.13/0.42 tff(82,plain,
% 0.13/0.42 ((~![B: $i, A: $i] : ((~has_endowment(A)) | has_immunity(A, B) | (~smaller_or_equal(age(A, B), eta)))) | ((~has_endowment(sk2)) | has_immunity(sk2, sk3) | (~smaller_or_equal(age(sk2, sk3), eta)))),
% 0.13/0.42 inference(quant_inst,[status(thm)],[])).
% 0.13/0.42 tff(83,plain,
% 0.13/0.42 ((~![B: $i, A: $i] : ((~has_endowment(A)) | has_immunity(A, B) | (~smaller_or_equal(age(A, B), eta)))) | (~has_endowment(sk2)) | has_immunity(sk2, sk3) | (~smaller_or_equal(age(sk2, sk3), eta))),
% 0.13/0.42 inference(modus_ponens,[status(thm)],[82, 81])).
% 0.13/0.42 tff(84,plain,
% 0.13/0.42 (has_immunity(sk2, sk3) | (~smaller_or_equal(age(sk2, sk3), eta))),
% 0.13/0.42 inference(unit_resolution,[status(thm)],[83, 16, 6])).
% 0.13/0.42 tff(85,plain,
% 0.13/0.42 (has_immunity(sk2, sk3)),
% 0.13/0.42 inference(unit_resolution,[status(thm)],[84, 80])).
% 0.13/0.42 tff(86,plain,
% 0.13/0.42 (((~![B: $i, A: $i] : ((~has_immunity(A, B)) | (~organization(A)) | (hazard_of_mortality(A, B) = very_low))) | ((~organization(sk2)) | (~has_immunity(sk2, sk3)) | (hazard_of_mortality(sk2, sk3) = very_low))) <=> ((~![B: $i, A: $i] : ((~has_immunity(A, B)) | (~organization(A)) | (hazard_of_mortality(A, B) = very_low))) | (~organization(sk2)) | (~has_immunity(sk2, sk3)) | (hazard_of_mortality(sk2, sk3) = very_low))),
% 0.13/0.42 inference(rewrite,[status(thm)],[])).
% 0.13/0.42 tff(87,plain,
% 0.13/0.42 (((~has_immunity(sk2, sk3)) | (~organization(sk2)) | (hazard_of_mortality(sk2, sk3) = very_low)) <=> ((~organization(sk2)) | (~has_immunity(sk2, sk3)) | (hazard_of_mortality(sk2, sk3) = very_low))),
% 0.13/0.42 inference(rewrite,[status(thm)],[])).
% 0.13/0.42 tff(88,plain,
% 0.13/0.42 (((~![B: $i, A: $i] : ((~has_immunity(A, B)) | (~organization(A)) | (hazard_of_mortality(A, B) = very_low))) | ((~has_immunity(sk2, sk3)) | (~organization(sk2)) | (hazard_of_mortality(sk2, sk3) = very_low))) <=> ((~![B: $i, A: $i] : ((~has_immunity(A, B)) | (~organization(A)) | (hazard_of_mortality(A, B) = very_low))) | ((~organization(sk2)) | (~has_immunity(sk2, sk3)) | (hazard_of_mortality(sk2, sk3) = very_low)))),
% 0.13/0.42 inference(monotonicity,[status(thm)],[87])).
% 0.13/0.42 tff(89,plain,
% 0.13/0.42 (((~![B: $i, A: $i] : ((~has_immunity(A, B)) | (~organization(A)) | (hazard_of_mortality(A, B) = very_low))) | ((~has_immunity(sk2, sk3)) | (~organization(sk2)) | (hazard_of_mortality(sk2, sk3) = very_low))) <=> ((~![B: $i, A: $i] : ((~has_immunity(A, B)) | (~organization(A)) | (hazard_of_mortality(A, B) = very_low))) | (~organization(sk2)) | (~has_immunity(sk2, sk3)) | (hazard_of_mortality(sk2, sk3) = very_low))),
% 0.13/0.42 inference(transitivity,[status(thm)],[88, 86])).
% 0.13/0.42 tff(90,plain,
% 0.13/0.42 ((~![B: $i, A: $i] : ((~has_immunity(A, B)) | (~organization(A)) | (hazard_of_mortality(A, B) = very_low))) | ((~has_immunity(sk2, sk3)) | (~organization(sk2)) | (hazard_of_mortality(sk2, sk3) = very_low))),
% 0.13/0.42 inference(quant_inst,[status(thm)],[])).
% 0.13/0.42 tff(91,plain,
% 0.13/0.42 ((~![B: $i, A: $i] : ((~has_immunity(A, B)) | (~organization(A)) | (hazard_of_mortality(A, B) = very_low))) | (~organization(sk2)) | (~has_immunity(sk2, sk3)) | (hazard_of_mortality(sk2, sk3) = very_low)),
% 0.13/0.42 inference(modus_ponens,[status(thm)],[90, 89])).
% 0.13/0.42 tff(92,plain,
% 0.13/0.42 (hazard_of_mortality(sk2, sk3) = very_low),
% 0.13/0.42 inference(unit_resolution,[status(thm)],[91, 36, 26, 85])).
% 0.13/0.42 tff(93,plain,
% 0.13/0.42 (very_low = hazard_of_mortality(sk2, sk3)),
% 0.13/0.42 inference(symmetry,[status(thm)],[92])).
% 0.13/0.42 tff(94,plain,
% 0.13/0.42 (hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3)),
% 0.13/0.43 inference(transitivity,[status(thm)],[43, 93])).
% 0.13/0.43 tff(95,plain,
% 0.13/0.43 (((~greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4))) | (~(hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3)))) <=> ((~greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4))) | (~(hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3))))),
% 0.13/0.43 inference(rewrite,[status(thm)],[])).
% 0.13/0.43 tff(96,axiom,((~greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4))) | (~(hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','theorem_11_80')).
% 0.13/0.43 tff(97,plain,
% 0.13/0.43 ((~greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4))) | (~(hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3)))),
% 0.13/0.43 inference(modus_ponens,[status(thm)],[96, 95])).
% 0.13/0.43 tff(98,plain,
% 0.13/0.43 ((~greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4))) | (~(hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3)))),
% 0.13/0.43 inference(modus_ponens,[status(thm)],[97, 95])).
% 0.13/0.43 tff(99,plain,
% 0.13/0.43 ((~greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4))) | (~(hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3)))),
% 0.13/0.43 inference(modus_ponens,[status(thm)],[98, 95])).
% 0.13/0.43 tff(100,plain,
% 0.13/0.43 ((~greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4))) | (~(hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3)))),
% 0.13/0.43 inference(modus_ponens,[status(thm)],[99, 95])).
% 0.13/0.43 tff(101,plain,
% 0.13/0.43 ((~greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4))) | (~(hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3)))),
% 0.13/0.43 inference(modus_ponens,[status(thm)],[100, 95])).
% 0.13/0.43 tff(102,plain,
% 0.13/0.43 (~greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4))),
% 0.13/0.43 inference(unit_resolution,[status(thm)],[101, 94])).
% 0.13/0.43 tff(103,plain,
% 0.13/0.43 (~greater(low, very_low)),
% 0.13/0.43 inference(modus_ponens,[status(thm)],[102, 49])).
% 0.13/0.43 tff(104,plain,
% 0.13/0.43 (greater(low, very_low) <=> greater(low, very_low)),
% 0.13/0.43 inference(rewrite,[status(thm)],[])).
% 0.13/0.43 tff(105,axiom,(greater(low, very_low)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','assumption_18c_64')).
% 0.13/0.43 tff(106,plain,
% 0.13/0.43 (greater(low, very_low)),
% 0.13/0.43 inference(modus_ponens,[status(thm)],[105, 104])).
% 0.13/0.43 tff(107,plain,
% 0.13/0.43 ($false),
% 0.13/0.43 inference(unit_resolution,[status(thm)],[106, 103])).
% 0.13/0.43 tff(108,plain,(~(hazard_of_mortality(sk2, sk5) = low)), inference(lemma,lemma(discharge,[]))).
% 0.13/0.43 tff(109,assumption,(positional_advantage(sk2, sk5)), introduced(assumption)).
% 0.13/0.43 tff(110,assumption,(hazard_of_mortality(sk2, sk5) = mod1), introduced(assumption)).
% 0.13/0.43 tff(111,plain,
% 0.13/0.43 (mod1 = hazard_of_mortality(sk2, sk5)),
% 0.13/0.43 inference(symmetry,[status(thm)],[110])).
% 0.13/0.43 tff(112,plain,
% 0.13/0.43 (greater(mod1, very_low) <=> greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4))),
% 0.13/0.43 inference(monotonicity,[status(thm)],[111, 44])).
% 0.13/0.43 tff(113,plain,
% 0.13/0.43 (greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4)) <=> greater(mod1, very_low)),
% 0.13/0.43 inference(symmetry,[status(thm)],[112])).
% 0.13/0.43 tff(114,plain,
% 0.13/0.43 ((~greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4))) <=> (~greater(mod1, very_low))),
% 0.13/0.43 inference(monotonicity,[status(thm)],[113])).
% 0.13/0.43 tff(115,plain,
% 0.13/0.43 (~greater(mod1, very_low)),
% 0.13/0.43 inference(modus_ponens,[status(thm)],[102, 114])).
% 0.13/0.43 tff(116,plain,
% 0.13/0.43 (greater(mod1, low) <=> greater(mod1, low)),
% 0.13/0.43 inference(rewrite,[status(thm)],[])).
% 0.13/0.43 tff(117,axiom,(greater(mod1, low)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','assumption_18b_63')).
% 0.13/0.43 tff(118,plain,
% 0.13/0.43 (greater(mod1, low)),
% 0.13/0.43 inference(modus_ponens,[status(thm)],[117, 116])).
% 0.13/0.43 tff(119,plain,
% 0.13/0.43 (![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B))) <=> ![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))),
% 0.13/0.43 inference(rewrite,[status(thm)],[])).
% 0.13/0.43 tff(120,plain,
% 0.13/0.43 (![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B))) <=> ![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))),
% 0.13/0.43 inference(rewrite,[status(thm)],[])).
% 0.13/0.43 tff(121,plain,
% 0.13/0.43 (^[B: $i, A: $i, C: $i] : rewrite((((~greater(A, B)) | (~greater(B, C))) | greater(A, C)) <=> (greater(A, C) | (~greater(B, C)) | (~greater(A, B))))),
% 0.13/0.43 inference(bind,[status(th)],[])).
% 0.13/0.43 tff(122,plain,
% 0.13/0.43 (![B: $i, A: $i, C: $i] : (((~greater(A, B)) | (~greater(B, C))) | greater(A, C)) <=> ![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))),
% 0.13/0.43 inference(quant_intro,[status(thm)],[121])).
% 0.13/0.43 tff(123,axiom,(![B: $i, A: $i, C: $i] : (((~greater(A, B)) | (~greater(B, C))) | greater(A, C))), file('/export/starexec/sandbox/benchmark/Axioms/MGT001-0.ax','meaning_postulate_greater_transitive_10')).
% 0.13/0.43 tff(124,plain,
% 0.13/0.43 (![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))),
% 0.13/0.43 inference(modus_ponens,[status(thm)],[123, 122])).
% 0.13/0.43 tff(125,plain,
% 0.13/0.43 (![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))),
% 0.13/0.43 inference(modus_ponens,[status(thm)],[124, 120])).
% 0.13/0.43 tff(126,plain,(
% 0.13/0.43 ![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))),
% 0.13/0.43 inference(skolemize,[status(sab)],[125])).
% 0.13/0.43 tff(127,plain,
% 0.13/0.43 (![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))),
% 0.13/0.43 inference(modus_ponens,[status(thm)],[126, 119])).
% 0.13/0.43 tff(128,plain,
% 0.13/0.43 (((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | ((~greater(mod1, low)) | greater(mod1, very_low) | (~greater(low, very_low)))) <=> ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (~greater(mod1, low)) | greater(mod1, very_low) | (~greater(low, very_low)))),
% 0.13/0.43 inference(rewrite,[status(thm)],[])).
% 0.13/0.43 tff(129,plain,
% 0.13/0.43 ((greater(mod1, very_low) | (~greater(low, very_low)) | (~greater(mod1, low))) <=> ((~greater(mod1, low)) | greater(mod1, very_low) | (~greater(low, very_low)))),
% 0.13/0.43 inference(rewrite,[status(thm)],[])).
% 0.13/0.43 tff(130,plain,
% 0.13/0.43 (((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(mod1, very_low) | (~greater(low, very_low)) | (~greater(mod1, low)))) <=> ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | ((~greater(mod1, low)) | greater(mod1, very_low) | (~greater(low, very_low))))),
% 0.13/0.43 inference(monotonicity,[status(thm)],[129])).
% 0.13/0.43 tff(131,plain,
% 0.13/0.43 (((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(mod1, very_low) | (~greater(low, very_low)) | (~greater(mod1, low)))) <=> ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (~greater(mod1, low)) | greater(mod1, very_low) | (~greater(low, very_low)))),
% 0.13/0.43 inference(transitivity,[status(thm)],[130, 128])).
% 0.13/0.43 tff(132,plain,
% 0.13/0.43 ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(mod1, very_low) | (~greater(low, very_low)) | (~greater(mod1, low)))),
% 0.13/0.43 inference(quant_inst,[status(thm)],[])).
% 0.13/0.43 tff(133,plain,
% 0.13/0.43 ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (~greater(mod1, low)) | greater(mod1, very_low) | (~greater(low, very_low))),
% 0.13/0.43 inference(modus_ponens,[status(thm)],[132, 131])).
% 0.13/0.43 tff(134,plain,
% 0.13/0.43 (greater(mod1, very_low)),
% 0.13/0.43 inference(unit_resolution,[status(thm)],[133, 127, 118, 106])).
% 0.13/0.43 tff(135,plain,
% 0.13/0.43 ($false),
% 0.13/0.43 inference(unit_resolution,[status(thm)],[134, 115])).
% 0.13/0.43 tff(136,plain,(~(hazard_of_mortality(sk2, sk5) = mod1)), inference(lemma,lemma(discharge,[]))).
% 0.13/0.43 tff(137,plain,
% 0.13/0.43 (greater(age(sk2, sk5), eta) <=> greater(age(sk2, sk5), eta)),
% 0.13/0.43 inference(rewrite,[status(thm)],[])).
% 0.13/0.43 tff(138,axiom,(greater(age(sk2, sk5), eta)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','theorem_11_79')).
% 0.13/0.43 tff(139,plain,
% 0.13/0.43 (greater(age(sk2, sk5), eta)),
% 0.13/0.43 inference(modus_ponens,[status(thm)],[138, 137])).
% 0.13/0.43 tff(140,plain,
% 0.13/0.43 (^[B: $i, A: $i] : refl(((~has_endowment(A)) | (~has_immunity(A, B)) | (~greater(age(A, B), eta))) <=> ((~has_endowment(A)) | (~has_immunity(A, B)) | (~greater(age(A, B), eta))))),
% 0.13/0.43 inference(bind,[status(th)],[])).
% 0.13/0.43 tff(141,plain,
% 0.13/0.43 (![B: $i, A: $i] : ((~has_endowment(A)) | (~has_immunity(A, B)) | (~greater(age(A, B), eta))) <=> ![B: $i, A: $i] : ((~has_endowment(A)) | (~has_immunity(A, B)) | (~greater(age(A, B), eta)))),
% 0.13/0.43 inference(quant_intro,[status(thm)],[140])).
% 0.13/0.43 tff(142,plain,
% 0.13/0.43 (![B: $i, A: $i] : ((~has_endowment(A)) | (~has_immunity(A, B)) | (~greater(age(A, B), eta))) <=> ![B: $i, A: $i] : ((~has_endowment(A)) | (~has_immunity(A, B)) | (~greater(age(A, B), eta)))),
% 0.13/0.43 inference(rewrite,[status(thm)],[])).
% 0.13/0.43 tff(143,plain,
% 0.13/0.43 (^[B: $i, A: $i] : rewrite((((~has_endowment(A)) | (~greater(age(A, B), eta))) | (~has_immunity(A, B))) <=> ((~has_endowment(A)) | (~has_immunity(A, B)) | (~greater(age(A, B), eta))))),
% 0.13/0.43 inference(bind,[status(th)],[])).
% 0.13/0.43 tff(144,plain,
% 0.13/0.43 (![B: $i, A: $i] : (((~has_endowment(A)) | (~greater(age(A, B), eta))) | (~has_immunity(A, B))) <=> ![B: $i, A: $i] : ((~has_endowment(A)) | (~has_immunity(A, B)) | (~greater(age(A, B), eta)))),
% 0.13/0.43 inference(quant_intro,[status(thm)],[143])).
% 0.13/0.43 tff(145,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_42')).
% 0.13/0.43 tff(146,plain,
% 0.13/0.43 (![B: $i, A: $i] : ((~has_endowment(A)) | (~has_immunity(A, B)) | (~greater(age(A, B), eta)))),
% 0.13/0.43 inference(modus_ponens,[status(thm)],[145, 144])).
% 0.13/0.43 tff(147,plain,
% 0.13/0.43 (![B: $i, A: $i] : ((~has_endowment(A)) | (~has_immunity(A, B)) | (~greater(age(A, B), eta)))),
% 0.13/0.43 inference(modus_ponens,[status(thm)],[146, 142])).
% 0.13/0.43 tff(148,plain,(
% 0.13/0.43 ![B: $i, A: $i] : ((~has_endowment(A)) | (~has_immunity(A, B)) | (~greater(age(A, B), eta)))),
% 0.13/0.43 inference(skolemize,[status(sab)],[147])).
% 0.13/0.43 tff(149,plain,
% 0.13/0.43 (![B: $i, A: $i] : ((~has_endowment(A)) | (~has_immunity(A, B)) | (~greater(age(A, B), eta)))),
% 0.13/0.43 inference(modus_ponens,[status(thm)],[148, 141])).
% 0.13/0.43 tff(150,plain,
% 0.13/0.43 (((~![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)))),
% 0.13/0.43 inference(rewrite,[status(thm)],[])).
% 0.13/0.43 tff(151,plain,
% 0.13/0.43 ((~![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)))),
% 0.13/0.43 inference(quant_inst,[status(thm)],[])).
% 0.13/0.43 tff(152,plain,
% 0.13/0.43 ((~![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))),
% 0.13/0.43 inference(modus_ponens,[status(thm)],[151, 150])).
% 0.13/0.43 tff(153,plain,
% 0.13/0.43 (~has_immunity(sk2, sk5)),
% 0.13/0.43 inference(unit_resolution,[status(thm)],[152, 149, 6, 139])).
% 0.13/0.43 tff(154,plain,
% 0.13/0.43 (^[B: $i, A: $i] : refl((has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = mod1)) <=> (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = mod1)))),
% 0.13/0.43 inference(bind,[status(th)],[])).
% 0.13/0.43 tff(155,plain,
% 0.13/0.43 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = mod1)) <=> ![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = mod1))),
% 0.13/0.43 inference(quant_intro,[status(thm)],[154])).
% 0.13/0.43 tff(156,plain,
% 0.13/0.43 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = mod1)) <=> ![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = mod1))),
% 0.13/0.43 inference(rewrite,[status(thm)],[])).
% 0.13/0.43 tff(157,plain,
% 0.13/0.43 (^[B: $i, A: $i] : trans(monotonicity(trans(monotonicity(rewrite((((~organization(A)) | has_immunity(A, B)) | is_aligned(A, B)) <=> (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B))), (((((~organization(A)) | has_immunity(A, B)) | is_aligned(A, B)) | (~positional_advantage(A, B))) <=> ((has_immunity(A, B) | (~organization(A)) | is_aligned(A, B)) | (~positional_advantage(A, B))))), rewrite(((has_immunity(A, B) | (~organization(A)) | is_aligned(A, B)) | (~positional_advantage(A, B))) <=> (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | (~positional_advantage(A, B)))), (((((~organization(A)) | has_immunity(A, B)) | is_aligned(A, B)) | (~positional_advantage(A, B))) <=> (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | (~positional_advantage(A, B))))), ((((((~organization(A)) | has_immunity(A, B)) | is_aligned(A, B)) | (~positional_advantage(A, B))) | (hazard_of_mortality(A, B) = mod1)) <=> ((has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | (~positional_advantage(A, B))) | (hazard_of_mortality(A, B) = mod1)))), rewrite(((has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | (~positional_advantage(A, B))) | (hazard_of_mortality(A, B) = mod1)) <=> (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = mod1))), ((((((~organization(A)) | has_immunity(A, B)) | is_aligned(A, B)) | (~positional_advantage(A, B))) | (hazard_of_mortality(A, B) = mod1)) <=> (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = mod1))))),
% 0.13/0.43 inference(bind,[status(th)],[])).
% 0.13/0.43 tff(158,plain,
% 0.13/0.43 (![B: $i, A: $i] : (((((~organization(A)) | has_immunity(A, B)) | is_aligned(A, B)) | (~positional_advantage(A, B))) | (hazard_of_mortality(A, B) = mod1)) <=> ![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = mod1))),
% 0.13/0.43 inference(quant_intro,[status(thm)],[157])).
% 0.13/0.43 tff(159,axiom,(![B: $i, A: $i] : (((((~organization(A)) | has_immunity(A, B)) | is_aligned(A, B)) | (~positional_advantage(A, B))) | (hazard_of_mortality(A, B) = mod1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','assumption_17_59')).
% 0.13/0.43 tff(160,plain,
% 0.13/0.43 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = mod1))),
% 0.13/0.43 inference(modus_ponens,[status(thm)],[159, 158])).
% 0.13/0.43 tff(161,plain,
% 0.13/0.43 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = mod1))),
% 0.13/0.43 inference(modus_ponens,[status(thm)],[160, 156])).
% 0.13/0.43 tff(162,plain,(
% 0.13/0.43 ![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = mod1))),
% 0.13/0.43 inference(skolemize,[status(sab)],[161])).
% 0.13/0.43 tff(163,plain,
% 0.13/0.43 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = mod1))),
% 0.13/0.43 inference(modus_ponens,[status(thm)],[162, 155])).
% 0.13/0.43 tff(164,plain,
% 0.13/0.43 (((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = mod1))) | ((~organization(sk2)) | is_aligned(sk2, sk5) | has_immunity(sk2, sk5) | (~positional_advantage(sk2, sk5)) | (hazard_of_mortality(sk2, sk5) = mod1))) <=> ((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = mod1))) | (~organization(sk2)) | is_aligned(sk2, sk5) | has_immunity(sk2, sk5) | (~positional_advantage(sk2, sk5)) | (hazard_of_mortality(sk2, sk5) = mod1))),
% 0.13/0.43 inference(rewrite,[status(thm)],[])).
% 0.13/0.43 tff(165,plain,
% 0.13/0.43 ((has_immunity(sk2, sk5) | (~organization(sk2)) | is_aligned(sk2, sk5) | (~positional_advantage(sk2, sk5)) | (hazard_of_mortality(sk2, sk5) = mod1)) <=> ((~organization(sk2)) | is_aligned(sk2, sk5) | has_immunity(sk2, sk5) | (~positional_advantage(sk2, sk5)) | (hazard_of_mortality(sk2, sk5) = mod1))),
% 0.13/0.43 inference(rewrite,[status(thm)],[])).
% 0.13/0.43 tff(166,plain,
% 0.13/0.43 (((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = mod1))) | (has_immunity(sk2, sk5) | (~organization(sk2)) | is_aligned(sk2, sk5) | (~positional_advantage(sk2, sk5)) | (hazard_of_mortality(sk2, sk5) = mod1))) <=> ((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = mod1))) | ((~organization(sk2)) | is_aligned(sk2, sk5) | has_immunity(sk2, sk5) | (~positional_advantage(sk2, sk5)) | (hazard_of_mortality(sk2, sk5) = mod1)))),
% 0.13/0.43 inference(monotonicity,[status(thm)],[165])).
% 0.13/0.43 tff(167,plain,
% 0.13/0.43 (((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = mod1))) | (has_immunity(sk2, sk5) | (~organization(sk2)) | is_aligned(sk2, sk5) | (~positional_advantage(sk2, sk5)) | (hazard_of_mortality(sk2, sk5) = mod1))) <=> ((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = mod1))) | (~organization(sk2)) | is_aligned(sk2, sk5) | has_immunity(sk2, sk5) | (~positional_advantage(sk2, sk5)) | (hazard_of_mortality(sk2, sk5) = mod1))),
% 0.13/0.43 inference(transitivity,[status(thm)],[166, 164])).
% 0.13/0.43 tff(168,plain,
% 0.13/0.43 ((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = mod1))) | (has_immunity(sk2, sk5) | (~organization(sk2)) | is_aligned(sk2, sk5) | (~positional_advantage(sk2, sk5)) | (hazard_of_mortality(sk2, sk5) = mod1))),
% 0.13/0.43 inference(quant_inst,[status(thm)],[])).
% 0.13/0.43 tff(169,plain,
% 0.13/0.43 ((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = mod1))) | (~organization(sk2)) | is_aligned(sk2, sk5) | has_immunity(sk2, sk5) | (~positional_advantage(sk2, sk5)) | (hazard_of_mortality(sk2, sk5) = mod1)),
% 0.13/0.43 inference(modus_ponens,[status(thm)],[168, 167])).
% 0.13/0.43 tff(170,plain,
% 0.13/0.43 (is_aligned(sk2, sk5) | (~positional_advantage(sk2, sk5)) | (hazard_of_mortality(sk2, sk5) = mod1)),
% 0.13/0.43 inference(unit_resolution,[status(thm)],[169, 163, 26, 153])).
% 0.13/0.43 tff(171,plain,
% 0.13/0.43 (is_aligned(sk2, sk5) | (~positional_advantage(sk2, sk5))),
% 0.13/0.43 inference(unit_resolution,[status(thm)],[170, 136])).
% 0.13/0.43 tff(172,plain,
% 0.13/0.43 (is_aligned(sk2, sk5)),
% 0.13/0.43 inference(unit_resolution,[status(thm)],[171, 109])).
% 0.13/0.43 tff(173,plain,
% 0.13/0.43 (^[B: $i, A: $i] : refl((has_immunity(A, B) | (~organization(A)) | (hazard_of_mortality(A, B) = low) | (~positional_advantage(A, B)) | (~is_aligned(A, B))) <=> (has_immunity(A, B) | (~organization(A)) | (hazard_of_mortality(A, B) = low) | (~positional_advantage(A, B)) | (~is_aligned(A, B))))),
% 0.13/0.43 inference(bind,[status(th)],[])).
% 0.13/0.43 tff(174,plain,
% 0.13/0.43 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | (hazard_of_mortality(A, B) = low) | (~positional_advantage(A, B)) | (~is_aligned(A, B))) <=> ![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | (hazard_of_mortality(A, B) = low) | (~positional_advantage(A, B)) | (~is_aligned(A, B)))),
% 0.13/0.43 inference(quant_intro,[status(thm)],[173])).
% 0.13/0.43 tff(175,plain,
% 0.13/0.43 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | (hazard_of_mortality(A, B) = low) | (~positional_advantage(A, B)) | (~is_aligned(A, B))) <=> ![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | (hazard_of_mortality(A, B) = low) | (~positional_advantage(A, B)) | (~is_aligned(A, B)))),
% 0.13/0.43 inference(rewrite,[status(thm)],[])).
% 0.13/0.43 tff(176,plain,
% 0.13/0.43 (^[B: $i, A: $i] : trans(monotonicity(trans(monotonicity(rewrite((((~organization(A)) | has_immunity(A, B)) | (~is_aligned(A, B))) <=> (has_immunity(A, B) | (~organization(A)) | (~is_aligned(A, B)))), (((((~organization(A)) | has_immunity(A, B)) | (~is_aligned(A, B))) | (~positional_advantage(A, B))) <=> ((has_immunity(A, B) | (~organization(A)) | (~is_aligned(A, B))) | (~positional_advantage(A, B))))), rewrite(((has_immunity(A, B) | (~organization(A)) | (~is_aligned(A, B))) | (~positional_advantage(A, B))) <=> (has_immunity(A, B) | (~organization(A)) | (~positional_advantage(A, B)) | (~is_aligned(A, B)))), (((((~organization(A)) | has_immunity(A, B)) | (~is_aligned(A, B))) | (~positional_advantage(A, B))) <=> (has_immunity(A, B) | (~organization(A)) | (~positional_advantage(A, B)) | (~is_aligned(A, B))))), ((((((~organization(A)) | has_immunity(A, B)) | (~is_aligned(A, B))) | (~positional_advantage(A, B))) | (hazard_of_mortality(A, B) = low)) <=> ((has_immunity(A, B) | (~organization(A)) | (~positional_advantage(A, B)) | (~is_aligned(A, B))) | (hazard_of_mortality(A, B) = low)))), rewrite(((has_immunity(A, B) | (~organization(A)) | (~positional_advantage(A, B)) | (~is_aligned(A, B))) | (hazard_of_mortality(A, B) = low)) <=> (has_immunity(A, B) | (~organization(A)) | (hazard_of_mortality(A, B) = low) | (~positional_advantage(A, B)) | (~is_aligned(A, B)))), ((((((~organization(A)) | has_immunity(A, B)) | (~is_aligned(A, B))) | (~positional_advantage(A, B))) | (hazard_of_mortality(A, B) = low)) <=> (has_immunity(A, B) | (~organization(A)) | (hazard_of_mortality(A, B) = low) | (~positional_advantage(A, B)) | (~is_aligned(A, B)))))),
% 0.13/0.44 inference(bind,[status(th)],[])).
% 0.13/0.44 tff(177,plain,
% 0.13/0.44 (![B: $i, A: $i] : (((((~organization(A)) | has_immunity(A, B)) | (~is_aligned(A, B))) | (~positional_advantage(A, B))) | (hazard_of_mortality(A, B) = low)) <=> ![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | (hazard_of_mortality(A, B) = low) | (~positional_advantage(A, B)) | (~is_aligned(A, B)))),
% 0.13/0.44 inference(quant_intro,[status(thm)],[176])).
% 0.13/0.44 tff(178,axiom,(![B: $i, A: $i] : (((((~organization(A)) | has_immunity(A, B)) | (~is_aligned(A, B))) | (~positional_advantage(A, B))) | (hazard_of_mortality(A, B) = low))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','assumption_17_58')).
% 0.13/0.44 tff(179,plain,
% 0.13/0.44 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | (hazard_of_mortality(A, B) = low) | (~positional_advantage(A, B)) | (~is_aligned(A, B)))),
% 0.13/0.44 inference(modus_ponens,[status(thm)],[178, 177])).
% 0.13/0.44 tff(180,plain,
% 0.13/0.44 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | (hazard_of_mortality(A, B) = low) | (~positional_advantage(A, B)) | (~is_aligned(A, B)))),
% 0.13/0.44 inference(modus_ponens,[status(thm)],[179, 175])).
% 0.13/0.44 tff(181,plain,(
% 0.13/0.44 ![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | (hazard_of_mortality(A, B) = low) | (~positional_advantage(A, B)) | (~is_aligned(A, B)))),
% 0.13/0.44 inference(skolemize,[status(sab)],[180])).
% 0.13/0.44 tff(182,plain,
% 0.13/0.44 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | (hazard_of_mortality(A, B) = low) | (~positional_advantage(A, B)) | (~is_aligned(A, B)))),
% 0.13/0.44 inference(modus_ponens,[status(thm)],[181, 174])).
% 0.13/0.44 tff(183,plain,
% 0.13/0.44 (((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | (hazard_of_mortality(A, B) = low) | (~positional_advantage(A, B)) | (~is_aligned(A, B)))) | ((~organization(sk2)) | has_immunity(sk2, sk5) | (~is_aligned(sk2, sk5)) | (~positional_advantage(sk2, sk5)) | (hazard_of_mortality(sk2, sk5) = low))) <=> ((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | (hazard_of_mortality(A, B) = low) | (~positional_advantage(A, B)) | (~is_aligned(A, B)))) | (~organization(sk2)) | has_immunity(sk2, sk5) | (~is_aligned(sk2, sk5)) | (~positional_advantage(sk2, sk5)) | (hazard_of_mortality(sk2, sk5) = low))),
% 0.13/0.44 inference(rewrite,[status(thm)],[])).
% 0.13/0.44 tff(184,plain,
% 0.13/0.44 ((has_immunity(sk2, sk5) | (~organization(sk2)) | (hazard_of_mortality(sk2, sk5) = low) | (~positional_advantage(sk2, sk5)) | (~is_aligned(sk2, sk5))) <=> ((~organization(sk2)) | has_immunity(sk2, sk5) | (~is_aligned(sk2, sk5)) | (~positional_advantage(sk2, sk5)) | (hazard_of_mortality(sk2, sk5) = low))),
% 0.13/0.44 inference(rewrite,[status(thm)],[])).
% 0.13/0.44 tff(185,plain,
% 0.13/0.44 (((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | (hazard_of_mortality(A, B) = low) | (~positional_advantage(A, B)) | (~is_aligned(A, B)))) | (has_immunity(sk2, sk5) | (~organization(sk2)) | (hazard_of_mortality(sk2, sk5) = low) | (~positional_advantage(sk2, sk5)) | (~is_aligned(sk2, sk5)))) <=> ((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | (hazard_of_mortality(A, B) = low) | (~positional_advantage(A, B)) | (~is_aligned(A, B)))) | ((~organization(sk2)) | has_immunity(sk2, sk5) | (~is_aligned(sk2, sk5)) | (~positional_advantage(sk2, sk5)) | (hazard_of_mortality(sk2, sk5) = low)))),
% 0.13/0.44 inference(monotonicity,[status(thm)],[184])).
% 0.13/0.44 tff(186,plain,
% 0.13/0.44 (((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | (hazard_of_mortality(A, B) = low) | (~positional_advantage(A, B)) | (~is_aligned(A, B)))) | (has_immunity(sk2, sk5) | (~organization(sk2)) | (hazard_of_mortality(sk2, sk5) = low) | (~positional_advantage(sk2, sk5)) | (~is_aligned(sk2, sk5)))) <=> ((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | (hazard_of_mortality(A, B) = low) | (~positional_advantage(A, B)) | (~is_aligned(A, B)))) | (~organization(sk2)) | has_immunity(sk2, sk5) | (~is_aligned(sk2, sk5)) | (~positional_advantage(sk2, sk5)) | (hazard_of_mortality(sk2, sk5) = low))),
% 0.13/0.44 inference(transitivity,[status(thm)],[185, 183])).
% 0.13/0.44 tff(187,plain,
% 0.13/0.44 ((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | (hazard_of_mortality(A, B) = low) | (~positional_advantage(A, B)) | (~is_aligned(A, B)))) | (has_immunity(sk2, sk5) | (~organization(sk2)) | (hazard_of_mortality(sk2, sk5) = low) | (~positional_advantage(sk2, sk5)) | (~is_aligned(sk2, sk5)))),
% 0.13/0.44 inference(quant_inst,[status(thm)],[])).
% 0.13/0.44 tff(188,plain,
% 0.13/0.44 ((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | (hazard_of_mortality(A, B) = low) | (~positional_advantage(A, B)) | (~is_aligned(A, B)))) | (~organization(sk2)) | has_immunity(sk2, sk5) | (~is_aligned(sk2, sk5)) | (~positional_advantage(sk2, sk5)) | (hazard_of_mortality(sk2, sk5) = low)),
% 0.13/0.44 inference(modus_ponens,[status(thm)],[187, 186])).
% 0.13/0.44 tff(189,plain,
% 0.13/0.44 ((~is_aligned(sk2, sk5)) | (~positional_advantage(sk2, sk5)) | (hazard_of_mortality(sk2, sk5) = low)),
% 0.13/0.44 inference(unit_resolution,[status(thm)],[188, 182, 26, 153])).
% 0.13/0.44 tff(190,plain,
% 0.13/0.44 ($false),
% 0.13/0.44 inference(unit_resolution,[status(thm)],[189, 172, 109, 108])).
% 0.13/0.44 tff(191,plain,(~positional_advantage(sk2, sk5)), inference(lemma,lemma(discharge,[]))).
% 0.13/0.44 tff(192,assumption,(~positional_advantage(sk2, sk5)), introduced(assumption)).
% 0.13/0.44 tff(193,assumption,(~(hazard_of_mortality(sk2, sk5) = high)), introduced(assumption)).
% 0.13/0.44 tff(194,plain,
% 0.13/0.44 (^[B: $i, A: $i] : refl((has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | positional_advantage(A, B) | (hazard_of_mortality(A, B) = high)) <=> (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | positional_advantage(A, B) | (hazard_of_mortality(A, B) = high)))),
% 0.13/0.44 inference(bind,[status(th)],[])).
% 0.13/0.44 tff(195,plain,
% 0.13/0.44 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | positional_advantage(A, B) | (hazard_of_mortality(A, B) = high)) <=> ![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | positional_advantage(A, B) | (hazard_of_mortality(A, B) = high))),
% 0.13/0.44 inference(quant_intro,[status(thm)],[194])).
% 0.13/0.44 tff(196,plain,
% 0.13/0.44 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | positional_advantage(A, B) | (hazard_of_mortality(A, B) = high)) <=> ![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | positional_advantage(A, B) | (hazard_of_mortality(A, B) = high))),
% 0.13/0.44 inference(rewrite,[status(thm)],[])).
% 0.13/0.44 tff(197,plain,
% 0.13/0.44 (^[B: $i, A: $i] : trans(monotonicity(trans(monotonicity(rewrite((((~organization(A)) | has_immunity(A, B)) | is_aligned(A, B)) <=> (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B))), (((((~organization(A)) | has_immunity(A, B)) | is_aligned(A, B)) | positional_advantage(A, B)) <=> ((has_immunity(A, B) | (~organization(A)) | is_aligned(A, B)) | positional_advantage(A, B)))), rewrite(((has_immunity(A, B) | (~organization(A)) | is_aligned(A, B)) | positional_advantage(A, B)) <=> (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | positional_advantage(A, B))), (((((~organization(A)) | has_immunity(A, B)) | is_aligned(A, B)) | positional_advantage(A, B)) <=> (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | positional_advantage(A, B)))), ((((((~organization(A)) | has_immunity(A, B)) | is_aligned(A, B)) | positional_advantage(A, B)) | (hazard_of_mortality(A, B) = high)) <=> ((has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | positional_advantage(A, B)) | (hazard_of_mortality(A, B) = high)))), rewrite(((has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | positional_advantage(A, B)) | (hazard_of_mortality(A, B) = high)) <=> (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | positional_advantage(A, B) | (hazard_of_mortality(A, B) = high))), ((((((~organization(A)) | has_immunity(A, B)) | is_aligned(A, B)) | positional_advantage(A, B)) | (hazard_of_mortality(A, B) = high)) <=> (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | positional_advantage(A, B) | (hazard_of_mortality(A, B) = high))))),
% 0.13/0.44 inference(bind,[status(th)],[])).
% 0.13/0.44 tff(198,plain,
% 0.13/0.44 (![B: $i, A: $i] : (((((~organization(A)) | has_immunity(A, B)) | is_aligned(A, B)) | positional_advantage(A, B)) | (hazard_of_mortality(A, B) = high)) <=> ![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | positional_advantage(A, B) | (hazard_of_mortality(A, B) = high))),
% 0.13/0.44 inference(quant_intro,[status(thm)],[197])).
% 0.13/0.44 tff(199,axiom,(![B: $i, A: $i] : (((((~organization(A)) | has_immunity(A, B)) | is_aligned(A, B)) | positional_advantage(A, B)) | (hazard_of_mortality(A, B) = high))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','assumption_17_61')).
% 0.13/0.44 tff(200,plain,
% 0.13/0.44 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | positional_advantage(A, B) | (hazard_of_mortality(A, B) = high))),
% 0.13/0.44 inference(modus_ponens,[status(thm)],[199, 198])).
% 0.13/0.44 tff(201,plain,
% 0.13/0.44 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | positional_advantage(A, B) | (hazard_of_mortality(A, B) = high))),
% 0.13/0.44 inference(modus_ponens,[status(thm)],[200, 196])).
% 0.13/0.44 tff(202,plain,(
% 0.13/0.44 ![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | positional_advantage(A, B) | (hazard_of_mortality(A, B) = high))),
% 0.13/0.44 inference(skolemize,[status(sab)],[201])).
% 0.13/0.44 tff(203,plain,
% 0.13/0.44 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | positional_advantage(A, B) | (hazard_of_mortality(A, B) = high))),
% 0.13/0.44 inference(modus_ponens,[status(thm)],[202, 195])).
% 0.13/0.44 tff(204,plain,
% 0.13/0.44 (((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | positional_advantage(A, B) | (hazard_of_mortality(A, B) = high))) | ((~organization(sk2)) | is_aligned(sk2, sk5) | has_immunity(sk2, sk5) | positional_advantage(sk2, sk5) | (hazard_of_mortality(sk2, sk5) = high))) <=> ((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | positional_advantage(A, B) | (hazard_of_mortality(A, B) = high))) | (~organization(sk2)) | is_aligned(sk2, sk5) | has_immunity(sk2, sk5) | positional_advantage(sk2, sk5) | (hazard_of_mortality(sk2, sk5) = high))),
% 0.13/0.44 inference(rewrite,[status(thm)],[])).
% 0.13/0.44 tff(205,plain,
% 0.13/0.44 ((has_immunity(sk2, sk5) | (~organization(sk2)) | is_aligned(sk2, sk5) | positional_advantage(sk2, sk5) | (hazard_of_mortality(sk2, sk5) = high)) <=> ((~organization(sk2)) | is_aligned(sk2, sk5) | has_immunity(sk2, sk5) | positional_advantage(sk2, sk5) | (hazard_of_mortality(sk2, sk5) = high))),
% 0.13/0.44 inference(rewrite,[status(thm)],[])).
% 0.13/0.44 tff(206,plain,
% 0.13/0.44 (((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | positional_advantage(A, B) | (hazard_of_mortality(A, B) = high))) | (has_immunity(sk2, sk5) | (~organization(sk2)) | is_aligned(sk2, sk5) | positional_advantage(sk2, sk5) | (hazard_of_mortality(sk2, sk5) = high))) <=> ((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | positional_advantage(A, B) | (hazard_of_mortality(A, B) = high))) | ((~organization(sk2)) | is_aligned(sk2, sk5) | has_immunity(sk2, sk5) | positional_advantage(sk2, sk5) | (hazard_of_mortality(sk2, sk5) = high)))),
% 0.13/0.44 inference(monotonicity,[status(thm)],[205])).
% 0.13/0.44 tff(207,plain,
% 0.13/0.44 (((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | positional_advantage(A, B) | (hazard_of_mortality(A, B) = high))) | (has_immunity(sk2, sk5) | (~organization(sk2)) | is_aligned(sk2, sk5) | positional_advantage(sk2, sk5) | (hazard_of_mortality(sk2, sk5) = high))) <=> ((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | positional_advantage(A, B) | (hazard_of_mortality(A, B) = high))) | (~organization(sk2)) | is_aligned(sk2, sk5) | has_immunity(sk2, sk5) | positional_advantage(sk2, sk5) | (hazard_of_mortality(sk2, sk5) = high))),
% 0.13/0.44 inference(transitivity,[status(thm)],[206, 204])).
% 0.13/0.44 tff(208,plain,
% 0.13/0.44 ((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | positional_advantage(A, B) | (hazard_of_mortality(A, B) = high))) | (has_immunity(sk2, sk5) | (~organization(sk2)) | is_aligned(sk2, sk5) | positional_advantage(sk2, sk5) | (hazard_of_mortality(sk2, sk5) = high))),
% 0.13/0.44 inference(quant_inst,[status(thm)],[])).
% 0.13/0.44 tff(209,plain,
% 0.13/0.44 ((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | positional_advantage(A, B) | (hazard_of_mortality(A, B) = high))) | (~organization(sk2)) | is_aligned(sk2, sk5) | has_immunity(sk2, sk5) | positional_advantage(sk2, sk5) | (hazard_of_mortality(sk2, sk5) = high)),
% 0.13/0.44 inference(modus_ponens,[status(thm)],[208, 207])).
% 0.13/0.44 tff(210,plain,
% 0.13/0.44 (is_aligned(sk2, sk5) | positional_advantage(sk2, sk5) | (hazard_of_mortality(sk2, sk5) = high)),
% 0.13/0.44 inference(unit_resolution,[status(thm)],[209, 203, 26, 153])).
% 0.13/0.44 tff(211,plain,
% 0.13/0.44 (is_aligned(sk2, sk5)),
% 0.13/0.44 inference(unit_resolution,[status(thm)],[210, 192, 193])).
% 0.13/0.44 tff(212,assumption,(hazard_of_mortality(sk2, sk5) = mod2), introduced(assumption)).
% 0.13/0.44 tff(213,plain,
% 0.13/0.44 (mod2 = hazard_of_mortality(sk2, sk5)),
% 0.13/0.44 inference(symmetry,[status(thm)],[212])).
% 0.13/0.44 tff(214,plain,
% 0.13/0.44 (greater(mod2, very_low) <=> greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4))),
% 0.13/0.44 inference(monotonicity,[status(thm)],[213, 44])).
% 0.13/0.44 tff(215,plain,
% 0.13/0.44 (greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4)) <=> greater(mod2, very_low)),
% 0.13/0.44 inference(symmetry,[status(thm)],[214])).
% 0.13/0.44 tff(216,plain,
% 0.13/0.44 ((~greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4))) <=> (~greater(mod2, very_low))),
% 0.13/0.44 inference(monotonicity,[status(thm)],[215])).
% 0.13/0.44 tff(217,plain,
% 0.13/0.44 (~greater(mod2, very_low)),
% 0.13/0.44 inference(modus_ponens,[status(thm)],[102, 216])).
% 0.13/0.44 tff(218,plain,
% 0.13/0.44 (greater(mod2, low) <=> greater(mod2, low)),
% 0.13/0.44 inference(rewrite,[status(thm)],[])).
% 0.13/0.44 tff(219,axiom,(greater(mod2, low)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','assumption_18e_66')).
% 0.13/0.44 tff(220,plain,
% 0.13/0.44 (greater(mod2, low)),
% 0.13/0.44 inference(modus_ponens,[status(thm)],[219, 218])).
% 0.13/0.44 tff(221,plain,
% 0.13/0.44 (((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | ((~greater(low, very_low)) | greater(mod2, very_low) | (~greater(mod2, low)))) <=> ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (~greater(low, very_low)) | greater(mod2, very_low) | (~greater(mod2, low)))),
% 0.13/0.44 inference(rewrite,[status(thm)],[])).
% 0.13/0.44 tff(222,plain,
% 0.13/0.44 ((greater(mod2, very_low) | (~greater(low, very_low)) | (~greater(mod2, low))) <=> ((~greater(low, very_low)) | greater(mod2, very_low) | (~greater(mod2, low)))),
% 0.13/0.44 inference(rewrite,[status(thm)],[])).
% 0.13/0.44 tff(223,plain,
% 0.13/0.44 (((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(mod2, very_low) | (~greater(low, very_low)) | (~greater(mod2, low)))) <=> ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | ((~greater(low, very_low)) | greater(mod2, very_low) | (~greater(mod2, low))))),
% 0.13/0.44 inference(monotonicity,[status(thm)],[222])).
% 0.13/0.44 tff(224,plain,
% 0.13/0.44 (((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(mod2, very_low) | (~greater(low, very_low)) | (~greater(mod2, low)))) <=> ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (~greater(low, very_low)) | greater(mod2, very_low) | (~greater(mod2, low)))),
% 0.13/0.44 inference(transitivity,[status(thm)],[223, 221])).
% 0.13/0.44 tff(225,plain,
% 0.13/0.44 ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(mod2, very_low) | (~greater(low, very_low)) | (~greater(mod2, low)))),
% 0.13/0.44 inference(quant_inst,[status(thm)],[])).
% 0.13/0.44 tff(226,plain,
% 0.13/0.44 ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (~greater(low, very_low)) | greater(mod2, very_low) | (~greater(mod2, low))),
% 0.13/0.44 inference(modus_ponens,[status(thm)],[225, 224])).
% 0.13/0.44 tff(227,plain,
% 0.13/0.44 (greater(mod2, very_low)),
% 0.13/0.44 inference(unit_resolution,[status(thm)],[226, 127, 106, 220])).
% 0.13/0.44 tff(228,plain,
% 0.13/0.44 ($false),
% 0.13/0.44 inference(unit_resolution,[status(thm)],[227, 217])).
% 0.13/0.44 tff(229,plain,(~(hazard_of_mortality(sk2, sk5) = mod2)), inference(lemma,lemma(discharge,[]))).
% 0.13/0.44 tff(230,plain,
% 0.13/0.44 (^[B: $i, A: $i] : refl((has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | (~is_aligned(A, B)) | (hazard_of_mortality(A, B) = mod2)) <=> (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | (~is_aligned(A, B)) | (hazard_of_mortality(A, B) = mod2)))),
% 0.13/0.44 inference(bind,[status(th)],[])).
% 0.13/0.44 tff(231,plain,
% 0.13/0.44 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | (~is_aligned(A, B)) | (hazard_of_mortality(A, B) = mod2)) <=> ![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | (~is_aligned(A, B)) | (hazard_of_mortality(A, B) = mod2))),
% 0.13/0.44 inference(quant_intro,[status(thm)],[230])).
% 0.13/0.44 tff(232,plain,
% 0.13/0.44 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | (~is_aligned(A, B)) | (hazard_of_mortality(A, B) = mod2)) <=> ![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | (~is_aligned(A, B)) | (hazard_of_mortality(A, B) = mod2))),
% 0.13/0.44 inference(rewrite,[status(thm)],[])).
% 0.13/0.44 tff(233,plain,
% 0.13/0.44 (^[B: $i, A: $i] : trans(monotonicity(trans(monotonicity(rewrite((((~organization(A)) | has_immunity(A, B)) | (~is_aligned(A, B))) <=> (has_immunity(A, B) | (~organization(A)) | (~is_aligned(A, B)))), (((((~organization(A)) | has_immunity(A, B)) | (~is_aligned(A, B))) | positional_advantage(A, B)) <=> ((has_immunity(A, B) | (~organization(A)) | (~is_aligned(A, B))) | positional_advantage(A, B)))), rewrite(((has_immunity(A, B) | (~organization(A)) | (~is_aligned(A, B))) | positional_advantage(A, B)) <=> (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | (~is_aligned(A, B)))), (((((~organization(A)) | has_immunity(A, B)) | (~is_aligned(A, B))) | positional_advantage(A, B)) <=> (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | (~is_aligned(A, B))))), ((((((~organization(A)) | has_immunity(A, B)) | (~is_aligned(A, B))) | positional_advantage(A, B)) | (hazard_of_mortality(A, B) = mod2)) <=> ((has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | (~is_aligned(A, B))) | (hazard_of_mortality(A, B) = mod2)))), rewrite(((has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | (~is_aligned(A, B))) | (hazard_of_mortality(A, B) = mod2)) <=> (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | (~is_aligned(A, B)) | (hazard_of_mortality(A, B) = mod2))), ((((((~organization(A)) | has_immunity(A, B)) | (~is_aligned(A, B))) | positional_advantage(A, B)) | (hazard_of_mortality(A, B) = mod2)) <=> (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | (~is_aligned(A, B)) | (hazard_of_mortality(A, B) = mod2))))),
% 0.13/0.44 inference(bind,[status(th)],[])).
% 0.13/0.44 tff(234,plain,
% 0.13/0.44 (![B: $i, A: $i] : (((((~organization(A)) | has_immunity(A, B)) | (~is_aligned(A, B))) | positional_advantage(A, B)) | (hazard_of_mortality(A, B) = mod2)) <=> ![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | (~is_aligned(A, B)) | (hazard_of_mortality(A, B) = mod2))),
% 0.13/0.45 inference(quant_intro,[status(thm)],[233])).
% 0.13/0.45 tff(235,axiom,(![B: $i, A: $i] : (((((~organization(A)) | has_immunity(A, B)) | (~is_aligned(A, B))) | positional_advantage(A, B)) | (hazard_of_mortality(A, B) = mod2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','assumption_17_60')).
% 0.13/0.45 tff(236,plain,
% 0.13/0.45 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | (~is_aligned(A, B)) | (hazard_of_mortality(A, B) = mod2))),
% 0.13/0.45 inference(modus_ponens,[status(thm)],[235, 234])).
% 0.13/0.45 tff(237,plain,
% 0.13/0.45 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | (~is_aligned(A, B)) | (hazard_of_mortality(A, B) = mod2))),
% 0.13/0.45 inference(modus_ponens,[status(thm)],[236, 232])).
% 0.13/0.45 tff(238,plain,(
% 0.13/0.45 ![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | (~is_aligned(A, B)) | (hazard_of_mortality(A, B) = mod2))),
% 0.13/0.45 inference(skolemize,[status(sab)],[237])).
% 0.13/0.45 tff(239,plain,
% 0.13/0.45 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | (~is_aligned(A, B)) | (hazard_of_mortality(A, B) = mod2))),
% 0.13/0.45 inference(modus_ponens,[status(thm)],[238, 231])).
% 0.13/0.45 tff(240,plain,
% 0.13/0.45 (((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | (~is_aligned(A, B)) | (hazard_of_mortality(A, B) = mod2))) | ((~organization(sk2)) | has_immunity(sk2, sk5) | positional_advantage(sk2, sk5) | (~is_aligned(sk2, sk5)) | (hazard_of_mortality(sk2, sk5) = mod2))) <=> ((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | (~is_aligned(A, B)) | (hazard_of_mortality(A, B) = mod2))) | (~organization(sk2)) | has_immunity(sk2, sk5) | positional_advantage(sk2, sk5) | (~is_aligned(sk2, sk5)) | (hazard_of_mortality(sk2, sk5) = mod2))),
% 0.13/0.45 inference(rewrite,[status(thm)],[])).
% 0.13/0.45 tff(241,plain,
% 0.13/0.45 ((has_immunity(sk2, sk5) | (~organization(sk2)) | positional_advantage(sk2, sk5) | (~is_aligned(sk2, sk5)) | (hazard_of_mortality(sk2, sk5) = mod2)) <=> ((~organization(sk2)) | has_immunity(sk2, sk5) | positional_advantage(sk2, sk5) | (~is_aligned(sk2, sk5)) | (hazard_of_mortality(sk2, sk5) = mod2))),
% 0.13/0.45 inference(rewrite,[status(thm)],[])).
% 0.13/0.45 tff(242,plain,
% 0.13/0.45 (((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | (~is_aligned(A, B)) | (hazard_of_mortality(A, B) = mod2))) | (has_immunity(sk2, sk5) | (~organization(sk2)) | positional_advantage(sk2, sk5) | (~is_aligned(sk2, sk5)) | (hazard_of_mortality(sk2, sk5) = mod2))) <=> ((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | (~is_aligned(A, B)) | (hazard_of_mortality(A, B) = mod2))) | ((~organization(sk2)) | has_immunity(sk2, sk5) | positional_advantage(sk2, sk5) | (~is_aligned(sk2, sk5)) | (hazard_of_mortality(sk2, sk5) = mod2)))),
% 0.13/0.45 inference(monotonicity,[status(thm)],[241])).
% 0.13/0.45 tff(243,plain,
% 0.13/0.45 (((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | (~is_aligned(A, B)) | (hazard_of_mortality(A, B) = mod2))) | (has_immunity(sk2, sk5) | (~organization(sk2)) | positional_advantage(sk2, sk5) | (~is_aligned(sk2, sk5)) | (hazard_of_mortality(sk2, sk5) = mod2))) <=> ((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | (~is_aligned(A, B)) | (hazard_of_mortality(A, B) = mod2))) | (~organization(sk2)) | has_immunity(sk2, sk5) | positional_advantage(sk2, sk5) | (~is_aligned(sk2, sk5)) | (hazard_of_mortality(sk2, sk5) = mod2))),
% 0.13/0.45 inference(transitivity,[status(thm)],[242, 240])).
% 0.13/0.45 tff(244,plain,
% 0.13/0.45 ((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | (~is_aligned(A, B)) | (hazard_of_mortality(A, B) = mod2))) | (has_immunity(sk2, sk5) | (~organization(sk2)) | positional_advantage(sk2, sk5) | (~is_aligned(sk2, sk5)) | (hazard_of_mortality(sk2, sk5) = mod2))),
% 0.13/0.45 inference(quant_inst,[status(thm)],[])).
% 0.13/0.45 tff(245,plain,
% 0.13/0.45 ((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | (~is_aligned(A, B)) | (hazard_of_mortality(A, B) = mod2))) | (~organization(sk2)) | has_immunity(sk2, sk5) | positional_advantage(sk2, sk5) | (~is_aligned(sk2, sk5)) | (hazard_of_mortality(sk2, sk5) = mod2)),
% 0.13/0.45 inference(modus_ponens,[status(thm)],[244, 243])).
% 0.13/0.45 tff(246,plain,
% 0.13/0.45 (positional_advantage(sk2, sk5) | (~is_aligned(sk2, sk5)) | (hazard_of_mortality(sk2, sk5) = mod2)),
% 0.13/0.45 inference(unit_resolution,[status(thm)],[245, 239, 26, 153])).
% 0.13/0.45 tff(247,plain,
% 0.13/0.45 (positional_advantage(sk2, sk5) | (~is_aligned(sk2, sk5))),
% 0.13/0.45 inference(unit_resolution,[status(thm)],[246, 229])).
% 0.13/0.45 tff(248,plain,
% 0.13/0.45 ($false),
% 0.13/0.45 inference(unit_resolution,[status(thm)],[247, 211, 192])).
% 0.13/0.45 tff(249,plain,(positional_advantage(sk2, sk5) | (hazard_of_mortality(sk2, sk5) = high)), inference(lemma,lemma(discharge,[]))).
% 0.13/0.45 tff(250,plain,
% 0.13/0.45 (hazard_of_mortality(sk2, sk5) = high),
% 0.13/0.45 inference(unit_resolution,[status(thm)],[249, 191])).
% 0.13/0.45 tff(251,plain,
% 0.13/0.45 (high = hazard_of_mortality(sk2, sk5)),
% 0.13/0.45 inference(symmetry,[status(thm)],[250])).
% 0.13/0.45 tff(252,plain,
% 0.13/0.45 (greater(high, very_low) <=> greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4))),
% 0.13/0.45 inference(monotonicity,[status(thm)],[251, 44])).
% 0.13/0.45 tff(253,plain,
% 0.13/0.45 (greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4)) <=> greater(high, very_low)),
% 0.13/0.45 inference(symmetry,[status(thm)],[252])).
% 0.13/0.45 tff(254,plain,
% 0.13/0.45 ((~greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4))) <=> (~greater(high, very_low))),
% 0.13/0.45 inference(monotonicity,[status(thm)],[253])).
% 0.13/0.45 tff(255,plain,
% 0.13/0.45 (~greater(high, very_low)),
% 0.13/0.45 inference(modus_ponens,[status(thm)],[102, 254])).
% 0.13/0.45 tff(256,plain,
% 0.13/0.45 (greater(high, mod1) <=> greater(high, mod1)),
% 0.13/0.45 inference(rewrite,[status(thm)],[])).
% 0.13/0.45 tff(257,axiom,(greater(high, mod1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','assumption_18a_62')).
% 0.13/0.45 tff(258,plain,
% 0.13/0.45 (greater(high, mod1)),
% 0.13/0.45 inference(modus_ponens,[status(thm)],[257, 256])).
% 0.13/0.45 tff(259,plain,
% 0.13/0.45 (((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(high, low) | (~greater(mod1, low)) | (~greater(high, mod1)))) <=> ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | greater(high, low) | (~greater(mod1, low)) | (~greater(high, mod1)))),
% 0.13/0.45 inference(rewrite,[status(thm)],[])).
% 0.13/0.45 tff(260,plain,
% 0.13/0.45 ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(high, low) | (~greater(mod1, low)) | (~greater(high, mod1)))),
% 0.13/0.45 inference(quant_inst,[status(thm)],[])).
% 0.13/0.45 tff(261,plain,
% 0.13/0.45 ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | greater(high, low) | (~greater(mod1, low)) | (~greater(high, mod1))),
% 0.13/0.45 inference(modus_ponens,[status(thm)],[260, 259])).
% 0.13/0.45 tff(262,plain,
% 0.13/0.45 (greater(high, low)),
% 0.13/0.45 inference(unit_resolution,[status(thm)],[261, 127, 258, 118])).
% 0.13/0.45 tff(263,plain,
% 0.13/0.45 (((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | ((~greater(low, very_low)) | greater(high, very_low) | (~greater(high, low)))) <=> ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (~greater(low, very_low)) | greater(high, very_low) | (~greater(high, low)))),
% 0.13/0.45 inference(rewrite,[status(thm)],[])).
% 0.13/0.45 tff(264,plain,
% 0.13/0.45 ((greater(high, very_low) | (~greater(low, very_low)) | (~greater(high, low))) <=> ((~greater(low, very_low)) | greater(high, very_low) | (~greater(high, low)))),
% 0.13/0.45 inference(rewrite,[status(thm)],[])).
% 0.13/0.45 tff(265,plain,
% 0.13/0.45 (((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(high, very_low) | (~greater(low, very_low)) | (~greater(high, low)))) <=> ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | ((~greater(low, very_low)) | greater(high, very_low) | (~greater(high, low))))),
% 0.13/0.45 inference(monotonicity,[status(thm)],[264])).
% 0.13/0.45 tff(266,plain,
% 0.13/0.45 (((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(high, very_low) | (~greater(low, very_low)) | (~greater(high, low)))) <=> ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (~greater(low, very_low)) | greater(high, very_low) | (~greater(high, low)))),
% 0.13/0.45 inference(transitivity,[status(thm)],[265, 263])).
% 0.13/0.45 tff(267,plain,
% 0.13/0.45 ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(high, very_low) | (~greater(low, very_low)) | (~greater(high, low)))),
% 0.13/0.45 inference(quant_inst,[status(thm)],[])).
% 0.13/0.45 tff(268,plain,
% 0.13/0.45 ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (~greater(low, very_low)) | greater(high, very_low) | (~greater(high, low))),
% 0.13/0.45 inference(modus_ponens,[status(thm)],[267, 266])).
% 0.13/0.45 tff(269,plain,
% 0.13/0.45 (greater(high, very_low)),
% 0.13/0.45 inference(unit_resolution,[status(thm)],[268, 127, 106, 262])).
% 0.13/0.45 tff(270,plain,
% 0.13/0.45 ($false),
% 0.13/0.45 inference(unit_resolution,[status(thm)],[269, 255])).
% 0.13/0.45 % SZS output end Proof
% 0.13/0.46 % E exiting
%------------------------------------------------------------------------------