%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : MGT057-1 : TPTP v9.3.0. Released v2.4.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : run_E %s %d THM
% Computer : n005.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 06:24:08 AM UTC 2026
% Result : Unsatisfiable 0.13s 0.42s
% Output : Proof 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT057-1 : TPTP v9.3.0. Released v2.4.0.
% 0.00/0.03 % Command : run_E %s %d THM
% 0.10/0.35 % Computer : n005.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Mon Sep 7 13:31:07 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.13/0.42 % SZS status Unsatisfiable
% 0.13/0.42 % SZS output start Proof
% 0.13/0.42 tff(has_immunity_type, type, (
% 0.13/0.42 has_immunity: ( $i * $i ) > $o)).
% 0.13/0.42 tff(sk5_type, type, (
% 0.13/0.42 sk5: $i)).
% 0.13/0.42 tff(sk2_type, type, (
% 0.13/0.42 sk2: $i)).
% 0.13/0.42 tff(greater_type, type, (
% 0.13/0.42 greater: ( $i * $i ) > $o)).
% 0.13/0.42 tff(eta_type, type, (
% 0.13/0.42 eta: $i)).
% 0.13/0.42 tff(age_type, type, (
% 0.13/0.42 age: ( $i * $i ) > $i)).
% 0.13/0.42 tff(has_endowment_type, type, (
% 0.13/0.42 has_endowment: $i > $o)).
% 0.13/0.42 tff(sk4_type, type, (
% 0.13/0.42 sk4: $i)).
% 0.13/0.42 tff(smaller_or_equal_type, type, (
% 0.13/0.42 smaller_or_equal: ( $i * $i ) > $o)).
% 0.13/0.42 tff(hazard_of_mortality_type, type, (
% 0.13/0.42 hazard_of_mortality: ( $i * $i ) > $i)).
% 0.13/0.42 tff(sk3_type, type, (
% 0.13/0.42 sk3: $i)).
% 0.13/0.42 tff(zero_type, type, (
% 0.13/0.42 zero: $i)).
% 0.13/0.42 tff(smaller_type, type, (
% 0.13/0.42 smaller: ( $i * $i ) > $o)).
% 0.13/0.42 tff(organization_type, type, (
% 0.13/0.42 organization: $i > $o)).
% 0.13/0.42 tff(1,plain,
% 0.13/0.42 (greater(age(sk2, sk5), eta) <=> greater(age(sk2, sk5), eta)),
% 0.13/0.42 inference(rewrite,[status(thm)],[])).
% 0.13/0.42 tff(2,axiom,(greater(age(sk2, sk5), eta)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','theorem_6_44')).
% 0.13/0.42 tff(3,plain,
% 0.13/0.42 (greater(age(sk2, sk5), eta)),
% 0.13/0.42 inference(modus_ponens,[status(thm)],[2, 1])).
% 0.13/0.42 tff(4,plain,
% 0.13/0.42 (has_endowment(sk2) <=> has_endowment(sk2)),
% 0.13/0.42 inference(rewrite,[status(thm)],[])).
% 0.13/0.42 tff(5,axiom,(has_endowment(sk2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','theorem_6_41')).
% 0.13/0.42 tff(6,plain,
% 0.13/0.42 (has_endowment(sk2)),
% 0.13/0.42 inference(modus_ponens,[status(thm)],[5, 4])).
% 0.13/0.42 tff(7,plain,
% 0.13/0.42 (^[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))))),
% 0.13/0.42 inference(bind,[status(th)],[])).
% 0.13/0.42 tff(8,plain,
% 0.13/0.42 (![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)))),
% 0.13/0.42 inference(quant_intro,[status(thm)],[7])).
% 0.13/0.42 tff(9,plain,
% 0.13/0.42 (![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)))),
% 0.13/0.42 inference(rewrite,[status(thm)],[])).
% 0.13/0.42 tff(10,plain,
% 0.13/0.42 (^[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))))),
% 0.13/0.42 inference(bind,[status(th)],[])).
% 0.13/0.42 tff(11,plain,
% 0.13/0.42 (![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)))),
% 0.13/0.42 inference(quant_intro,[status(thm)],[10])).
% 0.13/0.42 tff(12,axiom,(![B: $i, A: $i] : (((~has_endowment(A)) | (~greater(age(A, B), eta))) | (~has_immunity(A, B)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','definition_1_33')).
% 0.13/0.42 tff(13,plain,
% 0.13/0.42 (![B: $i, A: $i] : ((~has_endowment(A)) | (~has_immunity(A, B)) | (~greater(age(A, B), eta)))),
% 0.13/0.42 inference(modus_ponens,[status(thm)],[12, 11])).
% 0.13/0.42 tff(14,plain,
% 0.13/0.42 (![B: $i, A: $i] : ((~has_endowment(A)) | (~has_immunity(A, B)) | (~greater(age(A, B), eta)))),
% 0.13/0.42 inference(modus_ponens,[status(thm)],[13, 9])).
% 0.13/0.42 tff(15,plain,(
% 0.13/0.42 ![B: $i, A: $i] : ((~has_endowment(A)) | (~has_immunity(A, B)) | (~greater(age(A, B), eta)))),
% 0.13/0.42 inference(skolemize,[status(sab)],[14])).
% 0.13/0.42 tff(16,plain,
% 0.13/0.42 (![B: $i, A: $i] : ((~has_endowment(A)) | (~has_immunity(A, B)) | (~greater(age(A, B), eta)))),
% 0.13/0.42 inference(modus_ponens,[status(thm)],[15, 8])).
% 0.13/0.42 tff(17,plain,
% 0.13/0.42 (((~![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)))),
% 0.13/0.42 inference(rewrite,[status(thm)],[])).
% 0.13/0.42 tff(18,plain,
% 0.13/0.42 ((~![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)))),
% 0.13/0.42 inference(quant_inst,[status(thm)],[])).
% 0.13/0.42 tff(19,plain,
% 0.13/0.42 ((~![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))),
% 0.13/0.42 inference(modus_ponens,[status(thm)],[18, 17])).
% 0.13/0.42 tff(20,plain,
% 0.13/0.42 (~has_immunity(sk2, sk5)),
% 0.13/0.42 inference(unit_resolution,[status(thm)],[19, 16, 6, 3])).
% 0.13/0.42 tff(21,plain,
% 0.13/0.42 (smaller_or_equal(age(sk2, sk4), eta) <=> smaller_or_equal(age(sk2, sk4), eta)),
% 0.13/0.42 inference(rewrite,[status(thm)],[])).
% 0.13/0.42 tff(22,axiom,(smaller_or_equal(age(sk2, sk4), eta)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','theorem_6_43')).
% 0.13/0.42 tff(23,plain,
% 0.13/0.42 (smaller_or_equal(age(sk2, sk4), eta)),
% 0.13/0.42 inference(modus_ponens,[status(thm)],[22, 21])).
% 0.13/0.42 tff(24,plain,
% 0.13/0.42 (^[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))))),
% 0.13/0.42 inference(bind,[status(th)],[])).
% 0.13/0.42 tff(25,plain,
% 0.13/0.42 (![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)))),
% 0.13/0.42 inference(quant_intro,[status(thm)],[24])).
% 0.13/0.42 tff(26,plain,
% 0.13/0.42 (![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)))),
% 0.13/0.42 inference(rewrite,[status(thm)],[])).
% 0.13/0.42 tff(27,plain,
% 0.13/0.42 (^[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))))),
% 0.13/0.42 inference(bind,[status(th)],[])).
% 0.13/0.42 tff(28,plain,
% 0.13/0.42 (![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)))),
% 0.13/0.42 inference(quant_intro,[status(thm)],[27])).
% 0.13/0.42 tff(29,axiom,(![B: $i, A: $i] : (((~has_endowment(A)) | (~smaller_or_equal(age(A, B), eta))) | has_immunity(A, B))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','definition_1_32')).
% 0.13/0.42 tff(30,plain,
% 0.13/0.42 (![B: $i, A: $i] : ((~has_endowment(A)) | has_immunity(A, B) | (~smaller_or_equal(age(A, B), eta)))),
% 0.13/0.42 inference(modus_ponens,[status(thm)],[29, 28])).
% 0.13/0.42 tff(31,plain,
% 0.13/0.42 (![B: $i, A: $i] : ((~has_endowment(A)) | has_immunity(A, B) | (~smaller_or_equal(age(A, B), eta)))),
% 0.13/0.42 inference(modus_ponens,[status(thm)],[30, 26])).
% 0.13/0.42 tff(32,plain,(
% 0.13/0.42 ![B: $i, A: $i] : ((~has_endowment(A)) | has_immunity(A, B) | (~smaller_or_equal(age(A, B), eta)))),
% 0.13/0.42 inference(skolemize,[status(sab)],[31])).
% 0.13/0.42 tff(33,plain,
% 0.13/0.42 (![B: $i, A: $i] : ((~has_endowment(A)) | has_immunity(A, B) | (~smaller_or_equal(age(A, B), eta)))),
% 0.13/0.42 inference(modus_ponens,[status(thm)],[32, 25])).
% 0.13/0.42 tff(34,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))) <=> ((~![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(35,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(36,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)],[35])).
% 0.13/0.42 tff(37,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)],[36, 34])).
% 0.13/0.42 tff(38,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(39,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)],[38, 37])).
% 0.13/0.42 tff(40,plain,
% 0.13/0.42 (has_immunity(sk2, sk4)),
% 0.13/0.42 inference(unit_resolution,[status(thm)],[39, 33, 6, 23])).
% 0.13/0.42 tff(41,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(42,axiom,(age(sk2, sk3) = zero), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','theorem_6_42')).
% 0.13/0.42 tff(43,plain,
% 0.13/0.42 (age(sk2, sk3) = zero),
% 0.13/0.42 inference(modus_ponens,[status(thm)],[42, 41])).
% 0.13/0.42 tff(44,plain,
% 0.13/0.42 (zero = age(sk2, sk3)),
% 0.13/0.42 inference(symmetry,[status(thm)],[43])).
% 0.13/0.42 tff(45,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)],[44])).
% 0.13/0.42 tff(46,plain,
% 0.13/0.42 (greater(eta, zero) <=> greater(eta, zero)),
% 0.13/0.42 inference(rewrite,[status(thm)],[])).
% 0.13/0.42 tff(47,axiom,(greater(eta, zero)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','theorem_6_45')).
% 0.13/0.42 tff(48,plain,
% 0.13/0.42 (greater(eta, zero)),
% 0.13/0.42 inference(modus_ponens,[status(thm)],[47, 46])).
% 0.13/0.42 tff(49,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(50,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)],[49])).
% 0.13/0.42 tff(51,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(52,axiom,(![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))), file('/export/starexec/sandbox2/benchmark/Axioms/MGT001-0.ax','definition_smaller_8')).
% 0.13/0.42 tff(53,plain,
% 0.13/0.42 (![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))),
% 0.13/0.42 inference(modus_ponens,[status(thm)],[52, 51])).
% 0.13/0.42 tff(54,plain,(
% 0.13/0.42 ![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))),
% 0.13/0.42 inference(skolemize,[status(sab)],[53])).
% 0.13/0.42 tff(55,plain,
% 0.13/0.42 (![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))),
% 0.13/0.42 inference(modus_ponens,[status(thm)],[54, 50])).
% 0.13/0.42 tff(56,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(57,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(58,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)],[57, 56])).
% 0.13/0.42 tff(59,plain,
% 0.13/0.42 (smaller(zero, eta)),
% 0.13/0.42 inference(unit_resolution,[status(thm)],[58, 55, 48])).
% 0.13/0.42 tff(60,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(61,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)],[60])).
% 0.13/0.42 tff(62,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(63,axiom,(![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B))), file('/export/starexec/sandbox2/benchmark/Axioms/MGT001-0.ax','definition_smaller_or_equal_2')).
% 0.13/0.42 tff(64,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)],[63, 62])).
% 0.13/0.42 tff(65,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)],[64])).
% 0.13/0.42 tff(66,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)],[65, 61])).
% 0.13/0.42 tff(67,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(68,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(69,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)],[68, 67])).
% 0.13/0.42 tff(70,plain,
% 0.13/0.42 (smaller_or_equal(zero, eta)),
% 0.13/0.42 inference(unit_resolution,[status(thm)],[69, 66, 59])).
% 0.13/0.42 tff(71,plain,
% 0.13/0.42 (smaller_or_equal(age(sk2, sk3), eta)),
% 0.13/0.42 inference(modus_ponens,[status(thm)],[70, 45])).
% 0.13/0.42 tff(72,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(73,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(74,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)],[73, 72])).
% 0.13/0.42 tff(75,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)],[74, 33, 6])).
% 0.13/0.42 tff(76,plain,
% 0.13/0.42 (has_immunity(sk2, sk3)),
% 0.13/0.42 inference(unit_resolution,[status(thm)],[75, 71])).
% 0.13/0.42 tff(77,assumption,(~(hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3))), introduced(assumption)).
% 0.13/0.42 tff(78,plain,
% 0.13/0.42 (organization(sk2) <=> organization(sk2)),
% 0.13/0.42 inference(rewrite,[status(thm)],[])).
% 0.13/0.42 tff(79,axiom,(organization(sk2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','theorem_6_40')).
% 0.13/0.42 tff(80,plain,
% 0.13/0.42 (organization(sk2)),
% 0.13/0.42 inference(modus_ponens,[status(thm)],[79, 78])).
% 0.13/0.42 tff(81,plain,
% 0.13/0.42 (^[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))))),
% 0.13/0.42 inference(bind,[status(th)],[])).
% 0.13/0.42 tff(82,plain,
% 0.13/0.42 (![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)))),
% 0.13/0.43 inference(quant_intro,[status(thm)],[81])).
% 0.13/0.43 tff(83,plain,
% 0.13/0.43 (![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)))),
% 0.13/0.43 inference(rewrite,[status(thm)],[])).
% 0.13/0.43 tff(84,plain,
% 0.13/0.43 (^[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)))))),
% 0.13/0.43 inference(bind,[status(th)],[])).
% 0.13/0.43 tff(85,plain,
% 0.13/0.43 (![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)))),
% 0.13/0.43 inference(quant_intro,[status(thm)],[84])).
% 0.13/0.43 tff(86,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/sandbox2/benchmark/theBenchmark.p','assumption_2_38')).
% 0.13/0.43 tff(87,plain,
% 0.13/0.43 (![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)))),
% 0.13/0.43 inference(modus_ponens,[status(thm)],[86, 85])).
% 0.13/0.43 tff(88,plain,
% 0.13/0.43 (![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)))),
% 0.13/0.43 inference(modus_ponens,[status(thm)],[87, 83])).
% 0.13/0.43 tff(89,plain,(
% 0.13/0.43 ![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)))),
% 0.13/0.43 inference(skolemize,[status(sab)],[88])).
% 0.13/0.43 tff(90,plain,
% 0.13/0.43 (![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)))),
% 0.13/0.43 inference(modus_ponens,[status(thm)],[89, 82])).
% 0.13/0.43 tff(91,plain,
% 0.13/0.43 (((~![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, sk4)) | (~has_immunity(sk2, sk3)) | (~organization(sk2)))) <=> ((~![B: $i, A: $i, C: $i] : ((hazard_of_mortality(A, B) = hazard_of_mortality(A, C)) | (~has_immunity(A, C)) | (~has_immunity(A, B)) | (~organization(A)))) | (hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3)) | (~has_immunity(sk2, sk4)) | (~has_immunity(sk2, sk3)) | (~organization(sk2)))),
% 0.13/0.43 inference(rewrite,[status(thm)],[])).
% 0.13/0.43 tff(92,plain,
% 0.13/0.43 (((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)) | (~has_immunity(sk2, sk4)) | (~has_immunity(sk2, sk3)) | (~organization(sk2)))),
% 0.13/0.43 inference(rewrite,[status(thm)],[])).
% 0.13/0.43 tff(93,plain,
% 0.13/0.43 (((~![B: $i, A: $i, C: $i] : ((hazard_of_mortality(A, B) = hazard_of_mortality(A, C)) | (~has_immunity(A, C)) | (~has_immunity(A, B)) | (~organization(A)))) | ((hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3)) | (~has_immunity(sk2, sk3)) | (~has_immunity(sk2, sk4)) | (~organization(sk2)))) <=> ((~![B: $i, A: $i, C: $i] : ((hazard_of_mortality(A, B) = hazard_of_mortality(A, C)) | (~has_immunity(A, C)) | (~has_immunity(A, B)) | (~organization(A)))) | ((hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3)) | (~has_immunity(sk2, sk4)) | (~has_immunity(sk2, sk3)) | (~organization(sk2))))),
% 0.13/0.43 inference(monotonicity,[status(thm)],[92])).
% 0.13/0.43 tff(94,plain,
% 0.13/0.43 (((~![B: $i, A: $i, C: $i] : ((hazard_of_mortality(A, B) = hazard_of_mortality(A, C)) | (~has_immunity(A, C)) | (~has_immunity(A, B)) | (~organization(A)))) | ((hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3)) | (~has_immunity(sk2, sk3)) | (~has_immunity(sk2, sk4)) | (~organization(sk2)))) <=> ((~![B: $i, A: $i, C: $i] : ((hazard_of_mortality(A, B) = hazard_of_mortality(A, C)) | (~has_immunity(A, C)) | (~has_immunity(A, B)) | (~organization(A)))) | (hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3)) | (~has_immunity(sk2, sk4)) | (~has_immunity(sk2, sk3)) | (~organization(sk2)))),
% 0.13/0.43 inference(transitivity,[status(thm)],[93, 91])).
% 0.13/0.43 tff(95,plain,
% 0.13/0.43 ((~![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)))),
% 0.13/0.43 inference(quant_inst,[status(thm)],[])).
% 0.13/0.43 tff(96,plain,
% 0.13/0.43 ((~![B: $i, A: $i, C: $i] : ((hazard_of_mortality(A, B) = hazard_of_mortality(A, C)) | (~has_immunity(A, C)) | (~has_immunity(A, B)) | (~organization(A)))) | (hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3)) | (~has_immunity(sk2, sk4)) | (~has_immunity(sk2, sk3)) | (~organization(sk2))),
% 0.13/0.43 inference(modus_ponens,[status(thm)],[95, 94])).
% 0.13/0.43 tff(97,plain,
% 0.13/0.43 ($false),
% 0.13/0.43 inference(unit_resolution,[status(thm)],[96, 90, 80, 77, 76, 40])).
% 0.13/0.43 tff(98,plain,(hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3)), inference(lemma,lemma(discharge,[]))).
% 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)))) <=> ((~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(100,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/sandbox2/benchmark/theBenchmark.p','theorem_6_46')).
% 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, 99])).
% 0.13/0.43 tff(102,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)],[101, 99])).
% 0.13/0.43 tff(103,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)],[102, 99])).
% 0.13/0.43 tff(104,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)],[103, 99])).
% 0.13/0.43 tff(105,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)],[104, 99])).
% 0.13/0.43 tff(106,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)],[105, 98])).
% 0.13/0.43 tff(107,plain,
% 0.13/0.43 (^[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))))),
% 0.13/0.43 inference(bind,[status(th)],[])).
% 0.13/0.43 tff(108,plain,
% 0.13/0.43 (![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))) <=> ![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)))),
% 0.13/0.43 inference(quant_intro,[status(thm)],[107])).
% 0.13/0.43 tff(109,plain,
% 0.13/0.43 (![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))) <=> ![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)))),
% 0.13/0.43 inference(rewrite,[status(thm)],[])).
% 0.13/0.43 tff(110,plain,
% 0.13/0.43 (^[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)))))),
% 0.13/0.43 inference(bind,[status(th)],[])).
% 0.13/0.43 tff(111,plain,
% 0.13/0.43 (![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)))),
% 0.13/0.43 inference(quant_intro,[status(thm)],[110])).
% 0.13/0.43 tff(112,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/sandbox2/benchmark/theBenchmark.p','assumption_3_39')).
% 0.13/0.43 tff(113,plain,
% 0.13/0.43 (![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)))),
% 0.13/0.43 inference(modus_ponens,[status(thm)],[112, 111])).
% 0.13/0.43 tff(114,plain,
% 0.13/0.43 (![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)))),
% 0.13/0.43 inference(modus_ponens,[status(thm)],[113, 109])).
% 0.13/0.43 tff(115,plain,(
% 0.13/0.43 ![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)))),
% 0.13/0.43 inference(skolemize,[status(sab)],[114])).
% 0.13/0.43 tff(116,plain,
% 0.13/0.43 (![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)))),
% 0.13/0.43 inference(modus_ponens,[status(thm)],[115, 108])).
% 0.13/0.43 tff(117,plain,
% 0.13/0.43 (((~![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, sk5), hazard_of_mortality(sk2, sk4)) | (~has_immunity(sk2, sk4)) | has_immunity(sk2, sk5) | (~organization(sk2)))) <=> ((~![B: $i, A: $i, C: $i] : (greater(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | has_immunity(A, C) | (~has_immunity(A, B)) | (~organization(A)))) | greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4)) | (~has_immunity(sk2, sk4)) | has_immunity(sk2, sk5) | (~organization(sk2)))),
% 0.13/0.44 inference(rewrite,[status(thm)],[])).
% 0.13/0.44 tff(118,plain,
% 0.13/0.44 ((greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4)) | has_immunity(sk2, sk5) | (~has_immunity(sk2, sk4)) | (~organization(sk2))) <=> (greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4)) | (~has_immunity(sk2, sk4)) | has_immunity(sk2, sk5) | (~organization(sk2)))),
% 0.13/0.44 inference(rewrite,[status(thm)],[])).
% 0.13/0.44 tff(119,plain,
% 0.13/0.44 (((~![B: $i, A: $i, C: $i] : (greater(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | has_immunity(A, C) | (~has_immunity(A, B)) | (~organization(A)))) | (greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4)) | has_immunity(sk2, sk5) | (~has_immunity(sk2, sk4)) | (~organization(sk2)))) <=> ((~![B: $i, A: $i, C: $i] : (greater(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | has_immunity(A, C) | (~has_immunity(A, B)) | (~organization(A)))) | (greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4)) | (~has_immunity(sk2, sk4)) | has_immunity(sk2, sk5) | (~organization(sk2))))),
% 0.13/0.44 inference(monotonicity,[status(thm)],[118])).
% 0.13/0.44 tff(120,plain,
% 0.13/0.44 (((~![B: $i, A: $i, C: $i] : (greater(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | has_immunity(A, C) | (~has_immunity(A, B)) | (~organization(A)))) | (greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4)) | has_immunity(sk2, sk5) | (~has_immunity(sk2, sk4)) | (~organization(sk2)))) <=> ((~![B: $i, A: $i, C: $i] : (greater(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | has_immunity(A, C) | (~has_immunity(A, B)) | (~organization(A)))) | greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4)) | (~has_immunity(sk2, sk4)) | has_immunity(sk2, sk5) | (~organization(sk2)))),
% 0.13/0.44 inference(transitivity,[status(thm)],[119, 117])).
% 0.13/0.44 tff(121,plain,
% 0.13/0.44 ((~![B: $i, A: $i, C: $i] : (greater(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | has_immunity(A, C) | (~has_immunity(A, B)) | (~organization(A)))) | (greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4)) | has_immunity(sk2, sk5) | (~has_immunity(sk2, sk4)) | (~organization(sk2)))),
% 0.13/0.44 inference(quant_inst,[status(thm)],[])).
% 0.13/0.44 tff(122,plain,
% 0.13/0.44 ((~![B: $i, A: $i, C: $i] : (greater(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | has_immunity(A, C) | (~has_immunity(A, B)) | (~organization(A)))) | greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4)) | (~has_immunity(sk2, sk4)) | has_immunity(sk2, sk5) | (~organization(sk2))),
% 0.13/0.44 inference(modus_ponens,[status(thm)],[121, 120])).
% 0.13/0.44 tff(123,plain,
% 0.13/0.44 ($false),
% 0.13/0.44 inference(unit_resolution,[status(thm)],[122, 116, 80, 106, 40, 20])).
% 0.13/0.44 % SZS output end Proof
% 0.13/0.44 % E exiting
%------------------------------------------------------------------------------