%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : MGT062-1 : TPTP v9.3.0. Released v2.4.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : run_E %s %d THM
% Computer : n010.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 06:24:09 AM UTC 2026
% Result : Unsatisfiable 0.22s 0.47s
% Output : Proof 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT062-1 : TPTP v9.3.0. Released v2.4.0.
% 0.00/0.03 % Command : run_E %s %d THM
% 0.08/0.35 % Computer : n010.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 7 13:39:42 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.22/0.47 % SZS status Unsatisfiable
% 0.22/0.47 % SZS output start Proof
% 0.22/0.47 tff(has_immunity_type, type, (
% 0.22/0.47 has_immunity: ( $i * $i ) > $o)).
% 0.22/0.47 tff(sk5_type, type, (
% 0.22/0.47 sk5: $i)).
% 0.22/0.47 tff(sk2_type, type, (
% 0.22/0.47 sk2: $i)).
% 0.22/0.47 tff(is_aligned_type, type, (
% 0.22/0.47 is_aligned: ( $i * $i ) > $o)).
% 0.22/0.47 tff(dissimilar_type, type, (
% 0.22/0.47 dissimilar: ( $i * $i * $i ) > $o)).
% 0.22/0.47 tff(sk3_type, type, (
% 0.22/0.47 sk3: $i)).
% 0.22/0.47 tff(greater_type, type, (
% 0.22/0.47 greater: ( $i * $i ) > $o)).
% 0.22/0.47 tff(sigma_type, type, (
% 0.22/0.47 sigma: $i)).
% 0.22/0.47 tff(age_type, type, (
% 0.22/0.47 age: ( $i * $i ) > $i)).
% 0.22/0.47 tff(zero_type, type, (
% 0.22/0.47 zero: $i)).
% 0.22/0.47 tff(organization_type, type, (
% 0.22/0.47 organization: $i > $o)).
% 0.22/0.47 tff(mod1_type, type, (
% 0.22/0.47 mod1: $i)).
% 0.22/0.47 tff(hazard_of_mortality_type, type, (
% 0.22/0.47 hazard_of_mortality: ( $i * $i ) > $i)).
% 0.22/0.47 tff(smaller_type, type, (
% 0.22/0.47 smaller: ( $i * $i ) > $o)).
% 0.22/0.47 tff(mod2_type, type, (
% 0.22/0.47 mod2: $i)).
% 0.22/0.47 tff(sk4_type, type, (
% 0.22/0.47 sk4: $i)).
% 0.22/0.47 tff(has_endowment_type, type, (
% 0.22/0.47 has_endowment: $i > $o)).
% 0.22/0.47 tff(tau_type, type, (
% 0.22/0.47 tau: $i)).
% 0.22/0.47 tff(positional_advantage_type, type, (
% 0.22/0.47 positional_advantage: ( $i * $i ) > $o)).
% 0.22/0.47 tff(smaller_or_equal_type, type, (
% 0.22/0.47 smaller_or_equal: ( $i * $i ) > $o)).
% 0.22/0.47 tff(robust_position_type, type, (
% 0.22/0.47 robust_position: $i > $o)).
% 0.22/0.47 tff(1,plain,
% 0.22/0.47 (greater(age(sk2, sk5), sigma) <=> greater(age(sk2, sk5), sigma)),
% 0.22/0.47 inference(rewrite,[status(thm)],[])).
% 0.22/0.47 tff(2,axiom,(greater(age(sk2, sk5), sigma)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','theorem_8_70')).
% 0.22/0.47 tff(3,plain,
% 0.22/0.47 (greater(age(sk2, sk5), sigma)),
% 0.22/0.47 inference(modus_ponens,[status(thm)],[2, 1])).
% 0.22/0.47 tff(4,plain,
% 0.22/0.47 ((age(sk2, sk3) = zero) <=> (age(sk2, sk3) = zero)),
% 0.22/0.47 inference(rewrite,[status(thm)],[])).
% 0.22/0.47 tff(5,axiom,(age(sk2, sk3) = zero), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','theorem_8_65')).
% 0.22/0.47 tff(6,plain,
% 0.22/0.47 (age(sk2, sk3) = zero),
% 0.22/0.47 inference(modus_ponens,[status(thm)],[5, 4])).
% 0.22/0.47 tff(7,plain,
% 0.22/0.47 (organization(sk2) <=> organization(sk2)),
% 0.22/0.47 inference(rewrite,[status(thm)],[])).
% 0.22/0.47 tff(8,axiom,(organization(sk2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','theorem_8_62')).
% 0.22/0.47 tff(9,plain,
% 0.22/0.47 (organization(sk2)),
% 0.22/0.47 inference(modus_ponens,[status(thm)],[8, 7])).
% 0.22/0.47 tff(10,plain,
% 0.22/0.47 (^[B: $i, A: $i, C: $i] : refl((dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = zero))) <=> (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = zero))))),
% 0.22/0.47 inference(bind,[status(th)],[])).
% 0.22/0.47 tff(11,plain,
% 0.22/0.47 (![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = zero))) <=> ![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = zero)))),
% 0.22/0.47 inference(quant_intro,[status(thm)],[10])).
% 0.22/0.47 tff(12,plain,
% 0.22/0.47 (![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = zero))) <=> ![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = zero)))),
% 0.22/0.47 inference(rewrite,[status(thm)],[])).
% 0.22/0.47 tff(13,plain,
% 0.22/0.47 (^[B: $i, A: $i, C: $i] : trans(monotonicity(rewrite((((~organization(A)) | (~(age(A, B) = zero))) | (~greater(age(A, C), sigma))) <=> ((~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = zero)))), (((((~organization(A)) | (~(age(A, B) = zero))) | (~greater(age(A, C), sigma))) | dissimilar(A, B, C)) <=> (((~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = zero))) | dissimilar(A, B, C)))), rewrite((((~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = zero))) | dissimilar(A, B, C)) <=> (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = zero)))), (((((~organization(A)) | (~(age(A, B) = zero))) | (~greater(age(A, C), sigma))) | dissimilar(A, B, C)) <=> (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = zero)))))),
% 0.22/0.47 inference(bind,[status(th)],[])).
% 0.22/0.47 tff(14,plain,
% 0.22/0.47 (![B: $i, A: $i, C: $i] : ((((~organization(A)) | (~(age(A, B) = zero))) | (~greater(age(A, C), sigma))) | dissimilar(A, B, C)) <=> ![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = zero)))),
% 0.22/0.47 inference(quant_intro,[status(thm)],[13])).
% 0.22/0.47 tff(15,axiom,(![B: $i, A: $i, C: $i] : ((((~organization(A)) | (~(age(A, B) = zero))) | (~greater(age(A, C), sigma))) | dissimilar(A, B, C))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','assumption_15_48')).
% 0.22/0.47 tff(16,plain,
% 0.22/0.47 (![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = zero)))),
% 0.22/0.47 inference(modus_ponens,[status(thm)],[15, 14])).
% 0.22/0.47 tff(17,plain,
% 0.22/0.47 (![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = zero)))),
% 0.22/0.47 inference(modus_ponens,[status(thm)],[16, 12])).
% 0.22/0.47 tff(18,plain,(
% 0.22/0.47 ![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = zero)))),
% 0.22/0.47 inference(skolemize,[status(sab)],[17])).
% 0.22/0.47 tff(19,plain,
% 0.22/0.47 (![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = zero)))),
% 0.22/0.47 inference(modus_ponens,[status(thm)],[18, 11])).
% 0.22/0.47 tff(20,plain,
% 0.22/0.47 (((~![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = zero)))) | ((~organization(sk2)) | (~(age(sk2, sk3) = zero)) | (~greater(age(sk2, sk5), sigma)) | dissimilar(sk2, sk3, sk5))) <=> ((~![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = zero)))) | (~organization(sk2)) | (~(age(sk2, sk3) = zero)) | (~greater(age(sk2, sk5), sigma)) | dissimilar(sk2, sk3, sk5))),
% 0.22/0.47 inference(rewrite,[status(thm)],[])).
% 0.22/0.47 tff(21,plain,
% 0.22/0.47 ((dissimilar(sk2, sk3, sk5) | (~organization(sk2)) | (~greater(age(sk2, sk5), sigma)) | (~(age(sk2, sk3) = zero))) <=> ((~organization(sk2)) | (~(age(sk2, sk3) = zero)) | (~greater(age(sk2, sk5), sigma)) | dissimilar(sk2, sk3, sk5))),
% 0.22/0.47 inference(rewrite,[status(thm)],[])).
% 0.22/0.47 tff(22,plain,
% 0.22/0.47 (((~![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = zero)))) | (dissimilar(sk2, sk3, sk5) | (~organization(sk2)) | (~greater(age(sk2, sk5), sigma)) | (~(age(sk2, sk3) = zero)))) <=> ((~![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = zero)))) | ((~organization(sk2)) | (~(age(sk2, sk3) = zero)) | (~greater(age(sk2, sk5), sigma)) | dissimilar(sk2, sk3, sk5)))),
% 0.22/0.47 inference(monotonicity,[status(thm)],[21])).
% 0.22/0.47 tff(23,plain,
% 0.22/0.47 (((~![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = zero)))) | (dissimilar(sk2, sk3, sk5) | (~organization(sk2)) | (~greater(age(sk2, sk5), sigma)) | (~(age(sk2, sk3) = zero)))) <=> ((~![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = zero)))) | (~organization(sk2)) | (~(age(sk2, sk3) = zero)) | (~greater(age(sk2, sk5), sigma)) | dissimilar(sk2, sk3, sk5))),
% 0.22/0.47 inference(transitivity,[status(thm)],[22, 20])).
% 0.22/0.47 tff(24,plain,
% 0.22/0.47 ((~![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = zero)))) | (dissimilar(sk2, sk3, sk5) | (~organization(sk2)) | (~greater(age(sk2, sk5), sigma)) | (~(age(sk2, sk3) = zero)))),
% 0.22/0.47 inference(quant_inst,[status(thm)],[])).
% 0.22/0.47 tff(25,plain,
% 0.22/0.47 ((~![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = zero)))) | (~organization(sk2)) | (~(age(sk2, sk3) = zero)) | (~greater(age(sk2, sk5), sigma)) | dissimilar(sk2, sk3, sk5)),
% 0.22/0.47 inference(modus_ponens,[status(thm)],[24, 23])).
% 0.22/0.47 tff(26,plain,
% 0.22/0.47 (dissimilar(sk2, sk3, sk5)),
% 0.22/0.47 inference(unit_resolution,[status(thm)],[25, 19, 9, 6, 3])).
% 0.22/0.47 tff(27,plain,
% 0.22/0.47 (^[B: $i, A: $i] : refl(((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = zero))) <=> ((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = zero))))),
% 0.22/0.47 inference(bind,[status(th)],[])).
% 0.22/0.48 tff(28,plain,
% 0.22/0.48 (![B: $i, A: $i] : ((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = zero))) <=> ![B: $i, A: $i] : ((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = zero)))),
% 0.22/0.48 inference(quant_intro,[status(thm)],[27])).
% 0.22/0.48 tff(29,plain,
% 0.22/0.48 (![B: $i, A: $i] : ((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = zero))) <=> ![B: $i, A: $i] : ((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = zero)))),
% 0.22/0.48 inference(rewrite,[status(thm)],[])).
% 0.22/0.48 tff(30,plain,
% 0.22/0.48 (^[B: $i, A: $i] : rewrite((((~organization(A)) | (~(age(A, B) = zero))) | is_aligned(A, B)) <=> ((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = zero))))),
% 0.22/0.48 inference(bind,[status(th)],[])).
% 0.22/0.48 tff(31,plain,
% 0.22/0.48 (![B: $i, A: $i] : (((~organization(A)) | (~(age(A, B) = zero))) | is_aligned(A, B)) <=> ![B: $i, A: $i] : ((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = zero)))),
% 0.22/0.48 inference(quant_intro,[status(thm)],[30])).
% 0.22/0.48 tff(32,axiom,(![B: $i, A: $i] : (((~organization(A)) | (~(age(A, B) = zero))) | is_aligned(A, B))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','assumption_13_47')).
% 0.22/0.48 tff(33,plain,
% 0.22/0.48 (![B: $i, A: $i] : ((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = zero)))),
% 0.22/0.48 inference(modus_ponens,[status(thm)],[32, 31])).
% 0.22/0.48 tff(34,plain,
% 0.22/0.48 (![B: $i, A: $i] : ((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = zero)))),
% 0.22/0.48 inference(modus_ponens,[status(thm)],[33, 29])).
% 0.22/0.48 tff(35,plain,(
% 0.22/0.48 ![B: $i, A: $i] : ((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = zero)))),
% 0.22/0.48 inference(skolemize,[status(sab)],[34])).
% 0.22/0.48 tff(36,plain,
% 0.22/0.48 (![B: $i, A: $i] : ((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = zero)))),
% 0.22/0.48 inference(modus_ponens,[status(thm)],[35, 28])).
% 0.22/0.48 tff(37,plain,
% 0.22/0.48 (((~![B: $i, A: $i] : ((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = zero)))) | ((~organization(sk2)) | is_aligned(sk2, sk3) | (~(age(sk2, sk3) = zero)))) <=> ((~![B: $i, A: $i] : ((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = zero)))) | (~organization(sk2)) | is_aligned(sk2, sk3) | (~(age(sk2, sk3) = zero)))),
% 0.22/0.48 inference(rewrite,[status(thm)],[])).
% 0.22/0.48 tff(38,plain,
% 0.22/0.48 ((~![B: $i, A: $i] : ((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = zero)))) | ((~organization(sk2)) | is_aligned(sk2, sk3) | (~(age(sk2, sk3) = zero)))),
% 0.22/0.48 inference(quant_inst,[status(thm)],[])).
% 0.22/0.48 tff(39,plain,
% 0.22/0.48 ((~![B: $i, A: $i] : ((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = zero)))) | (~organization(sk2)) | is_aligned(sk2, sk3) | (~(age(sk2, sk3) = zero))),
% 0.22/0.48 inference(modus_ponens,[status(thm)],[38, 37])).
% 0.22/0.48 tff(40,plain,
% 0.22/0.48 (is_aligned(sk2, sk3)),
% 0.22/0.48 inference(unit_resolution,[status(thm)],[39, 36, 9, 6])).
% 0.22/0.48 tff(41,plain,
% 0.22/0.48 (^[B: $i, A: $i, C: $i] : refl(((~dissimilar(A, B, C)) | (~is_aligned(A, C)) | (~is_aligned(A, B))) <=> ((~dissimilar(A, B, C)) | (~is_aligned(A, C)) | (~is_aligned(A, B))))),
% 0.22/0.48 inference(bind,[status(th)],[])).
% 0.22/0.48 tff(42,plain,
% 0.22/0.48 (![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~is_aligned(A, C)) | (~is_aligned(A, B))) <=> ![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~is_aligned(A, C)) | (~is_aligned(A, B)))),
% 0.22/0.48 inference(quant_intro,[status(thm)],[41])).
% 0.22/0.48 tff(43,plain,
% 0.22/0.48 (![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~is_aligned(A, C)) | (~is_aligned(A, B))) <=> ![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~is_aligned(A, C)) | (~is_aligned(A, B)))),
% 0.22/0.48 inference(rewrite,[status(thm)],[])).
% 0.22/0.48 tff(44,plain,
% 0.22/0.48 (^[B: $i, A: $i, C: $i] : trans(monotonicity(rewrite(((~dissimilar(A, B, C)) | (~is_aligned(A, B))) <=> ((~dissimilar(A, B, C)) | (~is_aligned(A, B)))), ((((~dissimilar(A, B, C)) | (~is_aligned(A, B))) | (~is_aligned(A, C))) <=> (((~dissimilar(A, B, C)) | (~is_aligned(A, B))) | (~is_aligned(A, C))))), rewrite((((~dissimilar(A, B, C)) | (~is_aligned(A, B))) | (~is_aligned(A, C))) <=> ((~dissimilar(A, B, C)) | (~is_aligned(A, C)) | (~is_aligned(A, B)))), ((((~dissimilar(A, B, C)) | (~is_aligned(A, B))) | (~is_aligned(A, C))) <=> ((~dissimilar(A, B, C)) | (~is_aligned(A, C)) | (~is_aligned(A, B)))))),
% 0.22/0.48 inference(bind,[status(th)],[])).
% 0.22/0.48 tff(45,plain,
% 0.22/0.48 (![B: $i, A: $i, C: $i] : (((~dissimilar(A, B, C)) | (~is_aligned(A, B))) | (~is_aligned(A, C))) <=> ![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~is_aligned(A, C)) | (~is_aligned(A, B)))),
% 0.22/0.48 inference(quant_intro,[status(thm)],[44])).
% 0.22/0.48 tff(46,axiom,(![B: $i, A: $i, C: $i] : (((~dissimilar(A, B, C)) | (~is_aligned(A, B))) | (~is_aligned(A, C)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','definition_2_42')).
% 0.22/0.48 tff(47,plain,
% 0.22/0.48 (![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~is_aligned(A, C)) | (~is_aligned(A, B)))),
% 0.22/0.48 inference(modus_ponens,[status(thm)],[46, 45])).
% 0.22/0.48 tff(48,plain,
% 0.22/0.48 (![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~is_aligned(A, C)) | (~is_aligned(A, B)))),
% 0.22/0.48 inference(modus_ponens,[status(thm)],[47, 43])).
% 0.22/0.48 tff(49,plain,(
% 0.22/0.48 ![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~is_aligned(A, C)) | (~is_aligned(A, B)))),
% 0.22/0.48 inference(skolemize,[status(sab)],[48])).
% 0.22/0.48 tff(50,plain,
% 0.22/0.48 (![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~is_aligned(A, C)) | (~is_aligned(A, B)))),
% 0.22/0.48 inference(modus_ponens,[status(thm)],[49, 42])).
% 0.22/0.48 tff(51,plain,
% 0.22/0.48 (((~![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~is_aligned(A, C)) | (~is_aligned(A, B)))) | ((~is_aligned(sk2, sk3)) | (~is_aligned(sk2, sk5)) | (~dissimilar(sk2, sk3, sk5)))) <=> ((~![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~is_aligned(A, C)) | (~is_aligned(A, B)))) | (~is_aligned(sk2, sk3)) | (~is_aligned(sk2, sk5)) | (~dissimilar(sk2, sk3, sk5)))),
% 0.22/0.48 inference(rewrite,[status(thm)],[])).
% 0.22/0.48 tff(52,plain,
% 0.22/0.48 (((~dissimilar(sk2, sk3, sk5)) | (~is_aligned(sk2, sk5)) | (~is_aligned(sk2, sk3))) <=> ((~is_aligned(sk2, sk3)) | (~is_aligned(sk2, sk5)) | (~dissimilar(sk2, sk3, sk5)))),
% 0.22/0.48 inference(rewrite,[status(thm)],[])).
% 0.22/0.48 tff(53,plain,
% 0.22/0.48 (((~![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~is_aligned(A, C)) | (~is_aligned(A, B)))) | ((~dissimilar(sk2, sk3, sk5)) | (~is_aligned(sk2, sk5)) | (~is_aligned(sk2, sk3)))) <=> ((~![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~is_aligned(A, C)) | (~is_aligned(A, B)))) | ((~is_aligned(sk2, sk3)) | (~is_aligned(sk2, sk5)) | (~dissimilar(sk2, sk3, sk5))))),
% 0.22/0.48 inference(monotonicity,[status(thm)],[52])).
% 0.22/0.48 tff(54,plain,
% 0.22/0.48 (((~![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~is_aligned(A, C)) | (~is_aligned(A, B)))) | ((~dissimilar(sk2, sk3, sk5)) | (~is_aligned(sk2, sk5)) | (~is_aligned(sk2, sk3)))) <=> ((~![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~is_aligned(A, C)) | (~is_aligned(A, B)))) | (~is_aligned(sk2, sk3)) | (~is_aligned(sk2, sk5)) | (~dissimilar(sk2, sk3, sk5)))),
% 0.22/0.48 inference(transitivity,[status(thm)],[53, 51])).
% 0.22/0.48 tff(55,plain,
% 0.22/0.48 ((~![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~is_aligned(A, C)) | (~is_aligned(A, B)))) | ((~dissimilar(sk2, sk3, sk5)) | (~is_aligned(sk2, sk5)) | (~is_aligned(sk2, sk3)))),
% 0.22/0.48 inference(quant_inst,[status(thm)],[])).
% 0.22/0.48 tff(56,plain,
% 0.22/0.48 ((~![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~is_aligned(A, C)) | (~is_aligned(A, B)))) | (~is_aligned(sk2, sk3)) | (~is_aligned(sk2, sk5)) | (~dissimilar(sk2, sk3, sk5))),
% 0.22/0.48 inference(modus_ponens,[status(thm)],[55, 54])).
% 0.22/0.48 tff(57,plain,
% 0.22/0.48 (~is_aligned(sk2, sk5)),
% 0.22/0.48 inference(unit_resolution,[status(thm)],[56, 50, 40, 26])).
% 0.22/0.48 tff(58,assumption,(has_immunity(sk2, sk4)), introduced(assumption)).
% 0.22/0.48 tff(59,plain,
% 0.22/0.48 ((~has_endowment(sk2)) <=> (~has_endowment(sk2))),
% 0.22/0.48 inference(rewrite,[status(thm)],[])).
% 0.22/0.48 tff(60,axiom,(~has_endowment(sk2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','theorem_8_64')).
% 0.22/0.48 tff(61,plain,
% 0.22/0.48 (~has_endowment(sk2)),
% 0.22/0.48 inference(modus_ponens,[status(thm)],[60, 59])).
% 0.22/0.48 tff(62,plain,
% 0.22/0.48 (^[B: $i, A: $i] : refl(((~has_immunity(A, B)) | has_endowment(A) | (~organization(A))) <=> ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A))))),
% 0.22/0.48 inference(bind,[status(th)],[])).
% 0.22/0.48 tff(63,plain,
% 0.22/0.48 (![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A))) <=> ![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))),
% 0.22/0.48 inference(quant_intro,[status(thm)],[62])).
% 0.22/0.48 tff(64,plain,
% 0.22/0.48 (![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A))) <=> ![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))),
% 0.22/0.48 inference(rewrite,[status(thm)],[])).
% 0.22/0.48 tff(65,plain,
% 0.22/0.48 (^[B: $i, A: $i] : trans(monotonicity(rewrite(((~organization(A)) | has_endowment(A)) <=> (has_endowment(A) | (~organization(A)))), ((((~organization(A)) | has_endowment(A)) | (~has_immunity(A, B))) <=> ((has_endowment(A) | (~organization(A))) | (~has_immunity(A, B))))), rewrite(((has_endowment(A) | (~organization(A))) | (~has_immunity(A, B))) <=> ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))), ((((~organization(A)) | has_endowment(A)) | (~has_immunity(A, B))) <=> ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))))),
% 0.22/0.48 inference(bind,[status(th)],[])).
% 0.22/0.48 tff(66,plain,
% 0.22/0.48 (![B: $i, A: $i] : (((~organization(A)) | has_endowment(A)) | (~has_immunity(A, B))) <=> ![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))),
% 0.22/0.48 inference(quant_intro,[status(thm)],[65])).
% 0.22/0.48 tff(67,axiom,(![B: $i, A: $i] : (((~organization(A)) | has_endowment(A)) | (~has_immunity(A, B)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','assumption_1_39')).
% 0.22/0.48 tff(68,plain,
% 0.22/0.48 (![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))),
% 0.22/0.48 inference(modus_ponens,[status(thm)],[67, 66])).
% 0.22/0.48 tff(69,plain,
% 0.22/0.48 (![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))),
% 0.22/0.48 inference(modus_ponens,[status(thm)],[68, 64])).
% 0.22/0.48 tff(70,plain,(
% 0.22/0.48 ![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))),
% 0.22/0.48 inference(skolemize,[status(sab)],[69])).
% 0.22/0.48 tff(71,plain,
% 0.22/0.48 (![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))),
% 0.22/0.48 inference(modus_ponens,[status(thm)],[70, 63])).
% 0.22/0.48 tff(72,plain,
% 0.22/0.48 (((~![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))) | (has_endowment(sk2) | (~organization(sk2)) | (~has_immunity(sk2, sk4)))) <=> ((~![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))) | has_endowment(sk2) | (~organization(sk2)) | (~has_immunity(sk2, sk4)))),
% 0.22/0.48 inference(rewrite,[status(thm)],[])).
% 0.22/0.48 tff(73,plain,
% 0.22/0.48 (((~has_immunity(sk2, sk4)) | has_endowment(sk2) | (~organization(sk2))) <=> (has_endowment(sk2) | (~organization(sk2)) | (~has_immunity(sk2, sk4)))),
% 0.22/0.48 inference(rewrite,[status(thm)],[])).
% 0.22/0.48 tff(74,plain,
% 0.22/0.48 (((~![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))) | ((~has_immunity(sk2, sk4)) | has_endowment(sk2) | (~organization(sk2)))) <=> ((~![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))) | (has_endowment(sk2) | (~organization(sk2)) | (~has_immunity(sk2, sk4))))),
% 0.22/0.48 inference(monotonicity,[status(thm)],[73])).
% 0.22/0.48 tff(75,plain,
% 0.22/0.48 (((~![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))) | ((~has_immunity(sk2, sk4)) | has_endowment(sk2) | (~organization(sk2)))) <=> ((~![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))) | has_endowment(sk2) | (~organization(sk2)) | (~has_immunity(sk2, sk4)))),
% 0.22/0.48 inference(transitivity,[status(thm)],[74, 72])).
% 0.22/0.48 tff(76,plain,
% 0.22/0.48 ((~![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))) | ((~has_immunity(sk2, sk4)) | has_endowment(sk2) | (~organization(sk2)))),
% 0.22/0.48 inference(quant_inst,[status(thm)],[])).
% 0.22/0.48 tff(77,plain,
% 0.22/0.48 ((~![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))) | has_endowment(sk2) | (~organization(sk2)) | (~has_immunity(sk2, sk4))),
% 0.22/0.48 inference(modus_ponens,[status(thm)],[76, 75])).
% 0.22/0.48 tff(78,plain,
% 0.22/0.48 ($false),
% 0.22/0.48 inference(unit_resolution,[status(thm)],[77, 71, 9, 61, 58])).
% 0.22/0.48 tff(79,plain,(~has_immunity(sk2, sk4)), inference(lemma,lemma(discharge,[]))).
% 0.22/0.48 tff(80,plain,
% 0.22/0.48 ((sigma = tau) <=> (sigma = tau)),
% 0.22/0.48 inference(rewrite,[status(thm)],[])).
% 0.22/0.48 tff(81,axiom,(sigma = tau), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','theorem_8_68')).
% 0.22/0.48 tff(82,plain,
% 0.22/0.48 (sigma = tau),
% 0.22/0.48 inference(modus_ponens,[status(thm)],[81, 80])).
% 0.22/0.48 tff(83,plain,
% 0.22/0.48 (greater(age(sk2, sk4), sigma) <=> greater(age(sk2, sk4), tau)),
% 0.22/0.48 inference(monotonicity,[status(thm)],[82])).
% 0.22/0.48 tff(84,plain,
% 0.22/0.48 (greater(age(sk2, sk4), tau) <=> greater(age(sk2, sk4), sigma)),
% 0.22/0.48 inference(symmetry,[status(thm)],[83])).
% 0.22/0.48 tff(85,plain,
% 0.22/0.48 ((~greater(age(sk2, sk4), tau)) <=> (~greater(age(sk2, sk4), sigma))),
% 0.22/0.48 inference(monotonicity,[status(thm)],[84])).
% 0.22/0.48 tff(86,plain,
% 0.22/0.48 (tau = sigma),
% 0.22/0.48 inference(symmetry,[status(thm)],[82])).
% 0.22/0.48 tff(87,plain,
% 0.22/0.48 (smaller_or_equal(age(sk2, sk4), tau) <=> smaller_or_equal(age(sk2, sk4), sigma)),
% 0.22/0.48 inference(monotonicity,[status(thm)],[86])).
% 0.22/0.48 tff(88,plain,
% 0.22/0.48 (smaller_or_equal(age(sk2, sk4), sigma) <=> smaller_or_equal(age(sk2, sk4), tau)),
% 0.22/0.48 inference(symmetry,[status(thm)],[87])).
% 0.22/0.48 tff(89,plain,
% 0.22/0.48 (smaller_or_equal(age(sk2, sk4), sigma) <=> smaller_or_equal(age(sk2, sk4), sigma)),
% 0.22/0.48 inference(rewrite,[status(thm)],[])).
% 0.22/0.48 tff(90,axiom,(smaller_or_equal(age(sk2, sk4), sigma)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','theorem_8_69')).
% 0.22/0.48 tff(91,plain,
% 0.22/0.48 (smaller_or_equal(age(sk2, sk4), sigma)),
% 0.22/0.48 inference(modus_ponens,[status(thm)],[90, 89])).
% 0.22/0.48 tff(92,plain,
% 0.22/0.48 (smaller_or_equal(age(sk2, sk4), tau)),
% 0.22/0.48 inference(modus_ponens,[status(thm)],[91, 88])).
% 0.22/0.48 tff(93,plain,
% 0.22/0.48 (robust_position(sk2) <=> robust_position(sk2)),
% 0.22/0.48 inference(rewrite,[status(thm)],[])).
% 0.22/0.48 tff(94,axiom,(robust_position(sk2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','theorem_8_63')).
% 0.22/0.48 tff(95,plain,
% 0.22/0.48 (robust_position(sk2)),
% 0.22/0.48 inference(modus_ponens,[status(thm)],[94, 93])).
% 0.22/0.48 tff(96,plain,
% 0.22/0.48 (^[B: $i, A: $i] : refl(((~positional_advantage(A, B)) | (~smaller_or_equal(age(A, B), tau)) | (~robust_position(A))) <=> ((~positional_advantage(A, B)) | (~smaller_or_equal(age(A, B), tau)) | (~robust_position(A))))),
% 0.22/0.48 inference(bind,[status(th)],[])).
% 0.22/0.48 tff(97,plain,
% 0.22/0.48 (![B: $i, A: $i] : ((~positional_advantage(A, B)) | (~smaller_or_equal(age(A, B), tau)) | (~robust_position(A))) <=> ![B: $i, A: $i] : ((~positional_advantage(A, B)) | (~smaller_or_equal(age(A, B), tau)) | (~robust_position(A)))),
% 0.22/0.48 inference(quant_intro,[status(thm)],[96])).
% 0.22/0.48 tff(98,plain,
% 0.22/0.48 (![B: $i, A: $i] : ((~positional_advantage(A, B)) | (~smaller_or_equal(age(A, B), tau)) | (~robust_position(A))) <=> ![B: $i, A: $i] : ((~positional_advantage(A, B)) | (~smaller_or_equal(age(A, B), tau)) | (~robust_position(A)))),
% 0.22/0.48 inference(rewrite,[status(thm)],[])).
% 0.22/0.48 tff(99,plain,
% 0.22/0.48 (^[B: $i, A: $i] : rewrite((((~robust_position(A)) | (~smaller_or_equal(age(A, B), tau))) | (~positional_advantage(A, B))) <=> ((~positional_advantage(A, B)) | (~smaller_or_equal(age(A, B), tau)) | (~robust_position(A))))),
% 0.22/0.48 inference(bind,[status(th)],[])).
% 0.22/0.48 tff(100,plain,
% 0.22/0.48 (![B: $i, A: $i] : (((~robust_position(A)) | (~smaller_or_equal(age(A, B), tau))) | (~positional_advantage(A, B))) <=> ![B: $i, A: $i] : ((~positional_advantage(A, B)) | (~smaller_or_equal(age(A, B), tau)) | (~robust_position(A)))),
% 0.22/0.48 inference(quant_intro,[status(thm)],[99])).
% 0.22/0.48 tff(101,axiom,(![B: $i, A: $i] : (((~robust_position(A)) | (~smaller_or_equal(age(A, B), tau))) | (~positional_advantage(A, B)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','definition_4_50')).
% 0.22/0.48 tff(102,plain,
% 0.22/0.48 (![B: $i, A: $i] : ((~positional_advantage(A, B)) | (~smaller_or_equal(age(A, B), tau)) | (~robust_position(A)))),
% 0.22/0.48 inference(modus_ponens,[status(thm)],[101, 100])).
% 0.22/0.48 tff(103,plain,
% 0.22/0.48 (![B: $i, A: $i] : ((~positional_advantage(A, B)) | (~smaller_or_equal(age(A, B), tau)) | (~robust_position(A)))),
% 0.22/0.48 inference(modus_ponens,[status(thm)],[102, 98])).
% 0.22/0.48 tff(104,plain,(
% 0.22/0.48 ![B: $i, A: $i] : ((~positional_advantage(A, B)) | (~smaller_or_equal(age(A, B), tau)) | (~robust_position(A)))),
% 0.22/0.48 inference(skolemize,[status(sab)],[103])).
% 0.22/0.48 tff(105,plain,
% 0.22/0.48 (![B: $i, A: $i] : ((~positional_advantage(A, B)) | (~smaller_or_equal(age(A, B), tau)) | (~robust_position(A)))),
% 0.22/0.48 inference(modus_ponens,[status(thm)],[104, 97])).
% 0.22/0.48 tff(106,plain,
% 0.22/0.48 (((~![B: $i, A: $i] : ((~positional_advantage(A, B)) | (~smaller_or_equal(age(A, B), tau)) | (~robust_position(A)))) | ((~smaller_or_equal(age(sk2, sk4), tau)) | (~robust_position(sk2)) | (~positional_advantage(sk2, sk4)))) <=> ((~![B: $i, A: $i] : ((~positional_advantage(A, B)) | (~smaller_or_equal(age(A, B), tau)) | (~robust_position(A)))) | (~smaller_or_equal(age(sk2, sk4), tau)) | (~robust_position(sk2)) | (~positional_advantage(sk2, sk4)))),
% 0.22/0.48 inference(rewrite,[status(thm)],[])).
% 0.22/0.48 tff(107,plain,
% 0.22/0.48 (((~positional_advantage(sk2, sk4)) | (~smaller_or_equal(age(sk2, sk4), tau)) | (~robust_position(sk2))) <=> ((~smaller_or_equal(age(sk2, sk4), tau)) | (~robust_position(sk2)) | (~positional_advantage(sk2, sk4)))),
% 0.22/0.48 inference(rewrite,[status(thm)],[])).
% 0.22/0.48 tff(108,plain,
% 0.22/0.48 (((~![B: $i, A: $i] : ((~positional_advantage(A, B)) | (~smaller_or_equal(age(A, B), tau)) | (~robust_position(A)))) | ((~positional_advantage(sk2, sk4)) | (~smaller_or_equal(age(sk2, sk4), tau)) | (~robust_position(sk2)))) <=> ((~![B: $i, A: $i] : ((~positional_advantage(A, B)) | (~smaller_or_equal(age(A, B), tau)) | (~robust_position(A)))) | ((~smaller_or_equal(age(sk2, sk4), tau)) | (~robust_position(sk2)) | (~positional_advantage(sk2, sk4))))),
% 0.22/0.48 inference(monotonicity,[status(thm)],[107])).
% 0.22/0.48 tff(109,plain,
% 0.22/0.48 (((~![B: $i, A: $i] : ((~positional_advantage(A, B)) | (~smaller_or_equal(age(A, B), tau)) | (~robust_position(A)))) | ((~positional_advantage(sk2, sk4)) | (~smaller_or_equal(age(sk2, sk4), tau)) | (~robust_position(sk2)))) <=> ((~![B: $i, A: $i] : ((~positional_advantage(A, B)) | (~smaller_or_equal(age(A, B), tau)) | (~robust_position(A)))) | (~smaller_or_equal(age(sk2, sk4), tau)) | (~robust_position(sk2)) | (~positional_advantage(sk2, sk4)))),
% 0.22/0.48 inference(transitivity,[status(thm)],[108, 106])).
% 0.22/0.48 tff(110,plain,
% 0.22/0.48 ((~![B: $i, A: $i] : ((~positional_advantage(A, B)) | (~smaller_or_equal(age(A, B), tau)) | (~robust_position(A)))) | ((~positional_advantage(sk2, sk4)) | (~smaller_or_equal(age(sk2, sk4), tau)) | (~robust_position(sk2)))),
% 0.22/0.48 inference(quant_inst,[status(thm)],[])).
% 0.22/0.48 tff(111,plain,
% 0.22/0.48 ((~![B: $i, A: $i] : ((~positional_advantage(A, B)) | (~smaller_or_equal(age(A, B), tau)) | (~robust_position(A)))) | (~smaller_or_equal(age(sk2, sk4), tau)) | (~robust_position(sk2)) | (~positional_advantage(sk2, sk4))),
% 0.22/0.48 inference(modus_ponens,[status(thm)],[110, 109])).
% 0.22/0.48 tff(112,plain,
% 0.22/0.48 ((~smaller_or_equal(age(sk2, sk4), tau)) | (~positional_advantage(sk2, sk4))),
% 0.22/0.48 inference(unit_resolution,[status(thm)],[111, 105, 95])).
% 0.22/0.48 tff(113,plain,
% 0.22/0.48 (~positional_advantage(sk2, sk4)),
% 0.22/0.48 inference(unit_resolution,[status(thm)],[112, 92])).
% 0.22/0.48 tff(114,plain,
% 0.22/0.48 (^[B: $i, A: $i] : refl((positional_advantage(A, B) | (~robust_position(A)) | (~greater(age(A, B), tau))) <=> (positional_advantage(A, B) | (~robust_position(A)) | (~greater(age(A, B), tau))))),
% 0.22/0.48 inference(bind,[status(th)],[])).
% 0.22/0.48 tff(115,plain,
% 0.22/0.48 (![B: $i, A: $i] : (positional_advantage(A, B) | (~robust_position(A)) | (~greater(age(A, B), tau))) <=> ![B: $i, A: $i] : (positional_advantage(A, B) | (~robust_position(A)) | (~greater(age(A, B), tau)))),
% 0.22/0.48 inference(quant_intro,[status(thm)],[114])).
% 0.22/0.48 tff(116,plain,
% 0.22/0.48 (![B: $i, A: $i] : (positional_advantage(A, B) | (~robust_position(A)) | (~greater(age(A, B), tau))) <=> ![B: $i, A: $i] : (positional_advantage(A, B) | (~robust_position(A)) | (~greater(age(A, B), tau)))),
% 0.22/0.48 inference(rewrite,[status(thm)],[])).
% 0.22/0.48 tff(117,plain,
% 0.22/0.48 (^[B: $i, A: $i] : rewrite((((~robust_position(A)) | (~greater(age(A, B), tau))) | positional_advantage(A, B)) <=> (positional_advantage(A, B) | (~robust_position(A)) | (~greater(age(A, B), tau))))),
% 0.22/0.48 inference(bind,[status(th)],[])).
% 0.22/0.48 tff(118,plain,
% 0.22/0.48 (![B: $i, A: $i] : (((~robust_position(A)) | (~greater(age(A, B), tau))) | positional_advantage(A, B)) <=> ![B: $i, A: $i] : (positional_advantage(A, B) | (~robust_position(A)) | (~greater(age(A, B), tau)))),
% 0.22/0.48 inference(quant_intro,[status(thm)],[117])).
% 0.22/0.48 tff(119,axiom,(![B: $i, A: $i] : (((~robust_position(A)) | (~greater(age(A, B), tau))) | positional_advantage(A, B))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','definition_4_51')).
% 0.22/0.49 tff(120,plain,
% 0.22/0.49 (![B: $i, A: $i] : (positional_advantage(A, B) | (~robust_position(A)) | (~greater(age(A, B), tau)))),
% 0.22/0.49 inference(modus_ponens,[status(thm)],[119, 118])).
% 0.22/0.49 tff(121,plain,
% 0.22/0.49 (![B: $i, A: $i] : (positional_advantage(A, B) | (~robust_position(A)) | (~greater(age(A, B), tau)))),
% 0.22/0.49 inference(modus_ponens,[status(thm)],[120, 116])).
% 0.22/0.49 tff(122,plain,(
% 0.22/0.49 ![B: $i, A: $i] : (positional_advantage(A, B) | (~robust_position(A)) | (~greater(age(A, B), tau)))),
% 0.22/0.49 inference(skolemize,[status(sab)],[121])).
% 0.22/0.49 tff(123,plain,
% 0.22/0.49 (![B: $i, A: $i] : (positional_advantage(A, B) | (~robust_position(A)) | (~greater(age(A, B), tau)))),
% 0.22/0.49 inference(modus_ponens,[status(thm)],[122, 115])).
% 0.22/0.49 tff(124,plain,
% 0.22/0.49 (((~![B: $i, A: $i] : (positional_advantage(A, B) | (~robust_position(A)) | (~greater(age(A, B), tau)))) | ((~robust_position(sk2)) | positional_advantage(sk2, sk4) | (~greater(age(sk2, sk4), tau)))) <=> ((~![B: $i, A: $i] : (positional_advantage(A, B) | (~robust_position(A)) | (~greater(age(A, B), tau)))) | (~robust_position(sk2)) | positional_advantage(sk2, sk4) | (~greater(age(sk2, sk4), tau)))),
% 0.22/0.49 inference(rewrite,[status(thm)],[])).
% 0.22/0.49 tff(125,plain,
% 0.22/0.49 ((positional_advantage(sk2, sk4) | (~robust_position(sk2)) | (~greater(age(sk2, sk4), tau))) <=> ((~robust_position(sk2)) | positional_advantage(sk2, sk4) | (~greater(age(sk2, sk4), tau)))),
% 0.22/0.49 inference(rewrite,[status(thm)],[])).
% 0.22/0.49 tff(126,plain,
% 0.22/0.49 (((~![B: $i, A: $i] : (positional_advantage(A, B) | (~robust_position(A)) | (~greater(age(A, B), tau)))) | (positional_advantage(sk2, sk4) | (~robust_position(sk2)) | (~greater(age(sk2, sk4), tau)))) <=> ((~![B: $i, A: $i] : (positional_advantage(A, B) | (~robust_position(A)) | (~greater(age(A, B), tau)))) | ((~robust_position(sk2)) | positional_advantage(sk2, sk4) | (~greater(age(sk2, sk4), tau))))),
% 0.22/0.49 inference(monotonicity,[status(thm)],[125])).
% 0.22/0.49 tff(127,plain,
% 0.22/0.49 (((~![B: $i, A: $i] : (positional_advantage(A, B) | (~robust_position(A)) | (~greater(age(A, B), tau)))) | (positional_advantage(sk2, sk4) | (~robust_position(sk2)) | (~greater(age(sk2, sk4), tau)))) <=> ((~![B: $i, A: $i] : (positional_advantage(A, B) | (~robust_position(A)) | (~greater(age(A, B), tau)))) | (~robust_position(sk2)) | positional_advantage(sk2, sk4) | (~greater(age(sk2, sk4), tau)))),
% 0.22/0.49 inference(transitivity,[status(thm)],[126, 124])).
% 0.22/0.49 tff(128,plain,
% 0.22/0.49 ((~![B: $i, A: $i] : (positional_advantage(A, B) | (~robust_position(A)) | (~greater(age(A, B), tau)))) | (positional_advantage(sk2, sk4) | (~robust_position(sk2)) | (~greater(age(sk2, sk4), tau)))),
% 0.22/0.49 inference(quant_inst,[status(thm)],[])).
% 0.22/0.49 tff(129,plain,
% 0.22/0.49 ((~![B: $i, A: $i] : (positional_advantage(A, B) | (~robust_position(A)) | (~greater(age(A, B), tau)))) | (~robust_position(sk2)) | positional_advantage(sk2, sk4) | (~greater(age(sk2, sk4), tau))),
% 0.22/0.49 inference(modus_ponens,[status(thm)],[128, 127])).
% 0.22/0.49 tff(130,plain,
% 0.22/0.49 (positional_advantage(sk2, sk4) | (~greater(age(sk2, sk4), tau))),
% 0.22/0.49 inference(unit_resolution,[status(thm)],[129, 123, 95])).
% 0.22/0.49 tff(131,plain,
% 0.22/0.49 (~greater(age(sk2, sk4), tau)),
% 0.22/0.49 inference(unit_resolution,[status(thm)],[130, 113])).
% 0.22/0.49 tff(132,plain,
% 0.22/0.49 (~greater(age(sk2, sk4), sigma)),
% 0.22/0.49 inference(modus_ponens,[status(thm)],[131, 85])).
% 0.22/0.49 tff(133,plain,
% 0.22/0.49 (^[B: $i, A: $i, C: $i] : refl(((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = zero))) <=> ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = zero))))),
% 0.22/0.49 inference(bind,[status(th)],[])).
% 0.22/0.49 tff(134,plain,
% 0.22/0.49 (![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = zero))) <=> ![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = zero)))),
% 0.22/0.49 inference(quant_intro,[status(thm)],[133])).
% 0.22/0.49 tff(135,plain,
% 0.22/0.49 (![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = zero))) <=> ![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = zero)))),
% 0.22/0.49 inference(rewrite,[status(thm)],[])).
% 0.22/0.49 tff(136,plain,
% 0.22/0.49 (^[B: $i, A: $i, C: $i] : trans(monotonicity(rewrite((((~organization(A)) | (~(age(A, B) = zero))) | (~dissimilar(A, B, C))) <=> ((~dissimilar(A, B, C)) | (~organization(A)) | (~(age(A, B) = zero)))), (((((~organization(A)) | (~(age(A, B) = zero))) | (~dissimilar(A, B, C))) | greater(age(A, C), sigma)) <=> (((~dissimilar(A, B, C)) | (~organization(A)) | (~(age(A, B) = zero))) | greater(age(A, C), sigma)))), rewrite((((~dissimilar(A, B, C)) | (~organization(A)) | (~(age(A, B) = zero))) | greater(age(A, C), sigma)) <=> ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = zero)))), (((((~organization(A)) | (~(age(A, B) = zero))) | (~dissimilar(A, B, C))) | greater(age(A, C), sigma)) <=> ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = zero)))))),
% 0.22/0.49 inference(bind,[status(th)],[])).
% 0.22/0.49 tff(137,plain,
% 0.22/0.49 (![B: $i, A: $i, C: $i] : ((((~organization(A)) | (~(age(A, B) = zero))) | (~dissimilar(A, B, C))) | greater(age(A, C), sigma)) <=> ![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = zero)))),
% 0.22/0.49 inference(quant_intro,[status(thm)],[136])).
% 0.22/0.49 tff(138,axiom,(![B: $i, A: $i, C: $i] : ((((~organization(A)) | (~(age(A, B) = zero))) | (~dissimilar(A, B, C))) | greater(age(A, C), sigma))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','assumption_15_49')).
% 0.22/0.49 tff(139,plain,
% 0.22/0.49 (![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = zero)))),
% 0.22/0.49 inference(modus_ponens,[status(thm)],[138, 137])).
% 0.22/0.49 tff(140,plain,
% 0.22/0.49 (![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = zero)))),
% 0.22/0.49 inference(modus_ponens,[status(thm)],[139, 135])).
% 0.22/0.49 tff(141,plain,(
% 0.22/0.49 ![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = zero)))),
% 0.22/0.49 inference(skolemize,[status(sab)],[140])).
% 0.22/0.49 tff(142,plain,
% 0.22/0.49 (![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = zero)))),
% 0.22/0.49 inference(modus_ponens,[status(thm)],[141, 134])).
% 0.22/0.49 tff(143,plain,
% 0.22/0.49 (((~![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = zero)))) | ((~organization(sk2)) | (~(age(sk2, sk3) = zero)) | greater(age(sk2, sk4), sigma) | (~dissimilar(sk2, sk3, sk4)))) <=> ((~![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = zero)))) | (~organization(sk2)) | (~(age(sk2, sk3) = zero)) | greater(age(sk2, sk4), sigma) | (~dissimilar(sk2, sk3, sk4)))),
% 0.22/0.49 inference(rewrite,[status(thm)],[])).
% 0.22/0.49 tff(144,plain,
% 0.22/0.49 (((~dissimilar(sk2, sk3, sk4)) | (~organization(sk2)) | greater(age(sk2, sk4), sigma) | (~(age(sk2, sk3) = zero))) <=> ((~organization(sk2)) | (~(age(sk2, sk3) = zero)) | greater(age(sk2, sk4), sigma) | (~dissimilar(sk2, sk3, sk4)))),
% 0.22/0.49 inference(rewrite,[status(thm)],[])).
% 0.22/0.49 tff(145,plain,
% 0.22/0.49 (((~![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = zero)))) | ((~dissimilar(sk2, sk3, sk4)) | (~organization(sk2)) | greater(age(sk2, sk4), sigma) | (~(age(sk2, sk3) = zero)))) <=> ((~![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = zero)))) | ((~organization(sk2)) | (~(age(sk2, sk3) = zero)) | greater(age(sk2, sk4), sigma) | (~dissimilar(sk2, sk3, sk4))))),
% 0.22/0.49 inference(monotonicity,[status(thm)],[144])).
% 0.22/0.49 tff(146,plain,
% 0.22/0.49 (((~![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = zero)))) | ((~dissimilar(sk2, sk3, sk4)) | (~organization(sk2)) | greater(age(sk2, sk4), sigma) | (~(age(sk2, sk3) = zero)))) <=> ((~![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = zero)))) | (~organization(sk2)) | (~(age(sk2, sk3) = zero)) | greater(age(sk2, sk4), sigma) | (~dissimilar(sk2, sk3, sk4)))),
% 0.22/0.49 inference(transitivity,[status(thm)],[145, 143])).
% 0.22/0.49 tff(147,plain,
% 0.22/0.49 ((~![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = zero)))) | ((~dissimilar(sk2, sk3, sk4)) | (~organization(sk2)) | greater(age(sk2, sk4), sigma) | (~(age(sk2, sk3) = zero)))),
% 0.22/0.49 inference(quant_inst,[status(thm)],[])).
% 0.22/0.49 tff(148,plain,
% 0.22/0.49 ((~![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = zero)))) | (~organization(sk2)) | (~(age(sk2, sk3) = zero)) | greater(age(sk2, sk4), sigma) | (~dissimilar(sk2, sk3, sk4))),
% 0.22/0.49 inference(modus_ponens,[status(thm)],[147, 146])).
% 0.22/0.49 tff(149,plain,
% 0.22/0.49 (greater(age(sk2, sk4), sigma) | (~dissimilar(sk2, sk3, sk4))),
% 0.22/0.49 inference(unit_resolution,[status(thm)],[148, 142, 9, 6])).
% 0.22/0.49 tff(150,plain,
% 0.22/0.49 (~dissimilar(sk2, sk3, sk4)),
% 0.22/0.49 inference(unit_resolution,[status(thm)],[149, 132])).
% 0.22/0.49 tff(151,plain,
% 0.22/0.49 (^[B: $i, A: $i, C: $i] : refl((dissimilar(A, B, C) | is_aligned(A, C) | (~is_aligned(A, B)) | (~organization(A))) <=> (dissimilar(A, B, C) | is_aligned(A, C) | (~is_aligned(A, B)) | (~organization(A))))),
% 0.22/0.49 inference(bind,[status(th)],[])).
% 0.22/0.49 tff(152,plain,
% 0.22/0.49 (![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | is_aligned(A, C) | (~is_aligned(A, B)) | (~organization(A))) <=> ![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | is_aligned(A, C) | (~is_aligned(A, B)) | (~organization(A)))),
% 0.22/0.49 inference(quant_intro,[status(thm)],[151])).
% 0.22/0.49 tff(153,plain,
% 0.22/0.49 (![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | is_aligned(A, C) | (~is_aligned(A, B)) | (~organization(A))) <=> ![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | is_aligned(A, C) | (~is_aligned(A, B)) | (~organization(A)))),
% 0.22/0.49 inference(rewrite,[status(thm)],[])).
% 0.22/0.49 tff(154,plain,
% 0.22/0.49 (^[B: $i, A: $i, C: $i] : trans(monotonicity(rewrite((((~organization(A)) | (~is_aligned(A, B))) | is_aligned(A, C)) <=> (is_aligned(A, C) | (~is_aligned(A, B)) | (~organization(A)))), (((((~organization(A)) | (~is_aligned(A, B))) | is_aligned(A, C)) | dissimilar(A, B, C)) <=> ((is_aligned(A, C) | (~is_aligned(A, B)) | (~organization(A))) | dissimilar(A, B, C)))), rewrite(((is_aligned(A, C) | (~is_aligned(A, B)) | (~organization(A))) | dissimilar(A, B, C)) <=> (dissimilar(A, B, C) | is_aligned(A, C) | (~is_aligned(A, B)) | (~organization(A)))), (((((~organization(A)) | (~is_aligned(A, B))) | is_aligned(A, C)) | dissimilar(A, B, C)) <=> (dissimilar(A, B, C) | is_aligned(A, C) | (~is_aligned(A, B)) | (~organization(A)))))),
% 0.22/0.49 inference(bind,[status(th)],[])).
% 0.22/0.49 tff(155,plain,
% 0.22/0.49 (![B: $i, A: $i, C: $i] : ((((~organization(A)) | (~is_aligned(A, B))) | is_aligned(A, C)) | dissimilar(A, B, C)) <=> ![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | is_aligned(A, C) | (~is_aligned(A, B)) | (~organization(A)))),
% 0.22/0.49 inference(quant_intro,[status(thm)],[154])).
% 0.22/0.49 tff(156,axiom,(![B: $i, A: $i, C: $i] : ((((~organization(A)) | (~is_aligned(A, B))) | is_aligned(A, C)) | dissimilar(A, B, C))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','definition_2_44')).
% 0.22/0.49 tff(157,plain,
% 0.22/0.49 (![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | is_aligned(A, C) | (~is_aligned(A, B)) | (~organization(A)))),
% 0.22/0.49 inference(modus_ponens,[status(thm)],[156, 155])).
% 0.22/0.49 tff(158,plain,
% 0.22/0.49 (![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | is_aligned(A, C) | (~is_aligned(A, B)) | (~organization(A)))),
% 0.22/0.49 inference(modus_ponens,[status(thm)],[157, 153])).
% 0.22/0.49 tff(159,plain,(
% 0.22/0.49 ![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | is_aligned(A, C) | (~is_aligned(A, B)) | (~organization(A)))),
% 0.22/0.49 inference(skolemize,[status(sab)],[158])).
% 0.22/0.49 tff(160,plain,
% 0.22/0.49 (![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | is_aligned(A, C) | (~is_aligned(A, B)) | (~organization(A)))),
% 0.22/0.49 inference(modus_ponens,[status(thm)],[159, 152])).
% 0.22/0.49 tff(161,plain,
% 0.22/0.49 (((~![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | is_aligned(A, C) | (~is_aligned(A, B)) | (~organization(A)))) | ((~organization(sk2)) | is_aligned(sk2, sk4) | (~is_aligned(sk2, sk3)) | dissimilar(sk2, sk3, sk4))) <=> ((~![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | is_aligned(A, C) | (~is_aligned(A, B)) | (~organization(A)))) | (~organization(sk2)) | is_aligned(sk2, sk4) | (~is_aligned(sk2, sk3)) | dissimilar(sk2, sk3, sk4))),
% 0.22/0.49 inference(rewrite,[status(thm)],[])).
% 0.22/0.49 tff(162,plain,
% 0.22/0.49 ((dissimilar(sk2, sk3, sk4) | is_aligned(sk2, sk4) | (~is_aligned(sk2, sk3)) | (~organization(sk2))) <=> ((~organization(sk2)) | is_aligned(sk2, sk4) | (~is_aligned(sk2, sk3)) | dissimilar(sk2, sk3, sk4))),
% 0.22/0.49 inference(rewrite,[status(thm)],[])).
% 0.22/0.49 tff(163,plain,
% 0.22/0.49 (((~![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | is_aligned(A, C) | (~is_aligned(A, B)) | (~organization(A)))) | (dissimilar(sk2, sk3, sk4) | is_aligned(sk2, sk4) | (~is_aligned(sk2, sk3)) | (~organization(sk2)))) <=> ((~![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | is_aligned(A, C) | (~is_aligned(A, B)) | (~organization(A)))) | ((~organization(sk2)) | is_aligned(sk2, sk4) | (~is_aligned(sk2, sk3)) | dissimilar(sk2, sk3, sk4)))),
% 0.22/0.49 inference(monotonicity,[status(thm)],[162])).
% 0.22/0.49 tff(164,plain,
% 0.22/0.49 (((~![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | is_aligned(A, C) | (~is_aligned(A, B)) | (~organization(A)))) | (dissimilar(sk2, sk3, sk4) | is_aligned(sk2, sk4) | (~is_aligned(sk2, sk3)) | (~organization(sk2)))) <=> ((~![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | is_aligned(A, C) | (~is_aligned(A, B)) | (~organization(A)))) | (~organization(sk2)) | is_aligned(sk2, sk4) | (~is_aligned(sk2, sk3)) | dissimilar(sk2, sk3, sk4))),
% 0.22/0.49 inference(transitivity,[status(thm)],[163, 161])).
% 0.22/0.49 tff(165,plain,
% 0.22/0.49 ((~![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | is_aligned(A, C) | (~is_aligned(A, B)) | (~organization(A)))) | (dissimilar(sk2, sk3, sk4) | is_aligned(sk2, sk4) | (~is_aligned(sk2, sk3)) | (~organization(sk2)))),
% 0.22/0.49 inference(quant_inst,[status(thm)],[])).
% 0.22/0.49 tff(166,plain,
% 0.22/0.49 ((~![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | is_aligned(A, C) | (~is_aligned(A, B)) | (~organization(A)))) | (~organization(sk2)) | is_aligned(sk2, sk4) | (~is_aligned(sk2, sk3)) | dissimilar(sk2, sk3, sk4)),
% 0.22/0.49 inference(modus_ponens,[status(thm)],[165, 164])).
% 0.22/0.49 tff(167,plain,
% 0.22/0.49 (is_aligned(sk2, sk4)),
% 0.22/0.49 inference(unit_resolution,[status(thm)],[166, 160, 9, 40, 150])).
% 0.22/0.49 tff(168,plain,
% 0.22/0.49 (^[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)))),
% 0.22/0.49 inference(bind,[status(th)],[])).
% 0.22/0.49 tff(169,plain,
% 0.22/0.49 (![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))),
% 0.22/0.49 inference(quant_intro,[status(thm)],[168])).
% 0.22/0.49 tff(170,plain,
% 0.22/0.49 (![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))),
% 0.22/0.49 inference(rewrite,[status(thm)],[])).
% 0.22/0.49 tff(171,plain,
% 0.22/0.49 (^[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))))),
% 0.22/0.49 inference(bind,[status(th)],[])).
% 0.22/0.49 tff(172,plain,
% 0.22/0.49 (![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))),
% 0.22/0.49 inference(quant_intro,[status(thm)],[171])).
% 0.22/0.49 tff(173,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/sandbox2/benchmark/theBenchmark.p','assumption_17_59')).
% 0.22/0.49 tff(174,plain,
% 0.22/0.49 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | (~is_aligned(A, B)) | (hazard_of_mortality(A, B) = mod2))),
% 0.22/0.49 inference(modus_ponens,[status(thm)],[173, 172])).
% 0.22/0.49 tff(175,plain,
% 0.22/0.49 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | (~is_aligned(A, B)) | (hazard_of_mortality(A, B) = mod2))),
% 0.22/0.49 inference(modus_ponens,[status(thm)],[174, 170])).
% 0.22/0.49 tff(176,plain,(
% 0.22/0.49 ![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | (~is_aligned(A, B)) | (hazard_of_mortality(A, B) = mod2))),
% 0.22/0.49 inference(skolemize,[status(sab)],[175])).
% 0.22/0.49 tff(177,plain,
% 0.22/0.49 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | (~is_aligned(A, B)) | (hazard_of_mortality(A, B) = mod2))),
% 0.22/0.49 inference(modus_ponens,[status(thm)],[176, 169])).
% 0.22/0.49 tff(178,plain,
% 0.22/0.49 (((~![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)) | positional_advantage(sk2, sk4) | has_immunity(sk2, sk4) | (~is_aligned(sk2, sk4)) | (hazard_of_mortality(sk2, sk4) = 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)) | positional_advantage(sk2, sk4) | has_immunity(sk2, sk4) | (~is_aligned(sk2, sk4)) | (hazard_of_mortality(sk2, sk4) = mod2))),
% 0.22/0.49 inference(rewrite,[status(thm)],[])).
% 0.22/0.49 tff(179,plain,
% 0.22/0.49 ((has_immunity(sk2, sk4) | (~organization(sk2)) | positional_advantage(sk2, sk4) | (~is_aligned(sk2, sk4)) | (hazard_of_mortality(sk2, sk4) = mod2)) <=> ((~organization(sk2)) | positional_advantage(sk2, sk4) | has_immunity(sk2, sk4) | (~is_aligned(sk2, sk4)) | (hazard_of_mortality(sk2, sk4) = mod2))),
% 0.22/0.49 inference(rewrite,[status(thm)],[])).
% 0.22/0.49 tff(180,plain,
% 0.22/0.49 (((~![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, sk4) | (~organization(sk2)) | positional_advantage(sk2, sk4) | (~is_aligned(sk2, sk4)) | (hazard_of_mortality(sk2, sk4) = 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)) | positional_advantage(sk2, sk4) | has_immunity(sk2, sk4) | (~is_aligned(sk2, sk4)) | (hazard_of_mortality(sk2, sk4) = mod2)))),
% 0.22/0.50 inference(monotonicity,[status(thm)],[179])).
% 0.22/0.50 tff(181,plain,
% 0.22/0.50 (((~![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, sk4) | (~organization(sk2)) | positional_advantage(sk2, sk4) | (~is_aligned(sk2, sk4)) | (hazard_of_mortality(sk2, sk4) = 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)) | positional_advantage(sk2, sk4) | has_immunity(sk2, sk4) | (~is_aligned(sk2, sk4)) | (hazard_of_mortality(sk2, sk4) = mod2))),
% 0.22/0.50 inference(transitivity,[status(thm)],[180, 178])).
% 0.22/0.50 tff(182,plain,
% 0.22/0.50 ((~![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, sk4) | (~organization(sk2)) | positional_advantage(sk2, sk4) | (~is_aligned(sk2, sk4)) | (hazard_of_mortality(sk2, sk4) = mod2))),
% 0.22/0.50 inference(quant_inst,[status(thm)],[])).
% 0.22/0.50 tff(183,plain,
% 0.22/0.50 ((~![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)) | positional_advantage(sk2, sk4) | has_immunity(sk2, sk4) | (~is_aligned(sk2, sk4)) | (hazard_of_mortality(sk2, sk4) = mod2)),
% 0.22/0.50 inference(modus_ponens,[status(thm)],[182, 181])).
% 0.22/0.50 tff(184,plain,
% 0.22/0.50 (has_immunity(sk2, sk4) | (~is_aligned(sk2, sk4)) | (hazard_of_mortality(sk2, sk4) = mod2)),
% 0.22/0.50 inference(unit_resolution,[status(thm)],[183, 177, 9, 113])).
% 0.22/0.50 tff(185,plain,
% 0.22/0.50 (has_immunity(sk2, sk4) | (hazard_of_mortality(sk2, sk4) = mod2)),
% 0.22/0.50 inference(unit_resolution,[status(thm)],[184, 167])).
% 0.22/0.50 tff(186,plain,
% 0.22/0.50 (hazard_of_mortality(sk2, sk4) = mod2),
% 0.22/0.50 inference(unit_resolution,[status(thm)],[185, 79])).
% 0.22/0.50 tff(187,plain,
% 0.22/0.50 (mod2 = hazard_of_mortality(sk2, sk4)),
% 0.22/0.50 inference(symmetry,[status(thm)],[186])).
% 0.22/0.50 tff(188,assumption,(hazard_of_mortality(sk2, sk5) = mod1), introduced(assumption)).
% 0.22/0.50 tff(189,plain,
% 0.22/0.50 (mod1 = hazard_of_mortality(sk2, sk5)),
% 0.22/0.50 inference(symmetry,[status(thm)],[188])).
% 0.22/0.50 tff(190,plain,
% 0.22/0.50 (smaller(mod1, mod2) <=> smaller(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4))),
% 0.22/0.50 inference(monotonicity,[status(thm)],[189, 187])).
% 0.22/0.50 tff(191,plain,
% 0.22/0.50 (smaller(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4)) <=> smaller(mod1, mod2)),
% 0.22/0.50 inference(symmetry,[status(thm)],[190])).
% 0.22/0.50 tff(192,plain,
% 0.22/0.50 ((~smaller(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4))) <=> (~smaller(mod1, mod2))),
% 0.22/0.50 inference(monotonicity,[status(thm)],[191])).
% 0.22/0.50 tff(193,assumption,(has_immunity(sk2, sk3)), introduced(assumption)).
% 0.22/0.50 tff(194,plain,
% 0.22/0.50 (((~![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))) | (has_endowment(sk2) | (~organization(sk2)) | (~has_immunity(sk2, sk3)))) <=> ((~![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))) | has_endowment(sk2) | (~organization(sk2)) | (~has_immunity(sk2, sk3)))),
% 0.22/0.50 inference(rewrite,[status(thm)],[])).
% 0.22/0.50 tff(195,plain,
% 0.22/0.50 (((~has_immunity(sk2, sk3)) | has_endowment(sk2) | (~organization(sk2))) <=> (has_endowment(sk2) | (~organization(sk2)) | (~has_immunity(sk2, sk3)))),
% 0.22/0.50 inference(rewrite,[status(thm)],[])).
% 0.22/0.50 tff(196,plain,
% 0.22/0.50 (((~![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))) | ((~has_immunity(sk2, sk3)) | has_endowment(sk2) | (~organization(sk2)))) <=> ((~![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))) | (has_endowment(sk2) | (~organization(sk2)) | (~has_immunity(sk2, sk3))))),
% 0.22/0.50 inference(monotonicity,[status(thm)],[195])).
% 0.22/0.50 tff(197,plain,
% 0.22/0.50 (((~![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))) | ((~has_immunity(sk2, sk3)) | has_endowment(sk2) | (~organization(sk2)))) <=> ((~![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))) | has_endowment(sk2) | (~organization(sk2)) | (~has_immunity(sk2, sk3)))),
% 0.22/0.50 inference(transitivity,[status(thm)],[196, 194])).
% 0.22/0.50 tff(198,plain,
% 0.22/0.50 ((~![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))) | ((~has_immunity(sk2, sk3)) | has_endowment(sk2) | (~organization(sk2)))),
% 0.22/0.50 inference(quant_inst,[status(thm)],[])).
% 0.22/0.50 tff(199,plain,
% 0.22/0.50 ((~![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))) | has_endowment(sk2) | (~organization(sk2)) | (~has_immunity(sk2, sk3))),
% 0.22/0.50 inference(modus_ponens,[status(thm)],[198, 197])).
% 0.22/0.50 tff(200,plain,
% 0.22/0.50 ($false),
% 0.22/0.50 inference(unit_resolution,[status(thm)],[199, 71, 9, 61, 193])).
% 0.22/0.50 tff(201,plain,(~has_immunity(sk2, sk3)), inference(lemma,lemma(discharge,[]))).
% 0.22/0.50 tff(202,plain,
% 0.22/0.50 (zero = age(sk2, sk3)),
% 0.22/0.50 inference(symmetry,[status(thm)],[6])).
% 0.22/0.50 tff(203,plain,
% 0.22/0.50 (smaller_or_equal(zero, tau) <=> smaller_or_equal(age(sk2, sk3), tau)),
% 0.22/0.50 inference(monotonicity,[status(thm)],[202])).
% 0.22/0.50 tff(204,plain,
% 0.22/0.50 (greater(tau, zero) <=> greater(tau, zero)),
% 0.22/0.50 inference(rewrite,[status(thm)],[])).
% 0.22/0.50 tff(205,axiom,(greater(tau, zero)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','theorem_8_67')).
% 0.22/0.50 tff(206,plain,
% 0.22/0.50 (greater(tau, zero)),
% 0.22/0.50 inference(modus_ponens,[status(thm)],[205, 204])).
% 0.22/0.50 tff(207,plain,
% 0.22/0.50 (^[B: $i, A: $i] : refl(((~greater(A, B)) | smaller(B, A)) <=> ((~greater(A, B)) | smaller(B, A)))),
% 0.22/0.50 inference(bind,[status(th)],[])).
% 0.22/0.50 tff(208,plain,
% 0.22/0.50 (![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A)) <=> ![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))),
% 0.22/0.50 inference(quant_intro,[status(thm)],[207])).
% 0.22/0.50 tff(209,plain,
% 0.22/0.50 (![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A)) <=> ![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))),
% 0.22/0.50 inference(rewrite,[status(thm)],[])).
% 0.22/0.50 tff(210,axiom,(![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))), file('/export/starexec/sandbox2/benchmark/Axioms/MGT001-0.ax','definition_smaller_8')).
% 0.22/0.50 tff(211,plain,
% 0.22/0.50 (![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))),
% 0.22/0.50 inference(modus_ponens,[status(thm)],[210, 209])).
% 0.22/0.50 tff(212,plain,(
% 0.22/0.50 ![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))),
% 0.22/0.50 inference(skolemize,[status(sab)],[211])).
% 0.22/0.50 tff(213,plain,
% 0.22/0.50 (![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))),
% 0.22/0.50 inference(modus_ponens,[status(thm)],[212, 208])).
% 0.22/0.50 tff(214,plain,
% 0.22/0.50 (((~![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))) | ((~greater(tau, zero)) | smaller(zero, tau))) <=> ((~![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))) | (~greater(tau, zero)) | smaller(zero, tau))),
% 0.22/0.50 inference(rewrite,[status(thm)],[])).
% 0.22/0.50 tff(215,plain,
% 0.22/0.50 ((~![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))) | ((~greater(tau, zero)) | smaller(zero, tau))),
% 0.22/0.50 inference(quant_inst,[status(thm)],[])).
% 0.22/0.50 tff(216,plain,
% 0.22/0.50 ((~![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))) | (~greater(tau, zero)) | smaller(zero, tau)),
% 0.22/0.50 inference(modus_ponens,[status(thm)],[215, 214])).
% 0.22/0.50 tff(217,plain,
% 0.22/0.50 (smaller(zero, tau)),
% 0.22/0.50 inference(unit_resolution,[status(thm)],[216, 213, 206])).
% 0.22/0.50 tff(218,plain,
% 0.22/0.50 (^[B: $i, A: $i] : refl(((~smaller(A, B)) | smaller_or_equal(A, B)) <=> ((~smaller(A, B)) | smaller_or_equal(A, B)))),
% 0.22/0.50 inference(bind,[status(th)],[])).
% 0.22/0.50 tff(219,plain,
% 0.22/0.50 (![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B)) <=> ![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B))),
% 0.22/0.50 inference(quant_intro,[status(thm)],[218])).
% 0.22/0.50 tff(220,plain,
% 0.22/0.50 (![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B)) <=> ![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B))),
% 0.22/0.50 inference(rewrite,[status(thm)],[])).
% 0.22/0.50 tff(221,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')).
% 0.22/0.50 tff(222,plain,
% 0.22/0.50 (![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B))),
% 0.22/0.50 inference(modus_ponens,[status(thm)],[221, 220])).
% 0.22/0.50 tff(223,plain,(
% 0.22/0.50 ![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B))),
% 0.22/0.50 inference(skolemize,[status(sab)],[222])).
% 0.22/0.50 tff(224,plain,
% 0.22/0.50 (![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B))),
% 0.22/0.50 inference(modus_ponens,[status(thm)],[223, 219])).
% 0.22/0.50 tff(225,plain,
% 0.22/0.50 (((~![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B))) | ((~smaller(zero, tau)) | smaller_or_equal(zero, tau))) <=> ((~![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B))) | (~smaller(zero, tau)) | smaller_or_equal(zero, tau))),
% 0.22/0.50 inference(rewrite,[status(thm)],[])).
% 0.22/0.50 tff(226,plain,
% 0.22/0.50 ((~![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B))) | ((~smaller(zero, tau)) | smaller_or_equal(zero, tau))),
% 0.22/0.50 inference(quant_inst,[status(thm)],[])).
% 0.22/0.50 tff(227,plain,
% 0.22/0.50 ((~![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B))) | (~smaller(zero, tau)) | smaller_or_equal(zero, tau)),
% 0.22/0.50 inference(modus_ponens,[status(thm)],[226, 225])).
% 0.22/0.50 tff(228,plain,
% 0.22/0.50 (smaller_or_equal(zero, tau)),
% 0.22/0.50 inference(unit_resolution,[status(thm)],[227, 224, 217])).
% 0.22/0.50 tff(229,plain,
% 0.22/0.50 (smaller_or_equal(age(sk2, sk3), tau)),
% 0.22/0.50 inference(modus_ponens,[status(thm)],[228, 203])).
% 0.22/0.50 tff(230,plain,
% 0.22/0.50 (((~![B: $i, A: $i] : ((~positional_advantage(A, B)) | (~smaller_or_equal(age(A, B), tau)) | (~robust_position(A)))) | ((~positional_advantage(sk2, sk3)) | (~smaller_or_equal(age(sk2, sk3), tau)) | (~robust_position(sk2)))) <=> ((~![B: $i, A: $i] : ((~positional_advantage(A, B)) | (~smaller_or_equal(age(A, B), tau)) | (~robust_position(A)))) | (~positional_advantage(sk2, sk3)) | (~smaller_or_equal(age(sk2, sk3), tau)) | (~robust_position(sk2)))),
% 0.22/0.50 inference(rewrite,[status(thm)],[])).
% 0.22/0.50 tff(231,plain,
% 0.22/0.50 ((~![B: $i, A: $i] : ((~positional_advantage(A, B)) | (~smaller_or_equal(age(A, B), tau)) | (~robust_position(A)))) | ((~positional_advantage(sk2, sk3)) | (~smaller_or_equal(age(sk2, sk3), tau)) | (~robust_position(sk2)))),
% 0.22/0.50 inference(quant_inst,[status(thm)],[])).
% 0.22/0.50 tff(232,plain,
% 0.22/0.50 ((~![B: $i, A: $i] : ((~positional_advantage(A, B)) | (~smaller_or_equal(age(A, B), tau)) | (~robust_position(A)))) | (~positional_advantage(sk2, sk3)) | (~smaller_or_equal(age(sk2, sk3), tau)) | (~robust_position(sk2))),
% 0.22/0.50 inference(modus_ponens,[status(thm)],[231, 230])).
% 0.22/0.50 tff(233,plain,
% 0.22/0.50 ((~positional_advantage(sk2, sk3)) | (~smaller_or_equal(age(sk2, sk3), tau))),
% 0.22/0.50 inference(unit_resolution,[status(thm)],[232, 105, 95])).
% 0.22/0.50 tff(234,plain,
% 0.22/0.50 (~positional_advantage(sk2, sk3)),
% 0.22/0.50 inference(unit_resolution,[status(thm)],[233, 229])).
% 0.22/0.50 tff(235,plain,
% 0.22/0.50 (((~![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)) | positional_advantage(sk2, sk3) | has_immunity(sk2, sk3) | (~is_aligned(sk2, sk3)) | (hazard_of_mortality(sk2, sk3) = 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)) | positional_advantage(sk2, sk3) | has_immunity(sk2, sk3) | (~is_aligned(sk2, sk3)) | (hazard_of_mortality(sk2, sk3) = mod2))),
% 0.22/0.50 inference(rewrite,[status(thm)],[])).
% 0.22/0.50 tff(236,plain,
% 0.22/0.50 ((has_immunity(sk2, sk3) | (~organization(sk2)) | positional_advantage(sk2, sk3) | (~is_aligned(sk2, sk3)) | (hazard_of_mortality(sk2, sk3) = mod2)) <=> ((~organization(sk2)) | positional_advantage(sk2, sk3) | has_immunity(sk2, sk3) | (~is_aligned(sk2, sk3)) | (hazard_of_mortality(sk2, sk3) = mod2))),
% 0.22/0.50 inference(rewrite,[status(thm)],[])).
% 0.22/0.50 tff(237,plain,
% 0.22/0.50 (((~![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, sk3) | (~organization(sk2)) | positional_advantage(sk2, sk3) | (~is_aligned(sk2, sk3)) | (hazard_of_mortality(sk2, sk3) = 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)) | positional_advantage(sk2, sk3) | has_immunity(sk2, sk3) | (~is_aligned(sk2, sk3)) | (hazard_of_mortality(sk2, sk3) = mod2)))),
% 0.22/0.50 inference(monotonicity,[status(thm)],[236])).
% 0.22/0.50 tff(238,plain,
% 0.22/0.50 (((~![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, sk3) | (~organization(sk2)) | positional_advantage(sk2, sk3) | (~is_aligned(sk2, sk3)) | (hazard_of_mortality(sk2, sk3) = 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)) | positional_advantage(sk2, sk3) | has_immunity(sk2, sk3) | (~is_aligned(sk2, sk3)) | (hazard_of_mortality(sk2, sk3) = mod2))),
% 0.22/0.50 inference(transitivity,[status(thm)],[237, 235])).
% 0.22/0.50 tff(239,plain,
% 0.22/0.50 ((~![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, sk3) | (~organization(sk2)) | positional_advantage(sk2, sk3) | (~is_aligned(sk2, sk3)) | (hazard_of_mortality(sk2, sk3) = mod2))),
% 0.22/0.50 inference(quant_inst,[status(thm)],[])).
% 0.22/0.50 tff(240,plain,
% 0.22/0.50 ((~![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)) | positional_advantage(sk2, sk3) | has_immunity(sk2, sk3) | (~is_aligned(sk2, sk3)) | (hazard_of_mortality(sk2, sk3) = mod2)),
% 0.22/0.50 inference(modus_ponens,[status(thm)],[239, 238])).
% 0.22/0.50 tff(241,plain,
% 0.22/0.50 (positional_advantage(sk2, sk3) | has_immunity(sk2, sk3) | (hazard_of_mortality(sk2, sk3) = mod2)),
% 0.22/0.50 inference(unit_resolution,[status(thm)],[240, 177, 9, 40])).
% 0.22/0.50 tff(242,plain,
% 0.22/0.50 (has_immunity(sk2, sk3) | (hazard_of_mortality(sk2, sk3) = mod2)),
% 0.22/0.50 inference(unit_resolution,[status(thm)],[241, 234])).
% 0.22/0.50 tff(243,plain,
% 0.22/0.50 (hazard_of_mortality(sk2, sk3) = mod2),
% 0.22/0.50 inference(unit_resolution,[status(thm)],[242, 201])).
% 0.22/0.50 tff(244,plain,
% 0.22/0.50 ((hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3)) <=> (hazard_of_mortality(sk2, sk4) = mod2)),
% 0.22/0.50 inference(monotonicity,[status(thm)],[243])).
% 0.22/0.50 tff(245,plain,
% 0.22/0.50 ((hazard_of_mortality(sk2, sk4) = mod2) <=> (hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3))),
% 0.22/0.50 inference(symmetry,[status(thm)],[244])).
% 0.22/0.50 tff(246,plain,
% 0.22/0.50 (hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3)),
% 0.22/0.50 inference(modus_ponens,[status(thm)],[186, 245])).
% 0.22/0.50 tff(247,plain,
% 0.22/0.50 (((~smaller(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4))) | (~(hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3)))) <=> ((~smaller(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4))) | (~(hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3))))),
% 0.22/0.50 inference(rewrite,[status(thm)],[])).
% 0.22/0.50 tff(248,axiom,((~smaller(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_8_71')).
% 0.22/0.50 tff(249,plain,
% 0.22/0.50 ((~smaller(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4))) | (~(hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3)))),
% 0.22/0.50 inference(modus_ponens,[status(thm)],[248, 247])).
% 0.22/0.50 tff(250,plain,
% 0.22/0.50 ((~smaller(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4))) | (~(hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3)))),
% 0.22/0.50 inference(modus_ponens,[status(thm)],[249, 247])).
% 0.22/0.50 tff(251,plain,
% 0.22/0.50 ((~smaller(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4))) | (~(hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3)))),
% 0.22/0.50 inference(modus_ponens,[status(thm)],[250, 247])).
% 0.22/0.50 tff(252,plain,
% 0.22/0.50 ((~smaller(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4))) | (~(hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3)))),
% 0.22/0.50 inference(modus_ponens,[status(thm)],[251, 247])).
% 0.22/0.50 tff(253,plain,
% 0.22/0.51 ((~smaller(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4))) | (~(hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3)))),
% 0.22/0.51 inference(modus_ponens,[status(thm)],[252, 247])).
% 0.22/0.51 tff(254,plain,
% 0.22/0.51 (~smaller(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4))),
% 0.22/0.51 inference(unit_resolution,[status(thm)],[253, 246])).
% 0.22/0.51 tff(255,plain,
% 0.22/0.51 (~smaller(mod1, mod2)),
% 0.22/0.51 inference(modus_ponens,[status(thm)],[254, 192])).
% 0.22/0.51 tff(256,plain,
% 0.22/0.51 (greater(mod2, mod1) <=> greater(mod2, mod1)),
% 0.22/0.51 inference(rewrite,[status(thm)],[])).
% 0.22/0.51 tff(257,axiom,(greater(mod2, mod1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','assumption_19_61')).
% 0.22/0.51 tff(258,plain,
% 0.22/0.51 (greater(mod2, mod1)),
% 0.22/0.51 inference(modus_ponens,[status(thm)],[257, 256])).
% 0.22/0.51 tff(259,plain,
% 0.22/0.51 (((~![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))) | ((~greater(mod2, mod1)) | smaller(mod1, mod2))) <=> ((~![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))) | (~greater(mod2, mod1)) | smaller(mod1, mod2))),
% 0.22/0.51 inference(rewrite,[status(thm)],[])).
% 0.22/0.51 tff(260,plain,
% 0.22/0.51 ((~![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))) | ((~greater(mod2, mod1)) | smaller(mod1, mod2))),
% 0.22/0.51 inference(quant_inst,[status(thm)],[])).
% 0.22/0.51 tff(261,plain,
% 0.22/0.51 ((~![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))) | (~greater(mod2, mod1)) | smaller(mod1, mod2)),
% 0.22/0.51 inference(modus_ponens,[status(thm)],[260, 259])).
% 0.22/0.51 tff(262,plain,
% 0.22/0.51 (smaller(mod1, mod2)),
% 0.22/0.51 inference(unit_resolution,[status(thm)],[261, 213, 258])).
% 0.22/0.51 tff(263,plain,
% 0.22/0.51 ($false),
% 0.22/0.51 inference(unit_resolution,[status(thm)],[262, 255])).
% 0.22/0.51 tff(264,plain,(~(hazard_of_mortality(sk2, sk5) = mod1)), inference(lemma,lemma(discharge,[]))).
% 0.22/0.51 tff(265,plain,
% 0.22/0.51 (greater(age(sk2, sk5), tau) <=> greater(age(sk2, sk5), sigma)),
% 0.22/0.51 inference(monotonicity,[status(thm)],[86])).
% 0.22/0.51 tff(266,plain,
% 0.22/0.51 (greater(age(sk2, sk5), sigma) <=> greater(age(sk2, sk5), tau)),
% 0.22/0.51 inference(symmetry,[status(thm)],[265])).
% 0.22/0.51 tff(267,plain,
% 0.22/0.51 (greater(age(sk2, sk5), tau)),
% 0.22/0.51 inference(modus_ponens,[status(thm)],[3, 266])).
% 0.22/0.51 tff(268,plain,
% 0.22/0.51 (((~![B: $i, A: $i] : (positional_advantage(A, B) | (~robust_position(A)) | (~greater(age(A, B), tau)))) | ((~greater(age(sk2, sk5), tau)) | (~robust_position(sk2)) | positional_advantage(sk2, sk5))) <=> ((~![B: $i, A: $i] : (positional_advantage(A, B) | (~robust_position(A)) | (~greater(age(A, B), tau)))) | (~greater(age(sk2, sk5), tau)) | (~robust_position(sk2)) | positional_advantage(sk2, sk5))),
% 0.22/0.51 inference(rewrite,[status(thm)],[])).
% 0.22/0.51 tff(269,plain,
% 0.22/0.51 ((positional_advantage(sk2, sk5) | (~robust_position(sk2)) | (~greater(age(sk2, sk5), tau))) <=> ((~greater(age(sk2, sk5), tau)) | (~robust_position(sk2)) | positional_advantage(sk2, sk5))),
% 0.22/0.51 inference(rewrite,[status(thm)],[])).
% 0.22/0.51 tff(270,plain,
% 0.22/0.51 (((~![B: $i, A: $i] : (positional_advantage(A, B) | (~robust_position(A)) | (~greater(age(A, B), tau)))) | (positional_advantage(sk2, sk5) | (~robust_position(sk2)) | (~greater(age(sk2, sk5), tau)))) <=> ((~![B: $i, A: $i] : (positional_advantage(A, B) | (~robust_position(A)) | (~greater(age(A, B), tau)))) | ((~greater(age(sk2, sk5), tau)) | (~robust_position(sk2)) | positional_advantage(sk2, sk5)))),
% 0.22/0.51 inference(monotonicity,[status(thm)],[269])).
% 0.22/0.51 tff(271,plain,
% 0.22/0.51 (((~![B: $i, A: $i] : (positional_advantage(A, B) | (~robust_position(A)) | (~greater(age(A, B), tau)))) | (positional_advantage(sk2, sk5) | (~robust_position(sk2)) | (~greater(age(sk2, sk5), tau)))) <=> ((~![B: $i, A: $i] : (positional_advantage(A, B) | (~robust_position(A)) | (~greater(age(A, B), tau)))) | (~greater(age(sk2, sk5), tau)) | (~robust_position(sk2)) | positional_advantage(sk2, sk5))),
% 0.22/0.51 inference(transitivity,[status(thm)],[270, 268])).
% 0.22/0.51 tff(272,plain,
% 0.22/0.51 ((~![B: $i, A: $i] : (positional_advantage(A, B) | (~robust_position(A)) | (~greater(age(A, B), tau)))) | (positional_advantage(sk2, sk5) | (~robust_position(sk2)) | (~greater(age(sk2, sk5), tau)))),
% 0.22/0.51 inference(quant_inst,[status(thm)],[])).
% 0.22/0.51 tff(273,plain,
% 0.22/0.51 ((~![B: $i, A: $i] : (positional_advantage(A, B) | (~robust_position(A)) | (~greater(age(A, B), tau)))) | (~greater(age(sk2, sk5), tau)) | (~robust_position(sk2)) | positional_advantage(sk2, sk5)),
% 0.22/0.51 inference(modus_ponens,[status(thm)],[272, 271])).
% 0.22/0.51 tff(274,plain,
% 0.22/0.51 ((~greater(age(sk2, sk5), tau)) | positional_advantage(sk2, sk5)),
% 0.22/0.51 inference(unit_resolution,[status(thm)],[273, 123, 95])).
% 0.22/0.51 tff(275,plain,
% 0.22/0.51 (positional_advantage(sk2, sk5)),
% 0.22/0.51 inference(unit_resolution,[status(thm)],[274, 267])).
% 0.22/0.51 tff(276,plain,
% 0.22/0.51 (^[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)))),
% 0.22/0.51 inference(bind,[status(th)],[])).
% 0.22/0.51 tff(277,plain,
% 0.22/0.51 (![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))),
% 0.22/0.51 inference(quant_intro,[status(thm)],[276])).
% 0.22/0.51 tff(278,plain,
% 0.22/0.51 (![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))),
% 0.22/0.51 inference(rewrite,[status(thm)],[])).
% 0.22/0.51 tff(279,plain,
% 0.22/0.51 (^[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))))),
% 0.22/0.51 inference(bind,[status(th)],[])).
% 0.22/0.51 tff(280,plain,
% 0.22/0.51 (![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))),
% 0.22/0.51 inference(quant_intro,[status(thm)],[279])).
% 0.22/0.51 tff(281,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/sandbox2/benchmark/theBenchmark.p','assumption_17_58')).
% 0.22/0.51 tff(282,plain,
% 0.22/0.51 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = mod1))),
% 0.22/0.51 inference(modus_ponens,[status(thm)],[281, 280])).
% 0.22/0.51 tff(283,plain,
% 0.22/0.51 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = mod1))),
% 0.22/0.51 inference(modus_ponens,[status(thm)],[282, 278])).
% 0.22/0.51 tff(284,plain,(
% 0.22/0.51 ![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = mod1))),
% 0.22/0.51 inference(skolemize,[status(sab)],[283])).
% 0.22/0.51 tff(285,plain,
% 0.22/0.51 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = mod1))),
% 0.22/0.51 inference(modus_ponens,[status(thm)],[284, 277])).
% 0.22/0.51 tff(286,plain,
% 0.22/0.51 (((~![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) | (~positional_advantage(sk2, sk5)) | has_immunity(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) | (~positional_advantage(sk2, sk5)) | has_immunity(sk2, sk5) | (hazard_of_mortality(sk2, sk5) = mod1))),
% 0.22/0.51 inference(rewrite,[status(thm)],[])).
% 0.22/0.51 tff(287,plain,
% 0.22/0.51 ((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) | (~positional_advantage(sk2, sk5)) | has_immunity(sk2, sk5) | (hazard_of_mortality(sk2, sk5) = mod1))),
% 0.22/0.51 inference(rewrite,[status(thm)],[])).
% 0.22/0.51 tff(288,plain,
% 0.22/0.51 (((~![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) | (~positional_advantage(sk2, sk5)) | has_immunity(sk2, sk5) | (hazard_of_mortality(sk2, sk5) = mod1)))),
% 0.22/0.51 inference(monotonicity,[status(thm)],[287])).
% 0.22/0.51 tff(289,plain,
% 0.22/0.51 (((~![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) | (~positional_advantage(sk2, sk5)) | has_immunity(sk2, sk5) | (hazard_of_mortality(sk2, sk5) = mod1))),
% 0.22/0.51 inference(transitivity,[status(thm)],[288, 286])).
% 0.22/0.51 tff(290,plain,
% 0.22/0.51 ((~![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))),
% 0.22/0.51 inference(quant_inst,[status(thm)],[])).
% 0.22/0.51 tff(291,plain,
% 0.22/0.51 ((~![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) | (~positional_advantage(sk2, sk5)) | has_immunity(sk2, sk5) | (hazard_of_mortality(sk2, sk5) = mod1)),
% 0.22/0.51 inference(modus_ponens,[status(thm)],[290, 289])).
% 0.22/0.51 tff(292,plain,
% 0.22/0.51 (is_aligned(sk2, sk5) | has_immunity(sk2, sk5) | (hazard_of_mortality(sk2, sk5) = mod1)),
% 0.22/0.51 inference(unit_resolution,[status(thm)],[291, 285, 9, 275])).
% 0.22/0.51 tff(293,plain,
% 0.22/0.51 (is_aligned(sk2, sk5) | has_immunity(sk2, sk5)),
% 0.22/0.51 inference(unit_resolution,[status(thm)],[292, 264])).
% 0.22/0.51 tff(294,plain,
% 0.22/0.51 (has_immunity(sk2, sk5)),
% 0.22/0.52 inference(unit_resolution,[status(thm)],[293, 57])).
% 0.22/0.52 tff(295,plain,
% 0.22/0.52 (((~![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))) | (has_endowment(sk2) | (~organization(sk2)) | (~has_immunity(sk2, sk5)))) <=> ((~![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))) | has_endowment(sk2) | (~organization(sk2)) | (~has_immunity(sk2, sk5)))),
% 0.22/0.52 inference(rewrite,[status(thm)],[])).
% 0.22/0.52 tff(296,plain,
% 0.22/0.52 (((~has_immunity(sk2, sk5)) | has_endowment(sk2) | (~organization(sk2))) <=> (has_endowment(sk2) | (~organization(sk2)) | (~has_immunity(sk2, sk5)))),
% 0.22/0.52 inference(rewrite,[status(thm)],[])).
% 0.22/0.52 tff(297,plain,
% 0.22/0.52 (((~![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))) | ((~has_immunity(sk2, sk5)) | has_endowment(sk2) | (~organization(sk2)))) <=> ((~![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))) | (has_endowment(sk2) | (~organization(sk2)) | (~has_immunity(sk2, sk5))))),
% 0.22/0.52 inference(monotonicity,[status(thm)],[296])).
% 0.22/0.52 tff(298,plain,
% 0.22/0.52 (((~![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))) | ((~has_immunity(sk2, sk5)) | has_endowment(sk2) | (~organization(sk2)))) <=> ((~![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))) | has_endowment(sk2) | (~organization(sk2)) | (~has_immunity(sk2, sk5)))),
% 0.22/0.52 inference(transitivity,[status(thm)],[297, 295])).
% 0.22/0.52 tff(299,plain,
% 0.22/0.52 ((~![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))) | ((~has_immunity(sk2, sk5)) | has_endowment(sk2) | (~organization(sk2)))),
% 0.22/0.52 inference(quant_inst,[status(thm)],[])).
% 0.22/0.52 tff(300,plain,
% 0.22/0.52 ((~![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))) | has_endowment(sk2) | (~organization(sk2)) | (~has_immunity(sk2, sk5))),
% 0.22/0.52 inference(modus_ponens,[status(thm)],[299, 298])).
% 0.22/0.52 tff(301,plain,
% 0.22/0.52 ($false),
% 0.22/0.52 inference(unit_resolution,[status(thm)],[300, 71, 9, 61, 294])).
% 0.22/0.52 % SZS output end Proof
% 0.22/0.52 % E exiting
%------------------------------------------------------------------------------