%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : MGT061-1 : TPTP v9.3.0. Released v2.4.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : run_E %s %d THM
% Computer : n014.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 0.14s 0.47s
% Output : Proof 0.24s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT061-1 : TPTP v9.3.0. Released v2.4.0.
% 0.00/0.03 % Command : run_E %s %d THM
% 0.09/0.35 % Computer : n014.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 7 13:37:28 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.14/0.47 % SZS status Unsatisfiable
% 0.14/0.47 % SZS output start Proof
% 0.14/0.47 tff(dissimilar_type, type, (
% 0.14/0.47 dissimilar: ( $i * $i * $i ) > $o)).
% 0.14/0.47 tff(sk4_type, type, (
% 0.14/0.47 sk4: $i)).
% 0.14/0.47 tff(sk3_type, type, (
% 0.14/0.47 sk3: $i)).
% 0.14/0.47 tff(sk2_type, type, (
% 0.14/0.47 sk2: $i)).
% 0.14/0.47 tff(is_aligned_type, type, (
% 0.14/0.47 is_aligned: ( $i * $i ) > $o)).
% 0.14/0.47 tff(has_immunity_type, type, (
% 0.14/0.47 has_immunity: ( $i * $i ) > $o)).
% 0.14/0.47 tff(has_endowment_type, type, (
% 0.14/0.47 has_endowment: $i > $o)).
% 0.14/0.47 tff(organization_type, type, (
% 0.14/0.47 organization: $i > $o)).
% 0.14/0.47 tff(low_type, type, (
% 0.14/0.47 low: $i)).
% 0.14/0.47 tff(hazard_of_mortality_type, type, (
% 0.14/0.47 hazard_of_mortality: ( $i * $i ) > $i)).
% 0.14/0.47 tff(positional_advantage_type, type, (
% 0.14/0.47 positional_advantage: ( $i * $i ) > $o)).
% 0.14/0.47 tff(smaller_or_equal_type, type, (
% 0.14/0.47 smaller_or_equal: ( $i * $i ) > $o)).
% 0.14/0.47 tff(sigma_type, type, (
% 0.14/0.47 sigma: $i)).
% 0.14/0.47 tff(age_type, type, (
% 0.14/0.47 age: ( $i * $i ) > $i)).
% 0.14/0.47 tff(zero_type, type, (
% 0.14/0.47 zero: $i)).
% 0.14/0.47 tff(smaller_type, type, (
% 0.14/0.47 smaller: ( $i * $i ) > $o)).
% 0.14/0.47 tff(greater_type, type, (
% 0.14/0.47 greater: ( $i * $i ) > $o)).
% 0.14/0.47 tff(fragile_position_type, type, (
% 0.14/0.47 fragile_position: $i > $o)).
% 0.14/0.47 tff(sk5_type, type, (
% 0.14/0.47 sk5: $i)).
% 0.14/0.47 tff(high_type, type, (
% 0.14/0.47 high: $i)).
% 0.14/0.47 tff(very_low_type, type, (
% 0.14/0.47 very_low: $i)).
% 0.14/0.47 tff(mod1_type, type, (
% 0.14/0.47 mod1: $i)).
% 0.14/0.47 tff(1,assumption,(has_immunity(sk2, sk4)), introduced(assumption)).
% 0.14/0.47 tff(2,plain,
% 0.14/0.47 ((~has_endowment(sk2)) <=> (~has_endowment(sk2))),
% 0.14/0.47 inference(rewrite,[status(thm)],[])).
% 0.14/0.47 tff(3,axiom,(~has_endowment(sk2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','theorem_7_68')).
% 0.14/0.47 tff(4,plain,
% 0.14/0.47 (~has_endowment(sk2)),
% 0.14/0.47 inference(modus_ponens,[status(thm)],[3, 2])).
% 0.14/0.47 tff(5,plain,
% 0.14/0.47 (organization(sk2) <=> organization(sk2)),
% 0.14/0.47 inference(rewrite,[status(thm)],[])).
% 0.14/0.47 tff(6,axiom,(organization(sk2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','theorem_7_66')).
% 0.14/0.47 tff(7,plain,
% 0.14/0.47 (organization(sk2)),
% 0.14/0.47 inference(modus_ponens,[status(thm)],[6, 5])).
% 0.14/0.47 tff(8,plain,
% 0.14/0.47 (^[B: $i, A: $i] : refl(((~has_immunity(A, B)) | has_endowment(A) | (~organization(A))) <=> ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A))))),
% 0.14/0.47 inference(bind,[status(th)],[])).
% 0.14/0.47 tff(9,plain,
% 0.14/0.47 (![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)))),
% 0.14/0.47 inference(quant_intro,[status(thm)],[8])).
% 0.14/0.47 tff(10,plain,
% 0.14/0.47 (![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)))),
% 0.14/0.47 inference(rewrite,[status(thm)],[])).
% 0.14/0.47 tff(11,plain,
% 0.14/0.47 (^[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)))))),
% 0.14/0.47 inference(bind,[status(th)],[])).
% 0.14/0.47 tff(12,plain,
% 0.14/0.47 (![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)))),
% 0.14/0.47 inference(quant_intro,[status(thm)],[11])).
% 0.14/0.47 tff(13,axiom,(![B: $i, A: $i] : (((~organization(A)) | has_endowment(A)) | (~has_immunity(A, B)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','assumption_1_39')).
% 0.14/0.47 tff(14,plain,
% 0.14/0.47 (![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))),
% 0.14/0.47 inference(modus_ponens,[status(thm)],[13, 12])).
% 0.14/0.47 tff(15,plain,
% 0.14/0.47 (![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))),
% 0.14/0.47 inference(modus_ponens,[status(thm)],[14, 10])).
% 0.14/0.47 tff(16,plain,(
% 0.14/0.47 ![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))),
% 0.14/0.47 inference(skolemize,[status(sab)],[15])).
% 0.14/0.47 tff(17,plain,
% 0.14/0.47 (![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))),
% 0.14/0.47 inference(modus_ponens,[status(thm)],[16, 9])).
% 0.14/0.47 tff(18,plain,
% 0.14/0.47 (((~![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)))),
% 0.14/0.47 inference(rewrite,[status(thm)],[])).
% 0.14/0.47 tff(19,plain,
% 0.14/0.47 (((~has_immunity(sk2, sk4)) | has_endowment(sk2) | (~organization(sk2))) <=> (has_endowment(sk2) | (~organization(sk2)) | (~has_immunity(sk2, sk4)))),
% 0.14/0.47 inference(rewrite,[status(thm)],[])).
% 0.14/0.47 tff(20,plain,
% 0.14/0.47 (((~![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))))),
% 0.14/0.47 inference(monotonicity,[status(thm)],[19])).
% 0.14/0.47 tff(21,plain,
% 0.14/0.47 (((~![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)))),
% 0.14/0.47 inference(transitivity,[status(thm)],[20, 18])).
% 0.14/0.47 tff(22,plain,
% 0.14/0.47 ((~![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))) | ((~has_immunity(sk2, sk4)) | has_endowment(sk2) | (~organization(sk2)))),
% 0.14/0.47 inference(quant_inst,[status(thm)],[])).
% 0.14/0.47 tff(23,plain,
% 0.14/0.47 ((~![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))) | has_endowment(sk2) | (~organization(sk2)) | (~has_immunity(sk2, sk4))),
% 0.14/0.47 inference(modus_ponens,[status(thm)],[22, 21])).
% 0.14/0.47 tff(24,plain,
% 0.14/0.47 ($false),
% 0.14/0.47 inference(unit_resolution,[status(thm)],[23, 17, 7, 4, 1])).
% 0.14/0.47 tff(25,plain,(~has_immunity(sk2, sk4)), inference(lemma,lemma(discharge,[]))).
% 0.14/0.47 tff(26,assumption,(has_immunity(sk2, sk3)), introduced(assumption)).
% 0.14/0.47 tff(27,plain,
% 0.14/0.47 (((~![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)))),
% 0.14/0.47 inference(rewrite,[status(thm)],[])).
% 0.14/0.47 tff(28,plain,
% 0.14/0.47 (((~has_immunity(sk2, sk3)) | has_endowment(sk2) | (~organization(sk2))) <=> (has_endowment(sk2) | (~organization(sk2)) | (~has_immunity(sk2, sk3)))),
% 0.14/0.47 inference(rewrite,[status(thm)],[])).
% 0.14/0.47 tff(29,plain,
% 0.14/0.47 (((~![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))))),
% 0.14/0.47 inference(monotonicity,[status(thm)],[28])).
% 0.14/0.47 tff(30,plain,
% 0.14/0.47 (((~![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)))),
% 0.14/0.47 inference(transitivity,[status(thm)],[29, 27])).
% 0.14/0.47 tff(31,plain,
% 0.14/0.47 ((~![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))) | ((~has_immunity(sk2, sk3)) | has_endowment(sk2) | (~organization(sk2)))),
% 0.14/0.47 inference(quant_inst,[status(thm)],[])).
% 0.14/0.47 tff(32,plain,
% 0.14/0.47 ((~![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))) | has_endowment(sk2) | (~organization(sk2)) | (~has_immunity(sk2, sk3))),
% 0.14/0.47 inference(modus_ponens,[status(thm)],[31, 30])).
% 0.14/0.47 tff(33,plain,
% 0.14/0.47 ($false),
% 0.14/0.47 inference(unit_resolution,[status(thm)],[32, 17, 7, 4, 26])).
% 0.14/0.47 tff(34,plain,(~has_immunity(sk2, sk3)), inference(lemma,lemma(discharge,[]))).
% 0.14/0.47 tff(35,plain,
% 0.14/0.47 ((age(sk2, sk3) = zero) <=> (age(sk2, sk3) = zero)),
% 0.14/0.47 inference(rewrite,[status(thm)],[])).
% 0.14/0.47 tff(36,axiom,(age(sk2, sk3) = zero), file('/export/starexec/sandbox/benchmark/theBenchmark.p','theorem_7_69')).
% 0.14/0.47 tff(37,plain,
% 0.14/0.47 (age(sk2, sk3) = zero),
% 0.14/0.47 inference(modus_ponens,[status(thm)],[36, 35])).
% 0.14/0.47 tff(38,plain,
% 0.14/0.47 (zero = age(sk2, sk3)),
% 0.14/0.47 inference(symmetry,[status(thm)],[37])).
% 0.14/0.47 tff(39,plain,
% 0.14/0.47 (smaller_or_equal(zero, sigma) <=> smaller_or_equal(age(sk2, sk3), sigma)),
% 0.14/0.47 inference(monotonicity,[status(thm)],[38])).
% 0.14/0.47 tff(40,plain,
% 0.14/0.47 (greater(sigma, zero) <=> greater(sigma, zero)),
% 0.14/0.47 inference(rewrite,[status(thm)],[])).
% 0.14/0.47 tff(41,axiom,(greater(sigma, zero)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','theorem_7_70')).
% 0.14/0.47 tff(42,plain,
% 0.14/0.47 (greater(sigma, zero)),
% 0.14/0.47 inference(modus_ponens,[status(thm)],[41, 40])).
% 0.14/0.47 tff(43,plain,
% 0.14/0.47 (^[B: $i, A: $i] : refl(((~greater(A, B)) | smaller(B, A)) <=> ((~greater(A, B)) | smaller(B, A)))),
% 0.14/0.47 inference(bind,[status(th)],[])).
% 0.14/0.47 tff(44,plain,
% 0.14/0.47 (![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A)) <=> ![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))),
% 0.14/0.47 inference(quant_intro,[status(thm)],[43])).
% 0.14/0.47 tff(45,plain,
% 0.14/0.47 (![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A)) <=> ![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))),
% 0.14/0.47 inference(rewrite,[status(thm)],[])).
% 0.14/0.47 tff(46,axiom,(![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))), file('/export/starexec/sandbox/benchmark/Axioms/MGT001-0.ax','definition_smaller_8')).
% 0.14/0.47 tff(47,plain,
% 0.14/0.47 (![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))),
% 0.14/0.47 inference(modus_ponens,[status(thm)],[46, 45])).
% 0.14/0.47 tff(48,plain,(
% 0.14/0.47 ![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))),
% 0.14/0.47 inference(skolemize,[status(sab)],[47])).
% 0.14/0.47 tff(49,plain,
% 0.14/0.47 (![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))),
% 0.14/0.47 inference(modus_ponens,[status(thm)],[48, 44])).
% 0.14/0.47 tff(50,plain,
% 0.14/0.47 (((~![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))) | ((~greater(sigma, zero)) | smaller(zero, sigma))) <=> ((~![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))) | (~greater(sigma, zero)) | smaller(zero, sigma))),
% 0.14/0.47 inference(rewrite,[status(thm)],[])).
% 0.14/0.47 tff(51,plain,
% 0.14/0.47 ((~![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))) | ((~greater(sigma, zero)) | smaller(zero, sigma))),
% 0.14/0.47 inference(quant_inst,[status(thm)],[])).
% 0.14/0.47 tff(52,plain,
% 0.14/0.47 ((~![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))) | (~greater(sigma, zero)) | smaller(zero, sigma)),
% 0.14/0.47 inference(modus_ponens,[status(thm)],[51, 50])).
% 0.14/0.47 tff(53,plain,
% 0.14/0.47 (smaller(zero, sigma)),
% 0.14/0.47 inference(unit_resolution,[status(thm)],[52, 49, 42])).
% 0.14/0.47 tff(54,plain,
% 0.14/0.47 (^[B: $i, A: $i] : refl(((~smaller(A, B)) | smaller_or_equal(A, B)) <=> ((~smaller(A, B)) | smaller_or_equal(A, B)))),
% 0.14/0.47 inference(bind,[status(th)],[])).
% 0.14/0.47 tff(55,plain,
% 0.14/0.47 (![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B)) <=> ![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B))),
% 0.14/0.47 inference(quant_intro,[status(thm)],[54])).
% 0.14/0.47 tff(56,plain,
% 0.14/0.47 (![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B)) <=> ![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B))),
% 0.14/0.47 inference(rewrite,[status(thm)],[])).
% 0.14/0.47 tff(57,axiom,(![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B))), file('/export/starexec/sandbox/benchmark/Axioms/MGT001-0.ax','definition_smaller_or_equal_2')).
% 0.14/0.47 tff(58,plain,
% 0.14/0.47 (![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B))),
% 0.14/0.47 inference(modus_ponens,[status(thm)],[57, 56])).
% 0.14/0.47 tff(59,plain,(
% 0.14/0.47 ![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B))),
% 0.14/0.47 inference(skolemize,[status(sab)],[58])).
% 0.14/0.47 tff(60,plain,
% 0.14/0.47 (![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B))),
% 0.14/0.47 inference(modus_ponens,[status(thm)],[59, 55])).
% 0.14/0.47 tff(61,plain,
% 0.14/0.47 (((~![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B))) | ((~smaller(zero, sigma)) | smaller_or_equal(zero, sigma))) <=> ((~![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B))) | (~smaller(zero, sigma)) | smaller_or_equal(zero, sigma))),
% 0.14/0.47 inference(rewrite,[status(thm)],[])).
% 0.14/0.47 tff(62,plain,
% 0.14/0.47 ((~![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B))) | ((~smaller(zero, sigma)) | smaller_or_equal(zero, sigma))),
% 0.14/0.47 inference(quant_inst,[status(thm)],[])).
% 0.14/0.47 tff(63,plain,
% 0.14/0.47 ((~![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B))) | (~smaller(zero, sigma)) | smaller_or_equal(zero, sigma)),
% 0.14/0.47 inference(modus_ponens,[status(thm)],[62, 61])).
% 0.14/0.47 tff(64,plain,
% 0.14/0.47 (smaller_or_equal(zero, sigma)),
% 0.14/0.47 inference(unit_resolution,[status(thm)],[63, 60, 53])).
% 0.14/0.47 tff(65,plain,
% 0.14/0.47 (smaller_or_equal(age(sk2, sk3), sigma)),
% 0.14/0.47 inference(modus_ponens,[status(thm)],[64, 39])).
% 0.14/0.47 tff(66,plain,
% 0.14/0.47 (fragile_position(sk2) <=> fragile_position(sk2)),
% 0.14/0.47 inference(rewrite,[status(thm)],[])).
% 0.14/0.47 tff(67,axiom,(fragile_position(sk2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','theorem_7_67')).
% 0.14/0.47 tff(68,plain,
% 0.14/0.47 (fragile_position(sk2)),
% 0.14/0.47 inference(modus_ponens,[status(thm)],[67, 66])).
% 0.14/0.47 tff(69,plain,
% 0.14/0.47 (^[B: $i, A: $i] : refl((positional_advantage(A, B) | (~smaller_or_equal(age(A, B), sigma)) | (~fragile_position(A))) <=> (positional_advantage(A, B) | (~smaller_or_equal(age(A, B), sigma)) | (~fragile_position(A))))),
% 0.14/0.47 inference(bind,[status(th)],[])).
% 0.14/0.47 tff(70,plain,
% 0.14/0.47 (![B: $i, A: $i] : (positional_advantage(A, B) | (~smaller_or_equal(age(A, B), sigma)) | (~fragile_position(A))) <=> ![B: $i, A: $i] : (positional_advantage(A, B) | (~smaller_or_equal(age(A, B), sigma)) | (~fragile_position(A)))),
% 0.14/0.47 inference(quant_intro,[status(thm)],[69])).
% 0.14/0.47 tff(71,plain,
% 0.14/0.47 (![B: $i, A: $i] : (positional_advantage(A, B) | (~smaller_or_equal(age(A, B), sigma)) | (~fragile_position(A))) <=> ![B: $i, A: $i] : (positional_advantage(A, B) | (~smaller_or_equal(age(A, B), sigma)) | (~fragile_position(A)))),
% 0.14/0.47 inference(rewrite,[status(thm)],[])).
% 0.14/0.47 tff(72,plain,
% 0.14/0.47 (^[B: $i, A: $i] : rewrite((((~fragile_position(A)) | (~smaller_or_equal(age(A, B), sigma))) | positional_advantage(A, B)) <=> (positional_advantage(A, B) | (~smaller_or_equal(age(A, B), sigma)) | (~fragile_position(A))))),
% 0.14/0.47 inference(bind,[status(th)],[])).
% 0.14/0.47 tff(73,plain,
% 0.14/0.47 (![B: $i, A: $i] : (((~fragile_position(A)) | (~smaller_or_equal(age(A, B), sigma))) | positional_advantage(A, B)) <=> ![B: $i, A: $i] : (positional_advantage(A, B) | (~smaller_or_equal(age(A, B), sigma)) | (~fragile_position(A)))),
% 0.14/0.47 inference(quant_intro,[status(thm)],[72])).
% 0.14/0.47 tff(74,axiom,(![B: $i, A: $i] : (((~fragile_position(A)) | (~smaller_or_equal(age(A, B), sigma))) | positional_advantage(A, B))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','definition_3_50')).
% 0.14/0.47 tff(75,plain,
% 0.14/0.47 (![B: $i, A: $i] : (positional_advantage(A, B) | (~smaller_or_equal(age(A, B), sigma)) | (~fragile_position(A)))),
% 0.14/0.47 inference(modus_ponens,[status(thm)],[74, 73])).
% 0.14/0.47 tff(76,plain,
% 0.14/0.47 (![B: $i, A: $i] : (positional_advantage(A, B) | (~smaller_or_equal(age(A, B), sigma)) | (~fragile_position(A)))),
% 0.14/0.47 inference(modus_ponens,[status(thm)],[75, 71])).
% 0.14/0.47 tff(77,plain,(
% 0.14/0.47 ![B: $i, A: $i] : (positional_advantage(A, B) | (~smaller_or_equal(age(A, B), sigma)) | (~fragile_position(A)))),
% 0.14/0.47 inference(skolemize,[status(sab)],[76])).
% 0.14/0.47 tff(78,plain,
% 0.14/0.47 (![B: $i, A: $i] : (positional_advantage(A, B) | (~smaller_or_equal(age(A, B), sigma)) | (~fragile_position(A)))),
% 0.14/0.47 inference(modus_ponens,[status(thm)],[77, 70])).
% 0.14/0.47 tff(79,plain,
% 0.14/0.47 (((~![B: $i, A: $i] : (positional_advantage(A, B) | (~smaller_or_equal(age(A, B), sigma)) | (~fragile_position(A)))) | (positional_advantage(sk2, sk3) | (~smaller_or_equal(age(sk2, sk3), sigma)) | (~fragile_position(sk2)))) <=> ((~![B: $i, A: $i] : (positional_advantage(A, B) | (~smaller_or_equal(age(A, B), sigma)) | (~fragile_position(A)))) | positional_advantage(sk2, sk3) | (~smaller_or_equal(age(sk2, sk3), sigma)) | (~fragile_position(sk2)))),
% 0.14/0.47 inference(rewrite,[status(thm)],[])).
% 0.14/0.47 tff(80,plain,
% 0.14/0.47 ((~![B: $i, A: $i] : (positional_advantage(A, B) | (~smaller_or_equal(age(A, B), sigma)) | (~fragile_position(A)))) | (positional_advantage(sk2, sk3) | (~smaller_or_equal(age(sk2, sk3), sigma)) | (~fragile_position(sk2)))),
% 0.14/0.47 inference(quant_inst,[status(thm)],[])).
% 0.14/0.47 tff(81,plain,
% 0.14/0.47 ((~![B: $i, A: $i] : (positional_advantage(A, B) | (~smaller_or_equal(age(A, B), sigma)) | (~fragile_position(A)))) | positional_advantage(sk2, sk3) | (~smaller_or_equal(age(sk2, sk3), sigma)) | (~fragile_position(sk2))),
% 0.14/0.47 inference(modus_ponens,[status(thm)],[80, 79])).
% 0.14/0.47 tff(82,plain,
% 0.14/0.47 (positional_advantage(sk2, sk3) | (~smaller_or_equal(age(sk2, sk3), sigma))),
% 0.14/0.47 inference(unit_resolution,[status(thm)],[81, 78, 68])).
% 0.14/0.47 tff(83,plain,
% 0.14/0.47 (positional_advantage(sk2, sk3)),
% 0.14/0.47 inference(unit_resolution,[status(thm)],[82, 65])).
% 0.14/0.47 tff(84,plain,
% 0.14/0.47 (^[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))))),
% 0.14/0.47 inference(bind,[status(th)],[])).
% 0.14/0.47 tff(85,plain,
% 0.14/0.47 (![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)))),
% 0.24/0.47 inference(quant_intro,[status(thm)],[84])).
% 0.24/0.47 tff(86,plain,
% 0.24/0.47 (![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)))),
% 0.24/0.47 inference(rewrite,[status(thm)],[])).
% 0.24/0.47 tff(87,plain,
% 0.24/0.47 (^[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))))),
% 0.24/0.47 inference(bind,[status(th)],[])).
% 0.24/0.47 tff(88,plain,
% 0.24/0.47 (![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)))),
% 0.24/0.47 inference(quant_intro,[status(thm)],[87])).
% 0.24/0.47 tff(89,axiom,(![B: $i, A: $i] : (((~organization(A)) | (~(age(A, B) = zero))) | is_aligned(A, B))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','assumption_13_47')).
% 0.24/0.47 tff(90,plain,
% 0.24/0.47 (![B: $i, A: $i] : ((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = zero)))),
% 0.24/0.47 inference(modus_ponens,[status(thm)],[89, 88])).
% 0.24/0.47 tff(91,plain,
% 0.24/0.47 (![B: $i, A: $i] : ((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = zero)))),
% 0.24/0.47 inference(modus_ponens,[status(thm)],[90, 86])).
% 0.24/0.47 tff(92,plain,(
% 0.24/0.47 ![B: $i, A: $i] : ((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = zero)))),
% 0.24/0.47 inference(skolemize,[status(sab)],[91])).
% 0.24/0.47 tff(93,plain,
% 0.24/0.47 (![B: $i, A: $i] : ((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = zero)))),
% 0.24/0.47 inference(modus_ponens,[status(thm)],[92, 85])).
% 0.24/0.47 tff(94,plain,
% 0.24/0.47 (((~![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)))),
% 0.24/0.47 inference(rewrite,[status(thm)],[])).
% 0.24/0.47 tff(95,plain,
% 0.24/0.47 ((~![B: $i, A: $i] : ((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = zero)))) | ((~organization(sk2)) | is_aligned(sk2, sk3) | (~(age(sk2, sk3) = zero)))),
% 0.24/0.47 inference(quant_inst,[status(thm)],[])).
% 0.24/0.47 tff(96,plain,
% 0.24/0.47 ((~![B: $i, A: $i] : ((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = zero)))) | (~organization(sk2)) | is_aligned(sk2, sk3) | (~(age(sk2, sk3) = zero))),
% 0.24/0.47 inference(modus_ponens,[status(thm)],[95, 94])).
% 0.24/0.47 tff(97,plain,
% 0.24/0.47 (is_aligned(sk2, sk3)),
% 0.24/0.47 inference(unit_resolution,[status(thm)],[96, 93, 7, 37])).
% 0.24/0.47 tff(98,plain,
% 0.24/0.47 (^[B: $i, A: $i] : refl((has_immunity(A, B) | (~organization(A)) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = low) | (~is_aligned(A, B))) <=> (has_immunity(A, B) | (~organization(A)) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = low) | (~is_aligned(A, B))))),
% 0.24/0.47 inference(bind,[status(th)],[])).
% 0.24/0.47 tff(99,plain,
% 0.24/0.47 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = low) | (~is_aligned(A, B))) <=> ![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = low) | (~is_aligned(A, B)))),
% 0.24/0.47 inference(quant_intro,[status(thm)],[98])).
% 0.24/0.47 tff(100,plain,
% 0.24/0.47 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = low) | (~is_aligned(A, B))) <=> ![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = low) | (~is_aligned(A, B)))),
% 0.24/0.47 inference(rewrite,[status(thm)],[])).
% 0.24/0.47 tff(101,plain,
% 0.24/0.47 (^[B: $i, A: $i] : trans(monotonicity(trans(monotonicity(rewrite((((~organization(A)) | has_immunity(A, B)) | (~is_aligned(A, B))) <=> (has_immunity(A, B) | (~organization(A)) | (~is_aligned(A, B)))), (((((~organization(A)) | has_immunity(A, B)) | (~is_aligned(A, B))) | (~positional_advantage(A, B))) <=> ((has_immunity(A, B) | (~organization(A)) | (~is_aligned(A, B))) | (~positional_advantage(A, B))))), rewrite(((has_immunity(A, B) | (~organization(A)) | (~is_aligned(A, B))) | (~positional_advantage(A, B))) <=> (has_immunity(A, B) | (~organization(A)) | (~positional_advantage(A, B)) | (~is_aligned(A, B)))), (((((~organization(A)) | has_immunity(A, B)) | (~is_aligned(A, B))) | (~positional_advantage(A, B))) <=> (has_immunity(A, B) | (~organization(A)) | (~positional_advantage(A, B)) | (~is_aligned(A, B))))), ((((((~organization(A)) | has_immunity(A, B)) | (~is_aligned(A, B))) | (~positional_advantage(A, B))) | (hazard_of_mortality(A, B) = low)) <=> ((has_immunity(A, B) | (~organization(A)) | (~positional_advantage(A, B)) | (~is_aligned(A, B))) | (hazard_of_mortality(A, B) = low)))), rewrite(((has_immunity(A, B) | (~organization(A)) | (~positional_advantage(A, B)) | (~is_aligned(A, B))) | (hazard_of_mortality(A, B) = low)) <=> (has_immunity(A, B) | (~organization(A)) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = low) | (~is_aligned(A, B)))), ((((((~organization(A)) | has_immunity(A, B)) | (~is_aligned(A, B))) | (~positional_advantage(A, B))) | (hazard_of_mortality(A, B) = low)) <=> (has_immunity(A, B) | (~organization(A)) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = low) | (~is_aligned(A, B)))))),
% 0.24/0.47 inference(bind,[status(th)],[])).
% 0.24/0.47 tff(102,plain,
% 0.24/0.47 (![B: $i, A: $i] : (((((~organization(A)) | has_immunity(A, B)) | (~is_aligned(A, B))) | (~positional_advantage(A, B))) | (hazard_of_mortality(A, B) = low)) <=> ![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = low) | (~is_aligned(A, B)))),
% 0.24/0.47 inference(quant_intro,[status(thm)],[101])).
% 0.24/0.47 tff(103,axiom,(![B: $i, A: $i] : (((((~organization(A)) | has_immunity(A, B)) | (~is_aligned(A, B))) | (~positional_advantage(A, B))) | (hazard_of_mortality(A, B) = low))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','assumption_17_57')).
% 0.24/0.47 tff(104,plain,
% 0.24/0.47 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = low) | (~is_aligned(A, B)))),
% 0.24/0.47 inference(modus_ponens,[status(thm)],[103, 102])).
% 0.24/0.47 tff(105,plain,
% 0.24/0.47 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = low) | (~is_aligned(A, B)))),
% 0.24/0.47 inference(modus_ponens,[status(thm)],[104, 100])).
% 0.24/0.47 tff(106,plain,(
% 0.24/0.47 ![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = low) | (~is_aligned(A, B)))),
% 0.24/0.47 inference(skolemize,[status(sab)],[105])).
% 0.24/0.47 tff(107,plain,
% 0.24/0.47 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = low) | (~is_aligned(A, B)))),
% 0.24/0.47 inference(modus_ponens,[status(thm)],[106, 99])).
% 0.24/0.47 tff(108,plain,
% 0.24/0.47 (((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = low) | (~is_aligned(A, B)))) | ((~organization(sk2)) | has_immunity(sk2, sk3) | (~is_aligned(sk2, sk3)) | (~positional_advantage(sk2, sk3)) | (hazard_of_mortality(sk2, sk3) = low))) <=> ((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = low) | (~is_aligned(A, B)))) | (~organization(sk2)) | has_immunity(sk2, sk3) | (~is_aligned(sk2, sk3)) | (~positional_advantage(sk2, sk3)) | (hazard_of_mortality(sk2, sk3) = low))),
% 0.24/0.48 inference(rewrite,[status(thm)],[])).
% 0.24/0.48 tff(109,plain,
% 0.24/0.48 ((has_immunity(sk2, sk3) | (~organization(sk2)) | (~positional_advantage(sk2, sk3)) | (hazard_of_mortality(sk2, sk3) = low) | (~is_aligned(sk2, sk3))) <=> ((~organization(sk2)) | has_immunity(sk2, sk3) | (~is_aligned(sk2, sk3)) | (~positional_advantage(sk2, sk3)) | (hazard_of_mortality(sk2, sk3) = low))),
% 0.24/0.48 inference(rewrite,[status(thm)],[])).
% 0.24/0.48 tff(110,plain,
% 0.24/0.48 (((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = low) | (~is_aligned(A, B)))) | (has_immunity(sk2, sk3) | (~organization(sk2)) | (~positional_advantage(sk2, sk3)) | (hazard_of_mortality(sk2, sk3) = low) | (~is_aligned(sk2, sk3)))) <=> ((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = low) | (~is_aligned(A, B)))) | ((~organization(sk2)) | has_immunity(sk2, sk3) | (~is_aligned(sk2, sk3)) | (~positional_advantage(sk2, sk3)) | (hazard_of_mortality(sk2, sk3) = low)))),
% 0.24/0.48 inference(monotonicity,[status(thm)],[109])).
% 0.24/0.48 tff(111,plain,
% 0.24/0.48 (((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = low) | (~is_aligned(A, B)))) | (has_immunity(sk2, sk3) | (~organization(sk2)) | (~positional_advantage(sk2, sk3)) | (hazard_of_mortality(sk2, sk3) = low) | (~is_aligned(sk2, sk3)))) <=> ((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = low) | (~is_aligned(A, B)))) | (~organization(sk2)) | has_immunity(sk2, sk3) | (~is_aligned(sk2, sk3)) | (~positional_advantage(sk2, sk3)) | (hazard_of_mortality(sk2, sk3) = low))),
% 0.24/0.48 inference(transitivity,[status(thm)],[110, 108])).
% 0.24/0.48 tff(112,plain,
% 0.24/0.48 ((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = low) | (~is_aligned(A, B)))) | (has_immunity(sk2, sk3) | (~organization(sk2)) | (~positional_advantage(sk2, sk3)) | (hazard_of_mortality(sk2, sk3) = low) | (~is_aligned(sk2, sk3)))),
% 0.24/0.48 inference(quant_inst,[status(thm)],[])).
% 0.24/0.48 tff(113,plain,
% 0.24/0.48 ((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = low) | (~is_aligned(A, B)))) | (~organization(sk2)) | has_immunity(sk2, sk3) | (~is_aligned(sk2, sk3)) | (~positional_advantage(sk2, sk3)) | (hazard_of_mortality(sk2, sk3) = low)),
% 0.24/0.48 inference(modus_ponens,[status(thm)],[112, 111])).
% 0.24/0.48 tff(114,plain,
% 0.24/0.48 (has_immunity(sk2, sk3) | (~positional_advantage(sk2, sk3)) | (hazard_of_mortality(sk2, sk3) = low)),
% 0.24/0.48 inference(unit_resolution,[status(thm)],[113, 107, 7, 97])).
% 0.24/0.48 tff(115,plain,
% 0.24/0.48 (has_immunity(sk2, sk3) | (hazard_of_mortality(sk2, sk3) = low)),
% 0.24/0.48 inference(unit_resolution,[status(thm)],[114, 83])).
% 0.24/0.48 tff(116,plain,
% 0.24/0.48 (hazard_of_mortality(sk2, sk3) = low),
% 0.24/0.48 inference(unit_resolution,[status(thm)],[115, 34])).
% 0.24/0.48 tff(117,plain,
% 0.24/0.48 ((hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3)) <=> (hazard_of_mortality(sk2, sk4) = low)),
% 0.24/0.48 inference(monotonicity,[status(thm)],[116])).
% 0.24/0.48 tff(118,plain,
% 0.24/0.48 ((~(hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3))) <=> (~(hazard_of_mortality(sk2, sk4) = low))),
% 0.24/0.48 inference(monotonicity,[status(thm)],[117])).
% 0.24/0.48 tff(119,assumption,(~greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4))), introduced(assumption)).
% 0.24/0.48 tff(120,assumption,(hazard_of_mortality(sk2, sk4) = very_low), introduced(assumption)).
% 0.24/0.48 tff(121,plain,
% 0.24/0.48 (very_low = hazard_of_mortality(sk2, sk4)),
% 0.24/0.48 inference(symmetry,[status(thm)],[120])).
% 0.24/0.48 tff(122,plain,
% 0.24/0.48 (greater(age(sk2, sk5), sigma) <=> greater(age(sk2, sk5), sigma)),
% 0.24/0.48 inference(rewrite,[status(thm)],[])).
% 0.24/0.48 tff(123,axiom,(greater(age(sk2, sk5), sigma)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','theorem_7_72')).
% 0.24/0.48 tff(124,plain,
% 0.24/0.48 (greater(age(sk2, sk5), sigma)),
% 0.24/0.48 inference(modus_ponens,[status(thm)],[123, 122])).
% 0.24/0.48 tff(125,plain,
% 0.24/0.48 (^[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))))),
% 0.24/0.48 inference(bind,[status(th)],[])).
% 0.24/0.48 tff(126,plain,
% 0.24/0.48 (![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)))),
% 0.24/0.48 inference(quant_intro,[status(thm)],[125])).
% 0.24/0.48 tff(127,plain,
% 0.24/0.48 (![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)))),
% 0.24/0.48 inference(rewrite,[status(thm)],[])).
% 0.24/0.48 tff(128,plain,
% 0.24/0.48 (^[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)))))),
% 0.24/0.48 inference(bind,[status(th)],[])).
% 0.24/0.48 tff(129,plain,
% 0.24/0.48 (![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)))),
% 0.24/0.48 inference(quant_intro,[status(thm)],[128])).
% 0.24/0.48 tff(130,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/sandbox/benchmark/theBenchmark.p','assumption_15_48')).
% 0.24/0.48 tff(131,plain,
% 0.24/0.48 (![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = zero)))),
% 0.24/0.48 inference(modus_ponens,[status(thm)],[130, 129])).
% 0.24/0.48 tff(132,plain,
% 0.24/0.48 (![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = zero)))),
% 0.24/0.48 inference(modus_ponens,[status(thm)],[131, 127])).
% 0.24/0.48 tff(133,plain,(
% 0.24/0.48 ![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = zero)))),
% 0.24/0.48 inference(skolemize,[status(sab)],[132])).
% 0.24/0.48 tff(134,plain,
% 0.24/0.48 (![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = zero)))),
% 0.24/0.48 inference(modus_ponens,[status(thm)],[133, 126])).
% 0.24/0.48 tff(135,plain,
% 0.24/0.48 (((~![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = zero)))) | ((~greater(age(sk2, sk5), sigma)) | (~organization(sk2)) | (~(age(sk2, sk3) = zero)) | 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)))) | (~greater(age(sk2, sk5), sigma)) | (~organization(sk2)) | (~(age(sk2, sk3) = zero)) | dissimilar(sk2, sk3, sk5))),
% 0.24/0.48 inference(rewrite,[status(thm)],[])).
% 0.24/0.48 tff(136,plain,
% 0.24/0.48 ((dissimilar(sk2, sk3, sk5) | (~organization(sk2)) | (~greater(age(sk2, sk5), sigma)) | (~(age(sk2, sk3) = zero))) <=> ((~greater(age(sk2, sk5), sigma)) | (~organization(sk2)) | (~(age(sk2, sk3) = zero)) | dissimilar(sk2, sk3, sk5))),
% 0.24/0.48 inference(rewrite,[status(thm)],[])).
% 0.24/0.48 tff(137,plain,
% 0.24/0.48 (((~![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)))) | ((~greater(age(sk2, sk5), sigma)) | (~organization(sk2)) | (~(age(sk2, sk3) = zero)) | dissimilar(sk2, sk3, sk5)))),
% 0.24/0.48 inference(monotonicity,[status(thm)],[136])).
% 0.24/0.48 tff(138,plain,
% 0.24/0.48 (((~![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)))) | (~greater(age(sk2, sk5), sigma)) | (~organization(sk2)) | (~(age(sk2, sk3) = zero)) | dissimilar(sk2, sk3, sk5))),
% 0.24/0.48 inference(transitivity,[status(thm)],[137, 135])).
% 0.24/0.48 tff(139,plain,
% 0.24/0.48 ((~![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)))),
% 0.24/0.48 inference(quant_inst,[status(thm)],[])).
% 0.24/0.48 tff(140,plain,
% 0.24/0.48 ((~![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = zero)))) | (~greater(age(sk2, sk5), sigma)) | (~organization(sk2)) | (~(age(sk2, sk3) = zero)) | dissimilar(sk2, sk3, sk5)),
% 0.24/0.48 inference(modus_ponens,[status(thm)],[139, 138])).
% 0.24/0.48 tff(141,plain,
% 0.24/0.48 (dissimilar(sk2, sk3, sk5)),
% 0.24/0.48 inference(unit_resolution,[status(thm)],[140, 134, 7, 37, 124])).
% 0.24/0.48 tff(142,plain,
% 0.24/0.48 (^[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))))),
% 0.24/0.48 inference(bind,[status(th)],[])).
% 0.24/0.48 tff(143,plain,
% 0.24/0.48 (![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)))),
% 0.24/0.48 inference(quant_intro,[status(thm)],[142])).
% 0.24/0.48 tff(144,plain,
% 0.24/0.48 (![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)))),
% 0.24/0.48 inference(rewrite,[status(thm)],[])).
% 0.24/0.48 tff(145,plain,
% 0.24/0.48 (^[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)))))),
% 0.24/0.48 inference(bind,[status(th)],[])).
% 0.24/0.48 tff(146,plain,
% 0.24/0.48 (![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)))),
% 0.24/0.48 inference(quant_intro,[status(thm)],[145])).
% 0.24/0.48 tff(147,axiom,(![B: $i, A: $i, C: $i] : (((~dissimilar(A, B, C)) | (~is_aligned(A, B))) | (~is_aligned(A, C)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','definition_2_42')).
% 0.24/0.48 tff(148,plain,
% 0.24/0.48 (![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~is_aligned(A, C)) | (~is_aligned(A, B)))),
% 0.24/0.48 inference(modus_ponens,[status(thm)],[147, 146])).
% 0.24/0.48 tff(149,plain,
% 0.24/0.48 (![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~is_aligned(A, C)) | (~is_aligned(A, B)))),
% 0.24/0.48 inference(modus_ponens,[status(thm)],[148, 144])).
% 0.24/0.48 tff(150,plain,(
% 0.24/0.48 ![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~is_aligned(A, C)) | (~is_aligned(A, B)))),
% 0.24/0.48 inference(skolemize,[status(sab)],[149])).
% 0.24/0.48 tff(151,plain,
% 0.24/0.48 (![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~is_aligned(A, C)) | (~is_aligned(A, B)))),
% 0.24/0.48 inference(modus_ponens,[status(thm)],[150, 143])).
% 0.24/0.48 tff(152,plain,
% 0.24/0.48 (((~![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)))),
% 0.24/0.48 inference(rewrite,[status(thm)],[])).
% 0.24/0.48 tff(153,plain,
% 0.24/0.48 (((~dissimilar(sk2, sk3, sk5)) | (~is_aligned(sk2, sk5)) | (~is_aligned(sk2, sk3))) <=> ((~is_aligned(sk2, sk3)) | (~is_aligned(sk2, sk5)) | (~dissimilar(sk2, sk3, sk5)))),
% 0.24/0.48 inference(rewrite,[status(thm)],[])).
% 0.24/0.48 tff(154,plain,
% 0.24/0.48 (((~![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))))),
% 0.24/0.48 inference(monotonicity,[status(thm)],[153])).
% 0.24/0.48 tff(155,plain,
% 0.24/0.48 (((~![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)))),
% 0.24/0.48 inference(transitivity,[status(thm)],[154, 152])).
% 0.24/0.48 tff(156,plain,
% 0.24/0.48 ((~![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)))),
% 0.24/0.48 inference(quant_inst,[status(thm)],[])).
% 0.24/0.48 tff(157,plain,
% 0.24/0.48 ((~![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))),
% 0.24/0.48 inference(modus_ponens,[status(thm)],[156, 155])).
% 0.24/0.48 tff(158,plain,
% 0.24/0.48 (~is_aligned(sk2, sk5)),
% 0.24/0.48 inference(unit_resolution,[status(thm)],[157, 151, 97, 141])).
% 0.24/0.48 tff(159,assumption,(has_immunity(sk2, sk5)), introduced(assumption)).
% 0.24/0.48 tff(160,plain,
% 0.24/0.48 (((~![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)))),
% 0.24/0.48 inference(rewrite,[status(thm)],[])).
% 0.24/0.48 tff(161,plain,
% 0.24/0.48 (((~has_immunity(sk2, sk5)) | has_endowment(sk2) | (~organization(sk2))) <=> (has_endowment(sk2) | (~organization(sk2)) | (~has_immunity(sk2, sk5)))),
% 0.24/0.48 inference(rewrite,[status(thm)],[])).
% 0.24/0.48 tff(162,plain,
% 0.24/0.48 (((~![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))))),
% 0.24/0.48 inference(monotonicity,[status(thm)],[161])).
% 0.24/0.48 tff(163,plain,
% 0.24/0.48 (((~![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)))),
% 0.24/0.49 inference(transitivity,[status(thm)],[162, 160])).
% 0.24/0.49 tff(164,plain,
% 0.24/0.49 ((~![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))) | ((~has_immunity(sk2, sk5)) | has_endowment(sk2) | (~organization(sk2)))),
% 0.24/0.49 inference(quant_inst,[status(thm)],[])).
% 0.24/0.49 tff(165,plain,
% 0.24/0.49 ((~![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))) | has_endowment(sk2) | (~organization(sk2)) | (~has_immunity(sk2, sk5))),
% 0.24/0.49 inference(modus_ponens,[status(thm)],[164, 163])).
% 0.24/0.49 tff(166,plain,
% 0.24/0.49 ($false),
% 0.24/0.49 inference(unit_resolution,[status(thm)],[165, 17, 7, 4, 159])).
% 0.24/0.49 tff(167,plain,(~has_immunity(sk2, sk5)), inference(lemma,lemma(discharge,[]))).
% 0.24/0.49 tff(168,plain,
% 0.24/0.49 (^[B: $i, A: $i] : refl(((~fragile_position(A)) | (~positional_advantage(A, B)) | (~greater(age(A, B), sigma))) <=> ((~fragile_position(A)) | (~positional_advantage(A, B)) | (~greater(age(A, B), sigma))))),
% 0.24/0.49 inference(bind,[status(th)],[])).
% 0.24/0.49 tff(169,plain,
% 0.24/0.49 (![B: $i, A: $i] : ((~fragile_position(A)) | (~positional_advantage(A, B)) | (~greater(age(A, B), sigma))) <=> ![B: $i, A: $i] : ((~fragile_position(A)) | (~positional_advantage(A, B)) | (~greater(age(A, B), sigma)))),
% 0.24/0.49 inference(quant_intro,[status(thm)],[168])).
% 0.24/0.49 tff(170,plain,
% 0.24/0.49 (![B: $i, A: $i] : ((~fragile_position(A)) | (~positional_advantage(A, B)) | (~greater(age(A, B), sigma))) <=> ![B: $i, A: $i] : ((~fragile_position(A)) | (~positional_advantage(A, B)) | (~greater(age(A, B), sigma)))),
% 0.24/0.49 inference(rewrite,[status(thm)],[])).
% 0.24/0.49 tff(171,plain,
% 0.24/0.49 (^[B: $i, A: $i] : rewrite((((~fragile_position(A)) | (~greater(age(A, B), sigma))) | (~positional_advantage(A, B))) <=> ((~fragile_position(A)) | (~positional_advantage(A, B)) | (~greater(age(A, B), sigma))))),
% 0.24/0.49 inference(bind,[status(th)],[])).
% 0.24/0.49 tff(172,plain,
% 0.24/0.49 (![B: $i, A: $i] : (((~fragile_position(A)) | (~greater(age(A, B), sigma))) | (~positional_advantage(A, B))) <=> ![B: $i, A: $i] : ((~fragile_position(A)) | (~positional_advantage(A, B)) | (~greater(age(A, B), sigma)))),
% 0.24/0.49 inference(quant_intro,[status(thm)],[171])).
% 0.24/0.49 tff(173,axiom,(![B: $i, A: $i] : (((~fragile_position(A)) | (~greater(age(A, B), sigma))) | (~positional_advantage(A, B)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','definition_3_51')).
% 0.24/0.49 tff(174,plain,
% 0.24/0.49 (![B: $i, A: $i] : ((~fragile_position(A)) | (~positional_advantage(A, B)) | (~greater(age(A, B), sigma)))),
% 0.24/0.49 inference(modus_ponens,[status(thm)],[173, 172])).
% 0.24/0.49 tff(175,plain,
% 0.24/0.49 (![B: $i, A: $i] : ((~fragile_position(A)) | (~positional_advantage(A, B)) | (~greater(age(A, B), sigma)))),
% 0.24/0.49 inference(modus_ponens,[status(thm)],[174, 170])).
% 0.24/0.49 tff(176,plain,(
% 0.24/0.49 ![B: $i, A: $i] : ((~fragile_position(A)) | (~positional_advantage(A, B)) | (~greater(age(A, B), sigma)))),
% 0.24/0.49 inference(skolemize,[status(sab)],[175])).
% 0.24/0.49 tff(177,plain,
% 0.24/0.49 (![B: $i, A: $i] : ((~fragile_position(A)) | (~positional_advantage(A, B)) | (~greater(age(A, B), sigma)))),
% 0.24/0.49 inference(modus_ponens,[status(thm)],[176, 169])).
% 0.24/0.49 tff(178,plain,
% 0.24/0.49 (((~![B: $i, A: $i] : ((~fragile_position(A)) | (~positional_advantage(A, B)) | (~greater(age(A, B), sigma)))) | ((~fragile_position(sk2)) | (~positional_advantage(sk2, sk5)) | (~greater(age(sk2, sk5), sigma)))) <=> ((~![B: $i, A: $i] : ((~fragile_position(A)) | (~positional_advantage(A, B)) | (~greater(age(A, B), sigma)))) | (~fragile_position(sk2)) | (~positional_advantage(sk2, sk5)) | (~greater(age(sk2, sk5), sigma)))),
% 0.24/0.49 inference(rewrite,[status(thm)],[])).
% 0.24/0.49 tff(179,plain,
% 0.24/0.49 ((~![B: $i, A: $i] : ((~fragile_position(A)) | (~positional_advantage(A, B)) | (~greater(age(A, B), sigma)))) | ((~fragile_position(sk2)) | (~positional_advantage(sk2, sk5)) | (~greater(age(sk2, sk5), sigma)))),
% 0.24/0.49 inference(quant_inst,[status(thm)],[])).
% 0.24/0.49 tff(180,plain,
% 0.24/0.49 ((~![B: $i, A: $i] : ((~fragile_position(A)) | (~positional_advantage(A, B)) | (~greater(age(A, B), sigma)))) | (~fragile_position(sk2)) | (~positional_advantage(sk2, sk5)) | (~greater(age(sk2, sk5), sigma))),
% 0.24/0.49 inference(modus_ponens,[status(thm)],[179, 178])).
% 0.24/0.49 tff(181,plain,
% 0.24/0.49 (~positional_advantage(sk2, sk5)),
% 0.24/0.49 inference(unit_resolution,[status(thm)],[180, 177, 68, 124])).
% 0.24/0.49 tff(182,plain,
% 0.24/0.49 (^[B: $i, A: $i] : refl((has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | is_aligned(A, B) | (hazard_of_mortality(A, B) = high)) <=> (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | is_aligned(A, B) | (hazard_of_mortality(A, B) = high)))),
% 0.24/0.49 inference(bind,[status(th)],[])).
% 0.24/0.49 tff(183,plain,
% 0.24/0.49 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | is_aligned(A, B) | (hazard_of_mortality(A, B) = high)) <=> ![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | is_aligned(A, B) | (hazard_of_mortality(A, B) = high))),
% 0.24/0.49 inference(quant_intro,[status(thm)],[182])).
% 0.24/0.49 tff(184,plain,
% 0.24/0.49 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | is_aligned(A, B) | (hazard_of_mortality(A, B) = high)) <=> ![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | is_aligned(A, B) | (hazard_of_mortality(A, B) = high))),
% 0.24/0.49 inference(rewrite,[status(thm)],[])).
% 0.24/0.49 tff(185,plain,
% 0.24/0.49 (^[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) = high)) <=> ((has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | is_aligned(A, B)) | (hazard_of_mortality(A, B) = high)))), rewrite(((has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | is_aligned(A, B)) | (hazard_of_mortality(A, B) = high)) <=> (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | is_aligned(A, B) | (hazard_of_mortality(A, B) = high))), ((((((~organization(A)) | has_immunity(A, B)) | is_aligned(A, B)) | positional_advantage(A, B)) | (hazard_of_mortality(A, B) = high)) <=> (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | is_aligned(A, B) | (hazard_of_mortality(A, B) = high))))),
% 0.24/0.49 inference(bind,[status(th)],[])).
% 0.24/0.49 tff(186,plain,
% 0.24/0.49 (![B: $i, A: $i] : (((((~organization(A)) | has_immunity(A, B)) | is_aligned(A, B)) | positional_advantage(A, B)) | (hazard_of_mortality(A, B) = high)) <=> ![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | is_aligned(A, B) | (hazard_of_mortality(A, B) = high))),
% 0.24/0.49 inference(quant_intro,[status(thm)],[185])).
% 0.24/0.49 tff(187,axiom,(![B: $i, A: $i] : (((((~organization(A)) | has_immunity(A, B)) | is_aligned(A, B)) | positional_advantage(A, B)) | (hazard_of_mortality(A, B) = high))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','assumption_17_60')).
% 0.24/0.49 tff(188,plain,
% 0.24/0.49 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | is_aligned(A, B) | (hazard_of_mortality(A, B) = high))),
% 0.24/0.49 inference(modus_ponens,[status(thm)],[187, 186])).
% 0.24/0.49 tff(189,plain,
% 0.24/0.49 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | is_aligned(A, B) | (hazard_of_mortality(A, B) = high))),
% 0.24/0.49 inference(modus_ponens,[status(thm)],[188, 184])).
% 0.24/0.49 tff(190,plain,(
% 0.24/0.49 ![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | is_aligned(A, B) | (hazard_of_mortality(A, B) = high))),
% 0.24/0.49 inference(skolemize,[status(sab)],[189])).
% 0.24/0.49 tff(191,plain,
% 0.24/0.49 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | is_aligned(A, B) | (hazard_of_mortality(A, B) = high))),
% 0.24/0.49 inference(modus_ponens,[status(thm)],[190, 183])).
% 0.24/0.49 tff(192,plain,
% 0.24/0.49 (((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | is_aligned(A, B) | (hazard_of_mortality(A, B) = high))) | ((~organization(sk2)) | positional_advantage(sk2, sk5) | is_aligned(sk2, sk5) | has_immunity(sk2, sk5) | (hazard_of_mortality(sk2, sk5) = high))) <=> ((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | is_aligned(A, B) | (hazard_of_mortality(A, B) = high))) | (~organization(sk2)) | positional_advantage(sk2, sk5) | is_aligned(sk2, sk5) | has_immunity(sk2, sk5) | (hazard_of_mortality(sk2, sk5) = high))),
% 0.24/0.49 inference(rewrite,[status(thm)],[])).
% 0.24/0.49 tff(193,plain,
% 0.24/0.49 ((has_immunity(sk2, sk5) | (~organization(sk2)) | positional_advantage(sk2, sk5) | is_aligned(sk2, sk5) | (hazard_of_mortality(sk2, sk5) = high)) <=> ((~organization(sk2)) | positional_advantage(sk2, sk5) | is_aligned(sk2, sk5) | has_immunity(sk2, sk5) | (hazard_of_mortality(sk2, sk5) = high))),
% 0.24/0.49 inference(rewrite,[status(thm)],[])).
% 0.24/0.49 tff(194,plain,
% 0.24/0.49 (((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | is_aligned(A, B) | (hazard_of_mortality(A, B) = high))) | (has_immunity(sk2, sk5) | (~organization(sk2)) | positional_advantage(sk2, sk5) | is_aligned(sk2, sk5) | (hazard_of_mortality(sk2, sk5) = high))) <=> ((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | is_aligned(A, B) | (hazard_of_mortality(A, B) = high))) | ((~organization(sk2)) | positional_advantage(sk2, sk5) | is_aligned(sk2, sk5) | has_immunity(sk2, sk5) | (hazard_of_mortality(sk2, sk5) = high)))),
% 0.24/0.49 inference(monotonicity,[status(thm)],[193])).
% 0.24/0.49 tff(195,plain,
% 0.24/0.49 (((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | is_aligned(A, B) | (hazard_of_mortality(A, B) = high))) | (has_immunity(sk2, sk5) | (~organization(sk2)) | positional_advantage(sk2, sk5) | is_aligned(sk2, sk5) | (hazard_of_mortality(sk2, sk5) = high))) <=> ((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | is_aligned(A, B) | (hazard_of_mortality(A, B) = high))) | (~organization(sk2)) | positional_advantage(sk2, sk5) | is_aligned(sk2, sk5) | has_immunity(sk2, sk5) | (hazard_of_mortality(sk2, sk5) = high))),
% 0.24/0.49 inference(transitivity,[status(thm)],[194, 192])).
% 0.24/0.49 tff(196,plain,
% 0.24/0.49 ((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | is_aligned(A, B) | (hazard_of_mortality(A, B) = high))) | (has_immunity(sk2, sk5) | (~organization(sk2)) | positional_advantage(sk2, sk5) | is_aligned(sk2, sk5) | (hazard_of_mortality(sk2, sk5) = high))),
% 0.24/0.49 inference(quant_inst,[status(thm)],[])).
% 0.24/0.49 tff(197,plain,
% 0.24/0.49 ((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | is_aligned(A, B) | (hazard_of_mortality(A, B) = high))) | (~organization(sk2)) | positional_advantage(sk2, sk5) | is_aligned(sk2, sk5) | has_immunity(sk2, sk5) | (hazard_of_mortality(sk2, sk5) = high)),
% 0.24/0.49 inference(modus_ponens,[status(thm)],[196, 195])).
% 0.24/0.49 tff(198,plain,
% 0.24/0.49 (is_aligned(sk2, sk5) | has_immunity(sk2, sk5) | (hazard_of_mortality(sk2, sk5) = high)),
% 0.24/0.49 inference(unit_resolution,[status(thm)],[197, 191, 7, 181])).
% 0.24/0.49 tff(199,plain,
% 0.24/0.49 (is_aligned(sk2, sk5) | (hazard_of_mortality(sk2, sk5) = high)),
% 0.24/0.49 inference(unit_resolution,[status(thm)],[198, 167])).
% 0.24/0.49 tff(200,plain,
% 0.24/0.49 (hazard_of_mortality(sk2, sk5) = high),
% 0.24/0.49 inference(unit_resolution,[status(thm)],[199, 158])).
% 0.24/0.49 tff(201,plain,
% 0.24/0.49 (high = hazard_of_mortality(sk2, sk5)),
% 0.24/0.49 inference(symmetry,[status(thm)],[200])).
% 0.24/0.49 tff(202,plain,
% 0.24/0.49 (greater(high, very_low) <=> greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4))),
% 0.24/0.49 inference(monotonicity,[status(thm)],[201, 121])).
% 0.24/0.49 tff(203,plain,
% 0.24/0.49 (greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4)) <=> greater(high, very_low)),
% 0.24/0.49 inference(symmetry,[status(thm)],[202])).
% 0.24/0.49 tff(204,plain,
% 0.24/0.49 ((~greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4))) <=> (~greater(high, very_low))),
% 0.24/0.49 inference(monotonicity,[status(thm)],[203])).
% 0.24/0.49 tff(205,plain,
% 0.24/0.49 (~greater(high, very_low)),
% 0.24/0.49 inference(modus_ponens,[status(thm)],[119, 204])).
% 0.24/0.49 tff(206,plain,
% 0.24/0.49 (greater(mod1, low) <=> greater(mod1, low)),
% 0.24/0.49 inference(rewrite,[status(thm)],[])).
% 0.24/0.49 tff(207,axiom,(greater(mod1, low)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','assumption_18b_62')).
% 0.24/0.49 tff(208,plain,
% 0.24/0.49 (greater(mod1, low)),
% 0.24/0.49 inference(modus_ponens,[status(thm)],[207, 206])).
% 0.24/0.49 tff(209,plain,
% 0.24/0.49 (greater(high, mod1) <=> greater(high, mod1)),
% 0.24/0.49 inference(rewrite,[status(thm)],[])).
% 0.24/0.49 tff(210,axiom,(greater(high, mod1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','assumption_18a_61')).
% 0.24/0.49 tff(211,plain,
% 0.24/0.49 (greater(high, mod1)),
% 0.24/0.49 inference(modus_ponens,[status(thm)],[210, 209])).
% 0.24/0.49 tff(212,plain,
% 0.24/0.49 (![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B))) <=> ![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))),
% 0.24/0.49 inference(rewrite,[status(thm)],[])).
% 0.24/0.49 tff(213,plain,
% 0.24/0.49 (![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B))) <=> ![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))),
% 0.24/0.49 inference(rewrite,[status(thm)],[])).
% 0.24/0.49 tff(214,plain,
% 0.24/0.49 (^[B: $i, A: $i, C: $i] : rewrite((((~greater(A, B)) | (~greater(B, C))) | greater(A, C)) <=> (greater(A, C) | (~greater(B, C)) | (~greater(A, B))))),
% 0.24/0.49 inference(bind,[status(th)],[])).
% 0.24/0.49 tff(215,plain,
% 0.24/0.49 (![B: $i, A: $i, C: $i] : (((~greater(A, B)) | (~greater(B, C))) | greater(A, C)) <=> ![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))),
% 0.24/0.49 inference(quant_intro,[status(thm)],[214])).
% 0.24/0.49 tff(216,axiom,(![B: $i, A: $i, C: $i] : (((~greater(A, B)) | (~greater(B, C))) | greater(A, C))), file('/export/starexec/sandbox/benchmark/Axioms/MGT001-0.ax','meaning_postulate_greater_transitive_10')).
% 0.24/0.49 tff(217,plain,
% 0.24/0.49 (![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))),
% 0.24/0.49 inference(modus_ponens,[status(thm)],[216, 215])).
% 0.24/0.49 tff(218,plain,
% 0.24/0.49 (![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))),
% 0.24/0.49 inference(modus_ponens,[status(thm)],[217, 213])).
% 0.24/0.49 tff(219,plain,(
% 0.24/0.49 ![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))),
% 0.24/0.49 inference(skolemize,[status(sab)],[218])).
% 0.24/0.49 tff(220,plain,
% 0.24/0.49 (![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))),
% 0.24/0.49 inference(modus_ponens,[status(thm)],[219, 212])).
% 0.24/0.49 tff(221,plain,
% 0.24/0.49 (((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(high, low) | (~greater(mod1, low)) | (~greater(high, mod1)))) <=> ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | greater(high, low) | (~greater(mod1, low)) | (~greater(high, mod1)))),
% 0.24/0.49 inference(rewrite,[status(thm)],[])).
% 0.24/0.49 tff(222,plain,
% 0.24/0.49 ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(high, low) | (~greater(mod1, low)) | (~greater(high, mod1)))),
% 0.24/0.49 inference(quant_inst,[status(thm)],[])).
% 0.24/0.49 tff(223,plain,
% 0.24/0.49 ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | greater(high, low) | (~greater(mod1, low)) | (~greater(high, mod1))),
% 0.24/0.49 inference(modus_ponens,[status(thm)],[222, 221])).
% 0.24/0.49 tff(224,plain,
% 0.24/0.49 (greater(high, low)),
% 0.24/0.49 inference(unit_resolution,[status(thm)],[223, 220, 211, 208])).
% 0.24/0.49 tff(225,plain,
% 0.24/0.49 (greater(low, very_low) <=> greater(low, very_low)),
% 0.24/0.49 inference(rewrite,[status(thm)],[])).
% 0.24/0.49 tff(226,axiom,(greater(low, very_low)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','assumption_18c_63')).
% 0.24/0.49 tff(227,plain,
% 0.24/0.49 (greater(low, very_low)),
% 0.24/0.49 inference(modus_ponens,[status(thm)],[226, 225])).
% 0.24/0.49 tff(228,plain,
% 0.24/0.49 (((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | ((~greater(low, very_low)) | greater(high, very_low) | (~greater(high, low)))) <=> ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (~greater(low, very_low)) | greater(high, very_low) | (~greater(high, low)))),
% 0.24/0.49 inference(rewrite,[status(thm)],[])).
% 0.24/0.49 tff(229,plain,
% 0.24/0.49 ((greater(high, very_low) | (~greater(low, very_low)) | (~greater(high, low))) <=> ((~greater(low, very_low)) | greater(high, very_low) | (~greater(high, low)))),
% 0.24/0.49 inference(rewrite,[status(thm)],[])).
% 0.24/0.49 tff(230,plain,
% 0.24/0.49 (((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(high, very_low) | (~greater(low, very_low)) | (~greater(high, low)))) <=> ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | ((~greater(low, very_low)) | greater(high, very_low) | (~greater(high, low))))),
% 0.24/0.49 inference(monotonicity,[status(thm)],[229])).
% 0.24/0.49 tff(231,plain,
% 0.24/0.49 (((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(high, very_low) | (~greater(low, very_low)) | (~greater(high, low)))) <=> ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (~greater(low, very_low)) | greater(high, very_low) | (~greater(high, low)))),
% 0.24/0.49 inference(transitivity,[status(thm)],[230, 228])).
% 0.24/0.49 tff(232,plain,
% 0.24/0.49 ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(high, very_low) | (~greater(low, very_low)) | (~greater(high, low)))),
% 0.24/0.49 inference(quant_inst,[status(thm)],[])).
% 0.24/0.49 tff(233,plain,
% 0.24/0.49 ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (~greater(low, very_low)) | greater(high, very_low) | (~greater(high, low))),
% 0.24/0.49 inference(modus_ponens,[status(thm)],[232, 231])).
% 0.24/0.49 tff(234,plain,
% 0.24/0.49 (greater(high, very_low)),
% 0.24/0.49 inference(unit_resolution,[status(thm)],[233, 220, 227, 224])).
% 0.24/0.49 tff(235,plain,
% 0.24/0.49 ($false),
% 0.24/0.49 inference(unit_resolution,[status(thm)],[234, 205])).
% 0.24/0.49 tff(236,plain,((~(hazard_of_mortality(sk2, sk4) = very_low)) | greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4))), inference(lemma,lemma(discharge,[]))).
% 0.24/0.49 tff(237,plain,
% 0.24/0.49 (~(hazard_of_mortality(sk2, sk4) = very_low)),
% 0.24/0.49 inference(unit_resolution,[status(thm)],[236, 119])).
% 0.24/0.49 tff(238,plain,
% 0.24/0.49 (^[B: $i, A: $i] : refl(((~has_immunity(A, B)) | (~organization(A)) | (hazard_of_mortality(A, B) = very_low)) <=> ((~has_immunity(A, B)) | (~organization(A)) | (hazard_of_mortality(A, B) = very_low)))),
% 0.24/0.49 inference(bind,[status(th)],[])).
% 0.24/0.49 tff(239,plain,
% 0.24/0.49 (![B: $i, A: $i] : ((~has_immunity(A, B)) | (~organization(A)) | (hazard_of_mortality(A, B) = very_low)) <=> ![B: $i, A: $i] : ((~has_immunity(A, B)) | (~organization(A)) | (hazard_of_mortality(A, B) = very_low))),
% 0.24/0.49 inference(quant_intro,[status(thm)],[238])).
% 0.24/0.49 tff(240,plain,
% 0.24/0.49 (![B: $i, A: $i] : ((~has_immunity(A, B)) | (~organization(A)) | (hazard_of_mortality(A, B) = very_low)) <=> ![B: $i, A: $i] : ((~has_immunity(A, B)) | (~organization(A)) | (hazard_of_mortality(A, B) = very_low))),
% 0.24/0.49 inference(rewrite,[status(thm)],[])).
% 0.24/0.49 tff(241,plain,
% 0.24/0.49 (^[B: $i, A: $i] : rewrite((((~organization(A)) | (~has_immunity(A, B))) | (hazard_of_mortality(A, B) = very_low)) <=> ((~has_immunity(A, B)) | (~organization(A)) | (hazard_of_mortality(A, B) = very_low)))),
% 0.24/0.49 inference(bind,[status(th)],[])).
% 0.24/0.49 tff(242,plain,
% 0.24/0.49 (![B: $i, A: $i] : (((~organization(A)) | (~has_immunity(A, B))) | (hazard_of_mortality(A, B) = very_low)) <=> ![B: $i, A: $i] : ((~has_immunity(A, B)) | (~organization(A)) | (hazard_of_mortality(A, B) = very_low))),
% 0.24/0.49 inference(quant_intro,[status(thm)],[241])).
% 0.24/0.49 tff(243,axiom,(![B: $i, A: $i] : (((~organization(A)) | (~has_immunity(A, B))) | (hazard_of_mortality(A, B) = very_low))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','assumption_17_56')).
% 0.24/0.49 tff(244,plain,
% 0.24/0.49 (![B: $i, A: $i] : ((~has_immunity(A, B)) | (~organization(A)) | (hazard_of_mortality(A, B) = very_low))),
% 0.24/0.49 inference(modus_ponens,[status(thm)],[243, 242])).
% 0.24/0.50 tff(245,plain,
% 0.24/0.50 (![B: $i, A: $i] : ((~has_immunity(A, B)) | (~organization(A)) | (hazard_of_mortality(A, B) = very_low))),
% 0.24/0.50 inference(modus_ponens,[status(thm)],[244, 240])).
% 0.24/0.50 tff(246,plain,(
% 0.24/0.50 ![B: $i, A: $i] : ((~has_immunity(A, B)) | (~organization(A)) | (hazard_of_mortality(A, B) = very_low))),
% 0.24/0.50 inference(skolemize,[status(sab)],[245])).
% 0.24/0.50 tff(247,plain,
% 0.24/0.50 (![B: $i, A: $i] : ((~has_immunity(A, B)) | (~organization(A)) | (hazard_of_mortality(A, B) = very_low))),
% 0.24/0.50 inference(modus_ponens,[status(thm)],[246, 239])).
% 0.24/0.50 tff(248,plain,
% 0.24/0.50 (((~![B: $i, A: $i] : ((~has_immunity(A, B)) | (~organization(A)) | (hazard_of_mortality(A, B) = very_low))) | ((~organization(sk2)) | (~has_immunity(sk2, sk4)) | (hazard_of_mortality(sk2, sk4) = very_low))) <=> ((~![B: $i, A: $i] : ((~has_immunity(A, B)) | (~organization(A)) | (hazard_of_mortality(A, B) = very_low))) | (~organization(sk2)) | (~has_immunity(sk2, sk4)) | (hazard_of_mortality(sk2, sk4) = very_low))),
% 0.24/0.50 inference(rewrite,[status(thm)],[])).
% 0.24/0.50 tff(249,plain,
% 0.24/0.50 (((~has_immunity(sk2, sk4)) | (~organization(sk2)) | (hazard_of_mortality(sk2, sk4) = very_low)) <=> ((~organization(sk2)) | (~has_immunity(sk2, sk4)) | (hazard_of_mortality(sk2, sk4) = very_low))),
% 0.24/0.50 inference(rewrite,[status(thm)],[])).
% 0.24/0.50 tff(250,plain,
% 0.24/0.50 (((~![B: $i, A: $i] : ((~has_immunity(A, B)) | (~organization(A)) | (hazard_of_mortality(A, B) = very_low))) | ((~has_immunity(sk2, sk4)) | (~organization(sk2)) | (hazard_of_mortality(sk2, sk4) = very_low))) <=> ((~![B: $i, A: $i] : ((~has_immunity(A, B)) | (~organization(A)) | (hazard_of_mortality(A, B) = very_low))) | ((~organization(sk2)) | (~has_immunity(sk2, sk4)) | (hazard_of_mortality(sk2, sk4) = very_low)))),
% 0.24/0.50 inference(monotonicity,[status(thm)],[249])).
% 0.24/0.50 tff(251,plain,
% 0.24/0.50 (((~![B: $i, A: $i] : ((~has_immunity(A, B)) | (~organization(A)) | (hazard_of_mortality(A, B) = very_low))) | ((~has_immunity(sk2, sk4)) | (~organization(sk2)) | (hazard_of_mortality(sk2, sk4) = very_low))) <=> ((~![B: $i, A: $i] : ((~has_immunity(A, B)) | (~organization(A)) | (hazard_of_mortality(A, B) = very_low))) | (~organization(sk2)) | (~has_immunity(sk2, sk4)) | (hazard_of_mortality(sk2, sk4) = very_low))),
% 0.24/0.50 inference(transitivity,[status(thm)],[250, 248])).
% 0.24/0.50 tff(252,plain,
% 0.24/0.50 ((~![B: $i, A: $i] : ((~has_immunity(A, B)) | (~organization(A)) | (hazard_of_mortality(A, B) = very_low))) | ((~has_immunity(sk2, sk4)) | (~organization(sk2)) | (hazard_of_mortality(sk2, sk4) = very_low))),
% 0.24/0.50 inference(quant_inst,[status(thm)],[])).
% 0.24/0.50 tff(253,plain,
% 0.24/0.50 ((~![B: $i, A: $i] : ((~has_immunity(A, B)) | (~organization(A)) | (hazard_of_mortality(A, B) = very_low))) | (~organization(sk2)) | (~has_immunity(sk2, sk4)) | (hazard_of_mortality(sk2, sk4) = very_low)),
% 0.24/0.50 inference(modus_ponens,[status(thm)],[252, 251])).
% 0.24/0.50 tff(254,plain,
% 0.24/0.50 ((~has_immunity(sk2, sk4)) | (hazard_of_mortality(sk2, sk4) = very_low)),
% 0.24/0.50 inference(unit_resolution,[status(thm)],[253, 247, 7])).
% 0.24/0.50 tff(255,plain,
% 0.24/0.50 (~has_immunity(sk2, sk4)),
% 0.24/0.50 inference(unit_resolution,[status(thm)],[254, 237])).
% 0.24/0.50 tff(256,assumption,(hazard_of_mortality(sk2, sk4) = mod1), introduced(assumption)).
% 0.24/0.50 tff(257,plain,
% 0.24/0.50 (mod1 = hazard_of_mortality(sk2, sk4)),
% 0.24/0.50 inference(symmetry,[status(thm)],[256])).
% 0.24/0.50 tff(258,plain,
% 0.24/0.50 (greater(high, mod1) <=> greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4))),
% 0.24/0.50 inference(monotonicity,[status(thm)],[201, 257])).
% 0.24/0.50 tff(259,plain,
% 0.24/0.50 (greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4)) <=> greater(high, mod1)),
% 0.24/0.50 inference(symmetry,[status(thm)],[258])).
% 0.24/0.50 tff(260,plain,
% 0.24/0.50 ((~greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4))) <=> (~greater(high, mod1))),
% 0.24/0.50 inference(monotonicity,[status(thm)],[259])).
% 0.24/0.50 tff(261,plain,
% 0.24/0.50 (~greater(high, mod1)),
% 0.24/0.50 inference(modus_ponens,[status(thm)],[119, 260])).
% 0.24/0.50 tff(262,plain,
% 0.24/0.50 ($false),
% 0.24/0.50 inference(unit_resolution,[status(thm)],[211, 261])).
% 0.24/0.50 tff(263,plain,((~(hazard_of_mortality(sk2, sk4) = mod1)) | greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4))), inference(lemma,lemma(discharge,[]))).
% 0.24/0.50 tff(264,plain,
% 0.24/0.50 (~(hazard_of_mortality(sk2, sk4) = mod1)),
% 0.24/0.50 inference(unit_resolution,[status(thm)],[263, 119])).
% 0.24/0.50 tff(265,assumption,(~(hazard_of_mortality(sk2, sk4) = low)), introduced(assumption)).
% 0.24/0.50 tff(266,assumption,(~has_immunity(sk2, sk4)), introduced(assumption)).
% 0.24/0.50 tff(267,assumption,(~(hazard_of_mortality(sk2, sk4) = mod1)), introduced(assumption)).
% 0.24/0.50 tff(268,plain,
% 0.24/0.50 (smaller_or_equal(age(sk2, sk4), sigma) <=> smaller_or_equal(age(sk2, sk4), sigma)),
% 0.24/0.50 inference(rewrite,[status(thm)],[])).
% 0.24/0.50 tff(269,axiom,(smaller_or_equal(age(sk2, sk4), sigma)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','theorem_7_71')).
% 0.24/0.50 tff(270,plain,
% 0.24/0.50 (smaller_or_equal(age(sk2, sk4), sigma)),
% 0.24/0.50 inference(modus_ponens,[status(thm)],[269, 268])).
% 0.24/0.50 tff(271,plain,
% 0.24/0.50 (((~![B: $i, A: $i] : (positional_advantage(A, B) | (~smaller_or_equal(age(A, B), sigma)) | (~fragile_position(A)))) | ((~smaller_or_equal(age(sk2, sk4), sigma)) | (~fragile_position(sk2)) | positional_advantage(sk2, sk4))) <=> ((~![B: $i, A: $i] : (positional_advantage(A, B) | (~smaller_or_equal(age(A, B), sigma)) | (~fragile_position(A)))) | (~smaller_or_equal(age(sk2, sk4), sigma)) | (~fragile_position(sk2)) | positional_advantage(sk2, sk4))),
% 0.24/0.50 inference(rewrite,[status(thm)],[])).
% 0.24/0.50 tff(272,plain,
% 0.24/0.50 ((positional_advantage(sk2, sk4) | (~smaller_or_equal(age(sk2, sk4), sigma)) | (~fragile_position(sk2))) <=> ((~smaller_or_equal(age(sk2, sk4), sigma)) | (~fragile_position(sk2)) | positional_advantage(sk2, sk4))),
% 0.24/0.50 inference(rewrite,[status(thm)],[])).
% 0.24/0.50 tff(273,plain,
% 0.24/0.50 (((~![B: $i, A: $i] : (positional_advantage(A, B) | (~smaller_or_equal(age(A, B), sigma)) | (~fragile_position(A)))) | (positional_advantage(sk2, sk4) | (~smaller_or_equal(age(sk2, sk4), sigma)) | (~fragile_position(sk2)))) <=> ((~![B: $i, A: $i] : (positional_advantage(A, B) | (~smaller_or_equal(age(A, B), sigma)) | (~fragile_position(A)))) | ((~smaller_or_equal(age(sk2, sk4), sigma)) | (~fragile_position(sk2)) | positional_advantage(sk2, sk4)))),
% 0.24/0.50 inference(monotonicity,[status(thm)],[272])).
% 0.24/0.50 tff(274,plain,
% 0.24/0.50 (((~![B: $i, A: $i] : (positional_advantage(A, B) | (~smaller_or_equal(age(A, B), sigma)) | (~fragile_position(A)))) | (positional_advantage(sk2, sk4) | (~smaller_or_equal(age(sk2, sk4), sigma)) | (~fragile_position(sk2)))) <=> ((~![B: $i, A: $i] : (positional_advantage(A, B) | (~smaller_or_equal(age(A, B), sigma)) | (~fragile_position(A)))) | (~smaller_or_equal(age(sk2, sk4), sigma)) | (~fragile_position(sk2)) | positional_advantage(sk2, sk4))),
% 0.24/0.50 inference(transitivity,[status(thm)],[273, 271])).
% 0.24/0.50 tff(275,plain,
% 0.24/0.50 ((~![B: $i, A: $i] : (positional_advantage(A, B) | (~smaller_or_equal(age(A, B), sigma)) | (~fragile_position(A)))) | (positional_advantage(sk2, sk4) | (~smaller_or_equal(age(sk2, sk4), sigma)) | (~fragile_position(sk2)))),
% 0.24/0.50 inference(quant_inst,[status(thm)],[])).
% 0.24/0.50 tff(276,plain,
% 0.24/0.50 ((~![B: $i, A: $i] : (positional_advantage(A, B) | (~smaller_or_equal(age(A, B), sigma)) | (~fragile_position(A)))) | (~smaller_or_equal(age(sk2, sk4), sigma)) | (~fragile_position(sk2)) | positional_advantage(sk2, sk4)),
% 0.24/0.50 inference(modus_ponens,[status(thm)],[275, 274])).
% 0.24/0.50 tff(277,plain,
% 0.24/0.50 (positional_advantage(sk2, sk4)),
% 0.24/0.50 inference(unit_resolution,[status(thm)],[276, 78, 68, 270])).
% 0.24/0.50 tff(278,plain,
% 0.24/0.50 (^[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)))),
% 0.24/0.50 inference(bind,[status(th)],[])).
% 0.24/0.50 tff(279,plain,
% 0.24/0.50 (![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))),
% 0.24/0.50 inference(quant_intro,[status(thm)],[278])).
% 0.24/0.50 tff(280,plain,
% 0.24/0.50 (![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))),
% 0.24/0.50 inference(rewrite,[status(thm)],[])).
% 0.24/0.50 tff(281,plain,
% 0.24/0.50 (^[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))))),
% 0.24/0.50 inference(bind,[status(th)],[])).
% 0.24/0.50 tff(282,plain,
% 0.24/0.50 (![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))),
% 0.24/0.50 inference(quant_intro,[status(thm)],[281])).
% 0.24/0.50 tff(283,axiom,(![B: $i, A: $i] : (((((~organization(A)) | has_immunity(A, B)) | is_aligned(A, B)) | (~positional_advantage(A, B))) | (hazard_of_mortality(A, B) = mod1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','assumption_17_58')).
% 0.24/0.50 tff(284,plain,
% 0.24/0.50 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = mod1))),
% 0.24/0.50 inference(modus_ponens,[status(thm)],[283, 282])).
% 0.24/0.50 tff(285,plain,
% 0.24/0.50 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = mod1))),
% 0.24/0.50 inference(modus_ponens,[status(thm)],[284, 280])).
% 0.24/0.50 tff(286,plain,(
% 0.24/0.50 ![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = mod1))),
% 0.24/0.50 inference(skolemize,[status(sab)],[285])).
% 0.24/0.50 tff(287,plain,
% 0.24/0.50 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = mod1))),
% 0.24/0.50 inference(modus_ponens,[status(thm)],[286, 279])).
% 0.24/0.50 tff(288,plain,
% 0.24/0.50 (((~![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)) | (~positional_advantage(sk2, sk4)) | is_aligned(sk2, sk4) | has_immunity(sk2, sk4) | (hazard_of_mortality(sk2, sk4) = 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)) | (~positional_advantage(sk2, sk4)) | is_aligned(sk2, sk4) | has_immunity(sk2, sk4) | (hazard_of_mortality(sk2, sk4) = mod1))),
% 0.24/0.50 inference(rewrite,[status(thm)],[])).
% 0.24/0.50 tff(289,plain,
% 0.24/0.50 ((has_immunity(sk2, sk4) | (~organization(sk2)) | is_aligned(sk2, sk4) | (~positional_advantage(sk2, sk4)) | (hazard_of_mortality(sk2, sk4) = mod1)) <=> ((~organization(sk2)) | (~positional_advantage(sk2, sk4)) | is_aligned(sk2, sk4) | has_immunity(sk2, sk4) | (hazard_of_mortality(sk2, sk4) = mod1))),
% 0.24/0.50 inference(rewrite,[status(thm)],[])).
% 0.24/0.50 tff(290,plain,
% 0.24/0.50 (((~![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, sk4) | (~organization(sk2)) | is_aligned(sk2, sk4) | (~positional_advantage(sk2, sk4)) | (hazard_of_mortality(sk2, sk4) = 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)) | (~positional_advantage(sk2, sk4)) | is_aligned(sk2, sk4) | has_immunity(sk2, sk4) | (hazard_of_mortality(sk2, sk4) = mod1)))),
% 0.24/0.50 inference(monotonicity,[status(thm)],[289])).
% 0.24/0.50 tff(291,plain,
% 0.24/0.50 (((~![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, sk4) | (~organization(sk2)) | is_aligned(sk2, sk4) | (~positional_advantage(sk2, sk4)) | (hazard_of_mortality(sk2, sk4) = 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)) | (~positional_advantage(sk2, sk4)) | is_aligned(sk2, sk4) | has_immunity(sk2, sk4) | (hazard_of_mortality(sk2, sk4) = mod1))),
% 0.24/0.50 inference(transitivity,[status(thm)],[290, 288])).
% 0.24/0.50 tff(292,plain,
% 0.24/0.50 ((~![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, sk4) | (~organization(sk2)) | is_aligned(sk2, sk4) | (~positional_advantage(sk2, sk4)) | (hazard_of_mortality(sk2, sk4) = mod1))),
% 0.24/0.50 inference(quant_inst,[status(thm)],[])).
% 0.24/0.50 tff(293,plain,
% 0.24/0.50 ((~![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)) | (~positional_advantage(sk2, sk4)) | is_aligned(sk2, sk4) | has_immunity(sk2, sk4) | (hazard_of_mortality(sk2, sk4) = mod1)),
% 0.24/0.50 inference(modus_ponens,[status(thm)],[292, 291])).
% 0.24/0.50 tff(294,plain,
% 0.24/0.50 (is_aligned(sk2, sk4) | has_immunity(sk2, sk4) | (hazard_of_mortality(sk2, sk4) = mod1)),
% 0.24/0.50 inference(unit_resolution,[status(thm)],[293, 287, 7, 277])).
% 0.24/0.50 tff(295,plain,
% 0.24/0.50 (is_aligned(sk2, sk4)),
% 0.24/0.50 inference(unit_resolution,[status(thm)],[294, 266, 267])).
% 0.24/0.50 tff(296,plain,
% 0.24/0.50 (((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = low) | (~is_aligned(A, B)))) | ((~organization(sk2)) | (~positional_advantage(sk2, sk4)) | has_immunity(sk2, sk4) | (hazard_of_mortality(sk2, sk4) = low) | (~is_aligned(sk2, sk4)))) <=> ((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = low) | (~is_aligned(A, B)))) | (~organization(sk2)) | (~positional_advantage(sk2, sk4)) | has_immunity(sk2, sk4) | (hazard_of_mortality(sk2, sk4) = low) | (~is_aligned(sk2, sk4)))),
% 0.24/0.50 inference(rewrite,[status(thm)],[])).
% 0.24/0.50 tff(297,plain,
% 0.24/0.50 ((has_immunity(sk2, sk4) | (~organization(sk2)) | (~positional_advantage(sk2, sk4)) | (hazard_of_mortality(sk2, sk4) = low) | (~is_aligned(sk2, sk4))) <=> ((~organization(sk2)) | (~positional_advantage(sk2, sk4)) | has_immunity(sk2, sk4) | (hazard_of_mortality(sk2, sk4) = low) | (~is_aligned(sk2, sk4)))),
% 0.24/0.50 inference(rewrite,[status(thm)],[])).
% 0.24/0.50 tff(298,plain,
% 0.24/0.50 (((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = low) | (~is_aligned(A, B)))) | (has_immunity(sk2, sk4) | (~organization(sk2)) | (~positional_advantage(sk2, sk4)) | (hazard_of_mortality(sk2, sk4) = low) | (~is_aligned(sk2, sk4)))) <=> ((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = low) | (~is_aligned(A, B)))) | ((~organization(sk2)) | (~positional_advantage(sk2, sk4)) | has_immunity(sk2, sk4) | (hazard_of_mortality(sk2, sk4) = low) | (~is_aligned(sk2, sk4))))),
% 0.24/0.51 inference(monotonicity,[status(thm)],[297])).
% 0.24/0.51 tff(299,plain,
% 0.24/0.51 (((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = low) | (~is_aligned(A, B)))) | (has_immunity(sk2, sk4) | (~organization(sk2)) | (~positional_advantage(sk2, sk4)) | (hazard_of_mortality(sk2, sk4) = low) | (~is_aligned(sk2, sk4)))) <=> ((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = low) | (~is_aligned(A, B)))) | (~organization(sk2)) | (~positional_advantage(sk2, sk4)) | has_immunity(sk2, sk4) | (hazard_of_mortality(sk2, sk4) = low) | (~is_aligned(sk2, sk4)))),
% 0.24/0.51 inference(transitivity,[status(thm)],[298, 296])).
% 0.24/0.51 tff(300,plain,
% 0.24/0.51 ((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = low) | (~is_aligned(A, B)))) | (has_immunity(sk2, sk4) | (~organization(sk2)) | (~positional_advantage(sk2, sk4)) | (hazard_of_mortality(sk2, sk4) = low) | (~is_aligned(sk2, sk4)))),
% 0.24/0.51 inference(quant_inst,[status(thm)],[])).
% 0.24/0.51 tff(301,plain,
% 0.24/0.51 ((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = low) | (~is_aligned(A, B)))) | (~organization(sk2)) | (~positional_advantage(sk2, sk4)) | has_immunity(sk2, sk4) | (hazard_of_mortality(sk2, sk4) = low) | (~is_aligned(sk2, sk4))),
% 0.24/0.51 inference(modus_ponens,[status(thm)],[300, 299])).
% 0.24/0.51 tff(302,plain,
% 0.24/0.51 (has_immunity(sk2, sk4) | (hazard_of_mortality(sk2, sk4) = low) | (~is_aligned(sk2, sk4))),
% 0.24/0.51 inference(unit_resolution,[status(thm)],[301, 107, 7, 277])).
% 0.24/0.51 tff(303,plain,
% 0.24/0.51 ($false),
% 0.24/0.51 inference(unit_resolution,[status(thm)],[302, 295, 266, 265])).
% 0.24/0.51 tff(304,plain,(has_immunity(sk2, sk4) | (hazard_of_mortality(sk2, sk4) = low) | (hazard_of_mortality(sk2, sk4) = mod1)), inference(lemma,lemma(discharge,[]))).
% 0.24/0.51 tff(305,plain,
% 0.24/0.51 (hazard_of_mortality(sk2, sk4) = low),
% 0.24/0.51 inference(unit_resolution,[status(thm)],[304, 264, 255])).
% 0.24/0.51 tff(306,plain,
% 0.24/0.51 (low = hazard_of_mortality(sk2, sk4)),
% 0.24/0.51 inference(symmetry,[status(thm)],[305])).
% 0.24/0.51 tff(307,plain,
% 0.24/0.51 (greater(high, low) <=> greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4))),
% 0.24/0.51 inference(monotonicity,[status(thm)],[201, 306])).
% 0.24/0.51 tff(308,plain,
% 0.24/0.51 (greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4)) <=> greater(high, low)),
% 0.24/0.51 inference(symmetry,[status(thm)],[307])).
% 0.24/0.51 tff(309,plain,
% 0.24/0.51 ((~greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4))) <=> (~greater(high, low))),
% 0.24/0.51 inference(monotonicity,[status(thm)],[308])).
% 0.24/0.51 tff(310,plain,
% 0.24/0.51 (~greater(high, low)),
% 0.24/0.51 inference(modus_ponens,[status(thm)],[119, 309])).
% 0.24/0.51 tff(311,plain,
% 0.24/0.51 ($false),
% 0.24/0.51 inference(unit_resolution,[status(thm)],[224, 310])).
% 0.24/0.51 tff(312,plain,(greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4))), inference(lemma,lemma(discharge,[]))).
% 0.24/0.51 tff(313,plain,
% 0.24/0.51 (((~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))))),
% 0.24/0.51 inference(rewrite,[status(thm)],[])).
% 0.24/0.51 tff(314,axiom,((~greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4))) | (~(hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','theorem_7_73')).
% 0.24/0.51 tff(315,plain,
% 0.24/0.51 ((~greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4))) | (~(hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3)))),
% 0.24/0.51 inference(modus_ponens,[status(thm)],[314, 313])).
% 0.24/0.51 tff(316,plain,
% 0.24/0.51 ((~greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4))) | (~(hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3)))),
% 0.24/0.51 inference(modus_ponens,[status(thm)],[315, 313])).
% 0.24/0.51 tff(317,plain,
% 0.24/0.51 ((~greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4))) | (~(hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3)))),
% 0.24/0.51 inference(modus_ponens,[status(thm)],[316, 313])).
% 0.24/0.51 tff(318,plain,
% 0.24/0.51 ((~greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4))) | (~(hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3)))),
% 0.24/0.51 inference(modus_ponens,[status(thm)],[317, 313])).
% 0.24/0.51 tff(319,plain,
% 0.24/0.51 ((~greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4))) | (~(hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3)))),
% 0.24/0.51 inference(modus_ponens,[status(thm)],[318, 313])).
% 0.24/0.51 tff(320,plain,
% 0.24/0.51 (~(hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3))),
% 0.24/0.51 inference(unit_resolution,[status(thm)],[319, 312])).
% 0.24/0.51 tff(321,plain,
% 0.24/0.51 (~(hazard_of_mortality(sk2, sk4) = low)),
% 0.24/0.51 inference(modus_ponens,[status(thm)],[320, 118])).
% 0.24/0.51 tff(322,plain,
% 0.24/0.51 (~is_aligned(sk2, sk4)),
% 0.24/0.51 inference(unit_resolution,[status(thm)],[302, 321, 25])).
% 0.24/0.51 tff(323,plain,
% 0.24/0.51 (^[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))))),
% 0.24/0.51 inference(bind,[status(th)],[])).
% 0.24/0.51 tff(324,plain,
% 0.24/0.51 (![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)))),
% 0.24/0.51 inference(quant_intro,[status(thm)],[323])).
% 0.24/0.51 tff(325,plain,
% 0.24/0.51 (![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)))),
% 0.24/0.51 inference(rewrite,[status(thm)],[])).
% 0.24/0.51 tff(326,plain,
% 0.24/0.51 (^[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)))))),
% 0.24/0.51 inference(bind,[status(th)],[])).
% 0.24/0.51 tff(327,plain,
% 0.24/0.51 (![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)))),
% 0.24/0.51 inference(quant_intro,[status(thm)],[326])).
% 0.24/0.51 tff(328,axiom,(![B: $i, A: $i, C: $i] : ((((~organization(A)) | (~is_aligned(A, B))) | is_aligned(A, C)) | dissimilar(A, B, C))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','definition_2_44')).
% 0.24/0.51 tff(329,plain,
% 0.24/0.51 (![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | is_aligned(A, C) | (~is_aligned(A, B)) | (~organization(A)))),
% 0.24/0.51 inference(modus_ponens,[status(thm)],[328, 327])).
% 0.24/0.51 tff(330,plain,
% 0.24/0.51 (![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | is_aligned(A, C) | (~is_aligned(A, B)) | (~organization(A)))),
% 0.24/0.51 inference(modus_ponens,[status(thm)],[329, 325])).
% 0.24/0.51 tff(331,plain,(
% 0.24/0.51 ![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | is_aligned(A, C) | (~is_aligned(A, B)) | (~organization(A)))),
% 0.24/0.51 inference(skolemize,[status(sab)],[330])).
% 0.24/0.51 tff(332,plain,
% 0.24/0.51 (![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | is_aligned(A, C) | (~is_aligned(A, B)) | (~organization(A)))),
% 0.24/0.51 inference(modus_ponens,[status(thm)],[331, 324])).
% 0.24/0.51 tff(333,plain,
% 0.24/0.51 (((~![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))),
% 0.24/0.51 inference(rewrite,[status(thm)],[])).
% 0.24/0.51 tff(334,plain,
% 0.24/0.51 ((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))),
% 0.24/0.51 inference(rewrite,[status(thm)],[])).
% 0.24/0.51 tff(335,plain,
% 0.24/0.51 (((~![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)))),
% 0.24/0.51 inference(monotonicity,[status(thm)],[334])).
% 0.24/0.51 tff(336,plain,
% 0.24/0.51 (((~![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))),
% 0.24/0.51 inference(transitivity,[status(thm)],[335, 333])).
% 0.24/0.51 tff(337,plain,
% 0.24/0.51 ((~![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)))),
% 0.24/0.51 inference(quant_inst,[status(thm)],[])).
% 0.24/0.51 tff(338,plain,
% 0.24/0.51 ((~![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)),
% 0.24/0.51 inference(modus_ponens,[status(thm)],[337, 336])).
% 0.24/0.51 tff(339,plain,
% 0.24/0.51 (is_aligned(sk2, sk4) | dissimilar(sk2, sk3, sk4)),
% 0.24/0.51 inference(unit_resolution,[status(thm)],[338, 332, 7, 97])).
% 0.24/0.51 tff(340,plain,
% 0.24/0.51 (dissimilar(sk2, sk3, sk4)),
% 0.24/0.51 inference(unit_resolution,[status(thm)],[339, 322])).
% 0.24/0.51 tff(341,plain,
% 0.24/0.51 (((~![B: $i, A: $i] : ((~fragile_position(A)) | (~positional_advantage(A, B)) | (~greater(age(A, B), sigma)))) | ((~fragile_position(sk2)) | (~positional_advantage(sk2, sk4)) | (~greater(age(sk2, sk4), sigma)))) <=> ((~![B: $i, A: $i] : ((~fragile_position(A)) | (~positional_advantage(A, B)) | (~greater(age(A, B), sigma)))) | (~fragile_position(sk2)) | (~positional_advantage(sk2, sk4)) | (~greater(age(sk2, sk4), sigma)))),
% 0.24/0.51 inference(rewrite,[status(thm)],[])).
% 0.24/0.51 tff(342,plain,
% 0.24/0.51 ((~![B: $i, A: $i] : ((~fragile_position(A)) | (~positional_advantage(A, B)) | (~greater(age(A, B), sigma)))) | ((~fragile_position(sk2)) | (~positional_advantage(sk2, sk4)) | (~greater(age(sk2, sk4), sigma)))),
% 0.24/0.51 inference(quant_inst,[status(thm)],[])).
% 0.24/0.51 tff(343,plain,
% 0.24/0.51 ((~![B: $i, A: $i] : ((~fragile_position(A)) | (~positional_advantage(A, B)) | (~greater(age(A, B), sigma)))) | (~fragile_position(sk2)) | (~positional_advantage(sk2, sk4)) | (~greater(age(sk2, sk4), sigma))),
% 0.24/0.51 inference(modus_ponens,[status(thm)],[342, 341])).
% 0.24/0.51 tff(344,plain,
% 0.24/0.51 ((~positional_advantage(sk2, sk4)) | (~greater(age(sk2, sk4), sigma))),
% 0.24/0.51 inference(unit_resolution,[status(thm)],[343, 177, 68])).
% 0.24/0.51 tff(345,plain,
% 0.24/0.51 (~greater(age(sk2, sk4), sigma)),
% 0.24/0.51 inference(unit_resolution,[status(thm)],[344, 277])).
% 0.24/0.51 tff(346,plain,
% 0.24/0.51 (^[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))))),
% 0.24/0.51 inference(bind,[status(th)],[])).
% 0.24/0.51 tff(347,plain,
% 0.24/0.51 (![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)))),
% 0.24/0.51 inference(quant_intro,[status(thm)],[346])).
% 0.24/0.51 tff(348,plain,
% 0.24/0.51 (![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)))),
% 0.24/0.51 inference(rewrite,[status(thm)],[])).
% 0.24/0.51 tff(349,plain,
% 0.24/0.51 (^[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)))))),
% 0.24/0.51 inference(bind,[status(th)],[])).
% 0.24/0.51 tff(350,plain,
% 0.24/0.51 (![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)))),
% 0.24/0.51 inference(quant_intro,[status(thm)],[349])).
% 0.24/0.51 tff(351,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/sandbox/benchmark/theBenchmark.p','assumption_15_49')).
% 0.24/0.51 tff(352,plain,
% 0.24/0.51 (![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = zero)))),
% 0.24/0.51 inference(modus_ponens,[status(thm)],[351, 350])).
% 0.24/0.51 tff(353,plain,
% 0.24/0.51 (![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = zero)))),
% 0.24/0.51 inference(modus_ponens,[status(thm)],[352, 348])).
% 0.24/0.51 tff(354,plain,(
% 0.24/0.51 ![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = zero)))),
% 0.24/0.51 inference(skolemize,[status(sab)],[353])).
% 0.24/0.51 tff(355,plain,
% 0.24/0.51 (![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = zero)))),
% 0.24/0.51 inference(modus_ponens,[status(thm)],[354, 347])).
% 0.24/0.51 tff(356,plain,
% 0.24/0.51 (((~![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)))),
% 0.24/0.51 inference(rewrite,[status(thm)],[])).
% 0.24/0.51 tff(357,plain,
% 0.24/0.51 (((~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)))),
% 0.24/0.51 inference(rewrite,[status(thm)],[])).
% 0.24/0.51 tff(358,plain,
% 0.24/0.51 (((~![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))))),
% 0.24/0.52 inference(monotonicity,[status(thm)],[357])).
% 0.24/0.52 tff(359,plain,
% 0.24/0.52 (((~![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)))),
% 0.24/0.52 inference(transitivity,[status(thm)],[358, 356])).
% 0.24/0.52 tff(360,plain,
% 0.24/0.52 ((~![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)))),
% 0.24/0.52 inference(quant_inst,[status(thm)],[])).
% 0.24/0.52 tff(361,plain,
% 0.24/0.52 ((~![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = zero)))) | (~organization(sk2)) | (~(age(sk2, sk3) = zero)) | greater(age(sk2, sk4), sigma) | (~dissimilar(sk2, sk3, sk4))),
% 0.24/0.52 inference(modus_ponens,[status(thm)],[360, 359])).
% 0.24/0.52 tff(362,plain,
% 0.24/0.52 ($false),
% 0.24/0.52 inference(unit_resolution,[status(thm)],[361, 355, 7, 37, 345, 340])).
% 0.24/0.52 % SZS output end Proof
% 0.24/0.52 % E exiting
%------------------------------------------------------------------------------