%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : MGT064-1 : 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 06:24:10 AM UTC 2026
% Result : Unsatisfiable 1.06s 1.36s
% Output : Proof 1.26s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : MGT064-1 : TPTP v9.3.0. Released v2.4.0.
% 0.00/0.04 % Command : run_E %s %d THM
% 0.15/0.41 % Computer : n014.cluster.edu
% 0.15/0.41 % Model : x86_64 x86_64
% 0.15/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.41 % Memory : 8046.5625MB
% 0.15/0.41 % OS : Linux 6.8.0-71-generic
% 0.15/0.41 % CPULimit : 300
% 0.15/0.41 % WCLimit : 300
% 0.15/0.41 % DateTime : Mon Sep 7 13:44:58 UTC 2026
% 0.15/0.41 % CPUTime :
% 1.06/1.36 % SZS status Unsatisfiable
% 1.06/1.36 % SZS output start Proof
% 1.06/1.36 tff(greater_type, type, (
% 1.06/1.36 greater: ( $i * $i ) > $o)).
% 1.06/1.36 tff(sigma_type, type, (
% 1.06/1.36 sigma: $i)).
% 1.06/1.36 tff(age_type, type, (
% 1.06/1.36 age: ( $i * $i ) > $i)).
% 1.06/1.36 tff(sk6_type, type, (
% 1.06/1.36 sk6: $i)).
% 1.06/1.36 tff(sk3_type, type, (
% 1.06/1.36 sk3: $i)).
% 1.06/1.36 tff(smaller_type, type, (
% 1.06/1.36 smaller: ( $i * $i ) > $o)).
% 1.06/1.36 tff(dissimilar_type, type, (
% 1.06/1.36 dissimilar: ( $i * $i * $i ) > $o)).
% 1.06/1.36 tff(sk4_type, type, (
% 1.06/1.36 sk4: $i)).
% 1.06/1.36 tff(is_aligned_type, type, (
% 1.06/1.36 is_aligned: ( $i * $i ) > $o)).
% 1.06/1.36 tff(low_type, type, (
% 1.06/1.36 low: $i)).
% 1.06/1.36 tff(hazard_of_mortality_type, type, (
% 1.06/1.36 hazard_of_mortality: ( $i * $i ) > $i)).
% 1.06/1.36 tff(sk7_type, type, (
% 1.06/1.36 sk7: $i)).
% 1.06/1.36 tff(sk5_type, type, (
% 1.06/1.36 sk5: $i)).
% 1.06/1.36 tff(mod2_type, type, (
% 1.06/1.36 mod2: $i)).
% 1.06/1.36 tff(has_immunity_type, type, (
% 1.06/1.36 has_immunity: ( $i * $i ) > $o)).
% 1.06/1.36 tff(has_endowment_type, type, (
% 1.06/1.36 has_endowment: $i > $o)).
% 1.06/1.36 tff(organization_type, type, (
% 1.06/1.36 organization: $i > $o)).
% 1.06/1.36 tff(positional_advantage_type, type, (
% 1.06/1.36 positional_advantage: ( $i * $i ) > $o)).
% 1.06/1.36 tff(smaller_or_equal_type, type, (
% 1.06/1.36 smaller_or_equal: ( $i * $i ) > $o)).
% 1.06/1.36 tff(tau_type, type, (
% 1.06/1.36 tau: $i)).
% 1.06/1.36 tff(zero_type, type, (
% 1.06/1.36 zero: $i)).
% 1.06/1.36 tff(robust_position_type, type, (
% 1.06/1.36 robust_position: $i > $o)).
% 1.06/1.36 tff(high_type, type, (
% 1.06/1.36 high: $i)).
% 1.06/1.36 tff(mod1_type, type, (
% 1.06/1.36 mod1: $i)).
% 1.06/1.36 tff(very_low_type, type, (
% 1.06/1.36 very_low: $i)).
% 1.06/1.36 tff(1,assumption,(has_immunity(sk3, sk4)), introduced(assumption)).
% 1.06/1.36 tff(2,plain,
% 1.06/1.36 ((~has_endowment(sk3)) <=> (~has_endowment(sk3))),
% 1.06/1.36 inference(rewrite,[status(thm)],[])).
% 1.06/1.36 tff(3,axiom,(~has_endowment(sk3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','theorem_10_76')).
% 1.06/1.36 tff(4,plain,
% 1.06/1.36 (~has_endowment(sk3)),
% 1.06/1.36 inference(modus_ponens,[status(thm)],[3, 2])).
% 1.06/1.36 tff(5,plain,
% 1.06/1.36 (organization(sk3) <=> organization(sk3)),
% 1.06/1.36 inference(rewrite,[status(thm)],[])).
% 1.06/1.36 tff(6,axiom,(organization(sk3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','theorem_10_74')).
% 1.06/1.36 tff(7,plain,
% 1.06/1.36 (organization(sk3)),
% 1.06/1.36 inference(modus_ponens,[status(thm)],[6, 5])).
% 1.06/1.36 tff(8,plain,
% 1.06/1.36 (^[B: $i, A: $i] : refl((has_endowment(A) | (~has_immunity(A, B)) | (~organization(A))) <=> (has_endowment(A) | (~has_immunity(A, B)) | (~organization(A))))),
% 1.06/1.36 inference(bind,[status(th)],[])).
% 1.06/1.36 tff(9,plain,
% 1.06/1.36 (![B: $i, A: $i] : (has_endowment(A) | (~has_immunity(A, B)) | (~organization(A))) <=> ![B: $i, A: $i] : (has_endowment(A) | (~has_immunity(A, B)) | (~organization(A)))),
% 1.06/1.36 inference(quant_intro,[status(thm)],[8])).
% 1.06/1.36 tff(10,plain,
% 1.06/1.36 (![B: $i, A: $i] : (has_endowment(A) | (~has_immunity(A, B)) | (~organization(A))) <=> ![B: $i, A: $i] : (has_endowment(A) | (~has_immunity(A, B)) | (~organization(A)))),
% 1.06/1.36 inference(rewrite,[status(thm)],[])).
% 1.06/1.36 tff(11,plain,
% 1.06/1.36 (^[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_endowment(A) | (~has_immunity(A, B)) | (~organization(A)))), ((((~organization(A)) | has_endowment(A)) | (~has_immunity(A, B))) <=> (has_endowment(A) | (~has_immunity(A, B)) | (~organization(A)))))),
% 1.06/1.36 inference(bind,[status(th)],[])).
% 1.06/1.36 tff(12,plain,
% 1.06/1.36 (![B: $i, A: $i] : (((~organization(A)) | has_endowment(A)) | (~has_immunity(A, B))) <=> ![B: $i, A: $i] : (has_endowment(A) | (~has_immunity(A, B)) | (~organization(A)))),
% 1.06/1.36 inference(quant_intro,[status(thm)],[11])).
% 1.06/1.36 tff(13,axiom,(![B: $i, A: $i] : (((~organization(A)) | has_endowment(A)) | (~has_immunity(A, B)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','assumption_1_46')).
% 1.06/1.36 tff(14,plain,
% 1.06/1.36 (![B: $i, A: $i] : (has_endowment(A) | (~has_immunity(A, B)) | (~organization(A)))),
% 1.06/1.36 inference(modus_ponens,[status(thm)],[13, 12])).
% 1.06/1.36 tff(15,plain,
% 1.06/1.36 (![B: $i, A: $i] : (has_endowment(A) | (~has_immunity(A, B)) | (~organization(A)))),
% 1.06/1.36 inference(modus_ponens,[status(thm)],[14, 10])).
% 1.06/1.36 tff(16,plain,(
% 1.06/1.36 ![B: $i, A: $i] : (has_endowment(A) | (~has_immunity(A, B)) | (~organization(A)))),
% 1.06/1.36 inference(skolemize,[status(sab)],[15])).
% 1.06/1.36 tff(17,plain,
% 1.06/1.36 (![B: $i, A: $i] : (has_endowment(A) | (~has_immunity(A, B)) | (~organization(A)))),
% 1.06/1.36 inference(modus_ponens,[status(thm)],[16, 9])).
% 1.06/1.36 tff(18,plain,
% 1.06/1.36 (((~![B: $i, A: $i] : (has_endowment(A) | (~has_immunity(A, B)) | (~organization(A)))) | (has_endowment(sk3) | (~organization(sk3)) | (~has_immunity(sk3, sk4)))) <=> ((~![B: $i, A: $i] : (has_endowment(A) | (~has_immunity(A, B)) | (~organization(A)))) | has_endowment(sk3) | (~organization(sk3)) | (~has_immunity(sk3, sk4)))),
% 1.06/1.36 inference(rewrite,[status(thm)],[])).
% 1.06/1.36 tff(19,plain,
% 1.06/1.36 ((has_endowment(sk3) | (~has_immunity(sk3, sk4)) | (~organization(sk3))) <=> (has_endowment(sk3) | (~organization(sk3)) | (~has_immunity(sk3, sk4)))),
% 1.06/1.36 inference(rewrite,[status(thm)],[])).
% 1.06/1.36 tff(20,plain,
% 1.06/1.36 (((~![B: $i, A: $i] : (has_endowment(A) | (~has_immunity(A, B)) | (~organization(A)))) | (has_endowment(sk3) | (~has_immunity(sk3, sk4)) | (~organization(sk3)))) <=> ((~![B: $i, A: $i] : (has_endowment(A) | (~has_immunity(A, B)) | (~organization(A)))) | (has_endowment(sk3) | (~organization(sk3)) | (~has_immunity(sk3, sk4))))),
% 1.06/1.36 inference(monotonicity,[status(thm)],[19])).
% 1.06/1.36 tff(21,plain,
% 1.06/1.36 (((~![B: $i, A: $i] : (has_endowment(A) | (~has_immunity(A, B)) | (~organization(A)))) | (has_endowment(sk3) | (~has_immunity(sk3, sk4)) | (~organization(sk3)))) <=> ((~![B: $i, A: $i] : (has_endowment(A) | (~has_immunity(A, B)) | (~organization(A)))) | has_endowment(sk3) | (~organization(sk3)) | (~has_immunity(sk3, sk4)))),
% 1.06/1.36 inference(transitivity,[status(thm)],[20, 18])).
% 1.06/1.36 tff(22,plain,
% 1.06/1.36 ((~![B: $i, A: $i] : (has_endowment(A) | (~has_immunity(A, B)) | (~organization(A)))) | (has_endowment(sk3) | (~has_immunity(sk3, sk4)) | (~organization(sk3)))),
% 1.06/1.36 inference(quant_inst,[status(thm)],[])).
% 1.06/1.36 tff(23,plain,
% 1.06/1.36 ((~![B: $i, A: $i] : (has_endowment(A) | (~has_immunity(A, B)) | (~organization(A)))) | has_endowment(sk3) | (~organization(sk3)) | (~has_immunity(sk3, sk4))),
% 1.06/1.36 inference(modus_ponens,[status(thm)],[22, 21])).
% 1.06/1.37 tff(24,plain,
% 1.06/1.37 ($false),
% 1.06/1.37 inference(unit_resolution,[status(thm)],[23, 17, 7, 4, 1])).
% 1.06/1.37 tff(25,plain,(~has_immunity(sk3, sk4)), inference(lemma,lemma(discharge,[]))).
% 1.06/1.37 tff(26,plain,
% 1.06/1.37 ((age(sk3, sk4) = zero) <=> (age(sk3, sk4) = zero)),
% 1.06/1.37 inference(rewrite,[status(thm)],[])).
% 1.06/1.37 tff(27,axiom,(age(sk3, sk4) = zero), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','theorem_10_77')).
% 1.06/1.37 tff(28,plain,
% 1.06/1.37 (age(sk3, sk4) = zero),
% 1.06/1.37 inference(modus_ponens,[status(thm)],[27, 26])).
% 1.06/1.37 tff(29,plain,
% 1.06/1.37 (zero = age(sk3, sk4)),
% 1.06/1.37 inference(symmetry,[status(thm)],[28])).
% 1.06/1.37 tff(30,plain,
% 1.06/1.37 (smaller_or_equal(zero, tau) <=> smaller_or_equal(age(sk3, sk4), tau)),
% 1.06/1.37 inference(monotonicity,[status(thm)],[29])).
% 1.06/1.37 tff(31,plain,
% 1.06/1.37 (greater(tau, zero) <=> greater(tau, zero)),
% 1.06/1.37 inference(rewrite,[status(thm)],[])).
% 1.06/1.37 tff(32,axiom,(greater(tau, zero)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','theorem_10_79')).
% 1.06/1.37 tff(33,plain,
% 1.06/1.37 (greater(tau, zero)),
% 1.06/1.37 inference(modus_ponens,[status(thm)],[32, 31])).
% 1.06/1.37 tff(34,plain,
% 1.06/1.37 (^[B: $i, A: $i] : refl(((~greater(A, B)) | smaller(B, A)) <=> ((~greater(A, B)) | smaller(B, A)))),
% 1.06/1.37 inference(bind,[status(th)],[])).
% 1.06/1.37 tff(35,plain,
% 1.06/1.37 (![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A)) <=> ![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))),
% 1.06/1.37 inference(quant_intro,[status(thm)],[34])).
% 1.06/1.37 tff(36,plain,
% 1.06/1.37 (![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A)) <=> ![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))),
% 1.06/1.37 inference(rewrite,[status(thm)],[])).
% 1.06/1.37 tff(37,axiom,(![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))), file('/export/starexec/sandbox2/benchmark/Axioms/MGT001-0.ax','definition_smaller_8')).
% 1.06/1.37 tff(38,plain,
% 1.06/1.37 (![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))),
% 1.06/1.37 inference(modus_ponens,[status(thm)],[37, 36])).
% 1.06/1.37 tff(39,plain,(
% 1.06/1.37 ![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))),
% 1.06/1.37 inference(skolemize,[status(sab)],[38])).
% 1.06/1.37 tff(40,plain,
% 1.06/1.37 (![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))),
% 1.06/1.37 inference(modus_ponens,[status(thm)],[39, 35])).
% 1.06/1.37 tff(41,plain,
% 1.06/1.37 (((~![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))) | ((~greater(tau, zero)) | smaller(zero, tau))) <=> ((~![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))) | (~greater(tau, zero)) | smaller(zero, tau))),
% 1.06/1.37 inference(rewrite,[status(thm)],[])).
% 1.06/1.37 tff(42,plain,
% 1.06/1.37 ((~![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))) | ((~greater(tau, zero)) | smaller(zero, tau))),
% 1.06/1.37 inference(quant_inst,[status(thm)],[])).
% 1.06/1.37 tff(43,plain,
% 1.06/1.37 ((~![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))) | (~greater(tau, zero)) | smaller(zero, tau)),
% 1.06/1.37 inference(modus_ponens,[status(thm)],[42, 41])).
% 1.06/1.37 tff(44,plain,
% 1.06/1.37 (smaller(zero, tau)),
% 1.06/1.37 inference(unit_resolution,[status(thm)],[43, 40, 33])).
% 1.06/1.37 tff(45,plain,
% 1.06/1.37 (^[B: $i, A: $i] : refl(((~smaller(A, B)) | smaller_or_equal(A, B)) <=> ((~smaller(A, B)) | smaller_or_equal(A, B)))),
% 1.06/1.37 inference(bind,[status(th)],[])).
% 1.06/1.37 tff(46,plain,
% 1.06/1.37 (![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B)) <=> ![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B))),
% 1.06/1.37 inference(quant_intro,[status(thm)],[45])).
% 1.06/1.37 tff(47,plain,
% 1.06/1.37 (![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B)) <=> ![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B))),
% 1.06/1.37 inference(rewrite,[status(thm)],[])).
% 1.06/1.37 tff(48,axiom,(![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B))), file('/export/starexec/sandbox2/benchmark/Axioms/MGT001-0.ax','definition_smaller_or_equal_2')).
% 1.06/1.37 tff(49,plain,
% 1.06/1.37 (![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B))),
% 1.06/1.37 inference(modus_ponens,[status(thm)],[48, 47])).
% 1.06/1.37 tff(50,plain,(
% 1.06/1.37 ![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B))),
% 1.06/1.37 inference(skolemize,[status(sab)],[49])).
% 1.06/1.37 tff(51,plain,
% 1.06/1.37 (![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B))),
% 1.06/1.37 inference(modus_ponens,[status(thm)],[50, 46])).
% 1.06/1.37 tff(52,plain,
% 1.06/1.37 (((~![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B))) | ((~smaller(zero, tau)) | smaller_or_equal(zero, tau))) <=> ((~![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B))) | (~smaller(zero, tau)) | smaller_or_equal(zero, tau))),
% 1.06/1.37 inference(rewrite,[status(thm)],[])).
% 1.06/1.37 tff(53,plain,
% 1.06/1.37 ((~![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B))) | ((~smaller(zero, tau)) | smaller_or_equal(zero, tau))),
% 1.06/1.37 inference(quant_inst,[status(thm)],[])).
% 1.06/1.37 tff(54,plain,
% 1.06/1.37 ((~![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B))) | (~smaller(zero, tau)) | smaller_or_equal(zero, tau)),
% 1.06/1.37 inference(modus_ponens,[status(thm)],[53, 52])).
% 1.06/1.37 tff(55,plain,
% 1.06/1.37 (smaller_or_equal(zero, tau)),
% 1.06/1.37 inference(unit_resolution,[status(thm)],[54, 51, 44])).
% 1.06/1.37 tff(56,plain,
% 1.06/1.37 (smaller_or_equal(age(sk3, sk4), tau)),
% 1.06/1.37 inference(modus_ponens,[status(thm)],[55, 30])).
% 1.06/1.37 tff(57,plain,
% 1.06/1.37 (robust_position(sk3) <=> robust_position(sk3)),
% 1.06/1.37 inference(rewrite,[status(thm)],[])).
% 1.06/1.37 tff(58,axiom,(robust_position(sk3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','theorem_10_75')).
% 1.06/1.37 tff(59,plain,
% 1.06/1.37 (robust_position(sk3)),
% 1.06/1.37 inference(modus_ponens,[status(thm)],[58, 57])).
% 1.06/1.37 tff(60,plain,
% 1.06/1.37 (^[B: $i, A: $i] : refl(((~positional_advantage(A, B)) | (~smaller_or_equal(age(A, B), tau)) | (~robust_position(A))) <=> ((~positional_advantage(A, B)) | (~smaller_or_equal(age(A, B), tau)) | (~robust_position(A))))),
% 1.06/1.37 inference(bind,[status(th)],[])).
% 1.06/1.37 tff(61,plain,
% 1.06/1.37 (![B: $i, A: $i] : ((~positional_advantage(A, B)) | (~smaller_or_equal(age(A, B), tau)) | (~robust_position(A))) <=> ![B: $i, A: $i] : ((~positional_advantage(A, B)) | (~smaller_or_equal(age(A, B), tau)) | (~robust_position(A)))),
% 1.06/1.37 inference(quant_intro,[status(thm)],[60])).
% 1.06/1.37 tff(62,plain,
% 1.06/1.37 (![B: $i, A: $i] : ((~positional_advantage(A, B)) | (~smaller_or_equal(age(A, B), tau)) | (~robust_position(A))) <=> ![B: $i, A: $i] : ((~positional_advantage(A, B)) | (~smaller_or_equal(age(A, B), tau)) | (~robust_position(A)))),
% 1.06/1.37 inference(rewrite,[status(thm)],[])).
% 1.06/1.37 tff(63,plain,
% 1.06/1.37 (^[B: $i, A: $i] : rewrite((((~robust_position(A)) | (~smaller_or_equal(age(A, B), tau))) | (~positional_advantage(A, B))) <=> ((~positional_advantage(A, B)) | (~smaller_or_equal(age(A, B), tau)) | (~robust_position(A))))),
% 1.06/1.37 inference(bind,[status(th)],[])).
% 1.06/1.37 tff(64,plain,
% 1.06/1.37 (![B: $i, A: $i] : (((~robust_position(A)) | (~smaller_or_equal(age(A, B), tau))) | (~positional_advantage(A, B))) <=> ![B: $i, A: $i] : ((~positional_advantage(A, B)) | (~smaller_or_equal(age(A, B), tau)) | (~robust_position(A)))),
% 1.06/1.37 inference(quant_intro,[status(thm)],[63])).
% 1.06/1.37 tff(65,axiom,(![B: $i, A: $i] : (((~robust_position(A)) | (~smaller_or_equal(age(A, B), tau))) | (~positional_advantage(A, B)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','definition_4_57')).
% 1.06/1.37 tff(66,plain,
% 1.06/1.37 (![B: $i, A: $i] : ((~positional_advantage(A, B)) | (~smaller_or_equal(age(A, B), tau)) | (~robust_position(A)))),
% 1.06/1.37 inference(modus_ponens,[status(thm)],[65, 64])).
% 1.06/1.37 tff(67,plain,
% 1.06/1.37 (![B: $i, A: $i] : ((~positional_advantage(A, B)) | (~smaller_or_equal(age(A, B), tau)) | (~robust_position(A)))),
% 1.06/1.37 inference(modus_ponens,[status(thm)],[66, 62])).
% 1.06/1.37 tff(68,plain,(
% 1.06/1.37 ![B: $i, A: $i] : ((~positional_advantage(A, B)) | (~smaller_or_equal(age(A, B), tau)) | (~robust_position(A)))),
% 1.06/1.37 inference(skolemize,[status(sab)],[67])).
% 1.06/1.37 tff(69,plain,
% 1.06/1.37 (![B: $i, A: $i] : ((~positional_advantage(A, B)) | (~smaller_or_equal(age(A, B), tau)) | (~robust_position(A)))),
% 1.06/1.37 inference(modus_ponens,[status(thm)],[68, 61])).
% 1.06/1.37 tff(70,plain,
% 1.06/1.37 (((~![B: $i, A: $i] : ((~positional_advantage(A, B)) | (~smaller_or_equal(age(A, B), tau)) | (~robust_position(A)))) | ((~positional_advantage(sk3, sk4)) | (~smaller_or_equal(age(sk3, sk4), tau)) | (~robust_position(sk3)))) <=> ((~![B: $i, A: $i] : ((~positional_advantage(A, B)) | (~smaller_or_equal(age(A, B), tau)) | (~robust_position(A)))) | (~positional_advantage(sk3, sk4)) | (~smaller_or_equal(age(sk3, sk4), tau)) | (~robust_position(sk3)))),
% 1.06/1.37 inference(rewrite,[status(thm)],[])).
% 1.06/1.37 tff(71,plain,
% 1.06/1.37 ((~![B: $i, A: $i] : ((~positional_advantage(A, B)) | (~smaller_or_equal(age(A, B), tau)) | (~robust_position(A)))) | ((~positional_advantage(sk3, sk4)) | (~smaller_or_equal(age(sk3, sk4), tau)) | (~robust_position(sk3)))),
% 1.06/1.37 inference(quant_inst,[status(thm)],[])).
% 1.06/1.37 tff(72,plain,
% 1.06/1.37 ((~![B: $i, A: $i] : ((~positional_advantage(A, B)) | (~smaller_or_equal(age(A, B), tau)) | (~robust_position(A)))) | (~positional_advantage(sk3, sk4)) | (~smaller_or_equal(age(sk3, sk4), tau)) | (~robust_position(sk3))),
% 1.06/1.37 inference(modus_ponens,[status(thm)],[71, 70])).
% 1.06/1.37 tff(73,plain,
% 1.06/1.37 ((~positional_advantage(sk3, sk4)) | (~smaller_or_equal(age(sk3, sk4), tau))),
% 1.06/1.37 inference(unit_resolution,[status(thm)],[72, 69, 59])).
% 1.06/1.37 tff(74,plain,
% 1.06/1.37 (~positional_advantage(sk3, sk4)),
% 1.06/1.37 inference(unit_resolution,[status(thm)],[73, 56])).
% 1.06/1.37 tff(75,plain,
% 1.06/1.37 (^[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))))),
% 1.06/1.37 inference(bind,[status(th)],[])).
% 1.06/1.37 tff(76,plain,
% 1.06/1.37 (![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)))),
% 1.06/1.37 inference(quant_intro,[status(thm)],[75])).
% 1.06/1.37 tff(77,plain,
% 1.06/1.37 (![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)))),
% 1.06/1.37 inference(rewrite,[status(thm)],[])).
% 1.06/1.37 tff(78,plain,
% 1.06/1.37 (^[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))))),
% 1.06/1.37 inference(bind,[status(th)],[])).
% 1.06/1.37 tff(79,plain,
% 1.06/1.37 (![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)))),
% 1.06/1.37 inference(quant_intro,[status(thm)],[78])).
% 1.06/1.37 tff(80,axiom,(![B: $i, A: $i] : (((~organization(A)) | (~(age(A, B) = zero))) | is_aligned(A, B))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','assumption_13_54')).
% 1.06/1.38 tff(81,plain,
% 1.06/1.38 (![B: $i, A: $i] : ((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = zero)))),
% 1.06/1.38 inference(modus_ponens,[status(thm)],[80, 79])).
% 1.06/1.38 tff(82,plain,
% 1.06/1.38 (![B: $i, A: $i] : ((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = zero)))),
% 1.06/1.38 inference(modus_ponens,[status(thm)],[81, 77])).
% 1.06/1.38 tff(83,plain,(
% 1.06/1.38 ![B: $i, A: $i] : ((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = zero)))),
% 1.06/1.38 inference(skolemize,[status(sab)],[82])).
% 1.06/1.38 tff(84,plain,
% 1.06/1.38 (![B: $i, A: $i] : ((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = zero)))),
% 1.06/1.38 inference(modus_ponens,[status(thm)],[83, 76])).
% 1.06/1.38 tff(85,plain,
% 1.06/1.38 (((~![B: $i, A: $i] : ((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = zero)))) | ((~organization(sk3)) | is_aligned(sk3, sk4) | (~(age(sk3, sk4) = zero)))) <=> ((~![B: $i, A: $i] : ((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = zero)))) | (~organization(sk3)) | is_aligned(sk3, sk4) | (~(age(sk3, sk4) = zero)))),
% 1.06/1.38 inference(rewrite,[status(thm)],[])).
% 1.06/1.38 tff(86,plain,
% 1.06/1.38 ((~![B: $i, A: $i] : ((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = zero)))) | ((~organization(sk3)) | is_aligned(sk3, sk4) | (~(age(sk3, sk4) = zero)))),
% 1.06/1.38 inference(quant_inst,[status(thm)],[])).
% 1.06/1.38 tff(87,plain,
% 1.06/1.38 ((~![B: $i, A: $i] : ((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = zero)))) | (~organization(sk3)) | is_aligned(sk3, sk4) | (~(age(sk3, sk4) = zero))),
% 1.06/1.38 inference(modus_ponens,[status(thm)],[86, 85])).
% 1.06/1.38 tff(88,plain,
% 1.06/1.38 (is_aligned(sk3, sk4)),
% 1.06/1.38 inference(unit_resolution,[status(thm)],[87, 84, 7, 28])).
% 1.06/1.38 tff(89,plain,
% 1.06/1.38 (^[B: $i, A: $i] : refl((has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | (~is_aligned(A, B)) | (hazard_of_mortality(A, B) = mod2)) <=> (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | (~is_aligned(A, B)) | (hazard_of_mortality(A, B) = mod2)))),
% 1.06/1.38 inference(bind,[status(th)],[])).
% 1.06/1.38 tff(90,plain,
% 1.06/1.38 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | (~is_aligned(A, B)) | (hazard_of_mortality(A, B) = mod2)) <=> ![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | (~is_aligned(A, B)) | (hazard_of_mortality(A, B) = mod2))),
% 1.06/1.38 inference(quant_intro,[status(thm)],[89])).
% 1.06/1.38 tff(91,plain,
% 1.06/1.38 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | (~is_aligned(A, B)) | (hazard_of_mortality(A, B) = mod2)) <=> ![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | (~is_aligned(A, B)) | (hazard_of_mortality(A, B) = mod2))),
% 1.06/1.38 inference(rewrite,[status(thm)],[])).
% 1.06/1.38 tff(92,plain,
% 1.06/1.38 (^[B: $i, A: $i] : trans(monotonicity(trans(monotonicity(rewrite((((~organization(A)) | has_immunity(A, B)) | (~is_aligned(A, B))) <=> (has_immunity(A, B) | (~organization(A)) | (~is_aligned(A, B)))), (((((~organization(A)) | has_immunity(A, B)) | (~is_aligned(A, B))) | positional_advantage(A, B)) <=> ((has_immunity(A, B) | (~organization(A)) | (~is_aligned(A, B))) | positional_advantage(A, B)))), rewrite(((has_immunity(A, B) | (~organization(A)) | (~is_aligned(A, B))) | positional_advantage(A, B)) <=> (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | (~is_aligned(A, B)))), (((((~organization(A)) | has_immunity(A, B)) | (~is_aligned(A, B))) | positional_advantage(A, B)) <=> (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | (~is_aligned(A, B))))), ((((((~organization(A)) | has_immunity(A, B)) | (~is_aligned(A, B))) | positional_advantage(A, B)) | (hazard_of_mortality(A, B) = mod2)) <=> ((has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | (~is_aligned(A, B))) | (hazard_of_mortality(A, B) = mod2)))), rewrite(((has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | (~is_aligned(A, B))) | (hazard_of_mortality(A, B) = mod2)) <=> (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | (~is_aligned(A, B)) | (hazard_of_mortality(A, B) = mod2))), ((((((~organization(A)) | has_immunity(A, B)) | (~is_aligned(A, B))) | positional_advantage(A, B)) | (hazard_of_mortality(A, B) = mod2)) <=> (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | (~is_aligned(A, B)) | (hazard_of_mortality(A, B) = mod2))))),
% 1.06/1.38 inference(bind,[status(th)],[])).
% 1.06/1.38 tff(93,plain,
% 1.06/1.38 (![B: $i, A: $i] : (((((~organization(A)) | has_immunity(A, B)) | (~is_aligned(A, B))) | positional_advantage(A, B)) | (hazard_of_mortality(A, B) = mod2)) <=> ![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | (~is_aligned(A, B)) | (hazard_of_mortality(A, B) = mod2))),
% 1.06/1.38 inference(quant_intro,[status(thm)],[92])).
% 1.06/1.38 tff(94,axiom,(![B: $i, A: $i] : (((((~organization(A)) | has_immunity(A, B)) | (~is_aligned(A, B))) | positional_advantage(A, B)) | (hazard_of_mortality(A, B) = mod2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','assumption_17_66')).
% 1.06/1.38 tff(95,plain,
% 1.06/1.38 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | (~is_aligned(A, B)) | (hazard_of_mortality(A, B) = mod2))),
% 1.06/1.38 inference(modus_ponens,[status(thm)],[94, 93])).
% 1.06/1.38 tff(96,plain,
% 1.06/1.38 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | (~is_aligned(A, B)) | (hazard_of_mortality(A, B) = mod2))),
% 1.06/1.38 inference(modus_ponens,[status(thm)],[95, 91])).
% 1.06/1.38 tff(97,plain,(
% 1.06/1.38 ![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | (~is_aligned(A, B)) | (hazard_of_mortality(A, B) = mod2))),
% 1.06/1.38 inference(skolemize,[status(sab)],[96])).
% 1.06/1.38 tff(98,plain,
% 1.06/1.38 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | (~is_aligned(A, B)) | (hazard_of_mortality(A, B) = mod2))),
% 1.06/1.38 inference(modus_ponens,[status(thm)],[97, 90])).
% 1.06/1.38 tff(99,plain,
% 1.06/1.38 (((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | (~is_aligned(A, B)) | (hazard_of_mortality(A, B) = mod2))) | ((~organization(sk3)) | positional_advantage(sk3, sk4) | has_immunity(sk3, sk4) | (~is_aligned(sk3, sk4)) | (hazard_of_mortality(sk3, sk4) = mod2))) <=> ((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | (~is_aligned(A, B)) | (hazard_of_mortality(A, B) = mod2))) | (~organization(sk3)) | positional_advantage(sk3, sk4) | has_immunity(sk3, sk4) | (~is_aligned(sk3, sk4)) | (hazard_of_mortality(sk3, sk4) = mod2))),
% 1.06/1.38 inference(rewrite,[status(thm)],[])).
% 1.06/1.38 tff(100,plain,
% 1.06/1.38 ((has_immunity(sk3, sk4) | (~organization(sk3)) | positional_advantage(sk3, sk4) | (~is_aligned(sk3, sk4)) | (hazard_of_mortality(sk3, sk4) = mod2)) <=> ((~organization(sk3)) | positional_advantage(sk3, sk4) | has_immunity(sk3, sk4) | (~is_aligned(sk3, sk4)) | (hazard_of_mortality(sk3, sk4) = mod2))),
% 1.06/1.38 inference(rewrite,[status(thm)],[])).
% 1.06/1.38 tff(101,plain,
% 1.06/1.38 (((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | (~is_aligned(A, B)) | (hazard_of_mortality(A, B) = mod2))) | (has_immunity(sk3, sk4) | (~organization(sk3)) | positional_advantage(sk3, sk4) | (~is_aligned(sk3, sk4)) | (hazard_of_mortality(sk3, sk4) = mod2))) <=> ((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | (~is_aligned(A, B)) | (hazard_of_mortality(A, B) = mod2))) | ((~organization(sk3)) | positional_advantage(sk3, sk4) | has_immunity(sk3, sk4) | (~is_aligned(sk3, sk4)) | (hazard_of_mortality(sk3, sk4) = mod2)))),
% 1.06/1.38 inference(monotonicity,[status(thm)],[100])).
% 1.06/1.38 tff(102,plain,
% 1.06/1.38 (((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | (~is_aligned(A, B)) | (hazard_of_mortality(A, B) = mod2))) | (has_immunity(sk3, sk4) | (~organization(sk3)) | positional_advantage(sk3, sk4) | (~is_aligned(sk3, sk4)) | (hazard_of_mortality(sk3, sk4) = mod2))) <=> ((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | (~is_aligned(A, B)) | (hazard_of_mortality(A, B) = mod2))) | (~organization(sk3)) | positional_advantage(sk3, sk4) | has_immunity(sk3, sk4) | (~is_aligned(sk3, sk4)) | (hazard_of_mortality(sk3, sk4) = mod2))),
% 1.06/1.38 inference(transitivity,[status(thm)],[101, 99])).
% 1.06/1.38 tff(103,plain,
% 1.06/1.38 ((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | (~is_aligned(A, B)) | (hazard_of_mortality(A, B) = mod2))) | (has_immunity(sk3, sk4) | (~organization(sk3)) | positional_advantage(sk3, sk4) | (~is_aligned(sk3, sk4)) | (hazard_of_mortality(sk3, sk4) = mod2))),
% 1.06/1.38 inference(quant_inst,[status(thm)],[])).
% 1.06/1.38 tff(104,plain,
% 1.06/1.38 ((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | (~is_aligned(A, B)) | (hazard_of_mortality(A, B) = mod2))) | (~organization(sk3)) | positional_advantage(sk3, sk4) | has_immunity(sk3, sk4) | (~is_aligned(sk3, sk4)) | (hazard_of_mortality(sk3, sk4) = mod2)),
% 1.06/1.38 inference(modus_ponens,[status(thm)],[103, 102])).
% 1.06/1.38 tff(105,plain,
% 1.06/1.38 (positional_advantage(sk3, sk4) | has_immunity(sk3, sk4) | (hazard_of_mortality(sk3, sk4) = mod2)),
% 1.06/1.38 inference(unit_resolution,[status(thm)],[104, 98, 7, 88])).
% 1.06/1.38 tff(106,plain,
% 1.06/1.38 (has_immunity(sk3, sk4) | (hazard_of_mortality(sk3, sk4) = mod2)),
% 1.06/1.38 inference(unit_resolution,[status(thm)],[105, 74])).
% 1.06/1.38 tff(107,plain,
% 1.06/1.38 (hazard_of_mortality(sk3, sk4) = mod2),
% 1.06/1.38 inference(unit_resolution,[status(thm)],[106, 25])).
% 1.06/1.38 tff(108,plain,
% 1.06/1.38 ((hazard_of_mortality(sk3, sk5) = hazard_of_mortality(sk3, sk4)) <=> (hazard_of_mortality(sk3, sk5) = mod2)),
% 1.06/1.38 inference(monotonicity,[status(thm)],[107])).
% 1.06/1.38 tff(109,plain,
% 1.06/1.38 ((hazard_of_mortality(sk3, sk5) = mod2) <=> (hazard_of_mortality(sk3, sk5) = hazard_of_mortality(sk3, sk4))),
% 1.06/1.38 inference(symmetry,[status(thm)],[108])).
% 1.06/1.38 tff(110,assumption,(greater(age(sk3, sk5), sigma)), introduced(assumption)).
% 1.06/1.38 tff(111,plain,
% 1.06/1.38 (smaller_or_equal(age(sk3, sk5), tau) <=> smaller_or_equal(age(sk3, sk5), tau)),
% 1.06/1.38 inference(rewrite,[status(thm)],[])).
% 1.06/1.38 tff(112,axiom,(smaller_or_equal(age(sk3, sk5), tau)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','theorem_10_81')).
% 1.06/1.38 tff(113,plain,
% 1.06/1.38 (smaller_or_equal(age(sk3, sk5), tau)),
% 1.06/1.38 inference(modus_ponens,[status(thm)],[112, 111])).
% 1.06/1.38 tff(114,plain,
% 1.06/1.38 (((~![B: $i, A: $i] : ((~positional_advantage(A, B)) | (~smaller_or_equal(age(A, B), tau)) | (~robust_position(A)))) | ((~smaller_or_equal(age(sk3, sk5), tau)) | (~robust_position(sk3)) | (~positional_advantage(sk3, sk5)))) <=> ((~![B: $i, A: $i] : ((~positional_advantage(A, B)) | (~smaller_or_equal(age(A, B), tau)) | (~robust_position(A)))) | (~smaller_or_equal(age(sk3, sk5), tau)) | (~robust_position(sk3)) | (~positional_advantage(sk3, sk5)))),
% 1.06/1.38 inference(rewrite,[status(thm)],[])).
% 1.06/1.38 tff(115,plain,
% 1.06/1.38 (((~positional_advantage(sk3, sk5)) | (~smaller_or_equal(age(sk3, sk5), tau)) | (~robust_position(sk3))) <=> ((~smaller_or_equal(age(sk3, sk5), tau)) | (~robust_position(sk3)) | (~positional_advantage(sk3, sk5)))),
% 1.06/1.38 inference(rewrite,[status(thm)],[])).
% 1.06/1.38 tff(116,plain,
% 1.06/1.38 (((~![B: $i, A: $i] : ((~positional_advantage(A, B)) | (~smaller_or_equal(age(A, B), tau)) | (~robust_position(A)))) | ((~positional_advantage(sk3, sk5)) | (~smaller_or_equal(age(sk3, sk5), tau)) | (~robust_position(sk3)))) <=> ((~![B: $i, A: $i] : ((~positional_advantage(A, B)) | (~smaller_or_equal(age(A, B), tau)) | (~robust_position(A)))) | ((~smaller_or_equal(age(sk3, sk5), tau)) | (~robust_position(sk3)) | (~positional_advantage(sk3, sk5))))),
% 1.06/1.38 inference(monotonicity,[status(thm)],[115])).
% 1.06/1.38 tff(117,plain,
% 1.06/1.38 (((~![B: $i, A: $i] : ((~positional_advantage(A, B)) | (~smaller_or_equal(age(A, B), tau)) | (~robust_position(A)))) | ((~positional_advantage(sk3, sk5)) | (~smaller_or_equal(age(sk3, sk5), tau)) | (~robust_position(sk3)))) <=> ((~![B: $i, A: $i] : ((~positional_advantage(A, B)) | (~smaller_or_equal(age(A, B), tau)) | (~robust_position(A)))) | (~smaller_or_equal(age(sk3, sk5), tau)) | (~robust_position(sk3)) | (~positional_advantage(sk3, sk5)))),
% 1.06/1.38 inference(transitivity,[status(thm)],[116, 114])).
% 1.06/1.38 tff(118,plain,
% 1.06/1.38 ((~![B: $i, A: $i] : ((~positional_advantage(A, B)) | (~smaller_or_equal(age(A, B), tau)) | (~robust_position(A)))) | ((~positional_advantage(sk3, sk5)) | (~smaller_or_equal(age(sk3, sk5), tau)) | (~robust_position(sk3)))),
% 1.06/1.39 inference(quant_inst,[status(thm)],[])).
% 1.06/1.39 tff(119,plain,
% 1.06/1.39 ((~![B: $i, A: $i] : ((~positional_advantage(A, B)) | (~smaller_or_equal(age(A, B), tau)) | (~robust_position(A)))) | (~smaller_or_equal(age(sk3, sk5), tau)) | (~robust_position(sk3)) | (~positional_advantage(sk3, sk5))),
% 1.06/1.39 inference(modus_ponens,[status(thm)],[118, 117])).
% 1.06/1.39 tff(120,plain,
% 1.06/1.39 (~positional_advantage(sk3, sk5)),
% 1.06/1.39 inference(unit_resolution,[status(thm)],[119, 69, 59, 113])).
% 1.06/1.39 tff(121,plain,
% 1.06/1.39 (^[B: $i, A: $i] : refl((positional_advantage(A, B) | (~robust_position(A)) | (~greater(age(A, B), tau))) <=> (positional_advantage(A, B) | (~robust_position(A)) | (~greater(age(A, B), tau))))),
% 1.06/1.39 inference(bind,[status(th)],[])).
% 1.06/1.39 tff(122,plain,
% 1.06/1.39 (![B: $i, A: $i] : (positional_advantage(A, B) | (~robust_position(A)) | (~greater(age(A, B), tau))) <=> ![B: $i, A: $i] : (positional_advantage(A, B) | (~robust_position(A)) | (~greater(age(A, B), tau)))),
% 1.06/1.39 inference(quant_intro,[status(thm)],[121])).
% 1.06/1.39 tff(123,plain,
% 1.06/1.39 (![B: $i, A: $i] : (positional_advantage(A, B) | (~robust_position(A)) | (~greater(age(A, B), tau))) <=> ![B: $i, A: $i] : (positional_advantage(A, B) | (~robust_position(A)) | (~greater(age(A, B), tau)))),
% 1.06/1.39 inference(rewrite,[status(thm)],[])).
% 1.06/1.39 tff(124,plain,
% 1.06/1.39 (^[B: $i, A: $i] : rewrite((((~robust_position(A)) | (~greater(age(A, B), tau))) | positional_advantage(A, B)) <=> (positional_advantage(A, B) | (~robust_position(A)) | (~greater(age(A, B), tau))))),
% 1.06/1.39 inference(bind,[status(th)],[])).
% 1.06/1.39 tff(125,plain,
% 1.06/1.39 (![B: $i, A: $i] : (((~robust_position(A)) | (~greater(age(A, B), tau))) | positional_advantage(A, B)) <=> ![B: $i, A: $i] : (positional_advantage(A, B) | (~robust_position(A)) | (~greater(age(A, B), tau)))),
% 1.06/1.39 inference(quant_intro,[status(thm)],[124])).
% 1.06/1.39 tff(126,axiom,(![B: $i, A: $i] : (((~robust_position(A)) | (~greater(age(A, B), tau))) | positional_advantage(A, B))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','definition_4_58')).
% 1.06/1.39 tff(127,plain,
% 1.06/1.39 (![B: $i, A: $i] : (positional_advantage(A, B) | (~robust_position(A)) | (~greater(age(A, B), tau)))),
% 1.06/1.39 inference(modus_ponens,[status(thm)],[126, 125])).
% 1.06/1.39 tff(128,plain,
% 1.06/1.39 (![B: $i, A: $i] : (positional_advantage(A, B) | (~robust_position(A)) | (~greater(age(A, B), tau)))),
% 1.06/1.39 inference(modus_ponens,[status(thm)],[127, 123])).
% 1.06/1.39 tff(129,plain,(
% 1.06/1.39 ![B: $i, A: $i] : (positional_advantage(A, B) | (~robust_position(A)) | (~greater(age(A, B), tau)))),
% 1.06/1.39 inference(skolemize,[status(sab)],[128])).
% 1.06/1.39 tff(130,plain,
% 1.06/1.39 (![B: $i, A: $i] : (positional_advantage(A, B) | (~robust_position(A)) | (~greater(age(A, B), tau)))),
% 1.06/1.39 inference(modus_ponens,[status(thm)],[129, 122])).
% 1.06/1.39 tff(131,plain,
% 1.06/1.39 (((~![B: $i, A: $i] : (positional_advantage(A, B) | (~robust_position(A)) | (~greater(age(A, B), tau)))) | ((~robust_position(sk3)) | positional_advantage(sk3, sk5) | (~greater(age(sk3, sk5), tau)))) <=> ((~![B: $i, A: $i] : (positional_advantage(A, B) | (~robust_position(A)) | (~greater(age(A, B), tau)))) | (~robust_position(sk3)) | positional_advantage(sk3, sk5) | (~greater(age(sk3, sk5), tau)))),
% 1.06/1.39 inference(rewrite,[status(thm)],[])).
% 1.06/1.39 tff(132,plain,
% 1.06/1.39 ((positional_advantage(sk3, sk5) | (~robust_position(sk3)) | (~greater(age(sk3, sk5), tau))) <=> ((~robust_position(sk3)) | positional_advantage(sk3, sk5) | (~greater(age(sk3, sk5), tau)))),
% 1.06/1.39 inference(rewrite,[status(thm)],[])).
% 1.06/1.39 tff(133,plain,
% 1.06/1.39 (((~![B: $i, A: $i] : (positional_advantage(A, B) | (~robust_position(A)) | (~greater(age(A, B), tau)))) | (positional_advantage(sk3, sk5) | (~robust_position(sk3)) | (~greater(age(sk3, sk5), tau)))) <=> ((~![B: $i, A: $i] : (positional_advantage(A, B) | (~robust_position(A)) | (~greater(age(A, B), tau)))) | ((~robust_position(sk3)) | positional_advantage(sk3, sk5) | (~greater(age(sk3, sk5), tau))))),
% 1.06/1.39 inference(monotonicity,[status(thm)],[132])).
% 1.06/1.39 tff(134,plain,
% 1.06/1.39 (((~![B: $i, A: $i] : (positional_advantage(A, B) | (~robust_position(A)) | (~greater(age(A, B), tau)))) | (positional_advantage(sk3, sk5) | (~robust_position(sk3)) | (~greater(age(sk3, sk5), tau)))) <=> ((~![B: $i, A: $i] : (positional_advantage(A, B) | (~robust_position(A)) | (~greater(age(A, B), tau)))) | (~robust_position(sk3)) | positional_advantage(sk3, sk5) | (~greater(age(sk3, sk5), tau)))),
% 1.06/1.39 inference(transitivity,[status(thm)],[133, 131])).
% 1.06/1.39 tff(135,plain,
% 1.06/1.39 ((~![B: $i, A: $i] : (positional_advantage(A, B) | (~robust_position(A)) | (~greater(age(A, B), tau)))) | (positional_advantage(sk3, sk5) | (~robust_position(sk3)) | (~greater(age(sk3, sk5), tau)))),
% 1.06/1.39 inference(quant_inst,[status(thm)],[])).
% 1.06/1.39 tff(136,plain,
% 1.06/1.39 ((~![B: $i, A: $i] : (positional_advantage(A, B) | (~robust_position(A)) | (~greater(age(A, B), tau)))) | (~robust_position(sk3)) | positional_advantage(sk3, sk5) | (~greater(age(sk3, sk5), tau))),
% 1.06/1.39 inference(modus_ponens,[status(thm)],[135, 134])).
% 1.06/1.39 tff(137,plain,
% 1.06/1.39 (positional_advantage(sk3, sk5) | (~greater(age(sk3, sk5), tau))),
% 1.06/1.39 inference(unit_resolution,[status(thm)],[136, 130, 59])).
% 1.06/1.39 tff(138,plain,
% 1.06/1.39 (~greater(age(sk3, sk5), tau)),
% 1.06/1.39 inference(unit_resolution,[status(thm)],[137, 120])).
% 1.06/1.39 tff(139,plain,
% 1.06/1.39 (greater(sigma, tau) <=> greater(sigma, tau)),
% 1.06/1.39 inference(rewrite,[status(thm)],[])).
% 1.06/1.39 tff(140,axiom,(greater(sigma, tau)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','theorem_10_80')).
% 1.06/1.39 tff(141,plain,
% 1.06/1.39 (greater(sigma, tau)),
% 1.06/1.39 inference(modus_ponens,[status(thm)],[140, 139])).
% 1.06/1.39 tff(142,plain,
% 1.06/1.39 (![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)))),
% 1.06/1.39 inference(rewrite,[status(thm)],[])).
% 1.06/1.39 tff(143,plain,
% 1.06/1.39 (![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)))),
% 1.06/1.39 inference(rewrite,[status(thm)],[])).
% 1.06/1.39 tff(144,plain,
% 1.06/1.39 (^[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))))),
% 1.06/1.39 inference(bind,[status(th)],[])).
% 1.06/1.39 tff(145,plain,
% 1.06/1.39 (![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)))),
% 1.06/1.39 inference(quant_intro,[status(thm)],[144])).
% 1.06/1.39 tff(146,axiom,(![B: $i, A: $i, C: $i] : (((~greater(A, B)) | (~greater(B, C))) | greater(A, C))), file('/export/starexec/sandbox2/benchmark/Axioms/MGT001-0.ax','meaning_postulate_greater_transitive_10')).
% 1.06/1.39 tff(147,plain,
% 1.06/1.39 (![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))),
% 1.06/1.39 inference(modus_ponens,[status(thm)],[146, 145])).
% 1.06/1.39 tff(148,plain,
% 1.06/1.39 (![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))),
% 1.06/1.39 inference(modus_ponens,[status(thm)],[147, 143])).
% 1.06/1.39 tff(149,plain,(
% 1.06/1.39 ![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))),
% 1.06/1.39 inference(skolemize,[status(sab)],[148])).
% 1.06/1.39 tff(150,plain,
% 1.06/1.39 (![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))),
% 1.06/1.39 inference(modus_ponens,[status(thm)],[149, 142])).
% 1.06/1.39 tff(151,plain,
% 1.06/1.39 (((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | ((~greater(sigma, tau)) | greater(age(sk3, sk5), tau) | (~greater(age(sk3, sk5), sigma)))) <=> ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (~greater(sigma, tau)) | greater(age(sk3, sk5), tau) | (~greater(age(sk3, sk5), sigma)))),
% 1.06/1.39 inference(rewrite,[status(thm)],[])).
% 1.06/1.39 tff(152,plain,
% 1.06/1.39 ((greater(age(sk3, sk5), tau) | (~greater(sigma, tau)) | (~greater(age(sk3, sk5), sigma))) <=> ((~greater(sigma, tau)) | greater(age(sk3, sk5), tau) | (~greater(age(sk3, sk5), sigma)))),
% 1.06/1.39 inference(rewrite,[status(thm)],[])).
% 1.06/1.39 tff(153,plain,
% 1.06/1.39 (((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(age(sk3, sk5), tau) | (~greater(sigma, tau)) | (~greater(age(sk3, sk5), sigma)))) <=> ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | ((~greater(sigma, tau)) | greater(age(sk3, sk5), tau) | (~greater(age(sk3, sk5), sigma))))),
% 1.06/1.40 inference(monotonicity,[status(thm)],[152])).
% 1.06/1.40 tff(154,plain,
% 1.06/1.40 (((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(age(sk3, sk5), tau) | (~greater(sigma, tau)) | (~greater(age(sk3, sk5), sigma)))) <=> ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (~greater(sigma, tau)) | greater(age(sk3, sk5), tau) | (~greater(age(sk3, sk5), sigma)))),
% 1.06/1.40 inference(transitivity,[status(thm)],[153, 151])).
% 1.06/1.40 tff(155,plain,
% 1.06/1.40 ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(age(sk3, sk5), tau) | (~greater(sigma, tau)) | (~greater(age(sk3, sk5), sigma)))),
% 1.06/1.40 inference(quant_inst,[status(thm)],[])).
% 1.06/1.40 tff(156,plain,
% 1.06/1.40 ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (~greater(sigma, tau)) | greater(age(sk3, sk5), tau) | (~greater(age(sk3, sk5), sigma))),
% 1.06/1.40 inference(modus_ponens,[status(thm)],[155, 154])).
% 1.06/1.40 tff(157,plain,
% 1.06/1.40 ($false),
% 1.06/1.40 inference(unit_resolution,[status(thm)],[156, 150, 141, 138, 110])).
% 1.06/1.40 tff(158,plain,(~greater(age(sk3, sk5), sigma)), inference(lemma,lemma(discharge,[]))).
% 1.06/1.40 tff(159,assumption,(dissimilar(sk3, sk4, sk5)), introduced(assumption)).
% 1.06/1.40 tff(160,plain,
% 1.06/1.40 (^[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))))),
% 1.06/1.40 inference(bind,[status(th)],[])).
% 1.06/1.40 tff(161,plain,
% 1.06/1.40 (![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)))),
% 1.06/1.40 inference(quant_intro,[status(thm)],[160])).
% 1.06/1.40 tff(162,plain,
% 1.06/1.40 (![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)))),
% 1.16/1.40 inference(rewrite,[status(thm)],[])).
% 1.16/1.40 tff(163,plain,
% 1.16/1.40 (^[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)))))),
% 1.16/1.40 inference(bind,[status(th)],[])).
% 1.16/1.40 tff(164,plain,
% 1.16/1.40 (![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)))),
% 1.16/1.40 inference(quant_intro,[status(thm)],[163])).
% 1.16/1.40 tff(165,axiom,(![B: $i, A: $i, C: $i] : ((((~organization(A)) | (~(age(A, B) = zero))) | (~dissimilar(A, B, C))) | greater(age(A, C), sigma))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','assumption_15_56')).
% 1.16/1.40 tff(166,plain,
% 1.16/1.40 (![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = zero)))),
% 1.16/1.40 inference(modus_ponens,[status(thm)],[165, 164])).
% 1.16/1.40 tff(167,plain,
% 1.16/1.40 (![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = zero)))),
% 1.16/1.40 inference(modus_ponens,[status(thm)],[166, 162])).
% 1.16/1.40 tff(168,plain,(
% 1.16/1.40 ![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = zero)))),
% 1.16/1.40 inference(skolemize,[status(sab)],[167])).
% 1.16/1.40 tff(169,plain,
% 1.16/1.40 (![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = zero)))),
% 1.16/1.40 inference(modus_ponens,[status(thm)],[168, 161])).
% 1.16/1.40 tff(170,plain,
% 1.16/1.40 (((~![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = zero)))) | ((~organization(sk3)) | (~(age(sk3, sk4) = zero)) | greater(age(sk3, sk5), sigma) | (~dissimilar(sk3, sk4, sk5)))) <=> ((~![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = zero)))) | (~organization(sk3)) | (~(age(sk3, sk4) = zero)) | greater(age(sk3, sk5), sigma) | (~dissimilar(sk3, sk4, sk5)))),
% 1.16/1.40 inference(rewrite,[status(thm)],[])).
% 1.16/1.40 tff(171,plain,
% 1.16/1.40 (((~dissimilar(sk3, sk4, sk5)) | (~organization(sk3)) | greater(age(sk3, sk5), sigma) | (~(age(sk3, sk4) = zero))) <=> ((~organization(sk3)) | (~(age(sk3, sk4) = zero)) | greater(age(sk3, sk5), sigma) | (~dissimilar(sk3, sk4, sk5)))),
% 1.16/1.40 inference(rewrite,[status(thm)],[])).
% 1.16/1.40 tff(172,plain,
% 1.16/1.40 (((~![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = zero)))) | ((~dissimilar(sk3, sk4, sk5)) | (~organization(sk3)) | greater(age(sk3, sk5), sigma) | (~(age(sk3, sk4) = zero)))) <=> ((~![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = zero)))) | ((~organization(sk3)) | (~(age(sk3, sk4) = zero)) | greater(age(sk3, sk5), sigma) | (~dissimilar(sk3, sk4, sk5))))),
% 1.16/1.40 inference(monotonicity,[status(thm)],[171])).
% 1.16/1.40 tff(173,plain,
% 1.16/1.40 (((~![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = zero)))) | ((~dissimilar(sk3, sk4, sk5)) | (~organization(sk3)) | greater(age(sk3, sk5), sigma) | (~(age(sk3, sk4) = zero)))) <=> ((~![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = zero)))) | (~organization(sk3)) | (~(age(sk3, sk4) = zero)) | greater(age(sk3, sk5), sigma) | (~dissimilar(sk3, sk4, sk5)))),
% 1.16/1.40 inference(transitivity,[status(thm)],[172, 170])).
% 1.16/1.40 tff(174,plain,
% 1.16/1.40 ((~![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = zero)))) | ((~dissimilar(sk3, sk4, sk5)) | (~organization(sk3)) | greater(age(sk3, sk5), sigma) | (~(age(sk3, sk4) = zero)))),
% 1.16/1.40 inference(quant_inst,[status(thm)],[])).
% 1.16/1.40 tff(175,plain,
% 1.16/1.40 ((~![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = zero)))) | (~organization(sk3)) | (~(age(sk3, sk4) = zero)) | greater(age(sk3, sk5), sigma) | (~dissimilar(sk3, sk4, sk5))),
% 1.16/1.40 inference(modus_ponens,[status(thm)],[174, 173])).
% 1.16/1.40 tff(176,plain,
% 1.16/1.40 ($false),
% 1.16/1.40 inference(unit_resolution,[status(thm)],[175, 169, 7, 28, 159, 158])).
% 1.16/1.40 tff(177,plain,(~dissimilar(sk3, sk4, sk5)), inference(lemma,lemma(discharge,[]))).
% 1.16/1.40 tff(178,plain,
% 1.16/1.40 (^[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))))),
% 1.16/1.40 inference(bind,[status(th)],[])).
% 1.16/1.40 tff(179,plain,
% 1.16/1.40 (![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)))),
% 1.16/1.40 inference(quant_intro,[status(thm)],[178])).
% 1.16/1.40 tff(180,plain,
% 1.16/1.40 (![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)))),
% 1.16/1.40 inference(rewrite,[status(thm)],[])).
% 1.16/1.40 tff(181,plain,
% 1.16/1.40 (^[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)))))),
% 1.16/1.41 inference(bind,[status(th)],[])).
% 1.16/1.41 tff(182,plain,
% 1.16/1.41 (![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)))),
% 1.16/1.41 inference(quant_intro,[status(thm)],[181])).
% 1.16/1.41 tff(183,axiom,(![B: $i, A: $i, C: $i] : ((((~organization(A)) | (~is_aligned(A, B))) | is_aligned(A, C)) | dissimilar(A, B, C))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','definition_2_51')).
% 1.16/1.41 tff(184,plain,
% 1.16/1.41 (![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | is_aligned(A, C) | (~is_aligned(A, B)) | (~organization(A)))),
% 1.16/1.41 inference(modus_ponens,[status(thm)],[183, 182])).
% 1.16/1.41 tff(185,plain,
% 1.16/1.41 (![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | is_aligned(A, C) | (~is_aligned(A, B)) | (~organization(A)))),
% 1.16/1.41 inference(modus_ponens,[status(thm)],[184, 180])).
% 1.16/1.41 tff(186,plain,(
% 1.16/1.41 ![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | is_aligned(A, C) | (~is_aligned(A, B)) | (~organization(A)))),
% 1.16/1.41 inference(skolemize,[status(sab)],[185])).
% 1.16/1.41 tff(187,plain,
% 1.16/1.41 (![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | is_aligned(A, C) | (~is_aligned(A, B)) | (~organization(A)))),
% 1.16/1.41 inference(modus_ponens,[status(thm)],[186, 179])).
% 1.16/1.41 tff(188,plain,
% 1.16/1.41 (((~![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | is_aligned(A, C) | (~is_aligned(A, B)) | (~organization(A)))) | ((~organization(sk3)) | is_aligned(sk3, sk5) | (~is_aligned(sk3, sk4)) | dissimilar(sk3, sk4, sk5))) <=> ((~![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | is_aligned(A, C) | (~is_aligned(A, B)) | (~organization(A)))) | (~organization(sk3)) | is_aligned(sk3, sk5) | (~is_aligned(sk3, sk4)) | dissimilar(sk3, sk4, sk5))),
% 1.16/1.41 inference(rewrite,[status(thm)],[])).
% 1.16/1.41 tff(189,plain,
% 1.16/1.41 ((dissimilar(sk3, sk4, sk5) | is_aligned(sk3, sk5) | (~is_aligned(sk3, sk4)) | (~organization(sk3))) <=> ((~organization(sk3)) | is_aligned(sk3, sk5) | (~is_aligned(sk3, sk4)) | dissimilar(sk3, sk4, sk5))),
% 1.16/1.41 inference(rewrite,[status(thm)],[])).
% 1.16/1.41 tff(190,plain,
% 1.16/1.41 (((~![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | is_aligned(A, C) | (~is_aligned(A, B)) | (~organization(A)))) | (dissimilar(sk3, sk4, sk5) | is_aligned(sk3, sk5) | (~is_aligned(sk3, sk4)) | (~organization(sk3)))) <=> ((~![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | is_aligned(A, C) | (~is_aligned(A, B)) | (~organization(A)))) | ((~organization(sk3)) | is_aligned(sk3, sk5) | (~is_aligned(sk3, sk4)) | dissimilar(sk3, sk4, sk5)))),
% 1.16/1.41 inference(monotonicity,[status(thm)],[189])).
% 1.16/1.41 tff(191,plain,
% 1.16/1.41 (((~![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | is_aligned(A, C) | (~is_aligned(A, B)) | (~organization(A)))) | (dissimilar(sk3, sk4, sk5) | is_aligned(sk3, sk5) | (~is_aligned(sk3, sk4)) | (~organization(sk3)))) <=> ((~![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | is_aligned(A, C) | (~is_aligned(A, B)) | (~organization(A)))) | (~organization(sk3)) | is_aligned(sk3, sk5) | (~is_aligned(sk3, sk4)) | dissimilar(sk3, sk4, sk5))),
% 1.16/1.41 inference(transitivity,[status(thm)],[190, 188])).
% 1.16/1.41 tff(192,plain,
% 1.16/1.41 ((~![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | is_aligned(A, C) | (~is_aligned(A, B)) | (~organization(A)))) | (dissimilar(sk3, sk4, sk5) | is_aligned(sk3, sk5) | (~is_aligned(sk3, sk4)) | (~organization(sk3)))),
% 1.16/1.41 inference(quant_inst,[status(thm)],[])).
% 1.16/1.41 tff(193,plain,
% 1.16/1.41 ((~![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | is_aligned(A, C) | (~is_aligned(A, B)) | (~organization(A)))) | (~organization(sk3)) | is_aligned(sk3, sk5) | (~is_aligned(sk3, sk4)) | dissimilar(sk3, sk4, sk5)),
% 1.16/1.41 inference(modus_ponens,[status(thm)],[192, 191])).
% 1.16/1.41 tff(194,plain,
% 1.16/1.41 (is_aligned(sk3, sk5) | dissimilar(sk3, sk4, sk5)),
% 1.16/1.41 inference(unit_resolution,[status(thm)],[193, 187, 7, 88])).
% 1.16/1.41 tff(195,plain,
% 1.16/1.41 (is_aligned(sk3, sk5)),
% 1.16/1.41 inference(unit_resolution,[status(thm)],[194, 177])).
% 1.16/1.41 tff(196,assumption,(has_immunity(sk3, sk5)), introduced(assumption)).
% 1.16/1.41 tff(197,plain,
% 1.16/1.41 (((~![B: $i, A: $i] : (has_endowment(A) | (~has_immunity(A, B)) | (~organization(A)))) | (has_endowment(sk3) | (~organization(sk3)) | (~has_immunity(sk3, sk5)))) <=> ((~![B: $i, A: $i] : (has_endowment(A) | (~has_immunity(A, B)) | (~organization(A)))) | has_endowment(sk3) | (~organization(sk3)) | (~has_immunity(sk3, sk5)))),
% 1.16/1.41 inference(rewrite,[status(thm)],[])).
% 1.16/1.41 tff(198,plain,
% 1.16/1.41 ((has_endowment(sk3) | (~has_immunity(sk3, sk5)) | (~organization(sk3))) <=> (has_endowment(sk3) | (~organization(sk3)) | (~has_immunity(sk3, sk5)))),
% 1.16/1.41 inference(rewrite,[status(thm)],[])).
% 1.16/1.41 tff(199,plain,
% 1.16/1.41 (((~![B: $i, A: $i] : (has_endowment(A) | (~has_immunity(A, B)) | (~organization(A)))) | (has_endowment(sk3) | (~has_immunity(sk3, sk5)) | (~organization(sk3)))) <=> ((~![B: $i, A: $i] : (has_endowment(A) | (~has_immunity(A, B)) | (~organization(A)))) | (has_endowment(sk3) | (~organization(sk3)) | (~has_immunity(sk3, sk5))))),
% 1.16/1.41 inference(monotonicity,[status(thm)],[198])).
% 1.16/1.41 tff(200,plain,
% 1.16/1.41 (((~![B: $i, A: $i] : (has_endowment(A) | (~has_immunity(A, B)) | (~organization(A)))) | (has_endowment(sk3) | (~has_immunity(sk3, sk5)) | (~organization(sk3)))) <=> ((~![B: $i, A: $i] : (has_endowment(A) | (~has_immunity(A, B)) | (~organization(A)))) | has_endowment(sk3) | (~organization(sk3)) | (~has_immunity(sk3, sk5)))),
% 1.16/1.41 inference(transitivity,[status(thm)],[199, 197])).
% 1.16/1.41 tff(201,plain,
% 1.16/1.41 ((~![B: $i, A: $i] : (has_endowment(A) | (~has_immunity(A, B)) | (~organization(A)))) | (has_endowment(sk3) | (~has_immunity(sk3, sk5)) | (~organization(sk3)))),
% 1.16/1.41 inference(quant_inst,[status(thm)],[])).
% 1.16/1.41 tff(202,plain,
% 1.16/1.41 ((~![B: $i, A: $i] : (has_endowment(A) | (~has_immunity(A, B)) | (~organization(A)))) | has_endowment(sk3) | (~organization(sk3)) | (~has_immunity(sk3, sk5))),
% 1.16/1.41 inference(modus_ponens,[status(thm)],[201, 200])).
% 1.16/1.41 tff(203,plain,
% 1.16/1.41 ($false),
% 1.16/1.41 inference(unit_resolution,[status(thm)],[202, 17, 7, 4, 196])).
% 1.16/1.41 tff(204,plain,(~has_immunity(sk3, sk5)), inference(lemma,lemma(discharge,[]))).
% 1.16/1.41 tff(205,plain,
% 1.16/1.41 (((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | (~is_aligned(A, B)) | (hazard_of_mortality(A, B) = mod2))) | ((~organization(sk3)) | positional_advantage(sk3, sk5) | has_immunity(sk3, sk5) | (~is_aligned(sk3, sk5)) | (hazard_of_mortality(sk3, sk5) = mod2))) <=> ((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | (~is_aligned(A, B)) | (hazard_of_mortality(A, B) = mod2))) | (~organization(sk3)) | positional_advantage(sk3, sk5) | has_immunity(sk3, sk5) | (~is_aligned(sk3, sk5)) | (hazard_of_mortality(sk3, sk5) = mod2))),
% 1.16/1.41 inference(rewrite,[status(thm)],[])).
% 1.16/1.41 tff(206,plain,
% 1.16/1.41 ((has_immunity(sk3, sk5) | (~organization(sk3)) | positional_advantage(sk3, sk5) | (~is_aligned(sk3, sk5)) | (hazard_of_mortality(sk3, sk5) = mod2)) <=> ((~organization(sk3)) | positional_advantage(sk3, sk5) | has_immunity(sk3, sk5) | (~is_aligned(sk3, sk5)) | (hazard_of_mortality(sk3, sk5) = mod2))),
% 1.16/1.41 inference(rewrite,[status(thm)],[])).
% 1.16/1.41 tff(207,plain,
% 1.16/1.41 (((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | (~is_aligned(A, B)) | (hazard_of_mortality(A, B) = mod2))) | (has_immunity(sk3, sk5) | (~organization(sk3)) | positional_advantage(sk3, sk5) | (~is_aligned(sk3, sk5)) | (hazard_of_mortality(sk3, sk5) = mod2))) <=> ((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | (~is_aligned(A, B)) | (hazard_of_mortality(A, B) = mod2))) | ((~organization(sk3)) | positional_advantage(sk3, sk5) | has_immunity(sk3, sk5) | (~is_aligned(sk3, sk5)) | (hazard_of_mortality(sk3, sk5) = mod2)))),
% 1.16/1.42 inference(monotonicity,[status(thm)],[206])).
% 1.16/1.42 tff(208,plain,
% 1.16/1.42 (((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | (~is_aligned(A, B)) | (hazard_of_mortality(A, B) = mod2))) | (has_immunity(sk3, sk5) | (~organization(sk3)) | positional_advantage(sk3, sk5) | (~is_aligned(sk3, sk5)) | (hazard_of_mortality(sk3, sk5) = mod2))) <=> ((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | (~is_aligned(A, B)) | (hazard_of_mortality(A, B) = mod2))) | (~organization(sk3)) | positional_advantage(sk3, sk5) | has_immunity(sk3, sk5) | (~is_aligned(sk3, sk5)) | (hazard_of_mortality(sk3, sk5) = mod2))),
% 1.16/1.42 inference(transitivity,[status(thm)],[207, 205])).
% 1.16/1.42 tff(209,plain,
% 1.16/1.42 ((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | (~is_aligned(A, B)) | (hazard_of_mortality(A, B) = mod2))) | (has_immunity(sk3, sk5) | (~organization(sk3)) | positional_advantage(sk3, sk5) | (~is_aligned(sk3, sk5)) | (hazard_of_mortality(sk3, sk5) = mod2))),
% 1.16/1.42 inference(quant_inst,[status(thm)],[])).
% 1.16/1.42 tff(210,plain,
% 1.16/1.42 ((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | (~is_aligned(A, B)) | (hazard_of_mortality(A, B) = mod2))) | (~organization(sk3)) | positional_advantage(sk3, sk5) | has_immunity(sk3, sk5) | (~is_aligned(sk3, sk5)) | (hazard_of_mortality(sk3, sk5) = mod2)),
% 1.16/1.42 inference(modus_ponens,[status(thm)],[209, 208])).
% 1.16/1.42 tff(211,plain,
% 1.16/1.42 (has_immunity(sk3, sk5) | (~is_aligned(sk3, sk5)) | (hazard_of_mortality(sk3, sk5) = mod2)),
% 1.16/1.42 inference(unit_resolution,[status(thm)],[210, 98, 7, 120])).
% 1.16/1.42 tff(212,plain,
% 1.16/1.42 ((~is_aligned(sk3, sk5)) | (hazard_of_mortality(sk3, sk5) = mod2)),
% 1.16/1.42 inference(unit_resolution,[status(thm)],[211, 204])).
% 1.16/1.42 tff(213,plain,
% 1.16/1.42 (hazard_of_mortality(sk3, sk5) = mod2),
% 1.16/1.42 inference(unit_resolution,[status(thm)],[212, 195])).
% 1.16/1.42 tff(214,plain,
% 1.16/1.42 (hazard_of_mortality(sk3, sk5) = hazard_of_mortality(sk3, sk4)),
% 1.16/1.42 inference(modus_ponens,[status(thm)],[213, 109])).
% 1.16/1.42 tff(215,assumption,(~smaller(hazard_of_mortality(sk3, sk7), hazard_of_mortality(sk3, sk5))), introduced(assumption)).
% 1.16/1.42 tff(216,assumption,(hazard_of_mortality(sk3, sk5) = mod2), introduced(assumption)).
% 1.16/1.42 tff(217,assumption,(hazard_of_mortality(sk3, sk7) = low), introduced(assumption)).
% 1.16/1.42 tff(218,plain,
% 1.16/1.42 (smaller(hazard_of_mortality(sk3, sk7), hazard_of_mortality(sk3, sk5)) <=> smaller(low, mod2)),
% 1.16/1.42 inference(monotonicity,[status(thm)],[217, 216])).
% 1.16/1.42 tff(219,plain,
% 1.16/1.42 (smaller(low, mod2) <=> smaller(hazard_of_mortality(sk3, sk7), hazard_of_mortality(sk3, sk5))),
% 1.16/1.42 inference(symmetry,[status(thm)],[218])).
% 1.16/1.42 tff(220,plain,
% 1.16/1.42 (greater(mod2, low) <=> greater(mod2, low)),
% 1.16/1.42 inference(rewrite,[status(thm)],[])).
% 1.16/1.42 tff(221,axiom,(greater(mod2, low)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','assumption_18e_72')).
% 1.16/1.42 tff(222,plain,
% 1.16/1.42 (greater(mod2, low)),
% 1.16/1.42 inference(modus_ponens,[status(thm)],[221, 220])).
% 1.16/1.42 tff(223,plain,
% 1.16/1.42 (((~![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))) | ((~greater(mod2, low)) | smaller(low, mod2))) <=> ((~![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))) | (~greater(mod2, low)) | smaller(low, mod2))),
% 1.16/1.42 inference(rewrite,[status(thm)],[])).
% 1.16/1.42 tff(224,plain,
% 1.16/1.42 ((~![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))) | ((~greater(mod2, low)) | smaller(low, mod2))),
% 1.16/1.42 inference(quant_inst,[status(thm)],[])).
% 1.16/1.42 tff(225,plain,
% 1.16/1.42 ((~![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))) | (~greater(mod2, low)) | smaller(low, mod2)),
% 1.16/1.42 inference(modus_ponens,[status(thm)],[224, 223])).
% 1.16/1.42 tff(226,plain,
% 1.16/1.42 (smaller(low, mod2)),
% 1.16/1.42 inference(unit_resolution,[status(thm)],[225, 40, 222])).
% 1.16/1.42 tff(227,plain,
% 1.16/1.42 (smaller(hazard_of_mortality(sk3, sk7), hazard_of_mortality(sk3, sk5))),
% 1.16/1.42 inference(modus_ponens,[status(thm)],[226, 219])).
% 1.16/1.42 tff(228,plain,
% 1.16/1.42 ($false),
% 1.16/1.42 inference(unit_resolution,[status(thm)],[215, 227])).
% 1.16/1.42 tff(229,plain,((~(hazard_of_mortality(sk3, sk7) = low)) | smaller(hazard_of_mortality(sk3, sk7), hazard_of_mortality(sk3, sk5)) | (~(hazard_of_mortality(sk3, sk5) = mod2))), inference(lemma,lemma(discharge,[]))).
% 1.16/1.42 tff(230,plain,
% 1.16/1.42 (~(hazard_of_mortality(sk3, sk7) = low)),
% 1.16/1.42 inference(unit_resolution,[status(thm)],[229, 216, 215])).
% 1.16/1.42 tff(231,assumption,(has_immunity(sk3, sk7)), introduced(assumption)).
% 1.16/1.42 tff(232,plain,
% 1.16/1.42 (((~![B: $i, A: $i] : (has_endowment(A) | (~has_immunity(A, B)) | (~organization(A)))) | (has_endowment(sk3) | (~organization(sk3)) | (~has_immunity(sk3, sk7)))) <=> ((~![B: $i, A: $i] : (has_endowment(A) | (~has_immunity(A, B)) | (~organization(A)))) | has_endowment(sk3) | (~organization(sk3)) | (~has_immunity(sk3, sk7)))),
% 1.16/1.42 inference(rewrite,[status(thm)],[])).
% 1.16/1.42 tff(233,plain,
% 1.16/1.42 ((has_endowment(sk3) | (~has_immunity(sk3, sk7)) | (~organization(sk3))) <=> (has_endowment(sk3) | (~organization(sk3)) | (~has_immunity(sk3, sk7)))),
% 1.16/1.42 inference(rewrite,[status(thm)],[])).
% 1.16/1.42 tff(234,plain,
% 1.16/1.42 (((~![B: $i, A: $i] : (has_endowment(A) | (~has_immunity(A, B)) | (~organization(A)))) | (has_endowment(sk3) | (~has_immunity(sk3, sk7)) | (~organization(sk3)))) <=> ((~![B: $i, A: $i] : (has_endowment(A) | (~has_immunity(A, B)) | (~organization(A)))) | (has_endowment(sk3) | (~organization(sk3)) | (~has_immunity(sk3, sk7))))),
% 1.16/1.42 inference(monotonicity,[status(thm)],[233])).
% 1.16/1.42 tff(235,plain,
% 1.16/1.42 (((~![B: $i, A: $i] : (has_endowment(A) | (~has_immunity(A, B)) | (~organization(A)))) | (has_endowment(sk3) | (~has_immunity(sk3, sk7)) | (~organization(sk3)))) <=> ((~![B: $i, A: $i] : (has_endowment(A) | (~has_immunity(A, B)) | (~organization(A)))) | has_endowment(sk3) | (~organization(sk3)) | (~has_immunity(sk3, sk7)))),
% 1.16/1.42 inference(transitivity,[status(thm)],[234, 232])).
% 1.16/1.42 tff(236,plain,
% 1.16/1.42 ((~![B: $i, A: $i] : (has_endowment(A) | (~has_immunity(A, B)) | (~organization(A)))) | (has_endowment(sk3) | (~has_immunity(sk3, sk7)) | (~organization(sk3)))),
% 1.16/1.42 inference(quant_inst,[status(thm)],[])).
% 1.16/1.42 tff(237,plain,
% 1.16/1.42 ((~![B: $i, A: $i] : (has_endowment(A) | (~has_immunity(A, B)) | (~organization(A)))) | has_endowment(sk3) | (~organization(sk3)) | (~has_immunity(sk3, sk7))),
% 1.16/1.42 inference(modus_ponens,[status(thm)],[236, 235])).
% 1.16/1.42 tff(238,plain,
% 1.16/1.42 ($false),
% 1.16/1.42 inference(unit_resolution,[status(thm)],[237, 17, 7, 4, 231])).
% 1.16/1.42 tff(239,plain,(~has_immunity(sk3, sk7)), inference(lemma,lemma(discharge,[]))).
% 1.16/1.42 tff(240,plain,
% 1.16/1.42 (greater(age(sk3, sk7), sigma) <=> greater(age(sk3, sk7), sigma)),
% 1.16/1.42 inference(rewrite,[status(thm)],[])).
% 1.16/1.42 tff(241,axiom,(greater(age(sk3, sk7), sigma)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','theorem_10_84')).
% 1.16/1.42 tff(242,plain,
% 1.16/1.42 (greater(age(sk3, sk7), sigma)),
% 1.16/1.42 inference(modus_ponens,[status(thm)],[241, 240])).
% 1.16/1.42 tff(243,plain,
% 1.16/1.42 (((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | ((~greater(sigma, tau)) | (~greater(age(sk3, sk7), sigma)) | greater(age(sk3, sk7), tau))) <=> ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (~greater(sigma, tau)) | (~greater(age(sk3, sk7), sigma)) | greater(age(sk3, sk7), tau))),
% 1.16/1.42 inference(rewrite,[status(thm)],[])).
% 1.16/1.42 tff(244,plain,
% 1.16/1.42 ((greater(age(sk3, sk7), tau) | (~greater(sigma, tau)) | (~greater(age(sk3, sk7), sigma))) <=> ((~greater(sigma, tau)) | (~greater(age(sk3, sk7), sigma)) | greater(age(sk3, sk7), tau))),
% 1.16/1.42 inference(rewrite,[status(thm)],[])).
% 1.16/1.42 tff(245,plain,
% 1.16/1.42 (((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(age(sk3, sk7), tau) | (~greater(sigma, tau)) | (~greater(age(sk3, sk7), sigma)))) <=> ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | ((~greater(sigma, tau)) | (~greater(age(sk3, sk7), sigma)) | greater(age(sk3, sk7), tau)))),
% 1.16/1.42 inference(monotonicity,[status(thm)],[244])).
% 1.16/1.42 tff(246,plain,
% 1.16/1.42 (((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(age(sk3, sk7), tau) | (~greater(sigma, tau)) | (~greater(age(sk3, sk7), sigma)))) <=> ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (~greater(sigma, tau)) | (~greater(age(sk3, sk7), sigma)) | greater(age(sk3, sk7), tau))),
% 1.16/1.43 inference(transitivity,[status(thm)],[245, 243])).
% 1.16/1.43 tff(247,plain,
% 1.16/1.43 ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(age(sk3, sk7), tau) | (~greater(sigma, tau)) | (~greater(age(sk3, sk7), sigma)))),
% 1.16/1.43 inference(quant_inst,[status(thm)],[])).
% 1.16/1.43 tff(248,plain,
% 1.16/1.43 ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (~greater(sigma, tau)) | (~greater(age(sk3, sk7), sigma)) | greater(age(sk3, sk7), tau)),
% 1.16/1.43 inference(modus_ponens,[status(thm)],[247, 246])).
% 1.16/1.43 tff(249,plain,
% 1.16/1.43 (greater(age(sk3, sk7), tau)),
% 1.16/1.43 inference(unit_resolution,[status(thm)],[248, 150, 141, 242])).
% 1.16/1.43 tff(250,plain,
% 1.16/1.43 (((~![B: $i, A: $i] : (positional_advantage(A, B) | (~robust_position(A)) | (~greater(age(A, B), tau)))) | ((~robust_position(sk3)) | positional_advantage(sk3, sk7) | (~greater(age(sk3, sk7), tau)))) <=> ((~![B: $i, A: $i] : (positional_advantage(A, B) | (~robust_position(A)) | (~greater(age(A, B), tau)))) | (~robust_position(sk3)) | positional_advantage(sk3, sk7) | (~greater(age(sk3, sk7), tau)))),
% 1.16/1.43 inference(rewrite,[status(thm)],[])).
% 1.16/1.43 tff(251,plain,
% 1.16/1.43 ((positional_advantage(sk3, sk7) | (~robust_position(sk3)) | (~greater(age(sk3, sk7), tau))) <=> ((~robust_position(sk3)) | positional_advantage(sk3, sk7) | (~greater(age(sk3, sk7), tau)))),
% 1.16/1.43 inference(rewrite,[status(thm)],[])).
% 1.16/1.43 tff(252,plain,
% 1.16/1.43 (((~![B: $i, A: $i] : (positional_advantage(A, B) | (~robust_position(A)) | (~greater(age(A, B), tau)))) | (positional_advantage(sk3, sk7) | (~robust_position(sk3)) | (~greater(age(sk3, sk7), tau)))) <=> ((~![B: $i, A: $i] : (positional_advantage(A, B) | (~robust_position(A)) | (~greater(age(A, B), tau)))) | ((~robust_position(sk3)) | positional_advantage(sk3, sk7) | (~greater(age(sk3, sk7), tau))))),
% 1.16/1.43 inference(monotonicity,[status(thm)],[251])).
% 1.16/1.43 tff(253,plain,
% 1.16/1.43 (((~![B: $i, A: $i] : (positional_advantage(A, B) | (~robust_position(A)) | (~greater(age(A, B), tau)))) | (positional_advantage(sk3, sk7) | (~robust_position(sk3)) | (~greater(age(sk3, sk7), tau)))) <=> ((~![B: $i, A: $i] : (positional_advantage(A, B) | (~robust_position(A)) | (~greater(age(A, B), tau)))) | (~robust_position(sk3)) | positional_advantage(sk3, sk7) | (~greater(age(sk3, sk7), tau)))),
% 1.16/1.43 inference(transitivity,[status(thm)],[252, 250])).
% 1.16/1.43 tff(254,plain,
% 1.16/1.43 ((~![B: $i, A: $i] : (positional_advantage(A, B) | (~robust_position(A)) | (~greater(age(A, B), tau)))) | (positional_advantage(sk3, sk7) | (~robust_position(sk3)) | (~greater(age(sk3, sk7), tau)))),
% 1.16/1.43 inference(quant_inst,[status(thm)],[])).
% 1.16/1.43 tff(255,plain,
% 1.16/1.43 ((~![B: $i, A: $i] : (positional_advantage(A, B) | (~robust_position(A)) | (~greater(age(A, B), tau)))) | (~robust_position(sk3)) | positional_advantage(sk3, sk7) | (~greater(age(sk3, sk7), tau))),
% 1.16/1.43 inference(modus_ponens,[status(thm)],[254, 253])).
% 1.16/1.43 tff(256,plain,
% 1.16/1.43 (positional_advantage(sk3, sk7)),
% 1.16/1.43 inference(unit_resolution,[status(thm)],[255, 130, 59, 249])).
% 1.16/1.43 tff(257,plain,
% 1.16/1.43 (^[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))))),
% 1.16/1.43 inference(bind,[status(th)],[])).
% 1.16/1.43 tff(258,plain,
% 1.16/1.43 (![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)))),
% 1.16/1.43 inference(quant_intro,[status(thm)],[257])).
% 1.16/1.43 tff(259,plain,
% 1.16/1.43 (![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)))),
% 1.16/1.43 inference(rewrite,[status(thm)],[])).
% 1.16/1.43 tff(260,plain,
% 1.16/1.43 (^[B: $i, A: $i] : trans(monotonicity(trans(monotonicity(rewrite((((~organization(A)) | has_immunity(A, B)) | (~is_aligned(A, B))) <=> (has_immunity(A, B) | (~organization(A)) | (~is_aligned(A, B)))), (((((~organization(A)) | has_immunity(A, B)) | (~is_aligned(A, B))) | (~positional_advantage(A, B))) <=> ((has_immunity(A, B) | (~organization(A)) | (~is_aligned(A, B))) | (~positional_advantage(A, B))))), rewrite(((has_immunity(A, B) | (~organization(A)) | (~is_aligned(A, B))) | (~positional_advantage(A, B))) <=> (has_immunity(A, B) | (~organization(A)) | (~positional_advantage(A, B)) | (~is_aligned(A, B)))), (((((~organization(A)) | has_immunity(A, B)) | (~is_aligned(A, B))) | (~positional_advantage(A, B))) <=> (has_immunity(A, B) | (~organization(A)) | (~positional_advantage(A, B)) | (~is_aligned(A, B))))), ((((((~organization(A)) | has_immunity(A, B)) | (~is_aligned(A, B))) | (~positional_advantage(A, B))) | (hazard_of_mortality(A, B) = low)) <=> ((has_immunity(A, B) | (~organization(A)) | (~positional_advantage(A, B)) | (~is_aligned(A, B))) | (hazard_of_mortality(A, B) = low)))), rewrite(((has_immunity(A, B) | (~organization(A)) | (~positional_advantage(A, B)) | (~is_aligned(A, B))) | (hazard_of_mortality(A, B) = low)) <=> (has_immunity(A, B) | (~organization(A)) | (~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)))))),
% 1.16/1.43 inference(bind,[status(th)],[])).
% 1.16/1.43 tff(261,plain,
% 1.16/1.43 (![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)))),
% 1.16/1.43 inference(quant_intro,[status(thm)],[260])).
% 1.16/1.43 tff(262,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/sandbox2/benchmark/theBenchmark.p','assumption_17_64')).
% 1.16/1.43 tff(263,plain,
% 1.16/1.43 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = low) | (~is_aligned(A, B)))),
% 1.16/1.43 inference(modus_ponens,[status(thm)],[262, 261])).
% 1.16/1.43 tff(264,plain,
% 1.16/1.43 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = low) | (~is_aligned(A, B)))),
% 1.16/1.43 inference(modus_ponens,[status(thm)],[263, 259])).
% 1.16/1.43 tff(265,plain,(
% 1.16/1.43 ![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = low) | (~is_aligned(A, B)))),
% 1.16/1.43 inference(skolemize,[status(sab)],[264])).
% 1.16/1.43 tff(266,plain,
% 1.16/1.43 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = low) | (~is_aligned(A, B)))),
% 1.16/1.43 inference(modus_ponens,[status(thm)],[265, 258])).
% 1.16/1.43 tff(267,plain,
% 1.16/1.43 (((~![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(sk3)) | (~positional_advantage(sk3, sk7)) | has_immunity(sk3, sk7) | (hazard_of_mortality(sk3, sk7) = low) | (~is_aligned(sk3, sk7)))) <=> ((~![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(sk3)) | (~positional_advantage(sk3, sk7)) | has_immunity(sk3, sk7) | (hazard_of_mortality(sk3, sk7) = low) | (~is_aligned(sk3, sk7)))),
% 1.16/1.43 inference(rewrite,[status(thm)],[])).
% 1.16/1.43 tff(268,plain,
% 1.16/1.43 ((has_immunity(sk3, sk7) | (~organization(sk3)) | (~positional_advantage(sk3, sk7)) | (hazard_of_mortality(sk3, sk7) = low) | (~is_aligned(sk3, sk7))) <=> ((~organization(sk3)) | (~positional_advantage(sk3, sk7)) | has_immunity(sk3, sk7) | (hazard_of_mortality(sk3, sk7) = low) | (~is_aligned(sk3, sk7)))),
% 1.16/1.43 inference(rewrite,[status(thm)],[])).
% 1.16/1.43 tff(269,plain,
% 1.16/1.43 (((~![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(sk3, sk7) | (~organization(sk3)) | (~positional_advantage(sk3, sk7)) | (hazard_of_mortality(sk3, sk7) = low) | (~is_aligned(sk3, sk7)))) <=> ((~![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(sk3)) | (~positional_advantage(sk3, sk7)) | has_immunity(sk3, sk7) | (hazard_of_mortality(sk3, sk7) = low) | (~is_aligned(sk3, sk7))))),
% 1.16/1.43 inference(monotonicity,[status(thm)],[268])).
% 1.16/1.43 tff(270,plain,
% 1.16/1.43 (((~![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(sk3, sk7) | (~organization(sk3)) | (~positional_advantage(sk3, sk7)) | (hazard_of_mortality(sk3, sk7) = low) | (~is_aligned(sk3, sk7)))) <=> ((~![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(sk3)) | (~positional_advantage(sk3, sk7)) | has_immunity(sk3, sk7) | (hazard_of_mortality(sk3, sk7) = low) | (~is_aligned(sk3, sk7)))),
% 1.16/1.43 inference(transitivity,[status(thm)],[269, 267])).
% 1.16/1.43 tff(271,plain,
% 1.16/1.43 ((~![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(sk3, sk7) | (~organization(sk3)) | (~positional_advantage(sk3, sk7)) | (hazard_of_mortality(sk3, sk7) = low) | (~is_aligned(sk3, sk7)))),
% 1.16/1.43 inference(quant_inst,[status(thm)],[])).
% 1.16/1.43 tff(272,plain,
% 1.16/1.43 ((~![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(sk3)) | (~positional_advantage(sk3, sk7)) | has_immunity(sk3, sk7) | (hazard_of_mortality(sk3, sk7) = low) | (~is_aligned(sk3, sk7))),
% 1.16/1.43 inference(modus_ponens,[status(thm)],[271, 270])).
% 1.16/1.43 tff(273,plain,
% 1.16/1.43 (has_immunity(sk3, sk7) | (hazard_of_mortality(sk3, sk7) = low) | (~is_aligned(sk3, sk7))),
% 1.16/1.43 inference(unit_resolution,[status(thm)],[272, 266, 7, 256])).
% 1.16/1.43 tff(274,plain,
% 1.16/1.43 ((hazard_of_mortality(sk3, sk7) = low) | (~is_aligned(sk3, sk7))),
% 1.16/1.43 inference(unit_resolution,[status(thm)],[273, 239])).
% 1.16/1.43 tff(275,plain,
% 1.16/1.43 (~is_aligned(sk3, sk7)),
% 1.16/1.43 inference(unit_resolution,[status(thm)],[274, 230])).
% 1.16/1.43 tff(276,plain,
% 1.16/1.43 (^[B: $i, A: $i] : refl((has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = mod1)) <=> (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = mod1)))),
% 1.16/1.43 inference(bind,[status(th)],[])).
% 1.16/1.43 tff(277,plain,
% 1.16/1.43 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = mod1)) <=> ![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = mod1))),
% 1.16/1.43 inference(quant_intro,[status(thm)],[276])).
% 1.16/1.43 tff(278,plain,
% 1.16/1.43 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = mod1)) <=> ![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = mod1))),
% 1.16/1.43 inference(rewrite,[status(thm)],[])).
% 1.16/1.43 tff(279,plain,
% 1.16/1.43 (^[B: $i, A: $i] : trans(monotonicity(trans(monotonicity(rewrite((((~organization(A)) | has_immunity(A, B)) | is_aligned(A, B)) <=> (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B))), (((((~organization(A)) | has_immunity(A, B)) | is_aligned(A, B)) | (~positional_advantage(A, B))) <=> ((has_immunity(A, B) | (~organization(A)) | is_aligned(A, B)) | (~positional_advantage(A, B))))), rewrite(((has_immunity(A, B) | (~organization(A)) | is_aligned(A, B)) | (~positional_advantage(A, B))) <=> (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | (~positional_advantage(A, B)))), (((((~organization(A)) | has_immunity(A, B)) | is_aligned(A, B)) | (~positional_advantage(A, B))) <=> (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | (~positional_advantage(A, B))))), ((((((~organization(A)) | has_immunity(A, B)) | is_aligned(A, B)) | (~positional_advantage(A, B))) | (hazard_of_mortality(A, B) = mod1)) <=> ((has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | (~positional_advantage(A, B))) | (hazard_of_mortality(A, B) = mod1)))), rewrite(((has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | (~positional_advantage(A, B))) | (hazard_of_mortality(A, B) = mod1)) <=> (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = mod1))), ((((((~organization(A)) | has_immunity(A, B)) | is_aligned(A, B)) | (~positional_advantage(A, B))) | (hazard_of_mortality(A, B) = mod1)) <=> (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = mod1))))),
% 1.16/1.44 inference(bind,[status(th)],[])).
% 1.16/1.44 tff(280,plain,
% 1.16/1.44 (![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))),
% 1.16/1.44 inference(quant_intro,[status(thm)],[279])).
% 1.16/1.44 tff(281,axiom,(![B: $i, A: $i] : (((((~organization(A)) | has_immunity(A, B)) | is_aligned(A, B)) | (~positional_advantage(A, B))) | (hazard_of_mortality(A, B) = mod1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','assumption_17_65')).
% 1.16/1.44 tff(282,plain,
% 1.16/1.44 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = mod1))),
% 1.16/1.44 inference(modus_ponens,[status(thm)],[281, 280])).
% 1.16/1.44 tff(283,plain,
% 1.16/1.44 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = mod1))),
% 1.16/1.44 inference(modus_ponens,[status(thm)],[282, 278])).
% 1.16/1.44 tff(284,plain,(
% 1.16/1.44 ![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = mod1))),
% 1.16/1.44 inference(skolemize,[status(sab)],[283])).
% 1.16/1.44 tff(285,plain,
% 1.16/1.44 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = mod1))),
% 1.16/1.44 inference(modus_ponens,[status(thm)],[284, 277])).
% 1.16/1.44 tff(286,plain,
% 1.16/1.44 (((~![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(sk3)) | (~positional_advantage(sk3, sk7)) | is_aligned(sk3, sk7) | has_immunity(sk3, sk7) | (hazard_of_mortality(sk3, sk7) = 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(sk3)) | (~positional_advantage(sk3, sk7)) | is_aligned(sk3, sk7) | has_immunity(sk3, sk7) | (hazard_of_mortality(sk3, sk7) = mod1))),
% 1.16/1.44 inference(rewrite,[status(thm)],[])).
% 1.16/1.44 tff(287,plain,
% 1.16/1.44 ((has_immunity(sk3, sk7) | (~organization(sk3)) | is_aligned(sk3, sk7) | (~positional_advantage(sk3, sk7)) | (hazard_of_mortality(sk3, sk7) = mod1)) <=> ((~organization(sk3)) | (~positional_advantage(sk3, sk7)) | is_aligned(sk3, sk7) | has_immunity(sk3, sk7) | (hazard_of_mortality(sk3, sk7) = mod1))),
% 1.16/1.44 inference(rewrite,[status(thm)],[])).
% 1.16/1.44 tff(288,plain,
% 1.16/1.44 (((~![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(sk3, sk7) | (~organization(sk3)) | is_aligned(sk3, sk7) | (~positional_advantage(sk3, sk7)) | (hazard_of_mortality(sk3, sk7) = 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(sk3)) | (~positional_advantage(sk3, sk7)) | is_aligned(sk3, sk7) | has_immunity(sk3, sk7) | (hazard_of_mortality(sk3, sk7) = mod1)))),
% 1.16/1.44 inference(monotonicity,[status(thm)],[287])).
% 1.16/1.44 tff(289,plain,
% 1.16/1.44 (((~![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(sk3, sk7) | (~organization(sk3)) | is_aligned(sk3, sk7) | (~positional_advantage(sk3, sk7)) | (hazard_of_mortality(sk3, sk7) = 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(sk3)) | (~positional_advantage(sk3, sk7)) | is_aligned(sk3, sk7) | has_immunity(sk3, sk7) | (hazard_of_mortality(sk3, sk7) = mod1))),
% 1.16/1.44 inference(transitivity,[status(thm)],[288, 286])).
% 1.16/1.44 tff(290,plain,
% 1.16/1.44 ((~![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(sk3, sk7) | (~organization(sk3)) | is_aligned(sk3, sk7) | (~positional_advantage(sk3, sk7)) | (hazard_of_mortality(sk3, sk7) = mod1))),
% 1.16/1.44 inference(quant_inst,[status(thm)],[])).
% 1.16/1.44 tff(291,plain,
% 1.16/1.44 ((~![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(sk3)) | (~positional_advantage(sk3, sk7)) | is_aligned(sk3, sk7) | has_immunity(sk3, sk7) | (hazard_of_mortality(sk3, sk7) = mod1)),
% 1.16/1.44 inference(modus_ponens,[status(thm)],[290, 289])).
% 1.16/1.44 tff(292,plain,
% 1.16/1.44 (is_aligned(sk3, sk7) | has_immunity(sk3, sk7) | (hazard_of_mortality(sk3, sk7) = mod1)),
% 1.16/1.44 inference(unit_resolution,[status(thm)],[291, 285, 7, 256])).
% 1.16/1.44 tff(293,plain,
% 1.16/1.44 (is_aligned(sk3, sk7) | (hazard_of_mortality(sk3, sk7) = mod1)),
% 1.16/1.44 inference(unit_resolution,[status(thm)],[292, 239])).
% 1.16/1.44 tff(294,plain,
% 1.16/1.44 (hazard_of_mortality(sk3, sk7) = mod1),
% 1.16/1.44 inference(unit_resolution,[status(thm)],[293, 275])).
% 1.16/1.44 tff(295,plain,
% 1.16/1.44 (smaller(hazard_of_mortality(sk3, sk7), hazard_of_mortality(sk3, sk5)) <=> smaller(mod1, mod2)),
% 1.16/1.44 inference(monotonicity,[status(thm)],[294, 216])).
% 1.16/1.44 tff(296,plain,
% 1.16/1.44 (smaller(mod1, mod2) <=> smaller(hazard_of_mortality(sk3, sk7), hazard_of_mortality(sk3, sk5))),
% 1.16/1.44 inference(symmetry,[status(thm)],[295])).
% 1.16/1.44 tff(297,plain,
% 1.16/1.44 (greater(mod2, mod1) <=> greater(mod2, mod1)),
% 1.16/1.44 inference(rewrite,[status(thm)],[])).
% 1.16/1.44 tff(298,axiom,(greater(mod2, mod1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','assumption_19_73')).
% 1.16/1.44 tff(299,plain,
% 1.16/1.44 (greater(mod2, mod1)),
% 1.16/1.44 inference(modus_ponens,[status(thm)],[298, 297])).
% 1.16/1.44 tff(300,plain,
% 1.16/1.44 (((~![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))) | ((~greater(mod2, mod1)) | smaller(mod1, mod2))) <=> ((~![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))) | (~greater(mod2, mod1)) | smaller(mod1, mod2))),
% 1.16/1.44 inference(rewrite,[status(thm)],[])).
% 1.16/1.44 tff(301,plain,
% 1.16/1.44 ((~![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))) | ((~greater(mod2, mod1)) | smaller(mod1, mod2))),
% 1.16/1.44 inference(quant_inst,[status(thm)],[])).
% 1.16/1.44 tff(302,plain,
% 1.16/1.44 ((~![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))) | (~greater(mod2, mod1)) | smaller(mod1, mod2)),
% 1.16/1.44 inference(modus_ponens,[status(thm)],[301, 300])).
% 1.16/1.44 tff(303,plain,
% 1.16/1.44 (smaller(mod1, mod2)),
% 1.16/1.44 inference(unit_resolution,[status(thm)],[302, 40, 299])).
% 1.16/1.44 tff(304,plain,
% 1.16/1.44 (smaller(hazard_of_mortality(sk3, sk7), hazard_of_mortality(sk3, sk5))),
% 1.16/1.44 inference(modus_ponens,[status(thm)],[303, 296])).
% 1.16/1.44 tff(305,plain,
% 1.16/1.44 ($false),
% 1.16/1.44 inference(unit_resolution,[status(thm)],[215, 304])).
% 1.16/1.44 tff(306,plain,((~(hazard_of_mortality(sk3, sk5) = mod2)) | smaller(hazard_of_mortality(sk3, sk7), hazard_of_mortality(sk3, sk5))), inference(lemma,lemma(discharge,[]))).
% 1.16/1.44 tff(307,plain,
% 1.16/1.44 (~(hazard_of_mortality(sk3, sk5) = mod2)),
% 1.16/1.44 inference(unit_resolution,[status(thm)],[306, 215])).
% 1.16/1.44 tff(308,plain,
% 1.16/1.44 (~is_aligned(sk3, sk5)),
% 1.16/1.44 inference(unit_resolution,[status(thm)],[211, 307, 204])).
% 1.16/1.44 tff(309,plain,
% 1.16/1.44 (^[B: $i, A: $i] : refl((has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | positional_advantage(A, B) | (hazard_of_mortality(A, B) = high)) <=> (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | positional_advantage(A, B) | (hazard_of_mortality(A, B) = high)))),
% 1.16/1.44 inference(bind,[status(th)],[])).
% 1.16/1.44 tff(310,plain,
% 1.16/1.44 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | positional_advantage(A, B) | (hazard_of_mortality(A, B) = high)) <=> ![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | positional_advantage(A, B) | (hazard_of_mortality(A, B) = high))),
% 1.16/1.44 inference(quant_intro,[status(thm)],[309])).
% 1.16/1.44 tff(311,plain,
% 1.16/1.44 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | positional_advantage(A, B) | (hazard_of_mortality(A, B) = high)) <=> ![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | positional_advantage(A, B) | (hazard_of_mortality(A, B) = high))),
% 1.16/1.44 inference(rewrite,[status(thm)],[])).
% 1.16/1.44 tff(312,plain,
% 1.16/1.44 (^[B: $i, A: $i] : trans(monotonicity(trans(monotonicity(rewrite((((~organization(A)) | has_immunity(A, B)) | is_aligned(A, B)) <=> (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B))), (((((~organization(A)) | has_immunity(A, B)) | is_aligned(A, B)) | positional_advantage(A, B)) <=> ((has_immunity(A, B) | (~organization(A)) | is_aligned(A, B)) | positional_advantage(A, B)))), rewrite(((has_immunity(A, B) | (~organization(A)) | is_aligned(A, B)) | positional_advantage(A, B)) <=> (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | positional_advantage(A, B))), (((((~organization(A)) | has_immunity(A, B)) | is_aligned(A, B)) | positional_advantage(A, B)) <=> (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | positional_advantage(A, B)))), ((((((~organization(A)) | has_immunity(A, B)) | is_aligned(A, B)) | positional_advantage(A, B)) | (hazard_of_mortality(A, B) = high)) <=> ((has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | positional_advantage(A, B)) | (hazard_of_mortality(A, B) = high)))), rewrite(((has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | positional_advantage(A, B)) | (hazard_of_mortality(A, B) = high)) <=> (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | positional_advantage(A, B) | (hazard_of_mortality(A, B) = high))), ((((((~organization(A)) | has_immunity(A, B)) | is_aligned(A, B)) | positional_advantage(A, B)) | (hazard_of_mortality(A, B) = high)) <=> (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | positional_advantage(A, B) | (hazard_of_mortality(A, B) = high))))),
% 1.16/1.44 inference(bind,[status(th)],[])).
% 1.16/1.44 tff(313,plain,
% 1.16/1.44 (![B: $i, A: $i] : (((((~organization(A)) | has_immunity(A, B)) | is_aligned(A, B)) | positional_advantage(A, B)) | (hazard_of_mortality(A, B) = high)) <=> ![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | positional_advantage(A, B) | (hazard_of_mortality(A, B) = high))),
% 1.16/1.44 inference(quant_intro,[status(thm)],[312])).
% 1.16/1.44 tff(314,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/sandbox2/benchmark/theBenchmark.p','assumption_17_67')).
% 1.16/1.44 tff(315,plain,
% 1.16/1.44 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | positional_advantage(A, B) | (hazard_of_mortality(A, B) = high))),
% 1.16/1.44 inference(modus_ponens,[status(thm)],[314, 313])).
% 1.16/1.44 tff(316,plain,
% 1.16/1.44 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | positional_advantage(A, B) | (hazard_of_mortality(A, B) = high))),
% 1.16/1.45 inference(modus_ponens,[status(thm)],[315, 311])).
% 1.16/1.45 tff(317,plain,(
% 1.16/1.45 ![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | positional_advantage(A, B) | (hazard_of_mortality(A, B) = high))),
% 1.16/1.45 inference(skolemize,[status(sab)],[316])).
% 1.16/1.45 tff(318,plain,
% 1.16/1.45 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | positional_advantage(A, B) | (hazard_of_mortality(A, B) = high))),
% 1.16/1.45 inference(modus_ponens,[status(thm)],[317, 310])).
% 1.16/1.45 tff(319,plain,
% 1.16/1.45 (((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | positional_advantage(A, B) | (hazard_of_mortality(A, B) = high))) | ((~organization(sk3)) | positional_advantage(sk3, sk5) | is_aligned(sk3, sk5) | has_immunity(sk3, sk5) | (hazard_of_mortality(sk3, sk5) = high))) <=> ((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | positional_advantage(A, B) | (hazard_of_mortality(A, B) = high))) | (~organization(sk3)) | positional_advantage(sk3, sk5) | is_aligned(sk3, sk5) | has_immunity(sk3, sk5) | (hazard_of_mortality(sk3, sk5) = high))),
% 1.16/1.45 inference(rewrite,[status(thm)],[])).
% 1.16/1.45 tff(320,plain,
% 1.16/1.45 ((has_immunity(sk3, sk5) | (~organization(sk3)) | is_aligned(sk3, sk5) | positional_advantage(sk3, sk5) | (hazard_of_mortality(sk3, sk5) = high)) <=> ((~organization(sk3)) | positional_advantage(sk3, sk5) | is_aligned(sk3, sk5) | has_immunity(sk3, sk5) | (hazard_of_mortality(sk3, sk5) = high))),
% 1.16/1.45 inference(rewrite,[status(thm)],[])).
% 1.16/1.45 tff(321,plain,
% 1.16/1.45 (((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | positional_advantage(A, B) | (hazard_of_mortality(A, B) = high))) | (has_immunity(sk3, sk5) | (~organization(sk3)) | is_aligned(sk3, sk5) | positional_advantage(sk3, sk5) | (hazard_of_mortality(sk3, sk5) = high))) <=> ((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | positional_advantage(A, B) | (hazard_of_mortality(A, B) = high))) | ((~organization(sk3)) | positional_advantage(sk3, sk5) | is_aligned(sk3, sk5) | has_immunity(sk3, sk5) | (hazard_of_mortality(sk3, sk5) = high)))),
% 1.16/1.45 inference(monotonicity,[status(thm)],[320])).
% 1.16/1.45 tff(322,plain,
% 1.16/1.45 (((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | positional_advantage(A, B) | (hazard_of_mortality(A, B) = high))) | (has_immunity(sk3, sk5) | (~organization(sk3)) | is_aligned(sk3, sk5) | positional_advantage(sk3, sk5) | (hazard_of_mortality(sk3, sk5) = high))) <=> ((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | positional_advantage(A, B) | (hazard_of_mortality(A, B) = high))) | (~organization(sk3)) | positional_advantage(sk3, sk5) | is_aligned(sk3, sk5) | has_immunity(sk3, sk5) | (hazard_of_mortality(sk3, sk5) = high))),
% 1.16/1.45 inference(transitivity,[status(thm)],[321, 319])).
% 1.16/1.45 tff(323,plain,
% 1.16/1.45 ((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | positional_advantage(A, B) | (hazard_of_mortality(A, B) = high))) | (has_immunity(sk3, sk5) | (~organization(sk3)) | is_aligned(sk3, sk5) | positional_advantage(sk3, sk5) | (hazard_of_mortality(sk3, sk5) = high))),
% 1.16/1.45 inference(quant_inst,[status(thm)],[])).
% 1.16/1.45 tff(324,plain,
% 1.16/1.45 ((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | positional_advantage(A, B) | (hazard_of_mortality(A, B) = high))) | (~organization(sk3)) | positional_advantage(sk3, sk5) | is_aligned(sk3, sk5) | has_immunity(sk3, sk5) | (hazard_of_mortality(sk3, sk5) = high)),
% 1.16/1.45 inference(modus_ponens,[status(thm)],[323, 322])).
% 1.16/1.45 tff(325,plain,
% 1.16/1.45 (is_aligned(sk3, sk5) | has_immunity(sk3, sk5) | (hazard_of_mortality(sk3, sk5) = high)),
% 1.16/1.45 inference(unit_resolution,[status(thm)],[324, 318, 7, 120])).
% 1.16/1.45 tff(326,plain,
% 1.16/1.45 (hazard_of_mortality(sk3, sk5) = high),
% 1.16/1.45 inference(unit_resolution,[status(thm)],[325, 308, 204])).
% 1.16/1.45 tff(327,assumption,(hazard_of_mortality(sk3, sk5) = high), introduced(assumption)).
% 1.16/1.45 tff(328,assumption,(~is_aligned(sk3, sk7)), introduced(assumption)).
% 1.16/1.45 tff(329,assumption,(hazard_of_mortality(sk3, sk7) = mod1), introduced(assumption)).
% 1.16/1.45 tff(330,plain,
% 1.16/1.45 (smaller(hazard_of_mortality(sk3, sk7), hazard_of_mortality(sk3, sk5)) <=> smaller(mod1, high)),
% 1.16/1.45 inference(monotonicity,[status(thm)],[329, 327])).
% 1.16/1.45 tff(331,plain,
% 1.16/1.45 (smaller(mod1, high) <=> smaller(hazard_of_mortality(sk3, sk7), hazard_of_mortality(sk3, sk5))),
% 1.16/1.45 inference(symmetry,[status(thm)],[330])).
% 1.16/1.45 tff(332,plain,
% 1.16/1.45 (greater(high, mod1) <=> greater(high, mod1)),
% 1.16/1.45 inference(rewrite,[status(thm)],[])).
% 1.16/1.45 tff(333,axiom,(greater(high, mod1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','assumption_18a_68')).
% 1.16/1.45 tff(334,plain,
% 1.16/1.45 (greater(high, mod1)),
% 1.16/1.45 inference(modus_ponens,[status(thm)],[333, 332])).
% 1.16/1.45 tff(335,plain,
% 1.16/1.45 (((~![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))) | ((~greater(high, mod1)) | smaller(mod1, high))) <=> ((~![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))) | (~greater(high, mod1)) | smaller(mod1, high))),
% 1.16/1.45 inference(rewrite,[status(thm)],[])).
% 1.16/1.45 tff(336,plain,
% 1.16/1.45 ((~![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))) | ((~greater(high, mod1)) | smaller(mod1, high))),
% 1.16/1.45 inference(quant_inst,[status(thm)],[])).
% 1.16/1.45 tff(337,plain,
% 1.16/1.45 ((~![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))) | (~greater(high, mod1)) | smaller(mod1, high)),
% 1.16/1.45 inference(modus_ponens,[status(thm)],[336, 335])).
% 1.16/1.45 tff(338,plain,
% 1.16/1.45 (smaller(mod1, high)),
% 1.16/1.45 inference(unit_resolution,[status(thm)],[337, 40, 334])).
% 1.16/1.45 tff(339,plain,
% 1.16/1.45 (smaller(hazard_of_mortality(sk3, sk7), hazard_of_mortality(sk3, sk5))),
% 1.16/1.45 inference(modus_ponens,[status(thm)],[338, 331])).
% 1.16/1.45 tff(340,plain,
% 1.16/1.45 ($false),
% 1.16/1.45 inference(unit_resolution,[status(thm)],[215, 339])).
% 1.16/1.45 tff(341,plain,((~(hazard_of_mortality(sk3, sk7) = mod1)) | smaller(hazard_of_mortality(sk3, sk7), hazard_of_mortality(sk3, sk5)) | (~(hazard_of_mortality(sk3, sk5) = high))), inference(lemma,lemma(discharge,[]))).
% 1.16/1.45 tff(342,plain,
% 1.16/1.45 (~(hazard_of_mortality(sk3, sk7) = mod1)),
% 1.16/1.45 inference(unit_resolution,[status(thm)],[341, 327, 215])).
% 1.16/1.45 tff(343,plain,
% 1.16/1.45 (has_immunity(sk3, sk7)),
% 1.16/1.45 inference(unit_resolution,[status(thm)],[292, 342, 328])).
% 1.16/1.45 tff(344,plain,
% 1.16/1.45 (^[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)))),
% 1.16/1.45 inference(bind,[status(th)],[])).
% 1.16/1.45 tff(345,plain,
% 1.16/1.45 (![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))),
% 1.16/1.45 inference(quant_intro,[status(thm)],[344])).
% 1.16/1.45 tff(346,plain,
% 1.16/1.45 (![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))),
% 1.16/1.45 inference(rewrite,[status(thm)],[])).
% 1.16/1.45 tff(347,plain,
% 1.16/1.45 (^[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)))),
% 1.16/1.45 inference(bind,[status(th)],[])).
% 1.16/1.45 tff(348,plain,
% 1.16/1.45 (![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))),
% 1.16/1.45 inference(quant_intro,[status(thm)],[347])).
% 1.16/1.45 tff(349,axiom,(![B: $i, A: $i] : (((~organization(A)) | (~has_immunity(A, B))) | (hazard_of_mortality(A, B) = very_low))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','assumption_17_63')).
% 1.16/1.45 tff(350,plain,
% 1.16/1.45 (![B: $i, A: $i] : ((~has_immunity(A, B)) | (~organization(A)) | (hazard_of_mortality(A, B) = very_low))),
% 1.16/1.45 inference(modus_ponens,[status(thm)],[349, 348])).
% 1.16/1.45 tff(351,plain,
% 1.16/1.45 (![B: $i, A: $i] : ((~has_immunity(A, B)) | (~organization(A)) | (hazard_of_mortality(A, B) = very_low))),
% 1.16/1.46 inference(modus_ponens,[status(thm)],[350, 346])).
% 1.16/1.46 tff(352,plain,(
% 1.16/1.46 ![B: $i, A: $i] : ((~has_immunity(A, B)) | (~organization(A)) | (hazard_of_mortality(A, B) = very_low))),
% 1.16/1.46 inference(skolemize,[status(sab)],[351])).
% 1.16/1.46 tff(353,plain,
% 1.16/1.46 (![B: $i, A: $i] : ((~has_immunity(A, B)) | (~organization(A)) | (hazard_of_mortality(A, B) = very_low))),
% 1.16/1.46 inference(modus_ponens,[status(thm)],[352, 345])).
% 1.16/1.46 tff(354,plain,
% 1.16/1.46 (((~![B: $i, A: $i] : ((~has_immunity(A, B)) | (~organization(A)) | (hazard_of_mortality(A, B) = very_low))) | ((~organization(sk3)) | (~has_immunity(sk3, sk7)) | (hazard_of_mortality(sk3, sk7) = very_low))) <=> ((~![B: $i, A: $i] : ((~has_immunity(A, B)) | (~organization(A)) | (hazard_of_mortality(A, B) = very_low))) | (~organization(sk3)) | (~has_immunity(sk3, sk7)) | (hazard_of_mortality(sk3, sk7) = very_low))),
% 1.16/1.46 inference(rewrite,[status(thm)],[])).
% 1.16/1.46 tff(355,plain,
% 1.16/1.46 (((~has_immunity(sk3, sk7)) | (~organization(sk3)) | (hazard_of_mortality(sk3, sk7) = very_low)) <=> ((~organization(sk3)) | (~has_immunity(sk3, sk7)) | (hazard_of_mortality(sk3, sk7) = very_low))),
% 1.16/1.46 inference(rewrite,[status(thm)],[])).
% 1.16/1.46 tff(356,plain,
% 1.16/1.46 (((~![B: $i, A: $i] : ((~has_immunity(A, B)) | (~organization(A)) | (hazard_of_mortality(A, B) = very_low))) | ((~has_immunity(sk3, sk7)) | (~organization(sk3)) | (hazard_of_mortality(sk3, sk7) = very_low))) <=> ((~![B: $i, A: $i] : ((~has_immunity(A, B)) | (~organization(A)) | (hazard_of_mortality(A, B) = very_low))) | ((~organization(sk3)) | (~has_immunity(sk3, sk7)) | (hazard_of_mortality(sk3, sk7) = very_low)))),
% 1.16/1.46 inference(monotonicity,[status(thm)],[355])).
% 1.16/1.46 tff(357,plain,
% 1.16/1.46 (((~![B: $i, A: $i] : ((~has_immunity(A, B)) | (~organization(A)) | (hazard_of_mortality(A, B) = very_low))) | ((~has_immunity(sk3, sk7)) | (~organization(sk3)) | (hazard_of_mortality(sk3, sk7) = very_low))) <=> ((~![B: $i, A: $i] : ((~has_immunity(A, B)) | (~organization(A)) | (hazard_of_mortality(A, B) = very_low))) | (~organization(sk3)) | (~has_immunity(sk3, sk7)) | (hazard_of_mortality(sk3, sk7) = very_low))),
% 1.16/1.46 inference(transitivity,[status(thm)],[356, 354])).
% 1.16/1.46 tff(358,plain,
% 1.16/1.46 ((~![B: $i, A: $i] : ((~has_immunity(A, B)) | (~organization(A)) | (hazard_of_mortality(A, B) = very_low))) | ((~has_immunity(sk3, sk7)) | (~organization(sk3)) | (hazard_of_mortality(sk3, sk7) = very_low))),
% 1.16/1.46 inference(quant_inst,[status(thm)],[])).
% 1.16/1.46 tff(359,plain,
% 1.16/1.46 ((~![B: $i, A: $i] : ((~has_immunity(A, B)) | (~organization(A)) | (hazard_of_mortality(A, B) = very_low))) | (~organization(sk3)) | (~has_immunity(sk3, sk7)) | (hazard_of_mortality(sk3, sk7) = very_low)),
% 1.16/1.46 inference(modus_ponens,[status(thm)],[358, 357])).
% 1.16/1.46 tff(360,plain,
% 1.16/1.46 ((~has_immunity(sk3, sk7)) | (hazard_of_mortality(sk3, sk7) = very_low)),
% 1.16/1.46 inference(unit_resolution,[status(thm)],[359, 353, 7])).
% 1.16/1.46 tff(361,plain,
% 1.16/1.46 (hazard_of_mortality(sk3, sk7) = very_low),
% 1.16/1.46 inference(unit_resolution,[status(thm)],[360, 343])).
% 1.16/1.46 tff(362,plain,
% 1.16/1.46 (smaller(hazard_of_mortality(sk3, sk7), hazard_of_mortality(sk3, sk5)) <=> smaller(very_low, high)),
% 1.16/1.46 inference(monotonicity,[status(thm)],[361, 327])).
% 1.16/1.46 tff(363,plain,
% 1.16/1.46 (smaller(very_low, high) <=> smaller(hazard_of_mortality(sk3, sk7), hazard_of_mortality(sk3, sk5))),
% 1.16/1.46 inference(symmetry,[status(thm)],[362])).
% 1.16/1.46 tff(364,plain,
% 1.16/1.46 (greater(mod1, low) <=> greater(mod1, low)),
% 1.16/1.46 inference(rewrite,[status(thm)],[])).
% 1.16/1.46 tff(365,axiom,(greater(mod1, low)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','assumption_18b_69')).
% 1.16/1.46 tff(366,plain,
% 1.16/1.46 (greater(mod1, low)),
% 1.16/1.46 inference(modus_ponens,[status(thm)],[365, 364])).
% 1.16/1.46 tff(367,plain,
% 1.16/1.46 (((~![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)))),
% 1.16/1.46 inference(rewrite,[status(thm)],[])).
% 1.16/1.46 tff(368,plain,
% 1.16/1.46 ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(high, low) | (~greater(mod1, low)) | (~greater(high, mod1)))),
% 1.16/1.46 inference(quant_inst,[status(thm)],[])).
% 1.16/1.46 tff(369,plain,
% 1.16/1.46 ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | greater(high, low) | (~greater(mod1, low)) | (~greater(high, mod1))),
% 1.16/1.46 inference(modus_ponens,[status(thm)],[368, 367])).
% 1.16/1.46 tff(370,plain,
% 1.16/1.46 (greater(high, low)),
% 1.16/1.46 inference(unit_resolution,[status(thm)],[369, 150, 334, 366])).
% 1.16/1.46 tff(371,plain,
% 1.16/1.46 (greater(low, very_low) <=> greater(low, very_low)),
% 1.16/1.46 inference(rewrite,[status(thm)],[])).
% 1.16/1.46 tff(372,axiom,(greater(low, very_low)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','assumption_18c_70')).
% 1.16/1.46 tff(373,plain,
% 1.16/1.46 (greater(low, very_low)),
% 1.16/1.46 inference(modus_ponens,[status(thm)],[372, 371])).
% 1.16/1.46 tff(374,plain,
% 1.16/1.46 (((~![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)))),
% 1.16/1.46 inference(rewrite,[status(thm)],[])).
% 1.16/1.46 tff(375,plain,
% 1.16/1.46 ((greater(high, very_low) | (~greater(low, very_low)) | (~greater(high, low))) <=> ((~greater(low, very_low)) | greater(high, very_low) | (~greater(high, low)))),
% 1.16/1.46 inference(rewrite,[status(thm)],[])).
% 1.16/1.46 tff(376,plain,
% 1.16/1.46 (((~![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))))),
% 1.16/1.46 inference(monotonicity,[status(thm)],[375])).
% 1.16/1.46 tff(377,plain,
% 1.16/1.46 (((~![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)))),
% 1.16/1.46 inference(transitivity,[status(thm)],[376, 374])).
% 1.16/1.46 tff(378,plain,
% 1.16/1.46 ((~![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)))),
% 1.16/1.46 inference(quant_inst,[status(thm)],[])).
% 1.16/1.46 tff(379,plain,
% 1.16/1.46 ((~![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))),
% 1.16/1.46 inference(modus_ponens,[status(thm)],[378, 377])).
% 1.16/1.46 tff(380,plain,
% 1.16/1.46 (greater(high, very_low)),
% 1.16/1.46 inference(unit_resolution,[status(thm)],[379, 150, 373, 370])).
% 1.16/1.46 tff(381,plain,
% 1.16/1.46 (((~![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))) | ((~greater(high, very_low)) | smaller(very_low, high))) <=> ((~![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))) | (~greater(high, very_low)) | smaller(very_low, high))),
% 1.16/1.46 inference(rewrite,[status(thm)],[])).
% 1.16/1.46 tff(382,plain,
% 1.16/1.46 ((~![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))) | ((~greater(high, very_low)) | smaller(very_low, high))),
% 1.16/1.46 inference(quant_inst,[status(thm)],[])).
% 1.16/1.46 tff(383,plain,
% 1.16/1.46 ((~![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))) | (~greater(high, very_low)) | smaller(very_low, high)),
% 1.16/1.46 inference(modus_ponens,[status(thm)],[382, 381])).
% 1.16/1.46 tff(384,plain,
% 1.16/1.46 (smaller(very_low, high)),
% 1.16/1.46 inference(unit_resolution,[status(thm)],[383, 40, 380])).
% 1.16/1.46 tff(385,plain,
% 1.16/1.46 (smaller(hazard_of_mortality(sk3, sk7), hazard_of_mortality(sk3, sk5))),
% 1.16/1.46 inference(modus_ponens,[status(thm)],[384, 363])).
% 1.16/1.46 tff(386,plain,
% 1.16/1.46 ($false),
% 1.16/1.46 inference(unit_resolution,[status(thm)],[215, 385])).
% 1.16/1.46 tff(387,plain,((~(hazard_of_mortality(sk3, sk5) = high)) | smaller(hazard_of_mortality(sk3, sk7), hazard_of_mortality(sk3, sk5)) | is_aligned(sk3, sk7)), inference(lemma,lemma(discharge,[]))).
% 1.16/1.46 tff(388,plain,
% 1.16/1.46 (is_aligned(sk3, sk7)),
% 1.16/1.46 inference(unit_resolution,[status(thm)],[387, 326, 215])).
% 1.16/1.47 tff(389,plain,
% 1.16/1.47 (hazard_of_mortality(sk3, sk7) = low),
% 1.16/1.47 inference(unit_resolution,[status(thm)],[274, 388])).
% 1.16/1.47 tff(390,plain,
% 1.16/1.47 (smaller(hazard_of_mortality(sk3, sk7), hazard_of_mortality(sk3, sk5)) <=> smaller(low, high)),
% 1.16/1.47 inference(monotonicity,[status(thm)],[389, 326])).
% 1.16/1.47 tff(391,plain,
% 1.16/1.47 (smaller(low, high) <=> smaller(hazard_of_mortality(sk3, sk7), hazard_of_mortality(sk3, sk5))),
% 1.16/1.47 inference(symmetry,[status(thm)],[390])).
% 1.16/1.47 tff(392,plain,
% 1.16/1.47 (((~![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))) | ((~greater(high, low)) | smaller(low, high))) <=> ((~![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))) | (~greater(high, low)) | smaller(low, high))),
% 1.16/1.47 inference(rewrite,[status(thm)],[])).
% 1.16/1.47 tff(393,plain,
% 1.16/1.47 ((~![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))) | ((~greater(high, low)) | smaller(low, high))),
% 1.16/1.47 inference(quant_inst,[status(thm)],[])).
% 1.16/1.47 tff(394,plain,
% 1.16/1.47 ((~![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))) | (~greater(high, low)) | smaller(low, high)),
% 1.16/1.47 inference(modus_ponens,[status(thm)],[393, 392])).
% 1.16/1.47 tff(395,plain,
% 1.16/1.47 (smaller(low, high)),
% 1.16/1.47 inference(unit_resolution,[status(thm)],[394, 40, 370])).
% 1.16/1.47 tff(396,plain,
% 1.16/1.47 (smaller(hazard_of_mortality(sk3, sk7), hazard_of_mortality(sk3, sk5))),
% 1.16/1.47 inference(modus_ponens,[status(thm)],[395, 391])).
% 1.16/1.47 tff(397,plain,
% 1.16/1.47 ($false),
% 1.16/1.47 inference(unit_resolution,[status(thm)],[215, 396])).
% 1.16/1.47 tff(398,plain,(smaller(hazard_of_mortality(sk3, sk7), hazard_of_mortality(sk3, sk5))), inference(lemma,lemma(discharge,[]))).
% 1.16/1.47 tff(399,plain,
% 1.16/1.47 (((~smaller(hazard_of_mortality(sk3, sk6), hazard_of_mortality(sk3, sk7))) | (~smaller(hazard_of_mortality(sk3, sk7), hazard_of_mortality(sk3, sk5))) | (~(hazard_of_mortality(sk3, sk5) = hazard_of_mortality(sk3, sk4)))) <=> ((~smaller(hazard_of_mortality(sk3, sk6), hazard_of_mortality(sk3, sk7))) | (~smaller(hazard_of_mortality(sk3, sk7), hazard_of_mortality(sk3, sk5))) | (~(hazard_of_mortality(sk3, sk5) = hazard_of_mortality(sk3, sk4))))),
% 1.16/1.47 inference(rewrite,[status(thm)],[])).
% 1.16/1.47 tff(400,plain,
% 1.16/1.47 ((((~smaller(hazard_of_mortality(sk3, sk6), hazard_of_mortality(sk3, sk7))) | (~smaller(hazard_of_mortality(sk3, sk7), hazard_of_mortality(sk3, sk5)))) | (~(hazard_of_mortality(sk3, sk5) = hazard_of_mortality(sk3, sk4)))) <=> ((~smaller(hazard_of_mortality(sk3, sk6), hazard_of_mortality(sk3, sk7))) | (~smaller(hazard_of_mortality(sk3, sk7), hazard_of_mortality(sk3, sk5))) | (~(hazard_of_mortality(sk3, sk5) = hazard_of_mortality(sk3, sk4))))),
% 1.16/1.47 inference(rewrite,[status(thm)],[])).
% 1.16/1.47 tff(401,axiom,(((~smaller(hazard_of_mortality(sk3, sk6), hazard_of_mortality(sk3, sk7))) | (~smaller(hazard_of_mortality(sk3, sk7), hazard_of_mortality(sk3, sk5)))) | (~(hazard_of_mortality(sk3, sk5) = hazard_of_mortality(sk3, sk4)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','theorem_10_85')).
% 1.16/1.47 tff(402,plain,
% 1.16/1.47 ((~smaller(hazard_of_mortality(sk3, sk6), hazard_of_mortality(sk3, sk7))) | (~smaller(hazard_of_mortality(sk3, sk7), hazard_of_mortality(sk3, sk5))) | (~(hazard_of_mortality(sk3, sk5) = hazard_of_mortality(sk3, sk4)))),
% 1.16/1.47 inference(modus_ponens,[status(thm)],[401, 400])).
% 1.16/1.47 tff(403,plain,
% 1.16/1.47 ((~smaller(hazard_of_mortality(sk3, sk6), hazard_of_mortality(sk3, sk7))) | (~smaller(hazard_of_mortality(sk3, sk7), hazard_of_mortality(sk3, sk5))) | (~(hazard_of_mortality(sk3, sk5) = hazard_of_mortality(sk3, sk4)))),
% 1.16/1.47 inference(modus_ponens,[status(thm)],[402, 399])).
% 1.16/1.47 tff(404,plain,
% 1.16/1.47 ((~smaller(hazard_of_mortality(sk3, sk6), hazard_of_mortality(sk3, sk7))) | (~smaller(hazard_of_mortality(sk3, sk7), hazard_of_mortality(sk3, sk5))) | (~(hazard_of_mortality(sk3, sk5) = hazard_of_mortality(sk3, sk4)))),
% 1.16/1.47 inference(modus_ponens,[status(thm)],[403, 399])).
% 1.16/1.47 tff(405,plain,
% 1.16/1.47 ((~smaller(hazard_of_mortality(sk3, sk6), hazard_of_mortality(sk3, sk7))) | (~smaller(hazard_of_mortality(sk3, sk7), hazard_of_mortality(sk3, sk5))) | (~(hazard_of_mortality(sk3, sk5) = hazard_of_mortality(sk3, sk4)))),
% 1.16/1.47 inference(modus_ponens,[status(thm)],[404, 399])).
% 1.16/1.47 tff(406,plain,
% 1.16/1.47 ((~smaller(hazard_of_mortality(sk3, sk6), hazard_of_mortality(sk3, sk7))) | (~smaller(hazard_of_mortality(sk3, sk7), hazard_of_mortality(sk3, sk5))) | (~(hazard_of_mortality(sk3, sk5) = hazard_of_mortality(sk3, sk4)))),
% 1.16/1.47 inference(modus_ponens,[status(thm)],[405, 399])).
% 1.16/1.47 tff(407,plain,
% 1.16/1.47 ((~smaller(hazard_of_mortality(sk3, sk6), hazard_of_mortality(sk3, sk7))) | (~(hazard_of_mortality(sk3, sk5) = hazard_of_mortality(sk3, sk4)))),
% 1.16/1.47 inference(unit_resolution,[status(thm)],[406, 398])).
% 1.16/1.47 tff(408,plain,
% 1.16/1.47 (~smaller(hazard_of_mortality(sk3, sk6), hazard_of_mortality(sk3, sk7))),
% 1.16/1.47 inference(unit_resolution,[status(thm)],[407, 214])).
% 1.16/1.47 tff(409,plain,
% 1.16/1.47 (^[B: $i, A: $i, C: $i] : refl((dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = zero))) <=> (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = zero))))),
% 1.16/1.47 inference(bind,[status(th)],[])).
% 1.16/1.47 tff(410,plain,
% 1.16/1.47 (![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = zero))) <=> ![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = zero)))),
% 1.16/1.47 inference(quant_intro,[status(thm)],[409])).
% 1.16/1.47 tff(411,plain,
% 1.16/1.47 (![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = zero))) <=> ![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = zero)))),
% 1.16/1.47 inference(rewrite,[status(thm)],[])).
% 1.16/1.47 tff(412,plain,
% 1.16/1.47 (^[B: $i, A: $i, C: $i] : trans(monotonicity(rewrite((((~organization(A)) | (~(age(A, B) = zero))) | (~greater(age(A, C), sigma))) <=> ((~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = zero)))), (((((~organization(A)) | (~(age(A, B) = zero))) | (~greater(age(A, C), sigma))) | dissimilar(A, B, C)) <=> (((~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = zero))) | dissimilar(A, B, C)))), rewrite((((~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = zero))) | dissimilar(A, B, C)) <=> (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = zero)))), (((((~organization(A)) | (~(age(A, B) = zero))) | (~greater(age(A, C), sigma))) | dissimilar(A, B, C)) <=> (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = zero)))))),
% 1.16/1.47 inference(bind,[status(th)],[])).
% 1.16/1.47 tff(413,plain,
% 1.16/1.47 (![B: $i, A: $i, C: $i] : ((((~organization(A)) | (~(age(A, B) = zero))) | (~greater(age(A, C), sigma))) | dissimilar(A, B, C)) <=> ![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = zero)))),
% 1.16/1.47 inference(quant_intro,[status(thm)],[412])).
% 1.16/1.47 tff(414,axiom,(![B: $i, A: $i, C: $i] : ((((~organization(A)) | (~(age(A, B) = zero))) | (~greater(age(A, C), sigma))) | dissimilar(A, B, C))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','assumption_15_55')).
% 1.16/1.47 tff(415,plain,
% 1.16/1.47 (![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = zero)))),
% 1.16/1.47 inference(modus_ponens,[status(thm)],[414, 413])).
% 1.16/1.47 tff(416,plain,
% 1.16/1.47 (![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = zero)))),
% 1.16/1.47 inference(modus_ponens,[status(thm)],[415, 411])).
% 1.16/1.47 tff(417,plain,(
% 1.16/1.47 ![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = zero)))),
% 1.16/1.47 inference(skolemize,[status(sab)],[416])).
% 1.16/1.47 tff(418,plain,
% 1.16/1.47 (![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = zero)))),
% 1.16/1.47 inference(modus_ponens,[status(thm)],[417, 410])).
% 1.16/1.47 tff(419,plain,
% 1.16/1.47 (((~![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = zero)))) | ((~greater(age(sk3, sk7), sigma)) | (~organization(sk3)) | (~(age(sk3, sk4) = zero)) | dissimilar(sk3, sk4, sk7))) <=> ((~![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = zero)))) | (~greater(age(sk3, sk7), sigma)) | (~organization(sk3)) | (~(age(sk3, sk4) = zero)) | dissimilar(sk3, sk4, sk7))),
% 1.16/1.47 inference(rewrite,[status(thm)],[])).
% 1.16/1.47 tff(420,plain,
% 1.16/1.47 ((dissimilar(sk3, sk4, sk7) | (~organization(sk3)) | (~greater(age(sk3, sk7), sigma)) | (~(age(sk3, sk4) = zero))) <=> ((~greater(age(sk3, sk7), sigma)) | (~organization(sk3)) | (~(age(sk3, sk4) = zero)) | dissimilar(sk3, sk4, sk7))),
% 1.16/1.47 inference(rewrite,[status(thm)],[])).
% 1.16/1.47 tff(421,plain,
% 1.16/1.47 (((~![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = zero)))) | (dissimilar(sk3, sk4, sk7) | (~organization(sk3)) | (~greater(age(sk3, sk7), sigma)) | (~(age(sk3, sk4) = zero)))) <=> ((~![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = zero)))) | ((~greater(age(sk3, sk7), sigma)) | (~organization(sk3)) | (~(age(sk3, sk4) = zero)) | dissimilar(sk3, sk4, sk7)))),
% 1.16/1.47 inference(monotonicity,[status(thm)],[420])).
% 1.16/1.47 tff(422,plain,
% 1.16/1.47 (((~![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = zero)))) | (dissimilar(sk3, sk4, sk7) | (~organization(sk3)) | (~greater(age(sk3, sk7), sigma)) | (~(age(sk3, sk4) = zero)))) <=> ((~![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = zero)))) | (~greater(age(sk3, sk7), sigma)) | (~organization(sk3)) | (~(age(sk3, sk4) = zero)) | dissimilar(sk3, sk4, sk7))),
% 1.16/1.47 inference(transitivity,[status(thm)],[421, 419])).
% 1.16/1.47 tff(423,plain,
% 1.16/1.47 ((~![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = zero)))) | (dissimilar(sk3, sk4, sk7) | (~organization(sk3)) | (~greater(age(sk3, sk7), sigma)) | (~(age(sk3, sk4) = zero)))),
% 1.16/1.47 inference(quant_inst,[status(thm)],[])).
% 1.16/1.47 tff(424,plain,
% 1.16/1.47 ((~![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = zero)))) | (~greater(age(sk3, sk7), sigma)) | (~organization(sk3)) | (~(age(sk3, sk4) = zero)) | dissimilar(sk3, sk4, sk7)),
% 1.16/1.47 inference(modus_ponens,[status(thm)],[423, 422])).
% 1.16/1.47 tff(425,plain,
% 1.16/1.47 (dissimilar(sk3, sk4, sk7)),
% 1.16/1.47 inference(unit_resolution,[status(thm)],[424, 418, 7, 28, 242])).
% 1.16/1.47 tff(426,plain,
% 1.16/1.47 (^[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))))),
% 1.16/1.47 inference(bind,[status(th)],[])).
% 1.16/1.47 tff(427,plain,
% 1.16/1.47 (![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)))),
% 1.16/1.47 inference(quant_intro,[status(thm)],[426])).
% 1.16/1.47 tff(428,plain,
% 1.16/1.47 (![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)))),
% 1.16/1.47 inference(rewrite,[status(thm)],[])).
% 1.16/1.47 tff(429,plain,
% 1.16/1.47 (^[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)))))),
% 1.16/1.47 inference(bind,[status(th)],[])).
% 1.16/1.47 tff(430,plain,
% 1.16/1.47 (![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)))),
% 1.16/1.47 inference(quant_intro,[status(thm)],[429])).
% 1.16/1.48 tff(431,axiom,(![B: $i, A: $i, C: $i] : (((~dissimilar(A, B, C)) | (~is_aligned(A, B))) | (~is_aligned(A, C)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','definition_2_49')).
% 1.16/1.48 tff(432,plain,
% 1.16/1.48 (![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~is_aligned(A, C)) | (~is_aligned(A, B)))),
% 1.16/1.48 inference(modus_ponens,[status(thm)],[431, 430])).
% 1.16/1.48 tff(433,plain,
% 1.16/1.48 (![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~is_aligned(A, C)) | (~is_aligned(A, B)))),
% 1.16/1.48 inference(modus_ponens,[status(thm)],[432, 428])).
% 1.16/1.48 tff(434,plain,(
% 1.16/1.48 ![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~is_aligned(A, C)) | (~is_aligned(A, B)))),
% 1.16/1.48 inference(skolemize,[status(sab)],[433])).
% 1.16/1.48 tff(435,plain,
% 1.16/1.48 (![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~is_aligned(A, C)) | (~is_aligned(A, B)))),
% 1.16/1.48 inference(modus_ponens,[status(thm)],[434, 427])).
% 1.16/1.48 tff(436,plain,
% 1.16/1.48 (((~![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~is_aligned(A, C)) | (~is_aligned(A, B)))) | ((~is_aligned(sk3, sk4)) | (~is_aligned(sk3, sk7)) | (~dissimilar(sk3, sk4, sk7)))) <=> ((~![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~is_aligned(A, C)) | (~is_aligned(A, B)))) | (~is_aligned(sk3, sk4)) | (~is_aligned(sk3, sk7)) | (~dissimilar(sk3, sk4, sk7)))),
% 1.16/1.48 inference(rewrite,[status(thm)],[])).
% 1.16/1.48 tff(437,plain,
% 1.16/1.48 (((~dissimilar(sk3, sk4, sk7)) | (~is_aligned(sk3, sk7)) | (~is_aligned(sk3, sk4))) <=> ((~is_aligned(sk3, sk4)) | (~is_aligned(sk3, sk7)) | (~dissimilar(sk3, sk4, sk7)))),
% 1.16/1.48 inference(rewrite,[status(thm)],[])).
% 1.16/1.48 tff(438,plain,
% 1.16/1.48 (((~![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~is_aligned(A, C)) | (~is_aligned(A, B)))) | ((~dissimilar(sk3, sk4, sk7)) | (~is_aligned(sk3, sk7)) | (~is_aligned(sk3, sk4)))) <=> ((~![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~is_aligned(A, C)) | (~is_aligned(A, B)))) | ((~is_aligned(sk3, sk4)) | (~is_aligned(sk3, sk7)) | (~dissimilar(sk3, sk4, sk7))))),
% 1.16/1.48 inference(monotonicity,[status(thm)],[437])).
% 1.16/1.48 tff(439,plain,
% 1.16/1.48 (((~![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~is_aligned(A, C)) | (~is_aligned(A, B)))) | ((~dissimilar(sk3, sk4, sk7)) | (~is_aligned(sk3, sk7)) | (~is_aligned(sk3, sk4)))) <=> ((~![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~is_aligned(A, C)) | (~is_aligned(A, B)))) | (~is_aligned(sk3, sk4)) | (~is_aligned(sk3, sk7)) | (~dissimilar(sk3, sk4, sk7)))),
% 1.16/1.48 inference(transitivity,[status(thm)],[438, 436])).
% 1.16/1.48 tff(440,plain,
% 1.16/1.48 ((~![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~is_aligned(A, C)) | (~is_aligned(A, B)))) | ((~dissimilar(sk3, sk4, sk7)) | (~is_aligned(sk3, sk7)) | (~is_aligned(sk3, sk4)))),
% 1.16/1.48 inference(quant_inst,[status(thm)],[])).
% 1.16/1.48 tff(441,plain,
% 1.16/1.48 ((~![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~is_aligned(A, C)) | (~is_aligned(A, B)))) | (~is_aligned(sk3, sk4)) | (~is_aligned(sk3, sk7)) | (~dissimilar(sk3, sk4, sk7))),
% 1.16/1.48 inference(modus_ponens,[status(thm)],[440, 439])).
% 1.16/1.48 tff(442,plain,
% 1.16/1.48 (~is_aligned(sk3, sk7)),
% 1.16/1.48 inference(unit_resolution,[status(thm)],[441, 435, 88, 425])).
% 1.16/1.48 tff(443,plain,
% 1.16/1.48 (hazard_of_mortality(sk3, sk7) = mod1),
% 1.16/1.48 inference(unit_resolution,[status(thm)],[293, 442])).
% 1.16/1.48 tff(444,plain,
% 1.16/1.48 (mod1 = hazard_of_mortality(sk3, sk7)),
% 1.16/1.48 inference(symmetry,[status(thm)],[443])).
% 1.16/1.48 tff(445,assumption,(hazard_of_mortality(sk3, sk6) = low), introduced(assumption)).
% 1.16/1.48 tff(446,plain,
% 1.16/1.48 (low = hazard_of_mortality(sk3, sk6)),
% 1.16/1.48 inference(symmetry,[status(thm)],[445])).
% 1.16/1.48 tff(447,plain,
% 1.16/1.48 (smaller(low, mod1) <=> smaller(hazard_of_mortality(sk3, sk6), hazard_of_mortality(sk3, sk7))),
% 1.16/1.48 inference(monotonicity,[status(thm)],[446, 444])).
% 1.16/1.48 tff(448,plain,
% 1.16/1.48 (smaller(hazard_of_mortality(sk3, sk6), hazard_of_mortality(sk3, sk7)) <=> smaller(low, mod1)),
% 1.16/1.48 inference(symmetry,[status(thm)],[447])).
% 1.16/1.48 tff(449,plain,
% 1.16/1.48 ((~smaller(hazard_of_mortality(sk3, sk6), hazard_of_mortality(sk3, sk7))) <=> (~smaller(low, mod1))),
% 1.16/1.48 inference(monotonicity,[status(thm)],[448])).
% 1.16/1.48 tff(450,assumption,(~smaller(hazard_of_mortality(sk3, sk6), hazard_of_mortality(sk3, sk7))), introduced(assumption)).
% 1.16/1.48 tff(451,plain,
% 1.16/1.48 (~smaller(low, mod1)),
% 1.16/1.48 inference(modus_ponens,[status(thm)],[450, 449])).
% 1.16/1.48 tff(452,plain,
% 1.16/1.48 (((~![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))) | ((~greater(mod1, low)) | smaller(low, mod1))) <=> ((~![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))) | (~greater(mod1, low)) | smaller(low, mod1))),
% 1.16/1.48 inference(rewrite,[status(thm)],[])).
% 1.16/1.48 tff(453,plain,
% 1.16/1.48 ((~![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))) | ((~greater(mod1, low)) | smaller(low, mod1))),
% 1.16/1.48 inference(quant_inst,[status(thm)],[])).
% 1.16/1.48 tff(454,plain,
% 1.16/1.48 ((~![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))) | (~greater(mod1, low)) | smaller(low, mod1)),
% 1.16/1.48 inference(modus_ponens,[status(thm)],[453, 452])).
% 1.16/1.48 tff(455,plain,
% 1.16/1.48 (smaller(low, mod1)),
% 1.16/1.48 inference(unit_resolution,[status(thm)],[454, 40, 366])).
% 1.16/1.48 tff(456,plain,
% 1.16/1.48 ($false),
% 1.16/1.48 inference(unit_resolution,[status(thm)],[455, 451])).
% 1.16/1.48 tff(457,plain,((~(hazard_of_mortality(sk3, sk6) = low)) | smaller(hazard_of_mortality(sk3, sk6), hazard_of_mortality(sk3, sk7))), inference(lemma,lemma(discharge,[]))).
% 1.16/1.48 tff(458,plain,
% 1.16/1.48 (~(hazard_of_mortality(sk3, sk6) = low)),
% 1.16/1.48 inference(unit_resolution,[status(thm)],[457, 408])).
% 1.16/1.48 tff(459,plain,
% 1.16/1.48 (mod1 = hazard_of_mortality(sk3, sk7)),
% 1.16/1.48 inference(symmetry,[status(thm)],[329])).
% 1.16/1.48 tff(460,assumption,(hazard_of_mortality(sk3, sk6) = very_low), introduced(assumption)).
% 1.16/1.48 tff(461,plain,
% 1.16/1.48 (very_low = hazard_of_mortality(sk3, sk6)),
% 1.16/1.48 inference(symmetry,[status(thm)],[460])).
% 1.16/1.48 tff(462,plain,
% 1.16/1.48 (smaller(very_low, mod1) <=> smaller(hazard_of_mortality(sk3, sk6), hazard_of_mortality(sk3, sk7))),
% 1.16/1.48 inference(monotonicity,[status(thm)],[461, 459])).
% 1.16/1.48 tff(463,plain,
% 1.16/1.48 (smaller(hazard_of_mortality(sk3, sk6), hazard_of_mortality(sk3, sk7)) <=> smaller(very_low, mod1)),
% 1.16/1.48 inference(symmetry,[status(thm)],[462])).
% 1.16/1.48 tff(464,plain,
% 1.16/1.48 ((~smaller(hazard_of_mortality(sk3, sk6), hazard_of_mortality(sk3, sk7))) <=> (~smaller(very_low, mod1))),
% 1.16/1.48 inference(monotonicity,[status(thm)],[463])).
% 1.16/1.48 tff(465,plain,
% 1.16/1.48 (~smaller(very_low, mod1)),
% 1.16/1.48 inference(modus_ponens,[status(thm)],[450, 464])).
% 1.16/1.48 tff(466,plain,
% 1.16/1.48 (((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | ((~greater(mod1, low)) | greater(mod1, very_low) | (~greater(low, very_low)))) <=> ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (~greater(mod1, low)) | greater(mod1, very_low) | (~greater(low, very_low)))),
% 1.16/1.48 inference(rewrite,[status(thm)],[])).
% 1.16/1.48 tff(467,plain,
% 1.16/1.48 ((greater(mod1, very_low) | (~greater(low, very_low)) | (~greater(mod1, low))) <=> ((~greater(mod1, low)) | greater(mod1, very_low) | (~greater(low, very_low)))),
% 1.16/1.48 inference(rewrite,[status(thm)],[])).
% 1.16/1.48 tff(468,plain,
% 1.16/1.48 (((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(mod1, very_low) | (~greater(low, very_low)) | (~greater(mod1, low)))) <=> ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | ((~greater(mod1, low)) | greater(mod1, very_low) | (~greater(low, very_low))))),
% 1.16/1.48 inference(monotonicity,[status(thm)],[467])).
% 1.16/1.48 tff(469,plain,
% 1.16/1.48 (((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(mod1, very_low) | (~greater(low, very_low)) | (~greater(mod1, low)))) <=> ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (~greater(mod1, low)) | greater(mod1, very_low) | (~greater(low, very_low)))),
% 1.16/1.48 inference(transitivity,[status(thm)],[468, 466])).
% 1.16/1.48 tff(470,plain,
% 1.16/1.48 ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(mod1, very_low) | (~greater(low, very_low)) | (~greater(mod1, low)))),
% 1.16/1.48 inference(quant_inst,[status(thm)],[])).
% 1.16/1.48 tff(471,plain,
% 1.16/1.48 ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (~greater(mod1, low)) | greater(mod1, very_low) | (~greater(low, very_low))),
% 1.16/1.48 inference(modus_ponens,[status(thm)],[470, 469])).
% 1.16/1.48 tff(472,plain,
% 1.16/1.48 (greater(mod1, very_low)),
% 1.16/1.48 inference(unit_resolution,[status(thm)],[471, 150, 366, 373])).
% 1.16/1.49 tff(473,plain,
% 1.16/1.49 (((~![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))) | ((~greater(mod1, very_low)) | smaller(very_low, mod1))) <=> ((~![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))) | (~greater(mod1, very_low)) | smaller(very_low, mod1))),
% 1.16/1.49 inference(rewrite,[status(thm)],[])).
% 1.16/1.49 tff(474,plain,
% 1.16/1.49 ((~![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))) | ((~greater(mod1, very_low)) | smaller(very_low, mod1))),
% 1.16/1.49 inference(quant_inst,[status(thm)],[])).
% 1.16/1.49 tff(475,plain,
% 1.16/1.49 ((~![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))) | (~greater(mod1, very_low)) | smaller(very_low, mod1)),
% 1.16/1.49 inference(modus_ponens,[status(thm)],[474, 473])).
% 1.16/1.49 tff(476,plain,
% 1.16/1.49 (smaller(very_low, mod1)),
% 1.16/1.49 inference(unit_resolution,[status(thm)],[475, 40, 472])).
% 1.16/1.49 tff(477,plain,
% 1.16/1.49 ($false),
% 1.16/1.49 inference(unit_resolution,[status(thm)],[476, 465])).
% 1.16/1.49 tff(478,plain,((~(hazard_of_mortality(sk3, sk6) = very_low)) | smaller(hazard_of_mortality(sk3, sk6), hazard_of_mortality(sk3, sk7)) | (~(hazard_of_mortality(sk3, sk7) = mod1))), inference(lemma,lemma(discharge,[]))).
% 1.16/1.49 tff(479,plain,
% 1.16/1.49 ((~(hazard_of_mortality(sk3, sk6) = very_low)) | smaller(hazard_of_mortality(sk3, sk6), hazard_of_mortality(sk3, sk7))),
% 1.16/1.49 inference(unit_resolution,[status(thm)],[478, 443])).
% 1.16/1.49 tff(480,plain,
% 1.16/1.49 (~(hazard_of_mortality(sk3, sk6) = very_low)),
% 1.16/1.49 inference(unit_resolution,[status(thm)],[479, 408])).
% 1.16/1.49 tff(481,plain,
% 1.16/1.49 (((~![B: $i, A: $i] : ((~has_immunity(A, B)) | (~organization(A)) | (hazard_of_mortality(A, B) = very_low))) | ((~organization(sk3)) | (~has_immunity(sk3, sk6)) | (hazard_of_mortality(sk3, sk6) = very_low))) <=> ((~![B: $i, A: $i] : ((~has_immunity(A, B)) | (~organization(A)) | (hazard_of_mortality(A, B) = very_low))) | (~organization(sk3)) | (~has_immunity(sk3, sk6)) | (hazard_of_mortality(sk3, sk6) = very_low))),
% 1.16/1.49 inference(rewrite,[status(thm)],[])).
% 1.16/1.49 tff(482,plain,
% 1.16/1.49 (((~has_immunity(sk3, sk6)) | (~organization(sk3)) | (hazard_of_mortality(sk3, sk6) = very_low)) <=> ((~organization(sk3)) | (~has_immunity(sk3, sk6)) | (hazard_of_mortality(sk3, sk6) = very_low))),
% 1.16/1.49 inference(rewrite,[status(thm)],[])).
% 1.16/1.49 tff(483,plain,
% 1.16/1.49 (((~![B: $i, A: $i] : ((~has_immunity(A, B)) | (~organization(A)) | (hazard_of_mortality(A, B) = very_low))) | ((~has_immunity(sk3, sk6)) | (~organization(sk3)) | (hazard_of_mortality(sk3, sk6) = very_low))) <=> ((~![B: $i, A: $i] : ((~has_immunity(A, B)) | (~organization(A)) | (hazard_of_mortality(A, B) = very_low))) | ((~organization(sk3)) | (~has_immunity(sk3, sk6)) | (hazard_of_mortality(sk3, sk6) = very_low)))),
% 1.16/1.49 inference(monotonicity,[status(thm)],[482])).
% 1.16/1.49 tff(484,plain,
% 1.16/1.49 (((~![B: $i, A: $i] : ((~has_immunity(A, B)) | (~organization(A)) | (hazard_of_mortality(A, B) = very_low))) | ((~has_immunity(sk3, sk6)) | (~organization(sk3)) | (hazard_of_mortality(sk3, sk6) = very_low))) <=> ((~![B: $i, A: $i] : ((~has_immunity(A, B)) | (~organization(A)) | (hazard_of_mortality(A, B) = very_low))) | (~organization(sk3)) | (~has_immunity(sk3, sk6)) | (hazard_of_mortality(sk3, sk6) = very_low))),
% 1.16/1.49 inference(transitivity,[status(thm)],[483, 481])).
% 1.16/1.49 tff(485,plain,
% 1.16/1.49 ((~![B: $i, A: $i] : ((~has_immunity(A, B)) | (~organization(A)) | (hazard_of_mortality(A, B) = very_low))) | ((~has_immunity(sk3, sk6)) | (~organization(sk3)) | (hazard_of_mortality(sk3, sk6) = very_low))),
% 1.16/1.49 inference(quant_inst,[status(thm)],[])).
% 1.16/1.49 tff(486,plain,
% 1.16/1.49 ((~![B: $i, A: $i] : ((~has_immunity(A, B)) | (~organization(A)) | (hazard_of_mortality(A, B) = very_low))) | (~organization(sk3)) | (~has_immunity(sk3, sk6)) | (hazard_of_mortality(sk3, sk6) = very_low)),
% 1.16/1.49 inference(modus_ponens,[status(thm)],[485, 484])).
% 1.16/1.49 tff(487,plain,
% 1.16/1.49 ((~has_immunity(sk3, sk6)) | (hazard_of_mortality(sk3, sk6) = very_low)),
% 1.16/1.49 inference(unit_resolution,[status(thm)],[486, 353, 7])).
% 1.16/1.49 tff(488,plain,
% 1.16/1.49 (~has_immunity(sk3, sk6)),
% 1.16/1.49 inference(unit_resolution,[status(thm)],[487, 480])).
% 1.16/1.49 tff(489,plain,
% 1.16/1.49 (greater(age(sk3, sk6), tau) <=> greater(age(sk3, sk6), tau)),
% 1.16/1.49 inference(rewrite,[status(thm)],[])).
% 1.16/1.49 tff(490,axiom,(greater(age(sk3, sk6), tau)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','theorem_10_82')).
% 1.16/1.49 tff(491,plain,
% 1.16/1.49 (greater(age(sk3, sk6), tau)),
% 1.16/1.49 inference(modus_ponens,[status(thm)],[490, 489])).
% 1.16/1.49 tff(492,plain,
% 1.16/1.49 (((~![B: $i, A: $i] : (positional_advantage(A, B) | (~robust_position(A)) | (~greater(age(A, B), tau)))) | ((~greater(age(sk3, sk6), tau)) | (~robust_position(sk3)) | positional_advantage(sk3, sk6))) <=> ((~![B: $i, A: $i] : (positional_advantage(A, B) | (~robust_position(A)) | (~greater(age(A, B), tau)))) | (~greater(age(sk3, sk6), tau)) | (~robust_position(sk3)) | positional_advantage(sk3, sk6))),
% 1.16/1.49 inference(rewrite,[status(thm)],[])).
% 1.16/1.49 tff(493,plain,
% 1.16/1.49 ((positional_advantage(sk3, sk6) | (~robust_position(sk3)) | (~greater(age(sk3, sk6), tau))) <=> ((~greater(age(sk3, sk6), tau)) | (~robust_position(sk3)) | positional_advantage(sk3, sk6))),
% 1.16/1.49 inference(rewrite,[status(thm)],[])).
% 1.16/1.49 tff(494,plain,
% 1.16/1.49 (((~![B: $i, A: $i] : (positional_advantage(A, B) | (~robust_position(A)) | (~greater(age(A, B), tau)))) | (positional_advantage(sk3, sk6) | (~robust_position(sk3)) | (~greater(age(sk3, sk6), tau)))) <=> ((~![B: $i, A: $i] : (positional_advantage(A, B) | (~robust_position(A)) | (~greater(age(A, B), tau)))) | ((~greater(age(sk3, sk6), tau)) | (~robust_position(sk3)) | positional_advantage(sk3, sk6)))),
% 1.16/1.49 inference(monotonicity,[status(thm)],[493])).
% 1.16/1.49 tff(495,plain,
% 1.16/1.49 (((~![B: $i, A: $i] : (positional_advantage(A, B) | (~robust_position(A)) | (~greater(age(A, B), tau)))) | (positional_advantage(sk3, sk6) | (~robust_position(sk3)) | (~greater(age(sk3, sk6), tau)))) <=> ((~![B: $i, A: $i] : (positional_advantage(A, B) | (~robust_position(A)) | (~greater(age(A, B), tau)))) | (~greater(age(sk3, sk6), tau)) | (~robust_position(sk3)) | positional_advantage(sk3, sk6))),
% 1.16/1.49 inference(transitivity,[status(thm)],[494, 492])).
% 1.16/1.49 tff(496,plain,
% 1.16/1.49 ((~![B: $i, A: $i] : (positional_advantage(A, B) | (~robust_position(A)) | (~greater(age(A, B), tau)))) | (positional_advantage(sk3, sk6) | (~robust_position(sk3)) | (~greater(age(sk3, sk6), tau)))),
% 1.16/1.49 inference(quant_inst,[status(thm)],[])).
% 1.16/1.49 tff(497,plain,
% 1.16/1.49 ((~![B: $i, A: $i] : (positional_advantage(A, B) | (~robust_position(A)) | (~greater(age(A, B), tau)))) | (~greater(age(sk3, sk6), tau)) | (~robust_position(sk3)) | positional_advantage(sk3, sk6)),
% 1.16/1.49 inference(modus_ponens,[status(thm)],[496, 495])).
% 1.16/1.49 tff(498,plain,
% 1.16/1.49 (positional_advantage(sk3, sk6)),
% 1.16/1.49 inference(unit_resolution,[status(thm)],[497, 130, 59, 491])).
% 1.16/1.49 tff(499,plain,
% 1.16/1.49 (((~![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(sk3)) | (~positional_advantage(sk3, sk6)) | has_immunity(sk3, sk6) | (hazard_of_mortality(sk3, sk6) = low) | (~is_aligned(sk3, sk6)))) <=> ((~![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(sk3)) | (~positional_advantage(sk3, sk6)) | has_immunity(sk3, sk6) | (hazard_of_mortality(sk3, sk6) = low) | (~is_aligned(sk3, sk6)))),
% 1.16/1.49 inference(rewrite,[status(thm)],[])).
% 1.16/1.49 tff(500,plain,
% 1.16/1.49 ((has_immunity(sk3, sk6) | (~organization(sk3)) | (~positional_advantage(sk3, sk6)) | (hazard_of_mortality(sk3, sk6) = low) | (~is_aligned(sk3, sk6))) <=> ((~organization(sk3)) | (~positional_advantage(sk3, sk6)) | has_immunity(sk3, sk6) | (hazard_of_mortality(sk3, sk6) = low) | (~is_aligned(sk3, sk6)))),
% 1.16/1.49 inference(rewrite,[status(thm)],[])).
% 1.16/1.49 tff(501,plain,
% 1.16/1.49 (((~![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(sk3, sk6) | (~organization(sk3)) | (~positional_advantage(sk3, sk6)) | (hazard_of_mortality(sk3, sk6) = low) | (~is_aligned(sk3, sk6)))) <=> ((~![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(sk3)) | (~positional_advantage(sk3, sk6)) | has_immunity(sk3, sk6) | (hazard_of_mortality(sk3, sk6) = low) | (~is_aligned(sk3, sk6))))),
% 1.26/1.50 inference(monotonicity,[status(thm)],[500])).
% 1.26/1.50 tff(502,plain,
% 1.26/1.50 (((~![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(sk3, sk6) | (~organization(sk3)) | (~positional_advantage(sk3, sk6)) | (hazard_of_mortality(sk3, sk6) = low) | (~is_aligned(sk3, sk6)))) <=> ((~![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(sk3)) | (~positional_advantage(sk3, sk6)) | has_immunity(sk3, sk6) | (hazard_of_mortality(sk3, sk6) = low) | (~is_aligned(sk3, sk6)))),
% 1.26/1.50 inference(transitivity,[status(thm)],[501, 499])).
% 1.26/1.50 tff(503,plain,
% 1.26/1.50 ((~![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(sk3, sk6) | (~organization(sk3)) | (~positional_advantage(sk3, sk6)) | (hazard_of_mortality(sk3, sk6) = low) | (~is_aligned(sk3, sk6)))),
% 1.26/1.50 inference(quant_inst,[status(thm)],[])).
% 1.26/1.50 tff(504,plain,
% 1.26/1.50 ((~![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(sk3)) | (~positional_advantage(sk3, sk6)) | has_immunity(sk3, sk6) | (hazard_of_mortality(sk3, sk6) = low) | (~is_aligned(sk3, sk6))),
% 1.26/1.50 inference(modus_ponens,[status(thm)],[503, 502])).
% 1.26/1.50 tff(505,plain,
% 1.26/1.50 (has_immunity(sk3, sk6) | (hazard_of_mortality(sk3, sk6) = low) | (~is_aligned(sk3, sk6))),
% 1.26/1.50 inference(unit_resolution,[status(thm)],[504, 266, 7, 498])).
% 1.26/1.50 tff(506,plain,
% 1.26/1.50 (~is_aligned(sk3, sk6)),
% 1.26/1.50 inference(unit_resolution,[status(thm)],[505, 488, 458])).
% 1.26/1.50 tff(507,plain,
% 1.26/1.50 (((~![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | is_aligned(A, C) | (~is_aligned(A, B)) | (~organization(A)))) | ((~organization(sk3)) | is_aligned(sk3, sk6) | (~is_aligned(sk3, sk4)) | dissimilar(sk3, sk4, sk6))) <=> ((~![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | is_aligned(A, C) | (~is_aligned(A, B)) | (~organization(A)))) | (~organization(sk3)) | is_aligned(sk3, sk6) | (~is_aligned(sk3, sk4)) | dissimilar(sk3, sk4, sk6))),
% 1.26/1.50 inference(rewrite,[status(thm)],[])).
% 1.26/1.50 tff(508,plain,
% 1.26/1.50 ((dissimilar(sk3, sk4, sk6) | is_aligned(sk3, sk6) | (~is_aligned(sk3, sk4)) | (~organization(sk3))) <=> ((~organization(sk3)) | is_aligned(sk3, sk6) | (~is_aligned(sk3, sk4)) | dissimilar(sk3, sk4, sk6))),
% 1.26/1.50 inference(rewrite,[status(thm)],[])).
% 1.26/1.50 tff(509,plain,
% 1.26/1.50 (((~![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | is_aligned(A, C) | (~is_aligned(A, B)) | (~organization(A)))) | (dissimilar(sk3, sk4, sk6) | is_aligned(sk3, sk6) | (~is_aligned(sk3, sk4)) | (~organization(sk3)))) <=> ((~![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | is_aligned(A, C) | (~is_aligned(A, B)) | (~organization(A)))) | ((~organization(sk3)) | is_aligned(sk3, sk6) | (~is_aligned(sk3, sk4)) | dissimilar(sk3, sk4, sk6)))),
% 1.26/1.50 inference(monotonicity,[status(thm)],[508])).
% 1.26/1.50 tff(510,plain,
% 1.26/1.50 (((~![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | is_aligned(A, C) | (~is_aligned(A, B)) | (~organization(A)))) | (dissimilar(sk3, sk4, sk6) | is_aligned(sk3, sk6) | (~is_aligned(sk3, sk4)) | (~organization(sk3)))) <=> ((~![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | is_aligned(A, C) | (~is_aligned(A, B)) | (~organization(A)))) | (~organization(sk3)) | is_aligned(sk3, sk6) | (~is_aligned(sk3, sk4)) | dissimilar(sk3, sk4, sk6))),
% 1.26/1.50 inference(transitivity,[status(thm)],[509, 507])).
% 1.26/1.50 tff(511,plain,
% 1.26/1.50 ((~![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | is_aligned(A, C) | (~is_aligned(A, B)) | (~organization(A)))) | (dissimilar(sk3, sk4, sk6) | is_aligned(sk3, sk6) | (~is_aligned(sk3, sk4)) | (~organization(sk3)))),
% 1.26/1.50 inference(quant_inst,[status(thm)],[])).
% 1.26/1.50 tff(512,plain,
% 1.26/1.50 ((~![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | is_aligned(A, C) | (~is_aligned(A, B)) | (~organization(A)))) | (~organization(sk3)) | is_aligned(sk3, sk6) | (~is_aligned(sk3, sk4)) | dissimilar(sk3, sk4, sk6)),
% 1.26/1.50 inference(modus_ponens,[status(thm)],[511, 510])).
% 1.26/1.50 tff(513,plain,
% 1.26/1.50 (is_aligned(sk3, sk6) | dissimilar(sk3, sk4, sk6)),
% 1.26/1.50 inference(unit_resolution,[status(thm)],[512, 187, 7, 88])).
% 1.26/1.50 tff(514,plain,
% 1.26/1.50 (dissimilar(sk3, sk4, sk6)),
% 1.26/1.50 inference(unit_resolution,[status(thm)],[513, 506])).
% 1.26/1.50 tff(515,plain,
% 1.26/1.50 (((~![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = zero)))) | ((~organization(sk3)) | (~(age(sk3, sk4) = zero)) | greater(age(sk3, sk6), sigma) | (~dissimilar(sk3, sk4, sk6)))) <=> ((~![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = zero)))) | (~organization(sk3)) | (~(age(sk3, sk4) = zero)) | greater(age(sk3, sk6), sigma) | (~dissimilar(sk3, sk4, sk6)))),
% 1.26/1.50 inference(rewrite,[status(thm)],[])).
% 1.26/1.50 tff(516,plain,
% 1.26/1.50 (((~dissimilar(sk3, sk4, sk6)) | (~organization(sk3)) | greater(age(sk3, sk6), sigma) | (~(age(sk3, sk4) = zero))) <=> ((~organization(sk3)) | (~(age(sk3, sk4) = zero)) | greater(age(sk3, sk6), sigma) | (~dissimilar(sk3, sk4, sk6)))),
% 1.26/1.50 inference(rewrite,[status(thm)],[])).
% 1.26/1.50 tff(517,plain,
% 1.26/1.50 (((~![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = zero)))) | ((~dissimilar(sk3, sk4, sk6)) | (~organization(sk3)) | greater(age(sk3, sk6), sigma) | (~(age(sk3, sk4) = zero)))) <=> ((~![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = zero)))) | ((~organization(sk3)) | (~(age(sk3, sk4) = zero)) | greater(age(sk3, sk6), sigma) | (~dissimilar(sk3, sk4, sk6))))),
% 1.26/1.50 inference(monotonicity,[status(thm)],[516])).
% 1.26/1.50 tff(518,plain,
% 1.26/1.50 (((~![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = zero)))) | ((~dissimilar(sk3, sk4, sk6)) | (~organization(sk3)) | greater(age(sk3, sk6), sigma) | (~(age(sk3, sk4) = zero)))) <=> ((~![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = zero)))) | (~organization(sk3)) | (~(age(sk3, sk4) = zero)) | greater(age(sk3, sk6), sigma) | (~dissimilar(sk3, sk4, sk6)))),
% 1.26/1.50 inference(transitivity,[status(thm)],[517, 515])).
% 1.26/1.50 tff(519,plain,
% 1.26/1.50 ((~![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = zero)))) | ((~dissimilar(sk3, sk4, sk6)) | (~organization(sk3)) | greater(age(sk3, sk6), sigma) | (~(age(sk3, sk4) = zero)))),
% 1.26/1.50 inference(quant_inst,[status(thm)],[])).
% 1.26/1.50 tff(520,plain,
% 1.26/1.50 ((~![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = zero)))) | (~organization(sk3)) | (~(age(sk3, sk4) = zero)) | greater(age(sk3, sk6), sigma) | (~dissimilar(sk3, sk4, sk6))),
% 1.26/1.50 inference(modus_ponens,[status(thm)],[519, 518])).
% 1.26/1.50 tff(521,plain,
% 1.26/1.50 (greater(age(sk3, sk6), sigma)),
% 1.26/1.50 inference(unit_resolution,[status(thm)],[520, 169, 7, 28, 514])).
% 1.26/1.50 tff(522,plain,
% 1.26/1.50 (^[B: $i, A: $i] : refl(((~greater(A, B)) | (~greater(B, A))) <=> ((~greater(A, B)) | (~greater(B, A))))),
% 1.26/1.50 inference(bind,[status(th)],[])).
% 1.26/1.50 tff(523,plain,
% 1.26/1.50 (![B: $i, A: $i] : ((~greater(A, B)) | (~greater(B, A))) <=> ![B: $i, A: $i] : ((~greater(A, B)) | (~greater(B, A)))),
% 1.26/1.50 inference(quant_intro,[status(thm)],[522])).
% 1.26/1.50 tff(524,plain,
% 1.26/1.50 (![B: $i, A: $i] : ((~greater(A, B)) | (~greater(B, A))) <=> ![B: $i, A: $i] : ((~greater(A, B)) | (~greater(B, A)))),
% 1.26/1.50 inference(rewrite,[status(thm)],[])).
% 1.26/1.50 tff(525,axiom,(![B: $i, A: $i] : ((~greater(A, B)) | (~greater(B, A)))), file('/export/starexec/sandbox2/benchmark/Axioms/MGT001-0.ax','meaning_postulate_greater_strict_9')).
% 1.26/1.50 tff(526,plain,
% 1.26/1.50 (![B: $i, A: $i] : ((~greater(A, B)) | (~greater(B, A)))),
% 1.26/1.50 inference(modus_ponens,[status(thm)],[525, 524])).
% 1.26/1.50 tff(527,plain,(
% 1.26/1.50 ![B: $i, A: $i] : ((~greater(A, B)) | (~greater(B, A)))),
% 1.26/1.50 inference(skolemize,[status(sab)],[526])).
% 1.26/1.51 tff(528,plain,
% 1.26/1.51 (![B: $i, A: $i] : ((~greater(A, B)) | (~greater(B, A)))),
% 1.26/1.51 inference(modus_ponens,[status(thm)],[527, 523])).
% 1.26/1.51 tff(529,plain,
% 1.26/1.51 (((~![B: $i, A: $i] : ((~greater(A, B)) | (~greater(B, A)))) | ((~greater(sigma, age(sk3, sk6))) | (~greater(age(sk3, sk6), sigma)))) <=> ((~![B: $i, A: $i] : ((~greater(A, B)) | (~greater(B, A)))) | (~greater(sigma, age(sk3, sk6))) | (~greater(age(sk3, sk6), sigma)))),
% 1.26/1.51 inference(rewrite,[status(thm)],[])).
% 1.26/1.51 tff(530,plain,
% 1.26/1.51 ((~![B: $i, A: $i] : ((~greater(A, B)) | (~greater(B, A)))) | ((~greater(sigma, age(sk3, sk6))) | (~greater(age(sk3, sk6), sigma)))),
% 1.26/1.51 inference(quant_inst,[status(thm)],[])).
% 1.26/1.51 tff(531,plain,
% 1.26/1.51 ((~![B: $i, A: $i] : ((~greater(A, B)) | (~greater(B, A)))) | (~greater(sigma, age(sk3, sk6))) | (~greater(age(sk3, sk6), sigma))),
% 1.26/1.51 inference(modus_ponens,[status(thm)],[530, 529])).
% 1.26/1.51 tff(532,plain,
% 1.26/1.51 (~greater(sigma, age(sk3, sk6))),
% 1.26/1.51 inference(unit_resolution,[status(thm)],[531, 528, 521])).
% 1.26/1.51 tff(533,plain,
% 1.26/1.51 (^[B: $i, A: $i] : refl(((~smaller(A, B)) | greater(B, A)) <=> ((~smaller(A, B)) | greater(B, A)))),
% 1.26/1.51 inference(bind,[status(th)],[])).
% 1.26/1.51 tff(534,plain,
% 1.26/1.51 (![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A)) <=> ![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))),
% 1.26/1.51 inference(quant_intro,[status(thm)],[533])).
% 1.26/1.51 tff(535,plain,
% 1.26/1.51 (![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A)) <=> ![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))),
% 1.26/1.51 inference(rewrite,[status(thm)],[])).
% 1.26/1.51 tff(536,axiom,(![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))), file('/export/starexec/sandbox2/benchmark/Axioms/MGT001-0.ax','definition_smaller_7')).
% 1.26/1.51 tff(537,plain,
% 1.26/1.51 (![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))),
% 1.26/1.51 inference(modus_ponens,[status(thm)],[536, 535])).
% 1.26/1.51 tff(538,plain,(
% 1.26/1.51 ![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))),
% 1.26/1.51 inference(skolemize,[status(sab)],[537])).
% 1.26/1.51 tff(539,plain,
% 1.26/1.51 (![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))),
% 1.26/1.51 inference(modus_ponens,[status(thm)],[538, 534])).
% 1.26/1.51 tff(540,plain,
% 1.26/1.51 (((~![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))) | ((~smaller(age(sk3, sk6), sigma)) | greater(sigma, age(sk3, sk6)))) <=> ((~![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))) | (~smaller(age(sk3, sk6), sigma)) | greater(sigma, age(sk3, sk6)))),
% 1.26/1.51 inference(rewrite,[status(thm)],[])).
% 1.26/1.51 tff(541,plain,
% 1.26/1.51 ((~![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))) | ((~smaller(age(sk3, sk6), sigma)) | greater(sigma, age(sk3, sk6)))),
% 1.26/1.51 inference(quant_inst,[status(thm)],[])).
% 1.26/1.51 tff(542,plain,
% 1.26/1.51 ((~![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))) | (~smaller(age(sk3, sk6), sigma)) | greater(sigma, age(sk3, sk6))),
% 1.26/1.51 inference(modus_ponens,[status(thm)],[541, 540])).
% 1.26/1.51 tff(543,plain,
% 1.26/1.51 (~smaller(age(sk3, sk6), sigma)),
% 1.26/1.51 inference(unit_resolution,[status(thm)],[542, 539, 532])).
% 1.26/1.51 tff(544,plain,
% 1.26/1.51 (smaller_or_equal(age(sk3, sk6), sigma) <=> smaller_or_equal(age(sk3, sk6), sigma)),
% 1.26/1.51 inference(rewrite,[status(thm)],[])).
% 1.26/1.51 tff(545,axiom,(smaller_or_equal(age(sk3, sk6), sigma)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','theorem_10_83')).
% 1.26/1.51 tff(546,plain,
% 1.26/1.51 (smaller_or_equal(age(sk3, sk6), sigma)),
% 1.26/1.51 inference(modus_ponens,[status(thm)],[545, 544])).
% 1.26/1.51 tff(547,plain,
% 1.26/1.51 (^[B: $i, A: $i] : refl(((A = B) | smaller(A, B) | (~smaller_or_equal(A, B))) <=> ((A = B) | smaller(A, B) | (~smaller_or_equal(A, B))))),
% 1.26/1.51 inference(bind,[status(th)],[])).
% 1.26/1.51 tff(548,plain,
% 1.26/1.51 (![B: $i, A: $i] : ((A = B) | smaller(A, B) | (~smaller_or_equal(A, B))) <=> ![B: $i, A: $i] : ((A = B) | smaller(A, B) | (~smaller_or_equal(A, B)))),
% 1.26/1.51 inference(quant_intro,[status(thm)],[547])).
% 1.26/1.51 tff(549,plain,
% 1.26/1.51 (![B: $i, A: $i] : ((A = B) | smaller(A, B) | (~smaller_or_equal(A, B))) <=> ![B: $i, A: $i] : ((A = B) | smaller(A, B) | (~smaller_or_equal(A, B)))),
% 1.26/1.51 inference(rewrite,[status(thm)],[])).
% 1.26/1.51 tff(550,plain,
% 1.26/1.51 (^[B: $i, A: $i] : rewrite((((~smaller_or_equal(A, B)) | smaller(A, B)) | (A = B)) <=> ((A = B) | smaller(A, B) | (~smaller_or_equal(A, B))))),
% 1.26/1.51 inference(bind,[status(th)],[])).
% 1.26/1.51 tff(551,plain,
% 1.26/1.52 (![B: $i, A: $i] : (((~smaller_or_equal(A, B)) | smaller(A, B)) | (A = B)) <=> ![B: $i, A: $i] : ((A = B) | smaller(A, B) | (~smaller_or_equal(A, B)))),
% 1.26/1.52 inference(quant_intro,[status(thm)],[550])).
% 1.26/1.52 tff(552,axiom,(![B: $i, A: $i] : (((~smaller_or_equal(A, B)) | smaller(A, B)) | (A = B))), file('/export/starexec/sandbox2/benchmark/Axioms/MGT001-0.ax','definition_smaller_or_equal_1')).
% 1.26/1.52 tff(553,plain,
% 1.26/1.52 (![B: $i, A: $i] : ((A = B) | smaller(A, B) | (~smaller_or_equal(A, B)))),
% 1.26/1.52 inference(modus_ponens,[status(thm)],[552, 551])).
% 1.26/1.52 tff(554,plain,
% 1.26/1.52 (![B: $i, A: $i] : ((A = B) | smaller(A, B) | (~smaller_or_equal(A, B)))),
% 1.26/1.52 inference(modus_ponens,[status(thm)],[553, 549])).
% 1.26/1.52 tff(555,plain,(
% 1.26/1.52 ![B: $i, A: $i] : ((A = B) | smaller(A, B) | (~smaller_or_equal(A, B)))),
% 1.26/1.52 inference(skolemize,[status(sab)],[554])).
% 1.26/1.52 tff(556,plain,
% 1.26/1.52 (![B: $i, A: $i] : ((A = B) | smaller(A, B) | (~smaller_or_equal(A, B)))),
% 1.26/1.52 inference(modus_ponens,[status(thm)],[555, 548])).
% 1.26/1.52 tff(557,plain,
% 1.26/1.52 (((~![B: $i, A: $i] : ((A = B) | smaller(A, B) | (~smaller_or_equal(A, B)))) | ((age(sk3, sk6) = sigma) | smaller(age(sk3, sk6), sigma) | (~smaller_or_equal(age(sk3, sk6), sigma)))) <=> ((~![B: $i, A: $i] : ((A = B) | smaller(A, B) | (~smaller_or_equal(A, B)))) | (age(sk3, sk6) = sigma) | smaller(age(sk3, sk6), sigma) | (~smaller_or_equal(age(sk3, sk6), sigma)))),
% 1.26/1.52 inference(rewrite,[status(thm)],[])).
% 1.26/1.52 tff(558,plain,
% 1.26/1.52 ((~![B: $i, A: $i] : ((A = B) | smaller(A, B) | (~smaller_or_equal(A, B)))) | ((age(sk3, sk6) = sigma) | smaller(age(sk3, sk6), sigma) | (~smaller_or_equal(age(sk3, sk6), sigma)))),
% 1.26/1.52 inference(quant_inst,[status(thm)],[])).
% 1.26/1.52 tff(559,plain,
% 1.26/1.52 ((~![B: $i, A: $i] : ((A = B) | smaller(A, B) | (~smaller_or_equal(A, B)))) | (age(sk3, sk6) = sigma) | smaller(age(sk3, sk6), sigma) | (~smaller_or_equal(age(sk3, sk6), sigma))),
% 1.26/1.52 inference(modus_ponens,[status(thm)],[558, 557])).
% 1.26/1.52 tff(560,plain,
% 1.26/1.52 ((age(sk3, sk6) = sigma) | smaller(age(sk3, sk6), sigma)),
% 1.26/1.52 inference(unit_resolution,[status(thm)],[559, 556, 546])).
% 1.26/1.52 tff(561,plain,
% 1.26/1.52 (age(sk3, sk6) = sigma),
% 1.26/1.52 inference(unit_resolution,[status(thm)],[560, 543])).
% 1.26/1.52 tff(562,plain,
% 1.26/1.52 (sigma = age(sk3, sk6)),
% 1.26/1.52 inference(symmetry,[status(thm)],[561])).
% 1.26/1.52 tff(563,plain,
% 1.26/1.52 (greater(age(sk3, sk6), sigma) <=> greater(sigma, age(sk3, sk6))),
% 1.26/1.52 inference(monotonicity,[status(thm)],[561, 562])).
% 1.26/1.52 tff(564,plain,
% 1.26/1.52 (greater(sigma, age(sk3, sk6)) <=> greater(age(sk3, sk6), sigma)),
% 1.26/1.52 inference(symmetry,[status(thm)],[563])).
% 1.26/1.52 tff(565,plain,
% 1.26/1.52 ((~greater(sigma, age(sk3, sk6))) <=> (~greater(age(sk3, sk6), sigma))),
% 1.26/1.52 inference(monotonicity,[status(thm)],[564])).
% 1.26/1.52 tff(566,plain,
% 1.26/1.52 (~greater(age(sk3, sk6), sigma)),
% 1.26/1.52 inference(modus_ponens,[status(thm)],[532, 565])).
% 1.26/1.52 tff(567,plain,
% 1.26/1.52 ($false),
% 1.26/1.52 inference(unit_resolution,[status(thm)],[521, 566])).
% 1.26/1.52 % SZS output end Proof
% 1.26/1.52 % E exiting
%------------------------------------------------------------------------------