%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : MGT063-1 : TPTP v9.3.0. Released v2.4.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : run_E %s %d THM
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 8 06:24:10 AM UTC 2026
% Result : Unsatisfiable 0.32s 0.62s
% Output : Proof 0.47s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT063-1 : TPTP v9.3.0. Released v2.4.0.
% 0.00/0.02 % Command : run_E %s %d THM
% 0.06/0.33 % Computer : n015.cluster.edu
% 0.06/0.33 % Model : x86_64 x86_64
% 0.06/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.33 % Memory : 8046.5625MB
% 0.06/0.33 % OS : Linux 6.8.0-71-generic
% 0.06/0.33 % CPULimit : 300
% 0.06/0.33 % WCLimit : 300
% 0.06/0.33 % DateTime : Mon Sep 7 13:45:04 UTC 2026
% 0.06/0.33 % CPUTime :
% 0.32/0.62 % SZS status Unsatisfiable
% 0.32/0.62 % SZS output start Proof
% 0.32/0.62 tff(dissimilar_type, type, (
% 0.32/0.62 dissimilar: ( $i * $i * $i ) > $o)).
% 0.32/0.62 tff(sk6_type, type, (
% 0.32/0.62 sk6: $i)).
% 0.32/0.62 tff(sk4_type, type, (
% 0.32/0.62 sk4: $i)).
% 0.32/0.62 tff(sk3_type, type, (
% 0.32/0.62 sk3: $i)).
% 0.32/0.62 tff(greater_type, type, (
% 0.32/0.62 greater: ( $i * $i ) > $o)).
% 0.32/0.62 tff(sigma_type, type, (
% 0.32/0.62 sigma: $i)).
% 0.32/0.62 tff(age_type, type, (
% 0.32/0.62 age: ( $i * $i ) > $i)).
% 0.32/0.62 tff(zero_type, type, (
% 0.32/0.62 zero: $i)).
% 0.32/0.62 tff(organization_type, type, (
% 0.32/0.62 organization: $i > $o)).
% 0.32/0.62 tff(is_aligned_type, type, (
% 0.32/0.62 is_aligned: ( $i * $i ) > $o)).
% 0.32/0.62 tff(high_type, type, (
% 0.32/0.62 high: $i)).
% 0.32/0.62 tff(hazard_of_mortality_type, type, (
% 0.32/0.62 hazard_of_mortality: ( $i * $i ) > $i)).
% 0.32/0.62 tff(smaller_type, type, (
% 0.32/0.62 smaller: ( $i * $i ) > $o)).
% 0.32/0.62 tff(sk5_type, type, (
% 0.32/0.62 sk5: $i)).
% 0.32/0.62 tff(mod2_type, type, (
% 0.32/0.62 mod2: $i)).
% 0.32/0.62 tff(has_immunity_type, type, (
% 0.32/0.62 has_immunity: ( $i * $i ) > $o)).
% 0.32/0.62 tff(has_endowment_type, type, (
% 0.32/0.62 has_endowment: $i > $o)).
% 0.32/0.62 tff(positional_advantage_type, type, (
% 0.32/0.62 positional_advantage: ( $i * $i ) > $o)).
% 0.32/0.62 tff(smaller_or_equal_type, type, (
% 0.32/0.62 smaller_or_equal: ( $i * $i ) > $o)).
% 0.32/0.62 tff(tau_type, type, (
% 0.32/0.62 tau: $i)).
% 0.32/0.62 tff(robust_position_type, type, (
% 0.32/0.62 robust_position: $i > $o)).
% 0.32/0.62 tff(sk7_type, type, (
% 0.32/0.62 sk7: $i)).
% 0.32/0.62 tff(mod1_type, type, (
% 0.32/0.62 mod1: $i)).
% 0.32/0.62 tff(low_type, type, (
% 0.32/0.62 low: $i)).
% 0.32/0.62 tff(1,plain,
% 0.32/0.62 (greater(age(sk3, sk6), sigma) <=> greater(age(sk3, sk6), sigma)),
% 0.32/0.62 inference(rewrite,[status(thm)],[])).
% 0.32/0.62 tff(2,axiom,(greater(age(sk3, sk6), sigma)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','theorem_9_82')).
% 0.32/0.62 tff(3,plain,
% 0.32/0.62 (greater(age(sk3, sk6), sigma)),
% 0.32/0.62 inference(modus_ponens,[status(thm)],[2, 1])).
% 0.32/0.62 tff(4,plain,
% 0.32/0.62 ((age(sk3, sk4) = zero) <=> (age(sk3, sk4) = zero)),
% 0.32/0.62 inference(rewrite,[status(thm)],[])).
% 0.32/0.62 tff(5,axiom,(age(sk3, sk4) = zero), file('/export/starexec/sandbox/benchmark/theBenchmark.p','theorem_9_77')).
% 0.32/0.62 tff(6,plain,
% 0.32/0.62 (age(sk3, sk4) = zero),
% 0.32/0.62 inference(modus_ponens,[status(thm)],[5, 4])).
% 0.32/0.62 tff(7,plain,
% 0.32/0.62 (organization(sk3) <=> organization(sk3)),
% 0.32/0.62 inference(rewrite,[status(thm)],[])).
% 0.32/0.62 tff(8,axiom,(organization(sk3)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','theorem_9_74')).
% 0.32/0.62 tff(9,plain,
% 0.32/0.62 (organization(sk3)),
% 0.32/0.62 inference(modus_ponens,[status(thm)],[8, 7])).
% 0.32/0.62 tff(10,plain,
% 0.32/0.62 (^[B: $i, A: $i, C: $i] : refl((dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = zero))) <=> (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = zero))))),
% 0.32/0.62 inference(bind,[status(th)],[])).
% 0.32/0.62 tff(11,plain,
% 0.32/0.62 (![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = zero))) <=> ![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = zero)))),
% 0.32/0.62 inference(quant_intro,[status(thm)],[10])).
% 0.32/0.62 tff(12,plain,
% 0.32/0.62 (![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = zero))) <=> ![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = zero)))),
% 0.32/0.62 inference(rewrite,[status(thm)],[])).
% 0.32/0.62 tff(13,plain,
% 0.32/0.62 (^[B: $i, A: $i, C: $i] : trans(monotonicity(rewrite((((~organization(A)) | (~(age(A, B) = zero))) | (~greater(age(A, C), sigma))) <=> ((~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = zero)))), (((((~organization(A)) | (~(age(A, B) = zero))) | (~greater(age(A, C), sigma))) | dissimilar(A, B, C)) <=> (((~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = zero))) | dissimilar(A, B, C)))), rewrite((((~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = zero))) | dissimilar(A, B, C)) <=> (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = zero)))), (((((~organization(A)) | (~(age(A, B) = zero))) | (~greater(age(A, C), sigma))) | dissimilar(A, B, C)) <=> (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = zero)))))),
% 0.32/0.62 inference(bind,[status(th)],[])).
% 0.32/0.62 tff(14,plain,
% 0.32/0.62 (![B: $i, A: $i, C: $i] : ((((~organization(A)) | (~(age(A, B) = zero))) | (~greater(age(A, C), sigma))) | dissimilar(A, B, C)) <=> ![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = zero)))),
% 0.32/0.62 inference(quant_intro,[status(thm)],[13])).
% 0.32/0.62 tff(15,axiom,(![B: $i, A: $i, C: $i] : ((((~organization(A)) | (~(age(A, B) = zero))) | (~greater(age(A, C), sigma))) | dissimilar(A, B, C))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','assumption_15_55')).
% 0.32/0.62 tff(16,plain,
% 0.32/0.62 (![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = zero)))),
% 0.32/0.62 inference(modus_ponens,[status(thm)],[15, 14])).
% 0.32/0.62 tff(17,plain,
% 0.32/0.62 (![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = zero)))),
% 0.32/0.62 inference(modus_ponens,[status(thm)],[16, 12])).
% 0.32/0.62 tff(18,plain,(
% 0.32/0.62 ![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = zero)))),
% 0.32/0.62 inference(skolemize,[status(sab)],[17])).
% 0.32/0.62 tff(19,plain,
% 0.32/0.62 (![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = zero)))),
% 0.32/0.62 inference(modus_ponens,[status(thm)],[18, 11])).
% 0.32/0.62 tff(20,plain,
% 0.32/0.62 (((~![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = zero)))) | ((~greater(age(sk3, sk6), sigma)) | (~organization(sk3)) | (~(age(sk3, sk4) = zero)) | 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)))) | (~greater(age(sk3, sk6), sigma)) | (~organization(sk3)) | (~(age(sk3, sk4) = zero)) | dissimilar(sk3, sk4, sk6))),
% 0.32/0.62 inference(rewrite,[status(thm)],[])).
% 0.32/0.62 tff(21,plain,
% 0.32/0.62 ((dissimilar(sk3, sk4, sk6) | (~organization(sk3)) | (~greater(age(sk3, sk6), sigma)) | (~(age(sk3, sk4) = zero))) <=> ((~greater(age(sk3, sk6), sigma)) | (~organization(sk3)) | (~(age(sk3, sk4) = zero)) | dissimilar(sk3, sk4, sk6))),
% 0.32/0.62 inference(rewrite,[status(thm)],[])).
% 0.32/0.62 tff(22,plain,
% 0.32/0.62 (((~![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)))) | ((~greater(age(sk3, sk6), sigma)) | (~organization(sk3)) | (~(age(sk3, sk4) = zero)) | dissimilar(sk3, sk4, sk6)))),
% 0.32/0.62 inference(monotonicity,[status(thm)],[21])).
% 0.32/0.62 tff(23,plain,
% 0.32/0.62 (((~![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)))) | (~greater(age(sk3, sk6), sigma)) | (~organization(sk3)) | (~(age(sk3, sk4) = zero)) | dissimilar(sk3, sk4, sk6))),
% 0.32/0.63 inference(transitivity,[status(thm)],[22, 20])).
% 0.32/0.63 tff(24,plain,
% 0.32/0.63 ((~![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)))),
% 0.32/0.63 inference(quant_inst,[status(thm)],[])).
% 0.32/0.63 tff(25,plain,
% 0.32/0.63 ((~![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = zero)))) | (~greater(age(sk3, sk6), sigma)) | (~organization(sk3)) | (~(age(sk3, sk4) = zero)) | dissimilar(sk3, sk4, sk6)),
% 0.32/0.63 inference(modus_ponens,[status(thm)],[24, 23])).
% 0.32/0.63 tff(26,plain,
% 0.32/0.63 (dissimilar(sk3, sk4, sk6)),
% 0.32/0.63 inference(unit_resolution,[status(thm)],[25, 19, 9, 6, 3])).
% 0.32/0.63 tff(27,assumption,(has_immunity(sk3, sk4)), introduced(assumption)).
% 0.32/0.63 tff(28,plain,
% 0.32/0.63 ((~has_endowment(sk3)) <=> (~has_endowment(sk3))),
% 0.40/0.63 inference(rewrite,[status(thm)],[])).
% 0.40/0.63 tff(29,axiom,(~has_endowment(sk3)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','theorem_9_76')).
% 0.40/0.63 tff(30,plain,
% 0.40/0.63 (~has_endowment(sk3)),
% 0.40/0.63 inference(modus_ponens,[status(thm)],[29, 28])).
% 0.40/0.63 tff(31,plain,
% 0.40/0.63 (^[B: $i, A: $i] : refl((has_endowment(A) | (~has_immunity(A, B)) | (~organization(A))) <=> (has_endowment(A) | (~has_immunity(A, B)) | (~organization(A))))),
% 0.40/0.63 inference(bind,[status(th)],[])).
% 0.40/0.63 tff(32,plain,
% 0.40/0.63 (![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)))),
% 0.40/0.63 inference(quant_intro,[status(thm)],[31])).
% 0.40/0.63 tff(33,plain,
% 0.40/0.63 (![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)))),
% 0.40/0.63 inference(rewrite,[status(thm)],[])).
% 0.40/0.63 tff(34,plain,
% 0.40/0.63 (^[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)))))),
% 0.40/0.63 inference(bind,[status(th)],[])).
% 0.40/0.63 tff(35,plain,
% 0.40/0.63 (![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)))),
% 0.40/0.63 inference(quant_intro,[status(thm)],[34])).
% 0.40/0.63 tff(36,axiom,(![B: $i, A: $i] : (((~organization(A)) | has_endowment(A)) | (~has_immunity(A, B)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','assumption_1_46')).
% 0.40/0.63 tff(37,plain,
% 0.40/0.63 (![B: $i, A: $i] : (has_endowment(A) | (~has_immunity(A, B)) | (~organization(A)))),
% 0.40/0.63 inference(modus_ponens,[status(thm)],[36, 35])).
% 0.40/0.63 tff(38,plain,
% 0.40/0.63 (![B: $i, A: $i] : (has_endowment(A) | (~has_immunity(A, B)) | (~organization(A)))),
% 0.40/0.63 inference(modus_ponens,[status(thm)],[37, 33])).
% 0.40/0.63 tff(39,plain,(
% 0.40/0.63 ![B: $i, A: $i] : (has_endowment(A) | (~has_immunity(A, B)) | (~organization(A)))),
% 0.40/0.63 inference(skolemize,[status(sab)],[38])).
% 0.40/0.63 tff(40,plain,
% 0.40/0.63 (![B: $i, A: $i] : (has_endowment(A) | (~has_immunity(A, B)) | (~organization(A)))),
% 0.40/0.63 inference(modus_ponens,[status(thm)],[39, 32])).
% 0.40/0.63 tff(41,plain,
% 0.40/0.63 (((~![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)))),
% 0.40/0.63 inference(rewrite,[status(thm)],[])).
% 0.40/0.63 tff(42,plain,
% 0.40/0.63 ((has_endowment(sk3) | (~has_immunity(sk3, sk4)) | (~organization(sk3))) <=> (has_endowment(sk3) | (~organization(sk3)) | (~has_immunity(sk3, sk4)))),
% 0.40/0.63 inference(rewrite,[status(thm)],[])).
% 0.40/0.63 tff(43,plain,
% 0.40/0.63 (((~![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))))),
% 0.40/0.63 inference(monotonicity,[status(thm)],[42])).
% 0.40/0.63 tff(44,plain,
% 0.40/0.63 (((~![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)))),
% 0.40/0.63 inference(transitivity,[status(thm)],[43, 41])).
% 0.40/0.63 tff(45,plain,
% 0.40/0.63 ((~![B: $i, A: $i] : (has_endowment(A) | (~has_immunity(A, B)) | (~organization(A)))) | (has_endowment(sk3) | (~has_immunity(sk3, sk4)) | (~organization(sk3)))),
% 0.40/0.63 inference(quant_inst,[status(thm)],[])).
% 0.40/0.63 tff(46,plain,
% 0.40/0.63 ((~![B: $i, A: $i] : (has_endowment(A) | (~has_immunity(A, B)) | (~organization(A)))) | has_endowment(sk3) | (~organization(sk3)) | (~has_immunity(sk3, sk4))),
% 0.40/0.63 inference(modus_ponens,[status(thm)],[45, 44])).
% 0.40/0.63 tff(47,plain,
% 0.40/0.63 ($false),
% 0.40/0.63 inference(unit_resolution,[status(thm)],[46, 40, 9, 30, 27])).
% 0.40/0.63 tff(48,plain,(~has_immunity(sk3, sk4)), inference(lemma,lemma(discharge,[]))).
% 0.40/0.63 tff(49,plain,
% 0.40/0.63 (zero = age(sk3, sk4)),
% 0.40/0.63 inference(symmetry,[status(thm)],[6])).
% 0.40/0.63 tff(50,plain,
% 0.40/0.63 (smaller_or_equal(zero, tau) <=> smaller_or_equal(age(sk3, sk4), tau)),
% 0.40/0.63 inference(monotonicity,[status(thm)],[49])).
% 0.40/0.63 tff(51,plain,
% 0.40/0.63 (greater(tau, zero) <=> greater(tau, zero)),
% 0.40/0.63 inference(rewrite,[status(thm)],[])).
% 0.40/0.63 tff(52,axiom,(greater(tau, zero)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','theorem_9_79')).
% 0.40/0.63 tff(53,plain,
% 0.40/0.63 (greater(tau, zero)),
% 0.40/0.63 inference(modus_ponens,[status(thm)],[52, 51])).
% 0.40/0.63 tff(54,plain,
% 0.40/0.63 (^[B: $i, A: $i] : refl(((~greater(A, B)) | smaller(B, A)) <=> ((~greater(A, B)) | smaller(B, A)))),
% 0.40/0.63 inference(bind,[status(th)],[])).
% 0.40/0.63 tff(55,plain,
% 0.40/0.63 (![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A)) <=> ![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))),
% 0.40/0.63 inference(quant_intro,[status(thm)],[54])).
% 0.40/0.63 tff(56,plain,
% 0.40/0.63 (![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A)) <=> ![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))),
% 0.40/0.63 inference(rewrite,[status(thm)],[])).
% 0.40/0.63 tff(57,axiom,(![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))), file('/export/starexec/sandbox/benchmark/Axioms/MGT001-0.ax','definition_smaller_8')).
% 0.40/0.63 tff(58,plain,
% 0.40/0.63 (![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))),
% 0.40/0.63 inference(modus_ponens,[status(thm)],[57, 56])).
% 0.40/0.63 tff(59,plain,(
% 0.40/0.63 ![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))),
% 0.40/0.63 inference(skolemize,[status(sab)],[58])).
% 0.40/0.63 tff(60,plain,
% 0.40/0.63 (![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))),
% 0.40/0.63 inference(modus_ponens,[status(thm)],[59, 55])).
% 0.40/0.63 tff(61,plain,
% 0.40/0.63 (((~![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))) | ((~greater(tau, zero)) | smaller(zero, tau))) <=> ((~![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))) | (~greater(tau, zero)) | smaller(zero, tau))),
% 0.40/0.63 inference(rewrite,[status(thm)],[])).
% 0.40/0.63 tff(62,plain,
% 0.40/0.63 ((~![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))) | ((~greater(tau, zero)) | smaller(zero, tau))),
% 0.40/0.63 inference(quant_inst,[status(thm)],[])).
% 0.40/0.63 tff(63,plain,
% 0.40/0.63 ((~![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))) | (~greater(tau, zero)) | smaller(zero, tau)),
% 0.40/0.63 inference(modus_ponens,[status(thm)],[62, 61])).
% 0.40/0.63 tff(64,plain,
% 0.40/0.63 (smaller(zero, tau)),
% 0.40/0.63 inference(unit_resolution,[status(thm)],[63, 60, 53])).
% 0.40/0.63 tff(65,plain,
% 0.40/0.63 (^[B: $i, A: $i] : refl(((~smaller(A, B)) | smaller_or_equal(A, B)) <=> ((~smaller(A, B)) | smaller_or_equal(A, B)))),
% 0.40/0.63 inference(bind,[status(th)],[])).
% 0.40/0.63 tff(66,plain,
% 0.40/0.63 (![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B)) <=> ![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B))),
% 0.40/0.63 inference(quant_intro,[status(thm)],[65])).
% 0.40/0.63 tff(67,plain,
% 0.40/0.63 (![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B)) <=> ![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B))),
% 0.40/0.63 inference(rewrite,[status(thm)],[])).
% 0.40/0.63 tff(68,axiom,(![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B))), file('/export/starexec/sandbox/benchmark/Axioms/MGT001-0.ax','definition_smaller_or_equal_2')).
% 0.40/0.63 tff(69,plain,
% 0.40/0.63 (![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B))),
% 0.40/0.63 inference(modus_ponens,[status(thm)],[68, 67])).
% 0.40/0.63 tff(70,plain,(
% 0.40/0.63 ![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B))),
% 0.40/0.63 inference(skolemize,[status(sab)],[69])).
% 0.40/0.63 tff(71,plain,
% 0.40/0.63 (![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B))),
% 0.40/0.63 inference(modus_ponens,[status(thm)],[70, 66])).
% 0.40/0.63 tff(72,plain,
% 0.40/0.63 (((~![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B))) | ((~smaller(zero, tau)) | smaller_or_equal(zero, tau))) <=> ((~![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B))) | (~smaller(zero, tau)) | smaller_or_equal(zero, tau))),
% 0.40/0.63 inference(rewrite,[status(thm)],[])).
% 0.40/0.63 tff(73,plain,
% 0.40/0.63 ((~![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B))) | ((~smaller(zero, tau)) | smaller_or_equal(zero, tau))),
% 0.40/0.63 inference(quant_inst,[status(thm)],[])).
% 0.40/0.63 tff(74,plain,
% 0.40/0.63 ((~![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B))) | (~smaller(zero, tau)) | smaller_or_equal(zero, tau)),
% 0.40/0.63 inference(modus_ponens,[status(thm)],[73, 72])).
% 0.40/0.63 tff(75,plain,
% 0.40/0.63 (smaller_or_equal(zero, tau)),
% 0.40/0.63 inference(unit_resolution,[status(thm)],[74, 71, 64])).
% 0.40/0.63 tff(76,plain,
% 0.40/0.63 (smaller_or_equal(age(sk3, sk4), tau)),
% 0.40/0.63 inference(modus_ponens,[status(thm)],[75, 50])).
% 0.40/0.63 tff(77,plain,
% 0.40/0.63 (robust_position(sk3) <=> robust_position(sk3)),
% 0.40/0.63 inference(rewrite,[status(thm)],[])).
% 0.40/0.63 tff(78,axiom,(robust_position(sk3)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','theorem_9_75')).
% 0.40/0.63 tff(79,plain,
% 0.40/0.63 (robust_position(sk3)),
% 0.40/0.63 inference(modus_ponens,[status(thm)],[78, 77])).
% 0.40/0.63 tff(80,plain,
% 0.40/0.63 (^[B: $i, A: $i] : refl(((~positional_advantage(A, B)) | (~smaller_or_equal(age(A, B), tau)) | (~robust_position(A))) <=> ((~positional_advantage(A, B)) | (~smaller_or_equal(age(A, B), tau)) | (~robust_position(A))))),
% 0.40/0.63 inference(bind,[status(th)],[])).
% 0.40/0.63 tff(81,plain,
% 0.40/0.63 (![B: $i, A: $i] : ((~positional_advantage(A, B)) | (~smaller_or_equal(age(A, B), tau)) | (~robust_position(A))) <=> ![B: $i, A: $i] : ((~positional_advantage(A, B)) | (~smaller_or_equal(age(A, B), tau)) | (~robust_position(A)))),
% 0.40/0.63 inference(quant_intro,[status(thm)],[80])).
% 0.40/0.63 tff(82,plain,
% 0.40/0.63 (![B: $i, A: $i] : ((~positional_advantage(A, B)) | (~smaller_or_equal(age(A, B), tau)) | (~robust_position(A))) <=> ![B: $i, A: $i] : ((~positional_advantage(A, B)) | (~smaller_or_equal(age(A, B), tau)) | (~robust_position(A)))),
% 0.40/0.63 inference(rewrite,[status(thm)],[])).
% 0.40/0.63 tff(83,plain,
% 0.40/0.63 (^[B: $i, A: $i] : rewrite((((~robust_position(A)) | (~smaller_or_equal(age(A, B), tau))) | (~positional_advantage(A, B))) <=> ((~positional_advantage(A, B)) | (~smaller_or_equal(age(A, B), tau)) | (~robust_position(A))))),
% 0.40/0.63 inference(bind,[status(th)],[])).
% 0.40/0.63 tff(84,plain,
% 0.40/0.63 (![B: $i, A: $i] : (((~robust_position(A)) | (~smaller_or_equal(age(A, B), tau))) | (~positional_advantage(A, B))) <=> ![B: $i, A: $i] : ((~positional_advantage(A, B)) | (~smaller_or_equal(age(A, B), tau)) | (~robust_position(A)))),
% 0.40/0.63 inference(quant_intro,[status(thm)],[83])).
% 0.40/0.63 tff(85,axiom,(![B: $i, A: $i] : (((~robust_position(A)) | (~smaller_or_equal(age(A, B), tau))) | (~positional_advantage(A, B)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','definition_4_57')).
% 0.40/0.63 tff(86,plain,
% 0.40/0.63 (![B: $i, A: $i] : ((~positional_advantage(A, B)) | (~smaller_or_equal(age(A, B), tau)) | (~robust_position(A)))),
% 0.40/0.63 inference(modus_ponens,[status(thm)],[85, 84])).
% 0.40/0.63 tff(87,plain,
% 0.40/0.63 (![B: $i, A: $i] : ((~positional_advantage(A, B)) | (~smaller_or_equal(age(A, B), tau)) | (~robust_position(A)))),
% 0.40/0.63 inference(modus_ponens,[status(thm)],[86, 82])).
% 0.40/0.63 tff(88,plain,(
% 0.40/0.63 ![B: $i, A: $i] : ((~positional_advantage(A, B)) | (~smaller_or_equal(age(A, B), tau)) | (~robust_position(A)))),
% 0.40/0.63 inference(skolemize,[status(sab)],[87])).
% 0.40/0.63 tff(89,plain,
% 0.40/0.63 (![B: $i, A: $i] : ((~positional_advantage(A, B)) | (~smaller_or_equal(age(A, B), tau)) | (~robust_position(A)))),
% 0.40/0.63 inference(modus_ponens,[status(thm)],[88, 81])).
% 0.40/0.63 tff(90,plain,
% 0.40/0.63 (((~![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)))),
% 0.40/0.63 inference(rewrite,[status(thm)],[])).
% 0.40/0.63 tff(91,plain,
% 0.40/0.63 ((~![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)))),
% 0.40/0.63 inference(quant_inst,[status(thm)],[])).
% 0.40/0.63 tff(92,plain,
% 0.40/0.63 ((~![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))),
% 0.40/0.63 inference(modus_ponens,[status(thm)],[91, 90])).
% 0.40/0.63 tff(93,plain,
% 0.40/0.63 ((~positional_advantage(sk3, sk4)) | (~smaller_or_equal(age(sk3, sk4), tau))),
% 0.40/0.63 inference(unit_resolution,[status(thm)],[92, 89, 79])).
% 0.40/0.63 tff(94,plain,
% 0.40/0.63 (~positional_advantage(sk3, sk4)),
% 0.40/0.63 inference(unit_resolution,[status(thm)],[93, 76])).
% 0.40/0.63 tff(95,plain,
% 0.40/0.63 (^[B: $i, A: $i] : refl(((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = zero))) <=> ((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = zero))))),
% 0.40/0.63 inference(bind,[status(th)],[])).
% 0.40/0.63 tff(96,plain,
% 0.40/0.63 (![B: $i, A: $i] : ((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = zero))) <=> ![B: $i, A: $i] : ((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = zero)))),
% 0.40/0.63 inference(quant_intro,[status(thm)],[95])).
% 0.40/0.63 tff(97,plain,
% 0.40/0.63 (![B: $i, A: $i] : ((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = zero))) <=> ![B: $i, A: $i] : ((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = zero)))),
% 0.40/0.63 inference(rewrite,[status(thm)],[])).
% 0.40/0.63 tff(98,plain,
% 0.40/0.63 (^[B: $i, A: $i] : rewrite((((~organization(A)) | (~(age(A, B) = zero))) | is_aligned(A, B)) <=> ((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = zero))))),
% 0.40/0.63 inference(bind,[status(th)],[])).
% 0.40/0.63 tff(99,plain,
% 0.40/0.63 (![B: $i, A: $i] : (((~organization(A)) | (~(age(A, B) = zero))) | is_aligned(A, B)) <=> ![B: $i, A: $i] : ((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = zero)))),
% 0.40/0.63 inference(quant_intro,[status(thm)],[98])).
% 0.40/0.63 tff(100,axiom,(![B: $i, A: $i] : (((~organization(A)) | (~(age(A, B) = zero))) | is_aligned(A, B))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','assumption_13_54')).
% 0.40/0.63 tff(101,plain,
% 0.40/0.63 (![B: $i, A: $i] : ((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = zero)))),
% 0.40/0.63 inference(modus_ponens,[status(thm)],[100, 99])).
% 0.40/0.63 tff(102,plain,
% 0.40/0.63 (![B: $i, A: $i] : ((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = zero)))),
% 0.40/0.63 inference(modus_ponens,[status(thm)],[101, 97])).
% 0.40/0.63 tff(103,plain,(
% 0.40/0.63 ![B: $i, A: $i] : ((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = zero)))),
% 0.40/0.63 inference(skolemize,[status(sab)],[102])).
% 0.40/0.63 tff(104,plain,
% 0.40/0.63 (![B: $i, A: $i] : ((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = zero)))),
% 0.40/0.63 inference(modus_ponens,[status(thm)],[103, 96])).
% 0.40/0.63 tff(105,plain,
% 0.40/0.63 (((~![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)))),
% 0.40/0.63 inference(rewrite,[status(thm)],[])).
% 0.40/0.63 tff(106,plain,
% 0.40/0.63 ((~![B: $i, A: $i] : ((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = zero)))) | ((~organization(sk3)) | is_aligned(sk3, sk4) | (~(age(sk3, sk4) = zero)))),
% 0.40/0.63 inference(quant_inst,[status(thm)],[])).
% 0.40/0.63 tff(107,plain,
% 0.40/0.63 ((~![B: $i, A: $i] : ((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = zero)))) | (~organization(sk3)) | is_aligned(sk3, sk4) | (~(age(sk3, sk4) = zero))),
% 0.40/0.63 inference(modus_ponens,[status(thm)],[106, 105])).
% 0.40/0.63 tff(108,plain,
% 0.40/0.63 (is_aligned(sk3, sk4)),
% 0.40/0.63 inference(unit_resolution,[status(thm)],[107, 104, 9, 6])).
% 0.40/0.63 tff(109,plain,
% 0.40/0.63 (^[B: $i, A: $i] : refl((has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | (~is_aligned(A, B)) | (hazard_of_mortality(A, B) = mod2)) <=> (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | (~is_aligned(A, B)) | (hazard_of_mortality(A, B) = mod2)))),
% 0.40/0.63 inference(bind,[status(th)],[])).
% 0.40/0.63 tff(110,plain,
% 0.40/0.63 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | (~is_aligned(A, B)) | (hazard_of_mortality(A, B) = mod2)) <=> ![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | (~is_aligned(A, B)) | (hazard_of_mortality(A, B) = mod2))),
% 0.40/0.63 inference(quant_intro,[status(thm)],[109])).
% 0.40/0.63 tff(111,plain,
% 0.40/0.63 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | (~is_aligned(A, B)) | (hazard_of_mortality(A, B) = mod2)) <=> ![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | (~is_aligned(A, B)) | (hazard_of_mortality(A, B) = mod2))),
% 0.40/0.63 inference(rewrite,[status(thm)],[])).
% 0.40/0.63 tff(112,plain,
% 0.40/0.63 (^[B: $i, A: $i] : trans(monotonicity(trans(monotonicity(rewrite((((~organization(A)) | has_immunity(A, B)) | (~is_aligned(A, B))) <=> (has_immunity(A, B) | (~organization(A)) | (~is_aligned(A, B)))), (((((~organization(A)) | has_immunity(A, B)) | (~is_aligned(A, B))) | positional_advantage(A, B)) <=> ((has_immunity(A, B) | (~organization(A)) | (~is_aligned(A, B))) | positional_advantage(A, B)))), rewrite(((has_immunity(A, B) | (~organization(A)) | (~is_aligned(A, B))) | positional_advantage(A, B)) <=> (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | (~is_aligned(A, B)))), (((((~organization(A)) | has_immunity(A, B)) | (~is_aligned(A, B))) | positional_advantage(A, B)) <=> (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | (~is_aligned(A, B))))), ((((((~organization(A)) | has_immunity(A, B)) | (~is_aligned(A, B))) | positional_advantage(A, B)) | (hazard_of_mortality(A, B) = mod2)) <=> ((has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | (~is_aligned(A, B))) | (hazard_of_mortality(A, B) = mod2)))), rewrite(((has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | (~is_aligned(A, B))) | (hazard_of_mortality(A, B) = mod2)) <=> (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | (~is_aligned(A, B)) | (hazard_of_mortality(A, B) = mod2))), ((((((~organization(A)) | has_immunity(A, B)) | (~is_aligned(A, B))) | positional_advantage(A, B)) | (hazard_of_mortality(A, B) = mod2)) <=> (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | (~is_aligned(A, B)) | (hazard_of_mortality(A, B) = mod2))))),
% 0.40/0.63 inference(bind,[status(th)],[])).
% 0.40/0.63 tff(113,plain,
% 0.40/0.63 (![B: $i, A: $i] : (((((~organization(A)) | has_immunity(A, B)) | (~is_aligned(A, B))) | positional_advantage(A, B)) | (hazard_of_mortality(A, B) = mod2)) <=> ![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | (~is_aligned(A, B)) | (hazard_of_mortality(A, B) = mod2))),
% 0.40/0.63 inference(quant_intro,[status(thm)],[112])).
% 0.40/0.63 tff(114,axiom,(![B: $i, A: $i] : (((((~organization(A)) | has_immunity(A, B)) | (~is_aligned(A, B))) | positional_advantage(A, B)) | (hazard_of_mortality(A, B) = mod2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','assumption_17_66')).
% 0.40/0.63 tff(115,plain,
% 0.40/0.63 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | (~is_aligned(A, B)) | (hazard_of_mortality(A, B) = mod2))),
% 0.40/0.63 inference(modus_ponens,[status(thm)],[114, 113])).
% 0.40/0.63 tff(116,plain,
% 0.40/0.63 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | (~is_aligned(A, B)) | (hazard_of_mortality(A, B) = mod2))),
% 0.40/0.63 inference(modus_ponens,[status(thm)],[115, 111])).
% 0.40/0.63 tff(117,plain,(
% 0.40/0.63 ![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | (~is_aligned(A, B)) | (hazard_of_mortality(A, B) = mod2))),
% 0.40/0.63 inference(skolemize,[status(sab)],[116])).
% 0.40/0.63 tff(118,plain,
% 0.40/0.63 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | (~is_aligned(A, B)) | (hazard_of_mortality(A, B) = mod2))),
% 0.40/0.63 inference(modus_ponens,[status(thm)],[117, 110])).
% 0.40/0.63 tff(119,plain,
% 0.40/0.63 (((~![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))),
% 0.40/0.64 inference(rewrite,[status(thm)],[])).
% 0.40/0.64 tff(120,plain,
% 0.40/0.64 ((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))),
% 0.40/0.64 inference(rewrite,[status(thm)],[])).
% 0.40/0.64 tff(121,plain,
% 0.40/0.64 (((~![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)))),
% 0.40/0.64 inference(monotonicity,[status(thm)],[120])).
% 0.40/0.64 tff(122,plain,
% 0.40/0.64 (((~![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))),
% 0.40/0.64 inference(transitivity,[status(thm)],[121, 119])).
% 0.40/0.64 tff(123,plain,
% 0.40/0.64 ((~![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))),
% 0.40/0.64 inference(quant_inst,[status(thm)],[])).
% 0.40/0.64 tff(124,plain,
% 0.40/0.64 ((~![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)),
% 0.40/0.64 inference(modus_ponens,[status(thm)],[123, 122])).
% 0.40/0.64 tff(125,plain,
% 0.40/0.64 (positional_advantage(sk3, sk4) | has_immunity(sk3, sk4) | (hazard_of_mortality(sk3, sk4) = mod2)),
% 0.40/0.64 inference(unit_resolution,[status(thm)],[124, 118, 9, 108])).
% 0.40/0.64 tff(126,plain,
% 0.40/0.64 (has_immunity(sk3, sk4) | (hazard_of_mortality(sk3, sk4) = mod2)),
% 0.40/0.64 inference(unit_resolution,[status(thm)],[125, 94])).
% 0.40/0.64 tff(127,plain,
% 0.40/0.64 (hazard_of_mortality(sk3, sk4) = mod2),
% 0.40/0.64 inference(unit_resolution,[status(thm)],[126, 48])).
% 0.40/0.64 tff(128,plain,
% 0.40/0.64 (mod2 = hazard_of_mortality(sk3, sk4)),
% 0.40/0.64 inference(symmetry,[status(thm)],[127])).
% 0.40/0.64 tff(129,plain,
% 0.40/0.64 ((hazard_of_mortality(sk3, sk5) = mod2) <=> (hazard_of_mortality(sk3, sk5) = hazard_of_mortality(sk3, sk4))),
% 0.40/0.64 inference(monotonicity,[status(thm)],[128])).
% 0.40/0.64 tff(130,assumption,(greater(age(sk3, sk5), sigma)), introduced(assumption)).
% 0.40/0.64 tff(131,plain,
% 0.40/0.64 (^[B: $i, A: $i] : refl(((~greater(A, B)) | (~greater(B, A))) <=> ((~greater(A, B)) | (~greater(B, A))))),
% 0.40/0.64 inference(bind,[status(th)],[])).
% 0.40/0.64 tff(132,plain,
% 0.40/0.64 (![B: $i, A: $i] : ((~greater(A, B)) | (~greater(B, A))) <=> ![B: $i, A: $i] : ((~greater(A, B)) | (~greater(B, A)))),
% 0.40/0.64 inference(quant_intro,[status(thm)],[131])).
% 0.40/0.64 tff(133,plain,
% 0.40/0.64 (![B: $i, A: $i] : ((~greater(A, B)) | (~greater(B, A))) <=> ![B: $i, A: $i] : ((~greater(A, B)) | (~greater(B, A)))),
% 0.40/0.64 inference(rewrite,[status(thm)],[])).
% 0.40/0.64 tff(134,axiom,(![B: $i, A: $i] : ((~greater(A, B)) | (~greater(B, A)))), file('/export/starexec/sandbox/benchmark/Axioms/MGT001-0.ax','meaning_postulate_greater_strict_9')).
% 0.40/0.64 tff(135,plain,
% 0.40/0.64 (![B: $i, A: $i] : ((~greater(A, B)) | (~greater(B, A)))),
% 0.40/0.64 inference(modus_ponens,[status(thm)],[134, 133])).
% 0.40/0.64 tff(136,plain,(
% 0.40/0.64 ![B: $i, A: $i] : ((~greater(A, B)) | (~greater(B, A)))),
% 0.40/0.64 inference(skolemize,[status(sab)],[135])).
% 0.40/0.64 tff(137,plain,
% 0.40/0.64 (![B: $i, A: $i] : ((~greater(A, B)) | (~greater(B, A)))),
% 0.40/0.64 inference(modus_ponens,[status(thm)],[136, 132])).
% 0.40/0.64 tff(138,plain,
% 0.40/0.64 (((~![B: $i, A: $i] : ((~greater(A, B)) | (~greater(B, A)))) | ((~greater(sigma, age(sk3, sk5))) | (~greater(age(sk3, sk5), sigma)))) <=> ((~![B: $i, A: $i] : ((~greater(A, B)) | (~greater(B, A)))) | (~greater(sigma, age(sk3, sk5))) | (~greater(age(sk3, sk5), sigma)))),
% 0.40/0.64 inference(rewrite,[status(thm)],[])).
% 0.40/0.64 tff(139,plain,
% 0.40/0.64 ((~![B: $i, A: $i] : ((~greater(A, B)) | (~greater(B, A)))) | ((~greater(sigma, age(sk3, sk5))) | (~greater(age(sk3, sk5), sigma)))),
% 0.40/0.64 inference(quant_inst,[status(thm)],[])).
% 0.40/0.64 tff(140,plain,
% 0.40/0.64 ((~![B: $i, A: $i] : ((~greater(A, B)) | (~greater(B, A)))) | (~greater(sigma, age(sk3, sk5))) | (~greater(age(sk3, sk5), sigma))),
% 0.40/0.64 inference(modus_ponens,[status(thm)],[139, 138])).
% 0.40/0.64 tff(141,plain,
% 0.40/0.64 (~greater(sigma, age(sk3, sk5))),
% 0.40/0.64 inference(unit_resolution,[status(thm)],[140, 137, 130])).
% 0.40/0.64 tff(142,plain,
% 0.40/0.64 (^[B: $i, A: $i] : refl(((~smaller(A, B)) | greater(B, A)) <=> ((~smaller(A, B)) | greater(B, A)))),
% 0.40/0.64 inference(bind,[status(th)],[])).
% 0.40/0.64 tff(143,plain,
% 0.40/0.64 (![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A)) <=> ![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))),
% 0.40/0.64 inference(quant_intro,[status(thm)],[142])).
% 0.40/0.64 tff(144,plain,
% 0.40/0.64 (![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A)) <=> ![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))),
% 0.40/0.64 inference(rewrite,[status(thm)],[])).
% 0.40/0.64 tff(145,axiom,(![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))), file('/export/starexec/sandbox/benchmark/Axioms/MGT001-0.ax','definition_smaller_7')).
% 0.40/0.64 tff(146,plain,
% 0.40/0.64 (![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))),
% 0.40/0.64 inference(modus_ponens,[status(thm)],[145, 144])).
% 0.40/0.64 tff(147,plain,(
% 0.40/0.64 ![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))),
% 0.40/0.64 inference(skolemize,[status(sab)],[146])).
% 0.40/0.64 tff(148,plain,
% 0.40/0.64 (![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))),
% 0.40/0.64 inference(modus_ponens,[status(thm)],[147, 143])).
% 0.40/0.64 tff(149,plain,
% 0.40/0.64 (((~![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))) | ((~smaller(age(sk3, sk5), sigma)) | greater(sigma, age(sk3, sk5)))) <=> ((~![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))) | (~smaller(age(sk3, sk5), sigma)) | greater(sigma, age(sk3, sk5)))),
% 0.40/0.64 inference(rewrite,[status(thm)],[])).
% 0.40/0.64 tff(150,plain,
% 0.40/0.64 ((~![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))) | ((~smaller(age(sk3, sk5), sigma)) | greater(sigma, age(sk3, sk5)))),
% 0.40/0.64 inference(quant_inst,[status(thm)],[])).
% 0.40/0.64 tff(151,plain,
% 0.40/0.64 ((~![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))) | (~smaller(age(sk3, sk5), sigma)) | greater(sigma, age(sk3, sk5))),
% 0.40/0.64 inference(modus_ponens,[status(thm)],[150, 149])).
% 0.40/0.64 tff(152,plain,
% 0.40/0.64 (~smaller(age(sk3, sk5), sigma)),
% 0.40/0.64 inference(unit_resolution,[status(thm)],[151, 148, 141])).
% 0.40/0.64 tff(153,plain,
% 0.40/0.64 (smaller_or_equal(age(sk3, sk5), sigma) <=> smaller_or_equal(age(sk3, sk5), sigma)),
% 0.40/0.64 inference(rewrite,[status(thm)],[])).
% 0.40/0.64 tff(154,axiom,(smaller_or_equal(age(sk3, sk5), sigma)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','theorem_9_81')).
% 0.40/0.64 tff(155,plain,
% 0.40/0.64 (smaller_or_equal(age(sk3, sk5), sigma)),
% 0.40/0.64 inference(modus_ponens,[status(thm)],[154, 153])).
% 0.40/0.64 tff(156,plain,
% 0.40/0.64 (^[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))))),
% 0.40/0.64 inference(bind,[status(th)],[])).
% 0.40/0.64 tff(157,plain,
% 0.40/0.64 (![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)))),
% 0.40/0.64 inference(quant_intro,[status(thm)],[156])).
% 0.40/0.64 tff(158,plain,
% 0.40/0.64 (![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)))),
% 0.40/0.64 inference(rewrite,[status(thm)],[])).
% 0.40/0.64 tff(159,plain,
% 0.40/0.64 (^[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))))),
% 0.40/0.64 inference(bind,[status(th)],[])).
% 0.40/0.64 tff(160,plain,
% 0.40/0.64 (![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)))),
% 0.40/0.64 inference(quant_intro,[status(thm)],[159])).
% 0.40/0.64 tff(161,axiom,(![B: $i, A: $i] : (((~smaller_or_equal(A, B)) | smaller(A, B)) | (A = B))), file('/export/starexec/sandbox/benchmark/Axioms/MGT001-0.ax','definition_smaller_or_equal_1')).
% 0.40/0.64 tff(162,plain,
% 0.40/0.64 (![B: $i, A: $i] : ((A = B) | smaller(A, B) | (~smaller_or_equal(A, B)))),
% 0.40/0.64 inference(modus_ponens,[status(thm)],[161, 160])).
% 0.40/0.64 tff(163,plain,
% 0.40/0.64 (![B: $i, A: $i] : ((A = B) | smaller(A, B) | (~smaller_or_equal(A, B)))),
% 0.40/0.64 inference(modus_ponens,[status(thm)],[162, 158])).
% 0.40/0.64 tff(164,plain,(
% 0.40/0.64 ![B: $i, A: $i] : ((A = B) | smaller(A, B) | (~smaller_or_equal(A, B)))),
% 0.40/0.64 inference(skolemize,[status(sab)],[163])).
% 0.40/0.64 tff(165,plain,
% 0.40/0.64 (![B: $i, A: $i] : ((A = B) | smaller(A, B) | (~smaller_or_equal(A, B)))),
% 0.40/0.64 inference(modus_ponens,[status(thm)],[164, 157])).
% 0.40/0.64 tff(166,plain,
% 0.40/0.64 (((~![B: $i, A: $i] : ((A = B) | smaller(A, B) | (~smaller_or_equal(A, B)))) | ((age(sk3, sk5) = sigma) | smaller(age(sk3, sk5), sigma) | (~smaller_or_equal(age(sk3, sk5), sigma)))) <=> ((~![B: $i, A: $i] : ((A = B) | smaller(A, B) | (~smaller_or_equal(A, B)))) | (age(sk3, sk5) = sigma) | smaller(age(sk3, sk5), sigma) | (~smaller_or_equal(age(sk3, sk5), sigma)))),
% 0.40/0.64 inference(rewrite,[status(thm)],[])).
% 0.40/0.64 tff(167,plain,
% 0.40/0.64 ((~![B: $i, A: $i] : ((A = B) | smaller(A, B) | (~smaller_or_equal(A, B)))) | ((age(sk3, sk5) = sigma) | smaller(age(sk3, sk5), sigma) | (~smaller_or_equal(age(sk3, sk5), sigma)))),
% 0.40/0.64 inference(quant_inst,[status(thm)],[])).
% 0.40/0.64 tff(168,plain,
% 0.40/0.64 ((~![B: $i, A: $i] : ((A = B) | smaller(A, B) | (~smaller_or_equal(A, B)))) | (age(sk3, sk5) = sigma) | smaller(age(sk3, sk5), sigma) | (~smaller_or_equal(age(sk3, sk5), sigma))),
% 0.40/0.64 inference(modus_ponens,[status(thm)],[167, 166])).
% 0.40/0.64 tff(169,plain,
% 0.40/0.64 ((age(sk3, sk5) = sigma) | smaller(age(sk3, sk5), sigma)),
% 0.40/0.64 inference(unit_resolution,[status(thm)],[168, 165, 155])).
% 0.40/0.64 tff(170,plain,
% 0.40/0.64 (age(sk3, sk5) = sigma),
% 0.40/0.64 inference(unit_resolution,[status(thm)],[169, 152])).
% 0.40/0.64 tff(171,plain,
% 0.40/0.64 (sigma = age(sk3, sk5)),
% 0.40/0.64 inference(symmetry,[status(thm)],[170])).
% 0.40/0.64 tff(172,plain,
% 0.40/0.64 (greater(sigma, age(sk3, sk5)) <=> greater(age(sk3, sk5), sigma)),
% 0.40/0.64 inference(monotonicity,[status(thm)],[171, 170])).
% 0.40/0.64 tff(173,plain,
% 0.40/0.64 (greater(age(sk3, sk5), sigma) <=> greater(sigma, age(sk3, sk5))),
% 0.40/0.64 inference(symmetry,[status(thm)],[172])).
% 0.40/0.64 tff(174,plain,
% 0.40/0.64 (greater(sigma, age(sk3, sk5))),
% 0.40/0.64 inference(modus_ponens,[status(thm)],[130, 173])).
% 0.40/0.64 tff(175,plain,
% 0.40/0.64 ($false),
% 0.40/0.64 inference(unit_resolution,[status(thm)],[141, 174])).
% 0.40/0.64 tff(176,plain,(~greater(age(sk3, sk5), sigma)), inference(lemma,lemma(discharge,[]))).
% 0.40/0.64 tff(177,plain,
% 0.40/0.64 (^[B: $i, A: $i, C: $i] : refl(((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = zero))) <=> ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = zero))))),
% 0.40/0.64 inference(bind,[status(th)],[])).
% 0.40/0.64 tff(178,plain,
% 0.40/0.64 (![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = zero))) <=> ![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = zero)))),
% 0.40/0.64 inference(quant_intro,[status(thm)],[177])).
% 0.40/0.64 tff(179,plain,
% 0.40/0.64 (![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = zero))) <=> ![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = zero)))),
% 0.40/0.64 inference(rewrite,[status(thm)],[])).
% 0.40/0.64 tff(180,plain,
% 0.40/0.64 (^[B: $i, A: $i, C: $i] : trans(monotonicity(rewrite((((~organization(A)) | (~(age(A, B) = zero))) | (~dissimilar(A, B, C))) <=> ((~dissimilar(A, B, C)) | (~organization(A)) | (~(age(A, B) = zero)))), (((((~organization(A)) | (~(age(A, B) = zero))) | (~dissimilar(A, B, C))) | greater(age(A, C), sigma)) <=> (((~dissimilar(A, B, C)) | (~organization(A)) | (~(age(A, B) = zero))) | greater(age(A, C), sigma)))), rewrite((((~dissimilar(A, B, C)) | (~organization(A)) | (~(age(A, B) = zero))) | greater(age(A, C), sigma)) <=> ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = zero)))), (((((~organization(A)) | (~(age(A, B) = zero))) | (~dissimilar(A, B, C))) | greater(age(A, C), sigma)) <=> ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = zero)))))),
% 0.40/0.64 inference(bind,[status(th)],[])).
% 0.40/0.64 tff(181,plain,
% 0.40/0.64 (![B: $i, A: $i, C: $i] : ((((~organization(A)) | (~(age(A, B) = zero))) | (~dissimilar(A, B, C))) | greater(age(A, C), sigma)) <=> ![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = zero)))),
% 0.40/0.64 inference(quant_intro,[status(thm)],[180])).
% 0.40/0.64 tff(182,axiom,(![B: $i, A: $i, C: $i] : ((((~organization(A)) | (~(age(A, B) = zero))) | (~dissimilar(A, B, C))) | greater(age(A, C), sigma))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','assumption_15_56')).
% 0.40/0.64 tff(183,plain,
% 0.40/0.64 (![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = zero)))),
% 0.40/0.64 inference(modus_ponens,[status(thm)],[182, 181])).
% 0.40/0.64 tff(184,plain,
% 0.40/0.64 (![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = zero)))),
% 0.40/0.64 inference(modus_ponens,[status(thm)],[183, 179])).
% 0.40/0.64 tff(185,plain,(
% 0.40/0.64 ![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = zero)))),
% 0.40/0.64 inference(skolemize,[status(sab)],[184])).
% 0.40/0.64 tff(186,plain,
% 0.40/0.64 (![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = zero)))),
% 0.40/0.64 inference(modus_ponens,[status(thm)],[185, 178])).
% 0.40/0.64 tff(187,plain,
% 0.40/0.64 (((~![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)))),
% 0.40/0.64 inference(rewrite,[status(thm)],[])).
% 0.40/0.64 tff(188,plain,
% 0.40/0.64 (((~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)))),
% 0.40/0.64 inference(rewrite,[status(thm)],[])).
% 0.40/0.64 tff(189,plain,
% 0.40/0.64 (((~![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))))),
% 0.40/0.64 inference(monotonicity,[status(thm)],[188])).
% 0.40/0.64 tff(190,plain,
% 0.40/0.64 (((~![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)))),
% 0.40/0.65 inference(transitivity,[status(thm)],[189, 187])).
% 0.40/0.65 tff(191,plain,
% 0.40/0.65 ((~![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)))),
% 0.40/0.65 inference(quant_inst,[status(thm)],[])).
% 0.40/0.65 tff(192,plain,
% 0.40/0.65 ((~![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))),
% 0.40/0.65 inference(modus_ponens,[status(thm)],[191, 190])).
% 0.40/0.65 tff(193,plain,
% 0.40/0.65 (greater(age(sk3, sk5), sigma) | (~dissimilar(sk3, sk4, sk5))),
% 0.40/0.65 inference(unit_resolution,[status(thm)],[192, 186, 9, 6])).
% 0.40/0.65 tff(194,plain,
% 0.40/0.65 (~dissimilar(sk3, sk4, sk5)),
% 0.40/0.65 inference(unit_resolution,[status(thm)],[193, 176])).
% 0.40/0.65 tff(195,assumption,(~dissimilar(sk3, sk4, sk5)), introduced(assumption)).
% 0.40/0.65 tff(196,assumption,(~is_aligned(sk3, sk5)), introduced(assumption)).
% 0.40/0.65 tff(197,plain,
% 0.40/0.65 (^[B: $i, A: $i, C: $i] : refl((dissimilar(A, B, C) | is_aligned(A, C) | (~is_aligned(A, B)) | (~organization(A))) <=> (dissimilar(A, B, C) | is_aligned(A, C) | (~is_aligned(A, B)) | (~organization(A))))),
% 0.40/0.65 inference(bind,[status(th)],[])).
% 0.40/0.65 tff(198,plain,
% 0.40/0.65 (![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | is_aligned(A, C) | (~is_aligned(A, B)) | (~organization(A))) <=> ![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | is_aligned(A, C) | (~is_aligned(A, B)) | (~organization(A)))),
% 0.40/0.65 inference(quant_intro,[status(thm)],[197])).
% 0.40/0.65 tff(199,plain,
% 0.40/0.65 (![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | is_aligned(A, C) | (~is_aligned(A, B)) | (~organization(A))) <=> ![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | is_aligned(A, C) | (~is_aligned(A, B)) | (~organization(A)))),
% 0.40/0.65 inference(rewrite,[status(thm)],[])).
% 0.40/0.65 tff(200,plain,
% 0.40/0.65 (^[B: $i, A: $i, C: $i] : trans(monotonicity(rewrite((((~organization(A)) | (~is_aligned(A, B))) | is_aligned(A, C)) <=> (is_aligned(A, C) | (~is_aligned(A, B)) | (~organization(A)))), (((((~organization(A)) | (~is_aligned(A, B))) | is_aligned(A, C)) | dissimilar(A, B, C)) <=> ((is_aligned(A, C) | (~is_aligned(A, B)) | (~organization(A))) | dissimilar(A, B, C)))), rewrite(((is_aligned(A, C) | (~is_aligned(A, B)) | (~organization(A))) | dissimilar(A, B, C)) <=> (dissimilar(A, B, C) | is_aligned(A, C) | (~is_aligned(A, B)) | (~organization(A)))), (((((~organization(A)) | (~is_aligned(A, B))) | is_aligned(A, C)) | dissimilar(A, B, C)) <=> (dissimilar(A, B, C) | is_aligned(A, C) | (~is_aligned(A, B)) | (~organization(A)))))),
% 0.40/0.65 inference(bind,[status(th)],[])).
% 0.40/0.65 tff(201,plain,
% 0.40/0.65 (![B: $i, A: $i, C: $i] : ((((~organization(A)) | (~is_aligned(A, B))) | is_aligned(A, C)) | dissimilar(A, B, C)) <=> ![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | is_aligned(A, C) | (~is_aligned(A, B)) | (~organization(A)))),
% 0.40/0.65 inference(quant_intro,[status(thm)],[200])).
% 0.40/0.65 tff(202,axiom,(![B: $i, A: $i, C: $i] : ((((~organization(A)) | (~is_aligned(A, B))) | is_aligned(A, C)) | dissimilar(A, B, C))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','definition_2_51')).
% 0.40/0.65 tff(203,plain,
% 0.40/0.65 (![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | is_aligned(A, C) | (~is_aligned(A, B)) | (~organization(A)))),
% 0.40/0.65 inference(modus_ponens,[status(thm)],[202, 201])).
% 0.40/0.65 tff(204,plain,
% 0.40/0.65 (![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | is_aligned(A, C) | (~is_aligned(A, B)) | (~organization(A)))),
% 0.40/0.65 inference(modus_ponens,[status(thm)],[203, 199])).
% 0.40/0.65 tff(205,plain,(
% 0.40/0.65 ![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | is_aligned(A, C) | (~is_aligned(A, B)) | (~organization(A)))),
% 0.40/0.65 inference(skolemize,[status(sab)],[204])).
% 0.40/0.65 tff(206,plain,
% 0.40/0.65 (![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | is_aligned(A, C) | (~is_aligned(A, B)) | (~organization(A)))),
% 0.40/0.65 inference(modus_ponens,[status(thm)],[205, 198])).
% 0.40/0.65 tff(207,plain,
% 0.40/0.65 (((~![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))),
% 0.40/0.65 inference(rewrite,[status(thm)],[])).
% 0.40/0.65 tff(208,plain,
% 0.40/0.65 ((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))),
% 0.40/0.65 inference(rewrite,[status(thm)],[])).
% 0.40/0.65 tff(209,plain,
% 0.40/0.65 (((~![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)))),
% 0.40/0.65 inference(monotonicity,[status(thm)],[208])).
% 0.40/0.65 tff(210,plain,
% 0.40/0.65 (((~![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))),
% 0.40/0.65 inference(transitivity,[status(thm)],[209, 207])).
% 0.40/0.65 tff(211,plain,
% 0.40/0.65 ((~![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)))),
% 0.40/0.65 inference(quant_inst,[status(thm)],[])).
% 0.40/0.65 tff(212,plain,
% 0.40/0.65 ((~![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | is_aligned(A, C) | (~is_aligned(A, B)) | (~organization(A)))) | (~organization(sk3)) | is_aligned(sk3, sk5) | (~is_aligned(sk3, sk4)) | dissimilar(sk3, sk4, sk5)),
% 0.40/0.65 inference(modus_ponens,[status(thm)],[211, 210])).
% 0.40/0.65 tff(213,plain,
% 0.40/0.65 ($false),
% 0.40/0.65 inference(unit_resolution,[status(thm)],[212, 206, 9, 108, 196, 195])).
% 0.40/0.65 tff(214,plain,(dissimilar(sk3, sk4, sk5) | is_aligned(sk3, sk5)), inference(lemma,lemma(discharge,[]))).
% 0.40/0.65 tff(215,plain,
% 0.40/0.65 (is_aligned(sk3, sk5)),
% 0.40/0.65 inference(unit_resolution,[status(thm)],[214, 194])).
% 0.40/0.65 tff(216,assumption,(has_immunity(sk3, sk5)), introduced(assumption)).
% 0.40/0.65 tff(217,plain,
% 0.40/0.65 (((~![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)))),
% 0.40/0.65 inference(rewrite,[status(thm)],[])).
% 0.40/0.65 tff(218,plain,
% 0.40/0.65 ((has_endowment(sk3) | (~has_immunity(sk3, sk5)) | (~organization(sk3))) <=> (has_endowment(sk3) | (~organization(sk3)) | (~has_immunity(sk3, sk5)))),
% 0.40/0.65 inference(rewrite,[status(thm)],[])).
% 0.40/0.65 tff(219,plain,
% 0.40/0.65 (((~![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))))),
% 0.40/0.65 inference(monotonicity,[status(thm)],[218])).
% 0.40/0.65 tff(220,plain,
% 0.40/0.65 (((~![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)))),
% 0.40/0.65 inference(transitivity,[status(thm)],[219, 217])).
% 0.40/0.65 tff(221,plain,
% 0.40/0.65 ((~![B: $i, A: $i] : (has_endowment(A) | (~has_immunity(A, B)) | (~organization(A)))) | (has_endowment(sk3) | (~has_immunity(sk3, sk5)) | (~organization(sk3)))),
% 0.40/0.65 inference(quant_inst,[status(thm)],[])).
% 0.40/0.65 tff(222,plain,
% 0.40/0.65 ((~![B: $i, A: $i] : (has_endowment(A) | (~has_immunity(A, B)) | (~organization(A)))) | has_endowment(sk3) | (~organization(sk3)) | (~has_immunity(sk3, sk5))),
% 0.40/0.65 inference(modus_ponens,[status(thm)],[221, 220])).
% 0.40/0.65 tff(223,plain,
% 0.40/0.65 ($false),
% 0.40/0.65 inference(unit_resolution,[status(thm)],[222, 40, 9, 30, 216])).
% 0.40/0.65 tff(224,plain,(~has_immunity(sk3, sk5)), inference(lemma,lemma(discharge,[]))).
% 0.40/0.65 tff(225,assumption,(~smaller(age(sk3, sk5), tau)), introduced(assumption)).
% 0.40/0.65 tff(226,assumption,(greater(age(sk3, sk5), tau)), introduced(assumption)).
% 0.40/0.65 tff(227,plain,
% 0.40/0.65 (smaller(sigma, tau) <=> smaller(sigma, tau)),
% 0.40/0.65 inference(rewrite,[status(thm)],[])).
% 0.40/0.65 tff(228,axiom,(smaller(sigma, tau)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','theorem_9_80')).
% 0.40/0.65 tff(229,plain,
% 0.40/0.65 (smaller(sigma, tau)),
% 0.40/0.65 inference(modus_ponens,[status(thm)],[228, 227])).
% 0.40/0.65 tff(230,plain,
% 0.40/0.65 (((~![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))) | ((~smaller(sigma, tau)) | greater(tau, sigma))) <=> ((~![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))) | (~smaller(sigma, tau)) | greater(tau, sigma))),
% 0.40/0.65 inference(rewrite,[status(thm)],[])).
% 0.40/0.65 tff(231,plain,
% 0.40/0.65 ((~![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))) | ((~smaller(sigma, tau)) | greater(tau, sigma))),
% 0.40/0.65 inference(quant_inst,[status(thm)],[])).
% 0.40/0.65 tff(232,plain,
% 0.40/0.65 ((~![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))) | (~smaller(sigma, tau)) | greater(tau, sigma)),
% 0.40/0.65 inference(modus_ponens,[status(thm)],[231, 230])).
% 0.40/0.65 tff(233,plain,
% 0.40/0.65 (greater(tau, sigma)),
% 0.40/0.65 inference(unit_resolution,[status(thm)],[232, 148, 229])).
% 0.40/0.65 tff(234,plain,
% 0.40/0.65 (![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B))) <=> ![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))),
% 0.40/0.65 inference(rewrite,[status(thm)],[])).
% 0.40/0.65 tff(235,plain,
% 0.40/0.65 (![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B))) <=> ![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))),
% 0.40/0.65 inference(rewrite,[status(thm)],[])).
% 0.40/0.65 tff(236,plain,
% 0.40/0.65 (^[B: $i, A: $i, C: $i] : rewrite((((~greater(A, B)) | (~greater(B, C))) | greater(A, C)) <=> (greater(A, C) | (~greater(B, C)) | (~greater(A, B))))),
% 0.40/0.65 inference(bind,[status(th)],[])).
% 0.40/0.65 tff(237,plain,
% 0.40/0.65 (![B: $i, A: $i, C: $i] : (((~greater(A, B)) | (~greater(B, C))) | greater(A, C)) <=> ![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))),
% 0.40/0.65 inference(quant_intro,[status(thm)],[236])).
% 0.40/0.65 tff(238,axiom,(![B: $i, A: $i, C: $i] : (((~greater(A, B)) | (~greater(B, C))) | greater(A, C))), file('/export/starexec/sandbox/benchmark/Axioms/MGT001-0.ax','meaning_postulate_greater_transitive_10')).
% 0.40/0.65 tff(239,plain,
% 0.40/0.65 (![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))),
% 0.40/0.65 inference(modus_ponens,[status(thm)],[238, 237])).
% 0.40/0.65 tff(240,plain,
% 0.40/0.65 (![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))),
% 0.40/0.65 inference(modus_ponens,[status(thm)],[239, 235])).
% 0.40/0.65 tff(241,plain,(
% 0.40/0.65 ![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))),
% 0.40/0.65 inference(skolemize,[status(sab)],[240])).
% 0.40/0.65 tff(242,plain,
% 0.40/0.65 (![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))),
% 0.40/0.65 inference(modus_ponens,[status(thm)],[241, 234])).
% 0.40/0.65 tff(243,plain,
% 0.40/0.65 (((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | ((~greater(age(sk3, sk5), tau)) | (~greater(tau, sigma)) | greater(age(sk3, sk5), sigma))) <=> ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (~greater(age(sk3, sk5), tau)) | (~greater(tau, sigma)) | greater(age(sk3, sk5), sigma))),
% 0.40/0.65 inference(rewrite,[status(thm)],[])).
% 0.40/0.65 tff(244,plain,
% 0.40/0.65 ((greater(age(sk3, sk5), sigma) | (~greater(tau, sigma)) | (~greater(age(sk3, sk5), tau))) <=> ((~greater(age(sk3, sk5), tau)) | (~greater(tau, sigma)) | greater(age(sk3, sk5), sigma))),
% 0.40/0.65 inference(rewrite,[status(thm)],[])).
% 0.40/0.65 tff(245,plain,
% 0.40/0.65 (((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(age(sk3, sk5), sigma) | (~greater(tau, sigma)) | (~greater(age(sk3, sk5), tau)))) <=> ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | ((~greater(age(sk3, sk5), tau)) | (~greater(tau, sigma)) | greater(age(sk3, sk5), sigma)))),
% 0.40/0.65 inference(monotonicity,[status(thm)],[244])).
% 0.40/0.65 tff(246,plain,
% 0.40/0.65 (((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(age(sk3, sk5), sigma) | (~greater(tau, sigma)) | (~greater(age(sk3, sk5), tau)))) <=> ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (~greater(age(sk3, sk5), tau)) | (~greater(tau, sigma)) | greater(age(sk3, sk5), sigma))),
% 0.40/0.65 inference(transitivity,[status(thm)],[245, 243])).
% 0.40/0.65 tff(247,plain,
% 0.40/0.65 ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(age(sk3, sk5), sigma) | (~greater(tau, sigma)) | (~greater(age(sk3, sk5), tau)))),
% 0.40/0.65 inference(quant_inst,[status(thm)],[])).
% 0.40/0.65 tff(248,plain,
% 0.40/0.65 ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (~greater(age(sk3, sk5), tau)) | (~greater(tau, sigma)) | greater(age(sk3, sk5), sigma)),
% 0.40/0.65 inference(modus_ponens,[status(thm)],[247, 246])).
% 0.40/0.65 tff(249,plain,
% 0.40/0.65 (greater(age(sk3, sk5), sigma)),
% 0.40/0.65 inference(unit_resolution,[status(thm)],[248, 242, 233, 226])).
% 0.40/0.65 tff(250,plain,
% 0.40/0.65 (~greater(sigma, age(sk3, sk5))),
% 0.40/0.65 inference(unit_resolution,[status(thm)],[140, 137, 249])).
% 0.40/0.65 tff(251,plain,
% 0.40/0.65 (~smaller(age(sk3, sk5), sigma)),
% 0.40/0.65 inference(unit_resolution,[status(thm)],[151, 148, 250])).
% 0.40/0.65 tff(252,plain,
% 0.40/0.65 (age(sk3, sk5) = sigma),
% 0.40/0.65 inference(unit_resolution,[status(thm)],[169, 251])).
% 0.40/0.65 tff(253,plain,
% 0.40/0.65 (greater(age(sk3, sk5), tau) <=> greater(sigma, tau)),
% 0.40/0.65 inference(monotonicity,[status(thm)],[252])).
% 0.40/0.65 tff(254,plain,
% 0.40/0.65 (greater(sigma, tau) <=> greater(age(sk3, sk5), tau)),
% 0.40/0.65 inference(symmetry,[status(thm)],[253])).
% 0.40/0.65 tff(255,plain,
% 0.40/0.65 ((~greater(sigma, tau)) <=> (~greater(age(sk3, sk5), tau))),
% 0.40/0.65 inference(monotonicity,[status(thm)],[254])).
% 0.40/0.65 tff(256,plain,
% 0.40/0.65 (((~![B: $i, A: $i] : ((~greater(A, B)) | (~greater(B, A)))) | ((~greater(sigma, tau)) | (~greater(tau, sigma)))) <=> ((~![B: $i, A: $i] : ((~greater(A, B)) | (~greater(B, A)))) | (~greater(sigma, tau)) | (~greater(tau, sigma)))),
% 0.40/0.65 inference(rewrite,[status(thm)],[])).
% 0.40/0.65 tff(257,plain,
% 0.40/0.65 ((~![B: $i, A: $i] : ((~greater(A, B)) | (~greater(B, A)))) | ((~greater(sigma, tau)) | (~greater(tau, sigma)))),
% 0.40/0.65 inference(quant_inst,[status(thm)],[])).
% 0.40/0.65 tff(258,plain,
% 0.40/0.65 ((~![B: $i, A: $i] : ((~greater(A, B)) | (~greater(B, A)))) | (~greater(sigma, tau)) | (~greater(tau, sigma))),
% 0.40/0.65 inference(modus_ponens,[status(thm)],[257, 256])).
% 0.40/0.65 tff(259,plain,
% 0.40/0.65 (~greater(sigma, tau)),
% 0.40/0.65 inference(unit_resolution,[status(thm)],[258, 137, 233])).
% 0.40/0.65 tff(260,plain,
% 0.40/0.65 (~greater(age(sk3, sk5), tau)),
% 0.40/0.65 inference(modus_ponens,[status(thm)],[259, 255])).
% 0.40/0.65 tff(261,plain,
% 0.40/0.65 ($false),
% 0.40/0.65 inference(unit_resolution,[status(thm)],[226, 260])).
% 0.40/0.65 tff(262,plain,(~greater(age(sk3, sk5), tau)), inference(lemma,lemma(discharge,[]))).
% 0.40/0.65 tff(263,plain,
% 0.40/0.65 (^[B: $i, A: $i] : refl(((A = B) | smaller(A, B) | greater(A, B)) <=> ((A = B) | smaller(A, B) | greater(A, B)))),
% 0.40/0.65 inference(bind,[status(th)],[])).
% 0.40/0.65 tff(264,plain,
% 0.40/0.65 (![B: $i, A: $i] : ((A = B) | smaller(A, B) | greater(A, B)) <=> ![B: $i, A: $i] : ((A = B) | smaller(A, B) | greater(A, B))),
% 0.40/0.65 inference(quant_intro,[status(thm)],[263])).
% 0.40/0.65 tff(265,plain,
% 0.40/0.65 (![B: $i, A: $i] : ((A = B) | smaller(A, B) | greater(A, B)) <=> ![B: $i, A: $i] : ((A = B) | smaller(A, B) | greater(A, B))),
% 0.40/0.65 inference(rewrite,[status(thm)],[])).
% 0.40/0.65 tff(266,plain,
% 0.40/0.65 (^[B: $i, A: $i] : trans(monotonicity(rewrite((smaller(A, B) | (A = B)) <=> ((A = B) | smaller(A, B))), (((smaller(A, B) | (A = B)) | greater(A, B)) <=> (((A = B) | smaller(A, B)) | greater(A, B)))), rewrite((((A = B) | smaller(A, B)) | greater(A, B)) <=> ((A = B) | smaller(A, B) | greater(A, B))), (((smaller(A, B) | (A = B)) | greater(A, B)) <=> ((A = B) | smaller(A, B) | greater(A, B))))),
% 0.40/0.66 inference(bind,[status(th)],[])).
% 0.40/0.66 tff(267,plain,
% 0.40/0.66 (![B: $i, A: $i] : ((smaller(A, B) | (A = B)) | greater(A, B)) <=> ![B: $i, A: $i] : ((A = B) | smaller(A, B) | greater(A, B))),
% 0.40/0.66 inference(quant_intro,[status(thm)],[266])).
% 0.40/0.66 tff(268,axiom,(![B: $i, A: $i] : ((smaller(A, B) | (A = B)) | greater(A, B))), file('/export/starexec/sandbox/benchmark/Axioms/MGT001-0.ax','meaning_postulate_greater_comparable_11')).
% 0.40/0.66 tff(269,plain,
% 0.40/0.66 (![B: $i, A: $i] : ((A = B) | smaller(A, B) | greater(A, B))),
% 0.40/0.66 inference(modus_ponens,[status(thm)],[268, 267])).
% 0.40/0.66 tff(270,plain,
% 0.40/0.66 (![B: $i, A: $i] : ((A = B) | smaller(A, B) | greater(A, B))),
% 0.40/0.66 inference(modus_ponens,[status(thm)],[269, 265])).
% 0.40/0.66 tff(271,plain,(
% 0.40/0.66 ![B: $i, A: $i] : ((A = B) | smaller(A, B) | greater(A, B))),
% 0.40/0.66 inference(skolemize,[status(sab)],[270])).
% 0.40/0.66 tff(272,plain,
% 0.40/0.66 (![B: $i, A: $i] : ((A = B) | smaller(A, B) | greater(A, B))),
% 0.40/0.66 inference(modus_ponens,[status(thm)],[271, 264])).
% 0.40/0.66 tff(273,plain,
% 0.40/0.66 (((~![B: $i, A: $i] : ((A = B) | smaller(A, B) | greater(A, B))) | (greater(age(sk3, sk5), tau) | smaller(age(sk3, sk5), tau) | (age(sk3, sk5) = tau))) <=> ((~![B: $i, A: $i] : ((A = B) | smaller(A, B) | greater(A, B))) | greater(age(sk3, sk5), tau) | smaller(age(sk3, sk5), tau) | (age(sk3, sk5) = tau))),
% 0.40/0.66 inference(rewrite,[status(thm)],[])).
% 0.40/0.66 tff(274,plain,
% 0.40/0.66 (((age(sk3, sk5) = tau) | smaller(age(sk3, sk5), tau) | greater(age(sk3, sk5), tau)) <=> (greater(age(sk3, sk5), tau) | smaller(age(sk3, sk5), tau) | (age(sk3, sk5) = tau))),
% 0.40/0.66 inference(rewrite,[status(thm)],[])).
% 0.40/0.66 tff(275,plain,
% 0.40/0.66 (((~![B: $i, A: $i] : ((A = B) | smaller(A, B) | greater(A, B))) | ((age(sk3, sk5) = tau) | smaller(age(sk3, sk5), tau) | greater(age(sk3, sk5), tau))) <=> ((~![B: $i, A: $i] : ((A = B) | smaller(A, B) | greater(A, B))) | (greater(age(sk3, sk5), tau) | smaller(age(sk3, sk5), tau) | (age(sk3, sk5) = tau)))),
% 0.40/0.66 inference(monotonicity,[status(thm)],[274])).
% 0.40/0.66 tff(276,plain,
% 0.40/0.66 (((~![B: $i, A: $i] : ((A = B) | smaller(A, B) | greater(A, B))) | ((age(sk3, sk5) = tau) | smaller(age(sk3, sk5), tau) | greater(age(sk3, sk5), tau))) <=> ((~![B: $i, A: $i] : ((A = B) | smaller(A, B) | greater(A, B))) | greater(age(sk3, sk5), tau) | smaller(age(sk3, sk5), tau) | (age(sk3, sk5) = tau))),
% 0.40/0.66 inference(transitivity,[status(thm)],[275, 273])).
% 0.40/0.66 tff(277,plain,
% 0.40/0.66 ((~![B: $i, A: $i] : ((A = B) | smaller(A, B) | greater(A, B))) | ((age(sk3, sk5) = tau) | smaller(age(sk3, sk5), tau) | greater(age(sk3, sk5), tau))),
% 0.40/0.66 inference(quant_inst,[status(thm)],[])).
% 0.40/0.66 tff(278,plain,
% 0.40/0.66 ((~![B: $i, A: $i] : ((A = B) | smaller(A, B) | greater(A, B))) | greater(age(sk3, sk5), tau) | smaller(age(sk3, sk5), tau) | (age(sk3, sk5) = tau)),
% 0.40/0.66 inference(modus_ponens,[status(thm)],[277, 276])).
% 0.40/0.66 tff(279,plain,
% 0.40/0.66 (smaller(age(sk3, sk5), tau) | (age(sk3, sk5) = tau)),
% 0.40/0.66 inference(unit_resolution,[status(thm)],[278, 272, 262])).
% 0.40/0.66 tff(280,plain,
% 0.40/0.66 (age(sk3, sk5) = tau),
% 0.40/0.66 inference(unit_resolution,[status(thm)],[279, 225])).
% 0.40/0.66 tff(281,plain,
% 0.40/0.66 (tau = age(sk3, sk5)),
% 0.40/0.66 inference(symmetry,[status(thm)],[280])).
% 0.40/0.66 tff(282,assumption,(age(sk3, sk5) = tau), introduced(assumption)).
% 0.40/0.66 tff(283,plain,
% 0.40/0.66 (smaller_or_equal(age(sk3, sk5), sigma) <=> smaller_or_equal(tau, sigma)),
% 0.40/0.66 inference(monotonicity,[status(thm)],[282])).
% 0.40/0.66 tff(284,plain,
% 0.40/0.66 (smaller_or_equal(tau, sigma) <=> smaller_or_equal(age(sk3, sk5), sigma)),
% 0.40/0.66 inference(symmetry,[status(thm)],[283])).
% 0.40/0.66 tff(285,plain,
% 0.40/0.66 ((~smaller_or_equal(tau, sigma)) <=> (~smaller_or_equal(age(sk3, sk5), sigma))),
% 0.40/0.66 inference(monotonicity,[status(thm)],[284])).
% 0.40/0.66 tff(286,assumption,(~smaller_or_equal(tau, sigma)), introduced(assumption)).
% 0.40/0.66 tff(287,plain,
% 0.40/0.66 (~smaller_or_equal(age(sk3, sk5), sigma)),
% 0.40/0.66 inference(modus_ponens,[status(thm)],[286, 285])).
% 0.40/0.66 tff(288,plain,
% 0.40/0.66 ($false),
% 0.40/0.66 inference(unit_resolution,[status(thm)],[155, 287])).
% 0.40/0.66 tff(289,plain,((~(age(sk3, sk5) = tau)) | smaller_or_equal(tau, sigma)), inference(lemma,lemma(discharge,[]))).
% 0.40/0.66 tff(290,plain,
% 0.40/0.66 (smaller_or_equal(tau, sigma)),
% 0.40/0.66 inference(unit_resolution,[status(thm)],[289, 280])).
% 0.40/0.66 tff(291,plain,
% 0.40/0.66 (((~![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))) | ((~smaller(tau, sigma)) | greater(sigma, tau))) <=> ((~![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))) | (~smaller(tau, sigma)) | greater(sigma, tau))),
% 0.40/0.66 inference(rewrite,[status(thm)],[])).
% 0.40/0.66 tff(292,plain,
% 0.40/0.66 ((~![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))) | ((~smaller(tau, sigma)) | greater(sigma, tau))),
% 0.40/0.66 inference(quant_inst,[status(thm)],[])).
% 0.40/0.66 tff(293,plain,
% 0.40/0.66 ((~![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))) | (~smaller(tau, sigma)) | greater(sigma, tau)),
% 0.40/0.66 inference(modus_ponens,[status(thm)],[292, 291])).
% 0.40/0.66 tff(294,plain,
% 0.40/0.66 (~smaller(tau, sigma)),
% 0.40/0.66 inference(unit_resolution,[status(thm)],[293, 148, 259])).
% 0.40/0.66 tff(295,plain,
% 0.40/0.66 (((~![B: $i, A: $i] : ((A = B) | smaller(A, B) | (~smaller_or_equal(A, B)))) | (smaller(tau, sigma) | (tau = sigma) | (~smaller_or_equal(tau, sigma)))) <=> ((~![B: $i, A: $i] : ((A = B) | smaller(A, B) | (~smaller_or_equal(A, B)))) | smaller(tau, sigma) | (tau = sigma) | (~smaller_or_equal(tau, sigma)))),
% 0.40/0.66 inference(rewrite,[status(thm)],[])).
% 0.40/0.66 tff(296,plain,
% 0.40/0.66 (((tau = sigma) | smaller(tau, sigma) | (~smaller_or_equal(tau, sigma))) <=> (smaller(tau, sigma) | (tau = sigma) | (~smaller_or_equal(tau, sigma)))),
% 0.40/0.66 inference(rewrite,[status(thm)],[])).
% 0.40/0.66 tff(297,plain,
% 0.40/0.66 (((~![B: $i, A: $i] : ((A = B) | smaller(A, B) | (~smaller_or_equal(A, B)))) | ((tau = sigma) | smaller(tau, sigma) | (~smaller_or_equal(tau, sigma)))) <=> ((~![B: $i, A: $i] : ((A = B) | smaller(A, B) | (~smaller_or_equal(A, B)))) | (smaller(tau, sigma) | (tau = sigma) | (~smaller_or_equal(tau, sigma))))),
% 0.40/0.66 inference(monotonicity,[status(thm)],[296])).
% 0.40/0.66 tff(298,plain,
% 0.40/0.66 (((~![B: $i, A: $i] : ((A = B) | smaller(A, B) | (~smaller_or_equal(A, B)))) | ((tau = sigma) | smaller(tau, sigma) | (~smaller_or_equal(tau, sigma)))) <=> ((~![B: $i, A: $i] : ((A = B) | smaller(A, B) | (~smaller_or_equal(A, B)))) | smaller(tau, sigma) | (tau = sigma) | (~smaller_or_equal(tau, sigma)))),
% 0.40/0.66 inference(transitivity,[status(thm)],[297, 295])).
% 0.40/0.66 tff(299,plain,
% 0.40/0.66 ((~![B: $i, A: $i] : ((A = B) | smaller(A, B) | (~smaller_or_equal(A, B)))) | ((tau = sigma) | smaller(tau, sigma) | (~smaller_or_equal(tau, sigma)))),
% 0.40/0.66 inference(quant_inst,[status(thm)],[])).
% 0.40/0.66 tff(300,plain,
% 0.40/0.66 ((~![B: $i, A: $i] : ((A = B) | smaller(A, B) | (~smaller_or_equal(A, B)))) | smaller(tau, sigma) | (tau = sigma) | (~smaller_or_equal(tau, sigma))),
% 0.40/0.66 inference(modus_ponens,[status(thm)],[299, 298])).
% 0.40/0.66 tff(301,plain,
% 0.40/0.66 ((tau = sigma) | (~smaller_or_equal(tau, sigma))),
% 0.40/0.66 inference(unit_resolution,[status(thm)],[300, 165, 294])).
% 0.40/0.66 tff(302,plain,
% 0.40/0.66 (tau = sigma),
% 0.40/0.66 inference(unit_resolution,[status(thm)],[301, 290])).
% 0.40/0.66 tff(303,plain,
% 0.40/0.66 (sigma = tau),
% 0.40/0.66 inference(symmetry,[status(thm)],[302])).
% 0.40/0.66 tff(304,plain,
% 0.40/0.66 (sigma = age(sk3, sk5)),
% 0.40/0.66 inference(transitivity,[status(thm)],[303, 281])).
% 0.40/0.66 tff(305,plain,
% 0.40/0.66 (smaller(sigma, tau) <=> smaller(age(sk3, sk5), tau)),
% 0.40/0.66 inference(monotonicity,[status(thm)],[304])).
% 0.40/0.66 tff(306,plain,
% 0.40/0.66 (smaller(age(sk3, sk5), tau) <=> smaller(sigma, tau)),
% 0.40/0.66 inference(symmetry,[status(thm)],[305])).
% 0.40/0.66 tff(307,plain,
% 0.40/0.66 ((~smaller(age(sk3, sk5), tau)) <=> (~smaller(sigma, tau))),
% 0.40/0.66 inference(monotonicity,[status(thm)],[306])).
% 0.40/0.66 tff(308,plain,
% 0.40/0.66 (~smaller(sigma, tau)),
% 0.40/0.66 inference(modus_ponens,[status(thm)],[225, 307])).
% 0.40/0.66 tff(309,plain,
% 0.40/0.66 ($false),
% 0.40/0.66 inference(unit_resolution,[status(thm)],[229, 308])).
% 0.40/0.66 tff(310,plain,(smaller(age(sk3, sk5), tau)), inference(lemma,lemma(discharge,[]))).
% 0.40/0.66 tff(311,plain,
% 0.40/0.66 (((~![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B))) | ((~smaller(age(sk3, sk5), tau)) | smaller_or_equal(age(sk3, sk5), tau))) <=> ((~![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B))) | (~smaller(age(sk3, sk5), tau)) | smaller_or_equal(age(sk3, sk5), tau))),
% 0.40/0.66 inference(rewrite,[status(thm)],[])).
% 0.40/0.66 tff(312,plain,
% 0.40/0.66 ((~![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B))) | ((~smaller(age(sk3, sk5), tau)) | smaller_or_equal(age(sk3, sk5), tau))),
% 0.40/0.66 inference(quant_inst,[status(thm)],[])).
% 0.40/0.66 tff(313,plain,
% 0.40/0.66 ((~![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B))) | (~smaller(age(sk3, sk5), tau)) | smaller_or_equal(age(sk3, sk5), tau)),
% 0.40/0.66 inference(modus_ponens,[status(thm)],[312, 311])).
% 0.40/0.66 tff(314,plain,
% 0.40/0.66 (smaller_or_equal(age(sk3, sk5), tau)),
% 0.40/0.66 inference(unit_resolution,[status(thm)],[313, 71, 310])).
% 0.40/0.66 tff(315,plain,
% 0.40/0.66 (((~![B: $i, A: $i] : ((~positional_advantage(A, B)) | (~smaller_or_equal(age(A, B), tau)) | (~robust_position(A)))) | ((~robust_position(sk3)) | (~positional_advantage(sk3, sk5)) | (~smaller_or_equal(age(sk3, sk5), tau)))) <=> ((~![B: $i, A: $i] : ((~positional_advantage(A, B)) | (~smaller_or_equal(age(A, B), tau)) | (~robust_position(A)))) | (~robust_position(sk3)) | (~positional_advantage(sk3, sk5)) | (~smaller_or_equal(age(sk3, sk5), tau)))),
% 0.40/0.66 inference(rewrite,[status(thm)],[])).
% 0.40/0.66 tff(316,plain,
% 0.40/0.66 (((~positional_advantage(sk3, sk5)) | (~smaller_or_equal(age(sk3, sk5), tau)) | (~robust_position(sk3))) <=> ((~robust_position(sk3)) | (~positional_advantage(sk3, sk5)) | (~smaller_or_equal(age(sk3, sk5), tau)))),
% 0.40/0.66 inference(rewrite,[status(thm)],[])).
% 0.40/0.66 tff(317,plain,
% 0.40/0.66 (((~![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)))) | ((~robust_position(sk3)) | (~positional_advantage(sk3, sk5)) | (~smaller_or_equal(age(sk3, sk5), tau))))),
% 0.40/0.66 inference(monotonicity,[status(thm)],[316])).
% 0.40/0.66 tff(318,plain,
% 0.40/0.66 (((~![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)))) | (~robust_position(sk3)) | (~positional_advantage(sk3, sk5)) | (~smaller_or_equal(age(sk3, sk5), tau)))),
% 0.40/0.66 inference(transitivity,[status(thm)],[317, 315])).
% 0.40/0.66 tff(319,plain,
% 0.40/0.66 ((~![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)))),
% 0.40/0.66 inference(quant_inst,[status(thm)],[])).
% 0.40/0.66 tff(320,plain,
% 0.40/0.66 ((~![B: $i, A: $i] : ((~positional_advantage(A, B)) | (~smaller_or_equal(age(A, B), tau)) | (~robust_position(A)))) | (~robust_position(sk3)) | (~positional_advantage(sk3, sk5)) | (~smaller_or_equal(age(sk3, sk5), tau))),
% 0.40/0.66 inference(modus_ponens,[status(thm)],[319, 318])).
% 0.40/0.66 tff(321,plain,
% 0.40/0.66 ((~positional_advantage(sk3, sk5)) | (~smaller_or_equal(age(sk3, sk5), tau))),
% 0.40/0.66 inference(unit_resolution,[status(thm)],[320, 89, 79])).
% 0.40/0.66 tff(322,plain,
% 0.40/0.66 (~positional_advantage(sk3, sk5)),
% 0.40/0.66 inference(unit_resolution,[status(thm)],[321, 314])).
% 0.40/0.66 tff(323,plain,
% 0.40/0.66 (((~![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))),
% 0.40/0.66 inference(rewrite,[status(thm)],[])).
% 0.40/0.66 tff(324,plain,
% 0.40/0.66 ((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))),
% 0.40/0.66 inference(rewrite,[status(thm)],[])).
% 0.40/0.66 tff(325,plain,
% 0.40/0.66 (((~![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)))),
% 0.40/0.66 inference(monotonicity,[status(thm)],[324])).
% 0.40/0.66 tff(326,plain,
% 0.40/0.66 (((~![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))),
% 0.40/0.66 inference(transitivity,[status(thm)],[325, 323])).
% 0.40/0.66 tff(327,plain,
% 0.40/0.66 ((~![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))),
% 0.40/0.66 inference(quant_inst,[status(thm)],[])).
% 0.40/0.66 tff(328,plain,
% 0.40/0.66 ((~![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)),
% 0.40/0.66 inference(modus_ponens,[status(thm)],[327, 326])).
% 0.40/0.66 tff(329,plain,
% 0.40/0.66 (has_immunity(sk3, sk5) | (~is_aligned(sk3, sk5)) | (hazard_of_mortality(sk3, sk5) = mod2)),
% 0.40/0.66 inference(unit_resolution,[status(thm)],[328, 118, 9, 322])).
% 0.40/0.66 tff(330,plain,
% 0.40/0.66 ((~is_aligned(sk3, sk5)) | (hazard_of_mortality(sk3, sk5) = mod2)),
% 0.40/0.66 inference(unit_resolution,[status(thm)],[329, 224])).
% 0.40/0.66 tff(331,plain,
% 0.40/0.66 (hazard_of_mortality(sk3, sk5) = mod2),
% 0.40/0.66 inference(unit_resolution,[status(thm)],[330, 215])).
% 0.40/0.66 tff(332,plain,
% 0.40/0.66 (hazard_of_mortality(sk3, sk5) = hazard_of_mortality(sk3, sk4)),
% 0.40/0.66 inference(modus_ponens,[status(thm)],[331, 129])).
% 0.40/0.66 tff(333,assumption,(~smaller(hazard_of_mortality(sk3, sk7), hazard_of_mortality(sk3, sk5))), introduced(assumption)).
% 0.40/0.66 tff(334,assumption,(has_immunity(sk3, sk7)), introduced(assumption)).
% 0.40/0.66 tff(335,plain,
% 0.40/0.66 (((~![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)))),
% 0.40/0.66 inference(rewrite,[status(thm)],[])).
% 0.40/0.66 tff(336,plain,
% 0.40/0.66 ((has_endowment(sk3) | (~has_immunity(sk3, sk7)) | (~organization(sk3))) <=> (has_endowment(sk3) | (~organization(sk3)) | (~has_immunity(sk3, sk7)))),
% 0.40/0.66 inference(rewrite,[status(thm)],[])).
% 0.40/0.66 tff(337,plain,
% 0.40/0.66 (((~![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))))),
% 0.40/0.67 inference(monotonicity,[status(thm)],[336])).
% 0.40/0.67 tff(338,plain,
% 0.40/0.67 (((~![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)))),
% 0.40/0.67 inference(transitivity,[status(thm)],[337, 335])).
% 0.40/0.67 tff(339,plain,
% 0.40/0.67 ((~![B: $i, A: $i] : (has_endowment(A) | (~has_immunity(A, B)) | (~organization(A)))) | (has_endowment(sk3) | (~has_immunity(sk3, sk7)) | (~organization(sk3)))),
% 0.40/0.67 inference(quant_inst,[status(thm)],[])).
% 0.40/0.67 tff(340,plain,
% 0.40/0.67 ((~![B: $i, A: $i] : (has_endowment(A) | (~has_immunity(A, B)) | (~organization(A)))) | has_endowment(sk3) | (~organization(sk3)) | (~has_immunity(sk3, sk7))),
% 0.40/0.67 inference(modus_ponens,[status(thm)],[339, 338])).
% 0.40/0.67 tff(341,plain,
% 0.40/0.67 ($false),
% 0.40/0.67 inference(unit_resolution,[status(thm)],[340, 40, 9, 30, 334])).
% 0.40/0.67 tff(342,plain,(~has_immunity(sk3, sk7)), inference(lemma,lemma(discharge,[]))).
% 0.40/0.67 tff(343,assumption,(hazard_of_mortality(sk3, sk5) = high), introduced(assumption)).
% 0.40/0.67 tff(344,assumption,(~has_immunity(sk3, sk7)), introduced(assumption)).
% 0.40/0.67 tff(345,assumption,(hazard_of_mortality(sk3, sk7) = mod1), introduced(assumption)).
% 0.40/0.67 tff(346,plain,
% 0.40/0.67 (smaller(hazard_of_mortality(sk3, sk7), hazard_of_mortality(sk3, sk5)) <=> smaller(mod1, high)),
% 0.40/0.67 inference(monotonicity,[status(thm)],[345, 343])).
% 0.40/0.67 tff(347,plain,
% 0.40/0.67 (smaller(mod1, high) <=> smaller(hazard_of_mortality(sk3, sk7), hazard_of_mortality(sk3, sk5))),
% 0.40/0.67 inference(symmetry,[status(thm)],[346])).
% 0.40/0.67 tff(348,plain,
% 0.40/0.67 (greater(high, mod1) <=> greater(high, mod1)),
% 0.40/0.67 inference(rewrite,[status(thm)],[])).
% 0.40/0.67 tff(349,axiom,(greater(high, mod1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','assumption_18a_68')).
% 0.40/0.67 tff(350,plain,
% 0.40/0.67 (greater(high, mod1)),
% 0.40/0.67 inference(modus_ponens,[status(thm)],[349, 348])).
% 0.40/0.67 tff(351,plain,
% 0.40/0.67 (((~![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))),
% 0.40/0.67 inference(rewrite,[status(thm)],[])).
% 0.40/0.67 tff(352,plain,
% 0.40/0.67 ((~![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))) | ((~greater(high, mod1)) | smaller(mod1, high))),
% 0.40/0.67 inference(quant_inst,[status(thm)],[])).
% 0.40/0.67 tff(353,plain,
% 0.40/0.67 ((~![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))) | (~greater(high, mod1)) | smaller(mod1, high)),
% 0.40/0.67 inference(modus_ponens,[status(thm)],[352, 351])).
% 0.40/0.67 tff(354,plain,
% 0.40/0.67 (smaller(mod1, high)),
% 0.40/0.67 inference(unit_resolution,[status(thm)],[353, 60, 350])).
% 0.40/0.67 tff(355,plain,
% 0.40/0.67 (smaller(hazard_of_mortality(sk3, sk7), hazard_of_mortality(sk3, sk5))),
% 0.40/0.67 inference(modus_ponens,[status(thm)],[354, 347])).
% 0.40/0.67 tff(356,plain,
% 0.40/0.67 ($false),
% 0.40/0.67 inference(unit_resolution,[status(thm)],[333, 355])).
% 0.40/0.67 tff(357,plain,((~(hazard_of_mortality(sk3, sk5) = high)) | smaller(hazard_of_mortality(sk3, sk7), hazard_of_mortality(sk3, sk5)) | (~(hazard_of_mortality(sk3, sk7) = mod1))), inference(lemma,lemma(discharge,[]))).
% 0.40/0.67 tff(358,plain,
% 0.40/0.67 (~(hazard_of_mortality(sk3, sk7) = mod1)),
% 0.40/0.67 inference(unit_resolution,[status(thm)],[357, 343, 333])).
% 0.40/0.67 tff(359,plain,
% 0.40/0.67 (greater(age(sk3, sk7), tau) <=> greater(age(sk3, sk7), tau)),
% 0.40/0.67 inference(rewrite,[status(thm)],[])).
% 0.40/0.67 tff(360,axiom,(greater(age(sk3, sk7), tau)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','theorem_9_84')).
% 0.40/0.67 tff(361,plain,
% 0.40/0.67 (greater(age(sk3, sk7), tau)),
% 0.40/0.67 inference(modus_ponens,[status(thm)],[360, 359])).
% 0.40/0.67 tff(362,plain,
% 0.40/0.67 (^[B: $i, A: $i] : refl((positional_advantage(A, B) | (~robust_position(A)) | (~greater(age(A, B), tau))) <=> (positional_advantage(A, B) | (~robust_position(A)) | (~greater(age(A, B), tau))))),
% 0.40/0.67 inference(bind,[status(th)],[])).
% 0.40/0.67 tff(363,plain,
% 0.40/0.67 (![B: $i, A: $i] : (positional_advantage(A, B) | (~robust_position(A)) | (~greater(age(A, B), tau))) <=> ![B: $i, A: $i] : (positional_advantage(A, B) | (~robust_position(A)) | (~greater(age(A, B), tau)))),
% 0.40/0.67 inference(quant_intro,[status(thm)],[362])).
% 0.40/0.67 tff(364,plain,
% 0.40/0.67 (![B: $i, A: $i] : (positional_advantage(A, B) | (~robust_position(A)) | (~greater(age(A, B), tau))) <=> ![B: $i, A: $i] : (positional_advantage(A, B) | (~robust_position(A)) | (~greater(age(A, B), tau)))),
% 0.40/0.67 inference(rewrite,[status(thm)],[])).
% 0.40/0.67 tff(365,plain,
% 0.40/0.67 (^[B: $i, A: $i] : rewrite((((~robust_position(A)) | (~greater(age(A, B), tau))) | positional_advantage(A, B)) <=> (positional_advantage(A, B) | (~robust_position(A)) | (~greater(age(A, B), tau))))),
% 0.40/0.67 inference(bind,[status(th)],[])).
% 0.40/0.67 tff(366,plain,
% 0.40/0.67 (![B: $i, A: $i] : (((~robust_position(A)) | (~greater(age(A, B), tau))) | positional_advantage(A, B)) <=> ![B: $i, A: $i] : (positional_advantage(A, B) | (~robust_position(A)) | (~greater(age(A, B), tau)))),
% 0.40/0.67 inference(quant_intro,[status(thm)],[365])).
% 0.40/0.67 tff(367,axiom,(![B: $i, A: $i] : (((~robust_position(A)) | (~greater(age(A, B), tau))) | positional_advantage(A, B))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','definition_4_58')).
% 0.40/0.67 tff(368,plain,
% 0.40/0.67 (![B: $i, A: $i] : (positional_advantage(A, B) | (~robust_position(A)) | (~greater(age(A, B), tau)))),
% 0.40/0.67 inference(modus_ponens,[status(thm)],[367, 366])).
% 0.40/0.67 tff(369,plain,
% 0.40/0.67 (![B: $i, A: $i] : (positional_advantage(A, B) | (~robust_position(A)) | (~greater(age(A, B), tau)))),
% 0.40/0.67 inference(modus_ponens,[status(thm)],[368, 364])).
% 0.40/0.67 tff(370,plain,(
% 0.40/0.67 ![B: $i, A: $i] : (positional_advantage(A, B) | (~robust_position(A)) | (~greater(age(A, B), tau)))),
% 0.40/0.67 inference(skolemize,[status(sab)],[369])).
% 0.40/0.67 tff(371,plain,
% 0.40/0.67 (![B: $i, A: $i] : (positional_advantage(A, B) | (~robust_position(A)) | (~greater(age(A, B), tau)))),
% 0.40/0.67 inference(modus_ponens,[status(thm)],[370, 363])).
% 0.40/0.67 tff(372,plain,
% 0.40/0.67 (((~![B: $i, A: $i] : (positional_advantage(A, B) | (~robust_position(A)) | (~greater(age(A, B), tau)))) | ((~greater(age(sk3, sk7), tau)) | (~robust_position(sk3)) | positional_advantage(sk3, sk7))) <=> ((~![B: $i, A: $i] : (positional_advantage(A, B) | (~robust_position(A)) | (~greater(age(A, B), tau)))) | (~greater(age(sk3, sk7), tau)) | (~robust_position(sk3)) | positional_advantage(sk3, sk7))),
% 0.40/0.67 inference(rewrite,[status(thm)],[])).
% 0.40/0.67 tff(373,plain,
% 0.40/0.67 ((positional_advantage(sk3, sk7) | (~robust_position(sk3)) | (~greater(age(sk3, sk7), tau))) <=> ((~greater(age(sk3, sk7), tau)) | (~robust_position(sk3)) | positional_advantage(sk3, sk7))),
% 0.40/0.67 inference(rewrite,[status(thm)],[])).
% 0.40/0.67 tff(374,plain,
% 0.40/0.67 (((~![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)))) | ((~greater(age(sk3, sk7), tau)) | (~robust_position(sk3)) | positional_advantage(sk3, sk7)))),
% 0.40/0.67 inference(monotonicity,[status(thm)],[373])).
% 0.40/0.67 tff(375,plain,
% 0.40/0.67 (((~![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)))) | (~greater(age(sk3, sk7), tau)) | (~robust_position(sk3)) | positional_advantage(sk3, sk7))),
% 0.40/0.67 inference(transitivity,[status(thm)],[374, 372])).
% 0.40/0.67 tff(376,plain,
% 0.40/0.67 ((~![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)))),
% 0.40/0.67 inference(quant_inst,[status(thm)],[])).
% 0.40/0.67 tff(377,plain,
% 0.40/0.67 ((~![B: $i, A: $i] : (positional_advantage(A, B) | (~robust_position(A)) | (~greater(age(A, B), tau)))) | (~greater(age(sk3, sk7), tau)) | (~robust_position(sk3)) | positional_advantage(sk3, sk7)),
% 0.40/0.67 inference(modus_ponens,[status(thm)],[376, 375])).
% 0.40/0.67 tff(378,plain,
% 0.40/0.67 (positional_advantage(sk3, sk7)),
% 0.40/0.67 inference(unit_resolution,[status(thm)],[377, 371, 79, 361])).
% 0.40/0.67 tff(379,plain,
% 0.40/0.67 (^[B: $i, A: $i] : refl((has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = mod1)) <=> (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = mod1)))),
% 0.40/0.67 inference(bind,[status(th)],[])).
% 0.40/0.67 tff(380,plain,
% 0.40/0.67 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = mod1)) <=> ![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = mod1))),
% 0.40/0.67 inference(quant_intro,[status(thm)],[379])).
% 0.40/0.67 tff(381,plain,
% 0.40/0.67 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = mod1)) <=> ![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = mod1))),
% 0.40/0.67 inference(rewrite,[status(thm)],[])).
% 0.40/0.67 tff(382,plain,
% 0.40/0.67 (^[B: $i, A: $i] : trans(monotonicity(trans(monotonicity(rewrite((((~organization(A)) | has_immunity(A, B)) | is_aligned(A, B)) <=> (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B))), (((((~organization(A)) | has_immunity(A, B)) | is_aligned(A, B)) | (~positional_advantage(A, B))) <=> ((has_immunity(A, B) | (~organization(A)) | is_aligned(A, B)) | (~positional_advantage(A, B))))), rewrite(((has_immunity(A, B) | (~organization(A)) | is_aligned(A, B)) | (~positional_advantage(A, B))) <=> (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | (~positional_advantage(A, B)))), (((((~organization(A)) | has_immunity(A, B)) | is_aligned(A, B)) | (~positional_advantage(A, B))) <=> (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | (~positional_advantage(A, B))))), ((((((~organization(A)) | has_immunity(A, B)) | is_aligned(A, B)) | (~positional_advantage(A, B))) | (hazard_of_mortality(A, B) = mod1)) <=> ((has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | (~positional_advantage(A, B))) | (hazard_of_mortality(A, B) = mod1)))), rewrite(((has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | (~positional_advantage(A, B))) | (hazard_of_mortality(A, B) = mod1)) <=> (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = mod1))), ((((((~organization(A)) | has_immunity(A, B)) | is_aligned(A, B)) | (~positional_advantage(A, B))) | (hazard_of_mortality(A, B) = mod1)) <=> (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = mod1))))),
% 0.40/0.67 inference(bind,[status(th)],[])).
% 0.40/0.67 tff(383,plain,
% 0.40/0.67 (![B: $i, A: $i] : (((((~organization(A)) | has_immunity(A, B)) | is_aligned(A, B)) | (~positional_advantage(A, B))) | (hazard_of_mortality(A, B) = mod1)) <=> ![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = mod1))),
% 0.40/0.67 inference(quant_intro,[status(thm)],[382])).
% 0.40/0.67 tff(384,axiom,(![B: $i, A: $i] : (((((~organization(A)) | has_immunity(A, B)) | is_aligned(A, B)) | (~positional_advantage(A, B))) | (hazard_of_mortality(A, B) = mod1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','assumption_17_65')).
% 0.40/0.67 tff(385,plain,
% 0.40/0.67 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = mod1))),
% 0.40/0.67 inference(modus_ponens,[status(thm)],[384, 383])).
% 0.40/0.67 tff(386,plain,
% 0.40/0.67 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = mod1))),
% 0.40/0.67 inference(modus_ponens,[status(thm)],[385, 381])).
% 0.40/0.67 tff(387,plain,(
% 0.40/0.67 ![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = mod1))),
% 0.40/0.67 inference(skolemize,[status(sab)],[386])).
% 0.40/0.67 tff(388,plain,
% 0.40/0.67 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = mod1))),
% 0.40/0.67 inference(modus_ponens,[status(thm)],[387, 380])).
% 0.40/0.67 tff(389,plain,
% 0.40/0.67 (((~![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))),
% 0.40/0.67 inference(rewrite,[status(thm)],[])).
% 0.40/0.67 tff(390,plain,
% 0.40/0.67 ((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))),
% 0.40/0.67 inference(rewrite,[status(thm)],[])).
% 0.40/0.67 tff(391,plain,
% 0.40/0.67 (((~![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)))),
% 0.40/0.67 inference(monotonicity,[status(thm)],[390])).
% 0.40/0.67 tff(392,plain,
% 0.40/0.67 (((~![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))),
% 0.40/0.67 inference(transitivity,[status(thm)],[391, 389])).
% 0.40/0.67 tff(393,plain,
% 0.40/0.67 ((~![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))),
% 0.40/0.67 inference(quant_inst,[status(thm)],[])).
% 0.40/0.67 tff(394,plain,
% 0.40/0.67 ((~![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)),
% 0.40/0.67 inference(modus_ponens,[status(thm)],[393, 392])).
% 0.40/0.67 tff(395,plain,
% 0.40/0.67 (is_aligned(sk3, sk7) | has_immunity(sk3, sk7) | (hazard_of_mortality(sk3, sk7) = mod1)),
% 0.40/0.67 inference(unit_resolution,[status(thm)],[394, 388, 9, 378])).
% 0.40/0.67 tff(396,plain,
% 0.40/0.67 (is_aligned(sk3, sk7)),
% 0.40/0.67 inference(unit_resolution,[status(thm)],[395, 358, 344])).
% 0.40/0.67 tff(397,plain,
% 0.40/0.67 (^[B: $i, A: $i] : refl((has_immunity(A, B) | (~organization(A)) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = low) | (~is_aligned(A, B))) <=> (has_immunity(A, B) | (~organization(A)) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = low) | (~is_aligned(A, B))))),
% 0.40/0.67 inference(bind,[status(th)],[])).
% 0.40/0.67 tff(398,plain,
% 0.40/0.67 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = low) | (~is_aligned(A, B))) <=> ![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = low) | (~is_aligned(A, B)))),
% 0.40/0.67 inference(quant_intro,[status(thm)],[397])).
% 0.40/0.67 tff(399,plain,
% 0.40/0.67 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = low) | (~is_aligned(A, B))) <=> ![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = low) | (~is_aligned(A, B)))),
% 0.40/0.67 inference(rewrite,[status(thm)],[])).
% 0.40/0.67 tff(400,plain,
% 0.40/0.67 (^[B: $i, A: $i] : trans(monotonicity(trans(monotonicity(rewrite((((~organization(A)) | has_immunity(A, B)) | (~is_aligned(A, B))) <=> (has_immunity(A, B) | (~organization(A)) | (~is_aligned(A, B)))), (((((~organization(A)) | has_immunity(A, B)) | (~is_aligned(A, B))) | (~positional_advantage(A, B))) <=> ((has_immunity(A, B) | (~organization(A)) | (~is_aligned(A, B))) | (~positional_advantage(A, B))))), rewrite(((has_immunity(A, B) | (~organization(A)) | (~is_aligned(A, B))) | (~positional_advantage(A, B))) <=> (has_immunity(A, B) | (~organization(A)) | (~positional_advantage(A, B)) | (~is_aligned(A, B)))), (((((~organization(A)) | has_immunity(A, B)) | (~is_aligned(A, B))) | (~positional_advantage(A, B))) <=> (has_immunity(A, B) | (~organization(A)) | (~positional_advantage(A, B)) | (~is_aligned(A, B))))), ((((((~organization(A)) | has_immunity(A, B)) | (~is_aligned(A, B))) | (~positional_advantage(A, B))) | (hazard_of_mortality(A, B) = low)) <=> ((has_immunity(A, B) | (~organization(A)) | (~positional_advantage(A, B)) | (~is_aligned(A, B))) | (hazard_of_mortality(A, B) = low)))), rewrite(((has_immunity(A, B) | (~organization(A)) | (~positional_advantage(A, B)) | (~is_aligned(A, B))) | (hazard_of_mortality(A, B) = low)) <=> (has_immunity(A, B) | (~organization(A)) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = low) | (~is_aligned(A, B)))), ((((((~organization(A)) | has_immunity(A, B)) | (~is_aligned(A, B))) | (~positional_advantage(A, B))) | (hazard_of_mortality(A, B) = low)) <=> (has_immunity(A, B) | (~organization(A)) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = low) | (~is_aligned(A, B)))))),
% 0.40/0.67 inference(bind,[status(th)],[])).
% 0.40/0.67 tff(401,plain,
% 0.40/0.67 (![B: $i, A: $i] : (((((~organization(A)) | has_immunity(A, B)) | (~is_aligned(A, B))) | (~positional_advantage(A, B))) | (hazard_of_mortality(A, B) = low)) <=> ![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = low) | (~is_aligned(A, B)))),
% 0.40/0.67 inference(quant_intro,[status(thm)],[400])).
% 0.40/0.67 tff(402,axiom,(![B: $i, A: $i] : (((((~organization(A)) | has_immunity(A, B)) | (~is_aligned(A, B))) | (~positional_advantage(A, B))) | (hazard_of_mortality(A, B) = low))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','assumption_17_64')).
% 0.40/0.67 tff(403,plain,
% 0.40/0.67 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = low) | (~is_aligned(A, B)))),
% 0.40/0.67 inference(modus_ponens,[status(thm)],[402, 401])).
% 0.40/0.67 tff(404,plain,
% 0.40/0.67 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = low) | (~is_aligned(A, B)))),
% 0.40/0.67 inference(modus_ponens,[status(thm)],[403, 399])).
% 0.40/0.67 tff(405,plain,(
% 0.40/0.67 ![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = low) | (~is_aligned(A, B)))),
% 0.40/0.67 inference(skolemize,[status(sab)],[404])).
% 0.40/0.67 tff(406,plain,
% 0.40/0.67 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = low) | (~is_aligned(A, B)))),
% 0.40/0.67 inference(modus_ponens,[status(thm)],[405, 398])).
% 0.40/0.67 tff(407,plain,
% 0.40/0.67 (((~![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)))),
% 0.40/0.67 inference(rewrite,[status(thm)],[])).
% 0.40/0.67 tff(408,plain,
% 0.40/0.67 ((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)))),
% 0.40/0.67 inference(rewrite,[status(thm)],[])).
% 0.40/0.67 tff(409,plain,
% 0.40/0.67 (((~![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))))),
% 0.40/0.67 inference(monotonicity,[status(thm)],[408])).
% 0.40/0.67 tff(410,plain,
% 0.40/0.67 (((~![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)))),
% 0.40/0.67 inference(transitivity,[status(thm)],[409, 407])).
% 0.40/0.67 tff(411,plain,
% 0.40/0.67 ((~![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)))),
% 0.40/0.67 inference(quant_inst,[status(thm)],[])).
% 0.40/0.67 tff(412,plain,
% 0.40/0.67 ((~![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))),
% 0.40/0.67 inference(modus_ponens,[status(thm)],[411, 410])).
% 0.40/0.67 tff(413,plain,
% 0.40/0.67 (has_immunity(sk3, sk7) | (hazard_of_mortality(sk3, sk7) = low) | (~is_aligned(sk3, sk7))),
% 0.40/0.68 inference(unit_resolution,[status(thm)],[412, 406, 9, 378])).
% 0.40/0.68 tff(414,plain,
% 0.40/0.68 (hazard_of_mortality(sk3, sk7) = low),
% 0.40/0.68 inference(unit_resolution,[status(thm)],[413, 396, 344])).
% 0.40/0.68 tff(415,plain,
% 0.40/0.68 (smaller(hazard_of_mortality(sk3, sk7), hazard_of_mortality(sk3, sk5)) <=> smaller(low, high)),
% 0.40/0.68 inference(monotonicity,[status(thm)],[414, 343])).
% 0.40/0.68 tff(416,plain,
% 0.40/0.68 (smaller(low, high) <=> smaller(hazard_of_mortality(sk3, sk7), hazard_of_mortality(sk3, sk5))),
% 0.40/0.68 inference(symmetry,[status(thm)],[415])).
% 0.40/0.68 tff(417,plain,
% 0.40/0.68 (greater(mod1, low) <=> greater(mod1, low)),
% 0.40/0.68 inference(rewrite,[status(thm)],[])).
% 0.40/0.68 tff(418,axiom,(greater(mod1, low)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','assumption_18b_69')).
% 0.40/0.68 tff(419,plain,
% 0.40/0.68 (greater(mod1, low)),
% 0.40/0.68 inference(modus_ponens,[status(thm)],[418, 417])).
% 0.40/0.68 tff(420,plain,
% 0.40/0.68 (((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(high, low) | (~greater(mod1, low)) | (~greater(high, mod1)))) <=> ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | greater(high, low) | (~greater(mod1, low)) | (~greater(high, mod1)))),
% 0.40/0.68 inference(rewrite,[status(thm)],[])).
% 0.40/0.68 tff(421,plain,
% 0.40/0.68 ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(high, low) | (~greater(mod1, low)) | (~greater(high, mod1)))),
% 0.40/0.68 inference(quant_inst,[status(thm)],[])).
% 0.40/0.68 tff(422,plain,
% 0.40/0.68 ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | greater(high, low) | (~greater(mod1, low)) | (~greater(high, mod1))),
% 0.40/0.68 inference(modus_ponens,[status(thm)],[421, 420])).
% 0.40/0.68 tff(423,plain,
% 0.40/0.68 (greater(high, low)),
% 0.40/0.68 inference(unit_resolution,[status(thm)],[422, 242, 350, 419])).
% 0.40/0.68 tff(424,plain,
% 0.40/0.68 (((~![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))),
% 0.40/0.68 inference(rewrite,[status(thm)],[])).
% 0.40/0.68 tff(425,plain,
% 0.40/0.68 ((~![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))) | ((~greater(high, low)) | smaller(low, high))),
% 0.40/0.68 inference(quant_inst,[status(thm)],[])).
% 0.40/0.68 tff(426,plain,
% 0.40/0.68 ((~![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))) | (~greater(high, low)) | smaller(low, high)),
% 0.40/0.68 inference(modus_ponens,[status(thm)],[425, 424])).
% 0.40/0.68 tff(427,plain,
% 0.40/0.68 (smaller(low, high)),
% 0.40/0.68 inference(unit_resolution,[status(thm)],[426, 60, 423])).
% 0.40/0.68 tff(428,plain,
% 0.40/0.68 (smaller(hazard_of_mortality(sk3, sk7), hazard_of_mortality(sk3, sk5))),
% 0.40/0.68 inference(modus_ponens,[status(thm)],[427, 416])).
% 0.40/0.68 tff(429,plain,
% 0.40/0.68 ($false),
% 0.40/0.68 inference(unit_resolution,[status(thm)],[333, 428])).
% 0.40/0.68 tff(430,plain,((~(hazard_of_mortality(sk3, sk5) = high)) | smaller(hazard_of_mortality(sk3, sk7), hazard_of_mortality(sk3, sk5)) | has_immunity(sk3, sk7)), inference(lemma,lemma(discharge,[]))).
% 0.40/0.68 tff(431,plain,
% 0.40/0.68 ((~(hazard_of_mortality(sk3, sk5) = high)) | smaller(hazard_of_mortality(sk3, sk7), hazard_of_mortality(sk3, sk5))),
% 0.40/0.68 inference(unit_resolution,[status(thm)],[430, 342])).
% 0.40/0.68 tff(432,plain,
% 0.40/0.68 (~(hazard_of_mortality(sk3, sk5) = high)),
% 0.40/0.68 inference(unit_resolution,[status(thm)],[431, 333])).
% 0.40/0.68 tff(433,assumption,(~(hazard_of_mortality(sk3, sk5) = mod2)), introduced(assumption)).
% 0.40/0.68 tff(434,assumption,(~has_immunity(sk3, sk5)), introduced(assumption)).
% 0.40/0.68 tff(435,assumption,(~(hazard_of_mortality(sk3, sk5) = high)), introduced(assumption)).
% 0.40/0.68 tff(436,assumption,(~positional_advantage(sk3, sk5)), introduced(assumption)).
% 0.40/0.68 tff(437,plain,
% 0.40/0.68 (^[B: $i, A: $i] : refl((has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | positional_advantage(A, B) | (hazard_of_mortality(A, B) = high)) <=> (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | positional_advantage(A, B) | (hazard_of_mortality(A, B) = high)))),
% 0.40/0.68 inference(bind,[status(th)],[])).
% 0.40/0.68 tff(438,plain,
% 0.40/0.68 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | positional_advantage(A, B) | (hazard_of_mortality(A, B) = high)) <=> ![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | positional_advantage(A, B) | (hazard_of_mortality(A, B) = high))),
% 0.40/0.68 inference(quant_intro,[status(thm)],[437])).
% 0.40/0.68 tff(439,plain,
% 0.40/0.68 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | positional_advantage(A, B) | (hazard_of_mortality(A, B) = high)) <=> ![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | positional_advantage(A, B) | (hazard_of_mortality(A, B) = high))),
% 0.40/0.68 inference(rewrite,[status(thm)],[])).
% 0.40/0.68 tff(440,plain,
% 0.40/0.68 (^[B: $i, A: $i] : trans(monotonicity(trans(monotonicity(rewrite((((~organization(A)) | has_immunity(A, B)) | is_aligned(A, B)) <=> (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B))), (((((~organization(A)) | has_immunity(A, B)) | is_aligned(A, B)) | positional_advantage(A, B)) <=> ((has_immunity(A, B) | (~organization(A)) | is_aligned(A, B)) | positional_advantage(A, B)))), rewrite(((has_immunity(A, B) | (~organization(A)) | is_aligned(A, B)) | positional_advantage(A, B)) <=> (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | positional_advantage(A, B))), (((((~organization(A)) | has_immunity(A, B)) | is_aligned(A, B)) | positional_advantage(A, B)) <=> (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | positional_advantage(A, B)))), ((((((~organization(A)) | has_immunity(A, B)) | is_aligned(A, B)) | positional_advantage(A, B)) | (hazard_of_mortality(A, B) = high)) <=> ((has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | positional_advantage(A, B)) | (hazard_of_mortality(A, B) = high)))), rewrite(((has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | positional_advantage(A, B)) | (hazard_of_mortality(A, B) = high)) <=> (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | positional_advantage(A, B) | (hazard_of_mortality(A, B) = high))), ((((((~organization(A)) | has_immunity(A, B)) | is_aligned(A, B)) | positional_advantage(A, B)) | (hazard_of_mortality(A, B) = high)) <=> (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | positional_advantage(A, B) | (hazard_of_mortality(A, B) = high))))),
% 0.40/0.68 inference(bind,[status(th)],[])).
% 0.40/0.68 tff(441,plain,
% 0.40/0.68 (![B: $i, A: $i] : (((((~organization(A)) | has_immunity(A, B)) | is_aligned(A, B)) | positional_advantage(A, B)) | (hazard_of_mortality(A, B) = high)) <=> ![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | positional_advantage(A, B) | (hazard_of_mortality(A, B) = high))),
% 0.40/0.68 inference(quant_intro,[status(thm)],[440])).
% 0.40/0.68 tff(442,axiom,(![B: $i, A: $i] : (((((~organization(A)) | has_immunity(A, B)) | is_aligned(A, B)) | positional_advantage(A, B)) | (hazard_of_mortality(A, B) = high))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','assumption_17_67')).
% 0.40/0.68 tff(443,plain,
% 0.40/0.68 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | positional_advantage(A, B) | (hazard_of_mortality(A, B) = high))),
% 0.40/0.68 inference(modus_ponens,[status(thm)],[442, 441])).
% 0.40/0.68 tff(444,plain,
% 0.40/0.68 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | positional_advantage(A, B) | (hazard_of_mortality(A, B) = high))),
% 0.40/0.68 inference(modus_ponens,[status(thm)],[443, 439])).
% 0.40/0.68 tff(445,plain,(
% 0.40/0.68 ![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | positional_advantage(A, B) | (hazard_of_mortality(A, B) = high))),
% 0.40/0.68 inference(skolemize,[status(sab)],[444])).
% 0.40/0.68 tff(446,plain,
% 0.40/0.68 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | positional_advantage(A, B) | (hazard_of_mortality(A, B) = high))),
% 0.40/0.68 inference(modus_ponens,[status(thm)],[445, 438])).
% 0.40/0.68 tff(447,plain,
% 0.40/0.68 (((~![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))),
% 0.40/0.68 inference(rewrite,[status(thm)],[])).
% 0.40/0.68 tff(448,plain,
% 0.40/0.68 ((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))),
% 0.40/0.68 inference(rewrite,[status(thm)],[])).
% 0.40/0.68 tff(449,plain,
% 0.40/0.68 (((~![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)))),
% 0.40/0.68 inference(monotonicity,[status(thm)],[448])).
% 0.40/0.68 tff(450,plain,
% 0.40/0.68 (((~![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))),
% 0.40/0.68 inference(transitivity,[status(thm)],[449, 447])).
% 0.40/0.68 tff(451,plain,
% 0.40/0.68 ((~![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))),
% 0.40/0.68 inference(quant_inst,[status(thm)],[])).
% 0.40/0.68 tff(452,plain,
% 0.40/0.68 ((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | positional_advantage(A, B) | (hazard_of_mortality(A, B) = high))) | (~organization(sk3)) | positional_advantage(sk3, sk5) | is_aligned(sk3, sk5) | has_immunity(sk3, sk5) | (hazard_of_mortality(sk3, sk5) = high)),
% 0.40/0.68 inference(modus_ponens,[status(thm)],[451, 450])).
% 0.40/0.68 tff(453,plain,
% 0.40/0.68 (is_aligned(sk3, sk5) | has_immunity(sk3, sk5) | (hazard_of_mortality(sk3, sk5) = high)),
% 0.40/0.68 inference(unit_resolution,[status(thm)],[452, 446, 9, 436])).
% 0.40/0.68 tff(454,plain,
% 0.40/0.68 (is_aligned(sk3, sk5)),
% 0.40/0.68 inference(unit_resolution,[status(thm)],[453, 434, 435])).
% 0.40/0.68 tff(455,plain,
% 0.40/0.68 (has_immunity(sk3, sk5) | (~is_aligned(sk3, sk5)) | (hazard_of_mortality(sk3, sk5) = mod2)),
% 0.40/0.68 inference(unit_resolution,[status(thm)],[328, 118, 9, 436])).
% 0.40/0.68 tff(456,plain,
% 0.40/0.68 ($false),
% 0.40/0.68 inference(unit_resolution,[status(thm)],[455, 454, 434, 433])).
% 0.40/0.68 tff(457,plain,(has_immunity(sk3, sk5) | (hazard_of_mortality(sk3, sk5) = mod2) | positional_advantage(sk3, sk5) | (hazard_of_mortality(sk3, sk5) = high)), inference(lemma,lemma(discharge,[]))).
% 0.40/0.68 tff(458,plain,
% 0.40/0.68 (has_immunity(sk3, sk5) | (hazard_of_mortality(sk3, sk5) = mod2) | (hazard_of_mortality(sk3, sk5) = high)),
% 0.40/0.68 inference(unit_resolution,[status(thm)],[457, 322])).
% 0.40/0.68 tff(459,plain,
% 0.40/0.68 (hazard_of_mortality(sk3, sk5) = mod2),
% 0.40/0.68 inference(unit_resolution,[status(thm)],[458, 432, 224])).
% 0.40/0.68 tff(460,assumption,(hazard_of_mortality(sk3, sk5) = mod2), introduced(assumption)).
% 0.40/0.68 tff(461,plain,
% 0.40/0.68 (smaller(hazard_of_mortality(sk3, sk7), hazard_of_mortality(sk3, sk5)) <=> smaller(mod1, mod2)),
% 0.40/0.68 inference(monotonicity,[status(thm)],[345, 460])).
% 0.40/0.68 tff(462,plain,
% 0.40/0.68 (smaller(mod1, mod2) <=> smaller(hazard_of_mortality(sk3, sk7), hazard_of_mortality(sk3, sk5))),
% 0.40/0.68 inference(symmetry,[status(thm)],[461])).
% 0.40/0.68 tff(463,plain,
% 0.40/0.68 (greater(mod2, mod1) <=> greater(mod2, mod1)),
% 0.40/0.68 inference(rewrite,[status(thm)],[])).
% 0.40/0.68 tff(464,axiom,(greater(mod2, mod1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','assumption_19_73')).
% 0.40/0.68 tff(465,plain,
% 0.40/0.68 (greater(mod2, mod1)),
% 0.40/0.68 inference(modus_ponens,[status(thm)],[464, 463])).
% 0.40/0.68 tff(466,plain,
% 0.40/0.68 (((~![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))) | ((~greater(mod2, mod1)) | smaller(mod1, mod2))) <=> ((~![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))) | (~greater(mod2, mod1)) | smaller(mod1, mod2))),
% 0.40/0.68 inference(rewrite,[status(thm)],[])).
% 0.40/0.68 tff(467,plain,
% 0.40/0.68 ((~![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))) | ((~greater(mod2, mod1)) | smaller(mod1, mod2))),
% 0.40/0.68 inference(quant_inst,[status(thm)],[])).
% 0.40/0.68 tff(468,plain,
% 0.40/0.68 ((~![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))) | (~greater(mod2, mod1)) | smaller(mod1, mod2)),
% 0.40/0.68 inference(modus_ponens,[status(thm)],[467, 466])).
% 0.40/0.68 tff(469,plain,
% 0.40/0.68 (smaller(mod1, mod2)),
% 0.40/0.68 inference(unit_resolution,[status(thm)],[468, 60, 465])).
% 0.40/0.68 tff(470,plain,
% 0.40/0.68 (smaller(hazard_of_mortality(sk3, sk7), hazard_of_mortality(sk3, sk5))),
% 0.40/0.68 inference(modus_ponens,[status(thm)],[469, 462])).
% 0.40/0.68 tff(471,plain,
% 0.40/0.68 ($false),
% 0.40/0.68 inference(unit_resolution,[status(thm)],[333, 470])).
% 0.40/0.68 tff(472,plain,((~(hazard_of_mortality(sk3, sk5) = mod2)) | smaller(hazard_of_mortality(sk3, sk7), hazard_of_mortality(sk3, sk5)) | (~(hazard_of_mortality(sk3, sk7) = mod1))), inference(lemma,lemma(discharge,[]))).
% 0.40/0.68 tff(473,plain,
% 0.40/0.68 (~(hazard_of_mortality(sk3, sk7) = mod1)),
% 0.40/0.68 inference(unit_resolution,[status(thm)],[472, 459, 333])).
% 0.40/0.68 tff(474,plain,
% 0.40/0.68 (is_aligned(sk3, sk7) | (hazard_of_mortality(sk3, sk7) = mod1)),
% 0.40/0.68 inference(unit_resolution,[status(thm)],[395, 342])).
% 0.40/0.68 tff(475,plain,
% 0.40/0.68 (is_aligned(sk3, sk7)),
% 0.40/0.68 inference(unit_resolution,[status(thm)],[474, 473])).
% 0.40/0.68 tff(476,plain,
% 0.40/0.68 (mod2 = hazard_of_mortality(sk3, sk5)),
% 0.40/0.68 inference(symmetry,[status(thm)],[460])).
% 0.40/0.68 tff(477,plain,
% 0.40/0.68 (smaller(low, mod2) <=> smaller(low, hazard_of_mortality(sk3, sk5))),
% 0.40/0.68 inference(monotonicity,[status(thm)],[476])).
% 0.40/0.68 tff(478,plain,
% 0.40/0.68 (smaller(low, hazard_of_mortality(sk3, sk5)) <=> smaller(low, mod2)),
% 0.40/0.68 inference(symmetry,[status(thm)],[477])).
% 0.40/0.68 tff(479,plain,
% 0.40/0.68 ((~smaller(low, hazard_of_mortality(sk3, sk5))) <=> (~smaller(low, mod2))),
% 0.40/0.68 inference(monotonicity,[status(thm)],[478])).
% 0.40/0.68 tff(480,assumption,(~smaller(low, hazard_of_mortality(sk3, sk5))), introduced(assumption)).
% 0.40/0.68 tff(481,plain,
% 0.40/0.68 (~smaller(low, mod2)),
% 0.40/0.68 inference(modus_ponens,[status(thm)],[480, 479])).
% 0.40/0.68 tff(482,plain,
% 0.40/0.68 (greater(mod2, low) <=> greater(mod2, low)),
% 0.40/0.68 inference(rewrite,[status(thm)],[])).
% 0.40/0.68 tff(483,axiom,(greater(mod2, low)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','assumption_18e_72')).
% 0.40/0.68 tff(484,plain,
% 0.40/0.68 (greater(mod2, low)),
% 0.40/0.68 inference(modus_ponens,[status(thm)],[483, 482])).
% 0.40/0.68 tff(485,plain,
% 0.40/0.68 (((~![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))),
% 0.40/0.68 inference(rewrite,[status(thm)],[])).
% 0.40/0.68 tff(486,plain,
% 0.40/0.68 ((~![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))) | ((~greater(mod2, low)) | smaller(low, mod2))),
% 0.40/0.68 inference(quant_inst,[status(thm)],[])).
% 0.40/0.68 tff(487,plain,
% 0.40/0.68 ((~![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))) | (~greater(mod2, low)) | smaller(low, mod2)),
% 0.40/0.68 inference(modus_ponens,[status(thm)],[486, 485])).
% 0.40/0.68 tff(488,plain,
% 0.40/0.68 (smaller(low, mod2)),
% 0.40/0.68 inference(unit_resolution,[status(thm)],[487, 60, 484])).
% 0.40/0.68 tff(489,plain,
% 0.40/0.68 ($false),
% 0.40/0.68 inference(unit_resolution,[status(thm)],[488, 481])).
% 0.40/0.68 tff(490,plain,((~(hazard_of_mortality(sk3, sk5) = mod2)) | smaller(low, hazard_of_mortality(sk3, sk5))), inference(lemma,lemma(discharge,[]))).
% 0.40/0.68 tff(491,plain,
% 0.40/0.68 (smaller(low, hazard_of_mortality(sk3, sk5))),
% 0.40/0.68 inference(unit_resolution,[status(thm)],[490, 459])).
% 0.40/0.68 tff(492,assumption,(hazard_of_mortality(sk3, sk7) = low), introduced(assumption)).
% 0.40/0.68 tff(493,plain,
% 0.40/0.68 (smaller(hazard_of_mortality(sk3, sk7), hazard_of_mortality(sk3, sk5)) <=> smaller(low, hazard_of_mortality(sk3, sk5))),
% 0.40/0.68 inference(monotonicity,[status(thm)],[492])).
% 0.40/0.68 tff(494,plain,
% 0.40/0.68 (smaller(low, hazard_of_mortality(sk3, sk5)) <=> smaller(hazard_of_mortality(sk3, sk7), hazard_of_mortality(sk3, sk5))),
% 0.40/0.68 inference(symmetry,[status(thm)],[493])).
% 0.40/0.68 tff(495,assumption,(smaller(low, hazard_of_mortality(sk3, sk5))), introduced(assumption)).
% 0.40/0.68 tff(496,plain,
% 0.40/0.68 (smaller(hazard_of_mortality(sk3, sk7), hazard_of_mortality(sk3, sk5))),
% 0.40/0.68 inference(modus_ponens,[status(thm)],[495, 494])).
% 0.40/0.68 tff(497,plain,
% 0.40/0.68 ($false),
% 0.40/0.68 inference(unit_resolution,[status(thm)],[333, 496])).
% 0.40/0.68 tff(498,plain,((~(hazard_of_mortality(sk3, sk7) = low)) | smaller(hazard_of_mortality(sk3, sk7), hazard_of_mortality(sk3, sk5)) | (~smaller(low, hazard_of_mortality(sk3, sk5)))), inference(lemma,lemma(discharge,[]))).
% 0.40/0.69 tff(499,plain,
% 0.40/0.69 (~(hazard_of_mortality(sk3, sk7) = low)),
% 0.40/0.69 inference(unit_resolution,[status(thm)],[498, 491, 333])).
% 0.40/0.69 tff(500,plain,
% 0.40/0.69 ((hazard_of_mortality(sk3, sk7) = low) | (~is_aligned(sk3, sk7))),
% 0.40/0.69 inference(unit_resolution,[status(thm)],[413, 342])).
% 0.40/0.69 tff(501,plain,
% 0.40/0.69 ($false),
% 0.40/0.69 inference(unit_resolution,[status(thm)],[500, 499, 475])).
% 0.40/0.69 tff(502,plain,(smaller(hazard_of_mortality(sk3, sk7), hazard_of_mortality(sk3, sk5))), inference(lemma,lemma(discharge,[]))).
% 0.40/0.69 tff(503,plain,
% 0.40/0.69 (((~smaller(hazard_of_mortality(sk3, sk7), hazard_of_mortality(sk3, sk5))) | (~smaller(hazard_of_mortality(sk3, sk5), hazard_of_mortality(sk3, sk6))) | (~(hazard_of_mortality(sk3, sk5) = hazard_of_mortality(sk3, sk4)))) <=> ((~smaller(hazard_of_mortality(sk3, sk7), hazard_of_mortality(sk3, sk5))) | (~smaller(hazard_of_mortality(sk3, sk5), hazard_of_mortality(sk3, sk6))) | (~(hazard_of_mortality(sk3, sk5) = hazard_of_mortality(sk3, sk4))))),
% 0.40/0.69 inference(rewrite,[status(thm)],[])).
% 0.40/0.69 tff(504,plain,
% 0.40/0.69 ((((~smaller(hazard_of_mortality(sk3, sk7), hazard_of_mortality(sk3, sk5))) | (~smaller(hazard_of_mortality(sk3, sk5), hazard_of_mortality(sk3, sk6)))) | (~(hazard_of_mortality(sk3, sk5) = hazard_of_mortality(sk3, sk4)))) <=> ((~smaller(hazard_of_mortality(sk3, sk7), hazard_of_mortality(sk3, sk5))) | (~smaller(hazard_of_mortality(sk3, sk5), hazard_of_mortality(sk3, sk6))) | (~(hazard_of_mortality(sk3, sk5) = hazard_of_mortality(sk3, sk4))))),
% 0.40/0.69 inference(rewrite,[status(thm)],[])).
% 0.40/0.69 tff(505,plain,
% 0.40/0.69 (((~smaller(hazard_of_mortality(sk3, sk7), hazard_of_mortality(sk3, sk5))) | (~smaller(hazard_of_mortality(sk3, sk5), hazard_of_mortality(sk3, sk6)))) <=> ((~smaller(hazard_of_mortality(sk3, sk7), hazard_of_mortality(sk3, sk5))) | (~smaller(hazard_of_mortality(sk3, sk5), hazard_of_mortality(sk3, sk6))))),
% 0.40/0.69 inference(rewrite,[status(thm)],[])).
% 0.40/0.69 tff(506,plain,
% 0.40/0.69 ((((~smaller(hazard_of_mortality(sk3, sk7), hazard_of_mortality(sk3, sk5))) | (~smaller(hazard_of_mortality(sk3, sk5), hazard_of_mortality(sk3, sk6)))) | (~(hazard_of_mortality(sk3, sk5) = hazard_of_mortality(sk3, sk4)))) <=> (((~smaller(hazard_of_mortality(sk3, sk7), hazard_of_mortality(sk3, sk5))) | (~smaller(hazard_of_mortality(sk3, sk5), hazard_of_mortality(sk3, sk6)))) | (~(hazard_of_mortality(sk3, sk5) = hazard_of_mortality(sk3, sk4))))),
% 0.40/0.69 inference(monotonicity,[status(thm)],[505])).
% 0.40/0.69 tff(507,plain,
% 0.40/0.69 ((((~smaller(hazard_of_mortality(sk3, sk7), hazard_of_mortality(sk3, sk5))) | (~smaller(hazard_of_mortality(sk3, sk5), hazard_of_mortality(sk3, sk6)))) | (~(hazard_of_mortality(sk3, sk5) = hazard_of_mortality(sk3, sk4)))) <=> ((~smaller(hazard_of_mortality(sk3, sk7), hazard_of_mortality(sk3, sk5))) | (~smaller(hazard_of_mortality(sk3, sk5), hazard_of_mortality(sk3, sk6))) | (~(hazard_of_mortality(sk3, sk5) = hazard_of_mortality(sk3, sk4))))),
% 0.40/0.69 inference(transitivity,[status(thm)],[506, 504])).
% 0.40/0.69 tff(508,axiom,(((~smaller(hazard_of_mortality(sk3, sk7), hazard_of_mortality(sk3, sk5))) | (~smaller(hazard_of_mortality(sk3, sk5), hazard_of_mortality(sk3, sk6)))) | (~(hazard_of_mortality(sk3, sk5) = hazard_of_mortality(sk3, sk4)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','theorem_9_85')).
% 0.40/0.69 tff(509,plain,
% 0.40/0.69 ((~smaller(hazard_of_mortality(sk3, sk7), hazard_of_mortality(sk3, sk5))) | (~smaller(hazard_of_mortality(sk3, sk5), hazard_of_mortality(sk3, sk6))) | (~(hazard_of_mortality(sk3, sk5) = hazard_of_mortality(sk3, sk4)))),
% 0.40/0.69 inference(modus_ponens,[status(thm)],[508, 507])).
% 0.40/0.69 tff(510,plain,
% 0.40/0.69 ((~smaller(hazard_of_mortality(sk3, sk7), hazard_of_mortality(sk3, sk5))) | (~smaller(hazard_of_mortality(sk3, sk5), hazard_of_mortality(sk3, sk6))) | (~(hazard_of_mortality(sk3, sk5) = hazard_of_mortality(sk3, sk4)))),
% 0.40/0.69 inference(modus_ponens,[status(thm)],[509, 503])).
% 0.40/0.69 tff(511,plain,
% 0.40/0.69 ((~smaller(hazard_of_mortality(sk3, sk7), hazard_of_mortality(sk3, sk5))) | (~smaller(hazard_of_mortality(sk3, sk5), hazard_of_mortality(sk3, sk6))) | (~(hazard_of_mortality(sk3, sk5) = hazard_of_mortality(sk3, sk4)))),
% 0.40/0.69 inference(modus_ponens,[status(thm)],[510, 503])).
% 0.40/0.69 tff(512,plain,
% 0.40/0.69 ((~smaller(hazard_of_mortality(sk3, sk7), hazard_of_mortality(sk3, sk5))) | (~smaller(hazard_of_mortality(sk3, sk5), hazard_of_mortality(sk3, sk6))) | (~(hazard_of_mortality(sk3, sk5) = hazard_of_mortality(sk3, sk4)))),
% 0.40/0.69 inference(modus_ponens,[status(thm)],[511, 503])).
% 0.40/0.69 tff(513,plain,
% 0.40/0.69 ((~smaller(hazard_of_mortality(sk3, sk7), hazard_of_mortality(sk3, sk5))) | (~smaller(hazard_of_mortality(sk3, sk5), hazard_of_mortality(sk3, sk6))) | (~(hazard_of_mortality(sk3, sk5) = hazard_of_mortality(sk3, sk4)))),
% 0.40/0.69 inference(modus_ponens,[status(thm)],[512, 503])).
% 0.40/0.69 tff(514,plain,
% 0.40/0.69 ((~smaller(hazard_of_mortality(sk3, sk5), hazard_of_mortality(sk3, sk6))) | (~(hazard_of_mortality(sk3, sk5) = hazard_of_mortality(sk3, sk4)))),
% 0.40/0.69 inference(unit_resolution,[status(thm)],[513, 502])).
% 0.40/0.69 tff(515,plain,
% 0.40/0.69 (~smaller(hazard_of_mortality(sk3, sk5), hazard_of_mortality(sk3, sk6))),
% 0.40/0.69 inference(unit_resolution,[status(thm)],[514, 332])).
% 0.40/0.69 tff(516,plain,
% 0.40/0.69 (smaller(hazard_of_mortality(sk3, sk5), high) <=> smaller(mod2, high)),
% 0.40/0.69 inference(monotonicity,[status(thm)],[331])).
% 0.40/0.69 tff(517,plain,
% 0.40/0.69 (smaller(mod2, high) <=> smaller(hazard_of_mortality(sk3, sk5), high)),
% 0.40/0.69 inference(symmetry,[status(thm)],[516])).
% 0.40/0.69 tff(518,plain,
% 0.40/0.69 (greater(high, mod2) <=> greater(high, mod2)),
% 0.40/0.69 inference(rewrite,[status(thm)],[])).
% 0.40/0.69 tff(519,axiom,(greater(high, mod2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','assumption_18d_71')).
% 0.40/0.69 tff(520,plain,
% 0.40/0.69 (greater(high, mod2)),
% 0.40/0.69 inference(modus_ponens,[status(thm)],[519, 518])).
% 0.40/0.69 tff(521,plain,
% 0.40/0.69 (((~![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))) | ((~greater(high, mod2)) | smaller(mod2, high))) <=> ((~![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))) | (~greater(high, mod2)) | smaller(mod2, high))),
% 0.40/0.69 inference(rewrite,[status(thm)],[])).
% 0.40/0.69 tff(522,plain,
% 0.40/0.69 ((~![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))) | ((~greater(high, mod2)) | smaller(mod2, high))),
% 0.40/0.69 inference(quant_inst,[status(thm)],[])).
% 0.40/0.69 tff(523,plain,
% 0.40/0.69 ((~![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))) | (~greater(high, mod2)) | smaller(mod2, high)),
% 0.40/0.69 inference(modus_ponens,[status(thm)],[522, 521])).
% 0.40/0.69 tff(524,plain,
% 0.40/0.69 (smaller(mod2, high)),
% 0.40/0.69 inference(unit_resolution,[status(thm)],[523, 60, 520])).
% 0.40/0.69 tff(525,plain,
% 0.40/0.69 (smaller(hazard_of_mortality(sk3, sk5), high)),
% 0.40/0.69 inference(modus_ponens,[status(thm)],[524, 517])).
% 0.40/0.69 tff(526,assumption,(hazard_of_mortality(sk3, sk6) = high), introduced(assumption)).
% 0.40/0.69 tff(527,plain,
% 0.40/0.69 (smaller(hazard_of_mortality(sk3, sk5), hazard_of_mortality(sk3, sk6)) <=> smaller(hazard_of_mortality(sk3, sk5), high)),
% 0.40/0.69 inference(monotonicity,[status(thm)],[526])).
% 0.40/0.69 tff(528,plain,
% 0.40/0.69 (smaller(hazard_of_mortality(sk3, sk5), high) <=> smaller(hazard_of_mortality(sk3, sk5), hazard_of_mortality(sk3, sk6))),
% 0.40/0.69 inference(symmetry,[status(thm)],[527])).
% 0.40/0.69 tff(529,assumption,(smaller(hazard_of_mortality(sk3, sk5), high)), introduced(assumption)).
% 0.40/0.69 tff(530,plain,
% 0.40/0.69 (smaller(hazard_of_mortality(sk3, sk5), hazard_of_mortality(sk3, sk6))),
% 0.40/0.69 inference(modus_ponens,[status(thm)],[529, 528])).
% 0.40/0.69 tff(531,assumption,(~smaller(hazard_of_mortality(sk3, sk5), hazard_of_mortality(sk3, sk6))), introduced(assumption)).
% 0.40/0.69 tff(532,plain,
% 0.40/0.69 ($false),
% 0.40/0.69 inference(unit_resolution,[status(thm)],[531, 530])).
% 0.40/0.69 tff(533,plain,((~(hazard_of_mortality(sk3, sk6) = high)) | smaller(hazard_of_mortality(sk3, sk5), hazard_of_mortality(sk3, sk6)) | (~smaller(hazard_of_mortality(sk3, sk5), high))), inference(lemma,lemma(discharge,[]))).
% 0.40/0.69 tff(534,plain,
% 0.40/0.69 (~(hazard_of_mortality(sk3, sk6) = high)),
% 0.40/0.69 inference(unit_resolution,[status(thm)],[533, 525, 515])).
% 0.40/0.69 tff(535,assumption,(has_immunity(sk3, sk6)), introduced(assumption)).
% 0.40/0.69 tff(536,plain,
% 0.40/0.69 (((~![B: $i, A: $i] : (has_endowment(A) | (~has_immunity(A, B)) | (~organization(A)))) | (has_endowment(sk3) | (~organization(sk3)) | (~has_immunity(sk3, sk6)))) <=> ((~![B: $i, A: $i] : (has_endowment(A) | (~has_immunity(A, B)) | (~organization(A)))) | has_endowment(sk3) | (~organization(sk3)) | (~has_immunity(sk3, sk6)))),
% 0.40/0.69 inference(rewrite,[status(thm)],[])).
% 0.40/0.69 tff(537,plain,
% 0.40/0.69 ((has_endowment(sk3) | (~has_immunity(sk3, sk6)) | (~organization(sk3))) <=> (has_endowment(sk3) | (~organization(sk3)) | (~has_immunity(sk3, sk6)))),
% 0.40/0.69 inference(rewrite,[status(thm)],[])).
% 0.40/0.69 tff(538,plain,
% 0.40/0.69 (((~![B: $i, A: $i] : (has_endowment(A) | (~has_immunity(A, B)) | (~organization(A)))) | (has_endowment(sk3) | (~has_immunity(sk3, sk6)) | (~organization(sk3)))) <=> ((~![B: $i, A: $i] : (has_endowment(A) | (~has_immunity(A, B)) | (~organization(A)))) | (has_endowment(sk3) | (~organization(sk3)) | (~has_immunity(sk3, sk6))))),
% 0.40/0.69 inference(monotonicity,[status(thm)],[537])).
% 0.40/0.69 tff(539,plain,
% 0.40/0.69 (((~![B: $i, A: $i] : (has_endowment(A) | (~has_immunity(A, B)) | (~organization(A)))) | (has_endowment(sk3) | (~has_immunity(sk3, sk6)) | (~organization(sk3)))) <=> ((~![B: $i, A: $i] : (has_endowment(A) | (~has_immunity(A, B)) | (~organization(A)))) | has_endowment(sk3) | (~organization(sk3)) | (~has_immunity(sk3, sk6)))),
% 0.40/0.69 inference(transitivity,[status(thm)],[538, 536])).
% 0.40/0.69 tff(540,plain,
% 0.40/0.69 ((~![B: $i, A: $i] : (has_endowment(A) | (~has_immunity(A, B)) | (~organization(A)))) | (has_endowment(sk3) | (~has_immunity(sk3, sk6)) | (~organization(sk3)))),
% 0.40/0.69 inference(quant_inst,[status(thm)],[])).
% 0.40/0.69 tff(541,plain,
% 0.40/0.69 ((~![B: $i, A: $i] : (has_endowment(A) | (~has_immunity(A, B)) | (~organization(A)))) | has_endowment(sk3) | (~organization(sk3)) | (~has_immunity(sk3, sk6))),
% 0.40/0.69 inference(modus_ponens,[status(thm)],[540, 539])).
% 0.40/0.69 tff(542,plain,
% 0.40/0.69 ($false),
% 0.40/0.69 inference(unit_resolution,[status(thm)],[541, 40, 9, 30, 535])).
% 0.40/0.69 tff(543,plain,(~has_immunity(sk3, sk6)), inference(lemma,lemma(discharge,[]))).
% 0.40/0.69 tff(544,plain,
% 0.40/0.69 (smaller_or_equal(age(sk3, sk6), tau) <=> smaller_or_equal(age(sk3, sk6), tau)),
% 0.40/0.69 inference(rewrite,[status(thm)],[])).
% 0.40/0.69 tff(545,axiom,(smaller_or_equal(age(sk3, sk6), tau)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','theorem_9_83')).
% 0.40/0.69 tff(546,plain,
% 0.40/0.69 (smaller_or_equal(age(sk3, sk6), tau)),
% 0.40/0.69 inference(modus_ponens,[status(thm)],[545, 544])).
% 0.40/0.69 tff(547,plain,
% 0.40/0.69 (((~![B: $i, A: $i] : ((~positional_advantage(A, B)) | (~smaller_or_equal(age(A, B), tau)) | (~robust_position(A)))) | ((~smaller_or_equal(age(sk3, sk6), tau)) | (~robust_position(sk3)) | (~positional_advantage(sk3, sk6)))) <=> ((~![B: $i, A: $i] : ((~positional_advantage(A, B)) | (~smaller_or_equal(age(A, B), tau)) | (~robust_position(A)))) | (~smaller_or_equal(age(sk3, sk6), tau)) | (~robust_position(sk3)) | (~positional_advantage(sk3, sk6)))),
% 0.40/0.69 inference(rewrite,[status(thm)],[])).
% 0.40/0.69 tff(548,plain,
% 0.40/0.69 (((~positional_advantage(sk3, sk6)) | (~smaller_or_equal(age(sk3, sk6), tau)) | (~robust_position(sk3))) <=> ((~smaller_or_equal(age(sk3, sk6), tau)) | (~robust_position(sk3)) | (~positional_advantage(sk3, sk6)))),
% 0.40/0.69 inference(rewrite,[status(thm)],[])).
% 0.40/0.69 tff(549,plain,
% 0.40/0.69 (((~![B: $i, A: $i] : ((~positional_advantage(A, B)) | (~smaller_or_equal(age(A, B), tau)) | (~robust_position(A)))) | ((~positional_advantage(sk3, sk6)) | (~smaller_or_equal(age(sk3, sk6), 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, sk6), tau)) | (~robust_position(sk3)) | (~positional_advantage(sk3, sk6))))),
% 0.40/0.69 inference(monotonicity,[status(thm)],[548])).
% 0.40/0.69 tff(550,plain,
% 0.40/0.69 (((~![B: $i, A: $i] : ((~positional_advantage(A, B)) | (~smaller_or_equal(age(A, B), tau)) | (~robust_position(A)))) | ((~positional_advantage(sk3, sk6)) | (~smaller_or_equal(age(sk3, sk6), 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, sk6), tau)) | (~robust_position(sk3)) | (~positional_advantage(sk3, sk6)))),
% 0.40/0.69 inference(transitivity,[status(thm)],[549, 547])).
% 0.40/0.69 tff(551,plain,
% 0.40/0.69 ((~![B: $i, A: $i] : ((~positional_advantage(A, B)) | (~smaller_or_equal(age(A, B), tau)) | (~robust_position(A)))) | ((~positional_advantage(sk3, sk6)) | (~smaller_or_equal(age(sk3, sk6), tau)) | (~robust_position(sk3)))),
% 0.40/0.69 inference(quant_inst,[status(thm)],[])).
% 0.40/0.69 tff(552,plain,
% 0.40/0.69 ((~![B: $i, A: $i] : ((~positional_advantage(A, B)) | (~smaller_or_equal(age(A, B), tau)) | (~robust_position(A)))) | (~smaller_or_equal(age(sk3, sk6), tau)) | (~robust_position(sk3)) | (~positional_advantage(sk3, sk6))),
% 0.40/0.69 inference(modus_ponens,[status(thm)],[551, 550])).
% 0.40/0.69 tff(553,plain,
% 0.40/0.69 (~positional_advantage(sk3, sk6)),
% 0.40/0.69 inference(unit_resolution,[status(thm)],[552, 89, 79, 546])).
% 0.40/0.69 tff(554,plain,
% 0.40/0.69 (((~![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, sk6) | is_aligned(sk3, sk6) | has_immunity(sk3, sk6) | (hazard_of_mortality(sk3, sk6) = 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, sk6) | is_aligned(sk3, sk6) | has_immunity(sk3, sk6) | (hazard_of_mortality(sk3, sk6) = high))),
% 0.40/0.69 inference(rewrite,[status(thm)],[])).
% 0.40/0.69 tff(555,plain,
% 0.40/0.69 ((has_immunity(sk3, sk6) | (~organization(sk3)) | is_aligned(sk3, sk6) | positional_advantage(sk3, sk6) | (hazard_of_mortality(sk3, sk6) = high)) <=> ((~organization(sk3)) | positional_advantage(sk3, sk6) | is_aligned(sk3, sk6) | has_immunity(sk3, sk6) | (hazard_of_mortality(sk3, sk6) = high))),
% 0.40/0.69 inference(rewrite,[status(thm)],[])).
% 0.40/0.69 tff(556,plain,
% 0.40/0.69 (((~![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, sk6) | (~organization(sk3)) | is_aligned(sk3, sk6) | positional_advantage(sk3, sk6) | (hazard_of_mortality(sk3, sk6) = 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, sk6) | is_aligned(sk3, sk6) | has_immunity(sk3, sk6) | (hazard_of_mortality(sk3, sk6) = high)))),
% 0.40/0.69 inference(monotonicity,[status(thm)],[555])).
% 0.40/0.69 tff(557,plain,
% 0.40/0.69 (((~![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, sk6) | (~organization(sk3)) | is_aligned(sk3, sk6) | positional_advantage(sk3, sk6) | (hazard_of_mortality(sk3, sk6) = 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, sk6) | is_aligned(sk3, sk6) | has_immunity(sk3, sk6) | (hazard_of_mortality(sk3, sk6) = high))),
% 0.40/0.69 inference(transitivity,[status(thm)],[556, 554])).
% 0.40/0.69 tff(558,plain,
% 0.40/0.69 ((~![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, sk6) | (~organization(sk3)) | is_aligned(sk3, sk6) | positional_advantage(sk3, sk6) | (hazard_of_mortality(sk3, sk6) = high))),
% 0.40/0.69 inference(quant_inst,[status(thm)],[])).
% 0.40/0.69 tff(559,plain,
% 0.40/0.69 ((~![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, sk6) | is_aligned(sk3, sk6) | has_immunity(sk3, sk6) | (hazard_of_mortality(sk3, sk6) = high)),
% 0.40/0.69 inference(modus_ponens,[status(thm)],[558, 557])).
% 0.40/0.69 tff(560,plain,
% 0.40/0.69 (is_aligned(sk3, sk6) | has_immunity(sk3, sk6) | (hazard_of_mortality(sk3, sk6) = high)),
% 0.40/0.69 inference(unit_resolution,[status(thm)],[559, 446, 9, 553])).
% 0.40/0.69 tff(561,plain,
% 0.40/0.69 (is_aligned(sk3, sk6) | (hazard_of_mortality(sk3, sk6) = high)),
% 0.40/0.69 inference(unit_resolution,[status(thm)],[560, 543])).
% 0.40/0.69 tff(562,plain,
% 0.40/0.69 (is_aligned(sk3, sk6)),
% 0.40/0.69 inference(unit_resolution,[status(thm)],[561, 534])).
% 0.40/0.69 tff(563,plain,
% 0.40/0.69 (^[B: $i, A: $i, C: $i] : refl(((~dissimilar(A, B, C)) | (~is_aligned(A, C)) | (~is_aligned(A, B))) <=> ((~dissimilar(A, B, C)) | (~is_aligned(A, C)) | (~is_aligned(A, B))))),
% 0.40/0.70 inference(bind,[status(th)],[])).
% 0.40/0.70 tff(564,plain,
% 0.40/0.70 (![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~is_aligned(A, C)) | (~is_aligned(A, B))) <=> ![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~is_aligned(A, C)) | (~is_aligned(A, B)))),
% 0.40/0.70 inference(quant_intro,[status(thm)],[563])).
% 0.40/0.70 tff(565,plain,
% 0.40/0.70 (![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~is_aligned(A, C)) | (~is_aligned(A, B))) <=> ![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~is_aligned(A, C)) | (~is_aligned(A, B)))),
% 0.40/0.70 inference(rewrite,[status(thm)],[])).
% 0.40/0.70 tff(566,plain,
% 0.40/0.70 (^[B: $i, A: $i, C: $i] : trans(monotonicity(rewrite(((~dissimilar(A, B, C)) | (~is_aligned(A, B))) <=> ((~dissimilar(A, B, C)) | (~is_aligned(A, B)))), ((((~dissimilar(A, B, C)) | (~is_aligned(A, B))) | (~is_aligned(A, C))) <=> (((~dissimilar(A, B, C)) | (~is_aligned(A, B))) | (~is_aligned(A, C))))), rewrite((((~dissimilar(A, B, C)) | (~is_aligned(A, B))) | (~is_aligned(A, C))) <=> ((~dissimilar(A, B, C)) | (~is_aligned(A, C)) | (~is_aligned(A, B)))), ((((~dissimilar(A, B, C)) | (~is_aligned(A, B))) | (~is_aligned(A, C))) <=> ((~dissimilar(A, B, C)) | (~is_aligned(A, C)) | (~is_aligned(A, B)))))),
% 0.40/0.70 inference(bind,[status(th)],[])).
% 0.40/0.70 tff(567,plain,
% 0.40/0.70 (![B: $i, A: $i, C: $i] : (((~dissimilar(A, B, C)) | (~is_aligned(A, B))) | (~is_aligned(A, C))) <=> ![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~is_aligned(A, C)) | (~is_aligned(A, B)))),
% 0.40/0.70 inference(quant_intro,[status(thm)],[566])).
% 0.40/0.70 tff(568,axiom,(![B: $i, A: $i, C: $i] : (((~dissimilar(A, B, C)) | (~is_aligned(A, B))) | (~is_aligned(A, C)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','definition_2_49')).
% 0.40/0.70 tff(569,plain,
% 0.40/0.70 (![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~is_aligned(A, C)) | (~is_aligned(A, B)))),
% 0.40/0.70 inference(modus_ponens,[status(thm)],[568, 567])).
% 0.40/0.70 tff(570,plain,
% 0.40/0.70 (![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~is_aligned(A, C)) | (~is_aligned(A, B)))),
% 0.40/0.70 inference(modus_ponens,[status(thm)],[569, 565])).
% 0.40/0.70 tff(571,plain,(
% 0.40/0.70 ![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~is_aligned(A, C)) | (~is_aligned(A, B)))),
% 0.40/0.70 inference(skolemize,[status(sab)],[570])).
% 0.40/0.70 tff(572,plain,
% 0.40/0.70 (![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~is_aligned(A, C)) | (~is_aligned(A, B)))),
% 0.40/0.70 inference(modus_ponens,[status(thm)],[571, 564])).
% 0.40/0.70 tff(573,plain,
% 0.40/0.70 (((~![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, sk6)) | (~dissimilar(sk3, sk4, sk6)))) <=> ((~![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, sk6)) | (~dissimilar(sk3, sk4, sk6)))),
% 0.40/0.70 inference(rewrite,[status(thm)],[])).
% 0.40/0.70 tff(574,plain,
% 0.40/0.70 (((~dissimilar(sk3, sk4, sk6)) | (~is_aligned(sk3, sk6)) | (~is_aligned(sk3, sk4))) <=> ((~is_aligned(sk3, sk4)) | (~is_aligned(sk3, sk6)) | (~dissimilar(sk3, sk4, sk6)))),
% 0.40/0.70 inference(rewrite,[status(thm)],[])).
% 0.40/0.70 tff(575,plain,
% 0.40/0.70 (((~![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~is_aligned(A, C)) | (~is_aligned(A, B)))) | ((~dissimilar(sk3, sk4, sk6)) | (~is_aligned(sk3, sk6)) | (~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, sk6)) | (~dissimilar(sk3, sk4, sk6))))),
% 0.40/0.70 inference(monotonicity,[status(thm)],[574])).
% 0.40/0.70 tff(576,plain,
% 0.40/0.70 (((~![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~is_aligned(A, C)) | (~is_aligned(A, B)))) | ((~dissimilar(sk3, sk4, sk6)) | (~is_aligned(sk3, sk6)) | (~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, sk6)) | (~dissimilar(sk3, sk4, sk6)))),
% 0.40/0.70 inference(transitivity,[status(thm)],[575, 573])).
% 0.40/0.70 tff(577,plain,
% 0.40/0.70 ((~![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~is_aligned(A, C)) | (~is_aligned(A, B)))) | ((~dissimilar(sk3, sk4, sk6)) | (~is_aligned(sk3, sk6)) | (~is_aligned(sk3, sk4)))),
% 0.47/0.70 inference(quant_inst,[status(thm)],[])).
% 0.47/0.70 tff(578,plain,
% 0.47/0.70 ((~![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~is_aligned(A, C)) | (~is_aligned(A, B)))) | (~is_aligned(sk3, sk4)) | (~is_aligned(sk3, sk6)) | (~dissimilar(sk3, sk4, sk6))),
% 0.47/0.70 inference(modus_ponens,[status(thm)],[577, 576])).
% 0.47/0.70 tff(579,plain,
% 0.47/0.70 ($false),
% 0.47/0.70 inference(unit_resolution,[status(thm)],[578, 572, 108, 562, 26])).
% 0.47/0.70 % SZS output end Proof
% 0.47/0.70 % E exiting
%------------------------------------------------------------------------------