TSTP Solution File: MGT064-1 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : MGT064-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n028.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 18 05:22:20 EDT 2022
% Result : Unsatisfiable 0.21s 0.55s
% Output : Proof 0.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : MGT064-1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.14 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.14/0.35 % Computer : n028.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri Sep 2 03:06:52 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.14/0.36 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.14/0.36 Usage: tptp [options] [-file:]file
% 0.14/0.36 -h, -? prints this message.
% 0.14/0.36 -smt2 print SMT-LIB2 benchmark.
% 0.14/0.36 -m, -model generate model.
% 0.14/0.36 -p, -proof generate proof.
% 0.14/0.36 -c, -core generate unsat core of named formulas.
% 0.14/0.36 -st, -statistics display statistics.
% 0.14/0.36 -t:timeout set timeout (in second).
% 0.14/0.36 -smt2status display status in smt2 format instead of SZS.
% 0.14/0.36 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.14/0.36 -<param>:<value> configuration parameter and value.
% 0.14/0.36 -o:<output-file> file to place output in.
% 0.21/0.55 % SZS status Unsatisfiable
% 0.21/0.55 % SZS output start Proof
% 0.21/0.55 tff(very_low_type, type, (
% 0.21/0.55 very_low: $i)).
% 0.21/0.55 tff(hazard_of_mortality_type, type, (
% 0.21/0.55 hazard_of_mortality: ( $i * $i ) > $i)).
% 0.21/0.55 tff(sk6_type, type, (
% 0.21/0.55 sk6: $i)).
% 0.21/0.55 tff(sk3_type, type, (
% 0.21/0.55 sk3: $i)).
% 0.21/0.55 tff(mod1_type, type, (
% 0.21/0.55 mod1: $i)).
% 0.21/0.55 tff(sk7_type, type, (
% 0.21/0.55 sk7: $i)).
% 0.21/0.55 tff(has_immunity_type, type, (
% 0.21/0.55 has_immunity: ( $i * $i ) > $o)).
% 0.21/0.55 tff(has_endowment_type, type, (
% 0.21/0.55 has_endowment: $i > $o)).
% 0.21/0.55 tff(organization_type, type, (
% 0.21/0.55 organization: $i > $o)).
% 0.21/0.55 tff(is_aligned_type, type, (
% 0.21/0.55 is_aligned: ( $i * $i ) > $o)).
% 0.21/0.55 tff(dissimilar_type, type, (
% 0.21/0.55 dissimilar: ( $i * $i * $i ) > $o)).
% 0.21/0.55 tff(sk4_type, type, (
% 0.21/0.55 sk4: $i)).
% 0.21/0.55 tff(greater_type, type, (
% 0.21/0.55 greater: ( $i * $i ) > $o)).
% 0.21/0.55 tff(sigma_type, type, (
% 0.21/0.55 sigma: $i)).
% 0.21/0.55 tff(age_type, type, (
% 0.21/0.55 age: ( $i * $i ) > $i)).
% 0.21/0.55 tff(zero_type, type, (
% 0.21/0.55 zero: $i)).
% 0.21/0.55 tff(positional_advantage_type, type, (
% 0.21/0.55 positional_advantage: ( $i * $i ) > $o)).
% 0.21/0.55 tff(tau_type, type, (
% 0.21/0.55 tau: $i)).
% 0.21/0.55 tff(robust_position_type, type, (
% 0.21/0.55 robust_position: $i > $o)).
% 0.21/0.55 tff(smaller_type, type, (
% 0.21/0.55 smaller: ( $i * $i ) > $o)).
% 0.21/0.55 tff(low_type, type, (
% 0.21/0.55 low: $i)).
% 0.21/0.55 tff(sk5_type, type, (
% 0.21/0.55 sk5: $i)).
% 0.21/0.55 tff(mod2_type, type, (
% 0.21/0.55 mod2: $i)).
% 0.21/0.55 tff(smaller_or_equal_type, type, (
% 0.21/0.55 smaller_or_equal: ( $i * $i ) > $o)).
% 0.21/0.55 tff(high_type, type, (
% 0.21/0.55 high: $i)).
% 0.21/0.55 tff(1,assumption,(has_immunity(sk3, sk7)), introduced(assumption)).
% 0.21/0.55 tff(2,plain,
% 0.21/0.55 ((~has_endowment(sk3)) <=> (~has_endowment(sk3))),
% 0.21/0.55 inference(rewrite,[status(thm)],[])).
% 0.21/0.55 tff(3,axiom,(~has_endowment(sk3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','theorem_10_76')).
% 0.21/0.55 tff(4,plain,
% 0.21/0.55 (~has_endowment(sk3)),
% 0.21/0.55 inference(modus_ponens,[status(thm)],[3, 2])).
% 0.21/0.55 tff(5,plain,
% 0.21/0.55 (organization(sk3) <=> organization(sk3)),
% 0.21/0.55 inference(rewrite,[status(thm)],[])).
% 0.21/0.55 tff(6,axiom,(organization(sk3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','theorem_10_74')).
% 0.21/0.55 tff(7,plain,
% 0.21/0.55 (organization(sk3)),
% 0.21/0.55 inference(modus_ponens,[status(thm)],[6, 5])).
% 0.21/0.55 tff(8,plain,
% 0.21/0.55 (^[B: $i, A: $i] : refl((has_endowment(A) | (~has_immunity(A, B)) | (~organization(A))) <=> (has_endowment(A) | (~has_immunity(A, B)) | (~organization(A))))),
% 0.21/0.55 inference(bind,[status(th)],[])).
% 0.21/0.55 tff(9,plain,
% 0.21/0.55 (![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)))),
% 0.21/0.55 inference(quant_intro,[status(thm)],[8])).
% 0.21/0.55 tff(10,plain,
% 0.21/0.55 (![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)))),
% 0.21/0.55 inference(rewrite,[status(thm)],[])).
% 0.21/0.55 tff(11,plain,
% 0.21/0.55 (^[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)))))),
% 0.21/0.55 inference(bind,[status(th)],[])).
% 0.21/0.55 tff(12,plain,
% 0.21/0.55 (![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)))),
% 0.21/0.55 inference(quant_intro,[status(thm)],[11])).
% 0.21/0.55 tff(13,axiom,(![B: $i, A: $i] : (((~organization(A)) | has_endowment(A)) | (~has_immunity(A, B)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','assumption_1_46')).
% 0.21/0.55 tff(14,plain,
% 0.21/0.55 (![B: $i, A: $i] : (has_endowment(A) | (~has_immunity(A, B)) | (~organization(A)))),
% 0.21/0.55 inference(modus_ponens,[status(thm)],[13, 12])).
% 0.21/0.55 tff(15,plain,
% 0.21/0.55 (![B: $i, A: $i] : (has_endowment(A) | (~has_immunity(A, B)) | (~organization(A)))),
% 0.21/0.55 inference(modus_ponens,[status(thm)],[14, 10])).
% 0.21/0.55 tff(16,plain,(
% 0.21/0.55 ![B: $i, A: $i] : (has_endowment(A) | (~has_immunity(A, B)) | (~organization(A)))),
% 0.21/0.55 inference(skolemize,[status(sab)],[15])).
% 0.21/0.55 tff(17,plain,
% 0.21/0.55 (![B: $i, A: $i] : (has_endowment(A) | (~has_immunity(A, B)) | (~organization(A)))),
% 0.21/0.55 inference(modus_ponens,[status(thm)],[16, 9])).
% 0.21/0.55 tff(18,plain,
% 0.21/0.55 (((~![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)))),
% 0.21/0.55 inference(rewrite,[status(thm)],[])).
% 0.21/0.55 tff(19,plain,
% 0.21/0.55 ((has_endowment(sk3) | (~has_immunity(sk3, sk7)) | (~organization(sk3))) <=> (has_endowment(sk3) | (~organization(sk3)) | (~has_immunity(sk3, sk7)))),
% 0.21/0.55 inference(rewrite,[status(thm)],[])).
% 0.21/0.55 tff(20,plain,
% 0.21/0.55 (((~![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))))),
% 0.21/0.55 inference(monotonicity,[status(thm)],[19])).
% 0.21/0.55 tff(21,plain,
% 0.21/0.55 (((~![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)))),
% 0.21/0.55 inference(transitivity,[status(thm)],[20, 18])).
% 0.21/0.55 tff(22,plain,
% 0.21/0.55 ((~![B: $i, A: $i] : (has_endowment(A) | (~has_immunity(A, B)) | (~organization(A)))) | (has_endowment(sk3) | (~has_immunity(sk3, sk7)) | (~organization(sk3)))),
% 0.21/0.55 inference(quant_inst,[status(thm)],[])).
% 0.21/0.55 tff(23,plain,
% 0.21/0.55 ((~![B: $i, A: $i] : (has_endowment(A) | (~has_immunity(A, B)) | (~organization(A)))) | has_endowment(sk3) | (~organization(sk3)) | (~has_immunity(sk3, sk7))),
% 0.21/0.55 inference(modus_ponens,[status(thm)],[22, 21])).
% 0.21/0.55 tff(24,plain,
% 0.21/0.55 ($false),
% 0.21/0.55 inference(unit_resolution,[status(thm)],[23, 17, 7, 4, 1])).
% 0.21/0.55 tff(25,plain,(~has_immunity(sk3, sk7)), inference(lemma,lemma(discharge,[]))).
% 0.21/0.55 tff(26,plain,
% 0.21/0.55 (greater(age(sk3, sk7), sigma) <=> greater(age(sk3, sk7), sigma)),
% 0.21/0.55 inference(rewrite,[status(thm)],[])).
% 0.21/0.55 tff(27,axiom,(greater(age(sk3, sk7), sigma)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','theorem_10_84')).
% 0.21/0.55 tff(28,plain,
% 0.21/0.55 (greater(age(sk3, sk7), sigma)),
% 0.21/0.55 inference(modus_ponens,[status(thm)],[27, 26])).
% 0.21/0.55 tff(29,plain,
% 0.21/0.55 (^[B: $i, A: $i, C: $i] : refl((dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = age(sk3, sk4)))) <=> (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = age(sk3, sk4)))))),
% 0.21/0.55 inference(bind,[status(th)],[])).
% 0.21/0.55 tff(30,plain,
% 0.21/0.55 (![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = age(sk3, sk4)))) <=> ![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = age(sk3, sk4))))),
% 0.21/0.55 inference(quant_intro,[status(thm)],[29])).
% 0.21/0.55 tff(31,plain,
% 0.21/0.55 (^[B: $i, A: $i, C: $i] : trans(monotonicity(rewrite((~(age(A, B) = zero)) <=> (~(age(A, B) = age(sk3, sk4)))), ((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) = age(sk3, sk4)))))), rewrite((dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = age(sk3, sk4)))) <=> (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = age(sk3, sk4))))), ((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) = age(sk3, sk4))))))),
% 0.21/0.55 inference(bind,[status(th)],[])).
% 0.21/0.55 tff(32,plain,
% 0.21/0.55 (![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) = age(sk3, sk4))))),
% 0.21/0.55 inference(quant_intro,[status(thm)],[31])).
% 0.21/0.55 tff(33,plain,
% 0.21/0.55 (![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)))),
% 0.21/0.55 inference(rewrite,[status(thm)],[])).
% 0.21/0.55 tff(34,plain,
% 0.21/0.55 (^[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)))))),
% 0.21/0.55 inference(bind,[status(th)],[])).
% 0.21/0.55 tff(35,plain,
% 0.21/0.55 (![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)))),
% 0.21/0.55 inference(quant_intro,[status(thm)],[34])).
% 0.21/0.55 tff(36,axiom,(![B: $i, A: $i, C: $i] : ((((~organization(A)) | (~(age(A, B) = zero))) | (~greater(age(A, C), sigma))) | dissimilar(A, B, C))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','assumption_15_55')).
% 0.21/0.55 tff(37,plain,
% 0.21/0.55 (![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = zero)))),
% 0.21/0.55 inference(modus_ponens,[status(thm)],[36, 35])).
% 0.21/0.55 tff(38,plain,
% 0.21/0.55 (![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = zero)))),
% 0.21/0.55 inference(modus_ponens,[status(thm)],[37, 33])).
% 0.21/0.55 tff(39,plain,
% 0.21/0.55 (![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = age(sk3, sk4))))),
% 0.21/0.55 inference(modus_ponens,[status(thm)],[38, 32])).
% 0.21/0.55 tff(40,plain,(
% 0.21/0.55 ![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = age(sk3, sk4))))),
% 0.21/0.55 inference(skolemize,[status(sab)],[39])).
% 0.21/0.55 tff(41,plain,
% 0.21/0.55 (![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = age(sk3, sk4))))),
% 0.21/0.55 inference(modus_ponens,[status(thm)],[40, 30])).
% 0.21/0.55 tff(42,plain,
% 0.21/0.55 (((~![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = age(sk3, sk4))))) | ((~greater(age(sk3, sk7), sigma)) | (~organization(sk3)) | dissimilar(sk3, sk4, sk7))) <=> ((~![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = age(sk3, sk4))))) | (~greater(age(sk3, sk7), sigma)) | (~organization(sk3)) | dissimilar(sk3, sk4, sk7))),
% 0.21/0.55 inference(rewrite,[status(thm)],[])).
% 0.21/0.55 tff(43,plain,
% 0.21/0.55 ((dissimilar(sk3, sk4, sk7) | (~organization(sk3)) | (~greater(age(sk3, sk7), sigma)) | $false) <=> ((~greater(age(sk3, sk7), sigma)) | (~organization(sk3)) | dissimilar(sk3, sk4, sk7))),
% 0.21/0.55 inference(rewrite,[status(thm)],[])).
% 0.21/0.55 tff(44,plain,
% 0.21/0.55 ((~$true) <=> $false),
% 0.21/0.55 inference(rewrite,[status(thm)],[])).
% 0.21/0.55 tff(45,plain,
% 0.21/0.55 ((age(sk3, sk4) = age(sk3, sk4)) <=> $true),
% 0.21/0.55 inference(rewrite,[status(thm)],[])).
% 0.21/0.55 tff(46,plain,
% 0.21/0.55 ((~(age(sk3, sk4) = age(sk3, sk4))) <=> (~$true)),
% 0.21/0.55 inference(monotonicity,[status(thm)],[45])).
% 0.21/0.55 tff(47,plain,
% 0.21/0.55 ((~(age(sk3, sk4) = age(sk3, sk4))) <=> $false),
% 0.21/0.55 inference(transitivity,[status(thm)],[46, 44])).
% 0.21/0.55 tff(48,plain,
% 0.21/0.55 ((dissimilar(sk3, sk4, sk7) | (~organization(sk3)) | (~greater(age(sk3, sk7), sigma)) | (~(age(sk3, sk4) = age(sk3, sk4)))) <=> (dissimilar(sk3, sk4, sk7) | (~organization(sk3)) | (~greater(age(sk3, sk7), sigma)) | $false)),
% 0.21/0.55 inference(monotonicity,[status(thm)],[47])).
% 0.21/0.55 tff(49,plain,
% 0.21/0.55 ((dissimilar(sk3, sk4, sk7) | (~organization(sk3)) | (~greater(age(sk3, sk7), sigma)) | (~(age(sk3, sk4) = age(sk3, sk4)))) <=> ((~greater(age(sk3, sk7), sigma)) | (~organization(sk3)) | dissimilar(sk3, sk4, sk7))),
% 0.21/0.55 inference(transitivity,[status(thm)],[48, 43])).
% 0.21/0.55 tff(50,plain,
% 0.21/0.55 (((~![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = age(sk3, sk4))))) | (dissimilar(sk3, sk4, sk7) | (~organization(sk3)) | (~greater(age(sk3, sk7), sigma)) | (~(age(sk3, sk4) = age(sk3, sk4))))) <=> ((~![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = age(sk3, sk4))))) | ((~greater(age(sk3, sk7), sigma)) | (~organization(sk3)) | dissimilar(sk3, sk4, sk7)))),
% 0.21/0.55 inference(monotonicity,[status(thm)],[49])).
% 0.21/0.55 tff(51,plain,
% 0.21/0.55 (((~![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = age(sk3, sk4))))) | (dissimilar(sk3, sk4, sk7) | (~organization(sk3)) | (~greater(age(sk3, sk7), sigma)) | (~(age(sk3, sk4) = age(sk3, sk4))))) <=> ((~![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = age(sk3, sk4))))) | (~greater(age(sk3, sk7), sigma)) | (~organization(sk3)) | dissimilar(sk3, sk4, sk7))),
% 0.21/0.55 inference(transitivity,[status(thm)],[50, 42])).
% 0.21/0.55 tff(52,plain,
% 0.21/0.55 ((~![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = age(sk3, sk4))))) | (dissimilar(sk3, sk4, sk7) | (~organization(sk3)) | (~greater(age(sk3, sk7), sigma)) | (~(age(sk3, sk4) = age(sk3, sk4))))),
% 0.21/0.55 inference(quant_inst,[status(thm)],[])).
% 0.21/0.55 tff(53,plain,
% 0.21/0.55 ((~![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = age(sk3, sk4))))) | (~greater(age(sk3, sk7), sigma)) | (~organization(sk3)) | dissimilar(sk3, sk4, sk7)),
% 0.21/0.55 inference(modus_ponens,[status(thm)],[52, 51])).
% 0.21/0.55 tff(54,plain,
% 0.21/0.55 (dissimilar(sk3, sk4, sk7)),
% 0.21/0.55 inference(unit_resolution,[status(thm)],[53, 41, 7, 28])).
% 0.21/0.55 tff(55,plain,
% 0.21/0.55 (^[B: $i, A: $i] : refl(((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = age(sk3, sk4)))) <=> ((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = age(sk3, sk4)))))),
% 0.21/0.55 inference(bind,[status(th)],[])).
% 0.21/0.55 tff(56,plain,
% 0.21/0.55 (![B: $i, A: $i] : ((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = age(sk3, sk4)))) <=> ![B: $i, A: $i] : ((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = age(sk3, sk4))))),
% 0.21/0.55 inference(quant_intro,[status(thm)],[55])).
% 0.21/0.55 tff(57,plain,
% 0.21/0.55 (^[B: $i, A: $i] : trans(monotonicity(rewrite((~(age(A, B) = zero)) <=> (~(age(A, B) = age(sk3, sk4)))), (((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = zero))) <=> ((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = age(sk3, sk4)))))), rewrite(((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = age(sk3, sk4)))) <=> ((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = age(sk3, sk4))))), (((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = zero))) <=> ((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = age(sk3, sk4))))))),
% 0.21/0.55 inference(bind,[status(th)],[])).
% 0.21/0.55 tff(58,plain,
% 0.21/0.55 (![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) = age(sk3, sk4))))),
% 0.21/0.55 inference(quant_intro,[status(thm)],[57])).
% 0.21/0.55 tff(59,plain,
% 0.21/0.55 (![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)))),
% 0.21/0.55 inference(rewrite,[status(thm)],[])).
% 0.21/0.55 tff(60,plain,
% 0.21/0.55 (^[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))))),
% 0.21/0.55 inference(bind,[status(th)],[])).
% 0.21/0.55 tff(61,plain,
% 0.21/0.55 (![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)))),
% 0.21/0.55 inference(quant_intro,[status(thm)],[60])).
% 0.21/0.55 tff(62,axiom,(![B: $i, A: $i] : (((~organization(A)) | (~(age(A, B) = zero))) | is_aligned(A, B))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','assumption_13_54')).
% 0.21/0.55 tff(63,plain,
% 0.21/0.55 (![B: $i, A: $i] : ((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = zero)))),
% 0.21/0.55 inference(modus_ponens,[status(thm)],[62, 61])).
% 0.21/0.55 tff(64,plain,
% 0.21/0.55 (![B: $i, A: $i] : ((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = zero)))),
% 0.21/0.55 inference(modus_ponens,[status(thm)],[63, 59])).
% 0.21/0.55 tff(65,plain,
% 0.21/0.55 (![B: $i, A: $i] : ((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = age(sk3, sk4))))),
% 0.21/0.55 inference(modus_ponens,[status(thm)],[64, 58])).
% 0.21/0.55 tff(66,plain,(
% 0.21/0.55 ![B: $i, A: $i] : ((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = age(sk3, sk4))))),
% 0.21/0.55 inference(skolemize,[status(sab)],[65])).
% 0.21/0.55 tff(67,plain,
% 0.21/0.55 (![B: $i, A: $i] : ((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = age(sk3, sk4))))),
% 0.21/0.55 inference(modus_ponens,[status(thm)],[66, 56])).
% 0.21/0.55 tff(68,plain,
% 0.21/0.55 (((~![B: $i, A: $i] : ((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = age(sk3, sk4))))) | ((~organization(sk3)) | is_aligned(sk3, sk4))) <=> ((~![B: $i, A: $i] : ((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = age(sk3, sk4))))) | (~organization(sk3)) | is_aligned(sk3, sk4))),
% 0.21/0.55 inference(rewrite,[status(thm)],[])).
% 0.21/0.55 tff(69,plain,
% 0.21/0.55 (((~organization(sk3)) | is_aligned(sk3, sk4) | $false) <=> ((~organization(sk3)) | is_aligned(sk3, sk4))),
% 0.21/0.55 inference(rewrite,[status(thm)],[])).
% 0.21/0.55 tff(70,plain,
% 0.21/0.55 (((~organization(sk3)) | is_aligned(sk3, sk4) | (~(age(sk3, sk4) = age(sk3, sk4)))) <=> ((~organization(sk3)) | is_aligned(sk3, sk4) | $false)),
% 0.21/0.55 inference(monotonicity,[status(thm)],[47])).
% 0.21/0.55 tff(71,plain,
% 0.21/0.55 (((~organization(sk3)) | is_aligned(sk3, sk4) | (~(age(sk3, sk4) = age(sk3, sk4)))) <=> ((~organization(sk3)) | is_aligned(sk3, sk4))),
% 0.21/0.55 inference(transitivity,[status(thm)],[70, 69])).
% 0.21/0.55 tff(72,plain,
% 0.21/0.55 (((~![B: $i, A: $i] : ((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = age(sk3, sk4))))) | ((~organization(sk3)) | is_aligned(sk3, sk4) | (~(age(sk3, sk4) = age(sk3, sk4))))) <=> ((~![B: $i, A: $i] : ((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = age(sk3, sk4))))) | ((~organization(sk3)) | is_aligned(sk3, sk4)))),
% 0.21/0.55 inference(monotonicity,[status(thm)],[71])).
% 0.21/0.55 tff(73,plain,
% 0.21/0.55 (((~![B: $i, A: $i] : ((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = age(sk3, sk4))))) | ((~organization(sk3)) | is_aligned(sk3, sk4) | (~(age(sk3, sk4) = age(sk3, sk4))))) <=> ((~![B: $i, A: $i] : ((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = age(sk3, sk4))))) | (~organization(sk3)) | is_aligned(sk3, sk4))),
% 0.21/0.55 inference(transitivity,[status(thm)],[72, 68])).
% 0.21/0.55 tff(74,plain,
% 0.21/0.55 ((~![B: $i, A: $i] : ((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = age(sk3, sk4))))) | ((~organization(sk3)) | is_aligned(sk3, sk4) | (~(age(sk3, sk4) = age(sk3, sk4))))),
% 0.21/0.55 inference(quant_inst,[status(thm)],[])).
% 0.21/0.55 tff(75,plain,
% 0.21/0.55 ((~![B: $i, A: $i] : ((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = age(sk3, sk4))))) | (~organization(sk3)) | is_aligned(sk3, sk4)),
% 0.21/0.55 inference(modus_ponens,[status(thm)],[74, 73])).
% 0.21/0.55 tff(76,plain,
% 0.21/0.55 (is_aligned(sk3, sk4)),
% 0.21/0.55 inference(unit_resolution,[status(thm)],[75, 67, 7])).
% 0.21/0.55 tff(77,plain,
% 0.21/0.55 (^[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))))),
% 0.21/0.55 inference(bind,[status(th)],[])).
% 0.21/0.55 tff(78,plain,
% 0.21/0.55 (![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)))),
% 0.21/0.56 inference(quant_intro,[status(thm)],[77])).
% 0.21/0.56 tff(79,plain,
% 0.21/0.56 (![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)))),
% 0.21/0.56 inference(rewrite,[status(thm)],[])).
% 0.21/0.56 tff(80,plain,
% 0.21/0.56 (^[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)))))),
% 0.21/0.56 inference(bind,[status(th)],[])).
% 0.21/0.56 tff(81,plain,
% 0.21/0.56 (![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)))),
% 0.21/0.56 inference(quant_intro,[status(thm)],[80])).
% 0.21/0.56 tff(82,axiom,(![B: $i, A: $i, C: $i] : (((~dissimilar(A, B, C)) | (~is_aligned(A, B))) | (~is_aligned(A, C)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','definition_2_49')).
% 0.21/0.56 tff(83,plain,
% 0.21/0.56 (![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~is_aligned(A, C)) | (~is_aligned(A, B)))),
% 0.21/0.56 inference(modus_ponens,[status(thm)],[82, 81])).
% 0.21/0.56 tff(84,plain,
% 0.21/0.56 (![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~is_aligned(A, C)) | (~is_aligned(A, B)))),
% 0.21/0.56 inference(modus_ponens,[status(thm)],[83, 79])).
% 0.21/0.56 tff(85,plain,(
% 0.21/0.56 ![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~is_aligned(A, C)) | (~is_aligned(A, B)))),
% 0.21/0.56 inference(skolemize,[status(sab)],[84])).
% 0.21/0.56 tff(86,plain,
% 0.21/0.56 (![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~is_aligned(A, C)) | (~is_aligned(A, B)))),
% 0.21/0.56 inference(modus_ponens,[status(thm)],[85, 78])).
% 0.21/0.56 tff(87,plain,
% 0.21/0.56 (((~![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~is_aligned(A, C)) | (~is_aligned(A, B)))) | ((~is_aligned(sk3, sk4)) | (~is_aligned(sk3, sk7)) | (~dissimilar(sk3, sk4, sk7)))) <=> ((~![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~is_aligned(A, C)) | (~is_aligned(A, B)))) | (~is_aligned(sk3, sk4)) | (~is_aligned(sk3, sk7)) | (~dissimilar(sk3, sk4, sk7)))),
% 0.21/0.56 inference(rewrite,[status(thm)],[])).
% 0.21/0.56 tff(88,plain,
% 0.21/0.56 (((~dissimilar(sk3, sk4, sk7)) | (~is_aligned(sk3, sk7)) | (~is_aligned(sk3, sk4))) <=> ((~is_aligned(sk3, sk4)) | (~is_aligned(sk3, sk7)) | (~dissimilar(sk3, sk4, sk7)))),
% 0.21/0.56 inference(rewrite,[status(thm)],[])).
% 0.21/0.56 tff(89,plain,
% 0.21/0.56 (((~![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~is_aligned(A, C)) | (~is_aligned(A, B)))) | ((~dissimilar(sk3, sk4, sk7)) | (~is_aligned(sk3, sk7)) | (~is_aligned(sk3, sk4)))) <=> ((~![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~is_aligned(A, C)) | (~is_aligned(A, B)))) | ((~is_aligned(sk3, sk4)) | (~is_aligned(sk3, sk7)) | (~dissimilar(sk3, sk4, sk7))))),
% 0.21/0.56 inference(monotonicity,[status(thm)],[88])).
% 0.21/0.56 tff(90,plain,
% 0.21/0.56 (((~![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~is_aligned(A, C)) | (~is_aligned(A, B)))) | ((~dissimilar(sk3, sk4, sk7)) | (~is_aligned(sk3, sk7)) | (~is_aligned(sk3, sk4)))) <=> ((~![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~is_aligned(A, C)) | (~is_aligned(A, B)))) | (~is_aligned(sk3, sk4)) | (~is_aligned(sk3, sk7)) | (~dissimilar(sk3, sk4, sk7)))),
% 0.21/0.56 inference(transitivity,[status(thm)],[89, 87])).
% 0.21/0.56 tff(91,plain,
% 0.21/0.56 ((~![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~is_aligned(A, C)) | (~is_aligned(A, B)))) | ((~dissimilar(sk3, sk4, sk7)) | (~is_aligned(sk3, sk7)) | (~is_aligned(sk3, sk4)))),
% 0.21/0.56 inference(quant_inst,[status(thm)],[])).
% 0.21/0.56 tff(92,plain,
% 0.21/0.56 ((~![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~is_aligned(A, C)) | (~is_aligned(A, B)))) | (~is_aligned(sk3, sk4)) | (~is_aligned(sk3, sk7)) | (~dissimilar(sk3, sk4, sk7))),
% 0.21/0.56 inference(modus_ponens,[status(thm)],[91, 90])).
% 0.21/0.56 tff(93,plain,
% 0.21/0.56 (~is_aligned(sk3, sk7)),
% 0.21/0.56 inference(unit_resolution,[status(thm)],[92, 86, 76, 54])).
% 0.21/0.56 tff(94,plain,
% 0.21/0.56 (greater(sigma, tau) <=> greater(sigma, tau)),
% 0.21/0.56 inference(rewrite,[status(thm)],[])).
% 0.21/0.56 tff(95,axiom,(greater(sigma, tau)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','theorem_10_80')).
% 0.21/0.56 tff(96,plain,
% 0.21/0.56 (greater(sigma, tau)),
% 0.21/0.56 inference(modus_ponens,[status(thm)],[95, 94])).
% 0.21/0.56 tff(97,plain,
% 0.21/0.56 (![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)))),
% 0.21/0.56 inference(rewrite,[status(thm)],[])).
% 0.21/0.56 tff(98,plain,
% 0.21/0.56 (![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)))),
% 0.21/0.56 inference(rewrite,[status(thm)],[])).
% 0.21/0.56 tff(99,plain,
% 0.21/0.56 (^[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))))),
% 0.21/0.56 inference(bind,[status(th)],[])).
% 0.21/0.56 tff(100,plain,
% 0.21/0.56 (![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)))),
% 0.21/0.56 inference(quant_intro,[status(thm)],[99])).
% 0.21/0.56 tff(101,axiom,(![B: $i, A: $i, C: $i] : (((~greater(A, B)) | (~greater(B, C))) | greater(A, C))), file('/export/starexec/sandbox2/benchmark/Axioms/MGT001-0.ax','meaning_postulate_greater_transitive_10')).
% 0.21/0.56 tff(102,plain,
% 0.21/0.56 (![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))),
% 0.21/0.56 inference(modus_ponens,[status(thm)],[101, 100])).
% 0.21/0.56 tff(103,plain,
% 0.21/0.56 (![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))),
% 0.21/0.56 inference(modus_ponens,[status(thm)],[102, 98])).
% 0.21/0.56 tff(104,plain,(
% 0.21/0.56 ![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))),
% 0.21/0.56 inference(skolemize,[status(sab)],[103])).
% 0.21/0.56 tff(105,plain,
% 0.21/0.56 (![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))),
% 0.21/0.56 inference(modus_ponens,[status(thm)],[104, 97])).
% 0.21/0.56 tff(106,plain,
% 0.21/0.56 (((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | ((~greater(sigma, tau)) | (~greater(age(sk3, sk7), sigma)) | greater(age(sk3, sk7), tau))) <=> ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (~greater(sigma, tau)) | (~greater(age(sk3, sk7), sigma)) | greater(age(sk3, sk7), tau))),
% 0.21/0.56 inference(rewrite,[status(thm)],[])).
% 0.21/0.56 tff(107,plain,
% 0.21/0.56 ((greater(age(sk3, sk7), tau) | (~greater(sigma, tau)) | (~greater(age(sk3, sk7), sigma))) <=> ((~greater(sigma, tau)) | (~greater(age(sk3, sk7), sigma)) | greater(age(sk3, sk7), tau))),
% 0.21/0.56 inference(rewrite,[status(thm)],[])).
% 0.21/0.56 tff(108,plain,
% 0.21/0.56 (((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(age(sk3, sk7), tau) | (~greater(sigma, tau)) | (~greater(age(sk3, sk7), sigma)))) <=> ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | ((~greater(sigma, tau)) | (~greater(age(sk3, sk7), sigma)) | greater(age(sk3, sk7), tau)))),
% 0.21/0.56 inference(monotonicity,[status(thm)],[107])).
% 0.21/0.56 tff(109,plain,
% 0.21/0.56 (((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(age(sk3, sk7), tau) | (~greater(sigma, tau)) | (~greater(age(sk3, sk7), sigma)))) <=> ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (~greater(sigma, tau)) | (~greater(age(sk3, sk7), sigma)) | greater(age(sk3, sk7), tau))),
% 0.21/0.56 inference(transitivity,[status(thm)],[108, 106])).
% 0.21/0.56 tff(110,plain,
% 0.21/0.56 ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(age(sk3, sk7), tau) | (~greater(sigma, tau)) | (~greater(age(sk3, sk7), sigma)))),
% 0.21/0.56 inference(quant_inst,[status(thm)],[])).
% 0.21/0.56 tff(111,plain,
% 0.21/0.56 ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (~greater(sigma, tau)) | (~greater(age(sk3, sk7), sigma)) | greater(age(sk3, sk7), tau)),
% 0.21/0.56 inference(modus_ponens,[status(thm)],[110, 109])).
% 0.21/0.56 tff(112,plain,
% 0.21/0.56 (greater(age(sk3, sk7), tau)),
% 0.21/0.56 inference(unit_resolution,[status(thm)],[111, 105, 96, 28])).
% 0.21/0.56 tff(113,plain,
% 0.21/0.56 (robust_position(sk3) <=> robust_position(sk3)),
% 0.21/0.56 inference(rewrite,[status(thm)],[])).
% 0.21/0.56 tff(114,axiom,(robust_position(sk3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','theorem_10_75')).
% 0.21/0.56 tff(115,plain,
% 0.21/0.56 (robust_position(sk3)),
% 0.21/0.56 inference(modus_ponens,[status(thm)],[114, 113])).
% 0.21/0.56 tff(116,plain,
% 0.21/0.56 (^[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))))),
% 0.21/0.56 inference(bind,[status(th)],[])).
% 0.21/0.56 tff(117,plain,
% 0.21/0.56 (![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)))),
% 0.21/0.56 inference(quant_intro,[status(thm)],[116])).
% 0.21/0.56 tff(118,plain,
% 0.21/0.56 (![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)))),
% 0.21/0.56 inference(rewrite,[status(thm)],[])).
% 0.21/0.56 tff(119,plain,
% 0.21/0.56 (^[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))))),
% 0.21/0.56 inference(bind,[status(th)],[])).
% 0.21/0.56 tff(120,plain,
% 0.21/0.56 (![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)))),
% 0.21/0.56 inference(quant_intro,[status(thm)],[119])).
% 0.21/0.56 tff(121,axiom,(![B: $i, A: $i] : (((~robust_position(A)) | (~greater(age(A, B), tau))) | positional_advantage(A, B))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','definition_4_58')).
% 0.21/0.56 tff(122,plain,
% 0.21/0.56 (![B: $i, A: $i] : (positional_advantage(A, B) | (~robust_position(A)) | (~greater(age(A, B), tau)))),
% 0.21/0.56 inference(modus_ponens,[status(thm)],[121, 120])).
% 0.21/0.56 tff(123,plain,
% 0.21/0.56 (![B: $i, A: $i] : (positional_advantage(A, B) | (~robust_position(A)) | (~greater(age(A, B), tau)))),
% 0.21/0.56 inference(modus_ponens,[status(thm)],[122, 118])).
% 0.21/0.56 tff(124,plain,(
% 0.21/0.56 ![B: $i, A: $i] : (positional_advantage(A, B) | (~robust_position(A)) | (~greater(age(A, B), tau)))),
% 0.21/0.56 inference(skolemize,[status(sab)],[123])).
% 0.21/0.56 tff(125,plain,
% 0.21/0.56 (![B: $i, A: $i] : (positional_advantage(A, B) | (~robust_position(A)) | (~greater(age(A, B), tau)))),
% 0.21/0.56 inference(modus_ponens,[status(thm)],[124, 117])).
% 0.21/0.56 tff(126,plain,
% 0.21/0.56 (((~![B: $i, A: $i] : (positional_advantage(A, B) | (~robust_position(A)) | (~greater(age(A, B), tau)))) | ((~robust_position(sk3)) | positional_advantage(sk3, sk7) | (~greater(age(sk3, sk7), tau)))) <=> ((~![B: $i, A: $i] : (positional_advantage(A, B) | (~robust_position(A)) | (~greater(age(A, B), tau)))) | (~robust_position(sk3)) | positional_advantage(sk3, sk7) | (~greater(age(sk3, sk7), tau)))),
% 0.21/0.56 inference(rewrite,[status(thm)],[])).
% 0.21/0.56 tff(127,plain,
% 0.21/0.56 ((positional_advantage(sk3, sk7) | (~robust_position(sk3)) | (~greater(age(sk3, sk7), tau))) <=> ((~robust_position(sk3)) | positional_advantage(sk3, sk7) | (~greater(age(sk3, sk7), tau)))),
% 0.21/0.56 inference(rewrite,[status(thm)],[])).
% 0.21/0.56 tff(128,plain,
% 0.21/0.56 (((~![B: $i, A: $i] : (positional_advantage(A, B) | (~robust_position(A)) | (~greater(age(A, B), tau)))) | (positional_advantage(sk3, sk7) | (~robust_position(sk3)) | (~greater(age(sk3, sk7), tau)))) <=> ((~![B: $i, A: $i] : (positional_advantage(A, B) | (~robust_position(A)) | (~greater(age(A, B), tau)))) | ((~robust_position(sk3)) | positional_advantage(sk3, sk7) | (~greater(age(sk3, sk7), tau))))),
% 0.21/0.56 inference(monotonicity,[status(thm)],[127])).
% 0.21/0.56 tff(129,plain,
% 0.21/0.56 (((~![B: $i, A: $i] : (positional_advantage(A, B) | (~robust_position(A)) | (~greater(age(A, B), tau)))) | (positional_advantage(sk3, sk7) | (~robust_position(sk3)) | (~greater(age(sk3, sk7), tau)))) <=> ((~![B: $i, A: $i] : (positional_advantage(A, B) | (~robust_position(A)) | (~greater(age(A, B), tau)))) | (~robust_position(sk3)) | positional_advantage(sk3, sk7) | (~greater(age(sk3, sk7), tau)))),
% 0.21/0.56 inference(transitivity,[status(thm)],[128, 126])).
% 0.21/0.56 tff(130,plain,
% 0.21/0.56 ((~![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)))),
% 0.21/0.56 inference(quant_inst,[status(thm)],[])).
% 0.21/0.56 tff(131,plain,
% 0.21/0.56 ((~![B: $i, A: $i] : (positional_advantage(A, B) | (~robust_position(A)) | (~greater(age(A, B), tau)))) | (~robust_position(sk3)) | positional_advantage(sk3, sk7) | (~greater(age(sk3, sk7), tau))),
% 0.21/0.56 inference(modus_ponens,[status(thm)],[130, 129])).
% 0.21/0.56 tff(132,plain,
% 0.21/0.56 (positional_advantage(sk3, sk7)),
% 0.21/0.56 inference(unit_resolution,[status(thm)],[131, 125, 115, 112])).
% 0.21/0.56 tff(133,plain,
% 0.21/0.56 (^[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)))),
% 0.21/0.56 inference(bind,[status(th)],[])).
% 0.21/0.56 tff(134,plain,
% 0.21/0.56 (![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))),
% 0.21/0.56 inference(quant_intro,[status(thm)],[133])).
% 0.21/0.56 tff(135,plain,
% 0.21/0.56 (![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))),
% 0.21/0.56 inference(rewrite,[status(thm)],[])).
% 0.21/0.56 tff(136,plain,
% 0.21/0.56 (^[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))))),
% 0.21/0.56 inference(bind,[status(th)],[])).
% 0.21/0.56 tff(137,plain,
% 0.21/0.56 (![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))),
% 0.21/0.56 inference(quant_intro,[status(thm)],[136])).
% 0.21/0.56 tff(138,axiom,(![B: $i, A: $i] : (((((~organization(A)) | has_immunity(A, B)) | is_aligned(A, B)) | (~positional_advantage(A, B))) | (hazard_of_mortality(A, B) = mod1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','assumption_17_65')).
% 0.21/0.56 tff(139,plain,
% 0.21/0.56 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = mod1))),
% 0.21/0.56 inference(modus_ponens,[status(thm)],[138, 137])).
% 0.21/0.56 tff(140,plain,
% 0.21/0.56 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = mod1))),
% 0.21/0.56 inference(modus_ponens,[status(thm)],[139, 135])).
% 0.21/0.56 tff(141,plain,(
% 0.21/0.56 ![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = mod1))),
% 0.21/0.56 inference(skolemize,[status(sab)],[140])).
% 0.21/0.56 tff(142,plain,
% 0.21/0.56 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = mod1))),
% 0.21/0.56 inference(modus_ponens,[status(thm)],[141, 134])).
% 0.21/0.56 tff(143,plain,
% 0.21/0.56 (((~![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))),
% 0.21/0.56 inference(rewrite,[status(thm)],[])).
% 0.21/0.56 tff(144,plain,
% 0.21/0.56 ((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))),
% 0.21/0.56 inference(rewrite,[status(thm)],[])).
% 0.21/0.56 tff(145,plain,
% 0.21/0.56 (((~![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)))),
% 0.21/0.56 inference(monotonicity,[status(thm)],[144])).
% 0.21/0.56 tff(146,plain,
% 0.21/0.56 (((~![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))),
% 0.21/0.56 inference(transitivity,[status(thm)],[145, 143])).
% 0.21/0.56 tff(147,plain,
% 0.21/0.56 ((~![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))),
% 0.21/0.56 inference(quant_inst,[status(thm)],[])).
% 0.21/0.56 tff(148,plain,
% 0.21/0.56 ((~![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)),
% 0.21/0.56 inference(modus_ponens,[status(thm)],[147, 146])).
% 0.21/0.56 tff(149,plain,
% 0.21/0.56 (is_aligned(sk3, sk7) | has_immunity(sk3, sk7) | (hazard_of_mortality(sk3, sk7) = mod1)),
% 0.21/0.56 inference(unit_resolution,[status(thm)],[148, 142, 7, 132])).
% 0.21/0.56 tff(150,plain,
% 0.21/0.56 (has_immunity(sk3, sk7) | (hazard_of_mortality(sk3, sk7) = mod1)),
% 0.21/0.56 inference(unit_resolution,[status(thm)],[149, 93])).
% 0.21/0.56 tff(151,plain,
% 0.21/0.56 (hazard_of_mortality(sk3, sk7) = mod1),
% 0.21/0.56 inference(unit_resolution,[status(thm)],[150, 25])).
% 0.21/0.56 tff(152,assumption,(hazard_of_mortality(sk3, sk7) = mod1), introduced(assumption)).
% 0.21/0.56 tff(153,assumption,(hazard_of_mortality(sk3, sk6) = very_low), introduced(assumption)).
% 0.21/0.56 tff(154,plain,
% 0.21/0.56 (smaller(hazard_of_mortality(sk3, sk6), hazard_of_mortality(sk3, sk7)) <=> smaller(very_low, mod1)),
% 0.21/0.56 inference(monotonicity,[status(thm)],[153, 152])).
% 0.21/0.56 tff(155,plain,
% 0.21/0.56 (smaller(very_low, mod1) <=> smaller(hazard_of_mortality(sk3, sk6), hazard_of_mortality(sk3, sk7))),
% 0.21/0.56 inference(symmetry,[status(thm)],[154])).
% 0.21/0.56 tff(156,plain,
% 0.21/0.56 (greater(low, very_low) <=> greater(low, very_low)),
% 0.21/0.56 inference(rewrite,[status(thm)],[])).
% 0.21/0.56 tff(157,axiom,(greater(low, very_low)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','assumption_18c_70')).
% 0.21/0.56 tff(158,plain,
% 0.21/0.56 (greater(low, very_low)),
% 0.21/0.56 inference(modus_ponens,[status(thm)],[157, 156])).
% 0.21/0.56 tff(159,plain,
% 0.21/0.56 (greater(mod1, low) <=> greater(mod1, low)),
% 0.21/0.56 inference(rewrite,[status(thm)],[])).
% 0.21/0.56 tff(160,axiom,(greater(mod1, low)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','assumption_18b_69')).
% 0.21/0.56 tff(161,plain,
% 0.21/0.56 (greater(mod1, low)),
% 0.21/0.56 inference(modus_ponens,[status(thm)],[160, 159])).
% 0.21/0.56 tff(162,plain,
% 0.21/0.56 (((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | ((~greater(mod1, low)) | greater(mod1, very_low) | (~greater(low, very_low)))) <=> ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (~greater(mod1, low)) | greater(mod1, very_low) | (~greater(low, very_low)))),
% 0.21/0.56 inference(rewrite,[status(thm)],[])).
% 0.21/0.56 tff(163,plain,
% 0.21/0.56 ((greater(mod1, very_low) | (~greater(low, very_low)) | (~greater(mod1, low))) <=> ((~greater(mod1, low)) | greater(mod1, very_low) | (~greater(low, very_low)))),
% 0.21/0.56 inference(rewrite,[status(thm)],[])).
% 0.21/0.56 tff(164,plain,
% 0.21/0.56 (((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(mod1, very_low) | (~greater(low, very_low)) | (~greater(mod1, low)))) <=> ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | ((~greater(mod1, low)) | greater(mod1, very_low) | (~greater(low, very_low))))),
% 0.21/0.56 inference(monotonicity,[status(thm)],[163])).
% 0.21/0.56 tff(165,plain,
% 0.21/0.56 (((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(mod1, very_low) | (~greater(low, very_low)) | (~greater(mod1, low)))) <=> ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (~greater(mod1, low)) | greater(mod1, very_low) | (~greater(low, very_low)))),
% 0.21/0.56 inference(transitivity,[status(thm)],[164, 162])).
% 0.21/0.56 tff(166,plain,
% 0.21/0.56 ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(mod1, very_low) | (~greater(low, very_low)) | (~greater(mod1, low)))),
% 0.21/0.56 inference(quant_inst,[status(thm)],[])).
% 0.21/0.56 tff(167,plain,
% 0.21/0.56 ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (~greater(mod1, low)) | greater(mod1, very_low) | (~greater(low, very_low))),
% 0.21/0.56 inference(modus_ponens,[status(thm)],[166, 165])).
% 0.21/0.56 tff(168,plain,
% 0.21/0.56 (greater(mod1, very_low)),
% 0.21/0.56 inference(unit_resolution,[status(thm)],[167, 105, 161, 158])).
% 0.21/0.56 tff(169,plain,
% 0.21/0.56 (^[B: $i, A: $i] : refl(((~greater(A, B)) | smaller(B, A)) <=> ((~greater(A, B)) | smaller(B, A)))),
% 0.21/0.56 inference(bind,[status(th)],[])).
% 0.21/0.56 tff(170,plain,
% 0.21/0.56 (![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A)) <=> ![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))),
% 0.21/0.56 inference(quant_intro,[status(thm)],[169])).
% 0.21/0.56 tff(171,plain,
% 0.21/0.56 (![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A)) <=> ![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))),
% 0.21/0.56 inference(rewrite,[status(thm)],[])).
% 0.21/0.56 tff(172,axiom,(![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))), file('/export/starexec/sandbox2/benchmark/Axioms/MGT001-0.ax','definition_smaller_8')).
% 0.21/0.56 tff(173,plain,
% 0.21/0.56 (![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))),
% 0.21/0.56 inference(modus_ponens,[status(thm)],[172, 171])).
% 0.21/0.56 tff(174,plain,(
% 0.21/0.56 ![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))),
% 0.21/0.56 inference(skolemize,[status(sab)],[173])).
% 0.21/0.56 tff(175,plain,
% 0.21/0.56 (![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))),
% 0.21/0.56 inference(modus_ponens,[status(thm)],[174, 170])).
% 0.21/0.56 tff(176,plain,
% 0.21/0.56 (((~![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))) | ((~greater(mod1, very_low)) | smaller(very_low, mod1))) <=> ((~![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))) | (~greater(mod1, very_low)) | smaller(very_low, mod1))),
% 0.21/0.56 inference(rewrite,[status(thm)],[])).
% 0.21/0.56 tff(177,plain,
% 0.21/0.56 ((~![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))) | ((~greater(mod1, very_low)) | smaller(very_low, mod1))),
% 0.21/0.56 inference(quant_inst,[status(thm)],[])).
% 0.21/0.56 tff(178,plain,
% 0.21/0.56 ((~![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))) | (~greater(mod1, very_low)) | smaller(very_low, mod1)),
% 0.21/0.56 inference(modus_ponens,[status(thm)],[177, 176])).
% 0.21/0.56 tff(179,plain,
% 0.21/0.56 (smaller(very_low, mod1)),
% 0.21/0.56 inference(unit_resolution,[status(thm)],[178, 175, 168])).
% 0.21/0.56 tff(180,plain,
% 0.21/0.56 (smaller(hazard_of_mortality(sk3, sk6), hazard_of_mortality(sk3, sk7))),
% 0.21/0.56 inference(modus_ponens,[status(thm)],[179, 155])).
% 0.21/0.56 tff(181,assumption,(has_immunity(sk3, sk4)), introduced(assumption)).
% 0.21/0.56 tff(182,plain,
% 0.21/0.56 (((~![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)))),
% 0.21/0.56 inference(rewrite,[status(thm)],[])).
% 0.21/0.56 tff(183,plain,
% 0.21/0.56 ((has_endowment(sk3) | (~has_immunity(sk3, sk4)) | (~organization(sk3))) <=> (has_endowment(sk3) | (~organization(sk3)) | (~has_immunity(sk3, sk4)))),
% 0.21/0.56 inference(rewrite,[status(thm)],[])).
% 0.21/0.56 tff(184,plain,
% 0.21/0.56 (((~![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))))),
% 0.21/0.56 inference(monotonicity,[status(thm)],[183])).
% 0.21/0.56 tff(185,plain,
% 0.21/0.56 (((~![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)))),
% 0.21/0.56 inference(transitivity,[status(thm)],[184, 182])).
% 0.21/0.56 tff(186,plain,
% 0.21/0.56 ((~![B: $i, A: $i] : (has_endowment(A) | (~has_immunity(A, B)) | (~organization(A)))) | (has_endowment(sk3) | (~has_immunity(sk3, sk4)) | (~organization(sk3)))),
% 0.21/0.56 inference(quant_inst,[status(thm)],[])).
% 0.21/0.56 tff(187,plain,
% 0.21/0.56 ((~![B: $i, A: $i] : (has_endowment(A) | (~has_immunity(A, B)) | (~organization(A)))) | has_endowment(sk3) | (~organization(sk3)) | (~has_immunity(sk3, sk4))),
% 0.21/0.56 inference(modus_ponens,[status(thm)],[186, 185])).
% 0.21/0.56 tff(188,plain,
% 0.21/0.56 ($false),
% 0.21/0.56 inference(unit_resolution,[status(thm)],[187, 17, 7, 4, 181])).
% 0.21/0.56 tff(189,plain,(~has_immunity(sk3, sk4)), inference(lemma,lemma(discharge,[]))).
% 0.21/0.56 tff(190,plain,
% 0.21/0.56 (greater(tau, zero) <=> greater(tau, age(sk3, sk4))),
% 0.21/0.56 inference(rewrite,[status(thm)],[])).
% 0.21/0.57 tff(191,plain,
% 0.21/0.57 (greater(tau, zero) <=> greater(tau, zero)),
% 0.21/0.57 inference(rewrite,[status(thm)],[])).
% 0.21/0.57 tff(192,axiom,(greater(tau, zero)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','theorem_10_79')).
% 0.21/0.57 tff(193,plain,
% 0.21/0.57 (greater(tau, zero)),
% 0.21/0.57 inference(modus_ponens,[status(thm)],[192, 191])).
% 0.21/0.57 tff(194,plain,
% 0.21/0.57 (greater(tau, age(sk3, sk4))),
% 0.21/0.57 inference(modus_ponens,[status(thm)],[193, 190])).
% 0.21/0.57 tff(195,plain,
% 0.21/0.57 (((~![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))) | ((~greater(tau, age(sk3, sk4))) | smaller(age(sk3, sk4), tau))) <=> ((~![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))) | (~greater(tau, age(sk3, sk4))) | smaller(age(sk3, sk4), tau))),
% 0.21/0.57 inference(rewrite,[status(thm)],[])).
% 0.21/0.57 tff(196,plain,
% 0.21/0.57 ((~![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))) | ((~greater(tau, age(sk3, sk4))) | smaller(age(sk3, sk4), tau))),
% 0.21/0.57 inference(quant_inst,[status(thm)],[])).
% 0.21/0.57 tff(197,plain,
% 0.21/0.57 ((~![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))) | (~greater(tau, age(sk3, sk4))) | smaller(age(sk3, sk4), tau)),
% 0.21/0.57 inference(modus_ponens,[status(thm)],[196, 195])).
% 0.21/0.57 tff(198,plain,
% 0.21/0.57 (smaller(age(sk3, sk4), tau)),
% 0.21/0.57 inference(unit_resolution,[status(thm)],[197, 175, 194])).
% 0.21/0.57 tff(199,plain,
% 0.21/0.57 (^[B: $i, A: $i] : refl(((~smaller(A, B)) | smaller_or_equal(A, B)) <=> ((~smaller(A, B)) | smaller_or_equal(A, B)))),
% 0.21/0.57 inference(bind,[status(th)],[])).
% 0.21/0.57 tff(200,plain,
% 0.21/0.57 (![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B)) <=> ![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B))),
% 0.21/0.57 inference(quant_intro,[status(thm)],[199])).
% 0.21/0.57 tff(201,plain,
% 0.21/0.57 (![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B)) <=> ![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B))),
% 0.21/0.57 inference(rewrite,[status(thm)],[])).
% 0.21/0.57 tff(202,axiom,(![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B))), file('/export/starexec/sandbox2/benchmark/Axioms/MGT001-0.ax','definition_smaller_or_equal_2')).
% 0.21/0.57 tff(203,plain,
% 0.21/0.57 (![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B))),
% 0.21/0.57 inference(modus_ponens,[status(thm)],[202, 201])).
% 0.21/0.57 tff(204,plain,(
% 0.21/0.57 ![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B))),
% 0.21/0.57 inference(skolemize,[status(sab)],[203])).
% 0.21/0.57 tff(205,plain,
% 0.21/0.57 (![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B))),
% 0.21/0.57 inference(modus_ponens,[status(thm)],[204, 200])).
% 0.21/0.57 tff(206,plain,
% 0.21/0.57 (((~![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B))) | ((~smaller(age(sk3, sk4), tau)) | smaller_or_equal(age(sk3, sk4), tau))) <=> ((~![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B))) | (~smaller(age(sk3, sk4), tau)) | smaller_or_equal(age(sk3, sk4), tau))),
% 0.21/0.57 inference(rewrite,[status(thm)],[])).
% 0.21/0.57 tff(207,plain,
% 0.21/0.57 ((~![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B))) | ((~smaller(age(sk3, sk4), tau)) | smaller_or_equal(age(sk3, sk4), tau))),
% 0.21/0.57 inference(quant_inst,[status(thm)],[])).
% 0.21/0.57 tff(208,plain,
% 0.21/0.57 ((~![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B))) | (~smaller(age(sk3, sk4), tau)) | smaller_or_equal(age(sk3, sk4), tau)),
% 0.21/0.57 inference(modus_ponens,[status(thm)],[207, 206])).
% 0.21/0.57 tff(209,plain,
% 0.21/0.57 (smaller_or_equal(age(sk3, sk4), tau)),
% 0.21/0.57 inference(unit_resolution,[status(thm)],[208, 205, 198])).
% 0.21/0.57 tff(210,plain,
% 0.21/0.57 (^[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))))),
% 0.21/0.57 inference(bind,[status(th)],[])).
% 0.21/0.57 tff(211,plain,
% 0.21/0.57 (![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)))),
% 0.21/0.57 inference(quant_intro,[status(thm)],[210])).
% 0.21/0.57 tff(212,plain,
% 0.21/0.57 (![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)))),
% 0.21/0.57 inference(rewrite,[status(thm)],[])).
% 0.21/0.57 tff(213,plain,
% 0.21/0.57 (^[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))))),
% 0.21/0.57 inference(bind,[status(th)],[])).
% 0.21/0.57 tff(214,plain,
% 0.21/0.57 (![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)))),
% 0.21/0.57 inference(quant_intro,[status(thm)],[213])).
% 0.21/0.57 tff(215,axiom,(![B: $i, A: $i] : (((~robust_position(A)) | (~smaller_or_equal(age(A, B), tau))) | (~positional_advantage(A, B)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','definition_4_57')).
% 0.21/0.57 tff(216,plain,
% 0.21/0.57 (![B: $i, A: $i] : ((~positional_advantage(A, B)) | (~smaller_or_equal(age(A, B), tau)) | (~robust_position(A)))),
% 0.21/0.57 inference(modus_ponens,[status(thm)],[215, 214])).
% 0.21/0.57 tff(217,plain,
% 0.21/0.57 (![B: $i, A: $i] : ((~positional_advantage(A, B)) | (~smaller_or_equal(age(A, B), tau)) | (~robust_position(A)))),
% 0.21/0.57 inference(modus_ponens,[status(thm)],[216, 212])).
% 0.21/0.57 tff(218,plain,(
% 0.21/0.57 ![B: $i, A: $i] : ((~positional_advantage(A, B)) | (~smaller_or_equal(age(A, B), tau)) | (~robust_position(A)))),
% 0.21/0.57 inference(skolemize,[status(sab)],[217])).
% 0.21/0.57 tff(219,plain,
% 0.21/0.57 (![B: $i, A: $i] : ((~positional_advantage(A, B)) | (~smaller_or_equal(age(A, B), tau)) | (~robust_position(A)))),
% 0.21/0.57 inference(modus_ponens,[status(thm)],[218, 211])).
% 0.21/0.57 tff(220,plain,
% 0.21/0.57 (((~![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)))),
% 0.21/0.57 inference(rewrite,[status(thm)],[])).
% 0.21/0.57 tff(221,plain,
% 0.21/0.57 ((~![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)))),
% 0.21/0.57 inference(quant_inst,[status(thm)],[])).
% 0.21/0.57 tff(222,plain,
% 0.21/0.57 ((~![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))),
% 0.21/0.57 inference(modus_ponens,[status(thm)],[221, 220])).
% 0.21/0.57 tff(223,plain,
% 0.21/0.57 ((~positional_advantage(sk3, sk4)) | (~smaller_or_equal(age(sk3, sk4), tau))),
% 0.21/0.57 inference(unit_resolution,[status(thm)],[222, 219, 115])).
% 0.21/0.57 tff(224,plain,
% 0.21/0.57 (~positional_advantage(sk3, sk4)),
% 0.21/0.57 inference(unit_resolution,[status(thm)],[223, 209])).
% 0.21/0.57 tff(225,plain,
% 0.21/0.57 (^[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)))),
% 0.21/0.57 inference(bind,[status(th)],[])).
% 0.21/0.57 tff(226,plain,
% 0.21/0.57 (![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))),
% 0.21/0.57 inference(quant_intro,[status(thm)],[225])).
% 0.21/0.57 tff(227,plain,
% 0.21/0.57 (![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))),
% 0.21/0.57 inference(rewrite,[status(thm)],[])).
% 0.21/0.57 tff(228,plain,
% 0.21/0.57 (^[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))))),
% 0.21/0.57 inference(bind,[status(th)],[])).
% 0.21/0.57 tff(229,plain,
% 0.21/0.57 (![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))),
% 0.21/0.57 inference(quant_intro,[status(thm)],[228])).
% 0.21/0.57 tff(230,axiom,(![B: $i, A: $i] : (((((~organization(A)) | has_immunity(A, B)) | (~is_aligned(A, B))) | positional_advantage(A, B)) | (hazard_of_mortality(A, B) = mod2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','assumption_17_66')).
% 0.21/0.57 tff(231,plain,
% 0.21/0.57 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | (~is_aligned(A, B)) | (hazard_of_mortality(A, B) = mod2))),
% 0.21/0.57 inference(modus_ponens,[status(thm)],[230, 229])).
% 0.21/0.57 tff(232,plain,
% 0.21/0.57 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | (~is_aligned(A, B)) | (hazard_of_mortality(A, B) = mod2))),
% 0.21/0.57 inference(modus_ponens,[status(thm)],[231, 227])).
% 0.21/0.57 tff(233,plain,(
% 0.21/0.57 ![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | (~is_aligned(A, B)) | (hazard_of_mortality(A, B) = mod2))),
% 0.21/0.57 inference(skolemize,[status(sab)],[232])).
% 0.21/0.57 tff(234,plain,
% 0.21/0.57 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | (~is_aligned(A, B)) | (hazard_of_mortality(A, B) = mod2))),
% 0.21/0.57 inference(modus_ponens,[status(thm)],[233, 226])).
% 0.21/0.57 tff(235,plain,
% 0.21/0.57 (((~![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))),
% 0.21/0.57 inference(rewrite,[status(thm)],[])).
% 0.21/0.57 tff(236,plain,
% 0.21/0.57 ((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))),
% 0.21/0.57 inference(rewrite,[status(thm)],[])).
% 0.21/0.57 tff(237,plain,
% 0.21/0.57 (((~![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)))),
% 0.21/0.57 inference(monotonicity,[status(thm)],[236])).
% 0.21/0.57 tff(238,plain,
% 0.21/0.57 (((~![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))),
% 0.21/0.57 inference(transitivity,[status(thm)],[237, 235])).
% 0.21/0.57 tff(239,plain,
% 0.21/0.57 ((~![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))),
% 0.21/0.57 inference(quant_inst,[status(thm)],[])).
% 0.21/0.57 tff(240,plain,
% 0.21/0.57 ((~![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)),
% 0.21/0.57 inference(modus_ponens,[status(thm)],[239, 238])).
% 0.21/0.57 tff(241,plain,
% 0.21/0.57 (positional_advantage(sk3, sk4) | has_immunity(sk3, sk4) | (hazard_of_mortality(sk3, sk4) = mod2)),
% 0.21/0.57 inference(unit_resolution,[status(thm)],[240, 234, 7, 76])).
% 0.21/0.57 tff(242,plain,
% 0.21/0.57 (has_immunity(sk3, sk4) | (hazard_of_mortality(sk3, sk4) = mod2)),
% 0.21/0.57 inference(unit_resolution,[status(thm)],[241, 224])).
% 0.21/0.57 tff(243,plain,
% 0.21/0.57 (hazard_of_mortality(sk3, sk4) = mod2),
% 0.21/0.57 inference(unit_resolution,[status(thm)],[242, 189])).
% 0.21/0.57 tff(244,plain,
% 0.21/0.57 ((hazard_of_mortality(sk3, sk5) = hazard_of_mortality(sk3, sk4)) <=> (hazard_of_mortality(sk3, sk5) = mod2)),
% 0.21/0.57 inference(monotonicity,[status(thm)],[243])).
% 0.21/0.57 tff(245,plain,
% 0.21/0.57 ((hazard_of_mortality(sk3, sk5) = mod2) <=> (hazard_of_mortality(sk3, sk5) = hazard_of_mortality(sk3, sk4))),
% 0.21/0.57 inference(symmetry,[status(thm)],[244])).
% 0.21/0.57 tff(246,assumption,(greater(age(sk3, sk5), sigma)), introduced(assumption)).
% 0.21/0.57 tff(247,plain,
% 0.21/0.57 (smaller_or_equal(age(sk3, sk5), tau) <=> smaller_or_equal(age(sk3, sk5), tau)),
% 0.21/0.57 inference(rewrite,[status(thm)],[])).
% 0.21/0.57 tff(248,axiom,(smaller_or_equal(age(sk3, sk5), tau)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','theorem_10_81')).
% 0.21/0.57 tff(249,plain,
% 0.21/0.57 (smaller_or_equal(age(sk3, sk5), tau)),
% 0.21/0.57 inference(modus_ponens,[status(thm)],[248, 247])).
% 0.21/0.57 tff(250,plain,
% 0.21/0.57 (((~![B: $i, A: $i] : ((~positional_advantage(A, B)) | (~smaller_or_equal(age(A, B), tau)) | (~robust_position(A)))) | ((~smaller_or_equal(age(sk3, sk5), tau)) | (~robust_position(sk3)) | (~positional_advantage(sk3, sk5)))) <=> ((~![B: $i, A: $i] : ((~positional_advantage(A, B)) | (~smaller_or_equal(age(A, B), tau)) | (~robust_position(A)))) | (~smaller_or_equal(age(sk3, sk5), tau)) | (~robust_position(sk3)) | (~positional_advantage(sk3, sk5)))),
% 0.21/0.57 inference(rewrite,[status(thm)],[])).
% 0.21/0.57 tff(251,plain,
% 0.21/0.57 (((~positional_advantage(sk3, sk5)) | (~smaller_or_equal(age(sk3, sk5), tau)) | (~robust_position(sk3))) <=> ((~smaller_or_equal(age(sk3, sk5), tau)) | (~robust_position(sk3)) | (~positional_advantage(sk3, sk5)))),
% 0.21/0.57 inference(rewrite,[status(thm)],[])).
% 0.21/0.57 tff(252,plain,
% 0.21/0.57 (((~![B: $i, A: $i] : ((~positional_advantage(A, B)) | (~smaller_or_equal(age(A, B), tau)) | (~robust_position(A)))) | ((~positional_advantage(sk3, sk5)) | (~smaller_or_equal(age(sk3, sk5), tau)) | (~robust_position(sk3)))) <=> ((~![B: $i, A: $i] : ((~positional_advantage(A, B)) | (~smaller_or_equal(age(A, B), tau)) | (~robust_position(A)))) | ((~smaller_or_equal(age(sk3, sk5), tau)) | (~robust_position(sk3)) | (~positional_advantage(sk3, sk5))))),
% 0.21/0.57 inference(monotonicity,[status(thm)],[251])).
% 0.21/0.57 tff(253,plain,
% 0.21/0.57 (((~![B: $i, A: $i] : ((~positional_advantage(A, B)) | (~smaller_or_equal(age(A, B), tau)) | (~robust_position(A)))) | ((~positional_advantage(sk3, sk5)) | (~smaller_or_equal(age(sk3, sk5), tau)) | (~robust_position(sk3)))) <=> ((~![B: $i, A: $i] : ((~positional_advantage(A, B)) | (~smaller_or_equal(age(A, B), tau)) | (~robust_position(A)))) | (~smaller_or_equal(age(sk3, sk5), tau)) | (~robust_position(sk3)) | (~positional_advantage(sk3, sk5)))),
% 0.21/0.57 inference(transitivity,[status(thm)],[252, 250])).
% 0.21/0.57 tff(254,plain,
% 0.21/0.57 ((~![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)))),
% 0.21/0.57 inference(quant_inst,[status(thm)],[])).
% 0.21/0.57 tff(255,plain,
% 0.21/0.57 ((~![B: $i, A: $i] : ((~positional_advantage(A, B)) | (~smaller_or_equal(age(A, B), tau)) | (~robust_position(A)))) | (~smaller_or_equal(age(sk3, sk5), tau)) | (~robust_position(sk3)) | (~positional_advantage(sk3, sk5))),
% 0.21/0.57 inference(modus_ponens,[status(thm)],[254, 253])).
% 0.21/0.57 tff(256,plain,
% 0.21/0.57 (~positional_advantage(sk3, sk5)),
% 0.21/0.57 inference(unit_resolution,[status(thm)],[255, 219, 115, 249])).
% 0.21/0.57 tff(257,plain,
% 0.21/0.57 (((~![B: $i, A: $i] : (positional_advantage(A, B) | (~robust_position(A)) | (~greater(age(A, B), tau)))) | ((~robust_position(sk3)) | positional_advantage(sk3, sk5) | (~greater(age(sk3, sk5), tau)))) <=> ((~![B: $i, A: $i] : (positional_advantage(A, B) | (~robust_position(A)) | (~greater(age(A, B), tau)))) | (~robust_position(sk3)) | positional_advantage(sk3, sk5) | (~greater(age(sk3, sk5), tau)))),
% 0.21/0.57 inference(rewrite,[status(thm)],[])).
% 0.21/0.57 tff(258,plain,
% 0.21/0.57 ((positional_advantage(sk3, sk5) | (~robust_position(sk3)) | (~greater(age(sk3, sk5), tau))) <=> ((~robust_position(sk3)) | positional_advantage(sk3, sk5) | (~greater(age(sk3, sk5), tau)))),
% 0.21/0.57 inference(rewrite,[status(thm)],[])).
% 0.21/0.57 tff(259,plain,
% 0.21/0.57 (((~![B: $i, A: $i] : (positional_advantage(A, B) | (~robust_position(A)) | (~greater(age(A, B), tau)))) | (positional_advantage(sk3, sk5) | (~robust_position(sk3)) | (~greater(age(sk3, sk5), tau)))) <=> ((~![B: $i, A: $i] : (positional_advantage(A, B) | (~robust_position(A)) | (~greater(age(A, B), tau)))) | ((~robust_position(sk3)) | positional_advantage(sk3, sk5) | (~greater(age(sk3, sk5), tau))))),
% 0.21/0.57 inference(monotonicity,[status(thm)],[258])).
% 0.21/0.57 tff(260,plain,
% 0.21/0.57 (((~![B: $i, A: $i] : (positional_advantage(A, B) | (~robust_position(A)) | (~greater(age(A, B), tau)))) | (positional_advantage(sk3, sk5) | (~robust_position(sk3)) | (~greater(age(sk3, sk5), tau)))) <=> ((~![B: $i, A: $i] : (positional_advantage(A, B) | (~robust_position(A)) | (~greater(age(A, B), tau)))) | (~robust_position(sk3)) | positional_advantage(sk3, sk5) | (~greater(age(sk3, sk5), tau)))),
% 0.21/0.57 inference(transitivity,[status(thm)],[259, 257])).
% 0.21/0.57 tff(261,plain,
% 0.21/0.57 ((~![B: $i, A: $i] : (positional_advantage(A, B) | (~robust_position(A)) | (~greater(age(A, B), tau)))) | (positional_advantage(sk3, sk5) | (~robust_position(sk3)) | (~greater(age(sk3, sk5), tau)))),
% 0.21/0.57 inference(quant_inst,[status(thm)],[])).
% 0.21/0.57 tff(262,plain,
% 0.21/0.57 ((~![B: $i, A: $i] : (positional_advantage(A, B) | (~robust_position(A)) | (~greater(age(A, B), tau)))) | (~robust_position(sk3)) | positional_advantage(sk3, sk5) | (~greater(age(sk3, sk5), tau))),
% 0.21/0.57 inference(modus_ponens,[status(thm)],[261, 260])).
% 0.21/0.57 tff(263,plain,
% 0.21/0.57 (positional_advantage(sk3, sk5) | (~greater(age(sk3, sk5), tau))),
% 0.21/0.57 inference(unit_resolution,[status(thm)],[262, 125, 115])).
% 0.21/0.57 tff(264,plain,
% 0.21/0.57 (~greater(age(sk3, sk5), tau)),
% 0.21/0.57 inference(unit_resolution,[status(thm)],[263, 256])).
% 0.21/0.57 tff(265,plain,
% 0.21/0.57 (((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | ((~greater(sigma, tau)) | greater(age(sk3, sk5), tau) | (~greater(age(sk3, sk5), sigma)))) <=> ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (~greater(sigma, tau)) | greater(age(sk3, sk5), tau) | (~greater(age(sk3, sk5), sigma)))),
% 0.21/0.57 inference(rewrite,[status(thm)],[])).
% 0.21/0.57 tff(266,plain,
% 0.21/0.57 ((greater(age(sk3, sk5), tau) | (~greater(sigma, tau)) | (~greater(age(sk3, sk5), sigma))) <=> ((~greater(sigma, tau)) | greater(age(sk3, sk5), tau) | (~greater(age(sk3, sk5), sigma)))),
% 0.21/0.57 inference(rewrite,[status(thm)],[])).
% 0.21/0.57 tff(267,plain,
% 0.21/0.57 (((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(age(sk3, sk5), tau) | (~greater(sigma, tau)) | (~greater(age(sk3, sk5), sigma)))) <=> ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | ((~greater(sigma, tau)) | greater(age(sk3, sk5), tau) | (~greater(age(sk3, sk5), sigma))))),
% 0.21/0.57 inference(monotonicity,[status(thm)],[266])).
% 0.21/0.57 tff(268,plain,
% 0.21/0.57 (((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(age(sk3, sk5), tau) | (~greater(sigma, tau)) | (~greater(age(sk3, sk5), sigma)))) <=> ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (~greater(sigma, tau)) | greater(age(sk3, sk5), tau) | (~greater(age(sk3, sk5), sigma)))),
% 0.21/0.57 inference(transitivity,[status(thm)],[267, 265])).
% 0.21/0.57 tff(269,plain,
% 0.21/0.57 ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(age(sk3, sk5), tau) | (~greater(sigma, tau)) | (~greater(age(sk3, sk5), sigma)))),
% 0.21/0.57 inference(quant_inst,[status(thm)],[])).
% 0.21/0.57 tff(270,plain,
% 0.21/0.57 ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (~greater(sigma, tau)) | greater(age(sk3, sk5), tau) | (~greater(age(sk3, sk5), sigma))),
% 0.21/0.57 inference(modus_ponens,[status(thm)],[269, 268])).
% 0.21/0.57 tff(271,plain,
% 0.21/0.57 ($false),
% 0.21/0.57 inference(unit_resolution,[status(thm)],[270, 105, 96, 264, 246])).
% 0.21/0.57 tff(272,plain,(~greater(age(sk3, sk5), sigma)), inference(lemma,lemma(discharge,[]))).
% 0.21/0.57 tff(273,assumption,(dissimilar(sk3, sk4, sk5)), introduced(assumption)).
% 0.21/0.57 tff(274,plain,
% 0.21/0.57 (^[B: $i, A: $i, C: $i] : refl(((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = age(sk3, sk4)))) <=> ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = age(sk3, sk4)))))),
% 0.21/0.57 inference(bind,[status(th)],[])).
% 0.21/0.57 tff(275,plain,
% 0.21/0.57 (![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = age(sk3, sk4)))) <=> ![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = age(sk3, sk4))))),
% 0.21/0.57 inference(quant_intro,[status(thm)],[274])).
% 0.21/0.57 tff(276,plain,
% 0.21/0.57 (^[B: $i, A: $i, C: $i] : trans(monotonicity(rewrite((~(age(A, B) = zero)) <=> (~(age(A, B) = age(sk3, sk4)))), (((~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) = age(sk3, sk4)))))), rewrite(((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = age(sk3, sk4)))) <=> ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = age(sk3, sk4))))), (((~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) = age(sk3, sk4))))))),
% 0.21/0.57 inference(bind,[status(th)],[])).
% 0.21/0.57 tff(277,plain,
% 0.21/0.57 (![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) = age(sk3, sk4))))),
% 0.21/0.58 inference(quant_intro,[status(thm)],[276])).
% 0.21/0.58 tff(278,plain,
% 0.21/0.58 (![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)))),
% 0.21/0.58 inference(rewrite,[status(thm)],[])).
% 0.21/0.58 tff(279,plain,
% 0.21/0.58 (^[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)))))),
% 0.21/0.58 inference(bind,[status(th)],[])).
% 0.21/0.58 tff(280,plain,
% 0.21/0.58 (![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)))),
% 0.21/0.58 inference(quant_intro,[status(thm)],[279])).
% 0.21/0.58 tff(281,axiom,(![B: $i, A: $i, C: $i] : ((((~organization(A)) | (~(age(A, B) = zero))) | (~dissimilar(A, B, C))) | greater(age(A, C), sigma))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','assumption_15_56')).
% 0.21/0.58 tff(282,plain,
% 0.21/0.58 (![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = zero)))),
% 0.21/0.58 inference(modus_ponens,[status(thm)],[281, 280])).
% 0.21/0.58 tff(283,plain,
% 0.21/0.58 (![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = zero)))),
% 0.21/0.58 inference(modus_ponens,[status(thm)],[282, 278])).
% 0.21/0.58 tff(284,plain,
% 0.21/0.58 (![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = age(sk3, sk4))))),
% 0.21/0.58 inference(modus_ponens,[status(thm)],[283, 277])).
% 0.21/0.58 tff(285,plain,(
% 0.21/0.58 ![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = age(sk3, sk4))))),
% 0.21/0.58 inference(skolemize,[status(sab)],[284])).
% 0.21/0.58 tff(286,plain,
% 0.21/0.58 (![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = age(sk3, sk4))))),
% 0.21/0.58 inference(modus_ponens,[status(thm)],[285, 275])).
% 0.21/0.58 tff(287,plain,
% 0.21/0.58 (((~![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = age(sk3, sk4))))) | ((~organization(sk3)) | 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) = age(sk3, sk4))))) | (~organization(sk3)) | greater(age(sk3, sk5), sigma) | (~dissimilar(sk3, sk4, sk5)))),
% 0.21/0.58 inference(rewrite,[status(thm)],[])).
% 0.21/0.58 tff(288,plain,
% 0.21/0.58 (((~dissimilar(sk3, sk4, sk5)) | (~organization(sk3)) | greater(age(sk3, sk5), sigma) | $false) <=> ((~organization(sk3)) | greater(age(sk3, sk5), sigma) | (~dissimilar(sk3, sk4, sk5)))),
% 0.21/0.58 inference(rewrite,[status(thm)],[])).
% 0.21/0.58 tff(289,plain,
% 0.21/0.58 (((~dissimilar(sk3, sk4, sk5)) | (~organization(sk3)) | greater(age(sk3, sk5), sigma) | (~(age(sk3, sk4) = age(sk3, sk4)))) <=> ((~dissimilar(sk3, sk4, sk5)) | (~organization(sk3)) | greater(age(sk3, sk5), sigma) | $false)),
% 0.21/0.58 inference(monotonicity,[status(thm)],[47])).
% 0.21/0.58 tff(290,plain,
% 0.21/0.58 (((~dissimilar(sk3, sk4, sk5)) | (~organization(sk3)) | greater(age(sk3, sk5), sigma) | (~(age(sk3, sk4) = age(sk3, sk4)))) <=> ((~organization(sk3)) | greater(age(sk3, sk5), sigma) | (~dissimilar(sk3, sk4, sk5)))),
% 0.21/0.58 inference(transitivity,[status(thm)],[289, 288])).
% 0.21/0.58 tff(291,plain,
% 0.21/0.58 (((~![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = age(sk3, sk4))))) | ((~dissimilar(sk3, sk4, sk5)) | (~organization(sk3)) | greater(age(sk3, sk5), sigma) | (~(age(sk3, sk4) = age(sk3, sk4))))) <=> ((~![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = age(sk3, sk4))))) | ((~organization(sk3)) | greater(age(sk3, sk5), sigma) | (~dissimilar(sk3, sk4, sk5))))),
% 0.21/0.58 inference(monotonicity,[status(thm)],[290])).
% 0.21/0.58 tff(292,plain,
% 0.21/0.58 (((~![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = age(sk3, sk4))))) | ((~dissimilar(sk3, sk4, sk5)) | (~organization(sk3)) | greater(age(sk3, sk5), sigma) | (~(age(sk3, sk4) = age(sk3, sk4))))) <=> ((~![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = age(sk3, sk4))))) | (~organization(sk3)) | greater(age(sk3, sk5), sigma) | (~dissimilar(sk3, sk4, sk5)))),
% 0.21/0.58 inference(transitivity,[status(thm)],[291, 287])).
% 0.21/0.58 tff(293,plain,
% 0.21/0.58 ((~![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = age(sk3, sk4))))) | ((~dissimilar(sk3, sk4, sk5)) | (~organization(sk3)) | greater(age(sk3, sk5), sigma) | (~(age(sk3, sk4) = age(sk3, sk4))))),
% 0.21/0.58 inference(quant_inst,[status(thm)],[])).
% 0.21/0.58 tff(294,plain,
% 0.21/0.58 ((~![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = age(sk3, sk4))))) | (~organization(sk3)) | greater(age(sk3, sk5), sigma) | (~dissimilar(sk3, sk4, sk5))),
% 0.21/0.58 inference(modus_ponens,[status(thm)],[293, 292])).
% 0.21/0.58 tff(295,plain,
% 0.21/0.58 ($false),
% 0.21/0.58 inference(unit_resolution,[status(thm)],[294, 286, 7, 273, 272])).
% 0.21/0.58 tff(296,plain,(~dissimilar(sk3, sk4, sk5)), inference(lemma,lemma(discharge,[]))).
% 0.21/0.58 tff(297,plain,
% 0.21/0.58 (^[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))))),
% 0.21/0.58 inference(bind,[status(th)],[])).
% 0.21/0.58 tff(298,plain,
% 0.21/0.58 (![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)))),
% 0.21/0.58 inference(quant_intro,[status(thm)],[297])).
% 0.21/0.58 tff(299,plain,
% 0.21/0.58 (![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)))),
% 0.21/0.58 inference(rewrite,[status(thm)],[])).
% 0.21/0.58 tff(300,plain,
% 0.21/0.58 (^[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)))))),
% 0.21/0.58 inference(bind,[status(th)],[])).
% 0.21/0.58 tff(301,plain,
% 0.21/0.58 (![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)))),
% 0.21/0.58 inference(quant_intro,[status(thm)],[300])).
% 0.21/0.58 tff(302,axiom,(![B: $i, A: $i, C: $i] : ((((~organization(A)) | (~is_aligned(A, B))) | is_aligned(A, C)) | dissimilar(A, B, C))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','definition_2_51')).
% 0.21/0.58 tff(303,plain,
% 0.21/0.58 (![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | is_aligned(A, C) | (~is_aligned(A, B)) | (~organization(A)))),
% 0.21/0.58 inference(modus_ponens,[status(thm)],[302, 301])).
% 0.21/0.58 tff(304,plain,
% 0.21/0.58 (![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | is_aligned(A, C) | (~is_aligned(A, B)) | (~organization(A)))),
% 0.21/0.58 inference(modus_ponens,[status(thm)],[303, 299])).
% 0.21/0.58 tff(305,plain,(
% 0.21/0.58 ![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | is_aligned(A, C) | (~is_aligned(A, B)) | (~organization(A)))),
% 0.21/0.58 inference(skolemize,[status(sab)],[304])).
% 0.21/0.58 tff(306,plain,
% 0.21/0.58 (![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | is_aligned(A, C) | (~is_aligned(A, B)) | (~organization(A)))),
% 0.21/0.58 inference(modus_ponens,[status(thm)],[305, 298])).
% 0.21/0.58 tff(307,plain,
% 0.21/0.58 (((~![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))),
% 0.21/0.58 inference(rewrite,[status(thm)],[])).
% 0.21/0.58 tff(308,plain,
% 0.21/0.58 ((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))),
% 0.21/0.58 inference(rewrite,[status(thm)],[])).
% 0.21/0.58 tff(309,plain,
% 0.21/0.58 (((~![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)))),
% 0.21/0.58 inference(monotonicity,[status(thm)],[308])).
% 0.21/0.58 tff(310,plain,
% 0.21/0.58 (((~![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))),
% 0.21/0.58 inference(transitivity,[status(thm)],[309, 307])).
% 0.21/0.58 tff(311,plain,
% 0.21/0.58 ((~![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)))),
% 0.21/0.58 inference(quant_inst,[status(thm)],[])).
% 0.21/0.58 tff(312,plain,
% 0.21/0.58 ((~![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)),
% 0.21/0.58 inference(modus_ponens,[status(thm)],[311, 310])).
% 0.21/0.58 tff(313,plain,
% 0.21/0.58 (is_aligned(sk3, sk5) | dissimilar(sk3, sk4, sk5)),
% 0.21/0.58 inference(unit_resolution,[status(thm)],[312, 306, 7, 76])).
% 0.21/0.58 tff(314,plain,
% 0.21/0.58 (is_aligned(sk3, sk5)),
% 0.21/0.58 inference(unit_resolution,[status(thm)],[313, 296])).
% 0.21/0.58 tff(315,assumption,(has_immunity(sk3, sk5)), introduced(assumption)).
% 0.21/0.58 tff(316,plain,
% 0.21/0.58 (((~![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)))),
% 0.21/0.58 inference(rewrite,[status(thm)],[])).
% 0.21/0.58 tff(317,plain,
% 0.21/0.58 ((has_endowment(sk3) | (~has_immunity(sk3, sk5)) | (~organization(sk3))) <=> (has_endowment(sk3) | (~organization(sk3)) | (~has_immunity(sk3, sk5)))),
% 0.21/0.58 inference(rewrite,[status(thm)],[])).
% 0.21/0.58 tff(318,plain,
% 0.21/0.58 (((~![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))))),
% 0.21/0.58 inference(monotonicity,[status(thm)],[317])).
% 0.21/0.58 tff(319,plain,
% 0.21/0.58 (((~![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)))),
% 0.21/0.58 inference(transitivity,[status(thm)],[318, 316])).
% 0.21/0.58 tff(320,plain,
% 0.21/0.58 ((~![B: $i, A: $i] : (has_endowment(A) | (~has_immunity(A, B)) | (~organization(A)))) | (has_endowment(sk3) | (~has_immunity(sk3, sk5)) | (~organization(sk3)))),
% 0.21/0.58 inference(quant_inst,[status(thm)],[])).
% 0.21/0.58 tff(321,plain,
% 0.21/0.58 ((~![B: $i, A: $i] : (has_endowment(A) | (~has_immunity(A, B)) | (~organization(A)))) | has_endowment(sk3) | (~organization(sk3)) | (~has_immunity(sk3, sk5))),
% 0.21/0.58 inference(modus_ponens,[status(thm)],[320, 319])).
% 0.21/0.58 tff(322,plain,
% 0.21/0.58 ($false),
% 0.21/0.58 inference(unit_resolution,[status(thm)],[321, 17, 7, 4, 315])).
% 0.21/0.58 tff(323,plain,(~has_immunity(sk3, sk5)), inference(lemma,lemma(discharge,[]))).
% 0.21/0.58 tff(324,plain,
% 0.21/0.58 (((~![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))),
% 0.21/0.58 inference(rewrite,[status(thm)],[])).
% 0.21/0.58 tff(325,plain,
% 0.21/0.58 ((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))),
% 0.21/0.58 inference(rewrite,[status(thm)],[])).
% 0.21/0.58 tff(326,plain,
% 0.21/0.58 (((~![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)))),
% 0.21/0.58 inference(monotonicity,[status(thm)],[325])).
% 0.21/0.58 tff(327,plain,
% 0.21/0.58 (((~![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))),
% 0.21/0.58 inference(transitivity,[status(thm)],[326, 324])).
% 0.21/0.58 tff(328,plain,
% 0.21/0.58 ((~![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))),
% 0.21/0.58 inference(quant_inst,[status(thm)],[])).
% 0.21/0.58 tff(329,plain,
% 0.21/0.58 ((~![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)),
% 0.21/0.58 inference(modus_ponens,[status(thm)],[328, 327])).
% 0.21/0.58 tff(330,plain,
% 0.21/0.58 (has_immunity(sk3, sk5) | (~is_aligned(sk3, sk5)) | (hazard_of_mortality(sk3, sk5) = mod2)),
% 0.21/0.58 inference(unit_resolution,[status(thm)],[329, 234, 7, 256])).
% 0.21/0.58 tff(331,plain,
% 0.21/0.58 ((~is_aligned(sk3, sk5)) | (hazard_of_mortality(sk3, sk5) = mod2)),
% 0.21/0.58 inference(unit_resolution,[status(thm)],[330, 323])).
% 0.21/0.58 tff(332,plain,
% 0.21/0.58 (hazard_of_mortality(sk3, sk5) = mod2),
% 0.21/0.58 inference(unit_resolution,[status(thm)],[331, 314])).
% 0.21/0.58 tff(333,plain,
% 0.21/0.58 (hazard_of_mortality(sk3, sk5) = hazard_of_mortality(sk3, sk4)),
% 0.21/0.58 inference(modus_ponens,[status(thm)],[332, 245])).
% 0.21/0.58 tff(334,assumption,(~smaller(hazard_of_mortality(sk3, sk7), hazard_of_mortality(sk3, sk5))), introduced(assumption)).
% 0.21/0.58 tff(335,assumption,(hazard_of_mortality(sk3, sk5) = mod2), introduced(assumption)).
% 0.21/0.58 tff(336,assumption,(hazard_of_mortality(sk3, sk7) = very_low), introduced(assumption)).
% 0.21/0.58 tff(337,plain,
% 0.21/0.58 (smaller(hazard_of_mortality(sk3, sk7), hazard_of_mortality(sk3, sk5)) <=> smaller(very_low, mod2)),
% 0.21/0.58 inference(monotonicity,[status(thm)],[336, 335])).
% 0.21/0.58 tff(338,plain,
% 0.21/0.58 (smaller(very_low, mod2) <=> smaller(hazard_of_mortality(sk3, sk7), hazard_of_mortality(sk3, sk5))),
% 0.21/0.58 inference(symmetry,[status(thm)],[337])).
% 0.21/0.58 tff(339,plain,
% 0.21/0.58 (greater(mod2, low) <=> greater(mod2, low)),
% 0.21/0.58 inference(rewrite,[status(thm)],[])).
% 0.21/0.58 tff(340,axiom,(greater(mod2, low)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','assumption_18e_72')).
% 0.21/0.58 tff(341,plain,
% 0.21/0.58 (greater(mod2, low)),
% 0.21/0.58 inference(modus_ponens,[status(thm)],[340, 339])).
% 0.21/0.58 tff(342,plain,
% 0.21/0.58 (((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | ((~greater(low, very_low)) | greater(mod2, very_low) | (~greater(mod2, low)))) <=> ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (~greater(low, very_low)) | greater(mod2, very_low) | (~greater(mod2, low)))),
% 0.21/0.58 inference(rewrite,[status(thm)],[])).
% 0.21/0.58 tff(343,plain,
% 0.21/0.58 ((greater(mod2, very_low) | (~greater(low, very_low)) | (~greater(mod2, low))) <=> ((~greater(low, very_low)) | greater(mod2, very_low) | (~greater(mod2, low)))),
% 0.21/0.58 inference(rewrite,[status(thm)],[])).
% 0.21/0.58 tff(344,plain,
% 0.21/0.58 (((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(mod2, very_low) | (~greater(low, very_low)) | (~greater(mod2, low)))) <=> ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | ((~greater(low, very_low)) | greater(mod2, very_low) | (~greater(mod2, low))))),
% 0.21/0.58 inference(monotonicity,[status(thm)],[343])).
% 0.21/0.58 tff(345,plain,
% 0.21/0.58 (((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(mod2, very_low) | (~greater(low, very_low)) | (~greater(mod2, low)))) <=> ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (~greater(low, very_low)) | greater(mod2, very_low) | (~greater(mod2, low)))),
% 0.21/0.58 inference(transitivity,[status(thm)],[344, 342])).
% 0.21/0.58 tff(346,plain,
% 0.21/0.58 ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(mod2, very_low) | (~greater(low, very_low)) | (~greater(mod2, low)))),
% 0.21/0.58 inference(quant_inst,[status(thm)],[])).
% 0.21/0.58 tff(347,plain,
% 0.21/0.58 ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (~greater(low, very_low)) | greater(mod2, very_low) | (~greater(mod2, low))),
% 0.21/0.58 inference(modus_ponens,[status(thm)],[346, 345])).
% 0.21/0.58 tff(348,plain,
% 0.21/0.58 (greater(mod2, very_low)),
% 0.21/0.58 inference(unit_resolution,[status(thm)],[347, 105, 158, 341])).
% 0.21/0.58 tff(349,plain,
% 0.21/0.58 (((~![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))) | ((~greater(mod2, very_low)) | smaller(very_low, mod2))) <=> ((~![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))) | (~greater(mod2, very_low)) | smaller(very_low, mod2))),
% 0.21/0.58 inference(rewrite,[status(thm)],[])).
% 0.21/0.58 tff(350,plain,
% 0.21/0.58 ((~![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))) | ((~greater(mod2, very_low)) | smaller(very_low, mod2))),
% 0.21/0.58 inference(quant_inst,[status(thm)],[])).
% 0.21/0.58 tff(351,plain,
% 0.21/0.58 ((~![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))) | (~greater(mod2, very_low)) | smaller(very_low, mod2)),
% 0.21/0.58 inference(modus_ponens,[status(thm)],[350, 349])).
% 0.21/0.58 tff(352,plain,
% 0.21/0.58 (smaller(very_low, mod2)),
% 0.21/0.58 inference(unit_resolution,[status(thm)],[351, 175, 348])).
% 0.21/0.58 tff(353,plain,
% 0.21/0.58 (smaller(hazard_of_mortality(sk3, sk7), hazard_of_mortality(sk3, sk5))),
% 0.21/0.58 inference(modus_ponens,[status(thm)],[352, 338])).
% 0.21/0.58 tff(354,plain,
% 0.21/0.58 ($false),
% 0.21/0.58 inference(unit_resolution,[status(thm)],[334, 353])).
% 0.21/0.58 tff(355,plain,((~(hazard_of_mortality(sk3, sk7) = very_low)) | smaller(hazard_of_mortality(sk3, sk7), hazard_of_mortality(sk3, sk5)) | (~(hazard_of_mortality(sk3, sk5) = mod2))), inference(lemma,lemma(discharge,[]))).
% 0.21/0.58 tff(356,plain,
% 0.21/0.58 (~(hazard_of_mortality(sk3, sk7) = very_low)),
% 0.21/0.58 inference(unit_resolution,[status(thm)],[355, 335, 334])).
% 0.21/0.58 tff(357,plain,
% 0.21/0.58 (^[B: $i, A: $i] : refl(((~has_immunity(A, B)) | (~organization(A)) | (hazard_of_mortality(A, B) = very_low)) <=> ((~has_immunity(A, B)) | (~organization(A)) | (hazard_of_mortality(A, B) = very_low)))),
% 0.21/0.58 inference(bind,[status(th)],[])).
% 0.21/0.58 tff(358,plain,
% 0.21/0.58 (![B: $i, A: $i] : ((~has_immunity(A, B)) | (~organization(A)) | (hazard_of_mortality(A, B) = very_low)) <=> ![B: $i, A: $i] : ((~has_immunity(A, B)) | (~organization(A)) | (hazard_of_mortality(A, B) = very_low))),
% 0.21/0.58 inference(quant_intro,[status(thm)],[357])).
% 0.21/0.58 tff(359,plain,
% 0.21/0.58 (![B: $i, A: $i] : ((~has_immunity(A, B)) | (~organization(A)) | (hazard_of_mortality(A, B) = very_low)) <=> ![B: $i, A: $i] : ((~has_immunity(A, B)) | (~organization(A)) | (hazard_of_mortality(A, B) = very_low))),
% 0.21/0.59 inference(rewrite,[status(thm)],[])).
% 0.21/0.59 tff(360,plain,
% 0.21/0.59 (^[B: $i, A: $i] : rewrite((((~organization(A)) | (~has_immunity(A, B))) | (hazard_of_mortality(A, B) = very_low)) <=> ((~has_immunity(A, B)) | (~organization(A)) | (hazard_of_mortality(A, B) = very_low)))),
% 0.21/0.59 inference(bind,[status(th)],[])).
% 0.21/0.59 tff(361,plain,
% 0.21/0.59 (![B: $i, A: $i] : (((~organization(A)) | (~has_immunity(A, B))) | (hazard_of_mortality(A, B) = very_low)) <=> ![B: $i, A: $i] : ((~has_immunity(A, B)) | (~organization(A)) | (hazard_of_mortality(A, B) = very_low))),
% 0.21/0.59 inference(quant_intro,[status(thm)],[360])).
% 0.21/0.59 tff(362,axiom,(![B: $i, A: $i] : (((~organization(A)) | (~has_immunity(A, B))) | (hazard_of_mortality(A, B) = very_low))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','assumption_17_63')).
% 0.21/0.59 tff(363,plain,
% 0.21/0.59 (![B: $i, A: $i] : ((~has_immunity(A, B)) | (~organization(A)) | (hazard_of_mortality(A, B) = very_low))),
% 0.21/0.59 inference(modus_ponens,[status(thm)],[362, 361])).
% 0.21/0.59 tff(364,plain,
% 0.21/0.59 (![B: $i, A: $i] : ((~has_immunity(A, B)) | (~organization(A)) | (hazard_of_mortality(A, B) = very_low))),
% 0.21/0.59 inference(modus_ponens,[status(thm)],[363, 359])).
% 0.21/0.59 tff(365,plain,(
% 0.21/0.59 ![B: $i, A: $i] : ((~has_immunity(A, B)) | (~organization(A)) | (hazard_of_mortality(A, B) = very_low))),
% 0.21/0.59 inference(skolemize,[status(sab)],[364])).
% 0.21/0.59 tff(366,plain,
% 0.21/0.59 (![B: $i, A: $i] : ((~has_immunity(A, B)) | (~organization(A)) | (hazard_of_mortality(A, B) = very_low))),
% 0.21/0.59 inference(modus_ponens,[status(thm)],[365, 358])).
% 0.21/0.59 tff(367,plain,
% 0.21/0.59 (((~![B: $i, A: $i] : ((~has_immunity(A, B)) | (~organization(A)) | (hazard_of_mortality(A, B) = very_low))) | ((~organization(sk3)) | (~has_immunity(sk3, sk7)) | (hazard_of_mortality(sk3, sk7) = very_low))) <=> ((~![B: $i, A: $i] : ((~has_immunity(A, B)) | (~organization(A)) | (hazard_of_mortality(A, B) = very_low))) | (~organization(sk3)) | (~has_immunity(sk3, sk7)) | (hazard_of_mortality(sk3, sk7) = very_low))),
% 0.21/0.59 inference(rewrite,[status(thm)],[])).
% 0.21/0.59 tff(368,plain,
% 0.21/0.59 (((~has_immunity(sk3, sk7)) | (~organization(sk3)) | (hazard_of_mortality(sk3, sk7) = very_low)) <=> ((~organization(sk3)) | (~has_immunity(sk3, sk7)) | (hazard_of_mortality(sk3, sk7) = very_low))),
% 0.21/0.59 inference(rewrite,[status(thm)],[])).
% 0.21/0.59 tff(369,plain,
% 0.21/0.59 (((~![B: $i, A: $i] : ((~has_immunity(A, B)) | (~organization(A)) | (hazard_of_mortality(A, B) = very_low))) | ((~has_immunity(sk3, sk7)) | (~organization(sk3)) | (hazard_of_mortality(sk3, sk7) = very_low))) <=> ((~![B: $i, A: $i] : ((~has_immunity(A, B)) | (~organization(A)) | (hazard_of_mortality(A, B) = very_low))) | ((~organization(sk3)) | (~has_immunity(sk3, sk7)) | (hazard_of_mortality(sk3, sk7) = very_low)))),
% 0.21/0.59 inference(monotonicity,[status(thm)],[368])).
% 0.21/0.59 tff(370,plain,
% 0.21/0.59 (((~![B: $i, A: $i] : ((~has_immunity(A, B)) | (~organization(A)) | (hazard_of_mortality(A, B) = very_low))) | ((~has_immunity(sk3, sk7)) | (~organization(sk3)) | (hazard_of_mortality(sk3, sk7) = very_low))) <=> ((~![B: $i, A: $i] : ((~has_immunity(A, B)) | (~organization(A)) | (hazard_of_mortality(A, B) = very_low))) | (~organization(sk3)) | (~has_immunity(sk3, sk7)) | (hazard_of_mortality(sk3, sk7) = very_low))),
% 0.21/0.59 inference(transitivity,[status(thm)],[369, 367])).
% 0.21/0.59 tff(371,plain,
% 0.21/0.59 ((~![B: $i, A: $i] : ((~has_immunity(A, B)) | (~organization(A)) | (hazard_of_mortality(A, B) = very_low))) | ((~has_immunity(sk3, sk7)) | (~organization(sk3)) | (hazard_of_mortality(sk3, sk7) = very_low))),
% 0.21/0.59 inference(quant_inst,[status(thm)],[])).
% 0.21/0.59 tff(372,plain,
% 0.21/0.59 ((~![B: $i, A: $i] : ((~has_immunity(A, B)) | (~organization(A)) | (hazard_of_mortality(A, B) = very_low))) | (~organization(sk3)) | (~has_immunity(sk3, sk7)) | (hazard_of_mortality(sk3, sk7) = very_low)),
% 0.21/0.59 inference(modus_ponens,[status(thm)],[371, 370])).
% 0.21/0.59 tff(373,plain,
% 0.21/0.59 ((~has_immunity(sk3, sk7)) | (hazard_of_mortality(sk3, sk7) = very_low)),
% 0.21/0.59 inference(unit_resolution,[status(thm)],[372, 366, 7])).
% 0.21/0.59 tff(374,plain,
% 0.21/0.59 (~has_immunity(sk3, sk7)),
% 0.21/0.59 inference(unit_resolution,[status(thm)],[373, 356])).
% 0.21/0.59 tff(375,plain,
% 0.21/0.59 (smaller(hazard_of_mortality(sk3, sk7), hazard_of_mortality(sk3, sk5)) <=> smaller(mod1, mod2)),
% 0.21/0.59 inference(monotonicity,[status(thm)],[152, 335])).
% 0.21/0.59 tff(376,plain,
% 0.21/0.59 (smaller(mod1, mod2) <=> smaller(hazard_of_mortality(sk3, sk7), hazard_of_mortality(sk3, sk5))),
% 0.21/0.59 inference(symmetry,[status(thm)],[375])).
% 0.21/0.59 tff(377,plain,
% 0.21/0.59 (greater(mod2, mod1) <=> greater(mod2, mod1)),
% 0.21/0.59 inference(rewrite,[status(thm)],[])).
% 0.21/0.59 tff(378,axiom,(greater(mod2, mod1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','assumption_19_73')).
% 0.21/0.59 tff(379,plain,
% 0.21/0.59 (greater(mod2, mod1)),
% 0.21/0.59 inference(modus_ponens,[status(thm)],[378, 377])).
% 0.21/0.59 tff(380,plain,
% 0.21/0.59 (((~![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))),
% 0.21/0.59 inference(rewrite,[status(thm)],[])).
% 0.21/0.59 tff(381,plain,
% 0.21/0.59 ((~![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))) | ((~greater(mod2, mod1)) | smaller(mod1, mod2))),
% 0.21/0.59 inference(quant_inst,[status(thm)],[])).
% 0.21/0.59 tff(382,plain,
% 0.21/0.59 ((~![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))) | (~greater(mod2, mod1)) | smaller(mod1, mod2)),
% 0.21/0.59 inference(modus_ponens,[status(thm)],[381, 380])).
% 0.21/0.59 tff(383,plain,
% 0.21/0.59 (smaller(mod1, mod2)),
% 0.21/0.59 inference(unit_resolution,[status(thm)],[382, 175, 379])).
% 0.21/0.59 tff(384,plain,
% 0.21/0.59 (smaller(hazard_of_mortality(sk3, sk7), hazard_of_mortality(sk3, sk5))),
% 0.21/0.59 inference(modus_ponens,[status(thm)],[383, 376])).
% 0.21/0.59 tff(385,plain,
% 0.21/0.59 ($false),
% 0.21/0.59 inference(unit_resolution,[status(thm)],[334, 384])).
% 0.21/0.59 tff(386,plain,((~(hazard_of_mortality(sk3, sk7) = mod1)) | smaller(hazard_of_mortality(sk3, sk7), hazard_of_mortality(sk3, sk5)) | (~(hazard_of_mortality(sk3, sk5) = mod2))), inference(lemma,lemma(discharge,[]))).
% 0.21/0.59 tff(387,plain,
% 0.21/0.59 (~(hazard_of_mortality(sk3, sk7) = mod1)),
% 0.21/0.59 inference(unit_resolution,[status(thm)],[386, 335, 334])).
% 0.21/0.59 tff(388,plain,
% 0.21/0.59 (is_aligned(sk3, sk7)),
% 0.21/0.59 inference(unit_resolution,[status(thm)],[149, 387, 374])).
% 0.21/0.59 tff(389,plain,
% 0.21/0.59 (^[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))))),
% 0.21/0.59 inference(bind,[status(th)],[])).
% 0.21/0.59 tff(390,plain,
% 0.21/0.59 (![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)))),
% 0.21/0.59 inference(quant_intro,[status(thm)],[389])).
% 0.21/0.59 tff(391,plain,
% 0.21/0.59 (![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)))),
% 0.21/0.59 inference(rewrite,[status(thm)],[])).
% 0.21/0.59 tff(392,plain,
% 0.21/0.59 (^[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)))))),
% 0.21/0.59 inference(bind,[status(th)],[])).
% 0.21/0.59 tff(393,plain,
% 0.21/0.59 (![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)))),
% 0.21/0.59 inference(quant_intro,[status(thm)],[392])).
% 0.21/0.59 tff(394,axiom,(![B: $i, A: $i] : (((((~organization(A)) | has_immunity(A, B)) | (~is_aligned(A, B))) | (~positional_advantage(A, B))) | (hazard_of_mortality(A, B) = low))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','assumption_17_64')).
% 0.21/0.59 tff(395,plain,
% 0.21/0.59 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = low) | (~is_aligned(A, B)))),
% 0.21/0.59 inference(modus_ponens,[status(thm)],[394, 393])).
% 0.21/0.59 tff(396,plain,
% 0.21/0.59 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = low) | (~is_aligned(A, B)))),
% 0.21/0.59 inference(modus_ponens,[status(thm)],[395, 391])).
% 0.21/0.59 tff(397,plain,(
% 0.21/0.59 ![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = low) | (~is_aligned(A, B)))),
% 0.21/0.60 inference(skolemize,[status(sab)],[396])).
% 0.21/0.60 tff(398,plain,
% 0.21/0.60 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = low) | (~is_aligned(A, B)))),
% 0.21/0.60 inference(modus_ponens,[status(thm)],[397, 390])).
% 0.21/0.60 tff(399,plain,
% 0.21/0.60 (((~![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)))),
% 0.21/0.60 inference(rewrite,[status(thm)],[])).
% 0.21/0.60 tff(400,plain,
% 0.21/0.60 ((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)))),
% 0.21/0.60 inference(rewrite,[status(thm)],[])).
% 0.21/0.60 tff(401,plain,
% 0.21/0.60 (((~![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))))),
% 0.21/0.60 inference(monotonicity,[status(thm)],[400])).
% 0.21/0.60 tff(402,plain,
% 0.21/0.60 (((~![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)))),
% 0.21/0.60 inference(transitivity,[status(thm)],[401, 399])).
% 0.21/0.60 tff(403,plain,
% 0.21/0.60 ((~![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)))),
% 0.21/0.60 inference(quant_inst,[status(thm)],[])).
% 0.21/0.60 tff(404,plain,
% 0.21/0.60 ((~![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))),
% 0.21/0.60 inference(modus_ponens,[status(thm)],[403, 402])).
% 0.21/0.60 tff(405,plain,
% 0.21/0.60 (has_immunity(sk3, sk7) | (hazard_of_mortality(sk3, sk7) = low) | (~is_aligned(sk3, sk7))),
% 0.21/0.60 inference(unit_resolution,[status(thm)],[404, 398, 7, 132])).
% 0.21/0.60 tff(406,plain,
% 0.21/0.60 (hazard_of_mortality(sk3, sk7) = low),
% 0.21/0.60 inference(unit_resolution,[status(thm)],[405, 388, 374])).
% 0.21/0.60 tff(407,plain,
% 0.21/0.60 (smaller(hazard_of_mortality(sk3, sk7), hazard_of_mortality(sk3, sk5)) <=> smaller(low, mod2)),
% 0.21/0.60 inference(monotonicity,[status(thm)],[406, 335])).
% 0.21/0.60 tff(408,plain,
% 0.21/0.60 (smaller(low, mod2) <=> smaller(hazard_of_mortality(sk3, sk7), hazard_of_mortality(sk3, sk5))),
% 0.54/0.60 inference(symmetry,[status(thm)],[407])).
% 0.54/0.60 tff(409,plain,
% 0.54/0.60 (((~![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))),
% 0.54/0.60 inference(rewrite,[status(thm)],[])).
% 0.54/0.60 tff(410,plain,
% 0.54/0.60 ((~![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))) | ((~greater(mod2, low)) | smaller(low, mod2))),
% 0.54/0.60 inference(quant_inst,[status(thm)],[])).
% 0.54/0.60 tff(411,plain,
% 0.54/0.60 ((~![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))) | (~greater(mod2, low)) | smaller(low, mod2)),
% 0.54/0.60 inference(modus_ponens,[status(thm)],[410, 409])).
% 0.54/0.60 tff(412,plain,
% 0.54/0.60 (smaller(low, mod2)),
% 0.54/0.60 inference(unit_resolution,[status(thm)],[411, 175, 341])).
% 0.54/0.60 tff(413,plain,
% 0.54/0.60 (smaller(hazard_of_mortality(sk3, sk7), hazard_of_mortality(sk3, sk5))),
% 0.54/0.60 inference(modus_ponens,[status(thm)],[412, 408])).
% 0.54/0.60 tff(414,plain,
% 0.54/0.60 ($false),
% 0.54/0.60 inference(unit_resolution,[status(thm)],[334, 413])).
% 0.54/0.60 tff(415,plain,((~(hazard_of_mortality(sk3, sk5) = mod2)) | smaller(hazard_of_mortality(sk3, sk7), hazard_of_mortality(sk3, sk5))), inference(lemma,lemma(discharge,[]))).
% 0.54/0.60 tff(416,plain,
% 0.54/0.60 (~(hazard_of_mortality(sk3, sk5) = mod2)),
% 0.54/0.60 inference(unit_resolution,[status(thm)],[415, 334])).
% 0.54/0.60 tff(417,plain,
% 0.54/0.60 (~is_aligned(sk3, sk5)),
% 0.54/0.60 inference(unit_resolution,[status(thm)],[331, 416])).
% 0.54/0.60 tff(418,plain,
% 0.54/0.60 (^[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)))),
% 0.54/0.60 inference(bind,[status(th)],[])).
% 0.54/0.60 tff(419,plain,
% 0.54/0.60 (![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))),
% 0.54/0.60 inference(quant_intro,[status(thm)],[418])).
% 0.54/0.60 tff(420,plain,
% 0.54/0.60 (![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))),
% 0.54/0.60 inference(rewrite,[status(thm)],[])).
% 0.54/0.60 tff(421,plain,
% 0.54/0.60 (^[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))))),
% 0.54/0.60 inference(bind,[status(th)],[])).
% 0.54/0.60 tff(422,plain,
% 0.54/0.60 (![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))),
% 0.54/0.60 inference(quant_intro,[status(thm)],[421])).
% 0.54/0.60 tff(423,axiom,(![B: $i, A: $i] : (((((~organization(A)) | has_immunity(A, B)) | is_aligned(A, B)) | positional_advantage(A, B)) | (hazard_of_mortality(A, B) = high))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','assumption_17_67')).
% 0.54/0.60 tff(424,plain,
% 0.54/0.60 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | positional_advantage(A, B) | (hazard_of_mortality(A, B) = high))),
% 0.54/0.60 inference(modus_ponens,[status(thm)],[423, 422])).
% 0.54/0.60 tff(425,plain,
% 0.54/0.60 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | positional_advantage(A, B) | (hazard_of_mortality(A, B) = high))),
% 0.54/0.60 inference(modus_ponens,[status(thm)],[424, 420])).
% 0.54/0.60 tff(426,plain,(
% 0.54/0.60 ![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | positional_advantage(A, B) | (hazard_of_mortality(A, B) = high))),
% 0.54/0.60 inference(skolemize,[status(sab)],[425])).
% 0.54/0.60 tff(427,plain,
% 0.54/0.60 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | positional_advantage(A, B) | (hazard_of_mortality(A, B) = high))),
% 0.54/0.60 inference(modus_ponens,[status(thm)],[426, 419])).
% 0.54/0.60 tff(428,plain,
% 0.54/0.60 (((~![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))),
% 0.54/0.60 inference(rewrite,[status(thm)],[])).
% 0.54/0.60 tff(429,plain,
% 0.54/0.60 ((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))),
% 0.54/0.60 inference(rewrite,[status(thm)],[])).
% 0.54/0.60 tff(430,plain,
% 0.54/0.60 (((~![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)))),
% 0.54/0.60 inference(monotonicity,[status(thm)],[429])).
% 0.54/0.60 tff(431,plain,
% 0.54/0.60 (((~![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))),
% 0.54/0.60 inference(transitivity,[status(thm)],[430, 428])).
% 0.54/0.60 tff(432,plain,
% 0.54/0.60 ((~![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))),
% 0.54/0.60 inference(quant_inst,[status(thm)],[])).
% 0.54/0.60 tff(433,plain,
% 0.54/0.60 ((~![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)),
% 0.54/0.60 inference(modus_ponens,[status(thm)],[432, 431])).
% 0.54/0.60 tff(434,plain,
% 0.54/0.60 (is_aligned(sk3, sk5) | has_immunity(sk3, sk5) | (hazard_of_mortality(sk3, sk5) = high)),
% 0.54/0.60 inference(unit_resolution,[status(thm)],[433, 427, 7, 256])).
% 0.54/0.60 tff(435,plain,
% 0.54/0.60 (is_aligned(sk3, sk5) | (hazard_of_mortality(sk3, sk5) = high)),
% 0.54/0.60 inference(unit_resolution,[status(thm)],[434, 323])).
% 0.54/0.60 tff(436,plain,
% 0.54/0.60 (hazard_of_mortality(sk3, sk5) = high),
% 0.54/0.60 inference(unit_resolution,[status(thm)],[435, 417])).
% 0.54/0.60 tff(437,assumption,(hazard_of_mortality(sk3, sk5) = high), introduced(assumption)).
% 0.54/0.60 tff(438,assumption,(~is_aligned(sk3, sk7)), introduced(assumption)).
% 0.54/0.60 tff(439,plain,
% 0.54/0.60 (smaller(hazard_of_mortality(sk3, sk7), hazard_of_mortality(sk3, sk5)) <=> smaller(very_low, high)),
% 0.54/0.60 inference(monotonicity,[status(thm)],[336, 437])).
% 0.54/0.60 tff(440,plain,
% 0.54/0.60 (smaller(very_low, high) <=> smaller(hazard_of_mortality(sk3, sk7), hazard_of_mortality(sk3, sk5))),
% 0.54/0.60 inference(symmetry,[status(thm)],[439])).
% 0.54/0.60 tff(441,plain,
% 0.54/0.60 (greater(high, mod1) <=> greater(high, mod1)),
% 0.54/0.60 inference(rewrite,[status(thm)],[])).
% 0.54/0.60 tff(442,axiom,(greater(high, mod1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','assumption_18a_68')).
% 0.54/0.60 tff(443,plain,
% 0.54/0.60 (greater(high, mod1)),
% 0.54/0.60 inference(modus_ponens,[status(thm)],[442, 441])).
% 0.54/0.60 tff(444,plain,
% 0.54/0.60 (((~![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)))),
% 0.54/0.60 inference(rewrite,[status(thm)],[])).
% 0.54/0.60 tff(445,plain,
% 0.54/0.60 ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(high, low) | (~greater(mod1, low)) | (~greater(high, mod1)))),
% 0.54/0.60 inference(quant_inst,[status(thm)],[])).
% 0.54/0.60 tff(446,plain,
% 0.54/0.60 ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | greater(high, low) | (~greater(mod1, low)) | (~greater(high, mod1))),
% 0.54/0.60 inference(modus_ponens,[status(thm)],[445, 444])).
% 0.54/0.60 tff(447,plain,
% 0.54/0.60 (greater(high, low)),
% 0.54/0.60 inference(unit_resolution,[status(thm)],[446, 105, 443, 161])).
% 0.54/0.60 tff(448,plain,
% 0.54/0.60 (((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | ((~greater(low, very_low)) | greater(high, very_low) | (~greater(high, low)))) <=> ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (~greater(low, very_low)) | greater(high, very_low) | (~greater(high, low)))),
% 0.54/0.60 inference(rewrite,[status(thm)],[])).
% 0.54/0.60 tff(449,plain,
% 0.54/0.60 ((greater(high, very_low) | (~greater(low, very_low)) | (~greater(high, low))) <=> ((~greater(low, very_low)) | greater(high, very_low) | (~greater(high, low)))),
% 0.54/0.60 inference(rewrite,[status(thm)],[])).
% 0.54/0.60 tff(450,plain,
% 0.54/0.60 (((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(high, very_low) | (~greater(low, very_low)) | (~greater(high, low)))) <=> ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | ((~greater(low, very_low)) | greater(high, very_low) | (~greater(high, low))))),
% 0.54/0.60 inference(monotonicity,[status(thm)],[449])).
% 0.54/0.60 tff(451,plain,
% 0.54/0.60 (((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(high, very_low) | (~greater(low, very_low)) | (~greater(high, low)))) <=> ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (~greater(low, very_low)) | greater(high, very_low) | (~greater(high, low)))),
% 0.54/0.61 inference(transitivity,[status(thm)],[450, 448])).
% 0.54/0.61 tff(452,plain,
% 0.54/0.61 ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(high, very_low) | (~greater(low, very_low)) | (~greater(high, low)))),
% 0.54/0.61 inference(quant_inst,[status(thm)],[])).
% 0.54/0.61 tff(453,plain,
% 0.54/0.61 ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (~greater(low, very_low)) | greater(high, very_low) | (~greater(high, low))),
% 0.54/0.61 inference(modus_ponens,[status(thm)],[452, 451])).
% 0.54/0.61 tff(454,plain,
% 0.54/0.61 (greater(high, very_low)),
% 0.54/0.61 inference(unit_resolution,[status(thm)],[453, 105, 158, 447])).
% 0.54/0.61 tff(455,plain,
% 0.54/0.61 (((~![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))) | ((~greater(high, very_low)) | smaller(very_low, high))) <=> ((~![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))) | (~greater(high, very_low)) | smaller(very_low, high))),
% 0.54/0.61 inference(rewrite,[status(thm)],[])).
% 0.54/0.61 tff(456,plain,
% 0.54/0.61 ((~![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))) | ((~greater(high, very_low)) | smaller(very_low, high))),
% 0.54/0.61 inference(quant_inst,[status(thm)],[])).
% 0.54/0.61 tff(457,plain,
% 0.54/0.61 ((~![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))) | (~greater(high, very_low)) | smaller(very_low, high)),
% 0.54/0.61 inference(modus_ponens,[status(thm)],[456, 455])).
% 0.54/0.61 tff(458,plain,
% 0.54/0.61 (smaller(very_low, high)),
% 0.54/0.61 inference(unit_resolution,[status(thm)],[457, 175, 454])).
% 0.54/0.61 tff(459,plain,
% 0.54/0.61 (smaller(hazard_of_mortality(sk3, sk7), hazard_of_mortality(sk3, sk5))),
% 0.54/0.61 inference(modus_ponens,[status(thm)],[458, 440])).
% 0.54/0.61 tff(460,plain,
% 0.54/0.61 ($false),
% 0.54/0.61 inference(unit_resolution,[status(thm)],[334, 459])).
% 0.54/0.61 tff(461,plain,((~(hazard_of_mortality(sk3, sk7) = very_low)) | smaller(hazard_of_mortality(sk3, sk7), hazard_of_mortality(sk3, sk5)) | (~(hazard_of_mortality(sk3, sk5) = high))), inference(lemma,lemma(discharge,[]))).
% 0.54/0.61 tff(462,plain,
% 0.54/0.61 (~(hazard_of_mortality(sk3, sk7) = very_low)),
% 0.54/0.61 inference(unit_resolution,[status(thm)],[461, 437, 334])).
% 0.54/0.61 tff(463,plain,
% 0.54/0.61 (~has_immunity(sk3, sk7)),
% 0.54/0.61 inference(unit_resolution,[status(thm)],[373, 462])).
% 0.54/0.61 tff(464,plain,
% 0.54/0.61 (hazard_of_mortality(sk3, sk7) = mod1),
% 0.54/0.61 inference(unit_resolution,[status(thm)],[149, 463, 438])).
% 0.54/0.61 tff(465,plain,
% 0.54/0.61 (smaller(hazard_of_mortality(sk3, sk7), hazard_of_mortality(sk3, sk5)) <=> smaller(mod1, high)),
% 0.54/0.61 inference(monotonicity,[status(thm)],[464, 437])).
% 0.54/0.61 tff(466,plain,
% 0.54/0.61 (smaller(mod1, high) <=> smaller(hazard_of_mortality(sk3, sk7), hazard_of_mortality(sk3, sk5))),
% 0.54/0.61 inference(symmetry,[status(thm)],[465])).
% 0.54/0.61 tff(467,plain,
% 0.54/0.61 (((~![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))),
% 0.54/0.61 inference(rewrite,[status(thm)],[])).
% 0.54/0.61 tff(468,plain,
% 0.54/0.61 ((~![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))) | ((~greater(high, mod1)) | smaller(mod1, high))),
% 0.54/0.61 inference(quant_inst,[status(thm)],[])).
% 0.54/0.61 tff(469,plain,
% 0.54/0.61 ((~![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))) | (~greater(high, mod1)) | smaller(mod1, high)),
% 0.54/0.61 inference(modus_ponens,[status(thm)],[468, 467])).
% 0.54/0.61 tff(470,plain,
% 0.54/0.61 (smaller(mod1, high)),
% 0.54/0.61 inference(unit_resolution,[status(thm)],[469, 175, 443])).
% 0.54/0.61 tff(471,plain,
% 0.54/0.61 (smaller(hazard_of_mortality(sk3, sk7), hazard_of_mortality(sk3, sk5))),
% 0.54/0.61 inference(modus_ponens,[status(thm)],[470, 466])).
% 0.54/0.61 tff(472,plain,
% 0.54/0.61 ($false),
% 0.54/0.61 inference(unit_resolution,[status(thm)],[334, 471])).
% 0.54/0.61 tff(473,plain,((~(hazard_of_mortality(sk3, sk5) = high)) | smaller(hazard_of_mortality(sk3, sk7), hazard_of_mortality(sk3, sk5)) | is_aligned(sk3, sk7)), inference(lemma,lemma(discharge,[]))).
% 0.54/0.61 tff(474,plain,
% 0.54/0.61 (is_aligned(sk3, sk7)),
% 0.54/0.61 inference(unit_resolution,[status(thm)],[473, 436, 334])).
% 0.54/0.61 tff(475,plain,
% 0.54/0.61 (~(hazard_of_mortality(sk3, sk7) = very_low)),
% 0.54/0.61 inference(unit_resolution,[status(thm)],[461, 436, 334])).
% 0.54/0.61 tff(476,plain,
% 0.54/0.61 (~has_immunity(sk3, sk7)),
% 0.54/0.61 inference(unit_resolution,[status(thm)],[373, 475])).
% 0.54/0.61 tff(477,plain,
% 0.54/0.61 (hazard_of_mortality(sk3, sk7) = low),
% 0.54/0.61 inference(unit_resolution,[status(thm)],[405, 476, 474])).
% 0.54/0.61 tff(478,plain,
% 0.54/0.61 (smaller(hazard_of_mortality(sk3, sk7), hazard_of_mortality(sk3, sk5)) <=> smaller(low, high)),
% 0.54/0.61 inference(monotonicity,[status(thm)],[477, 436])).
% 0.54/0.61 tff(479,plain,
% 0.54/0.61 (smaller(low, high) <=> smaller(hazard_of_mortality(sk3, sk7), hazard_of_mortality(sk3, sk5))),
% 0.54/0.61 inference(symmetry,[status(thm)],[478])).
% 0.54/0.61 tff(480,plain,
% 0.54/0.61 (((~![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))),
% 0.54/0.61 inference(rewrite,[status(thm)],[])).
% 0.54/0.61 tff(481,plain,
% 0.54/0.61 ((~![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))) | ((~greater(high, low)) | smaller(low, high))),
% 0.54/0.61 inference(quant_inst,[status(thm)],[])).
% 0.54/0.61 tff(482,plain,
% 0.54/0.61 ((~![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))) | (~greater(high, low)) | smaller(low, high)),
% 0.54/0.61 inference(modus_ponens,[status(thm)],[481, 480])).
% 0.54/0.61 tff(483,plain,
% 0.54/0.61 (smaller(low, high)),
% 0.54/0.61 inference(unit_resolution,[status(thm)],[482, 175, 447])).
% 0.54/0.61 tff(484,plain,
% 0.54/0.61 (smaller(hazard_of_mortality(sk3, sk7), hazard_of_mortality(sk3, sk5))),
% 0.54/0.61 inference(modus_ponens,[status(thm)],[483, 479])).
% 0.54/0.61 tff(485,plain,
% 0.54/0.61 ($false),
% 0.54/0.61 inference(unit_resolution,[status(thm)],[334, 484])).
% 0.54/0.61 tff(486,plain,(smaller(hazard_of_mortality(sk3, sk7), hazard_of_mortality(sk3, sk5))), inference(lemma,lemma(discharge,[]))).
% 0.54/0.61 tff(487,plain,
% 0.54/0.61 (((~smaller(hazard_of_mortality(sk3, sk6), hazard_of_mortality(sk3, sk7))) | (~smaller(hazard_of_mortality(sk3, sk7), hazard_of_mortality(sk3, sk5))) | (~(hazard_of_mortality(sk3, sk5) = hazard_of_mortality(sk3, sk4)))) <=> ((~smaller(hazard_of_mortality(sk3, sk6), hazard_of_mortality(sk3, sk7))) | (~smaller(hazard_of_mortality(sk3, sk7), hazard_of_mortality(sk3, sk5))) | (~(hazard_of_mortality(sk3, sk5) = hazard_of_mortality(sk3, sk4))))),
% 0.54/0.61 inference(rewrite,[status(thm)],[])).
% 0.54/0.61 tff(488,plain,
% 0.54/0.61 ((((~smaller(hazard_of_mortality(sk3, sk6), hazard_of_mortality(sk3, sk7))) | (~smaller(hazard_of_mortality(sk3, sk7), hazard_of_mortality(sk3, sk5)))) | (~(hazard_of_mortality(sk3, sk5) = hazard_of_mortality(sk3, sk4)))) <=> ((~smaller(hazard_of_mortality(sk3, sk6), hazard_of_mortality(sk3, sk7))) | (~smaller(hazard_of_mortality(sk3, sk7), hazard_of_mortality(sk3, sk5))) | (~(hazard_of_mortality(sk3, sk5) = hazard_of_mortality(sk3, sk4))))),
% 0.54/0.61 inference(rewrite,[status(thm)],[])).
% 0.54/0.61 tff(489,axiom,(((~smaller(hazard_of_mortality(sk3, sk6), hazard_of_mortality(sk3, sk7))) | (~smaller(hazard_of_mortality(sk3, sk7), hazard_of_mortality(sk3, sk5)))) | (~(hazard_of_mortality(sk3, sk5) = hazard_of_mortality(sk3, sk4)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','theorem_10_85')).
% 0.54/0.61 tff(490,plain,
% 0.54/0.61 ((~smaller(hazard_of_mortality(sk3, sk6), hazard_of_mortality(sk3, sk7))) | (~smaller(hazard_of_mortality(sk3, sk7), hazard_of_mortality(sk3, sk5))) | (~(hazard_of_mortality(sk3, sk5) = hazard_of_mortality(sk3, sk4)))),
% 0.54/0.61 inference(modus_ponens,[status(thm)],[489, 488])).
% 0.54/0.61 tff(491,plain,
% 0.54/0.61 ((~smaller(hazard_of_mortality(sk3, sk6), hazard_of_mortality(sk3, sk7))) | (~smaller(hazard_of_mortality(sk3, sk7), hazard_of_mortality(sk3, sk5))) | (~(hazard_of_mortality(sk3, sk5) = hazard_of_mortality(sk3, sk4)))),
% 0.54/0.61 inference(modus_ponens,[status(thm)],[490, 487])).
% 0.54/0.61 tff(492,plain,
% 0.54/0.61 ((~smaller(hazard_of_mortality(sk3, sk6), hazard_of_mortality(sk3, sk7))) | (~smaller(hazard_of_mortality(sk3, sk7), hazard_of_mortality(sk3, sk5))) | (~(hazard_of_mortality(sk3, sk5) = hazard_of_mortality(sk3, sk4)))),
% 0.54/0.61 inference(modus_ponens,[status(thm)],[491, 487])).
% 0.54/0.61 tff(493,plain,
% 0.54/0.61 ((~smaller(hazard_of_mortality(sk3, sk6), hazard_of_mortality(sk3, sk7))) | (~smaller(hazard_of_mortality(sk3, sk7), hazard_of_mortality(sk3, sk5))) | (~(hazard_of_mortality(sk3, sk5) = hazard_of_mortality(sk3, sk4)))),
% 0.54/0.61 inference(modus_ponens,[status(thm)],[492, 487])).
% 0.54/0.61 tff(494,plain,
% 0.54/0.61 ((~smaller(hazard_of_mortality(sk3, sk6), hazard_of_mortality(sk3, sk7))) | (~smaller(hazard_of_mortality(sk3, sk7), hazard_of_mortality(sk3, sk5))) | (~(hazard_of_mortality(sk3, sk5) = hazard_of_mortality(sk3, sk4)))),
% 0.54/0.61 inference(modus_ponens,[status(thm)],[493, 487])).
% 0.54/0.61 tff(495,plain,
% 0.54/0.61 ((~smaller(hazard_of_mortality(sk3, sk6), hazard_of_mortality(sk3, sk7))) | (~smaller(hazard_of_mortality(sk3, sk7), hazard_of_mortality(sk3, sk5))) | (~(hazard_of_mortality(sk3, sk5) = hazard_of_mortality(sk3, sk4)))),
% 0.54/0.61 inference(modus_ponens,[status(thm)],[494, 487])).
% 0.54/0.61 tff(496,plain,
% 0.54/0.61 ((~smaller(hazard_of_mortality(sk3, sk6), hazard_of_mortality(sk3, sk7))) | (~smaller(hazard_of_mortality(sk3, sk7), hazard_of_mortality(sk3, sk5))) | (~(hazard_of_mortality(sk3, sk5) = hazard_of_mortality(sk3, sk4)))),
% 0.54/0.61 inference(modus_ponens,[status(thm)],[495, 487])).
% 0.54/0.61 tff(497,plain,
% 0.54/0.61 ((~smaller(hazard_of_mortality(sk3, sk6), hazard_of_mortality(sk3, sk7))) | (~smaller(hazard_of_mortality(sk3, sk7), hazard_of_mortality(sk3, sk5))) | (~(hazard_of_mortality(sk3, sk5) = hazard_of_mortality(sk3, sk4)))),
% 0.54/0.61 inference(modus_ponens,[status(thm)],[496, 487])).
% 0.54/0.61 tff(498,plain,
% 0.54/0.61 ((~smaller(hazard_of_mortality(sk3, sk6), hazard_of_mortality(sk3, sk7))) | (~smaller(hazard_of_mortality(sk3, sk7), hazard_of_mortality(sk3, sk5))) | (~(hazard_of_mortality(sk3, sk5) = hazard_of_mortality(sk3, sk4)))),
% 0.54/0.61 inference(modus_ponens,[status(thm)],[497, 487])).
% 0.54/0.61 tff(499,plain,
% 0.54/0.61 ((~smaller(hazard_of_mortality(sk3, sk6), hazard_of_mortality(sk3, sk7))) | (~(hazard_of_mortality(sk3, sk5) = hazard_of_mortality(sk3, sk4)))),
% 0.54/0.61 inference(unit_resolution,[status(thm)],[498, 486])).
% 0.54/0.61 tff(500,plain,
% 0.54/0.61 (~smaller(hazard_of_mortality(sk3, sk6), hazard_of_mortality(sk3, sk7))),
% 0.54/0.61 inference(unit_resolution,[status(thm)],[499, 333])).
% 0.54/0.61 tff(501,plain,
% 0.54/0.61 ($false),
% 0.54/0.61 inference(unit_resolution,[status(thm)],[500, 180])).
% 0.54/0.61 tff(502,plain,((~(hazard_of_mortality(sk3, sk6) = very_low)) | (~(hazard_of_mortality(sk3, sk7) = mod1))), inference(lemma,lemma(discharge,[]))).
% 0.54/0.61 tff(503,plain,
% 0.54/0.61 (~(hazard_of_mortality(sk3, sk6) = very_low)),
% 0.54/0.61 inference(unit_resolution,[status(thm)],[502, 151])).
% 0.54/0.61 tff(504,assumption,(hazard_of_mortality(sk3, sk6) = low), introduced(assumption)).
% 0.54/0.61 tff(505,plain,
% 0.54/0.61 (smaller(hazard_of_mortality(sk3, sk6), hazard_of_mortality(sk3, sk7)) <=> smaller(low, mod1)),
% 0.54/0.61 inference(monotonicity,[status(thm)],[504, 152])).
% 0.54/0.61 tff(506,plain,
% 0.54/0.61 (smaller(low, mod1) <=> smaller(hazard_of_mortality(sk3, sk6), hazard_of_mortality(sk3, sk7))),
% 0.54/0.61 inference(symmetry,[status(thm)],[505])).
% 0.54/0.61 tff(507,plain,
% 0.54/0.61 (((~![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))) | ((~greater(mod1, low)) | smaller(low, mod1))) <=> ((~![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))) | (~greater(mod1, low)) | smaller(low, mod1))),
% 0.54/0.61 inference(rewrite,[status(thm)],[])).
% 0.54/0.61 tff(508,plain,
% 0.54/0.61 ((~![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))) | ((~greater(mod1, low)) | smaller(low, mod1))),
% 0.54/0.61 inference(quant_inst,[status(thm)],[])).
% 0.54/0.61 tff(509,plain,
% 0.54/0.61 ((~![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))) | (~greater(mod1, low)) | smaller(low, mod1)),
% 0.54/0.61 inference(modus_ponens,[status(thm)],[508, 507])).
% 0.54/0.61 tff(510,plain,
% 0.54/0.61 (smaller(low, mod1)),
% 0.54/0.61 inference(unit_resolution,[status(thm)],[509, 175, 161])).
% 0.54/0.61 tff(511,plain,
% 0.54/0.61 (smaller(hazard_of_mortality(sk3, sk6), hazard_of_mortality(sk3, sk7))),
% 0.54/0.61 inference(modus_ponens,[status(thm)],[510, 506])).
% 0.54/0.61 tff(512,plain,
% 0.54/0.61 ($false),
% 0.54/0.61 inference(unit_resolution,[status(thm)],[500, 511])).
% 0.54/0.61 tff(513,plain,((~(hazard_of_mortality(sk3, sk6) = low)) | (~(hazard_of_mortality(sk3, sk7) = mod1))), inference(lemma,lemma(discharge,[]))).
% 0.54/0.61 tff(514,plain,
% 0.54/0.61 (~(hazard_of_mortality(sk3, sk6) = low)),
% 0.54/0.61 inference(unit_resolution,[status(thm)],[513, 151])).
% 0.54/0.61 tff(515,assumption,(greater(age(sk3, sk6), sigma)), introduced(assumption)).
% 0.54/0.61 tff(516,plain,
% 0.54/0.61 (^[B: $i, A: $i] : refl(((~greater(A, B)) | (~greater(B, A))) <=> ((~greater(A, B)) | (~greater(B, A))))),
% 0.54/0.61 inference(bind,[status(th)],[])).
% 0.54/0.61 tff(517,plain,
% 0.54/0.61 (![B: $i, A: $i] : ((~greater(A, B)) | (~greater(B, A))) <=> ![B: $i, A: $i] : ((~greater(A, B)) | (~greater(B, A)))),
% 0.56/0.62 inference(quant_intro,[status(thm)],[516])).
% 0.56/0.62 tff(518,plain,
% 0.56/0.62 (![B: $i, A: $i] : ((~greater(A, B)) | (~greater(B, A))) <=> ![B: $i, A: $i] : ((~greater(A, B)) | (~greater(B, A)))),
% 0.56/0.62 inference(rewrite,[status(thm)],[])).
% 0.56/0.62 tff(519,axiom,(![B: $i, A: $i] : ((~greater(A, B)) | (~greater(B, A)))), file('/export/starexec/sandbox2/benchmark/Axioms/MGT001-0.ax','meaning_postulate_greater_strict_9')).
% 0.56/0.62 tff(520,plain,
% 0.56/0.62 (![B: $i, A: $i] : ((~greater(A, B)) | (~greater(B, A)))),
% 0.56/0.62 inference(modus_ponens,[status(thm)],[519, 518])).
% 0.56/0.62 tff(521,plain,(
% 0.56/0.62 ![B: $i, A: $i] : ((~greater(A, B)) | (~greater(B, A)))),
% 0.56/0.62 inference(skolemize,[status(sab)],[520])).
% 0.56/0.62 tff(522,plain,
% 0.56/0.62 (![B: $i, A: $i] : ((~greater(A, B)) | (~greater(B, A)))),
% 0.56/0.62 inference(modus_ponens,[status(thm)],[521, 517])).
% 0.56/0.62 tff(523,plain,
% 0.56/0.62 (((~![B: $i, A: $i] : ((~greater(A, B)) | (~greater(B, A)))) | ((~greater(sigma, age(sk3, sk6))) | (~greater(age(sk3, sk6), sigma)))) <=> ((~![B: $i, A: $i] : ((~greater(A, B)) | (~greater(B, A)))) | (~greater(sigma, age(sk3, sk6))) | (~greater(age(sk3, sk6), sigma)))),
% 0.56/0.62 inference(rewrite,[status(thm)],[])).
% 0.56/0.62 tff(524,plain,
% 0.56/0.62 ((~![B: $i, A: $i] : ((~greater(A, B)) | (~greater(B, A)))) | ((~greater(sigma, age(sk3, sk6))) | (~greater(age(sk3, sk6), sigma)))),
% 0.56/0.62 inference(quant_inst,[status(thm)],[])).
% 0.56/0.62 tff(525,plain,
% 0.56/0.62 ((~![B: $i, A: $i] : ((~greater(A, B)) | (~greater(B, A)))) | (~greater(sigma, age(sk3, sk6))) | (~greater(age(sk3, sk6), sigma))),
% 0.56/0.62 inference(modus_ponens,[status(thm)],[524, 523])).
% 0.56/0.62 tff(526,plain,
% 0.56/0.62 (~greater(sigma, age(sk3, sk6))),
% 0.56/0.62 inference(unit_resolution,[status(thm)],[525, 522, 515])).
% 0.56/0.62 tff(527,plain,
% 0.56/0.62 (^[B: $i, A: $i] : refl(((~smaller(A, B)) | greater(B, A)) <=> ((~smaller(A, B)) | greater(B, A)))),
% 0.56/0.62 inference(bind,[status(th)],[])).
% 0.56/0.62 tff(528,plain,
% 0.56/0.62 (![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A)) <=> ![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))),
% 0.56/0.62 inference(quant_intro,[status(thm)],[527])).
% 0.56/0.62 tff(529,plain,
% 0.56/0.62 (![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A)) <=> ![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))),
% 0.56/0.62 inference(rewrite,[status(thm)],[])).
% 0.56/0.62 tff(530,axiom,(![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))), file('/export/starexec/sandbox2/benchmark/Axioms/MGT001-0.ax','definition_smaller_7')).
% 0.56/0.62 tff(531,plain,
% 0.56/0.62 (![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))),
% 0.56/0.62 inference(modus_ponens,[status(thm)],[530, 529])).
% 0.56/0.62 tff(532,plain,(
% 0.56/0.62 ![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))),
% 0.56/0.62 inference(skolemize,[status(sab)],[531])).
% 0.56/0.62 tff(533,plain,
% 0.56/0.62 (![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))),
% 0.56/0.62 inference(modus_ponens,[status(thm)],[532, 528])).
% 0.56/0.62 tff(534,plain,
% 0.56/0.62 (((~![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))) | ((~smaller(age(sk3, sk6), sigma)) | greater(sigma, age(sk3, sk6)))) <=> ((~![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))) | (~smaller(age(sk3, sk6), sigma)) | greater(sigma, age(sk3, sk6)))),
% 0.56/0.62 inference(rewrite,[status(thm)],[])).
% 0.56/0.62 tff(535,plain,
% 0.56/0.62 ((~![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))) | ((~smaller(age(sk3, sk6), sigma)) | greater(sigma, age(sk3, sk6)))),
% 0.56/0.62 inference(quant_inst,[status(thm)],[])).
% 0.56/0.62 tff(536,plain,
% 0.56/0.62 ((~![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))) | (~smaller(age(sk3, sk6), sigma)) | greater(sigma, age(sk3, sk6))),
% 0.56/0.62 inference(modus_ponens,[status(thm)],[535, 534])).
% 0.56/0.62 tff(537,plain,
% 0.56/0.62 (~smaller(age(sk3, sk6), sigma)),
% 0.56/0.62 inference(unit_resolution,[status(thm)],[536, 533, 526])).
% 0.56/0.62 tff(538,plain,
% 0.56/0.62 (smaller_or_equal(age(sk3, sk6), sigma) <=> smaller_or_equal(age(sk3, sk6), sigma)),
% 0.56/0.62 inference(rewrite,[status(thm)],[])).
% 0.56/0.62 tff(539,axiom,(smaller_or_equal(age(sk3, sk6), sigma)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','theorem_10_83')).
% 0.56/0.62 tff(540,plain,
% 0.56/0.62 (smaller_or_equal(age(sk3, sk6), sigma)),
% 0.56/0.62 inference(modus_ponens,[status(thm)],[539, 538])).
% 0.56/0.62 tff(541,plain,
% 0.56/0.62 (^[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))))),
% 0.56/0.62 inference(bind,[status(th)],[])).
% 0.56/0.62 tff(542,plain,
% 0.56/0.62 (![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)))),
% 0.56/0.62 inference(quant_intro,[status(thm)],[541])).
% 0.56/0.62 tff(543,plain,
% 0.56/0.62 (![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)))),
% 0.56/0.62 inference(rewrite,[status(thm)],[])).
% 0.56/0.62 tff(544,plain,
% 0.56/0.62 (^[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))))),
% 0.56/0.62 inference(bind,[status(th)],[])).
% 0.56/0.62 tff(545,plain,
% 0.56/0.62 (![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)))),
% 0.56/0.62 inference(quant_intro,[status(thm)],[544])).
% 0.56/0.62 tff(546,axiom,(![B: $i, A: $i] : (((~smaller_or_equal(A, B)) | smaller(A, B)) | (A = B))), file('/export/starexec/sandbox2/benchmark/Axioms/MGT001-0.ax','definition_smaller_or_equal_1')).
% 0.56/0.62 tff(547,plain,
% 0.56/0.62 (![B: $i, A: $i] : ((A = B) | smaller(A, B) | (~smaller_or_equal(A, B)))),
% 0.56/0.62 inference(modus_ponens,[status(thm)],[546, 545])).
% 0.56/0.62 tff(548,plain,
% 0.56/0.62 (![B: $i, A: $i] : ((A = B) | smaller(A, B) | (~smaller_or_equal(A, B)))),
% 0.56/0.62 inference(modus_ponens,[status(thm)],[547, 543])).
% 0.56/0.62 tff(549,plain,(
% 0.56/0.62 ![B: $i, A: $i] : ((A = B) | smaller(A, B) | (~smaller_or_equal(A, B)))),
% 0.56/0.62 inference(skolemize,[status(sab)],[548])).
% 0.56/0.62 tff(550,plain,
% 0.56/0.62 (![B: $i, A: $i] : ((A = B) | smaller(A, B) | (~smaller_or_equal(A, B)))),
% 0.56/0.62 inference(modus_ponens,[status(thm)],[549, 542])).
% 0.56/0.62 tff(551,plain,
% 0.56/0.62 (((~![B: $i, A: $i] : ((A = B) | smaller(A, B) | (~smaller_or_equal(A, B)))) | ((age(sk3, sk6) = sigma) | smaller(age(sk3, sk6), sigma) | (~smaller_or_equal(age(sk3, sk6), sigma)))) <=> ((~![B: $i, A: $i] : ((A = B) | smaller(A, B) | (~smaller_or_equal(A, B)))) | (age(sk3, sk6) = sigma) | smaller(age(sk3, sk6), sigma) | (~smaller_or_equal(age(sk3, sk6), sigma)))),
% 0.56/0.62 inference(rewrite,[status(thm)],[])).
% 0.56/0.62 tff(552,plain,
% 0.56/0.62 ((~![B: $i, A: $i] : ((A = B) | smaller(A, B) | (~smaller_or_equal(A, B)))) | ((age(sk3, sk6) = sigma) | smaller(age(sk3, sk6), sigma) | (~smaller_or_equal(age(sk3, sk6), sigma)))),
% 0.56/0.62 inference(quant_inst,[status(thm)],[])).
% 0.56/0.62 tff(553,plain,
% 0.56/0.62 ((~![B: $i, A: $i] : ((A = B) | smaller(A, B) | (~smaller_or_equal(A, B)))) | (age(sk3, sk6) = sigma) | smaller(age(sk3, sk6), sigma) | (~smaller_or_equal(age(sk3, sk6), sigma))),
% 0.56/0.62 inference(modus_ponens,[status(thm)],[552, 551])).
% 0.56/0.62 tff(554,plain,
% 0.56/0.62 ((age(sk3, sk6) = sigma) | smaller(age(sk3, sk6), sigma)),
% 0.56/0.62 inference(unit_resolution,[status(thm)],[553, 550, 540])).
% 0.56/0.62 tff(555,plain,
% 0.56/0.62 (age(sk3, sk6) = sigma),
% 0.56/0.62 inference(unit_resolution,[status(thm)],[554, 537])).
% 0.56/0.62 tff(556,plain,
% 0.56/0.62 (sigma = age(sk3, sk6)),
% 0.56/0.62 inference(symmetry,[status(thm)],[555])).
% 0.56/0.62 tff(557,plain,
% 0.56/0.62 (greater(sigma, age(sk3, sk6)) <=> greater(age(sk3, sk6), sigma)),
% 0.56/0.62 inference(monotonicity,[status(thm)],[556, 555])).
% 0.56/0.62 tff(558,plain,
% 0.56/0.62 (greater(age(sk3, sk6), sigma) <=> greater(sigma, age(sk3, sk6))),
% 0.56/0.62 inference(symmetry,[status(thm)],[557])).
% 0.56/0.62 tff(559,plain,
% 0.56/0.62 (greater(sigma, age(sk3, sk6))),
% 0.56/0.62 inference(modus_ponens,[status(thm)],[515, 558])).
% 0.56/0.62 tff(560,plain,
% 0.56/0.62 ($false),
% 0.56/0.62 inference(unit_resolution,[status(thm)],[526, 559])).
% 0.56/0.62 tff(561,plain,(~greater(age(sk3, sk6), sigma)), inference(lemma,lemma(discharge,[]))).
% 0.56/0.62 tff(562,assumption,(~greater(age(sk3, sk6), sigma)), introduced(assumption)).
% 0.56/0.62 tff(563,assumption,(dissimilar(sk3, sk4, sk6)), introduced(assumption)).
% 0.56/0.62 tff(564,plain,
% 0.56/0.62 (((~![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = age(sk3, sk4))))) | ((~organization(sk3)) | greater(age(sk3, sk6), sigma) | (~dissimilar(sk3, sk4, sk6)))) <=> ((~![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = age(sk3, sk4))))) | (~organization(sk3)) | greater(age(sk3, sk6), sigma) | (~dissimilar(sk3, sk4, sk6)))),
% 0.56/0.62 inference(rewrite,[status(thm)],[])).
% 0.56/0.62 tff(565,plain,
% 0.56/0.62 (((~dissimilar(sk3, sk4, sk6)) | (~organization(sk3)) | greater(age(sk3, sk6), sigma) | $false) <=> ((~organization(sk3)) | greater(age(sk3, sk6), sigma) | (~dissimilar(sk3, sk4, sk6)))),
% 0.56/0.62 inference(rewrite,[status(thm)],[])).
% 0.56/0.62 tff(566,plain,
% 0.56/0.62 (((~dissimilar(sk3, sk4, sk6)) | (~organization(sk3)) | greater(age(sk3, sk6), sigma) | (~(age(sk3, sk4) = age(sk3, sk4)))) <=> ((~dissimilar(sk3, sk4, sk6)) | (~organization(sk3)) | greater(age(sk3, sk6), sigma) | $false)),
% 0.56/0.62 inference(monotonicity,[status(thm)],[47])).
% 0.56/0.62 tff(567,plain,
% 0.56/0.62 (((~dissimilar(sk3, sk4, sk6)) | (~organization(sk3)) | greater(age(sk3, sk6), sigma) | (~(age(sk3, sk4) = age(sk3, sk4)))) <=> ((~organization(sk3)) | greater(age(sk3, sk6), sigma) | (~dissimilar(sk3, sk4, sk6)))),
% 0.56/0.62 inference(transitivity,[status(thm)],[566, 565])).
% 0.56/0.62 tff(568,plain,
% 0.56/0.62 (((~![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = age(sk3, sk4))))) | ((~dissimilar(sk3, sk4, sk6)) | (~organization(sk3)) | greater(age(sk3, sk6), sigma) | (~(age(sk3, sk4) = age(sk3, sk4))))) <=> ((~![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = age(sk3, sk4))))) | ((~organization(sk3)) | greater(age(sk3, sk6), sigma) | (~dissimilar(sk3, sk4, sk6))))),
% 0.56/0.62 inference(monotonicity,[status(thm)],[567])).
% 0.56/0.62 tff(569,plain,
% 0.56/0.62 (((~![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = age(sk3, sk4))))) | ((~dissimilar(sk3, sk4, sk6)) | (~organization(sk3)) | greater(age(sk3, sk6), sigma) | (~(age(sk3, sk4) = age(sk3, sk4))))) <=> ((~![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = age(sk3, sk4))))) | (~organization(sk3)) | greater(age(sk3, sk6), sigma) | (~dissimilar(sk3, sk4, sk6)))),
% 0.56/0.62 inference(transitivity,[status(thm)],[568, 564])).
% 0.56/0.62 tff(570,plain,
% 0.56/0.62 ((~![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = age(sk3, sk4))))) | ((~dissimilar(sk3, sk4, sk6)) | (~organization(sk3)) | greater(age(sk3, sk6), sigma) | (~(age(sk3, sk4) = age(sk3, sk4))))),
% 0.56/0.62 inference(quant_inst,[status(thm)],[])).
% 0.56/0.62 tff(571,plain,
% 0.56/0.62 ((~![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = age(sk3, sk4))))) | (~organization(sk3)) | greater(age(sk3, sk6), sigma) | (~dissimilar(sk3, sk4, sk6))),
% 0.56/0.62 inference(modus_ponens,[status(thm)],[570, 569])).
% 0.56/0.62 tff(572,plain,
% 0.56/0.62 ($false),
% 0.56/0.62 inference(unit_resolution,[status(thm)],[571, 286, 7, 563, 562])).
% 0.56/0.62 tff(573,plain,((~dissimilar(sk3, sk4, sk6)) | greater(age(sk3, sk6), sigma)), inference(lemma,lemma(discharge,[]))).
% 0.56/0.62 tff(574,plain,
% 0.56/0.62 (~dissimilar(sk3, sk4, sk6)),
% 0.56/0.62 inference(unit_resolution,[status(thm)],[573, 561])).
% 0.56/0.62 tff(575,plain,
% 0.56/0.62 (((~![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | is_aligned(A, C) | (~is_aligned(A, B)) | (~organization(A)))) | ((~organization(sk3)) | is_aligned(sk3, sk6) | (~is_aligned(sk3, sk4)) | dissimilar(sk3, sk4, sk6))) <=> ((~![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | is_aligned(A, C) | (~is_aligned(A, B)) | (~organization(A)))) | (~organization(sk3)) | is_aligned(sk3, sk6) | (~is_aligned(sk3, sk4)) | dissimilar(sk3, sk4, sk6))),
% 0.56/0.62 inference(rewrite,[status(thm)],[])).
% 0.56/0.62 tff(576,plain,
% 0.56/0.62 ((dissimilar(sk3, sk4, sk6) | is_aligned(sk3, sk6) | (~is_aligned(sk3, sk4)) | (~organization(sk3))) <=> ((~organization(sk3)) | is_aligned(sk3, sk6) | (~is_aligned(sk3, sk4)) | dissimilar(sk3, sk4, sk6))),
% 0.56/0.62 inference(rewrite,[status(thm)],[])).
% 0.56/0.62 tff(577,plain,
% 0.56/0.62 (((~![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | is_aligned(A, C) | (~is_aligned(A, B)) | (~organization(A)))) | (dissimilar(sk3, sk4, sk6) | is_aligned(sk3, sk6) | (~is_aligned(sk3, sk4)) | (~organization(sk3)))) <=> ((~![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | is_aligned(A, C) | (~is_aligned(A, B)) | (~organization(A)))) | ((~organization(sk3)) | is_aligned(sk3, sk6) | (~is_aligned(sk3, sk4)) | dissimilar(sk3, sk4, sk6)))),
% 0.56/0.63 inference(monotonicity,[status(thm)],[576])).
% 0.56/0.63 tff(578,plain,
% 0.56/0.63 (((~![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | is_aligned(A, C) | (~is_aligned(A, B)) | (~organization(A)))) | (dissimilar(sk3, sk4, sk6) | is_aligned(sk3, sk6) | (~is_aligned(sk3, sk4)) | (~organization(sk3)))) <=> ((~![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | is_aligned(A, C) | (~is_aligned(A, B)) | (~organization(A)))) | (~organization(sk3)) | is_aligned(sk3, sk6) | (~is_aligned(sk3, sk4)) | dissimilar(sk3, sk4, sk6))),
% 0.56/0.63 inference(transitivity,[status(thm)],[577, 575])).
% 0.56/0.63 tff(579,plain,
% 0.56/0.63 ((~![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | is_aligned(A, C) | (~is_aligned(A, B)) | (~organization(A)))) | (dissimilar(sk3, sk4, sk6) | is_aligned(sk3, sk6) | (~is_aligned(sk3, sk4)) | (~organization(sk3)))),
% 0.56/0.63 inference(quant_inst,[status(thm)],[])).
% 0.56/0.63 tff(580,plain,
% 0.56/0.63 ((~![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | is_aligned(A, C) | (~is_aligned(A, B)) | (~organization(A)))) | (~organization(sk3)) | is_aligned(sk3, sk6) | (~is_aligned(sk3, sk4)) | dissimilar(sk3, sk4, sk6)),
% 0.56/0.63 inference(modus_ponens,[status(thm)],[579, 578])).
% 0.56/0.63 tff(581,plain,
% 0.56/0.63 (is_aligned(sk3, sk6) | dissimilar(sk3, sk4, sk6)),
% 0.56/0.63 inference(unit_resolution,[status(thm)],[580, 306, 7, 76])).
% 0.56/0.63 tff(582,plain,
% 0.56/0.63 (is_aligned(sk3, sk6)),
% 0.56/0.63 inference(unit_resolution,[status(thm)],[581, 574])).
% 0.56/0.63 tff(583,plain,
% 0.56/0.63 (greater(age(sk3, sk6), tau) <=> greater(age(sk3, sk6), tau)),
% 0.56/0.63 inference(rewrite,[status(thm)],[])).
% 0.56/0.63 tff(584,axiom,(greater(age(sk3, sk6), tau)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','theorem_10_82')).
% 0.56/0.63 tff(585,plain,
% 0.56/0.63 (greater(age(sk3, sk6), tau)),
% 0.56/0.63 inference(modus_ponens,[status(thm)],[584, 583])).
% 0.56/0.63 tff(586,plain,
% 0.56/0.63 (((~![B: $i, A: $i] : (positional_advantage(A, B) | (~robust_position(A)) | (~greater(age(A, B), tau)))) | ((~greater(age(sk3, sk6), tau)) | (~robust_position(sk3)) | positional_advantage(sk3, sk6))) <=> ((~![B: $i, A: $i] : (positional_advantage(A, B) | (~robust_position(A)) | (~greater(age(A, B), tau)))) | (~greater(age(sk3, sk6), tau)) | (~robust_position(sk3)) | positional_advantage(sk3, sk6))),
% 0.56/0.63 inference(rewrite,[status(thm)],[])).
% 0.56/0.63 tff(587,plain,
% 0.56/0.63 ((positional_advantage(sk3, sk6) | (~robust_position(sk3)) | (~greater(age(sk3, sk6), tau))) <=> ((~greater(age(sk3, sk6), tau)) | (~robust_position(sk3)) | positional_advantage(sk3, sk6))),
% 0.56/0.63 inference(rewrite,[status(thm)],[])).
% 0.56/0.63 tff(588,plain,
% 0.56/0.63 (((~![B: $i, A: $i] : (positional_advantage(A, B) | (~robust_position(A)) | (~greater(age(A, B), tau)))) | (positional_advantage(sk3, sk6) | (~robust_position(sk3)) | (~greater(age(sk3, sk6), tau)))) <=> ((~![B: $i, A: $i] : (positional_advantage(A, B) | (~robust_position(A)) | (~greater(age(A, B), tau)))) | ((~greater(age(sk3, sk6), tau)) | (~robust_position(sk3)) | positional_advantage(sk3, sk6)))),
% 0.56/0.63 inference(monotonicity,[status(thm)],[587])).
% 0.56/0.63 tff(589,plain,
% 0.56/0.63 (((~![B: $i, A: $i] : (positional_advantage(A, B) | (~robust_position(A)) | (~greater(age(A, B), tau)))) | (positional_advantage(sk3, sk6) | (~robust_position(sk3)) | (~greater(age(sk3, sk6), tau)))) <=> ((~![B: $i, A: $i] : (positional_advantage(A, B) | (~robust_position(A)) | (~greater(age(A, B), tau)))) | (~greater(age(sk3, sk6), tau)) | (~robust_position(sk3)) | positional_advantage(sk3, sk6))),
% 0.56/0.63 inference(transitivity,[status(thm)],[588, 586])).
% 0.56/0.63 tff(590,plain,
% 0.56/0.63 ((~![B: $i, A: $i] : (positional_advantage(A, B) | (~robust_position(A)) | (~greater(age(A, B), tau)))) | (positional_advantage(sk3, sk6) | (~robust_position(sk3)) | (~greater(age(sk3, sk6), tau)))),
% 0.56/0.63 inference(quant_inst,[status(thm)],[])).
% 0.56/0.63 tff(591,plain,
% 0.56/0.63 ((~![B: $i, A: $i] : (positional_advantage(A, B) | (~robust_position(A)) | (~greater(age(A, B), tau)))) | (~greater(age(sk3, sk6), tau)) | (~robust_position(sk3)) | positional_advantage(sk3, sk6)),
% 0.56/0.63 inference(modus_ponens,[status(thm)],[590, 589])).
% 0.56/0.63 tff(592,plain,
% 0.56/0.63 (positional_advantage(sk3, sk6)),
% 0.56/0.63 inference(unit_resolution,[status(thm)],[591, 125, 115, 585])).
% 0.56/0.63 tff(593,plain,
% 0.56/0.63 (((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = low) | (~is_aligned(A, B)))) | ((~organization(sk3)) | (~positional_advantage(sk3, sk6)) | has_immunity(sk3, sk6) | (hazard_of_mortality(sk3, sk6) = low) | (~is_aligned(sk3, sk6)))) <=> ((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = low) | (~is_aligned(A, B)))) | (~organization(sk3)) | (~positional_advantage(sk3, sk6)) | has_immunity(sk3, sk6) | (hazard_of_mortality(sk3, sk6) = low) | (~is_aligned(sk3, sk6)))),
% 0.56/0.63 inference(rewrite,[status(thm)],[])).
% 0.56/0.63 tff(594,plain,
% 0.56/0.63 ((has_immunity(sk3, sk6) | (~organization(sk3)) | (~positional_advantage(sk3, sk6)) | (hazard_of_mortality(sk3, sk6) = low) | (~is_aligned(sk3, sk6))) <=> ((~organization(sk3)) | (~positional_advantage(sk3, sk6)) | has_immunity(sk3, sk6) | (hazard_of_mortality(sk3, sk6) = low) | (~is_aligned(sk3, sk6)))),
% 0.56/0.63 inference(rewrite,[status(thm)],[])).
% 0.56/0.63 tff(595,plain,
% 0.56/0.63 (((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = low) | (~is_aligned(A, B)))) | (has_immunity(sk3, sk6) | (~organization(sk3)) | (~positional_advantage(sk3, sk6)) | (hazard_of_mortality(sk3, sk6) = low) | (~is_aligned(sk3, sk6)))) <=> ((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = low) | (~is_aligned(A, B)))) | ((~organization(sk3)) | (~positional_advantage(sk3, sk6)) | has_immunity(sk3, sk6) | (hazard_of_mortality(sk3, sk6) = low) | (~is_aligned(sk3, sk6))))),
% 0.56/0.63 inference(monotonicity,[status(thm)],[594])).
% 0.56/0.63 tff(596,plain,
% 0.56/0.63 (((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = low) | (~is_aligned(A, B)))) | (has_immunity(sk3, sk6) | (~organization(sk3)) | (~positional_advantage(sk3, sk6)) | (hazard_of_mortality(sk3, sk6) = low) | (~is_aligned(sk3, sk6)))) <=> ((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = low) | (~is_aligned(A, B)))) | (~organization(sk3)) | (~positional_advantage(sk3, sk6)) | has_immunity(sk3, sk6) | (hazard_of_mortality(sk3, sk6) = low) | (~is_aligned(sk3, sk6)))),
% 0.56/0.63 inference(transitivity,[status(thm)],[595, 593])).
% 0.56/0.63 tff(597,plain,
% 0.56/0.63 ((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = low) | (~is_aligned(A, B)))) | (has_immunity(sk3, sk6) | (~organization(sk3)) | (~positional_advantage(sk3, sk6)) | (hazard_of_mortality(sk3, sk6) = low) | (~is_aligned(sk3, sk6)))),
% 0.56/0.63 inference(quant_inst,[status(thm)],[])).
% 0.56/0.63 tff(598,plain,
% 0.56/0.63 ((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = low) | (~is_aligned(A, B)))) | (~organization(sk3)) | (~positional_advantage(sk3, sk6)) | has_immunity(sk3, sk6) | (hazard_of_mortality(sk3, sk6) = low) | (~is_aligned(sk3, sk6))),
% 0.56/0.63 inference(modus_ponens,[status(thm)],[597, 596])).
% 0.56/0.63 tff(599,plain,
% 0.56/0.63 (has_immunity(sk3, sk6) | (hazard_of_mortality(sk3, sk6) = low) | (~is_aligned(sk3, sk6))),
% 0.56/0.63 inference(unit_resolution,[status(thm)],[598, 398, 7, 592])).
% 0.56/0.63 tff(600,plain,
% 0.56/0.63 (has_immunity(sk3, sk6) | (hazard_of_mortality(sk3, sk6) = low)),
% 0.56/0.63 inference(unit_resolution,[status(thm)],[599, 582])).
% 0.56/0.63 tff(601,plain,
% 0.56/0.63 (has_immunity(sk3, sk6)),
% 0.56/0.63 inference(unit_resolution,[status(thm)],[600, 514])).
% 0.56/0.63 tff(602,plain,
% 0.56/0.63 (((~![B: $i, A: $i] : ((~has_immunity(A, B)) | (~organization(A)) | (hazard_of_mortality(A, B) = very_low))) | ((~organization(sk3)) | (~has_immunity(sk3, sk6)) | (hazard_of_mortality(sk3, sk6) = very_low))) <=> ((~![B: $i, A: $i] : ((~has_immunity(A, B)) | (~organization(A)) | (hazard_of_mortality(A, B) = very_low))) | (~organization(sk3)) | (~has_immunity(sk3, sk6)) | (hazard_of_mortality(sk3, sk6) = very_low))),
% 0.56/0.64 inference(rewrite,[status(thm)],[])).
% 0.56/0.64 tff(603,plain,
% 0.56/0.64 (((~has_immunity(sk3, sk6)) | (~organization(sk3)) | (hazard_of_mortality(sk3, sk6) = very_low)) <=> ((~organization(sk3)) | (~has_immunity(sk3, sk6)) | (hazard_of_mortality(sk3, sk6) = very_low))),
% 0.56/0.64 inference(rewrite,[status(thm)],[])).
% 0.56/0.64 tff(604,plain,
% 0.56/0.64 (((~![B: $i, A: $i] : ((~has_immunity(A, B)) | (~organization(A)) | (hazard_of_mortality(A, B) = very_low))) | ((~has_immunity(sk3, sk6)) | (~organization(sk3)) | (hazard_of_mortality(sk3, sk6) = very_low))) <=> ((~![B: $i, A: $i] : ((~has_immunity(A, B)) | (~organization(A)) | (hazard_of_mortality(A, B) = very_low))) | ((~organization(sk3)) | (~has_immunity(sk3, sk6)) | (hazard_of_mortality(sk3, sk6) = very_low)))),
% 0.56/0.64 inference(monotonicity,[status(thm)],[603])).
% 0.56/0.64 tff(605,plain,
% 0.56/0.64 (((~![B: $i, A: $i] : ((~has_immunity(A, B)) | (~organization(A)) | (hazard_of_mortality(A, B) = very_low))) | ((~has_immunity(sk3, sk6)) | (~organization(sk3)) | (hazard_of_mortality(sk3, sk6) = very_low))) <=> ((~![B: $i, A: $i] : ((~has_immunity(A, B)) | (~organization(A)) | (hazard_of_mortality(A, B) = very_low))) | (~organization(sk3)) | (~has_immunity(sk3, sk6)) | (hazard_of_mortality(sk3, sk6) = very_low))),
% 0.56/0.64 inference(transitivity,[status(thm)],[604, 602])).
% 0.56/0.64 tff(606,plain,
% 0.56/0.64 ((~![B: $i, A: $i] : ((~has_immunity(A, B)) | (~organization(A)) | (hazard_of_mortality(A, B) = very_low))) | ((~has_immunity(sk3, sk6)) | (~organization(sk3)) | (hazard_of_mortality(sk3, sk6) = very_low))),
% 0.56/0.64 inference(quant_inst,[status(thm)],[])).
% 0.56/0.64 tff(607,plain,
% 0.56/0.64 ((~![B: $i, A: $i] : ((~has_immunity(A, B)) | (~organization(A)) | (hazard_of_mortality(A, B) = very_low))) | (~organization(sk3)) | (~has_immunity(sk3, sk6)) | (hazard_of_mortality(sk3, sk6) = very_low)),
% 0.56/0.64 inference(modus_ponens,[status(thm)],[606, 605])).
% 0.56/0.64 tff(608,plain,
% 0.56/0.64 ((~has_immunity(sk3, sk6)) | (hazard_of_mortality(sk3, sk6) = very_low)),
% 0.56/0.64 inference(unit_resolution,[status(thm)],[607, 366, 7])).
% 0.56/0.64 tff(609,plain,
% 0.56/0.64 ($false),
% 0.56/0.64 inference(unit_resolution,[status(thm)],[608, 601, 503])).
% 0.56/0.64 % SZS output end Proof
%------------------------------------------------------------------------------