TSTP Solution File: MGT065-1 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : MGT065-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n005.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 0.41s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : MGT065-1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.14/0.34 % Computer : n005.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Fri Sep 2 02:57:48 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.14/0.35 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.14/0.35 Usage: tptp [options] [-file:]file
% 0.14/0.35 -h, -? prints this message.
% 0.14/0.35 -smt2 print SMT-LIB2 benchmark.
% 0.14/0.35 -m, -model generate model.
% 0.14/0.35 -p, -proof generate proof.
% 0.14/0.35 -c, -core generate unsat core of named formulas.
% 0.14/0.35 -st, -statistics display statistics.
% 0.14/0.35 -t:timeout set timeout (in second).
% 0.14/0.35 -smt2status display status in smt2 format instead of SZS.
% 0.14/0.35 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.14/0.35 -<param>:<value> configuration parameter and value.
% 0.14/0.35 -o:<output-file> file to place output in.
% 0.21/0.41 % SZS status Unsatisfiable
% 0.21/0.41 % SZS output start Proof
% 0.21/0.41 tff(greater_type, type, (
% 0.21/0.41 greater: ( $i * $i ) > $o)).
% 0.21/0.41 tff(very_low_type, type, (
% 0.21/0.41 very_low: $i)).
% 0.21/0.41 tff(low_type, type, (
% 0.21/0.41 low: $i)).
% 0.21/0.41 tff(hazard_of_mortality_type, type, (
% 0.21/0.41 hazard_of_mortality: ( $i * $i ) > $i)).
% 0.21/0.41 tff(sk4_type, type, (
% 0.21/0.41 sk4: $i)).
% 0.21/0.41 tff(sk2_type, type, (
% 0.21/0.41 sk2: $i)).
% 0.21/0.41 tff(sk5_type, type, (
% 0.21/0.41 sk5: $i)).
% 0.21/0.41 tff(has_immunity_type, type, (
% 0.21/0.41 has_immunity: ( $i * $i ) > $o)).
% 0.21/0.41 tff(smaller_or_equal_type, type, (
% 0.21/0.41 smaller_or_equal: ( $i * $i ) > $o)).
% 0.21/0.41 tff(eta_type, type, (
% 0.21/0.41 eta: $i)).
% 0.21/0.41 tff(age_type, type, (
% 0.21/0.41 age: ( $i * $i ) > $i)).
% 0.21/0.41 tff(has_endowment_type, type, (
% 0.21/0.41 has_endowment: $i > $o)).
% 0.21/0.41 tff(organization_type, type, (
% 0.21/0.41 organization: $i > $o)).
% 0.21/0.41 tff(positional_advantage_type, type, (
% 0.21/0.41 positional_advantage: ( $i * $i ) > $o)).
% 0.21/0.41 tff(mod2_type, type, (
% 0.21/0.41 mod2: $i)).
% 0.21/0.41 tff(sk3_type, type, (
% 0.21/0.41 sk3: $i)).
% 0.21/0.41 tff(smaller_type, type, (
% 0.21/0.41 smaller: ( $i * $i ) > $o)).
% 0.21/0.41 tff(zero_type, type, (
% 0.21/0.41 zero: $i)).
% 0.21/0.41 tff(is_aligned_type, type, (
% 0.21/0.41 is_aligned: ( $i * $i ) > $o)).
% 0.21/0.41 tff(high_type, type, (
% 0.21/0.41 high: $i)).
% 0.21/0.41 tff(mod1_type, type, (
% 0.21/0.41 mod1: $i)).
% 0.21/0.41 tff(1,plain,
% 0.21/0.41 (smaller_or_equal(age(sk2, sk4), eta) <=> smaller_or_equal(age(sk2, sk4), eta)),
% 0.21/0.41 inference(rewrite,[status(thm)],[])).
% 0.21/0.41 tff(2,axiom,(smaller_or_equal(age(sk2, sk4), eta)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','theorem_11_76')).
% 0.21/0.41 tff(3,plain,
% 0.21/0.41 (smaller_or_equal(age(sk2, sk4), eta)),
% 0.21/0.41 inference(modus_ponens,[status(thm)],[2, 1])).
% 0.21/0.41 tff(4,plain,
% 0.21/0.41 (has_endowment(sk2) <=> has_endowment(sk2)),
% 0.21/0.41 inference(rewrite,[status(thm)],[])).
% 0.21/0.41 tff(5,axiom,(has_endowment(sk2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','theorem_11_69')).
% 0.21/0.41 tff(6,plain,
% 0.21/0.41 (has_endowment(sk2)),
% 0.21/0.41 inference(modus_ponens,[status(thm)],[5, 4])).
% 0.21/0.41 tff(7,plain,
% 0.21/0.41 (^[B: $i, A: $i] : refl(((~has_endowment(A)) | has_immunity(A, B) | (~smaller_or_equal(age(A, B), eta))) <=> ((~has_endowment(A)) | has_immunity(A, B) | (~smaller_or_equal(age(A, B), eta))))),
% 0.21/0.41 inference(bind,[status(th)],[])).
% 0.21/0.41 tff(8,plain,
% 0.21/0.41 (![B: $i, A: $i] : ((~has_endowment(A)) | has_immunity(A, B) | (~smaller_or_equal(age(A, B), eta))) <=> ![B: $i, A: $i] : ((~has_endowment(A)) | has_immunity(A, B) | (~smaller_or_equal(age(A, B), eta)))),
% 0.21/0.41 inference(quant_intro,[status(thm)],[7])).
% 0.21/0.41 tff(9,plain,
% 0.21/0.41 (![B: $i, A: $i] : ((~has_endowment(A)) | has_immunity(A, B) | (~smaller_or_equal(age(A, B), eta))) <=> ![B: $i, A: $i] : ((~has_endowment(A)) | has_immunity(A, B) | (~smaller_or_equal(age(A, B), eta)))),
% 0.21/0.41 inference(rewrite,[status(thm)],[])).
% 0.21/0.41 tff(10,plain,
% 0.21/0.41 (^[B: $i, A: $i] : rewrite((((~has_endowment(A)) | (~smaller_or_equal(age(A, B), eta))) | has_immunity(A, B)) <=> ((~has_endowment(A)) | has_immunity(A, B) | (~smaller_or_equal(age(A, B), eta))))),
% 0.21/0.41 inference(bind,[status(th)],[])).
% 0.21/0.41 tff(11,plain,
% 0.21/0.41 (![B: $i, A: $i] : (((~has_endowment(A)) | (~smaller_or_equal(age(A, B), eta))) | has_immunity(A, B)) <=> ![B: $i, A: $i] : ((~has_endowment(A)) | has_immunity(A, B) | (~smaller_or_equal(age(A, B), eta)))),
% 0.21/0.41 inference(quant_intro,[status(thm)],[10])).
% 0.21/0.41 tff(12,axiom,(![B: $i, A: $i] : (((~has_endowment(A)) | (~smaller_or_equal(age(A, B), eta))) | has_immunity(A, B))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','definition_1_41')).
% 0.21/0.41 tff(13,plain,
% 0.21/0.41 (![B: $i, A: $i] : ((~has_endowment(A)) | has_immunity(A, B) | (~smaller_or_equal(age(A, B), eta)))),
% 0.21/0.41 inference(modus_ponens,[status(thm)],[12, 11])).
% 0.21/0.41 tff(14,plain,
% 0.21/0.41 (![B: $i, A: $i] : ((~has_endowment(A)) | has_immunity(A, B) | (~smaller_or_equal(age(A, B), eta)))),
% 0.21/0.41 inference(modus_ponens,[status(thm)],[13, 9])).
% 0.21/0.41 tff(15,plain,(
% 0.21/0.41 ![B: $i, A: $i] : ((~has_endowment(A)) | has_immunity(A, B) | (~smaller_or_equal(age(A, B), eta)))),
% 0.21/0.41 inference(skolemize,[status(sab)],[14])).
% 0.21/0.41 tff(16,plain,
% 0.21/0.41 (![B: $i, A: $i] : ((~has_endowment(A)) | has_immunity(A, B) | (~smaller_or_equal(age(A, B), eta)))),
% 0.21/0.41 inference(modus_ponens,[status(thm)],[15, 8])).
% 0.21/0.41 tff(17,plain,
% 0.21/0.41 (((~![B: $i, A: $i] : ((~has_endowment(A)) | has_immunity(A, B) | (~smaller_or_equal(age(A, B), eta)))) | ((~smaller_or_equal(age(sk2, sk4), eta)) | (~has_endowment(sk2)) | has_immunity(sk2, sk4))) <=> ((~![B: $i, A: $i] : ((~has_endowment(A)) | has_immunity(A, B) | (~smaller_or_equal(age(A, B), eta)))) | (~smaller_or_equal(age(sk2, sk4), eta)) | (~has_endowment(sk2)) | has_immunity(sk2, sk4))),
% 0.21/0.42 inference(rewrite,[status(thm)],[])).
% 0.21/0.42 tff(18,plain,
% 0.21/0.42 (((~has_endowment(sk2)) | has_immunity(sk2, sk4) | (~smaller_or_equal(age(sk2, sk4), eta))) <=> ((~smaller_or_equal(age(sk2, sk4), eta)) | (~has_endowment(sk2)) | has_immunity(sk2, sk4))),
% 0.21/0.42 inference(rewrite,[status(thm)],[])).
% 0.21/0.42 tff(19,plain,
% 0.21/0.42 (((~![B: $i, A: $i] : ((~has_endowment(A)) | has_immunity(A, B) | (~smaller_or_equal(age(A, B), eta)))) | ((~has_endowment(sk2)) | has_immunity(sk2, sk4) | (~smaller_or_equal(age(sk2, sk4), eta)))) <=> ((~![B: $i, A: $i] : ((~has_endowment(A)) | has_immunity(A, B) | (~smaller_or_equal(age(A, B), eta)))) | ((~smaller_or_equal(age(sk2, sk4), eta)) | (~has_endowment(sk2)) | has_immunity(sk2, sk4)))),
% 0.21/0.42 inference(monotonicity,[status(thm)],[18])).
% 0.21/0.42 tff(20,plain,
% 0.21/0.42 (((~![B: $i, A: $i] : ((~has_endowment(A)) | has_immunity(A, B) | (~smaller_or_equal(age(A, B), eta)))) | ((~has_endowment(sk2)) | has_immunity(sk2, sk4) | (~smaller_or_equal(age(sk2, sk4), eta)))) <=> ((~![B: $i, A: $i] : ((~has_endowment(A)) | has_immunity(A, B) | (~smaller_or_equal(age(A, B), eta)))) | (~smaller_or_equal(age(sk2, sk4), eta)) | (~has_endowment(sk2)) | has_immunity(sk2, sk4))),
% 0.21/0.42 inference(transitivity,[status(thm)],[19, 17])).
% 0.21/0.42 tff(21,plain,
% 0.21/0.42 ((~![B: $i, A: $i] : ((~has_endowment(A)) | has_immunity(A, B) | (~smaller_or_equal(age(A, B), eta)))) | ((~has_endowment(sk2)) | has_immunity(sk2, sk4) | (~smaller_or_equal(age(sk2, sk4), eta)))),
% 0.21/0.42 inference(quant_inst,[status(thm)],[])).
% 0.21/0.42 tff(22,plain,
% 0.21/0.42 ((~![B: $i, A: $i] : ((~has_endowment(A)) | has_immunity(A, B) | (~smaller_or_equal(age(A, B), eta)))) | (~smaller_or_equal(age(sk2, sk4), eta)) | (~has_endowment(sk2)) | has_immunity(sk2, sk4)),
% 0.21/0.42 inference(modus_ponens,[status(thm)],[21, 20])).
% 0.21/0.42 tff(23,plain,
% 0.21/0.42 (has_immunity(sk2, sk4)),
% 0.21/0.42 inference(unit_resolution,[status(thm)],[22, 16, 6, 3])).
% 0.21/0.42 tff(24,plain,
% 0.21/0.42 (organization(sk2) <=> organization(sk2)),
% 0.21/0.42 inference(rewrite,[status(thm)],[])).
% 0.21/0.42 tff(25,axiom,(organization(sk2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','theorem_11_67')).
% 0.21/0.42 tff(26,plain,
% 0.21/0.42 (organization(sk2)),
% 0.21/0.42 inference(modus_ponens,[status(thm)],[25, 24])).
% 0.21/0.42 tff(27,plain,
% 0.21/0.42 (^[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)))),
% 0.21/0.42 inference(bind,[status(th)],[])).
% 0.21/0.42 tff(28,plain,
% 0.21/0.42 (![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))),
% 0.21/0.42 inference(quant_intro,[status(thm)],[27])).
% 0.21/0.42 tff(29,plain,
% 0.21/0.42 (![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))),
% 0.21/0.42 inference(rewrite,[status(thm)],[])).
% 0.21/0.42 tff(30,plain,
% 0.21/0.42 (^[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)))),
% 0.21/0.42 inference(bind,[status(th)],[])).
% 0.21/0.42 tff(31,plain,
% 0.21/0.42 (![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))),
% 0.21/0.42 inference(quant_intro,[status(thm)],[30])).
% 0.21/0.42 tff(32,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_57')).
% 0.21/0.42 tff(33,plain,
% 0.21/0.42 (![B: $i, A: $i] : ((~has_immunity(A, B)) | (~organization(A)) | (hazard_of_mortality(A, B) = very_low))),
% 0.21/0.42 inference(modus_ponens,[status(thm)],[32, 31])).
% 0.21/0.42 tff(34,plain,
% 0.21/0.42 (![B: $i, A: $i] : ((~has_immunity(A, B)) | (~organization(A)) | (hazard_of_mortality(A, B) = very_low))),
% 0.21/0.42 inference(modus_ponens,[status(thm)],[33, 29])).
% 0.21/0.42 tff(35,plain,(
% 0.21/0.42 ![B: $i, A: $i] : ((~has_immunity(A, B)) | (~organization(A)) | (hazard_of_mortality(A, B) = very_low))),
% 0.21/0.42 inference(skolemize,[status(sab)],[34])).
% 0.21/0.42 tff(36,plain,
% 0.21/0.42 (![B: $i, A: $i] : ((~has_immunity(A, B)) | (~organization(A)) | (hazard_of_mortality(A, B) = very_low))),
% 0.21/0.42 inference(modus_ponens,[status(thm)],[35, 28])).
% 0.21/0.42 tff(37,plain,
% 0.21/0.42 (((~![B: $i, A: $i] : ((~has_immunity(A, B)) | (~organization(A)) | (hazard_of_mortality(A, B) = very_low))) | ((~organization(sk2)) | (~has_immunity(sk2, sk4)) | (hazard_of_mortality(sk2, sk4) = very_low))) <=> ((~![B: $i, A: $i] : ((~has_immunity(A, B)) | (~organization(A)) | (hazard_of_mortality(A, B) = very_low))) | (~organization(sk2)) | (~has_immunity(sk2, sk4)) | (hazard_of_mortality(sk2, sk4) = very_low))),
% 0.21/0.42 inference(rewrite,[status(thm)],[])).
% 0.21/0.42 tff(38,plain,
% 0.21/0.42 (((~has_immunity(sk2, sk4)) | (~organization(sk2)) | (hazard_of_mortality(sk2, sk4) = very_low)) <=> ((~organization(sk2)) | (~has_immunity(sk2, sk4)) | (hazard_of_mortality(sk2, sk4) = very_low))),
% 0.21/0.42 inference(rewrite,[status(thm)],[])).
% 0.21/0.42 tff(39,plain,
% 0.21/0.42 (((~![B: $i, A: $i] : ((~has_immunity(A, B)) | (~organization(A)) | (hazard_of_mortality(A, B) = very_low))) | ((~has_immunity(sk2, sk4)) | (~organization(sk2)) | (hazard_of_mortality(sk2, sk4) = very_low))) <=> ((~![B: $i, A: $i] : ((~has_immunity(A, B)) | (~organization(A)) | (hazard_of_mortality(A, B) = very_low))) | ((~organization(sk2)) | (~has_immunity(sk2, sk4)) | (hazard_of_mortality(sk2, sk4) = very_low)))),
% 0.21/0.42 inference(monotonicity,[status(thm)],[38])).
% 0.21/0.42 tff(40,plain,
% 0.21/0.42 (((~![B: $i, A: $i] : ((~has_immunity(A, B)) | (~organization(A)) | (hazard_of_mortality(A, B) = very_low))) | ((~has_immunity(sk2, sk4)) | (~organization(sk2)) | (hazard_of_mortality(sk2, sk4) = very_low))) <=> ((~![B: $i, A: $i] : ((~has_immunity(A, B)) | (~organization(A)) | (hazard_of_mortality(A, B) = very_low))) | (~organization(sk2)) | (~has_immunity(sk2, sk4)) | (hazard_of_mortality(sk2, sk4) = very_low))),
% 0.21/0.42 inference(transitivity,[status(thm)],[39, 37])).
% 0.21/0.42 tff(41,plain,
% 0.21/0.42 ((~![B: $i, A: $i] : ((~has_immunity(A, B)) | (~organization(A)) | (hazard_of_mortality(A, B) = very_low))) | ((~has_immunity(sk2, sk4)) | (~organization(sk2)) | (hazard_of_mortality(sk2, sk4) = very_low))),
% 0.21/0.42 inference(quant_inst,[status(thm)],[])).
% 0.21/0.42 tff(42,plain,
% 0.21/0.42 ((~![B: $i, A: $i] : ((~has_immunity(A, B)) | (~organization(A)) | (hazard_of_mortality(A, B) = very_low))) | (~organization(sk2)) | (~has_immunity(sk2, sk4)) | (hazard_of_mortality(sk2, sk4) = very_low)),
% 0.21/0.42 inference(modus_ponens,[status(thm)],[41, 40])).
% 0.21/0.42 tff(43,plain,
% 0.21/0.42 (hazard_of_mortality(sk2, sk4) = very_low),
% 0.21/0.42 inference(unit_resolution,[status(thm)],[42, 36, 26, 23])).
% 0.21/0.42 tff(44,plain,
% 0.21/0.42 (very_low = hazard_of_mortality(sk2, sk4)),
% 0.21/0.42 inference(symmetry,[status(thm)],[43])).
% 0.21/0.42 tff(45,assumption,(hazard_of_mortality(sk2, sk5) = mod2), introduced(assumption)).
% 0.21/0.42 tff(46,plain,
% 0.21/0.42 (mod2 = hazard_of_mortality(sk2, sk5)),
% 0.21/0.42 inference(symmetry,[status(thm)],[45])).
% 0.21/0.42 tff(47,plain,
% 0.21/0.42 (greater(mod2, very_low) <=> greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4))),
% 0.21/0.42 inference(monotonicity,[status(thm)],[46, 44])).
% 0.21/0.42 tff(48,plain,
% 0.21/0.42 (greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4)) <=> greater(mod2, very_low)),
% 0.21/0.42 inference(symmetry,[status(thm)],[47])).
% 0.21/0.42 tff(49,plain,
% 0.21/0.42 ((~greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4))) <=> (~greater(mod2, very_low))),
% 0.21/0.42 inference(monotonicity,[status(thm)],[48])).
% 0.21/0.42 tff(50,plain,
% 0.21/0.42 (greater(eta, zero) <=> greater(eta, age(sk2, sk3))),
% 0.21/0.42 inference(rewrite,[status(thm)],[])).
% 0.21/0.42 tff(51,plain,
% 0.21/0.42 (greater(eta, zero) <=> greater(eta, zero)),
% 0.21/0.42 inference(rewrite,[status(thm)],[])).
% 0.21/0.42 tff(52,axiom,(greater(eta, zero)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','theorem_11_73')).
% 0.21/0.42 tff(53,plain,
% 0.21/0.42 (greater(eta, zero)),
% 0.21/0.42 inference(modus_ponens,[status(thm)],[52, 51])).
% 0.21/0.42 tff(54,plain,
% 0.21/0.42 (greater(eta, age(sk2, sk3))),
% 0.21/0.42 inference(modus_ponens,[status(thm)],[53, 50])).
% 0.21/0.42 tff(55,plain,
% 0.21/0.42 (^[B: $i, A: $i] : refl(((~greater(A, B)) | smaller(B, A)) <=> ((~greater(A, B)) | smaller(B, A)))),
% 0.21/0.42 inference(bind,[status(th)],[])).
% 0.21/0.42 tff(56,plain,
% 0.21/0.42 (![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A)) <=> ![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))),
% 0.21/0.42 inference(quant_intro,[status(thm)],[55])).
% 0.21/0.42 tff(57,plain,
% 0.21/0.42 (![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A)) <=> ![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))),
% 0.21/0.42 inference(rewrite,[status(thm)],[])).
% 0.21/0.42 tff(58,axiom,(![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))), file('/export/starexec/sandbox2/benchmark/Axioms/MGT001-0.ax','definition_smaller_8')).
% 0.21/0.42 tff(59,plain,
% 0.21/0.42 (![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))),
% 0.21/0.42 inference(modus_ponens,[status(thm)],[58, 57])).
% 0.21/0.42 tff(60,plain,(
% 0.21/0.42 ![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))),
% 0.21/0.42 inference(skolemize,[status(sab)],[59])).
% 0.21/0.42 tff(61,plain,
% 0.21/0.42 (![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))),
% 0.21/0.42 inference(modus_ponens,[status(thm)],[60, 56])).
% 0.21/0.42 tff(62,plain,
% 0.21/0.42 (((~![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))) | ((~greater(eta, age(sk2, sk3))) | smaller(age(sk2, sk3), eta))) <=> ((~![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))) | (~greater(eta, age(sk2, sk3))) | smaller(age(sk2, sk3), eta))),
% 0.21/0.42 inference(rewrite,[status(thm)],[])).
% 0.21/0.42 tff(63,plain,
% 0.21/0.42 ((~![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))) | ((~greater(eta, age(sk2, sk3))) | smaller(age(sk2, sk3), eta))),
% 0.21/0.42 inference(quant_inst,[status(thm)],[])).
% 0.21/0.42 tff(64,plain,
% 0.21/0.42 ((~![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))) | (~greater(eta, age(sk2, sk3))) | smaller(age(sk2, sk3), eta)),
% 0.21/0.42 inference(modus_ponens,[status(thm)],[63, 62])).
% 0.21/0.42 tff(65,plain,
% 0.21/0.42 (smaller(age(sk2, sk3), eta)),
% 0.21/0.42 inference(unit_resolution,[status(thm)],[64, 61, 54])).
% 0.21/0.42 tff(66,plain,
% 0.21/0.42 (^[B: $i, A: $i] : refl(((~smaller(A, B)) | smaller_or_equal(A, B)) <=> ((~smaller(A, B)) | smaller_or_equal(A, B)))),
% 0.21/0.42 inference(bind,[status(th)],[])).
% 0.21/0.42 tff(67,plain,
% 0.21/0.42 (![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B)) <=> ![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B))),
% 0.21/0.42 inference(quant_intro,[status(thm)],[66])).
% 0.21/0.42 tff(68,plain,
% 0.21/0.42 (![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B)) <=> ![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B))),
% 0.21/0.42 inference(rewrite,[status(thm)],[])).
% 0.21/0.42 tff(69,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')).
% 0.21/0.42 tff(70,plain,
% 0.21/0.42 (![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B))),
% 0.21/0.42 inference(modus_ponens,[status(thm)],[69, 68])).
% 0.21/0.42 tff(71,plain,(
% 0.21/0.42 ![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B))),
% 0.21/0.42 inference(skolemize,[status(sab)],[70])).
% 0.21/0.42 tff(72,plain,
% 0.21/0.42 (![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B))),
% 0.21/0.42 inference(modus_ponens,[status(thm)],[71, 67])).
% 0.21/0.42 tff(73,plain,
% 0.21/0.42 (((~![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B))) | ((~smaller(age(sk2, sk3), eta)) | smaller_or_equal(age(sk2, sk3), eta))) <=> ((~![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B))) | (~smaller(age(sk2, sk3), eta)) | smaller_or_equal(age(sk2, sk3), eta))),
% 0.21/0.42 inference(rewrite,[status(thm)],[])).
% 0.21/0.42 tff(74,plain,
% 0.21/0.42 ((~![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B))) | ((~smaller(age(sk2, sk3), eta)) | smaller_or_equal(age(sk2, sk3), eta))),
% 0.21/0.42 inference(quant_inst,[status(thm)],[])).
% 0.21/0.42 tff(75,plain,
% 0.21/0.42 ((~![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B))) | (~smaller(age(sk2, sk3), eta)) | smaller_or_equal(age(sk2, sk3), eta)),
% 0.21/0.42 inference(modus_ponens,[status(thm)],[74, 73])).
% 0.21/0.42 tff(76,plain,
% 0.21/0.42 (smaller_or_equal(age(sk2, sk3), eta)),
% 0.21/0.42 inference(unit_resolution,[status(thm)],[75, 72, 65])).
% 0.21/0.43 tff(77,plain,
% 0.21/0.43 (((~![B: $i, A: $i] : ((~has_endowment(A)) | has_immunity(A, B) | (~smaller_or_equal(age(A, B), eta)))) | ((~has_endowment(sk2)) | has_immunity(sk2, sk3) | (~smaller_or_equal(age(sk2, sk3), eta)))) <=> ((~![B: $i, A: $i] : ((~has_endowment(A)) | has_immunity(A, B) | (~smaller_or_equal(age(A, B), eta)))) | (~has_endowment(sk2)) | has_immunity(sk2, sk3) | (~smaller_or_equal(age(sk2, sk3), eta)))),
% 0.21/0.43 inference(rewrite,[status(thm)],[])).
% 0.21/0.43 tff(78,plain,
% 0.21/0.43 ((~![B: $i, A: $i] : ((~has_endowment(A)) | has_immunity(A, B) | (~smaller_or_equal(age(A, B), eta)))) | ((~has_endowment(sk2)) | has_immunity(sk2, sk3) | (~smaller_or_equal(age(sk2, sk3), eta)))),
% 0.21/0.43 inference(quant_inst,[status(thm)],[])).
% 0.21/0.43 tff(79,plain,
% 0.21/0.43 ((~![B: $i, A: $i] : ((~has_endowment(A)) | has_immunity(A, B) | (~smaller_or_equal(age(A, B), eta)))) | (~has_endowment(sk2)) | has_immunity(sk2, sk3) | (~smaller_or_equal(age(sk2, sk3), eta))),
% 0.21/0.43 inference(modus_ponens,[status(thm)],[78, 77])).
% 0.21/0.43 tff(80,plain,
% 0.21/0.43 (has_immunity(sk2, sk3) | (~smaller_or_equal(age(sk2, sk3), eta))),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[79, 16, 6])).
% 0.21/0.43 tff(81,plain,
% 0.21/0.43 (has_immunity(sk2, sk3)),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[80, 76])).
% 0.21/0.43 tff(82,plain,
% 0.21/0.43 (((~![B: $i, A: $i] : ((~has_immunity(A, B)) | (~organization(A)) | (hazard_of_mortality(A, B) = very_low))) | ((~organization(sk2)) | (~has_immunity(sk2, sk3)) | (hazard_of_mortality(sk2, sk3) = very_low))) <=> ((~![B: $i, A: $i] : ((~has_immunity(A, B)) | (~organization(A)) | (hazard_of_mortality(A, B) = very_low))) | (~organization(sk2)) | (~has_immunity(sk2, sk3)) | (hazard_of_mortality(sk2, sk3) = very_low))),
% 0.21/0.43 inference(rewrite,[status(thm)],[])).
% 0.21/0.43 tff(83,plain,
% 0.21/0.43 (((~has_immunity(sk2, sk3)) | (~organization(sk2)) | (hazard_of_mortality(sk2, sk3) = very_low)) <=> ((~organization(sk2)) | (~has_immunity(sk2, sk3)) | (hazard_of_mortality(sk2, sk3) = very_low))),
% 0.21/0.43 inference(rewrite,[status(thm)],[])).
% 0.21/0.43 tff(84,plain,
% 0.21/0.43 (((~![B: $i, A: $i] : ((~has_immunity(A, B)) | (~organization(A)) | (hazard_of_mortality(A, B) = very_low))) | ((~has_immunity(sk2, sk3)) | (~organization(sk2)) | (hazard_of_mortality(sk2, sk3) = very_low))) <=> ((~![B: $i, A: $i] : ((~has_immunity(A, B)) | (~organization(A)) | (hazard_of_mortality(A, B) = very_low))) | ((~organization(sk2)) | (~has_immunity(sk2, sk3)) | (hazard_of_mortality(sk2, sk3) = very_low)))),
% 0.21/0.43 inference(monotonicity,[status(thm)],[83])).
% 0.21/0.43 tff(85,plain,
% 0.21/0.43 (((~![B: $i, A: $i] : ((~has_immunity(A, B)) | (~organization(A)) | (hazard_of_mortality(A, B) = very_low))) | ((~has_immunity(sk2, sk3)) | (~organization(sk2)) | (hazard_of_mortality(sk2, sk3) = very_low))) <=> ((~![B: $i, A: $i] : ((~has_immunity(A, B)) | (~organization(A)) | (hazard_of_mortality(A, B) = very_low))) | (~organization(sk2)) | (~has_immunity(sk2, sk3)) | (hazard_of_mortality(sk2, sk3) = very_low))),
% 0.21/0.43 inference(transitivity,[status(thm)],[84, 82])).
% 0.21/0.43 tff(86,plain,
% 0.21/0.43 ((~![B: $i, A: $i] : ((~has_immunity(A, B)) | (~organization(A)) | (hazard_of_mortality(A, B) = very_low))) | ((~has_immunity(sk2, sk3)) | (~organization(sk2)) | (hazard_of_mortality(sk2, sk3) = very_low))),
% 0.21/0.43 inference(quant_inst,[status(thm)],[])).
% 0.21/0.43 tff(87,plain,
% 0.21/0.43 ((~![B: $i, A: $i] : ((~has_immunity(A, B)) | (~organization(A)) | (hazard_of_mortality(A, B) = very_low))) | (~organization(sk2)) | (~has_immunity(sk2, sk3)) | (hazard_of_mortality(sk2, sk3) = very_low)),
% 0.21/0.43 inference(modus_ponens,[status(thm)],[86, 85])).
% 0.21/0.43 tff(88,plain,
% 0.21/0.43 (hazard_of_mortality(sk2, sk3) = very_low),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[87, 36, 26, 81])).
% 0.21/0.43 tff(89,plain,
% 0.21/0.43 (very_low = hazard_of_mortality(sk2, sk3)),
% 0.21/0.43 inference(symmetry,[status(thm)],[88])).
% 0.21/0.43 tff(90,plain,
% 0.21/0.43 (hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3)),
% 0.21/0.43 inference(transitivity,[status(thm)],[43, 89])).
% 0.21/0.43 tff(91,plain,
% 0.21/0.43 (((~greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4))) | (~(hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3)))) <=> ((~greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4))) | (~(hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3))))),
% 0.21/0.43 inference(rewrite,[status(thm)],[])).
% 0.21/0.43 tff(92,axiom,((~greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4))) | (~(hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','theorem_11_80')).
% 0.21/0.43 tff(93,plain,
% 0.21/0.43 ((~greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4))) | (~(hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3)))),
% 0.21/0.43 inference(modus_ponens,[status(thm)],[92, 91])).
% 0.21/0.43 tff(94,plain,
% 0.21/0.43 ((~greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4))) | (~(hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3)))),
% 0.21/0.43 inference(modus_ponens,[status(thm)],[93, 91])).
% 0.21/0.43 tff(95,plain,
% 0.21/0.43 ((~greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4))) | (~(hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3)))),
% 0.21/0.43 inference(modus_ponens,[status(thm)],[94, 91])).
% 0.21/0.43 tff(96,plain,
% 0.21/0.43 ((~greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4))) | (~(hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3)))),
% 0.21/0.43 inference(modus_ponens,[status(thm)],[95, 91])).
% 0.21/0.43 tff(97,plain,
% 0.21/0.43 ((~greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4))) | (~(hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3)))),
% 0.21/0.43 inference(modus_ponens,[status(thm)],[96, 91])).
% 0.21/0.43 tff(98,plain,
% 0.21/0.43 ((~greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4))) | (~(hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3)))),
% 0.21/0.43 inference(modus_ponens,[status(thm)],[97, 91])).
% 0.21/0.43 tff(99,plain,
% 0.21/0.43 ((~greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4))) | (~(hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3)))),
% 0.21/0.43 inference(modus_ponens,[status(thm)],[98, 91])).
% 0.21/0.43 tff(100,plain,
% 0.21/0.43 ((~greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4))) | (~(hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3)))),
% 0.21/0.43 inference(modus_ponens,[status(thm)],[99, 91])).
% 0.21/0.43 tff(101,plain,
% 0.21/0.43 ((~greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4))) | (~(hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3)))),
% 0.21/0.43 inference(modus_ponens,[status(thm)],[100, 91])).
% 0.21/0.43 tff(102,plain,
% 0.21/0.43 (~greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4))),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[101, 90])).
% 0.21/0.43 tff(103,plain,
% 0.21/0.43 (~greater(mod2, very_low)),
% 0.21/0.43 inference(modus_ponens,[status(thm)],[102, 49])).
% 0.21/0.43 tff(104,plain,
% 0.21/0.43 (greater(mod2, low) <=> greater(mod2, low)),
% 0.21/0.43 inference(rewrite,[status(thm)],[])).
% 0.21/0.43 tff(105,axiom,(greater(mod2, low)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','assumption_18e_66')).
% 0.21/0.43 tff(106,plain,
% 0.21/0.43 (greater(mod2, low)),
% 0.21/0.43 inference(modus_ponens,[status(thm)],[105, 104])).
% 0.21/0.43 tff(107,plain,
% 0.21/0.43 (greater(low, very_low) <=> greater(low, very_low)),
% 0.21/0.43 inference(rewrite,[status(thm)],[])).
% 0.21/0.43 tff(108,axiom,(greater(low, very_low)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','assumption_18c_64')).
% 0.21/0.43 tff(109,plain,
% 0.21/0.43 (greater(low, very_low)),
% 0.21/0.43 inference(modus_ponens,[status(thm)],[108, 107])).
% 0.21/0.43 tff(110,plain,
% 0.21/0.43 (![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)))),
% 0.21/0.43 inference(rewrite,[status(thm)],[])).
% 0.21/0.43 tff(111,plain,
% 0.21/0.43 (![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)))),
% 0.21/0.43 inference(rewrite,[status(thm)],[])).
% 0.21/0.43 tff(112,plain,
% 0.21/0.43 (^[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))))),
% 0.21/0.43 inference(bind,[status(th)],[])).
% 0.21/0.43 tff(113,plain,
% 0.21/0.43 (![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)))),
% 0.21/0.43 inference(quant_intro,[status(thm)],[112])).
% 0.21/0.43 tff(114,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')).
% 0.21/0.43 tff(115,plain,
% 0.21/0.43 (![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))),
% 0.21/0.43 inference(modus_ponens,[status(thm)],[114, 113])).
% 0.21/0.43 tff(116,plain,
% 0.21/0.43 (![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))),
% 0.21/0.43 inference(modus_ponens,[status(thm)],[115, 111])).
% 0.21/0.43 tff(117,plain,(
% 0.21/0.43 ![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))),
% 0.21/0.43 inference(skolemize,[status(sab)],[116])).
% 0.21/0.43 tff(118,plain,
% 0.21/0.43 (![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))),
% 0.21/0.43 inference(modus_ponens,[status(thm)],[117, 110])).
% 0.21/0.43 tff(119,plain,
% 0.21/0.43 (((~![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)))),
% 0.21/0.43 inference(rewrite,[status(thm)],[])).
% 0.21/0.43 tff(120,plain,
% 0.21/0.43 ((greater(mod2, very_low) | (~greater(low, very_low)) | (~greater(mod2, low))) <=> ((~greater(low, very_low)) | greater(mod2, very_low) | (~greater(mod2, low)))),
% 0.21/0.43 inference(rewrite,[status(thm)],[])).
% 0.21/0.43 tff(121,plain,
% 0.21/0.43 (((~![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))))),
% 0.21/0.43 inference(monotonicity,[status(thm)],[120])).
% 0.21/0.43 tff(122,plain,
% 0.21/0.43 (((~![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)))),
% 0.21/0.43 inference(transitivity,[status(thm)],[121, 119])).
% 0.21/0.43 tff(123,plain,
% 0.21/0.43 ((~![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)))),
% 0.21/0.43 inference(quant_inst,[status(thm)],[])).
% 0.21/0.43 tff(124,plain,
% 0.21/0.43 ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (~greater(low, very_low)) | greater(mod2, very_low) | (~greater(mod2, low))),
% 0.21/0.43 inference(modus_ponens,[status(thm)],[123, 122])).
% 0.21/0.43 tff(125,plain,
% 0.21/0.43 (greater(mod2, very_low)),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[124, 118, 109, 106])).
% 0.21/0.43 tff(126,plain,
% 0.21/0.43 ($false),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[125, 103])).
% 0.21/0.43 tff(127,plain,(~(hazard_of_mortality(sk2, sk5) = mod2)), inference(lemma,lemma(discharge,[]))).
% 0.21/0.43 tff(128,assumption,(~positional_advantage(sk2, sk5)), introduced(assumption)).
% 0.21/0.43 tff(129,assumption,(hazard_of_mortality(sk2, sk5) = high), introduced(assumption)).
% 0.21/0.43 tff(130,plain,
% 0.21/0.43 (high = hazard_of_mortality(sk2, sk5)),
% 0.21/0.43 inference(symmetry,[status(thm)],[129])).
% 0.21/0.43 tff(131,plain,
% 0.21/0.43 (greater(high, very_low) <=> greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4))),
% 0.21/0.43 inference(monotonicity,[status(thm)],[130, 44])).
% 0.21/0.43 tff(132,plain,
% 0.21/0.43 (greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4)) <=> greater(high, very_low)),
% 0.21/0.43 inference(symmetry,[status(thm)],[131])).
% 0.21/0.43 tff(133,plain,
% 0.21/0.43 ((~greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4))) <=> (~greater(high, very_low))),
% 0.21/0.43 inference(monotonicity,[status(thm)],[132])).
% 0.21/0.43 tff(134,plain,
% 0.21/0.43 (~greater(high, very_low)),
% 0.21/0.43 inference(modus_ponens,[status(thm)],[102, 133])).
% 0.21/0.43 tff(135,plain,
% 0.21/0.43 (greater(mod1, low) <=> greater(mod1, low)),
% 0.21/0.43 inference(rewrite,[status(thm)],[])).
% 0.21/0.43 tff(136,axiom,(greater(mod1, low)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','assumption_18b_63')).
% 0.21/0.43 tff(137,plain,
% 0.21/0.43 (greater(mod1, low)),
% 0.21/0.43 inference(modus_ponens,[status(thm)],[136, 135])).
% 0.21/0.43 tff(138,plain,
% 0.21/0.43 (greater(high, mod1) <=> greater(high, mod1)),
% 0.21/0.43 inference(rewrite,[status(thm)],[])).
% 0.21/0.43 tff(139,axiom,(greater(high, mod1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','assumption_18a_62')).
% 0.21/0.43 tff(140,plain,
% 0.21/0.43 (greater(high, mod1)),
% 0.21/0.43 inference(modus_ponens,[status(thm)],[139, 138])).
% 0.21/0.43 tff(141,plain,
% 0.21/0.43 (((~![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)))),
% 0.21/0.43 inference(rewrite,[status(thm)],[])).
% 0.21/0.43 tff(142,plain,
% 0.21/0.43 ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(high, low) | (~greater(mod1, low)) | (~greater(high, mod1)))),
% 0.21/0.43 inference(quant_inst,[status(thm)],[])).
% 0.21/0.43 tff(143,plain,
% 0.21/0.43 ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | greater(high, low) | (~greater(mod1, low)) | (~greater(high, mod1))),
% 0.21/0.43 inference(modus_ponens,[status(thm)],[142, 141])).
% 0.21/0.43 tff(144,plain,
% 0.21/0.43 (greater(high, low)),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[143, 118, 140, 137])).
% 0.21/0.43 tff(145,plain,
% 0.21/0.43 (((~![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)))),
% 0.21/0.43 inference(rewrite,[status(thm)],[])).
% 0.21/0.43 tff(146,plain,
% 0.21/0.43 ((greater(high, very_low) | (~greater(low, very_low)) | (~greater(high, low))) <=> ((~greater(low, very_low)) | greater(high, very_low) | (~greater(high, low)))),
% 0.21/0.43 inference(rewrite,[status(thm)],[])).
% 0.21/0.43 tff(147,plain,
% 0.21/0.43 (((~![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))))),
% 0.21/0.43 inference(monotonicity,[status(thm)],[146])).
% 0.21/0.43 tff(148,plain,
% 0.21/0.43 (((~![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)))),
% 0.21/0.43 inference(transitivity,[status(thm)],[147, 145])).
% 0.21/0.43 tff(149,plain,
% 0.21/0.43 ((~![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)))),
% 0.21/0.43 inference(quant_inst,[status(thm)],[])).
% 0.21/0.43 tff(150,plain,
% 0.21/0.43 ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (~greater(low, very_low)) | greater(high, very_low) | (~greater(high, low))),
% 0.21/0.43 inference(modus_ponens,[status(thm)],[149, 148])).
% 0.21/0.43 tff(151,plain,
% 0.21/0.43 (greater(high, very_low)),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[150, 118, 109, 144])).
% 0.21/0.43 tff(152,plain,
% 0.21/0.43 ($false),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[151, 134])).
% 0.21/0.43 tff(153,plain,(~(hazard_of_mortality(sk2, sk5) = high)), inference(lemma,lemma(discharge,[]))).
% 0.21/0.43 tff(154,plain,
% 0.21/0.43 (greater(age(sk2, sk5), eta) <=> greater(age(sk2, sk5), eta)),
% 0.21/0.43 inference(rewrite,[status(thm)],[])).
% 0.21/0.43 tff(155,axiom,(greater(age(sk2, sk5), eta)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','theorem_11_79')).
% 0.21/0.43 tff(156,plain,
% 0.21/0.43 (greater(age(sk2, sk5), eta)),
% 0.21/0.43 inference(modus_ponens,[status(thm)],[155, 154])).
% 0.21/0.43 tff(157,plain,
% 0.21/0.43 (^[B: $i, A: $i] : refl(((~has_endowment(A)) | (~has_immunity(A, B)) | (~greater(age(A, B), eta))) <=> ((~has_endowment(A)) | (~has_immunity(A, B)) | (~greater(age(A, B), eta))))),
% 0.21/0.44 inference(bind,[status(th)],[])).
% 0.21/0.44 tff(158,plain,
% 0.21/0.44 (![B: $i, A: $i] : ((~has_endowment(A)) | (~has_immunity(A, B)) | (~greater(age(A, B), eta))) <=> ![B: $i, A: $i] : ((~has_endowment(A)) | (~has_immunity(A, B)) | (~greater(age(A, B), eta)))),
% 0.21/0.44 inference(quant_intro,[status(thm)],[157])).
% 0.21/0.44 tff(159,plain,
% 0.21/0.44 (![B: $i, A: $i] : ((~has_endowment(A)) | (~has_immunity(A, B)) | (~greater(age(A, B), eta))) <=> ![B: $i, A: $i] : ((~has_endowment(A)) | (~has_immunity(A, B)) | (~greater(age(A, B), eta)))),
% 0.21/0.44 inference(rewrite,[status(thm)],[])).
% 0.21/0.44 tff(160,plain,
% 0.21/0.44 (^[B: $i, A: $i] : rewrite((((~has_endowment(A)) | (~greater(age(A, B), eta))) | (~has_immunity(A, B))) <=> ((~has_endowment(A)) | (~has_immunity(A, B)) | (~greater(age(A, B), eta))))),
% 0.21/0.44 inference(bind,[status(th)],[])).
% 0.21/0.44 tff(161,plain,
% 0.21/0.44 (![B: $i, A: $i] : (((~has_endowment(A)) | (~greater(age(A, B), eta))) | (~has_immunity(A, B))) <=> ![B: $i, A: $i] : ((~has_endowment(A)) | (~has_immunity(A, B)) | (~greater(age(A, B), eta)))),
% 0.21/0.44 inference(quant_intro,[status(thm)],[160])).
% 0.21/0.44 tff(162,axiom,(![B: $i, A: $i] : (((~has_endowment(A)) | (~greater(age(A, B), eta))) | (~has_immunity(A, B)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','definition_1_42')).
% 0.21/0.44 tff(163,plain,
% 0.21/0.44 (![B: $i, A: $i] : ((~has_endowment(A)) | (~has_immunity(A, B)) | (~greater(age(A, B), eta)))),
% 0.21/0.44 inference(modus_ponens,[status(thm)],[162, 161])).
% 0.21/0.44 tff(164,plain,
% 0.21/0.44 (![B: $i, A: $i] : ((~has_endowment(A)) | (~has_immunity(A, B)) | (~greater(age(A, B), eta)))),
% 0.21/0.44 inference(modus_ponens,[status(thm)],[163, 159])).
% 0.21/0.44 tff(165,plain,(
% 0.21/0.44 ![B: $i, A: $i] : ((~has_endowment(A)) | (~has_immunity(A, B)) | (~greater(age(A, B), eta)))),
% 0.21/0.44 inference(skolemize,[status(sab)],[164])).
% 0.21/0.44 tff(166,plain,
% 0.21/0.44 (![B: $i, A: $i] : ((~has_endowment(A)) | (~has_immunity(A, B)) | (~greater(age(A, B), eta)))),
% 0.21/0.44 inference(modus_ponens,[status(thm)],[165, 158])).
% 0.21/0.44 tff(167,plain,
% 0.21/0.44 (((~![B: $i, A: $i] : ((~has_endowment(A)) | (~has_immunity(A, B)) | (~greater(age(A, B), eta)))) | ((~has_endowment(sk2)) | (~has_immunity(sk2, sk5)) | (~greater(age(sk2, sk5), eta)))) <=> ((~![B: $i, A: $i] : ((~has_endowment(A)) | (~has_immunity(A, B)) | (~greater(age(A, B), eta)))) | (~has_endowment(sk2)) | (~has_immunity(sk2, sk5)) | (~greater(age(sk2, sk5), eta)))),
% 0.21/0.44 inference(rewrite,[status(thm)],[])).
% 0.21/0.44 tff(168,plain,
% 0.21/0.44 ((~![B: $i, A: $i] : ((~has_endowment(A)) | (~has_immunity(A, B)) | (~greater(age(A, B), eta)))) | ((~has_endowment(sk2)) | (~has_immunity(sk2, sk5)) | (~greater(age(sk2, sk5), eta)))),
% 0.21/0.44 inference(quant_inst,[status(thm)],[])).
% 0.21/0.44 tff(169,plain,
% 0.21/0.44 ((~![B: $i, A: $i] : ((~has_endowment(A)) | (~has_immunity(A, B)) | (~greater(age(A, B), eta)))) | (~has_endowment(sk2)) | (~has_immunity(sk2, sk5)) | (~greater(age(sk2, sk5), eta))),
% 0.21/0.44 inference(modus_ponens,[status(thm)],[168, 167])).
% 0.21/0.44 tff(170,plain,
% 0.21/0.44 (~has_immunity(sk2, sk5)),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[169, 166, 6, 156])).
% 0.21/0.44 tff(171,plain,
% 0.21/0.44 (^[B: $i, A: $i] : refl((has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | positional_advantage(A, B) | (hazard_of_mortality(A, B) = high)) <=> (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | positional_advantage(A, B) | (hazard_of_mortality(A, B) = high)))),
% 0.21/0.44 inference(bind,[status(th)],[])).
% 0.21/0.44 tff(172,plain,
% 0.21/0.44 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | positional_advantage(A, B) | (hazard_of_mortality(A, B) = high)) <=> ![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | positional_advantage(A, B) | (hazard_of_mortality(A, B) = high))),
% 0.21/0.44 inference(quant_intro,[status(thm)],[171])).
% 0.21/0.44 tff(173,plain,
% 0.21/0.44 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | positional_advantage(A, B) | (hazard_of_mortality(A, B) = high)) <=> ![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | positional_advantage(A, B) | (hazard_of_mortality(A, B) = high))),
% 0.21/0.44 inference(rewrite,[status(thm)],[])).
% 0.21/0.44 tff(174,plain,
% 0.21/0.44 (^[B: $i, A: $i] : trans(monotonicity(trans(monotonicity(rewrite((((~organization(A)) | has_immunity(A, B)) | is_aligned(A, B)) <=> (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B))), (((((~organization(A)) | has_immunity(A, B)) | is_aligned(A, B)) | positional_advantage(A, B)) <=> ((has_immunity(A, B) | (~organization(A)) | is_aligned(A, B)) | positional_advantage(A, B)))), rewrite(((has_immunity(A, B) | (~organization(A)) | is_aligned(A, B)) | positional_advantage(A, B)) <=> (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | positional_advantage(A, B))), (((((~organization(A)) | has_immunity(A, B)) | is_aligned(A, B)) | positional_advantage(A, B)) <=> (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | positional_advantage(A, B)))), ((((((~organization(A)) | has_immunity(A, B)) | is_aligned(A, B)) | positional_advantage(A, B)) | (hazard_of_mortality(A, B) = high)) <=> ((has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | positional_advantage(A, B)) | (hazard_of_mortality(A, B) = high)))), rewrite(((has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | positional_advantage(A, B)) | (hazard_of_mortality(A, B) = high)) <=> (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | positional_advantage(A, B) | (hazard_of_mortality(A, B) = high))), ((((((~organization(A)) | has_immunity(A, B)) | is_aligned(A, B)) | positional_advantage(A, B)) | (hazard_of_mortality(A, B) = high)) <=> (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | positional_advantage(A, B) | (hazard_of_mortality(A, B) = high))))),
% 0.21/0.44 inference(bind,[status(th)],[])).
% 0.21/0.44 tff(175,plain,
% 0.21/0.44 (![B: $i, A: $i] : (((((~organization(A)) | has_immunity(A, B)) | is_aligned(A, B)) | positional_advantage(A, B)) | (hazard_of_mortality(A, B) = high)) <=> ![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | positional_advantage(A, B) | (hazard_of_mortality(A, B) = high))),
% 0.21/0.44 inference(quant_intro,[status(thm)],[174])).
% 0.21/0.44 tff(176,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_61')).
% 0.21/0.44 tff(177,plain,
% 0.21/0.44 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | positional_advantage(A, B) | (hazard_of_mortality(A, B) = high))),
% 0.21/0.44 inference(modus_ponens,[status(thm)],[176, 175])).
% 0.21/0.44 tff(178,plain,
% 0.21/0.44 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | positional_advantage(A, B) | (hazard_of_mortality(A, B) = high))),
% 0.21/0.44 inference(modus_ponens,[status(thm)],[177, 173])).
% 0.21/0.44 tff(179,plain,(
% 0.21/0.44 ![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | positional_advantage(A, B) | (hazard_of_mortality(A, B) = high))),
% 0.21/0.44 inference(skolemize,[status(sab)],[178])).
% 0.21/0.44 tff(180,plain,
% 0.21/0.44 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | positional_advantage(A, B) | (hazard_of_mortality(A, B) = high))),
% 0.21/0.44 inference(modus_ponens,[status(thm)],[179, 172])).
% 0.21/0.44 tff(181,plain,
% 0.21/0.44 (((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | positional_advantage(A, B) | (hazard_of_mortality(A, B) = high))) | ((~organization(sk2)) | is_aligned(sk2, sk5) | has_immunity(sk2, sk5) | positional_advantage(sk2, sk5) | (hazard_of_mortality(sk2, 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(sk2)) | is_aligned(sk2, sk5) | has_immunity(sk2, sk5) | positional_advantage(sk2, sk5) | (hazard_of_mortality(sk2, sk5) = high))),
% 0.21/0.44 inference(rewrite,[status(thm)],[])).
% 0.21/0.44 tff(182,plain,
% 0.21/0.44 ((has_immunity(sk2, sk5) | (~organization(sk2)) | is_aligned(sk2, sk5) | positional_advantage(sk2, sk5) | (hazard_of_mortality(sk2, sk5) = high)) <=> ((~organization(sk2)) | is_aligned(sk2, sk5) | has_immunity(sk2, sk5) | positional_advantage(sk2, sk5) | (hazard_of_mortality(sk2, sk5) = high))),
% 0.21/0.44 inference(rewrite,[status(thm)],[])).
% 0.21/0.44 tff(183,plain,
% 0.21/0.44 (((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | positional_advantage(A, B) | (hazard_of_mortality(A, B) = high))) | (has_immunity(sk2, sk5) | (~organization(sk2)) | is_aligned(sk2, sk5) | positional_advantage(sk2, sk5) | (hazard_of_mortality(sk2, 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(sk2)) | is_aligned(sk2, sk5) | has_immunity(sk2, sk5) | positional_advantage(sk2, sk5) | (hazard_of_mortality(sk2, sk5) = high)))),
% 0.21/0.44 inference(monotonicity,[status(thm)],[182])).
% 0.21/0.44 tff(184,plain,
% 0.21/0.44 (((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | positional_advantage(A, B) | (hazard_of_mortality(A, B) = high))) | (has_immunity(sk2, sk5) | (~organization(sk2)) | is_aligned(sk2, sk5) | positional_advantage(sk2, sk5) | (hazard_of_mortality(sk2, 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(sk2)) | is_aligned(sk2, sk5) | has_immunity(sk2, sk5) | positional_advantage(sk2, sk5) | (hazard_of_mortality(sk2, sk5) = high))),
% 0.21/0.44 inference(transitivity,[status(thm)],[183, 181])).
% 0.21/0.44 tff(185,plain,
% 0.21/0.44 ((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | positional_advantage(A, B) | (hazard_of_mortality(A, B) = high))) | (has_immunity(sk2, sk5) | (~organization(sk2)) | is_aligned(sk2, sk5) | positional_advantage(sk2, sk5) | (hazard_of_mortality(sk2, sk5) = high))),
% 0.21/0.44 inference(quant_inst,[status(thm)],[])).
% 0.21/0.44 tff(186,plain,
% 0.21/0.44 ((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | positional_advantage(A, B) | (hazard_of_mortality(A, B) = high))) | (~organization(sk2)) | is_aligned(sk2, sk5) | has_immunity(sk2, sk5) | positional_advantage(sk2, sk5) | (hazard_of_mortality(sk2, sk5) = high)),
% 0.21/0.44 inference(modus_ponens,[status(thm)],[185, 184])).
% 0.21/0.44 tff(187,plain,
% 0.21/0.44 (is_aligned(sk2, sk5) | positional_advantage(sk2, sk5) | (hazard_of_mortality(sk2, sk5) = high)),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[186, 180, 26, 170])).
% 0.21/0.44 tff(188,plain,
% 0.21/0.44 (is_aligned(sk2, sk5) | positional_advantage(sk2, sk5)),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[187, 153])).
% 0.21/0.44 tff(189,plain,
% 0.21/0.44 (is_aligned(sk2, sk5)),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[188, 128])).
% 0.21/0.44 tff(190,plain,
% 0.21/0.44 (^[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)))),
% 0.21/0.44 inference(bind,[status(th)],[])).
% 0.21/0.44 tff(191,plain,
% 0.21/0.44 (![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))),
% 0.21/0.44 inference(quant_intro,[status(thm)],[190])).
% 0.21/0.44 tff(192,plain,
% 0.21/0.44 (![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))),
% 0.21/0.44 inference(rewrite,[status(thm)],[])).
% 0.21/0.44 tff(193,plain,
% 0.21/0.44 (^[B: $i, A: $i] : trans(monotonicity(trans(monotonicity(rewrite((((~organization(A)) | has_immunity(A, B)) | (~is_aligned(A, B))) <=> (has_immunity(A, B) | (~organization(A)) | (~is_aligned(A, B)))), (((((~organization(A)) | has_immunity(A, B)) | (~is_aligned(A, B))) | positional_advantage(A, B)) <=> ((has_immunity(A, B) | (~organization(A)) | (~is_aligned(A, B))) | positional_advantage(A, B)))), rewrite(((has_immunity(A, B) | (~organization(A)) | (~is_aligned(A, B))) | positional_advantage(A, B)) <=> (has_immunity(A, B) | (~organization(A)) | 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))))),
% 0.21/0.44 inference(bind,[status(th)],[])).
% 0.21/0.44 tff(194,plain,
% 0.21/0.44 (![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))),
% 0.21/0.44 inference(quant_intro,[status(thm)],[193])).
% 0.21/0.44 tff(195,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_60')).
% 0.21/0.44 tff(196,plain,
% 0.21/0.44 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | (~is_aligned(A, B)) | (hazard_of_mortality(A, B) = mod2))),
% 0.21/0.44 inference(modus_ponens,[status(thm)],[195, 194])).
% 0.21/0.44 tff(197,plain,
% 0.21/0.44 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | (~is_aligned(A, B)) | (hazard_of_mortality(A, B) = mod2))),
% 0.21/0.44 inference(modus_ponens,[status(thm)],[196, 192])).
% 0.21/0.44 tff(198,plain,(
% 0.21/0.44 ![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | (~is_aligned(A, B)) | (hazard_of_mortality(A, B) = mod2))),
% 0.21/0.44 inference(skolemize,[status(sab)],[197])).
% 0.21/0.44 tff(199,plain,
% 0.21/0.44 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | (~is_aligned(A, B)) | (hazard_of_mortality(A, B) = mod2))),
% 0.21/0.44 inference(modus_ponens,[status(thm)],[198, 191])).
% 0.21/0.44 tff(200,plain,
% 0.21/0.44 (((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | (~is_aligned(A, B)) | (hazard_of_mortality(A, B) = mod2))) | ((~organization(sk2)) | has_immunity(sk2, sk5) | positional_advantage(sk2, sk5) | (~is_aligned(sk2, sk5)) | (hazard_of_mortality(sk2, 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(sk2)) | has_immunity(sk2, sk5) | positional_advantage(sk2, sk5) | (~is_aligned(sk2, sk5)) | (hazard_of_mortality(sk2, sk5) = mod2))),
% 0.21/0.44 inference(rewrite,[status(thm)],[])).
% 0.21/0.44 tff(201,plain,
% 0.21/0.44 ((has_immunity(sk2, sk5) | (~organization(sk2)) | positional_advantage(sk2, sk5) | (~is_aligned(sk2, sk5)) | (hazard_of_mortality(sk2, sk5) = mod2)) <=> ((~organization(sk2)) | has_immunity(sk2, sk5) | positional_advantage(sk2, sk5) | (~is_aligned(sk2, sk5)) | (hazard_of_mortality(sk2, sk5) = mod2))),
% 0.21/0.44 inference(rewrite,[status(thm)],[])).
% 0.21/0.44 tff(202,plain,
% 0.21/0.44 (((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | (~is_aligned(A, B)) | (hazard_of_mortality(A, B) = mod2))) | (has_immunity(sk2, sk5) | (~organization(sk2)) | positional_advantage(sk2, sk5) | (~is_aligned(sk2, sk5)) | (hazard_of_mortality(sk2, 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(sk2)) | has_immunity(sk2, sk5) | positional_advantage(sk2, sk5) | (~is_aligned(sk2, sk5)) | (hazard_of_mortality(sk2, sk5) = mod2)))),
% 0.21/0.44 inference(monotonicity,[status(thm)],[201])).
% 0.21/0.44 tff(203,plain,
% 0.21/0.44 (((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | (~is_aligned(A, B)) | (hazard_of_mortality(A, B) = mod2))) | (has_immunity(sk2, sk5) | (~organization(sk2)) | positional_advantage(sk2, sk5) | (~is_aligned(sk2, sk5)) | (hazard_of_mortality(sk2, 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(sk2)) | has_immunity(sk2, sk5) | positional_advantage(sk2, sk5) | (~is_aligned(sk2, sk5)) | (hazard_of_mortality(sk2, sk5) = mod2))),
% 0.21/0.44 inference(transitivity,[status(thm)],[202, 200])).
% 0.21/0.44 tff(204,plain,
% 0.21/0.44 ((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | (~is_aligned(A, B)) | (hazard_of_mortality(A, B) = mod2))) | (has_immunity(sk2, sk5) | (~organization(sk2)) | positional_advantage(sk2, sk5) | (~is_aligned(sk2, sk5)) | (hazard_of_mortality(sk2, sk5) = mod2))),
% 0.21/0.44 inference(quant_inst,[status(thm)],[])).
% 0.21/0.44 tff(205,plain,
% 0.21/0.44 ((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | (~is_aligned(A, B)) | (hazard_of_mortality(A, B) = mod2))) | (~organization(sk2)) | has_immunity(sk2, sk5) | positional_advantage(sk2, sk5) | (~is_aligned(sk2, sk5)) | (hazard_of_mortality(sk2, sk5) = mod2)),
% 0.21/0.44 inference(modus_ponens,[status(thm)],[204, 203])).
% 0.21/0.44 tff(206,plain,
% 0.21/0.44 (positional_advantage(sk2, sk5) | (~is_aligned(sk2, sk5)) | (hazard_of_mortality(sk2, sk5) = mod2)),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[205, 199, 26, 170])).
% 0.21/0.44 tff(207,plain,
% 0.21/0.44 ($false),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[206, 189, 128, 127])).
% 0.21/0.44 tff(208,plain,(positional_advantage(sk2, sk5)), inference(lemma,lemma(discharge,[]))).
% 0.21/0.44 tff(209,assumption,(hazard_of_mortality(sk2, sk5) = mod1), introduced(assumption)).
% 0.21/0.44 tff(210,plain,
% 0.21/0.44 (mod1 = hazard_of_mortality(sk2, sk5)),
% 0.21/0.44 inference(symmetry,[status(thm)],[209])).
% 0.21/0.44 tff(211,plain,
% 0.21/0.44 (greater(mod1, very_low) <=> greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4))),
% 0.21/0.44 inference(monotonicity,[status(thm)],[210, 44])).
% 0.21/0.44 tff(212,plain,
% 0.21/0.44 (greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4)) <=> greater(mod1, very_low)),
% 0.21/0.44 inference(symmetry,[status(thm)],[211])).
% 0.21/0.44 tff(213,plain,
% 0.21/0.44 ((~greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4))) <=> (~greater(mod1, very_low))),
% 0.21/0.44 inference(monotonicity,[status(thm)],[212])).
% 0.21/0.44 tff(214,plain,
% 0.21/0.44 (~greater(mod1, very_low)),
% 0.21/0.44 inference(modus_ponens,[status(thm)],[102, 213])).
% 0.21/0.44 tff(215,plain,
% 0.21/0.44 (((~![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)))),
% 0.21/0.44 inference(rewrite,[status(thm)],[])).
% 0.21/0.44 tff(216,plain,
% 0.21/0.44 ((greater(mod1, very_low) | (~greater(low, very_low)) | (~greater(mod1, low))) <=> ((~greater(mod1, low)) | greater(mod1, very_low) | (~greater(low, very_low)))),
% 0.21/0.44 inference(rewrite,[status(thm)],[])).
% 0.21/0.44 tff(217,plain,
% 0.21/0.44 (((~![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))))),
% 0.21/0.44 inference(monotonicity,[status(thm)],[216])).
% 0.21/0.44 tff(218,plain,
% 0.21/0.44 (((~![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)))),
% 0.21/0.45 inference(transitivity,[status(thm)],[217, 215])).
% 0.21/0.45 tff(219,plain,
% 0.21/0.45 ((~![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)))),
% 0.21/0.45 inference(quant_inst,[status(thm)],[])).
% 0.21/0.45 tff(220,plain,
% 0.21/0.45 ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (~greater(mod1, low)) | greater(mod1, very_low) | (~greater(low, very_low))),
% 0.21/0.45 inference(modus_ponens,[status(thm)],[219, 218])).
% 0.21/0.45 tff(221,plain,
% 0.21/0.45 (greater(mod1, very_low)),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[220, 118, 137, 109])).
% 0.21/0.45 tff(222,plain,
% 0.21/0.45 ($false),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[221, 214])).
% 0.21/0.45 tff(223,plain,(~(hazard_of_mortality(sk2, sk5) = mod1)), inference(lemma,lemma(discharge,[]))).
% 0.21/0.45 tff(224,plain,
% 0.21/0.45 (^[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)))),
% 0.21/0.45 inference(bind,[status(th)],[])).
% 0.21/0.45 tff(225,plain,
% 0.21/0.45 (![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))),
% 0.21/0.45 inference(quant_intro,[status(thm)],[224])).
% 0.21/0.45 tff(226,plain,
% 0.21/0.45 (![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))),
% 0.21/0.45 inference(rewrite,[status(thm)],[])).
% 0.21/0.45 tff(227,plain,
% 0.21/0.45 (^[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))))),
% 0.21/0.45 inference(bind,[status(th)],[])).
% 0.21/0.45 tff(228,plain,
% 0.21/0.45 (![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))),
% 0.21/0.45 inference(quant_intro,[status(thm)],[227])).
% 0.21/0.45 tff(229,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_59')).
% 0.21/0.45 tff(230,plain,
% 0.21/0.45 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = mod1))),
% 0.21/0.45 inference(modus_ponens,[status(thm)],[229, 228])).
% 0.21/0.45 tff(231,plain,
% 0.21/0.45 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = mod1))),
% 0.21/0.45 inference(modus_ponens,[status(thm)],[230, 226])).
% 0.21/0.45 tff(232,plain,(
% 0.21/0.45 ![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = mod1))),
% 0.21/0.45 inference(skolemize,[status(sab)],[231])).
% 0.21/0.45 tff(233,plain,
% 0.21/0.45 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = mod1))),
% 0.21/0.45 inference(modus_ponens,[status(thm)],[232, 225])).
% 0.21/0.45 tff(234,plain,
% 0.21/0.45 (((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = mod1))) | ((~organization(sk2)) | is_aligned(sk2, sk5) | has_immunity(sk2, sk5) | (~positional_advantage(sk2, sk5)) | (hazard_of_mortality(sk2, sk5) = mod1))) <=> ((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = mod1))) | (~organization(sk2)) | is_aligned(sk2, sk5) | has_immunity(sk2, sk5) | (~positional_advantage(sk2, sk5)) | (hazard_of_mortality(sk2, sk5) = mod1))),
% 0.21/0.45 inference(rewrite,[status(thm)],[])).
% 0.21/0.45 tff(235,plain,
% 0.21/0.45 ((has_immunity(sk2, sk5) | (~organization(sk2)) | is_aligned(sk2, sk5) | (~positional_advantage(sk2, sk5)) | (hazard_of_mortality(sk2, sk5) = mod1)) <=> ((~organization(sk2)) | is_aligned(sk2, sk5) | has_immunity(sk2, sk5) | (~positional_advantage(sk2, sk5)) | (hazard_of_mortality(sk2, sk5) = mod1))),
% 0.21/0.45 inference(rewrite,[status(thm)],[])).
% 0.21/0.45 tff(236,plain,
% 0.21/0.45 (((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = mod1))) | (has_immunity(sk2, sk5) | (~organization(sk2)) | is_aligned(sk2, sk5) | (~positional_advantage(sk2, sk5)) | (hazard_of_mortality(sk2, sk5) = mod1))) <=> ((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = mod1))) | ((~organization(sk2)) | is_aligned(sk2, sk5) | has_immunity(sk2, sk5) | (~positional_advantage(sk2, sk5)) | (hazard_of_mortality(sk2, sk5) = mod1)))),
% 0.21/0.45 inference(monotonicity,[status(thm)],[235])).
% 0.21/0.45 tff(237,plain,
% 0.21/0.45 (((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = mod1))) | (has_immunity(sk2, sk5) | (~organization(sk2)) | is_aligned(sk2, sk5) | (~positional_advantage(sk2, sk5)) | (hazard_of_mortality(sk2, sk5) = mod1))) <=> ((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = mod1))) | (~organization(sk2)) | is_aligned(sk2, sk5) | has_immunity(sk2, sk5) | (~positional_advantage(sk2, sk5)) | (hazard_of_mortality(sk2, sk5) = mod1))),
% 0.21/0.45 inference(transitivity,[status(thm)],[236, 234])).
% 0.21/0.45 tff(238,plain,
% 0.21/0.45 ((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = mod1))) | (has_immunity(sk2, sk5) | (~organization(sk2)) | is_aligned(sk2, sk5) | (~positional_advantage(sk2, sk5)) | (hazard_of_mortality(sk2, sk5) = mod1))),
% 0.21/0.45 inference(quant_inst,[status(thm)],[])).
% 0.21/0.45 tff(239,plain,
% 0.21/0.45 ((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = mod1))) | (~organization(sk2)) | is_aligned(sk2, sk5) | has_immunity(sk2, sk5) | (~positional_advantage(sk2, sk5)) | (hazard_of_mortality(sk2, sk5) = mod1)),
% 0.21/0.45 inference(modus_ponens,[status(thm)],[238, 237])).
% 0.21/0.45 tff(240,plain,
% 0.21/0.45 (is_aligned(sk2, sk5) | (~positional_advantage(sk2, sk5)) | (hazard_of_mortality(sk2, sk5) = mod1)),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[239, 233, 26, 170])).
% 0.21/0.45 tff(241,plain,
% 0.21/0.45 (is_aligned(sk2, sk5)),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[240, 223, 208])).
% 0.21/0.45 tff(242,plain,
% 0.21/0.45 (^[B: $i, A: $i] : refl((has_immunity(A, B) | (~organization(A)) | (hazard_of_mortality(A, B) = low) | (~positional_advantage(A, B)) | (~is_aligned(A, B))) <=> (has_immunity(A, B) | (~organization(A)) | (hazard_of_mortality(A, B) = low) | (~positional_advantage(A, B)) | (~is_aligned(A, B))))),
% 0.21/0.45 inference(bind,[status(th)],[])).
% 0.21/0.45 tff(243,plain,
% 0.21/0.45 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | (hazard_of_mortality(A, B) = low) | (~positional_advantage(A, B)) | (~is_aligned(A, B))) <=> ![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | (hazard_of_mortality(A, B) = low) | (~positional_advantage(A, B)) | (~is_aligned(A, B)))),
% 0.21/0.45 inference(quant_intro,[status(thm)],[242])).
% 0.21/0.45 tff(244,plain,
% 0.21/0.45 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | (hazard_of_mortality(A, B) = low) | (~positional_advantage(A, B)) | (~is_aligned(A, B))) <=> ![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | (hazard_of_mortality(A, B) = low) | (~positional_advantage(A, B)) | (~is_aligned(A, B)))),
% 0.21/0.45 inference(rewrite,[status(thm)],[])).
% 0.21/0.45 tff(245,plain,
% 0.21/0.45 (^[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)) | (hazard_of_mortality(A, B) = low) | (~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)) | (hazard_of_mortality(A, B) = low) | (~positional_advantage(A, B)) | (~is_aligned(A, B)))))),
% 0.21/0.45 inference(bind,[status(th)],[])).
% 0.21/0.45 tff(246,plain,
% 0.21/0.45 (![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)) | (hazard_of_mortality(A, B) = low) | (~positional_advantage(A, B)) | (~is_aligned(A, B)))),
% 0.21/0.45 inference(quant_intro,[status(thm)],[245])).
% 0.21/0.45 tff(247,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_58')).
% 0.21/0.45 tff(248,plain,
% 0.21/0.45 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | (hazard_of_mortality(A, B) = low) | (~positional_advantage(A, B)) | (~is_aligned(A, B)))),
% 0.21/0.45 inference(modus_ponens,[status(thm)],[247, 246])).
% 0.21/0.45 tff(249,plain,
% 0.21/0.45 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | (hazard_of_mortality(A, B) = low) | (~positional_advantage(A, B)) | (~is_aligned(A, B)))),
% 0.21/0.45 inference(modus_ponens,[status(thm)],[248, 244])).
% 0.21/0.45 tff(250,plain,(
% 0.21/0.45 ![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | (hazard_of_mortality(A, B) = low) | (~positional_advantage(A, B)) | (~is_aligned(A, B)))),
% 0.21/0.45 inference(skolemize,[status(sab)],[249])).
% 0.21/0.45 tff(251,plain,
% 0.21/0.45 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | (hazard_of_mortality(A, B) = low) | (~positional_advantage(A, B)) | (~is_aligned(A, B)))),
% 0.21/0.45 inference(modus_ponens,[status(thm)],[250, 243])).
% 0.21/0.45 tff(252,plain,
% 0.21/0.45 (((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | (hazard_of_mortality(A, B) = low) | (~positional_advantage(A, B)) | (~is_aligned(A, B)))) | ((~organization(sk2)) | has_immunity(sk2, sk5) | (~is_aligned(sk2, sk5)) | (~positional_advantage(sk2, sk5)) | (hazard_of_mortality(sk2, sk5) = low))) <=> ((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | (hazard_of_mortality(A, B) = low) | (~positional_advantage(A, B)) | (~is_aligned(A, B)))) | (~organization(sk2)) | has_immunity(sk2, sk5) | (~is_aligned(sk2, sk5)) | (~positional_advantage(sk2, sk5)) | (hazard_of_mortality(sk2, sk5) = low))),
% 0.21/0.45 inference(rewrite,[status(thm)],[])).
% 0.21/0.45 tff(253,plain,
% 0.21/0.45 ((has_immunity(sk2, sk5) | (~organization(sk2)) | (hazard_of_mortality(sk2, sk5) = low) | (~positional_advantage(sk2, sk5)) | (~is_aligned(sk2, sk5))) <=> ((~organization(sk2)) | has_immunity(sk2, sk5) | (~is_aligned(sk2, sk5)) | (~positional_advantage(sk2, sk5)) | (hazard_of_mortality(sk2, sk5) = low))),
% 0.21/0.45 inference(rewrite,[status(thm)],[])).
% 0.21/0.45 tff(254,plain,
% 0.21/0.45 (((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | (hazard_of_mortality(A, B) = low) | (~positional_advantage(A, B)) | (~is_aligned(A, B)))) | (has_immunity(sk2, sk5) | (~organization(sk2)) | (hazard_of_mortality(sk2, sk5) = low) | (~positional_advantage(sk2, sk5)) | (~is_aligned(sk2, sk5)))) <=> ((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | (hazard_of_mortality(A, B) = low) | (~positional_advantage(A, B)) | (~is_aligned(A, B)))) | ((~organization(sk2)) | has_immunity(sk2, sk5) | (~is_aligned(sk2, sk5)) | (~positional_advantage(sk2, sk5)) | (hazard_of_mortality(sk2, sk5) = low)))),
% 0.21/0.45 inference(monotonicity,[status(thm)],[253])).
% 0.21/0.45 tff(255,plain,
% 0.21/0.45 (((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | (hazard_of_mortality(A, B) = low) | (~positional_advantage(A, B)) | (~is_aligned(A, B)))) | (has_immunity(sk2, sk5) | (~organization(sk2)) | (hazard_of_mortality(sk2, sk5) = low) | (~positional_advantage(sk2, sk5)) | (~is_aligned(sk2, sk5)))) <=> ((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | (hazard_of_mortality(A, B) = low) | (~positional_advantage(A, B)) | (~is_aligned(A, B)))) | (~organization(sk2)) | has_immunity(sk2, sk5) | (~is_aligned(sk2, sk5)) | (~positional_advantage(sk2, sk5)) | (hazard_of_mortality(sk2, sk5) = low))),
% 0.21/0.45 inference(transitivity,[status(thm)],[254, 252])).
% 0.21/0.45 tff(256,plain,
% 0.21/0.45 ((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | (hazard_of_mortality(A, B) = low) | (~positional_advantage(A, B)) | (~is_aligned(A, B)))) | (has_immunity(sk2, sk5) | (~organization(sk2)) | (hazard_of_mortality(sk2, sk5) = low) | (~positional_advantage(sk2, sk5)) | (~is_aligned(sk2, sk5)))),
% 0.21/0.45 inference(quant_inst,[status(thm)],[])).
% 0.21/0.45 tff(257,plain,
% 0.21/0.45 ((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | (hazard_of_mortality(A, B) = low) | (~positional_advantage(A, B)) | (~is_aligned(A, B)))) | (~organization(sk2)) | has_immunity(sk2, sk5) | (~is_aligned(sk2, sk5)) | (~positional_advantage(sk2, sk5)) | (hazard_of_mortality(sk2, sk5) = low)),
% 0.21/0.45 inference(modus_ponens,[status(thm)],[256, 255])).
% 0.21/0.45 tff(258,plain,
% 0.21/0.45 ((~is_aligned(sk2, sk5)) | (~positional_advantage(sk2, sk5)) | (hazard_of_mortality(sk2, sk5) = low)),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[257, 251, 26, 170])).
% 0.21/0.46 tff(259,plain,
% 0.21/0.46 (hazard_of_mortality(sk2, sk5) = low),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[258, 241, 208])).
% 0.21/0.46 tff(260,plain,
% 0.21/0.46 (low = hazard_of_mortality(sk2, sk5)),
% 0.21/0.46 inference(symmetry,[status(thm)],[259])).
% 0.21/0.46 tff(261,plain,
% 0.21/0.46 (greater(low, very_low) <=> greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4))),
% 0.21/0.46 inference(monotonicity,[status(thm)],[260, 44])).
% 0.21/0.46 tff(262,plain,
% 0.21/0.46 (greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4)) <=> greater(low, very_low)),
% 0.21/0.46 inference(symmetry,[status(thm)],[261])).
% 0.21/0.46 tff(263,plain,
% 0.21/0.46 ((~greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4))) <=> (~greater(low, very_low))),
% 0.21/0.46 inference(monotonicity,[status(thm)],[262])).
% 0.21/0.46 tff(264,plain,
% 0.21/0.46 (~greater(low, very_low)),
% 0.21/0.46 inference(modus_ponens,[status(thm)],[102, 263])).
% 0.21/0.46 tff(265,plain,
% 0.21/0.46 ($false),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[109, 264])).
% 0.21/0.46 % SZS output end Proof
%------------------------------------------------------------------------------