TSTP Solution File: MGT062-1 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : MGT062-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n007.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 05:22:19 EDT 2022
% Result : Unsatisfiable 0.20s 0.43s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : MGT062-1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.34 % Computer : n007.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri Sep 2 02:42:18 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.35 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.12/0.35 Usage: tptp [options] [-file:]file
% 0.12/0.35 -h, -? prints this message.
% 0.12/0.35 -smt2 print SMT-LIB2 benchmark.
% 0.12/0.35 -m, -model generate model.
% 0.12/0.35 -p, -proof generate proof.
% 0.12/0.35 -c, -core generate unsat core of named formulas.
% 0.12/0.35 -st, -statistics display statistics.
% 0.12/0.35 -t:timeout set timeout (in second).
% 0.12/0.35 -smt2status display status in smt2 format instead of SZS.
% 0.12/0.35 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.12/0.35 -<param>:<value> configuration parameter and value.
% 0.12/0.35 -o:<output-file> file to place output in.
% 0.20/0.43 % SZS status Unsatisfiable
% 0.20/0.43 % SZS output start Proof
% 0.20/0.43 tff(smaller_type, type, (
% 0.20/0.43 smaller: ( $i * $i ) > $o)).
% 0.20/0.43 tff(hazard_of_mortality_type, type, (
% 0.20/0.43 hazard_of_mortality: ( $i * $i ) > $i)).
% 0.20/0.43 tff(sk4_type, type, (
% 0.20/0.43 sk4: $i)).
% 0.20/0.43 tff(sk2_type, type, (
% 0.20/0.43 sk2: $i)).
% 0.20/0.43 tff(sk5_type, type, (
% 0.20/0.43 sk5: $i)).
% 0.20/0.43 tff(mod2_type, type, (
% 0.20/0.43 mod2: $i)).
% 0.20/0.43 tff(mod1_type, type, (
% 0.20/0.43 mod1: $i)).
% 0.20/0.43 tff(is_aligned_type, type, (
% 0.20/0.43 is_aligned: ( $i * $i ) > $o)).
% 0.20/0.43 tff(dissimilar_type, type, (
% 0.20/0.43 dissimilar: ( $i * $i * $i ) > $o)).
% 0.20/0.43 tff(sk3_type, type, (
% 0.20/0.43 sk3: $i)).
% 0.20/0.43 tff(greater_type, type, (
% 0.20/0.43 greater: ( $i * $i ) > $o)).
% 0.20/0.43 tff(tau_type, type, (
% 0.20/0.43 tau: $i)).
% 0.20/0.43 tff(age_type, type, (
% 0.20/0.43 age: ( $i * $i ) > $i)).
% 0.20/0.43 tff(positional_advantage_type, type, (
% 0.20/0.43 positional_advantage: ( $i * $i ) > $o)).
% 0.20/0.43 tff(smaller_or_equal_type, type, (
% 0.20/0.43 smaller_or_equal: ( $i * $i ) > $o)).
% 0.20/0.43 tff(sigma_type, type, (
% 0.20/0.43 sigma: $i)).
% 0.20/0.43 tff(robust_position_type, type, (
% 0.20/0.43 robust_position: $i > $o)).
% 0.20/0.43 tff(organization_type, type, (
% 0.20/0.43 organization: $i > $o)).
% 0.20/0.43 tff(zero_type, type, (
% 0.20/0.43 zero: $i)).
% 0.20/0.43 tff(has_immunity_type, type, (
% 0.20/0.43 has_immunity: ( $i * $i ) > $o)).
% 0.20/0.43 tff(has_endowment_type, type, (
% 0.20/0.43 has_endowment: $i > $o)).
% 0.20/0.43 tff(1,assumption,(dissimilar(sk2, sk3, sk4)), introduced(assumption)).
% 0.20/0.43 tff(2,plain,
% 0.20/0.43 (smaller_or_equal(age(sk2, sk4), sigma) <=> smaller_or_equal(age(sk2, sk4), tau)),
% 0.20/0.43 inference(rewrite,[status(thm)],[])).
% 0.20/0.43 tff(3,plain,
% 0.20/0.43 (smaller_or_equal(age(sk2, sk4), sigma) <=> smaller_or_equal(age(sk2, sk4), sigma)),
% 0.20/0.43 inference(rewrite,[status(thm)],[])).
% 0.20/0.43 tff(4,axiom,(smaller_or_equal(age(sk2, sk4), sigma)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','theorem_8_69')).
% 0.20/0.43 tff(5,plain,
% 0.20/0.43 (smaller_or_equal(age(sk2, sk4), sigma)),
% 0.20/0.43 inference(modus_ponens,[status(thm)],[4, 3])).
% 0.20/0.43 tff(6,plain,
% 0.20/0.43 (smaller_or_equal(age(sk2, sk4), tau)),
% 0.20/0.43 inference(modus_ponens,[status(thm)],[5, 2])).
% 0.20/0.43 tff(7,plain,
% 0.20/0.43 (robust_position(sk2) <=> robust_position(sk2)),
% 0.20/0.43 inference(rewrite,[status(thm)],[])).
% 0.20/0.43 tff(8,axiom,(robust_position(sk2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','theorem_8_63')).
% 0.20/0.43 tff(9,plain,
% 0.20/0.43 (robust_position(sk2)),
% 0.20/0.43 inference(modus_ponens,[status(thm)],[8, 7])).
% 0.20/0.43 tff(10,plain,
% 0.20/0.43 (^[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))))),
% 0.20/0.43 inference(bind,[status(th)],[])).
% 0.20/0.43 tff(11,plain,
% 0.20/0.43 (![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)))),
% 0.20/0.43 inference(quant_intro,[status(thm)],[10])).
% 0.20/0.43 tff(12,plain,
% 0.20/0.43 (![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)))),
% 0.20/0.43 inference(rewrite,[status(thm)],[])).
% 0.20/0.43 tff(13,plain,
% 0.20/0.43 (^[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))))),
% 0.20/0.43 inference(bind,[status(th)],[])).
% 0.20/0.43 tff(14,plain,
% 0.20/0.43 (![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)))),
% 0.20/0.43 inference(quant_intro,[status(thm)],[13])).
% 0.20/0.43 tff(15,axiom,(![B: $i, A: $i] : (((~robust_position(A)) | (~smaller_or_equal(age(A, B), tau))) | (~positional_advantage(A, B)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','definition_4_50')).
% 0.20/0.43 tff(16,plain,
% 0.20/0.43 (![B: $i, A: $i] : ((~positional_advantage(A, B)) | (~smaller_or_equal(age(A, B), tau)) | (~robust_position(A)))),
% 0.20/0.43 inference(modus_ponens,[status(thm)],[15, 14])).
% 0.20/0.43 tff(17,plain,
% 0.20/0.43 (![B: $i, A: $i] : ((~positional_advantage(A, B)) | (~smaller_or_equal(age(A, B), tau)) | (~robust_position(A)))),
% 0.20/0.44 inference(modus_ponens,[status(thm)],[16, 12])).
% 0.20/0.44 tff(18,plain,(
% 0.20/0.44 ![B: $i, A: $i] : ((~positional_advantage(A, B)) | (~smaller_or_equal(age(A, B), tau)) | (~robust_position(A)))),
% 0.20/0.44 inference(skolemize,[status(sab)],[17])).
% 0.20/0.44 tff(19,plain,
% 0.20/0.44 (![B: $i, A: $i] : ((~positional_advantage(A, B)) | (~smaller_or_equal(age(A, B), tau)) | (~robust_position(A)))),
% 0.20/0.44 inference(modus_ponens,[status(thm)],[18, 11])).
% 0.20/0.44 tff(20,plain,
% 0.20/0.44 (((~![B: $i, A: $i] : ((~positional_advantage(A, B)) | (~smaller_or_equal(age(A, B), tau)) | (~robust_position(A)))) | ((~smaller_or_equal(age(sk2, sk4), tau)) | (~robust_position(sk2)) | (~positional_advantage(sk2, sk4)))) <=> ((~![B: $i, A: $i] : ((~positional_advantage(A, B)) | (~smaller_or_equal(age(A, B), tau)) | (~robust_position(A)))) | (~smaller_or_equal(age(sk2, sk4), tau)) | (~robust_position(sk2)) | (~positional_advantage(sk2, sk4)))),
% 0.20/0.44 inference(rewrite,[status(thm)],[])).
% 0.20/0.44 tff(21,plain,
% 0.20/0.44 (((~positional_advantage(sk2, sk4)) | (~smaller_or_equal(age(sk2, sk4), tau)) | (~robust_position(sk2))) <=> ((~smaller_or_equal(age(sk2, sk4), tau)) | (~robust_position(sk2)) | (~positional_advantage(sk2, sk4)))),
% 0.20/0.44 inference(rewrite,[status(thm)],[])).
% 0.20/0.44 tff(22,plain,
% 0.20/0.44 (((~![B: $i, A: $i] : ((~positional_advantage(A, B)) | (~smaller_or_equal(age(A, B), tau)) | (~robust_position(A)))) | ((~positional_advantage(sk2, sk4)) | (~smaller_or_equal(age(sk2, sk4), tau)) | (~robust_position(sk2)))) <=> ((~![B: $i, A: $i] : ((~positional_advantage(A, B)) | (~smaller_or_equal(age(A, B), tau)) | (~robust_position(A)))) | ((~smaller_or_equal(age(sk2, sk4), tau)) | (~robust_position(sk2)) | (~positional_advantage(sk2, sk4))))),
% 0.20/0.44 inference(monotonicity,[status(thm)],[21])).
% 0.20/0.44 tff(23,plain,
% 0.20/0.44 (((~![B: $i, A: $i] : ((~positional_advantage(A, B)) | (~smaller_or_equal(age(A, B), tau)) | (~robust_position(A)))) | ((~positional_advantage(sk2, sk4)) | (~smaller_or_equal(age(sk2, sk4), tau)) | (~robust_position(sk2)))) <=> ((~![B: $i, A: $i] : ((~positional_advantage(A, B)) | (~smaller_or_equal(age(A, B), tau)) | (~robust_position(A)))) | (~smaller_or_equal(age(sk2, sk4), tau)) | (~robust_position(sk2)) | (~positional_advantage(sk2, sk4)))),
% 0.20/0.44 inference(transitivity,[status(thm)],[22, 20])).
% 0.20/0.44 tff(24,plain,
% 0.20/0.44 ((~![B: $i, A: $i] : ((~positional_advantage(A, B)) | (~smaller_or_equal(age(A, B), tau)) | (~robust_position(A)))) | ((~positional_advantage(sk2, sk4)) | (~smaller_or_equal(age(sk2, sk4), tau)) | (~robust_position(sk2)))),
% 0.20/0.44 inference(quant_inst,[status(thm)],[])).
% 0.20/0.44 tff(25,plain,
% 0.20/0.44 ((~![B: $i, A: $i] : ((~positional_advantage(A, B)) | (~smaller_or_equal(age(A, B), tau)) | (~robust_position(A)))) | (~smaller_or_equal(age(sk2, sk4), tau)) | (~robust_position(sk2)) | (~positional_advantage(sk2, sk4))),
% 0.20/0.44 inference(modus_ponens,[status(thm)],[24, 23])).
% 0.20/0.44 tff(26,plain,
% 0.20/0.44 (~positional_advantage(sk2, sk4)),
% 0.20/0.44 inference(unit_resolution,[status(thm)],[25, 19, 9, 6])).
% 0.20/0.44 tff(27,plain,
% 0.20/0.44 (^[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))))),
% 0.20/0.44 inference(bind,[status(th)],[])).
% 0.20/0.44 tff(28,plain,
% 0.20/0.44 (![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)))),
% 0.20/0.44 inference(quant_intro,[status(thm)],[27])).
% 0.20/0.44 tff(29,plain,
% 0.20/0.44 (![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)))),
% 0.20/0.44 inference(rewrite,[status(thm)],[])).
% 0.20/0.44 tff(30,plain,
% 0.20/0.44 (^[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))))),
% 0.20/0.44 inference(bind,[status(th)],[])).
% 0.20/0.44 tff(31,plain,
% 0.20/0.44 (![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)))),
% 0.20/0.44 inference(quant_intro,[status(thm)],[30])).
% 0.20/0.44 tff(32,axiom,(![B: $i, A: $i] : (((~robust_position(A)) | (~greater(age(A, B), tau))) | positional_advantage(A, B))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','definition_4_51')).
% 0.20/0.44 tff(33,plain,
% 0.20/0.44 (![B: $i, A: $i] : (positional_advantage(A, B) | (~robust_position(A)) | (~greater(age(A, B), tau)))),
% 0.20/0.44 inference(modus_ponens,[status(thm)],[32, 31])).
% 0.20/0.44 tff(34,plain,
% 0.20/0.44 (![B: $i, A: $i] : (positional_advantage(A, B) | (~robust_position(A)) | (~greater(age(A, B), tau)))),
% 0.20/0.44 inference(modus_ponens,[status(thm)],[33, 29])).
% 0.20/0.44 tff(35,plain,(
% 0.20/0.44 ![B: $i, A: $i] : (positional_advantage(A, B) | (~robust_position(A)) | (~greater(age(A, B), tau)))),
% 0.20/0.44 inference(skolemize,[status(sab)],[34])).
% 0.20/0.44 tff(36,plain,
% 0.20/0.44 (![B: $i, A: $i] : (positional_advantage(A, B) | (~robust_position(A)) | (~greater(age(A, B), tau)))),
% 0.20/0.44 inference(modus_ponens,[status(thm)],[35, 28])).
% 0.20/0.44 tff(37,plain,
% 0.20/0.44 (((~![B: $i, A: $i] : (positional_advantage(A, B) | (~robust_position(A)) | (~greater(age(A, B), tau)))) | ((~robust_position(sk2)) | positional_advantage(sk2, sk4) | (~greater(age(sk2, sk4), tau)))) <=> ((~![B: $i, A: $i] : (positional_advantage(A, B) | (~robust_position(A)) | (~greater(age(A, B), tau)))) | (~robust_position(sk2)) | positional_advantage(sk2, sk4) | (~greater(age(sk2, sk4), tau)))),
% 0.20/0.44 inference(rewrite,[status(thm)],[])).
% 0.20/0.44 tff(38,plain,
% 0.20/0.44 ((positional_advantage(sk2, sk4) | (~robust_position(sk2)) | (~greater(age(sk2, sk4), tau))) <=> ((~robust_position(sk2)) | positional_advantage(sk2, sk4) | (~greater(age(sk2, sk4), tau)))),
% 0.20/0.44 inference(rewrite,[status(thm)],[])).
% 0.20/0.44 tff(39,plain,
% 0.20/0.44 (((~![B: $i, A: $i] : (positional_advantage(A, B) | (~robust_position(A)) | (~greater(age(A, B), tau)))) | (positional_advantage(sk2, sk4) | (~robust_position(sk2)) | (~greater(age(sk2, sk4), tau)))) <=> ((~![B: $i, A: $i] : (positional_advantage(A, B) | (~robust_position(A)) | (~greater(age(A, B), tau)))) | ((~robust_position(sk2)) | positional_advantage(sk2, sk4) | (~greater(age(sk2, sk4), tau))))),
% 0.20/0.44 inference(monotonicity,[status(thm)],[38])).
% 0.20/0.44 tff(40,plain,
% 0.20/0.44 (((~![B: $i, A: $i] : (positional_advantage(A, B) | (~robust_position(A)) | (~greater(age(A, B), tau)))) | (positional_advantage(sk2, sk4) | (~robust_position(sk2)) | (~greater(age(sk2, sk4), tau)))) <=> ((~![B: $i, A: $i] : (positional_advantage(A, B) | (~robust_position(A)) | (~greater(age(A, B), tau)))) | (~robust_position(sk2)) | positional_advantage(sk2, sk4) | (~greater(age(sk2, sk4), tau)))),
% 0.20/0.44 inference(transitivity,[status(thm)],[39, 37])).
% 0.20/0.44 tff(41,plain,
% 0.20/0.44 ((~![B: $i, A: $i] : (positional_advantage(A, B) | (~robust_position(A)) | (~greater(age(A, B), tau)))) | (positional_advantage(sk2, sk4) | (~robust_position(sk2)) | (~greater(age(sk2, sk4), tau)))),
% 0.20/0.44 inference(quant_inst,[status(thm)],[])).
% 0.20/0.44 tff(42,plain,
% 0.20/0.44 ((~![B: $i, A: $i] : (positional_advantage(A, B) | (~robust_position(A)) | (~greater(age(A, B), tau)))) | (~robust_position(sk2)) | positional_advantage(sk2, sk4) | (~greater(age(sk2, sk4), tau))),
% 0.20/0.44 inference(modus_ponens,[status(thm)],[41, 40])).
% 0.20/0.44 tff(43,plain,
% 0.20/0.44 (positional_advantage(sk2, sk4) | (~greater(age(sk2, sk4), tau))),
% 0.20/0.44 inference(unit_resolution,[status(thm)],[42, 36, 9])).
% 0.20/0.44 tff(44,plain,
% 0.20/0.44 (~greater(age(sk2, sk4), tau)),
% 0.20/0.44 inference(unit_resolution,[status(thm)],[43, 26])).
% 0.20/0.44 tff(45,plain,
% 0.20/0.44 (organization(sk2) <=> organization(sk2)),
% 0.20/0.44 inference(rewrite,[status(thm)],[])).
% 0.20/0.44 tff(46,axiom,(organization(sk2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','theorem_8_62')).
% 0.20/0.44 tff(47,plain,
% 0.20/0.44 (organization(sk2)),
% 0.20/0.44 inference(modus_ponens,[status(thm)],[46, 45])).
% 0.20/0.44 tff(48,plain,
% 0.20/0.44 (^[B: $i, A: $i, C: $i] : refl(((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), tau) | (~(age(A, B) = age(sk2, sk3)))) <=> ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), tau) | (~(age(A, B) = age(sk2, sk3)))))),
% 0.20/0.44 inference(bind,[status(th)],[])).
% 0.20/0.44 tff(49,plain,
% 0.20/0.44 (![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), tau) | (~(age(A, B) = age(sk2, sk3)))) <=> ![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), tau) | (~(age(A, B) = age(sk2, sk3))))),
% 0.20/0.44 inference(quant_intro,[status(thm)],[48])).
% 0.20/0.44 tff(50,plain,
% 0.20/0.44 (^[B: $i, A: $i, C: $i] : trans(monotonicity(rewrite(greater(age(A, C), sigma) <=> greater(age(A, C), tau)), rewrite((~(age(A, B) = zero)) <=> (~(age(A, B) = age(sk2, sk3)))), (((~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), tau) | (~(age(A, B) = age(sk2, sk3)))))), rewrite(((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), tau) | (~(age(A, B) = age(sk2, sk3)))) <=> ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), tau) | (~(age(A, B) = age(sk2, sk3))))), (((~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), tau) | (~(age(A, B) = age(sk2, sk3))))))),
% 0.20/0.44 inference(bind,[status(th)],[])).
% 0.20/0.44 tff(51,plain,
% 0.20/0.44 (![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), tau) | (~(age(A, B) = age(sk2, sk3))))),
% 0.20/0.44 inference(quant_intro,[status(thm)],[50])).
% 0.20/0.44 tff(52,plain,
% 0.20/0.44 (![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)))),
% 0.20/0.44 inference(rewrite,[status(thm)],[])).
% 0.20/0.44 tff(53,plain,
% 0.20/0.44 (^[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)))))),
% 0.20/0.44 inference(bind,[status(th)],[])).
% 0.20/0.44 tff(54,plain,
% 0.20/0.44 (![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)))),
% 0.20/0.44 inference(quant_intro,[status(thm)],[53])).
% 0.20/0.44 tff(55,axiom,(![B: $i, A: $i, C: $i] : ((((~organization(A)) | (~(age(A, B) = zero))) | (~dissimilar(A, B, C))) | greater(age(A, C), sigma))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','assumption_15_49')).
% 0.20/0.44 tff(56,plain,
% 0.20/0.44 (![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = zero)))),
% 0.20/0.44 inference(modus_ponens,[status(thm)],[55, 54])).
% 0.20/0.44 tff(57,plain,
% 0.20/0.44 (![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = zero)))),
% 0.20/0.44 inference(modus_ponens,[status(thm)],[56, 52])).
% 0.20/0.44 tff(58,plain,
% 0.20/0.44 (![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), tau) | (~(age(A, B) = age(sk2, sk3))))),
% 0.20/0.44 inference(modus_ponens,[status(thm)],[57, 51])).
% 0.20/0.44 tff(59,plain,(
% 0.20/0.44 ![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), tau) | (~(age(A, B) = age(sk2, sk3))))),
% 0.20/0.44 inference(skolemize,[status(sab)],[58])).
% 0.20/0.44 tff(60,plain,
% 0.20/0.44 (![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), tau) | (~(age(A, B) = age(sk2, sk3))))),
% 0.20/0.44 inference(modus_ponens,[status(thm)],[59, 49])).
% 0.20/0.44 tff(61,plain,
% 0.20/0.44 (((~![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), tau) | (~(age(A, B) = age(sk2, sk3))))) | ((~organization(sk2)) | greater(age(sk2, sk4), tau) | (~dissimilar(sk2, sk3, sk4)))) <=> ((~![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), tau) | (~(age(A, B) = age(sk2, sk3))))) | (~organization(sk2)) | greater(age(sk2, sk4), tau) | (~dissimilar(sk2, sk3, sk4)))),
% 0.20/0.44 inference(rewrite,[status(thm)],[])).
% 0.20/0.44 tff(62,plain,
% 0.20/0.44 (((~dissimilar(sk2, sk3, sk4)) | (~organization(sk2)) | greater(age(sk2, sk4), tau) | $false) <=> ((~organization(sk2)) | greater(age(sk2, sk4), tau) | (~dissimilar(sk2, sk3, sk4)))),
% 0.20/0.44 inference(rewrite,[status(thm)],[])).
% 0.20/0.44 tff(63,plain,
% 0.20/0.44 ((~$true) <=> $false),
% 0.20/0.44 inference(rewrite,[status(thm)],[])).
% 0.20/0.44 tff(64,plain,
% 0.20/0.44 ((age(sk2, sk3) = age(sk2, sk3)) <=> $true),
% 0.20/0.44 inference(rewrite,[status(thm)],[])).
% 0.20/0.44 tff(65,plain,
% 0.20/0.44 ((~(age(sk2, sk3) = age(sk2, sk3))) <=> (~$true)),
% 0.20/0.44 inference(monotonicity,[status(thm)],[64])).
% 0.20/0.44 tff(66,plain,
% 0.20/0.44 ((~(age(sk2, sk3) = age(sk2, sk3))) <=> $false),
% 0.20/0.44 inference(transitivity,[status(thm)],[65, 63])).
% 0.20/0.44 tff(67,plain,
% 0.20/0.44 (((~dissimilar(sk2, sk3, sk4)) | (~organization(sk2)) | greater(age(sk2, sk4), tau) | (~(age(sk2, sk3) = age(sk2, sk3)))) <=> ((~dissimilar(sk2, sk3, sk4)) | (~organization(sk2)) | greater(age(sk2, sk4), tau) | $false)),
% 0.20/0.44 inference(monotonicity,[status(thm)],[66])).
% 0.20/0.44 tff(68,plain,
% 0.20/0.44 (((~dissimilar(sk2, sk3, sk4)) | (~organization(sk2)) | greater(age(sk2, sk4), tau) | (~(age(sk2, sk3) = age(sk2, sk3)))) <=> ((~organization(sk2)) | greater(age(sk2, sk4), tau) | (~dissimilar(sk2, sk3, sk4)))),
% 0.20/0.44 inference(transitivity,[status(thm)],[67, 62])).
% 0.20/0.44 tff(69,plain,
% 0.20/0.44 (((~![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), tau) | (~(age(A, B) = age(sk2, sk3))))) | ((~dissimilar(sk2, sk3, sk4)) | (~organization(sk2)) | greater(age(sk2, sk4), tau) | (~(age(sk2, sk3) = age(sk2, sk3))))) <=> ((~![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), tau) | (~(age(A, B) = age(sk2, sk3))))) | ((~organization(sk2)) | greater(age(sk2, sk4), tau) | (~dissimilar(sk2, sk3, sk4))))),
% 0.20/0.45 inference(monotonicity,[status(thm)],[68])).
% 0.20/0.45 tff(70,plain,
% 0.20/0.45 (((~![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), tau) | (~(age(A, B) = age(sk2, sk3))))) | ((~dissimilar(sk2, sk3, sk4)) | (~organization(sk2)) | greater(age(sk2, sk4), tau) | (~(age(sk2, sk3) = age(sk2, sk3))))) <=> ((~![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), tau) | (~(age(A, B) = age(sk2, sk3))))) | (~organization(sk2)) | greater(age(sk2, sk4), tau) | (~dissimilar(sk2, sk3, sk4)))),
% 0.20/0.45 inference(transitivity,[status(thm)],[69, 61])).
% 0.20/0.45 tff(71,plain,
% 0.20/0.45 ((~![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), tau) | (~(age(A, B) = age(sk2, sk3))))) | ((~dissimilar(sk2, sk3, sk4)) | (~organization(sk2)) | greater(age(sk2, sk4), tau) | (~(age(sk2, sk3) = age(sk2, sk3))))),
% 0.20/0.45 inference(quant_inst,[status(thm)],[])).
% 0.20/0.45 tff(72,plain,
% 0.20/0.45 ((~![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), tau) | (~(age(A, B) = age(sk2, sk3))))) | (~organization(sk2)) | greater(age(sk2, sk4), tau) | (~dissimilar(sk2, sk3, sk4))),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[71, 70])).
% 0.20/0.45 tff(73,plain,
% 0.20/0.45 ($false),
% 0.20/0.45 inference(unit_resolution,[status(thm)],[72, 60, 47, 44, 1])).
% 0.20/0.45 tff(74,plain,(~dissimilar(sk2, sk3, sk4)), inference(lemma,lemma(discharge,[]))).
% 0.20/0.45 tff(75,plain,
% 0.20/0.45 (^[B: $i, A: $i] : refl(((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = age(sk2, sk3)))) <=> ((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = age(sk2, sk3)))))),
% 0.20/0.45 inference(bind,[status(th)],[])).
% 0.20/0.45 tff(76,plain,
% 0.20/0.45 (![B: $i, A: $i] : ((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = age(sk2, sk3)))) <=> ![B: $i, A: $i] : ((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = age(sk2, sk3))))),
% 0.20/0.45 inference(quant_intro,[status(thm)],[75])).
% 0.20/0.45 tff(77,plain,
% 0.20/0.45 (^[B: $i, A: $i] : trans(monotonicity(rewrite((~(age(A, B) = zero)) <=> (~(age(A, B) = age(sk2, sk3)))), (((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = zero))) <=> ((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = age(sk2, sk3)))))), rewrite(((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = age(sk2, sk3)))) <=> ((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = age(sk2, sk3))))), (((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = zero))) <=> ((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = age(sk2, sk3))))))),
% 0.20/0.45 inference(bind,[status(th)],[])).
% 0.20/0.45 tff(78,plain,
% 0.20/0.45 (![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(sk2, sk3))))),
% 0.20/0.45 inference(quant_intro,[status(thm)],[77])).
% 0.20/0.45 tff(79,plain,
% 0.20/0.45 (![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)))),
% 0.20/0.45 inference(rewrite,[status(thm)],[])).
% 0.20/0.45 tff(80,plain,
% 0.20/0.45 (^[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))))),
% 0.20/0.45 inference(bind,[status(th)],[])).
% 0.20/0.45 tff(81,plain,
% 0.20/0.45 (![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)))),
% 0.20/0.45 inference(quant_intro,[status(thm)],[80])).
% 0.20/0.45 tff(82,axiom,(![B: $i, A: $i] : (((~organization(A)) | (~(age(A, B) = zero))) | is_aligned(A, B))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','assumption_13_47')).
% 0.20/0.45 tff(83,plain,
% 0.20/0.45 (![B: $i, A: $i] : ((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = zero)))),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[82, 81])).
% 0.20/0.45 tff(84,plain,
% 0.20/0.45 (![B: $i, A: $i] : ((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = zero)))),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[83, 79])).
% 0.20/0.45 tff(85,plain,
% 0.20/0.45 (![B: $i, A: $i] : ((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = age(sk2, sk3))))),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[84, 78])).
% 0.20/0.45 tff(86,plain,(
% 0.20/0.45 ![B: $i, A: $i] : ((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = age(sk2, sk3))))),
% 0.20/0.45 inference(skolemize,[status(sab)],[85])).
% 0.20/0.45 tff(87,plain,
% 0.20/0.45 (![B: $i, A: $i] : ((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = age(sk2, sk3))))),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[86, 76])).
% 0.20/0.45 tff(88,plain,
% 0.20/0.45 (((~![B: $i, A: $i] : ((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = age(sk2, sk3))))) | ((~organization(sk2)) | is_aligned(sk2, sk3))) <=> ((~![B: $i, A: $i] : ((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = age(sk2, sk3))))) | (~organization(sk2)) | is_aligned(sk2, sk3))),
% 0.20/0.45 inference(rewrite,[status(thm)],[])).
% 0.20/0.45 tff(89,plain,
% 0.20/0.45 (((~organization(sk2)) | is_aligned(sk2, sk3) | $false) <=> ((~organization(sk2)) | is_aligned(sk2, sk3))),
% 0.20/0.45 inference(rewrite,[status(thm)],[])).
% 0.20/0.45 tff(90,plain,
% 0.20/0.45 (((~organization(sk2)) | is_aligned(sk2, sk3) | (~(age(sk2, sk3) = age(sk2, sk3)))) <=> ((~organization(sk2)) | is_aligned(sk2, sk3) | $false)),
% 0.20/0.45 inference(monotonicity,[status(thm)],[66])).
% 0.20/0.45 tff(91,plain,
% 0.20/0.45 (((~organization(sk2)) | is_aligned(sk2, sk3) | (~(age(sk2, sk3) = age(sk2, sk3)))) <=> ((~organization(sk2)) | is_aligned(sk2, sk3))),
% 0.20/0.45 inference(transitivity,[status(thm)],[90, 89])).
% 0.20/0.45 tff(92,plain,
% 0.20/0.45 (((~![B: $i, A: $i] : ((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = age(sk2, sk3))))) | ((~organization(sk2)) | is_aligned(sk2, sk3) | (~(age(sk2, sk3) = age(sk2, sk3))))) <=> ((~![B: $i, A: $i] : ((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = age(sk2, sk3))))) | ((~organization(sk2)) | is_aligned(sk2, sk3)))),
% 0.20/0.45 inference(monotonicity,[status(thm)],[91])).
% 0.20/0.45 tff(93,plain,
% 0.20/0.45 (((~![B: $i, A: $i] : ((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = age(sk2, sk3))))) | ((~organization(sk2)) | is_aligned(sk2, sk3) | (~(age(sk2, sk3) = age(sk2, sk3))))) <=> ((~![B: $i, A: $i] : ((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = age(sk2, sk3))))) | (~organization(sk2)) | is_aligned(sk2, sk3))),
% 0.20/0.45 inference(transitivity,[status(thm)],[92, 88])).
% 0.20/0.45 tff(94,plain,
% 0.20/0.45 ((~![B: $i, A: $i] : ((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = age(sk2, sk3))))) | ((~organization(sk2)) | is_aligned(sk2, sk3) | (~(age(sk2, sk3) = age(sk2, sk3))))),
% 0.20/0.45 inference(quant_inst,[status(thm)],[])).
% 0.20/0.45 tff(95,plain,
% 0.20/0.45 ((~![B: $i, A: $i] : ((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = age(sk2, sk3))))) | (~organization(sk2)) | is_aligned(sk2, sk3)),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[94, 93])).
% 0.20/0.45 tff(96,plain,
% 0.20/0.45 (is_aligned(sk2, sk3)),
% 0.20/0.45 inference(unit_resolution,[status(thm)],[95, 87, 47])).
% 0.20/0.45 tff(97,plain,
% 0.20/0.45 (^[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))))),
% 0.20/0.45 inference(bind,[status(th)],[])).
% 0.20/0.45 tff(98,plain,
% 0.20/0.45 (![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)))),
% 0.20/0.45 inference(quant_intro,[status(thm)],[97])).
% 0.20/0.45 tff(99,plain,
% 0.20/0.45 (![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)))),
% 0.20/0.45 inference(rewrite,[status(thm)],[])).
% 0.20/0.45 tff(100,plain,
% 0.20/0.45 (^[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)))))),
% 0.20/0.45 inference(bind,[status(th)],[])).
% 0.20/0.45 tff(101,plain,
% 0.20/0.45 (![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)))),
% 0.20/0.45 inference(quant_intro,[status(thm)],[100])).
% 0.20/0.45 tff(102,axiom,(![B: $i, A: $i, C: $i] : ((((~organization(A)) | (~is_aligned(A, B))) | is_aligned(A, C)) | dissimilar(A, B, C))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','definition_2_44')).
% 0.20/0.45 tff(103,plain,
% 0.20/0.45 (![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | is_aligned(A, C) | (~is_aligned(A, B)) | (~organization(A)))),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[102, 101])).
% 0.20/0.45 tff(104,plain,
% 0.20/0.45 (![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | is_aligned(A, C) | (~is_aligned(A, B)) | (~organization(A)))),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[103, 99])).
% 0.20/0.45 tff(105,plain,(
% 0.20/0.45 ![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | is_aligned(A, C) | (~is_aligned(A, B)) | (~organization(A)))),
% 0.20/0.45 inference(skolemize,[status(sab)],[104])).
% 0.20/0.45 tff(106,plain,
% 0.20/0.45 (![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | is_aligned(A, C) | (~is_aligned(A, B)) | (~organization(A)))),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[105, 98])).
% 0.20/0.45 tff(107,plain,
% 0.20/0.45 (((~![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | is_aligned(A, C) | (~is_aligned(A, B)) | (~organization(A)))) | ((~organization(sk2)) | is_aligned(sk2, sk4) | (~is_aligned(sk2, sk3)) | dissimilar(sk2, sk3, sk4))) <=> ((~![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | is_aligned(A, C) | (~is_aligned(A, B)) | (~organization(A)))) | (~organization(sk2)) | is_aligned(sk2, sk4) | (~is_aligned(sk2, sk3)) | dissimilar(sk2, sk3, sk4))),
% 0.20/0.45 inference(rewrite,[status(thm)],[])).
% 0.20/0.45 tff(108,plain,
% 0.20/0.45 ((dissimilar(sk2, sk3, sk4) | is_aligned(sk2, sk4) | (~is_aligned(sk2, sk3)) | (~organization(sk2))) <=> ((~organization(sk2)) | is_aligned(sk2, sk4) | (~is_aligned(sk2, sk3)) | dissimilar(sk2, sk3, sk4))),
% 0.20/0.45 inference(rewrite,[status(thm)],[])).
% 0.20/0.45 tff(109,plain,
% 0.20/0.45 (((~![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | is_aligned(A, C) | (~is_aligned(A, B)) | (~organization(A)))) | (dissimilar(sk2, sk3, sk4) | is_aligned(sk2, sk4) | (~is_aligned(sk2, sk3)) | (~organization(sk2)))) <=> ((~![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | is_aligned(A, C) | (~is_aligned(A, B)) | (~organization(A)))) | ((~organization(sk2)) | is_aligned(sk2, sk4) | (~is_aligned(sk2, sk3)) | dissimilar(sk2, sk3, sk4)))),
% 0.20/0.45 inference(monotonicity,[status(thm)],[108])).
% 0.20/0.45 tff(110,plain,
% 0.20/0.45 (((~![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | is_aligned(A, C) | (~is_aligned(A, B)) | (~organization(A)))) | (dissimilar(sk2, sk3, sk4) | is_aligned(sk2, sk4) | (~is_aligned(sk2, sk3)) | (~organization(sk2)))) <=> ((~![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | is_aligned(A, C) | (~is_aligned(A, B)) | (~organization(A)))) | (~organization(sk2)) | is_aligned(sk2, sk4) | (~is_aligned(sk2, sk3)) | dissimilar(sk2, sk3, sk4))),
% 0.20/0.45 inference(transitivity,[status(thm)],[109, 107])).
% 0.20/0.45 tff(111,plain,
% 0.20/0.45 ((~![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | is_aligned(A, C) | (~is_aligned(A, B)) | (~organization(A)))) | (dissimilar(sk2, sk3, sk4) | is_aligned(sk2, sk4) | (~is_aligned(sk2, sk3)) | (~organization(sk2)))),
% 0.20/0.45 inference(quant_inst,[status(thm)],[])).
% 0.20/0.45 tff(112,plain,
% 0.20/0.45 ((~![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | is_aligned(A, C) | (~is_aligned(A, B)) | (~organization(A)))) | (~organization(sk2)) | is_aligned(sk2, sk4) | (~is_aligned(sk2, sk3)) | dissimilar(sk2, sk3, sk4)),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[111, 110])).
% 0.20/0.45 tff(113,plain,
% 0.20/0.45 (is_aligned(sk2, sk4) | dissimilar(sk2, sk3, sk4)),
% 0.20/0.45 inference(unit_resolution,[status(thm)],[112, 106, 47, 96])).
% 0.20/0.45 tff(114,plain,
% 0.20/0.45 (is_aligned(sk2, sk4)),
% 0.20/0.45 inference(unit_resolution,[status(thm)],[113, 74])).
% 0.20/0.45 tff(115,assumption,(has_immunity(sk2, sk4)), introduced(assumption)).
% 0.20/0.45 tff(116,plain,
% 0.20/0.45 ((~has_endowment(sk2)) <=> (~has_endowment(sk2))),
% 0.20/0.45 inference(rewrite,[status(thm)],[])).
% 0.20/0.45 tff(117,axiom,(~has_endowment(sk2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','theorem_8_64')).
% 0.20/0.45 tff(118,plain,
% 0.20/0.45 (~has_endowment(sk2)),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[117, 116])).
% 0.20/0.45 tff(119,plain,
% 0.20/0.45 (^[B: $i, A: $i] : refl(((~has_immunity(A, B)) | has_endowment(A) | (~organization(A))) <=> ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A))))),
% 0.20/0.45 inference(bind,[status(th)],[])).
% 0.20/0.45 tff(120,plain,
% 0.20/0.45 (![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A))) <=> ![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))),
% 0.20/0.45 inference(quant_intro,[status(thm)],[119])).
% 0.20/0.45 tff(121,plain,
% 0.20/0.45 (![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A))) <=> ![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))),
% 0.20/0.45 inference(rewrite,[status(thm)],[])).
% 0.20/0.45 tff(122,plain,
% 0.20/0.45 (^[B: $i, A: $i] : trans(monotonicity(rewrite(((~organization(A)) | has_endowment(A)) <=> (has_endowment(A) | (~organization(A)))), ((((~organization(A)) | has_endowment(A)) | (~has_immunity(A, B))) <=> ((has_endowment(A) | (~organization(A))) | (~has_immunity(A, B))))), rewrite(((has_endowment(A) | (~organization(A))) | (~has_immunity(A, B))) <=> ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))), ((((~organization(A)) | has_endowment(A)) | (~has_immunity(A, B))) <=> ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))))),
% 0.20/0.45 inference(bind,[status(th)],[])).
% 0.20/0.45 tff(123,plain,
% 0.20/0.45 (![B: $i, A: $i] : (((~organization(A)) | has_endowment(A)) | (~has_immunity(A, B))) <=> ![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))),
% 0.20/0.45 inference(quant_intro,[status(thm)],[122])).
% 0.20/0.45 tff(124,axiom,(![B: $i, A: $i] : (((~organization(A)) | has_endowment(A)) | (~has_immunity(A, B)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','assumption_1_39')).
% 0.20/0.45 tff(125,plain,
% 0.20/0.45 (![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[124, 123])).
% 0.20/0.45 tff(126,plain,
% 0.20/0.45 (![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[125, 121])).
% 0.20/0.45 tff(127,plain,(
% 0.20/0.45 ![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))),
% 0.20/0.45 inference(skolemize,[status(sab)],[126])).
% 0.20/0.45 tff(128,plain,
% 0.20/0.45 (![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[127, 120])).
% 0.20/0.45 tff(129,plain,
% 0.20/0.45 (((~![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))) | (has_endowment(sk2) | (~organization(sk2)) | (~has_immunity(sk2, sk4)))) <=> ((~![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))) | has_endowment(sk2) | (~organization(sk2)) | (~has_immunity(sk2, sk4)))),
% 0.20/0.45 inference(rewrite,[status(thm)],[])).
% 0.20/0.45 tff(130,plain,
% 0.20/0.45 (((~has_immunity(sk2, sk4)) | has_endowment(sk2) | (~organization(sk2))) <=> (has_endowment(sk2) | (~organization(sk2)) | (~has_immunity(sk2, sk4)))),
% 0.20/0.45 inference(rewrite,[status(thm)],[])).
% 0.20/0.45 tff(131,plain,
% 0.20/0.45 (((~![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))) | ((~has_immunity(sk2, sk4)) | has_endowment(sk2) | (~organization(sk2)))) <=> ((~![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))) | (has_endowment(sk2) | (~organization(sk2)) | (~has_immunity(sk2, sk4))))),
% 0.20/0.45 inference(monotonicity,[status(thm)],[130])).
% 0.20/0.45 tff(132,plain,
% 0.20/0.45 (((~![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))) | ((~has_immunity(sk2, sk4)) | has_endowment(sk2) | (~organization(sk2)))) <=> ((~![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))) | has_endowment(sk2) | (~organization(sk2)) | (~has_immunity(sk2, sk4)))),
% 0.20/0.45 inference(transitivity,[status(thm)],[131, 129])).
% 0.20/0.45 tff(133,plain,
% 0.20/0.45 ((~![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))) | ((~has_immunity(sk2, sk4)) | has_endowment(sk2) | (~organization(sk2)))),
% 0.20/0.45 inference(quant_inst,[status(thm)],[])).
% 0.20/0.45 tff(134,plain,
% 0.20/0.45 ((~![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))) | has_endowment(sk2) | (~organization(sk2)) | (~has_immunity(sk2, sk4))),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[133, 132])).
% 0.20/0.45 tff(135,plain,
% 0.20/0.45 ($false),
% 0.20/0.45 inference(unit_resolution,[status(thm)],[134, 128, 47, 118, 115])).
% 0.20/0.45 tff(136,plain,(~has_immunity(sk2, sk4)), inference(lemma,lemma(discharge,[]))).
% 0.20/0.45 tff(137,plain,
% 0.20/0.45 (^[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)))),
% 0.20/0.45 inference(bind,[status(th)],[])).
% 0.20/0.45 tff(138,plain,
% 0.20/0.45 (![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))),
% 0.20/0.45 inference(quant_intro,[status(thm)],[137])).
% 0.20/0.45 tff(139,plain,
% 0.20/0.45 (![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))),
% 0.20/0.45 inference(rewrite,[status(thm)],[])).
% 0.20/0.45 tff(140,plain,
% 0.20/0.45 (^[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) = 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))))),
% 0.20/0.45 inference(bind,[status(th)],[])).
% 0.20/0.45 tff(141,plain,
% 0.20/0.45 (![B: $i, A: $i] : (((((~organization(A)) | has_immunity(A, B)) | (~is_aligned(A, B))) | positional_advantage(A, B)) | (hazard_of_mortality(A, B) = 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))),
% 0.20/0.45 inference(quant_intro,[status(thm)],[140])).
% 0.20/0.45 tff(142,axiom,(![B: $i, A: $i] : (((((~organization(A)) | has_immunity(A, B)) | (~is_aligned(A, B))) | positional_advantage(A, B)) | (hazard_of_mortality(A, B) = mod2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','assumption_17_59')).
% 0.20/0.45 tff(143,plain,
% 0.20/0.45 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | (~is_aligned(A, B)) | (hazard_of_mortality(A, B) = mod2))),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[142, 141])).
% 0.20/0.45 tff(144,plain,
% 0.20/0.45 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | (~is_aligned(A, B)) | (hazard_of_mortality(A, B) = mod2))),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[143, 139])).
% 0.20/0.45 tff(145,plain,(
% 0.20/0.45 ![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | (~is_aligned(A, B)) | (hazard_of_mortality(A, B) = mod2))),
% 0.20/0.45 inference(skolemize,[status(sab)],[144])).
% 0.20/0.45 tff(146,plain,
% 0.20/0.45 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | (~is_aligned(A, B)) | (hazard_of_mortality(A, B) = mod2))),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[145, 138])).
% 0.20/0.45 tff(147,plain,
% 0.20/0.45 (((~![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)) | positional_advantage(sk2, sk4) | has_immunity(sk2, sk4) | (~is_aligned(sk2, sk4)) | (hazard_of_mortality(sk2, 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(sk2)) | positional_advantage(sk2, sk4) | has_immunity(sk2, sk4) | (~is_aligned(sk2, sk4)) | (hazard_of_mortality(sk2, sk4) = mod2))),
% 0.20/0.45 inference(rewrite,[status(thm)],[])).
% 0.20/0.45 tff(148,plain,
% 0.20/0.45 ((has_immunity(sk2, sk4) | (~organization(sk2)) | positional_advantage(sk2, sk4) | (~is_aligned(sk2, sk4)) | (hazard_of_mortality(sk2, sk4) = mod2)) <=> ((~organization(sk2)) | positional_advantage(sk2, sk4) | has_immunity(sk2, sk4) | (~is_aligned(sk2, sk4)) | (hazard_of_mortality(sk2, sk4) = mod2))),
% 0.20/0.46 inference(rewrite,[status(thm)],[])).
% 0.20/0.46 tff(149,plain,
% 0.20/0.46 (((~![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, sk4) | (~organization(sk2)) | positional_advantage(sk2, sk4) | (~is_aligned(sk2, sk4)) | (hazard_of_mortality(sk2, 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(sk2)) | positional_advantage(sk2, sk4) | has_immunity(sk2, sk4) | (~is_aligned(sk2, sk4)) | (hazard_of_mortality(sk2, sk4) = mod2)))),
% 0.20/0.46 inference(monotonicity,[status(thm)],[148])).
% 0.20/0.46 tff(150,plain,
% 0.20/0.46 (((~![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, sk4) | (~organization(sk2)) | positional_advantage(sk2, sk4) | (~is_aligned(sk2, sk4)) | (hazard_of_mortality(sk2, 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(sk2)) | positional_advantage(sk2, sk4) | has_immunity(sk2, sk4) | (~is_aligned(sk2, sk4)) | (hazard_of_mortality(sk2, sk4) = mod2))),
% 0.20/0.46 inference(transitivity,[status(thm)],[149, 147])).
% 0.20/0.46 tff(151,plain,
% 0.20/0.46 ((~![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, sk4) | (~organization(sk2)) | positional_advantage(sk2, sk4) | (~is_aligned(sk2, sk4)) | (hazard_of_mortality(sk2, sk4) = mod2))),
% 0.20/0.46 inference(quant_inst,[status(thm)],[])).
% 0.20/0.46 tff(152,plain,
% 0.20/0.46 ((~![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)) | positional_advantage(sk2, sk4) | has_immunity(sk2, sk4) | (~is_aligned(sk2, sk4)) | (hazard_of_mortality(sk2, sk4) = mod2)),
% 0.20/0.46 inference(modus_ponens,[status(thm)],[151, 150])).
% 0.20/0.46 tff(153,plain,
% 0.20/0.46 (has_immunity(sk2, sk4) | (~is_aligned(sk2, sk4)) | (hazard_of_mortality(sk2, sk4) = mod2)),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[152, 146, 47, 26])).
% 0.20/0.46 tff(154,plain,
% 0.20/0.46 (hazard_of_mortality(sk2, sk4) = mod2),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[153, 136, 114])).
% 0.20/0.46 tff(155,plain,
% 0.20/0.46 (greater(age(sk2, sk5), sigma) <=> greater(age(sk2, sk5), tau)),
% 0.20/0.46 inference(rewrite,[status(thm)],[])).
% 0.20/0.46 tff(156,plain,
% 0.20/0.46 (greater(age(sk2, sk5), sigma) <=> greater(age(sk2, sk5), sigma)),
% 0.20/0.46 inference(rewrite,[status(thm)],[])).
% 0.20/0.46 tff(157,axiom,(greater(age(sk2, sk5), sigma)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','theorem_8_70')).
% 0.20/0.46 tff(158,plain,
% 0.20/0.46 (greater(age(sk2, sk5), sigma)),
% 0.20/0.46 inference(modus_ponens,[status(thm)],[157, 156])).
% 0.20/0.46 tff(159,plain,
% 0.20/0.46 (greater(age(sk2, sk5), tau)),
% 0.20/0.46 inference(modus_ponens,[status(thm)],[158, 155])).
% 0.20/0.46 tff(160,plain,
% 0.20/0.46 (^[B: $i, A: $i, C: $i] : refl((dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), tau)) | (~(age(A, B) = age(sk2, sk3)))) <=> (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), tau)) | (~(age(A, B) = age(sk2, sk3)))))),
% 0.20/0.46 inference(bind,[status(th)],[])).
% 0.20/0.46 tff(161,plain,
% 0.20/0.46 (![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), tau)) | (~(age(A, B) = age(sk2, sk3)))) <=> ![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), tau)) | (~(age(A, B) = age(sk2, sk3))))),
% 0.20/0.46 inference(quant_intro,[status(thm)],[160])).
% 0.20/0.46 tff(162,plain,
% 0.20/0.46 (^[B: $i, A: $i, C: $i] : trans(monotonicity(rewrite((~greater(age(A, C), sigma)) <=> (~greater(age(A, C), tau))), rewrite((~(age(A, B) = zero)) <=> (~(age(A, B) = age(sk2, sk3)))), ((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), tau)) | (~(age(A, B) = age(sk2, sk3)))))), rewrite((dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), tau)) | (~(age(A, B) = age(sk2, sk3)))) <=> (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), tau)) | (~(age(A, B) = age(sk2, sk3))))), ((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), tau)) | (~(age(A, B) = age(sk2, sk3))))))),
% 0.20/0.46 inference(bind,[status(th)],[])).
% 0.20/0.46 tff(163,plain,
% 0.20/0.46 (![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), tau)) | (~(age(A, B) = age(sk2, sk3))))),
% 0.20/0.46 inference(quant_intro,[status(thm)],[162])).
% 0.20/0.46 tff(164,plain,
% 0.20/0.46 (![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)))),
% 0.20/0.46 inference(rewrite,[status(thm)],[])).
% 0.20/0.46 tff(165,plain,
% 0.20/0.46 (^[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)))))),
% 0.20/0.46 inference(bind,[status(th)],[])).
% 0.20/0.46 tff(166,plain,
% 0.20/0.46 (![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)))),
% 0.20/0.46 inference(quant_intro,[status(thm)],[165])).
% 0.20/0.46 tff(167,axiom,(![B: $i, A: $i, C: $i] : ((((~organization(A)) | (~(age(A, B) = zero))) | (~greater(age(A, C), sigma))) | dissimilar(A, B, C))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','assumption_15_48')).
% 0.20/0.46 tff(168,plain,
% 0.20/0.46 (![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = zero)))),
% 0.20/0.46 inference(modus_ponens,[status(thm)],[167, 166])).
% 0.20/0.46 tff(169,plain,
% 0.20/0.46 (![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = zero)))),
% 0.20/0.46 inference(modus_ponens,[status(thm)],[168, 164])).
% 0.20/0.46 tff(170,plain,
% 0.20/0.46 (![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), tau)) | (~(age(A, B) = age(sk2, sk3))))),
% 0.20/0.46 inference(modus_ponens,[status(thm)],[169, 163])).
% 0.20/0.46 tff(171,plain,(
% 0.20/0.46 ![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), tau)) | (~(age(A, B) = age(sk2, sk3))))),
% 0.20/0.46 inference(skolemize,[status(sab)],[170])).
% 0.20/0.46 tff(172,plain,
% 0.20/0.46 (![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), tau)) | (~(age(A, B) = age(sk2, sk3))))),
% 0.20/0.46 inference(modus_ponens,[status(thm)],[171, 161])).
% 0.20/0.46 tff(173,plain,
% 0.20/0.46 (((~![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), tau)) | (~(age(A, B) = age(sk2, sk3))))) | ((~greater(age(sk2, sk5), tau)) | (~organization(sk2)) | dissimilar(sk2, sk3, sk5))) <=> ((~![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), tau)) | (~(age(A, B) = age(sk2, sk3))))) | (~greater(age(sk2, sk5), tau)) | (~organization(sk2)) | dissimilar(sk2, sk3, sk5))),
% 0.20/0.46 inference(rewrite,[status(thm)],[])).
% 0.20/0.46 tff(174,plain,
% 0.20/0.46 ((dissimilar(sk2, sk3, sk5) | (~organization(sk2)) | (~greater(age(sk2, sk5), tau)) | $false) <=> ((~greater(age(sk2, sk5), tau)) | (~organization(sk2)) | dissimilar(sk2, sk3, sk5))),
% 0.20/0.46 inference(rewrite,[status(thm)],[])).
% 0.20/0.46 tff(175,plain,
% 0.20/0.46 ((dissimilar(sk2, sk3, sk5) | (~organization(sk2)) | (~greater(age(sk2, sk5), tau)) | (~(age(sk2, sk3) = age(sk2, sk3)))) <=> (dissimilar(sk2, sk3, sk5) | (~organization(sk2)) | (~greater(age(sk2, sk5), tau)) | $false)),
% 0.20/0.46 inference(monotonicity,[status(thm)],[66])).
% 0.20/0.46 tff(176,plain,
% 0.20/0.46 ((dissimilar(sk2, sk3, sk5) | (~organization(sk2)) | (~greater(age(sk2, sk5), tau)) | (~(age(sk2, sk3) = age(sk2, sk3)))) <=> ((~greater(age(sk2, sk5), tau)) | (~organization(sk2)) | dissimilar(sk2, sk3, sk5))),
% 0.20/0.46 inference(transitivity,[status(thm)],[175, 174])).
% 0.20/0.46 tff(177,plain,
% 0.20/0.46 (((~![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), tau)) | (~(age(A, B) = age(sk2, sk3))))) | (dissimilar(sk2, sk3, sk5) | (~organization(sk2)) | (~greater(age(sk2, sk5), tau)) | (~(age(sk2, sk3) = age(sk2, sk3))))) <=> ((~![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), tau)) | (~(age(A, B) = age(sk2, sk3))))) | ((~greater(age(sk2, sk5), tau)) | (~organization(sk2)) | dissimilar(sk2, sk3, sk5)))),
% 0.20/0.46 inference(monotonicity,[status(thm)],[176])).
% 0.20/0.46 tff(178,plain,
% 0.20/0.46 (((~![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), tau)) | (~(age(A, B) = age(sk2, sk3))))) | (dissimilar(sk2, sk3, sk5) | (~organization(sk2)) | (~greater(age(sk2, sk5), tau)) | (~(age(sk2, sk3) = age(sk2, sk3))))) <=> ((~![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), tau)) | (~(age(A, B) = age(sk2, sk3))))) | (~greater(age(sk2, sk5), tau)) | (~organization(sk2)) | dissimilar(sk2, sk3, sk5))),
% 0.20/0.46 inference(transitivity,[status(thm)],[177, 173])).
% 0.20/0.46 tff(179,plain,
% 0.20/0.46 ((~![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), tau)) | (~(age(A, B) = age(sk2, sk3))))) | (dissimilar(sk2, sk3, sk5) | (~organization(sk2)) | (~greater(age(sk2, sk5), tau)) | (~(age(sk2, sk3) = age(sk2, sk3))))),
% 0.20/0.46 inference(quant_inst,[status(thm)],[])).
% 0.20/0.46 tff(180,plain,
% 0.20/0.46 ((~![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), tau)) | (~(age(A, B) = age(sk2, sk3))))) | (~greater(age(sk2, sk5), tau)) | (~organization(sk2)) | dissimilar(sk2, sk3, sk5)),
% 0.20/0.46 inference(modus_ponens,[status(thm)],[179, 178])).
% 0.20/0.46 tff(181,plain,
% 0.20/0.46 (dissimilar(sk2, sk3, sk5)),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[180, 172, 47, 159])).
% 0.20/0.46 tff(182,plain,
% 0.20/0.46 (^[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))))),
% 0.20/0.46 inference(bind,[status(th)],[])).
% 0.20/0.46 tff(183,plain,
% 0.20/0.46 (![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)))),
% 0.20/0.46 inference(quant_intro,[status(thm)],[182])).
% 0.20/0.46 tff(184,plain,
% 0.20/0.46 (![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)))),
% 0.20/0.46 inference(rewrite,[status(thm)],[])).
% 0.20/0.46 tff(185,plain,
% 0.20/0.46 (^[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)))))),
% 0.20/0.46 inference(bind,[status(th)],[])).
% 0.20/0.46 tff(186,plain,
% 0.20/0.46 (![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)))),
% 0.20/0.46 inference(quant_intro,[status(thm)],[185])).
% 0.20/0.46 tff(187,axiom,(![B: $i, A: $i, C: $i] : (((~dissimilar(A, B, C)) | (~is_aligned(A, B))) | (~is_aligned(A, C)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','definition_2_42')).
% 0.20/0.46 tff(188,plain,
% 0.20/0.46 (![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~is_aligned(A, C)) | (~is_aligned(A, B)))),
% 0.20/0.46 inference(modus_ponens,[status(thm)],[187, 186])).
% 0.20/0.46 tff(189,plain,
% 0.20/0.46 (![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~is_aligned(A, C)) | (~is_aligned(A, B)))),
% 0.20/0.46 inference(modus_ponens,[status(thm)],[188, 184])).
% 0.20/0.46 tff(190,plain,(
% 0.20/0.46 ![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~is_aligned(A, C)) | (~is_aligned(A, B)))),
% 0.20/0.46 inference(skolemize,[status(sab)],[189])).
% 0.20/0.46 tff(191,plain,
% 0.20/0.46 (![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~is_aligned(A, C)) | (~is_aligned(A, B)))),
% 0.20/0.46 inference(modus_ponens,[status(thm)],[190, 183])).
% 0.20/0.46 tff(192,plain,
% 0.20/0.46 (((~![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~is_aligned(A, C)) | (~is_aligned(A, B)))) | ((~is_aligned(sk2, sk3)) | (~is_aligned(sk2, sk5)) | (~dissimilar(sk2, sk3, sk5)))) <=> ((~![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~is_aligned(A, C)) | (~is_aligned(A, B)))) | (~is_aligned(sk2, sk3)) | (~is_aligned(sk2, sk5)) | (~dissimilar(sk2, sk3, sk5)))),
% 0.20/0.46 inference(rewrite,[status(thm)],[])).
% 0.20/0.46 tff(193,plain,
% 0.20/0.46 (((~dissimilar(sk2, sk3, sk5)) | (~is_aligned(sk2, sk5)) | (~is_aligned(sk2, sk3))) <=> ((~is_aligned(sk2, sk3)) | (~is_aligned(sk2, sk5)) | (~dissimilar(sk2, sk3, sk5)))),
% 0.20/0.46 inference(rewrite,[status(thm)],[])).
% 0.20/0.46 tff(194,plain,
% 0.20/0.46 (((~![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~is_aligned(A, C)) | (~is_aligned(A, B)))) | ((~dissimilar(sk2, sk3, sk5)) | (~is_aligned(sk2, sk5)) | (~is_aligned(sk2, sk3)))) <=> ((~![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~is_aligned(A, C)) | (~is_aligned(A, B)))) | ((~is_aligned(sk2, sk3)) | (~is_aligned(sk2, sk5)) | (~dissimilar(sk2, sk3, sk5))))),
% 0.20/0.46 inference(monotonicity,[status(thm)],[193])).
% 0.20/0.46 tff(195,plain,
% 0.20/0.46 (((~![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~is_aligned(A, C)) | (~is_aligned(A, B)))) | ((~dissimilar(sk2, sk3, sk5)) | (~is_aligned(sk2, sk5)) | (~is_aligned(sk2, sk3)))) <=> ((~![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~is_aligned(A, C)) | (~is_aligned(A, B)))) | (~is_aligned(sk2, sk3)) | (~is_aligned(sk2, sk5)) | (~dissimilar(sk2, sk3, sk5)))),
% 0.20/0.46 inference(transitivity,[status(thm)],[194, 192])).
% 0.20/0.46 tff(196,plain,
% 0.20/0.46 ((~![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~is_aligned(A, C)) | (~is_aligned(A, B)))) | ((~dissimilar(sk2, sk3, sk5)) | (~is_aligned(sk2, sk5)) | (~is_aligned(sk2, sk3)))),
% 0.20/0.46 inference(quant_inst,[status(thm)],[])).
% 0.20/0.46 tff(197,plain,
% 0.20/0.46 ((~![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~is_aligned(A, C)) | (~is_aligned(A, B)))) | (~is_aligned(sk2, sk3)) | (~is_aligned(sk2, sk5)) | (~dissimilar(sk2, sk3, sk5))),
% 0.20/0.46 inference(modus_ponens,[status(thm)],[196, 195])).
% 0.20/0.46 tff(198,plain,
% 0.20/0.46 (~is_aligned(sk2, sk5)),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[197, 191, 96, 181])).
% 0.20/0.46 tff(199,assumption,(has_immunity(sk2, sk5)), introduced(assumption)).
% 0.20/0.46 tff(200,plain,
% 0.20/0.46 (((~![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))) | (has_endowment(sk2) | (~organization(sk2)) | (~has_immunity(sk2, sk5)))) <=> ((~![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))) | has_endowment(sk2) | (~organization(sk2)) | (~has_immunity(sk2, sk5)))),
% 0.20/0.46 inference(rewrite,[status(thm)],[])).
% 0.20/0.46 tff(201,plain,
% 0.20/0.46 (((~has_immunity(sk2, sk5)) | has_endowment(sk2) | (~organization(sk2))) <=> (has_endowment(sk2) | (~organization(sk2)) | (~has_immunity(sk2, sk5)))),
% 0.20/0.46 inference(rewrite,[status(thm)],[])).
% 0.20/0.46 tff(202,plain,
% 0.20/0.46 (((~![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))) | ((~has_immunity(sk2, sk5)) | has_endowment(sk2) | (~organization(sk2)))) <=> ((~![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))) | (has_endowment(sk2) | (~organization(sk2)) | (~has_immunity(sk2, sk5))))),
% 0.20/0.46 inference(monotonicity,[status(thm)],[201])).
% 0.20/0.46 tff(203,plain,
% 0.20/0.46 (((~![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))) | ((~has_immunity(sk2, sk5)) | has_endowment(sk2) | (~organization(sk2)))) <=> ((~![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))) | has_endowment(sk2) | (~organization(sk2)) | (~has_immunity(sk2, sk5)))),
% 0.20/0.46 inference(transitivity,[status(thm)],[202, 200])).
% 0.20/0.46 tff(204,plain,
% 0.20/0.46 ((~![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))) | ((~has_immunity(sk2, sk5)) | has_endowment(sk2) | (~organization(sk2)))),
% 0.20/0.46 inference(quant_inst,[status(thm)],[])).
% 0.20/0.46 tff(205,plain,
% 0.20/0.46 ((~![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))) | has_endowment(sk2) | (~organization(sk2)) | (~has_immunity(sk2, sk5))),
% 0.20/0.46 inference(modus_ponens,[status(thm)],[204, 203])).
% 0.20/0.46 tff(206,plain,
% 0.20/0.46 ($false),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[205, 128, 47, 118, 199])).
% 0.20/0.46 tff(207,plain,(~has_immunity(sk2, sk5)), inference(lemma,lemma(discharge,[]))).
% 0.20/0.46 tff(208,plain,
% 0.20/0.46 (((~![B: $i, A: $i] : (positional_advantage(A, B) | (~robust_position(A)) | (~greater(age(A, B), tau)))) | ((~greater(age(sk2, sk5), tau)) | (~robust_position(sk2)) | positional_advantage(sk2, sk5))) <=> ((~![B: $i, A: $i] : (positional_advantage(A, B) | (~robust_position(A)) | (~greater(age(A, B), tau)))) | (~greater(age(sk2, sk5), tau)) | (~robust_position(sk2)) | positional_advantage(sk2, sk5))),
% 0.20/0.46 inference(rewrite,[status(thm)],[])).
% 0.20/0.46 tff(209,plain,
% 0.20/0.46 ((positional_advantage(sk2, sk5) | (~robust_position(sk2)) | (~greater(age(sk2, sk5), tau))) <=> ((~greater(age(sk2, sk5), tau)) | (~robust_position(sk2)) | positional_advantage(sk2, sk5))),
% 0.20/0.46 inference(rewrite,[status(thm)],[])).
% 0.20/0.46 tff(210,plain,
% 0.20/0.46 (((~![B: $i, A: $i] : (positional_advantage(A, B) | (~robust_position(A)) | (~greater(age(A, B), tau)))) | (positional_advantage(sk2, sk5) | (~robust_position(sk2)) | (~greater(age(sk2, sk5), tau)))) <=> ((~![B: $i, A: $i] : (positional_advantage(A, B) | (~robust_position(A)) | (~greater(age(A, B), tau)))) | ((~greater(age(sk2, sk5), tau)) | (~robust_position(sk2)) | positional_advantage(sk2, sk5)))),
% 0.20/0.46 inference(monotonicity,[status(thm)],[209])).
% 0.20/0.46 tff(211,plain,
% 0.20/0.46 (((~![B: $i, A: $i] : (positional_advantage(A, B) | (~robust_position(A)) | (~greater(age(A, B), tau)))) | (positional_advantage(sk2, sk5) | (~robust_position(sk2)) | (~greater(age(sk2, sk5), tau)))) <=> ((~![B: $i, A: $i] : (positional_advantage(A, B) | (~robust_position(A)) | (~greater(age(A, B), tau)))) | (~greater(age(sk2, sk5), tau)) | (~robust_position(sk2)) | positional_advantage(sk2, sk5))),
% 0.20/0.46 inference(transitivity,[status(thm)],[210, 208])).
% 0.20/0.46 tff(212,plain,
% 0.20/0.46 ((~![B: $i, A: $i] : (positional_advantage(A, B) | (~robust_position(A)) | (~greater(age(A, B), tau)))) | (positional_advantage(sk2, sk5) | (~robust_position(sk2)) | (~greater(age(sk2, sk5), tau)))),
% 0.20/0.46 inference(quant_inst,[status(thm)],[])).
% 0.20/0.46 tff(213,plain,
% 0.20/0.46 ((~![B: $i, A: $i] : (positional_advantage(A, B) | (~robust_position(A)) | (~greater(age(A, B), tau)))) | (~greater(age(sk2, sk5), tau)) | (~robust_position(sk2)) | positional_advantage(sk2, sk5)),
% 0.20/0.46 inference(modus_ponens,[status(thm)],[212, 211])).
% 0.20/0.46 tff(214,plain,
% 0.20/0.46 (positional_advantage(sk2, sk5)),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[213, 36, 9, 159])).
% 0.20/0.46 tff(215,plain,
% 0.20/0.46 (^[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)))),
% 0.20/0.46 inference(bind,[status(th)],[])).
% 0.20/0.46 tff(216,plain,
% 0.20/0.46 (![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))),
% 0.20/0.46 inference(quant_intro,[status(thm)],[215])).
% 0.20/0.46 tff(217,plain,
% 0.20/0.46 (![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))),
% 0.20/0.46 inference(rewrite,[status(thm)],[])).
% 0.20/0.46 tff(218,plain,
% 0.20/0.46 (^[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))))),
% 0.20/0.46 inference(bind,[status(th)],[])).
% 0.20/0.46 tff(219,plain,
% 0.20/0.46 (![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))),
% 0.20/0.46 inference(quant_intro,[status(thm)],[218])).
% 0.20/0.46 tff(220,axiom,(![B: $i, A: $i] : (((((~organization(A)) | has_immunity(A, B)) | is_aligned(A, B)) | (~positional_advantage(A, B))) | (hazard_of_mortality(A, B) = mod1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','assumption_17_58')).
% 0.20/0.46 tff(221,plain,
% 0.20/0.46 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = mod1))),
% 0.20/0.46 inference(modus_ponens,[status(thm)],[220, 219])).
% 0.20/0.46 tff(222,plain,
% 0.20/0.46 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = mod1))),
% 0.20/0.46 inference(modus_ponens,[status(thm)],[221, 217])).
% 0.20/0.46 tff(223,plain,(
% 0.20/0.46 ![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = mod1))),
% 0.20/0.46 inference(skolemize,[status(sab)],[222])).
% 0.20/0.46 tff(224,plain,
% 0.20/0.46 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = mod1))),
% 0.20/0.46 inference(modus_ponens,[status(thm)],[223, 216])).
% 0.20/0.46 tff(225,plain,
% 0.20/0.46 (((~![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) | (~positional_advantage(sk2, sk5)) | has_immunity(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) | (~positional_advantage(sk2, sk5)) | has_immunity(sk2, sk5) | (hazard_of_mortality(sk2, sk5) = mod1))),
% 0.20/0.47 inference(rewrite,[status(thm)],[])).
% 0.20/0.47 tff(226,plain,
% 0.20/0.47 ((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) | (~positional_advantage(sk2, sk5)) | has_immunity(sk2, sk5) | (hazard_of_mortality(sk2, sk5) = mod1))),
% 0.20/0.47 inference(rewrite,[status(thm)],[])).
% 0.20/0.47 tff(227,plain,
% 0.20/0.47 (((~![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) | (~positional_advantage(sk2, sk5)) | has_immunity(sk2, sk5) | (hazard_of_mortality(sk2, sk5) = mod1)))),
% 0.20/0.47 inference(monotonicity,[status(thm)],[226])).
% 0.20/0.47 tff(228,plain,
% 0.20/0.47 (((~![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) | (~positional_advantage(sk2, sk5)) | has_immunity(sk2, sk5) | (hazard_of_mortality(sk2, sk5) = mod1))),
% 0.20/0.47 inference(transitivity,[status(thm)],[227, 225])).
% 0.20/0.47 tff(229,plain,
% 0.20/0.47 ((~![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))),
% 0.20/0.47 inference(quant_inst,[status(thm)],[])).
% 0.20/0.47 tff(230,plain,
% 0.20/0.47 ((~![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) | (~positional_advantage(sk2, sk5)) | has_immunity(sk2, sk5) | (hazard_of_mortality(sk2, sk5) = mod1)),
% 0.20/0.47 inference(modus_ponens,[status(thm)],[229, 228])).
% 0.20/0.47 tff(231,plain,
% 0.20/0.47 (is_aligned(sk2, sk5) | has_immunity(sk2, sk5) | (hazard_of_mortality(sk2, sk5) = mod1)),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[230, 224, 47, 214])).
% 0.20/0.47 tff(232,plain,
% 0.20/0.47 (is_aligned(sk2, sk5) | (hazard_of_mortality(sk2, sk5) = mod1)),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[231, 207])).
% 0.20/0.47 tff(233,plain,
% 0.20/0.47 (hazard_of_mortality(sk2, sk5) = mod1),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[232, 198])).
% 0.20/0.47 tff(234,plain,
% 0.20/0.47 (smaller(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4)) <=> smaller(mod1, mod2)),
% 0.20/0.47 inference(monotonicity,[status(thm)],[233, 154])).
% 0.20/0.47 tff(235,plain,
% 0.20/0.47 (smaller(mod1, mod2) <=> smaller(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4))),
% 0.20/0.47 inference(symmetry,[status(thm)],[234])).
% 0.20/0.47 tff(236,plain,
% 0.20/0.47 (greater(mod2, mod1) <=> greater(mod2, mod1)),
% 0.20/0.47 inference(rewrite,[status(thm)],[])).
% 0.20/0.47 tff(237,axiom,(greater(mod2, mod1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','assumption_19_61')).
% 0.20/0.47 tff(238,plain,
% 0.20/0.47 (greater(mod2, mod1)),
% 0.20/0.47 inference(modus_ponens,[status(thm)],[237, 236])).
% 0.20/0.47 tff(239,plain,
% 0.20/0.47 (^[B: $i, A: $i] : refl(((~greater(A, B)) | smaller(B, A)) <=> ((~greater(A, B)) | smaller(B, A)))),
% 0.20/0.47 inference(bind,[status(th)],[])).
% 0.20/0.47 tff(240,plain,
% 0.20/0.47 (![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A)) <=> ![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))),
% 0.20/0.47 inference(quant_intro,[status(thm)],[239])).
% 0.20/0.47 tff(241,plain,
% 0.20/0.47 (![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A)) <=> ![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))),
% 0.20/0.47 inference(rewrite,[status(thm)],[])).
% 0.20/0.47 tff(242,axiom,(![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))), file('/export/starexec/sandbox/benchmark/Axioms/MGT001-0.ax','definition_smaller_8')).
% 0.20/0.47 tff(243,plain,
% 0.20/0.47 (![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))),
% 0.20/0.47 inference(modus_ponens,[status(thm)],[242, 241])).
% 0.20/0.47 tff(244,plain,(
% 0.20/0.47 ![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))),
% 0.20/0.47 inference(skolemize,[status(sab)],[243])).
% 0.20/0.47 tff(245,plain,
% 0.20/0.47 (![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))),
% 0.20/0.47 inference(modus_ponens,[status(thm)],[244, 240])).
% 0.20/0.47 tff(246,plain,
% 0.20/0.47 (((~![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))),
% 0.20/0.47 inference(rewrite,[status(thm)],[])).
% 0.20/0.47 tff(247,plain,
% 0.20/0.47 ((~![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))) | ((~greater(mod2, mod1)) | smaller(mod1, mod2))),
% 0.20/0.47 inference(quant_inst,[status(thm)],[])).
% 0.20/0.47 tff(248,plain,
% 0.20/0.47 ((~![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))) | (~greater(mod2, mod1)) | smaller(mod1, mod2)),
% 0.20/0.47 inference(modus_ponens,[status(thm)],[247, 246])).
% 0.20/0.47 tff(249,plain,
% 0.20/0.47 (smaller(mod1, mod2)),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[248, 245, 238])).
% 0.20/0.47 tff(250,plain,
% 0.20/0.47 (smaller(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4))),
% 0.20/0.47 inference(modus_ponens,[status(thm)],[249, 235])).
% 0.20/0.47 tff(251,assumption,(has_immunity(sk2, sk3)), introduced(assumption)).
% 0.20/0.47 tff(252,plain,
% 0.20/0.47 (((~![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))) | (has_endowment(sk2) | (~organization(sk2)) | (~has_immunity(sk2, sk3)))) <=> ((~![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))) | has_endowment(sk2) | (~organization(sk2)) | (~has_immunity(sk2, sk3)))),
% 0.20/0.47 inference(rewrite,[status(thm)],[])).
% 0.20/0.47 tff(253,plain,
% 0.20/0.47 (((~has_immunity(sk2, sk3)) | has_endowment(sk2) | (~organization(sk2))) <=> (has_endowment(sk2) | (~organization(sk2)) | (~has_immunity(sk2, sk3)))),
% 0.20/0.47 inference(rewrite,[status(thm)],[])).
% 0.20/0.47 tff(254,plain,
% 0.20/0.47 (((~![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))) | ((~has_immunity(sk2, sk3)) | has_endowment(sk2) | (~organization(sk2)))) <=> ((~![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))) | (has_endowment(sk2) | (~organization(sk2)) | (~has_immunity(sk2, sk3))))),
% 0.20/0.47 inference(monotonicity,[status(thm)],[253])).
% 0.20/0.47 tff(255,plain,
% 0.20/0.47 (((~![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))) | ((~has_immunity(sk2, sk3)) | has_endowment(sk2) | (~organization(sk2)))) <=> ((~![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))) | has_endowment(sk2) | (~organization(sk2)) | (~has_immunity(sk2, sk3)))),
% 0.20/0.47 inference(transitivity,[status(thm)],[254, 252])).
% 0.20/0.47 tff(256,plain,
% 0.20/0.47 ((~![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))) | ((~has_immunity(sk2, sk3)) | has_endowment(sk2) | (~organization(sk2)))),
% 0.20/0.47 inference(quant_inst,[status(thm)],[])).
% 0.20/0.47 tff(257,plain,
% 0.20/0.47 ((~![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))) | has_endowment(sk2) | (~organization(sk2)) | (~has_immunity(sk2, sk3))),
% 0.20/0.47 inference(modus_ponens,[status(thm)],[256, 255])).
% 0.20/0.47 tff(258,plain,
% 0.20/0.47 ($false),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[257, 128, 47, 118, 251])).
% 0.20/0.47 tff(259,plain,(~has_immunity(sk2, sk3)), inference(lemma,lemma(discharge,[]))).
% 0.20/0.47 tff(260,plain,
% 0.20/0.47 (greater(sigma, zero) <=> greater(tau, age(sk2, sk3))),
% 0.20/0.47 inference(rewrite,[status(thm)],[])).
% 0.20/0.47 tff(261,plain,
% 0.20/0.47 (greater(sigma, zero) <=> greater(sigma, zero)),
% 0.20/0.47 inference(rewrite,[status(thm)],[])).
% 0.20/0.47 tff(262,axiom,(greater(sigma, zero)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','theorem_8_66')).
% 0.20/0.47 tff(263,plain,
% 0.20/0.47 (greater(sigma, zero)),
% 0.20/0.47 inference(modus_ponens,[status(thm)],[262, 261])).
% 0.20/0.47 tff(264,plain,
% 0.20/0.47 (greater(tau, age(sk2, sk3))),
% 0.20/0.47 inference(modus_ponens,[status(thm)],[263, 260])).
% 0.20/0.47 tff(265,plain,
% 0.20/0.47 (((~![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))) | ((~greater(tau, age(sk2, sk3))) | smaller(age(sk2, sk3), tau))) <=> ((~![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))) | (~greater(tau, age(sk2, sk3))) | smaller(age(sk2, sk3), tau))),
% 0.20/0.47 inference(rewrite,[status(thm)],[])).
% 0.20/0.47 tff(266,plain,
% 0.20/0.47 ((~![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))) | ((~greater(tau, age(sk2, sk3))) | smaller(age(sk2, sk3), tau))),
% 0.20/0.47 inference(quant_inst,[status(thm)],[])).
% 0.20/0.47 tff(267,plain,
% 0.20/0.47 ((~![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))) | (~greater(tau, age(sk2, sk3))) | smaller(age(sk2, sk3), tau)),
% 0.20/0.47 inference(modus_ponens,[status(thm)],[266, 265])).
% 0.20/0.47 tff(268,plain,
% 0.20/0.47 (smaller(age(sk2, sk3), tau)),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[267, 245, 264])).
% 0.20/0.47 tff(269,plain,
% 0.20/0.47 (^[B: $i, A: $i] : refl(((~smaller(A, B)) | smaller_or_equal(A, B)) <=> ((~smaller(A, B)) | smaller_or_equal(A, B)))),
% 0.20/0.47 inference(bind,[status(th)],[])).
% 0.20/0.47 tff(270,plain,
% 0.20/0.47 (![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B)) <=> ![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B))),
% 0.20/0.47 inference(quant_intro,[status(thm)],[269])).
% 0.20/0.47 tff(271,plain,
% 0.20/0.47 (![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B)) <=> ![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B))),
% 0.20/0.47 inference(rewrite,[status(thm)],[])).
% 0.20/0.47 tff(272,axiom,(![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B))), file('/export/starexec/sandbox/benchmark/Axioms/MGT001-0.ax','definition_smaller_or_equal_2')).
% 0.20/0.47 tff(273,plain,
% 0.20/0.47 (![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B))),
% 0.20/0.47 inference(modus_ponens,[status(thm)],[272, 271])).
% 0.20/0.47 tff(274,plain,(
% 0.20/0.47 ![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B))),
% 0.20/0.47 inference(skolemize,[status(sab)],[273])).
% 0.20/0.47 tff(275,plain,
% 0.20/0.47 (![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B))),
% 0.20/0.47 inference(modus_ponens,[status(thm)],[274, 270])).
% 0.20/0.47 tff(276,plain,
% 0.20/0.47 (((~![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B))) | ((~smaller(age(sk2, sk3), tau)) | smaller_or_equal(age(sk2, sk3), tau))) <=> ((~![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B))) | (~smaller(age(sk2, sk3), tau)) | smaller_or_equal(age(sk2, sk3), tau))),
% 0.20/0.47 inference(rewrite,[status(thm)],[])).
% 0.20/0.47 tff(277,plain,
% 0.20/0.47 ((~![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B))) | ((~smaller(age(sk2, sk3), tau)) | smaller_or_equal(age(sk2, sk3), tau))),
% 0.20/0.47 inference(quant_inst,[status(thm)],[])).
% 0.20/0.47 tff(278,plain,
% 0.20/0.47 ((~![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B))) | (~smaller(age(sk2, sk3), tau)) | smaller_or_equal(age(sk2, sk3), tau)),
% 0.20/0.47 inference(modus_ponens,[status(thm)],[277, 276])).
% 0.20/0.47 tff(279,plain,
% 0.20/0.47 (smaller_or_equal(age(sk2, sk3), tau)),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[278, 275, 268])).
% 0.20/0.47 tff(280,plain,
% 0.20/0.47 (((~![B: $i, A: $i] : ((~positional_advantage(A, B)) | (~smaller_or_equal(age(A, B), tau)) | (~robust_position(A)))) | ((~positional_advantage(sk2, sk3)) | (~smaller_or_equal(age(sk2, sk3), tau)) | (~robust_position(sk2)))) <=> ((~![B: $i, A: $i] : ((~positional_advantage(A, B)) | (~smaller_or_equal(age(A, B), tau)) | (~robust_position(A)))) | (~positional_advantage(sk2, sk3)) | (~smaller_or_equal(age(sk2, sk3), tau)) | (~robust_position(sk2)))),
% 0.20/0.47 inference(rewrite,[status(thm)],[])).
% 0.20/0.47 tff(281,plain,
% 0.20/0.47 ((~![B: $i, A: $i] : ((~positional_advantage(A, B)) | (~smaller_or_equal(age(A, B), tau)) | (~robust_position(A)))) | ((~positional_advantage(sk2, sk3)) | (~smaller_or_equal(age(sk2, sk3), tau)) | (~robust_position(sk2)))),
% 0.20/0.47 inference(quant_inst,[status(thm)],[])).
% 0.20/0.47 tff(282,plain,
% 0.20/0.47 ((~![B: $i, A: $i] : ((~positional_advantage(A, B)) | (~smaller_or_equal(age(A, B), tau)) | (~robust_position(A)))) | (~positional_advantage(sk2, sk3)) | (~smaller_or_equal(age(sk2, sk3), tau)) | (~robust_position(sk2))),
% 0.20/0.47 inference(modus_ponens,[status(thm)],[281, 280])).
% 0.20/0.47 tff(283,plain,
% 0.20/0.47 ((~positional_advantage(sk2, sk3)) | (~smaller_or_equal(age(sk2, sk3), tau))),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[282, 19, 9])).
% 0.20/0.47 tff(284,plain,
% 0.20/0.47 (~positional_advantage(sk2, sk3)),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[283, 279])).
% 0.20/0.47 tff(285,plain,
% 0.20/0.47 (((~![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)) | positional_advantage(sk2, sk3) | has_immunity(sk2, sk3) | (~is_aligned(sk2, sk3)) | (hazard_of_mortality(sk2, sk3) = 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)) | positional_advantage(sk2, sk3) | has_immunity(sk2, sk3) | (~is_aligned(sk2, sk3)) | (hazard_of_mortality(sk2, sk3) = mod2))),
% 0.20/0.47 inference(rewrite,[status(thm)],[])).
% 0.20/0.47 tff(286,plain,
% 0.20/0.47 ((has_immunity(sk2, sk3) | (~organization(sk2)) | positional_advantage(sk2, sk3) | (~is_aligned(sk2, sk3)) | (hazard_of_mortality(sk2, sk3) = mod2)) <=> ((~organization(sk2)) | positional_advantage(sk2, sk3) | has_immunity(sk2, sk3) | (~is_aligned(sk2, sk3)) | (hazard_of_mortality(sk2, sk3) = mod2))),
% 0.20/0.47 inference(rewrite,[status(thm)],[])).
% 0.20/0.47 tff(287,plain,
% 0.20/0.47 (((~![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, sk3) | (~organization(sk2)) | positional_advantage(sk2, sk3) | (~is_aligned(sk2, sk3)) | (hazard_of_mortality(sk2, sk3) = 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)) | positional_advantage(sk2, sk3) | has_immunity(sk2, sk3) | (~is_aligned(sk2, sk3)) | (hazard_of_mortality(sk2, sk3) = mod2)))),
% 0.20/0.47 inference(monotonicity,[status(thm)],[286])).
% 0.20/0.47 tff(288,plain,
% 0.20/0.47 (((~![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, sk3) | (~organization(sk2)) | positional_advantage(sk2, sk3) | (~is_aligned(sk2, sk3)) | (hazard_of_mortality(sk2, sk3) = 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)) | positional_advantage(sk2, sk3) | has_immunity(sk2, sk3) | (~is_aligned(sk2, sk3)) | (hazard_of_mortality(sk2, sk3) = mod2))),
% 0.20/0.47 inference(transitivity,[status(thm)],[287, 285])).
% 0.20/0.47 tff(289,plain,
% 0.20/0.47 ((~![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, sk3) | (~organization(sk2)) | positional_advantage(sk2, sk3) | (~is_aligned(sk2, sk3)) | (hazard_of_mortality(sk2, sk3) = mod2))),
% 0.20/0.47 inference(quant_inst,[status(thm)],[])).
% 0.20/0.47 tff(290,plain,
% 0.20/0.47 ((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | (~is_aligned(A, B)) | (hazard_of_mortality(A, B) = mod2))) | (~organization(sk2)) | positional_advantage(sk2, sk3) | has_immunity(sk2, sk3) | (~is_aligned(sk2, sk3)) | (hazard_of_mortality(sk2, sk3) = mod2)),
% 0.20/0.47 inference(modus_ponens,[status(thm)],[289, 288])).
% 0.20/0.47 tff(291,plain,
% 0.20/0.47 (positional_advantage(sk2, sk3) | has_immunity(sk2, sk3) | (hazard_of_mortality(sk2, sk3) = mod2)),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[290, 146, 47, 96])).
% 0.20/0.47 tff(292,plain,
% 0.20/0.47 (has_immunity(sk2, sk3) | (hazard_of_mortality(sk2, sk3) = mod2)),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[291, 284])).
% 0.20/0.48 tff(293,plain,
% 0.20/0.48 (hazard_of_mortality(sk2, sk3) = mod2),
% 0.20/0.48 inference(unit_resolution,[status(thm)],[292, 259])).
% 0.20/0.48 tff(294,plain,
% 0.20/0.48 ((hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3)) <=> (hazard_of_mortality(sk2, sk4) = mod2)),
% 0.20/0.48 inference(monotonicity,[status(thm)],[293])).
% 0.20/0.48 tff(295,plain,
% 0.20/0.48 ((hazard_of_mortality(sk2, sk4) = mod2) <=> (hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3))),
% 0.20/0.48 inference(symmetry,[status(thm)],[294])).
% 0.20/0.48 tff(296,assumption,(hazard_of_mortality(sk2, sk4) = mod2), introduced(assumption)).
% 0.20/0.48 tff(297,plain,
% 0.20/0.48 (hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3)),
% 0.20/0.48 inference(modus_ponens,[status(thm)],[296, 295])).
% 0.20/0.48 tff(298,assumption,(~(hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3))), introduced(assumption)).
% 0.20/0.48 tff(299,plain,
% 0.20/0.48 ($false),
% 0.20/0.48 inference(unit_resolution,[status(thm)],[298, 297])).
% 0.20/0.48 tff(300,plain,((~(hazard_of_mortality(sk2, sk4) = mod2)) | (hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3))), inference(lemma,lemma(discharge,[]))).
% 0.20/0.48 tff(301,plain,
% 0.20/0.48 (hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3)),
% 0.20/0.48 inference(unit_resolution,[status(thm)],[300, 154])).
% 0.20/0.48 tff(302,plain,
% 0.20/0.48 (((~smaller(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4))) | (~(hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3)))) <=> ((~smaller(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4))) | (~(hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3))))),
% 0.20/0.48 inference(rewrite,[status(thm)],[])).
% 0.20/0.48 tff(303,axiom,((~smaller(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4))) | (~(hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','theorem_8_71')).
% 0.20/0.48 tff(304,plain,
% 0.20/0.48 ((~smaller(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4))) | (~(hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3)))),
% 0.20/0.48 inference(modus_ponens,[status(thm)],[303, 302])).
% 0.20/0.48 tff(305,plain,
% 0.20/0.48 ((~smaller(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4))) | (~(hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3)))),
% 0.20/0.48 inference(modus_ponens,[status(thm)],[304, 302])).
% 0.20/0.48 tff(306,plain,
% 0.20/0.48 ((~smaller(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4))) | (~(hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3)))),
% 0.20/0.48 inference(modus_ponens,[status(thm)],[305, 302])).
% 0.20/0.48 tff(307,plain,
% 0.20/0.48 ((~smaller(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4))) | (~(hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3)))),
% 0.20/0.48 inference(modus_ponens,[status(thm)],[306, 302])).
% 0.20/0.48 tff(308,plain,
% 0.20/0.48 ((~smaller(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4))) | (~(hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3)))),
% 0.20/0.48 inference(modus_ponens,[status(thm)],[307, 302])).
% 0.20/0.48 tff(309,plain,
% 0.20/0.48 ((~smaller(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4))) | (~(hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3)))),
% 0.20/0.48 inference(modus_ponens,[status(thm)],[308, 302])).
% 0.20/0.48 tff(310,plain,
% 0.20/0.48 ((~smaller(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4))) | (~(hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3)))),
% 0.20/0.48 inference(modus_ponens,[status(thm)],[309, 302])).
% 0.20/0.48 tff(311,plain,
% 0.20/0.48 ((~smaller(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4))) | (~(hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3)))),
% 0.20/0.48 inference(modus_ponens,[status(thm)],[310, 302])).
% 0.20/0.48 tff(312,plain,
% 0.20/0.48 ((~smaller(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4))) | (~(hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3)))),
% 0.20/0.48 inference(modus_ponens,[status(thm)],[311, 302])).
% 0.20/0.48 tff(313,plain,
% 0.20/0.48 (~smaller(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4))),
% 0.20/0.48 inference(unit_resolution,[status(thm)],[312, 301])).
% 0.20/0.48 tff(314,plain,
% 0.20/0.48 ($false),
% 0.20/0.48 inference(unit_resolution,[status(thm)],[313, 250])).
% 0.20/0.48 % SZS output end Proof
%------------------------------------------------------------------------------