TSTP Solution File: MGT061-1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : MGT061-1 : 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 05:22:18 EDT 2022
% Result : Unsatisfiable 0.20s 0.48s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : MGT061-1 : TPTP v8.1.0. Released v2.4.0.
% 0.04/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.34 % Computer : n007.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Sep 2 02:42:03 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.35 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.35 Usage: tptp [options] [-file:]file
% 0.13/0.35 -h, -? prints this message.
% 0.13/0.35 -smt2 print SMT-LIB2 benchmark.
% 0.13/0.35 -m, -model generate model.
% 0.13/0.35 -p, -proof generate proof.
% 0.13/0.35 -c, -core generate unsat core of named formulas.
% 0.13/0.35 -st, -statistics display statistics.
% 0.13/0.35 -t:timeout set timeout (in second).
% 0.13/0.35 -smt2status display status in smt2 format instead of SZS.
% 0.13/0.35 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.35 -<param>:<value> configuration parameter and value.
% 0.13/0.35 -o:<output-file> file to place output in.
% 0.20/0.48 % SZS status Unsatisfiable
% 0.20/0.48 % SZS output start Proof
% 0.20/0.48 tff(dissimilar_type, type, (
% 0.20/0.48 dissimilar: ( $i * $i * $i ) > $o)).
% 0.20/0.48 tff(sk4_type, type, (
% 0.20/0.48 sk4: $i)).
% 0.20/0.48 tff(sk3_type, type, (
% 0.20/0.48 sk3: $i)).
% 0.20/0.48 tff(sk2_type, type, (
% 0.20/0.48 sk2: $i)).
% 0.20/0.48 tff(is_aligned_type, type, (
% 0.20/0.48 is_aligned: ( $i * $i ) > $o)).
% 0.20/0.48 tff(low_type, type, (
% 0.20/0.48 low: $i)).
% 0.20/0.48 tff(hazard_of_mortality_type, type, (
% 0.20/0.48 hazard_of_mortality: ( $i * $i ) > $i)).
% 0.20/0.48 tff(has_immunity_type, type, (
% 0.20/0.48 has_immunity: ( $i * $i ) > $o)).
% 0.20/0.48 tff(has_endowment_type, type, (
% 0.20/0.48 has_endowment: $i > $o)).
% 0.20/0.48 tff(organization_type, type, (
% 0.20/0.48 organization: $i > $o)).
% 0.20/0.48 tff(positional_advantage_type, type, (
% 0.20/0.48 positional_advantage: ( $i * $i ) > $o)).
% 0.20/0.48 tff(smaller_or_equal_type, type, (
% 0.20/0.48 smaller_or_equal: ( $i * $i ) > $o)).
% 0.20/0.48 tff(sigma_type, type, (
% 0.20/0.48 sigma: $i)).
% 0.20/0.48 tff(age_type, type, (
% 0.20/0.48 age: ( $i * $i ) > $i)).
% 0.20/0.48 tff(smaller_type, type, (
% 0.20/0.48 smaller: ( $i * $i ) > $o)).
% 0.20/0.48 tff(greater_type, type, (
% 0.20/0.48 greater: ( $i * $i ) > $o)).
% 0.20/0.48 tff(zero_type, type, (
% 0.20/0.48 zero: $i)).
% 0.20/0.48 tff(fragile_position_type, type, (
% 0.20/0.48 fragile_position: $i > $o)).
% 0.20/0.48 tff(sk5_type, type, (
% 0.20/0.48 sk5: $i)).
% 0.20/0.48 tff(high_type, type, (
% 0.20/0.48 high: $i)).
% 0.20/0.48 tff(mod2_type, type, (
% 0.20/0.48 mod2: $i)).
% 0.20/0.48 tff(mod1_type, type, (
% 0.20/0.48 mod1: $i)).
% 0.20/0.48 tff(1,assumption,(has_immunity(sk2, sk3)), introduced(assumption)).
% 0.20/0.48 tff(2,plain,
% 0.20/0.48 ((~has_endowment(sk2)) <=> (~has_endowment(sk2))),
% 0.20/0.48 inference(rewrite,[status(thm)],[])).
% 0.20/0.48 tff(3,axiom,(~has_endowment(sk2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','theorem_7_68')).
% 0.20/0.48 tff(4,plain,
% 0.20/0.48 (~has_endowment(sk2)),
% 0.20/0.48 inference(modus_ponens,[status(thm)],[3, 2])).
% 0.20/0.48 tff(5,plain,
% 0.20/0.48 (organization(sk2) <=> organization(sk2)),
% 0.20/0.48 inference(rewrite,[status(thm)],[])).
% 0.20/0.48 tff(6,axiom,(organization(sk2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','theorem_7_66')).
% 0.20/0.48 tff(7,plain,
% 0.20/0.48 (organization(sk2)),
% 0.20/0.48 inference(modus_ponens,[status(thm)],[6, 5])).
% 0.20/0.48 tff(8,plain,
% 0.20/0.48 (^[B: $i, A: $i] : refl(((~has_immunity(A, B)) | has_endowment(A) | (~organization(A))) <=> ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A))))),
% 0.20/0.48 inference(bind,[status(th)],[])).
% 0.20/0.48 tff(9,plain,
% 0.20/0.48 (![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)))),
% 0.20/0.48 inference(quant_intro,[status(thm)],[8])).
% 0.20/0.48 tff(10,plain,
% 0.20/0.48 (![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)))),
% 0.20/0.48 inference(rewrite,[status(thm)],[])).
% 0.20/0.48 tff(11,plain,
% 0.20/0.48 (^[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)))))),
% 0.20/0.48 inference(bind,[status(th)],[])).
% 0.20/0.48 tff(12,plain,
% 0.20/0.48 (![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)))),
% 0.20/0.48 inference(quant_intro,[status(thm)],[11])).
% 0.20/0.48 tff(13,axiom,(![B: $i, A: $i] : (((~organization(A)) | has_endowment(A)) | (~has_immunity(A, B)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','assumption_1_39')).
% 0.20/0.48 tff(14,plain,
% 0.20/0.48 (![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))),
% 0.20/0.48 inference(modus_ponens,[status(thm)],[13, 12])).
% 0.20/0.48 tff(15,plain,
% 0.20/0.48 (![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))),
% 0.20/0.48 inference(modus_ponens,[status(thm)],[14, 10])).
% 0.20/0.48 tff(16,plain,(
% 0.20/0.48 ![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))),
% 0.20/0.48 inference(skolemize,[status(sab)],[15])).
% 0.20/0.48 tff(17,plain,
% 0.20/0.48 (![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))),
% 0.20/0.48 inference(modus_ponens,[status(thm)],[16, 9])).
% 0.20/0.48 tff(18,plain,
% 0.20/0.48 (((~![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)))),
% 0.20/0.48 inference(rewrite,[status(thm)],[])).
% 0.20/0.48 tff(19,plain,
% 0.20/0.48 (((~has_immunity(sk2, sk3)) | has_endowment(sk2) | (~organization(sk2))) <=> (has_endowment(sk2) | (~organization(sk2)) | (~has_immunity(sk2, sk3)))),
% 0.20/0.48 inference(rewrite,[status(thm)],[])).
% 0.20/0.48 tff(20,plain,
% 0.20/0.48 (((~![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))))),
% 0.20/0.48 inference(monotonicity,[status(thm)],[19])).
% 0.20/0.48 tff(21,plain,
% 0.20/0.48 (((~![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)))),
% 0.20/0.48 inference(transitivity,[status(thm)],[20, 18])).
% 0.20/0.48 tff(22,plain,
% 0.20/0.48 ((~![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))) | ((~has_immunity(sk2, sk3)) | has_endowment(sk2) | (~organization(sk2)))),
% 0.20/0.48 inference(quant_inst,[status(thm)],[])).
% 0.20/0.48 tff(23,plain,
% 0.20/0.48 ((~![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))) | has_endowment(sk2) | (~organization(sk2)) | (~has_immunity(sk2, sk3))),
% 0.20/0.48 inference(modus_ponens,[status(thm)],[22, 21])).
% 0.20/0.48 tff(24,plain,
% 0.20/0.48 ($false),
% 0.20/0.48 inference(unit_resolution,[status(thm)],[23, 17, 7, 4, 1])).
% 0.20/0.48 tff(25,plain,(~has_immunity(sk2, sk3)), inference(lemma,lemma(discharge,[]))).
% 0.20/0.48 tff(26,plain,
% 0.20/0.48 (greater(sigma, zero) <=> greater(sigma, age(sk2, sk3))),
% 0.20/0.48 inference(rewrite,[status(thm)],[])).
% 0.20/0.48 tff(27,plain,
% 0.20/0.48 (greater(sigma, zero) <=> greater(sigma, zero)),
% 0.20/0.48 inference(rewrite,[status(thm)],[])).
% 0.20/0.48 tff(28,axiom,(greater(sigma, zero)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','theorem_7_70')).
% 0.20/0.48 tff(29,plain,
% 0.20/0.48 (greater(sigma, zero)),
% 0.20/0.48 inference(modus_ponens,[status(thm)],[28, 27])).
% 0.20/0.48 tff(30,plain,
% 0.20/0.48 (greater(sigma, age(sk2, sk3))),
% 0.20/0.48 inference(modus_ponens,[status(thm)],[29, 26])).
% 0.20/0.48 tff(31,plain,
% 0.20/0.48 (^[B: $i, A: $i] : refl(((~greater(A, B)) | smaller(B, A)) <=> ((~greater(A, B)) | smaller(B, A)))),
% 0.20/0.48 inference(bind,[status(th)],[])).
% 0.20/0.48 tff(32,plain,
% 0.20/0.48 (![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A)) <=> ![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))),
% 0.20/0.48 inference(quant_intro,[status(thm)],[31])).
% 0.20/0.48 tff(33,plain,
% 0.20/0.48 (![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A)) <=> ![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))),
% 0.20/0.48 inference(rewrite,[status(thm)],[])).
% 0.20/0.48 tff(34,axiom,(![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))), file('/export/starexec/sandbox2/benchmark/Axioms/MGT001-0.ax','definition_smaller_8')).
% 0.20/0.48 tff(35,plain,
% 0.20/0.48 (![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))),
% 0.20/0.48 inference(modus_ponens,[status(thm)],[34, 33])).
% 0.20/0.48 tff(36,plain,(
% 0.20/0.48 ![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))),
% 0.20/0.48 inference(skolemize,[status(sab)],[35])).
% 0.20/0.48 tff(37,plain,
% 0.20/0.48 (![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))),
% 0.20/0.48 inference(modus_ponens,[status(thm)],[36, 32])).
% 0.20/0.48 tff(38,plain,
% 0.20/0.48 (((~![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))) | ((~greater(sigma, age(sk2, sk3))) | smaller(age(sk2, sk3), sigma))) <=> ((~![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))) | (~greater(sigma, age(sk2, sk3))) | smaller(age(sk2, sk3), sigma))),
% 0.20/0.48 inference(rewrite,[status(thm)],[])).
% 0.20/0.48 tff(39,plain,
% 0.20/0.48 ((~![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))) | ((~greater(sigma, age(sk2, sk3))) | smaller(age(sk2, sk3), sigma))),
% 0.20/0.48 inference(quant_inst,[status(thm)],[])).
% 0.20/0.48 tff(40,plain,
% 0.20/0.48 ((~![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))) | (~greater(sigma, age(sk2, sk3))) | smaller(age(sk2, sk3), sigma)),
% 0.20/0.48 inference(modus_ponens,[status(thm)],[39, 38])).
% 0.20/0.48 tff(41,plain,
% 0.20/0.48 (smaller(age(sk2, sk3), sigma)),
% 0.20/0.48 inference(unit_resolution,[status(thm)],[40, 37, 30])).
% 0.20/0.48 tff(42,plain,
% 0.20/0.48 (^[B: $i, A: $i] : refl(((~smaller(A, B)) | smaller_or_equal(A, B)) <=> ((~smaller(A, B)) | smaller_or_equal(A, B)))),
% 0.20/0.48 inference(bind,[status(th)],[])).
% 0.20/0.48 tff(43,plain,
% 0.20/0.48 (![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B)) <=> ![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B))),
% 0.20/0.48 inference(quant_intro,[status(thm)],[42])).
% 0.20/0.48 tff(44,plain,
% 0.20/0.48 (![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B)) <=> ![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B))),
% 0.20/0.48 inference(rewrite,[status(thm)],[])).
% 0.20/0.48 tff(45,axiom,(![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B))), file('/export/starexec/sandbox2/benchmark/Axioms/MGT001-0.ax','definition_smaller_or_equal_2')).
% 0.20/0.49 tff(46,plain,
% 0.20/0.49 (![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B))),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[45, 44])).
% 0.20/0.49 tff(47,plain,(
% 0.20/0.49 ![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B))),
% 0.20/0.49 inference(skolemize,[status(sab)],[46])).
% 0.20/0.49 tff(48,plain,
% 0.20/0.49 (![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B))),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[47, 43])).
% 0.20/0.49 tff(49,plain,
% 0.20/0.49 (((~![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B))) | ((~smaller(age(sk2, sk3), sigma)) | smaller_or_equal(age(sk2, sk3), sigma))) <=> ((~![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B))) | (~smaller(age(sk2, sk3), sigma)) | smaller_or_equal(age(sk2, sk3), sigma))),
% 0.20/0.49 inference(rewrite,[status(thm)],[])).
% 0.20/0.49 tff(50,plain,
% 0.20/0.49 ((~![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B))) | ((~smaller(age(sk2, sk3), sigma)) | smaller_or_equal(age(sk2, sk3), sigma))),
% 0.20/0.49 inference(quant_inst,[status(thm)],[])).
% 0.20/0.49 tff(51,plain,
% 0.20/0.49 ((~![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B))) | (~smaller(age(sk2, sk3), sigma)) | smaller_or_equal(age(sk2, sk3), sigma)),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[50, 49])).
% 0.20/0.49 tff(52,plain,
% 0.20/0.49 (smaller_or_equal(age(sk2, sk3), sigma)),
% 0.20/0.49 inference(unit_resolution,[status(thm)],[51, 48, 41])).
% 0.20/0.49 tff(53,plain,
% 0.20/0.49 (fragile_position(sk2) <=> fragile_position(sk2)),
% 0.20/0.49 inference(rewrite,[status(thm)],[])).
% 0.20/0.49 tff(54,axiom,(fragile_position(sk2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','theorem_7_67')).
% 0.20/0.49 tff(55,plain,
% 0.20/0.49 (fragile_position(sk2)),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[54, 53])).
% 0.20/0.49 tff(56,plain,
% 0.20/0.49 (^[B: $i, A: $i] : refl((positional_advantage(A, B) | (~smaller_or_equal(age(A, B), sigma)) | (~fragile_position(A))) <=> (positional_advantage(A, B) | (~smaller_or_equal(age(A, B), sigma)) | (~fragile_position(A))))),
% 0.20/0.49 inference(bind,[status(th)],[])).
% 0.20/0.49 tff(57,plain,
% 0.20/0.49 (![B: $i, A: $i] : (positional_advantage(A, B) | (~smaller_or_equal(age(A, B), sigma)) | (~fragile_position(A))) <=> ![B: $i, A: $i] : (positional_advantage(A, B) | (~smaller_or_equal(age(A, B), sigma)) | (~fragile_position(A)))),
% 0.20/0.49 inference(quant_intro,[status(thm)],[56])).
% 0.20/0.49 tff(58,plain,
% 0.20/0.49 (![B: $i, A: $i] : (positional_advantage(A, B) | (~smaller_or_equal(age(A, B), sigma)) | (~fragile_position(A))) <=> ![B: $i, A: $i] : (positional_advantage(A, B) | (~smaller_or_equal(age(A, B), sigma)) | (~fragile_position(A)))),
% 0.20/0.49 inference(rewrite,[status(thm)],[])).
% 0.20/0.49 tff(59,plain,
% 0.20/0.49 (^[B: $i, A: $i] : rewrite((((~fragile_position(A)) | (~smaller_or_equal(age(A, B), sigma))) | positional_advantage(A, B)) <=> (positional_advantage(A, B) | (~smaller_or_equal(age(A, B), sigma)) | (~fragile_position(A))))),
% 0.20/0.49 inference(bind,[status(th)],[])).
% 0.20/0.49 tff(60,plain,
% 0.20/0.49 (![B: $i, A: $i] : (((~fragile_position(A)) | (~smaller_or_equal(age(A, B), sigma))) | positional_advantage(A, B)) <=> ![B: $i, A: $i] : (positional_advantage(A, B) | (~smaller_or_equal(age(A, B), sigma)) | (~fragile_position(A)))),
% 0.20/0.49 inference(quant_intro,[status(thm)],[59])).
% 0.20/0.49 tff(61,axiom,(![B: $i, A: $i] : (((~fragile_position(A)) | (~smaller_or_equal(age(A, B), sigma))) | positional_advantage(A, B))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','definition_3_50')).
% 0.20/0.49 tff(62,plain,
% 0.20/0.49 (![B: $i, A: $i] : (positional_advantage(A, B) | (~smaller_or_equal(age(A, B), sigma)) | (~fragile_position(A)))),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[61, 60])).
% 0.20/0.49 tff(63,plain,
% 0.20/0.49 (![B: $i, A: $i] : (positional_advantage(A, B) | (~smaller_or_equal(age(A, B), sigma)) | (~fragile_position(A)))),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[62, 58])).
% 0.20/0.49 tff(64,plain,(
% 0.20/0.49 ![B: $i, A: $i] : (positional_advantage(A, B) | (~smaller_or_equal(age(A, B), sigma)) | (~fragile_position(A)))),
% 0.20/0.49 inference(skolemize,[status(sab)],[63])).
% 0.20/0.49 tff(65,plain,
% 0.20/0.49 (![B: $i, A: $i] : (positional_advantage(A, B) | (~smaller_or_equal(age(A, B), sigma)) | (~fragile_position(A)))),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[64, 57])).
% 0.20/0.49 tff(66,plain,
% 0.20/0.49 (((~![B: $i, A: $i] : (positional_advantage(A, B) | (~smaller_or_equal(age(A, B), sigma)) | (~fragile_position(A)))) | (positional_advantage(sk2, sk3) | (~smaller_or_equal(age(sk2, sk3), sigma)) | (~fragile_position(sk2)))) <=> ((~![B: $i, A: $i] : (positional_advantage(A, B) | (~smaller_or_equal(age(A, B), sigma)) | (~fragile_position(A)))) | positional_advantage(sk2, sk3) | (~smaller_or_equal(age(sk2, sk3), sigma)) | (~fragile_position(sk2)))),
% 0.20/0.49 inference(rewrite,[status(thm)],[])).
% 0.20/0.49 tff(67,plain,
% 0.20/0.49 ((~![B: $i, A: $i] : (positional_advantage(A, B) | (~smaller_or_equal(age(A, B), sigma)) | (~fragile_position(A)))) | (positional_advantage(sk2, sk3) | (~smaller_or_equal(age(sk2, sk3), sigma)) | (~fragile_position(sk2)))),
% 0.20/0.49 inference(quant_inst,[status(thm)],[])).
% 0.20/0.49 tff(68,plain,
% 0.20/0.49 ((~![B: $i, A: $i] : (positional_advantage(A, B) | (~smaller_or_equal(age(A, B), sigma)) | (~fragile_position(A)))) | positional_advantage(sk2, sk3) | (~smaller_or_equal(age(sk2, sk3), sigma)) | (~fragile_position(sk2))),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[67, 66])).
% 0.20/0.49 tff(69,plain,
% 0.20/0.49 (positional_advantage(sk2, sk3) | (~smaller_or_equal(age(sk2, sk3), sigma))),
% 0.20/0.49 inference(unit_resolution,[status(thm)],[68, 65, 55])).
% 0.20/0.49 tff(70,plain,
% 0.20/0.49 (positional_advantage(sk2, sk3)),
% 0.20/0.49 inference(unit_resolution,[status(thm)],[69, 52])).
% 0.20/0.49 tff(71,plain,
% 0.20/0.49 (^[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)))))),
% 0.20/0.49 inference(bind,[status(th)],[])).
% 0.20/0.49 tff(72,plain,
% 0.20/0.49 (![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))))),
% 0.20/0.49 inference(quant_intro,[status(thm)],[71])).
% 0.20/0.49 tff(73,plain,
% 0.20/0.49 (^[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))))))),
% 0.20/0.49 inference(bind,[status(th)],[])).
% 0.20/0.49 tff(74,plain,
% 0.20/0.49 (![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))))),
% 0.20/0.49 inference(quant_intro,[status(thm)],[73])).
% 0.20/0.49 tff(75,plain,
% 0.20/0.49 (![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)))),
% 0.20/0.49 inference(rewrite,[status(thm)],[])).
% 0.20/0.49 tff(76,plain,
% 0.20/0.49 (^[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))))),
% 0.20/0.49 inference(bind,[status(th)],[])).
% 0.20/0.49 tff(77,plain,
% 0.20/0.49 (![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)))),
% 0.20/0.49 inference(quant_intro,[status(thm)],[76])).
% 0.20/0.49 tff(78,axiom,(![B: $i, A: $i] : (((~organization(A)) | (~(age(A, B) = zero))) | is_aligned(A, B))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','assumption_13_47')).
% 0.20/0.49 tff(79,plain,
% 0.20/0.49 (![B: $i, A: $i] : ((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = zero)))),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[78, 77])).
% 0.20/0.49 tff(80,plain,
% 0.20/0.49 (![B: $i, A: $i] : ((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = zero)))),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[79, 75])).
% 0.20/0.49 tff(81,plain,
% 0.20/0.49 (![B: $i, A: $i] : ((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = age(sk2, sk3))))),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[80, 74])).
% 0.20/0.49 tff(82,plain,(
% 0.20/0.49 ![B: $i, A: $i] : ((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = age(sk2, sk3))))),
% 0.20/0.49 inference(skolemize,[status(sab)],[81])).
% 0.20/0.49 tff(83,plain,
% 0.20/0.49 (![B: $i, A: $i] : ((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = age(sk2, sk3))))),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[82, 72])).
% 0.20/0.49 tff(84,plain,
% 0.20/0.49 (((~![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))),
% 0.20/0.49 inference(rewrite,[status(thm)],[])).
% 0.20/0.49 tff(85,plain,
% 0.20/0.49 (((~organization(sk2)) | is_aligned(sk2, sk3) | $false) <=> ((~organization(sk2)) | is_aligned(sk2, sk3))),
% 0.20/0.49 inference(rewrite,[status(thm)],[])).
% 0.20/0.49 tff(86,plain,
% 0.20/0.49 ((~$true) <=> $false),
% 0.20/0.49 inference(rewrite,[status(thm)],[])).
% 0.20/0.49 tff(87,plain,
% 0.20/0.49 ((age(sk2, sk3) = age(sk2, sk3)) <=> $true),
% 0.20/0.49 inference(rewrite,[status(thm)],[])).
% 0.20/0.49 tff(88,plain,
% 0.20/0.49 ((~(age(sk2, sk3) = age(sk2, sk3))) <=> (~$true)),
% 0.20/0.49 inference(monotonicity,[status(thm)],[87])).
% 0.20/0.49 tff(89,plain,
% 0.20/0.49 ((~(age(sk2, sk3) = age(sk2, sk3))) <=> $false),
% 0.20/0.49 inference(transitivity,[status(thm)],[88, 86])).
% 0.20/0.49 tff(90,plain,
% 0.20/0.49 (((~organization(sk2)) | is_aligned(sk2, sk3) | (~(age(sk2, sk3) = age(sk2, sk3)))) <=> ((~organization(sk2)) | is_aligned(sk2, sk3) | $false)),
% 0.20/0.49 inference(monotonicity,[status(thm)],[89])).
% 0.20/0.49 tff(91,plain,
% 0.20/0.49 (((~organization(sk2)) | is_aligned(sk2, sk3) | (~(age(sk2, sk3) = age(sk2, sk3)))) <=> ((~organization(sk2)) | is_aligned(sk2, sk3))),
% 0.20/0.49 inference(transitivity,[status(thm)],[90, 85])).
% 0.20/0.49 tff(92,plain,
% 0.20/0.49 (((~![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)))),
% 0.20/0.49 inference(monotonicity,[status(thm)],[91])).
% 0.20/0.49 tff(93,plain,
% 0.20/0.49 (((~![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))),
% 0.20/0.49 inference(transitivity,[status(thm)],[92, 84])).
% 0.20/0.49 tff(94,plain,
% 0.20/0.49 ((~![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))))),
% 0.20/0.49 inference(quant_inst,[status(thm)],[])).
% 0.20/0.49 tff(95,plain,
% 0.20/0.49 ((~![B: $i, A: $i] : ((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = age(sk2, sk3))))) | (~organization(sk2)) | is_aligned(sk2, sk3)),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[94, 93])).
% 0.20/0.49 tff(96,plain,
% 0.20/0.49 (is_aligned(sk2, sk3)),
% 0.20/0.49 inference(unit_resolution,[status(thm)],[95, 83, 7])).
% 0.20/0.49 tff(97,plain,
% 0.20/0.49 (^[B: $i, A: $i] : refl((has_immunity(A, B) | (~organization(A)) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = low) | (~is_aligned(A, B))) <=> (has_immunity(A, B) | (~organization(A)) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = low) | (~is_aligned(A, B))))),
% 0.20/0.49 inference(bind,[status(th)],[])).
% 0.20/0.49 tff(98,plain,
% 0.20/0.49 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = low) | (~is_aligned(A, B))) <=> ![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = low) | (~is_aligned(A, B)))),
% 0.20/0.49 inference(quant_intro,[status(thm)],[97])).
% 0.20/0.49 tff(99,plain,
% 0.20/0.49 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = low) | (~is_aligned(A, B))) <=> ![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = low) | (~is_aligned(A, B)))),
% 0.20/0.49 inference(rewrite,[status(thm)],[])).
% 0.20/0.49 tff(100,plain,
% 0.20/0.49 (^[B: $i, A: $i] : trans(monotonicity(trans(monotonicity(rewrite((((~organization(A)) | has_immunity(A, B)) | (~is_aligned(A, B))) <=> (has_immunity(A, B) | (~organization(A)) | (~is_aligned(A, B)))), (((((~organization(A)) | has_immunity(A, B)) | (~is_aligned(A, B))) | (~positional_advantage(A, B))) <=> ((has_immunity(A, B) | (~organization(A)) | (~is_aligned(A, B))) | (~positional_advantage(A, B))))), rewrite(((has_immunity(A, B) | (~organization(A)) | (~is_aligned(A, B))) | (~positional_advantage(A, B))) <=> (has_immunity(A, B) | (~organization(A)) | (~positional_advantage(A, B)) | (~is_aligned(A, B)))), (((((~organization(A)) | has_immunity(A, B)) | (~is_aligned(A, B))) | (~positional_advantage(A, B))) <=> (has_immunity(A, B) | (~organization(A)) | (~positional_advantage(A, B)) | (~is_aligned(A, B))))), ((((((~organization(A)) | has_immunity(A, B)) | (~is_aligned(A, B))) | (~positional_advantage(A, B))) | (hazard_of_mortality(A, B) = low)) <=> ((has_immunity(A, B) | (~organization(A)) | (~positional_advantage(A, B)) | (~is_aligned(A, B))) | (hazard_of_mortality(A, B) = low)))), rewrite(((has_immunity(A, B) | (~organization(A)) | (~positional_advantage(A, B)) | (~is_aligned(A, B))) | (hazard_of_mortality(A, B) = low)) <=> (has_immunity(A, B) | (~organization(A)) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = low) | (~is_aligned(A, B)))), ((((((~organization(A)) | has_immunity(A, B)) | (~is_aligned(A, B))) | (~positional_advantage(A, B))) | (hazard_of_mortality(A, B) = low)) <=> (has_immunity(A, B) | (~organization(A)) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = low) | (~is_aligned(A, B)))))),
% 0.20/0.49 inference(bind,[status(th)],[])).
% 0.20/0.49 tff(101,plain,
% 0.20/0.49 (![B: $i, A: $i] : (((((~organization(A)) | has_immunity(A, B)) | (~is_aligned(A, B))) | (~positional_advantage(A, B))) | (hazard_of_mortality(A, B) = low)) <=> ![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = low) | (~is_aligned(A, B)))),
% 0.20/0.49 inference(quant_intro,[status(thm)],[100])).
% 0.20/0.49 tff(102,axiom,(![B: $i, A: $i] : (((((~organization(A)) | has_immunity(A, B)) | (~is_aligned(A, B))) | (~positional_advantage(A, B))) | (hazard_of_mortality(A, B) = low))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','assumption_17_57')).
% 0.20/0.49 tff(103,plain,
% 0.20/0.49 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = low) | (~is_aligned(A, B)))),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[102, 101])).
% 0.20/0.49 tff(104,plain,
% 0.20/0.49 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = low) | (~is_aligned(A, B)))),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[103, 99])).
% 0.20/0.49 tff(105,plain,(
% 0.20/0.49 ![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = low) | (~is_aligned(A, B)))),
% 0.20/0.49 inference(skolemize,[status(sab)],[104])).
% 0.20/0.49 tff(106,plain,
% 0.20/0.49 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = low) | (~is_aligned(A, B)))),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[105, 98])).
% 0.20/0.49 tff(107,plain,
% 0.20/0.49 (((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = low) | (~is_aligned(A, B)))) | ((~organization(sk2)) | has_immunity(sk2, sk3) | (~is_aligned(sk2, sk3)) | (~positional_advantage(sk2, sk3)) | (hazard_of_mortality(sk2, sk3) = low))) <=> ((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = low) | (~is_aligned(A, B)))) | (~organization(sk2)) | has_immunity(sk2, sk3) | (~is_aligned(sk2, sk3)) | (~positional_advantage(sk2, sk3)) | (hazard_of_mortality(sk2, sk3) = low))),
% 0.20/0.49 inference(rewrite,[status(thm)],[])).
% 0.20/0.49 tff(108,plain,
% 0.20/0.49 ((has_immunity(sk2, sk3) | (~organization(sk2)) | (~positional_advantage(sk2, sk3)) | (hazard_of_mortality(sk2, sk3) = low) | (~is_aligned(sk2, sk3))) <=> ((~organization(sk2)) | has_immunity(sk2, sk3) | (~is_aligned(sk2, sk3)) | (~positional_advantage(sk2, sk3)) | (hazard_of_mortality(sk2, sk3) = low))),
% 0.20/0.49 inference(rewrite,[status(thm)],[])).
% 0.20/0.49 tff(109,plain,
% 0.20/0.49 (((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = low) | (~is_aligned(A, B)))) | (has_immunity(sk2, sk3) | (~organization(sk2)) | (~positional_advantage(sk2, sk3)) | (hazard_of_mortality(sk2, sk3) = low) | (~is_aligned(sk2, sk3)))) <=> ((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = low) | (~is_aligned(A, B)))) | ((~organization(sk2)) | has_immunity(sk2, sk3) | (~is_aligned(sk2, sk3)) | (~positional_advantage(sk2, sk3)) | (hazard_of_mortality(sk2, sk3) = low)))),
% 0.20/0.49 inference(monotonicity,[status(thm)],[108])).
% 0.20/0.49 tff(110,plain,
% 0.20/0.49 (((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = low) | (~is_aligned(A, B)))) | (has_immunity(sk2, sk3) | (~organization(sk2)) | (~positional_advantage(sk2, sk3)) | (hazard_of_mortality(sk2, sk3) = low) | (~is_aligned(sk2, sk3)))) <=> ((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = low) | (~is_aligned(A, B)))) | (~organization(sk2)) | has_immunity(sk2, sk3) | (~is_aligned(sk2, sk3)) | (~positional_advantage(sk2, sk3)) | (hazard_of_mortality(sk2, sk3) = low))),
% 0.20/0.49 inference(transitivity,[status(thm)],[109, 107])).
% 0.20/0.49 tff(111,plain,
% 0.20/0.49 ((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = low) | (~is_aligned(A, B)))) | (has_immunity(sk2, sk3) | (~organization(sk2)) | (~positional_advantage(sk2, sk3)) | (hazard_of_mortality(sk2, sk3) = low) | (~is_aligned(sk2, sk3)))),
% 0.20/0.49 inference(quant_inst,[status(thm)],[])).
% 0.20/0.49 tff(112,plain,
% 0.20/0.49 ((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = low) | (~is_aligned(A, B)))) | (~organization(sk2)) | has_immunity(sk2, sk3) | (~is_aligned(sk2, sk3)) | (~positional_advantage(sk2, sk3)) | (hazard_of_mortality(sk2, sk3) = low)),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[111, 110])).
% 0.20/0.49 tff(113,plain,
% 0.20/0.49 (has_immunity(sk2, sk3) | (~positional_advantage(sk2, sk3)) | (hazard_of_mortality(sk2, sk3) = low)),
% 0.20/0.49 inference(unit_resolution,[status(thm)],[112, 106, 7, 96])).
% 0.20/0.49 tff(114,plain,
% 0.20/0.49 (has_immunity(sk2, sk3) | (hazard_of_mortality(sk2, sk3) = low)),
% 0.20/0.49 inference(unit_resolution,[status(thm)],[113, 70])).
% 0.20/0.49 tff(115,plain,
% 0.20/0.49 (hazard_of_mortality(sk2, sk3) = low),
% 0.20/0.49 inference(unit_resolution,[status(thm)],[114, 25])).
% 0.20/0.49 tff(116,plain,
% 0.20/0.49 ((hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3)) <=> (hazard_of_mortality(sk2, sk4) = low)),
% 0.20/0.49 inference(monotonicity,[status(thm)],[115])).
% 0.20/0.49 tff(117,plain,
% 0.20/0.49 ((~(hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3))) <=> (~(hazard_of_mortality(sk2, sk4) = low))),
% 0.20/0.49 inference(monotonicity,[status(thm)],[116])).
% 0.20/0.49 tff(118,assumption,(~greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4))), introduced(assumption)).
% 0.20/0.49 tff(119,assumption,(hazard_of_mortality(sk2, sk4) = low), introduced(assumption)).
% 0.20/0.49 tff(120,plain,
% 0.20/0.49 (low = hazard_of_mortality(sk2, sk4)),
% 0.20/0.49 inference(symmetry,[status(thm)],[119])).
% 0.20/0.49 tff(121,assumption,(hazard_of_mortality(sk2, sk5) = mod2), introduced(assumption)).
% 0.20/0.49 tff(122,plain,
% 0.20/0.49 (mod2 = hazard_of_mortality(sk2, sk5)),
% 0.20/0.49 inference(symmetry,[status(thm)],[121])).
% 0.20/0.49 tff(123,plain,
% 0.20/0.49 (greater(mod2, low) <=> greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4))),
% 0.20/0.49 inference(monotonicity,[status(thm)],[122, 120])).
% 0.20/0.49 tff(124,plain,
% 0.20/0.49 (greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4)) <=> greater(mod2, low)),
% 0.20/0.49 inference(symmetry,[status(thm)],[123])).
% 0.20/0.49 tff(125,plain,
% 0.20/0.49 ((~greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4))) <=> (~greater(mod2, low))),
% 0.20/0.49 inference(monotonicity,[status(thm)],[124])).
% 0.20/0.49 tff(126,plain,
% 0.20/0.49 (~greater(mod2, low)),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[118, 125])).
% 0.20/0.49 tff(127,plain,
% 0.20/0.49 (greater(mod2, low) <=> greater(mod2, low)),
% 0.20/0.49 inference(rewrite,[status(thm)],[])).
% 0.20/0.49 tff(128,axiom,(greater(mod2, low)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','assumption_18e_65')).
% 0.20/0.49 tff(129,plain,
% 0.20/0.49 (greater(mod2, low)),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[128, 127])).
% 0.20/0.49 tff(130,plain,
% 0.20/0.49 ($false),
% 0.20/0.49 inference(unit_resolution,[status(thm)],[129, 126])).
% 0.20/0.49 tff(131,plain,((~(hazard_of_mortality(sk2, sk5) = mod2)) | greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4)) | (~(hazard_of_mortality(sk2, sk4) = low))), inference(lemma,lemma(discharge,[]))).
% 0.20/0.49 tff(132,plain,
% 0.20/0.49 (~(hazard_of_mortality(sk2, sk5) = mod2)),
% 0.20/0.49 inference(unit_resolution,[status(thm)],[131, 118, 119])).
% 0.20/0.49 tff(133,assumption,(has_immunity(sk2, sk5)), introduced(assumption)).
% 0.20/0.49 tff(134,plain,
% 0.20/0.49 (((~![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)))),
% 0.20/0.49 inference(rewrite,[status(thm)],[])).
% 0.20/0.49 tff(135,plain,
% 0.20/0.49 (((~has_immunity(sk2, sk5)) | has_endowment(sk2) | (~organization(sk2))) <=> (has_endowment(sk2) | (~organization(sk2)) | (~has_immunity(sk2, sk5)))),
% 0.20/0.49 inference(rewrite,[status(thm)],[])).
% 0.20/0.49 tff(136,plain,
% 0.20/0.49 (((~![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))))),
% 0.20/0.49 inference(monotonicity,[status(thm)],[135])).
% 0.20/0.49 tff(137,plain,
% 0.20/0.49 (((~![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)))),
% 0.20/0.49 inference(transitivity,[status(thm)],[136, 134])).
% 0.20/0.49 tff(138,plain,
% 0.20/0.49 ((~![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))) | ((~has_immunity(sk2, sk5)) | has_endowment(sk2) | (~organization(sk2)))),
% 0.20/0.49 inference(quant_inst,[status(thm)],[])).
% 0.20/0.49 tff(139,plain,
% 0.20/0.49 ((~![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))) | has_endowment(sk2) | (~organization(sk2)) | (~has_immunity(sk2, sk5))),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[138, 137])).
% 0.20/0.49 tff(140,plain,
% 0.20/0.49 ($false),
% 0.20/0.49 inference(unit_resolution,[status(thm)],[139, 17, 7, 4, 133])).
% 0.20/0.49 tff(141,plain,(~has_immunity(sk2, sk5)), inference(lemma,lemma(discharge,[]))).
% 0.20/0.49 tff(142,plain,
% 0.20/0.49 (greater(age(sk2, sk5), sigma) <=> greater(age(sk2, sk5), sigma)),
% 0.20/0.49 inference(rewrite,[status(thm)],[])).
% 0.20/0.49 tff(143,axiom,(greater(age(sk2, sk5), sigma)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','theorem_7_72')).
% 0.20/0.49 tff(144,plain,
% 0.20/0.49 (greater(age(sk2, sk5), sigma)),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[143, 142])).
% 0.20/0.49 tff(145,plain,
% 0.20/0.49 (^[B: $i, A: $i] : refl(((~fragile_position(A)) | (~positional_advantage(A, B)) | (~greater(age(A, B), sigma))) <=> ((~fragile_position(A)) | (~positional_advantage(A, B)) | (~greater(age(A, B), sigma))))),
% 0.20/0.49 inference(bind,[status(th)],[])).
% 0.20/0.49 tff(146,plain,
% 0.20/0.49 (![B: $i, A: $i] : ((~fragile_position(A)) | (~positional_advantage(A, B)) | (~greater(age(A, B), sigma))) <=> ![B: $i, A: $i] : ((~fragile_position(A)) | (~positional_advantage(A, B)) | (~greater(age(A, B), sigma)))),
% 0.20/0.49 inference(quant_intro,[status(thm)],[145])).
% 0.20/0.49 tff(147,plain,
% 0.20/0.49 (![B: $i, A: $i] : ((~fragile_position(A)) | (~positional_advantage(A, B)) | (~greater(age(A, B), sigma))) <=> ![B: $i, A: $i] : ((~fragile_position(A)) | (~positional_advantage(A, B)) | (~greater(age(A, B), sigma)))),
% 0.20/0.49 inference(rewrite,[status(thm)],[])).
% 0.20/0.49 tff(148,plain,
% 0.20/0.49 (^[B: $i, A: $i] : rewrite((((~fragile_position(A)) | (~greater(age(A, B), sigma))) | (~positional_advantage(A, B))) <=> ((~fragile_position(A)) | (~positional_advantage(A, B)) | (~greater(age(A, B), sigma))))),
% 0.20/0.49 inference(bind,[status(th)],[])).
% 0.20/0.49 tff(149,plain,
% 0.20/0.49 (![B: $i, A: $i] : (((~fragile_position(A)) | (~greater(age(A, B), sigma))) | (~positional_advantage(A, B))) <=> ![B: $i, A: $i] : ((~fragile_position(A)) | (~positional_advantage(A, B)) | (~greater(age(A, B), sigma)))),
% 0.20/0.49 inference(quant_intro,[status(thm)],[148])).
% 0.20/0.49 tff(150,axiom,(![B: $i, A: $i] : (((~fragile_position(A)) | (~greater(age(A, B), sigma))) | (~positional_advantage(A, B)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','definition_3_51')).
% 0.20/0.49 tff(151,plain,
% 0.20/0.49 (![B: $i, A: $i] : ((~fragile_position(A)) | (~positional_advantage(A, B)) | (~greater(age(A, B), sigma)))),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[150, 149])).
% 0.20/0.49 tff(152,plain,
% 0.20/0.49 (![B: $i, A: $i] : ((~fragile_position(A)) | (~positional_advantage(A, B)) | (~greater(age(A, B), sigma)))),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[151, 147])).
% 0.20/0.49 tff(153,plain,(
% 0.20/0.49 ![B: $i, A: $i] : ((~fragile_position(A)) | (~positional_advantage(A, B)) | (~greater(age(A, B), sigma)))),
% 0.20/0.49 inference(skolemize,[status(sab)],[152])).
% 0.20/0.49 tff(154,plain,
% 0.20/0.49 (![B: $i, A: $i] : ((~fragile_position(A)) | (~positional_advantage(A, B)) | (~greater(age(A, B), sigma)))),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[153, 146])).
% 0.20/0.49 tff(155,plain,
% 0.20/0.49 (((~![B: $i, A: $i] : ((~fragile_position(A)) | (~positional_advantage(A, B)) | (~greater(age(A, B), sigma)))) | ((~fragile_position(sk2)) | (~positional_advantage(sk2, sk5)) | (~greater(age(sk2, sk5), sigma)))) <=> ((~![B: $i, A: $i] : ((~fragile_position(A)) | (~positional_advantage(A, B)) | (~greater(age(A, B), sigma)))) | (~fragile_position(sk2)) | (~positional_advantage(sk2, sk5)) | (~greater(age(sk2, sk5), sigma)))),
% 0.20/0.49 inference(rewrite,[status(thm)],[])).
% 0.20/0.49 tff(156,plain,
% 0.20/0.49 ((~![B: $i, A: $i] : ((~fragile_position(A)) | (~positional_advantage(A, B)) | (~greater(age(A, B), sigma)))) | ((~fragile_position(sk2)) | (~positional_advantage(sk2, sk5)) | (~greater(age(sk2, sk5), sigma)))),
% 0.20/0.49 inference(quant_inst,[status(thm)],[])).
% 0.20/0.49 tff(157,plain,
% 0.20/0.49 ((~![B: $i, A: $i] : ((~fragile_position(A)) | (~positional_advantage(A, B)) | (~greater(age(A, B), sigma)))) | (~fragile_position(sk2)) | (~positional_advantage(sk2, sk5)) | (~greater(age(sk2, sk5), sigma))),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[156, 155])).
% 0.20/0.49 tff(158,plain,
% 0.20/0.49 (~positional_advantage(sk2, sk5)),
% 0.20/0.49 inference(unit_resolution,[status(thm)],[157, 154, 55, 144])).
% 0.20/0.49 tff(159,plain,
% 0.20/0.49 (^[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)))),
% 0.20/0.49 inference(bind,[status(th)],[])).
% 0.20/0.49 tff(160,plain,
% 0.20/0.49 (![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))),
% 0.20/0.49 inference(quant_intro,[status(thm)],[159])).
% 0.20/0.49 tff(161,plain,
% 0.20/0.49 (![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))),
% 0.20/0.49 inference(rewrite,[status(thm)],[])).
% 0.20/0.49 tff(162,plain,
% 0.20/0.49 (^[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))))),
% 0.20/0.49 inference(bind,[status(th)],[])).
% 0.20/0.49 tff(163,plain,
% 0.20/0.49 (![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))),
% 0.20/0.49 inference(quant_intro,[status(thm)],[162])).
% 0.20/0.49 tff(164,axiom,(![B: $i, A: $i] : (((((~organization(A)) | has_immunity(A, B)) | (~is_aligned(A, B))) | positional_advantage(A, B)) | (hazard_of_mortality(A, B) = mod2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','assumption_17_59')).
% 0.20/0.49 tff(165,plain,
% 0.20/0.49 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | (~is_aligned(A, B)) | (hazard_of_mortality(A, B) = mod2))),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[164, 163])).
% 0.20/0.49 tff(166,plain,
% 0.20/0.49 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | (~is_aligned(A, B)) | (hazard_of_mortality(A, B) = mod2))),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[165, 161])).
% 0.20/0.49 tff(167,plain,(
% 0.20/0.49 ![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | (~is_aligned(A, B)) | (hazard_of_mortality(A, B) = mod2))),
% 0.20/0.49 inference(skolemize,[status(sab)],[166])).
% 0.20/0.49 tff(168,plain,
% 0.20/0.49 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | (~is_aligned(A, B)) | (hazard_of_mortality(A, B) = mod2))),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[167, 160])).
% 0.20/0.49 tff(169,plain,
% 0.20/0.49 (((~![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, sk5) | has_immunity(sk2, sk5) | (~is_aligned(sk2, sk5)) | (hazard_of_mortality(sk2, sk5) = mod2))) <=> ((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | (~is_aligned(A, B)) | (hazard_of_mortality(A, B) = mod2))) | (~organization(sk2)) | positional_advantage(sk2, sk5) | has_immunity(sk2, sk5) | (~is_aligned(sk2, sk5)) | (hazard_of_mortality(sk2, sk5) = mod2))),
% 0.20/0.50 inference(rewrite,[status(thm)],[])).
% 0.20/0.50 tff(170,plain,
% 0.20/0.50 ((has_immunity(sk2, sk5) | (~organization(sk2)) | positional_advantage(sk2, sk5) | (~is_aligned(sk2, sk5)) | (hazard_of_mortality(sk2, sk5) = mod2)) <=> ((~organization(sk2)) | positional_advantage(sk2, sk5) | has_immunity(sk2, sk5) | (~is_aligned(sk2, sk5)) | (hazard_of_mortality(sk2, sk5) = mod2))),
% 0.20/0.50 inference(rewrite,[status(thm)],[])).
% 0.20/0.50 tff(171,plain,
% 0.20/0.50 (((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | (~is_aligned(A, B)) | (hazard_of_mortality(A, B) = mod2))) | (has_immunity(sk2, sk5) | (~organization(sk2)) | positional_advantage(sk2, sk5) | (~is_aligned(sk2, sk5)) | (hazard_of_mortality(sk2, sk5) = mod2))) <=> ((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | (~is_aligned(A, B)) | (hazard_of_mortality(A, B) = mod2))) | ((~organization(sk2)) | positional_advantage(sk2, sk5) | has_immunity(sk2, sk5) | (~is_aligned(sk2, sk5)) | (hazard_of_mortality(sk2, sk5) = mod2)))),
% 0.20/0.50 inference(monotonicity,[status(thm)],[170])).
% 0.20/0.50 tff(172,plain,
% 0.20/0.50 (((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | (~is_aligned(A, B)) | (hazard_of_mortality(A, B) = mod2))) | (has_immunity(sk2, sk5) | (~organization(sk2)) | positional_advantage(sk2, sk5) | (~is_aligned(sk2, sk5)) | (hazard_of_mortality(sk2, sk5) = mod2))) <=> ((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | (~is_aligned(A, B)) | (hazard_of_mortality(A, B) = mod2))) | (~organization(sk2)) | positional_advantage(sk2, sk5) | has_immunity(sk2, sk5) | (~is_aligned(sk2, sk5)) | (hazard_of_mortality(sk2, sk5) = mod2))),
% 0.20/0.50 inference(transitivity,[status(thm)],[171, 169])).
% 0.20/0.50 tff(173,plain,
% 0.20/0.50 ((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | (~is_aligned(A, B)) | (hazard_of_mortality(A, B) = mod2))) | (has_immunity(sk2, sk5) | (~organization(sk2)) | positional_advantage(sk2, sk5) | (~is_aligned(sk2, sk5)) | (hazard_of_mortality(sk2, sk5) = mod2))),
% 0.20/0.50 inference(quant_inst,[status(thm)],[])).
% 0.20/0.50 tff(174,plain,
% 0.20/0.50 ((~![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, sk5) | has_immunity(sk2, sk5) | (~is_aligned(sk2, sk5)) | (hazard_of_mortality(sk2, sk5) = mod2)),
% 0.20/0.50 inference(modus_ponens,[status(thm)],[173, 172])).
% 0.20/0.50 tff(175,plain,
% 0.20/0.50 (has_immunity(sk2, sk5) | (~is_aligned(sk2, sk5)) | (hazard_of_mortality(sk2, sk5) = mod2)),
% 0.20/0.50 inference(unit_resolution,[status(thm)],[174, 168, 7, 158])).
% 0.20/0.50 tff(176,plain,
% 0.20/0.50 ((~is_aligned(sk2, sk5)) | (hazard_of_mortality(sk2, sk5) = mod2)),
% 0.20/0.50 inference(unit_resolution,[status(thm)],[175, 141])).
% 0.20/0.50 tff(177,plain,
% 0.20/0.50 (~is_aligned(sk2, sk5)),
% 0.20/0.50 inference(unit_resolution,[status(thm)],[176, 132])).
% 0.20/0.50 tff(178,plain,
% 0.20/0.50 (^[B: $i, A: $i] : refl((has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | is_aligned(A, B) | (hazard_of_mortality(A, B) = high)) <=> (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | is_aligned(A, B) | (hazard_of_mortality(A, B) = high)))),
% 0.20/0.50 inference(bind,[status(th)],[])).
% 0.20/0.50 tff(179,plain,
% 0.20/0.50 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | is_aligned(A, B) | (hazard_of_mortality(A, B) = high)) <=> ![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | is_aligned(A, B) | (hazard_of_mortality(A, B) = high))),
% 0.20/0.50 inference(quant_intro,[status(thm)],[178])).
% 0.20/0.50 tff(180,plain,
% 0.20/0.50 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | is_aligned(A, B) | (hazard_of_mortality(A, B) = high)) <=> ![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | is_aligned(A, B) | (hazard_of_mortality(A, B) = high))),
% 0.20/0.50 inference(rewrite,[status(thm)],[])).
% 0.20/0.50 tff(181,plain,
% 0.20/0.50 (^[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) = high)) <=> ((has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | is_aligned(A, B)) | (hazard_of_mortality(A, B) = high)))), rewrite(((has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | is_aligned(A, B)) | (hazard_of_mortality(A, B) = high)) <=> (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | is_aligned(A, B) | (hazard_of_mortality(A, B) = high))), ((((((~organization(A)) | has_immunity(A, B)) | is_aligned(A, B)) | positional_advantage(A, B)) | (hazard_of_mortality(A, B) = high)) <=> (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | is_aligned(A, B) | (hazard_of_mortality(A, B) = high))))),
% 0.20/0.50 inference(bind,[status(th)],[])).
% 0.20/0.50 tff(182,plain,
% 0.20/0.50 (![B: $i, A: $i] : (((((~organization(A)) | has_immunity(A, B)) | is_aligned(A, B)) | positional_advantage(A, B)) | (hazard_of_mortality(A, B) = high)) <=> ![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | is_aligned(A, B) | (hazard_of_mortality(A, B) = high))),
% 0.20/0.50 inference(quant_intro,[status(thm)],[181])).
% 0.20/0.50 tff(183,axiom,(![B: $i, A: $i] : (((((~organization(A)) | has_immunity(A, B)) | is_aligned(A, B)) | positional_advantage(A, B)) | (hazard_of_mortality(A, B) = high))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','assumption_17_60')).
% 0.20/0.50 tff(184,plain,
% 0.20/0.50 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | is_aligned(A, B) | (hazard_of_mortality(A, B) = high))),
% 0.20/0.50 inference(modus_ponens,[status(thm)],[183, 182])).
% 0.20/0.50 tff(185,plain,
% 0.20/0.50 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | is_aligned(A, B) | (hazard_of_mortality(A, B) = high))),
% 0.20/0.50 inference(modus_ponens,[status(thm)],[184, 180])).
% 0.20/0.50 tff(186,plain,(
% 0.20/0.50 ![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | is_aligned(A, B) | (hazard_of_mortality(A, B) = high))),
% 0.20/0.50 inference(skolemize,[status(sab)],[185])).
% 0.20/0.50 tff(187,plain,
% 0.20/0.50 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | is_aligned(A, B) | (hazard_of_mortality(A, B) = high))),
% 0.20/0.50 inference(modus_ponens,[status(thm)],[186, 179])).
% 0.20/0.50 tff(188,plain,
% 0.20/0.50 (((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | is_aligned(A, B) | (hazard_of_mortality(A, B) = high))) | ((~organization(sk2)) | positional_advantage(sk2, sk5) | is_aligned(sk2, sk5) | has_immunity(sk2, sk5) | (hazard_of_mortality(sk2, sk5) = high))) <=> ((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | is_aligned(A, B) | (hazard_of_mortality(A, B) = high))) | (~organization(sk2)) | positional_advantage(sk2, sk5) | is_aligned(sk2, sk5) | has_immunity(sk2, sk5) | (hazard_of_mortality(sk2, sk5) = high))),
% 0.20/0.50 inference(rewrite,[status(thm)],[])).
% 0.20/0.50 tff(189,plain,
% 0.20/0.50 ((has_immunity(sk2, sk5) | (~organization(sk2)) | positional_advantage(sk2, sk5) | is_aligned(sk2, sk5) | (hazard_of_mortality(sk2, sk5) = high)) <=> ((~organization(sk2)) | positional_advantage(sk2, sk5) | is_aligned(sk2, sk5) | has_immunity(sk2, sk5) | (hazard_of_mortality(sk2, sk5) = high))),
% 0.20/0.50 inference(rewrite,[status(thm)],[])).
% 0.20/0.50 tff(190,plain,
% 0.20/0.50 (((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | is_aligned(A, B) | (hazard_of_mortality(A, B) = high))) | (has_immunity(sk2, sk5) | (~organization(sk2)) | positional_advantage(sk2, sk5) | is_aligned(sk2, sk5) | (hazard_of_mortality(sk2, sk5) = high))) <=> ((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | is_aligned(A, B) | (hazard_of_mortality(A, B) = high))) | ((~organization(sk2)) | positional_advantage(sk2, sk5) | is_aligned(sk2, sk5) | has_immunity(sk2, sk5) | (hazard_of_mortality(sk2, sk5) = high)))),
% 0.20/0.50 inference(monotonicity,[status(thm)],[189])).
% 0.20/0.50 tff(191,plain,
% 0.20/0.50 (((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | is_aligned(A, B) | (hazard_of_mortality(A, B) = high))) | (has_immunity(sk2, sk5) | (~organization(sk2)) | positional_advantage(sk2, sk5) | is_aligned(sk2, sk5) | (hazard_of_mortality(sk2, sk5) = high))) <=> ((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | is_aligned(A, B) | (hazard_of_mortality(A, B) = high))) | (~organization(sk2)) | positional_advantage(sk2, sk5) | is_aligned(sk2, sk5) | has_immunity(sk2, sk5) | (hazard_of_mortality(sk2, sk5) = high))),
% 0.20/0.50 inference(transitivity,[status(thm)],[190, 188])).
% 0.20/0.50 tff(192,plain,
% 0.20/0.50 ((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | is_aligned(A, B) | (hazard_of_mortality(A, B) = high))) | (has_immunity(sk2, sk5) | (~organization(sk2)) | positional_advantage(sk2, sk5) | is_aligned(sk2, sk5) | (hazard_of_mortality(sk2, sk5) = high))),
% 0.20/0.50 inference(quant_inst,[status(thm)],[])).
% 0.20/0.50 tff(193,plain,
% 0.20/0.50 ((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | positional_advantage(A, B) | is_aligned(A, B) | (hazard_of_mortality(A, B) = high))) | (~organization(sk2)) | positional_advantage(sk2, sk5) | is_aligned(sk2, sk5) | has_immunity(sk2, sk5) | (hazard_of_mortality(sk2, sk5) = high)),
% 0.20/0.50 inference(modus_ponens,[status(thm)],[192, 191])).
% 0.20/0.50 tff(194,plain,
% 0.20/0.50 (is_aligned(sk2, sk5) | has_immunity(sk2, sk5) | (hazard_of_mortality(sk2, sk5) = high)),
% 0.20/0.50 inference(unit_resolution,[status(thm)],[193, 187, 7, 158])).
% 0.20/0.50 tff(195,plain,
% 0.20/0.50 (is_aligned(sk2, sk5) | (hazard_of_mortality(sk2, sk5) = high)),
% 0.20/0.50 inference(unit_resolution,[status(thm)],[194, 141])).
% 0.20/0.50 tff(196,plain,
% 0.20/0.50 (hazard_of_mortality(sk2, sk5) = high),
% 0.20/0.50 inference(unit_resolution,[status(thm)],[195, 177])).
% 0.20/0.50 tff(197,plain,
% 0.20/0.50 (high = hazard_of_mortality(sk2, sk5)),
% 0.20/0.50 inference(symmetry,[status(thm)],[196])).
% 0.20/0.50 tff(198,plain,
% 0.20/0.50 (greater(high, low) <=> greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4))),
% 0.20/0.50 inference(monotonicity,[status(thm)],[197, 120])).
% 0.20/0.50 tff(199,plain,
% 0.20/0.50 (greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4)) <=> greater(high, low)),
% 0.20/0.50 inference(symmetry,[status(thm)],[198])).
% 0.20/0.50 tff(200,plain,
% 0.20/0.50 ((~greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4))) <=> (~greater(high, low))),
% 0.20/0.50 inference(monotonicity,[status(thm)],[199])).
% 0.20/0.50 tff(201,plain,
% 0.20/0.50 (~greater(high, low)),
% 0.20/0.50 inference(modus_ponens,[status(thm)],[118, 200])).
% 0.20/0.50 tff(202,plain,
% 0.20/0.50 (greater(mod1, low) <=> greater(mod1, low)),
% 0.20/0.50 inference(rewrite,[status(thm)],[])).
% 0.20/0.50 tff(203,axiom,(greater(mod1, low)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','assumption_18b_62')).
% 0.20/0.50 tff(204,plain,
% 0.20/0.50 (greater(mod1, low)),
% 0.20/0.50 inference(modus_ponens,[status(thm)],[203, 202])).
% 0.20/0.50 tff(205,plain,
% 0.20/0.50 (greater(high, mod1) <=> greater(high, mod1)),
% 0.20/0.50 inference(rewrite,[status(thm)],[])).
% 0.20/0.50 tff(206,axiom,(greater(high, mod1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','assumption_18a_61')).
% 0.20/0.50 tff(207,plain,
% 0.20/0.50 (greater(high, mod1)),
% 0.20/0.50 inference(modus_ponens,[status(thm)],[206, 205])).
% 0.20/0.50 tff(208,plain,
% 0.20/0.50 (![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B))) <=> ![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))),
% 0.20/0.50 inference(rewrite,[status(thm)],[])).
% 0.20/0.50 tff(209,plain,
% 0.20/0.50 (![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B))) <=> ![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))),
% 0.20/0.50 inference(rewrite,[status(thm)],[])).
% 0.20/0.50 tff(210,plain,
% 0.20/0.50 (^[B: $i, A: $i, C: $i] : rewrite((((~greater(A, B)) | (~greater(B, C))) | greater(A, C)) <=> (greater(A, C) | (~greater(B, C)) | (~greater(A, B))))),
% 0.20/0.50 inference(bind,[status(th)],[])).
% 0.20/0.50 tff(211,plain,
% 0.20/0.50 (![B: $i, A: $i, C: $i] : (((~greater(A, B)) | (~greater(B, C))) | greater(A, C)) <=> ![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))),
% 0.20/0.50 inference(quant_intro,[status(thm)],[210])).
% 0.20/0.50 tff(212,axiom,(![B: $i, A: $i, C: $i] : (((~greater(A, B)) | (~greater(B, C))) | greater(A, C))), file('/export/starexec/sandbox2/benchmark/Axioms/MGT001-0.ax','meaning_postulate_greater_transitive_10')).
% 0.20/0.50 tff(213,plain,
% 0.20/0.50 (![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))),
% 0.20/0.50 inference(modus_ponens,[status(thm)],[212, 211])).
% 0.20/0.50 tff(214,plain,
% 0.20/0.50 (![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))),
% 0.20/0.50 inference(modus_ponens,[status(thm)],[213, 209])).
% 0.20/0.50 tff(215,plain,(
% 0.20/0.50 ![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))),
% 0.20/0.50 inference(skolemize,[status(sab)],[214])).
% 0.20/0.50 tff(216,plain,
% 0.20/0.50 (![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))),
% 0.20/0.50 inference(modus_ponens,[status(thm)],[215, 208])).
% 0.20/0.50 tff(217,plain,
% 0.20/0.50 (((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(high, low) | (~greater(mod1, low)) | (~greater(high, mod1)))) <=> ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | greater(high, low) | (~greater(mod1, low)) | (~greater(high, mod1)))),
% 0.20/0.50 inference(rewrite,[status(thm)],[])).
% 0.20/0.50 tff(218,plain,
% 0.20/0.50 ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(high, low) | (~greater(mod1, low)) | (~greater(high, mod1)))),
% 0.20/0.50 inference(quant_inst,[status(thm)],[])).
% 0.20/0.50 tff(219,plain,
% 0.20/0.50 ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | greater(high, low) | (~greater(mod1, low)) | (~greater(high, mod1))),
% 0.20/0.50 inference(modus_ponens,[status(thm)],[218, 217])).
% 0.20/0.50 tff(220,plain,
% 0.20/0.50 (greater(high, low)),
% 0.20/0.50 inference(unit_resolution,[status(thm)],[219, 216, 207, 204])).
% 0.20/0.50 tff(221,plain,
% 0.20/0.50 ($false),
% 0.20/0.50 inference(unit_resolution,[status(thm)],[220, 201])).
% 0.20/0.50 tff(222,plain,(greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4)) | (~(hazard_of_mortality(sk2, sk4) = low))), inference(lemma,lemma(discharge,[]))).
% 0.20/0.50 tff(223,plain,
% 0.20/0.50 (~(hazard_of_mortality(sk2, sk4) = low)),
% 0.20/0.50 inference(unit_resolution,[status(thm)],[222, 118])).
% 0.20/0.50 tff(224,plain,
% 0.20/0.50 (^[B: $i, A: $i, C: $i] : refl((dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = age(sk2, sk3)))) <=> (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = age(sk2, sk3)))))),
% 0.20/0.50 inference(bind,[status(th)],[])).
% 0.20/0.50 tff(225,plain,
% 0.20/0.50 (![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = age(sk2, sk3)))) <=> ![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = age(sk2, sk3))))),
% 0.20/0.50 inference(quant_intro,[status(thm)],[224])).
% 0.20/0.50 tff(226,plain,
% 0.20/0.50 (^[B: $i, A: $i, C: $i] : trans(monotonicity(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), sigma)) | (~(age(A, B) = age(sk2, sk3)))))), rewrite((dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = age(sk2, sk3)))) <=> (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(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), sigma)) | (~(age(A, B) = age(sk2, sk3))))))),
% 0.20/0.50 inference(bind,[status(th)],[])).
% 0.20/0.50 tff(227,plain,
% 0.20/0.50 (![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = zero))) <=> ![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = age(sk2, sk3))))),
% 0.20/0.50 inference(quant_intro,[status(thm)],[226])).
% 0.20/0.50 tff(228,plain,
% 0.20/0.50 (![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)))),
% 0.20/0.50 inference(rewrite,[status(thm)],[])).
% 0.20/0.50 tff(229,plain,
% 0.20/0.50 (^[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)))))),
% 0.20/0.50 inference(bind,[status(th)],[])).
% 0.20/0.50 tff(230,plain,
% 0.20/0.50 (![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)))),
% 0.20/0.50 inference(quant_intro,[status(thm)],[229])).
% 0.20/0.50 tff(231,axiom,(![B: $i, A: $i, C: $i] : ((((~organization(A)) | (~(age(A, B) = zero))) | (~greater(age(A, C), sigma))) | dissimilar(A, B, C))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','assumption_15_48')).
% 0.20/0.50 tff(232,plain,
% 0.20/0.50 (![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = zero)))),
% 0.20/0.50 inference(modus_ponens,[status(thm)],[231, 230])).
% 0.20/0.50 tff(233,plain,
% 0.20/0.50 (![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = zero)))),
% 0.20/0.50 inference(modus_ponens,[status(thm)],[232, 228])).
% 0.20/0.50 tff(234,plain,
% 0.20/0.50 (![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = age(sk2, sk3))))),
% 0.20/0.50 inference(modus_ponens,[status(thm)],[233, 227])).
% 0.20/0.50 tff(235,plain,(
% 0.20/0.50 ![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = age(sk2, sk3))))),
% 0.20/0.50 inference(skolemize,[status(sab)],[234])).
% 0.20/0.50 tff(236,plain,
% 0.20/0.50 (![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = age(sk2, sk3))))),
% 0.20/0.50 inference(modus_ponens,[status(thm)],[235, 225])).
% 0.20/0.50 tff(237,plain,
% 0.20/0.50 (((~![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = age(sk2, sk3))))) | ((~greater(age(sk2, sk5), sigma)) | (~organization(sk2)) | dissimilar(sk2, sk3, sk5))) <=> ((~![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = age(sk2, sk3))))) | (~greater(age(sk2, sk5), sigma)) | (~organization(sk2)) | dissimilar(sk2, sk3, sk5))),
% 0.20/0.50 inference(rewrite,[status(thm)],[])).
% 0.20/0.50 tff(238,plain,
% 0.20/0.50 ((dissimilar(sk2, sk3, sk5) | (~organization(sk2)) | (~greater(age(sk2, sk5), sigma)) | $false) <=> ((~greater(age(sk2, sk5), sigma)) | (~organization(sk2)) | dissimilar(sk2, sk3, sk5))),
% 0.20/0.50 inference(rewrite,[status(thm)],[])).
% 0.20/0.50 tff(239,plain,
% 0.20/0.50 ((dissimilar(sk2, sk3, sk5) | (~organization(sk2)) | (~greater(age(sk2, sk5), sigma)) | (~(age(sk2, sk3) = age(sk2, sk3)))) <=> (dissimilar(sk2, sk3, sk5) | (~organization(sk2)) | (~greater(age(sk2, sk5), sigma)) | $false)),
% 0.20/0.50 inference(monotonicity,[status(thm)],[89])).
% 0.20/0.50 tff(240,plain,
% 0.20/0.50 ((dissimilar(sk2, sk3, sk5) | (~organization(sk2)) | (~greater(age(sk2, sk5), sigma)) | (~(age(sk2, sk3) = age(sk2, sk3)))) <=> ((~greater(age(sk2, sk5), sigma)) | (~organization(sk2)) | dissimilar(sk2, sk3, sk5))),
% 0.20/0.50 inference(transitivity,[status(thm)],[239, 238])).
% 0.20/0.50 tff(241,plain,
% 0.20/0.50 (((~![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = age(sk2, sk3))))) | (dissimilar(sk2, sk3, sk5) | (~organization(sk2)) | (~greater(age(sk2, sk5), sigma)) | (~(age(sk2, sk3) = age(sk2, sk3))))) <=> ((~![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = age(sk2, sk3))))) | ((~greater(age(sk2, sk5), sigma)) | (~organization(sk2)) | dissimilar(sk2, sk3, sk5)))),
% 0.20/0.50 inference(monotonicity,[status(thm)],[240])).
% 0.20/0.50 tff(242,plain,
% 0.20/0.50 (((~![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = age(sk2, sk3))))) | (dissimilar(sk2, sk3, sk5) | (~organization(sk2)) | (~greater(age(sk2, sk5), sigma)) | (~(age(sk2, sk3) = age(sk2, sk3))))) <=> ((~![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = age(sk2, sk3))))) | (~greater(age(sk2, sk5), sigma)) | (~organization(sk2)) | dissimilar(sk2, sk3, sk5))),
% 0.20/0.50 inference(transitivity,[status(thm)],[241, 237])).
% 0.20/0.50 tff(243,plain,
% 0.20/0.50 ((~![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = age(sk2, sk3))))) | (dissimilar(sk2, sk3, sk5) | (~organization(sk2)) | (~greater(age(sk2, sk5), sigma)) | (~(age(sk2, sk3) = age(sk2, sk3))))),
% 0.20/0.50 inference(quant_inst,[status(thm)],[])).
% 0.20/0.50 tff(244,plain,
% 0.20/0.50 ((~![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = age(sk2, sk3))))) | (~greater(age(sk2, sk5), sigma)) | (~organization(sk2)) | dissimilar(sk2, sk3, sk5)),
% 0.20/0.50 inference(modus_ponens,[status(thm)],[243, 242])).
% 0.20/0.50 tff(245,plain,
% 0.20/0.50 (dissimilar(sk2, sk3, sk5)),
% 0.20/0.50 inference(unit_resolution,[status(thm)],[244, 236, 7, 144])).
% 0.20/0.50 tff(246,plain,
% 0.20/0.50 (^[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))))),
% 0.20/0.50 inference(bind,[status(th)],[])).
% 0.20/0.50 tff(247,plain,
% 0.20/0.50 (![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)))),
% 0.20/0.50 inference(quant_intro,[status(thm)],[246])).
% 0.20/0.50 tff(248,plain,
% 0.20/0.50 (![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)))),
% 0.20/0.50 inference(rewrite,[status(thm)],[])).
% 0.20/0.50 tff(249,plain,
% 0.20/0.50 (^[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)))))),
% 0.20/0.51 inference(bind,[status(th)],[])).
% 0.20/0.51 tff(250,plain,
% 0.20/0.51 (![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)))),
% 0.20/0.51 inference(quant_intro,[status(thm)],[249])).
% 0.20/0.51 tff(251,axiom,(![B: $i, A: $i, C: $i] : (((~dissimilar(A, B, C)) | (~is_aligned(A, B))) | (~is_aligned(A, C)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','definition_2_42')).
% 0.20/0.51 tff(252,plain,
% 0.20/0.51 (![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~is_aligned(A, C)) | (~is_aligned(A, B)))),
% 0.20/0.51 inference(modus_ponens,[status(thm)],[251, 250])).
% 0.20/0.51 tff(253,plain,
% 0.20/0.51 (![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~is_aligned(A, C)) | (~is_aligned(A, B)))),
% 0.20/0.51 inference(modus_ponens,[status(thm)],[252, 248])).
% 0.20/0.51 tff(254,plain,(
% 0.20/0.51 ![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~is_aligned(A, C)) | (~is_aligned(A, B)))),
% 0.20/0.51 inference(skolemize,[status(sab)],[253])).
% 0.20/0.51 tff(255,plain,
% 0.20/0.51 (![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~is_aligned(A, C)) | (~is_aligned(A, B)))),
% 0.20/0.51 inference(modus_ponens,[status(thm)],[254, 247])).
% 0.20/0.51 tff(256,plain,
% 0.20/0.51 (((~![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)))),
% 0.20/0.51 inference(rewrite,[status(thm)],[])).
% 0.20/0.51 tff(257,plain,
% 0.20/0.51 (((~dissimilar(sk2, sk3, sk5)) | (~is_aligned(sk2, sk5)) | (~is_aligned(sk2, sk3))) <=> ((~is_aligned(sk2, sk3)) | (~is_aligned(sk2, sk5)) | (~dissimilar(sk2, sk3, sk5)))),
% 0.20/0.51 inference(rewrite,[status(thm)],[])).
% 0.20/0.51 tff(258,plain,
% 0.20/0.51 (((~![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))))),
% 0.20/0.51 inference(monotonicity,[status(thm)],[257])).
% 0.20/0.51 tff(259,plain,
% 0.20/0.51 (((~![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)))),
% 0.20/0.51 inference(transitivity,[status(thm)],[258, 256])).
% 0.20/0.51 tff(260,plain,
% 0.20/0.51 ((~![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)))),
% 0.20/0.51 inference(quant_inst,[status(thm)],[])).
% 0.20/0.51 tff(261,plain,
% 0.20/0.51 ((~![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~is_aligned(A, C)) | (~is_aligned(A, B)))) | (~is_aligned(sk2, sk3)) | (~is_aligned(sk2, sk5)) | (~dissimilar(sk2, sk3, sk5))),
% 0.20/0.51 inference(modus_ponens,[status(thm)],[260, 259])).
% 0.20/0.51 tff(262,plain,
% 0.20/0.51 (~is_aligned(sk2, sk5)),
% 0.20/0.51 inference(unit_resolution,[status(thm)],[261, 255, 96, 245])).
% 0.20/0.51 tff(263,plain,
% 0.20/0.51 (hazard_of_mortality(sk2, sk5) = high),
% 0.20/0.51 inference(unit_resolution,[status(thm)],[195, 262])).
% 0.20/0.51 tff(264,assumption,(hazard_of_mortality(sk2, sk4) = mod1), introduced(assumption)).
% 0.20/0.51 tff(265,plain,
% 0.20/0.51 (mod1 = hazard_of_mortality(sk2, sk4)),
% 0.20/0.51 inference(symmetry,[status(thm)],[264])).
% 0.20/0.51 tff(266,assumption,(hazard_of_mortality(sk2, sk5) = high), introduced(assumption)).
% 0.20/0.51 tff(267,plain,
% 0.20/0.51 (high = hazard_of_mortality(sk2, sk5)),
% 0.20/0.51 inference(symmetry,[status(thm)],[266])).
% 0.20/0.51 tff(268,plain,
% 0.20/0.51 (greater(high, mod1) <=> greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4))),
% 0.20/0.51 inference(monotonicity,[status(thm)],[267, 265])).
% 0.20/0.51 tff(269,plain,
% 0.20/0.51 (greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4)) <=> greater(high, mod1)),
% 0.20/0.51 inference(symmetry,[status(thm)],[268])).
% 0.20/0.51 tff(270,plain,
% 0.20/0.51 ((~greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4))) <=> (~greater(high, mod1))),
% 0.20/0.51 inference(monotonicity,[status(thm)],[269])).
% 0.20/0.51 tff(271,plain,
% 0.20/0.51 (~greater(high, mod1)),
% 0.20/0.51 inference(modus_ponens,[status(thm)],[118, 270])).
% 0.20/0.51 tff(272,plain,
% 0.20/0.51 ($false),
% 0.20/0.51 inference(unit_resolution,[status(thm)],[207, 271])).
% 0.20/0.51 tff(273,plain,((~(hazard_of_mortality(sk2, sk5) = high)) | greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4)) | (~(hazard_of_mortality(sk2, sk4) = mod1))), inference(lemma,lemma(discharge,[]))).
% 0.20/0.51 tff(274,plain,
% 0.20/0.51 (~(hazard_of_mortality(sk2, sk4) = mod1)),
% 0.20/0.51 inference(unit_resolution,[status(thm)],[273, 118, 263])).
% 0.20/0.51 tff(275,assumption,(has_immunity(sk2, sk4)), introduced(assumption)).
% 0.20/0.51 tff(276,plain,
% 0.20/0.51 (((~![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)))),
% 0.20/0.51 inference(rewrite,[status(thm)],[])).
% 0.20/0.51 tff(277,plain,
% 0.20/0.51 (((~has_immunity(sk2, sk4)) | has_endowment(sk2) | (~organization(sk2))) <=> (has_endowment(sk2) | (~organization(sk2)) | (~has_immunity(sk2, sk4)))),
% 0.20/0.51 inference(rewrite,[status(thm)],[])).
% 0.20/0.51 tff(278,plain,
% 0.20/0.51 (((~![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))))),
% 0.20/0.51 inference(monotonicity,[status(thm)],[277])).
% 0.20/0.51 tff(279,plain,
% 0.20/0.51 (((~![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)))),
% 0.20/0.51 inference(transitivity,[status(thm)],[278, 276])).
% 0.20/0.51 tff(280,plain,
% 0.20/0.51 ((~![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))) | ((~has_immunity(sk2, sk4)) | has_endowment(sk2) | (~organization(sk2)))),
% 0.20/0.51 inference(quant_inst,[status(thm)],[])).
% 0.20/0.51 tff(281,plain,
% 0.20/0.51 ((~![B: $i, A: $i] : ((~has_immunity(A, B)) | has_endowment(A) | (~organization(A)))) | has_endowment(sk2) | (~organization(sk2)) | (~has_immunity(sk2, sk4))),
% 0.20/0.51 inference(modus_ponens,[status(thm)],[280, 279])).
% 0.20/0.51 tff(282,plain,
% 0.20/0.51 ($false),
% 0.20/0.51 inference(unit_resolution,[status(thm)],[281, 17, 7, 4, 275])).
% 0.20/0.51 tff(283,plain,(~has_immunity(sk2, sk4)), inference(lemma,lemma(discharge,[]))).
% 0.20/0.51 tff(284,assumption,(~(hazard_of_mortality(sk2, sk4) = low)), introduced(assumption)).
% 0.20/0.51 tff(285,assumption,(~has_immunity(sk2, sk4)), introduced(assumption)).
% 0.20/0.51 tff(286,assumption,(~(hazard_of_mortality(sk2, sk4) = mod1)), introduced(assumption)).
% 0.20/0.51 tff(287,plain,
% 0.20/0.51 (smaller_or_equal(age(sk2, sk4), sigma) <=> smaller_or_equal(age(sk2, sk4), sigma)),
% 0.20/0.51 inference(rewrite,[status(thm)],[])).
% 0.20/0.51 tff(288,axiom,(smaller_or_equal(age(sk2, sk4), sigma)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','theorem_7_71')).
% 0.20/0.51 tff(289,plain,
% 0.20/0.51 (smaller_or_equal(age(sk2, sk4), sigma)),
% 0.20/0.51 inference(modus_ponens,[status(thm)],[288, 287])).
% 0.20/0.51 tff(290,plain,
% 0.20/0.51 (((~![B: $i, A: $i] : (positional_advantage(A, B) | (~smaller_or_equal(age(A, B), sigma)) | (~fragile_position(A)))) | ((~smaller_or_equal(age(sk2, sk4), sigma)) | (~fragile_position(sk2)) | positional_advantage(sk2, sk4))) <=> ((~![B: $i, A: $i] : (positional_advantage(A, B) | (~smaller_or_equal(age(A, B), sigma)) | (~fragile_position(A)))) | (~smaller_or_equal(age(sk2, sk4), sigma)) | (~fragile_position(sk2)) | positional_advantage(sk2, sk4))),
% 0.20/0.51 inference(rewrite,[status(thm)],[])).
% 0.20/0.51 tff(291,plain,
% 0.20/0.51 ((positional_advantage(sk2, sk4) | (~smaller_or_equal(age(sk2, sk4), sigma)) | (~fragile_position(sk2))) <=> ((~smaller_or_equal(age(sk2, sk4), sigma)) | (~fragile_position(sk2)) | positional_advantage(sk2, sk4))),
% 0.20/0.51 inference(rewrite,[status(thm)],[])).
% 0.20/0.51 tff(292,plain,
% 0.20/0.51 (((~![B: $i, A: $i] : (positional_advantage(A, B) | (~smaller_or_equal(age(A, B), sigma)) | (~fragile_position(A)))) | (positional_advantage(sk2, sk4) | (~smaller_or_equal(age(sk2, sk4), sigma)) | (~fragile_position(sk2)))) <=> ((~![B: $i, A: $i] : (positional_advantage(A, B) | (~smaller_or_equal(age(A, B), sigma)) | (~fragile_position(A)))) | ((~smaller_or_equal(age(sk2, sk4), sigma)) | (~fragile_position(sk2)) | positional_advantage(sk2, sk4)))),
% 0.20/0.51 inference(monotonicity,[status(thm)],[291])).
% 0.20/0.51 tff(293,plain,
% 0.20/0.51 (((~![B: $i, A: $i] : (positional_advantage(A, B) | (~smaller_or_equal(age(A, B), sigma)) | (~fragile_position(A)))) | (positional_advantage(sk2, sk4) | (~smaller_or_equal(age(sk2, sk4), sigma)) | (~fragile_position(sk2)))) <=> ((~![B: $i, A: $i] : (positional_advantage(A, B) | (~smaller_or_equal(age(A, B), sigma)) | (~fragile_position(A)))) | (~smaller_or_equal(age(sk2, sk4), sigma)) | (~fragile_position(sk2)) | positional_advantage(sk2, sk4))),
% 0.20/0.51 inference(transitivity,[status(thm)],[292, 290])).
% 0.20/0.51 tff(294,plain,
% 0.20/0.51 ((~![B: $i, A: $i] : (positional_advantage(A, B) | (~smaller_or_equal(age(A, B), sigma)) | (~fragile_position(A)))) | (positional_advantage(sk2, sk4) | (~smaller_or_equal(age(sk2, sk4), sigma)) | (~fragile_position(sk2)))),
% 0.20/0.51 inference(quant_inst,[status(thm)],[])).
% 0.20/0.51 tff(295,plain,
% 0.20/0.51 ((~![B: $i, A: $i] : (positional_advantage(A, B) | (~smaller_or_equal(age(A, B), sigma)) | (~fragile_position(A)))) | (~smaller_or_equal(age(sk2, sk4), sigma)) | (~fragile_position(sk2)) | positional_advantage(sk2, sk4)),
% 0.20/0.51 inference(modus_ponens,[status(thm)],[294, 293])).
% 0.20/0.51 tff(296,plain,
% 0.20/0.51 (positional_advantage(sk2, sk4)),
% 0.20/0.51 inference(unit_resolution,[status(thm)],[295, 65, 55, 289])).
% 0.20/0.51 tff(297,plain,
% 0.20/0.51 (^[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)))),
% 0.20/0.51 inference(bind,[status(th)],[])).
% 0.20/0.51 tff(298,plain,
% 0.20/0.51 (![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))),
% 0.20/0.51 inference(quant_intro,[status(thm)],[297])).
% 0.20/0.51 tff(299,plain,
% 0.20/0.51 (![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))),
% 0.20/0.51 inference(rewrite,[status(thm)],[])).
% 0.20/0.51 tff(300,plain,
% 0.20/0.51 (^[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))))),
% 0.20/0.51 inference(bind,[status(th)],[])).
% 0.20/0.51 tff(301,plain,
% 0.20/0.51 (![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))),
% 0.20/0.51 inference(quant_intro,[status(thm)],[300])).
% 0.20/0.51 tff(302,axiom,(![B: $i, A: $i] : (((((~organization(A)) | has_immunity(A, B)) | is_aligned(A, B)) | (~positional_advantage(A, B))) | (hazard_of_mortality(A, B) = mod1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','assumption_17_58')).
% 0.20/0.51 tff(303,plain,
% 0.20/0.51 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = mod1))),
% 0.20/0.51 inference(modus_ponens,[status(thm)],[302, 301])).
% 0.20/0.51 tff(304,plain,
% 0.20/0.51 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = mod1))),
% 0.20/0.51 inference(modus_ponens,[status(thm)],[303, 299])).
% 0.20/0.51 tff(305,plain,(
% 0.20/0.51 ![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = mod1))),
% 0.20/0.51 inference(skolemize,[status(sab)],[304])).
% 0.20/0.51 tff(306,plain,
% 0.20/0.51 (![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | is_aligned(A, B) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = mod1))),
% 0.20/0.51 inference(modus_ponens,[status(thm)],[305, 298])).
% 0.20/0.51 tff(307,plain,
% 0.20/0.51 (((~![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)) | (~positional_advantage(sk2, sk4)) | is_aligned(sk2, sk4) | has_immunity(sk2, sk4) | (hazard_of_mortality(sk2, sk4) = 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)) | (~positional_advantage(sk2, sk4)) | is_aligned(sk2, sk4) | has_immunity(sk2, sk4) | (hazard_of_mortality(sk2, sk4) = mod1))),
% 0.20/0.51 inference(rewrite,[status(thm)],[])).
% 0.20/0.51 tff(308,plain,
% 0.20/0.51 ((has_immunity(sk2, sk4) | (~organization(sk2)) | is_aligned(sk2, sk4) | (~positional_advantage(sk2, sk4)) | (hazard_of_mortality(sk2, sk4) = mod1)) <=> ((~organization(sk2)) | (~positional_advantage(sk2, sk4)) | is_aligned(sk2, sk4) | has_immunity(sk2, sk4) | (hazard_of_mortality(sk2, sk4) = mod1))),
% 0.20/0.51 inference(rewrite,[status(thm)],[])).
% 0.20/0.51 tff(309,plain,
% 0.20/0.51 (((~![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, sk4) | (~organization(sk2)) | is_aligned(sk2, sk4) | (~positional_advantage(sk2, sk4)) | (hazard_of_mortality(sk2, sk4) = 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)) | (~positional_advantage(sk2, sk4)) | is_aligned(sk2, sk4) | has_immunity(sk2, sk4) | (hazard_of_mortality(sk2, sk4) = mod1)))),
% 0.20/0.51 inference(monotonicity,[status(thm)],[308])).
% 0.20/0.51 tff(310,plain,
% 0.20/0.51 (((~![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, sk4) | (~organization(sk2)) | is_aligned(sk2, sk4) | (~positional_advantage(sk2, sk4)) | (hazard_of_mortality(sk2, sk4) = 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)) | (~positional_advantage(sk2, sk4)) | is_aligned(sk2, sk4) | has_immunity(sk2, sk4) | (hazard_of_mortality(sk2, sk4) = mod1))),
% 0.20/0.51 inference(transitivity,[status(thm)],[309, 307])).
% 0.20/0.51 tff(311,plain,
% 0.20/0.51 ((~![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, sk4) | (~organization(sk2)) | is_aligned(sk2, sk4) | (~positional_advantage(sk2, sk4)) | (hazard_of_mortality(sk2, sk4) = mod1))),
% 0.20/0.51 inference(quant_inst,[status(thm)],[])).
% 0.20/0.51 tff(312,plain,
% 0.20/0.51 ((~![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)) | (~positional_advantage(sk2, sk4)) | is_aligned(sk2, sk4) | has_immunity(sk2, sk4) | (hazard_of_mortality(sk2, sk4) = mod1)),
% 0.20/0.51 inference(modus_ponens,[status(thm)],[311, 310])).
% 0.20/0.51 tff(313,plain,
% 0.20/0.51 (is_aligned(sk2, sk4) | has_immunity(sk2, sk4) | (hazard_of_mortality(sk2, sk4) = mod1)),
% 0.20/0.51 inference(unit_resolution,[status(thm)],[312, 306, 7, 296])).
% 0.20/0.51 tff(314,plain,
% 0.20/0.51 (is_aligned(sk2, sk4)),
% 0.20/0.51 inference(unit_resolution,[status(thm)],[313, 285, 286])).
% 0.20/0.51 tff(315,plain,
% 0.20/0.51 (((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = low) | (~is_aligned(A, B)))) | ((~organization(sk2)) | (~positional_advantage(sk2, sk4)) | has_immunity(sk2, sk4) | (hazard_of_mortality(sk2, sk4) = low) | (~is_aligned(sk2, sk4)))) <=> ((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = low) | (~is_aligned(A, B)))) | (~organization(sk2)) | (~positional_advantage(sk2, sk4)) | has_immunity(sk2, sk4) | (hazard_of_mortality(sk2, sk4) = low) | (~is_aligned(sk2, sk4)))),
% 0.20/0.51 inference(rewrite,[status(thm)],[])).
% 0.20/0.51 tff(316,plain,
% 0.20/0.51 ((has_immunity(sk2, sk4) | (~organization(sk2)) | (~positional_advantage(sk2, sk4)) | (hazard_of_mortality(sk2, sk4) = low) | (~is_aligned(sk2, sk4))) <=> ((~organization(sk2)) | (~positional_advantage(sk2, sk4)) | has_immunity(sk2, sk4) | (hazard_of_mortality(sk2, sk4) = low) | (~is_aligned(sk2, sk4)))),
% 0.20/0.51 inference(rewrite,[status(thm)],[])).
% 0.20/0.51 tff(317,plain,
% 0.20/0.51 (((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = low) | (~is_aligned(A, B)))) | (has_immunity(sk2, sk4) | (~organization(sk2)) | (~positional_advantage(sk2, sk4)) | (hazard_of_mortality(sk2, sk4) = low) | (~is_aligned(sk2, sk4)))) <=> ((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = low) | (~is_aligned(A, B)))) | ((~organization(sk2)) | (~positional_advantage(sk2, sk4)) | has_immunity(sk2, sk4) | (hazard_of_mortality(sk2, sk4) = low) | (~is_aligned(sk2, sk4))))),
% 0.20/0.51 inference(monotonicity,[status(thm)],[316])).
% 0.20/0.51 tff(318,plain,
% 0.20/0.51 (((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = low) | (~is_aligned(A, B)))) | (has_immunity(sk2, sk4) | (~organization(sk2)) | (~positional_advantage(sk2, sk4)) | (hazard_of_mortality(sk2, sk4) = low) | (~is_aligned(sk2, sk4)))) <=> ((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = low) | (~is_aligned(A, B)))) | (~organization(sk2)) | (~positional_advantage(sk2, sk4)) | has_immunity(sk2, sk4) | (hazard_of_mortality(sk2, sk4) = low) | (~is_aligned(sk2, sk4)))),
% 0.20/0.51 inference(transitivity,[status(thm)],[317, 315])).
% 0.20/0.51 tff(319,plain,
% 0.20/0.51 ((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = low) | (~is_aligned(A, B)))) | (has_immunity(sk2, sk4) | (~organization(sk2)) | (~positional_advantage(sk2, sk4)) | (hazard_of_mortality(sk2, sk4) = low) | (~is_aligned(sk2, sk4)))),
% 0.20/0.51 inference(quant_inst,[status(thm)],[])).
% 0.20/0.51 tff(320,plain,
% 0.20/0.51 ((~![B: $i, A: $i] : (has_immunity(A, B) | (~organization(A)) | (~positional_advantage(A, B)) | (hazard_of_mortality(A, B) = low) | (~is_aligned(A, B)))) | (~organization(sk2)) | (~positional_advantage(sk2, sk4)) | has_immunity(sk2, sk4) | (hazard_of_mortality(sk2, sk4) = low) | (~is_aligned(sk2, sk4))),
% 0.20/0.51 inference(modus_ponens,[status(thm)],[319, 318])).
% 0.20/0.51 tff(321,plain,
% 0.20/0.51 (has_immunity(sk2, sk4) | (hazard_of_mortality(sk2, sk4) = low) | (~is_aligned(sk2, sk4))),
% 0.20/0.51 inference(unit_resolution,[status(thm)],[320, 106, 7, 296])).
% 0.20/0.51 tff(322,plain,
% 0.20/0.51 ($false),
% 0.20/0.51 inference(unit_resolution,[status(thm)],[321, 314, 285, 284])).
% 0.20/0.51 tff(323,plain,(has_immunity(sk2, sk4) | (hazard_of_mortality(sk2, sk4) = low) | (hazard_of_mortality(sk2, sk4) = mod1)), inference(lemma,lemma(discharge,[]))).
% 0.20/0.51 tff(324,plain,
% 0.20/0.51 ((hazard_of_mortality(sk2, sk4) = low) | (hazard_of_mortality(sk2, sk4) = mod1)),
% 0.20/0.51 inference(unit_resolution,[status(thm)],[323, 283])).
% 0.20/0.51 tff(325,plain,
% 0.20/0.51 ($false),
% 0.20/0.51 inference(unit_resolution,[status(thm)],[324, 274, 223])).
% 0.20/0.51 tff(326,plain,(greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4))), inference(lemma,lemma(discharge,[]))).
% 0.20/0.51 tff(327,plain,
% 0.20/0.51 (((~greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4))) | (~(hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3)))) <=> ((~greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4))) | (~(hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3))))),
% 0.20/0.51 inference(rewrite,[status(thm)],[])).
% 0.20/0.51 tff(328,axiom,((~greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4))) | (~(hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','theorem_7_73')).
% 0.20/0.51 tff(329,plain,
% 0.20/0.51 ((~greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4))) | (~(hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3)))),
% 0.20/0.51 inference(modus_ponens,[status(thm)],[328, 327])).
% 0.20/0.51 tff(330,plain,
% 0.20/0.51 ((~greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4))) | (~(hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3)))),
% 0.20/0.51 inference(modus_ponens,[status(thm)],[329, 327])).
% 0.20/0.51 tff(331,plain,
% 0.20/0.51 ((~greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4))) | (~(hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3)))),
% 0.20/0.51 inference(modus_ponens,[status(thm)],[330, 327])).
% 0.20/0.51 tff(332,plain,
% 0.20/0.51 ((~greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4))) | (~(hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3)))),
% 0.20/0.51 inference(modus_ponens,[status(thm)],[331, 327])).
% 0.20/0.51 tff(333,plain,
% 0.20/0.51 ((~greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4))) | (~(hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3)))),
% 0.20/0.51 inference(modus_ponens,[status(thm)],[332, 327])).
% 0.20/0.51 tff(334,plain,
% 0.20/0.51 ((~greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4))) | (~(hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3)))),
% 0.20/0.51 inference(modus_ponens,[status(thm)],[333, 327])).
% 0.20/0.51 tff(335,plain,
% 0.20/0.51 ((~greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4))) | (~(hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3)))),
% 0.20/0.51 inference(modus_ponens,[status(thm)],[334, 327])).
% 0.20/0.51 tff(336,plain,
% 0.20/0.51 ((~greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4))) | (~(hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3)))),
% 0.20/0.51 inference(modus_ponens,[status(thm)],[335, 327])).
% 0.20/0.51 tff(337,plain,
% 0.20/0.51 ((~greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4))) | (~(hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3)))),
% 0.20/0.51 inference(modus_ponens,[status(thm)],[336, 327])).
% 0.20/0.52 tff(338,plain,
% 0.20/0.52 (~(hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3))),
% 0.20/0.52 inference(unit_resolution,[status(thm)],[337, 326])).
% 0.20/0.52 tff(339,plain,
% 0.20/0.52 (~(hazard_of_mortality(sk2, sk4) = low)),
% 0.20/0.52 inference(modus_ponens,[status(thm)],[338, 117])).
% 0.20/0.52 tff(340,plain,
% 0.20/0.52 ((hazard_of_mortality(sk2, sk4) = low) | (~is_aligned(sk2, sk4))),
% 0.20/0.52 inference(unit_resolution,[status(thm)],[321, 283])).
% 0.20/0.52 tff(341,plain,
% 0.20/0.52 (~is_aligned(sk2, sk4)),
% 0.20/0.52 inference(unit_resolution,[status(thm)],[340, 339])).
% 0.20/0.52 tff(342,plain,
% 0.20/0.52 (^[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))))),
% 0.20/0.52 inference(bind,[status(th)],[])).
% 0.20/0.52 tff(343,plain,
% 0.20/0.52 (![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)))),
% 0.20/0.52 inference(quant_intro,[status(thm)],[342])).
% 0.20/0.52 tff(344,plain,
% 0.20/0.52 (![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)))),
% 0.20/0.52 inference(rewrite,[status(thm)],[])).
% 0.20/0.52 tff(345,plain,
% 0.20/0.52 (^[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)))))),
% 0.20/0.52 inference(bind,[status(th)],[])).
% 0.20/0.52 tff(346,plain,
% 0.20/0.52 (![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)))),
% 0.20/0.52 inference(quant_intro,[status(thm)],[345])).
% 0.20/0.52 tff(347,axiom,(![B: $i, A: $i, C: $i] : ((((~organization(A)) | (~is_aligned(A, B))) | is_aligned(A, C)) | dissimilar(A, B, C))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','definition_2_44')).
% 0.20/0.52 tff(348,plain,
% 0.20/0.52 (![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | is_aligned(A, C) | (~is_aligned(A, B)) | (~organization(A)))),
% 0.20/0.52 inference(modus_ponens,[status(thm)],[347, 346])).
% 0.20/0.52 tff(349,plain,
% 0.20/0.52 (![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | is_aligned(A, C) | (~is_aligned(A, B)) | (~organization(A)))),
% 0.20/0.52 inference(modus_ponens,[status(thm)],[348, 344])).
% 0.20/0.52 tff(350,plain,(
% 0.20/0.52 ![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | is_aligned(A, C) | (~is_aligned(A, B)) | (~organization(A)))),
% 0.20/0.52 inference(skolemize,[status(sab)],[349])).
% 0.20/0.52 tff(351,plain,
% 0.20/0.52 (![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | is_aligned(A, C) | (~is_aligned(A, B)) | (~organization(A)))),
% 0.20/0.52 inference(modus_ponens,[status(thm)],[350, 343])).
% 0.20/0.52 tff(352,plain,
% 0.20/0.52 (((~![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))),
% 0.20/0.52 inference(rewrite,[status(thm)],[])).
% 0.20/0.52 tff(353,plain,
% 0.20/0.52 ((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))),
% 0.20/0.52 inference(rewrite,[status(thm)],[])).
% 0.20/0.52 tff(354,plain,
% 0.20/0.52 (((~![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)))),
% 0.20/0.52 inference(monotonicity,[status(thm)],[353])).
% 0.20/0.52 tff(355,plain,
% 0.20/0.52 (((~![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))),
% 0.20/0.52 inference(transitivity,[status(thm)],[354, 352])).
% 0.20/0.52 tff(356,plain,
% 0.20/0.52 ((~![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)))),
% 0.20/0.52 inference(quant_inst,[status(thm)],[])).
% 0.20/0.52 tff(357,plain,
% 0.20/0.52 ((~![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)),
% 0.20/0.52 inference(modus_ponens,[status(thm)],[356, 355])).
% 0.20/0.52 tff(358,plain,
% 0.20/0.52 (dissimilar(sk2, sk3, sk4)),
% 0.20/0.52 inference(unit_resolution,[status(thm)],[357, 351, 7, 96, 341])).
% 0.20/0.52 tff(359,plain,
% 0.20/0.52 (((~![B: $i, A: $i] : ((~fragile_position(A)) | (~positional_advantage(A, B)) | (~greater(age(A, B), sigma)))) | ((~fragile_position(sk2)) | (~positional_advantage(sk2, sk4)) | (~greater(age(sk2, sk4), sigma)))) <=> ((~![B: $i, A: $i] : ((~fragile_position(A)) | (~positional_advantage(A, B)) | (~greater(age(A, B), sigma)))) | (~fragile_position(sk2)) | (~positional_advantage(sk2, sk4)) | (~greater(age(sk2, sk4), sigma)))),
% 0.20/0.52 inference(rewrite,[status(thm)],[])).
% 0.20/0.52 tff(360,plain,
% 0.20/0.52 ((~![B: $i, A: $i] : ((~fragile_position(A)) | (~positional_advantage(A, B)) | (~greater(age(A, B), sigma)))) | ((~fragile_position(sk2)) | (~positional_advantage(sk2, sk4)) | (~greater(age(sk2, sk4), sigma)))),
% 0.20/0.52 inference(quant_inst,[status(thm)],[])).
% 0.20/0.52 tff(361,plain,
% 0.20/0.52 ((~![B: $i, A: $i] : ((~fragile_position(A)) | (~positional_advantage(A, B)) | (~greater(age(A, B), sigma)))) | (~fragile_position(sk2)) | (~positional_advantage(sk2, sk4)) | (~greater(age(sk2, sk4), sigma))),
% 0.20/0.52 inference(modus_ponens,[status(thm)],[360, 359])).
% 0.20/0.52 tff(362,plain,
% 0.20/0.52 ((~positional_advantage(sk2, sk4)) | (~greater(age(sk2, sk4), sigma))),
% 0.20/0.52 inference(unit_resolution,[status(thm)],[361, 154, 55])).
% 0.20/0.52 tff(363,plain,
% 0.20/0.52 (~greater(age(sk2, sk4), sigma)),
% 0.20/0.52 inference(unit_resolution,[status(thm)],[362, 296])).
% 0.20/0.52 tff(364,plain,
% 0.20/0.52 (^[B: $i, A: $i, C: $i] : refl(((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = age(sk2, sk3)))) <=> ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = age(sk2, sk3)))))),
% 0.20/0.52 inference(bind,[status(th)],[])).
% 0.20/0.52 tff(365,plain,
% 0.20/0.52 (![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = age(sk2, sk3)))) <=> ![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = age(sk2, sk3))))),
% 0.20/0.52 inference(quant_intro,[status(thm)],[364])).
% 0.20/0.52 tff(366,plain,
% 0.20/0.52 (^[B: $i, A: $i, C: $i] : trans(monotonicity(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), sigma) | (~(age(A, B) = age(sk2, sk3)))))), rewrite(((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = age(sk2, sk3)))) <=> ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(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), sigma) | (~(age(A, B) = age(sk2, sk3))))))),
% 0.20/0.52 inference(bind,[status(th)],[])).
% 0.20/0.52 tff(367,plain,
% 0.20/0.52 (![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = zero))) <=> ![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = age(sk2, sk3))))),
% 0.20/0.52 inference(quant_intro,[status(thm)],[366])).
% 0.20/0.52 tff(368,plain,
% 0.20/0.52 (![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)))),
% 0.20/0.52 inference(rewrite,[status(thm)],[])).
% 0.20/0.52 tff(369,plain,
% 0.20/0.52 (^[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)))))),
% 0.20/0.52 inference(bind,[status(th)],[])).
% 0.20/0.52 tff(370,plain,
% 0.20/0.52 (![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)))),
% 0.20/0.52 inference(quant_intro,[status(thm)],[369])).
% 0.20/0.52 tff(371,axiom,(![B: $i, A: $i, C: $i] : ((((~organization(A)) | (~(age(A, B) = zero))) | (~dissimilar(A, B, C))) | greater(age(A, C), sigma))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','assumption_15_49')).
% 0.20/0.52 tff(372,plain,
% 0.20/0.52 (![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = zero)))),
% 0.20/0.52 inference(modus_ponens,[status(thm)],[371, 370])).
% 0.20/0.52 tff(373,plain,
% 0.20/0.52 (![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = zero)))),
% 0.20/0.52 inference(modus_ponens,[status(thm)],[372, 368])).
% 0.20/0.52 tff(374,plain,
% 0.20/0.52 (![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = age(sk2, sk3))))),
% 0.20/0.52 inference(modus_ponens,[status(thm)],[373, 367])).
% 0.20/0.52 tff(375,plain,(
% 0.20/0.52 ![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = age(sk2, sk3))))),
% 0.20/0.52 inference(skolemize,[status(sab)],[374])).
% 0.20/0.52 tff(376,plain,
% 0.20/0.52 (![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = age(sk2, sk3))))),
% 0.20/0.52 inference(modus_ponens,[status(thm)],[375, 365])).
% 0.20/0.52 tff(377,plain,
% 0.20/0.52 (((~![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = age(sk2, sk3))))) | ((~organization(sk2)) | greater(age(sk2, sk4), sigma) | (~dissimilar(sk2, sk3, sk4)))) <=> ((~![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = age(sk2, sk3))))) | (~organization(sk2)) | greater(age(sk2, sk4), sigma) | (~dissimilar(sk2, sk3, sk4)))),
% 0.20/0.52 inference(rewrite,[status(thm)],[])).
% 0.20/0.52 tff(378,plain,
% 0.20/0.52 (((~dissimilar(sk2, sk3, sk4)) | (~organization(sk2)) | greater(age(sk2, sk4), sigma) | $false) <=> ((~organization(sk2)) | greater(age(sk2, sk4), sigma) | (~dissimilar(sk2, sk3, sk4)))),
% 0.20/0.52 inference(rewrite,[status(thm)],[])).
% 0.20/0.52 tff(379,plain,
% 0.20/0.52 (((~dissimilar(sk2, sk3, sk4)) | (~organization(sk2)) | greater(age(sk2, sk4), sigma) | (~(age(sk2, sk3) = age(sk2, sk3)))) <=> ((~dissimilar(sk2, sk3, sk4)) | (~organization(sk2)) | greater(age(sk2, sk4), sigma) | $false)),
% 0.20/0.52 inference(monotonicity,[status(thm)],[89])).
% 0.20/0.52 tff(380,plain,
% 0.20/0.52 (((~dissimilar(sk2, sk3, sk4)) | (~organization(sk2)) | greater(age(sk2, sk4), sigma) | (~(age(sk2, sk3) = age(sk2, sk3)))) <=> ((~organization(sk2)) | greater(age(sk2, sk4), sigma) | (~dissimilar(sk2, sk3, sk4)))),
% 0.20/0.52 inference(transitivity,[status(thm)],[379, 378])).
% 0.20/0.52 tff(381,plain,
% 0.20/0.52 (((~![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = age(sk2, sk3))))) | ((~dissimilar(sk2, sk3, sk4)) | (~organization(sk2)) | greater(age(sk2, sk4), sigma) | (~(age(sk2, sk3) = age(sk2, sk3))))) <=> ((~![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = age(sk2, sk3))))) | ((~organization(sk2)) | greater(age(sk2, sk4), sigma) | (~dissimilar(sk2, sk3, sk4))))),
% 0.20/0.52 inference(monotonicity,[status(thm)],[380])).
% 0.20/0.52 tff(382,plain,
% 0.20/0.52 (((~![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = age(sk2, sk3))))) | ((~dissimilar(sk2, sk3, sk4)) | (~organization(sk2)) | greater(age(sk2, sk4), sigma) | (~(age(sk2, sk3) = age(sk2, sk3))))) <=> ((~![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = age(sk2, sk3))))) | (~organization(sk2)) | greater(age(sk2, sk4), sigma) | (~dissimilar(sk2, sk3, sk4)))),
% 0.20/0.52 inference(transitivity,[status(thm)],[381, 377])).
% 0.20/0.52 tff(383,plain,
% 0.20/0.52 ((~![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = age(sk2, sk3))))) | ((~dissimilar(sk2, sk3, sk4)) | (~organization(sk2)) | greater(age(sk2, sk4), sigma) | (~(age(sk2, sk3) = age(sk2, sk3))))),
% 0.20/0.52 inference(quant_inst,[status(thm)],[])).
% 0.20/0.52 tff(384,plain,
% 0.20/0.52 ((~![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = age(sk2, sk3))))) | (~organization(sk2)) | greater(age(sk2, sk4), sigma) | (~dissimilar(sk2, sk3, sk4))),
% 0.20/0.52 inference(modus_ponens,[status(thm)],[383, 382])).
% 0.20/0.52 tff(385,plain,
% 0.20/0.52 ($false),
% 0.20/0.52 inference(unit_resolution,[status(thm)],[384, 376, 7, 363, 358])).
% 0.20/0.52 % SZS output end Proof
%------------------------------------------------------------------------------