TSTP Solution File: MGT055-1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : MGT055-1 : 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 05:22:15 EDT 2022
% Result : Unsatisfiable 0.50s 0.55s
% Output : Proof 0.53s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : MGT055-1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.14/0.34 % Computer : n007.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Fri Sep 2 02:41:03 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.14/0.34 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.14/0.34 Usage: tptp [options] [-file:]file
% 0.14/0.34 -h, -? prints this message.
% 0.14/0.34 -smt2 print SMT-LIB2 benchmark.
% 0.14/0.34 -m, -model generate model.
% 0.14/0.34 -p, -proof generate proof.
% 0.14/0.34 -c, -core generate unsat core of named formulas.
% 0.14/0.34 -st, -statistics display statistics.
% 0.14/0.34 -t:timeout set timeout (in second).
% 0.14/0.34 -smt2status display status in smt2 format instead of SZS.
% 0.14/0.34 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.14/0.34 -<param>:<value> configuration parameter and value.
% 0.14/0.34 -o:<output-file> file to place output in.
% 0.50/0.55 % SZS status Unsatisfiable
% 0.50/0.55 % SZS output start Proof
% 0.50/0.55 tff(greater_type, type, (
% 0.50/0.55 greater: ( $i * $i ) > $o)).
% 0.50/0.55 tff(age_type, type, (
% 0.50/0.55 age: ( $i * $i ) > $i)).
% 0.50/0.55 tff(sk5_type, type, (
% 0.50/0.55 sk5: $i)).
% 0.50/0.55 tff(sk2_type, type, (
% 0.50/0.55 sk2: $i)).
% 0.50/0.55 tff(sigma_type, type, (
% 0.50/0.55 sigma: $i)).
% 0.50/0.55 tff(smaller_type, type, (
% 0.50/0.55 smaller: ( $i * $i ) > $o)).
% 0.50/0.55 tff(dissimilar_type, type, (
% 0.50/0.55 dissimilar: ( $i * $i * $i ) > $o)).
% 0.50/0.55 tff(sk3_type, type, (
% 0.50/0.55 sk3: $i)).
% 0.50/0.55 tff(is_aligned_type, type, (
% 0.50/0.55 is_aligned: ( $i * $i ) > $o)).
% 0.50/0.55 tff(organization_type, type, (
% 0.50/0.55 organization: $i > $o)).
% 0.50/0.55 tff(zero_type, type, (
% 0.50/0.55 zero: $i)).
% 0.50/0.55 tff(capability_type, type, (
% 0.50/0.55 capability: ( $i * $i ) > $i)).
% 0.50/0.55 tff(sk6_type, type, (
% 0.50/0.55 sk6: $i)).
% 0.50/0.55 tff(has_immunity_type, type, (
% 0.50/0.55 has_immunity: ( $i * $i ) > $o)).
% 0.50/0.55 tff(eta_type, type, (
% 0.50/0.55 eta: $i)).
% 0.50/0.55 tff(has_endowment_type, type, (
% 0.50/0.55 has_endowment: $i > $o)).
% 0.50/0.55 tff(hazard_of_mortality_type, type, (
% 0.50/0.55 hazard_of_mortality: ( $i * $i ) > $i)).
% 0.50/0.55 tff(sk4_type, type, (
% 0.50/0.55 sk4: $i)).
% 0.50/0.55 tff(smaller_or_equal_type, type, (
% 0.50/0.55 smaller_or_equal: ( $i * $i ) > $o)).
% 0.50/0.55 tff(1,plain,
% 0.50/0.55 (organization(sk2) <=> organization(sk2)),
% 0.50/0.55 inference(rewrite,[status(thm)],[])).
% 0.50/0.55 tff(2,axiom,(organization(sk2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','lemma_8_59')).
% 0.50/0.55 tff(3,plain,
% 0.50/0.55 (organization(sk2)),
% 0.50/0.55 inference(modus_ponens,[status(thm)],[2, 1])).
% 0.50/0.55 tff(4,plain,
% 0.50/0.55 (^[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)))))),
% 0.50/0.55 inference(bind,[status(th)],[])).
% 0.50/0.55 tff(5,plain,
% 0.50/0.55 (![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))))),
% 0.50/0.55 inference(quant_intro,[status(thm)],[4])).
% 0.50/0.55 tff(6,plain,
% 0.50/0.55 (^[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))))))),
% 0.50/0.55 inference(bind,[status(th)],[])).
% 0.50/0.55 tff(7,plain,
% 0.50/0.55 (![B: $i, A: $i] : ((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = zero))) <=> ![B: $i, A: $i] : ((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = age(sk2, sk3))))),
% 0.50/0.55 inference(quant_intro,[status(thm)],[6])).
% 0.50/0.55 tff(8,plain,
% 0.50/0.55 (![B: $i, A: $i] : ((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = zero))) <=> ![B: $i, A: $i] : ((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = zero)))),
% 0.50/0.55 inference(rewrite,[status(thm)],[])).
% 0.50/0.55 tff(9,plain,
% 0.50/0.55 (^[B: $i, A: $i] : rewrite((((~organization(A)) | (~(age(A, B) = zero))) | is_aligned(A, B)) <=> ((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = zero))))),
% 0.50/0.55 inference(bind,[status(th)],[])).
% 0.50/0.55 tff(10,plain,
% 0.50/0.55 (![B: $i, A: $i] : (((~organization(A)) | (~(age(A, B) = zero))) | is_aligned(A, B)) <=> ![B: $i, A: $i] : ((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = zero)))),
% 0.50/0.55 inference(quant_intro,[status(thm)],[9])).
% 0.50/0.55 tff(11,axiom,(![B: $i, A: $i] : (((~organization(A)) | (~(age(A, B) = zero))) | is_aligned(A, B))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','assumption_13_54')).
% 0.50/0.55 tff(12,plain,
% 0.50/0.55 (![B: $i, A: $i] : ((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = zero)))),
% 0.50/0.55 inference(modus_ponens,[status(thm)],[11, 10])).
% 0.50/0.55 tff(13,plain,
% 0.50/0.55 (![B: $i, A: $i] : ((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = zero)))),
% 0.50/0.55 inference(modus_ponens,[status(thm)],[12, 8])).
% 0.50/0.55 tff(14,plain,
% 0.50/0.55 (![B: $i, A: $i] : ((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = age(sk2, sk3))))),
% 0.50/0.55 inference(modus_ponens,[status(thm)],[13, 7])).
% 0.50/0.55 tff(15,plain,(
% 0.50/0.55 ![B: $i, A: $i] : ((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = age(sk2, sk3))))),
% 0.50/0.55 inference(skolemize,[status(sab)],[14])).
% 0.50/0.55 tff(16,plain,
% 0.50/0.55 (![B: $i, A: $i] : ((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = age(sk2, sk3))))),
% 0.50/0.55 inference(modus_ponens,[status(thm)],[15, 5])).
% 0.50/0.55 tff(17,plain,
% 0.50/0.55 (((~![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))),
% 0.50/0.55 inference(rewrite,[status(thm)],[])).
% 0.50/0.55 tff(18,plain,
% 0.50/0.55 (((~organization(sk2)) | is_aligned(sk2, sk3) | $false) <=> ((~organization(sk2)) | is_aligned(sk2, sk3))),
% 0.50/0.55 inference(rewrite,[status(thm)],[])).
% 0.50/0.55 tff(19,plain,
% 0.50/0.55 ((~$true) <=> $false),
% 0.50/0.55 inference(rewrite,[status(thm)],[])).
% 0.50/0.55 tff(20,plain,
% 0.50/0.55 ((age(sk2, sk3) = age(sk2, sk3)) <=> $true),
% 0.50/0.55 inference(rewrite,[status(thm)],[])).
% 0.50/0.55 tff(21,plain,
% 0.50/0.55 ((~(age(sk2, sk3) = age(sk2, sk3))) <=> (~$true)),
% 0.50/0.55 inference(monotonicity,[status(thm)],[20])).
% 0.50/0.55 tff(22,plain,
% 0.50/0.55 ((~(age(sk2, sk3) = age(sk2, sk3))) <=> $false),
% 0.50/0.55 inference(transitivity,[status(thm)],[21, 19])).
% 0.50/0.55 tff(23,plain,
% 0.50/0.55 (((~organization(sk2)) | is_aligned(sk2, sk3) | (~(age(sk2, sk3) = age(sk2, sk3)))) <=> ((~organization(sk2)) | is_aligned(sk2, sk3) | $false)),
% 0.50/0.55 inference(monotonicity,[status(thm)],[22])).
% 0.50/0.55 tff(24,plain,
% 0.50/0.55 (((~organization(sk2)) | is_aligned(sk2, sk3) | (~(age(sk2, sk3) = age(sk2, sk3)))) <=> ((~organization(sk2)) | is_aligned(sk2, sk3))),
% 0.50/0.55 inference(transitivity,[status(thm)],[23, 18])).
% 0.50/0.55 tff(25,plain,
% 0.50/0.55 (((~![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)))),
% 0.50/0.55 inference(monotonicity,[status(thm)],[24])).
% 0.50/0.55 tff(26,plain,
% 0.50/0.55 (((~![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))),
% 0.50/0.55 inference(transitivity,[status(thm)],[25, 17])).
% 0.50/0.55 tff(27,plain,
% 0.50/0.55 ((~![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))))),
% 0.50/0.55 inference(quant_inst,[status(thm)],[])).
% 0.50/0.55 tff(28,plain,
% 0.50/0.55 ((~![B: $i, A: $i] : ((~organization(A)) | is_aligned(A, B) | (~(age(A, B) = age(sk2, sk3))))) | (~organization(sk2)) | is_aligned(sk2, sk3)),
% 0.50/0.55 inference(modus_ponens,[status(thm)],[27, 26])).
% 0.50/0.55 tff(29,plain,
% 0.50/0.55 (is_aligned(sk2, sk3)),
% 0.50/0.55 inference(unit_resolution,[status(thm)],[28, 16, 3])).
% 0.50/0.55 tff(30,plain,
% 0.50/0.55 (greater(sigma, eta) <=> greater(sigma, eta)),
% 0.50/0.55 inference(rewrite,[status(thm)],[])).
% 0.50/0.55 tff(31,axiom,(greater(sigma, eta)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','lemma_8_66')).
% 0.50/0.55 tff(32,plain,
% 0.50/0.55 (greater(sigma, eta)),
% 0.50/0.55 inference(modus_ponens,[status(thm)],[31, 30])).
% 0.50/0.55 tff(33,plain,
% 0.50/0.55 (greater(age(sk2, sk6), sigma) <=> greater(age(sk2, sk6), sigma)),
% 0.50/0.55 inference(rewrite,[status(thm)],[])).
% 0.50/0.55 tff(34,axiom,(greater(age(sk2, sk6), sigma)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','lemma_8_65')).
% 0.50/0.55 tff(35,plain,
% 0.50/0.55 (greater(age(sk2, sk6), sigma)),
% 0.50/0.55 inference(modus_ponens,[status(thm)],[34, 33])).
% 0.50/0.55 tff(36,plain,
% 0.50/0.55 (![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)))),
% 0.50/0.55 inference(rewrite,[status(thm)],[])).
% 0.50/0.55 tff(37,plain,
% 0.50/0.55 (![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)))),
% 0.50/0.55 inference(rewrite,[status(thm)],[])).
% 0.50/0.55 tff(38,plain,
% 0.50/0.55 (^[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))))),
% 0.50/0.55 inference(bind,[status(th)],[])).
% 0.50/0.55 tff(39,plain,
% 0.50/0.55 (![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)))),
% 0.50/0.55 inference(quant_intro,[status(thm)],[38])).
% 0.50/0.55 tff(40,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')).
% 0.50/0.55 tff(41,plain,
% 0.50/0.55 (![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))),
% 0.50/0.55 inference(modus_ponens,[status(thm)],[40, 39])).
% 0.50/0.55 tff(42,plain,
% 0.50/0.55 (![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))),
% 0.50/0.55 inference(modus_ponens,[status(thm)],[41, 37])).
% 0.50/0.55 tff(43,plain,(
% 0.50/0.55 ![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))),
% 0.50/0.55 inference(skolemize,[status(sab)],[42])).
% 0.50/0.55 tff(44,plain,
% 0.50/0.55 (![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))),
% 0.50/0.55 inference(modus_ponens,[status(thm)],[43, 36])).
% 0.50/0.55 tff(45,plain,
% 0.50/0.55 (((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(age(sk2, sk6), eta) | (~greater(sigma, eta)) | (~greater(age(sk2, sk6), sigma)))) <=> ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | greater(age(sk2, sk6), eta) | (~greater(sigma, eta)) | (~greater(age(sk2, sk6), sigma)))),
% 0.50/0.55 inference(rewrite,[status(thm)],[])).
% 0.50/0.55 tff(46,plain,
% 0.50/0.55 ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(age(sk2, sk6), eta) | (~greater(sigma, eta)) | (~greater(age(sk2, sk6), sigma)))),
% 0.50/0.55 inference(quant_inst,[status(thm)],[])).
% 0.50/0.55 tff(47,plain,
% 0.50/0.55 ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | greater(age(sk2, sk6), eta) | (~greater(sigma, eta)) | (~greater(age(sk2, sk6), sigma))),
% 0.50/0.55 inference(modus_ponens,[status(thm)],[46, 45])).
% 0.50/0.55 tff(48,plain,
% 0.50/0.55 (greater(age(sk2, sk6), eta)),
% 0.50/0.55 inference(unit_resolution,[status(thm)],[47, 44, 35, 32])).
% 0.50/0.55 tff(49,plain,
% 0.50/0.55 (has_endowment(sk2) <=> has_endowment(sk2)),
% 0.50/0.55 inference(rewrite,[status(thm)],[])).
% 0.50/0.55 tff(50,axiom,(has_endowment(sk2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','lemma_8_60')).
% 0.50/0.55 tff(51,plain,
% 0.50/0.55 (has_endowment(sk2)),
% 0.50/0.55 inference(modus_ponens,[status(thm)],[50, 49])).
% 0.50/0.55 tff(52,plain,
% 0.50/0.55 (^[B: $i, A: $i] : refl(((~has_endowment(A)) | (~has_immunity(A, B)) | (~greater(age(A, B), eta))) <=> ((~has_endowment(A)) | (~has_immunity(A, B)) | (~greater(age(A, B), eta))))),
% 0.50/0.55 inference(bind,[status(th)],[])).
% 0.50/0.55 tff(53,plain,
% 0.50/0.55 (![B: $i, A: $i] : ((~has_endowment(A)) | (~has_immunity(A, B)) | (~greater(age(A, B), eta))) <=> ![B: $i, A: $i] : ((~has_endowment(A)) | (~has_immunity(A, B)) | (~greater(age(A, B), eta)))),
% 0.50/0.55 inference(quant_intro,[status(thm)],[52])).
% 0.50/0.55 tff(54,plain,
% 0.50/0.55 (![B: $i, A: $i] : ((~has_endowment(A)) | (~has_immunity(A, B)) | (~greater(age(A, B), eta))) <=> ![B: $i, A: $i] : ((~has_endowment(A)) | (~has_immunity(A, B)) | (~greater(age(A, B), eta)))),
% 0.50/0.55 inference(rewrite,[status(thm)],[])).
% 0.50/0.55 tff(55,plain,
% 0.50/0.55 (^[B: $i, A: $i] : rewrite((((~has_endowment(A)) | (~greater(age(A, B), eta))) | (~has_immunity(A, B))) <=> ((~has_endowment(A)) | (~has_immunity(A, B)) | (~greater(age(A, B), eta))))),
% 0.50/0.55 inference(bind,[status(th)],[])).
% 0.50/0.55 tff(56,plain,
% 0.50/0.55 (![B: $i, A: $i] : (((~has_endowment(A)) | (~greater(age(A, B), eta))) | (~has_immunity(A, B))) <=> ![B: $i, A: $i] : ((~has_endowment(A)) | (~has_immunity(A, B)) | (~greater(age(A, B), eta)))),
% 0.50/0.55 inference(quant_intro,[status(thm)],[55])).
% 0.50/0.55 tff(57,axiom,(![B: $i, A: $i] : (((~has_endowment(A)) | (~greater(age(A, B), eta))) | (~has_immunity(A, B)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','definition_1_40')).
% 0.50/0.55 tff(58,plain,
% 0.50/0.55 (![B: $i, A: $i] : ((~has_endowment(A)) | (~has_immunity(A, B)) | (~greater(age(A, B), eta)))),
% 0.50/0.55 inference(modus_ponens,[status(thm)],[57, 56])).
% 0.50/0.55 tff(59,plain,
% 0.50/0.55 (![B: $i, A: $i] : ((~has_endowment(A)) | (~has_immunity(A, B)) | (~greater(age(A, B), eta)))),
% 0.50/0.55 inference(modus_ponens,[status(thm)],[58, 54])).
% 0.50/0.55 tff(60,plain,(
% 0.50/0.55 ![B: $i, A: $i] : ((~has_endowment(A)) | (~has_immunity(A, B)) | (~greater(age(A, B), eta)))),
% 0.50/0.55 inference(skolemize,[status(sab)],[59])).
% 0.50/0.55 tff(61,plain,
% 0.50/0.55 (![B: $i, A: $i] : ((~has_endowment(A)) | (~has_immunity(A, B)) | (~greater(age(A, B), eta)))),
% 0.50/0.55 inference(modus_ponens,[status(thm)],[60, 53])).
% 0.50/0.55 tff(62,plain,
% 0.50/0.55 (((~![B: $i, A: $i] : ((~has_endowment(A)) | (~has_immunity(A, B)) | (~greater(age(A, B), eta)))) | ((~has_endowment(sk2)) | (~has_immunity(sk2, sk6)) | (~greater(age(sk2, sk6), eta)))) <=> ((~![B: $i, A: $i] : ((~has_endowment(A)) | (~has_immunity(A, B)) | (~greater(age(A, B), eta)))) | (~has_endowment(sk2)) | (~has_immunity(sk2, sk6)) | (~greater(age(sk2, sk6), eta)))),
% 0.50/0.55 inference(rewrite,[status(thm)],[])).
% 0.50/0.55 tff(63,plain,
% 0.50/0.55 ((~![B: $i, A: $i] : ((~has_endowment(A)) | (~has_immunity(A, B)) | (~greater(age(A, B), eta)))) | ((~has_endowment(sk2)) | (~has_immunity(sk2, sk6)) | (~greater(age(sk2, sk6), eta)))),
% 0.50/0.55 inference(quant_inst,[status(thm)],[])).
% 0.50/0.55 tff(64,plain,
% 0.50/0.55 ((~![B: $i, A: $i] : ((~has_endowment(A)) | (~has_immunity(A, B)) | (~greater(age(A, B), eta)))) | (~has_endowment(sk2)) | (~has_immunity(sk2, sk6)) | (~greater(age(sk2, sk6), eta))),
% 0.50/0.55 inference(modus_ponens,[status(thm)],[63, 62])).
% 0.50/0.55 tff(65,plain,
% 0.50/0.55 (~has_immunity(sk2, sk6)),
% 0.50/0.55 inference(unit_resolution,[status(thm)],[64, 61, 51, 48])).
% 0.50/0.55 tff(66,plain,
% 0.50/0.55 (greater(age(sk2, sk5), eta) <=> greater(age(sk2, sk5), eta)),
% 0.50/0.55 inference(rewrite,[status(thm)],[])).
% 0.50/0.55 tff(67,axiom,(greater(age(sk2, sk5), eta)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','lemma_8_63')).
% 0.50/0.55 tff(68,plain,
% 0.50/0.55 (greater(age(sk2, sk5), eta)),
% 0.50/0.55 inference(modus_ponens,[status(thm)],[67, 66])).
% 0.50/0.55 tff(69,plain,
% 0.50/0.55 (((~![B: $i, A: $i] : ((~has_endowment(A)) | (~has_immunity(A, B)) | (~greater(age(A, B), eta)))) | ((~has_endowment(sk2)) | (~has_immunity(sk2, sk5)) | (~greater(age(sk2, sk5), eta)))) <=> ((~![B: $i, A: $i] : ((~has_endowment(A)) | (~has_immunity(A, B)) | (~greater(age(A, B), eta)))) | (~has_endowment(sk2)) | (~has_immunity(sk2, sk5)) | (~greater(age(sk2, sk5), eta)))),
% 0.50/0.55 inference(rewrite,[status(thm)],[])).
% 0.50/0.55 tff(70,plain,
% 0.50/0.55 ((~![B: $i, A: $i] : ((~has_endowment(A)) | (~has_immunity(A, B)) | (~greater(age(A, B), eta)))) | ((~has_endowment(sk2)) | (~has_immunity(sk2, sk5)) | (~greater(age(sk2, sk5), eta)))),
% 0.50/0.55 inference(quant_inst,[status(thm)],[])).
% 0.50/0.55 tff(71,plain,
% 0.50/0.55 ((~![B: $i, A: $i] : ((~has_endowment(A)) | (~has_immunity(A, B)) | (~greater(age(A, B), eta)))) | (~has_endowment(sk2)) | (~has_immunity(sk2, sk5)) | (~greater(age(sk2, sk5), eta))),
% 0.50/0.55 inference(modus_ponens,[status(thm)],[70, 69])).
% 0.50/0.55 tff(72,plain,
% 0.50/0.55 (~has_immunity(sk2, sk5)),
% 0.50/0.55 inference(unit_resolution,[status(thm)],[71, 61, 51, 68])).
% 0.50/0.55 tff(73,plain,
% 0.50/0.55 (smaller_or_equal(age(sk2, sk4), eta) <=> smaller_or_equal(age(sk2, sk4), eta)),
% 0.50/0.55 inference(rewrite,[status(thm)],[])).
% 0.50/0.55 tff(74,axiom,(smaller_or_equal(age(sk2, sk4), eta)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','lemma_8_62')).
% 0.50/0.55 tff(75,plain,
% 0.50/0.55 (smaller_or_equal(age(sk2, sk4), eta)),
% 0.50/0.55 inference(modus_ponens,[status(thm)],[74, 73])).
% 0.50/0.55 tff(76,plain,
% 0.50/0.55 (^[B: $i, A: $i] : refl(((~has_endowment(A)) | has_immunity(A, B) | (~smaller_or_equal(age(A, B), eta))) <=> ((~has_endowment(A)) | has_immunity(A, B) | (~smaller_or_equal(age(A, B), eta))))),
% 0.50/0.55 inference(bind,[status(th)],[])).
% 0.50/0.55 tff(77,plain,
% 0.50/0.55 (![B: $i, A: $i] : ((~has_endowment(A)) | has_immunity(A, B) | (~smaller_or_equal(age(A, B), eta))) <=> ![B: $i, A: $i] : ((~has_endowment(A)) | has_immunity(A, B) | (~smaller_or_equal(age(A, B), eta)))),
% 0.50/0.55 inference(quant_intro,[status(thm)],[76])).
% 0.50/0.55 tff(78,plain,
% 0.50/0.55 (![B: $i, A: $i] : ((~has_endowment(A)) | has_immunity(A, B) | (~smaller_or_equal(age(A, B), eta))) <=> ![B: $i, A: $i] : ((~has_endowment(A)) | has_immunity(A, B) | (~smaller_or_equal(age(A, B), eta)))),
% 0.50/0.55 inference(rewrite,[status(thm)],[])).
% 0.50/0.55 tff(79,plain,
% 0.50/0.55 (^[B: $i, A: $i] : rewrite((((~has_endowment(A)) | (~smaller_or_equal(age(A, B), eta))) | has_immunity(A, B)) <=> ((~has_endowment(A)) | has_immunity(A, B) | (~smaller_or_equal(age(A, B), eta))))),
% 0.50/0.55 inference(bind,[status(th)],[])).
% 0.50/0.55 tff(80,plain,
% 0.50/0.55 (![B: $i, A: $i] : (((~has_endowment(A)) | (~smaller_or_equal(age(A, B), eta))) | has_immunity(A, B)) <=> ![B: $i, A: $i] : ((~has_endowment(A)) | has_immunity(A, B) | (~smaller_or_equal(age(A, B), eta)))),
% 0.50/0.55 inference(quant_intro,[status(thm)],[79])).
% 0.50/0.55 tff(81,axiom,(![B: $i, A: $i] : (((~has_endowment(A)) | (~smaller_or_equal(age(A, B), eta))) | has_immunity(A, B))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','definition_1_39')).
% 0.50/0.55 tff(82,plain,
% 0.50/0.55 (![B: $i, A: $i] : ((~has_endowment(A)) | has_immunity(A, B) | (~smaller_or_equal(age(A, B), eta)))),
% 0.50/0.55 inference(modus_ponens,[status(thm)],[81, 80])).
% 0.50/0.55 tff(83,plain,
% 0.50/0.55 (![B: $i, A: $i] : ((~has_endowment(A)) | has_immunity(A, B) | (~smaller_or_equal(age(A, B), eta)))),
% 0.50/0.55 inference(modus_ponens,[status(thm)],[82, 78])).
% 0.50/0.55 tff(84,plain,(
% 0.50/0.55 ![B: $i, A: $i] : ((~has_endowment(A)) | has_immunity(A, B) | (~smaller_or_equal(age(A, B), eta)))),
% 0.50/0.55 inference(skolemize,[status(sab)],[83])).
% 0.50/0.55 tff(85,plain,
% 0.50/0.55 (![B: $i, A: $i] : ((~has_endowment(A)) | has_immunity(A, B) | (~smaller_or_equal(age(A, B), eta)))),
% 0.50/0.55 inference(modus_ponens,[status(thm)],[84, 77])).
% 0.50/0.55 tff(86,plain,
% 0.50/0.55 (((~![B: $i, A: $i] : ((~has_endowment(A)) | has_immunity(A, B) | (~smaller_or_equal(age(A, B), eta)))) | ((~smaller_or_equal(age(sk2, sk4), eta)) | (~has_endowment(sk2)) | has_immunity(sk2, sk4))) <=> ((~![B: $i, A: $i] : ((~has_endowment(A)) | has_immunity(A, B) | (~smaller_or_equal(age(A, B), eta)))) | (~smaller_or_equal(age(sk2, sk4), eta)) | (~has_endowment(sk2)) | has_immunity(sk2, sk4))),
% 0.50/0.55 inference(rewrite,[status(thm)],[])).
% 0.50/0.55 tff(87,plain,
% 0.50/0.55 (((~has_endowment(sk2)) | has_immunity(sk2, sk4) | (~smaller_or_equal(age(sk2, sk4), eta))) <=> ((~smaller_or_equal(age(sk2, sk4), eta)) | (~has_endowment(sk2)) | has_immunity(sk2, sk4))),
% 0.50/0.55 inference(rewrite,[status(thm)],[])).
% 0.50/0.55 tff(88,plain,
% 0.50/0.55 (((~![B: $i, A: $i] : ((~has_endowment(A)) | has_immunity(A, B) | (~smaller_or_equal(age(A, B), eta)))) | ((~has_endowment(sk2)) | has_immunity(sk2, sk4) | (~smaller_or_equal(age(sk2, sk4), eta)))) <=> ((~![B: $i, A: $i] : ((~has_endowment(A)) | has_immunity(A, B) | (~smaller_or_equal(age(A, B), eta)))) | ((~smaller_or_equal(age(sk2, sk4), eta)) | (~has_endowment(sk2)) | has_immunity(sk2, sk4)))),
% 0.50/0.55 inference(monotonicity,[status(thm)],[87])).
% 0.50/0.55 tff(89,plain,
% 0.50/0.55 (((~![B: $i, A: $i] : ((~has_endowment(A)) | has_immunity(A, B) | (~smaller_or_equal(age(A, B), eta)))) | ((~has_endowment(sk2)) | has_immunity(sk2, sk4) | (~smaller_or_equal(age(sk2, sk4), eta)))) <=> ((~![B: $i, A: $i] : ((~has_endowment(A)) | has_immunity(A, B) | (~smaller_or_equal(age(A, B), eta)))) | (~smaller_or_equal(age(sk2, sk4), eta)) | (~has_endowment(sk2)) | has_immunity(sk2, sk4))),
% 0.50/0.55 inference(transitivity,[status(thm)],[88, 86])).
% 0.50/0.55 tff(90,plain,
% 0.50/0.55 ((~![B: $i, A: $i] : ((~has_endowment(A)) | has_immunity(A, B) | (~smaller_or_equal(age(A, B), eta)))) | ((~has_endowment(sk2)) | has_immunity(sk2, sk4) | (~smaller_or_equal(age(sk2, sk4), eta)))),
% 0.50/0.55 inference(quant_inst,[status(thm)],[])).
% 0.50/0.55 tff(91,plain,
% 0.50/0.55 ((~![B: $i, A: $i] : ((~has_endowment(A)) | has_immunity(A, B) | (~smaller_or_equal(age(A, B), eta)))) | (~smaller_or_equal(age(sk2, sk4), eta)) | (~has_endowment(sk2)) | has_immunity(sk2, sk4)),
% 0.50/0.55 inference(modus_ponens,[status(thm)],[90, 89])).
% 0.50/0.55 tff(92,plain,
% 0.50/0.55 (has_immunity(sk2, sk4)),
% 0.50/0.55 inference(unit_resolution,[status(thm)],[91, 85, 51, 75])).
% 0.50/0.55 tff(93,plain,
% 0.50/0.55 (^[B: $i, A: $i, C: $i] : refl((greater(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | has_immunity(A, C) | (~has_immunity(A, B)) | (~organization(A))) <=> (greater(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | has_immunity(A, C) | (~has_immunity(A, B)) | (~organization(A))))),
% 0.50/0.55 inference(bind,[status(th)],[])).
% 0.50/0.56 tff(94,plain,
% 0.50/0.56 (![B: $i, A: $i, C: $i] : (greater(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | has_immunity(A, C) | (~has_immunity(A, B)) | (~organization(A))) <=> ![B: $i, A: $i, C: $i] : (greater(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | has_immunity(A, C) | (~has_immunity(A, B)) | (~organization(A)))),
% 0.50/0.56 inference(quant_intro,[status(thm)],[93])).
% 0.50/0.56 tff(95,plain,
% 0.50/0.56 (![B: $i, A: $i, C: $i] : (greater(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | has_immunity(A, C) | (~has_immunity(A, B)) | (~organization(A))) <=> ![B: $i, A: $i, C: $i] : (greater(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | has_immunity(A, C) | (~has_immunity(A, B)) | (~organization(A)))),
% 0.50/0.56 inference(rewrite,[status(thm)],[])).
% 0.50/0.56 tff(96,plain,
% 0.50/0.56 (^[B: $i, A: $i, C: $i] : trans(monotonicity(rewrite((((~organization(A)) | (~has_immunity(A, B))) | has_immunity(A, C)) <=> (has_immunity(A, C) | (~has_immunity(A, B)) | (~organization(A)))), (((((~organization(A)) | (~has_immunity(A, B))) | has_immunity(A, C)) | greater(hazard_of_mortality(A, C), hazard_of_mortality(A, B))) <=> ((has_immunity(A, C) | (~has_immunity(A, B)) | (~organization(A))) | greater(hazard_of_mortality(A, C), hazard_of_mortality(A, B))))), rewrite(((has_immunity(A, C) | (~has_immunity(A, B)) | (~organization(A))) | greater(hazard_of_mortality(A, C), hazard_of_mortality(A, B))) <=> (greater(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | has_immunity(A, C) | (~has_immunity(A, B)) | (~organization(A)))), (((((~organization(A)) | (~has_immunity(A, B))) | has_immunity(A, C)) | greater(hazard_of_mortality(A, C), hazard_of_mortality(A, B))) <=> (greater(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | has_immunity(A, C) | (~has_immunity(A, B)) | (~organization(A)))))),
% 0.50/0.56 inference(bind,[status(th)],[])).
% 0.50/0.56 tff(97,plain,
% 0.50/0.56 (![B: $i, A: $i, C: $i] : ((((~organization(A)) | (~has_immunity(A, B))) | has_immunity(A, C)) | greater(hazard_of_mortality(A, C), hazard_of_mortality(A, B))) <=> ![B: $i, A: $i, C: $i] : (greater(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | has_immunity(A, C) | (~has_immunity(A, B)) | (~organization(A)))),
% 0.50/0.56 inference(quant_intro,[status(thm)],[96])).
% 0.50/0.56 tff(98,axiom,(![B: $i, A: $i, C: $i] : ((((~organization(A)) | (~has_immunity(A, B))) | has_immunity(A, C)) | greater(hazard_of_mortality(A, C), hazard_of_mortality(A, B)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','assumption_3_46')).
% 0.50/0.56 tff(99,plain,
% 0.50/0.56 (![B: $i, A: $i, C: $i] : (greater(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | has_immunity(A, C) | (~has_immunity(A, B)) | (~organization(A)))),
% 0.50/0.56 inference(modus_ponens,[status(thm)],[98, 97])).
% 0.50/0.56 tff(100,plain,
% 0.50/0.56 (![B: $i, A: $i, C: $i] : (greater(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | has_immunity(A, C) | (~has_immunity(A, B)) | (~organization(A)))),
% 0.50/0.56 inference(modus_ponens,[status(thm)],[99, 95])).
% 0.50/0.56 tff(101,plain,(
% 0.50/0.56 ![B: $i, A: $i, C: $i] : (greater(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | has_immunity(A, C) | (~has_immunity(A, B)) | (~organization(A)))),
% 0.50/0.56 inference(skolemize,[status(sab)],[100])).
% 0.50/0.56 tff(102,plain,
% 0.50/0.56 (![B: $i, A: $i, C: $i] : (greater(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | has_immunity(A, C) | (~has_immunity(A, B)) | (~organization(A)))),
% 0.50/0.56 inference(modus_ponens,[status(thm)],[101, 94])).
% 0.50/0.56 tff(103,plain,
% 0.50/0.56 (((~![B: $i, A: $i, C: $i] : (greater(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | has_immunity(A, C) | (~has_immunity(A, B)) | (~organization(A)))) | (greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4)) | (~organization(sk2)) | (~has_immunity(sk2, sk4)) | has_immunity(sk2, sk5))) <=> ((~![B: $i, A: $i, C: $i] : (greater(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | has_immunity(A, C) | (~has_immunity(A, B)) | (~organization(A)))) | greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4)) | (~organization(sk2)) | (~has_immunity(sk2, sk4)) | has_immunity(sk2, sk5))),
% 0.50/0.56 inference(rewrite,[status(thm)],[])).
% 0.50/0.56 tff(104,plain,
% 0.50/0.56 ((greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4)) | has_immunity(sk2, sk5) | (~has_immunity(sk2, sk4)) | (~organization(sk2))) <=> (greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4)) | (~organization(sk2)) | (~has_immunity(sk2, sk4)) | has_immunity(sk2, sk5))),
% 0.50/0.56 inference(rewrite,[status(thm)],[])).
% 0.50/0.56 tff(105,plain,
% 0.50/0.56 (((~![B: $i, A: $i, C: $i] : (greater(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | has_immunity(A, C) | (~has_immunity(A, B)) | (~organization(A)))) | (greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4)) | has_immunity(sk2, sk5) | (~has_immunity(sk2, sk4)) | (~organization(sk2)))) <=> ((~![B: $i, A: $i, C: $i] : (greater(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | has_immunity(A, C) | (~has_immunity(A, B)) | (~organization(A)))) | (greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4)) | (~organization(sk2)) | (~has_immunity(sk2, sk4)) | has_immunity(sk2, sk5)))),
% 0.50/0.56 inference(monotonicity,[status(thm)],[104])).
% 0.50/0.56 tff(106,plain,
% 0.50/0.56 (((~![B: $i, A: $i, C: $i] : (greater(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | has_immunity(A, C) | (~has_immunity(A, B)) | (~organization(A)))) | (greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4)) | has_immunity(sk2, sk5) | (~has_immunity(sk2, sk4)) | (~organization(sk2)))) <=> ((~![B: $i, A: $i, C: $i] : (greater(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | has_immunity(A, C) | (~has_immunity(A, B)) | (~organization(A)))) | greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4)) | (~organization(sk2)) | (~has_immunity(sk2, sk4)) | has_immunity(sk2, sk5))),
% 0.50/0.56 inference(transitivity,[status(thm)],[105, 103])).
% 0.50/0.56 tff(107,plain,
% 0.50/0.56 ((~![B: $i, A: $i, C: $i] : (greater(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | has_immunity(A, C) | (~has_immunity(A, B)) | (~organization(A)))) | (greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4)) | has_immunity(sk2, sk5) | (~has_immunity(sk2, sk4)) | (~organization(sk2)))),
% 0.50/0.56 inference(quant_inst,[status(thm)],[])).
% 0.50/0.56 tff(108,plain,
% 0.50/0.56 ((~![B: $i, A: $i, C: $i] : (greater(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | has_immunity(A, C) | (~has_immunity(A, B)) | (~organization(A)))) | greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4)) | (~organization(sk2)) | (~has_immunity(sk2, sk4)) | has_immunity(sk2, sk5)),
% 0.50/0.56 inference(modus_ponens,[status(thm)],[107, 106])).
% 0.50/0.56 tff(109,plain,
% 0.50/0.56 (greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4))),
% 0.50/0.56 inference(unit_resolution,[status(thm)],[108, 102, 3, 92, 72])).
% 0.50/0.56 tff(110,plain,
% 0.50/0.56 (greater(eta, zero) <=> greater(eta, age(sk2, sk3))),
% 0.50/0.56 inference(rewrite,[status(thm)],[])).
% 0.50/0.56 tff(111,plain,
% 0.50/0.56 (greater(eta, zero) <=> greater(eta, zero)),
% 0.50/0.56 inference(rewrite,[status(thm)],[])).
% 0.50/0.56 tff(112,axiom,(greater(eta, zero)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','lemma_8_67')).
% 0.50/0.56 tff(113,plain,
% 0.50/0.56 (greater(eta, zero)),
% 0.50/0.56 inference(modus_ponens,[status(thm)],[112, 111])).
% 0.50/0.56 tff(114,plain,
% 0.50/0.56 (greater(eta, age(sk2, sk3))),
% 0.50/0.56 inference(modus_ponens,[status(thm)],[113, 110])).
% 0.50/0.56 tff(115,plain,
% 0.50/0.56 (^[B: $i, A: $i] : refl(((~greater(A, B)) | smaller(B, A)) <=> ((~greater(A, B)) | smaller(B, A)))),
% 0.50/0.56 inference(bind,[status(th)],[])).
% 0.50/0.56 tff(116,plain,
% 0.50/0.56 (![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A)) <=> ![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))),
% 0.50/0.56 inference(quant_intro,[status(thm)],[115])).
% 0.50/0.56 tff(117,plain,
% 0.50/0.56 (![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A)) <=> ![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))),
% 0.50/0.56 inference(rewrite,[status(thm)],[])).
% 0.50/0.56 tff(118,axiom,(![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))), file('/export/starexec/sandbox2/benchmark/Axioms/MGT001-0.ax','definition_smaller_8')).
% 0.50/0.56 tff(119,plain,
% 0.50/0.56 (![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))),
% 0.50/0.56 inference(modus_ponens,[status(thm)],[118, 117])).
% 0.50/0.56 tff(120,plain,(
% 0.50/0.56 ![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))),
% 0.50/0.56 inference(skolemize,[status(sab)],[119])).
% 0.50/0.56 tff(121,plain,
% 0.50/0.56 (![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))),
% 0.50/0.56 inference(modus_ponens,[status(thm)],[120, 116])).
% 0.50/0.56 tff(122,plain,
% 0.50/0.56 (((~![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))) | ((~greater(eta, age(sk2, sk3))) | smaller(age(sk2, sk3), eta))) <=> ((~![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))) | (~greater(eta, age(sk2, sk3))) | smaller(age(sk2, sk3), eta))),
% 0.50/0.56 inference(rewrite,[status(thm)],[])).
% 0.50/0.56 tff(123,plain,
% 0.50/0.56 ((~![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))) | ((~greater(eta, age(sk2, sk3))) | smaller(age(sk2, sk3), eta))),
% 0.50/0.56 inference(quant_inst,[status(thm)],[])).
% 0.50/0.56 tff(124,plain,
% 0.50/0.56 ((~![B: $i, A: $i] : ((~greater(A, B)) | smaller(B, A))) | (~greater(eta, age(sk2, sk3))) | smaller(age(sk2, sk3), eta)),
% 0.50/0.56 inference(modus_ponens,[status(thm)],[123, 122])).
% 0.50/0.56 tff(125,plain,
% 0.50/0.56 (smaller(age(sk2, sk3), eta)),
% 0.50/0.56 inference(unit_resolution,[status(thm)],[124, 121, 114])).
% 0.50/0.56 tff(126,plain,
% 0.50/0.56 (^[B: $i, A: $i] : refl(((~smaller(A, B)) | smaller_or_equal(A, B)) <=> ((~smaller(A, B)) | smaller_or_equal(A, B)))),
% 0.50/0.56 inference(bind,[status(th)],[])).
% 0.50/0.56 tff(127,plain,
% 0.50/0.56 (![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B)) <=> ![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B))),
% 0.50/0.56 inference(quant_intro,[status(thm)],[126])).
% 0.50/0.56 tff(128,plain,
% 0.50/0.56 (![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B)) <=> ![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B))),
% 0.50/0.56 inference(rewrite,[status(thm)],[])).
% 0.50/0.56 tff(129,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')).
% 0.50/0.56 tff(130,plain,
% 0.50/0.56 (![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B))),
% 0.50/0.56 inference(modus_ponens,[status(thm)],[129, 128])).
% 0.50/0.56 tff(131,plain,(
% 0.50/0.56 ![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B))),
% 0.50/0.56 inference(skolemize,[status(sab)],[130])).
% 0.50/0.56 tff(132,plain,
% 0.50/0.56 (![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B))),
% 0.50/0.56 inference(modus_ponens,[status(thm)],[131, 127])).
% 0.50/0.56 tff(133,plain,
% 0.50/0.56 (((~![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B))) | ((~smaller(age(sk2, sk3), eta)) | smaller_or_equal(age(sk2, sk3), eta))) <=> ((~![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B))) | (~smaller(age(sk2, sk3), eta)) | smaller_or_equal(age(sk2, sk3), eta))),
% 0.50/0.56 inference(rewrite,[status(thm)],[])).
% 0.50/0.56 tff(134,plain,
% 0.50/0.56 ((~![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B))) | ((~smaller(age(sk2, sk3), eta)) | smaller_or_equal(age(sk2, sk3), eta))),
% 0.50/0.56 inference(quant_inst,[status(thm)],[])).
% 0.50/0.56 tff(135,plain,
% 0.50/0.56 ((~![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B))) | (~smaller(age(sk2, sk3), eta)) | smaller_or_equal(age(sk2, sk3), eta)),
% 0.50/0.56 inference(modus_ponens,[status(thm)],[134, 133])).
% 0.50/0.56 tff(136,plain,
% 0.50/0.56 (smaller_or_equal(age(sk2, sk3), eta)),
% 0.50/0.56 inference(unit_resolution,[status(thm)],[135, 132, 125])).
% 0.50/0.56 tff(137,plain,
% 0.50/0.56 (((~![B: $i, A: $i] : ((~has_endowment(A)) | has_immunity(A, B) | (~smaller_or_equal(age(A, B), eta)))) | ((~has_endowment(sk2)) | has_immunity(sk2, sk3) | (~smaller_or_equal(age(sk2, sk3), eta)))) <=> ((~![B: $i, A: $i] : ((~has_endowment(A)) | has_immunity(A, B) | (~smaller_or_equal(age(A, B), eta)))) | (~has_endowment(sk2)) | has_immunity(sk2, sk3) | (~smaller_or_equal(age(sk2, sk3), eta)))),
% 0.50/0.56 inference(rewrite,[status(thm)],[])).
% 0.50/0.56 tff(138,plain,
% 0.50/0.56 ((~![B: $i, A: $i] : ((~has_endowment(A)) | has_immunity(A, B) | (~smaller_or_equal(age(A, B), eta)))) | ((~has_endowment(sk2)) | has_immunity(sk2, sk3) | (~smaller_or_equal(age(sk2, sk3), eta)))),
% 0.50/0.56 inference(quant_inst,[status(thm)],[])).
% 0.50/0.56 tff(139,plain,
% 0.50/0.56 ((~![B: $i, A: $i] : ((~has_endowment(A)) | has_immunity(A, B) | (~smaller_or_equal(age(A, B), eta)))) | (~has_endowment(sk2)) | has_immunity(sk2, sk3) | (~smaller_or_equal(age(sk2, sk3), eta))),
% 0.50/0.56 inference(modus_ponens,[status(thm)],[138, 137])).
% 0.50/0.56 tff(140,plain,
% 0.50/0.56 (has_immunity(sk2, sk3) | (~smaller_or_equal(age(sk2, sk3), eta))),
% 0.50/0.56 inference(unit_resolution,[status(thm)],[139, 85, 51])).
% 0.50/0.56 tff(141,plain,
% 0.50/0.56 (has_immunity(sk2, sk3)),
% 0.50/0.56 inference(unit_resolution,[status(thm)],[140, 136])).
% 0.50/0.56 tff(142,assumption,(~(hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3))), introduced(assumption)).
% 0.50/0.56 tff(143,plain,
% 0.50/0.56 (^[B: $i, A: $i, C: $i] : refl(((hazard_of_mortality(A, B) = hazard_of_mortality(A, C)) | (~has_immunity(A, C)) | (~has_immunity(A, B)) | (~organization(A))) <=> ((hazard_of_mortality(A, B) = hazard_of_mortality(A, C)) | (~has_immunity(A, C)) | (~has_immunity(A, B)) | (~organization(A))))),
% 0.50/0.56 inference(bind,[status(th)],[])).
% 0.50/0.56 tff(144,plain,
% 0.50/0.56 (![B: $i, A: $i, C: $i] : ((hazard_of_mortality(A, B) = hazard_of_mortality(A, C)) | (~has_immunity(A, C)) | (~has_immunity(A, B)) | (~organization(A))) <=> ![B: $i, A: $i, C: $i] : ((hazard_of_mortality(A, B) = hazard_of_mortality(A, C)) | (~has_immunity(A, C)) | (~has_immunity(A, B)) | (~organization(A)))),
% 0.50/0.56 inference(quant_intro,[status(thm)],[143])).
% 0.50/0.56 tff(145,plain,
% 0.50/0.56 (![B: $i, A: $i, C: $i] : ((hazard_of_mortality(A, B) = hazard_of_mortality(A, C)) | (~has_immunity(A, C)) | (~has_immunity(A, B)) | (~organization(A))) <=> ![B: $i, A: $i, C: $i] : ((hazard_of_mortality(A, B) = hazard_of_mortality(A, C)) | (~has_immunity(A, C)) | (~has_immunity(A, B)) | (~organization(A)))),
% 0.50/0.56 inference(rewrite,[status(thm)],[])).
% 0.50/0.56 tff(146,plain,
% 0.50/0.56 (^[B: $i, A: $i, C: $i] : trans(monotonicity(rewrite((((~organization(A)) | (~has_immunity(A, B))) | (~has_immunity(A, C))) <=> ((~has_immunity(A, C)) | (~has_immunity(A, B)) | (~organization(A)))), (((((~organization(A)) | (~has_immunity(A, B))) | (~has_immunity(A, C))) | (hazard_of_mortality(A, B) = hazard_of_mortality(A, C))) <=> (((~has_immunity(A, C)) | (~has_immunity(A, B)) | (~organization(A))) | (hazard_of_mortality(A, B) = hazard_of_mortality(A, C))))), rewrite((((~has_immunity(A, C)) | (~has_immunity(A, B)) | (~organization(A))) | (hazard_of_mortality(A, B) = hazard_of_mortality(A, C))) <=> ((hazard_of_mortality(A, B) = hazard_of_mortality(A, C)) | (~has_immunity(A, C)) | (~has_immunity(A, B)) | (~organization(A)))), (((((~organization(A)) | (~has_immunity(A, B))) | (~has_immunity(A, C))) | (hazard_of_mortality(A, B) = hazard_of_mortality(A, C))) <=> ((hazard_of_mortality(A, B) = hazard_of_mortality(A, C)) | (~has_immunity(A, C)) | (~has_immunity(A, B)) | (~organization(A)))))),
% 0.50/0.56 inference(bind,[status(th)],[])).
% 0.50/0.56 tff(147,plain,
% 0.50/0.56 (![B: $i, A: $i, C: $i] : ((((~organization(A)) | (~has_immunity(A, B))) | (~has_immunity(A, C))) | (hazard_of_mortality(A, B) = hazard_of_mortality(A, C))) <=> ![B: $i, A: $i, C: $i] : ((hazard_of_mortality(A, B) = hazard_of_mortality(A, C)) | (~has_immunity(A, C)) | (~has_immunity(A, B)) | (~organization(A)))),
% 0.50/0.56 inference(quant_intro,[status(thm)],[146])).
% 0.50/0.56 tff(148,axiom,(![B: $i, A: $i, C: $i] : ((((~organization(A)) | (~has_immunity(A, B))) | (~has_immunity(A, C))) | (hazard_of_mortality(A, B) = hazard_of_mortality(A, C)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','assumption_2_45')).
% 0.50/0.56 tff(149,plain,
% 0.50/0.56 (![B: $i, A: $i, C: $i] : ((hazard_of_mortality(A, B) = hazard_of_mortality(A, C)) | (~has_immunity(A, C)) | (~has_immunity(A, B)) | (~organization(A)))),
% 0.50/0.56 inference(modus_ponens,[status(thm)],[148, 147])).
% 0.50/0.56 tff(150,plain,
% 0.50/0.56 (![B: $i, A: $i, C: $i] : ((hazard_of_mortality(A, B) = hazard_of_mortality(A, C)) | (~has_immunity(A, C)) | (~has_immunity(A, B)) | (~organization(A)))),
% 0.50/0.56 inference(modus_ponens,[status(thm)],[149, 145])).
% 0.50/0.56 tff(151,plain,(
% 0.50/0.56 ![B: $i, A: $i, C: $i] : ((hazard_of_mortality(A, B) = hazard_of_mortality(A, C)) | (~has_immunity(A, C)) | (~has_immunity(A, B)) | (~organization(A)))),
% 0.50/0.56 inference(skolemize,[status(sab)],[150])).
% 0.50/0.56 tff(152,plain,
% 0.50/0.56 (![B: $i, A: $i, C: $i] : ((hazard_of_mortality(A, B) = hazard_of_mortality(A, C)) | (~has_immunity(A, C)) | (~has_immunity(A, B)) | (~organization(A)))),
% 0.50/0.56 inference(modus_ponens,[status(thm)],[151, 144])).
% 0.50/0.56 tff(153,plain,
% 0.50/0.56 (((~![B: $i, A: $i, C: $i] : ((hazard_of_mortality(A, B) = hazard_of_mortality(A, C)) | (~has_immunity(A, C)) | (~has_immunity(A, B)) | (~organization(A)))) | ((hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3)) | (~organization(sk2)) | (~has_immunity(sk2, sk4)) | (~has_immunity(sk2, sk3)))) <=> ((~![B: $i, A: $i, C: $i] : ((hazard_of_mortality(A, B) = hazard_of_mortality(A, C)) | (~has_immunity(A, C)) | (~has_immunity(A, B)) | (~organization(A)))) | (hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3)) | (~organization(sk2)) | (~has_immunity(sk2, sk4)) | (~has_immunity(sk2, sk3)))),
% 0.50/0.56 inference(rewrite,[status(thm)],[])).
% 0.50/0.56 tff(154,plain,
% 0.50/0.56 (((hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3)) | (~has_immunity(sk2, sk3)) | (~has_immunity(sk2, sk4)) | (~organization(sk2))) <=> ((hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3)) | (~organization(sk2)) | (~has_immunity(sk2, sk4)) | (~has_immunity(sk2, sk3)))),
% 0.50/0.56 inference(rewrite,[status(thm)],[])).
% 0.50/0.56 tff(155,plain,
% 0.50/0.56 (((~![B: $i, A: $i, C: $i] : ((hazard_of_mortality(A, B) = hazard_of_mortality(A, C)) | (~has_immunity(A, C)) | (~has_immunity(A, B)) | (~organization(A)))) | ((hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3)) | (~has_immunity(sk2, sk3)) | (~has_immunity(sk2, sk4)) | (~organization(sk2)))) <=> ((~![B: $i, A: $i, C: $i] : ((hazard_of_mortality(A, B) = hazard_of_mortality(A, C)) | (~has_immunity(A, C)) | (~has_immunity(A, B)) | (~organization(A)))) | ((hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3)) | (~organization(sk2)) | (~has_immunity(sk2, sk4)) | (~has_immunity(sk2, sk3))))),
% 0.50/0.56 inference(monotonicity,[status(thm)],[154])).
% 0.50/0.56 tff(156,plain,
% 0.50/0.56 (((~![B: $i, A: $i, C: $i] : ((hazard_of_mortality(A, B) = hazard_of_mortality(A, C)) | (~has_immunity(A, C)) | (~has_immunity(A, B)) | (~organization(A)))) | ((hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3)) | (~has_immunity(sk2, sk3)) | (~has_immunity(sk2, sk4)) | (~organization(sk2)))) <=> ((~![B: $i, A: $i, C: $i] : ((hazard_of_mortality(A, B) = hazard_of_mortality(A, C)) | (~has_immunity(A, C)) | (~has_immunity(A, B)) | (~organization(A)))) | (hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3)) | (~organization(sk2)) | (~has_immunity(sk2, sk4)) | (~has_immunity(sk2, sk3)))),
% 0.50/0.56 inference(transitivity,[status(thm)],[155, 153])).
% 0.50/0.56 tff(157,plain,
% 0.50/0.56 ((~![B: $i, A: $i, C: $i] : ((hazard_of_mortality(A, B) = hazard_of_mortality(A, C)) | (~has_immunity(A, C)) | (~has_immunity(A, B)) | (~organization(A)))) | ((hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3)) | (~has_immunity(sk2, sk3)) | (~has_immunity(sk2, sk4)) | (~organization(sk2)))),
% 0.50/0.56 inference(quant_inst,[status(thm)],[])).
% 0.50/0.56 tff(158,plain,
% 0.50/0.56 ((~![B: $i, A: $i, C: $i] : ((hazard_of_mortality(A, B) = hazard_of_mortality(A, C)) | (~has_immunity(A, C)) | (~has_immunity(A, B)) | (~organization(A)))) | (hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3)) | (~organization(sk2)) | (~has_immunity(sk2, sk4)) | (~has_immunity(sk2, sk3))),
% 0.50/0.56 inference(modus_ponens,[status(thm)],[157, 156])).
% 0.50/0.56 tff(159,plain,
% 0.50/0.56 ($false),
% 0.50/0.56 inference(unit_resolution,[status(thm)],[158, 152, 3, 142, 92, 141])).
% 0.50/0.56 tff(160,plain,(hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3)), inference(lemma,lemma(discharge,[]))).
% 0.50/0.56 tff(161,plain,
% 0.50/0.56 (((~greater(hazard_of_mortality(sk2, sk6), hazard_of_mortality(sk2, sk5))) | (~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, sk6), hazard_of_mortality(sk2, sk5))) | (~greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4))) | (~(hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3))))),
% 0.50/0.56 inference(rewrite,[status(thm)],[])).
% 0.50/0.56 tff(162,plain,
% 0.50/0.56 ((((~greater(hazard_of_mortality(sk2, sk6), hazard_of_mortality(sk2, sk5))) | (~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, sk6), hazard_of_mortality(sk2, sk5))) | (~greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4))) | (~(hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3))))),
% 0.50/0.56 inference(rewrite,[status(thm)],[])).
% 0.50/0.56 tff(163,plain,
% 0.50/0.56 (((~greater(hazard_of_mortality(sk2, sk6), hazard_of_mortality(sk2, sk5))) | (~greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4)))) <=> ((~greater(hazard_of_mortality(sk2, sk6), hazard_of_mortality(sk2, sk5))) | (~greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4))))),
% 0.50/0.56 inference(rewrite,[status(thm)],[])).
% 0.50/0.56 tff(164,plain,
% 0.50/0.56 ((((~greater(hazard_of_mortality(sk2, sk6), hazard_of_mortality(sk2, sk5))) | (~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, sk6), hazard_of_mortality(sk2, sk5))) | (~greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4)))) | (~(hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3))))),
% 0.50/0.56 inference(monotonicity,[status(thm)],[163])).
% 0.50/0.56 tff(165,plain,
% 0.50/0.56 ((((~greater(hazard_of_mortality(sk2, sk6), hazard_of_mortality(sk2, sk5))) | (~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, sk6), hazard_of_mortality(sk2, sk5))) | (~greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4))) | (~(hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3))))),
% 0.50/0.56 inference(transitivity,[status(thm)],[164, 162])).
% 0.50/0.56 tff(166,axiom,(((~greater(hazard_of_mortality(sk2, sk6), hazard_of_mortality(sk2, sk5))) | (~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','lemma_8_68')).
% 0.50/0.56 tff(167,plain,
% 0.50/0.56 ((~greater(hazard_of_mortality(sk2, sk6), hazard_of_mortality(sk2, sk5))) | (~greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4))) | (~(hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3)))),
% 0.50/0.56 inference(modus_ponens,[status(thm)],[166, 165])).
% 0.50/0.56 tff(168,plain,
% 0.50/0.56 ((~greater(hazard_of_mortality(sk2, sk6), hazard_of_mortality(sk2, sk5))) | (~greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4))) | (~(hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3)))),
% 0.50/0.56 inference(modus_ponens,[status(thm)],[167, 161])).
% 0.50/0.56 tff(169,plain,
% 0.50/0.56 ((~greater(hazard_of_mortality(sk2, sk6), hazard_of_mortality(sk2, sk5))) | (~greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4))) | (~(hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3)))),
% 0.50/0.56 inference(modus_ponens,[status(thm)],[168, 161])).
% 0.50/0.56 tff(170,plain,
% 0.50/0.56 ((~greater(hazard_of_mortality(sk2, sk6), hazard_of_mortality(sk2, sk5))) | (~greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4))) | (~(hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3)))),
% 0.50/0.56 inference(modus_ponens,[status(thm)],[169, 161])).
% 0.50/0.56 tff(171,plain,
% 0.50/0.56 ((~greater(hazard_of_mortality(sk2, sk6), hazard_of_mortality(sk2, sk5))) | (~greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4))) | (~(hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3)))),
% 0.50/0.56 inference(modus_ponens,[status(thm)],[170, 161])).
% 0.50/0.56 tff(172,plain,
% 0.50/0.56 ((~greater(hazard_of_mortality(sk2, sk6), hazard_of_mortality(sk2, sk5))) | (~greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4))) | (~(hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3)))),
% 0.50/0.56 inference(modus_ponens,[status(thm)],[171, 161])).
% 0.50/0.56 tff(173,plain,
% 0.50/0.56 ((~greater(hazard_of_mortality(sk2, sk6), hazard_of_mortality(sk2, sk5))) | (~greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4))) | (~(hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3)))),
% 0.50/0.56 inference(modus_ponens,[status(thm)],[172, 161])).
% 0.50/0.56 tff(174,plain,
% 0.50/0.56 ((~greater(hazard_of_mortality(sk2, sk6), hazard_of_mortality(sk2, sk5))) | (~greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4))) | (~(hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3)))),
% 0.50/0.56 inference(modus_ponens,[status(thm)],[173, 161])).
% 0.50/0.56 tff(175,plain,
% 0.50/0.56 ((~greater(hazard_of_mortality(sk2, sk6), hazard_of_mortality(sk2, sk5))) | (~greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4))) | (~(hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3)))),
% 0.50/0.56 inference(modus_ponens,[status(thm)],[174, 161])).
% 0.50/0.56 tff(176,plain,
% 0.50/0.56 ((~greater(hazard_of_mortality(sk2, sk6), hazard_of_mortality(sk2, sk5))) | (~greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4)))),
% 0.50/0.56 inference(unit_resolution,[status(thm)],[175, 160])).
% 0.50/0.56 tff(177,plain,
% 0.50/0.56 (~greater(hazard_of_mortality(sk2, sk6), hazard_of_mortality(sk2, sk5))),
% 0.50/0.56 inference(unit_resolution,[status(thm)],[176, 109])).
% 0.50/0.56 tff(178,plain,
% 0.50/0.56 (^[B: $i, A: $i, C: $i] : refl((has_immunity(A, C) | has_immunity(A, B) | (~organization(A)) | greater(hazard_of_mortality(A, B), hazard_of_mortality(A, C)) | (~greater(capability(A, C), capability(A, B)))) <=> (has_immunity(A, C) | has_immunity(A, B) | (~organization(A)) | greater(hazard_of_mortality(A, B), hazard_of_mortality(A, C)) | (~greater(capability(A, C), capability(A, B)))))),
% 0.50/0.56 inference(bind,[status(th)],[])).
% 0.50/0.56 tff(179,plain,
% 0.50/0.56 (![B: $i, A: $i, C: $i] : (has_immunity(A, C) | has_immunity(A, B) | (~organization(A)) | greater(hazard_of_mortality(A, B), hazard_of_mortality(A, C)) | (~greater(capability(A, C), capability(A, B)))) <=> ![B: $i, A: $i, C: $i] : (has_immunity(A, C) | has_immunity(A, B) | (~organization(A)) | greater(hazard_of_mortality(A, B), hazard_of_mortality(A, C)) | (~greater(capability(A, C), capability(A, B))))),
% 0.50/0.56 inference(quant_intro,[status(thm)],[178])).
% 0.50/0.56 tff(180,plain,
% 0.50/0.56 (![B: $i, A: $i, C: $i] : (has_immunity(A, C) | has_immunity(A, B) | (~organization(A)) | greater(hazard_of_mortality(A, B), hazard_of_mortality(A, C)) | (~greater(capability(A, C), capability(A, B)))) <=> ![B: $i, A: $i, C: $i] : (has_immunity(A, C) | has_immunity(A, B) | (~organization(A)) | greater(hazard_of_mortality(A, B), hazard_of_mortality(A, C)) | (~greater(capability(A, C), capability(A, B))))),
% 0.50/0.56 inference(rewrite,[status(thm)],[])).
% 0.50/0.56 tff(181,plain,
% 0.50/0.56 (^[B: $i, A: $i, C: $i] : trans(monotonicity(trans(monotonicity(rewrite((((~organization(A)) | has_immunity(A, B)) | has_immunity(A, C)) <=> (has_immunity(A, C) | has_immunity(A, B) | (~organization(A)))), (((((~organization(A)) | has_immunity(A, B)) | has_immunity(A, C)) | (~greater(capability(A, C), capability(A, B)))) <=> ((has_immunity(A, C) | has_immunity(A, B) | (~organization(A))) | (~greater(capability(A, C), capability(A, B)))))), rewrite(((has_immunity(A, C) | has_immunity(A, B) | (~organization(A))) | (~greater(capability(A, C), capability(A, B)))) <=> (has_immunity(A, C) | has_immunity(A, B) | (~organization(A)) | (~greater(capability(A, C), capability(A, B))))), (((((~organization(A)) | has_immunity(A, B)) | has_immunity(A, C)) | (~greater(capability(A, C), capability(A, B)))) <=> (has_immunity(A, C) | has_immunity(A, B) | (~organization(A)) | (~greater(capability(A, C), capability(A, B)))))), ((((((~organization(A)) | has_immunity(A, B)) | has_immunity(A, C)) | (~greater(capability(A, C), capability(A, B)))) | greater(hazard_of_mortality(A, B), hazard_of_mortality(A, C))) <=> ((has_immunity(A, C) | has_immunity(A, B) | (~organization(A)) | (~greater(capability(A, C), capability(A, B)))) | greater(hazard_of_mortality(A, B), hazard_of_mortality(A, C))))), rewrite(((has_immunity(A, C) | has_immunity(A, B) | (~organization(A)) | (~greater(capability(A, C), capability(A, B)))) | greater(hazard_of_mortality(A, B), hazard_of_mortality(A, C))) <=> (has_immunity(A, C) | has_immunity(A, B) | (~organization(A)) | greater(hazard_of_mortality(A, B), hazard_of_mortality(A, C)) | (~greater(capability(A, C), capability(A, B))))), ((((((~organization(A)) | has_immunity(A, B)) | has_immunity(A, C)) | (~greater(capability(A, C), capability(A, B)))) | greater(hazard_of_mortality(A, B), hazard_of_mortality(A, C))) <=> (has_immunity(A, C) | has_immunity(A, B) | (~organization(A)) | greater(hazard_of_mortality(A, B), hazard_of_mortality(A, C)) | (~greater(capability(A, C), capability(A, B))))))),
% 0.53/0.57 inference(bind,[status(th)],[])).
% 0.53/0.57 tff(182,plain,
% 0.53/0.57 (![B: $i, A: $i, C: $i] : (((((~organization(A)) | has_immunity(A, B)) | has_immunity(A, C)) | (~greater(capability(A, C), capability(A, B)))) | greater(hazard_of_mortality(A, B), hazard_of_mortality(A, C))) <=> ![B: $i, A: $i, C: $i] : (has_immunity(A, C) | has_immunity(A, B) | (~organization(A)) | greater(hazard_of_mortality(A, B), hazard_of_mortality(A, C)) | (~greater(capability(A, C), capability(A, B))))),
% 0.53/0.57 inference(quant_intro,[status(thm)],[181])).
% 0.53/0.57 tff(183,axiom,(![B: $i, A: $i, C: $i] : (((((~organization(A)) | has_immunity(A, B)) | has_immunity(A, C)) | (~greater(capability(A, C), capability(A, B)))) | greater(hazard_of_mortality(A, B), hazard_of_mortality(A, C)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','assumption_16_58')).
% 0.53/0.57 tff(184,plain,
% 0.53/0.57 (![B: $i, A: $i, C: $i] : (has_immunity(A, C) | has_immunity(A, B) | (~organization(A)) | greater(hazard_of_mortality(A, B), hazard_of_mortality(A, C)) | (~greater(capability(A, C), capability(A, B))))),
% 0.53/0.57 inference(modus_ponens,[status(thm)],[183, 182])).
% 0.53/0.57 tff(185,plain,
% 0.53/0.57 (![B: $i, A: $i, C: $i] : (has_immunity(A, C) | has_immunity(A, B) | (~organization(A)) | greater(hazard_of_mortality(A, B), hazard_of_mortality(A, C)) | (~greater(capability(A, C), capability(A, B))))),
% 0.53/0.57 inference(modus_ponens,[status(thm)],[184, 180])).
% 0.53/0.57 tff(186,plain,(
% 0.53/0.57 ![B: $i, A: $i, C: $i] : (has_immunity(A, C) | has_immunity(A, B) | (~organization(A)) | greater(hazard_of_mortality(A, B), hazard_of_mortality(A, C)) | (~greater(capability(A, C), capability(A, B))))),
% 0.53/0.57 inference(skolemize,[status(sab)],[185])).
% 0.53/0.57 tff(187,plain,
% 0.53/0.57 (![B: $i, A: $i, C: $i] : (has_immunity(A, C) | has_immunity(A, B) | (~organization(A)) | greater(hazard_of_mortality(A, B), hazard_of_mortality(A, C)) | (~greater(capability(A, C), capability(A, B))))),
% 0.53/0.57 inference(modus_ponens,[status(thm)],[186, 179])).
% 0.53/0.57 tff(188,plain,
% 0.53/0.57 (((~![B: $i, A: $i, C: $i] : (has_immunity(A, C) | has_immunity(A, B) | (~organization(A)) | greater(hazard_of_mortality(A, B), hazard_of_mortality(A, C)) | (~greater(capability(A, C), capability(A, B))))) | (greater(hazard_of_mortality(sk2, sk6), hazard_of_mortality(sk2, sk5)) | (~organization(sk2)) | has_immunity(sk2, sk5) | has_immunity(sk2, sk6) | (~greater(capability(sk2, sk5), capability(sk2, sk6))))) <=> ((~![B: $i, A: $i, C: $i] : (has_immunity(A, C) | has_immunity(A, B) | (~organization(A)) | greater(hazard_of_mortality(A, B), hazard_of_mortality(A, C)) | (~greater(capability(A, C), capability(A, B))))) | greater(hazard_of_mortality(sk2, sk6), hazard_of_mortality(sk2, sk5)) | (~organization(sk2)) | has_immunity(sk2, sk5) | has_immunity(sk2, sk6) | (~greater(capability(sk2, sk5), capability(sk2, sk6))))),
% 0.53/0.57 inference(rewrite,[status(thm)],[])).
% 0.53/0.57 tff(189,plain,
% 0.53/0.57 ((has_immunity(sk2, sk5) | has_immunity(sk2, sk6) | (~organization(sk2)) | greater(hazard_of_mortality(sk2, sk6), hazard_of_mortality(sk2, sk5)) | (~greater(capability(sk2, sk5), capability(sk2, sk6)))) <=> (greater(hazard_of_mortality(sk2, sk6), hazard_of_mortality(sk2, sk5)) | (~organization(sk2)) | has_immunity(sk2, sk5) | has_immunity(sk2, sk6) | (~greater(capability(sk2, sk5), capability(sk2, sk6))))),
% 0.53/0.57 inference(rewrite,[status(thm)],[])).
% 0.53/0.57 tff(190,plain,
% 0.53/0.57 (((~![B: $i, A: $i, C: $i] : (has_immunity(A, C) | has_immunity(A, B) | (~organization(A)) | greater(hazard_of_mortality(A, B), hazard_of_mortality(A, C)) | (~greater(capability(A, C), capability(A, B))))) | (has_immunity(sk2, sk5) | has_immunity(sk2, sk6) | (~organization(sk2)) | greater(hazard_of_mortality(sk2, sk6), hazard_of_mortality(sk2, sk5)) | (~greater(capability(sk2, sk5), capability(sk2, sk6))))) <=> ((~![B: $i, A: $i, C: $i] : (has_immunity(A, C) | has_immunity(A, B) | (~organization(A)) | greater(hazard_of_mortality(A, B), hazard_of_mortality(A, C)) | (~greater(capability(A, C), capability(A, B))))) | (greater(hazard_of_mortality(sk2, sk6), hazard_of_mortality(sk2, sk5)) | (~organization(sk2)) | has_immunity(sk2, sk5) | has_immunity(sk2, sk6) | (~greater(capability(sk2, sk5), capability(sk2, sk6)))))),
% 0.53/0.57 inference(monotonicity,[status(thm)],[189])).
% 0.53/0.57 tff(191,plain,
% 0.53/0.57 (((~![B: $i, A: $i, C: $i] : (has_immunity(A, C) | has_immunity(A, B) | (~organization(A)) | greater(hazard_of_mortality(A, B), hazard_of_mortality(A, C)) | (~greater(capability(A, C), capability(A, B))))) | (has_immunity(sk2, sk5) | has_immunity(sk2, sk6) | (~organization(sk2)) | greater(hazard_of_mortality(sk2, sk6), hazard_of_mortality(sk2, sk5)) | (~greater(capability(sk2, sk5), capability(sk2, sk6))))) <=> ((~![B: $i, A: $i, C: $i] : (has_immunity(A, C) | has_immunity(A, B) | (~organization(A)) | greater(hazard_of_mortality(A, B), hazard_of_mortality(A, C)) | (~greater(capability(A, C), capability(A, B))))) | greater(hazard_of_mortality(sk2, sk6), hazard_of_mortality(sk2, sk5)) | (~organization(sk2)) | has_immunity(sk2, sk5) | has_immunity(sk2, sk6) | (~greater(capability(sk2, sk5), capability(sk2, sk6))))),
% 0.53/0.57 inference(transitivity,[status(thm)],[190, 188])).
% 0.53/0.57 tff(192,plain,
% 0.53/0.57 ((~![B: $i, A: $i, C: $i] : (has_immunity(A, C) | has_immunity(A, B) | (~organization(A)) | greater(hazard_of_mortality(A, B), hazard_of_mortality(A, C)) | (~greater(capability(A, C), capability(A, B))))) | (has_immunity(sk2, sk5) | has_immunity(sk2, sk6) | (~organization(sk2)) | greater(hazard_of_mortality(sk2, sk6), hazard_of_mortality(sk2, sk5)) | (~greater(capability(sk2, sk5), capability(sk2, sk6))))),
% 0.53/0.57 inference(quant_inst,[status(thm)],[])).
% 0.53/0.57 tff(193,plain,
% 0.53/0.57 ((~![B: $i, A: $i, C: $i] : (has_immunity(A, C) | has_immunity(A, B) | (~organization(A)) | greater(hazard_of_mortality(A, B), hazard_of_mortality(A, C)) | (~greater(capability(A, C), capability(A, B))))) | greater(hazard_of_mortality(sk2, sk6), hazard_of_mortality(sk2, sk5)) | (~organization(sk2)) | has_immunity(sk2, sk5) | has_immunity(sk2, sk6) | (~greater(capability(sk2, sk5), capability(sk2, sk6)))),
% 0.53/0.57 inference(modus_ponens,[status(thm)],[192, 191])).
% 0.53/0.57 tff(194,plain,
% 0.53/0.57 (~greater(capability(sk2, sk5), capability(sk2, sk6))),
% 0.53/0.57 inference(unit_resolution,[status(thm)],[193, 187, 3, 177, 72, 65])).
% 0.53/0.57 tff(195,plain,
% 0.53/0.57 (^[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)))))),
% 0.53/0.57 inference(bind,[status(th)],[])).
% 0.53/0.57 tff(196,plain,
% 0.53/0.57 (![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))))),
% 0.53/0.57 inference(quant_intro,[status(thm)],[195])).
% 0.53/0.57 tff(197,plain,
% 0.53/0.57 (^[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))))))),
% 0.53/0.57 inference(bind,[status(th)],[])).
% 0.53/0.57 tff(198,plain,
% 0.53/0.57 (![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = zero))) <=> ![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = age(sk2, sk3))))),
% 0.53/0.57 inference(quant_intro,[status(thm)],[197])).
% 0.53/0.57 tff(199,plain,
% 0.53/0.57 (![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = zero))) <=> ![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = zero)))),
% 0.53/0.57 inference(rewrite,[status(thm)],[])).
% 0.53/0.57 tff(200,plain,
% 0.53/0.57 (^[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)))))),
% 0.53/0.57 inference(bind,[status(th)],[])).
% 0.53/0.57 tff(201,plain,
% 0.53/0.57 (![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)))),
% 0.53/0.57 inference(quant_intro,[status(thm)],[200])).
% 0.53/0.57 tff(202,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_56')).
% 0.53/0.57 tff(203,plain,
% 0.53/0.57 (![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = zero)))),
% 0.53/0.57 inference(modus_ponens,[status(thm)],[202, 201])).
% 0.53/0.57 tff(204,plain,
% 0.53/0.57 (![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = zero)))),
% 0.53/0.57 inference(modus_ponens,[status(thm)],[203, 199])).
% 0.53/0.57 tff(205,plain,
% 0.53/0.57 (![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = age(sk2, sk3))))),
% 0.53/0.57 inference(modus_ponens,[status(thm)],[204, 198])).
% 0.53/0.57 tff(206,plain,(
% 0.53/0.57 ![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = age(sk2, sk3))))),
% 0.53/0.57 inference(skolemize,[status(sab)],[205])).
% 0.53/0.57 tff(207,plain,
% 0.53/0.57 (![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | (~organization(A)) | (~greater(age(A, C), sigma)) | (~(age(A, B) = age(sk2, sk3))))),
% 0.53/0.57 inference(modus_ponens,[status(thm)],[206, 196])).
% 0.53/0.57 tff(208,plain,
% 0.53/0.57 (((~![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, sk6), sigma)) | (~organization(sk2)) | dissimilar(sk2, sk3, sk6))) <=> ((~![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, sk6), sigma)) | (~organization(sk2)) | dissimilar(sk2, sk3, sk6))),
% 0.53/0.57 inference(rewrite,[status(thm)],[])).
% 0.53/0.57 tff(209,plain,
% 0.53/0.57 ((dissimilar(sk2, sk3, sk6) | (~organization(sk2)) | (~greater(age(sk2, sk6), sigma)) | $false) <=> ((~greater(age(sk2, sk6), sigma)) | (~organization(sk2)) | dissimilar(sk2, sk3, sk6))),
% 0.53/0.57 inference(rewrite,[status(thm)],[])).
% 0.53/0.57 tff(210,plain,
% 0.53/0.57 ((dissimilar(sk2, sk3, sk6) | (~organization(sk2)) | (~greater(age(sk2, sk6), sigma)) | (~(age(sk2, sk3) = age(sk2, sk3)))) <=> (dissimilar(sk2, sk3, sk6) | (~organization(sk2)) | (~greater(age(sk2, sk6), sigma)) | $false)),
% 0.53/0.57 inference(monotonicity,[status(thm)],[22])).
% 0.53/0.57 tff(211,plain,
% 0.53/0.57 ((dissimilar(sk2, sk3, sk6) | (~organization(sk2)) | (~greater(age(sk2, sk6), sigma)) | (~(age(sk2, sk3) = age(sk2, sk3)))) <=> ((~greater(age(sk2, sk6), sigma)) | (~organization(sk2)) | dissimilar(sk2, sk3, sk6))),
% 0.53/0.57 inference(transitivity,[status(thm)],[210, 209])).
% 0.53/0.57 tff(212,plain,
% 0.53/0.57 (((~![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, sk6) | (~organization(sk2)) | (~greater(age(sk2, sk6), 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, sk6), sigma)) | (~organization(sk2)) | dissimilar(sk2, sk3, sk6)))),
% 0.53/0.57 inference(monotonicity,[status(thm)],[211])).
% 0.53/0.57 tff(213,plain,
% 0.53/0.57 (((~![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, sk6) | (~organization(sk2)) | (~greater(age(sk2, sk6), 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, sk6), sigma)) | (~organization(sk2)) | dissimilar(sk2, sk3, sk6))),
% 0.53/0.57 inference(transitivity,[status(thm)],[212, 208])).
% 0.53/0.57 tff(214,plain,
% 0.53/0.57 ((~![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, sk6) | (~organization(sk2)) | (~greater(age(sk2, sk6), sigma)) | (~(age(sk2, sk3) = age(sk2, sk3))))),
% 0.53/0.57 inference(quant_inst,[status(thm)],[])).
% 0.53/0.57 tff(215,plain,
% 0.53/0.57 ((~![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, sk6), sigma)) | (~organization(sk2)) | dissimilar(sk2, sk3, sk6)),
% 0.53/0.57 inference(modus_ponens,[status(thm)],[214, 213])).
% 0.53/0.57 tff(216,plain,
% 0.53/0.57 (dissimilar(sk2, sk3, sk6)),
% 0.53/0.57 inference(unit_resolution,[status(thm)],[215, 207, 3, 35])).
% 0.53/0.57 tff(217,plain,
% 0.53/0.57 (^[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))))),
% 0.53/0.57 inference(bind,[status(th)],[])).
% 0.53/0.57 tff(218,plain,
% 0.53/0.57 (![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)))),
% 0.53/0.57 inference(quant_intro,[status(thm)],[217])).
% 0.53/0.57 tff(219,plain,
% 0.53/0.57 (![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)))),
% 0.53/0.57 inference(rewrite,[status(thm)],[])).
% 0.53/0.57 tff(220,plain,
% 0.53/0.57 (^[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)))))),
% 0.53/0.57 inference(bind,[status(th)],[])).
% 0.53/0.57 tff(221,plain,
% 0.53/0.57 (![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)))),
% 0.53/0.57 inference(quant_intro,[status(thm)],[220])).
% 0.53/0.57 tff(222,axiom,(![B: $i, A: $i, C: $i] : (((~dissimilar(A, B, C)) | (~is_aligned(A, B))) | (~is_aligned(A, C)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','definition_2_49')).
% 0.53/0.57 tff(223,plain,
% 0.53/0.57 (![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~is_aligned(A, C)) | (~is_aligned(A, B)))),
% 0.53/0.57 inference(modus_ponens,[status(thm)],[222, 221])).
% 0.53/0.57 tff(224,plain,
% 0.53/0.57 (![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~is_aligned(A, C)) | (~is_aligned(A, B)))),
% 0.53/0.57 inference(modus_ponens,[status(thm)],[223, 219])).
% 0.53/0.57 tff(225,plain,(
% 0.53/0.57 ![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~is_aligned(A, C)) | (~is_aligned(A, B)))),
% 0.53/0.57 inference(skolemize,[status(sab)],[224])).
% 0.53/0.57 tff(226,plain,
% 0.53/0.57 (![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~is_aligned(A, C)) | (~is_aligned(A, B)))),
% 0.53/0.57 inference(modus_ponens,[status(thm)],[225, 218])).
% 0.53/0.57 tff(227,plain,
% 0.53/0.57 (((~![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~is_aligned(A, C)) | (~is_aligned(A, B)))) | ((~is_aligned(sk2, sk3)) | (~dissimilar(sk2, sk3, sk6)) | (~is_aligned(sk2, sk6)))) <=> ((~![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~is_aligned(A, C)) | (~is_aligned(A, B)))) | (~is_aligned(sk2, sk3)) | (~dissimilar(sk2, sk3, sk6)) | (~is_aligned(sk2, sk6)))),
% 0.53/0.57 inference(rewrite,[status(thm)],[])).
% 0.53/0.57 tff(228,plain,
% 0.53/0.57 (((~dissimilar(sk2, sk3, sk6)) | (~is_aligned(sk2, sk6)) | (~is_aligned(sk2, sk3))) <=> ((~is_aligned(sk2, sk3)) | (~dissimilar(sk2, sk3, sk6)) | (~is_aligned(sk2, sk6)))),
% 0.53/0.57 inference(rewrite,[status(thm)],[])).
% 0.53/0.57 tff(229,plain,
% 0.53/0.57 (((~![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~is_aligned(A, C)) | (~is_aligned(A, B)))) | ((~dissimilar(sk2, sk3, sk6)) | (~is_aligned(sk2, sk6)) | (~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)) | (~dissimilar(sk2, sk3, sk6)) | (~is_aligned(sk2, sk6))))),
% 0.53/0.57 inference(monotonicity,[status(thm)],[228])).
% 0.53/0.57 tff(230,plain,
% 0.53/0.57 (((~![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~is_aligned(A, C)) | (~is_aligned(A, B)))) | ((~dissimilar(sk2, sk3, sk6)) | (~is_aligned(sk2, sk6)) | (~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)) | (~dissimilar(sk2, sk3, sk6)) | (~is_aligned(sk2, sk6)))),
% 0.53/0.57 inference(transitivity,[status(thm)],[229, 227])).
% 0.53/0.57 tff(231,plain,
% 0.53/0.57 ((~![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~is_aligned(A, C)) | (~is_aligned(A, B)))) | ((~dissimilar(sk2, sk3, sk6)) | (~is_aligned(sk2, sk6)) | (~is_aligned(sk2, sk3)))),
% 0.53/0.57 inference(quant_inst,[status(thm)],[])).
% 0.53/0.57 tff(232,plain,
% 0.53/0.57 ((~![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~is_aligned(A, C)) | (~is_aligned(A, B)))) | (~is_aligned(sk2, sk3)) | (~dissimilar(sk2, sk3, sk6)) | (~is_aligned(sk2, sk6))),
% 0.53/0.57 inference(modus_ponens,[status(thm)],[231, 230])).
% 0.53/0.57 tff(233,plain,
% 0.53/0.57 (~is_aligned(sk2, sk6)),
% 0.53/0.57 inference(unit_resolution,[status(thm)],[232, 226, 29, 216])).
% 0.53/0.57 tff(234,plain,
% 0.53/0.57 (^[B: $i, A: $i, C: $i] : refl((is_aligned(A, C) | (~organization(A)) | (~is_aligned(A, B)) | greater(capability(A, B), capability(A, C))) <=> (is_aligned(A, C) | (~organization(A)) | (~is_aligned(A, B)) | greater(capability(A, B), capability(A, C))))),
% 0.53/0.57 inference(bind,[status(th)],[])).
% 0.53/0.57 tff(235,plain,
% 0.53/0.57 (![B: $i, A: $i, C: $i] : (is_aligned(A, C) | (~organization(A)) | (~is_aligned(A, B)) | greater(capability(A, B), capability(A, C))) <=> ![B: $i, A: $i, C: $i] : (is_aligned(A, C) | (~organization(A)) | (~is_aligned(A, B)) | greater(capability(A, B), capability(A, C)))),
% 0.53/0.57 inference(quant_intro,[status(thm)],[234])).
% 0.53/0.57 tff(236,plain,
% 0.53/0.57 (![B: $i, A: $i, C: $i] : (is_aligned(A, C) | (~organization(A)) | (~is_aligned(A, B)) | greater(capability(A, B), capability(A, C))) <=> ![B: $i, A: $i, C: $i] : (is_aligned(A, C) | (~organization(A)) | (~is_aligned(A, B)) | greater(capability(A, B), capability(A, C)))),
% 0.53/0.57 inference(rewrite,[status(thm)],[])).
% 0.53/0.57 tff(237,plain,
% 0.53/0.57 (^[B: $i, A: $i, C: $i] : trans(monotonicity(rewrite((((~organization(A)) | (~is_aligned(A, B))) | is_aligned(A, C)) <=> (is_aligned(A, C) | (~organization(A)) | (~is_aligned(A, B)))), (((((~organization(A)) | (~is_aligned(A, B))) | is_aligned(A, C)) | greater(capability(A, B), capability(A, C))) <=> ((is_aligned(A, C) | (~organization(A)) | (~is_aligned(A, B))) | greater(capability(A, B), capability(A, C))))), rewrite(((is_aligned(A, C) | (~organization(A)) | (~is_aligned(A, B))) | greater(capability(A, B), capability(A, C))) <=> (is_aligned(A, C) | (~organization(A)) | (~is_aligned(A, B)) | greater(capability(A, B), capability(A, C)))), (((((~organization(A)) | (~is_aligned(A, B))) | is_aligned(A, C)) | greater(capability(A, B), capability(A, C))) <=> (is_aligned(A, C) | (~organization(A)) | (~is_aligned(A, B)) | greater(capability(A, B), capability(A, C)))))),
% 0.53/0.57 inference(bind,[status(th)],[])).
% 0.53/0.57 tff(238,plain,
% 0.53/0.57 (![B: $i, A: $i, C: $i] : ((((~organization(A)) | (~is_aligned(A, B))) | is_aligned(A, C)) | greater(capability(A, B), capability(A, C))) <=> ![B: $i, A: $i, C: $i] : (is_aligned(A, C) | (~organization(A)) | (~is_aligned(A, B)) | greater(capability(A, B), capability(A, C)))),
% 0.53/0.57 inference(quant_intro,[status(thm)],[237])).
% 0.53/0.57 tff(239,axiom,(![B: $i, A: $i, C: $i] : ((((~organization(A)) | (~is_aligned(A, B))) | is_aligned(A, C)) | greater(capability(A, B), capability(A, C)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','assumption_14_55')).
% 0.53/0.57 tff(240,plain,
% 0.53/0.57 (![B: $i, A: $i, C: $i] : (is_aligned(A, C) | (~organization(A)) | (~is_aligned(A, B)) | greater(capability(A, B), capability(A, C)))),
% 0.53/0.57 inference(modus_ponens,[status(thm)],[239, 238])).
% 0.53/0.57 tff(241,plain,
% 0.53/0.57 (![B: $i, A: $i, C: $i] : (is_aligned(A, C) | (~organization(A)) | (~is_aligned(A, B)) | greater(capability(A, B), capability(A, C)))),
% 0.53/0.57 inference(modus_ponens,[status(thm)],[240, 236])).
% 0.53/0.57 tff(242,plain,(
% 0.53/0.57 ![B: $i, A: $i, C: $i] : (is_aligned(A, C) | (~organization(A)) | (~is_aligned(A, B)) | greater(capability(A, B), capability(A, C)))),
% 0.53/0.57 inference(skolemize,[status(sab)],[241])).
% 0.53/0.57 tff(243,plain,
% 0.53/0.57 (![B: $i, A: $i, C: $i] : (is_aligned(A, C) | (~organization(A)) | (~is_aligned(A, B)) | greater(capability(A, B), capability(A, C)))),
% 0.53/0.57 inference(modus_ponens,[status(thm)],[242, 235])).
% 0.53/0.57 tff(244,plain,
% 0.53/0.57 (((~![B: $i, A: $i, C: $i] : (is_aligned(A, C) | (~organization(A)) | (~is_aligned(A, B)) | greater(capability(A, B), capability(A, C)))) | ((~organization(sk2)) | is_aligned(sk2, sk6) | greater(capability(sk2, sk5), capability(sk2, sk6)) | (~is_aligned(sk2, sk5)))) <=> ((~![B: $i, A: $i, C: $i] : (is_aligned(A, C) | (~organization(A)) | (~is_aligned(A, B)) | greater(capability(A, B), capability(A, C)))) | (~organization(sk2)) | is_aligned(sk2, sk6) | greater(capability(sk2, sk5), capability(sk2, sk6)) | (~is_aligned(sk2, sk5)))),
% 0.53/0.57 inference(rewrite,[status(thm)],[])).
% 0.53/0.57 tff(245,plain,
% 0.53/0.57 ((is_aligned(sk2, sk6) | (~organization(sk2)) | (~is_aligned(sk2, sk5)) | greater(capability(sk2, sk5), capability(sk2, sk6))) <=> ((~organization(sk2)) | is_aligned(sk2, sk6) | greater(capability(sk2, sk5), capability(sk2, sk6)) | (~is_aligned(sk2, sk5)))),
% 0.53/0.57 inference(rewrite,[status(thm)],[])).
% 0.53/0.57 tff(246,plain,
% 0.53/0.57 (((~![B: $i, A: $i, C: $i] : (is_aligned(A, C) | (~organization(A)) | (~is_aligned(A, B)) | greater(capability(A, B), capability(A, C)))) | (is_aligned(sk2, sk6) | (~organization(sk2)) | (~is_aligned(sk2, sk5)) | greater(capability(sk2, sk5), capability(sk2, sk6)))) <=> ((~![B: $i, A: $i, C: $i] : (is_aligned(A, C) | (~organization(A)) | (~is_aligned(A, B)) | greater(capability(A, B), capability(A, C)))) | ((~organization(sk2)) | is_aligned(sk2, sk6) | greater(capability(sk2, sk5), capability(sk2, sk6)) | (~is_aligned(sk2, sk5))))),
% 0.53/0.57 inference(monotonicity,[status(thm)],[245])).
% 0.53/0.57 tff(247,plain,
% 0.53/0.57 (((~![B: $i, A: $i, C: $i] : (is_aligned(A, C) | (~organization(A)) | (~is_aligned(A, B)) | greater(capability(A, B), capability(A, C)))) | (is_aligned(sk2, sk6) | (~organization(sk2)) | (~is_aligned(sk2, sk5)) | greater(capability(sk2, sk5), capability(sk2, sk6)))) <=> ((~![B: $i, A: $i, C: $i] : (is_aligned(A, C) | (~organization(A)) | (~is_aligned(A, B)) | greater(capability(A, B), capability(A, C)))) | (~organization(sk2)) | is_aligned(sk2, sk6) | greater(capability(sk2, sk5), capability(sk2, sk6)) | (~is_aligned(sk2, sk5)))),
% 0.53/0.57 inference(transitivity,[status(thm)],[246, 244])).
% 0.53/0.57 tff(248,plain,
% 0.53/0.57 ((~![B: $i, A: $i, C: $i] : (is_aligned(A, C) | (~organization(A)) | (~is_aligned(A, B)) | greater(capability(A, B), capability(A, C)))) | (is_aligned(sk2, sk6) | (~organization(sk2)) | (~is_aligned(sk2, sk5)) | greater(capability(sk2, sk5), capability(sk2, sk6)))),
% 0.53/0.58 inference(quant_inst,[status(thm)],[])).
% 0.53/0.58 tff(249,plain,
% 0.53/0.58 ((~![B: $i, A: $i, C: $i] : (is_aligned(A, C) | (~organization(A)) | (~is_aligned(A, B)) | greater(capability(A, B), capability(A, C)))) | (~organization(sk2)) | is_aligned(sk2, sk6) | greater(capability(sk2, sk5), capability(sk2, sk6)) | (~is_aligned(sk2, sk5))),
% 0.53/0.58 inference(modus_ponens,[status(thm)],[248, 247])).
% 0.53/0.58 tff(250,plain,
% 0.53/0.58 (~is_aligned(sk2, sk5)),
% 0.53/0.58 inference(unit_resolution,[status(thm)],[249, 243, 3, 233, 194])).
% 0.53/0.58 tff(251,plain,
% 0.53/0.58 (^[B: $i, A: $i, C: $i] : refl((dissimilar(A, B, C) | is_aligned(A, C) | (~organization(A)) | (~is_aligned(A, B))) <=> (dissimilar(A, B, C) | is_aligned(A, C) | (~organization(A)) | (~is_aligned(A, B))))),
% 0.53/0.58 inference(bind,[status(th)],[])).
% 0.53/0.58 tff(252,plain,
% 0.53/0.58 (![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | is_aligned(A, C) | (~organization(A)) | (~is_aligned(A, B))) <=> ![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | is_aligned(A, C) | (~organization(A)) | (~is_aligned(A, B)))),
% 0.53/0.58 inference(quant_intro,[status(thm)],[251])).
% 0.53/0.58 tff(253,plain,
% 0.53/0.58 (![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | is_aligned(A, C) | (~organization(A)) | (~is_aligned(A, B))) <=> ![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | is_aligned(A, C) | (~organization(A)) | (~is_aligned(A, B)))),
% 0.53/0.58 inference(rewrite,[status(thm)],[])).
% 0.53/0.58 tff(254,plain,
% 0.53/0.58 (^[B: $i, A: $i, C: $i] : trans(monotonicity(rewrite((((~organization(A)) | (~is_aligned(A, B))) | is_aligned(A, C)) <=> (is_aligned(A, C) | (~organization(A)) | (~is_aligned(A, B)))), (((((~organization(A)) | (~is_aligned(A, B))) | is_aligned(A, C)) | dissimilar(A, B, C)) <=> ((is_aligned(A, C) | (~organization(A)) | (~is_aligned(A, B))) | dissimilar(A, B, C)))), rewrite(((is_aligned(A, C) | (~organization(A)) | (~is_aligned(A, B))) | dissimilar(A, B, C)) <=> (dissimilar(A, B, C) | is_aligned(A, C) | (~organization(A)) | (~is_aligned(A, B)))), (((((~organization(A)) | (~is_aligned(A, B))) | is_aligned(A, C)) | dissimilar(A, B, C)) <=> (dissimilar(A, B, C) | is_aligned(A, C) | (~organization(A)) | (~is_aligned(A, B)))))),
% 0.53/0.58 inference(bind,[status(th)],[])).
% 0.53/0.58 tff(255,plain,
% 0.53/0.58 (![B: $i, A: $i, C: $i] : ((((~organization(A)) | (~is_aligned(A, B))) | is_aligned(A, C)) | dissimilar(A, B, C)) <=> ![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | is_aligned(A, C) | (~organization(A)) | (~is_aligned(A, B)))),
% 0.53/0.58 inference(quant_intro,[status(thm)],[254])).
% 0.53/0.58 tff(256,axiom,(![B: $i, A: $i, C: $i] : ((((~organization(A)) | (~is_aligned(A, B))) | is_aligned(A, C)) | dissimilar(A, B, C))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','definition_2_51')).
% 0.53/0.58 tff(257,plain,
% 0.53/0.58 (![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | is_aligned(A, C) | (~organization(A)) | (~is_aligned(A, B)))),
% 0.53/0.58 inference(modus_ponens,[status(thm)],[256, 255])).
% 0.53/0.58 tff(258,plain,
% 0.53/0.58 (![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | is_aligned(A, C) | (~organization(A)) | (~is_aligned(A, B)))),
% 0.53/0.58 inference(modus_ponens,[status(thm)],[257, 253])).
% 0.53/0.58 tff(259,plain,(
% 0.53/0.58 ![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | is_aligned(A, C) | (~organization(A)) | (~is_aligned(A, B)))),
% 0.53/0.58 inference(skolemize,[status(sab)],[258])).
% 0.53/0.58 tff(260,plain,
% 0.53/0.58 (![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | is_aligned(A, C) | (~organization(A)) | (~is_aligned(A, B)))),
% 0.53/0.58 inference(modus_ponens,[status(thm)],[259, 252])).
% 0.53/0.58 tff(261,plain,
% 0.53/0.58 (((~![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | is_aligned(A, C) | (~organization(A)) | (~is_aligned(A, B)))) | ((~organization(sk2)) | is_aligned(sk2, sk5) | (~is_aligned(sk2, sk3)) | dissimilar(sk2, sk3, sk5))) <=> ((~![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | is_aligned(A, C) | (~organization(A)) | (~is_aligned(A, B)))) | (~organization(sk2)) | is_aligned(sk2, sk5) | (~is_aligned(sk2, sk3)) | dissimilar(sk2, sk3, sk5))),
% 0.53/0.58 inference(rewrite,[status(thm)],[])).
% 0.53/0.58 tff(262,plain,
% 0.53/0.58 ((dissimilar(sk2, sk3, sk5) | is_aligned(sk2, sk5) | (~organization(sk2)) | (~is_aligned(sk2, sk3))) <=> ((~organization(sk2)) | is_aligned(sk2, sk5) | (~is_aligned(sk2, sk3)) | dissimilar(sk2, sk3, sk5))),
% 0.53/0.58 inference(rewrite,[status(thm)],[])).
% 0.53/0.58 tff(263,plain,
% 0.53/0.58 (((~![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | is_aligned(A, C) | (~organization(A)) | (~is_aligned(A, B)))) | (dissimilar(sk2, sk3, sk5) | is_aligned(sk2, sk5) | (~organization(sk2)) | (~is_aligned(sk2, sk3)))) <=> ((~![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | is_aligned(A, C) | (~organization(A)) | (~is_aligned(A, B)))) | ((~organization(sk2)) | is_aligned(sk2, sk5) | (~is_aligned(sk2, sk3)) | dissimilar(sk2, sk3, sk5)))),
% 0.53/0.58 inference(monotonicity,[status(thm)],[262])).
% 0.53/0.58 tff(264,plain,
% 0.53/0.58 (((~![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | is_aligned(A, C) | (~organization(A)) | (~is_aligned(A, B)))) | (dissimilar(sk2, sk3, sk5) | is_aligned(sk2, sk5) | (~organization(sk2)) | (~is_aligned(sk2, sk3)))) <=> ((~![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | is_aligned(A, C) | (~organization(A)) | (~is_aligned(A, B)))) | (~organization(sk2)) | is_aligned(sk2, sk5) | (~is_aligned(sk2, sk3)) | dissimilar(sk2, sk3, sk5))),
% 0.53/0.58 inference(transitivity,[status(thm)],[263, 261])).
% 0.53/0.58 tff(265,plain,
% 0.53/0.58 ((~![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | is_aligned(A, C) | (~organization(A)) | (~is_aligned(A, B)))) | (dissimilar(sk2, sk3, sk5) | is_aligned(sk2, sk5) | (~organization(sk2)) | (~is_aligned(sk2, sk3)))),
% 0.53/0.58 inference(quant_inst,[status(thm)],[])).
% 0.53/0.58 tff(266,plain,
% 0.53/0.58 ((~![B: $i, A: $i, C: $i] : (dissimilar(A, B, C) | is_aligned(A, C) | (~organization(A)) | (~is_aligned(A, B)))) | (~organization(sk2)) | is_aligned(sk2, sk5) | (~is_aligned(sk2, sk3)) | dissimilar(sk2, sk3, sk5)),
% 0.53/0.58 inference(modus_ponens,[status(thm)],[265, 264])).
% 0.53/0.58 tff(267,plain,
% 0.53/0.58 (dissimilar(sk2, sk3, sk5)),
% 0.53/0.58 inference(unit_resolution,[status(thm)],[266, 260, 3, 250, 29])).
% 0.53/0.58 tff(268,plain,
% 0.53/0.58 (^[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)))))),
% 0.53/0.58 inference(bind,[status(th)],[])).
% 0.53/0.58 tff(269,plain,
% 0.53/0.58 (![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))))),
% 0.53/0.58 inference(quant_intro,[status(thm)],[268])).
% 0.53/0.58 tff(270,plain,
% 0.53/0.58 (^[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))))))),
% 0.53/0.58 inference(bind,[status(th)],[])).
% 0.53/0.58 tff(271,plain,
% 0.53/0.58 (![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = zero))) <=> ![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = age(sk2, sk3))))),
% 0.53/0.58 inference(quant_intro,[status(thm)],[270])).
% 0.53/0.58 tff(272,plain,
% 0.53/0.58 (![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = zero))) <=> ![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = zero)))),
% 0.53/0.58 inference(rewrite,[status(thm)],[])).
% 0.53/0.58 tff(273,plain,
% 0.53/0.58 (^[B: $i, A: $i, C: $i] : trans(monotonicity(rewrite((((~organization(A)) | (~(age(A, B) = zero))) | (~dissimilar(A, B, C))) <=> ((~dissimilar(A, B, C)) | (~organization(A)) | (~(age(A, B) = zero)))), (((((~organization(A)) | (~(age(A, B) = zero))) | (~dissimilar(A, B, C))) | greater(age(A, C), sigma)) <=> (((~dissimilar(A, B, C)) | (~organization(A)) | (~(age(A, B) = zero))) | greater(age(A, C), sigma)))), rewrite((((~dissimilar(A, B, C)) | (~organization(A)) | (~(age(A, B) = zero))) | greater(age(A, C), sigma)) <=> ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = zero)))), (((((~organization(A)) | (~(age(A, B) = zero))) | (~dissimilar(A, B, C))) | greater(age(A, C), sigma)) <=> ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = zero)))))),
% 0.53/0.58 inference(bind,[status(th)],[])).
% 0.53/0.58 tff(274,plain,
% 0.53/0.58 (![B: $i, A: $i, C: $i] : ((((~organization(A)) | (~(age(A, B) = zero))) | (~dissimilar(A, B, C))) | greater(age(A, C), sigma)) <=> ![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = zero)))),
% 0.53/0.58 inference(quant_intro,[status(thm)],[273])).
% 0.53/0.58 tff(275,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_57')).
% 0.53/0.58 tff(276,plain,
% 0.53/0.58 (![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = zero)))),
% 0.53/0.58 inference(modus_ponens,[status(thm)],[275, 274])).
% 0.53/0.58 tff(277,plain,
% 0.53/0.58 (![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = zero)))),
% 0.53/0.58 inference(modus_ponens,[status(thm)],[276, 272])).
% 0.53/0.58 tff(278,plain,
% 0.53/0.58 (![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = age(sk2, sk3))))),
% 0.53/0.58 inference(modus_ponens,[status(thm)],[277, 271])).
% 0.53/0.58 tff(279,plain,(
% 0.53/0.58 ![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = age(sk2, sk3))))),
% 0.53/0.58 inference(skolemize,[status(sab)],[278])).
% 0.53/0.58 tff(280,plain,
% 0.53/0.58 (![B: $i, A: $i, C: $i] : ((~dissimilar(A, B, C)) | (~organization(A)) | greater(age(A, C), sigma) | (~(age(A, B) = age(sk2, sk3))))),
% 0.53/0.58 inference(modus_ponens,[status(thm)],[279, 269])).
% 0.53/0.58 tff(281,plain,
% 0.53/0.58 (((~![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, sk5), sigma) | (~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))))) | (~organization(sk2)) | greater(age(sk2, sk5), sigma) | (~dissimilar(sk2, sk3, sk5)))),
% 0.53/0.58 inference(rewrite,[status(thm)],[])).
% 0.53/0.58 tff(282,plain,
% 0.53/0.58 (((~dissimilar(sk2, sk3, sk5)) | (~organization(sk2)) | greater(age(sk2, sk5), sigma) | $false) <=> ((~organization(sk2)) | greater(age(sk2, sk5), sigma) | (~dissimilar(sk2, sk3, sk5)))),
% 0.53/0.58 inference(rewrite,[status(thm)],[])).
% 0.53/0.58 tff(283,plain,
% 0.53/0.58 (((~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)),
% 0.53/0.58 inference(monotonicity,[status(thm)],[22])).
% 0.53/0.58 tff(284,plain,
% 0.53/0.58 (((~dissimilar(sk2, sk3, sk5)) | (~organization(sk2)) | greater(age(sk2, sk5), sigma) | (~(age(sk2, sk3) = age(sk2, sk3)))) <=> ((~organization(sk2)) | greater(age(sk2, sk5), sigma) | (~dissimilar(sk2, sk3, sk5)))),
% 0.53/0.58 inference(transitivity,[status(thm)],[283, 282])).
% 0.53/0.58 tff(285,plain,
% 0.53/0.58 (((~![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))))) | ((~organization(sk2)) | greater(age(sk2, sk5), sigma) | (~dissimilar(sk2, sk3, sk5))))),
% 0.53/0.58 inference(monotonicity,[status(thm)],[284])).
% 0.53/0.58 tff(286,plain,
% 0.53/0.58 (((~![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))))) | (~organization(sk2)) | greater(age(sk2, sk5), sigma) | (~dissimilar(sk2, sk3, sk5)))),
% 0.53/0.58 inference(transitivity,[status(thm)],[285, 281])).
% 0.53/0.58 tff(287,plain,
% 0.53/0.58 ((~![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))))),
% 0.53/0.58 inference(quant_inst,[status(thm)],[])).
% 0.53/0.58 tff(288,plain,
% 0.53/0.58 ((~![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, sk5), sigma) | (~dissimilar(sk2, sk3, sk5))),
% 0.53/0.58 inference(modus_ponens,[status(thm)],[287, 286])).
% 0.53/0.58 tff(289,plain,
% 0.53/0.58 (greater(age(sk2, sk5), sigma)),
% 0.53/0.58 inference(unit_resolution,[status(thm)],[288, 280, 3, 267])).
% 0.53/0.58 tff(290,plain,
% 0.53/0.58 (^[B: $i, A: $i] : refl(((~greater(A, B)) | (~greater(B, A))) <=> ((~greater(A, B)) | (~greater(B, A))))),
% 0.53/0.58 inference(bind,[status(th)],[])).
% 0.53/0.58 tff(291,plain,
% 0.53/0.58 (![B: $i, A: $i] : ((~greater(A, B)) | (~greater(B, A))) <=> ![B: $i, A: $i] : ((~greater(A, B)) | (~greater(B, A)))),
% 0.53/0.58 inference(quant_intro,[status(thm)],[290])).
% 0.53/0.58 tff(292,plain,
% 0.53/0.58 (![B: $i, A: $i] : ((~greater(A, B)) | (~greater(B, A))) <=> ![B: $i, A: $i] : ((~greater(A, B)) | (~greater(B, A)))),
% 0.53/0.58 inference(rewrite,[status(thm)],[])).
% 0.53/0.58 tff(293,axiom,(![B: $i, A: $i] : ((~greater(A, B)) | (~greater(B, A)))), file('/export/starexec/sandbox2/benchmark/Axioms/MGT001-0.ax','meaning_postulate_greater_strict_9')).
% 0.53/0.58 tff(294,plain,
% 0.53/0.58 (![B: $i, A: $i] : ((~greater(A, B)) | (~greater(B, A)))),
% 0.53/0.58 inference(modus_ponens,[status(thm)],[293, 292])).
% 0.53/0.58 tff(295,plain,(
% 0.53/0.58 ![B: $i, A: $i] : ((~greater(A, B)) | (~greater(B, A)))),
% 0.53/0.58 inference(skolemize,[status(sab)],[294])).
% 0.53/0.58 tff(296,plain,
% 0.53/0.58 (![B: $i, A: $i] : ((~greater(A, B)) | (~greater(B, A)))),
% 0.53/0.58 inference(modus_ponens,[status(thm)],[295, 291])).
% 0.53/0.58 tff(297,plain,
% 0.53/0.58 (((~![B: $i, A: $i] : ((~greater(A, B)) | (~greater(B, A)))) | ((~greater(sigma, age(sk2, sk5))) | (~greater(age(sk2, sk5), sigma)))) <=> ((~![B: $i, A: $i] : ((~greater(A, B)) | (~greater(B, A)))) | (~greater(sigma, age(sk2, sk5))) | (~greater(age(sk2, sk5), sigma)))),
% 0.53/0.58 inference(rewrite,[status(thm)],[])).
% 0.53/0.58 tff(298,plain,
% 0.53/0.58 ((~![B: $i, A: $i] : ((~greater(A, B)) | (~greater(B, A)))) | ((~greater(sigma, age(sk2, sk5))) | (~greater(age(sk2, sk5), sigma)))),
% 0.53/0.58 inference(quant_inst,[status(thm)],[])).
% 0.53/0.58 tff(299,plain,
% 0.53/0.58 ((~![B: $i, A: $i] : ((~greater(A, B)) | (~greater(B, A)))) | (~greater(sigma, age(sk2, sk5))) | (~greater(age(sk2, sk5), sigma))),
% 0.53/0.58 inference(modus_ponens,[status(thm)],[298, 297])).
% 0.53/0.58 tff(300,plain,
% 0.53/0.58 (~greater(sigma, age(sk2, sk5))),
% 0.53/0.58 inference(unit_resolution,[status(thm)],[299, 296, 289])).
% 0.53/0.58 tff(301,plain,
% 0.53/0.58 (^[B: $i, A: $i] : refl(((~smaller(A, B)) | greater(B, A)) <=> ((~smaller(A, B)) | greater(B, A)))),
% 0.53/0.58 inference(bind,[status(th)],[])).
% 0.53/0.58 tff(302,plain,
% 0.53/0.58 (![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A)) <=> ![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))),
% 0.53/0.58 inference(quant_intro,[status(thm)],[301])).
% 0.53/0.58 tff(303,plain,
% 0.53/0.58 (![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A)) <=> ![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))),
% 0.53/0.58 inference(rewrite,[status(thm)],[])).
% 0.53/0.58 tff(304,axiom,(![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))), file('/export/starexec/sandbox2/benchmark/Axioms/MGT001-0.ax','definition_smaller_7')).
% 0.53/0.58 tff(305,plain,
% 0.53/0.58 (![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))),
% 0.53/0.58 inference(modus_ponens,[status(thm)],[304, 303])).
% 0.53/0.58 tff(306,plain,(
% 0.53/0.58 ![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))),
% 0.53/0.58 inference(skolemize,[status(sab)],[305])).
% 0.53/0.58 tff(307,plain,
% 0.53/0.58 (![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))),
% 0.53/0.58 inference(modus_ponens,[status(thm)],[306, 302])).
% 0.53/0.58 tff(308,plain,
% 0.53/0.58 (((~![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))) | ((~smaller(age(sk2, sk5), sigma)) | greater(sigma, age(sk2, sk5)))) <=> ((~![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))) | (~smaller(age(sk2, sk5), sigma)) | greater(sigma, age(sk2, sk5)))),
% 0.53/0.58 inference(rewrite,[status(thm)],[])).
% 0.53/0.58 tff(309,plain,
% 0.53/0.58 ((~![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))) | ((~smaller(age(sk2, sk5), sigma)) | greater(sigma, age(sk2, sk5)))),
% 0.53/0.58 inference(quant_inst,[status(thm)],[])).
% 0.53/0.58 tff(310,plain,
% 0.53/0.58 ((~![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))) | (~smaller(age(sk2, sk5), sigma)) | greater(sigma, age(sk2, sk5))),
% 0.53/0.58 inference(modus_ponens,[status(thm)],[309, 308])).
% 0.53/0.58 tff(311,plain,
% 0.53/0.58 (~smaller(age(sk2, sk5), sigma)),
% 0.53/0.58 inference(unit_resolution,[status(thm)],[310, 307, 300])).
% 0.53/0.58 tff(312,plain,
% 0.53/0.58 (smaller_or_equal(age(sk2, sk5), sigma) <=> smaller_or_equal(age(sk2, sk5), sigma)),
% 0.53/0.58 inference(rewrite,[status(thm)],[])).
% 0.53/0.58 tff(313,axiom,(smaller_or_equal(age(sk2, sk5), sigma)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','lemma_8_64')).
% 0.53/0.58 tff(314,plain,
% 0.53/0.58 (smaller_or_equal(age(sk2, sk5), sigma)),
% 0.53/0.58 inference(modus_ponens,[status(thm)],[313, 312])).
% 0.53/0.58 tff(315,plain,
% 0.53/0.58 (^[B: $i, A: $i] : refl(((A = B) | smaller(A, B) | (~smaller_or_equal(A, B))) <=> ((A = B) | smaller(A, B) | (~smaller_or_equal(A, B))))),
% 0.53/0.58 inference(bind,[status(th)],[])).
% 0.53/0.58 tff(316,plain,
% 0.53/0.58 (![B: $i, A: $i] : ((A = B) | smaller(A, B) | (~smaller_or_equal(A, B))) <=> ![B: $i, A: $i] : ((A = B) | smaller(A, B) | (~smaller_or_equal(A, B)))),
% 0.53/0.58 inference(quant_intro,[status(thm)],[315])).
% 0.53/0.58 tff(317,plain,
% 0.53/0.58 (![B: $i, A: $i] : ((A = B) | smaller(A, B) | (~smaller_or_equal(A, B))) <=> ![B: $i, A: $i] : ((A = B) | smaller(A, B) | (~smaller_or_equal(A, B)))),
% 0.53/0.58 inference(rewrite,[status(thm)],[])).
% 0.53/0.58 tff(318,plain,
% 0.53/0.58 (^[B: $i, A: $i] : rewrite((((~smaller_or_equal(A, B)) | smaller(A, B)) | (A = B)) <=> ((A = B) | smaller(A, B) | (~smaller_or_equal(A, B))))),
% 0.53/0.58 inference(bind,[status(th)],[])).
% 0.53/0.58 tff(319,plain,
% 0.53/0.58 (![B: $i, A: $i] : (((~smaller_or_equal(A, B)) | smaller(A, B)) | (A = B)) <=> ![B: $i, A: $i] : ((A = B) | smaller(A, B) | (~smaller_or_equal(A, B)))),
% 0.53/0.58 inference(quant_intro,[status(thm)],[318])).
% 0.53/0.58 tff(320,axiom,(![B: $i, A: $i] : (((~smaller_or_equal(A, B)) | smaller(A, B)) | (A = B))), file('/export/starexec/sandbox2/benchmark/Axioms/MGT001-0.ax','definition_smaller_or_equal_1')).
% 0.53/0.58 tff(321,plain,
% 0.53/0.58 (![B: $i, A: $i] : ((A = B) | smaller(A, B) | (~smaller_or_equal(A, B)))),
% 0.53/0.58 inference(modus_ponens,[status(thm)],[320, 319])).
% 0.53/0.58 tff(322,plain,
% 0.53/0.58 (![B: $i, A: $i] : ((A = B) | smaller(A, B) | (~smaller_or_equal(A, B)))),
% 0.53/0.58 inference(modus_ponens,[status(thm)],[321, 317])).
% 0.53/0.58 tff(323,plain,(
% 0.53/0.58 ![B: $i, A: $i] : ((A = B) | smaller(A, B) | (~smaller_or_equal(A, B)))),
% 0.53/0.58 inference(skolemize,[status(sab)],[322])).
% 0.53/0.58 tff(324,plain,
% 0.53/0.58 (![B: $i, A: $i] : ((A = B) | smaller(A, B) | (~smaller_or_equal(A, B)))),
% 0.53/0.58 inference(modus_ponens,[status(thm)],[323, 316])).
% 0.53/0.58 tff(325,plain,
% 0.53/0.58 (((~![B: $i, A: $i] : ((A = B) | smaller(A, B) | (~smaller_or_equal(A, B)))) | ((age(sk2, sk5) = sigma) | smaller(age(sk2, sk5), sigma) | (~smaller_or_equal(age(sk2, sk5), sigma)))) <=> ((~![B: $i, A: $i] : ((A = B) | smaller(A, B) | (~smaller_or_equal(A, B)))) | (age(sk2, sk5) = sigma) | smaller(age(sk2, sk5), sigma) | (~smaller_or_equal(age(sk2, sk5), sigma)))),
% 0.53/0.58 inference(rewrite,[status(thm)],[])).
% 0.53/0.58 tff(326,plain,
% 0.53/0.58 ((~![B: $i, A: $i] : ((A = B) | smaller(A, B) | (~smaller_or_equal(A, B)))) | ((age(sk2, sk5) = sigma) | smaller(age(sk2, sk5), sigma) | (~smaller_or_equal(age(sk2, sk5), sigma)))),
% 0.53/0.58 inference(quant_inst,[status(thm)],[])).
% 0.53/0.58 tff(327,plain,
% 0.53/0.58 ((~![B: $i, A: $i] : ((A = B) | smaller(A, B) | (~smaller_or_equal(A, B)))) | (age(sk2, sk5) = sigma) | smaller(age(sk2, sk5), sigma) | (~smaller_or_equal(age(sk2, sk5), sigma))),
% 0.53/0.59 inference(modus_ponens,[status(thm)],[326, 325])).
% 0.53/0.59 tff(328,plain,
% 0.53/0.59 ((age(sk2, sk5) = sigma) | smaller(age(sk2, sk5), sigma)),
% 0.53/0.59 inference(unit_resolution,[status(thm)],[327, 324, 314])).
% 0.53/0.59 tff(329,plain,
% 0.53/0.59 (age(sk2, sk5) = sigma),
% 0.53/0.59 inference(unit_resolution,[status(thm)],[328, 311])).
% 0.53/0.59 tff(330,plain,
% 0.53/0.59 (sigma = age(sk2, sk5)),
% 0.53/0.59 inference(symmetry,[status(thm)],[329])).
% 0.53/0.59 tff(331,plain,
% 0.53/0.59 (greater(sigma, age(sk2, sk5)) <=> greater(age(sk2, sk5), sigma)),
% 0.53/0.59 inference(monotonicity,[status(thm)],[330, 329])).
% 0.53/0.59 tff(332,plain,
% 0.53/0.59 (greater(age(sk2, sk5), sigma) <=> greater(sigma, age(sk2, sk5))),
% 0.53/0.59 inference(symmetry,[status(thm)],[331])).
% 0.53/0.59 tff(333,plain,
% 0.53/0.59 (greater(sigma, age(sk2, sk5))),
% 0.53/0.59 inference(modus_ponens,[status(thm)],[289, 332])).
% 0.53/0.59 tff(334,plain,
% 0.53/0.59 ($false),
% 0.53/0.59 inference(unit_resolution,[status(thm)],[300, 333])).
% 0.53/0.59 % SZS output end Proof
%------------------------------------------------------------------------------