TSTP Solution File: MGT051-1 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : MGT051-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n019.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 05:22:14 EDT 2022
% Result : Unsatisfiable 0.20s 0.41s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : MGT051-1 : TPTP v8.1.0. Released v2.4.0.
% 0.06/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.34 % Computer : n019.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Sep 2 02:57:35 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.34 Usage: tptp [options] [-file:]file
% 0.13/0.34 -h, -? prints this message.
% 0.13/0.34 -smt2 print SMT-LIB2 benchmark.
% 0.13/0.34 -m, -model generate model.
% 0.13/0.34 -p, -proof generate proof.
% 0.13/0.34 -c, -core generate unsat core of named formulas.
% 0.13/0.34 -st, -statistics display statistics.
% 0.13/0.34 -t:timeout set timeout (in second).
% 0.13/0.34 -smt2status display status in smt2 format instead of SZS.
% 0.13/0.34 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.34 -<param>:<value> configuration parameter and value.
% 0.13/0.34 -o:<output-file> file to place output in.
% 0.20/0.41 % SZS status Unsatisfiable
% 0.20/0.41 % SZS output start Proof
% 0.20/0.41 tff(has_immunity_type, type, (
% 0.20/0.41 has_immunity: ( $i * $i ) > $o)).
% 0.20/0.41 tff(sk4_type, type, (
% 0.20/0.41 sk4: $i)).
% 0.20/0.41 tff(sk2_type, type, (
% 0.20/0.41 sk2: $i)).
% 0.20/0.41 tff(smaller_or_equal_type, type, (
% 0.20/0.41 smaller_or_equal: ( $i * $i ) > $o)).
% 0.20/0.41 tff(eta_type, type, (
% 0.20/0.41 eta: $i)).
% 0.20/0.41 tff(age_type, type, (
% 0.20/0.41 age: ( $i * $i ) > $i)).
% 0.20/0.41 tff(has_endowment_type, type, (
% 0.20/0.41 has_endowment: $i > $o)).
% 0.20/0.41 tff(sk3_type, type, (
% 0.20/0.41 sk3: $i)).
% 0.20/0.41 tff(smaller_type, type, (
% 0.20/0.41 smaller: ( $i * $i ) > $o)).
% 0.20/0.41 tff(greater_type, type, (
% 0.20/0.41 greater: ( $i * $i ) > $o)).
% 0.20/0.41 tff(hazard_of_mortality_type, type, (
% 0.20/0.41 hazard_of_mortality: ( $i * $i ) > $i)).
% 0.20/0.41 tff(sk5_type, type, (
% 0.20/0.41 sk5: $i)).
% 0.20/0.41 tff(sk6_type, type, (
% 0.20/0.41 sk6: $i)).
% 0.20/0.41 tff(greater_or_equal_type, type, (
% 0.20/0.41 greater_or_equal: ( $i * $i ) > $o)).
% 0.20/0.41 tff(position_type, type, (
% 0.20/0.41 position: ( $i * $i ) > $i)).
% 0.20/0.41 tff(external_ties_type, type, (
% 0.20/0.41 external_ties: ( $i * $i ) > $i)).
% 0.20/0.41 tff(organization_type, type, (
% 0.20/0.41 organization: $i > $o)).
% 0.20/0.41 tff(capability_type, type, (
% 0.20/0.41 capability: ( $i * $i ) > $i)).
% 0.20/0.41 tff(stock_of_knowledge_type, type, (
% 0.20/0.41 stock_of_knowledge: ( $i * $i ) > $i)).
% 0.20/0.41 tff(internal_friction_type, type, (
% 0.20/0.41 internal_friction: ( $i * $i ) > $i)).
% 0.20/0.41 tff(1,plain,
% 0.20/0.41 (smaller_or_equal(age(sk2, sk4), eta) <=> smaller_or_equal(age(sk2, sk4), eta)),
% 0.20/0.41 inference(rewrite,[status(thm)],[])).
% 0.20/0.41 tff(2,axiom,(smaller_or_equal(age(sk2, sk4), eta)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','theorem_4_64')).
% 0.20/0.41 tff(3,plain,
% 0.20/0.41 (smaller_or_equal(age(sk2, sk4), eta)),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[2, 1])).
% 0.20/0.41 tff(4,plain,
% 0.20/0.41 (has_endowment(sk2) <=> has_endowment(sk2)),
% 0.20/0.41 inference(rewrite,[status(thm)],[])).
% 0.20/0.41 tff(5,axiom,(has_endowment(sk2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','theorem_4_62')).
% 0.20/0.41 tff(6,plain,
% 0.20/0.41 (has_endowment(sk2)),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[5, 4])).
% 0.20/0.41 tff(7,plain,
% 0.20/0.41 (^[B: $i, A: $i] : refl(((~has_endowment(A)) | has_immunity(A, B) | (~smaller_or_equal(age(A, B), eta))) <=> ((~has_endowment(A)) | has_immunity(A, B) | (~smaller_or_equal(age(A, B), eta))))),
% 0.20/0.41 inference(bind,[status(th)],[])).
% 0.20/0.41 tff(8,plain,
% 0.20/0.41 (![B: $i, A: $i] : ((~has_endowment(A)) | has_immunity(A, B) | (~smaller_or_equal(age(A, B), eta))) <=> ![B: $i, A: $i] : ((~has_endowment(A)) | has_immunity(A, B) | (~smaller_or_equal(age(A, B), eta)))),
% 0.20/0.41 inference(quant_intro,[status(thm)],[7])).
% 0.20/0.41 tff(9,plain,
% 0.20/0.41 (![B: $i, A: $i] : ((~has_endowment(A)) | has_immunity(A, B) | (~smaller_or_equal(age(A, B), eta))) <=> ![B: $i, A: $i] : ((~has_endowment(A)) | has_immunity(A, B) | (~smaller_or_equal(age(A, B), eta)))),
% 0.20/0.41 inference(rewrite,[status(thm)],[])).
% 0.20/0.41 tff(10,plain,
% 0.20/0.41 (^[B: $i, A: $i] : rewrite((((~has_endowment(A)) | (~smaller_or_equal(age(A, B), eta))) | has_immunity(A, B)) <=> ((~has_endowment(A)) | has_immunity(A, B) | (~smaller_or_equal(age(A, B), eta))))),
% 0.20/0.41 inference(bind,[status(th)],[])).
% 0.20/0.41 tff(11,plain,
% 0.20/0.41 (![B: $i, A: $i] : (((~has_endowment(A)) | (~smaller_or_equal(age(A, B), eta))) | has_immunity(A, B)) <=> ![B: $i, A: $i] : ((~has_endowment(A)) | has_immunity(A, B) | (~smaller_or_equal(age(A, B), eta)))),
% 0.20/0.41 inference(quant_intro,[status(thm)],[10])).
% 0.20/0.41 tff(12,axiom,(![B: $i, A: $i] : (((~has_endowment(A)) | (~smaller_or_equal(age(A, B), eta))) | has_immunity(A, B))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','definition_1_42')).
% 0.20/0.41 tff(13,plain,
% 0.20/0.41 (![B: $i, A: $i] : ((~has_endowment(A)) | has_immunity(A, B) | (~smaller_or_equal(age(A, B), eta)))),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[12, 11])).
% 0.20/0.41 tff(14,plain,
% 0.20/0.41 (![B: $i, A: $i] : ((~has_endowment(A)) | has_immunity(A, B) | (~smaller_or_equal(age(A, B), eta)))),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[13, 9])).
% 0.20/0.41 tff(15,plain,(
% 0.20/0.41 ![B: $i, A: $i] : ((~has_endowment(A)) | has_immunity(A, B) | (~smaller_or_equal(age(A, B), eta)))),
% 0.20/0.41 inference(skolemize,[status(sab)],[14])).
% 0.20/0.41 tff(16,plain,
% 0.20/0.41 (![B: $i, A: $i] : ((~has_endowment(A)) | has_immunity(A, B) | (~smaller_or_equal(age(A, B), eta)))),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[15, 8])).
% 0.20/0.41 tff(17,plain,
% 0.20/0.41 (((~![B: $i, A: $i] : ((~has_endowment(A)) | has_immunity(A, B) | (~smaller_or_equal(age(A, B), eta)))) | ((~smaller_or_equal(age(sk2, sk4), eta)) | (~has_endowment(sk2)) | has_immunity(sk2, sk4))) <=> ((~![B: $i, A: $i] : ((~has_endowment(A)) | has_immunity(A, B) | (~smaller_or_equal(age(A, B), eta)))) | (~smaller_or_equal(age(sk2, sk4), eta)) | (~has_endowment(sk2)) | has_immunity(sk2, sk4))),
% 0.20/0.41 inference(rewrite,[status(thm)],[])).
% 0.20/0.41 tff(18,plain,
% 0.20/0.41 (((~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))),
% 0.20/0.41 inference(rewrite,[status(thm)],[])).
% 0.20/0.41 tff(19,plain,
% 0.20/0.41 (((~![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)))),
% 0.20/0.41 inference(monotonicity,[status(thm)],[18])).
% 0.20/0.41 tff(20,plain,
% 0.20/0.41 (((~![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))),
% 0.20/0.41 inference(transitivity,[status(thm)],[19, 17])).
% 0.20/0.41 tff(21,plain,
% 0.20/0.41 ((~![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)))),
% 0.20/0.41 inference(quant_inst,[status(thm)],[])).
% 0.20/0.41 tff(22,plain,
% 0.20/0.41 ((~![B: $i, A: $i] : ((~has_endowment(A)) | has_immunity(A, B) | (~smaller_or_equal(age(A, B), eta)))) | (~smaller_or_equal(age(sk2, sk4), eta)) | (~has_endowment(sk2)) | has_immunity(sk2, sk4)),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[21, 20])).
% 0.20/0.41 tff(23,plain,
% 0.20/0.41 (has_immunity(sk2, sk4)),
% 0.20/0.41 inference(unit_resolution,[status(thm)],[22, 16, 6, 3])).
% 0.20/0.41 tff(24,assumption,(~smaller_or_equal(age(sk2, sk3), eta)), introduced(assumption)).
% 0.20/0.41 tff(25,plain,
% 0.20/0.41 (^[B: $i, A: $i] : refl(((~smaller(A, B)) | smaller_or_equal(A, B)) <=> ((~smaller(A, B)) | smaller_or_equal(A, B)))),
% 0.20/0.41 inference(bind,[status(th)],[])).
% 0.20/0.41 tff(26,plain,
% 0.20/0.41 (![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B)) <=> ![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B))),
% 0.20/0.41 inference(quant_intro,[status(thm)],[25])).
% 0.20/0.41 tff(27,plain,
% 0.20/0.41 (![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B)) <=> ![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B))),
% 0.20/0.41 inference(rewrite,[status(thm)],[])).
% 0.20/0.41 tff(28,axiom,(![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B))), file('/export/starexec/sandbox2/benchmark/Axioms/MGT001-0.ax','definition_smaller_or_equal_2')).
% 0.20/0.41 tff(29,plain,
% 0.20/0.41 (![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B))),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[28, 27])).
% 0.20/0.41 tff(30,plain,(
% 0.20/0.41 ![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B))),
% 0.20/0.41 inference(skolemize,[status(sab)],[29])).
% 0.20/0.41 tff(31,plain,
% 0.20/0.41 (![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B))),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[30, 26])).
% 0.20/0.41 tff(32,plain,
% 0.20/0.41 (((~![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))),
% 0.20/0.41 inference(rewrite,[status(thm)],[])).
% 0.20/0.41 tff(33,plain,
% 0.20/0.41 ((~![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B))) | ((~smaller(age(sk2, sk3), eta)) | smaller_or_equal(age(sk2, sk3), eta))),
% 0.20/0.41 inference(quant_inst,[status(thm)],[])).
% 0.20/0.41 tff(34,plain,
% 0.20/0.41 ((~![B: $i, A: $i] : ((~smaller(A, B)) | smaller_or_equal(A, B))) | (~smaller(age(sk2, sk3), eta)) | smaller_or_equal(age(sk2, sk3), eta)),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[33, 32])).
% 0.20/0.41 tff(35,plain,
% 0.20/0.41 (~smaller(age(sk2, sk3), eta)),
% 0.20/0.41 inference(unit_resolution,[status(thm)],[34, 31, 24])).
% 0.20/0.41 tff(36,plain,
% 0.20/0.41 (^[B: $i, A: $i] : refl(((~(A = B)) | smaller_or_equal(A, B)) <=> ((~(A = B)) | smaller_or_equal(A, B)))),
% 0.20/0.41 inference(bind,[status(th)],[])).
% 0.20/0.41 tff(37,plain,
% 0.20/0.41 (![B: $i, A: $i] : ((~(A = B)) | smaller_or_equal(A, B)) <=> ![B: $i, A: $i] : ((~(A = B)) | smaller_or_equal(A, B))),
% 0.20/0.41 inference(quant_intro,[status(thm)],[36])).
% 0.20/0.41 tff(38,plain,
% 0.20/0.41 (![B: $i, A: $i] : ((~(A = B)) | smaller_or_equal(A, B)) <=> ![B: $i, A: $i] : ((~(A = B)) | smaller_or_equal(A, B))),
% 0.20/0.41 inference(rewrite,[status(thm)],[])).
% 0.20/0.41 tff(39,axiom,(![B: $i, A: $i] : ((~(A = B)) | smaller_or_equal(A, B))), file('/export/starexec/sandbox2/benchmark/Axioms/MGT001-0.ax','definition_smaller_or_equal_3')).
% 0.20/0.41 tff(40,plain,
% 0.20/0.41 (![B: $i, A: $i] : ((~(A = B)) | smaller_or_equal(A, B))),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[39, 38])).
% 0.20/0.41 tff(41,plain,(
% 0.20/0.41 ![B: $i, A: $i] : ((~(A = B)) | smaller_or_equal(A, B))),
% 0.20/0.41 inference(skolemize,[status(sab)],[40])).
% 0.20/0.41 tff(42,plain,
% 0.20/0.41 (![B: $i, A: $i] : ((~(A = B)) | smaller_or_equal(A, B))),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[41, 37])).
% 0.20/0.41 tff(43,plain,
% 0.20/0.41 (((~![B: $i, A: $i] : ((~(A = B)) | smaller_or_equal(A, B))) | ((~(age(sk2, sk3) = eta)) | smaller_or_equal(age(sk2, sk3), eta))) <=> ((~![B: $i, A: $i] : ((~(A = B)) | smaller_or_equal(A, B))) | (~(age(sk2, sk3) = eta)) | smaller_or_equal(age(sk2, sk3), eta))),
% 0.20/0.41 inference(rewrite,[status(thm)],[])).
% 0.20/0.41 tff(44,plain,
% 0.20/0.41 ((~![B: $i, A: $i] : ((~(A = B)) | smaller_or_equal(A, B))) | ((~(age(sk2, sk3) = eta)) | smaller_or_equal(age(sk2, sk3), eta))),
% 0.20/0.41 inference(quant_inst,[status(thm)],[])).
% 0.20/0.41 tff(45,plain,
% 0.20/0.41 ((~![B: $i, A: $i] : ((~(A = B)) | smaller_or_equal(A, B))) | (~(age(sk2, sk3) = eta)) | smaller_or_equal(age(sk2, sk3), eta)),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[44, 43])).
% 0.20/0.41 tff(46,plain,
% 0.20/0.41 (~(age(sk2, sk3) = eta)),
% 0.20/0.41 inference(unit_resolution,[status(thm)],[45, 42, 24])).
% 0.20/0.41 tff(47,plain,
% 0.20/0.41 (^[B: $i, A: $i] : refl(((A = B) | smaller(A, B) | greater(A, B)) <=> ((A = B) | smaller(A, B) | greater(A, B)))),
% 0.20/0.41 inference(bind,[status(th)],[])).
% 0.20/0.41 tff(48,plain,
% 0.20/0.41 (![B: $i, A: $i] : ((A = B) | smaller(A, B) | greater(A, B)) <=> ![B: $i, A: $i] : ((A = B) | smaller(A, B) | greater(A, B))),
% 0.20/0.41 inference(quant_intro,[status(thm)],[47])).
% 0.20/0.41 tff(49,plain,
% 0.20/0.41 (![B: $i, A: $i] : ((A = B) | smaller(A, B) | greater(A, B)) <=> ![B: $i, A: $i] : ((A = B) | smaller(A, B) | greater(A, B))),
% 0.20/0.41 inference(rewrite,[status(thm)],[])).
% 0.20/0.41 tff(50,plain,
% 0.20/0.41 (^[B: $i, A: $i] : trans(monotonicity(rewrite((smaller(A, B) | (A = B)) <=> ((A = B) | smaller(A, B))), (((smaller(A, B) | (A = B)) | greater(A, B)) <=> (((A = B) | smaller(A, B)) | greater(A, B)))), rewrite((((A = B) | smaller(A, B)) | greater(A, B)) <=> ((A = B) | smaller(A, B) | greater(A, B))), (((smaller(A, B) | (A = B)) | greater(A, B)) <=> ((A = B) | smaller(A, B) | greater(A, B))))),
% 0.20/0.41 inference(bind,[status(th)],[])).
% 0.20/0.41 tff(51,plain,
% 0.20/0.41 (![B: $i, A: $i] : ((smaller(A, B) | (A = B)) | greater(A, B)) <=> ![B: $i, A: $i] : ((A = B) | smaller(A, B) | greater(A, B))),
% 0.20/0.41 inference(quant_intro,[status(thm)],[50])).
% 0.20/0.41 tff(52,axiom,(![B: $i, A: $i] : ((smaller(A, B) | (A = B)) | greater(A, B))), file('/export/starexec/sandbox2/benchmark/Axioms/MGT001-0.ax','meaning_postulate_greater_comparable_11')).
% 0.20/0.41 tff(53,plain,
% 0.20/0.41 (![B: $i, A: $i] : ((A = B) | smaller(A, B) | greater(A, B))),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[52, 51])).
% 0.20/0.41 tff(54,plain,
% 0.20/0.41 (![B: $i, A: $i] : ((A = B) | smaller(A, B) | greater(A, B))),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[53, 49])).
% 0.20/0.41 tff(55,plain,(
% 0.20/0.41 ![B: $i, A: $i] : ((A = B) | smaller(A, B) | greater(A, B))),
% 0.20/0.41 inference(skolemize,[status(sab)],[54])).
% 0.20/0.41 tff(56,plain,
% 0.20/0.41 (![B: $i, A: $i] : ((A = B) | smaller(A, B) | greater(A, B))),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[55, 48])).
% 0.20/0.41 tff(57,plain,
% 0.20/0.41 (((~![B: $i, A: $i] : ((A = B) | smaller(A, B) | greater(A, B))) | (greater(age(sk2, sk3), eta) | (age(sk2, sk3) = eta) | smaller(age(sk2, sk3), eta))) <=> ((~![B: $i, A: $i] : ((A = B) | smaller(A, B) | greater(A, B))) | greater(age(sk2, sk3), eta) | (age(sk2, sk3) = eta) | smaller(age(sk2, sk3), eta))),
% 0.20/0.42 inference(rewrite,[status(thm)],[])).
% 0.20/0.42 tff(58,plain,
% 0.20/0.42 (((age(sk2, sk3) = eta) | smaller(age(sk2, sk3), eta) | greater(age(sk2, sk3), eta)) <=> (greater(age(sk2, sk3), eta) | (age(sk2, sk3) = eta) | smaller(age(sk2, sk3), eta))),
% 0.20/0.42 inference(rewrite,[status(thm)],[])).
% 0.20/0.42 tff(59,plain,
% 0.20/0.42 (((~![B: $i, A: $i] : ((A = B) | smaller(A, B) | greater(A, B))) | ((age(sk2, sk3) = eta) | smaller(age(sk2, sk3), eta) | greater(age(sk2, sk3), eta))) <=> ((~![B: $i, A: $i] : ((A = B) | smaller(A, B) | greater(A, B))) | (greater(age(sk2, sk3), eta) | (age(sk2, sk3) = eta) | smaller(age(sk2, sk3), eta)))),
% 0.20/0.42 inference(monotonicity,[status(thm)],[58])).
% 0.20/0.42 tff(60,plain,
% 0.20/0.42 (((~![B: $i, A: $i] : ((A = B) | smaller(A, B) | greater(A, B))) | ((age(sk2, sk3) = eta) | smaller(age(sk2, sk3), eta) | greater(age(sk2, sk3), eta))) <=> ((~![B: $i, A: $i] : ((A = B) | smaller(A, B) | greater(A, B))) | greater(age(sk2, sk3), eta) | (age(sk2, sk3) = eta) | smaller(age(sk2, sk3), eta))),
% 0.20/0.42 inference(transitivity,[status(thm)],[59, 57])).
% 0.20/0.42 tff(61,plain,
% 0.20/0.42 ((~![B: $i, A: $i] : ((A = B) | smaller(A, B) | greater(A, B))) | ((age(sk2, sk3) = eta) | smaller(age(sk2, sk3), eta) | greater(age(sk2, sk3), eta))),
% 0.20/0.42 inference(quant_inst,[status(thm)],[])).
% 0.20/0.42 tff(62,plain,
% 0.20/0.42 ((~![B: $i, A: $i] : ((A = B) | smaller(A, B) | greater(A, B))) | greater(age(sk2, sk3), eta) | (age(sk2, sk3) = eta) | smaller(age(sk2, sk3), eta)),
% 0.20/0.42 inference(modus_ponens,[status(thm)],[61, 60])).
% 0.20/0.42 tff(63,plain,
% 0.20/0.42 (greater(age(sk2, sk3), eta)),
% 0.20/0.42 inference(unit_resolution,[status(thm)],[62, 56, 46, 35])).
% 0.20/0.42 tff(64,assumption,(greater(age(sk2, sk4), age(sk2, sk3))), introduced(assumption)).
% 0.20/0.42 tff(65,plain,
% 0.20/0.42 (^[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))))),
% 0.20/0.42 inference(bind,[status(th)],[])).
% 0.20/0.42 tff(66,plain,
% 0.20/0.42 (![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)))),
% 0.20/0.42 inference(quant_intro,[status(thm)],[65])).
% 0.20/0.42 tff(67,plain,
% 0.20/0.42 (![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)))),
% 0.20/0.42 inference(rewrite,[status(thm)],[])).
% 0.20/0.42 tff(68,plain,
% 0.20/0.42 (^[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))))),
% 0.20/0.42 inference(bind,[status(th)],[])).
% 0.20/0.42 tff(69,plain,
% 0.20/0.42 (![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)))),
% 0.20/0.42 inference(quant_intro,[status(thm)],[68])).
% 0.20/0.42 tff(70,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_43')).
% 0.20/0.42 tff(71,plain,
% 0.20/0.42 (![B: $i, A: $i] : ((~has_endowment(A)) | (~has_immunity(A, B)) | (~greater(age(A, B), eta)))),
% 0.20/0.42 inference(modus_ponens,[status(thm)],[70, 69])).
% 0.20/0.42 tff(72,plain,
% 0.20/0.42 (![B: $i, A: $i] : ((~has_endowment(A)) | (~has_immunity(A, B)) | (~greater(age(A, B), eta)))),
% 0.20/0.42 inference(modus_ponens,[status(thm)],[71, 67])).
% 0.20/0.42 tff(73,plain,(
% 0.20/0.42 ![B: $i, A: $i] : ((~has_endowment(A)) | (~has_immunity(A, B)) | (~greater(age(A, B), eta)))),
% 0.20/0.42 inference(skolemize,[status(sab)],[72])).
% 0.20/0.42 tff(74,plain,
% 0.20/0.42 (![B: $i, A: $i] : ((~has_endowment(A)) | (~has_immunity(A, B)) | (~greater(age(A, B), eta)))),
% 0.20/0.42 inference(modus_ponens,[status(thm)],[73, 66])).
% 0.20/0.42 tff(75,plain,
% 0.20/0.42 (((~![B: $i, A: $i] : ((~has_endowment(A)) | (~has_immunity(A, B)) | (~greater(age(A, B), eta)))) | ((~has_endowment(sk2)) | (~has_immunity(sk2, sk4)) | (~greater(age(sk2, sk4), eta)))) <=> ((~![B: $i, A: $i] : ((~has_endowment(A)) | (~has_immunity(A, B)) | (~greater(age(A, B), eta)))) | (~has_endowment(sk2)) | (~has_immunity(sk2, sk4)) | (~greater(age(sk2, sk4), eta)))),
% 0.20/0.42 inference(rewrite,[status(thm)],[])).
% 0.20/0.42 tff(76,plain,
% 0.20/0.42 ((~![B: $i, A: $i] : ((~has_endowment(A)) | (~has_immunity(A, B)) | (~greater(age(A, B), eta)))) | ((~has_endowment(sk2)) | (~has_immunity(sk2, sk4)) | (~greater(age(sk2, sk4), eta)))),
% 0.20/0.42 inference(quant_inst,[status(thm)],[])).
% 0.20/0.42 tff(77,plain,
% 0.20/0.42 ((~![B: $i, A: $i] : ((~has_endowment(A)) | (~has_immunity(A, B)) | (~greater(age(A, B), eta)))) | (~has_endowment(sk2)) | (~has_immunity(sk2, sk4)) | (~greater(age(sk2, sk4), eta))),
% 0.20/0.42 inference(modus_ponens,[status(thm)],[76, 75])).
% 0.20/0.42 tff(78,plain,
% 0.20/0.42 (~greater(age(sk2, sk4), eta)),
% 0.20/0.42 inference(unit_resolution,[status(thm)],[77, 74, 6, 23])).
% 0.20/0.42 tff(79,assumption,(greater(age(sk2, sk3), eta)), introduced(assumption)).
% 0.20/0.42 tff(80,plain,
% 0.20/0.42 (![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B))) <=> ![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))),
% 0.20/0.42 inference(rewrite,[status(thm)],[])).
% 0.20/0.42 tff(81,plain,
% 0.20/0.42 (![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B))) <=> ![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))),
% 0.20/0.42 inference(rewrite,[status(thm)],[])).
% 0.20/0.42 tff(82,plain,
% 0.20/0.42 (^[B: $i, A: $i, C: $i] : rewrite((((~greater(A, B)) | (~greater(B, C))) | greater(A, C)) <=> (greater(A, C) | (~greater(B, C)) | (~greater(A, B))))),
% 0.20/0.42 inference(bind,[status(th)],[])).
% 0.20/0.42 tff(83,plain,
% 0.20/0.42 (![B: $i, A: $i, C: $i] : (((~greater(A, B)) | (~greater(B, C))) | greater(A, C)) <=> ![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))),
% 0.20/0.42 inference(quant_intro,[status(thm)],[82])).
% 0.20/0.42 tff(84,axiom,(![B: $i, A: $i, C: $i] : (((~greater(A, B)) | (~greater(B, C))) | greater(A, C))), file('/export/starexec/sandbox2/benchmark/Axioms/MGT001-0.ax','meaning_postulate_greater_transitive_10')).
% 0.20/0.42 tff(85,plain,
% 0.20/0.42 (![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))),
% 0.20/0.42 inference(modus_ponens,[status(thm)],[84, 83])).
% 0.20/0.42 tff(86,plain,
% 0.20/0.42 (![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))),
% 0.20/0.42 inference(modus_ponens,[status(thm)],[85, 81])).
% 0.20/0.42 tff(87,plain,(
% 0.20/0.42 ![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))),
% 0.20/0.42 inference(skolemize,[status(sab)],[86])).
% 0.20/0.42 tff(88,plain,
% 0.20/0.42 (![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))),
% 0.20/0.42 inference(modus_ponens,[status(thm)],[87, 80])).
% 0.20/0.42 tff(89,plain,
% 0.20/0.42 (((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | ((~greater(age(sk2, sk3), eta)) | greater(age(sk2, sk4), eta) | (~greater(age(sk2, sk4), age(sk2, sk3))))) <=> ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (~greater(age(sk2, sk3), eta)) | greater(age(sk2, sk4), eta) | (~greater(age(sk2, sk4), age(sk2, sk3))))),
% 0.20/0.42 inference(rewrite,[status(thm)],[])).
% 0.20/0.42 tff(90,plain,
% 0.20/0.42 ((greater(age(sk2, sk4), eta) | (~greater(age(sk2, sk3), eta)) | (~greater(age(sk2, sk4), age(sk2, sk3)))) <=> ((~greater(age(sk2, sk3), eta)) | greater(age(sk2, sk4), eta) | (~greater(age(sk2, sk4), age(sk2, sk3))))),
% 0.20/0.42 inference(rewrite,[status(thm)],[])).
% 0.20/0.42 tff(91,plain,
% 0.20/0.42 (((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(age(sk2, sk4), eta) | (~greater(age(sk2, sk3), eta)) | (~greater(age(sk2, sk4), age(sk2, sk3))))) <=> ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | ((~greater(age(sk2, sk3), eta)) | greater(age(sk2, sk4), eta) | (~greater(age(sk2, sk4), age(sk2, sk3)))))),
% 0.20/0.42 inference(monotonicity,[status(thm)],[90])).
% 0.20/0.42 tff(92,plain,
% 0.20/0.42 (((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(age(sk2, sk4), eta) | (~greater(age(sk2, sk3), eta)) | (~greater(age(sk2, sk4), age(sk2, sk3))))) <=> ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (~greater(age(sk2, sk3), eta)) | greater(age(sk2, sk4), eta) | (~greater(age(sk2, sk4), age(sk2, sk3))))),
% 0.20/0.42 inference(transitivity,[status(thm)],[91, 89])).
% 0.20/0.42 tff(93,plain,
% 0.20/0.42 ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(age(sk2, sk4), eta) | (~greater(age(sk2, sk3), eta)) | (~greater(age(sk2, sk4), age(sk2, sk3))))),
% 0.20/0.42 inference(quant_inst,[status(thm)],[])).
% 0.20/0.42 tff(94,plain,
% 0.20/0.42 ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (~greater(age(sk2, sk3), eta)) | greater(age(sk2, sk4), eta) | (~greater(age(sk2, sk4), age(sk2, sk3)))),
% 0.20/0.42 inference(modus_ponens,[status(thm)],[93, 92])).
% 0.20/0.42 tff(95,plain,
% 0.20/0.42 ($false),
% 0.20/0.42 inference(unit_resolution,[status(thm)],[94, 88, 79, 78, 64])).
% 0.20/0.42 tff(96,plain,((~greater(age(sk2, sk4), age(sk2, sk3))) | (~greater(age(sk2, sk3), eta))), inference(lemma,lemma(discharge,[]))).
% 0.20/0.42 tff(97,plain,
% 0.20/0.42 (~greater(age(sk2, sk4), age(sk2, sk3))),
% 0.20/0.42 inference(unit_resolution,[status(thm)],[96, 63])).
% 0.20/0.42 tff(98,plain,
% 0.20/0.42 (^[B: $i, A: $i] : refl(((~smaller(A, B)) | greater(B, A)) <=> ((~smaller(A, B)) | greater(B, A)))),
% 0.20/0.42 inference(bind,[status(th)],[])).
% 0.20/0.42 tff(99,plain,
% 0.20/0.42 (![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A)) <=> ![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))),
% 0.20/0.42 inference(quant_intro,[status(thm)],[98])).
% 0.20/0.42 tff(100,plain,
% 0.20/0.42 (![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A)) <=> ![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))),
% 0.20/0.42 inference(rewrite,[status(thm)],[])).
% 0.20/0.42 tff(101,axiom,(![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))), file('/export/starexec/sandbox2/benchmark/Axioms/MGT001-0.ax','definition_smaller_7')).
% 0.20/0.42 tff(102,plain,
% 0.20/0.42 (![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))),
% 0.20/0.42 inference(modus_ponens,[status(thm)],[101, 100])).
% 0.20/0.42 tff(103,plain,(
% 0.20/0.42 ![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))),
% 0.20/0.42 inference(skolemize,[status(sab)],[102])).
% 0.20/0.42 tff(104,plain,
% 0.20/0.42 (![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))),
% 0.20/0.42 inference(modus_ponens,[status(thm)],[103, 99])).
% 0.20/0.42 tff(105,plain,
% 0.20/0.42 (((~![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))) | ((~smaller(age(sk2, sk3), age(sk2, sk4))) | greater(age(sk2, sk4), age(sk2, sk3)))) <=> ((~![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))) | (~smaller(age(sk2, sk3), age(sk2, sk4))) | greater(age(sk2, sk4), age(sk2, sk3)))),
% 0.20/0.42 inference(rewrite,[status(thm)],[])).
% 0.20/0.42 tff(106,plain,
% 0.20/0.42 ((~![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))) | ((~smaller(age(sk2, sk3), age(sk2, sk4))) | greater(age(sk2, sk4), age(sk2, sk3)))),
% 0.20/0.42 inference(quant_inst,[status(thm)],[])).
% 0.20/0.42 tff(107,plain,
% 0.20/0.42 ((~![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))) | (~smaller(age(sk2, sk3), age(sk2, sk4))) | greater(age(sk2, sk4), age(sk2, sk3))),
% 0.20/0.42 inference(modus_ponens,[status(thm)],[106, 105])).
% 0.20/0.42 tff(108,plain,
% 0.20/0.42 (~smaller(age(sk2, sk3), age(sk2, sk4))),
% 0.20/0.42 inference(unit_resolution,[status(thm)],[107, 104, 97])).
% 0.20/0.42 tff(109,plain,
% 0.20/0.42 (smaller_or_equal(age(sk2, sk3), age(sk2, sk4)) <=> smaller_or_equal(age(sk2, sk3), age(sk2, sk4))),
% 0.20/0.42 inference(rewrite,[status(thm)],[])).
% 0.20/0.42 tff(110,axiom,(smaller_or_equal(age(sk2, sk3), age(sk2, sk4))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','theorem_4_63')).
% 0.20/0.42 tff(111,plain,
% 0.20/0.42 (smaller_or_equal(age(sk2, sk3), age(sk2, sk4))),
% 0.20/0.42 inference(modus_ponens,[status(thm)],[110, 109])).
% 0.20/0.42 tff(112,plain,
% 0.20/0.42 (^[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))))),
% 0.20/0.42 inference(bind,[status(th)],[])).
% 0.20/0.42 tff(113,plain,
% 0.20/0.42 (![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)))),
% 0.20/0.42 inference(quant_intro,[status(thm)],[112])).
% 0.20/0.42 tff(114,plain,
% 0.20/0.42 (![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)))),
% 0.20/0.43 inference(rewrite,[status(thm)],[])).
% 0.20/0.43 tff(115,plain,
% 0.20/0.43 (^[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))))),
% 0.20/0.43 inference(bind,[status(th)],[])).
% 0.20/0.43 tff(116,plain,
% 0.20/0.43 (![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)))),
% 0.20/0.43 inference(quant_intro,[status(thm)],[115])).
% 0.20/0.43 tff(117,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')).
% 0.20/0.43 tff(118,plain,
% 0.20/0.43 (![B: $i, A: $i] : ((A = B) | smaller(A, B) | (~smaller_or_equal(A, B)))),
% 0.20/0.43 inference(modus_ponens,[status(thm)],[117, 116])).
% 0.20/0.43 tff(119,plain,
% 0.20/0.43 (![B: $i, A: $i] : ((A = B) | smaller(A, B) | (~smaller_or_equal(A, B)))),
% 0.20/0.43 inference(modus_ponens,[status(thm)],[118, 114])).
% 0.20/0.43 tff(120,plain,(
% 0.20/0.43 ![B: $i, A: $i] : ((A = B) | smaller(A, B) | (~smaller_or_equal(A, B)))),
% 0.20/0.43 inference(skolemize,[status(sab)],[119])).
% 0.20/0.43 tff(121,plain,
% 0.20/0.43 (![B: $i, A: $i] : ((A = B) | smaller(A, B) | (~smaller_or_equal(A, B)))),
% 0.20/0.43 inference(modus_ponens,[status(thm)],[120, 113])).
% 0.20/0.43 tff(122,plain,
% 0.20/0.43 (((~![B: $i, A: $i] : ((A = B) | smaller(A, B) | (~smaller_or_equal(A, B)))) | ((age(sk2, sk3) = age(sk2, sk4)) | smaller(age(sk2, sk3), age(sk2, sk4)) | (~smaller_or_equal(age(sk2, sk3), age(sk2, sk4))))) <=> ((~![B: $i, A: $i] : ((A = B) | smaller(A, B) | (~smaller_or_equal(A, B)))) | (age(sk2, sk3) = age(sk2, sk4)) | smaller(age(sk2, sk3), age(sk2, sk4)) | (~smaller_or_equal(age(sk2, sk3), age(sk2, sk4))))),
% 0.20/0.43 inference(rewrite,[status(thm)],[])).
% 0.20/0.43 tff(123,plain,
% 0.20/0.43 ((~![B: $i, A: $i] : ((A = B) | smaller(A, B) | (~smaller_or_equal(A, B)))) | ((age(sk2, sk3) = age(sk2, sk4)) | smaller(age(sk2, sk3), age(sk2, sk4)) | (~smaller_or_equal(age(sk2, sk3), age(sk2, sk4))))),
% 0.20/0.43 inference(quant_inst,[status(thm)],[])).
% 0.20/0.43 tff(124,plain,
% 0.20/0.43 ((~![B: $i, A: $i] : ((A = B) | smaller(A, B) | (~smaller_or_equal(A, B)))) | (age(sk2, sk3) = age(sk2, sk4)) | smaller(age(sk2, sk3), age(sk2, sk4)) | (~smaller_or_equal(age(sk2, sk3), age(sk2, sk4)))),
% 0.20/0.43 inference(modus_ponens,[status(thm)],[123, 122])).
% 0.20/0.43 tff(125,plain,
% 0.20/0.43 ((age(sk2, sk3) = age(sk2, sk4)) | smaller(age(sk2, sk3), age(sk2, sk4))),
% 0.20/0.43 inference(unit_resolution,[status(thm)],[124, 121, 111])).
% 0.20/0.43 tff(126,plain,
% 0.20/0.43 (age(sk2, sk3) = age(sk2, sk4)),
% 0.20/0.43 inference(unit_resolution,[status(thm)],[125, 108])).
% 0.20/0.43 tff(127,plain,
% 0.20/0.43 (smaller_or_equal(age(sk2, sk3), eta) <=> smaller_or_equal(age(sk2, sk4), eta)),
% 0.20/0.43 inference(monotonicity,[status(thm)],[126])).
% 0.20/0.43 tff(128,plain,
% 0.20/0.43 (smaller_or_equal(age(sk2, sk4), eta) <=> smaller_or_equal(age(sk2, sk3), eta)),
% 0.20/0.43 inference(symmetry,[status(thm)],[127])).
% 0.20/0.43 tff(129,plain,
% 0.20/0.43 (smaller_or_equal(age(sk2, sk3), eta)),
% 0.20/0.43 inference(modus_ponens,[status(thm)],[3, 128])).
% 0.20/0.43 tff(130,plain,
% 0.20/0.43 ($false),
% 0.20/0.43 inference(unit_resolution,[status(thm)],[24, 129])).
% 0.20/0.43 tff(131,plain,(smaller_or_equal(age(sk2, sk3), eta)), inference(lemma,lemma(discharge,[]))).
% 0.20/0.43 tff(132,plain,
% 0.20/0.43 (((~![B: $i, A: $i] : ((~has_endowment(A)) | has_immunity(A, B) | (~smaller_or_equal(age(A, B), eta)))) | ((~has_endowment(sk2)) | has_immunity(sk2, sk3) | (~smaller_or_equal(age(sk2, sk3), eta)))) <=> ((~![B: $i, A: $i] : ((~has_endowment(A)) | has_immunity(A, B) | (~smaller_or_equal(age(A, B), eta)))) | (~has_endowment(sk2)) | has_immunity(sk2, sk3) | (~smaller_or_equal(age(sk2, sk3), eta)))),
% 0.20/0.43 inference(rewrite,[status(thm)],[])).
% 0.20/0.43 tff(133,plain,
% 0.20/0.43 ((~![B: $i, A: $i] : ((~has_endowment(A)) | has_immunity(A, B) | (~smaller_or_equal(age(A, B), eta)))) | ((~has_endowment(sk2)) | has_immunity(sk2, sk3) | (~smaller_or_equal(age(sk2, sk3), eta)))),
% 0.20/0.43 inference(quant_inst,[status(thm)],[])).
% 0.20/0.43 tff(134,plain,
% 0.20/0.43 ((~![B: $i, A: $i] : ((~has_endowment(A)) | has_immunity(A, B) | (~smaller_or_equal(age(A, B), eta)))) | (~has_endowment(sk2)) | has_immunity(sk2, sk3) | (~smaller_or_equal(age(sk2, sk3), eta))),
% 0.20/0.43 inference(modus_ponens,[status(thm)],[133, 132])).
% 0.20/0.43 tff(135,plain,
% 0.20/0.43 (has_immunity(sk2, sk3) | (~smaller_or_equal(age(sk2, sk3), eta))),
% 0.20/0.43 inference(unit_resolution,[status(thm)],[134, 16, 6])).
% 0.20/0.43 tff(136,plain,
% 0.20/0.43 (has_immunity(sk2, sk3)),
% 0.20/0.43 inference(unit_resolution,[status(thm)],[135, 131])).
% 0.20/0.43 tff(137,assumption,(~(external_ties(sk2, sk6) = external_ties(sk2, sk5))), introduced(assumption)).
% 0.20/0.43 tff(138,plain,
% 0.20/0.43 (organization(sk2) <=> organization(sk2)),
% 0.20/0.43 inference(rewrite,[status(thm)],[])).
% 0.20/0.43 tff(139,axiom,(organization(sk2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','theorem_4_61')).
% 0.20/0.43 tff(140,plain,
% 0.20/0.43 (organization(sk2)),
% 0.20/0.43 inference(modus_ponens,[status(thm)],[139, 138])).
% 0.20/0.43 tff(141,plain,
% 0.20/0.43 (^[B: $i, A: $i, C: $i] : refl(((~organization(A)) | (external_ties(A, B) = external_ties(A, C))) <=> ((~organization(A)) | (external_ties(A, B) = external_ties(A, C))))),
% 0.20/0.43 inference(bind,[status(th)],[])).
% 0.20/0.43 tff(142,plain,
% 0.20/0.43 (![B: $i, A: $i, C: $i] : ((~organization(A)) | (external_ties(A, B) = external_ties(A, C))) <=> ![B: $i, A: $i, C: $i] : ((~organization(A)) | (external_ties(A, B) = external_ties(A, C)))),
% 0.20/0.43 inference(quant_intro,[status(thm)],[141])).
% 0.20/0.43 tff(143,plain,
% 0.20/0.43 (![B: $i, A: $i, C: $i] : ((~organization(A)) | (external_ties(A, B) = external_ties(A, C))) <=> ![B: $i, A: $i, C: $i] : ((~organization(A)) | (external_ties(A, B) = external_ties(A, C)))),
% 0.20/0.43 inference(rewrite,[status(thm)],[])).
% 0.20/0.43 tff(144,axiom,(![B: $i, A: $i, C: $i] : ((~organization(A)) | (external_ties(A, B) = external_ties(A, C)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','assumption_11_59')).
% 0.20/0.43 tff(145,plain,
% 0.20/0.43 (![B: $i, A: $i, C: $i] : ((~organization(A)) | (external_ties(A, B) = external_ties(A, C)))),
% 0.20/0.43 inference(modus_ponens,[status(thm)],[144, 143])).
% 0.20/0.43 tff(146,plain,(
% 0.20/0.43 ![B: $i, A: $i, C: $i] : ((~organization(A)) | (external_ties(A, B) = external_ties(A, C)))),
% 0.20/0.43 inference(skolemize,[status(sab)],[145])).
% 0.20/0.43 tff(147,plain,
% 0.20/0.43 (![B: $i, A: $i, C: $i] : ((~organization(A)) | (external_ties(A, B) = external_ties(A, C)))),
% 0.20/0.43 inference(modus_ponens,[status(thm)],[146, 142])).
% 0.20/0.43 tff(148,plain,
% 0.20/0.43 (((~![B: $i, A: $i, C: $i] : ((~organization(A)) | (external_ties(A, B) = external_ties(A, C)))) | ((~organization(sk2)) | (external_ties(sk2, sk6) = external_ties(sk2, sk5)))) <=> ((~![B: $i, A: $i, C: $i] : ((~organization(A)) | (external_ties(A, B) = external_ties(A, C)))) | (~organization(sk2)) | (external_ties(sk2, sk6) = external_ties(sk2, sk5)))),
% 0.20/0.43 inference(rewrite,[status(thm)],[])).
% 0.20/0.43 tff(149,plain,
% 0.20/0.43 ((~![B: $i, A: $i, C: $i] : ((~organization(A)) | (external_ties(A, B) = external_ties(A, C)))) | ((~organization(sk2)) | (external_ties(sk2, sk6) = external_ties(sk2, sk5)))),
% 0.20/0.43 inference(quant_inst,[status(thm)],[])).
% 0.20/0.43 tff(150,plain,
% 0.20/0.43 ((~![B: $i, A: $i, C: $i] : ((~organization(A)) | (external_ties(A, B) = external_ties(A, C)))) | (~organization(sk2)) | (external_ties(sk2, sk6) = external_ties(sk2, sk5))),
% 0.20/0.43 inference(modus_ponens,[status(thm)],[149, 148])).
% 0.20/0.43 tff(151,plain,
% 0.20/0.43 ($false),
% 0.20/0.43 inference(unit_resolution,[status(thm)],[150, 147, 140, 137])).
% 0.20/0.43 tff(152,plain,(external_ties(sk2, sk6) = external_ties(sk2, sk5)), inference(lemma,lemma(discharge,[]))).
% 0.20/0.43 tff(153,plain,
% 0.20/0.43 (external_ties(sk2, sk5) = external_ties(sk2, sk6)),
% 0.20/0.43 inference(symmetry,[status(thm)],[152])).
% 0.20/0.43 tff(154,assumption,(~(position(sk2, sk5) = position(sk2, sk6))), introduced(assumption)).
% 0.20/0.43 tff(155,plain,
% 0.20/0.43 (^[B: $i, A: $i, C: $i] : refl(((~organization(A)) | (position(A, B) = position(A, C)) | (~(external_ties(A, B) = external_ties(A, C)))) <=> ((~organization(A)) | (position(A, B) = position(A, C)) | (~(external_ties(A, B) = external_ties(A, C)))))),
% 0.20/0.43 inference(bind,[status(th)],[])).
% 0.20/0.43 tff(156,plain,
% 0.20/0.43 (![B: $i, A: $i, C: $i] : ((~organization(A)) | (position(A, B) = position(A, C)) | (~(external_ties(A, B) = external_ties(A, C)))) <=> ![B: $i, A: $i, C: $i] : ((~organization(A)) | (position(A, B) = position(A, C)) | (~(external_ties(A, B) = external_ties(A, C))))),
% 0.20/0.43 inference(quant_intro,[status(thm)],[155])).
% 0.20/0.43 tff(157,plain,
% 0.20/0.43 (![B: $i, A: $i, C: $i] : ((~organization(A)) | (position(A, B) = position(A, C)) | (~(external_ties(A, B) = external_ties(A, C)))) <=> ![B: $i, A: $i, C: $i] : ((~organization(A)) | (position(A, B) = position(A, C)) | (~(external_ties(A, B) = external_ties(A, C))))),
% 0.20/0.43 inference(rewrite,[status(thm)],[])).
% 0.20/0.43 tff(158,plain,
% 0.20/0.43 (^[B: $i, A: $i, C: $i] : rewrite((((~organization(A)) | (~(external_ties(A, B) = external_ties(A, C)))) | (position(A, B) = position(A, C))) <=> ((~organization(A)) | (position(A, B) = position(A, C)) | (~(external_ties(A, B) = external_ties(A, C)))))),
% 0.20/0.43 inference(bind,[status(th)],[])).
% 0.20/0.43 tff(159,plain,
% 0.20/0.43 (![B: $i, A: $i, C: $i] : (((~organization(A)) | (~(external_ties(A, B) = external_ties(A, C)))) | (position(A, B) = position(A, C))) <=> ![B: $i, A: $i, C: $i] : ((~organization(A)) | (position(A, B) = position(A, C)) | (~(external_ties(A, B) = external_ties(A, C))))),
% 0.20/0.43 inference(quant_intro,[status(thm)],[158])).
% 0.20/0.43 tff(160,axiom,(![B: $i, A: $i, C: $i] : (((~organization(A)) | (~(external_ties(A, B) = external_ties(A, C)))) | (position(A, B) = position(A, C)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','assumption_6_57')).
% 0.20/0.43 tff(161,plain,
% 0.20/0.43 (![B: $i, A: $i, C: $i] : ((~organization(A)) | (position(A, B) = position(A, C)) | (~(external_ties(A, B) = external_ties(A, C))))),
% 0.20/0.43 inference(modus_ponens,[status(thm)],[160, 159])).
% 0.20/0.43 tff(162,plain,
% 0.20/0.43 (![B: $i, A: $i, C: $i] : ((~organization(A)) | (position(A, B) = position(A, C)) | (~(external_ties(A, B) = external_ties(A, C))))),
% 0.20/0.43 inference(modus_ponens,[status(thm)],[161, 157])).
% 0.20/0.43 tff(163,plain,(
% 0.20/0.43 ![B: $i, A: $i, C: $i] : ((~organization(A)) | (position(A, B) = position(A, C)) | (~(external_ties(A, B) = external_ties(A, C))))),
% 0.20/0.43 inference(skolemize,[status(sab)],[162])).
% 0.20/0.43 tff(164,plain,
% 0.20/0.43 (![B: $i, A: $i, C: $i] : ((~organization(A)) | (position(A, B) = position(A, C)) | (~(external_ties(A, B) = external_ties(A, C))))),
% 0.20/0.43 inference(modus_ponens,[status(thm)],[163, 156])).
% 0.20/0.43 tff(165,plain,
% 0.20/0.43 (((~![B: $i, A: $i, C: $i] : ((~organization(A)) | (position(A, B) = position(A, C)) | (~(external_ties(A, B) = external_ties(A, C))))) | ((~organization(sk2)) | (position(sk2, sk5) = position(sk2, sk6)) | (~(external_ties(sk2, sk5) = external_ties(sk2, sk6))))) <=> ((~![B: $i, A: $i, C: $i] : ((~organization(A)) | (position(A, B) = position(A, C)) | (~(external_ties(A, B) = external_ties(A, C))))) | (~organization(sk2)) | (position(sk2, sk5) = position(sk2, sk6)) | (~(external_ties(sk2, sk5) = external_ties(sk2, sk6))))),
% 0.20/0.43 inference(rewrite,[status(thm)],[])).
% 0.20/0.43 tff(166,plain,
% 0.20/0.43 ((~![B: $i, A: $i, C: $i] : ((~organization(A)) | (position(A, B) = position(A, C)) | (~(external_ties(A, B) = external_ties(A, C))))) | ((~organization(sk2)) | (position(sk2, sk5) = position(sk2, sk6)) | (~(external_ties(sk2, sk5) = external_ties(sk2, sk6))))),
% 0.20/0.43 inference(quant_inst,[status(thm)],[])).
% 0.20/0.43 tff(167,plain,
% 0.20/0.43 ((~![B: $i, A: $i, C: $i] : ((~organization(A)) | (position(A, B) = position(A, C)) | (~(external_ties(A, B) = external_ties(A, C))))) | (~organization(sk2)) | (position(sk2, sk5) = position(sk2, sk6)) | (~(external_ties(sk2, sk5) = external_ties(sk2, sk6)))),
% 0.20/0.43 inference(modus_ponens,[status(thm)],[166, 165])).
% 0.20/0.43 tff(168,plain,
% 0.20/0.43 ($false),
% 0.20/0.43 inference(unit_resolution,[status(thm)],[167, 164, 140, 154, 153])).
% 0.20/0.43 tff(169,plain,(position(sk2, sk5) = position(sk2, sk6)), inference(lemma,lemma(discharge,[]))).
% 0.20/0.43 tff(170,plain,
% 0.20/0.43 (position(sk2, sk6) = position(sk2, sk5)),
% 0.20/0.43 inference(symmetry,[status(thm)],[169])).
% 0.20/0.43 tff(171,plain,
% 0.20/0.43 (greater_or_equal(position(sk2, sk6), position(sk2, sk6)) <=> greater_or_equal(position(sk2, sk5), position(sk2, sk6))),
% 0.20/0.43 inference(monotonicity,[status(thm)],[170])).
% 0.20/0.43 tff(172,plain,
% 0.20/0.43 (greater_or_equal(position(sk2, sk5), position(sk2, sk6)) <=> greater_or_equal(position(sk2, sk6), position(sk2, sk6))),
% 0.20/0.43 inference(symmetry,[status(thm)],[171])).
% 0.20/0.43 tff(173,plain,
% 0.20/0.43 ((~greater_or_equal(position(sk2, sk5), position(sk2, sk6))) <=> (~greater_or_equal(position(sk2, sk6), position(sk2, sk6)))),
% 0.20/0.44 inference(monotonicity,[status(thm)],[172])).
% 0.20/0.44 tff(174,assumption,(~greater_or_equal(position(sk2, sk5), position(sk2, sk6))), introduced(assumption)).
% 0.20/0.44 tff(175,plain,
% 0.20/0.44 (~greater_or_equal(position(sk2, sk6), position(sk2, sk6))),
% 0.20/0.44 inference(modus_ponens,[status(thm)],[174, 173])).
% 0.20/0.44 tff(176,plain,
% 0.20/0.44 (^[B: $i, A: $i] : refl(((~(A = B)) | greater_or_equal(A, B)) <=> ((~(A = B)) | greater_or_equal(A, B)))),
% 0.20/0.44 inference(bind,[status(th)],[])).
% 0.20/0.44 tff(177,plain,
% 0.20/0.44 (![B: $i, A: $i] : ((~(A = B)) | greater_or_equal(A, B)) <=> ![B: $i, A: $i] : ((~(A = B)) | greater_or_equal(A, B))),
% 0.20/0.44 inference(quant_intro,[status(thm)],[176])).
% 0.20/0.44 tff(178,plain,
% 0.20/0.44 (![B: $i, A: $i] : ((~(A = B)) | greater_or_equal(A, B)) <=> ![B: $i, A: $i] : ((~(A = B)) | greater_or_equal(A, B))),
% 0.20/0.44 inference(rewrite,[status(thm)],[])).
% 0.20/0.44 tff(179,axiom,(![B: $i, A: $i] : ((~(A = B)) | greater_or_equal(A, B))), file('/export/starexec/sandbox2/benchmark/Axioms/MGT001-0.ax','definition_greater_or_equal_6')).
% 0.20/0.44 tff(180,plain,
% 0.20/0.44 (![B: $i, A: $i] : ((~(A = B)) | greater_or_equal(A, B))),
% 0.20/0.44 inference(modus_ponens,[status(thm)],[179, 178])).
% 0.20/0.44 tff(181,plain,(
% 0.20/0.44 ![B: $i, A: $i] : ((~(A = B)) | greater_or_equal(A, B))),
% 0.20/0.44 inference(skolemize,[status(sab)],[180])).
% 0.20/0.44 tff(182,plain,
% 0.20/0.44 (![B: $i, A: $i] : ((~(A = B)) | greater_or_equal(A, B))),
% 0.20/0.44 inference(modus_ponens,[status(thm)],[181, 177])).
% 0.20/0.44 tff(183,plain,
% 0.20/0.44 (((~![B: $i, A: $i] : ((~(A = B)) | greater_or_equal(A, B))) | greater_or_equal(position(sk2, sk6), position(sk2, sk6))) <=> ((~![B: $i, A: $i] : ((~(A = B)) | greater_or_equal(A, B))) | greater_or_equal(position(sk2, sk6), position(sk2, sk6)))),
% 0.20/0.44 inference(rewrite,[status(thm)],[])).
% 0.20/0.44 tff(184,plain,
% 0.20/0.44 (($false | greater_or_equal(position(sk2, sk6), position(sk2, sk6))) <=> greater_or_equal(position(sk2, sk6), position(sk2, sk6))),
% 0.20/0.44 inference(rewrite,[status(thm)],[])).
% 0.20/0.44 tff(185,plain,
% 0.20/0.44 ((~$true) <=> $false),
% 0.20/0.44 inference(rewrite,[status(thm)],[])).
% 0.20/0.44 tff(186,plain,
% 0.20/0.44 ((position(sk2, sk6) = position(sk2, sk6)) <=> $true),
% 0.20/0.44 inference(rewrite,[status(thm)],[])).
% 0.20/0.44 tff(187,plain,
% 0.20/0.44 ((~(position(sk2, sk6) = position(sk2, sk6))) <=> (~$true)),
% 0.20/0.44 inference(monotonicity,[status(thm)],[186])).
% 0.20/0.44 tff(188,plain,
% 0.20/0.44 ((~(position(sk2, sk6) = position(sk2, sk6))) <=> $false),
% 0.20/0.44 inference(transitivity,[status(thm)],[187, 185])).
% 0.20/0.44 tff(189,plain,
% 0.20/0.44 (((~(position(sk2, sk6) = position(sk2, sk6))) | greater_or_equal(position(sk2, sk6), position(sk2, sk6))) <=> ($false | greater_or_equal(position(sk2, sk6), position(sk2, sk6)))),
% 0.20/0.44 inference(monotonicity,[status(thm)],[188])).
% 0.20/0.44 tff(190,plain,
% 0.20/0.44 (((~(position(sk2, sk6) = position(sk2, sk6))) | greater_or_equal(position(sk2, sk6), position(sk2, sk6))) <=> greater_or_equal(position(sk2, sk6), position(sk2, sk6))),
% 0.20/0.44 inference(transitivity,[status(thm)],[189, 184])).
% 0.20/0.44 tff(191,plain,
% 0.20/0.44 (((~![B: $i, A: $i] : ((~(A = B)) | greater_or_equal(A, B))) | ((~(position(sk2, sk6) = position(sk2, sk6))) | greater_or_equal(position(sk2, sk6), position(sk2, sk6)))) <=> ((~![B: $i, A: $i] : ((~(A = B)) | greater_or_equal(A, B))) | greater_or_equal(position(sk2, sk6), position(sk2, sk6)))),
% 0.20/0.44 inference(monotonicity,[status(thm)],[190])).
% 0.20/0.44 tff(192,plain,
% 0.20/0.44 (((~![B: $i, A: $i] : ((~(A = B)) | greater_or_equal(A, B))) | ((~(position(sk2, sk6) = position(sk2, sk6))) | greater_or_equal(position(sk2, sk6), position(sk2, sk6)))) <=> ((~![B: $i, A: $i] : ((~(A = B)) | greater_or_equal(A, B))) | greater_or_equal(position(sk2, sk6), position(sk2, sk6)))),
% 0.20/0.44 inference(transitivity,[status(thm)],[191, 183])).
% 0.20/0.44 tff(193,plain,
% 0.20/0.44 ((~![B: $i, A: $i] : ((~(A = B)) | greater_or_equal(A, B))) | ((~(position(sk2, sk6) = position(sk2, sk6))) | greater_or_equal(position(sk2, sk6), position(sk2, sk6)))),
% 0.20/0.44 inference(quant_inst,[status(thm)],[])).
% 0.20/0.44 tff(194,plain,
% 0.20/0.44 ((~![B: $i, A: $i] : ((~(A = B)) | greater_or_equal(A, B))) | greater_or_equal(position(sk2, sk6), position(sk2, sk6))),
% 0.20/0.44 inference(modus_ponens,[status(thm)],[193, 192])).
% 0.20/0.44 tff(195,plain,
% 0.20/0.44 (greater_or_equal(position(sk2, sk6), position(sk2, sk6))),
% 0.20/0.44 inference(unit_resolution,[status(thm)],[194, 182])).
% 0.20/0.44 tff(196,plain,
% 0.20/0.44 ($false),
% 0.20/0.44 inference(unit_resolution,[status(thm)],[195, 175])).
% 0.20/0.44 tff(197,plain,(greater_or_equal(position(sk2, sk5), position(sk2, sk6))), inference(lemma,lemma(discharge,[]))).
% 0.20/0.44 tff(198,plain,
% 0.20/0.44 (^[B: $i, A: $i, C: $i] : refl(((~organization(A)) | (stock_of_knowledge(A, B) = stock_of_knowledge(A, C))) <=> ((~organization(A)) | (stock_of_knowledge(A, B) = stock_of_knowledge(A, C))))),
% 0.20/0.44 inference(bind,[status(th)],[])).
% 0.20/0.44 tff(199,plain,
% 0.20/0.44 (![B: $i, A: $i, C: $i] : ((~organization(A)) | (stock_of_knowledge(A, B) = stock_of_knowledge(A, C))) <=> ![B: $i, A: $i, C: $i] : ((~organization(A)) | (stock_of_knowledge(A, B) = stock_of_knowledge(A, C)))),
% 0.20/0.44 inference(quant_intro,[status(thm)],[198])).
% 0.20/0.44 tff(200,plain,
% 0.20/0.44 (![B: $i, A: $i, C: $i] : ((~organization(A)) | (stock_of_knowledge(A, B) = stock_of_knowledge(A, C))) <=> ![B: $i, A: $i, C: $i] : ((~organization(A)) | (stock_of_knowledge(A, B) = stock_of_knowledge(A, C)))),
% 0.20/0.44 inference(rewrite,[status(thm)],[])).
% 0.20/0.44 tff(201,axiom,(![B: $i, A: $i, C: $i] : ((~organization(A)) | (stock_of_knowledge(A, B) = stock_of_knowledge(A, C)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','assumption_10_58')).
% 0.20/0.44 tff(202,plain,
% 0.20/0.44 (![B: $i, A: $i, C: $i] : ((~organization(A)) | (stock_of_knowledge(A, B) = stock_of_knowledge(A, C)))),
% 0.20/0.44 inference(modus_ponens,[status(thm)],[201, 200])).
% 0.20/0.44 tff(203,plain,(
% 0.20/0.44 ![B: $i, A: $i, C: $i] : ((~organization(A)) | (stock_of_knowledge(A, B) = stock_of_knowledge(A, C)))),
% 0.20/0.44 inference(skolemize,[status(sab)],[202])).
% 0.20/0.44 tff(204,plain,
% 0.20/0.44 (![B: $i, A: $i, C: $i] : ((~organization(A)) | (stock_of_knowledge(A, B) = stock_of_knowledge(A, C)))),
% 0.20/0.44 inference(modus_ponens,[status(thm)],[203, 199])).
% 0.20/0.44 tff(205,plain,
% 0.20/0.44 (((~![B: $i, A: $i, C: $i] : ((~organization(A)) | (stock_of_knowledge(A, B) = stock_of_knowledge(A, C)))) | ((~organization(sk2)) | (stock_of_knowledge(sk2, sk6) = stock_of_knowledge(sk2, sk5)))) <=> ((~![B: $i, A: $i, C: $i] : ((~organization(A)) | (stock_of_knowledge(A, B) = stock_of_knowledge(A, C)))) | (~organization(sk2)) | (stock_of_knowledge(sk2, sk6) = stock_of_knowledge(sk2, sk5)))),
% 0.20/0.44 inference(rewrite,[status(thm)],[])).
% 0.20/0.44 tff(206,plain,
% 0.20/0.44 ((~![B: $i, A: $i, C: $i] : ((~organization(A)) | (stock_of_knowledge(A, B) = stock_of_knowledge(A, C)))) | ((~organization(sk2)) | (stock_of_knowledge(sk2, sk6) = stock_of_knowledge(sk2, sk5)))),
% 0.20/0.44 inference(quant_inst,[status(thm)],[])).
% 0.20/0.44 tff(207,plain,
% 0.20/0.44 ((~![B: $i, A: $i, C: $i] : ((~organization(A)) | (stock_of_knowledge(A, B) = stock_of_knowledge(A, C)))) | (~organization(sk2)) | (stock_of_knowledge(sk2, sk6) = stock_of_knowledge(sk2, sk5))),
% 0.20/0.44 inference(modus_ponens,[status(thm)],[206, 205])).
% 0.20/0.44 tff(208,plain,
% 0.20/0.44 (stock_of_knowledge(sk2, sk6) = stock_of_knowledge(sk2, sk5)),
% 0.20/0.44 inference(unit_resolution,[status(thm)],[207, 204, 140])).
% 0.20/0.44 tff(209,plain,
% 0.20/0.44 (stock_of_knowledge(sk2, sk5) = stock_of_knowledge(sk2, sk6)),
% 0.20/0.44 inference(symmetry,[status(thm)],[208])).
% 0.20/0.44 tff(210,plain,
% 0.20/0.44 (smaller_or_equal(stock_of_knowledge(sk2, sk5), stock_of_knowledge(sk2, sk5)) <=> smaller_or_equal(stock_of_knowledge(sk2, sk6), stock_of_knowledge(sk2, sk5))),
% 0.20/0.44 inference(monotonicity,[status(thm)],[209])).
% 0.20/0.44 tff(211,plain,
% 0.20/0.44 (smaller_or_equal(stock_of_knowledge(sk2, sk6), stock_of_knowledge(sk2, sk5)) <=> smaller_or_equal(stock_of_knowledge(sk2, sk5), stock_of_knowledge(sk2, sk5))),
% 0.20/0.44 inference(symmetry,[status(thm)],[210])).
% 0.20/0.44 tff(212,plain,
% 0.20/0.44 ((~smaller_or_equal(stock_of_knowledge(sk2, sk6), stock_of_knowledge(sk2, sk5))) <=> (~smaller_or_equal(stock_of_knowledge(sk2, sk5), stock_of_knowledge(sk2, sk5)))),
% 0.20/0.44 inference(monotonicity,[status(thm)],[211])).
% 0.20/0.44 tff(213,assumption,(~smaller(capability(sk2, sk6), capability(sk2, sk5))), introduced(assumption)).
% 0.20/0.44 tff(214,plain,
% 0.20/0.44 (greater(age(sk2, sk6), age(sk2, sk5)) <=> greater(age(sk2, sk6), age(sk2, sk5))),
% 0.20/0.44 inference(rewrite,[status(thm)],[])).
% 0.20/0.44 tff(215,axiom,(greater(age(sk2, sk6), age(sk2, sk5))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','theorem_4_66')).
% 0.20/0.44 tff(216,plain,
% 0.20/0.44 (greater(age(sk2, sk6), age(sk2, sk5))),
% 0.20/0.44 inference(modus_ponens,[status(thm)],[215, 214])).
% 0.20/0.44 tff(217,plain,
% 0.20/0.44 (^[B: $i, A: $i, C: $i] : refl(((~organization(A)) | greater(internal_friction(A, B), internal_friction(A, C)) | (~greater(age(A, B), age(A, C)))) <=> ((~organization(A)) | greater(internal_friction(A, B), internal_friction(A, C)) | (~greater(age(A, B), age(A, C)))))),
% 0.20/0.44 inference(bind,[status(th)],[])).
% 0.20/0.44 tff(218,plain,
% 0.20/0.44 (![B: $i, A: $i, C: $i] : ((~organization(A)) | greater(internal_friction(A, B), internal_friction(A, C)) | (~greater(age(A, B), age(A, C)))) <=> ![B: $i, A: $i, C: $i] : ((~organization(A)) | greater(internal_friction(A, B), internal_friction(A, C)) | (~greater(age(A, B), age(A, C))))),
% 0.20/0.44 inference(quant_intro,[status(thm)],[217])).
% 0.20/0.44 tff(219,plain,
% 0.20/0.44 (![B: $i, A: $i, C: $i] : ((~organization(A)) | greater(internal_friction(A, B), internal_friction(A, C)) | (~greater(age(A, B), age(A, C)))) <=> ![B: $i, A: $i, C: $i] : ((~organization(A)) | greater(internal_friction(A, B), internal_friction(A, C)) | (~greater(age(A, B), age(A, C))))),
% 0.20/0.44 inference(rewrite,[status(thm)],[])).
% 0.20/0.44 tff(220,plain,
% 0.20/0.44 (^[B: $i, A: $i, C: $i] : rewrite((((~organization(A)) | (~greater(age(A, B), age(A, C)))) | greater(internal_friction(A, B), internal_friction(A, C))) <=> ((~organization(A)) | greater(internal_friction(A, B), internal_friction(A, C)) | (~greater(age(A, B), age(A, C)))))),
% 0.20/0.44 inference(bind,[status(th)],[])).
% 0.20/0.44 tff(221,plain,
% 0.20/0.44 (![B: $i, A: $i, C: $i] : (((~organization(A)) | (~greater(age(A, B), age(A, C)))) | greater(internal_friction(A, B), internal_friction(A, C))) <=> ![B: $i, A: $i, C: $i] : ((~organization(A)) | greater(internal_friction(A, B), internal_friction(A, C)) | (~greater(age(A, B), age(A, C))))),
% 0.20/0.44 inference(quant_intro,[status(thm)],[220])).
% 0.20/0.44 tff(222,axiom,(![B: $i, A: $i, C: $i] : (((~organization(A)) | (~greater(age(A, B), age(A, C)))) | greater(internal_friction(A, B), internal_friction(A, C)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','assumption_12_60')).
% 0.20/0.44 tff(223,plain,
% 0.20/0.44 (![B: $i, A: $i, C: $i] : ((~organization(A)) | greater(internal_friction(A, B), internal_friction(A, C)) | (~greater(age(A, B), age(A, C))))),
% 0.20/0.44 inference(modus_ponens,[status(thm)],[222, 221])).
% 0.20/0.44 tff(224,plain,
% 0.20/0.44 (![B: $i, A: $i, C: $i] : ((~organization(A)) | greater(internal_friction(A, B), internal_friction(A, C)) | (~greater(age(A, B), age(A, C))))),
% 0.20/0.44 inference(modus_ponens,[status(thm)],[223, 219])).
% 0.20/0.44 tff(225,plain,(
% 0.20/0.44 ![B: $i, A: $i, C: $i] : ((~organization(A)) | greater(internal_friction(A, B), internal_friction(A, C)) | (~greater(age(A, B), age(A, C))))),
% 0.20/0.44 inference(skolemize,[status(sab)],[224])).
% 0.20/0.44 tff(226,plain,
% 0.20/0.44 (![B: $i, A: $i, C: $i] : ((~organization(A)) | greater(internal_friction(A, B), internal_friction(A, C)) | (~greater(age(A, B), age(A, C))))),
% 0.20/0.44 inference(modus_ponens,[status(thm)],[225, 218])).
% 0.20/0.44 tff(227,plain,
% 0.20/0.44 (((~![B: $i, A: $i, C: $i] : ((~organization(A)) | greater(internal_friction(A, B), internal_friction(A, C)) | (~greater(age(A, B), age(A, C))))) | ((~organization(sk2)) | greater(internal_friction(sk2, sk6), internal_friction(sk2, sk5)) | (~greater(age(sk2, sk6), age(sk2, sk5))))) <=> ((~![B: $i, A: $i, C: $i] : ((~organization(A)) | greater(internal_friction(A, B), internal_friction(A, C)) | (~greater(age(A, B), age(A, C))))) | (~organization(sk2)) | greater(internal_friction(sk2, sk6), internal_friction(sk2, sk5)) | (~greater(age(sk2, sk6), age(sk2, sk5))))),
% 0.20/0.44 inference(rewrite,[status(thm)],[])).
% 0.20/0.44 tff(228,plain,
% 0.20/0.44 ((~![B: $i, A: $i, C: $i] : ((~organization(A)) | greater(internal_friction(A, B), internal_friction(A, C)) | (~greater(age(A, B), age(A, C))))) | ((~organization(sk2)) | greater(internal_friction(sk2, sk6), internal_friction(sk2, sk5)) | (~greater(age(sk2, sk6), age(sk2, sk5))))),
% 0.20/0.44 inference(quant_inst,[status(thm)],[])).
% 0.20/0.44 tff(229,plain,
% 0.20/0.44 ((~![B: $i, A: $i, C: $i] : ((~organization(A)) | greater(internal_friction(A, B), internal_friction(A, C)) | (~greater(age(A, B), age(A, C))))) | (~organization(sk2)) | greater(internal_friction(sk2, sk6), internal_friction(sk2, sk5)) | (~greater(age(sk2, sk6), age(sk2, sk5)))),
% 0.20/0.44 inference(modus_ponens,[status(thm)],[228, 227])).
% 0.20/0.44 tff(230,plain,
% 0.20/0.44 (greater(internal_friction(sk2, sk6), internal_friction(sk2, sk5))),
% 0.20/0.44 inference(unit_resolution,[status(thm)],[229, 226, 140, 216])).
% 0.20/0.44 tff(231,plain,
% 0.20/0.44 (^[B: $i, A: $i, C: $i] : refl(((~organization(A)) | smaller(capability(A, B), capability(A, C)) | (~greater(internal_friction(A, B), internal_friction(A, C))) | (~smaller_or_equal(stock_of_knowledge(A, B), stock_of_knowledge(A, C)))) <=> ((~organization(A)) | smaller(capability(A, B), capability(A, C)) | (~greater(internal_friction(A, B), internal_friction(A, C))) | (~smaller_or_equal(stock_of_knowledge(A, B), stock_of_knowledge(A, C)))))),
% 0.20/0.44 inference(bind,[status(th)],[])).
% 0.20/0.44 tff(232,plain,
% 0.20/0.44 (![B: $i, A: $i, C: $i] : ((~organization(A)) | smaller(capability(A, B), capability(A, C)) | (~greater(internal_friction(A, B), internal_friction(A, C))) | (~smaller_or_equal(stock_of_knowledge(A, B), stock_of_knowledge(A, C)))) <=> ![B: $i, A: $i, C: $i] : ((~organization(A)) | smaller(capability(A, B), capability(A, C)) | (~greater(internal_friction(A, B), internal_friction(A, C))) | (~smaller_or_equal(stock_of_knowledge(A, B), stock_of_knowledge(A, C))))),
% 0.20/0.44 inference(quant_intro,[status(thm)],[231])).
% 0.20/0.44 tff(233,plain,
% 0.20/0.44 (![B: $i, A: $i, C: $i] : ((~organization(A)) | smaller(capability(A, B), capability(A, C)) | (~greater(internal_friction(A, B), internal_friction(A, C))) | (~smaller_or_equal(stock_of_knowledge(A, B), stock_of_knowledge(A, C)))) <=> ![B: $i, A: $i, C: $i] : ((~organization(A)) | smaller(capability(A, B), capability(A, C)) | (~greater(internal_friction(A, B), internal_friction(A, C))) | (~smaller_or_equal(stock_of_knowledge(A, B), stock_of_knowledge(A, C))))),
% 0.20/0.44 inference(rewrite,[status(thm)],[])).
% 0.20/0.44 tff(234,plain,
% 0.20/0.44 (^[B: $i, A: $i, C: $i] : trans(monotonicity(rewrite((((~organization(A)) | (~smaller_or_equal(stock_of_knowledge(A, B), stock_of_knowledge(A, C)))) | (~greater(internal_friction(A, B), internal_friction(A, C)))) <=> ((~organization(A)) | (~greater(internal_friction(A, B), internal_friction(A, C))) | (~smaller_or_equal(stock_of_knowledge(A, B), stock_of_knowledge(A, C))))), (((((~organization(A)) | (~smaller_or_equal(stock_of_knowledge(A, B), stock_of_knowledge(A, C)))) | (~greater(internal_friction(A, B), internal_friction(A, C)))) | smaller(capability(A, B), capability(A, C))) <=> (((~organization(A)) | (~greater(internal_friction(A, B), internal_friction(A, C))) | (~smaller_or_equal(stock_of_knowledge(A, B), stock_of_knowledge(A, C)))) | smaller(capability(A, B), capability(A, C))))), rewrite((((~organization(A)) | (~greater(internal_friction(A, B), internal_friction(A, C))) | (~smaller_or_equal(stock_of_knowledge(A, B), stock_of_knowledge(A, C)))) | smaller(capability(A, B), capability(A, C))) <=> ((~organization(A)) | smaller(capability(A, B), capability(A, C)) | (~greater(internal_friction(A, B), internal_friction(A, C))) | (~smaller_or_equal(stock_of_knowledge(A, B), stock_of_knowledge(A, C))))), (((((~organization(A)) | (~smaller_or_equal(stock_of_knowledge(A, B), stock_of_knowledge(A, C)))) | (~greater(internal_friction(A, B), internal_friction(A, C)))) | smaller(capability(A, B), capability(A, C))) <=> ((~organization(A)) | smaller(capability(A, B), capability(A, C)) | (~greater(internal_friction(A, B), internal_friction(A, C))) | (~smaller_or_equal(stock_of_knowledge(A, B), stock_of_knowledge(A, C))))))),
% 0.20/0.44 inference(bind,[status(th)],[])).
% 0.20/0.44 tff(235,plain,
% 0.20/0.44 (![B: $i, A: $i, C: $i] : ((((~organization(A)) | (~smaller_or_equal(stock_of_knowledge(A, B), stock_of_knowledge(A, C)))) | (~greater(internal_friction(A, B), internal_friction(A, C)))) | smaller(capability(A, B), capability(A, C))) <=> ![B: $i, A: $i, C: $i] : ((~organization(A)) | smaller(capability(A, B), capability(A, C)) | (~greater(internal_friction(A, B), internal_friction(A, C))) | (~smaller_or_equal(stock_of_knowledge(A, B), stock_of_knowledge(A, C))))),
% 0.20/0.44 inference(quant_intro,[status(thm)],[234])).
% 0.20/0.44 tff(236,axiom,(![B: $i, A: $i, C: $i] : ((((~organization(A)) | (~smaller_or_equal(stock_of_knowledge(A, B), stock_of_knowledge(A, C)))) | (~greater(internal_friction(A, B), internal_friction(A, C)))) | smaller(capability(A, B), capability(A, C)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','assumption_5_54')).
% 0.20/0.44 tff(237,plain,
% 0.20/0.44 (![B: $i, A: $i, C: $i] : ((~organization(A)) | smaller(capability(A, B), capability(A, C)) | (~greater(internal_friction(A, B), internal_friction(A, C))) | (~smaller_or_equal(stock_of_knowledge(A, B), stock_of_knowledge(A, C))))),
% 0.20/0.44 inference(modus_ponens,[status(thm)],[236, 235])).
% 0.20/0.44 tff(238,plain,
% 0.20/0.44 (![B: $i, A: $i, C: $i] : ((~organization(A)) | smaller(capability(A, B), capability(A, C)) | (~greater(internal_friction(A, B), internal_friction(A, C))) | (~smaller_or_equal(stock_of_knowledge(A, B), stock_of_knowledge(A, C))))),
% 0.20/0.44 inference(modus_ponens,[status(thm)],[237, 233])).
% 0.20/0.44 tff(239,plain,(
% 0.20/0.44 ![B: $i, A: $i, C: $i] : ((~organization(A)) | smaller(capability(A, B), capability(A, C)) | (~greater(internal_friction(A, B), internal_friction(A, C))) | (~smaller_or_equal(stock_of_knowledge(A, B), stock_of_knowledge(A, C))))),
% 0.20/0.44 inference(skolemize,[status(sab)],[238])).
% 0.20/0.44 tff(240,plain,
% 0.20/0.44 (![B: $i, A: $i, C: $i] : ((~organization(A)) | smaller(capability(A, B), capability(A, C)) | (~greater(internal_friction(A, B), internal_friction(A, C))) | (~smaller_or_equal(stock_of_knowledge(A, B), stock_of_knowledge(A, C))))),
% 0.20/0.44 inference(modus_ponens,[status(thm)],[239, 232])).
% 0.20/0.44 tff(241,plain,
% 0.20/0.44 (((~![B: $i, A: $i, C: $i] : ((~organization(A)) | smaller(capability(A, B), capability(A, C)) | (~greater(internal_friction(A, B), internal_friction(A, C))) | (~smaller_or_equal(stock_of_knowledge(A, B), stock_of_knowledge(A, C))))) | ((~organization(sk2)) | smaller(capability(sk2, sk6), capability(sk2, sk5)) | (~greater(internal_friction(sk2, sk6), internal_friction(sk2, sk5))) | (~smaller_or_equal(stock_of_knowledge(sk2, sk6), stock_of_knowledge(sk2, sk5))))) <=> ((~![B: $i, A: $i, C: $i] : ((~organization(A)) | smaller(capability(A, B), capability(A, C)) | (~greater(internal_friction(A, B), internal_friction(A, C))) | (~smaller_or_equal(stock_of_knowledge(A, B), stock_of_knowledge(A, C))))) | (~organization(sk2)) | smaller(capability(sk2, sk6), capability(sk2, sk5)) | (~greater(internal_friction(sk2, sk6), internal_friction(sk2, sk5))) | (~smaller_or_equal(stock_of_knowledge(sk2, sk6), stock_of_knowledge(sk2, sk5))))),
% 0.20/0.44 inference(rewrite,[status(thm)],[])).
% 0.20/0.44 tff(242,plain,
% 0.20/0.44 ((~![B: $i, A: $i, C: $i] : ((~organization(A)) | smaller(capability(A, B), capability(A, C)) | (~greater(internal_friction(A, B), internal_friction(A, C))) | (~smaller_or_equal(stock_of_knowledge(A, B), stock_of_knowledge(A, C))))) | ((~organization(sk2)) | smaller(capability(sk2, sk6), capability(sk2, sk5)) | (~greater(internal_friction(sk2, sk6), internal_friction(sk2, sk5))) | (~smaller_or_equal(stock_of_knowledge(sk2, sk6), stock_of_knowledge(sk2, sk5))))),
% 0.20/0.44 inference(quant_inst,[status(thm)],[])).
% 0.20/0.44 tff(243,plain,
% 0.20/0.44 ((~![B: $i, A: $i, C: $i] : ((~organization(A)) | smaller(capability(A, B), capability(A, C)) | (~greater(internal_friction(A, B), internal_friction(A, C))) | (~smaller_or_equal(stock_of_knowledge(A, B), stock_of_knowledge(A, C))))) | (~organization(sk2)) | smaller(capability(sk2, sk6), capability(sk2, sk5)) | (~greater(internal_friction(sk2, sk6), internal_friction(sk2, sk5))) | (~smaller_or_equal(stock_of_knowledge(sk2, sk6), stock_of_knowledge(sk2, sk5)))),
% 0.20/0.44 inference(modus_ponens,[status(thm)],[242, 241])).
% 0.20/0.44 tff(244,plain,
% 0.20/0.44 (smaller(capability(sk2, sk6), capability(sk2, sk5)) | (~smaller_or_equal(stock_of_knowledge(sk2, sk6), stock_of_knowledge(sk2, sk5)))),
% 0.20/0.44 inference(unit_resolution,[status(thm)],[243, 240, 140, 230])).
% 0.20/0.44 tff(245,plain,
% 0.20/0.44 (~smaller_or_equal(stock_of_knowledge(sk2, sk6), stock_of_knowledge(sk2, sk5))),
% 0.20/0.44 inference(unit_resolution,[status(thm)],[244, 213])).
% 0.20/0.44 tff(246,plain,
% 0.20/0.45 (~smaller_or_equal(stock_of_knowledge(sk2, sk5), stock_of_knowledge(sk2, sk5))),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[245, 212])).
% 0.20/0.45 tff(247,plain,
% 0.20/0.45 (((~![B: $i, A: $i] : ((~(A = B)) | smaller_or_equal(A, B))) | smaller_or_equal(stock_of_knowledge(sk2, sk5), stock_of_knowledge(sk2, sk5))) <=> ((~![B: $i, A: $i] : ((~(A = B)) | smaller_or_equal(A, B))) | smaller_or_equal(stock_of_knowledge(sk2, sk5), stock_of_knowledge(sk2, sk5)))),
% 0.20/0.45 inference(rewrite,[status(thm)],[])).
% 0.20/0.45 tff(248,plain,
% 0.20/0.45 (($false | smaller_or_equal(stock_of_knowledge(sk2, sk5), stock_of_knowledge(sk2, sk5))) <=> smaller_or_equal(stock_of_knowledge(sk2, sk5), stock_of_knowledge(sk2, sk5))),
% 0.20/0.45 inference(rewrite,[status(thm)],[])).
% 0.20/0.45 tff(249,plain,
% 0.20/0.45 ((stock_of_knowledge(sk2, sk5) = stock_of_knowledge(sk2, sk5)) <=> $true),
% 0.20/0.45 inference(rewrite,[status(thm)],[])).
% 0.20/0.45 tff(250,plain,
% 0.20/0.45 ((~(stock_of_knowledge(sk2, sk5) = stock_of_knowledge(sk2, sk5))) <=> (~$true)),
% 0.20/0.45 inference(monotonicity,[status(thm)],[249])).
% 0.20/0.45 tff(251,plain,
% 0.20/0.45 ((~(stock_of_knowledge(sk2, sk5) = stock_of_knowledge(sk2, sk5))) <=> $false),
% 0.20/0.45 inference(transitivity,[status(thm)],[250, 185])).
% 0.20/0.45 tff(252,plain,
% 0.20/0.45 (((~(stock_of_knowledge(sk2, sk5) = stock_of_knowledge(sk2, sk5))) | smaller_or_equal(stock_of_knowledge(sk2, sk5), stock_of_knowledge(sk2, sk5))) <=> ($false | smaller_or_equal(stock_of_knowledge(sk2, sk5), stock_of_knowledge(sk2, sk5)))),
% 0.20/0.45 inference(monotonicity,[status(thm)],[251])).
% 0.20/0.45 tff(253,plain,
% 0.20/0.45 (((~(stock_of_knowledge(sk2, sk5) = stock_of_knowledge(sk2, sk5))) | smaller_or_equal(stock_of_knowledge(sk2, sk5), stock_of_knowledge(sk2, sk5))) <=> smaller_or_equal(stock_of_knowledge(sk2, sk5), stock_of_knowledge(sk2, sk5))),
% 0.20/0.45 inference(transitivity,[status(thm)],[252, 248])).
% 0.20/0.45 tff(254,plain,
% 0.20/0.45 (((~![B: $i, A: $i] : ((~(A = B)) | smaller_or_equal(A, B))) | ((~(stock_of_knowledge(sk2, sk5) = stock_of_knowledge(sk2, sk5))) | smaller_or_equal(stock_of_knowledge(sk2, sk5), stock_of_knowledge(sk2, sk5)))) <=> ((~![B: $i, A: $i] : ((~(A = B)) | smaller_or_equal(A, B))) | smaller_or_equal(stock_of_knowledge(sk2, sk5), stock_of_knowledge(sk2, sk5)))),
% 0.20/0.45 inference(monotonicity,[status(thm)],[253])).
% 0.20/0.45 tff(255,plain,
% 0.20/0.45 (((~![B: $i, A: $i] : ((~(A = B)) | smaller_or_equal(A, B))) | ((~(stock_of_knowledge(sk2, sk5) = stock_of_knowledge(sk2, sk5))) | smaller_or_equal(stock_of_knowledge(sk2, sk5), stock_of_knowledge(sk2, sk5)))) <=> ((~![B: $i, A: $i] : ((~(A = B)) | smaller_or_equal(A, B))) | smaller_or_equal(stock_of_knowledge(sk2, sk5), stock_of_knowledge(sk2, sk5)))),
% 0.20/0.45 inference(transitivity,[status(thm)],[254, 247])).
% 0.20/0.45 tff(256,plain,
% 0.20/0.45 ((~![B: $i, A: $i] : ((~(A = B)) | smaller_or_equal(A, B))) | ((~(stock_of_knowledge(sk2, sk5) = stock_of_knowledge(sk2, sk5))) | smaller_or_equal(stock_of_knowledge(sk2, sk5), stock_of_knowledge(sk2, sk5)))),
% 0.20/0.45 inference(quant_inst,[status(thm)],[])).
% 0.20/0.45 tff(257,plain,
% 0.20/0.45 ((~![B: $i, A: $i] : ((~(A = B)) | smaller_or_equal(A, B))) | smaller_or_equal(stock_of_knowledge(sk2, sk5), stock_of_knowledge(sk2, sk5))),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[256, 255])).
% 0.20/0.45 tff(258,plain,
% 0.20/0.45 (smaller_or_equal(stock_of_knowledge(sk2, sk5), stock_of_knowledge(sk2, sk5))),
% 0.20/0.45 inference(unit_resolution,[status(thm)],[257, 42])).
% 0.20/0.45 tff(259,plain,
% 0.20/0.45 ($false),
% 0.20/0.45 inference(unit_resolution,[status(thm)],[258, 246])).
% 0.20/0.45 tff(260,plain,(smaller(capability(sk2, sk6), capability(sk2, sk5))), inference(lemma,lemma(discharge,[]))).
% 0.20/0.45 tff(261,plain,
% 0.20/0.45 (((~![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))) | ((~smaller(capability(sk2, sk6), capability(sk2, sk5))) | greater(capability(sk2, sk5), capability(sk2, sk6)))) <=> ((~![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))) | (~smaller(capability(sk2, sk6), capability(sk2, sk5))) | greater(capability(sk2, sk5), capability(sk2, sk6)))),
% 0.20/0.45 inference(rewrite,[status(thm)],[])).
% 0.20/0.45 tff(262,plain,
% 0.20/0.45 ((~![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))) | ((~smaller(capability(sk2, sk6), capability(sk2, sk5))) | greater(capability(sk2, sk5), capability(sk2, sk6)))),
% 0.20/0.45 inference(quant_inst,[status(thm)],[])).
% 0.20/0.45 tff(263,plain,
% 0.20/0.45 ((~![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))) | (~smaller(capability(sk2, sk6), capability(sk2, sk5))) | greater(capability(sk2, sk5), capability(sk2, sk6))),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[262, 261])).
% 0.20/0.45 tff(264,plain,
% 0.20/0.45 (greater(capability(sk2, sk5), capability(sk2, sk6))),
% 0.20/0.45 inference(unit_resolution,[status(thm)],[263, 104, 260])).
% 0.20/0.45 tff(265,plain,
% 0.20/0.45 (greater(age(sk2, sk5), eta) <=> greater(age(sk2, sk5), eta)),
% 0.20/0.45 inference(rewrite,[status(thm)],[])).
% 0.20/0.45 tff(266,axiom,(greater(age(sk2, sk5), eta)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','theorem_4_65')).
% 0.20/0.45 tff(267,plain,
% 0.20/0.45 (greater(age(sk2, sk5), eta)),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[266, 265])).
% 0.20/0.45 tff(268,plain,
% 0.20/0.45 (((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | ((~greater(age(sk2, sk5), eta)) | (~greater(age(sk2, sk6), age(sk2, sk5))) | greater(age(sk2, sk6), eta))) <=> ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (~greater(age(sk2, sk5), eta)) | (~greater(age(sk2, sk6), age(sk2, sk5))) | greater(age(sk2, sk6), eta))),
% 0.20/0.45 inference(rewrite,[status(thm)],[])).
% 0.20/0.45 tff(269,plain,
% 0.20/0.45 ((greater(age(sk2, sk6), eta) | (~greater(age(sk2, sk5), eta)) | (~greater(age(sk2, sk6), age(sk2, sk5)))) <=> ((~greater(age(sk2, sk5), eta)) | (~greater(age(sk2, sk6), age(sk2, sk5))) | greater(age(sk2, sk6), eta))),
% 0.20/0.45 inference(rewrite,[status(thm)],[])).
% 0.20/0.45 tff(270,plain,
% 0.20/0.45 (((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(age(sk2, sk6), eta) | (~greater(age(sk2, sk5), eta)) | (~greater(age(sk2, sk6), age(sk2, sk5))))) <=> ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | ((~greater(age(sk2, sk5), eta)) | (~greater(age(sk2, sk6), age(sk2, sk5))) | greater(age(sk2, sk6), eta)))),
% 0.20/0.45 inference(monotonicity,[status(thm)],[269])).
% 0.20/0.45 tff(271,plain,
% 0.20/0.45 (((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(age(sk2, sk6), eta) | (~greater(age(sk2, sk5), eta)) | (~greater(age(sk2, sk6), age(sk2, sk5))))) <=> ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (~greater(age(sk2, sk5), eta)) | (~greater(age(sk2, sk6), age(sk2, sk5))) | greater(age(sk2, sk6), eta))),
% 0.20/0.45 inference(transitivity,[status(thm)],[270, 268])).
% 0.20/0.45 tff(272,plain,
% 0.20/0.45 ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(age(sk2, sk6), eta) | (~greater(age(sk2, sk5), eta)) | (~greater(age(sk2, sk6), age(sk2, sk5))))),
% 0.20/0.45 inference(quant_inst,[status(thm)],[])).
% 0.20/0.45 tff(273,plain,
% 0.20/0.45 ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (~greater(age(sk2, sk5), eta)) | (~greater(age(sk2, sk6), age(sk2, sk5))) | greater(age(sk2, sk6), eta)),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[272, 271])).
% 0.20/0.45 tff(274,plain,
% 0.20/0.45 (greater(age(sk2, sk6), eta)),
% 0.20/0.45 inference(unit_resolution,[status(thm)],[273, 88, 267, 216])).
% 0.20/0.45 tff(275,plain,
% 0.20/0.45 (((~![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)))),
% 0.20/0.45 inference(rewrite,[status(thm)],[])).
% 0.20/0.45 tff(276,plain,
% 0.20/0.45 ((~![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)))),
% 0.20/0.45 inference(quant_inst,[status(thm)],[])).
% 0.20/0.45 tff(277,plain,
% 0.20/0.45 ((~![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))),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[276, 275])).
% 0.20/0.45 tff(278,plain,
% 0.20/0.45 (~has_immunity(sk2, sk6)),
% 0.20/0.45 inference(unit_resolution,[status(thm)],[277, 74, 6, 274])).
% 0.20/0.45 tff(279,plain,
% 0.20/0.45 (((~![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)))),
% 0.20/0.45 inference(rewrite,[status(thm)],[])).
% 0.20/0.45 tff(280,plain,
% 0.20/0.45 ((~![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)))),
% 0.20/0.45 inference(quant_inst,[status(thm)],[])).
% 0.20/0.45 tff(281,plain,
% 0.20/0.45 ((~![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))),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[280, 279])).
% 0.20/0.45 tff(282,plain,
% 0.20/0.45 (~has_immunity(sk2, sk5)),
% 0.20/0.45 inference(unit_resolution,[status(thm)],[281, 74, 6, 267])).
% 0.20/0.45 tff(283,plain,
% 0.20/0.45 (^[B: $i, A: $i, C: $i] : refl((has_immunity(A, C) | has_immunity(A, B) | (~organization(A)) | smaller(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | (~greater_or_equal(position(A, C), position(A, B))) | (~greater(capability(A, C), capability(A, B)))) <=> (has_immunity(A, C) | has_immunity(A, B) | (~organization(A)) | smaller(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | (~greater_or_equal(position(A, C), position(A, B))) | (~greater(capability(A, C), capability(A, B)))))),
% 0.20/0.45 inference(bind,[status(th)],[])).
% 0.20/0.45 tff(284,plain,
% 0.20/0.45 (![B: $i, A: $i, C: $i] : (has_immunity(A, C) | has_immunity(A, B) | (~organization(A)) | smaller(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | (~greater_or_equal(position(A, C), position(A, B))) | (~greater(capability(A, C), capability(A, B)))) <=> ![B: $i, A: $i, C: $i] : (has_immunity(A, C) | has_immunity(A, B) | (~organization(A)) | smaller(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | (~greater_or_equal(position(A, C), position(A, B))) | (~greater(capability(A, C), capability(A, B))))),
% 0.20/0.45 inference(quant_intro,[status(thm)],[283])).
% 0.20/0.45 tff(285,plain,
% 0.20/0.45 (![B: $i, A: $i, C: $i] : (has_immunity(A, C) | has_immunity(A, B) | (~organization(A)) | smaller(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | (~greater_or_equal(position(A, C), position(A, B))) | (~greater(capability(A, C), capability(A, B)))) <=> ![B: $i, A: $i, C: $i] : (has_immunity(A, C) | has_immunity(A, B) | (~organization(A)) | smaller(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | (~greater_or_equal(position(A, C), position(A, B))) | (~greater(capability(A, C), capability(A, B))))),
% 0.20/0.45 inference(rewrite,[status(thm)],[])).
% 0.20/0.45 tff(286,plain,
% 0.20/0.45 (^[B: $i, A: $i, C: $i] : trans(monotonicity(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_or_equal(position(A, C), position(A, B)))) <=> ((has_immunity(A, C) | has_immunity(A, B) | (~organization(A)) | (~greater(capability(A, C), capability(A, B)))) | (~greater_or_equal(position(A, C), position(A, B)))))), rewrite(((has_immunity(A, C) | has_immunity(A, B) | (~organization(A)) | (~greater(capability(A, C), capability(A, B)))) | (~greater_or_equal(position(A, C), position(A, B)))) <=> (has_immunity(A, C) | has_immunity(A, B) | (~organization(A)) | (~greater_or_equal(position(A, C), position(A, B))) | (~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_or_equal(position(A, C), position(A, B)))) <=> (has_immunity(A, C) | has_immunity(A, B) | (~organization(A)) | (~greater_or_equal(position(A, C), position(A, B))) | (~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_or_equal(position(A, C), position(A, B)))) | smaller(hazard_of_mortality(A, C), hazard_of_mortality(A, B))) <=> ((has_immunity(A, C) | has_immunity(A, B) | (~organization(A)) | (~greater_or_equal(position(A, C), position(A, B))) | (~greater(capability(A, C), capability(A, B)))) | smaller(hazard_of_mortality(A, C), hazard_of_mortality(A, B))))), rewrite(((has_immunity(A, C) | has_immunity(A, B) | (~organization(A)) | (~greater_or_equal(position(A, C), position(A, B))) | (~greater(capability(A, C), capability(A, B)))) | smaller(hazard_of_mortality(A, C), hazard_of_mortality(A, B))) <=> (has_immunity(A, C) | has_immunity(A, B) | (~organization(A)) | smaller(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | (~greater_or_equal(position(A, C), position(A, B))) | (~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_or_equal(position(A, C), position(A, B)))) | smaller(hazard_of_mortality(A, C), hazard_of_mortality(A, B))) <=> (has_immunity(A, C) | has_immunity(A, B) | (~organization(A)) | smaller(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | (~greater_or_equal(position(A, C), position(A, B))) | (~greater(capability(A, C), capability(A, B))))))),
% 0.20/0.45 inference(bind,[status(th)],[])).
% 0.20/0.45 tff(287,plain,
% 0.20/0.45 (![B: $i, A: $i, C: $i] : ((((((~organization(A)) | has_immunity(A, B)) | has_immunity(A, C)) | (~greater(capability(A, C), capability(A, B)))) | (~greater_or_equal(position(A, C), position(A, B)))) | smaller(hazard_of_mortality(A, C), hazard_of_mortality(A, B))) <=> ![B: $i, A: $i, C: $i] : (has_immunity(A, C) | has_immunity(A, B) | (~organization(A)) | smaller(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | (~greater_or_equal(position(A, C), position(A, B))) | (~greater(capability(A, C), capability(A, B))))),
% 0.20/0.45 inference(quant_intro,[status(thm)],[286])).
% 0.20/0.45 tff(288,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_or_equal(position(A, C), position(A, B)))) | smaller(hazard_of_mortality(A, C), hazard_of_mortality(A, B)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','assumption_4_50')).
% 0.20/0.45 tff(289,plain,
% 0.20/0.45 (![B: $i, A: $i, C: $i] : (has_immunity(A, C) | has_immunity(A, B) | (~organization(A)) | smaller(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | (~greater_or_equal(position(A, C), position(A, B))) | (~greater(capability(A, C), capability(A, B))))),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[288, 287])).
% 0.20/0.45 tff(290,plain,
% 0.20/0.45 (![B: $i, A: $i, C: $i] : (has_immunity(A, C) | has_immunity(A, B) | (~organization(A)) | smaller(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | (~greater_or_equal(position(A, C), position(A, B))) | (~greater(capability(A, C), capability(A, B))))),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[289, 285])).
% 0.20/0.45 tff(291,plain,(
% 0.20/0.45 ![B: $i, A: $i, C: $i] : (has_immunity(A, C) | has_immunity(A, B) | (~organization(A)) | smaller(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | (~greater_or_equal(position(A, C), position(A, B))) | (~greater(capability(A, C), capability(A, B))))),
% 0.20/0.45 inference(skolemize,[status(sab)],[290])).
% 0.20/0.45 tff(292,plain,
% 0.20/0.45 (![B: $i, A: $i, C: $i] : (has_immunity(A, C) | has_immunity(A, B) | (~organization(A)) | smaller(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | (~greater_or_equal(position(A, C), position(A, B))) | (~greater(capability(A, C), capability(A, B))))),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[291, 284])).
% 0.20/0.45 tff(293,plain,
% 0.20/0.45 (((~![B: $i, A: $i, C: $i] : (has_immunity(A, C) | has_immunity(A, B) | (~organization(A)) | smaller(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | (~greater_or_equal(position(A, C), position(A, B))) | (~greater(capability(A, C), capability(A, B))))) | ((~organization(sk2)) | has_immunity(sk2, sk5) | has_immunity(sk2, sk6) | smaller(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk6)) | (~greater_or_equal(position(sk2, sk5), position(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)) | smaller(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | (~greater_or_equal(position(A, C), position(A, B))) | (~greater(capability(A, C), capability(A, B))))) | (~organization(sk2)) | has_immunity(sk2, sk5) | has_immunity(sk2, sk6) | smaller(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk6)) | (~greater_or_equal(position(sk2, sk5), position(sk2, sk6))) | (~greater(capability(sk2, sk5), capability(sk2, sk6))))),
% 0.20/0.45 inference(rewrite,[status(thm)],[])).
% 0.20/0.45 tff(294,plain,
% 0.20/0.45 ((has_immunity(sk2, sk5) | has_immunity(sk2, sk6) | (~organization(sk2)) | smaller(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk6)) | (~greater_or_equal(position(sk2, sk5), position(sk2, sk6))) | (~greater(capability(sk2, sk5), capability(sk2, sk6)))) <=> ((~organization(sk2)) | has_immunity(sk2, sk5) | has_immunity(sk2, sk6) | smaller(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk6)) | (~greater_or_equal(position(sk2, sk5), position(sk2, sk6))) | (~greater(capability(sk2, sk5), capability(sk2, sk6))))),
% 0.20/0.45 inference(rewrite,[status(thm)],[])).
% 0.20/0.45 tff(295,plain,
% 0.20/0.45 (((~![B: $i, A: $i, C: $i] : (has_immunity(A, C) | has_immunity(A, B) | (~organization(A)) | smaller(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | (~greater_or_equal(position(A, C), position(A, B))) | (~greater(capability(A, C), capability(A, B))))) | (has_immunity(sk2, sk5) | has_immunity(sk2, sk6) | (~organization(sk2)) | smaller(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk6)) | (~greater_or_equal(position(sk2, sk5), position(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)) | smaller(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | (~greater_or_equal(position(A, C), position(A, B))) | (~greater(capability(A, C), capability(A, B))))) | ((~organization(sk2)) | has_immunity(sk2, sk5) | has_immunity(sk2, sk6) | smaller(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk6)) | (~greater_or_equal(position(sk2, sk5), position(sk2, sk6))) | (~greater(capability(sk2, sk5), capability(sk2, sk6)))))),
% 0.20/0.45 inference(monotonicity,[status(thm)],[294])).
% 0.20/0.45 tff(296,plain,
% 0.20/0.45 (((~![B: $i, A: $i, C: $i] : (has_immunity(A, C) | has_immunity(A, B) | (~organization(A)) | smaller(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | (~greater_or_equal(position(A, C), position(A, B))) | (~greater(capability(A, C), capability(A, B))))) | (has_immunity(sk2, sk5) | has_immunity(sk2, sk6) | (~organization(sk2)) | smaller(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk6)) | (~greater_or_equal(position(sk2, sk5), position(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)) | smaller(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | (~greater_or_equal(position(A, C), position(A, B))) | (~greater(capability(A, C), capability(A, B))))) | (~organization(sk2)) | has_immunity(sk2, sk5) | has_immunity(sk2, sk6) | smaller(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk6)) | (~greater_or_equal(position(sk2, sk5), position(sk2, sk6))) | (~greater(capability(sk2, sk5), capability(sk2, sk6))))),
% 0.20/0.45 inference(transitivity,[status(thm)],[295, 293])).
% 0.20/0.45 tff(297,plain,
% 0.20/0.45 ((~![B: $i, A: $i, C: $i] : (has_immunity(A, C) | has_immunity(A, B) | (~organization(A)) | smaller(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | (~greater_or_equal(position(A, C), position(A, B))) | (~greater(capability(A, C), capability(A, B))))) | (has_immunity(sk2, sk5) | has_immunity(sk2, sk6) | (~organization(sk2)) | smaller(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk6)) | (~greater_or_equal(position(sk2, sk5), position(sk2, sk6))) | (~greater(capability(sk2, sk5), capability(sk2, sk6))))),
% 0.20/0.45 inference(quant_inst,[status(thm)],[])).
% 0.20/0.45 tff(298,plain,
% 0.20/0.45 ((~![B: $i, A: $i, C: $i] : (has_immunity(A, C) | has_immunity(A, B) | (~organization(A)) | smaller(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | (~greater_or_equal(position(A, C), position(A, B))) | (~greater(capability(A, C), capability(A, B))))) | (~organization(sk2)) | has_immunity(sk2, sk5) | has_immunity(sk2, sk6) | smaller(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk6)) | (~greater_or_equal(position(sk2, sk5), position(sk2, sk6))) | (~greater(capability(sk2, sk5), capability(sk2, sk6)))),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[297, 296])).
% 0.20/0.45 tff(299,plain,
% 0.20/0.45 (smaller(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk6)) | (~greater_or_equal(position(sk2, sk5), position(sk2, sk6)))),
% 0.20/0.45 inference(unit_resolution,[status(thm)],[298, 292, 140, 282, 278, 264])).
% 0.20/0.45 tff(300,plain,
% 0.20/0.45 (smaller(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk6))),
% 0.20/0.45 inference(unit_resolution,[status(thm)],[299, 197])).
% 0.20/0.45 tff(301,plain,
% 0.20/0.45 (((~![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))) | ((~smaller(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk6))) | greater(hazard_of_mortality(sk2, sk6), hazard_of_mortality(sk2, sk5)))) <=> ((~![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))) | (~smaller(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk6))) | greater(hazard_of_mortality(sk2, sk6), hazard_of_mortality(sk2, sk5)))),
% 0.20/0.45 inference(rewrite,[status(thm)],[])).
% 0.20/0.45 tff(302,plain,
% 0.20/0.45 ((~![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))) | ((~smaller(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk6))) | greater(hazard_of_mortality(sk2, sk6), hazard_of_mortality(sk2, sk5)))),
% 0.20/0.45 inference(quant_inst,[status(thm)],[])).
% 0.20/0.45 tff(303,plain,
% 0.20/0.45 ((~![B: $i, A: $i] : ((~smaller(A, B)) | greater(B, A))) | (~smaller(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk6))) | greater(hazard_of_mortality(sk2, sk6), hazard_of_mortality(sk2, sk5))),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[302, 301])).
% 0.20/0.45 tff(304,plain,
% 0.20/0.45 (greater(hazard_of_mortality(sk2, sk6), hazard_of_mortality(sk2, sk5))),
% 0.20/0.45 inference(unit_resolution,[status(thm)],[303, 104, 300])).
% 0.20/0.45 tff(305,assumption,(~greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4))), introduced(assumption)).
% 0.20/0.45 tff(306,plain,
% 0.20/0.45 (^[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))))),
% 0.20/0.45 inference(bind,[status(th)],[])).
% 0.20/0.45 tff(307,plain,
% 0.20/0.45 (![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)))),
% 0.20/0.45 inference(quant_intro,[status(thm)],[306])).
% 0.20/0.45 tff(308,plain,
% 0.20/0.45 (![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)))),
% 0.20/0.46 inference(rewrite,[status(thm)],[])).
% 0.20/0.46 tff(309,plain,
% 0.20/0.46 (^[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)))))),
% 0.20/0.46 inference(bind,[status(th)],[])).
% 0.20/0.46 tff(310,plain,
% 0.20/0.46 (![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)))),
% 0.20/0.46 inference(quant_intro,[status(thm)],[309])).
% 0.20/0.46 tff(311,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_49')).
% 0.20/0.46 tff(312,plain,
% 0.20/0.46 (![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)))),
% 0.20/0.46 inference(modus_ponens,[status(thm)],[311, 310])).
% 0.20/0.46 tff(313,plain,
% 0.20/0.46 (![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)))),
% 0.20/0.46 inference(modus_ponens,[status(thm)],[312, 308])).
% 0.20/0.46 tff(314,plain,(
% 0.20/0.46 ![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)))),
% 0.20/0.46 inference(skolemize,[status(sab)],[313])).
% 0.20/0.46 tff(315,plain,
% 0.20/0.46 (![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)))),
% 0.20/0.46 inference(modus_ponens,[status(thm)],[314, 307])).
% 0.20/0.46 tff(316,plain,
% 0.20/0.46 (((~![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))),
% 0.20/0.46 inference(rewrite,[status(thm)],[])).
% 0.20/0.46 tff(317,plain,
% 0.20/0.46 ((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))),
% 0.20/0.46 inference(rewrite,[status(thm)],[])).
% 0.20/0.46 tff(318,plain,
% 0.20/0.46 (((~![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)))),
% 0.20/0.46 inference(monotonicity,[status(thm)],[317])).
% 0.20/0.46 tff(319,plain,
% 0.20/0.46 (((~![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))),
% 0.20/0.46 inference(transitivity,[status(thm)],[318, 316])).
% 0.20/0.46 tff(320,plain,
% 0.20/0.46 ((~![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)))),
% 0.20/0.46 inference(quant_inst,[status(thm)],[])).
% 0.20/0.46 tff(321,plain,
% 0.20/0.46 ((~![B: $i, A: $i, C: $i] : (greater(hazard_of_mortality(A, C), hazard_of_mortality(A, B)) | has_immunity(A, C) | (~has_immunity(A, B)) | (~organization(A)))) | greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4)) | (~organization(sk2)) | (~has_immunity(sk2, sk4)) | has_immunity(sk2, sk5)),
% 0.20/0.46 inference(modus_ponens,[status(thm)],[320, 319])).
% 0.20/0.46 tff(322,plain,
% 0.20/0.46 ($false),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[321, 315, 140, 305, 23, 282])).
% 0.20/0.46 tff(323,plain,(greater(hazard_of_mortality(sk2, sk5), hazard_of_mortality(sk2, sk4))), inference(lemma,lemma(discharge,[]))).
% 0.20/0.46 tff(324,plain,
% 0.20/0.46 (((~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))))),
% 0.20/0.46 inference(rewrite,[status(thm)],[])).
% 0.20/0.46 tff(325,plain,
% 0.20/0.46 ((((~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))))),
% 0.20/0.46 inference(rewrite,[status(thm)],[])).
% 0.20/0.46 tff(326,plain,
% 0.20/0.46 (((~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))))),
% 0.20/0.46 inference(rewrite,[status(thm)],[])).
% 0.20/0.46 tff(327,plain,
% 0.20/0.46 ((((~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))))),
% 0.20/0.46 inference(monotonicity,[status(thm)],[326])).
% 0.20/0.46 tff(328,plain,
% 0.20/0.46 ((((~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))))),
% 0.20/0.46 inference(transitivity,[status(thm)],[327, 325])).
% 0.20/0.46 tff(329,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','theorem_4_67')).
% 0.20/0.46 tff(330,plain,
% 0.20/0.46 ((~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)))),
% 0.20/0.46 inference(modus_ponens,[status(thm)],[329, 328])).
% 0.20/0.46 tff(331,plain,
% 0.20/0.46 ((~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)))),
% 0.20/0.46 inference(modus_ponens,[status(thm)],[330, 324])).
% 0.20/0.46 tff(332,plain,
% 0.20/0.46 ((~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)))),
% 0.20/0.46 inference(modus_ponens,[status(thm)],[331, 324])).
% 0.20/0.46 tff(333,plain,
% 0.20/0.46 ((~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)))),
% 0.20/0.46 inference(modus_ponens,[status(thm)],[332, 324])).
% 0.20/0.46 tff(334,plain,
% 0.20/0.46 ((~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)))),
% 0.20/0.46 inference(modus_ponens,[status(thm)],[333, 324])).
% 0.20/0.46 tff(335,plain,
% 0.20/0.46 ((~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)))),
% 0.20/0.46 inference(modus_ponens,[status(thm)],[334, 324])).
% 0.20/0.46 tff(336,plain,
% 0.20/0.46 ((~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)))),
% 0.20/0.46 inference(modus_ponens,[status(thm)],[335, 324])).
% 0.20/0.46 tff(337,plain,
% 0.20/0.46 ((~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)))),
% 0.20/0.46 inference(modus_ponens,[status(thm)],[336, 324])).
% 0.20/0.46 tff(338,plain,
% 0.20/0.46 ((~greater(hazard_of_mortality(sk2, sk6), hazard_of_mortality(sk2, sk5))) | (~(hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3)))),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[337, 323])).
% 0.20/0.46 tff(339,plain,
% 0.20/0.46 (~(hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3))),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[338, 304])).
% 0.20/0.46 tff(340,plain,
% 0.20/0.46 (^[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))))),
% 0.20/0.46 inference(bind,[status(th)],[])).
% 0.20/0.46 tff(341,plain,
% 0.20/0.46 (![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)))),
% 0.20/0.46 inference(quant_intro,[status(thm)],[340])).
% 0.20/0.46 tff(342,plain,
% 0.20/0.46 (![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)))),
% 0.20/0.46 inference(rewrite,[status(thm)],[])).
% 0.20/0.46 tff(343,plain,
% 0.20/0.46 (^[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)))))),
% 0.20/0.46 inference(bind,[status(th)],[])).
% 0.20/0.46 tff(344,plain,
% 0.20/0.46 (![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)))),
% 0.20/0.46 inference(quant_intro,[status(thm)],[343])).
% 0.20/0.46 tff(345,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_48')).
% 0.20/0.46 tff(346,plain,
% 0.20/0.46 (![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)))),
% 0.20/0.46 inference(modus_ponens,[status(thm)],[345, 344])).
% 0.20/0.46 tff(347,plain,
% 0.20/0.46 (![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)))),
% 0.20/0.46 inference(modus_ponens,[status(thm)],[346, 342])).
% 0.20/0.46 tff(348,plain,(
% 0.20/0.46 ![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)))),
% 0.20/0.46 inference(skolemize,[status(sab)],[347])).
% 0.20/0.46 tff(349,plain,
% 0.20/0.46 (![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)))),
% 0.20/0.46 inference(modus_ponens,[status(thm)],[348, 341])).
% 0.20/0.46 tff(350,plain,
% 0.20/0.46 (((~![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, sk3)) | (~has_immunity(sk2, sk4)))) <=> ((~![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, sk3)) | (~has_immunity(sk2, sk4)))),
% 0.20/0.46 inference(rewrite,[status(thm)],[])).
% 0.20/0.46 tff(351,plain,
% 0.20/0.46 (((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, sk3)) | (~has_immunity(sk2, sk4)))),
% 0.20/0.46 inference(rewrite,[status(thm)],[])).
% 0.20/0.46 tff(352,plain,
% 0.20/0.46 (((~![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, sk3)) | (~has_immunity(sk2, sk4))))),
% 0.20/0.46 inference(monotonicity,[status(thm)],[351])).
% 0.20/0.46 tff(353,plain,
% 0.20/0.46 (((~![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, sk3)) | (~has_immunity(sk2, sk4)))),
% 0.20/0.46 inference(transitivity,[status(thm)],[352, 350])).
% 0.20/0.46 tff(354,plain,
% 0.20/0.46 ((~![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)))),
% 0.20/0.46 inference(quant_inst,[status(thm)],[])).
% 0.20/0.46 tff(355,plain,
% 0.20/0.46 ((~![B: $i, A: $i, C: $i] : ((hazard_of_mortality(A, B) = hazard_of_mortality(A, C)) | (~has_immunity(A, C)) | (~has_immunity(A, B)) | (~organization(A)))) | (hazard_of_mortality(sk2, sk4) = hazard_of_mortality(sk2, sk3)) | (~organization(sk2)) | (~has_immunity(sk2, sk3)) | (~has_immunity(sk2, sk4))),
% 0.20/0.46 inference(modus_ponens,[status(thm)],[354, 353])).
% 0.20/0.46 tff(356,plain,
% 0.20/0.46 ($false),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[355, 349, 140, 339, 136, 23])).
% 0.20/0.46 % SZS output end Proof
%------------------------------------------------------------------------------