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 : n002.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 : Theorem 0.12s 0.39s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : MGT051+1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.34 % Computer : n002.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri Sep 2 03:07:16 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.12/0.34 Usage: tptp [options] [-file:]file
% 0.12/0.34 -h, -? prints this message.
% 0.12/0.34 -smt2 print SMT-LIB2 benchmark.
% 0.12/0.34 -m, -model generate model.
% 0.12/0.34 -p, -proof generate proof.
% 0.12/0.34 -c, -core generate unsat core of named formulas.
% 0.12/0.34 -st, -statistics display statistics.
% 0.12/0.34 -t:timeout set timeout (in second).
% 0.12/0.34 -smt2status display status in smt2 format instead of SZS.
% 0.12/0.34 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.12/0.34 -<param>:<value> configuration parameter and value.
% 0.12/0.34 -o:<output-file> file to place output in.
% 0.12/0.39 % SZS status Theorem
% 0.12/0.39 % SZS output start Proof
% 0.12/0.39 tff(smaller_or_equal_type, type, (
% 0.12/0.39 smaller_or_equal: ( $i * $i ) > $o)).
% 0.12/0.39 tff(stock_of_knowledge_type, type, (
% 0.12/0.39 stock_of_knowledge: ( $i * $i ) > $i)).
% 0.12/0.39 tff(tptp_fun_T2_2_type, type, (
% 0.12/0.39 tptp_fun_T2_2: $i)).
% 0.12/0.39 tff(tptp_fun_X_5_type, type, (
% 0.12/0.39 tptp_fun_X_5: $i)).
% 0.12/0.39 tff(tptp_fun_T3_1_type, type, (
% 0.12/0.39 tptp_fun_T3_1: $i)).
% 0.12/0.39 tff(organization_type, type, (
% 0.12/0.39 organization: $i > $o)).
% 0.12/0.39 tff(greater_type, type, (
% 0.12/0.39 greater: ( $i * $i ) > $o)).
% 0.12/0.39 tff(age_type, type, (
% 0.12/0.39 age: ( $i * $i ) > $i)).
% 0.12/0.39 tff(eta_type, type, (
% 0.12/0.39 eta: $i)).
% 0.12/0.39 tff(tptp_fun_T1_3_type, type, (
% 0.12/0.39 tptp_fun_T1_3: $i)).
% 0.12/0.39 tff(tptp_fun_T0_4_type, type, (
% 0.12/0.39 tptp_fun_T0_4: $i)).
% 0.12/0.39 tff(has_endowment_type, type, (
% 0.12/0.39 has_endowment: $i > $o)).
% 0.12/0.39 tff(hazard_of_mortality_type, type, (
% 0.12/0.39 hazard_of_mortality: ( $i * $i ) > $i)).
% 0.12/0.39 tff(smaller_type, type, (
% 0.12/0.39 smaller: ( $i * $i ) > $o)).
% 0.12/0.39 tff(capability_type, type, (
% 0.12/0.39 capability: ( $i * $i ) > $i)).
% 0.12/0.39 tff(greater_or_equal_type, type, (
% 0.12/0.39 greater_or_equal: ( $i * $i ) > $o)).
% 0.12/0.39 tff(position_type, type, (
% 0.12/0.39 position: ( $i * $i ) > $i)).
% 0.12/0.39 tff(external_ties_type, type, (
% 0.12/0.39 external_ties: ( $i * $i ) > $i)).
% 0.12/0.39 tff(has_immunity_type, type, (
% 0.12/0.39 has_immunity: ( $i * $i ) > $o)).
% 0.12/0.39 tff(tptp_fun_T_0_type, type, (
% 0.12/0.39 tptp_fun_T_0: $i > $i)).
% 0.12/0.39 tff(internal_friction_type, type, (
% 0.12/0.39 internal_friction: ( $i * $i ) > $i)).
% 0.12/0.39 tff(1,plain,
% 0.12/0.39 ((~![X: $i, T0: $i, T1: $i, T2: $i, T3: $i] : ((~(organization(X) & has_endowment(X) & smaller_or_equal(age(X, T0), age(X, T1)) & smaller_or_equal(age(X, T1), eta) & greater(age(X, T2), eta) & greater(age(X, T3), age(X, T2)))) | (greater(hazard_of_mortality(X, T3), hazard_of_mortality(X, T2)) & greater(hazard_of_mortality(X, T2), hazard_of_mortality(X, T1)) & (hazard_of_mortality(X, T1) = hazard_of_mortality(X, T0))))) <=> (~![X: $i, T0: $i, T1: $i, T2: $i, T3: $i] : ((~(organization(X) & has_endowment(X) & smaller_or_equal(age(X, T0), age(X, T1)) & smaller_or_equal(age(X, T1), eta) & greater(age(X, T2), eta) & greater(age(X, T3), age(X, T2)))) | (greater(hazard_of_mortality(X, T3), hazard_of_mortality(X, T2)) & greater(hazard_of_mortality(X, T2), hazard_of_mortality(X, T1)) & (hazard_of_mortality(X, T1) = hazard_of_mortality(X, T0)))))),
% 0.12/0.39 inference(rewrite,[status(thm)],[])).
% 0.12/0.39 tff(2,plain,
% 0.12/0.39 ((~![X: $i, T0: $i, T1: $i, T2: $i, T3: $i] : ((((((organization(X) & has_endowment(X)) & smaller_or_equal(age(X, T0), age(X, T1))) & smaller_or_equal(age(X, T1), eta)) & greater(age(X, T2), eta)) & greater(age(X, T3), age(X, T2))) => ((greater(hazard_of_mortality(X, T3), hazard_of_mortality(X, T2)) & greater(hazard_of_mortality(X, T2), hazard_of_mortality(X, T1))) & (hazard_of_mortality(X, T1) = hazard_of_mortality(X, T0))))) <=> (~![X: $i, T0: $i, T1: $i, T2: $i, T3: $i] : ((~(organization(X) & has_endowment(X) & smaller_or_equal(age(X, T0), age(X, T1)) & smaller_or_equal(age(X, T1), eta) & greater(age(X, T2), eta) & greater(age(X, T3), age(X, T2)))) | (greater(hazard_of_mortality(X, T3), hazard_of_mortality(X, T2)) & greater(hazard_of_mortality(X, T2), hazard_of_mortality(X, T1)) & (hazard_of_mortality(X, T1) = hazard_of_mortality(X, T0)))))),
% 0.12/0.39 inference(rewrite,[status(thm)],[])).
% 0.12/0.39 tff(3,axiom,(~![X: $i, T0: $i, T1: $i, T2: $i, T3: $i] : ((((((organization(X) & has_endowment(X)) & smaller_or_equal(age(X, T0), age(X, T1))) & smaller_or_equal(age(X, T1), eta)) & greater(age(X, T2), eta)) & greater(age(X, T3), age(X, T2))) => ((greater(hazard_of_mortality(X, T3), hazard_of_mortality(X, T2)) & greater(hazard_of_mortality(X, T2), hazard_of_mortality(X, T1))) & (hazard_of_mortality(X, T1) = hazard_of_mortality(X, T0))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','theorem_4')).
% 0.12/0.39 tff(4,plain,
% 0.12/0.39 (~![X: $i, T0: $i, T1: $i, T2: $i, T3: $i] : ((~(organization(X) & has_endowment(X) & smaller_or_equal(age(X, T0), age(X, T1)) & smaller_or_equal(age(X, T1), eta) & greater(age(X, T2), eta) & greater(age(X, T3), age(X, T2)))) | (greater(hazard_of_mortality(X, T3), hazard_of_mortality(X, T2)) & greater(hazard_of_mortality(X, T2), hazard_of_mortality(X, T1)) & (hazard_of_mortality(X, T1) = hazard_of_mortality(X, T0))))),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[3, 2])).
% 0.12/0.39 tff(5,plain,
% 0.12/0.39 (~![X: $i, T0: $i, T1: $i, T2: $i, T3: $i] : ((~(organization(X) & has_endowment(X) & smaller_or_equal(age(X, T0), age(X, T1)) & smaller_or_equal(age(X, T1), eta) & greater(age(X, T2), eta) & greater(age(X, T3), age(X, T2)))) | (greater(hazard_of_mortality(X, T3), hazard_of_mortality(X, T2)) & greater(hazard_of_mortality(X, T2), hazard_of_mortality(X, T1)) & (hazard_of_mortality(X, T1) = hazard_of_mortality(X, T0))))),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[4, 1])).
% 0.12/0.39 tff(6,plain,
% 0.12/0.39 (~![X: $i, T0: $i, T1: $i, T2: $i, T3: $i] : ((~(organization(X) & has_endowment(X) & smaller_or_equal(age(X, T0), age(X, T1)) & smaller_or_equal(age(X, T1), eta) & greater(age(X, T2), eta) & greater(age(X, T3), age(X, T2)))) | (greater(hazard_of_mortality(X, T3), hazard_of_mortality(X, T2)) & greater(hazard_of_mortality(X, T2), hazard_of_mortality(X, T1)) & (hazard_of_mortality(X, T1) = hazard_of_mortality(X, T0))))),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[5, 1])).
% 0.12/0.39 tff(7,plain,
% 0.12/0.39 (~![X: $i, T0: $i, T1: $i, T2: $i, T3: $i] : ((~(organization(X) & has_endowment(X) & smaller_or_equal(age(X, T0), age(X, T1)) & smaller_or_equal(age(X, T1), eta) & greater(age(X, T2), eta) & greater(age(X, T3), age(X, T2)))) | (greater(hazard_of_mortality(X, T3), hazard_of_mortality(X, T2)) & greater(hazard_of_mortality(X, T2), hazard_of_mortality(X, T1)) & (hazard_of_mortality(X, T1) = hazard_of_mortality(X, T0))))),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[6, 1])).
% 0.12/0.39 tff(8,plain,
% 0.12/0.39 (~![X: $i, T0: $i, T1: $i, T2: $i, T3: $i] : ((~(organization(X) & has_endowment(X) & smaller_or_equal(age(X, T0), age(X, T1)) & smaller_or_equal(age(X, T1), eta) & greater(age(X, T2), eta) & greater(age(X, T3), age(X, T2)))) | (greater(hazard_of_mortality(X, T3), hazard_of_mortality(X, T2)) & greater(hazard_of_mortality(X, T2), hazard_of_mortality(X, T1)) & (hazard_of_mortality(X, T1) = hazard_of_mortality(X, T0))))),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[7, 1])).
% 0.12/0.39 tff(9,plain,
% 0.12/0.39 (~![X: $i, T0: $i, T1: $i, T2: $i, T3: $i] : ((~(organization(X) & has_endowment(X) & smaller_or_equal(age(X, T0), age(X, T1)) & smaller_or_equal(age(X, T1), eta) & greater(age(X, T2), eta) & greater(age(X, T3), age(X, T2)))) | (greater(hazard_of_mortality(X, T3), hazard_of_mortality(X, T2)) & greater(hazard_of_mortality(X, T2), hazard_of_mortality(X, T1)) & (hazard_of_mortality(X, T1) = hazard_of_mortality(X, T0))))),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[8, 1])).
% 0.12/0.39 tff(10,plain,
% 0.12/0.39 (~![X: $i, T0: $i, T1: $i, T2: $i, T3: $i] : ((~(organization(X) & has_endowment(X) & smaller_or_equal(age(X, T0), age(X, T1)) & smaller_or_equal(age(X, T1), eta) & greater(age(X, T2), eta) & greater(age(X, T3), age(X, T2)))) | (greater(hazard_of_mortality(X, T3), hazard_of_mortality(X, T2)) & greater(hazard_of_mortality(X, T2), hazard_of_mortality(X, T1)) & (hazard_of_mortality(X, T1) = hazard_of_mortality(X, T0))))),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[9, 1])).
% 0.12/0.39 tff(11,plain,(
% 0.12/0.39 ~((~(organization(X!5) & has_endowment(X!5) & smaller_or_equal(age(X!5, T0!4), age(X!5, T1!3)) & smaller_or_equal(age(X!5, T1!3), eta) & greater(age(X!5, T2!2), eta) & greater(age(X!5, T3!1), age(X!5, T2!2)))) | (greater(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2)) & greater(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T1!3)) & (hazard_of_mortality(X!5, T1!3) = hazard_of_mortality(X!5, T0!4))))),
% 0.12/0.39 inference(skolemize,[status(sab)],[10])).
% 0.12/0.39 tff(12,plain,
% 0.12/0.39 (organization(X!5) & has_endowment(X!5) & smaller_or_equal(age(X!5, T0!4), age(X!5, T1!3)) & smaller_or_equal(age(X!5, T1!3), eta) & greater(age(X!5, T2!2), eta) & greater(age(X!5, T3!1), age(X!5, T2!2))),
% 0.12/0.39 inference(or_elim,[status(thm)],[11])).
% 0.12/0.39 tff(13,plain,
% 0.12/0.39 (organization(X!5)),
% 0.12/0.39 inference(and_elim,[status(thm)],[12])).
% 0.12/0.39 tff(14,plain,
% 0.12/0.39 (^[X: $i, T0: $i, T: $i] : refl(((~organization(X)) | (stock_of_knowledge(X, T) = stock_of_knowledge(X, T0))) <=> ((~organization(X)) | (stock_of_knowledge(X, T) = stock_of_knowledge(X, T0))))),
% 0.12/0.39 inference(bind,[status(th)],[])).
% 0.12/0.39 tff(15,plain,
% 0.12/0.39 (![X: $i, T0: $i, T: $i] : ((~organization(X)) | (stock_of_knowledge(X, T) = stock_of_knowledge(X, T0))) <=> ![X: $i, T0: $i, T: $i] : ((~organization(X)) | (stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)))),
% 0.12/0.39 inference(quant_intro,[status(thm)],[14])).
% 0.12/0.39 tff(16,plain,
% 0.12/0.39 (![X: $i, T0: $i, T: $i] : ((~organization(X)) | (stock_of_knowledge(X, T) = stock_of_knowledge(X, T0))) <=> ![X: $i, T0: $i, T: $i] : ((~organization(X)) | (stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)))),
% 0.12/0.39 inference(rewrite,[status(thm)],[])).
% 0.12/0.39 tff(17,plain,
% 0.12/0.39 (^[X: $i, T0: $i, T: $i] : rewrite((organization(X) => (stock_of_knowledge(X, T) = stock_of_knowledge(X, T0))) <=> ((~organization(X)) | (stock_of_knowledge(X, T) = stock_of_knowledge(X, T0))))),
% 0.12/0.39 inference(bind,[status(th)],[])).
% 0.12/0.39 tff(18,plain,
% 0.12/0.39 (![X: $i, T0: $i, T: $i] : (organization(X) => (stock_of_knowledge(X, T) = stock_of_knowledge(X, T0))) <=> ![X: $i, T0: $i, T: $i] : ((~organization(X)) | (stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)))),
% 0.12/0.39 inference(quant_intro,[status(thm)],[17])).
% 0.12/0.39 tff(19,axiom,(![X: $i, T0: $i, T: $i] : (organization(X) => (stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','assumption_10')).
% 0.12/0.39 tff(20,plain,
% 0.12/0.39 (![X: $i, T0: $i, T: $i] : ((~organization(X)) | (stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)))),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[19, 18])).
% 0.12/0.39 tff(21,plain,
% 0.12/0.39 (![X: $i, T0: $i, T: $i] : ((~organization(X)) | (stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)))),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[20, 16])).
% 0.12/0.39 tff(22,plain,(
% 0.12/0.39 ![X: $i, T0: $i, T: $i] : ((~organization(X)) | (stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)))),
% 0.12/0.39 inference(skolemize,[status(sab)],[21])).
% 0.12/0.39 tff(23,plain,
% 0.12/0.39 (![X: $i, T0: $i, T: $i] : ((~organization(X)) | (stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)))),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[22, 15])).
% 0.12/0.39 tff(24,plain,
% 0.12/0.39 (((~![X: $i, T0: $i, T: $i] : ((~organization(X)) | (stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)))) | ((~organization(X!5)) | (stock_of_knowledge(X!5, T3!1) = stock_of_knowledge(X!5, T2!2)))) <=> ((~![X: $i, T0: $i, T: $i] : ((~organization(X)) | (stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)))) | (~organization(X!5)) | (stock_of_knowledge(X!5, T3!1) = stock_of_knowledge(X!5, T2!2)))),
% 0.12/0.39 inference(rewrite,[status(thm)],[])).
% 0.12/0.39 tff(25,plain,
% 0.12/0.39 ((~![X: $i, T0: $i, T: $i] : ((~organization(X)) | (stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)))) | ((~organization(X!5)) | (stock_of_knowledge(X!5, T3!1) = stock_of_knowledge(X!5, T2!2)))),
% 0.12/0.39 inference(quant_inst,[status(thm)],[])).
% 0.12/0.39 tff(26,plain,
% 0.12/0.39 ((~![X: $i, T0: $i, T: $i] : ((~organization(X)) | (stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)))) | (~organization(X!5)) | (stock_of_knowledge(X!5, T3!1) = stock_of_knowledge(X!5, T2!2))),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[25, 24])).
% 0.12/0.39 tff(27,plain,
% 0.12/0.39 (stock_of_knowledge(X!5, T3!1) = stock_of_knowledge(X!5, T2!2)),
% 0.12/0.39 inference(unit_resolution,[status(thm)],[26, 23, 13])).
% 0.12/0.39 tff(28,plain,
% 0.12/0.39 (stock_of_knowledge(X!5, T2!2) = stock_of_knowledge(X!5, T3!1)),
% 0.12/0.39 inference(symmetry,[status(thm)],[27])).
% 0.12/0.39 tff(29,plain,
% 0.12/0.39 (smaller_or_equal(stock_of_knowledge(X!5, T2!2), stock_of_knowledge(X!5, T2!2)) <=> smaller_or_equal(stock_of_knowledge(X!5, T3!1), stock_of_knowledge(X!5, T2!2))),
% 0.12/0.39 inference(monotonicity,[status(thm)],[28])).
% 0.12/0.39 tff(30,plain,
% 0.12/0.39 (smaller_or_equal(stock_of_knowledge(X!5, T3!1), stock_of_knowledge(X!5, T2!2)) <=> smaller_or_equal(stock_of_knowledge(X!5, T2!2), stock_of_knowledge(X!5, T2!2))),
% 0.12/0.39 inference(symmetry,[status(thm)],[29])).
% 0.12/0.39 tff(31,plain,
% 0.12/0.39 ((~smaller_or_equal(stock_of_knowledge(X!5, T3!1), stock_of_knowledge(X!5, T2!2))) <=> (~smaller_or_equal(stock_of_knowledge(X!5, T2!2), stock_of_knowledge(X!5, T2!2)))),
% 0.12/0.39 inference(monotonicity,[status(thm)],[30])).
% 0.12/0.39 tff(32,plain,
% 0.12/0.39 (^[X: $i, Y: $i] : refl((smaller(X, Y) <=> greater(Y, X)) <=> (smaller(X, Y) <=> greater(Y, X)))),
% 0.12/0.39 inference(bind,[status(th)],[])).
% 0.12/0.39 tff(33,plain,
% 0.12/0.39 (![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X)) <=> ![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))),
% 0.12/0.39 inference(quant_intro,[status(thm)],[32])).
% 0.12/0.39 tff(34,plain,
% 0.12/0.39 (![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X)) <=> ![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))),
% 0.12/0.39 inference(rewrite,[status(thm)],[])).
% 0.12/0.39 tff(35,axiom,(![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))), file('/export/starexec/sandbox2/benchmark/Axioms/MGT001+0.ax','definition_smaller')).
% 0.12/0.39 tff(36,plain,
% 0.12/0.39 (![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[35, 34])).
% 0.12/0.39 tff(37,plain,(
% 0.12/0.39 ![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))),
% 0.12/0.39 inference(skolemize,[status(sab)],[36])).
% 0.12/0.39 tff(38,plain,
% 0.12/0.39 (![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[37, 33])).
% 0.12/0.39 tff(39,plain,
% 0.12/0.39 ((~![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))) | (smaller(capability(X!5, T3!1), capability(X!5, T2!2)) <=> greater(capability(X!5, T2!2), capability(X!5, T3!1)))),
% 0.12/0.39 inference(quant_inst,[status(thm)],[])).
% 0.12/0.39 tff(40,plain,
% 0.12/0.39 (smaller(capability(X!5, T3!1), capability(X!5, T2!2)) <=> greater(capability(X!5, T2!2), capability(X!5, T3!1))),
% 0.12/0.39 inference(unit_resolution,[status(thm)],[39, 38])).
% 0.12/0.39 tff(41,assumption,(~(greater_or_equal(position(X!5, T2!2), position(X!5, T3!1)) <=> ((position(X!5, T2!2) = position(X!5, T3!1)) | greater(position(X!5, T2!2), position(X!5, T3!1))))), introduced(assumption)).
% 0.12/0.39 tff(42,plain,
% 0.12/0.39 (^[X: $i, Y: $i] : refl((greater_or_equal(X, Y) <=> ((X = Y) | greater(X, Y))) <=> (greater_or_equal(X, Y) <=> ((X = Y) | greater(X, Y))))),
% 0.12/0.39 inference(bind,[status(th)],[])).
% 0.12/0.39 tff(43,plain,
% 0.12/0.39 (![X: $i, Y: $i] : (greater_or_equal(X, Y) <=> ((X = Y) | greater(X, Y))) <=> ![X: $i, Y: $i] : (greater_or_equal(X, Y) <=> ((X = Y) | greater(X, Y)))),
% 0.12/0.39 inference(quant_intro,[status(thm)],[42])).
% 0.12/0.39 tff(44,plain,
% 0.12/0.39 (![X: $i, Y: $i] : (greater_or_equal(X, Y) <=> ((X = Y) | greater(X, Y))) <=> ![X: $i, Y: $i] : (greater_or_equal(X, Y) <=> ((X = Y) | greater(X, Y)))),
% 0.12/0.39 inference(rewrite,[status(thm)],[])).
% 0.12/0.39 tff(45,plain,
% 0.12/0.39 (^[X: $i, Y: $i] : rewrite((greater_or_equal(X, Y) <=> (greater(X, Y) | (X = Y))) <=> (greater_or_equal(X, Y) <=> ((X = Y) | greater(X, Y))))),
% 0.12/0.39 inference(bind,[status(th)],[])).
% 0.12/0.39 tff(46,plain,
% 0.12/0.39 (![X: $i, Y: $i] : (greater_or_equal(X, Y) <=> (greater(X, Y) | (X = Y))) <=> ![X: $i, Y: $i] : (greater_or_equal(X, Y) <=> ((X = Y) | greater(X, Y)))),
% 0.12/0.39 inference(quant_intro,[status(thm)],[45])).
% 0.12/0.39 tff(47,axiom,(![X: $i, Y: $i] : (greater_or_equal(X, Y) <=> (greater(X, Y) | (X = Y)))), file('/export/starexec/sandbox2/benchmark/Axioms/MGT001+0.ax','definition_greater_or_equal')).
% 0.12/0.39 tff(48,plain,
% 0.12/0.39 (![X: $i, Y: $i] : (greater_or_equal(X, Y) <=> ((X = Y) | greater(X, Y)))),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[47, 46])).
% 0.12/0.39 tff(49,plain,
% 0.12/0.39 (![X: $i, Y: $i] : (greater_or_equal(X, Y) <=> ((X = Y) | greater(X, Y)))),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[48, 44])).
% 0.12/0.39 tff(50,plain,(
% 0.12/0.39 ![X: $i, Y: $i] : (greater_or_equal(X, Y) <=> ((X = Y) | greater(X, Y)))),
% 0.12/0.39 inference(skolemize,[status(sab)],[49])).
% 0.12/0.39 tff(51,plain,
% 0.12/0.39 (![X: $i, Y: $i] : (greater_or_equal(X, Y) <=> ((X = Y) | greater(X, Y)))),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[50, 43])).
% 0.12/0.39 tff(52,plain,
% 0.12/0.39 ((~![X: $i, Y: $i] : (greater_or_equal(X, Y) <=> ((X = Y) | greater(X, Y)))) | (greater_or_equal(position(X!5, T2!2), position(X!5, T3!1)) <=> ((position(X!5, T2!2) = position(X!5, T3!1)) | greater(position(X!5, T2!2), position(X!5, T3!1))))),
% 0.12/0.39 inference(quant_inst,[status(thm)],[])).
% 0.12/0.39 tff(53,plain,
% 0.12/0.39 ($false),
% 0.12/0.39 inference(unit_resolution,[status(thm)],[52, 51, 41])).
% 0.12/0.39 tff(54,plain,(greater_or_equal(position(X!5, T2!2), position(X!5, T3!1)) <=> ((position(X!5, T2!2) = position(X!5, T3!1)) | greater(position(X!5, T2!2), position(X!5, T3!1)))), inference(lemma,lemma(discharge,[]))).
% 0.12/0.39 tff(55,assumption,((~((~greater(external_ties(X!5, T2!2), external_ties(X!5, T3!1))) | greater(position(X!5, T2!2), position(X!5, T3!1)))) | (~((~(external_ties(X!5, T2!2) = external_ties(X!5, T3!1))) | (position(X!5, T2!2) = position(X!5, T3!1))))), introduced(assumption)).
% 0.12/0.39 tff(56,plain,
% 0.12/0.39 (^[X: $i, T0: $i, T: $i] : refl(((~organization(X)) | (~((~((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0)))) | (~((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0))))))) <=> ((~organization(X)) | (~((~((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0)))) | (~((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0))))))))),
% 0.12/0.39 inference(bind,[status(th)],[])).
% 0.12/0.39 tff(57,plain,
% 0.12/0.39 (![X: $i, T0: $i, T: $i] : ((~organization(X)) | (~((~((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0)))) | (~((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0))))))) <=> ![X: $i, T0: $i, T: $i] : ((~organization(X)) | (~((~((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0)))) | (~((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0)))))))),
% 0.12/0.39 inference(quant_intro,[status(thm)],[56])).
% 0.12/0.39 tff(58,plain,
% 0.12/0.39 (^[X: $i, T0: $i, T: $i] : rewrite(((~organization(X)) | (((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0))) & ((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0))))) <=> ((~organization(X)) | (~((~((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0)))) | (~((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0))))))))),
% 0.12/0.39 inference(bind,[status(th)],[])).
% 0.12/0.39 tff(59,plain,
% 0.12/0.39 (![X: $i, T0: $i, T: $i] : ((~organization(X)) | (((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0))) & ((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0))))) <=> ![X: $i, T0: $i, T: $i] : ((~organization(X)) | (~((~((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0)))) | (~((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0)))))))),
% 0.12/0.39 inference(quant_intro,[status(thm)],[58])).
% 0.12/0.39 tff(60,plain,
% 0.12/0.39 (![X: $i, T0: $i, T: $i] : ((~organization(X)) | (((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0))) & ((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0))))) <=> ![X: $i, T0: $i, T: $i] : ((~organization(X)) | (((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0))) & ((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0)))))),
% 0.12/0.39 inference(rewrite,[status(thm)],[])).
% 0.12/0.39 tff(61,plain,
% 0.12/0.39 (^[X: $i, T0: $i, T: $i] : trans(monotonicity(rewrite(((greater(external_ties(X, T), external_ties(X, T0)) => greater(position(X, T), position(X, T0))) & ((external_ties(X, T) = external_ties(X, T0)) => (position(X, T) = position(X, T0)))) <=> (((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0))) & ((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0))))), ((organization(X) => ((greater(external_ties(X, T), external_ties(X, T0)) => greater(position(X, T), position(X, T0))) & ((external_ties(X, T) = external_ties(X, T0)) => (position(X, T) = position(X, T0))))) <=> (organization(X) => (((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0))) & ((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0))))))), rewrite((organization(X) => (((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0))) & ((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0))))) <=> ((~organization(X)) | (((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0))) & ((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0)))))), ((organization(X) => ((greater(external_ties(X, T), external_ties(X, T0)) => greater(position(X, T), position(X, T0))) & ((external_ties(X, T) = external_ties(X, T0)) => (position(X, T) = position(X, T0))))) <=> ((~organization(X)) | (((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0))) & ((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0)))))))),
% 0.12/0.40 inference(bind,[status(th)],[])).
% 0.12/0.40 tff(62,plain,
% 0.12/0.40 (![X: $i, T0: $i, T: $i] : (organization(X) => ((greater(external_ties(X, T), external_ties(X, T0)) => greater(position(X, T), position(X, T0))) & ((external_ties(X, T) = external_ties(X, T0)) => (position(X, T) = position(X, T0))))) <=> ![X: $i, T0: $i, T: $i] : ((~organization(X)) | (((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0))) & ((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0)))))),
% 0.12/0.40 inference(quant_intro,[status(thm)],[61])).
% 0.12/0.40 tff(63,axiom,(![X: $i, T0: $i, T: $i] : (organization(X) => ((greater(external_ties(X, T), external_ties(X, T0)) => greater(position(X, T), position(X, T0))) & ((external_ties(X, T) = external_ties(X, T0)) => (position(X, T) = position(X, T0)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','assumption_6')).
% 0.12/0.40 tff(64,plain,
% 0.12/0.40 (![X: $i, T0: $i, T: $i] : ((~organization(X)) | (((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0))) & ((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0)))))),
% 0.12/0.40 inference(modus_ponens,[status(thm)],[63, 62])).
% 0.12/0.40 tff(65,plain,
% 0.12/0.40 (![X: $i, T0: $i, T: $i] : ((~organization(X)) | (((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0))) & ((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0)))))),
% 0.12/0.40 inference(modus_ponens,[status(thm)],[64, 60])).
% 0.12/0.40 tff(66,plain,(
% 0.12/0.40 ![X: $i, T0: $i, T: $i] : ((~organization(X)) | (((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0))) & ((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0)))))),
% 0.12/0.40 inference(skolemize,[status(sab)],[65])).
% 0.12/0.40 tff(67,plain,
% 0.12/0.40 (![X: $i, T0: $i, T: $i] : ((~organization(X)) | (~((~((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0)))) | (~((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0)))))))),
% 0.12/0.40 inference(modus_ponens,[status(thm)],[66, 59])).
% 0.12/0.40 tff(68,plain,
% 0.12/0.40 (![X: $i, T0: $i, T: $i] : ((~organization(X)) | (~((~((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0)))) | (~((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0)))))))),
% 0.12/0.40 inference(modus_ponens,[status(thm)],[67, 57])).
% 0.12/0.40 tff(69,plain,
% 0.12/0.40 (((~![X: $i, T0: $i, T: $i] : ((~organization(X)) | (~((~((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0)))) | (~((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0)))))))) | ((~organization(X!5)) | (~((~((~greater(external_ties(X!5, T2!2), external_ties(X!5, T3!1))) | greater(position(X!5, T2!2), position(X!5, T3!1)))) | (~((~(external_ties(X!5, T2!2) = external_ties(X!5, T3!1))) | (position(X!5, T2!2) = position(X!5, T3!1)))))))) <=> ((~![X: $i, T0: $i, T: $i] : ((~organization(X)) | (~((~((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0)))) | (~((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0)))))))) | (~organization(X!5)) | (~((~((~greater(external_ties(X!5, T2!2), external_ties(X!5, T3!1))) | greater(position(X!5, T2!2), position(X!5, T3!1)))) | (~((~(external_ties(X!5, T2!2) = external_ties(X!5, T3!1))) | (position(X!5, T2!2) = position(X!5, T3!1)))))))),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(70,plain,
% 0.19/0.40 ((~![X: $i, T0: $i, T: $i] : ((~organization(X)) | (~((~((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0)))) | (~((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0)))))))) | ((~organization(X!5)) | (~((~((~greater(external_ties(X!5, T2!2), external_ties(X!5, T3!1))) | greater(position(X!5, T2!2), position(X!5, T3!1)))) | (~((~(external_ties(X!5, T2!2) = external_ties(X!5, T3!1))) | (position(X!5, T2!2) = position(X!5, T3!1)))))))),
% 0.19/0.40 inference(quant_inst,[status(thm)],[])).
% 0.19/0.40 tff(71,plain,
% 0.19/0.40 ((~![X: $i, T0: $i, T: $i] : ((~organization(X)) | (~((~((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0)))) | (~((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0)))))))) | (~organization(X!5)) | (~((~((~greater(external_ties(X!5, T2!2), external_ties(X!5, T3!1))) | greater(position(X!5, T2!2), position(X!5, T3!1)))) | (~((~(external_ties(X!5, T2!2) = external_ties(X!5, T3!1))) | (position(X!5, T2!2) = position(X!5, T3!1))))))),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[70, 69])).
% 0.19/0.40 tff(72,plain,
% 0.19/0.40 ($false),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[71, 68, 13, 55])).
% 0.19/0.40 tff(73,plain,(~((~((~greater(external_ties(X!5, T2!2), external_ties(X!5, T3!1))) | greater(position(X!5, T2!2), position(X!5, T3!1)))) | (~((~(external_ties(X!5, T2!2) = external_ties(X!5, T3!1))) | (position(X!5, T2!2) = position(X!5, T3!1)))))), inference(lemma,lemma(discharge,[]))).
% 0.19/0.40 tff(74,plain,
% 0.19/0.40 (((~((~greater(external_ties(X!5, T2!2), external_ties(X!5, T3!1))) | greater(position(X!5, T2!2), position(X!5, T3!1)))) | (~((~(external_ties(X!5, T2!2) = external_ties(X!5, T3!1))) | (position(X!5, T2!2) = position(X!5, T3!1))))) | ((~(external_ties(X!5, T2!2) = external_ties(X!5, T3!1))) | (position(X!5, T2!2) = position(X!5, T3!1)))),
% 0.19/0.40 inference(tautology,[status(thm)],[])).
% 0.19/0.40 tff(75,plain,
% 0.19/0.40 ((~(external_ties(X!5, T2!2) = external_ties(X!5, T3!1))) | (position(X!5, T2!2) = position(X!5, T3!1))),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[74, 73])).
% 0.19/0.40 tff(76,assumption,(~(external_ties(X!5, T2!2) = external_ties(X!5, T3!1))), introduced(assumption)).
% 0.19/0.40 tff(77,plain,
% 0.19/0.40 (^[X: $i, T0: $i, T: $i] : refl(((~organization(X)) | (external_ties(X, T) = external_ties(X, T0))) <=> ((~organization(X)) | (external_ties(X, T) = external_ties(X, T0))))),
% 0.19/0.40 inference(bind,[status(th)],[])).
% 0.19/0.40 tff(78,plain,
% 0.19/0.40 (![X: $i, T0: $i, T: $i] : ((~organization(X)) | (external_ties(X, T) = external_ties(X, T0))) <=> ![X: $i, T0: $i, T: $i] : ((~organization(X)) | (external_ties(X, T) = external_ties(X, T0)))),
% 0.19/0.40 inference(quant_intro,[status(thm)],[77])).
% 0.19/0.40 tff(79,plain,
% 0.19/0.40 (![X: $i, T0: $i, T: $i] : ((~organization(X)) | (external_ties(X, T) = external_ties(X, T0))) <=> ![X: $i, T0: $i, T: $i] : ((~organization(X)) | (external_ties(X, T) = external_ties(X, T0)))),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(80,plain,
% 0.19/0.40 (^[X: $i, T0: $i, T: $i] : rewrite((organization(X) => (external_ties(X, T) = external_ties(X, T0))) <=> ((~organization(X)) | (external_ties(X, T) = external_ties(X, T0))))),
% 0.19/0.40 inference(bind,[status(th)],[])).
% 0.19/0.40 tff(81,plain,
% 0.19/0.40 (![X: $i, T0: $i, T: $i] : (organization(X) => (external_ties(X, T) = external_ties(X, T0))) <=> ![X: $i, T0: $i, T: $i] : ((~organization(X)) | (external_ties(X, T) = external_ties(X, T0)))),
% 0.19/0.40 inference(quant_intro,[status(thm)],[80])).
% 0.19/0.40 tff(82,axiom,(![X: $i, T0: $i, T: $i] : (organization(X) => (external_ties(X, T) = external_ties(X, T0)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','assumption_11')).
% 0.19/0.40 tff(83,plain,
% 0.19/0.40 (![X: $i, T0: $i, T: $i] : ((~organization(X)) | (external_ties(X, T) = external_ties(X, T0)))),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[82, 81])).
% 0.19/0.40 tff(84,plain,
% 0.19/0.40 (![X: $i, T0: $i, T: $i] : ((~organization(X)) | (external_ties(X, T) = external_ties(X, T0)))),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[83, 79])).
% 0.19/0.40 tff(85,plain,(
% 0.19/0.40 ![X: $i, T0: $i, T: $i] : ((~organization(X)) | (external_ties(X, T) = external_ties(X, T0)))),
% 0.19/0.40 inference(skolemize,[status(sab)],[84])).
% 0.19/0.40 tff(86,plain,
% 0.19/0.40 (![X: $i, T0: $i, T: $i] : ((~organization(X)) | (external_ties(X, T) = external_ties(X, T0)))),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[85, 78])).
% 0.19/0.40 tff(87,plain,
% 0.19/0.40 (((~![X: $i, T0: $i, T: $i] : ((~organization(X)) | (external_ties(X, T) = external_ties(X, T0)))) | ((~organization(X!5)) | (external_ties(X!5, T2!2) = external_ties(X!5, T3!1)))) <=> ((~![X: $i, T0: $i, T: $i] : ((~organization(X)) | (external_ties(X, T) = external_ties(X, T0)))) | (~organization(X!5)) | (external_ties(X!5, T2!2) = external_ties(X!5, T3!1)))),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(88,plain,
% 0.19/0.40 ((~![X: $i, T0: $i, T: $i] : ((~organization(X)) | (external_ties(X, T) = external_ties(X, T0)))) | ((~organization(X!5)) | (external_ties(X!5, T2!2) = external_ties(X!5, T3!1)))),
% 0.19/0.40 inference(quant_inst,[status(thm)],[])).
% 0.19/0.40 tff(89,plain,
% 0.19/0.40 ((~![X: $i, T0: $i, T: $i] : ((~organization(X)) | (external_ties(X, T) = external_ties(X, T0)))) | (~organization(X!5)) | (external_ties(X!5, T2!2) = external_ties(X!5, T3!1))),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[88, 87])).
% 0.19/0.40 tff(90,plain,
% 0.19/0.40 ($false),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[89, 86, 13, 76])).
% 0.19/0.40 tff(91,plain,(external_ties(X!5, T2!2) = external_ties(X!5, T3!1)), inference(lemma,lemma(discharge,[]))).
% 0.19/0.40 tff(92,plain,
% 0.19/0.40 ((~((~(external_ties(X!5, T2!2) = external_ties(X!5, T3!1))) | (position(X!5, T2!2) = position(X!5, T3!1)))) | (~(external_ties(X!5, T2!2) = external_ties(X!5, T3!1))) | (position(X!5, T2!2) = position(X!5, T3!1))),
% 0.19/0.40 inference(tautology,[status(thm)],[])).
% 0.19/0.40 tff(93,plain,
% 0.19/0.40 ((~((~(external_ties(X!5, T2!2) = external_ties(X!5, T3!1))) | (position(X!5, T2!2) = position(X!5, T3!1)))) | (position(X!5, T2!2) = position(X!5, T3!1))),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[92, 91])).
% 0.19/0.40 tff(94,plain,
% 0.19/0.40 (position(X!5, T2!2) = position(X!5, T3!1)),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[93, 75])).
% 0.19/0.40 tff(95,plain,
% 0.19/0.40 (((position(X!5, T2!2) = position(X!5, T3!1)) | greater(position(X!5, T2!2), position(X!5, T3!1))) | (~(position(X!5, T2!2) = position(X!5, T3!1)))),
% 0.19/0.40 inference(tautology,[status(thm)],[])).
% 0.19/0.40 tff(96,plain,
% 0.19/0.40 ((position(X!5, T2!2) = position(X!5, T3!1)) | greater(position(X!5, T2!2), position(X!5, T3!1))),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[95, 94])).
% 0.19/0.40 tff(97,plain,
% 0.19/0.40 ((~(greater_or_equal(position(X!5, T2!2), position(X!5, T3!1)) <=> ((position(X!5, T2!2) = position(X!5, T3!1)) | greater(position(X!5, T2!2), position(X!5, T3!1))))) | greater_or_equal(position(X!5, T2!2), position(X!5, T3!1)) | (~((position(X!5, T2!2) = position(X!5, T3!1)) | greater(position(X!5, T2!2), position(X!5, T3!1))))),
% 0.19/0.40 inference(tautology,[status(thm)],[])).
% 0.19/0.40 tff(98,plain,
% 0.19/0.40 ((~(greater_or_equal(position(X!5, T2!2), position(X!5, T3!1)) <=> ((position(X!5, T2!2) = position(X!5, T3!1)) | greater(position(X!5, T2!2), position(X!5, T3!1))))) | greater_or_equal(position(X!5, T2!2), position(X!5, T3!1))),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[97, 96])).
% 0.19/0.40 tff(99,plain,
% 0.19/0.40 (greater_or_equal(position(X!5, T2!2), position(X!5, T3!1))),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[98, 54])).
% 0.19/0.40 tff(100,plain,
% 0.19/0.40 (^[X: $i] : rewrite((~((~((~has_endowment(X)) | ![T: $i] : (~((~organization(X)) | (~((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T))) | (~((~has_immunity(X, T)) | (~greater(age(X, T), eta)))))))) | (~(has_endowment(X) | (~organization(X)) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X)))) | (~((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta)))))))) <=> (~((~(has_endowment(X) | (~organization(X)) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X)))) | (~((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta)))))) | (~((~has_endowment(X)) | ![T: $i] : (~((~organization(X)) | (~((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T))) | (~((~has_immunity(X, T)) | (~greater(age(X, T), eta)))))))))))),
% 0.19/0.40 inference(bind,[status(th)],[])).
% 0.19/0.40 tff(101,plain,
% 0.19/0.40 (![X: $i] : (~((~((~has_endowment(X)) | ![T: $i] : (~((~organization(X)) | (~((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T))) | (~((~has_immunity(X, T)) | (~greater(age(X, T), eta)))))))) | (~(has_endowment(X) | (~organization(X)) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X)))) | (~((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta)))))))) <=> ![X: $i] : (~((~(has_endowment(X) | (~organization(X)) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X)))) | (~((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta)))))) | (~((~has_endowment(X)) | ![T: $i] : (~((~organization(X)) | (~((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T))) | (~((~has_immunity(X, T)) | (~greater(age(X, T), eta))))))))))),
% 0.19/0.40 inference(quant_intro,[status(thm)],[100])).
% 0.19/0.40 tff(102,plain,
% 0.19/0.40 (^[X: $i] : refl((~((~((~has_endowment(X)) | ![T: $i] : (~((~organization(X)) | (~((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T))) | (~((~has_immunity(X, T)) | (~greater(age(X, T), eta)))))))) | (~(has_endowment(X) | (~organization(X)) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X)))) | (~((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta)))))))) <=> (~((~((~has_endowment(X)) | ![T: $i] : (~((~organization(X)) | (~((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T))) | (~((~has_immunity(X, T)) | (~greater(age(X, T), eta)))))))) | (~(has_endowment(X) | (~organization(X)) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X)))) | (~((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta)))))))))),
% 0.19/0.40 inference(bind,[status(th)],[])).
% 0.19/0.40 tff(103,plain,
% 0.19/0.40 (![X: $i] : (~((~((~has_endowment(X)) | ![T: $i] : (~((~organization(X)) | (~((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T))) | (~((~has_immunity(X, T)) | (~greater(age(X, T), eta)))))))) | (~(has_endowment(X) | (~organization(X)) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X)))) | (~((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta)))))))) <=> ![X: $i] : (~((~((~has_endowment(X)) | ![T: $i] : (~((~organization(X)) | (~((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T))) | (~((~has_immunity(X, T)) | (~greater(age(X, T), eta)))))))) | (~(has_endowment(X) | (~organization(X)) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X)))) | (~((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta))))))))),
% 0.19/0.40 inference(quant_intro,[status(thm)],[102])).
% 0.19/0.40 tff(104,plain,
% 0.19/0.40 (^[X: $i] : rewrite((~((~((~has_endowment(X)) | ![T: $i] : (~((~organization(X)) | (~((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T))) | (~((~has_immunity(X, T)) | (~greater(age(X, T), eta)))))))) | (~(has_endowment(X) | (~organization(X)) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X)))) | (~((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta)))))))) <=> (~((~((~has_endowment(X)) | ![T: $i] : (~((~organization(X)) | (~((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T))) | (~((~has_immunity(X, T)) | (~greater(age(X, T), eta)))))))) | (~(has_endowment(X) | (~organization(X)) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X)))) | (~((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta)))))))))),
% 0.19/0.40 inference(bind,[status(th)],[])).
% 0.19/0.40 tff(105,plain,
% 0.19/0.40 (![X: $i] : (~((~((~has_endowment(X)) | ![T: $i] : (~((~organization(X)) | (~((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T))) | (~((~has_immunity(X, T)) | (~greater(age(X, T), eta)))))))) | (~(has_endowment(X) | (~organization(X)) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X)))) | (~((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta)))))))) <=> ![X: $i] : (~((~((~has_endowment(X)) | ![T: $i] : (~((~organization(X)) | (~((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T))) | (~((~has_immunity(X, T)) | (~greater(age(X, T), eta)))))))) | (~(has_endowment(X) | (~organization(X)) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X)))) | (~((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta))))))))),
% 0.19/0.41 inference(quant_intro,[status(thm)],[104])).
% 0.19/0.41 tff(106,plain,
% 0.19/0.41 (![X: $i] : (~((~((~has_endowment(X)) | ![T: $i] : (~((~organization(X)) | (~((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T))) | (~((~has_immunity(X, T)) | (~greater(age(X, T), eta)))))))) | (~(has_endowment(X) | (~organization(X)) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X)))) | (~((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta)))))))) <=> ![X: $i] : (~((~((~has_endowment(X)) | ![T: $i] : (~((~organization(X)) | (~((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T))) | (~((~has_immunity(X, T)) | (~greater(age(X, T), eta)))))))) | (~(has_endowment(X) | (~organization(X)) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X)))) | (~((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta))))))))),
% 0.19/0.41 inference(transitivity,[status(thm)],[105, 103])).
% 0.19/0.41 tff(107,plain,
% 0.19/0.41 (^[X: $i] : trans(monotonicity(rewrite(((~has_endowment(X)) | ![T: $i] : (organization(X) & ((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T)) & ((~has_immunity(X, T)) | (~greater(age(X, T), eta))))) <=> ((~has_endowment(X)) | ![T: $i] : (~((~organization(X)) | (~((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T))) | (~((~has_immunity(X, T)) | (~greater(age(X, T), eta)))))))), trans(monotonicity(trans(monotonicity(rewrite((organization(X) & ((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X))) & ((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta)))) <=> (~((~organization(X)) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X)))) | (~((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta))))))), ((~(organization(X) & ((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X))) & ((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta))))) <=> (~(~((~organization(X)) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X)))) | (~((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta))))))))), rewrite((~(~((~organization(X)) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X)))) | (~((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta))))))) <=> ((~organization(X)) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X)))) | (~((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta)))))), ((~(organization(X) & ((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X))) & ((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta))))) <=> ((~organization(X)) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X)))) | (~((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta))))))), ((has_endowment(X) | (~(organization(X) & ((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X))) & ((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta)))))) <=> (has_endowment(X) | ((~organization(X)) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X)))) | (~((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta)))))))), rewrite((has_endowment(X) | ((~organization(X)) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X)))) | (~((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta)))))) <=> (has_endowment(X) | (~organization(X)) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X)))) | (~((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta)))))), ((has_endowment(X) | (~(organization(X) & ((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X))) & ((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta)))))) <=> (has_endowment(X) | (~organization(X)) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X)))) | (~((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta))))))), ((((~has_endowment(X)) | ![T: $i] : (organization(X) & ((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T)) & ((~has_immunity(X, T)) | (~greater(age(X, T), eta))))) & (has_endowment(X) | (~(organization(X) & ((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X))) & ((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta))))))) <=> (((~has_endowment(X)) | ![T: $i] : (~((~organization(X)) | (~((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T))) | (~((~has_immunity(X, T)) | (~greater(age(X, T), eta))))))) & (has_endowment(X) | (~organization(X)) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X)))) | (~((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta)))))))), rewrite((((~has_endowment(X)) | ![T: $i] : (~((~organization(X)) | (~((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T))) | (~((~has_immunity(X, T)) | (~greater(age(X, T), eta))))))) & (has_endowment(X) | (~organization(X)) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X)))) | (~((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta)))))) <=> (~((~((~has_endowment(X)) | ![T: $i] : (~((~organization(X)) | (~((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T))) | (~((~has_immunity(X, T)) | (~greater(age(X, T), eta)))))))) | (~(has_endowment(X) | (~organization(X)) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X)))) | (~((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta))))))))), ((((~has_endowment(X)) | ![T: $i] : (organization(X) & ((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T)) & ((~has_immunity(X, T)) | (~greater(age(X, T), eta))))) & (has_endowment(X) | (~(organization(X) & ((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X))) & ((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta))))))) <=> (~((~((~has_endowment(X)) | ![T: $i] : (~((~organization(X)) | (~((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T))) | (~((~has_immunity(X, T)) | (~greater(age(X, T), eta)))))))) | (~(has_endowment(X) | (~organization(X)) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X)))) | (~((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta))))))))))),
% 0.19/0.41 inference(bind,[status(th)],[])).
% 0.19/0.41 tff(108,plain,
% 0.19/0.41 (![X: $i] : (((~has_endowment(X)) | ![T: $i] : (organization(X) & ((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T)) & ((~has_immunity(X, T)) | (~greater(age(X, T), eta))))) & (has_endowment(X) | (~(organization(X) & ((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X))) & ((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta))))))) <=> ![X: $i] : (~((~((~has_endowment(X)) | ![T: $i] : (~((~organization(X)) | (~((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T))) | (~((~has_immunity(X, T)) | (~greater(age(X, T), eta)))))))) | (~(has_endowment(X) | (~organization(X)) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X)))) | (~((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta))))))))),
% 0.19/0.41 inference(quant_intro,[status(thm)],[107])).
% 0.19/0.41 tff(109,plain,
% 0.19/0.41 (![X: $i] : (has_endowment(X) <=> ![T: $i] : (organization(X) & ((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T)) & ((~has_immunity(X, T)) | (~greater(age(X, T), eta))))) <=> ![X: $i] : (has_endowment(X) <=> ![T: $i] : (organization(X) & ((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T)) & ((~has_immunity(X, T)) | (~greater(age(X, T), eta)))))),
% 0.19/0.41 inference(rewrite,[status(thm)],[])).
% 0.19/0.41 tff(110,plain,
% 0.19/0.41 (^[X: $i] : rewrite((has_endowment(X) <=> ![T: $i] : ((organization(X) & (smaller_or_equal(age(X, T), eta) => has_immunity(X, T))) & (greater(age(X, T), eta) => (~has_immunity(X, T))))) <=> (has_endowment(X) <=> ![T: $i] : (organization(X) & ((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T)) & ((~has_immunity(X, T)) | (~greater(age(X, T), eta))))))),
% 0.19/0.41 inference(bind,[status(th)],[])).
% 0.19/0.41 tff(111,plain,
% 0.19/0.41 (![X: $i] : (has_endowment(X) <=> ![T: $i] : ((organization(X) & (smaller_or_equal(age(X, T), eta) => has_immunity(X, T))) & (greater(age(X, T), eta) => (~has_immunity(X, T))))) <=> ![X: $i] : (has_endowment(X) <=> ![T: $i] : (organization(X) & ((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T)) & ((~has_immunity(X, T)) | (~greater(age(X, T), eta)))))),
% 0.19/0.41 inference(quant_intro,[status(thm)],[110])).
% 0.19/0.41 tff(112,axiom,(![X: $i] : (has_endowment(X) <=> ![T: $i] : ((organization(X) & (smaller_or_equal(age(X, T), eta) => has_immunity(X, T))) & (greater(age(X, T), eta) => (~has_immunity(X, T)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','definition_1')).
% 0.19/0.41 tff(113,plain,
% 0.19/0.41 (![X: $i] : (has_endowment(X) <=> ![T: $i] : (organization(X) & ((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T)) & ((~has_immunity(X, T)) | (~greater(age(X, T), eta)))))),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[112, 111])).
% 0.19/0.41 tff(114,plain,
% 0.19/0.41 (![X: $i] : (has_endowment(X) <=> ![T: $i] : (organization(X) & ((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T)) & ((~has_immunity(X, T)) | (~greater(age(X, T), eta)))))),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[113, 109])).
% 0.19/0.41 tff(115,plain,(
% 0.19/0.41 ![X: $i] : (((~has_endowment(X)) | ![T: $i] : (organization(X) & ((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T)) & ((~has_immunity(X, T)) | (~greater(age(X, T), eta))))) & (has_endowment(X) | (~(organization(X) & ((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X))) & ((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta)))))))),
% 0.19/0.41 inference(skolemize,[status(sab)],[114])).
% 0.19/0.41 tff(116,plain,
% 0.19/0.41 (![X: $i] : (~((~((~has_endowment(X)) | ![T: $i] : (~((~organization(X)) | (~((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T))) | (~((~has_immunity(X, T)) | (~greater(age(X, T), eta)))))))) | (~(has_endowment(X) | (~organization(X)) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X)))) | (~((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta))))))))),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[115, 108])).
% 0.19/0.41 tff(117,plain,
% 0.19/0.41 (![X: $i] : (~((~((~has_endowment(X)) | ![T: $i] : (~((~organization(X)) | (~((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T))) | (~((~has_immunity(X, T)) | (~greater(age(X, T), eta)))))))) | (~(has_endowment(X) | (~organization(X)) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X)))) | (~((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta))))))))),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[116, 106])).
% 0.19/0.41 tff(118,plain,
% 0.19/0.41 (![X: $i] : (~((~(has_endowment(X) | (~organization(X)) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X)))) | (~((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta)))))) | (~((~has_endowment(X)) | ![T: $i] : (~((~organization(X)) | (~((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T))) | (~((~has_immunity(X, T)) | (~greater(age(X, T), eta))))))))))),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[117, 101])).
% 0.19/0.41 tff(119,plain,
% 0.19/0.41 ((~![X: $i] : (~((~(has_endowment(X) | (~organization(X)) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X)))) | (~((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta)))))) | (~((~has_endowment(X)) | ![T: $i] : (~((~organization(X)) | (~((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T))) | (~((~has_immunity(X, T)) | (~greater(age(X, T), eta))))))))))) | (~((~(has_endowment(X!5) | (~organization(X!5)) | (~((~smaller_or_equal(age(X!5, tptp_fun_T_0(X!5)), eta)) | has_immunity(X!5, tptp_fun_T_0(X!5)))) | (~((~has_immunity(X!5, tptp_fun_T_0(X!5))) | (~greater(age(X!5, tptp_fun_T_0(X!5)), eta)))))) | (~((~has_endowment(X!5)) | ![T: $i] : (~((~organization(X!5)) | (~((~smaller_or_equal(age(X!5, T), eta)) | has_immunity(X!5, T))) | (~((~has_immunity(X!5, T)) | (~greater(age(X!5, T), eta))))))))))),
% 0.19/0.41 inference(quant_inst,[status(thm)],[])).
% 0.19/0.41 tff(120,plain,
% 0.19/0.41 (~((~(has_endowment(X!5) | (~organization(X!5)) | (~((~smaller_or_equal(age(X!5, tptp_fun_T_0(X!5)), eta)) | has_immunity(X!5, tptp_fun_T_0(X!5)))) | (~((~has_immunity(X!5, tptp_fun_T_0(X!5))) | (~greater(age(X!5, tptp_fun_T_0(X!5)), eta)))))) | (~((~has_endowment(X!5)) | ![T: $i] : (~((~organization(X!5)) | (~((~smaller_or_equal(age(X!5, T), eta)) | has_immunity(X!5, T))) | (~((~has_immunity(X!5, T)) | (~greater(age(X!5, T), eta)))))))))),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[119, 118])).
% 0.19/0.41 tff(121,plain,
% 0.19/0.41 (((~(has_endowment(X!5) | (~organization(X!5)) | (~((~smaller_or_equal(age(X!5, tptp_fun_T_0(X!5)), eta)) | has_immunity(X!5, tptp_fun_T_0(X!5)))) | (~((~has_immunity(X!5, tptp_fun_T_0(X!5))) | (~greater(age(X!5, tptp_fun_T_0(X!5)), eta)))))) | (~((~has_endowment(X!5)) | ![T: $i] : (~((~organization(X!5)) | (~((~smaller_or_equal(age(X!5, T), eta)) | has_immunity(X!5, T))) | (~((~has_immunity(X!5, T)) | (~greater(age(X!5, T), eta))))))))) | ((~has_endowment(X!5)) | ![T: $i] : (~((~organization(X!5)) | (~((~smaller_or_equal(age(X!5, T), eta)) | has_immunity(X!5, T))) | (~((~has_immunity(X!5, T)) | (~greater(age(X!5, T), eta)))))))),
% 0.19/0.41 inference(tautology,[status(thm)],[])).
% 0.19/0.41 tff(122,plain,
% 0.19/0.41 ((~has_endowment(X!5)) | ![T: $i] : (~((~organization(X!5)) | (~((~smaller_or_equal(age(X!5, T), eta)) | has_immunity(X!5, T))) | (~((~has_immunity(X!5, T)) | (~greater(age(X!5, T), eta))))))),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[121, 120])).
% 0.19/0.41 tff(123,plain,
% 0.19/0.41 (has_endowment(X!5)),
% 0.19/0.41 inference(and_elim,[status(thm)],[12])).
% 0.19/0.41 tff(124,plain,
% 0.19/0.41 ((~((~has_endowment(X!5)) | ![T: $i] : (~((~organization(X!5)) | (~((~smaller_or_equal(age(X!5, T), eta)) | has_immunity(X!5, T))) | (~((~has_immunity(X!5, T)) | (~greater(age(X!5, T), eta)))))))) | (~has_endowment(X!5)) | ![T: $i] : (~((~organization(X!5)) | (~((~smaller_or_equal(age(X!5, T), eta)) | has_immunity(X!5, T))) | (~((~has_immunity(X!5, T)) | (~greater(age(X!5, T), eta))))))),
% 0.19/0.41 inference(tautology,[status(thm)],[])).
% 0.19/0.41 tff(125,plain,
% 0.19/0.41 ((~((~has_endowment(X!5)) | ![T: $i] : (~((~organization(X!5)) | (~((~smaller_or_equal(age(X!5, T), eta)) | has_immunity(X!5, T))) | (~((~has_immunity(X!5, T)) | (~greater(age(X!5, T), eta)))))))) | ![T: $i] : (~((~organization(X!5)) | (~((~smaller_or_equal(age(X!5, T), eta)) | has_immunity(X!5, T))) | (~((~has_immunity(X!5, T)) | (~greater(age(X!5, T), eta))))))),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[124, 123])).
% 0.19/0.41 tff(126,plain,
% 0.19/0.41 (![T: $i] : (~((~organization(X!5)) | (~((~smaller_or_equal(age(X!5, T), eta)) | has_immunity(X!5, T))) | (~((~has_immunity(X!5, T)) | (~greater(age(X!5, T), eta))))))),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[125, 122])).
% 0.19/0.41 tff(127,plain,
% 0.19/0.41 ((~![T: $i] : (~((~organization(X!5)) | (~((~smaller_or_equal(age(X!5, T), eta)) | has_immunity(X!5, T))) | (~((~has_immunity(X!5, T)) | (~greater(age(X!5, T), eta))))))) | (~((~organization(X!5)) | (~((~smaller_or_equal(age(X!5, T3!1), eta)) | has_immunity(X!5, T3!1))) | (~((~has_immunity(X!5, T3!1)) | (~greater(age(X!5, T3!1), eta))))))),
% 0.19/0.41 inference(quant_inst,[status(thm)],[])).
% 0.19/0.41 tff(128,plain,
% 0.19/0.41 (~((~organization(X!5)) | (~((~smaller_or_equal(age(X!5, T3!1), eta)) | has_immunity(X!5, T3!1))) | (~((~has_immunity(X!5, T3!1)) | (~greater(age(X!5, T3!1), eta)))))),
% 0.19/0.42 inference(unit_resolution,[status(thm)],[127, 126])).
% 0.19/0.42 tff(129,plain,
% 0.19/0.42 (((~organization(X!5)) | (~((~smaller_or_equal(age(X!5, T3!1), eta)) | has_immunity(X!5, T3!1))) | (~((~has_immunity(X!5, T3!1)) | (~greater(age(X!5, T3!1), eta))))) | ((~has_immunity(X!5, T3!1)) | (~greater(age(X!5, T3!1), eta)))),
% 0.19/0.42 inference(tautology,[status(thm)],[])).
% 0.19/0.42 tff(130,plain,
% 0.19/0.42 ((~has_immunity(X!5, T3!1)) | (~greater(age(X!5, T3!1), eta))),
% 0.19/0.42 inference(unit_resolution,[status(thm)],[129, 128])).
% 0.19/0.42 tff(131,plain,
% 0.19/0.42 (greater(age(X!5, T3!1), age(X!5, T2!2))),
% 0.19/0.42 inference(and_elim,[status(thm)],[12])).
% 0.19/0.42 tff(132,plain,
% 0.19/0.42 (greater(age(X!5, T2!2), eta)),
% 0.19/0.42 inference(and_elim,[status(thm)],[12])).
% 0.19/0.42 tff(133,plain,
% 0.19/0.42 (![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y))) <=> ![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))),
% 0.19/0.42 inference(rewrite,[status(thm)],[])).
% 0.19/0.42 tff(134,plain,
% 0.19/0.42 (^[X: $i, Y: $i, Z: $i] : trans(monotonicity(trans(monotonicity(rewrite((greater(X, Y) & greater(Y, Z)) <=> (~((~greater(Y, Z)) | (~greater(X, Y))))), ((~(greater(X, Y) & greater(Y, Z))) <=> (~(~((~greater(Y, Z)) | (~greater(X, Y))))))), rewrite((~(~((~greater(Y, Z)) | (~greater(X, Y))))) <=> ((~greater(Y, Z)) | (~greater(X, Y)))), ((~(greater(X, Y) & greater(Y, Z))) <=> ((~greater(Y, Z)) | (~greater(X, Y))))), (((~(greater(X, Y) & greater(Y, Z))) | greater(X, Z)) <=> (((~greater(Y, Z)) | (~greater(X, Y))) | greater(X, Z)))), rewrite((((~greater(Y, Z)) | (~greater(X, Y))) | greater(X, Z)) <=> (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))), (((~(greater(X, Y) & greater(Y, Z))) | greater(X, Z)) <=> (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))))),
% 0.19/0.42 inference(bind,[status(th)],[])).
% 0.19/0.42 tff(135,plain,
% 0.19/0.42 (![X: $i, Y: $i, Z: $i] : ((~(greater(X, Y) & greater(Y, Z))) | greater(X, Z)) <=> ![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))),
% 0.19/0.42 inference(quant_intro,[status(thm)],[134])).
% 0.19/0.42 tff(136,plain,
% 0.19/0.42 (![X: $i, Y: $i, Z: $i] : ((~(greater(X, Y) & greater(Y, Z))) | greater(X, Z)) <=> ![X: $i, Y: $i, Z: $i] : ((~(greater(X, Y) & greater(Y, Z))) | greater(X, Z))),
% 0.19/0.42 inference(rewrite,[status(thm)],[])).
% 0.19/0.42 tff(137,plain,
% 0.19/0.42 (^[X: $i, Y: $i, Z: $i] : rewrite(((greater(X, Y) & greater(Y, Z)) => greater(X, Z)) <=> ((~(greater(X, Y) & greater(Y, Z))) | greater(X, Z)))),
% 0.19/0.42 inference(bind,[status(th)],[])).
% 0.19/0.42 tff(138,plain,
% 0.19/0.42 (![X: $i, Y: $i, Z: $i] : ((greater(X, Y) & greater(Y, Z)) => greater(X, Z)) <=> ![X: $i, Y: $i, Z: $i] : ((~(greater(X, Y) & greater(Y, Z))) | greater(X, Z))),
% 0.19/0.42 inference(quant_intro,[status(thm)],[137])).
% 0.19/0.42 tff(139,axiom,(![X: $i, Y: $i, Z: $i] : ((greater(X, Y) & greater(Y, Z)) => greater(X, Z))), file('/export/starexec/sandbox2/benchmark/Axioms/MGT001+0.ax','meaning_postulate_greater_transitive')).
% 0.19/0.42 tff(140,plain,
% 0.19/0.42 (![X: $i, Y: $i, Z: $i] : ((~(greater(X, Y) & greater(Y, Z))) | greater(X, Z))),
% 0.19/0.42 inference(modus_ponens,[status(thm)],[139, 138])).
% 0.19/0.42 tff(141,plain,
% 0.19/0.42 (![X: $i, Y: $i, Z: $i] : ((~(greater(X, Y) & greater(Y, Z))) | greater(X, Z))),
% 0.19/0.42 inference(modus_ponens,[status(thm)],[140, 136])).
% 0.19/0.42 tff(142,plain,(
% 0.19/0.42 ![X: $i, Y: $i, Z: $i] : ((~(greater(X, Y) & greater(Y, Z))) | greater(X, Z))),
% 0.19/0.42 inference(skolemize,[status(sab)],[141])).
% 0.19/0.42 tff(143,plain,
% 0.19/0.42 (![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))),
% 0.19/0.42 inference(modus_ponens,[status(thm)],[142, 135])).
% 0.19/0.42 tff(144,plain,
% 0.19/0.42 (![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))),
% 0.19/0.42 inference(modus_ponens,[status(thm)],[143, 133])).
% 0.19/0.42 tff(145,plain,
% 0.19/0.42 (((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | ((~greater(age(X!5, T2!2), eta)) | (~greater(age(X!5, T3!1), age(X!5, T2!2))) | greater(age(X!5, T3!1), eta))) <=> ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (~greater(age(X!5, T2!2), eta)) | (~greater(age(X!5, T3!1), age(X!5, T2!2))) | greater(age(X!5, T3!1), eta))),
% 0.19/0.42 inference(rewrite,[status(thm)],[])).
% 0.19/0.42 tff(146,plain,
% 0.19/0.42 ((greater(age(X!5, T3!1), eta) | (~greater(age(X!5, T2!2), eta)) | (~greater(age(X!5, T3!1), age(X!5, T2!2)))) <=> ((~greater(age(X!5, T2!2), eta)) | (~greater(age(X!5, T3!1), age(X!5, T2!2))) | greater(age(X!5, T3!1), eta))),
% 0.19/0.42 inference(rewrite,[status(thm)],[])).
% 0.19/0.42 tff(147,plain,
% 0.19/0.42 (((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (greater(age(X!5, T3!1), eta) | (~greater(age(X!5, T2!2), eta)) | (~greater(age(X!5, T3!1), age(X!5, T2!2))))) <=> ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | ((~greater(age(X!5, T2!2), eta)) | (~greater(age(X!5, T3!1), age(X!5, T2!2))) | greater(age(X!5, T3!1), eta)))),
% 0.19/0.42 inference(monotonicity,[status(thm)],[146])).
% 0.19/0.42 tff(148,plain,
% 0.19/0.42 (((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (greater(age(X!5, T3!1), eta) | (~greater(age(X!5, T2!2), eta)) | (~greater(age(X!5, T3!1), age(X!5, T2!2))))) <=> ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (~greater(age(X!5, T2!2), eta)) | (~greater(age(X!5, T3!1), age(X!5, T2!2))) | greater(age(X!5, T3!1), eta))),
% 0.19/0.42 inference(transitivity,[status(thm)],[147, 145])).
% 0.19/0.42 tff(149,plain,
% 0.19/0.42 ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (greater(age(X!5, T3!1), eta) | (~greater(age(X!5, T2!2), eta)) | (~greater(age(X!5, T3!1), age(X!5, T2!2))))),
% 0.19/0.42 inference(quant_inst,[status(thm)],[])).
% 0.19/0.42 tff(150,plain,
% 0.19/0.42 ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (~greater(age(X!5, T2!2), eta)) | (~greater(age(X!5, T3!1), age(X!5, T2!2))) | greater(age(X!5, T3!1), eta)),
% 0.19/0.42 inference(modus_ponens,[status(thm)],[149, 148])).
% 0.19/0.42 tff(151,plain,
% 0.19/0.42 (greater(age(X!5, T3!1), eta)),
% 0.19/0.42 inference(unit_resolution,[status(thm)],[150, 144, 132, 131])).
% 0.19/0.42 tff(152,plain,
% 0.19/0.42 ((~((~has_immunity(X!5, T3!1)) | (~greater(age(X!5, T3!1), eta)))) | (~has_immunity(X!5, T3!1)) | (~greater(age(X!5, T3!1), eta))),
% 0.19/0.42 inference(tautology,[status(thm)],[])).
% 0.19/0.42 tff(153,plain,
% 0.19/0.42 ((~((~has_immunity(X!5, T3!1)) | (~greater(age(X!5, T3!1), eta)))) | (~has_immunity(X!5, T3!1))),
% 0.19/0.42 inference(unit_resolution,[status(thm)],[152, 151])).
% 0.19/0.42 tff(154,plain,
% 0.19/0.42 (~has_immunity(X!5, T3!1)),
% 0.19/0.42 inference(unit_resolution,[status(thm)],[153, 130])).
% 0.19/0.42 tff(155,plain,
% 0.19/0.42 ((~![T: $i] : (~((~organization(X!5)) | (~((~smaller_or_equal(age(X!5, T), eta)) | has_immunity(X!5, T))) | (~((~has_immunity(X!5, T)) | (~greater(age(X!5, T), eta))))))) | (~((~organization(X!5)) | (~((~smaller_or_equal(age(X!5, T2!2), eta)) | has_immunity(X!5, T2!2))) | (~((~has_immunity(X!5, T2!2)) | (~greater(age(X!5, T2!2), eta))))))),
% 0.19/0.42 inference(quant_inst,[status(thm)],[])).
% 0.19/0.42 tff(156,plain,
% 0.19/0.42 (~((~organization(X!5)) | (~((~smaller_or_equal(age(X!5, T2!2), eta)) | has_immunity(X!5, T2!2))) | (~((~has_immunity(X!5, T2!2)) | (~greater(age(X!5, T2!2), eta)))))),
% 0.19/0.42 inference(unit_resolution,[status(thm)],[155, 126])).
% 0.19/0.42 tff(157,plain,
% 0.19/0.42 (((~organization(X!5)) | (~((~smaller_or_equal(age(X!5, T2!2), eta)) | has_immunity(X!5, T2!2))) | (~((~has_immunity(X!5, T2!2)) | (~greater(age(X!5, T2!2), eta))))) | ((~has_immunity(X!5, T2!2)) | (~greater(age(X!5, T2!2), eta)))),
% 0.19/0.42 inference(tautology,[status(thm)],[])).
% 0.19/0.42 tff(158,plain,
% 0.19/0.42 ((~has_immunity(X!5, T2!2)) | (~greater(age(X!5, T2!2), eta))),
% 0.19/0.42 inference(unit_resolution,[status(thm)],[157, 156])).
% 0.19/0.42 tff(159,plain,
% 0.19/0.42 ((~((~has_immunity(X!5, T2!2)) | (~greater(age(X!5, T2!2), eta)))) | (~has_immunity(X!5, T2!2)) | (~greater(age(X!5, T2!2), eta))),
% 0.19/0.42 inference(tautology,[status(thm)],[])).
% 0.19/0.42 tff(160,plain,
% 0.19/0.42 ((~((~has_immunity(X!5, T2!2)) | (~greater(age(X!5, T2!2), eta)))) | (~has_immunity(X!5, T2!2))),
% 0.19/0.42 inference(unit_resolution,[status(thm)],[159, 132])).
% 0.19/0.42 tff(161,plain,
% 0.19/0.42 (~has_immunity(X!5, T2!2)),
% 0.19/0.42 inference(unit_resolution,[status(thm)],[160, 158])).
% 0.19/0.42 tff(162,plain,
% 0.19/0.42 (^[X: $i, T0: $i, T: $i] : refl((has_immunity(X, T) | has_immunity(X, T0) | (~organization(X)) | (~((~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater(capability(X, T), capability(X, T0))) | (~greater_or_equal(position(X, T), position(X, T0))))) | (~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater_or_equal(capability(X, T), capability(X, T0))) | (~greater(position(X, T), position(X, T0))))) | (~((hazard_of_mortality(X, T) = hazard_of_mortality(X, T0)) | (~(capability(X, T) = capability(X, T0))) | (~(position(X, T) = position(X, T0)))))))) <=> (has_immunity(X, T) | has_immunity(X, T0) | (~organization(X)) | (~((~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater(capability(X, T), capability(X, T0))) | (~greater_or_equal(position(X, T), position(X, T0))))) | (~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater_or_equal(capability(X, T), capability(X, T0))) | (~greater(position(X, T), position(X, T0))))) | (~((hazard_of_mortality(X, T) = hazard_of_mortality(X, T0)) | (~(capability(X, T) = capability(X, T0))) | (~(position(X, T) = position(X, T0)))))))))),
% 0.19/0.42 inference(bind,[status(th)],[])).
% 0.19/0.42 tff(163,plain,
% 0.19/0.42 (![X: $i, T0: $i, T: $i] : (has_immunity(X, T) | has_immunity(X, T0) | (~organization(X)) | (~((~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater(capability(X, T), capability(X, T0))) | (~greater_or_equal(position(X, T), position(X, T0))))) | (~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater_or_equal(capability(X, T), capability(X, T0))) | (~greater(position(X, T), position(X, T0))))) | (~((hazard_of_mortality(X, T) = hazard_of_mortality(X, T0)) | (~(capability(X, T) = capability(X, T0))) | (~(position(X, T) = position(X, T0)))))))) <=> ![X: $i, T0: $i, T: $i] : (has_immunity(X, T) | has_immunity(X, T0) | (~organization(X)) | (~((~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater(capability(X, T), capability(X, T0))) | (~greater_or_equal(position(X, T), position(X, T0))))) | (~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater_or_equal(capability(X, T), capability(X, T0))) | (~greater(position(X, T), position(X, T0))))) | (~((hazard_of_mortality(X, T) = hazard_of_mortality(X, T0)) | (~(capability(X, T) = capability(X, T0))) | (~(position(X, T) = position(X, T0))))))))),
% 0.19/0.42 inference(quant_intro,[status(thm)],[162])).
% 0.19/0.42 tff(164,plain,
% 0.19/0.42 (^[X: $i, T0: $i, T: $i] : trans(monotonicity(trans(monotonicity(rewrite((organization(X) & (~has_immunity(X, T0)) & (~has_immunity(X, T))) <=> (~(has_immunity(X, T) | has_immunity(X, T0) | (~organization(X))))), ((~(organization(X) & (~has_immunity(X, T0)) & (~has_immunity(X, T)))) <=> (~(~(has_immunity(X, T) | has_immunity(X, T0) | (~organization(X))))))), rewrite((~(~(has_immunity(X, T) | has_immunity(X, T0) | (~organization(X))))) <=> (has_immunity(X, T) | has_immunity(X, T0) | (~organization(X)))), ((~(organization(X) & (~has_immunity(X, T0)) & (~has_immunity(X, T)))) <=> (has_immunity(X, T) | has_immunity(X, T0) | (~organization(X))))), trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((greater(capability(X, T), capability(X, T0)) & greater_or_equal(position(X, T), position(X, T0))) <=> (~((~greater(capability(X, T), capability(X, T0))) | (~greater_or_equal(position(X, T), position(X, T0)))))), ((~(greater(capability(X, T), capability(X, T0)) & greater_or_equal(position(X, T), position(X, T0)))) <=> (~(~((~greater(capability(X, T), capability(X, T0))) | (~greater_or_equal(position(X, T), position(X, T0)))))))), rewrite((~(~((~greater(capability(X, T), capability(X, T0))) | (~greater_or_equal(position(X, T), position(X, T0)))))) <=> ((~greater(capability(X, T), capability(X, T0))) | (~greater_or_equal(position(X, T), position(X, T0))))), ((~(greater(capability(X, T), capability(X, T0)) & greater_or_equal(position(X, T), position(X, T0)))) <=> ((~greater(capability(X, T), capability(X, T0))) | (~greater_or_equal(position(X, T), position(X, T0)))))), (((~(greater(capability(X, T), capability(X, T0)) & greater_or_equal(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) <=> (((~greater(capability(X, T), capability(X, T0))) | (~greater_or_equal(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))))), rewrite((((~greater(capability(X, T), capability(X, T0))) | (~greater_or_equal(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) <=> (smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater(capability(X, T), capability(X, T0))) | (~greater_or_equal(position(X, T), position(X, T0))))), (((~(greater(capability(X, T), capability(X, T0)) & greater_or_equal(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) <=> (smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater(capability(X, T), capability(X, T0))) | (~greater_or_equal(position(X, T), position(X, T0)))))), trans(monotonicity(trans(monotonicity(rewrite((greater_or_equal(capability(X, T), capability(X, T0)) & greater(position(X, T), position(X, T0))) <=> (~((~greater_or_equal(capability(X, T), capability(X, T0))) | (~greater(position(X, T), position(X, T0)))))), ((~(greater_or_equal(capability(X, T), capability(X, T0)) & greater(position(X, T), position(X, T0)))) <=> (~(~((~greater_or_equal(capability(X, T), capability(X, T0))) | (~greater(position(X, T), position(X, T0)))))))), rewrite((~(~((~greater_or_equal(capability(X, T), capability(X, T0))) | (~greater(position(X, T), position(X, T0)))))) <=> ((~greater_or_equal(capability(X, T), capability(X, T0))) | (~greater(position(X, T), position(X, T0))))), ((~(greater_or_equal(capability(X, T), capability(X, T0)) & greater(position(X, T), position(X, T0)))) <=> ((~greater_or_equal(capability(X, T), capability(X, T0))) | (~greater(position(X, T), position(X, T0)))))), (((~(greater_or_equal(capability(X, T), capability(X, T0)) & greater(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) <=> (((~greater_or_equal(capability(X, T), capability(X, T0))) | (~greater(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))))), rewrite((((~greater_or_equal(capability(X, T), capability(X, T0))) | (~greater(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) <=> (smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater_or_equal(capability(X, T), capability(X, T0))) | (~greater(position(X, T), position(X, T0))))), (((~(greater_or_equal(capability(X, T), capability(X, T0)) & greater(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) <=> (smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater_or_equal(capability(X, T), capability(X, T0))) | (~greater(position(X, T), position(X, T0)))))), trans(monotonicity(trans(monotonicity(rewrite(((capability(X, T) = capability(X, T0)) & (position(X, T) = position(X, T0))) <=> (~((~(capability(X, T) = capability(X, T0))) | (~(position(X, T) = position(X, T0)))))), ((~((capability(X, T) = capability(X, T0)) & (position(X, T) = position(X, T0)))) <=> (~(~((~(capability(X, T) = capability(X, T0))) | (~(position(X, T) = position(X, T0)))))))), rewrite((~(~((~(capability(X, T) = capability(X, T0))) | (~(position(X, T) = position(X, T0)))))) <=> ((~(capability(X, T) = capability(X, T0))) | (~(position(X, T) = position(X, T0))))), ((~((capability(X, T) = capability(X, T0)) & (position(X, T) = position(X, T0)))) <=> ((~(capability(X, T) = capability(X, T0))) | (~(position(X, T) = position(X, T0)))))), (((~((capability(X, T) = capability(X, T0)) & (position(X, T) = position(X, T0)))) | (hazard_of_mortality(X, T) = hazard_of_mortality(X, T0))) <=> (((~(capability(X, T) = capability(X, T0))) | (~(position(X, T) = position(X, T0)))) | (hazard_of_mortality(X, T) = hazard_of_mortality(X, T0))))), rewrite((((~(capability(X, T) = capability(X, T0))) | (~(position(X, T) = position(X, T0)))) | (hazard_of_mortality(X, T) = hazard_of_mortality(X, T0))) <=> ((hazard_of_mortality(X, T) = hazard_of_mortality(X, T0)) | (~(capability(X, T) = capability(X, T0))) | (~(position(X, T) = position(X, T0))))), (((~((capability(X, T) = capability(X, T0)) & (position(X, T) = position(X, T0)))) | (hazard_of_mortality(X, T) = hazard_of_mortality(X, T0))) <=> ((hazard_of_mortality(X, T) = hazard_of_mortality(X, T0)) | (~(capability(X, T) = capability(X, T0))) | (~(position(X, T) = position(X, T0)))))), ((((~(greater(capability(X, T), capability(X, T0)) & greater_or_equal(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & ((~(greater_or_equal(capability(X, T), capability(X, T0)) & greater(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & ((~((capability(X, T) = capability(X, T0)) & (position(X, T) = position(X, T0)))) | (hazard_of_mortality(X, T) = hazard_of_mortality(X, T0)))) <=> ((smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater(capability(X, T), capability(X, T0))) | (~greater_or_equal(position(X, T), position(X, T0)))) & (smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater_or_equal(capability(X, T), capability(X, T0))) | (~greater(position(X, T), position(X, T0)))) & ((hazard_of_mortality(X, T) = hazard_of_mortality(X, T0)) | (~(capability(X, T) = capability(X, T0))) | (~(position(X, T) = position(X, T0))))))), rewrite(((smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater(capability(X, T), capability(X, T0))) | (~greater_or_equal(position(X, T), position(X, T0)))) & (smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater_or_equal(capability(X, T), capability(X, T0))) | (~greater(position(X, T), position(X, T0)))) & ((hazard_of_mortality(X, T) = hazard_of_mortality(X, T0)) | (~(capability(X, T) = capability(X, T0))) | (~(position(X, T) = position(X, T0))))) <=> (~((~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater(capability(X, T), capability(X, T0))) | (~greater_or_equal(position(X, T), position(X, T0))))) | (~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater_or_equal(capability(X, T), capability(X, T0))) | (~greater(position(X, T), position(X, T0))))) | (~((hazard_of_mortality(X, T) = hazard_of_mortality(X, T0)) | (~(capability(X, T) = capability(X, T0))) | (~(position(X, T) = position(X, T0)))))))), ((((~(greater(capability(X, T), capability(X, T0)) & greater_or_equal(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & ((~(greater_or_equal(capability(X, T), capability(X, T0)) & greater(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & ((~((capability(X, T) = capability(X, T0)) & (position(X, T) = position(X, T0)))) | (hazard_of_mortality(X, T) = hazard_of_mortality(X, T0)))) <=> (~((~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater(capability(X, T), capability(X, T0))) | (~greater_or_equal(position(X, T), position(X, T0))))) | (~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater_or_equal(capability(X, T), capability(X, T0))) | (~greater(position(X, T), position(X, T0))))) | (~((hazard_of_mortality(X, T) = hazard_of_mortality(X, T0)) | (~(capability(X, T) = capability(X, T0))) | (~(position(X, T) = position(X, T0))))))))), (((~(organization(X) & (~has_immunity(X, T0)) & (~has_immunity(X, T)))) | (((~(greater(capability(X, T), capability(X, T0)) & greater_or_equal(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & ((~(greater_or_equal(capability(X, T), capability(X, T0)) & greater(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & ((~((capability(X, T) = capability(X, T0)) & (position(X, T) = position(X, T0)))) | (hazard_of_mortality(X, T) = hazard_of_mortality(X, T0))))) <=> ((has_immunity(X, T) | has_immunity(X, T0) | (~organization(X))) | (~((~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater(capability(X, T), capability(X, T0))) | (~greater_or_equal(position(X, T), position(X, T0))))) | (~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater_or_equal(capability(X, T), capability(X, T0))) | (~greater(position(X, T), position(X, T0))))) | (~((hazard_of_mortality(X, T) = hazard_of_mortality(X, T0)) | (~(capability(X, T) = capability(X, T0))) | (~(position(X, T) = position(X, T0)))))))))), rewrite(((has_immunity(X, T) | has_immunity(X, T0) | (~organization(X))) | (~((~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater(capability(X, T), capability(X, T0))) | (~greater_or_equal(position(X, T), position(X, T0))))) | (~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater_or_equal(capability(X, T), capability(X, T0))) | (~greater(position(X, T), position(X, T0))))) | (~((hazard_of_mortality(X, T) = hazard_of_mortality(X, T0)) | (~(capability(X, T) = capability(X, T0))) | (~(position(X, T) = position(X, T0)))))))) <=> (has_immunity(X, T) | has_immunity(X, T0) | (~organization(X)) | (~((~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater(capability(X, T), capability(X, T0))) | (~greater_or_equal(position(X, T), position(X, T0))))) | (~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater_or_equal(capability(X, T), capability(X, T0))) | (~greater(position(X, T), position(X, T0))))) | (~((hazard_of_mortality(X, T) = hazard_of_mortality(X, T0)) | (~(capability(X, T) = capability(X, T0))) | (~(position(X, T) = position(X, T0))))))))), (((~(organization(X) & (~has_immunity(X, T0)) & (~has_immunity(X, T)))) | (((~(greater(capability(X, T), capability(X, T0)) & greater_or_equal(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & ((~(greater_or_equal(capability(X, T), capability(X, T0)) & greater(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & ((~((capability(X, T) = capability(X, T0)) & (position(X, T) = position(X, T0)))) | (hazard_of_mortality(X, T) = hazard_of_mortality(X, T0))))) <=> (has_immunity(X, T) | has_immunity(X, T0) | (~organization(X)) | (~((~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater(capability(X, T), capability(X, T0))) | (~greater_or_equal(position(X, T), position(X, T0))))) | (~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater_or_equal(capability(X, T), capability(X, T0))) | (~greater(position(X, T), position(X, T0))))) | (~((hazard_of_mortality(X, T) = hazard_of_mortality(X, T0)) | (~(capability(X, T) = capability(X, T0))) | (~(position(X, T) = position(X, T0))))))))))),
% 0.19/0.42 inference(bind,[status(th)],[])).
% 0.19/0.42 tff(165,plain,
% 0.19/0.42 (![X: $i, T0: $i, T: $i] : ((~(organization(X) & (~has_immunity(X, T0)) & (~has_immunity(X, T)))) | (((~(greater(capability(X, T), capability(X, T0)) & greater_or_equal(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & ((~(greater_or_equal(capability(X, T), capability(X, T0)) & greater(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & ((~((capability(X, T) = capability(X, T0)) & (position(X, T) = position(X, T0)))) | (hazard_of_mortality(X, T) = hazard_of_mortality(X, T0))))) <=> ![X: $i, T0: $i, T: $i] : (has_immunity(X, T) | has_immunity(X, T0) | (~organization(X)) | (~((~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater(capability(X, T), capability(X, T0))) | (~greater_or_equal(position(X, T), position(X, T0))))) | (~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater_or_equal(capability(X, T), capability(X, T0))) | (~greater(position(X, T), position(X, T0))))) | (~((hazard_of_mortality(X, T) = hazard_of_mortality(X, T0)) | (~(capability(X, T) = capability(X, T0))) | (~(position(X, T) = position(X, T0))))))))),
% 0.19/0.42 inference(quant_intro,[status(thm)],[164])).
% 0.19/0.43 tff(166,plain,
% 0.19/0.43 (![X: $i, T0: $i, T: $i] : ((~(organization(X) & (~has_immunity(X, T0)) & (~has_immunity(X, T)))) | (((~(greater(capability(X, T), capability(X, T0)) & greater_or_equal(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & ((~(greater_or_equal(capability(X, T), capability(X, T0)) & greater(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & ((~((capability(X, T) = capability(X, T0)) & (position(X, T) = position(X, T0)))) | (hazard_of_mortality(X, T) = hazard_of_mortality(X, T0))))) <=> ![X: $i, T0: $i, T: $i] : ((~(organization(X) & (~has_immunity(X, T0)) & (~has_immunity(X, T)))) | (((~(greater(capability(X, T), capability(X, T0)) & greater_or_equal(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & ((~(greater_or_equal(capability(X, T), capability(X, T0)) & greater(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & ((~((capability(X, T) = capability(X, T0)) & (position(X, T) = position(X, T0)))) | (hazard_of_mortality(X, T) = hazard_of_mortality(X, T0)))))),
% 0.19/0.43 inference(rewrite,[status(thm)],[])).
% 0.19/0.43 tff(167,plain,
% 0.19/0.43 (^[X: $i, T0: $i, T: $i] : trans(monotonicity(rewrite(((organization(X) & (~has_immunity(X, T0))) & (~has_immunity(X, T))) <=> (organization(X) & (~has_immunity(X, T0)) & (~has_immunity(X, T)))), trans(monotonicity(rewrite((((greater(capability(X, T), capability(X, T0)) & greater_or_equal(position(X, T), position(X, T0))) => smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & ((greater_or_equal(capability(X, T), capability(X, T0)) & greater(position(X, T), position(X, T0))) => smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)))) <=> (((~(greater(capability(X, T), capability(X, T0)) & greater_or_equal(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & ((~(greater_or_equal(capability(X, T), capability(X, T0)) & greater(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))))), rewrite((((capability(X, T) = capability(X, T0)) & (position(X, T) = position(X, T0))) => (hazard_of_mortality(X, T) = hazard_of_mortality(X, T0))) <=> ((~((capability(X, T) = capability(X, T0)) & (position(X, T) = position(X, T0)))) | (hazard_of_mortality(X, T) = hazard_of_mortality(X, T0)))), (((((greater(capability(X, T), capability(X, T0)) & greater_or_equal(position(X, T), position(X, T0))) => smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & ((greater_or_equal(capability(X, T), capability(X, T0)) & greater(position(X, T), position(X, T0))) => smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)))) & (((capability(X, T) = capability(X, T0)) & (position(X, T) = position(X, T0))) => (hazard_of_mortality(X, T) = hazard_of_mortality(X, T0)))) <=> ((((~(greater(capability(X, T), capability(X, T0)) & greater_or_equal(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & ((~(greater_or_equal(capability(X, T), capability(X, T0)) & greater(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)))) & ((~((capability(X, T) = capability(X, T0)) & (position(X, T) = position(X, T0)))) | (hazard_of_mortality(X, T) = hazard_of_mortality(X, T0)))))), rewrite(((((~(greater(capability(X, T), capability(X, T0)) & greater_or_equal(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & ((~(greater_or_equal(capability(X, T), capability(X, T0)) & greater(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)))) & ((~((capability(X, T) = capability(X, T0)) & (position(X, T) = position(X, T0)))) | (hazard_of_mortality(X, T) = hazard_of_mortality(X, T0)))) <=> (((~(greater(capability(X, T), capability(X, T0)) & greater_or_equal(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & ((~(greater_or_equal(capability(X, T), capability(X, T0)) & greater(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & ((~((capability(X, T) = capability(X, T0)) & (position(X, T) = position(X, T0)))) | (hazard_of_mortality(X, T) = hazard_of_mortality(X, T0))))), (((((greater(capability(X, T), capability(X, T0)) & greater_or_equal(position(X, T), position(X, T0))) => smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & ((greater_or_equal(capability(X, T), capability(X, T0)) & greater(position(X, T), position(X, T0))) => smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)))) & (((capability(X, T) = capability(X, T0)) & (position(X, T) = position(X, T0))) => (hazard_of_mortality(X, T) = hazard_of_mortality(X, T0)))) <=> (((~(greater(capability(X, T), capability(X, T0)) & greater_or_equal(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & ((~(greater_or_equal(capability(X, T), capability(X, T0)) & greater(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & ((~((capability(X, T) = capability(X, T0)) & (position(X, T) = position(X, T0)))) | (hazard_of_mortality(X, T) = hazard_of_mortality(X, T0)))))), ((((organization(X) & (~has_immunity(X, T0))) & (~has_immunity(X, T))) => ((((greater(capability(X, T), capability(X, T0)) & greater_or_equal(position(X, T), position(X, T0))) => smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & ((greater_or_equal(capability(X, T), capability(X, T0)) & greater(position(X, T), position(X, T0))) => smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)))) & (((capability(X, T) = capability(X, T0)) & (position(X, T) = position(X, T0))) => (hazard_of_mortality(X, T) = hazard_of_mortality(X, T0))))) <=> ((organization(X) & (~has_immunity(X, T0)) & (~has_immunity(X, T))) => (((~(greater(capability(X, T), capability(X, T0)) & greater_or_equal(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & ((~(greater_or_equal(capability(X, T), capability(X, T0)) & greater(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & ((~((capability(X, T) = capability(X, T0)) & (position(X, T) = position(X, T0)))) | (hazard_of_mortality(X, T) = hazard_of_mortality(X, T0))))))), rewrite(((organization(X) & (~has_immunity(X, T0)) & (~has_immunity(X, T))) => (((~(greater(capability(X, T), capability(X, T0)) & greater_or_equal(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & ((~(greater_or_equal(capability(X, T), capability(X, T0)) & greater(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & ((~((capability(X, T) = capability(X, T0)) & (position(X, T) = position(X, T0)))) | (hazard_of_mortality(X, T) = hazard_of_mortality(X, T0))))) <=> ((~(organization(X) & (~has_immunity(X, T0)) & (~has_immunity(X, T)))) | (((~(greater(capability(X, T), capability(X, T0)) & greater_or_equal(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & ((~(greater_or_equal(capability(X, T), capability(X, T0)) & greater(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & ((~((capability(X, T) = capability(X, T0)) & (position(X, T) = position(X, T0)))) | (hazard_of_mortality(X, T) = hazard_of_mortality(X, T0)))))), ((((organization(X) & (~has_immunity(X, T0))) & (~has_immunity(X, T))) => ((((greater(capability(X, T), capability(X, T0)) & greater_or_equal(position(X, T), position(X, T0))) => smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & ((greater_or_equal(capability(X, T), capability(X, T0)) & greater(position(X, T), position(X, T0))) => smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)))) & (((capability(X, T) = capability(X, T0)) & (position(X, T) = position(X, T0))) => (hazard_of_mortality(X, T) = hazard_of_mortality(X, T0))))) <=> ((~(organization(X) & (~has_immunity(X, T0)) & (~has_immunity(X, T)))) | (((~(greater(capability(X, T), capability(X, T0)) & greater_or_equal(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & ((~(greater_or_equal(capability(X, T), capability(X, T0)) & greater(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & ((~((capability(X, T) = capability(X, T0)) & (position(X, T) = position(X, T0)))) | (hazard_of_mortality(X, T) = hazard_of_mortality(X, T0)))))))),
% 0.19/0.43 inference(bind,[status(th)],[])).
% 0.19/0.43 tff(168,plain,
% 0.19/0.43 (![X: $i, T0: $i, T: $i] : (((organization(X) & (~has_immunity(X, T0))) & (~has_immunity(X, T))) => ((((greater(capability(X, T), capability(X, T0)) & greater_or_equal(position(X, T), position(X, T0))) => smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & ((greater_or_equal(capability(X, T), capability(X, T0)) & greater(position(X, T), position(X, T0))) => smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)))) & (((capability(X, T) = capability(X, T0)) & (position(X, T) = position(X, T0))) => (hazard_of_mortality(X, T) = hazard_of_mortality(X, T0))))) <=> ![X: $i, T0: $i, T: $i] : ((~(organization(X) & (~has_immunity(X, T0)) & (~has_immunity(X, T)))) | (((~(greater(capability(X, T), capability(X, T0)) & greater_or_equal(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & ((~(greater_or_equal(capability(X, T), capability(X, T0)) & greater(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & ((~((capability(X, T) = capability(X, T0)) & (position(X, T) = position(X, T0)))) | (hazard_of_mortality(X, T) = hazard_of_mortality(X, T0)))))),
% 0.19/0.43 inference(quant_intro,[status(thm)],[167])).
% 0.19/0.43 tff(169,axiom,(![X: $i, T0: $i, T: $i] : (((organization(X) & (~has_immunity(X, T0))) & (~has_immunity(X, T))) => ((((greater(capability(X, T), capability(X, T0)) & greater_or_equal(position(X, T), position(X, T0))) => smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & ((greater_or_equal(capability(X, T), capability(X, T0)) & greater(position(X, T), position(X, T0))) => smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)))) & (((capability(X, T) = capability(X, T0)) & (position(X, T) = position(X, T0))) => (hazard_of_mortality(X, T) = hazard_of_mortality(X, T0)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','assumption_4')).
% 0.19/0.43 tff(170,plain,
% 0.19/0.43 (![X: $i, T0: $i, T: $i] : ((~(organization(X) & (~has_immunity(X, T0)) & (~has_immunity(X, T)))) | (((~(greater(capability(X, T), capability(X, T0)) & greater_or_equal(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & ((~(greater_or_equal(capability(X, T), capability(X, T0)) & greater(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & ((~((capability(X, T) = capability(X, T0)) & (position(X, T) = position(X, T0)))) | (hazard_of_mortality(X, T) = hazard_of_mortality(X, T0)))))),
% 0.19/0.43 inference(modus_ponens,[status(thm)],[169, 168])).
% 0.19/0.43 tff(171,plain,
% 0.19/0.43 (![X: $i, T0: $i, T: $i] : ((~(organization(X) & (~has_immunity(X, T0)) & (~has_immunity(X, T)))) | (((~(greater(capability(X, T), capability(X, T0)) & greater_or_equal(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & ((~(greater_or_equal(capability(X, T), capability(X, T0)) & greater(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & ((~((capability(X, T) = capability(X, T0)) & (position(X, T) = position(X, T0)))) | (hazard_of_mortality(X, T) = hazard_of_mortality(X, T0)))))),
% 0.19/0.43 inference(modus_ponens,[status(thm)],[170, 166])).
% 0.19/0.43 tff(172,plain,(
% 0.19/0.43 ![X: $i, T0: $i, T: $i] : ((~(organization(X) & (~has_immunity(X, T0)) & (~has_immunity(X, T)))) | (((~(greater(capability(X, T), capability(X, T0)) & greater_or_equal(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & ((~(greater_or_equal(capability(X, T), capability(X, T0)) & greater(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & ((~((capability(X, T) = capability(X, T0)) & (position(X, T) = position(X, T0)))) | (hazard_of_mortality(X, T) = hazard_of_mortality(X, T0)))))),
% 0.19/0.43 inference(skolemize,[status(sab)],[171])).
% 0.19/0.43 tff(173,plain,
% 0.19/0.43 (![X: $i, T0: $i, T: $i] : (has_immunity(X, T) | has_immunity(X, T0) | (~organization(X)) | (~((~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater(capability(X, T), capability(X, T0))) | (~greater_or_equal(position(X, T), position(X, T0))))) | (~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater_or_equal(capability(X, T), capability(X, T0))) | (~greater(position(X, T), position(X, T0))))) | (~((hazard_of_mortality(X, T) = hazard_of_mortality(X, T0)) | (~(capability(X, T) = capability(X, T0))) | (~(position(X, T) = position(X, T0))))))))),
% 0.19/0.43 inference(modus_ponens,[status(thm)],[172, 165])).
% 0.19/0.43 tff(174,plain,
% 0.19/0.43 (![X: $i, T0: $i, T: $i] : (has_immunity(X, T) | has_immunity(X, T0) | (~organization(X)) | (~((~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater(capability(X, T), capability(X, T0))) | (~greater_or_equal(position(X, T), position(X, T0))))) | (~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater_or_equal(capability(X, T), capability(X, T0))) | (~greater(position(X, T), position(X, T0))))) | (~((hazard_of_mortality(X, T) = hazard_of_mortality(X, T0)) | (~(capability(X, T) = capability(X, T0))) | (~(position(X, T) = position(X, T0))))))))),
% 0.19/0.43 inference(modus_ponens,[status(thm)],[173, 163])).
% 0.19/0.43 tff(175,plain,
% 0.19/0.43 (((~![X: $i, T0: $i, T: $i] : (has_immunity(X, T) | has_immunity(X, T0) | (~organization(X)) | (~((~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater(capability(X, T), capability(X, T0))) | (~greater_or_equal(position(X, T), position(X, T0))))) | (~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater_or_equal(capability(X, T), capability(X, T0))) | (~greater(position(X, T), position(X, T0))))) | (~((hazard_of_mortality(X, T) = hazard_of_mortality(X, T0)) | (~(capability(X, T) = capability(X, T0))) | (~(position(X, T) = position(X, T0))))))))) | ((~organization(X!5)) | has_immunity(X!5, T2!2) | has_immunity(X!5, T3!1) | (~((~(smaller(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T3!1)) | (~greater_or_equal(capability(X!5, T2!2), capability(X!5, T3!1))) | (~greater(position(X!5, T2!2), position(X!5, T3!1))))) | (~((~greater(capability(X!5, T2!2), capability(X!5, T3!1))) | smaller(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T3!1)) | (~greater_or_equal(position(X!5, T2!2), position(X!5, T3!1))))) | (~((~(capability(X!5, T2!2) = capability(X!5, T3!1))) | (hazard_of_mortality(X!5, T2!2) = hazard_of_mortality(X!5, T3!1)) | (~(position(X!5, T2!2) = position(X!5, T3!1))))))))) <=> ((~![X: $i, T0: $i, T: $i] : (has_immunity(X, T) | has_immunity(X, T0) | (~organization(X)) | (~((~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater(capability(X, T), capability(X, T0))) | (~greater_or_equal(position(X, T), position(X, T0))))) | (~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater_or_equal(capability(X, T), capability(X, T0))) | (~greater(position(X, T), position(X, T0))))) | (~((hazard_of_mortality(X, T) = hazard_of_mortality(X, T0)) | (~(capability(X, T) = capability(X, T0))) | (~(position(X, T) = position(X, T0))))))))) | (~organization(X!5)) | has_immunity(X!5, T2!2) | has_immunity(X!5, T3!1) | (~((~(smaller(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T3!1)) | (~greater_or_equal(capability(X!5, T2!2), capability(X!5, T3!1))) | (~greater(position(X!5, T2!2), position(X!5, T3!1))))) | (~((~greater(capability(X!5, T2!2), capability(X!5, T3!1))) | smaller(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T3!1)) | (~greater_or_equal(position(X!5, T2!2), position(X!5, T3!1))))) | (~((~(capability(X!5, T2!2) = capability(X!5, T3!1))) | (hazard_of_mortality(X!5, T2!2) = hazard_of_mortality(X!5, T3!1)) | (~(position(X!5, T2!2) = position(X!5, T3!1))))))))),
% 0.19/0.43 inference(rewrite,[status(thm)],[])).
% 0.19/0.43 tff(176,plain,
% 0.19/0.43 ((has_immunity(X!5, T2!2) | has_immunity(X!5, T3!1) | (~organization(X!5)) | (~((~(smaller(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T3!1)) | (~greater_or_equal(capability(X!5, T2!2), capability(X!5, T3!1))) | (~greater(position(X!5, T2!2), position(X!5, T3!1))))) | (~((~greater(capability(X!5, T2!2), capability(X!5, T3!1))) | smaller(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T3!1)) | (~greater_or_equal(position(X!5, T2!2), position(X!5, T3!1))))) | (~((~(capability(X!5, T2!2) = capability(X!5, T3!1))) | (hazard_of_mortality(X!5, T2!2) = hazard_of_mortality(X!5, T3!1)) | (~(position(X!5, T2!2) = position(X!5, T3!1)))))))) <=> ((~organization(X!5)) | has_immunity(X!5, T2!2) | has_immunity(X!5, T3!1) | (~((~(smaller(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T3!1)) | (~greater_or_equal(capability(X!5, T2!2), capability(X!5, T3!1))) | (~greater(position(X!5, T2!2), position(X!5, T3!1))))) | (~((~greater(capability(X!5, T2!2), capability(X!5, T3!1))) | smaller(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T3!1)) | (~greater_or_equal(position(X!5, T2!2), position(X!5, T3!1))))) | (~((~(capability(X!5, T2!2) = capability(X!5, T3!1))) | (hazard_of_mortality(X!5, T2!2) = hazard_of_mortality(X!5, T3!1)) | (~(position(X!5, T2!2) = position(X!5, T3!1))))))))),
% 0.19/0.43 inference(rewrite,[status(thm)],[])).
% 0.19/0.43 tff(177,plain,
% 0.19/0.43 ((~((~(smaller(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T3!1)) | (~greater(capability(X!5, T2!2), capability(X!5, T3!1))) | (~greater_or_equal(position(X!5, T2!2), position(X!5, T3!1))))) | (~(smaller(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T3!1)) | (~greater_or_equal(capability(X!5, T2!2), capability(X!5, T3!1))) | (~greater(position(X!5, T2!2), position(X!5, T3!1))))) | (~((hazard_of_mortality(X!5, T2!2) = hazard_of_mortality(X!5, T3!1)) | (~(capability(X!5, T2!2) = capability(X!5, T3!1))) | (~(position(X!5, T2!2) = position(X!5, T3!1))))))) <=> (~((~(smaller(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T3!1)) | (~greater_or_equal(capability(X!5, T2!2), capability(X!5, T3!1))) | (~greater(position(X!5, T2!2), position(X!5, T3!1))))) | (~((~greater(capability(X!5, T2!2), capability(X!5, T3!1))) | smaller(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T3!1)) | (~greater_or_equal(position(X!5, T2!2), position(X!5, T3!1))))) | (~((~(capability(X!5, T2!2) = capability(X!5, T3!1))) | (hazard_of_mortality(X!5, T2!2) = hazard_of_mortality(X!5, T3!1)) | (~(position(X!5, T2!2) = position(X!5, T3!1)))))))),
% 0.19/0.43 inference(rewrite,[status(thm)],[])).
% 0.19/0.43 tff(178,plain,
% 0.19/0.43 ((has_immunity(X!5, T2!2) | has_immunity(X!5, T3!1) | (~organization(X!5)) | (~((~(smaller(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T3!1)) | (~greater(capability(X!5, T2!2), capability(X!5, T3!1))) | (~greater_or_equal(position(X!5, T2!2), position(X!5, T3!1))))) | (~(smaller(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T3!1)) | (~greater_or_equal(capability(X!5, T2!2), capability(X!5, T3!1))) | (~greater(position(X!5, T2!2), position(X!5, T3!1))))) | (~((hazard_of_mortality(X!5, T2!2) = hazard_of_mortality(X!5, T3!1)) | (~(capability(X!5, T2!2) = capability(X!5, T3!1))) | (~(position(X!5, T2!2) = position(X!5, T3!1)))))))) <=> (has_immunity(X!5, T2!2) | has_immunity(X!5, T3!1) | (~organization(X!5)) | (~((~(smaller(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T3!1)) | (~greater_or_equal(capability(X!5, T2!2), capability(X!5, T3!1))) | (~greater(position(X!5, T2!2), position(X!5, T3!1))))) | (~((~greater(capability(X!5, T2!2), capability(X!5, T3!1))) | smaller(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T3!1)) | (~greater_or_equal(position(X!5, T2!2), position(X!5, T3!1))))) | (~((~(capability(X!5, T2!2) = capability(X!5, T3!1))) | (hazard_of_mortality(X!5, T2!2) = hazard_of_mortality(X!5, T3!1)) | (~(position(X!5, T2!2) = position(X!5, T3!1))))))))),
% 0.19/0.44 inference(monotonicity,[status(thm)],[177])).
% 0.19/0.44 tff(179,plain,
% 0.19/0.44 ((has_immunity(X!5, T2!2) | has_immunity(X!5, T3!1) | (~organization(X!5)) | (~((~(smaller(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T3!1)) | (~greater(capability(X!5, T2!2), capability(X!5, T3!1))) | (~greater_or_equal(position(X!5, T2!2), position(X!5, T3!1))))) | (~(smaller(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T3!1)) | (~greater_or_equal(capability(X!5, T2!2), capability(X!5, T3!1))) | (~greater(position(X!5, T2!2), position(X!5, T3!1))))) | (~((hazard_of_mortality(X!5, T2!2) = hazard_of_mortality(X!5, T3!1)) | (~(capability(X!5, T2!2) = capability(X!5, T3!1))) | (~(position(X!5, T2!2) = position(X!5, T3!1)))))))) <=> ((~organization(X!5)) | has_immunity(X!5, T2!2) | has_immunity(X!5, T3!1) | (~((~(smaller(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T3!1)) | (~greater_or_equal(capability(X!5, T2!2), capability(X!5, T3!1))) | (~greater(position(X!5, T2!2), position(X!5, T3!1))))) | (~((~greater(capability(X!5, T2!2), capability(X!5, T3!1))) | smaller(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T3!1)) | (~greater_or_equal(position(X!5, T2!2), position(X!5, T3!1))))) | (~((~(capability(X!5, T2!2) = capability(X!5, T3!1))) | (hazard_of_mortality(X!5, T2!2) = hazard_of_mortality(X!5, T3!1)) | (~(position(X!5, T2!2) = position(X!5, T3!1))))))))),
% 0.19/0.44 inference(transitivity,[status(thm)],[178, 176])).
% 0.19/0.44 tff(180,plain,
% 0.19/0.44 (((~![X: $i, T0: $i, T: $i] : (has_immunity(X, T) | has_immunity(X, T0) | (~organization(X)) | (~((~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater(capability(X, T), capability(X, T0))) | (~greater_or_equal(position(X, T), position(X, T0))))) | (~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater_or_equal(capability(X, T), capability(X, T0))) | (~greater(position(X, T), position(X, T0))))) | (~((hazard_of_mortality(X, T) = hazard_of_mortality(X, T0)) | (~(capability(X, T) = capability(X, T0))) | (~(position(X, T) = position(X, T0))))))))) | (has_immunity(X!5, T2!2) | has_immunity(X!5, T3!1) | (~organization(X!5)) | (~((~(smaller(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T3!1)) | (~greater(capability(X!5, T2!2), capability(X!5, T3!1))) | (~greater_or_equal(position(X!5, T2!2), position(X!5, T3!1))))) | (~(smaller(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T3!1)) | (~greater_or_equal(capability(X!5, T2!2), capability(X!5, T3!1))) | (~greater(position(X!5, T2!2), position(X!5, T3!1))))) | (~((hazard_of_mortality(X!5, T2!2) = hazard_of_mortality(X!5, T3!1)) | (~(capability(X!5, T2!2) = capability(X!5, T3!1))) | (~(position(X!5, T2!2) = position(X!5, T3!1))))))))) <=> ((~![X: $i, T0: $i, T: $i] : (has_immunity(X, T) | has_immunity(X, T0) | (~organization(X)) | (~((~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater(capability(X, T), capability(X, T0))) | (~greater_or_equal(position(X, T), position(X, T0))))) | (~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater_or_equal(capability(X, T), capability(X, T0))) | (~greater(position(X, T), position(X, T0))))) | (~((hazard_of_mortality(X, T) = hazard_of_mortality(X, T0)) | (~(capability(X, T) = capability(X, T0))) | (~(position(X, T) = position(X, T0))))))))) | ((~organization(X!5)) | has_immunity(X!5, T2!2) | has_immunity(X!5, T3!1) | (~((~(smaller(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T3!1)) | (~greater_or_equal(capability(X!5, T2!2), capability(X!5, T3!1))) | (~greater(position(X!5, T2!2), position(X!5, T3!1))))) | (~((~greater(capability(X!5, T2!2), capability(X!5, T3!1))) | smaller(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T3!1)) | (~greater_or_equal(position(X!5, T2!2), position(X!5, T3!1))))) | (~((~(capability(X!5, T2!2) = capability(X!5, T3!1))) | (hazard_of_mortality(X!5, T2!2) = hazard_of_mortality(X!5, T3!1)) | (~(position(X!5, T2!2) = position(X!5, T3!1)))))))))),
% 0.19/0.44 inference(monotonicity,[status(thm)],[179])).
% 0.19/0.44 tff(181,plain,
% 0.19/0.44 (((~![X: $i, T0: $i, T: $i] : (has_immunity(X, T) | has_immunity(X, T0) | (~organization(X)) | (~((~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater(capability(X, T), capability(X, T0))) | (~greater_or_equal(position(X, T), position(X, T0))))) | (~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater_or_equal(capability(X, T), capability(X, T0))) | (~greater(position(X, T), position(X, T0))))) | (~((hazard_of_mortality(X, T) = hazard_of_mortality(X, T0)) | (~(capability(X, T) = capability(X, T0))) | (~(position(X, T) = position(X, T0))))))))) | (has_immunity(X!5, T2!2) | has_immunity(X!5, T3!1) | (~organization(X!5)) | (~((~(smaller(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T3!1)) | (~greater(capability(X!5, T2!2), capability(X!5, T3!1))) | (~greater_or_equal(position(X!5, T2!2), position(X!5, T3!1))))) | (~(smaller(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T3!1)) | (~greater_or_equal(capability(X!5, T2!2), capability(X!5, T3!1))) | (~greater(position(X!5, T2!2), position(X!5, T3!1))))) | (~((hazard_of_mortality(X!5, T2!2) = hazard_of_mortality(X!5, T3!1)) | (~(capability(X!5, T2!2) = capability(X!5, T3!1))) | (~(position(X!5, T2!2) = position(X!5, T3!1))))))))) <=> ((~![X: $i, T0: $i, T: $i] : (has_immunity(X, T) | has_immunity(X, T0) | (~organization(X)) | (~((~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater(capability(X, T), capability(X, T0))) | (~greater_or_equal(position(X, T), position(X, T0))))) | (~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater_or_equal(capability(X, T), capability(X, T0))) | (~greater(position(X, T), position(X, T0))))) | (~((hazard_of_mortality(X, T) = hazard_of_mortality(X, T0)) | (~(capability(X, T) = capability(X, T0))) | (~(position(X, T) = position(X, T0))))))))) | (~organization(X!5)) | has_immunity(X!5, T2!2) | has_immunity(X!5, T3!1) | (~((~(smaller(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T3!1)) | (~greater_or_equal(capability(X!5, T2!2), capability(X!5, T3!1))) | (~greater(position(X!5, T2!2), position(X!5, T3!1))))) | (~((~greater(capability(X!5, T2!2), capability(X!5, T3!1))) | smaller(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T3!1)) | (~greater_or_equal(position(X!5, T2!2), position(X!5, T3!1))))) | (~((~(capability(X!5, T2!2) = capability(X!5, T3!1))) | (hazard_of_mortality(X!5, T2!2) = hazard_of_mortality(X!5, T3!1)) | (~(position(X!5, T2!2) = position(X!5, T3!1))))))))),
% 0.19/0.44 inference(transitivity,[status(thm)],[180, 175])).
% 0.19/0.44 tff(182,plain,
% 0.19/0.44 ((~![X: $i, T0: $i, T: $i] : (has_immunity(X, T) | has_immunity(X, T0) | (~organization(X)) | (~((~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater(capability(X, T), capability(X, T0))) | (~greater_or_equal(position(X, T), position(X, T0))))) | (~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater_or_equal(capability(X, T), capability(X, T0))) | (~greater(position(X, T), position(X, T0))))) | (~((hazard_of_mortality(X, T) = hazard_of_mortality(X, T0)) | (~(capability(X, T) = capability(X, T0))) | (~(position(X, T) = position(X, T0))))))))) | (has_immunity(X!5, T2!2) | has_immunity(X!5, T3!1) | (~organization(X!5)) | (~((~(smaller(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T3!1)) | (~greater(capability(X!5, T2!2), capability(X!5, T3!1))) | (~greater_or_equal(position(X!5, T2!2), position(X!5, T3!1))))) | (~(smaller(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T3!1)) | (~greater_or_equal(capability(X!5, T2!2), capability(X!5, T3!1))) | (~greater(position(X!5, T2!2), position(X!5, T3!1))))) | (~((hazard_of_mortality(X!5, T2!2) = hazard_of_mortality(X!5, T3!1)) | (~(capability(X!5, T2!2) = capability(X!5, T3!1))) | (~(position(X!5, T2!2) = position(X!5, T3!1))))))))),
% 0.19/0.44 inference(quant_inst,[status(thm)],[])).
% 0.19/0.44 tff(183,plain,
% 0.19/0.44 ((~![X: $i, T0: $i, T: $i] : (has_immunity(X, T) | has_immunity(X, T0) | (~organization(X)) | (~((~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater(capability(X, T), capability(X, T0))) | (~greater_or_equal(position(X, T), position(X, T0))))) | (~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater_or_equal(capability(X, T), capability(X, T0))) | (~greater(position(X, T), position(X, T0))))) | (~((hazard_of_mortality(X, T) = hazard_of_mortality(X, T0)) | (~(capability(X, T) = capability(X, T0))) | (~(position(X, T) = position(X, T0))))))))) | (~organization(X!5)) | has_immunity(X!5, T2!2) | has_immunity(X!5, T3!1) | (~((~(smaller(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T3!1)) | (~greater_or_equal(capability(X!5, T2!2), capability(X!5, T3!1))) | (~greater(position(X!5, T2!2), position(X!5, T3!1))))) | (~((~greater(capability(X!5, T2!2), capability(X!5, T3!1))) | smaller(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T3!1)) | (~greater_or_equal(position(X!5, T2!2), position(X!5, T3!1))))) | (~((~(capability(X!5, T2!2) = capability(X!5, T3!1))) | (hazard_of_mortality(X!5, T2!2) = hazard_of_mortality(X!5, T3!1)) | (~(position(X!5, T2!2) = position(X!5, T3!1)))))))),
% 0.19/0.44 inference(modus_ponens,[status(thm)],[182, 181])).
% 0.19/0.44 tff(184,plain,
% 0.19/0.44 (~((~(smaller(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T3!1)) | (~greater_or_equal(capability(X!5, T2!2), capability(X!5, T3!1))) | (~greater(position(X!5, T2!2), position(X!5, T3!1))))) | (~((~greater(capability(X!5, T2!2), capability(X!5, T3!1))) | smaller(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T3!1)) | (~greater_or_equal(position(X!5, T2!2), position(X!5, T3!1))))) | (~((~(capability(X!5, T2!2) = capability(X!5, T3!1))) | (hazard_of_mortality(X!5, T2!2) = hazard_of_mortality(X!5, T3!1)) | (~(position(X!5, T2!2) = position(X!5, T3!1))))))),
% 0.19/0.44 inference(unit_resolution,[status(thm)],[183, 174, 13, 161, 154])).
% 0.19/0.44 tff(185,plain,
% 0.19/0.44 (((~(smaller(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T3!1)) | (~greater_or_equal(capability(X!5, T2!2), capability(X!5, T3!1))) | (~greater(position(X!5, T2!2), position(X!5, T3!1))))) | (~((~greater(capability(X!5, T2!2), capability(X!5, T3!1))) | smaller(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T3!1)) | (~greater_or_equal(position(X!5, T2!2), position(X!5, T3!1))))) | (~((~(capability(X!5, T2!2) = capability(X!5, T3!1))) | (hazard_of_mortality(X!5, T2!2) = hazard_of_mortality(X!5, T3!1)) | (~(position(X!5, T2!2) = position(X!5, T3!1)))))) | ((~greater(capability(X!5, T2!2), capability(X!5, T3!1))) | smaller(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T3!1)) | (~greater_or_equal(position(X!5, T2!2), position(X!5, T3!1))))),
% 0.19/0.44 inference(tautology,[status(thm)],[])).
% 0.19/0.44 tff(186,plain,
% 0.19/0.44 ((~greater(capability(X!5, T2!2), capability(X!5, T3!1))) | smaller(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T3!1)) | (~greater_or_equal(position(X!5, T2!2), position(X!5, T3!1)))),
% 0.19/0.44 inference(unit_resolution,[status(thm)],[185, 184])).
% 0.19/0.44 tff(187,plain,
% 0.19/0.44 ((~![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))) | (smaller(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T3!1)) <=> greater(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2)))),
% 0.19/0.44 inference(quant_inst,[status(thm)],[])).
% 0.19/0.44 tff(188,plain,
% 0.19/0.44 (smaller(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T3!1)) <=> greater(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2))),
% 0.19/0.44 inference(unit_resolution,[status(thm)],[187, 38])).
% 0.19/0.44 tff(189,plain,
% 0.19/0.44 ((~![T: $i] : (~((~organization(X!5)) | (~((~smaller_or_equal(age(X!5, T), eta)) | has_immunity(X!5, T))) | (~((~has_immunity(X!5, T)) | (~greater(age(X!5, T), eta))))))) | (~((~organization(X!5)) | (~((~smaller_or_equal(age(X!5, T1!3), eta)) | has_immunity(X!5, T1!3))) | (~((~has_immunity(X!5, T1!3)) | (~greater(age(X!5, T1!3), eta))))))),
% 0.19/0.44 inference(quant_inst,[status(thm)],[])).
% 0.19/0.44 tff(190,plain,
% 0.19/0.44 (~((~organization(X!5)) | (~((~smaller_or_equal(age(X!5, T1!3), eta)) | has_immunity(X!5, T1!3))) | (~((~has_immunity(X!5, T1!3)) | (~greater(age(X!5, T1!3), eta)))))),
% 0.19/0.45 inference(unit_resolution,[status(thm)],[189, 126])).
% 0.19/0.45 tff(191,plain,
% 0.19/0.45 (((~organization(X!5)) | (~((~smaller_or_equal(age(X!5, T1!3), eta)) | has_immunity(X!5, T1!3))) | (~((~has_immunity(X!5, T1!3)) | (~greater(age(X!5, T1!3), eta))))) | ((~smaller_or_equal(age(X!5, T1!3), eta)) | has_immunity(X!5, T1!3))),
% 0.19/0.45 inference(tautology,[status(thm)],[])).
% 0.19/0.45 tff(192,plain,
% 0.19/0.45 ((~smaller_or_equal(age(X!5, T1!3), eta)) | has_immunity(X!5, T1!3)),
% 0.19/0.45 inference(unit_resolution,[status(thm)],[191, 190])).
% 0.19/0.45 tff(193,plain,
% 0.19/0.45 (smaller_or_equal(age(X!5, T1!3), eta)),
% 0.19/0.45 inference(and_elim,[status(thm)],[12])).
% 0.19/0.45 tff(194,plain,
% 0.19/0.45 ((~((~smaller_or_equal(age(X!5, T1!3), eta)) | has_immunity(X!5, T1!3))) | (~smaller_or_equal(age(X!5, T1!3), eta)) | has_immunity(X!5, T1!3)),
% 0.19/0.45 inference(tautology,[status(thm)],[])).
% 0.19/0.45 tff(195,plain,
% 0.19/0.45 ((~((~smaller_or_equal(age(X!5, T1!3), eta)) | has_immunity(X!5, T1!3))) | has_immunity(X!5, T1!3)),
% 0.19/0.45 inference(unit_resolution,[status(thm)],[194, 193])).
% 0.19/0.45 tff(196,plain,
% 0.19/0.45 (has_immunity(X!5, T1!3)),
% 0.19/0.45 inference(unit_resolution,[status(thm)],[195, 192])).
% 0.19/0.45 tff(197,assumption,(~greater(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T1!3))), introduced(assumption)).
% 0.19/0.45 tff(198,plain,
% 0.19/0.45 (^[X: $i, T0: $i, T: $i] : refl((has_immunity(X, T) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~has_immunity(X, T0)) | (~organization(X))) <=> (has_immunity(X, T) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~has_immunity(X, T0)) | (~organization(X))))),
% 0.19/0.45 inference(bind,[status(th)],[])).
% 0.19/0.45 tff(199,plain,
% 0.19/0.45 (![X: $i, T0: $i, T: $i] : (has_immunity(X, T) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~has_immunity(X, T0)) | (~organization(X))) <=> ![X: $i, T0: $i, T: $i] : (has_immunity(X, T) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~has_immunity(X, T0)) | (~organization(X)))),
% 0.19/0.45 inference(quant_intro,[status(thm)],[198])).
% 0.19/0.45 tff(200,plain,
% 0.19/0.45 (^[X: $i, T0: $i, T: $i] : trans(monotonicity(trans(monotonicity(rewrite((organization(X) & has_immunity(X, T0) & (~has_immunity(X, T))) <=> (~((~organization(X)) | (~has_immunity(X, T0)) | has_immunity(X, T)))), ((~(organization(X) & has_immunity(X, T0) & (~has_immunity(X, T)))) <=> (~(~((~organization(X)) | (~has_immunity(X, T0)) | has_immunity(X, T)))))), rewrite((~(~((~organization(X)) | (~has_immunity(X, T0)) | has_immunity(X, T)))) <=> ((~organization(X)) | (~has_immunity(X, T0)) | has_immunity(X, T))), ((~(organization(X) & has_immunity(X, T0) & (~has_immunity(X, T)))) <=> ((~organization(X)) | (~has_immunity(X, T0)) | has_immunity(X, T)))), (((~(organization(X) & has_immunity(X, T0) & (~has_immunity(X, T)))) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) <=> (((~organization(X)) | (~has_immunity(X, T0)) | has_immunity(X, T)) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))))), rewrite((((~organization(X)) | (~has_immunity(X, T0)) | has_immunity(X, T)) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) <=> (has_immunity(X, T) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~has_immunity(X, T0)) | (~organization(X)))), (((~(organization(X) & has_immunity(X, T0) & (~has_immunity(X, T)))) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) <=> (has_immunity(X, T) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~has_immunity(X, T0)) | (~organization(X)))))),
% 0.19/0.45 inference(bind,[status(th)],[])).
% 0.19/0.45 tff(201,plain,
% 0.19/0.45 (![X: $i, T0: $i, T: $i] : ((~(organization(X) & has_immunity(X, T0) & (~has_immunity(X, T)))) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) <=> ![X: $i, T0: $i, T: $i] : (has_immunity(X, T) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~has_immunity(X, T0)) | (~organization(X)))),
% 0.19/0.45 inference(quant_intro,[status(thm)],[200])).
% 0.19/0.45 tff(202,plain,
% 0.19/0.45 (![X: $i, T0: $i, T: $i] : ((~(organization(X) & has_immunity(X, T0) & (~has_immunity(X, T)))) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) <=> ![X: $i, T0: $i, T: $i] : ((~(organization(X) & has_immunity(X, T0) & (~has_immunity(X, T)))) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)))),
% 0.19/0.45 inference(rewrite,[status(thm)],[])).
% 0.19/0.45 tff(203,plain,
% 0.19/0.45 (^[X: $i, T0: $i, T: $i] : trans(monotonicity(rewrite(((organization(X) & has_immunity(X, T0)) & (~has_immunity(X, T))) <=> (organization(X) & has_immunity(X, T0) & (~has_immunity(X, T)))), ((((organization(X) & has_immunity(X, T0)) & (~has_immunity(X, T))) => greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) <=> ((organization(X) & has_immunity(X, T0) & (~has_immunity(X, T))) => greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))))), rewrite(((organization(X) & has_immunity(X, T0) & (~has_immunity(X, T))) => greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) <=> ((~(organization(X) & has_immunity(X, T0) & (~has_immunity(X, T)))) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)))), ((((organization(X) & has_immunity(X, T0)) & (~has_immunity(X, T))) => greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) <=> ((~(organization(X) & has_immunity(X, T0) & (~has_immunity(X, T)))) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)))))),
% 0.19/0.45 inference(bind,[status(th)],[])).
% 0.19/0.45 tff(204,plain,
% 0.19/0.45 (![X: $i, T0: $i, T: $i] : (((organization(X) & has_immunity(X, T0)) & (~has_immunity(X, T))) => greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) <=> ![X: $i, T0: $i, T: $i] : ((~(organization(X) & has_immunity(X, T0) & (~has_immunity(X, T)))) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)))),
% 0.19/0.45 inference(quant_intro,[status(thm)],[203])).
% 0.19/0.45 tff(205,axiom,(![X: $i, T0: $i, T: $i] : (((organization(X) & has_immunity(X, T0)) & (~has_immunity(X, T))) => greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','assumption_3')).
% 0.19/0.45 tff(206,plain,
% 0.19/0.45 (![X: $i, T0: $i, T: $i] : ((~(organization(X) & has_immunity(X, T0) & (~has_immunity(X, T)))) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)))),
% 0.19/0.45 inference(modus_ponens,[status(thm)],[205, 204])).
% 0.19/0.45 tff(207,plain,
% 0.19/0.45 (![X: $i, T0: $i, T: $i] : ((~(organization(X) & has_immunity(X, T0) & (~has_immunity(X, T)))) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)))),
% 0.19/0.45 inference(modus_ponens,[status(thm)],[206, 202])).
% 0.19/0.45 tff(208,plain,(
% 0.19/0.45 ![X: $i, T0: $i, T: $i] : ((~(organization(X) & has_immunity(X, T0) & (~has_immunity(X, T)))) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)))),
% 0.19/0.45 inference(skolemize,[status(sab)],[207])).
% 0.19/0.45 tff(209,plain,
% 0.19/0.45 (![X: $i, T0: $i, T: $i] : (has_immunity(X, T) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~has_immunity(X, T0)) | (~organization(X)))),
% 0.19/0.45 inference(modus_ponens,[status(thm)],[208, 201])).
% 0.19/0.45 tff(210,plain,
% 0.19/0.45 (![X: $i, T0: $i, T: $i] : (has_immunity(X, T) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~has_immunity(X, T0)) | (~organization(X)))),
% 0.19/0.45 inference(modus_ponens,[status(thm)],[209, 199])).
% 0.19/0.45 tff(211,plain,
% 0.19/0.45 (((~![X: $i, T0: $i, T: $i] : (has_immunity(X, T) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~has_immunity(X, T0)) | (~organization(X)))) | (greater(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T1!3)) | (~organization(X!5)) | (~has_immunity(X!5, T1!3)) | has_immunity(X!5, T2!2))) <=> ((~![X: $i, T0: $i, T: $i] : (has_immunity(X, T) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~has_immunity(X, T0)) | (~organization(X)))) | greater(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T1!3)) | (~organization(X!5)) | (~has_immunity(X!5, T1!3)) | has_immunity(X!5, T2!2))),
% 0.19/0.45 inference(rewrite,[status(thm)],[])).
% 0.19/0.45 tff(212,plain,
% 0.19/0.45 ((has_immunity(X!5, T2!2) | greater(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T1!3)) | (~has_immunity(X!5, T1!3)) | (~organization(X!5))) <=> (greater(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T1!3)) | (~organization(X!5)) | (~has_immunity(X!5, T1!3)) | has_immunity(X!5, T2!2))),
% 0.19/0.45 inference(rewrite,[status(thm)],[])).
% 0.19/0.45 tff(213,plain,
% 0.19/0.45 (((~![X: $i, T0: $i, T: $i] : (has_immunity(X, T) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~has_immunity(X, T0)) | (~organization(X)))) | (has_immunity(X!5, T2!2) | greater(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T1!3)) | (~has_immunity(X!5, T1!3)) | (~organization(X!5)))) <=> ((~![X: $i, T0: $i, T: $i] : (has_immunity(X, T) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~has_immunity(X, T0)) | (~organization(X)))) | (greater(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T1!3)) | (~organization(X!5)) | (~has_immunity(X!5, T1!3)) | has_immunity(X!5, T2!2)))),
% 0.19/0.45 inference(monotonicity,[status(thm)],[212])).
% 0.19/0.45 tff(214,plain,
% 0.19/0.45 (((~![X: $i, T0: $i, T: $i] : (has_immunity(X, T) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~has_immunity(X, T0)) | (~organization(X)))) | (has_immunity(X!5, T2!2) | greater(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T1!3)) | (~has_immunity(X!5, T1!3)) | (~organization(X!5)))) <=> ((~![X: $i, T0: $i, T: $i] : (has_immunity(X, T) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~has_immunity(X, T0)) | (~organization(X)))) | greater(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T1!3)) | (~organization(X!5)) | (~has_immunity(X!5, T1!3)) | has_immunity(X!5, T2!2))),
% 0.19/0.45 inference(transitivity,[status(thm)],[213, 211])).
% 0.19/0.45 tff(215,plain,
% 0.19/0.45 ((~![X: $i, T0: $i, T: $i] : (has_immunity(X, T) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~has_immunity(X, T0)) | (~organization(X)))) | (has_immunity(X!5, T2!2) | greater(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T1!3)) | (~has_immunity(X!5, T1!3)) | (~organization(X!5)))),
% 0.19/0.45 inference(quant_inst,[status(thm)],[])).
% 0.19/0.45 tff(216,plain,
% 0.19/0.45 ((~![X: $i, T0: $i, T: $i] : (has_immunity(X, T) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~has_immunity(X, T0)) | (~organization(X)))) | greater(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T1!3)) | (~organization(X!5)) | (~has_immunity(X!5, T1!3)) | has_immunity(X!5, T2!2)),
% 0.19/0.45 inference(modus_ponens,[status(thm)],[215, 214])).
% 0.19/0.45 tff(217,plain,
% 0.19/0.45 ($false),
% 0.19/0.45 inference(unit_resolution,[status(thm)],[216, 210, 13, 197, 196, 161])).
% 0.19/0.45 tff(218,plain,(greater(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T1!3))), inference(lemma,lemma(discharge,[]))).
% 0.19/0.45 tff(219,plain,
% 0.19/0.45 ((~![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))) | (smaller(age(X!5, T0!4), age(X!5, T1!3)) <=> greater(age(X!5, T1!3), age(X!5, T0!4)))),
% 0.19/0.45 inference(quant_inst,[status(thm)],[])).
% 0.19/0.45 tff(220,plain,
% 0.19/0.45 (smaller(age(X!5, T0!4), age(X!5, T1!3)) <=> greater(age(X!5, T1!3), age(X!5, T0!4))),
% 0.19/0.45 inference(unit_resolution,[status(thm)],[219, 38])).
% 0.19/0.45 tff(221,assumption,(~smaller_or_equal(age(X!5, T0!4), eta)), introduced(assumption)).
% 0.19/0.45 tff(222,assumption,(age(X!5, T0!4) = age(X!5, T1!3)), introduced(assumption)).
% 0.19/0.45 tff(223,plain,
% 0.19/0.45 (smaller_or_equal(age(X!5, T0!4), eta) <=> smaller_or_equal(age(X!5, T1!3), eta)),
% 0.19/0.45 inference(monotonicity,[status(thm)],[222])).
% 0.19/0.45 tff(224,plain,
% 0.19/0.45 (smaller_or_equal(age(X!5, T1!3), eta) <=> smaller_or_equal(age(X!5, T0!4), eta)),
% 0.19/0.45 inference(symmetry,[status(thm)],[223])).
% 0.19/0.45 tff(225,plain,
% 0.19/0.45 (smaller_or_equal(age(X!5, T0!4), eta)),
% 0.19/0.45 inference(modus_ponens,[status(thm)],[193, 224])).
% 0.19/0.45 tff(226,plain,
% 0.19/0.45 ($false),
% 0.19/0.45 inference(unit_resolution,[status(thm)],[221, 225])).
% 0.19/0.45 tff(227,plain,((~(age(X!5, T0!4) = age(X!5, T1!3))) | smaller_or_equal(age(X!5, T0!4), eta)), inference(lemma,lemma(discharge,[]))).
% 0.19/0.45 tff(228,plain,
% 0.19/0.45 (~(age(X!5, T0!4) = age(X!5, T1!3))),
% 0.19/0.45 inference(unit_resolution,[status(thm)],[227, 221])).
% 0.19/0.45 tff(229,plain,
% 0.19/0.45 (^[X: $i, Y: $i] : refl((smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y))) <=> (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y))))),
% 0.19/0.45 inference(bind,[status(th)],[])).
% 0.19/0.45 tff(230,plain,
% 0.19/0.45 (![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y))) <=> ![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))),
% 0.19/0.45 inference(quant_intro,[status(thm)],[229])).
% 0.19/0.45 tff(231,plain,
% 0.19/0.45 (![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y))) <=> ![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))),
% 0.19/0.45 inference(rewrite,[status(thm)],[])).
% 0.19/0.45 tff(232,plain,
% 0.19/0.45 (^[X: $i, Y: $i] : rewrite((smaller_or_equal(X, Y) <=> (smaller(X, Y) | (X = Y))) <=> (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y))))),
% 0.19/0.45 inference(bind,[status(th)],[])).
% 0.19/0.45 tff(233,plain,
% 0.19/0.45 (![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> (smaller(X, Y) | (X = Y))) <=> ![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))),
% 0.19/0.45 inference(quant_intro,[status(thm)],[232])).
% 0.19/0.45 tff(234,axiom,(![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> (smaller(X, Y) | (X = Y)))), file('/export/starexec/sandbox2/benchmark/Axioms/MGT001+0.ax','definition_smaller_or_equal')).
% 0.19/0.45 tff(235,plain,
% 0.19/0.45 (![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))),
% 0.19/0.45 inference(modus_ponens,[status(thm)],[234, 233])).
% 0.19/0.45 tff(236,plain,
% 0.19/0.45 (![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))),
% 0.19/0.45 inference(modus_ponens,[status(thm)],[235, 231])).
% 0.19/0.45 tff(237,plain,(
% 0.19/0.45 ![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))),
% 0.19/0.45 inference(skolemize,[status(sab)],[236])).
% 0.19/0.45 tff(238,plain,
% 0.19/0.45 (![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))),
% 0.19/0.45 inference(modus_ponens,[status(thm)],[237, 230])).
% 0.19/0.45 tff(239,plain,
% 0.19/0.45 ((~![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))) | (smaller_or_equal(age(X!5, T0!4), age(X!5, T1!3)) <=> ((age(X!5, T0!4) = age(X!5, T1!3)) | smaller(age(X!5, T0!4), age(X!5, T1!3))))),
% 0.19/0.45 inference(quant_inst,[status(thm)],[])).
% 0.19/0.45 tff(240,plain,
% 0.19/0.45 (smaller_or_equal(age(X!5, T0!4), age(X!5, T1!3)) <=> ((age(X!5, T0!4) = age(X!5, T1!3)) | smaller(age(X!5, T0!4), age(X!5, T1!3)))),
% 0.19/0.45 inference(unit_resolution,[status(thm)],[239, 238])).
% 0.19/0.45 tff(241,plain,
% 0.19/0.45 (smaller_or_equal(age(X!5, T0!4), age(X!5, T1!3))),
% 0.19/0.45 inference(and_elim,[status(thm)],[12])).
% 0.19/0.45 tff(242,plain,
% 0.19/0.45 ((~(smaller_or_equal(age(X!5, T0!4), age(X!5, T1!3)) <=> ((age(X!5, T0!4) = age(X!5, T1!3)) | smaller(age(X!5, T0!4), age(X!5, T1!3))))) | (~smaller_or_equal(age(X!5, T0!4), age(X!5, T1!3))) | ((age(X!5, T0!4) = age(X!5, T1!3)) | smaller(age(X!5, T0!4), age(X!5, T1!3)))),
% 0.19/0.45 inference(tautology,[status(thm)],[])).
% 0.19/0.45 tff(243,plain,
% 0.19/0.45 ((~(smaller_or_equal(age(X!5, T0!4), age(X!5, T1!3)) <=> ((age(X!5, T0!4) = age(X!5, T1!3)) | smaller(age(X!5, T0!4), age(X!5, T1!3))))) | ((age(X!5, T0!4) = age(X!5, T1!3)) | smaller(age(X!5, T0!4), age(X!5, T1!3)))),
% 0.19/0.45 inference(unit_resolution,[status(thm)],[242, 241])).
% 0.19/0.45 tff(244,plain,
% 0.19/0.45 ((age(X!5, T0!4) = age(X!5, T1!3)) | smaller(age(X!5, T0!4), age(X!5, T1!3))),
% 0.19/0.45 inference(unit_resolution,[status(thm)],[243, 240])).
% 0.19/0.45 tff(245,plain,
% 0.19/0.45 ((~((age(X!5, T0!4) = age(X!5, T1!3)) | smaller(age(X!5, T0!4), age(X!5, T1!3)))) | (age(X!5, T0!4) = age(X!5, T1!3)) | smaller(age(X!5, T0!4), age(X!5, T1!3))),
% 0.19/0.45 inference(tautology,[status(thm)],[])).
% 0.19/0.45 tff(246,plain,
% 0.19/0.45 ((age(X!5, T0!4) = age(X!5, T1!3)) | smaller(age(X!5, T0!4), age(X!5, T1!3))),
% 0.19/0.45 inference(unit_resolution,[status(thm)],[245, 244])).
% 0.19/0.45 tff(247,plain,
% 0.19/0.45 (smaller(age(X!5, T0!4), age(X!5, T1!3))),
% 0.19/0.45 inference(unit_resolution,[status(thm)],[246, 228])).
% 0.19/0.45 tff(248,plain,
% 0.19/0.45 ((~(smaller(age(X!5, T0!4), age(X!5, T1!3)) <=> greater(age(X!5, T1!3), age(X!5, T0!4)))) | (~smaller(age(X!5, T0!4), age(X!5, T1!3))) | greater(age(X!5, T1!3), age(X!5, T0!4))),
% 0.19/0.45 inference(tautology,[status(thm)],[])).
% 0.19/0.45 tff(249,plain,
% 0.19/0.45 ((~(smaller(age(X!5, T0!4), age(X!5, T1!3)) <=> greater(age(X!5, T1!3), age(X!5, T0!4)))) | greater(age(X!5, T1!3), age(X!5, T0!4))),
% 0.19/0.45 inference(unit_resolution,[status(thm)],[248, 247])).
% 0.19/0.45 tff(250,plain,
% 0.19/0.45 (greater(age(X!5, T1!3), age(X!5, T0!4))),
% 0.19/0.45 inference(unit_resolution,[status(thm)],[249, 220])).
% 0.19/0.45 tff(251,plain,
% 0.19/0.45 (((~organization(X!5)) | (~((~smaller_or_equal(age(X!5, T1!3), eta)) | has_immunity(X!5, T1!3))) | (~((~has_immunity(X!5, T1!3)) | (~greater(age(X!5, T1!3), eta))))) | ((~has_immunity(X!5, T1!3)) | (~greater(age(X!5, T1!3), eta)))),
% 0.19/0.46 inference(tautology,[status(thm)],[])).
% 0.19/0.46 tff(252,plain,
% 0.19/0.46 ((~has_immunity(X!5, T1!3)) | (~greater(age(X!5, T1!3), eta))),
% 0.19/0.46 inference(unit_resolution,[status(thm)],[251, 190])).
% 0.19/0.46 tff(253,plain,
% 0.19/0.46 ((~((~has_immunity(X!5, T1!3)) | (~greater(age(X!5, T1!3), eta)))) | (~has_immunity(X!5, T1!3)) | (~greater(age(X!5, T1!3), eta))),
% 0.19/0.46 inference(tautology,[status(thm)],[])).
% 0.19/0.46 tff(254,plain,
% 0.19/0.46 (~greater(age(X!5, T1!3), eta)),
% 0.19/0.46 inference(unit_resolution,[status(thm)],[253, 196, 252])).
% 0.19/0.46 tff(255,plain,
% 0.19/0.46 ((~![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))) | (smaller_or_equal(age(X!5, T0!4), eta) <=> ((age(X!5, T0!4) = eta) | smaller(age(X!5, T0!4), eta)))),
% 0.19/0.46 inference(quant_inst,[status(thm)],[])).
% 0.19/0.46 tff(256,plain,
% 0.19/0.46 (smaller_or_equal(age(X!5, T0!4), eta) <=> ((age(X!5, T0!4) = eta) | smaller(age(X!5, T0!4), eta))),
% 0.19/0.46 inference(unit_resolution,[status(thm)],[255, 238])).
% 0.19/0.46 tff(257,plain,
% 0.19/0.46 ((~(smaller_or_equal(age(X!5, T0!4), eta) <=> ((age(X!5, T0!4) = eta) | smaller(age(X!5, T0!4), eta)))) | smaller_or_equal(age(X!5, T0!4), eta) | (~((age(X!5, T0!4) = eta) | smaller(age(X!5, T0!4), eta)))),
% 0.19/0.46 inference(tautology,[status(thm)],[])).
% 0.19/0.46 tff(258,plain,
% 0.19/0.46 ((~(smaller_or_equal(age(X!5, T0!4), eta) <=> ((age(X!5, T0!4) = eta) | smaller(age(X!5, T0!4), eta)))) | (~((age(X!5, T0!4) = eta) | smaller(age(X!5, T0!4), eta)))),
% 0.19/0.46 inference(unit_resolution,[status(thm)],[257, 221])).
% 0.19/0.46 tff(259,plain,
% 0.19/0.46 (~((age(X!5, T0!4) = eta) | smaller(age(X!5, T0!4), eta))),
% 0.19/0.46 inference(unit_resolution,[status(thm)],[258, 256])).
% 0.19/0.46 tff(260,plain,
% 0.19/0.46 (((age(X!5, T0!4) = eta) | smaller(age(X!5, T0!4), eta)) | (~smaller(age(X!5, T0!4), eta))),
% 0.19/0.46 inference(tautology,[status(thm)],[])).
% 0.19/0.46 tff(261,plain,
% 0.19/0.46 (~smaller(age(X!5, T0!4), eta)),
% 0.19/0.46 inference(unit_resolution,[status(thm)],[260, 259])).
% 0.19/0.46 tff(262,plain,
% 0.19/0.46 (((age(X!5, T0!4) = eta) | smaller(age(X!5, T0!4), eta)) | (~(age(X!5, T0!4) = eta))),
% 0.19/0.46 inference(tautology,[status(thm)],[])).
% 0.19/0.46 tff(263,plain,
% 0.19/0.46 (~(age(X!5, T0!4) = eta)),
% 0.19/0.46 inference(unit_resolution,[status(thm)],[262, 259])).
% 0.19/0.46 tff(264,plain,
% 0.19/0.46 (^[X: $i, Y: $i] : refl(((X = Y) | smaller(X, Y) | greater(X, Y)) <=> ((X = Y) | smaller(X, Y) | greater(X, Y)))),
% 0.19/0.46 inference(bind,[status(th)],[])).
% 0.19/0.46 tff(265,plain,
% 0.19/0.46 (![X: $i, Y: $i] : ((X = Y) | smaller(X, Y) | greater(X, Y)) <=> ![X: $i, Y: $i] : ((X = Y) | smaller(X, Y) | greater(X, Y))),
% 0.19/0.46 inference(quant_intro,[status(thm)],[264])).
% 0.19/0.46 tff(266,plain,
% 0.19/0.46 (![X: $i, Y: $i] : ((X = Y) | smaller(X, Y) | greater(X, Y)) <=> ![X: $i, Y: $i] : ((X = Y) | smaller(X, Y) | greater(X, Y))),
% 0.19/0.46 inference(rewrite,[status(thm)],[])).
% 0.19/0.46 tff(267,plain,
% 0.19/0.46 (^[X: $i, Y: $i] : trans(monotonicity(rewrite((smaller(X, Y) | (X = Y)) <=> ((X = Y) | smaller(X, Y))), (((smaller(X, Y) | (X = Y)) | greater(X, Y)) <=> (((X = Y) | smaller(X, Y)) | greater(X, Y)))), rewrite((((X = Y) | smaller(X, Y)) | greater(X, Y)) <=> ((X = Y) | smaller(X, Y) | greater(X, Y))), (((smaller(X, Y) | (X = Y)) | greater(X, Y)) <=> ((X = Y) | smaller(X, Y) | greater(X, Y))))),
% 0.19/0.46 inference(bind,[status(th)],[])).
% 0.19/0.46 tff(268,plain,
% 0.19/0.46 (![X: $i, Y: $i] : ((smaller(X, Y) | (X = Y)) | greater(X, Y)) <=> ![X: $i, Y: $i] : ((X = Y) | smaller(X, Y) | greater(X, Y))),
% 0.19/0.46 inference(quant_intro,[status(thm)],[267])).
% 0.19/0.46 tff(269,axiom,(![X: $i, Y: $i] : ((smaller(X, Y) | (X = Y)) | greater(X, Y))), file('/export/starexec/sandbox2/benchmark/Axioms/MGT001+0.ax','meaning_postulate_greater_comparable')).
% 0.19/0.46 tff(270,plain,
% 0.19/0.46 (![X: $i, Y: $i] : ((X = Y) | smaller(X, Y) | greater(X, Y))),
% 0.19/0.46 inference(modus_ponens,[status(thm)],[269, 268])).
% 0.19/0.46 tff(271,plain,
% 0.19/0.46 (![X: $i, Y: $i] : ((X = Y) | smaller(X, Y) | greater(X, Y))),
% 0.19/0.46 inference(modus_ponens,[status(thm)],[270, 266])).
% 0.19/0.46 tff(272,plain,(
% 0.19/0.46 ![X: $i, Y: $i] : ((X = Y) | smaller(X, Y) | greater(X, Y))),
% 0.19/0.46 inference(skolemize,[status(sab)],[271])).
% 0.19/0.46 tff(273,plain,
% 0.19/0.46 (![X: $i, Y: $i] : ((X = Y) | smaller(X, Y) | greater(X, Y))),
% 0.19/0.46 inference(modus_ponens,[status(thm)],[272, 265])).
% 0.19/0.46 tff(274,plain,
% 0.19/0.46 (((~![X: $i, Y: $i] : ((X = Y) | smaller(X, Y) | greater(X, Y))) | (greater(age(X!5, T0!4), eta) | (age(X!5, T0!4) = eta) | smaller(age(X!5, T0!4), eta))) <=> ((~![X: $i, Y: $i] : ((X = Y) | smaller(X, Y) | greater(X, Y))) | greater(age(X!5, T0!4), eta) | (age(X!5, T0!4) = eta) | smaller(age(X!5, T0!4), eta))),
% 0.19/0.46 inference(rewrite,[status(thm)],[])).
% 0.19/0.46 tff(275,plain,
% 0.19/0.46 (((age(X!5, T0!4) = eta) | smaller(age(X!5, T0!4), eta) | greater(age(X!5, T0!4), eta)) <=> (greater(age(X!5, T0!4), eta) | (age(X!5, T0!4) = eta) | smaller(age(X!5, T0!4), eta))),
% 0.19/0.46 inference(rewrite,[status(thm)],[])).
% 0.19/0.46 tff(276,plain,
% 0.19/0.46 (((~![X: $i, Y: $i] : ((X = Y) | smaller(X, Y) | greater(X, Y))) | ((age(X!5, T0!4) = eta) | smaller(age(X!5, T0!4), eta) | greater(age(X!5, T0!4), eta))) <=> ((~![X: $i, Y: $i] : ((X = Y) | smaller(X, Y) | greater(X, Y))) | (greater(age(X!5, T0!4), eta) | (age(X!5, T0!4) = eta) | smaller(age(X!5, T0!4), eta)))),
% 0.19/0.46 inference(monotonicity,[status(thm)],[275])).
% 0.19/0.46 tff(277,plain,
% 0.19/0.46 (((~![X: $i, Y: $i] : ((X = Y) | smaller(X, Y) | greater(X, Y))) | ((age(X!5, T0!4) = eta) | smaller(age(X!5, T0!4), eta) | greater(age(X!5, T0!4), eta))) <=> ((~![X: $i, Y: $i] : ((X = Y) | smaller(X, Y) | greater(X, Y))) | greater(age(X!5, T0!4), eta) | (age(X!5, T0!4) = eta) | smaller(age(X!5, T0!4), eta))),
% 0.19/0.46 inference(transitivity,[status(thm)],[276, 274])).
% 0.19/0.46 tff(278,plain,
% 0.19/0.46 ((~![X: $i, Y: $i] : ((X = Y) | smaller(X, Y) | greater(X, Y))) | ((age(X!5, T0!4) = eta) | smaller(age(X!5, T0!4), eta) | greater(age(X!5, T0!4), eta))),
% 0.19/0.46 inference(quant_inst,[status(thm)],[])).
% 0.19/0.46 tff(279,plain,
% 0.19/0.46 ((~![X: $i, Y: $i] : ((X = Y) | smaller(X, Y) | greater(X, Y))) | greater(age(X!5, T0!4), eta) | (age(X!5, T0!4) = eta) | smaller(age(X!5, T0!4), eta)),
% 0.19/0.46 inference(modus_ponens,[status(thm)],[278, 277])).
% 0.19/0.46 tff(280,plain,
% 0.19/0.46 (greater(age(X!5, T0!4), eta)),
% 0.19/0.46 inference(unit_resolution,[status(thm)],[279, 273, 263, 261])).
% 0.19/0.46 tff(281,plain,
% 0.19/0.46 (((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | ((~greater(age(X!5, T0!4), eta)) | greater(age(X!5, T1!3), eta) | (~greater(age(X!5, T1!3), age(X!5, T0!4))))) <=> ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (~greater(age(X!5, T0!4), eta)) | greater(age(X!5, T1!3), eta) | (~greater(age(X!5, T1!3), age(X!5, T0!4))))),
% 0.19/0.46 inference(rewrite,[status(thm)],[])).
% 0.19/0.46 tff(282,plain,
% 0.19/0.46 ((greater(age(X!5, T1!3), eta) | (~greater(age(X!5, T0!4), eta)) | (~greater(age(X!5, T1!3), age(X!5, T0!4)))) <=> ((~greater(age(X!5, T0!4), eta)) | greater(age(X!5, T1!3), eta) | (~greater(age(X!5, T1!3), age(X!5, T0!4))))),
% 0.19/0.46 inference(rewrite,[status(thm)],[])).
% 0.19/0.46 tff(283,plain,
% 0.19/0.46 (((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (greater(age(X!5, T1!3), eta) | (~greater(age(X!5, T0!4), eta)) | (~greater(age(X!5, T1!3), age(X!5, T0!4))))) <=> ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | ((~greater(age(X!5, T0!4), eta)) | greater(age(X!5, T1!3), eta) | (~greater(age(X!5, T1!3), age(X!5, T0!4)))))),
% 0.19/0.46 inference(monotonicity,[status(thm)],[282])).
% 0.19/0.46 tff(284,plain,
% 0.19/0.46 (((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (greater(age(X!5, T1!3), eta) | (~greater(age(X!5, T0!4), eta)) | (~greater(age(X!5, T1!3), age(X!5, T0!4))))) <=> ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (~greater(age(X!5, T0!4), eta)) | greater(age(X!5, T1!3), eta) | (~greater(age(X!5, T1!3), age(X!5, T0!4))))),
% 0.19/0.46 inference(transitivity,[status(thm)],[283, 281])).
% 0.19/0.46 tff(285,plain,
% 0.19/0.46 ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (greater(age(X!5, T1!3), eta) | (~greater(age(X!5, T0!4), eta)) | (~greater(age(X!5, T1!3), age(X!5, T0!4))))),
% 0.19/0.46 inference(quant_inst,[status(thm)],[])).
% 0.19/0.46 tff(286,plain,
% 0.19/0.46 ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (~greater(age(X!5, T0!4), eta)) | greater(age(X!5, T1!3), eta) | (~greater(age(X!5, T1!3), age(X!5, T0!4)))),
% 0.19/0.46 inference(modus_ponens,[status(thm)],[285, 284])).
% 0.19/0.46 tff(287,plain,
% 0.19/0.46 ($false),
% 0.19/0.46 inference(unit_resolution,[status(thm)],[286, 144, 280, 254, 250])).
% 0.19/0.46 tff(288,plain,(smaller_or_equal(age(X!5, T0!4), eta)), inference(lemma,lemma(discharge,[]))).
% 0.19/0.46 tff(289,plain,
% 0.19/0.46 ((~![T: $i] : (~((~organization(X!5)) | (~((~smaller_or_equal(age(X!5, T), eta)) | has_immunity(X!5, T))) | (~((~has_immunity(X!5, T)) | (~greater(age(X!5, T), eta))))))) | (~((~organization(X!5)) | (~((~smaller_or_equal(age(X!5, T0!4), eta)) | has_immunity(X!5, T0!4))) | (~((~has_immunity(X!5, T0!4)) | (~greater(age(X!5, T0!4), eta))))))),
% 0.19/0.46 inference(quant_inst,[status(thm)],[])).
% 0.19/0.46 tff(290,plain,
% 0.19/0.46 (~((~organization(X!5)) | (~((~smaller_or_equal(age(X!5, T0!4), eta)) | has_immunity(X!5, T0!4))) | (~((~has_immunity(X!5, T0!4)) | (~greater(age(X!5, T0!4), eta)))))),
% 0.19/0.46 inference(unit_resolution,[status(thm)],[289, 126])).
% 0.19/0.46 tff(291,plain,
% 0.19/0.46 (((~organization(X!5)) | (~((~smaller_or_equal(age(X!5, T0!4), eta)) | has_immunity(X!5, T0!4))) | (~((~has_immunity(X!5, T0!4)) | (~greater(age(X!5, T0!4), eta))))) | ((~smaller_or_equal(age(X!5, T0!4), eta)) | has_immunity(X!5, T0!4))),
% 0.19/0.46 inference(tautology,[status(thm)],[])).
% 0.19/0.46 tff(292,plain,
% 0.19/0.46 ((~smaller_or_equal(age(X!5, T0!4), eta)) | has_immunity(X!5, T0!4)),
% 0.19/0.46 inference(unit_resolution,[status(thm)],[291, 290])).
% 0.19/0.46 tff(293,plain,
% 0.19/0.46 ((~((~smaller_or_equal(age(X!5, T0!4), eta)) | has_immunity(X!5, T0!4))) | (~smaller_or_equal(age(X!5, T0!4), eta)) | has_immunity(X!5, T0!4)),
% 0.19/0.46 inference(tautology,[status(thm)],[])).
% 0.19/0.46 tff(294,plain,
% 0.19/0.46 ((~smaller_or_equal(age(X!5, T0!4), eta)) | has_immunity(X!5, T0!4)),
% 0.19/0.46 inference(unit_resolution,[status(thm)],[293, 292])).
% 0.19/0.46 tff(295,plain,
% 0.19/0.46 (has_immunity(X!5, T0!4)),
% 0.19/0.46 inference(unit_resolution,[status(thm)],[294, 288])).
% 0.19/0.46 tff(296,assumption,(~(hazard_of_mortality(X!5, T1!3) = hazard_of_mortality(X!5, T0!4))), introduced(assumption)).
% 0.19/0.46 tff(297,plain,
% 0.19/0.46 (^[X: $i, T0: $i, T: $i] : refl(((hazard_of_mortality(X, T0) = hazard_of_mortality(X, T)) | (~has_immunity(X, T)) | (~has_immunity(X, T0)) | (~organization(X))) <=> ((hazard_of_mortality(X, T0) = hazard_of_mortality(X, T)) | (~has_immunity(X, T)) | (~has_immunity(X, T0)) | (~organization(X))))),
% 0.19/0.46 inference(bind,[status(th)],[])).
% 0.19/0.46 tff(298,plain,
% 0.19/0.46 (![X: $i, T0: $i, T: $i] : ((hazard_of_mortality(X, T0) = hazard_of_mortality(X, T)) | (~has_immunity(X, T)) | (~has_immunity(X, T0)) | (~organization(X))) <=> ![X: $i, T0: $i, T: $i] : ((hazard_of_mortality(X, T0) = hazard_of_mortality(X, T)) | (~has_immunity(X, T)) | (~has_immunity(X, T0)) | (~organization(X)))),
% 0.19/0.46 inference(quant_intro,[status(thm)],[297])).
% 0.19/0.46 tff(299,plain,
% 0.19/0.46 (^[X: $i, T0: $i, T: $i] : trans(monotonicity(trans(monotonicity(rewrite((organization(X) & has_immunity(X, T0) & has_immunity(X, T)) <=> (~((~has_immunity(X, T)) | (~has_immunity(X, T0)) | (~organization(X))))), ((~(organization(X) & has_immunity(X, T0) & has_immunity(X, T))) <=> (~(~((~has_immunity(X, T)) | (~has_immunity(X, T0)) | (~organization(X))))))), rewrite((~(~((~has_immunity(X, T)) | (~has_immunity(X, T0)) | (~organization(X))))) <=> ((~has_immunity(X, T)) | (~has_immunity(X, T0)) | (~organization(X)))), ((~(organization(X) & has_immunity(X, T0) & has_immunity(X, T))) <=> ((~has_immunity(X, T)) | (~has_immunity(X, T0)) | (~organization(X))))), (((~(organization(X) & has_immunity(X, T0) & has_immunity(X, T))) | (hazard_of_mortality(X, T0) = hazard_of_mortality(X, T))) <=> (((~has_immunity(X, T)) | (~has_immunity(X, T0)) | (~organization(X))) | (hazard_of_mortality(X, T0) = hazard_of_mortality(X, T))))), rewrite((((~has_immunity(X, T)) | (~has_immunity(X, T0)) | (~organization(X))) | (hazard_of_mortality(X, T0) = hazard_of_mortality(X, T))) <=> ((hazard_of_mortality(X, T0) = hazard_of_mortality(X, T)) | (~has_immunity(X, T)) | (~has_immunity(X, T0)) | (~organization(X)))), (((~(organization(X) & has_immunity(X, T0) & has_immunity(X, T))) | (hazard_of_mortality(X, T0) = hazard_of_mortality(X, T))) <=> ((hazard_of_mortality(X, T0) = hazard_of_mortality(X, T)) | (~has_immunity(X, T)) | (~has_immunity(X, T0)) | (~organization(X)))))),
% 0.19/0.46 inference(bind,[status(th)],[])).
% 0.19/0.46 tff(300,plain,
% 0.19/0.46 (![X: $i, T0: $i, T: $i] : ((~(organization(X) & has_immunity(X, T0) & has_immunity(X, T))) | (hazard_of_mortality(X, T0) = hazard_of_mortality(X, T))) <=> ![X: $i, T0: $i, T: $i] : ((hazard_of_mortality(X, T0) = hazard_of_mortality(X, T)) | (~has_immunity(X, T)) | (~has_immunity(X, T0)) | (~organization(X)))),
% 0.19/0.46 inference(quant_intro,[status(thm)],[299])).
% 0.19/0.46 tff(301,plain,
% 0.19/0.46 (![X: $i, T0: $i, T: $i] : ((~(organization(X) & has_immunity(X, T0) & has_immunity(X, T))) | (hazard_of_mortality(X, T0) = hazard_of_mortality(X, T))) <=> ![X: $i, T0: $i, T: $i] : ((~(organization(X) & has_immunity(X, T0) & has_immunity(X, T))) | (hazard_of_mortality(X, T0) = hazard_of_mortality(X, T)))),
% 0.19/0.46 inference(rewrite,[status(thm)],[])).
% 0.19/0.46 tff(302,plain,
% 0.19/0.46 (^[X: $i, T0: $i, T: $i] : trans(monotonicity(rewrite(((organization(X) & has_immunity(X, T0)) & has_immunity(X, T)) <=> (organization(X) & has_immunity(X, T0) & has_immunity(X, T))), ((((organization(X) & has_immunity(X, T0)) & has_immunity(X, T)) => (hazard_of_mortality(X, T0) = hazard_of_mortality(X, T))) <=> ((organization(X) & has_immunity(X, T0) & has_immunity(X, T)) => (hazard_of_mortality(X, T0) = hazard_of_mortality(X, T))))), rewrite(((organization(X) & has_immunity(X, T0) & has_immunity(X, T)) => (hazard_of_mortality(X, T0) = hazard_of_mortality(X, T))) <=> ((~(organization(X) & has_immunity(X, T0) & has_immunity(X, T))) | (hazard_of_mortality(X, T0) = hazard_of_mortality(X, T)))), ((((organization(X) & has_immunity(X, T0)) & has_immunity(X, T)) => (hazard_of_mortality(X, T0) = hazard_of_mortality(X, T))) <=> ((~(organization(X) & has_immunity(X, T0) & has_immunity(X, T))) | (hazard_of_mortality(X, T0) = hazard_of_mortality(X, T)))))),
% 0.19/0.46 inference(bind,[status(th)],[])).
% 0.19/0.46 tff(303,plain,
% 0.19/0.46 (![X: $i, T0: $i, T: $i] : (((organization(X) & has_immunity(X, T0)) & has_immunity(X, T)) => (hazard_of_mortality(X, T0) = hazard_of_mortality(X, T))) <=> ![X: $i, T0: $i, T: $i] : ((~(organization(X) & has_immunity(X, T0) & has_immunity(X, T))) | (hazard_of_mortality(X, T0) = hazard_of_mortality(X, T)))),
% 0.19/0.46 inference(quant_intro,[status(thm)],[302])).
% 0.19/0.46 tff(304,axiom,(![X: $i, T0: $i, T: $i] : (((organization(X) & has_immunity(X, T0)) & has_immunity(X, T)) => (hazard_of_mortality(X, T0) = hazard_of_mortality(X, T)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','assumption_2')).
% 0.19/0.46 tff(305,plain,
% 0.19/0.46 (![X: $i, T0: $i, T: $i] : ((~(organization(X) & has_immunity(X, T0) & has_immunity(X, T))) | (hazard_of_mortality(X, T0) = hazard_of_mortality(X, T)))),
% 0.19/0.46 inference(modus_ponens,[status(thm)],[304, 303])).
% 0.19/0.46 tff(306,plain,
% 0.19/0.46 (![X: $i, T0: $i, T: $i] : ((~(organization(X) & has_immunity(X, T0) & has_immunity(X, T))) | (hazard_of_mortality(X, T0) = hazard_of_mortality(X, T)))),
% 0.19/0.46 inference(modus_ponens,[status(thm)],[305, 301])).
% 0.19/0.46 tff(307,plain,(
% 0.19/0.46 ![X: $i, T0: $i, T: $i] : ((~(organization(X) & has_immunity(X, T0) & has_immunity(X, T))) | (hazard_of_mortality(X, T0) = hazard_of_mortality(X, T)))),
% 0.19/0.46 inference(skolemize,[status(sab)],[306])).
% 0.19/0.46 tff(308,plain,
% 0.19/0.46 (![X: $i, T0: $i, T: $i] : ((hazard_of_mortality(X, T0) = hazard_of_mortality(X, T)) | (~has_immunity(X, T)) | (~has_immunity(X, T0)) | (~organization(X)))),
% 0.19/0.46 inference(modus_ponens,[status(thm)],[307, 300])).
% 0.19/0.46 tff(309,plain,
% 0.19/0.46 (![X: $i, T0: $i, T: $i] : ((hazard_of_mortality(X, T0) = hazard_of_mortality(X, T)) | (~has_immunity(X, T)) | (~has_immunity(X, T0)) | (~organization(X)))),
% 0.19/0.46 inference(modus_ponens,[status(thm)],[308, 298])).
% 0.19/0.46 tff(310,plain,
% 0.19/0.46 (((~![X: $i, T0: $i, T: $i] : ((hazard_of_mortality(X, T0) = hazard_of_mortality(X, T)) | (~has_immunity(X, T)) | (~has_immunity(X, T0)) | (~organization(X)))) | ((hazard_of_mortality(X!5, T1!3) = hazard_of_mortality(X!5, T0!4)) | (~organization(X!5)) | (~has_immunity(X!5, T0!4)) | (~has_immunity(X!5, T1!3)))) <=> ((~![X: $i, T0: $i, T: $i] : ((hazard_of_mortality(X, T0) = hazard_of_mortality(X, T)) | (~has_immunity(X, T)) | (~has_immunity(X, T0)) | (~organization(X)))) | (hazard_of_mortality(X!5, T1!3) = hazard_of_mortality(X!5, T0!4)) | (~organization(X!5)) | (~has_immunity(X!5, T0!4)) | (~has_immunity(X!5, T1!3)))),
% 0.19/0.46 inference(rewrite,[status(thm)],[])).
% 0.19/0.46 tff(311,plain,
% 0.19/0.46 (((hazard_of_mortality(X!5, T1!3) = hazard_of_mortality(X!5, T0!4)) | (~has_immunity(X!5, T0!4)) | (~has_immunity(X!5, T1!3)) | (~organization(X!5))) <=> ((hazard_of_mortality(X!5, T1!3) = hazard_of_mortality(X!5, T0!4)) | (~organization(X!5)) | (~has_immunity(X!5, T0!4)) | (~has_immunity(X!5, T1!3)))),
% 0.19/0.46 inference(rewrite,[status(thm)],[])).
% 0.19/0.46 tff(312,plain,
% 0.19/0.46 (((~![X: $i, T0: $i, T: $i] : ((hazard_of_mortality(X, T0) = hazard_of_mortality(X, T)) | (~has_immunity(X, T)) | (~has_immunity(X, T0)) | (~organization(X)))) | ((hazard_of_mortality(X!5, T1!3) = hazard_of_mortality(X!5, T0!4)) | (~has_immunity(X!5, T0!4)) | (~has_immunity(X!5, T1!3)) | (~organization(X!5)))) <=> ((~![X: $i, T0: $i, T: $i] : ((hazard_of_mortality(X, T0) = hazard_of_mortality(X, T)) | (~has_immunity(X, T)) | (~has_immunity(X, T0)) | (~organization(X)))) | ((hazard_of_mortality(X!5, T1!3) = hazard_of_mortality(X!5, T0!4)) | (~organization(X!5)) | (~has_immunity(X!5, T0!4)) | (~has_immunity(X!5, T1!3))))),
% 0.19/0.46 inference(monotonicity,[status(thm)],[311])).
% 0.19/0.46 tff(313,plain,
% 0.19/0.46 (((~![X: $i, T0: $i, T: $i] : ((hazard_of_mortality(X, T0) = hazard_of_mortality(X, T)) | (~has_immunity(X, T)) | (~has_immunity(X, T0)) | (~organization(X)))) | ((hazard_of_mortality(X!5, T1!3) = hazard_of_mortality(X!5, T0!4)) | (~has_immunity(X!5, T0!4)) | (~has_immunity(X!5, T1!3)) | (~organization(X!5)))) <=> ((~![X: $i, T0: $i, T: $i] : ((hazard_of_mortality(X, T0) = hazard_of_mortality(X, T)) | (~has_immunity(X, T)) | (~has_immunity(X, T0)) | (~organization(X)))) | (hazard_of_mortality(X!5, T1!3) = hazard_of_mortality(X!5, T0!4)) | (~organization(X!5)) | (~has_immunity(X!5, T0!4)) | (~has_immunity(X!5, T1!3)))),
% 0.19/0.46 inference(transitivity,[status(thm)],[312, 310])).
% 0.19/0.46 tff(314,plain,
% 0.19/0.46 ((~![X: $i, T0: $i, T: $i] : ((hazard_of_mortality(X, T0) = hazard_of_mortality(X, T)) | (~has_immunity(X, T)) | (~has_immunity(X, T0)) | (~organization(X)))) | ((hazard_of_mortality(X!5, T1!3) = hazard_of_mortality(X!5, T0!4)) | (~has_immunity(X!5, T0!4)) | (~has_immunity(X!5, T1!3)) | (~organization(X!5)))),
% 0.19/0.46 inference(quant_inst,[status(thm)],[])).
% 0.19/0.46 tff(315,plain,
% 0.19/0.46 ((~![X: $i, T0: $i, T: $i] : ((hazard_of_mortality(X, T0) = hazard_of_mortality(X, T)) | (~has_immunity(X, T)) | (~has_immunity(X, T0)) | (~organization(X)))) | (hazard_of_mortality(X!5, T1!3) = hazard_of_mortality(X!5, T0!4)) | (~organization(X!5)) | (~has_immunity(X!5, T0!4)) | (~has_immunity(X!5, T1!3))),
% 0.19/0.46 inference(modus_ponens,[status(thm)],[314, 313])).
% 0.19/0.46 tff(316,plain,
% 0.19/0.46 ($false),
% 0.19/0.46 inference(unit_resolution,[status(thm)],[315, 309, 13, 296, 295, 196])).
% 0.19/0.46 tff(317,plain,(hazard_of_mortality(X!5, T1!3) = hazard_of_mortality(X!5, T0!4)), inference(lemma,lemma(discharge,[]))).
% 0.19/0.46 tff(318,plain,
% 0.19/0.46 ((~(~((~greater(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2))) | (~greater(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T1!3))) | (~(hazard_of_mortality(X!5, T1!3) = hazard_of_mortality(X!5, T0!4)))))) <=> ((~greater(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2))) | (~greater(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T1!3))) | (~(hazard_of_mortality(X!5, T1!3) = hazard_of_mortality(X!5, T0!4))))),
% 0.19/0.46 inference(rewrite,[status(thm)],[])).
% 0.19/0.46 tff(319,plain,
% 0.19/0.46 ((greater(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2)) & greater(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T1!3)) & (hazard_of_mortality(X!5, T1!3) = hazard_of_mortality(X!5, T0!4))) <=> (~((~greater(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2))) | (~greater(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T1!3))) | (~(hazard_of_mortality(X!5, T1!3) = hazard_of_mortality(X!5, T0!4)))))),
% 0.19/0.47 inference(rewrite,[status(thm)],[])).
% 0.19/0.47 tff(320,plain,
% 0.19/0.47 ((~(greater(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2)) & greater(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T1!3)) & (hazard_of_mortality(X!5, T1!3) = hazard_of_mortality(X!5, T0!4)))) <=> (~(~((~greater(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2))) | (~greater(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T1!3))) | (~(hazard_of_mortality(X!5, T1!3) = hazard_of_mortality(X!5, T0!4))))))),
% 0.19/0.47 inference(monotonicity,[status(thm)],[319])).
% 0.19/0.47 tff(321,plain,
% 0.19/0.47 ((~(greater(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2)) & greater(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T1!3)) & (hazard_of_mortality(X!5, T1!3) = hazard_of_mortality(X!5, T0!4)))) <=> ((~greater(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2))) | (~greater(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T1!3))) | (~(hazard_of_mortality(X!5, T1!3) = hazard_of_mortality(X!5, T0!4))))),
% 0.19/0.47 inference(transitivity,[status(thm)],[320, 318])).
% 0.19/0.47 tff(322,plain,
% 0.19/0.47 (~(greater(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2)) & greater(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T1!3)) & (hazard_of_mortality(X!5, T1!3) = hazard_of_mortality(X!5, T0!4)))),
% 0.19/0.47 inference(or_elim,[status(thm)],[11])).
% 0.19/0.47 tff(323,plain,
% 0.19/0.47 ((~greater(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2))) | (~greater(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T1!3))) | (~(hazard_of_mortality(X!5, T1!3) = hazard_of_mortality(X!5, T0!4)))),
% 0.19/0.47 inference(modus_ponens,[status(thm)],[322, 321])).
% 0.19/0.47 tff(324,plain,
% 0.19/0.47 ((~greater(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2))) | (~greater(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T1!3)))),
% 0.19/0.47 inference(unit_resolution,[status(thm)],[323, 317])).
% 0.19/0.47 tff(325,plain,
% 0.19/0.47 (~greater(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2))),
% 0.19/0.47 inference(unit_resolution,[status(thm)],[324, 218])).
% 0.19/0.47 tff(326,plain,
% 0.19/0.47 ((~(smaller(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T3!1)) <=> greater(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2)))) | (~smaller(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T3!1))) | greater(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2))),
% 0.19/0.47 inference(tautology,[status(thm)],[])).
% 0.19/0.47 tff(327,plain,
% 0.19/0.47 ((~(smaller(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T3!1)) <=> greater(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2)))) | (~smaller(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T3!1)))),
% 0.19/0.47 inference(unit_resolution,[status(thm)],[326, 325])).
% 0.19/0.47 tff(328,plain,
% 0.19/0.47 (~smaller(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T3!1))),
% 0.19/0.47 inference(unit_resolution,[status(thm)],[327, 188])).
% 0.19/0.47 tff(329,plain,
% 0.19/0.47 ((~((~greater(capability(X!5, T2!2), capability(X!5, T3!1))) | smaller(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T3!1)) | (~greater_or_equal(position(X!5, T2!2), position(X!5, T3!1))))) | (~greater(capability(X!5, T2!2), capability(X!5, T3!1))) | smaller(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T3!1)) | (~greater_or_equal(position(X!5, T2!2), position(X!5, T3!1)))),
% 0.19/0.47 inference(tautology,[status(thm)],[])).
% 0.19/0.47 tff(330,plain,
% 0.19/0.47 ((~((~greater(capability(X!5, T2!2), capability(X!5, T3!1))) | smaller(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T3!1)) | (~greater_or_equal(position(X!5, T2!2), position(X!5, T3!1))))) | (~greater(capability(X!5, T2!2), capability(X!5, T3!1))) | (~greater_or_equal(position(X!5, T2!2), position(X!5, T3!1)))),
% 0.19/0.47 inference(unit_resolution,[status(thm)],[329, 328])).
% 0.19/0.47 tff(331,plain,
% 0.19/0.47 ((~greater(capability(X!5, T2!2), capability(X!5, T3!1))) | (~greater_or_equal(position(X!5, T2!2), position(X!5, T3!1)))),
% 0.19/0.47 inference(unit_resolution,[status(thm)],[330, 186])).
% 0.19/0.47 tff(332,plain,
% 0.19/0.47 (~greater(capability(X!5, T2!2), capability(X!5, T3!1))),
% 0.19/0.47 inference(unit_resolution,[status(thm)],[331, 99])).
% 0.19/0.47 tff(333,plain,
% 0.19/0.47 ((~(smaller(capability(X!5, T3!1), capability(X!5, T2!2)) <=> greater(capability(X!5, T2!2), capability(X!5, T3!1)))) | (~smaller(capability(X!5, T3!1), capability(X!5, T2!2))) | greater(capability(X!5, T2!2), capability(X!5, T3!1))),
% 0.19/0.47 inference(tautology,[status(thm)],[])).
% 0.19/0.47 tff(334,plain,
% 0.19/0.47 ((~(smaller(capability(X!5, T3!1), capability(X!5, T2!2)) <=> greater(capability(X!5, T2!2), capability(X!5, T3!1)))) | (~smaller(capability(X!5, T3!1), capability(X!5, T2!2)))),
% 0.19/0.47 inference(unit_resolution,[status(thm)],[333, 332])).
% 0.19/0.47 tff(335,plain,
% 0.19/0.47 (~smaller(capability(X!5, T3!1), capability(X!5, T2!2))),
% 0.19/0.47 inference(unit_resolution,[status(thm)],[334, 40])).
% 0.19/0.47 tff(336,plain,
% 0.19/0.47 (^[X: $i, T0: $i, T: $i] : refl(((~organization(X)) | (~((~(greater(capability(X, T), capability(X, T0)) | (~greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))) | (~smaller_or_equal(internal_friction(X, T), internal_friction(X, T0))))) | (~(smaller(capability(X, T), capability(X, T0)) | (~smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))) | (~greater(internal_friction(X, T), internal_friction(X, T0))))) | (~((capability(X, T) = capability(X, T0)) | (~(stock_of_knowledge(X, T) = stock_of_knowledge(X, T0))) | (~(internal_friction(X, T) = internal_friction(X, T0)))))))) <=> ((~organization(X)) | (~((~(greater(capability(X, T), capability(X, T0)) | (~greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))) | (~smaller_or_equal(internal_friction(X, T), internal_friction(X, T0))))) | (~(smaller(capability(X, T), capability(X, T0)) | (~smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))) | (~greater(internal_friction(X, T), internal_friction(X, T0))))) | (~((capability(X, T) = capability(X, T0)) | (~(stock_of_knowledge(X, T) = stock_of_knowledge(X, T0))) | (~(internal_friction(X, T) = internal_friction(X, T0)))))))))),
% 0.19/0.47 inference(bind,[status(th)],[])).
% 0.19/0.47 tff(337,plain,
% 0.19/0.47 (![X: $i, T0: $i, T: $i] : ((~organization(X)) | (~((~(greater(capability(X, T), capability(X, T0)) | (~greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))) | (~smaller_or_equal(internal_friction(X, T), internal_friction(X, T0))))) | (~(smaller(capability(X, T), capability(X, T0)) | (~smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))) | (~greater(internal_friction(X, T), internal_friction(X, T0))))) | (~((capability(X, T) = capability(X, T0)) | (~(stock_of_knowledge(X, T) = stock_of_knowledge(X, T0))) | (~(internal_friction(X, T) = internal_friction(X, T0)))))))) <=> ![X: $i, T0: $i, T: $i] : ((~organization(X)) | (~((~(greater(capability(X, T), capability(X, T0)) | (~greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))) | (~smaller_or_equal(internal_friction(X, T), internal_friction(X, T0))))) | (~(smaller(capability(X, T), capability(X, T0)) | (~smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))) | (~greater(internal_friction(X, T), internal_friction(X, T0))))) | (~((capability(X, T) = capability(X, T0)) | (~(stock_of_knowledge(X, T) = stock_of_knowledge(X, T0))) | (~(internal_friction(X, T) = internal_friction(X, T0))))))))),
% 0.19/0.47 inference(quant_intro,[status(thm)],[336])).
% 0.19/0.47 tff(338,plain,
% 0.19/0.47 (^[X: $i, T0: $i, T: $i] : rewrite(((~organization(X)) | (((~(greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & smaller_or_equal(internal_friction(X, T), internal_friction(X, T0)))) | greater(capability(X, T), capability(X, T0))) & ((~(smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & greater(internal_friction(X, T), internal_friction(X, T0)))) | smaller(capability(X, T), capability(X, T0))) & ((~((stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)) & (internal_friction(X, T) = internal_friction(X, T0)))) | (capability(X, T) = capability(X, T0))))) <=> ((~organization(X)) | (~((~(greater(capability(X, T), capability(X, T0)) | (~greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))) | (~smaller_or_equal(internal_friction(X, T), internal_friction(X, T0))))) | (~(smaller(capability(X, T), capability(X, T0)) | (~smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))) | (~greater(internal_friction(X, T), internal_friction(X, T0))))) | (~((capability(X, T) = capability(X, T0)) | (~(stock_of_knowledge(X, T) = stock_of_knowledge(X, T0))) | (~(internal_friction(X, T) = internal_friction(X, T0)))))))))),
% 0.19/0.47 inference(bind,[status(th)],[])).
% 0.19/0.47 tff(339,plain,
% 0.19/0.47 (![X: $i, T0: $i, T: $i] : ((~organization(X)) | (((~(greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & smaller_or_equal(internal_friction(X, T), internal_friction(X, T0)))) | greater(capability(X, T), capability(X, T0))) & ((~(smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & greater(internal_friction(X, T), internal_friction(X, T0)))) | smaller(capability(X, T), capability(X, T0))) & ((~((stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)) & (internal_friction(X, T) = internal_friction(X, T0)))) | (capability(X, T) = capability(X, T0))))) <=> ![X: $i, T0: $i, T: $i] : ((~organization(X)) | (~((~(greater(capability(X, T), capability(X, T0)) | (~greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))) | (~smaller_or_equal(internal_friction(X, T), internal_friction(X, T0))))) | (~(smaller(capability(X, T), capability(X, T0)) | (~smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))) | (~greater(internal_friction(X, T), internal_friction(X, T0))))) | (~((capability(X, T) = capability(X, T0)) | (~(stock_of_knowledge(X, T) = stock_of_knowledge(X, T0))) | (~(internal_friction(X, T) = internal_friction(X, T0))))))))),
% 0.19/0.47 inference(quant_intro,[status(thm)],[338])).
% 0.19/0.47 tff(340,plain,
% 0.19/0.47 (![X: $i, T0: $i, T: $i] : ((~organization(X)) | (((~(greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & smaller_or_equal(internal_friction(X, T), internal_friction(X, T0)))) | greater(capability(X, T), capability(X, T0))) & ((~(smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & greater(internal_friction(X, T), internal_friction(X, T0)))) | smaller(capability(X, T), capability(X, T0))) & ((~((stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)) & (internal_friction(X, T) = internal_friction(X, T0)))) | (capability(X, T) = capability(X, T0))))) <=> ![X: $i, T0: $i, T: $i] : ((~organization(X)) | (((~(greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & smaller_or_equal(internal_friction(X, T), internal_friction(X, T0)))) | greater(capability(X, T), capability(X, T0))) & ((~(smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & greater(internal_friction(X, T), internal_friction(X, T0)))) | smaller(capability(X, T), capability(X, T0))) & ((~((stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)) & (internal_friction(X, T) = internal_friction(X, T0)))) | (capability(X, T) = capability(X, T0)))))),
% 0.19/0.47 inference(rewrite,[status(thm)],[])).
% 0.19/0.47 tff(341,plain,
% 0.19/0.47 (^[X: $i, T0: $i, T: $i] : trans(monotonicity(trans(monotonicity(rewrite((((greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & smaller_or_equal(internal_friction(X, T), internal_friction(X, T0))) => greater(capability(X, T), capability(X, T0))) & ((smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & greater(internal_friction(X, T), internal_friction(X, T0))) => smaller(capability(X, T), capability(X, T0)))) <=> (((~(greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & smaller_or_equal(internal_friction(X, T), internal_friction(X, T0)))) | greater(capability(X, T), capability(X, T0))) & ((~(smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & greater(internal_friction(X, T), internal_friction(X, T0)))) | smaller(capability(X, T), capability(X, T0))))), rewrite((((stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)) & (internal_friction(X, T) = internal_friction(X, T0))) => (capability(X, T) = capability(X, T0))) <=> ((~((stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)) & (internal_friction(X, T) = internal_friction(X, T0)))) | (capability(X, T) = capability(X, T0)))), (((((greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & smaller_or_equal(internal_friction(X, T), internal_friction(X, T0))) => greater(capability(X, T), capability(X, T0))) & ((smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & greater(internal_friction(X, T), internal_friction(X, T0))) => smaller(capability(X, T), capability(X, T0)))) & (((stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)) & (internal_friction(X, T) = internal_friction(X, T0))) => (capability(X, T) = capability(X, T0)))) <=> ((((~(greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & smaller_or_equal(internal_friction(X, T), internal_friction(X, T0)))) | greater(capability(X, T), capability(X, T0))) & ((~(smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & greater(internal_friction(X, T), internal_friction(X, T0)))) | smaller(capability(X, T), capability(X, T0)))) & ((~((stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)) & (internal_friction(X, T) = internal_friction(X, T0)))) | (capability(X, T) = capability(X, T0)))))), rewrite(((((~(greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & smaller_or_equal(internal_friction(X, T), internal_friction(X, T0)))) | greater(capability(X, T), capability(X, T0))) & ((~(smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & greater(internal_friction(X, T), internal_friction(X, T0)))) | smaller(capability(X, T), capability(X, T0)))) & ((~((stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)) & (internal_friction(X, T) = internal_friction(X, T0)))) | (capability(X, T) = capability(X, T0)))) <=> (((~(greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & smaller_or_equal(internal_friction(X, T), internal_friction(X, T0)))) | greater(capability(X, T), capability(X, T0))) & ((~(smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & greater(internal_friction(X, T), internal_friction(X, T0)))) | smaller(capability(X, T), capability(X, T0))) & ((~((stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)) & (internal_friction(X, T) = internal_friction(X, T0)))) | (capability(X, T) = capability(X, T0))))), (((((greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & smaller_or_equal(internal_friction(X, T), internal_friction(X, T0))) => greater(capability(X, T), capability(X, T0))) & ((smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & greater(internal_friction(X, T), internal_friction(X, T0))) => smaller(capability(X, T), capability(X, T0)))) & (((stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)) & (internal_friction(X, T) = internal_friction(X, T0))) => (capability(X, T) = capability(X, T0)))) <=> (((~(greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & smaller_or_equal(internal_friction(X, T), internal_friction(X, T0)))) | greater(capability(X, T), capability(X, T0))) & ((~(smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & greater(internal_friction(X, T), internal_friction(X, T0)))) | smaller(capability(X, T), capability(X, T0))) & ((~((stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)) & (internal_friction(X, T) = internal_friction(X, T0)))) | (capability(X, T) = capability(X, T0)))))), ((organization(X) => ((((greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & smaller_or_equal(internal_friction(X, T), internal_friction(X, T0))) => greater(capability(X, T), capability(X, T0))) & ((smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & greater(internal_friction(X, T), internal_friction(X, T0))) => smaller(capability(X, T), capability(X, T0)))) & (((stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)) & (internal_friction(X, T) = internal_friction(X, T0))) => (capability(X, T) = capability(X, T0))))) <=> (organization(X) => (((~(greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & smaller_or_equal(internal_friction(X, T), internal_friction(X, T0)))) | greater(capability(X, T), capability(X, T0))) & ((~(smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & greater(internal_friction(X, T), internal_friction(X, T0)))) | smaller(capability(X, T), capability(X, T0))) & ((~((stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)) & (internal_friction(X, T) = internal_friction(X, T0)))) | (capability(X, T) = capability(X, T0))))))), rewrite((organization(X) => (((~(greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & smaller_or_equal(internal_friction(X, T), internal_friction(X, T0)))) | greater(capability(X, T), capability(X, T0))) & ((~(smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & greater(internal_friction(X, T), internal_friction(X, T0)))) | smaller(capability(X, T), capability(X, T0))) & ((~((stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)) & (internal_friction(X, T) = internal_friction(X, T0)))) | (capability(X, T) = capability(X, T0))))) <=> ((~organization(X)) | (((~(greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & smaller_or_equal(internal_friction(X, T), internal_friction(X, T0)))) | greater(capability(X, T), capability(X, T0))) & ((~(smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & greater(internal_friction(X, T), internal_friction(X, T0)))) | smaller(capability(X, T), capability(X, T0))) & ((~((stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)) & (internal_friction(X, T) = internal_friction(X, T0)))) | (capability(X, T) = capability(X, T0)))))), ((organization(X) => ((((greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & smaller_or_equal(internal_friction(X, T), internal_friction(X, T0))) => greater(capability(X, T), capability(X, T0))) & ((smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & greater(internal_friction(X, T), internal_friction(X, T0))) => smaller(capability(X, T), capability(X, T0)))) & (((stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)) & (internal_friction(X, T) = internal_friction(X, T0))) => (capability(X, T) = capability(X, T0))))) <=> ((~organization(X)) | (((~(greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & smaller_or_equal(internal_friction(X, T), internal_friction(X, T0)))) | greater(capability(X, T), capability(X, T0))) & ((~(smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & greater(internal_friction(X, T), internal_friction(X, T0)))) | smaller(capability(X, T), capability(X, T0))) & ((~((stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)) & (internal_friction(X, T) = internal_friction(X, T0)))) | (capability(X, T) = capability(X, T0)))))))),
% 0.19/0.47 inference(bind,[status(th)],[])).
% 0.19/0.47 tff(342,plain,
% 0.19/0.47 (![X: $i, T0: $i, T: $i] : (organization(X) => ((((greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & smaller_or_equal(internal_friction(X, T), internal_friction(X, T0))) => greater(capability(X, T), capability(X, T0))) & ((smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & greater(internal_friction(X, T), internal_friction(X, T0))) => smaller(capability(X, T), capability(X, T0)))) & (((stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)) & (internal_friction(X, T) = internal_friction(X, T0))) => (capability(X, T) = capability(X, T0))))) <=> ![X: $i, T0: $i, T: $i] : ((~organization(X)) | (((~(greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & smaller_or_equal(internal_friction(X, T), internal_friction(X, T0)))) | greater(capability(X, T), capability(X, T0))) & ((~(smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & greater(internal_friction(X, T), internal_friction(X, T0)))) | smaller(capability(X, T), capability(X, T0))) & ((~((stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)) & (internal_friction(X, T) = internal_friction(X, T0)))) | (capability(X, T) = capability(X, T0)))))),
% 0.19/0.47 inference(quant_intro,[status(thm)],[341])).
% 0.19/0.47 tff(343,axiom,(![X: $i, T0: $i, T: $i] : (organization(X) => ((((greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & smaller_or_equal(internal_friction(X, T), internal_friction(X, T0))) => greater(capability(X, T), capability(X, T0))) & ((smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & greater(internal_friction(X, T), internal_friction(X, T0))) => smaller(capability(X, T), capability(X, T0)))) & (((stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)) & (internal_friction(X, T) = internal_friction(X, T0))) => (capability(X, T) = capability(X, T0)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','assumption_5')).
% 0.19/0.47 tff(344,plain,
% 0.19/0.47 (![X: $i, T0: $i, T: $i] : ((~organization(X)) | (((~(greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & smaller_or_equal(internal_friction(X, T), internal_friction(X, T0)))) | greater(capability(X, T), capability(X, T0))) & ((~(smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & greater(internal_friction(X, T), internal_friction(X, T0)))) | smaller(capability(X, T), capability(X, T0))) & ((~((stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)) & (internal_friction(X, T) = internal_friction(X, T0)))) | (capability(X, T) = capability(X, T0)))))),
% 0.19/0.47 inference(modus_ponens,[status(thm)],[343, 342])).
% 0.19/0.47 tff(345,plain,
% 0.19/0.47 (![X: $i, T0: $i, T: $i] : ((~organization(X)) | (((~(greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & smaller_or_equal(internal_friction(X, T), internal_friction(X, T0)))) | greater(capability(X, T), capability(X, T0))) & ((~(smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & greater(internal_friction(X, T), internal_friction(X, T0)))) | smaller(capability(X, T), capability(X, T0))) & ((~((stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)) & (internal_friction(X, T) = internal_friction(X, T0)))) | (capability(X, T) = capability(X, T0)))))),
% 0.19/0.47 inference(modus_ponens,[status(thm)],[344, 340])).
% 0.19/0.47 tff(346,plain,(
% 0.19/0.47 ![X: $i, T0: $i, T: $i] : ((~organization(X)) | (((~(greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & smaller_or_equal(internal_friction(X, T), internal_friction(X, T0)))) | greater(capability(X, T), capability(X, T0))) & ((~(smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & greater(internal_friction(X, T), internal_friction(X, T0)))) | smaller(capability(X, T), capability(X, T0))) & ((~((stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)) & (internal_friction(X, T) = internal_friction(X, T0)))) | (capability(X, T) = capability(X, T0)))))),
% 0.19/0.47 inference(skolemize,[status(sab)],[345])).
% 0.19/0.47 tff(347,plain,
% 0.19/0.47 (![X: $i, T0: $i, T: $i] : ((~organization(X)) | (~((~(greater(capability(X, T), capability(X, T0)) | (~greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))) | (~smaller_or_equal(internal_friction(X, T), internal_friction(X, T0))))) | (~(smaller(capability(X, T), capability(X, T0)) | (~smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))) | (~greater(internal_friction(X, T), internal_friction(X, T0))))) | (~((capability(X, T) = capability(X, T0)) | (~(stock_of_knowledge(X, T) = stock_of_knowledge(X, T0))) | (~(internal_friction(X, T) = internal_friction(X, T0))))))))),
% 0.19/0.47 inference(modus_ponens,[status(thm)],[346, 339])).
% 0.19/0.47 tff(348,plain,
% 0.19/0.47 (![X: $i, T0: $i, T: $i] : ((~organization(X)) | (~((~(greater(capability(X, T), capability(X, T0)) | (~greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))) | (~smaller_or_equal(internal_friction(X, T), internal_friction(X, T0))))) | (~(smaller(capability(X, T), capability(X, T0)) | (~smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))) | (~greater(internal_friction(X, T), internal_friction(X, T0))))) | (~((capability(X, T) = capability(X, T0)) | (~(stock_of_knowledge(X, T) = stock_of_knowledge(X, T0))) | (~(internal_friction(X, T) = internal_friction(X, T0))))))))),
% 0.19/0.47 inference(modus_ponens,[status(thm)],[347, 337])).
% 0.19/0.47 tff(349,plain,
% 0.19/0.47 (((~![X: $i, T0: $i, T: $i] : ((~organization(X)) | (~((~(greater(capability(X, T), capability(X, T0)) | (~greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))) | (~smaller_or_equal(internal_friction(X, T), internal_friction(X, T0))))) | (~(smaller(capability(X, T), capability(X, T0)) | (~smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))) | (~greater(internal_friction(X, T), internal_friction(X, T0))))) | (~((capability(X, T) = capability(X, T0)) | (~(stock_of_knowledge(X, T) = stock_of_knowledge(X, T0))) | (~(internal_friction(X, T) = internal_friction(X, T0))))))))) | ((~organization(X!5)) | (~((~(greater(capability(X!5, T3!1), capability(X!5, T2!2)) | (~greater(stock_of_knowledge(X!5, T3!1), stock_of_knowledge(X!5, T2!2))) | (~smaller_or_equal(internal_friction(X!5, T3!1), internal_friction(X!5, T2!2))))) | (~(smaller(capability(X!5, T3!1), capability(X!5, T2!2)) | (~smaller_or_equal(stock_of_knowledge(X!5, T3!1), stock_of_knowledge(X!5, T2!2))) | (~greater(internal_friction(X!5, T3!1), internal_friction(X!5, T2!2))))) | (~((capability(X!5, T3!1) = capability(X!5, T2!2)) | (~(stock_of_knowledge(X!5, T3!1) = stock_of_knowledge(X!5, T2!2))) | (~(internal_friction(X!5, T3!1) = internal_friction(X!5, T2!2))))))))) <=> ((~![X: $i, T0: $i, T: $i] : ((~organization(X)) | (~((~(greater(capability(X, T), capability(X, T0)) | (~greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))) | (~smaller_or_equal(internal_friction(X, T), internal_friction(X, T0))))) | (~(smaller(capability(X, T), capability(X, T0)) | (~smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))) | (~greater(internal_friction(X, T), internal_friction(X, T0))))) | (~((capability(X, T) = capability(X, T0)) | (~(stock_of_knowledge(X, T) = stock_of_knowledge(X, T0))) | (~(internal_friction(X, T) = internal_friction(X, T0))))))))) | (~organization(X!5)) | (~((~(greater(capability(X!5, T3!1), capability(X!5, T2!2)) | (~greater(stock_of_knowledge(X!5, T3!1), stock_of_knowledge(X!5, T2!2))) | (~smaller_or_equal(internal_friction(X!5, T3!1), internal_friction(X!5, T2!2))))) | (~(smaller(capability(X!5, T3!1), capability(X!5, T2!2)) | (~smaller_or_equal(stock_of_knowledge(X!5, T3!1), stock_of_knowledge(X!5, T2!2))) | (~greater(internal_friction(X!5, T3!1), internal_friction(X!5, T2!2))))) | (~((capability(X!5, T3!1) = capability(X!5, T2!2)) | (~(stock_of_knowledge(X!5, T3!1) = stock_of_knowledge(X!5, T2!2))) | (~(internal_friction(X!5, T3!1) = internal_friction(X!5, T2!2))))))))),
% 0.19/0.47 inference(rewrite,[status(thm)],[])).
% 0.19/0.47 tff(350,plain,
% 0.19/0.47 ((~![X: $i, T0: $i, T: $i] : ((~organization(X)) | (~((~(greater(capability(X, T), capability(X, T0)) | (~greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))) | (~smaller_or_equal(internal_friction(X, T), internal_friction(X, T0))))) | (~(smaller(capability(X, T), capability(X, T0)) | (~smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))) | (~greater(internal_friction(X, T), internal_friction(X, T0))))) | (~((capability(X, T) = capability(X, T0)) | (~(stock_of_knowledge(X, T) = stock_of_knowledge(X, T0))) | (~(internal_friction(X, T) = internal_friction(X, T0))))))))) | ((~organization(X!5)) | (~((~(greater(capability(X!5, T3!1), capability(X!5, T2!2)) | (~greater(stock_of_knowledge(X!5, T3!1), stock_of_knowledge(X!5, T2!2))) | (~smaller_or_equal(internal_friction(X!5, T3!1), internal_friction(X!5, T2!2))))) | (~(smaller(capability(X!5, T3!1), capability(X!5, T2!2)) | (~smaller_or_equal(stock_of_knowledge(X!5, T3!1), stock_of_knowledge(X!5, T2!2))) | (~greater(internal_friction(X!5, T3!1), internal_friction(X!5, T2!2))))) | (~((capability(X!5, T3!1) = capability(X!5, T2!2)) | (~(stock_of_knowledge(X!5, T3!1) = stock_of_knowledge(X!5, T2!2))) | (~(internal_friction(X!5, T3!1) = internal_friction(X!5, T2!2))))))))),
% 0.19/0.47 inference(quant_inst,[status(thm)],[])).
% 0.19/0.47 tff(351,plain,
% 0.19/0.47 ((~![X: $i, T0: $i, T: $i] : ((~organization(X)) | (~((~(greater(capability(X, T), capability(X, T0)) | (~greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))) | (~smaller_or_equal(internal_friction(X, T), internal_friction(X, T0))))) | (~(smaller(capability(X, T), capability(X, T0)) | (~smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))) | (~greater(internal_friction(X, T), internal_friction(X, T0))))) | (~((capability(X, T) = capability(X, T0)) | (~(stock_of_knowledge(X, T) = stock_of_knowledge(X, T0))) | (~(internal_friction(X, T) = internal_friction(X, T0))))))))) | (~organization(X!5)) | (~((~(greater(capability(X!5, T3!1), capability(X!5, T2!2)) | (~greater(stock_of_knowledge(X!5, T3!1), stock_of_knowledge(X!5, T2!2))) | (~smaller_or_equal(internal_friction(X!5, T3!1), internal_friction(X!5, T2!2))))) | (~(smaller(capability(X!5, T3!1), capability(X!5, T2!2)) | (~smaller_or_equal(stock_of_knowledge(X!5, T3!1), stock_of_knowledge(X!5, T2!2))) | (~greater(internal_friction(X!5, T3!1), internal_friction(X!5, T2!2))))) | (~((capability(X!5, T3!1) = capability(X!5, T2!2)) | (~(stock_of_knowledge(X!5, T3!1) = stock_of_knowledge(X!5, T2!2))) | (~(internal_friction(X!5, T3!1) = internal_friction(X!5, T2!2)))))))),
% 0.19/0.47 inference(modus_ponens,[status(thm)],[350, 349])).
% 0.19/0.47 tff(352,plain,
% 0.19/0.47 (~((~(greater(capability(X!5, T3!1), capability(X!5, T2!2)) | (~greater(stock_of_knowledge(X!5, T3!1), stock_of_knowledge(X!5, T2!2))) | (~smaller_or_equal(internal_friction(X!5, T3!1), internal_friction(X!5, T2!2))))) | (~(smaller(capability(X!5, T3!1), capability(X!5, T2!2)) | (~smaller_or_equal(stock_of_knowledge(X!5, T3!1), stock_of_knowledge(X!5, T2!2))) | (~greater(internal_friction(X!5, T3!1), internal_friction(X!5, T2!2))))) | (~((capability(X!5, T3!1) = capability(X!5, T2!2)) | (~(stock_of_knowledge(X!5, T3!1) = stock_of_knowledge(X!5, T2!2))) | (~(internal_friction(X!5, T3!1) = internal_friction(X!5, T2!2))))))),
% 0.19/0.47 inference(unit_resolution,[status(thm)],[351, 348, 13])).
% 0.19/0.47 tff(353,plain,
% 0.19/0.47 (((~(greater(capability(X!5, T3!1), capability(X!5, T2!2)) | (~greater(stock_of_knowledge(X!5, T3!1), stock_of_knowledge(X!5, T2!2))) | (~smaller_or_equal(internal_friction(X!5, T3!1), internal_friction(X!5, T2!2))))) | (~(smaller(capability(X!5, T3!1), capability(X!5, T2!2)) | (~smaller_or_equal(stock_of_knowledge(X!5, T3!1), stock_of_knowledge(X!5, T2!2))) | (~greater(internal_friction(X!5, T3!1), internal_friction(X!5, T2!2))))) | (~((capability(X!5, T3!1) = capability(X!5, T2!2)) | (~(stock_of_knowledge(X!5, T3!1) = stock_of_knowledge(X!5, T2!2))) | (~(internal_friction(X!5, T3!1) = internal_friction(X!5, T2!2)))))) | (smaller(capability(X!5, T3!1), capability(X!5, T2!2)) | (~smaller_or_equal(stock_of_knowledge(X!5, T3!1), stock_of_knowledge(X!5, T2!2))) | (~greater(internal_friction(X!5, T3!1), internal_friction(X!5, T2!2))))),
% 0.19/0.47 inference(tautology,[status(thm)],[])).
% 0.19/0.47 tff(354,plain,
% 0.19/0.47 (smaller(capability(X!5, T3!1), capability(X!5, T2!2)) | (~smaller_or_equal(stock_of_knowledge(X!5, T3!1), stock_of_knowledge(X!5, T2!2))) | (~greater(internal_friction(X!5, T3!1), internal_friction(X!5, T2!2)))),
% 0.19/0.47 inference(unit_resolution,[status(thm)],[353, 352])).
% 0.19/0.47 tff(355,plain,
% 0.19/0.47 (^[X: $i, T0: $i, T: $i] : refl((greater(internal_friction(X, T), internal_friction(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0)))) <=> (greater(internal_friction(X, T), internal_friction(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0)))))),
% 0.19/0.47 inference(bind,[status(th)],[])).
% 0.19/0.47 tff(356,plain,
% 0.19/0.47 (![X: $i, T0: $i, T: $i] : (greater(internal_friction(X, T), internal_friction(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0)))) <=> ![X: $i, T0: $i, T: $i] : (greater(internal_friction(X, T), internal_friction(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0))))),
% 0.19/0.47 inference(quant_intro,[status(thm)],[355])).
% 0.19/0.47 tff(357,plain,
% 0.19/0.47 (^[X: $i, T0: $i, T: $i] : trans(monotonicity(trans(monotonicity(rewrite((organization(X) & greater(age(X, T), age(X, T0))) <=> (~((~organization(X)) | (~greater(age(X, T), age(X, T0)))))), ((~(organization(X) & greater(age(X, T), age(X, T0)))) <=> (~(~((~organization(X)) | (~greater(age(X, T), age(X, T0)))))))), rewrite((~(~((~organization(X)) | (~greater(age(X, T), age(X, T0)))))) <=> ((~organization(X)) | (~greater(age(X, T), age(X, T0))))), ((~(organization(X) & greater(age(X, T), age(X, T0)))) <=> ((~organization(X)) | (~greater(age(X, T), age(X, T0)))))), (((~(organization(X) & greater(age(X, T), age(X, T0)))) | greater(internal_friction(X, T), internal_friction(X, T0))) <=> (((~organization(X)) | (~greater(age(X, T), age(X, T0)))) | greater(internal_friction(X, T), internal_friction(X, T0))))), rewrite((((~organization(X)) | (~greater(age(X, T), age(X, T0)))) | greater(internal_friction(X, T), internal_friction(X, T0))) <=> (greater(internal_friction(X, T), internal_friction(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0))))), (((~(organization(X) & greater(age(X, T), age(X, T0)))) | greater(internal_friction(X, T), internal_friction(X, T0))) <=> (greater(internal_friction(X, T), internal_friction(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0))))))),
% 0.19/0.47 inference(bind,[status(th)],[])).
% 0.19/0.47 tff(358,plain,
% 0.19/0.47 (![X: $i, T0: $i, T: $i] : ((~(organization(X) & greater(age(X, T), age(X, T0)))) | greater(internal_friction(X, T), internal_friction(X, T0))) <=> ![X: $i, T0: $i, T: $i] : (greater(internal_friction(X, T), internal_friction(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0))))),
% 0.19/0.47 inference(quant_intro,[status(thm)],[357])).
% 0.19/0.47 tff(359,plain,
% 0.19/0.47 (![X: $i, T0: $i, T: $i] : ((~(organization(X) & greater(age(X, T), age(X, T0)))) | greater(internal_friction(X, T), internal_friction(X, T0))) <=> ![X: $i, T0: $i, T: $i] : ((~(organization(X) & greater(age(X, T), age(X, T0)))) | greater(internal_friction(X, T), internal_friction(X, T0)))),
% 0.19/0.47 inference(rewrite,[status(thm)],[])).
% 0.19/0.47 tff(360,plain,
% 0.19/0.47 (^[X: $i, T0: $i, T: $i] : rewrite(((organization(X) & greater(age(X, T), age(X, T0))) => greater(internal_friction(X, T), internal_friction(X, T0))) <=> ((~(organization(X) & greater(age(X, T), age(X, T0)))) | greater(internal_friction(X, T), internal_friction(X, T0))))),
% 0.19/0.47 inference(bind,[status(th)],[])).
% 0.19/0.47 tff(361,plain,
% 0.19/0.47 (![X: $i, T0: $i, T: $i] : ((organization(X) & greater(age(X, T), age(X, T0))) => greater(internal_friction(X, T), internal_friction(X, T0))) <=> ![X: $i, T0: $i, T: $i] : ((~(organization(X) & greater(age(X, T), age(X, T0)))) | greater(internal_friction(X, T), internal_friction(X, T0)))),
% 0.19/0.47 inference(quant_intro,[status(thm)],[360])).
% 0.19/0.47 tff(362,axiom,(![X: $i, T0: $i, T: $i] : ((organization(X) & greater(age(X, T), age(X, T0))) => greater(internal_friction(X, T), internal_friction(X, T0)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','assumption_12')).
% 0.19/0.47 tff(363,plain,
% 0.19/0.47 (![X: $i, T0: $i, T: $i] : ((~(organization(X) & greater(age(X, T), age(X, T0)))) | greater(internal_friction(X, T), internal_friction(X, T0)))),
% 0.19/0.47 inference(modus_ponens,[status(thm)],[362, 361])).
% 0.19/0.47 tff(364,plain,
% 0.19/0.47 (![X: $i, T0: $i, T: $i] : ((~(organization(X) & greater(age(X, T), age(X, T0)))) | greater(internal_friction(X, T), internal_friction(X, T0)))),
% 0.19/0.47 inference(modus_ponens,[status(thm)],[363, 359])).
% 0.19/0.47 tff(365,plain,(
% 0.19/0.47 ![X: $i, T0: $i, T: $i] : ((~(organization(X) & greater(age(X, T), age(X, T0)))) | greater(internal_friction(X, T), internal_friction(X, T0)))),
% 0.19/0.47 inference(skolemize,[status(sab)],[364])).
% 0.19/0.47 tff(366,plain,
% 0.19/0.47 (![X: $i, T0: $i, T: $i] : (greater(internal_friction(X, T), internal_friction(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0))))),
% 0.19/0.47 inference(modus_ponens,[status(thm)],[365, 358])).
% 0.19/0.47 tff(367,plain,
% 0.19/0.47 (![X: $i, T0: $i, T: $i] : (greater(internal_friction(X, T), internal_friction(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0))))),
% 0.19/0.47 inference(modus_ponens,[status(thm)],[366, 356])).
% 0.19/0.47 tff(368,plain,
% 0.19/0.47 (((~![X: $i, T0: $i, T: $i] : (greater(internal_friction(X, T), internal_friction(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0))))) | (greater(internal_friction(X!5, T3!1), internal_friction(X!5, T2!2)) | (~organization(X!5)) | (~greater(age(X!5, T3!1), age(X!5, T2!2))))) <=> ((~![X: $i, T0: $i, T: $i] : (greater(internal_friction(X, T), internal_friction(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0))))) | greater(internal_friction(X!5, T3!1), internal_friction(X!5, T2!2)) | (~organization(X!5)) | (~greater(age(X!5, T3!1), age(X!5, T2!2))))),
% 0.19/0.47 inference(rewrite,[status(thm)],[])).
% 0.19/0.47 tff(369,plain,
% 0.19/0.47 ((~![X: $i, T0: $i, T: $i] : (greater(internal_friction(X, T), internal_friction(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0))))) | (greater(internal_friction(X!5, T3!1), internal_friction(X!5, T2!2)) | (~organization(X!5)) | (~greater(age(X!5, T3!1), age(X!5, T2!2))))),
% 0.19/0.47 inference(quant_inst,[status(thm)],[])).
% 0.19/0.47 tff(370,plain,
% 0.19/0.47 ((~![X: $i, T0: $i, T: $i] : (greater(internal_friction(X, T), internal_friction(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0))))) | greater(internal_friction(X!5, T3!1), internal_friction(X!5, T2!2)) | (~organization(X!5)) | (~greater(age(X!5, T3!1), age(X!5, T2!2)))),
% 0.19/0.47 inference(modus_ponens,[status(thm)],[369, 368])).
% 0.19/0.47 tff(371,plain,
% 0.19/0.47 (greater(internal_friction(X!5, T3!1), internal_friction(X!5, T2!2))),
% 0.19/0.47 inference(unit_resolution,[status(thm)],[370, 367, 13, 131])).
% 0.19/0.47 tff(372,plain,
% 0.19/0.47 ((~(smaller(capability(X!5, T3!1), capability(X!5, T2!2)) | (~smaller_or_equal(stock_of_knowledge(X!5, T3!1), stock_of_knowledge(X!5, T2!2))) | (~greater(internal_friction(X!5, T3!1), internal_friction(X!5, T2!2))))) | smaller(capability(X!5, T3!1), capability(X!5, T2!2)) | (~smaller_or_equal(stock_of_knowledge(X!5, T3!1), stock_of_knowledge(X!5, T2!2))) | (~greater(internal_friction(X!5, T3!1), internal_friction(X!5, T2!2)))),
% 0.19/0.47 inference(tautology,[status(thm)],[])).
% 0.19/0.47 tff(373,plain,
% 0.19/0.47 ((~(smaller(capability(X!5, T3!1), capability(X!5, T2!2)) | (~smaller_or_equal(stock_of_knowledge(X!5, T3!1), stock_of_knowledge(X!5, T2!2))) | (~greater(internal_friction(X!5, T3!1), internal_friction(X!5, T2!2))))) | smaller(capability(X!5, T3!1), capability(X!5, T2!2)) | (~smaller_or_equal(stock_of_knowledge(X!5, T3!1), stock_of_knowledge(X!5, T2!2)))),
% 0.19/0.47 inference(unit_resolution,[status(thm)],[372, 371])).
% 0.19/0.47 tff(374,plain,
% 0.19/0.47 (smaller(capability(X!5, T3!1), capability(X!5, T2!2)) | (~smaller_or_equal(stock_of_knowledge(X!5, T3!1), stock_of_knowledge(X!5, T2!2)))),
% 0.19/0.47 inference(unit_resolution,[status(thm)],[373, 354])).
% 0.19/0.47 tff(375,plain,
% 0.19/0.47 (~smaller_or_equal(stock_of_knowledge(X!5, T3!1), stock_of_knowledge(X!5, T2!2))),
% 0.19/0.47 inference(unit_resolution,[status(thm)],[374, 335])).
% 0.19/0.47 tff(376,plain,
% 0.19/0.47 (~smaller_or_equal(stock_of_knowledge(X!5, T2!2), stock_of_knowledge(X!5, T2!2))),
% 0.19/0.47 inference(modus_ponens,[status(thm)],[375, 31])).
% 0.19/0.47 tff(377,plain,
% 0.19/0.47 (((~![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))) | smaller_or_equal(stock_of_knowledge(X!5, T2!2), stock_of_knowledge(X!5, T2!2))) <=> ((~![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))) | smaller_or_equal(stock_of_knowledge(X!5, T2!2), stock_of_knowledge(X!5, T2!2)))),
% 0.19/0.47 inference(rewrite,[status(thm)],[])).
% 0.19/0.47 tff(378,plain,
% 0.19/0.47 ((smaller_or_equal(stock_of_knowledge(X!5, T2!2), stock_of_knowledge(X!5, T2!2)) <=> $true) <=> smaller_or_equal(stock_of_knowledge(X!5, T2!2), stock_of_knowledge(X!5, T2!2))),
% 0.19/0.47 inference(rewrite,[status(thm)],[])).
% 0.19/0.47 tff(379,plain,
% 0.19/0.47 (($true | smaller(stock_of_knowledge(X!5, T2!2), stock_of_knowledge(X!5, T2!2))) <=> $true),
% 0.19/0.47 inference(rewrite,[status(thm)],[])).
% 0.19/0.47 tff(380,plain,
% 0.19/0.47 ((stock_of_knowledge(X!5, T2!2) = stock_of_knowledge(X!5, T2!2)) <=> $true),
% 0.19/0.47 inference(rewrite,[status(thm)],[])).
% 0.19/0.47 tff(381,plain,
% 0.19/0.47 (((stock_of_knowledge(X!5, T2!2) = stock_of_knowledge(X!5, T2!2)) | smaller(stock_of_knowledge(X!5, T2!2), stock_of_knowledge(X!5, T2!2))) <=> ($true | smaller(stock_of_knowledge(X!5, T2!2), stock_of_knowledge(X!5, T2!2)))),
% 0.19/0.47 inference(monotonicity,[status(thm)],[380])).
% 0.19/0.47 tff(382,plain,
% 0.19/0.47 (((stock_of_knowledge(X!5, T2!2) = stock_of_knowledge(X!5, T2!2)) | smaller(stock_of_knowledge(X!5, T2!2), stock_of_knowledge(X!5, T2!2))) <=> $true),
% 0.19/0.47 inference(transitivity,[status(thm)],[381, 379])).
% 0.19/0.47 tff(383,plain,
% 0.19/0.47 ((smaller_or_equal(stock_of_knowledge(X!5, T2!2), stock_of_knowledge(X!5, T2!2)) <=> ((stock_of_knowledge(X!5, T2!2) = stock_of_knowledge(X!5, T2!2)) | smaller(stock_of_knowledge(X!5, T2!2), stock_of_knowledge(X!5, T2!2)))) <=> (smaller_or_equal(stock_of_knowledge(X!5, T2!2), stock_of_knowledge(X!5, T2!2)) <=> $true)),
% 0.19/0.47 inference(monotonicity,[status(thm)],[382])).
% 0.19/0.47 tff(384,plain,
% 0.19/0.47 ((smaller_or_equal(stock_of_knowledge(X!5, T2!2), stock_of_knowledge(X!5, T2!2)) <=> ((stock_of_knowledge(X!5, T2!2) = stock_of_knowledge(X!5, T2!2)) | smaller(stock_of_knowledge(X!5, T2!2), stock_of_knowledge(X!5, T2!2)))) <=> smaller_or_equal(stock_of_knowledge(X!5, T2!2), stock_of_knowledge(X!5, T2!2))),
% 0.19/0.48 inference(transitivity,[status(thm)],[383, 378])).
% 0.19/0.48 tff(385,plain,
% 0.19/0.48 (((~![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))) | (smaller_or_equal(stock_of_knowledge(X!5, T2!2), stock_of_knowledge(X!5, T2!2)) <=> ((stock_of_knowledge(X!5, T2!2) = stock_of_knowledge(X!5, T2!2)) | smaller(stock_of_knowledge(X!5, T2!2), stock_of_knowledge(X!5, T2!2))))) <=> ((~![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))) | smaller_or_equal(stock_of_knowledge(X!5, T2!2), stock_of_knowledge(X!5, T2!2)))),
% 0.19/0.48 inference(monotonicity,[status(thm)],[384])).
% 0.19/0.48 tff(386,plain,
% 0.19/0.48 (((~![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))) | (smaller_or_equal(stock_of_knowledge(X!5, T2!2), stock_of_knowledge(X!5, T2!2)) <=> ((stock_of_knowledge(X!5, T2!2) = stock_of_knowledge(X!5, T2!2)) | smaller(stock_of_knowledge(X!5, T2!2), stock_of_knowledge(X!5, T2!2))))) <=> ((~![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))) | smaller_or_equal(stock_of_knowledge(X!5, T2!2), stock_of_knowledge(X!5, T2!2)))),
% 0.19/0.48 inference(transitivity,[status(thm)],[385, 377])).
% 0.19/0.48 tff(387,plain,
% 0.19/0.48 ((~![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))) | (smaller_or_equal(stock_of_knowledge(X!5, T2!2), stock_of_knowledge(X!5, T2!2)) <=> ((stock_of_knowledge(X!5, T2!2) = stock_of_knowledge(X!5, T2!2)) | smaller(stock_of_knowledge(X!5, T2!2), stock_of_knowledge(X!5, T2!2))))),
% 0.19/0.48 inference(quant_inst,[status(thm)],[])).
% 0.19/0.48 tff(388,plain,
% 0.19/0.48 ((~![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))) | smaller_or_equal(stock_of_knowledge(X!5, T2!2), stock_of_knowledge(X!5, T2!2))),
% 0.19/0.48 inference(modus_ponens,[status(thm)],[387, 386])).
% 0.19/0.48 tff(389,plain,
% 0.19/0.48 (smaller_or_equal(stock_of_knowledge(X!5, T2!2), stock_of_knowledge(X!5, T2!2))),
% 0.19/0.48 inference(unit_resolution,[status(thm)],[388, 238])).
% 0.19/0.48 tff(390,plain,
% 0.19/0.48 ($false),
% 0.19/0.48 inference(unit_resolution,[status(thm)],[389, 376])).
% 0.19/0.48 % SZS output end Proof
%------------------------------------------------------------------------------