TSTP Solution File: MGT055+1 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : MGT055+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n005.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 05:22:16 EDT 2022
% Result : Theorem 0.48s 0.57s
% Output : Proof 0.60s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : MGT055+1 : TPTP v8.1.0. Released v2.4.0.
% 0.06/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.34 % Computer : n005.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Sep 2 02:56:03 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.35 Usage: tptp [options] [-file:]file
% 0.13/0.35 -h, -? prints this message.
% 0.13/0.35 -smt2 print SMT-LIB2 benchmark.
% 0.13/0.35 -m, -model generate model.
% 0.13/0.35 -p, -proof generate proof.
% 0.13/0.35 -c, -core generate unsat core of named formulas.
% 0.13/0.35 -st, -statistics display statistics.
% 0.13/0.35 -t:timeout set timeout (in second).
% 0.13/0.35 -smt2status display status in smt2 format instead of SZS.
% 0.13/0.35 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.35 -<param>:<value> configuration parameter and value.
% 0.13/0.35 -o:<output-file> file to place output in.
% 0.48/0.57 % SZS status Theorem
% 0.48/0.57 % SZS output start Proof
% 0.48/0.57 tff(greater_type, type, (
% 0.48/0.57 greater: ( $i * $i ) > $o)).
% 0.48/0.57 tff(age_type, type, (
% 0.48/0.57 age: ( $i * $i ) > $i)).
% 0.48/0.57 tff(tptp_fun_T2_2_type, type, (
% 0.48/0.57 tptp_fun_T2_2: $i)).
% 0.48/0.57 tff(tptp_fun_X_5_type, type, (
% 0.48/0.57 tptp_fun_X_5: $i)).
% 0.48/0.57 tff(sigma_type, type, (
% 0.48/0.57 sigma: $i)).
% 0.48/0.57 tff(smaller_type, type, (
% 0.48/0.57 smaller: ( $i * $i ) > $o)).
% 0.48/0.57 tff(dissimilar_type, type, (
% 0.48/0.57 dissimilar: ( $i * $i * $i ) > $o)).
% 0.48/0.57 tff(tptp_fun_T0_4_type, type, (
% 0.48/0.57 tptp_fun_T0_4: $i)).
% 0.48/0.57 tff(zero_type, type, (
% 0.48/0.57 zero: $i)).
% 0.48/0.57 tff(eta_type, type, (
% 0.48/0.57 eta: $i)).
% 0.48/0.57 tff(tptp_fun_T3_1_type, type, (
% 0.48/0.57 tptp_fun_T3_1: $i)).
% 0.48/0.57 tff(smaller_or_equal_type, type, (
% 0.48/0.57 smaller_or_equal: ( $i * $i ) > $o)).
% 0.48/0.57 tff(tptp_fun_T1_3_type, type, (
% 0.48/0.57 tptp_fun_T1_3: $i)).
% 0.48/0.57 tff(has_endowment_type, type, (
% 0.48/0.57 has_endowment: $i > $o)).
% 0.48/0.57 tff(organization_type, type, (
% 0.48/0.57 organization: $i > $o)).
% 0.48/0.57 tff(hazard_of_mortality_type, type, (
% 0.48/0.57 hazard_of_mortality: ( $i * $i ) > $i)).
% 0.48/0.57 tff(is_aligned_type, type, (
% 0.48/0.57 is_aligned: ( $i * $i ) > $o)).
% 0.48/0.57 tff(capability_type, type, (
% 0.48/0.57 capability: ( $i * $i ) > $i)).
% 0.48/0.57 tff(has_immunity_type, type, (
% 0.48/0.57 has_immunity: ( $i * $i ) > $o)).
% 0.48/0.57 tff(tptp_fun_T_0_type, type, (
% 0.48/0.57 tptp_fun_T_0: $i > $i)).
% 0.48/0.57 tff(1,plain,
% 0.48/0.57 (^[X: $i, Y: $i] : refl((smaller(X, Y) <=> greater(Y, X)) <=> (smaller(X, Y) <=> greater(Y, X)))),
% 0.48/0.57 inference(bind,[status(th)],[])).
% 0.48/0.57 tff(2,plain,
% 0.48/0.57 (![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X)) <=> ![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))),
% 0.48/0.57 inference(quant_intro,[status(thm)],[1])).
% 0.48/0.57 tff(3,plain,
% 0.48/0.57 (![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X)) <=> ![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))),
% 0.48/0.57 inference(rewrite,[status(thm)],[])).
% 0.48/0.57 tff(4,axiom,(![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))), file('/export/starexec/sandbox/benchmark/Axioms/MGT001+0.ax','definition_smaller')).
% 0.48/0.57 tff(5,plain,
% 0.48/0.57 (![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))),
% 0.48/0.57 inference(modus_ponens,[status(thm)],[4, 3])).
% 0.48/0.57 tff(6,plain,(
% 0.48/0.57 ![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))),
% 0.48/0.57 inference(skolemize,[status(sab)],[5])).
% 0.48/0.57 tff(7,plain,
% 0.48/0.57 (![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))),
% 0.48/0.57 inference(modus_ponens,[status(thm)],[6, 2])).
% 0.48/0.57 tff(8,plain,
% 0.48/0.57 ((~![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))) | (smaller(age(X!5, T2!2), sigma) <=> greater(sigma, age(X!5, T2!2)))),
% 0.48/0.57 inference(quant_inst,[status(thm)],[])).
% 0.48/0.57 tff(9,plain,
% 0.48/0.57 (smaller(age(X!5, T2!2), sigma) <=> greater(sigma, age(X!5, T2!2))),
% 0.48/0.57 inference(unit_resolution,[status(thm)],[8, 7])).
% 0.48/0.57 tff(10,plain,
% 0.48/0.57 ((~![X: $i, T0: $i, T1: $i, T2: $i, T3: $i] : ((~(organization(X) & has_endowment(X) & (age(X, T0) = zero) & smaller_or_equal(age(X, T1), eta) & greater(age(X, T2), eta) & smaller_or_equal(age(X, T2), sigma) & greater(age(X, T3), sigma) & greater(sigma, eta) & greater(eta, zero))) | (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) & (age(X, T0) = zero) & smaller_or_equal(age(X, T1), eta) & greater(age(X, T2), eta) & smaller_or_equal(age(X, T2), sigma) & greater(age(X, T3), sigma) & greater(sigma, eta) & greater(eta, zero))) | (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)))))),
% 0.48/0.57 inference(rewrite,[status(thm)],[])).
% 0.48/0.57 tff(11,plain,
% 0.48/0.57 ((~![X: $i, T0: $i, T1: $i, T2: $i, T3: $i] : (((((((((organization(X) & has_endowment(X)) & (age(X, T0) = zero)) & smaller_or_equal(age(X, T1), eta)) & greater(age(X, T2), eta)) & smaller_or_equal(age(X, T2), sigma)) & greater(age(X, T3), sigma)) & greater(sigma, eta)) & greater(eta, zero)) => ((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) & (age(X, T0) = zero) & smaller_or_equal(age(X, T1), eta) & greater(age(X, T2), eta) & smaller_or_equal(age(X, T2), sigma) & greater(age(X, T3), sigma) & greater(sigma, eta) & greater(eta, zero))) | (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)))))),
% 0.48/0.57 inference(rewrite,[status(thm)],[])).
% 0.48/0.57 tff(12,axiom,(~![X: $i, T0: $i, T1: $i, T2: $i, T3: $i] : (((((((((organization(X) & has_endowment(X)) & (age(X, T0) = zero)) & smaller_or_equal(age(X, T1), eta)) & greater(age(X, T2), eta)) & smaller_or_equal(age(X, T2), sigma)) & greater(age(X, T3), sigma)) & greater(sigma, eta)) & greater(eta, zero)) => ((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/sandbox/benchmark/theBenchmark.p','lemma_8')).
% 0.48/0.57 tff(13,plain,
% 0.48/0.57 (~![X: $i, T0: $i, T1: $i, T2: $i, T3: $i] : ((~(organization(X) & has_endowment(X) & (age(X, T0) = zero) & smaller_or_equal(age(X, T1), eta) & greater(age(X, T2), eta) & smaller_or_equal(age(X, T2), sigma) & greater(age(X, T3), sigma) & greater(sigma, eta) & greater(eta, zero))) | (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))))),
% 0.48/0.57 inference(modus_ponens,[status(thm)],[12, 11])).
% 0.48/0.57 tff(14,plain,
% 0.48/0.57 (~![X: $i, T0: $i, T1: $i, T2: $i, T3: $i] : ((~(organization(X) & has_endowment(X) & (age(X, T0) = zero) & smaller_or_equal(age(X, T1), eta) & greater(age(X, T2), eta) & smaller_or_equal(age(X, T2), sigma) & greater(age(X, T3), sigma) & greater(sigma, eta) & greater(eta, zero))) | (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))))),
% 0.48/0.57 inference(modus_ponens,[status(thm)],[13, 10])).
% 0.48/0.57 tff(15,plain,
% 0.48/0.57 (~![X: $i, T0: $i, T1: $i, T2: $i, T3: $i] : ((~(organization(X) & has_endowment(X) & (age(X, T0) = zero) & smaller_or_equal(age(X, T1), eta) & greater(age(X, T2), eta) & smaller_or_equal(age(X, T2), sigma) & greater(age(X, T3), sigma) & greater(sigma, eta) & greater(eta, zero))) | (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))))),
% 0.48/0.57 inference(modus_ponens,[status(thm)],[14, 10])).
% 0.48/0.57 tff(16,plain,
% 0.48/0.57 (~![X: $i, T0: $i, T1: $i, T2: $i, T3: $i] : ((~(organization(X) & has_endowment(X) & (age(X, T0) = zero) & smaller_or_equal(age(X, T1), eta) & greater(age(X, T2), eta) & smaller_or_equal(age(X, T2), sigma) & greater(age(X, T3), sigma) & greater(sigma, eta) & greater(eta, zero))) | (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))))),
% 0.48/0.57 inference(modus_ponens,[status(thm)],[15, 10])).
% 0.48/0.57 tff(17,plain,
% 0.48/0.57 (~![X: $i, T0: $i, T1: $i, T2: $i, T3: $i] : ((~(organization(X) & has_endowment(X) & (age(X, T0) = zero) & smaller_or_equal(age(X, T1), eta) & greater(age(X, T2), eta) & smaller_or_equal(age(X, T2), sigma) & greater(age(X, T3), sigma) & greater(sigma, eta) & greater(eta, zero))) | (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))))),
% 0.48/0.57 inference(modus_ponens,[status(thm)],[16, 10])).
% 0.48/0.57 tff(18,plain,
% 0.48/0.57 (~![X: $i, T0: $i, T1: $i, T2: $i, T3: $i] : ((~(organization(X) & has_endowment(X) & (age(X, T0) = zero) & smaller_or_equal(age(X, T1), eta) & greater(age(X, T2), eta) & smaller_or_equal(age(X, T2), sigma) & greater(age(X, T3), sigma) & greater(sigma, eta) & greater(eta, zero))) | (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))))),
% 0.48/0.57 inference(modus_ponens,[status(thm)],[17, 10])).
% 0.48/0.57 tff(19,plain,
% 0.48/0.57 (~![X: $i, T0: $i, T1: $i, T2: $i, T3: $i] : ((~(organization(X) & has_endowment(X) & (age(X, T0) = zero) & smaller_or_equal(age(X, T1), eta) & greater(age(X, T2), eta) & smaller_or_equal(age(X, T2), sigma) & greater(age(X, T3), sigma) & greater(sigma, eta) & greater(eta, zero))) | (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))))),
% 0.48/0.57 inference(modus_ponens,[status(thm)],[18, 10])).
% 0.48/0.57 tff(20,plain,(
% 0.48/0.57 ~((~(organization(X!5) & has_endowment(X!5) & (age(X!5, T0!4) = zero) & smaller_or_equal(age(X!5, T1!3), eta) & greater(age(X!5, T2!2), eta) & smaller_or_equal(age(X!5, T2!2), sigma) & greater(age(X!5, T3!1), sigma) & greater(sigma, eta) & greater(eta, zero))) | (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))))),
% 0.48/0.57 inference(skolemize,[status(sab)],[19])).
% 0.48/0.57 tff(21,plain,
% 0.48/0.57 (organization(X!5) & has_endowment(X!5) & (age(X!5, T0!4) = zero) & smaller_or_equal(age(X!5, T1!3), eta) & greater(age(X!5, T2!2), eta) & smaller_or_equal(age(X!5, T2!2), sigma) & greater(age(X!5, T3!1), sigma) & greater(sigma, eta) & greater(eta, zero)),
% 0.48/0.57 inference(or_elim,[status(thm)],[20])).
% 0.48/0.57 tff(22,plain,
% 0.48/0.57 (age(X!5, T0!4) = zero),
% 0.48/0.57 inference(and_elim,[status(thm)],[21])).
% 0.48/0.57 tff(23,plain,
% 0.48/0.57 (organization(X!5)),
% 0.48/0.57 inference(and_elim,[status(thm)],[21])).
% 0.48/0.57 tff(24,plain,
% 0.48/0.57 (^[X: $i, T0: $i, T: $i] : refl(((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero))) <=> ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero))))),
% 0.48/0.57 inference(bind,[status(th)],[])).
% 0.48/0.57 tff(25,plain,
% 0.48/0.57 (![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero))) <=> ![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))),
% 0.48/0.57 inference(quant_intro,[status(thm)],[24])).
% 0.48/0.57 tff(26,plain,
% 0.48/0.57 (^[X: $i, T0: $i, T: $i] : trans(monotonicity(trans(monotonicity(rewrite((organization(X) & (age(X, T0) = zero)) <=> (~((~organization(X)) | (~(age(X, T0) = zero))))), ((~(organization(X) & (age(X, T0) = zero))) <=> (~(~((~organization(X)) | (~(age(X, T0) = zero))))))), rewrite((~(~((~organization(X)) | (~(age(X, T0) = zero))))) <=> ((~organization(X)) | (~(age(X, T0) = zero)))), ((~(organization(X) & (age(X, T0) = zero))) <=> ((~organization(X)) | (~(age(X, T0) = zero))))), (((~(organization(X) & (age(X, T0) = zero))) | (greater(age(X, T), sigma) <=> dissimilar(X, T0, T))) <=> (((~organization(X)) | (~(age(X, T0) = zero))) | (greater(age(X, T), sigma) <=> dissimilar(X, T0, T))))), rewrite((((~organization(X)) | (~(age(X, T0) = zero))) | (greater(age(X, T), sigma) <=> dissimilar(X, T0, T))) <=> ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))), (((~(organization(X) & (age(X, T0) = zero))) | (greater(age(X, T), sigma) <=> dissimilar(X, T0, T))) <=> ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))))),
% 0.48/0.57 inference(bind,[status(th)],[])).
% 0.48/0.57 tff(27,plain,
% 0.48/0.57 (![X: $i, T0: $i, T: $i] : ((~(organization(X) & (age(X, T0) = zero))) | (greater(age(X, T), sigma) <=> dissimilar(X, T0, T))) <=> ![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))),
% 0.48/0.57 inference(quant_intro,[status(thm)],[26])).
% 0.48/0.57 tff(28,plain,
% 0.48/0.57 (![X: $i, T0: $i, T: $i] : ((~(organization(X) & (age(X, T0) = zero))) | (greater(age(X, T), sigma) <=> dissimilar(X, T0, T))) <=> ![X: $i, T0: $i, T: $i] : ((~(organization(X) & (age(X, T0) = zero))) | (greater(age(X, T), sigma) <=> dissimilar(X, T0, T)))),
% 0.48/0.58 inference(rewrite,[status(thm)],[])).
% 0.48/0.58 tff(29,plain,
% 0.48/0.58 (^[X: $i, T0: $i, T: $i] : rewrite(((organization(X) & (age(X, T0) = zero)) => (greater(age(X, T), sigma) <=> dissimilar(X, T0, T))) <=> ((~(organization(X) & (age(X, T0) = zero))) | (greater(age(X, T), sigma) <=> dissimilar(X, T0, T))))),
% 0.48/0.58 inference(bind,[status(th)],[])).
% 0.48/0.58 tff(30,plain,
% 0.48/0.58 (![X: $i, T0: $i, T: $i] : ((organization(X) & (age(X, T0) = zero)) => (greater(age(X, T), sigma) <=> dissimilar(X, T0, T))) <=> ![X: $i, T0: $i, T: $i] : ((~(organization(X) & (age(X, T0) = zero))) | (greater(age(X, T), sigma) <=> dissimilar(X, T0, T)))),
% 0.48/0.58 inference(quant_intro,[status(thm)],[29])).
% 0.48/0.58 tff(31,axiom,(![X: $i, T0: $i, T: $i] : ((organization(X) & (age(X, T0) = zero)) => (greater(age(X, T), sigma) <=> dissimilar(X, T0, T)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','assumption_15')).
% 0.48/0.58 tff(32,plain,
% 0.48/0.58 (![X: $i, T0: $i, T: $i] : ((~(organization(X) & (age(X, T0) = zero))) | (greater(age(X, T), sigma) <=> dissimilar(X, T0, T)))),
% 0.48/0.58 inference(modus_ponens,[status(thm)],[31, 30])).
% 0.48/0.58 tff(33,plain,
% 0.48/0.58 (![X: $i, T0: $i, T: $i] : ((~(organization(X) & (age(X, T0) = zero))) | (greater(age(X, T), sigma) <=> dissimilar(X, T0, T)))),
% 0.48/0.58 inference(modus_ponens,[status(thm)],[32, 28])).
% 0.48/0.58 tff(34,plain,(
% 0.48/0.58 ![X: $i, T0: $i, T: $i] : ((~(organization(X) & (age(X, T0) = zero))) | (greater(age(X, T), sigma) <=> dissimilar(X, T0, T)))),
% 0.48/0.58 inference(skolemize,[status(sab)],[33])).
% 0.48/0.58 tff(35,plain,
% 0.48/0.58 (![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))),
% 0.48/0.58 inference(modus_ponens,[status(thm)],[34, 27])).
% 0.48/0.58 tff(36,plain,
% 0.48/0.58 (![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))),
% 0.48/0.58 inference(modus_ponens,[status(thm)],[35, 25])).
% 0.48/0.58 tff(37,plain,
% 0.48/0.58 (((~![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))) | ((~organization(X!5)) | (~(age(X!5, T0!4) = zero)) | (greater(age(X!5, T2!2), sigma) <=> dissimilar(X!5, T0!4, T2!2)))) <=> ((~![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))) | (~organization(X!5)) | (~(age(X!5, T0!4) = zero)) | (greater(age(X!5, T2!2), sigma) <=> dissimilar(X!5, T0!4, T2!2)))),
% 0.48/0.58 inference(rewrite,[status(thm)],[])).
% 0.48/0.58 tff(38,plain,
% 0.48/0.58 (((greater(age(X!5, T2!2), sigma) <=> dissimilar(X!5, T0!4, T2!2)) | (~organization(X!5)) | (~(age(X!5, T0!4) = zero))) <=> ((~organization(X!5)) | (~(age(X!5, T0!4) = zero)) | (greater(age(X!5, T2!2), sigma) <=> dissimilar(X!5, T0!4, T2!2)))),
% 0.48/0.58 inference(rewrite,[status(thm)],[])).
% 0.48/0.58 tff(39,plain,
% 0.48/0.58 (((~![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))) | ((greater(age(X!5, T2!2), sigma) <=> dissimilar(X!5, T0!4, T2!2)) | (~organization(X!5)) | (~(age(X!5, T0!4) = zero)))) <=> ((~![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))) | ((~organization(X!5)) | (~(age(X!5, T0!4) = zero)) | (greater(age(X!5, T2!2), sigma) <=> dissimilar(X!5, T0!4, T2!2))))),
% 0.48/0.58 inference(monotonicity,[status(thm)],[38])).
% 0.48/0.58 tff(40,plain,
% 0.48/0.58 (((~![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))) | ((greater(age(X!5, T2!2), sigma) <=> dissimilar(X!5, T0!4, T2!2)) | (~organization(X!5)) | (~(age(X!5, T0!4) = zero)))) <=> ((~![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))) | (~organization(X!5)) | (~(age(X!5, T0!4) = zero)) | (greater(age(X!5, T2!2), sigma) <=> dissimilar(X!5, T0!4, T2!2)))),
% 0.48/0.58 inference(transitivity,[status(thm)],[39, 37])).
% 0.48/0.58 tff(41,plain,
% 0.48/0.58 ((~![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))) | ((greater(age(X!5, T2!2), sigma) <=> dissimilar(X!5, T0!4, T2!2)) | (~organization(X!5)) | (~(age(X!5, T0!4) = zero)))),
% 0.48/0.58 inference(quant_inst,[status(thm)],[])).
% 0.48/0.58 tff(42,plain,
% 0.48/0.58 ((~![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))) | (~organization(X!5)) | (~(age(X!5, T0!4) = zero)) | (greater(age(X!5, T2!2), sigma) <=> dissimilar(X!5, T0!4, T2!2))),
% 0.48/0.58 inference(modus_ponens,[status(thm)],[41, 40])).
% 0.48/0.58 tff(43,plain,
% 0.48/0.58 (greater(age(X!5, T2!2), sigma) <=> dissimilar(X!5, T0!4, T2!2)),
% 0.48/0.58 inference(unit_resolution,[status(thm)],[42, 36, 23, 22])).
% 0.48/0.58 tff(44,plain,
% 0.48/0.58 (^[X: $i, T0: $i, T: $i] : refl((dissimilar(X, T0, T) <=> (~((~organization(X)) | (is_aligned(X, T0) <=> is_aligned(X, T))))) <=> (dissimilar(X, T0, T) <=> (~((~organization(X)) | (is_aligned(X, T0) <=> is_aligned(X, T))))))),
% 0.48/0.58 inference(bind,[status(th)],[])).
% 0.48/0.58 tff(45,plain,
% 0.48/0.58 (![X: $i, T0: $i, T: $i] : (dissimilar(X, T0, T) <=> (~((~organization(X)) | (is_aligned(X, T0) <=> is_aligned(X, T))))) <=> ![X: $i, T0: $i, T: $i] : (dissimilar(X, T0, T) <=> (~((~organization(X)) | (is_aligned(X, T0) <=> is_aligned(X, T)))))),
% 0.48/0.58 inference(quant_intro,[status(thm)],[44])).
% 0.48/0.58 tff(46,plain,
% 0.48/0.58 (^[X: $i, T0: $i, T: $i] : rewrite((dissimilar(X, T0, T) <=> (organization(X) & ((~is_aligned(X, T0)) <=> is_aligned(X, T)))) <=> (dissimilar(X, T0, T) <=> (~((~organization(X)) | (is_aligned(X, T0) <=> is_aligned(X, T))))))),
% 0.48/0.58 inference(bind,[status(th)],[])).
% 0.48/0.58 tff(47,plain,
% 0.48/0.58 (![X: $i, T0: $i, T: $i] : (dissimilar(X, T0, T) <=> (organization(X) & ((~is_aligned(X, T0)) <=> is_aligned(X, T)))) <=> ![X: $i, T0: $i, T: $i] : (dissimilar(X, T0, T) <=> (~((~organization(X)) | (is_aligned(X, T0) <=> is_aligned(X, T)))))),
% 0.48/0.58 inference(quant_intro,[status(thm)],[46])).
% 0.48/0.58 tff(48,plain,
% 0.48/0.58 (![X: $i, T0: $i, T: $i] : (dissimilar(X, T0, T) <=> (organization(X) & ((~is_aligned(X, T0)) <=> is_aligned(X, T)))) <=> ![X: $i, T0: $i, T: $i] : (dissimilar(X, T0, T) <=> (organization(X) & ((~is_aligned(X, T0)) <=> is_aligned(X, T))))),
% 0.48/0.58 inference(rewrite,[status(thm)],[])).
% 0.48/0.58 tff(49,plain,
% 0.48/0.58 (^[X: $i, T0: $i, T: $i] : rewrite((dissimilar(X, T0, T) <=> (organization(X) & (~(is_aligned(X, T0) <=> is_aligned(X, T))))) <=> (dissimilar(X, T0, T) <=> (organization(X) & ((~is_aligned(X, T0)) <=> is_aligned(X, T)))))),
% 0.48/0.58 inference(bind,[status(th)],[])).
% 0.48/0.58 tff(50,plain,
% 0.48/0.58 (![X: $i, T0: $i, T: $i] : (dissimilar(X, T0, T) <=> (organization(X) & (~(is_aligned(X, T0) <=> is_aligned(X, T))))) <=> ![X: $i, T0: $i, T: $i] : (dissimilar(X, T0, T) <=> (organization(X) & ((~is_aligned(X, T0)) <=> is_aligned(X, T))))),
% 0.48/0.58 inference(quant_intro,[status(thm)],[49])).
% 0.48/0.58 tff(51,axiom,(![X: $i, T0: $i, T: $i] : (dissimilar(X, T0, T) <=> (organization(X) & (~(is_aligned(X, T0) <=> is_aligned(X, T)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','definition_2')).
% 0.48/0.58 tff(52,plain,
% 0.48/0.58 (![X: $i, T0: $i, T: $i] : (dissimilar(X, T0, T) <=> (organization(X) & ((~is_aligned(X, T0)) <=> is_aligned(X, T))))),
% 0.48/0.58 inference(modus_ponens,[status(thm)],[51, 50])).
% 0.48/0.58 tff(53,plain,
% 0.48/0.58 (![X: $i, T0: $i, T: $i] : (dissimilar(X, T0, T) <=> (organization(X) & ((~is_aligned(X, T0)) <=> is_aligned(X, T))))),
% 0.48/0.58 inference(modus_ponens,[status(thm)],[52, 48])).
% 0.48/0.58 tff(54,plain,(
% 0.48/0.58 ![X: $i, T0: $i, T: $i] : (dissimilar(X, T0, T) <=> (organization(X) & ((~is_aligned(X, T0)) <=> is_aligned(X, T))))),
% 0.48/0.58 inference(skolemize,[status(sab)],[53])).
% 0.48/0.58 tff(55,plain,
% 0.48/0.58 (![X: $i, T0: $i, T: $i] : (dissimilar(X, T0, T) <=> (~((~organization(X)) | (is_aligned(X, T0) <=> is_aligned(X, T)))))),
% 0.48/0.58 inference(modus_ponens,[status(thm)],[54, 47])).
% 0.48/0.58 tff(56,plain,
% 0.48/0.58 (![X: $i, T0: $i, T: $i] : (dissimilar(X, T0, T) <=> (~((~organization(X)) | (is_aligned(X, T0) <=> is_aligned(X, T)))))),
% 0.48/0.58 inference(modus_ponens,[status(thm)],[55, 45])).
% 0.48/0.58 tff(57,plain,
% 0.48/0.58 ((~![X: $i, T0: $i, T: $i] : (dissimilar(X, T0, T) <=> (~((~organization(X)) | (is_aligned(X, T0) <=> is_aligned(X, T)))))) | (dissimilar(X!5, T0!4, T2!2) <=> (~((~organization(X!5)) | (is_aligned(X!5, T0!4) <=> is_aligned(X!5, T2!2)))))),
% 0.48/0.58 inference(quant_inst,[status(thm)],[])).
% 0.48/0.58 tff(58,plain,
% 0.48/0.58 (dissimilar(X!5, T0!4, T2!2) <=> (~((~organization(X!5)) | (is_aligned(X!5, T0!4) <=> is_aligned(X!5, T2!2))))),
% 0.48/0.58 inference(unit_resolution,[status(thm)],[57, 56])).
% 0.48/0.58 tff(59,plain,
% 0.48/0.58 (^[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)))))))))))),
% 0.48/0.58 inference(bind,[status(th)],[])).
% 0.48/0.58 tff(60,plain,
% 0.48/0.58 (![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))))))))))),
% 0.48/0.58 inference(quant_intro,[status(thm)],[59])).
% 0.48/0.58 tff(61,plain,
% 0.48/0.58 (^[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)))))))))),
% 0.48/0.58 inference(bind,[status(th)],[])).
% 0.48/0.58 tff(62,plain,
% 0.48/0.58 (![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))))))))),
% 0.48/0.58 inference(quant_intro,[status(thm)],[61])).
% 0.48/0.58 tff(63,plain,
% 0.48/0.58 (^[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)))))))))),
% 0.48/0.59 inference(bind,[status(th)],[])).
% 0.48/0.59 tff(64,plain,
% 0.48/0.59 (![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))))))))),
% 0.48/0.59 inference(quant_intro,[status(thm)],[63])).
% 0.48/0.59 tff(65,plain,
% 0.48/0.59 (![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))))))))),
% 0.48/0.59 inference(transitivity,[status(thm)],[64, 62])).
% 0.48/0.59 tff(66,plain,
% 0.48/0.59 (^[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))))))))))),
% 0.48/0.59 inference(bind,[status(th)],[])).
% 0.48/0.59 tff(67,plain,
% 0.48/0.59 (![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))))))))),
% 0.48/0.59 inference(quant_intro,[status(thm)],[66])).
% 0.48/0.59 tff(68,plain,
% 0.48/0.59 (![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)))))),
% 0.48/0.59 inference(rewrite,[status(thm)],[])).
% 0.48/0.59 tff(69,plain,
% 0.48/0.59 (^[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))))))),
% 0.48/0.59 inference(bind,[status(th)],[])).
% 0.48/0.59 tff(70,plain,
% 0.48/0.59 (![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)))))),
% 0.48/0.59 inference(quant_intro,[status(thm)],[69])).
% 0.48/0.59 tff(71,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/sandbox/benchmark/theBenchmark.p','definition_1')).
% 0.48/0.59 tff(72,plain,
% 0.48/0.59 (![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)))))),
% 0.48/0.59 inference(modus_ponens,[status(thm)],[71, 70])).
% 0.48/0.59 tff(73,plain,
% 0.48/0.59 (![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)))))),
% 0.48/0.59 inference(modus_ponens,[status(thm)],[72, 68])).
% 0.48/0.59 tff(74,plain,(
% 0.48/0.59 ![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)))))))),
% 0.48/0.59 inference(skolemize,[status(sab)],[73])).
% 0.48/0.59 tff(75,plain,
% 0.48/0.59 (![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))))))))),
% 0.48/0.60 inference(modus_ponens,[status(thm)],[74, 67])).
% 0.48/0.60 tff(76,plain,
% 0.48/0.60 (![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))))))))),
% 0.48/0.60 inference(modus_ponens,[status(thm)],[75, 65])).
% 0.48/0.60 tff(77,plain,
% 0.48/0.60 (![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))))))))))),
% 0.48/0.60 inference(modus_ponens,[status(thm)],[76, 60])).
% 0.48/0.60 tff(78,plain,
% 0.48/0.60 ((~![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))))))))))),
% 0.48/0.60 inference(quant_inst,[status(thm)],[])).
% 0.48/0.60 tff(79,plain,
% 0.48/0.60 (~((~(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)))))))))),
% 0.48/0.60 inference(unit_resolution,[status(thm)],[78, 77])).
% 0.48/0.60 tff(80,plain,
% 0.48/0.60 (((~(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)))))))),
% 0.48/0.60 inference(tautology,[status(thm)],[])).
% 0.48/0.60 tff(81,plain,
% 0.48/0.60 ((~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))))))),
% 0.48/0.60 inference(unit_resolution,[status(thm)],[80, 79])).
% 0.48/0.60 tff(82,plain,
% 0.48/0.60 (has_endowment(X!5)),
% 0.48/0.60 inference(and_elim,[status(thm)],[21])).
% 0.48/0.60 tff(83,plain,
% 0.48/0.60 ((~((~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))))))),
% 0.48/0.60 inference(tautology,[status(thm)],[])).
% 0.48/0.60 tff(84,plain,
% 0.48/0.60 ((~((~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))))))),
% 0.48/0.60 inference(unit_resolution,[status(thm)],[83, 82])).
% 0.48/0.60 tff(85,plain,
% 0.48/0.60 (![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))))))),
% 0.48/0.60 inference(unit_resolution,[status(thm)],[84, 81])).
% 0.48/0.60 tff(86,plain,
% 0.48/0.60 ((~![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))))))),
% 0.48/0.60 inference(quant_inst,[status(thm)],[])).
% 0.48/0.60 tff(87,plain,
% 0.48/0.60 (~((~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)))))),
% 0.48/0.60 inference(unit_resolution,[status(thm)],[86, 85])).
% 0.48/0.60 tff(88,plain,
% 0.48/0.60 (((~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)))),
% 0.48/0.60 inference(tautology,[status(thm)],[])).
% 0.48/0.60 tff(89,plain,
% 0.48/0.60 ((~has_immunity(X!5, T3!1)) | (~greater(age(X!5, T3!1), eta))),
% 0.48/0.60 inference(unit_resolution,[status(thm)],[88, 87])).
% 0.48/0.60 tff(90,plain,
% 0.48/0.60 (greater(sigma, eta)),
% 0.48/0.60 inference(and_elim,[status(thm)],[21])).
% 0.48/0.60 tff(91,plain,
% 0.48/0.60 (greater(age(X!5, T3!1), sigma)),
% 0.48/0.60 inference(and_elim,[status(thm)],[21])).
% 0.48/0.60 tff(92,plain,
% 0.48/0.60 (![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)))),
% 0.48/0.60 inference(rewrite,[status(thm)],[])).
% 0.48/0.60 tff(93,plain,
% 0.48/0.60 (^[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)))))),
% 0.48/0.60 inference(bind,[status(th)],[])).
% 0.48/0.60 tff(94,plain,
% 0.48/0.60 (![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)))),
% 0.48/0.60 inference(quant_intro,[status(thm)],[93])).
% 0.48/0.60 tff(95,plain,
% 0.48/0.60 (![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))),
% 0.48/0.60 inference(rewrite,[status(thm)],[])).
% 0.48/0.60 tff(96,plain,
% 0.48/0.60 (^[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)))),
% 0.48/0.60 inference(bind,[status(th)],[])).
% 0.48/0.60 tff(97,plain,
% 0.48/0.60 (![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))),
% 0.48/0.60 inference(quant_intro,[status(thm)],[96])).
% 0.48/0.60 tff(98,axiom,(![X: $i, Y: $i, Z: $i] : ((greater(X, Y) & greater(Y, Z)) => greater(X, Z))), file('/export/starexec/sandbox/benchmark/Axioms/MGT001+0.ax','meaning_postulate_greater_transitive')).
% 0.48/0.61 tff(99,plain,
% 0.48/0.61 (![X: $i, Y: $i, Z: $i] : ((~(greater(X, Y) & greater(Y, Z))) | greater(X, Z))),
% 0.48/0.61 inference(modus_ponens,[status(thm)],[98, 97])).
% 0.48/0.61 tff(100,plain,
% 0.48/0.61 (![X: $i, Y: $i, Z: $i] : ((~(greater(X, Y) & greater(Y, Z))) | greater(X, Z))),
% 0.48/0.61 inference(modus_ponens,[status(thm)],[99, 95])).
% 0.48/0.61 tff(101,plain,(
% 0.48/0.61 ![X: $i, Y: $i, Z: $i] : ((~(greater(X, Y) & greater(Y, Z))) | greater(X, Z))),
% 0.48/0.61 inference(skolemize,[status(sab)],[100])).
% 0.48/0.61 tff(102,plain,
% 0.48/0.61 (![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))),
% 0.48/0.61 inference(modus_ponens,[status(thm)],[101, 94])).
% 0.48/0.61 tff(103,plain,
% 0.48/0.61 (![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))),
% 0.48/0.61 inference(modus_ponens,[status(thm)],[102, 92])).
% 0.48/0.61 tff(104,plain,
% 0.48/0.61 (((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (greater(age(X!5, T3!1), eta) | (~greater(sigma, eta)) | (~greater(age(X!5, T3!1), sigma)))) <=> ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | greater(age(X!5, T3!1), eta) | (~greater(sigma, eta)) | (~greater(age(X!5, T3!1), sigma)))),
% 0.48/0.61 inference(rewrite,[status(thm)],[])).
% 0.48/0.61 tff(105,plain,
% 0.48/0.61 ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (greater(age(X!5, T3!1), eta) | (~greater(sigma, eta)) | (~greater(age(X!5, T3!1), sigma)))),
% 0.48/0.61 inference(quant_inst,[status(thm)],[])).
% 0.48/0.61 tff(106,plain,
% 0.48/0.61 ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | greater(age(X!5, T3!1), eta) | (~greater(sigma, eta)) | (~greater(age(X!5, T3!1), sigma))),
% 0.48/0.61 inference(modus_ponens,[status(thm)],[105, 104])).
% 0.48/0.61 tff(107,plain,
% 0.48/0.61 (greater(age(X!5, T3!1), eta)),
% 0.48/0.61 inference(unit_resolution,[status(thm)],[106, 103, 91, 90])).
% 0.48/0.61 tff(108,plain,
% 0.48/0.61 ((~((~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))),
% 0.48/0.61 inference(tautology,[status(thm)],[])).
% 0.48/0.61 tff(109,plain,
% 0.48/0.61 ((~((~has_immunity(X!5, T3!1)) | (~greater(age(X!5, T3!1), eta)))) | (~has_immunity(X!5, T3!1))),
% 0.48/0.61 inference(unit_resolution,[status(thm)],[108, 107])).
% 0.48/0.61 tff(110,plain,
% 0.48/0.61 (~has_immunity(X!5, T3!1)),
% 0.48/0.61 inference(unit_resolution,[status(thm)],[109, 89])).
% 0.48/0.61 tff(111,plain,
% 0.48/0.61 ((~![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))))))),
% 0.48/0.61 inference(quant_inst,[status(thm)],[])).
% 0.48/0.61 tff(112,plain,
% 0.48/0.61 (~((~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)))))),
% 0.48/0.61 inference(unit_resolution,[status(thm)],[111, 85])).
% 0.48/0.61 tff(113,plain,
% 0.48/0.61 (((~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)))),
% 0.48/0.61 inference(tautology,[status(thm)],[])).
% 0.48/0.61 tff(114,plain,
% 0.48/0.61 ((~has_immunity(X!5, T2!2)) | (~greater(age(X!5, T2!2), eta))),
% 0.48/0.61 inference(unit_resolution,[status(thm)],[113, 112])).
% 0.48/0.61 tff(115,plain,
% 0.48/0.61 (greater(age(X!5, T2!2), eta)),
% 0.48/0.61 inference(and_elim,[status(thm)],[21])).
% 0.48/0.61 tff(116,plain,
% 0.48/0.61 ((~((~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))),
% 0.48/0.61 inference(tautology,[status(thm)],[])).
% 0.48/0.61 tff(117,plain,
% 0.48/0.61 ((~((~has_immunity(X!5, T2!2)) | (~greater(age(X!5, T2!2), eta)))) | (~has_immunity(X!5, T2!2))),
% 0.48/0.61 inference(unit_resolution,[status(thm)],[116, 115])).
% 0.48/0.61 tff(118,plain,
% 0.48/0.61 (~has_immunity(X!5, T2!2)),
% 0.48/0.61 inference(unit_resolution,[status(thm)],[117, 114])).
% 0.48/0.61 tff(119,plain,
% 0.48/0.61 ((~![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))))))),
% 0.48/0.61 inference(quant_inst,[status(thm)],[])).
% 0.48/0.61 tff(120,plain,
% 0.48/0.61 (~((~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)))))),
% 0.48/0.61 inference(unit_resolution,[status(thm)],[119, 85])).
% 0.48/0.61 tff(121,plain,
% 0.48/0.61 (((~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))),
% 0.48/0.61 inference(tautology,[status(thm)],[])).
% 0.48/0.61 tff(122,plain,
% 0.48/0.61 ((~smaller_or_equal(age(X!5, T1!3), eta)) | has_immunity(X!5, T1!3)),
% 0.48/0.61 inference(unit_resolution,[status(thm)],[121, 120])).
% 0.48/0.61 tff(123,plain,
% 0.48/0.61 (smaller_or_equal(age(X!5, T1!3), eta)),
% 0.48/0.61 inference(and_elim,[status(thm)],[21])).
% 0.48/0.61 tff(124,plain,
% 0.48/0.61 ((~((~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)),
% 0.48/0.61 inference(tautology,[status(thm)],[])).
% 0.48/0.61 tff(125,plain,
% 0.48/0.61 ((~((~smaller_or_equal(age(X!5, T1!3), eta)) | has_immunity(X!5, T1!3))) | has_immunity(X!5, T1!3)),
% 0.48/0.61 inference(unit_resolution,[status(thm)],[124, 123])).
% 0.48/0.61 tff(126,plain,
% 0.48/0.61 (has_immunity(X!5, T1!3)),
% 0.48/0.61 inference(unit_resolution,[status(thm)],[125, 122])).
% 0.48/0.61 tff(127,assumption,(~greater(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T1!3))), introduced(assumption)).
% 0.48/0.61 tff(128,plain,
% 0.48/0.61 (^[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))))),
% 0.48/0.61 inference(bind,[status(th)],[])).
% 0.48/0.61 tff(129,plain,
% 0.48/0.61 (![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)))),
% 0.48/0.61 inference(quant_intro,[status(thm)],[128])).
% 0.48/0.61 tff(130,plain,
% 0.48/0.61 (^[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)))))),
% 0.48/0.61 inference(bind,[status(th)],[])).
% 0.48/0.61 tff(131,plain,
% 0.48/0.61 (![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)))),
% 0.48/0.62 inference(quant_intro,[status(thm)],[130])).
% 0.48/0.62 tff(132,plain,
% 0.48/0.62 (![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)))),
% 0.48/0.62 inference(rewrite,[status(thm)],[])).
% 0.48/0.62 tff(133,plain,
% 0.48/0.62 (^[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)))))),
% 0.48/0.62 inference(bind,[status(th)],[])).
% 0.48/0.62 tff(134,plain,
% 0.48/0.62 (![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)))),
% 0.48/0.62 inference(quant_intro,[status(thm)],[133])).
% 0.48/0.62 tff(135,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/sandbox/benchmark/theBenchmark.p','assumption_3')).
% 0.48/0.62 tff(136,plain,
% 0.48/0.62 (![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)))),
% 0.48/0.62 inference(modus_ponens,[status(thm)],[135, 134])).
% 0.48/0.62 tff(137,plain,
% 0.48/0.62 (![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)))),
% 0.48/0.62 inference(modus_ponens,[status(thm)],[136, 132])).
% 0.48/0.62 tff(138,plain,(
% 0.48/0.62 ![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)))),
% 0.48/0.62 inference(skolemize,[status(sab)],[137])).
% 0.48/0.62 tff(139,plain,
% 0.48/0.62 (![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)))),
% 0.48/0.62 inference(modus_ponens,[status(thm)],[138, 131])).
% 0.48/0.62 tff(140,plain,
% 0.48/0.62 (![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)))),
% 0.48/0.62 inference(modus_ponens,[status(thm)],[139, 129])).
% 0.48/0.62 tff(141,plain,
% 0.48/0.62 (((~![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))),
% 0.48/0.62 inference(rewrite,[status(thm)],[])).
% 0.48/0.62 tff(142,plain,
% 0.48/0.62 ((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))),
% 0.48/0.62 inference(rewrite,[status(thm)],[])).
% 0.48/0.62 tff(143,plain,
% 0.48/0.62 (((~![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)))),
% 0.48/0.62 inference(monotonicity,[status(thm)],[142])).
% 0.48/0.62 tff(144,plain,
% 0.48/0.62 (((~![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))),
% 0.48/0.62 inference(transitivity,[status(thm)],[143, 141])).
% 0.48/0.62 tff(145,plain,
% 0.48/0.62 ((~![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)))),
% 0.48/0.62 inference(quant_inst,[status(thm)],[])).
% 0.48/0.62 tff(146,plain,
% 0.48/0.62 ((~![X: $i, T0: $i, T: $i] : (has_immunity(X, T) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~has_immunity(X, T0)) | (~organization(X)))) | greater(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T1!3)) | (~organization(X!5)) | (~has_immunity(X!5, T1!3)) | has_immunity(X!5, T2!2)),
% 0.48/0.62 inference(modus_ponens,[status(thm)],[145, 144])).
% 0.48/0.62 tff(147,plain,
% 0.48/0.62 ($false),
% 0.48/0.62 inference(unit_resolution,[status(thm)],[146, 140, 23, 127, 126, 118])).
% 0.48/0.62 tff(148,plain,(greater(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T1!3))), inference(lemma,lemma(discharge,[]))).
% 0.48/0.62 tff(149,plain,
% 0.48/0.62 ((~![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))))))),
% 0.48/0.62 inference(quant_inst,[status(thm)],[])).
% 0.48/0.62 tff(150,plain,
% 0.48/0.62 (~((~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)))))),
% 0.48/0.62 inference(unit_resolution,[status(thm)],[149, 85])).
% 0.48/0.62 tff(151,plain,
% 0.48/0.62 (((~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))),
% 0.48/0.62 inference(tautology,[status(thm)],[])).
% 0.48/0.62 tff(152,plain,
% 0.48/0.62 ((~smaller_or_equal(age(X!5, T0!4), eta)) | has_immunity(X!5, T0!4)),
% 0.48/0.62 inference(unit_resolution,[status(thm)],[151, 150])).
% 0.48/0.62 tff(153,plain,
% 0.48/0.62 (smaller_or_equal(age(X!5, T0!4), eta) <=> smaller_or_equal(zero, eta)),
% 0.48/0.62 inference(monotonicity,[status(thm)],[22])).
% 0.48/0.62 tff(154,plain,
% 0.48/0.62 (smaller_or_equal(zero, eta) <=> smaller_or_equal(age(X!5, T0!4), eta)),
% 0.48/0.62 inference(symmetry,[status(thm)],[153])).
% 0.48/0.62 tff(155,plain,
% 0.48/0.62 (^[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))))),
% 0.48/0.62 inference(bind,[status(th)],[])).
% 0.48/0.62 tff(156,plain,
% 0.48/0.62 (![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)))),
% 0.48/0.62 inference(quant_intro,[status(thm)],[155])).
% 0.48/0.62 tff(157,plain,
% 0.48/0.62 (![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)))),
% 0.48/0.62 inference(rewrite,[status(thm)],[])).
% 0.48/0.62 tff(158,plain,
% 0.48/0.62 (^[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))))),
% 0.48/0.62 inference(bind,[status(th)],[])).
% 0.48/0.62 tff(159,plain,
% 0.48/0.62 (![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)))),
% 0.48/0.62 inference(quant_intro,[status(thm)],[158])).
% 0.48/0.62 tff(160,axiom,(![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> (smaller(X, Y) | (X = Y)))), file('/export/starexec/sandbox/benchmark/Axioms/MGT001+0.ax','definition_smaller_or_equal')).
% 0.48/0.62 tff(161,plain,
% 0.48/0.62 (![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))),
% 0.48/0.62 inference(modus_ponens,[status(thm)],[160, 159])).
% 0.48/0.62 tff(162,plain,
% 0.48/0.62 (![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))),
% 0.48/0.62 inference(modus_ponens,[status(thm)],[161, 157])).
% 0.48/0.62 tff(163,plain,(
% 0.48/0.62 ![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))),
% 0.48/0.62 inference(skolemize,[status(sab)],[162])).
% 0.48/0.62 tff(164,plain,
% 0.48/0.62 (![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))),
% 0.48/0.62 inference(modus_ponens,[status(thm)],[163, 156])).
% 0.48/0.62 tff(165,plain,
% 0.48/0.62 ((~![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))) | (smaller_or_equal(zero, eta) <=> ((zero = eta) | smaller(zero, eta)))),
% 0.48/0.62 inference(quant_inst,[status(thm)],[])).
% 0.48/0.62 tff(166,plain,
% 0.48/0.62 (smaller_or_equal(zero, eta) <=> ((zero = eta) | smaller(zero, eta))),
% 0.48/0.62 inference(unit_resolution,[status(thm)],[165, 164])).
% 0.48/0.62 tff(167,plain,
% 0.48/0.62 ((~![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))) | (smaller(zero, eta) <=> greater(eta, zero))),
% 0.48/0.62 inference(quant_inst,[status(thm)],[])).
% 0.48/0.62 tff(168,plain,
% 0.48/0.62 (smaller(zero, eta) <=> greater(eta, zero)),
% 0.48/0.62 inference(unit_resolution,[status(thm)],[167, 7])).
% 0.48/0.62 tff(169,plain,
% 0.48/0.62 (greater(eta, zero)),
% 0.48/0.62 inference(and_elim,[status(thm)],[21])).
% 0.48/0.62 tff(170,plain,
% 0.48/0.62 ((~(smaller(zero, eta) <=> greater(eta, zero))) | smaller(zero, eta) | (~greater(eta, zero))),
% 0.48/0.62 inference(tautology,[status(thm)],[])).
% 0.48/0.62 tff(171,plain,
% 0.48/0.62 ((~(smaller(zero, eta) <=> greater(eta, zero))) | smaller(zero, eta)),
% 0.48/0.62 inference(unit_resolution,[status(thm)],[170, 169])).
% 0.48/0.62 tff(172,plain,
% 0.48/0.62 (smaller(zero, eta)),
% 0.48/0.62 inference(unit_resolution,[status(thm)],[171, 168])).
% 0.48/0.62 tff(173,plain,
% 0.48/0.62 (((zero = eta) | smaller(zero, eta)) | (~smaller(zero, eta))),
% 0.48/0.62 inference(tautology,[status(thm)],[])).
% 0.48/0.62 tff(174,plain,
% 0.48/0.62 ((zero = eta) | smaller(zero, eta)),
% 0.48/0.62 inference(unit_resolution,[status(thm)],[173, 172])).
% 0.48/0.62 tff(175,plain,
% 0.48/0.62 ((~(smaller_or_equal(zero, eta) <=> ((zero = eta) | smaller(zero, eta)))) | smaller_or_equal(zero, eta) | (~((zero = eta) | smaller(zero, eta)))),
% 0.48/0.62 inference(tautology,[status(thm)],[])).
% 0.48/0.62 tff(176,plain,
% 0.48/0.62 ((~(smaller_or_equal(zero, eta) <=> ((zero = eta) | smaller(zero, eta)))) | smaller_or_equal(zero, eta)),
% 0.48/0.62 inference(unit_resolution,[status(thm)],[175, 174])).
% 0.48/0.62 tff(177,plain,
% 0.48/0.62 (smaller_or_equal(zero, eta)),
% 0.48/0.62 inference(unit_resolution,[status(thm)],[176, 166])).
% 0.48/0.62 tff(178,plain,
% 0.48/0.62 (smaller_or_equal(age(X!5, T0!4), eta)),
% 0.48/0.62 inference(modus_ponens,[status(thm)],[177, 154])).
% 0.48/0.62 tff(179,plain,
% 0.48/0.62 ((~((~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)),
% 0.48/0.62 inference(tautology,[status(thm)],[])).
% 0.48/0.62 tff(180,plain,
% 0.48/0.62 (has_immunity(X!5, T0!4)),
% 0.48/0.62 inference(unit_resolution,[status(thm)],[179, 178, 152])).
% 0.48/0.62 tff(181,assumption,(~(hazard_of_mortality(X!5, T1!3) = hazard_of_mortality(X!5, T0!4))), introduced(assumption)).
% 0.48/0.62 tff(182,plain,
% 0.48/0.62 (^[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))))),
% 0.48/0.62 inference(bind,[status(th)],[])).
% 0.48/0.62 tff(183,plain,
% 0.48/0.62 (![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)))),
% 0.48/0.62 inference(quant_intro,[status(thm)],[182])).
% 0.48/0.62 tff(184,plain,
% 0.48/0.62 (^[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)))))),
% 0.48/0.62 inference(bind,[status(th)],[])).
% 0.48/0.62 tff(185,plain,
% 0.48/0.62 (![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)))),
% 0.48/0.62 inference(quant_intro,[status(thm)],[184])).
% 0.48/0.62 tff(186,plain,
% 0.48/0.62 (![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)))),
% 0.48/0.62 inference(rewrite,[status(thm)],[])).
% 0.48/0.62 tff(187,plain,
% 0.48/0.62 (^[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)))))),
% 0.48/0.63 inference(bind,[status(th)],[])).
% 0.48/0.63 tff(188,plain,
% 0.48/0.63 (![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)))),
% 0.48/0.63 inference(quant_intro,[status(thm)],[187])).
% 0.48/0.63 tff(189,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/sandbox/benchmark/theBenchmark.p','assumption_2')).
% 0.48/0.63 tff(190,plain,
% 0.48/0.63 (![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)))),
% 0.48/0.63 inference(modus_ponens,[status(thm)],[189, 188])).
% 0.48/0.63 tff(191,plain,
% 0.48/0.63 (![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)))),
% 0.48/0.63 inference(modus_ponens,[status(thm)],[190, 186])).
% 0.48/0.63 tff(192,plain,(
% 0.48/0.63 ![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)))),
% 0.48/0.63 inference(skolemize,[status(sab)],[191])).
% 0.48/0.63 tff(193,plain,
% 0.48/0.63 (![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)))),
% 0.48/0.63 inference(modus_ponens,[status(thm)],[192, 185])).
% 0.48/0.63 tff(194,plain,
% 0.48/0.63 (![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)))),
% 0.48/0.63 inference(modus_ponens,[status(thm)],[193, 183])).
% 0.48/0.63 tff(195,plain,
% 0.48/0.63 (((~![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)))),
% 0.48/0.63 inference(rewrite,[status(thm)],[])).
% 0.48/0.63 tff(196,plain,
% 0.48/0.63 (((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)))),
% 0.48/0.63 inference(rewrite,[status(thm)],[])).
% 0.48/0.63 tff(197,plain,
% 0.48/0.63 (((~![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))))),
% 0.48/0.63 inference(monotonicity,[status(thm)],[196])).
% 0.48/0.63 tff(198,plain,
% 0.48/0.63 (((~![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)))),
% 0.60/0.63 inference(transitivity,[status(thm)],[197, 195])).
% 0.60/0.63 tff(199,plain,
% 0.60/0.63 ((~![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)))),
% 0.60/0.63 inference(quant_inst,[status(thm)],[])).
% 0.60/0.63 tff(200,plain,
% 0.60/0.63 ((~![X: $i, T0: $i, T: $i] : ((hazard_of_mortality(X, T0) = hazard_of_mortality(X, T)) | (~has_immunity(X, T)) | (~has_immunity(X, T0)) | (~organization(X)))) | (hazard_of_mortality(X!5, T1!3) = hazard_of_mortality(X!5, T0!4)) | (~organization(X!5)) | (~has_immunity(X!5, T0!4)) | (~has_immunity(X!5, T1!3))),
% 0.60/0.63 inference(modus_ponens,[status(thm)],[199, 198])).
% 0.60/0.63 tff(201,plain,
% 0.60/0.63 ($false),
% 0.60/0.63 inference(unit_resolution,[status(thm)],[200, 194, 23, 181, 180, 126])).
% 0.60/0.63 tff(202,plain,(hazard_of_mortality(X!5, T1!3) = hazard_of_mortality(X!5, T0!4)), inference(lemma,lemma(discharge,[]))).
% 0.60/0.63 tff(203,plain,
% 0.60/0.63 ((~(~((~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))))),
% 0.60/0.63 inference(rewrite,[status(thm)],[])).
% 0.60/0.63 tff(204,plain,
% 0.60/0.63 ((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)))))),
% 0.60/0.63 inference(rewrite,[status(thm)],[])).
% 0.60/0.63 tff(205,plain,
% 0.60/0.63 ((~(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))))))),
% 0.60/0.63 inference(monotonicity,[status(thm)],[204])).
% 0.60/0.63 tff(206,plain,
% 0.60/0.63 ((~(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))))),
% 0.60/0.63 inference(transitivity,[status(thm)],[205, 203])).
% 0.60/0.63 tff(207,plain,
% 0.60/0.63 (~(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)))),
% 0.60/0.63 inference(or_elim,[status(thm)],[20])).
% 0.60/0.63 tff(208,plain,
% 0.60/0.63 ((~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)))),
% 0.60/0.63 inference(modus_ponens,[status(thm)],[207, 206])).
% 0.60/0.63 tff(209,plain,
% 0.60/0.63 ((~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)))),
% 0.60/0.63 inference(unit_resolution,[status(thm)],[208, 202])).
% 0.60/0.63 tff(210,plain,
% 0.60/0.63 (~greater(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2))),
% 0.60/0.63 inference(unit_resolution,[status(thm)],[209, 148])).
% 0.60/0.63 tff(211,plain,
% 0.60/0.63 (^[X: $i, T0: $i, T: $i] : refl((has_immunity(X, T) | has_immunity(X, T0) | greater(hazard_of_mortality(X, T0), hazard_of_mortality(X, T)) | (~organization(X)) | (~greater(capability(X, T), capability(X, T0)))) <=> (has_immunity(X, T) | has_immunity(X, T0) | greater(hazard_of_mortality(X, T0), hazard_of_mortality(X, T)) | (~organization(X)) | (~greater(capability(X, T), capability(X, T0)))))),
% 0.60/0.63 inference(bind,[status(th)],[])).
% 0.60/0.63 tff(212,plain,
% 0.60/0.63 (![X: $i, T0: $i, T: $i] : (has_immunity(X, T) | has_immunity(X, T0) | greater(hazard_of_mortality(X, T0), hazard_of_mortality(X, T)) | (~organization(X)) | (~greater(capability(X, T), capability(X, T0)))) <=> ![X: $i, T0: $i, T: $i] : (has_immunity(X, T) | has_immunity(X, T0) | greater(hazard_of_mortality(X, T0), hazard_of_mortality(X, T)) | (~organization(X)) | (~greater(capability(X, T), capability(X, T0))))),
% 0.60/0.63 inference(quant_intro,[status(thm)],[211])).
% 0.60/0.63 tff(213,plain,
% 0.60/0.63 (^[X: $i, T0: $i, T: $i] : trans(monotonicity(trans(monotonicity(rewrite((organization(X) & (~has_immunity(X, T0)) & (~has_immunity(X, T)) & greater(capability(X, T), capability(X, T0))) <=> (~(has_immunity(X, T) | has_immunity(X, T0) | (~organization(X)) | (~greater(capability(X, T), capability(X, T0)))))), ((~(organization(X) & (~has_immunity(X, T0)) & (~has_immunity(X, T)) & greater(capability(X, T), capability(X, T0)))) <=> (~(~(has_immunity(X, T) | has_immunity(X, T0) | (~organization(X)) | (~greater(capability(X, T), capability(X, T0)))))))), rewrite((~(~(has_immunity(X, T) | has_immunity(X, T0) | (~organization(X)) | (~greater(capability(X, T), capability(X, T0)))))) <=> (has_immunity(X, T) | has_immunity(X, T0) | (~organization(X)) | (~greater(capability(X, T), capability(X, T0))))), ((~(organization(X) & (~has_immunity(X, T0)) & (~has_immunity(X, T)) & greater(capability(X, T), capability(X, T0)))) <=> (has_immunity(X, T) | has_immunity(X, T0) | (~organization(X)) | (~greater(capability(X, T), capability(X, T0)))))), (((~(organization(X) & (~has_immunity(X, T0)) & (~has_immunity(X, T)) & greater(capability(X, T), capability(X, T0)))) | greater(hazard_of_mortality(X, T0), hazard_of_mortality(X, T))) <=> ((has_immunity(X, T) | has_immunity(X, T0) | (~organization(X)) | (~greater(capability(X, T), capability(X, T0)))) | greater(hazard_of_mortality(X, T0), hazard_of_mortality(X, T))))), rewrite(((has_immunity(X, T) | has_immunity(X, T0) | (~organization(X)) | (~greater(capability(X, T), capability(X, T0)))) | greater(hazard_of_mortality(X, T0), hazard_of_mortality(X, T))) <=> (has_immunity(X, T) | has_immunity(X, T0) | greater(hazard_of_mortality(X, T0), hazard_of_mortality(X, T)) | (~organization(X)) | (~greater(capability(X, T), capability(X, T0))))), (((~(organization(X) & (~has_immunity(X, T0)) & (~has_immunity(X, T)) & greater(capability(X, T), capability(X, T0)))) | greater(hazard_of_mortality(X, T0), hazard_of_mortality(X, T))) <=> (has_immunity(X, T) | has_immunity(X, T0) | greater(hazard_of_mortality(X, T0), hazard_of_mortality(X, T)) | (~organization(X)) | (~greater(capability(X, T), capability(X, T0))))))),
% 0.60/0.63 inference(bind,[status(th)],[])).
% 0.60/0.63 tff(214,plain,
% 0.60/0.63 (![X: $i, T0: $i, T: $i] : ((~(organization(X) & (~has_immunity(X, T0)) & (~has_immunity(X, T)) & greater(capability(X, T), capability(X, T0)))) | greater(hazard_of_mortality(X, T0), hazard_of_mortality(X, T))) <=> ![X: $i, T0: $i, T: $i] : (has_immunity(X, T) | has_immunity(X, T0) | greater(hazard_of_mortality(X, T0), hazard_of_mortality(X, T)) | (~organization(X)) | (~greater(capability(X, T), capability(X, T0))))),
% 0.60/0.63 inference(quant_intro,[status(thm)],[213])).
% 0.60/0.63 tff(215,plain,
% 0.60/0.63 (![X: $i, T0: $i, T: $i] : ((~(organization(X) & (~has_immunity(X, T0)) & (~has_immunity(X, T)) & greater(capability(X, T), capability(X, T0)))) | greater(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)) & greater(capability(X, T), capability(X, T0)))) | greater(hazard_of_mortality(X, T0), hazard_of_mortality(X, T)))),
% 0.60/0.63 inference(rewrite,[status(thm)],[])).
% 0.60/0.63 tff(216,plain,
% 0.60/0.63 (^[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))) & greater(capability(X, T), capability(X, T0))) <=> ((organization(X) & (~has_immunity(X, T0)) & (~has_immunity(X, T))) & greater(capability(X, T), capability(X, T0))))), rewrite(((organization(X) & (~has_immunity(X, T0)) & (~has_immunity(X, T))) & greater(capability(X, T), capability(X, T0))) <=> (organization(X) & (~has_immunity(X, T0)) & (~has_immunity(X, T)) & greater(capability(X, T), capability(X, T0)))), ((((organization(X) & (~has_immunity(X, T0))) & (~has_immunity(X, T))) & greater(capability(X, T), capability(X, T0))) <=> (organization(X) & (~has_immunity(X, T0)) & (~has_immunity(X, T)) & greater(capability(X, T), capability(X, T0))))), (((((organization(X) & (~has_immunity(X, T0))) & (~has_immunity(X, T))) & greater(capability(X, T), capability(X, T0))) => greater(hazard_of_mortality(X, T0), hazard_of_mortality(X, T))) <=> ((organization(X) & (~has_immunity(X, T0)) & (~has_immunity(X, T)) & greater(capability(X, T), capability(X, T0))) => greater(hazard_of_mortality(X, T0), hazard_of_mortality(X, T))))), rewrite(((organization(X) & (~has_immunity(X, T0)) & (~has_immunity(X, T)) & greater(capability(X, T), capability(X, T0))) => greater(hazard_of_mortality(X, T0), hazard_of_mortality(X, T))) <=> ((~(organization(X) & (~has_immunity(X, T0)) & (~has_immunity(X, T)) & greater(capability(X, T), capability(X, T0)))) | greater(hazard_of_mortality(X, T0), hazard_of_mortality(X, T)))), (((((organization(X) & (~has_immunity(X, T0))) & (~has_immunity(X, T))) & greater(capability(X, T), capability(X, T0))) => greater(hazard_of_mortality(X, T0), hazard_of_mortality(X, T))) <=> ((~(organization(X) & (~has_immunity(X, T0)) & (~has_immunity(X, T)) & greater(capability(X, T), capability(X, T0)))) | greater(hazard_of_mortality(X, T0), hazard_of_mortality(X, T)))))),
% 0.60/0.63 inference(bind,[status(th)],[])).
% 0.60/0.63 tff(217,plain,
% 0.60/0.63 (![X: $i, T0: $i, T: $i] : ((((organization(X) & (~has_immunity(X, T0))) & (~has_immunity(X, T))) & greater(capability(X, T), capability(X, T0))) => greater(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)) & greater(capability(X, T), capability(X, T0)))) | greater(hazard_of_mortality(X, T0), hazard_of_mortality(X, T)))),
% 0.60/0.63 inference(quant_intro,[status(thm)],[216])).
% 0.60/0.63 tff(218,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(hazard_of_mortality(X, T0), hazard_of_mortality(X, T)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','assumption_16')).
% 0.60/0.63 tff(219,plain,
% 0.60/0.63 (![X: $i, T0: $i, T: $i] : ((~(organization(X) & (~has_immunity(X, T0)) & (~has_immunity(X, T)) & greater(capability(X, T), capability(X, T0)))) | greater(hazard_of_mortality(X, T0), hazard_of_mortality(X, T)))),
% 0.60/0.63 inference(modus_ponens,[status(thm)],[218, 217])).
% 0.60/0.63 tff(220,plain,
% 0.60/0.63 (![X: $i, T0: $i, T: $i] : ((~(organization(X) & (~has_immunity(X, T0)) & (~has_immunity(X, T)) & greater(capability(X, T), capability(X, T0)))) | greater(hazard_of_mortality(X, T0), hazard_of_mortality(X, T)))),
% 0.60/0.63 inference(modus_ponens,[status(thm)],[219, 215])).
% 0.60/0.63 tff(221,plain,(
% 0.60/0.63 ![X: $i, T0: $i, T: $i] : ((~(organization(X) & (~has_immunity(X, T0)) & (~has_immunity(X, T)) & greater(capability(X, T), capability(X, T0)))) | greater(hazard_of_mortality(X, T0), hazard_of_mortality(X, T)))),
% 0.60/0.63 inference(skolemize,[status(sab)],[220])).
% 0.60/0.63 tff(222,plain,
% 0.60/0.63 (![X: $i, T0: $i, T: $i] : (has_immunity(X, T) | has_immunity(X, T0) | greater(hazard_of_mortality(X, T0), hazard_of_mortality(X, T)) | (~organization(X)) | (~greater(capability(X, T), capability(X, T0))))),
% 0.60/0.63 inference(modus_ponens,[status(thm)],[221, 214])).
% 0.60/0.63 tff(223,plain,
% 0.60/0.63 (![X: $i, T0: $i, T: $i] : (has_immunity(X, T) | has_immunity(X, T0) | greater(hazard_of_mortality(X, T0), hazard_of_mortality(X, T)) | (~organization(X)) | (~greater(capability(X, T), capability(X, T0))))),
% 0.60/0.63 inference(modus_ponens,[status(thm)],[222, 212])).
% 0.60/0.63 tff(224,plain,
% 0.60/0.63 (((~![X: $i, T0: $i, T: $i] : (has_immunity(X, T) | has_immunity(X, T0) | greater(hazard_of_mortality(X, T0), hazard_of_mortality(X, T)) | (~organization(X)) | (~greater(capability(X, T), capability(X, T0))))) | (greater(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2)) | (~organization(X!5)) | has_immunity(X!5, T2!2) | has_immunity(X!5, T3!1) | (~greater(capability(X!5, T2!2), capability(X!5, T3!1))))) <=> ((~![X: $i, T0: $i, T: $i] : (has_immunity(X, T) | has_immunity(X, T0) | greater(hazard_of_mortality(X, T0), hazard_of_mortality(X, T)) | (~organization(X)) | (~greater(capability(X, T), capability(X, T0))))) | greater(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2)) | (~organization(X!5)) | has_immunity(X!5, T2!2) | has_immunity(X!5, T3!1) | (~greater(capability(X!5, T2!2), capability(X!5, T3!1))))),
% 0.60/0.64 inference(rewrite,[status(thm)],[])).
% 0.60/0.64 tff(225,plain,
% 0.60/0.64 ((has_immunity(X!5, T2!2) | has_immunity(X!5, T3!1) | greater(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2)) | (~organization(X!5)) | (~greater(capability(X!5, T2!2), capability(X!5, T3!1)))) <=> (greater(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2)) | (~organization(X!5)) | has_immunity(X!5, T2!2) | has_immunity(X!5, T3!1) | (~greater(capability(X!5, T2!2), capability(X!5, T3!1))))),
% 0.60/0.64 inference(rewrite,[status(thm)],[])).
% 0.60/0.64 tff(226,plain,
% 0.60/0.64 (((~![X: $i, T0: $i, T: $i] : (has_immunity(X, T) | has_immunity(X, T0) | greater(hazard_of_mortality(X, T0), hazard_of_mortality(X, T)) | (~organization(X)) | (~greater(capability(X, T), capability(X, T0))))) | (has_immunity(X!5, T2!2) | has_immunity(X!5, T3!1) | greater(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2)) | (~organization(X!5)) | (~greater(capability(X!5, T2!2), capability(X!5, T3!1))))) <=> ((~![X: $i, T0: $i, T: $i] : (has_immunity(X, T) | has_immunity(X, T0) | greater(hazard_of_mortality(X, T0), hazard_of_mortality(X, T)) | (~organization(X)) | (~greater(capability(X, T), capability(X, T0))))) | (greater(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2)) | (~organization(X!5)) | has_immunity(X!5, T2!2) | has_immunity(X!5, T3!1) | (~greater(capability(X!5, T2!2), capability(X!5, T3!1)))))),
% 0.60/0.64 inference(monotonicity,[status(thm)],[225])).
% 0.60/0.64 tff(227,plain,
% 0.60/0.64 (((~![X: $i, T0: $i, T: $i] : (has_immunity(X, T) | has_immunity(X, T0) | greater(hazard_of_mortality(X, T0), hazard_of_mortality(X, T)) | (~organization(X)) | (~greater(capability(X, T), capability(X, T0))))) | (has_immunity(X!5, T2!2) | has_immunity(X!5, T3!1) | greater(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2)) | (~organization(X!5)) | (~greater(capability(X!5, T2!2), capability(X!5, T3!1))))) <=> ((~![X: $i, T0: $i, T: $i] : (has_immunity(X, T) | has_immunity(X, T0) | greater(hazard_of_mortality(X, T0), hazard_of_mortality(X, T)) | (~organization(X)) | (~greater(capability(X, T), capability(X, T0))))) | greater(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2)) | (~organization(X!5)) | has_immunity(X!5, T2!2) | has_immunity(X!5, T3!1) | (~greater(capability(X!5, T2!2), capability(X!5, T3!1))))),
% 0.60/0.64 inference(transitivity,[status(thm)],[226, 224])).
% 0.60/0.64 tff(228,plain,
% 0.60/0.64 ((~![X: $i, T0: $i, T: $i] : (has_immunity(X, T) | has_immunity(X, T0) | greater(hazard_of_mortality(X, T0), hazard_of_mortality(X, T)) | (~organization(X)) | (~greater(capability(X, T), capability(X, T0))))) | (has_immunity(X!5, T2!2) | has_immunity(X!5, T3!1) | greater(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2)) | (~organization(X!5)) | (~greater(capability(X!5, T2!2), capability(X!5, T3!1))))),
% 0.60/0.64 inference(quant_inst,[status(thm)],[])).
% 0.60/0.64 tff(229,plain,
% 0.60/0.64 ((~![X: $i, T0: $i, T: $i] : (has_immunity(X, T) | has_immunity(X, T0) | greater(hazard_of_mortality(X, T0), hazard_of_mortality(X, T)) | (~organization(X)) | (~greater(capability(X, T), capability(X, T0))))) | greater(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2)) | (~organization(X!5)) | has_immunity(X!5, T2!2) | has_immunity(X!5, T3!1) | (~greater(capability(X!5, T2!2), capability(X!5, T3!1)))),
% 0.60/0.64 inference(modus_ponens,[status(thm)],[228, 227])).
% 0.60/0.64 tff(230,plain,
% 0.60/0.64 (~greater(capability(X!5, T2!2), capability(X!5, T3!1))),
% 0.60/0.64 inference(unit_resolution,[status(thm)],[229, 223, 23, 210, 118, 110])).
% 0.60/0.64 tff(231,plain,
% 0.60/0.64 ((~![X: $i, T0: $i, T: $i] : (dissimilar(X, T0, T) <=> (~((~organization(X)) | (is_aligned(X, T0) <=> is_aligned(X, T)))))) | (dissimilar(X!5, T0!4, T3!1) <=> (~((~organization(X!5)) | (is_aligned(X!5, T0!4) <=> is_aligned(X!5, T3!1)))))),
% 0.60/0.64 inference(quant_inst,[status(thm)],[])).
% 0.60/0.64 tff(232,plain,
% 0.60/0.64 (dissimilar(X!5, T0!4, T3!1) <=> (~((~organization(X!5)) | (is_aligned(X!5, T0!4) <=> is_aligned(X!5, T3!1))))),
% 0.60/0.64 inference(unit_resolution,[status(thm)],[231, 56])).
% 0.60/0.64 tff(233,plain,
% 0.60/0.64 (((~![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))) | ((~organization(X!5)) | (~(age(X!5, T0!4) = zero)) | (greater(age(X!5, T3!1), sigma) <=> dissimilar(X!5, T0!4, T3!1)))) <=> ((~![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))) | (~organization(X!5)) | (~(age(X!5, T0!4) = zero)) | (greater(age(X!5, T3!1), sigma) <=> dissimilar(X!5, T0!4, T3!1)))),
% 0.60/0.64 inference(rewrite,[status(thm)],[])).
% 0.60/0.64 tff(234,plain,
% 0.60/0.64 (((greater(age(X!5, T3!1), sigma) <=> dissimilar(X!5, T0!4, T3!1)) | (~organization(X!5)) | (~(age(X!5, T0!4) = zero))) <=> ((~organization(X!5)) | (~(age(X!5, T0!4) = zero)) | (greater(age(X!5, T3!1), sigma) <=> dissimilar(X!5, T0!4, T3!1)))),
% 0.60/0.64 inference(rewrite,[status(thm)],[])).
% 0.60/0.64 tff(235,plain,
% 0.60/0.64 (((~![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))) | ((greater(age(X!5, T3!1), sigma) <=> dissimilar(X!5, T0!4, T3!1)) | (~organization(X!5)) | (~(age(X!5, T0!4) = zero)))) <=> ((~![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))) | ((~organization(X!5)) | (~(age(X!5, T0!4) = zero)) | (greater(age(X!5, T3!1), sigma) <=> dissimilar(X!5, T0!4, T3!1))))),
% 0.60/0.64 inference(monotonicity,[status(thm)],[234])).
% 0.60/0.64 tff(236,plain,
% 0.60/0.64 (((~![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))) | ((greater(age(X!5, T3!1), sigma) <=> dissimilar(X!5, T0!4, T3!1)) | (~organization(X!5)) | (~(age(X!5, T0!4) = zero)))) <=> ((~![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))) | (~organization(X!5)) | (~(age(X!5, T0!4) = zero)) | (greater(age(X!5, T3!1), sigma) <=> dissimilar(X!5, T0!4, T3!1)))),
% 0.60/0.64 inference(transitivity,[status(thm)],[235, 233])).
% 0.60/0.64 tff(237,plain,
% 0.60/0.64 ((~![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))) | ((greater(age(X!5, T3!1), sigma) <=> dissimilar(X!5, T0!4, T3!1)) | (~organization(X!5)) | (~(age(X!5, T0!4) = zero)))),
% 0.60/0.64 inference(quant_inst,[status(thm)],[])).
% 0.60/0.64 tff(238,plain,
% 0.60/0.64 ((~![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))) | (~organization(X!5)) | (~(age(X!5, T0!4) = zero)) | (greater(age(X!5, T3!1), sigma) <=> dissimilar(X!5, T0!4, T3!1))),
% 0.60/0.64 inference(modus_ponens,[status(thm)],[237, 236])).
% 0.60/0.64 tff(239,plain,
% 0.60/0.64 (greater(age(X!5, T3!1), sigma) <=> dissimilar(X!5, T0!4, T3!1)),
% 0.60/0.64 inference(unit_resolution,[status(thm)],[238, 36, 23, 22])).
% 0.60/0.64 tff(240,plain,
% 0.60/0.64 ((~(greater(age(X!5, T3!1), sigma) <=> dissimilar(X!5, T0!4, T3!1))) | (~greater(age(X!5, T3!1), sigma)) | dissimilar(X!5, T0!4, T3!1)),
% 0.60/0.64 inference(tautology,[status(thm)],[])).
% 0.60/0.64 tff(241,plain,
% 0.60/0.64 ((~(greater(age(X!5, T3!1), sigma) <=> dissimilar(X!5, T0!4, T3!1))) | dissimilar(X!5, T0!4, T3!1)),
% 0.60/0.64 inference(unit_resolution,[status(thm)],[240, 91])).
% 0.60/0.64 tff(242,plain,
% 0.60/0.64 (dissimilar(X!5, T0!4, T3!1)),
% 0.60/0.64 inference(unit_resolution,[status(thm)],[241, 239])).
% 0.60/0.64 tff(243,plain,
% 0.60/0.64 ((~(dissimilar(X!5, T0!4, T3!1) <=> (~((~organization(X!5)) | (is_aligned(X!5, T0!4) <=> is_aligned(X!5, T3!1)))))) | (~dissimilar(X!5, T0!4, T3!1)) | (~((~organization(X!5)) | (is_aligned(X!5, T0!4) <=> is_aligned(X!5, T3!1))))),
% 0.60/0.64 inference(tautology,[status(thm)],[])).
% 0.60/0.64 tff(244,plain,
% 0.60/0.64 ((~(dissimilar(X!5, T0!4, T3!1) <=> (~((~organization(X!5)) | (is_aligned(X!5, T0!4) <=> is_aligned(X!5, T3!1)))))) | (~((~organization(X!5)) | (is_aligned(X!5, T0!4) <=> is_aligned(X!5, T3!1))))),
% 0.60/0.64 inference(unit_resolution,[status(thm)],[243, 242])).
% 0.60/0.64 tff(245,plain,
% 0.60/0.64 (~((~organization(X!5)) | (is_aligned(X!5, T0!4) <=> is_aligned(X!5, T3!1)))),
% 0.60/0.64 inference(unit_resolution,[status(thm)],[244, 232])).
% 0.60/0.64 tff(246,plain,
% 0.60/0.64 (((~organization(X!5)) | (is_aligned(X!5, T0!4) <=> is_aligned(X!5, T3!1))) | (~(is_aligned(X!5, T0!4) <=> is_aligned(X!5, T3!1)))),
% 0.60/0.64 inference(tautology,[status(thm)],[])).
% 0.60/0.64 tff(247,plain,
% 0.60/0.64 (~(is_aligned(X!5, T0!4) <=> is_aligned(X!5, T3!1))),
% 0.60/0.64 inference(unit_resolution,[status(thm)],[246, 245])).
% 0.60/0.64 tff(248,plain,
% 0.60/0.64 (^[X: $i, T: $i] : refl((is_aligned(X, T) | (~organization(X)) | (~(age(X, T) = zero))) <=> (is_aligned(X, T) | (~organization(X)) | (~(age(X, T) = zero))))),
% 0.60/0.64 inference(bind,[status(th)],[])).
% 0.60/0.64 tff(249,plain,
% 0.60/0.64 (![X: $i, T: $i] : (is_aligned(X, T) | (~organization(X)) | (~(age(X, T) = zero))) <=> ![X: $i, T: $i] : (is_aligned(X, T) | (~organization(X)) | (~(age(X, T) = zero)))),
% 0.60/0.64 inference(quant_intro,[status(thm)],[248])).
% 0.60/0.64 tff(250,plain,
% 0.60/0.64 (^[X: $i, T: $i] : trans(monotonicity(trans(monotonicity(rewrite((organization(X) & (age(X, T) = zero)) <=> (~((~organization(X)) | (~(age(X, T) = zero))))), ((~(organization(X) & (age(X, T) = zero))) <=> (~(~((~organization(X)) | (~(age(X, T) = zero))))))), rewrite((~(~((~organization(X)) | (~(age(X, T) = zero))))) <=> ((~organization(X)) | (~(age(X, T) = zero)))), ((~(organization(X) & (age(X, T) = zero))) <=> ((~organization(X)) | (~(age(X, T) = zero))))), (((~(organization(X) & (age(X, T) = zero))) | is_aligned(X, T)) <=> (((~organization(X)) | (~(age(X, T) = zero))) | is_aligned(X, T)))), rewrite((((~organization(X)) | (~(age(X, T) = zero))) | is_aligned(X, T)) <=> (is_aligned(X, T) | (~organization(X)) | (~(age(X, T) = zero)))), (((~(organization(X) & (age(X, T) = zero))) | is_aligned(X, T)) <=> (is_aligned(X, T) | (~organization(X)) | (~(age(X, T) = zero)))))),
% 0.60/0.64 inference(bind,[status(th)],[])).
% 0.60/0.64 tff(251,plain,
% 0.60/0.64 (![X: $i, T: $i] : ((~(organization(X) & (age(X, T) = zero))) | is_aligned(X, T)) <=> ![X: $i, T: $i] : (is_aligned(X, T) | (~organization(X)) | (~(age(X, T) = zero)))),
% 0.60/0.64 inference(quant_intro,[status(thm)],[250])).
% 0.60/0.64 tff(252,plain,
% 0.60/0.64 (![X: $i, T: $i] : ((~(organization(X) & (age(X, T) = zero))) | is_aligned(X, T)) <=> ![X: $i, T: $i] : ((~(organization(X) & (age(X, T) = zero))) | is_aligned(X, T))),
% 0.60/0.64 inference(rewrite,[status(thm)],[])).
% 0.60/0.64 tff(253,plain,
% 0.60/0.64 (^[X: $i, T: $i] : rewrite(((organization(X) & (age(X, T) = zero)) => is_aligned(X, T)) <=> ((~(organization(X) & (age(X, T) = zero))) | is_aligned(X, T)))),
% 0.60/0.64 inference(bind,[status(th)],[])).
% 0.60/0.64 tff(254,plain,
% 0.60/0.64 (![X: $i, T: $i] : ((organization(X) & (age(X, T) = zero)) => is_aligned(X, T)) <=> ![X: $i, T: $i] : ((~(organization(X) & (age(X, T) = zero))) | is_aligned(X, T))),
% 0.60/0.64 inference(quant_intro,[status(thm)],[253])).
% 0.60/0.64 tff(255,axiom,(![X: $i, T: $i] : ((organization(X) & (age(X, T) = zero)) => is_aligned(X, T))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','assumption_13')).
% 0.60/0.64 tff(256,plain,
% 0.60/0.64 (![X: $i, T: $i] : ((~(organization(X) & (age(X, T) = zero))) | is_aligned(X, T))),
% 0.60/0.64 inference(modus_ponens,[status(thm)],[255, 254])).
% 0.60/0.64 tff(257,plain,
% 0.60/0.64 (![X: $i, T: $i] : ((~(organization(X) & (age(X, T) = zero))) | is_aligned(X, T))),
% 0.60/0.64 inference(modus_ponens,[status(thm)],[256, 252])).
% 0.60/0.64 tff(258,plain,(
% 0.60/0.64 ![X: $i, T: $i] : ((~(organization(X) & (age(X, T) = zero))) | is_aligned(X, T))),
% 0.60/0.64 inference(skolemize,[status(sab)],[257])).
% 0.60/0.64 tff(259,plain,
% 0.60/0.64 (![X: $i, T: $i] : (is_aligned(X, T) | (~organization(X)) | (~(age(X, T) = zero)))),
% 0.60/0.64 inference(modus_ponens,[status(thm)],[258, 251])).
% 0.60/0.64 tff(260,plain,
% 0.60/0.64 (![X: $i, T: $i] : (is_aligned(X, T) | (~organization(X)) | (~(age(X, T) = zero)))),
% 0.60/0.64 inference(modus_ponens,[status(thm)],[259, 249])).
% 0.60/0.64 tff(261,plain,
% 0.60/0.64 (((~![X: $i, T: $i] : (is_aligned(X, T) | (~organization(X)) | (~(age(X, T) = zero)))) | ((~organization(X!5)) | is_aligned(X!5, T0!4) | (~(age(X!5, T0!4) = zero)))) <=> ((~![X: $i, T: $i] : (is_aligned(X, T) | (~organization(X)) | (~(age(X, T) = zero)))) | (~organization(X!5)) | is_aligned(X!5, T0!4) | (~(age(X!5, T0!4) = zero)))),
% 0.60/0.64 inference(rewrite,[status(thm)],[])).
% 0.60/0.64 tff(262,plain,
% 0.60/0.64 ((is_aligned(X!5, T0!4) | (~organization(X!5)) | (~(age(X!5, T0!4) = zero))) <=> ((~organization(X!5)) | is_aligned(X!5, T0!4) | (~(age(X!5, T0!4) = zero)))),
% 0.60/0.64 inference(rewrite,[status(thm)],[])).
% 0.60/0.64 tff(263,plain,
% 0.60/0.64 (((~![X: $i, T: $i] : (is_aligned(X, T) | (~organization(X)) | (~(age(X, T) = zero)))) | (is_aligned(X!5, T0!4) | (~organization(X!5)) | (~(age(X!5, T0!4) = zero)))) <=> ((~![X: $i, T: $i] : (is_aligned(X, T) | (~organization(X)) | (~(age(X, T) = zero)))) | ((~organization(X!5)) | is_aligned(X!5, T0!4) | (~(age(X!5, T0!4) = zero))))),
% 0.60/0.64 inference(monotonicity,[status(thm)],[262])).
% 0.60/0.64 tff(264,plain,
% 0.60/0.64 (((~![X: $i, T: $i] : (is_aligned(X, T) | (~organization(X)) | (~(age(X, T) = zero)))) | (is_aligned(X!5, T0!4) | (~organization(X!5)) | (~(age(X!5, T0!4) = zero)))) <=> ((~![X: $i, T: $i] : (is_aligned(X, T) | (~organization(X)) | (~(age(X, T) = zero)))) | (~organization(X!5)) | is_aligned(X!5, T0!4) | (~(age(X!5, T0!4) = zero)))),
% 0.60/0.64 inference(transitivity,[status(thm)],[263, 261])).
% 0.60/0.64 tff(265,plain,
% 0.60/0.64 ((~![X: $i, T: $i] : (is_aligned(X, T) | (~organization(X)) | (~(age(X, T) = zero)))) | (is_aligned(X!5, T0!4) | (~organization(X!5)) | (~(age(X!5, T0!4) = zero)))),
% 0.60/0.64 inference(quant_inst,[status(thm)],[])).
% 0.60/0.64 tff(266,plain,
% 0.60/0.64 ((~![X: $i, T: $i] : (is_aligned(X, T) | (~organization(X)) | (~(age(X, T) = zero)))) | (~organization(X!5)) | is_aligned(X!5, T0!4) | (~(age(X!5, T0!4) = zero))),
% 0.60/0.64 inference(modus_ponens,[status(thm)],[265, 264])).
% 0.60/0.64 tff(267,plain,
% 0.60/0.64 (is_aligned(X!5, T0!4)),
% 0.60/0.64 inference(unit_resolution,[status(thm)],[266, 260, 23, 22])).
% 0.60/0.64 tff(268,plain,
% 0.60/0.64 ((is_aligned(X!5, T0!4) <=> is_aligned(X!5, T3!1)) | (~is_aligned(X!5, T0!4)) | (~is_aligned(X!5, T3!1))),
% 0.60/0.64 inference(tautology,[status(thm)],[])).
% 0.60/0.64 tff(269,plain,
% 0.60/0.64 ((is_aligned(X!5, T0!4) <=> is_aligned(X!5, T3!1)) | (~is_aligned(X!5, T3!1))),
% 0.60/0.64 inference(unit_resolution,[status(thm)],[268, 267])).
% 0.60/0.64 tff(270,plain,
% 0.60/0.64 (~is_aligned(X!5, T3!1)),
% 0.60/0.64 inference(unit_resolution,[status(thm)],[269, 247])).
% 0.60/0.64 tff(271,plain,
% 0.60/0.64 (^[X: $i, T0: $i, T: $i] : refl((is_aligned(X, T) | greater(capability(X, T0), capability(X, T)) | (~is_aligned(X, T0)) | (~organization(X))) <=> (is_aligned(X, T) | greater(capability(X, T0), capability(X, T)) | (~is_aligned(X, T0)) | (~organization(X))))),
% 0.60/0.64 inference(bind,[status(th)],[])).
% 0.60/0.64 tff(272,plain,
% 0.60/0.64 (![X: $i, T0: $i, T: $i] : (is_aligned(X, T) | greater(capability(X, T0), capability(X, T)) | (~is_aligned(X, T0)) | (~organization(X))) <=> ![X: $i, T0: $i, T: $i] : (is_aligned(X, T) | greater(capability(X, T0), capability(X, T)) | (~is_aligned(X, T0)) | (~organization(X)))),
% 0.60/0.64 inference(quant_intro,[status(thm)],[271])).
% 0.60/0.64 tff(273,plain,
% 0.60/0.64 (^[X: $i, T0: $i, T: $i] : trans(monotonicity(trans(monotonicity(rewrite((organization(X) & is_aligned(X, T0) & (~is_aligned(X, T))) <=> (~((~organization(X)) | (~is_aligned(X, T0)) | is_aligned(X, T)))), ((~(organization(X) & is_aligned(X, T0) & (~is_aligned(X, T)))) <=> (~(~((~organization(X)) | (~is_aligned(X, T0)) | is_aligned(X, T)))))), rewrite((~(~((~organization(X)) | (~is_aligned(X, T0)) | is_aligned(X, T)))) <=> ((~organization(X)) | (~is_aligned(X, T0)) | is_aligned(X, T))), ((~(organization(X) & is_aligned(X, T0) & (~is_aligned(X, T)))) <=> ((~organization(X)) | (~is_aligned(X, T0)) | is_aligned(X, T)))), (((~(organization(X) & is_aligned(X, T0) & (~is_aligned(X, T)))) | greater(capability(X, T0), capability(X, T))) <=> (((~organization(X)) | (~is_aligned(X, T0)) | is_aligned(X, T)) | greater(capability(X, T0), capability(X, T))))), rewrite((((~organization(X)) | (~is_aligned(X, T0)) | is_aligned(X, T)) | greater(capability(X, T0), capability(X, T))) <=> (is_aligned(X, T) | greater(capability(X, T0), capability(X, T)) | (~is_aligned(X, T0)) | (~organization(X)))), (((~(organization(X) & is_aligned(X, T0) & (~is_aligned(X, T)))) | greater(capability(X, T0), capability(X, T))) <=> (is_aligned(X, T) | greater(capability(X, T0), capability(X, T)) | (~is_aligned(X, T0)) | (~organization(X)))))),
% 0.60/0.65 inference(bind,[status(th)],[])).
% 0.60/0.65 tff(274,plain,
% 0.60/0.65 (![X: $i, T0: $i, T: $i] : ((~(organization(X) & is_aligned(X, T0) & (~is_aligned(X, T)))) | greater(capability(X, T0), capability(X, T))) <=> ![X: $i, T0: $i, T: $i] : (is_aligned(X, T) | greater(capability(X, T0), capability(X, T)) | (~is_aligned(X, T0)) | (~organization(X)))),
% 0.60/0.65 inference(quant_intro,[status(thm)],[273])).
% 0.60/0.65 tff(275,plain,
% 0.60/0.65 (![X: $i, T0: $i, T: $i] : ((~(organization(X) & is_aligned(X, T0) & (~is_aligned(X, T)))) | greater(capability(X, T0), capability(X, T))) <=> ![X: $i, T0: $i, T: $i] : ((~(organization(X) & is_aligned(X, T0) & (~is_aligned(X, T)))) | greater(capability(X, T0), capability(X, T)))),
% 0.60/0.65 inference(rewrite,[status(thm)],[])).
% 0.60/0.65 tff(276,plain,
% 0.60/0.65 (^[X: $i, T0: $i, T: $i] : trans(monotonicity(rewrite(((organization(X) & is_aligned(X, T0)) & (~is_aligned(X, T))) <=> (organization(X) & is_aligned(X, T0) & (~is_aligned(X, T)))), ((((organization(X) & is_aligned(X, T0)) & (~is_aligned(X, T))) => greater(capability(X, T0), capability(X, T))) <=> ((organization(X) & is_aligned(X, T0) & (~is_aligned(X, T))) => greater(capability(X, T0), capability(X, T))))), rewrite(((organization(X) & is_aligned(X, T0) & (~is_aligned(X, T))) => greater(capability(X, T0), capability(X, T))) <=> ((~(organization(X) & is_aligned(X, T0) & (~is_aligned(X, T)))) | greater(capability(X, T0), capability(X, T)))), ((((organization(X) & is_aligned(X, T0)) & (~is_aligned(X, T))) => greater(capability(X, T0), capability(X, T))) <=> ((~(organization(X) & is_aligned(X, T0) & (~is_aligned(X, T)))) | greater(capability(X, T0), capability(X, T)))))),
% 0.60/0.65 inference(bind,[status(th)],[])).
% 0.60/0.65 tff(277,plain,
% 0.60/0.65 (![X: $i, T0: $i, T: $i] : (((organization(X) & is_aligned(X, T0)) & (~is_aligned(X, T))) => greater(capability(X, T0), capability(X, T))) <=> ![X: $i, T0: $i, T: $i] : ((~(organization(X) & is_aligned(X, T0) & (~is_aligned(X, T)))) | greater(capability(X, T0), capability(X, T)))),
% 0.60/0.65 inference(quant_intro,[status(thm)],[276])).
% 0.60/0.65 tff(278,axiom,(![X: $i, T0: $i, T: $i] : (((organization(X) & is_aligned(X, T0)) & (~is_aligned(X, T))) => greater(capability(X, T0), capability(X, T)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','assumption_14')).
% 0.60/0.65 tff(279,plain,
% 0.60/0.65 (![X: $i, T0: $i, T: $i] : ((~(organization(X) & is_aligned(X, T0) & (~is_aligned(X, T)))) | greater(capability(X, T0), capability(X, T)))),
% 0.60/0.65 inference(modus_ponens,[status(thm)],[278, 277])).
% 0.60/0.65 tff(280,plain,
% 0.60/0.65 (![X: $i, T0: $i, T: $i] : ((~(organization(X) & is_aligned(X, T0) & (~is_aligned(X, T)))) | greater(capability(X, T0), capability(X, T)))),
% 0.60/0.65 inference(modus_ponens,[status(thm)],[279, 275])).
% 0.60/0.65 tff(281,plain,(
% 0.60/0.65 ![X: $i, T0: $i, T: $i] : ((~(organization(X) & is_aligned(X, T0) & (~is_aligned(X, T)))) | greater(capability(X, T0), capability(X, T)))),
% 0.60/0.65 inference(skolemize,[status(sab)],[280])).
% 0.60/0.65 tff(282,plain,
% 0.60/0.65 (![X: $i, T0: $i, T: $i] : (is_aligned(X, T) | greater(capability(X, T0), capability(X, T)) | (~is_aligned(X, T0)) | (~organization(X)))),
% 0.60/0.65 inference(modus_ponens,[status(thm)],[281, 274])).
% 0.60/0.65 tff(283,plain,
% 0.60/0.65 (![X: $i, T0: $i, T: $i] : (is_aligned(X, T) | greater(capability(X, T0), capability(X, T)) | (~is_aligned(X, T0)) | (~organization(X)))),
% 0.60/0.65 inference(modus_ponens,[status(thm)],[282, 272])).
% 0.60/0.65 tff(284,plain,
% 0.60/0.65 (((~![X: $i, T0: $i, T: $i] : (is_aligned(X, T) | greater(capability(X, T0), capability(X, T)) | (~is_aligned(X, T0)) | (~organization(X)))) | ((~organization(X!5)) | is_aligned(X!5, T3!1) | greater(capability(X!5, T2!2), capability(X!5, T3!1)) | (~is_aligned(X!5, T2!2)))) <=> ((~![X: $i, T0: $i, T: $i] : (is_aligned(X, T) | greater(capability(X, T0), capability(X, T)) | (~is_aligned(X, T0)) | (~organization(X)))) | (~organization(X!5)) | is_aligned(X!5, T3!1) | greater(capability(X!5, T2!2), capability(X!5, T3!1)) | (~is_aligned(X!5, T2!2)))),
% 0.60/0.65 inference(rewrite,[status(thm)],[])).
% 0.60/0.65 tff(285,plain,
% 0.60/0.65 ((is_aligned(X!5, T3!1) | greater(capability(X!5, T2!2), capability(X!5, T3!1)) | (~is_aligned(X!5, T2!2)) | (~organization(X!5))) <=> ((~organization(X!5)) | is_aligned(X!5, T3!1) | greater(capability(X!5, T2!2), capability(X!5, T3!1)) | (~is_aligned(X!5, T2!2)))),
% 0.60/0.65 inference(rewrite,[status(thm)],[])).
% 0.60/0.65 tff(286,plain,
% 0.60/0.65 (((~![X: $i, T0: $i, T: $i] : (is_aligned(X, T) | greater(capability(X, T0), capability(X, T)) | (~is_aligned(X, T0)) | (~organization(X)))) | (is_aligned(X!5, T3!1) | greater(capability(X!5, T2!2), capability(X!5, T3!1)) | (~is_aligned(X!5, T2!2)) | (~organization(X!5)))) <=> ((~![X: $i, T0: $i, T: $i] : (is_aligned(X, T) | greater(capability(X, T0), capability(X, T)) | (~is_aligned(X, T0)) | (~organization(X)))) | ((~organization(X!5)) | is_aligned(X!5, T3!1) | greater(capability(X!5, T2!2), capability(X!5, T3!1)) | (~is_aligned(X!5, T2!2))))),
% 0.60/0.65 inference(monotonicity,[status(thm)],[285])).
% 0.60/0.65 tff(287,plain,
% 0.60/0.65 (((~![X: $i, T0: $i, T: $i] : (is_aligned(X, T) | greater(capability(X, T0), capability(X, T)) | (~is_aligned(X, T0)) | (~organization(X)))) | (is_aligned(X!5, T3!1) | greater(capability(X!5, T2!2), capability(X!5, T3!1)) | (~is_aligned(X!5, T2!2)) | (~organization(X!5)))) <=> ((~![X: $i, T0: $i, T: $i] : (is_aligned(X, T) | greater(capability(X, T0), capability(X, T)) | (~is_aligned(X, T0)) | (~organization(X)))) | (~organization(X!5)) | is_aligned(X!5, T3!1) | greater(capability(X!5, T2!2), capability(X!5, T3!1)) | (~is_aligned(X!5, T2!2)))),
% 0.60/0.65 inference(transitivity,[status(thm)],[286, 284])).
% 0.60/0.65 tff(288,plain,
% 0.60/0.65 ((~![X: $i, T0: $i, T: $i] : (is_aligned(X, T) | greater(capability(X, T0), capability(X, T)) | (~is_aligned(X, T0)) | (~organization(X)))) | (is_aligned(X!5, T3!1) | greater(capability(X!5, T2!2), capability(X!5, T3!1)) | (~is_aligned(X!5, T2!2)) | (~organization(X!5)))),
% 0.60/0.65 inference(quant_inst,[status(thm)],[])).
% 0.60/0.65 tff(289,plain,
% 0.60/0.65 ((~![X: $i, T0: $i, T: $i] : (is_aligned(X, T) | greater(capability(X, T0), capability(X, T)) | (~is_aligned(X, T0)) | (~organization(X)))) | (~organization(X!5)) | is_aligned(X!5, T3!1) | greater(capability(X!5, T2!2), capability(X!5, T3!1)) | (~is_aligned(X!5, T2!2))),
% 0.60/0.65 inference(modus_ponens,[status(thm)],[288, 287])).
% 0.60/0.65 tff(290,plain,
% 0.60/0.65 (~is_aligned(X!5, T2!2)),
% 0.60/0.65 inference(unit_resolution,[status(thm)],[289, 283, 23, 270, 230])).
% 0.60/0.65 tff(291,plain,
% 0.60/0.65 ((~(is_aligned(X!5, T0!4) <=> is_aligned(X!5, T2!2))) | (~is_aligned(X!5, T0!4)) | is_aligned(X!5, T2!2)),
% 0.60/0.65 inference(tautology,[status(thm)],[])).
% 0.60/0.65 tff(292,plain,
% 0.60/0.65 (~(is_aligned(X!5, T0!4) <=> is_aligned(X!5, T2!2))),
% 0.60/0.65 inference(unit_resolution,[status(thm)],[291, 267, 290])).
% 0.60/0.65 tff(293,plain,
% 0.60/0.65 ((~((~organization(X!5)) | (is_aligned(X!5, T0!4) <=> is_aligned(X!5, T2!2)))) | (~organization(X!5)) | (is_aligned(X!5, T0!4) <=> is_aligned(X!5, T2!2))),
% 0.60/0.65 inference(tautology,[status(thm)],[])).
% 0.60/0.65 tff(294,plain,
% 0.60/0.65 (~((~organization(X!5)) | (is_aligned(X!5, T0!4) <=> is_aligned(X!5, T2!2)))),
% 0.60/0.65 inference(unit_resolution,[status(thm)],[293, 23, 292])).
% 0.60/0.65 tff(295,plain,
% 0.60/0.65 ((~(dissimilar(X!5, T0!4, T2!2) <=> (~((~organization(X!5)) | (is_aligned(X!5, T0!4) <=> is_aligned(X!5, T2!2)))))) | dissimilar(X!5, T0!4, T2!2) | ((~organization(X!5)) | (is_aligned(X!5, T0!4) <=> is_aligned(X!5, T2!2)))),
% 0.60/0.65 inference(tautology,[status(thm)],[])).
% 0.60/0.65 tff(296,plain,
% 0.60/0.65 ((~(dissimilar(X!5, T0!4, T2!2) <=> (~((~organization(X!5)) | (is_aligned(X!5, T0!4) <=> is_aligned(X!5, T2!2)))))) | dissimilar(X!5, T0!4, T2!2)),
% 0.60/0.65 inference(unit_resolution,[status(thm)],[295, 294])).
% 0.60/0.65 tff(297,plain,
% 0.60/0.65 (dissimilar(X!5, T0!4, T2!2)),
% 0.60/0.65 inference(unit_resolution,[status(thm)],[296, 58])).
% 0.60/0.65 tff(298,plain,
% 0.60/0.65 ((~(greater(age(X!5, T2!2), sigma) <=> dissimilar(X!5, T0!4, T2!2))) | greater(age(X!5, T2!2), sigma) | (~dissimilar(X!5, T0!4, T2!2))),
% 0.60/0.65 inference(tautology,[status(thm)],[])).
% 0.60/0.65 tff(299,plain,
% 0.60/0.65 ((~(greater(age(X!5, T2!2), sigma) <=> dissimilar(X!5, T0!4, T2!2))) | greater(age(X!5, T2!2), sigma)),
% 0.60/0.65 inference(unit_resolution,[status(thm)],[298, 297])).
% 0.60/0.65 tff(300,plain,
% 0.60/0.65 (greater(age(X!5, T2!2), sigma)),
% 0.60/0.65 inference(unit_resolution,[status(thm)],[299, 43])).
% 0.60/0.65 tff(301,plain,
% 0.60/0.65 (^[X: $i, Y: $i] : refl(((~greater(X, Y)) | (~greater(Y, X))) <=> ((~greater(X, Y)) | (~greater(Y, X))))),
% 0.60/0.65 inference(bind,[status(th)],[])).
% 0.60/0.65 tff(302,plain,
% 0.60/0.65 (![X: $i, Y: $i] : ((~greater(X, Y)) | (~greater(Y, X))) <=> ![X: $i, Y: $i] : ((~greater(X, Y)) | (~greater(Y, X)))),
% 0.60/0.65 inference(quant_intro,[status(thm)],[301])).
% 0.60/0.65 tff(303,plain,
% 0.60/0.65 (^[X: $i, Y: $i] : trans(monotonicity(rewrite((greater(X, Y) & greater(Y, X)) <=> (~((~greater(X, Y)) | (~greater(Y, X))))), ((~(greater(X, Y) & greater(Y, X))) <=> (~(~((~greater(X, Y)) | (~greater(Y, X))))))), rewrite((~(~((~greater(X, Y)) | (~greater(Y, X))))) <=> ((~greater(X, Y)) | (~greater(Y, X)))), ((~(greater(X, Y) & greater(Y, X))) <=> ((~greater(X, Y)) | (~greater(Y, X)))))),
% 0.60/0.65 inference(bind,[status(th)],[])).
% 0.60/0.65 tff(304,plain,
% 0.60/0.65 (![X: $i, Y: $i] : (~(greater(X, Y) & greater(Y, X))) <=> ![X: $i, Y: $i] : ((~greater(X, Y)) | (~greater(Y, X)))),
% 0.60/0.65 inference(quant_intro,[status(thm)],[303])).
% 0.60/0.65 tff(305,plain,
% 0.60/0.65 (![X: $i, Y: $i] : (~(greater(X, Y) & greater(Y, X))) <=> ![X: $i, Y: $i] : (~(greater(X, Y) & greater(Y, X)))),
% 0.60/0.65 inference(rewrite,[status(thm)],[])).
% 0.60/0.65 tff(306,axiom,(![X: $i, Y: $i] : (~(greater(X, Y) & greater(Y, X)))), file('/export/starexec/sandbox/benchmark/Axioms/MGT001+0.ax','meaning_postulate_greater_strict')).
% 0.60/0.65 tff(307,plain,
% 0.60/0.65 (![X: $i, Y: $i] : (~(greater(X, Y) & greater(Y, X)))),
% 0.60/0.65 inference(modus_ponens,[status(thm)],[306, 305])).
% 0.60/0.65 tff(308,plain,(
% 0.60/0.65 ![X: $i, Y: $i] : (~(greater(X, Y) & greater(Y, X)))),
% 0.60/0.65 inference(skolemize,[status(sab)],[307])).
% 0.60/0.65 tff(309,plain,
% 0.60/0.65 (![X: $i, Y: $i] : ((~greater(X, Y)) | (~greater(Y, X)))),
% 0.60/0.65 inference(modus_ponens,[status(thm)],[308, 304])).
% 0.60/0.65 tff(310,plain,
% 0.60/0.65 (![X: $i, Y: $i] : ((~greater(X, Y)) | (~greater(Y, X)))),
% 0.60/0.65 inference(modus_ponens,[status(thm)],[309, 302])).
% 0.60/0.65 tff(311,plain,
% 0.60/0.65 (((~![X: $i, Y: $i] : ((~greater(X, Y)) | (~greater(Y, X)))) | ((~greater(sigma, age(X!5, T2!2))) | (~greater(age(X!5, T2!2), sigma)))) <=> ((~![X: $i, Y: $i] : ((~greater(X, Y)) | (~greater(Y, X)))) | (~greater(sigma, age(X!5, T2!2))) | (~greater(age(X!5, T2!2), sigma)))),
% 0.60/0.65 inference(rewrite,[status(thm)],[])).
% 0.60/0.65 tff(312,plain,
% 0.60/0.65 ((~![X: $i, Y: $i] : ((~greater(X, Y)) | (~greater(Y, X)))) | ((~greater(sigma, age(X!5, T2!2))) | (~greater(age(X!5, T2!2), sigma)))),
% 0.60/0.65 inference(quant_inst,[status(thm)],[])).
% 0.60/0.65 tff(313,plain,
% 0.60/0.65 ((~![X: $i, Y: $i] : ((~greater(X, Y)) | (~greater(Y, X)))) | (~greater(sigma, age(X!5, T2!2))) | (~greater(age(X!5, T2!2), sigma))),
% 0.60/0.65 inference(modus_ponens,[status(thm)],[312, 311])).
% 0.60/0.65 tff(314,plain,
% 0.60/0.65 (~greater(sigma, age(X!5, T2!2))),
% 0.60/0.65 inference(unit_resolution,[status(thm)],[313, 310, 300])).
% 0.60/0.65 tff(315,plain,
% 0.60/0.65 ((~(smaller(age(X!5, T2!2), sigma) <=> greater(sigma, age(X!5, T2!2)))) | (~smaller(age(X!5, T2!2), sigma)) | greater(sigma, age(X!5, T2!2))),
% 0.60/0.65 inference(tautology,[status(thm)],[])).
% 0.60/0.66 tff(316,plain,
% 0.60/0.66 ((~(smaller(age(X!5, T2!2), sigma) <=> greater(sigma, age(X!5, T2!2)))) | (~smaller(age(X!5, T2!2), sigma))),
% 0.60/0.66 inference(unit_resolution,[status(thm)],[315, 314])).
% 0.60/0.66 tff(317,plain,
% 0.60/0.66 (~smaller(age(X!5, T2!2), sigma)),
% 0.60/0.66 inference(unit_resolution,[status(thm)],[316, 9])).
% 0.60/0.66 tff(318,plain,
% 0.60/0.66 ((~![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))) | (smaller_or_equal(age(X!5, T2!2), sigma) <=> ((age(X!5, T2!2) = sigma) | smaller(age(X!5, T2!2), sigma)))),
% 0.60/0.66 inference(quant_inst,[status(thm)],[])).
% 0.60/0.66 tff(319,plain,
% 0.60/0.66 (smaller_or_equal(age(X!5, T2!2), sigma) <=> ((age(X!5, T2!2) = sigma) | smaller(age(X!5, T2!2), sigma))),
% 0.60/0.66 inference(unit_resolution,[status(thm)],[318, 164])).
% 0.60/0.66 tff(320,plain,
% 0.60/0.66 (smaller_or_equal(age(X!5, T2!2), sigma)),
% 0.60/0.66 inference(and_elim,[status(thm)],[21])).
% 0.60/0.66 tff(321,plain,
% 0.60/0.66 ((~(smaller_or_equal(age(X!5, T2!2), sigma) <=> ((age(X!5, T2!2) = sigma) | smaller(age(X!5, T2!2), sigma)))) | (~smaller_or_equal(age(X!5, T2!2), sigma)) | ((age(X!5, T2!2) = sigma) | smaller(age(X!5, T2!2), sigma))),
% 0.60/0.66 inference(tautology,[status(thm)],[])).
% 0.60/0.66 tff(322,plain,
% 0.60/0.66 ((~(smaller_or_equal(age(X!5, T2!2), sigma) <=> ((age(X!5, T2!2) = sigma) | smaller(age(X!5, T2!2), sigma)))) | ((age(X!5, T2!2) = sigma) | smaller(age(X!5, T2!2), sigma))),
% 0.60/0.66 inference(unit_resolution,[status(thm)],[321, 320])).
% 0.60/0.66 tff(323,plain,
% 0.60/0.66 ((age(X!5, T2!2) = sigma) | smaller(age(X!5, T2!2), sigma)),
% 0.60/0.66 inference(unit_resolution,[status(thm)],[322, 319])).
% 0.60/0.66 tff(324,plain,
% 0.60/0.66 ((~((age(X!5, T2!2) = sigma) | smaller(age(X!5, T2!2), sigma))) | (age(X!5, T2!2) = sigma) | smaller(age(X!5, T2!2), sigma)),
% 0.60/0.66 inference(tautology,[status(thm)],[])).
% 0.60/0.66 tff(325,plain,
% 0.60/0.66 ((age(X!5, T2!2) = sigma) | smaller(age(X!5, T2!2), sigma)),
% 0.60/0.66 inference(unit_resolution,[status(thm)],[324, 323])).
% 0.60/0.66 tff(326,plain,
% 0.60/0.66 (age(X!5, T2!2) = sigma),
% 0.60/0.66 inference(unit_resolution,[status(thm)],[325, 317])).
% 0.60/0.66 tff(327,plain,
% 0.60/0.66 (sigma = age(X!5, T2!2)),
% 0.60/0.66 inference(symmetry,[status(thm)],[326])).
% 0.60/0.66 tff(328,plain,
% 0.60/0.66 (greater(sigma, age(X!5, T2!2)) <=> greater(age(X!5, T2!2), sigma)),
% 0.60/0.66 inference(monotonicity,[status(thm)],[327, 326])).
% 0.60/0.66 tff(329,plain,
% 0.60/0.66 (greater(age(X!5, T2!2), sigma) <=> greater(sigma, age(X!5, T2!2))),
% 0.60/0.66 inference(symmetry,[status(thm)],[328])).
% 0.60/0.66 tff(330,plain,
% 0.60/0.66 (greater(sigma, age(X!5, T2!2))),
% 0.60/0.66 inference(modus_ponens,[status(thm)],[300, 329])).
% 0.60/0.66 tff(331,plain,
% 0.60/0.66 ($false),
% 0.60/0.66 inference(unit_resolution,[status(thm)],[314, 330])).
% 0.60/0.66 % SZS output end Proof
%------------------------------------------------------------------------------