%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : MGT054+1 : TPTP v9.3.0. Released v2.4.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : run_E %s %d THM
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 8 06:24:08 AM UTC 2026
% Result : Theorem 0.09s 0.35s
% Output : Proof 0.09s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : MGT054+1 : TPTP v9.3.0. Released v2.4.0.
% 0.00/0.01 % Command : run_E %s %d THM
% 0.04/0.30 % Computer : n012.cluster.edu
% 0.04/0.30 % Model : x86_64 x86_64
% 0.04/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.30 % Memory : 8046.5625MB
% 0.04/0.30 % OS : Linux 6.8.0-71-generic
% 0.04/0.30 % CPULimit : 300
% 0.04/0.30 % WCLimit : 300
% 0.04/0.30 % DateTime : Mon Sep 7 13:24:58 UTC 2026
% 0.04/0.30 % CPUTime :
% 0.09/0.35 % SZS status Theorem
% 0.09/0.35 % SZS output start Proof
% 0.09/0.35 tff(greater_type, type, (
% 0.09/0.35 greater: ( $i * $i ) > $o)).
% 0.09/0.35 tff(age_type, type, (
% 0.09/0.35 age: ( $i * $i ) > $i)).
% 0.09/0.35 tff(tptp_fun_T1_1_type, type, (
% 0.09/0.35 tptp_fun_T1_1: $i)).
% 0.09/0.35 tff(tptp_fun_X_3_type, type, (
% 0.09/0.35 tptp_fun_X_3: $i)).
% 0.09/0.35 tff(sigma_type, type, (
% 0.09/0.35 sigma: $i)).
% 0.09/0.35 tff(smaller_type, type, (
% 0.09/0.35 smaller: ( $i * $i ) > $o)).
% 0.09/0.35 tff(dissimilar_type, type, (
% 0.09/0.35 dissimilar: ( $i * $i * $i ) > $o)).
% 0.09/0.35 tff(tptp_fun_T0_2_type, type, (
% 0.09/0.35 tptp_fun_T0_2: $i)).
% 0.09/0.35 tff(is_aligned_type, type, (
% 0.09/0.35 is_aligned: ( $i * $i ) > $o)).
% 0.09/0.35 tff(organization_type, type, (
% 0.09/0.35 organization: $i > $o)).
% 0.09/0.35 tff(capability_type, type, (
% 0.09/0.35 capability: ( $i * $i ) > $i)).
% 0.09/0.35 tff(tptp_fun_T2_0_type, type, (
% 0.09/0.35 tptp_fun_T2_0: $i)).
% 0.09/0.35 tff(has_immunity_type, type, (
% 0.09/0.35 has_immunity: ( $i * $i ) > $o)).
% 0.09/0.35 tff(has_endowment_type, type, (
% 0.09/0.35 has_endowment: $i > $o)).
% 0.09/0.35 tff(zero_type, type, (
% 0.09/0.35 zero: $i)).
% 0.09/0.35 tff(smaller_or_equal_type, type, (
% 0.09/0.35 smaller_or_equal: ( $i * $i ) > $o)).
% 0.09/0.35 tff(hazard_of_mortality_type, type, (
% 0.09/0.35 hazard_of_mortality: ( $i * $i ) > $i)).
% 0.09/0.35 tff(1,plain,
% 0.09/0.35 (^[X: $i, Y: $i] : refl((smaller(X, Y) <=> greater(Y, X)) <=> (smaller(X, Y) <=> greater(Y, X)))),
% 0.09/0.35 inference(bind,[status(th)],[])).
% 0.09/0.35 tff(2,plain,
% 0.09/0.35 (![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X)) <=> ![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))),
% 0.09/0.35 inference(quant_intro,[status(thm)],[1])).
% 0.09/0.35 tff(3,plain,
% 0.09/0.35 (![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X)) <=> ![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))),
% 0.09/0.35 inference(rewrite,[status(thm)],[])).
% 0.09/0.35 tff(4,axiom,(![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))), file('/export/starexec/sandbox/benchmark/Axioms/MGT001+0.ax','definition_smaller')).
% 0.09/0.35 tff(5,plain,
% 0.09/0.35 (![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))),
% 0.09/0.35 inference(modus_ponens,[status(thm)],[4, 3])).
% 0.09/0.35 tff(6,plain,(
% 0.09/0.35 ![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))),
% 0.09/0.35 inference(skolemize,[status(sab)],[5])).
% 0.09/0.35 tff(7,plain,
% 0.09/0.35 (![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))),
% 0.09/0.35 inference(modus_ponens,[status(thm)],[6, 2])).
% 0.09/0.35 tff(8,plain,
% 0.09/0.35 ((~![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))) | (smaller(age(X!3, T1!1), sigma) <=> greater(sigma, age(X!3, T1!1)))),
% 0.09/0.35 inference(quant_inst,[status(thm)],[])).
% 0.09/0.35 tff(9,plain,
% 0.09/0.35 (smaller(age(X!3, T1!1), sigma) <=> greater(sigma, age(X!3, T1!1))),
% 0.09/0.35 inference(unit_resolution,[status(thm)],[8, 7])).
% 0.09/0.35 tff(10,assumption,(has_immunity(X!3, T2!0)), introduced(assumption)).
% 0.09/0.35 tff(11,plain,
% 0.09/0.35 ((~![X: $i, T0: $i, T1: $i, T2: $i] : ((~(organization(X) & (~has_endowment(X)) & (age(X, T0) = zero) & smaller_or_equal(age(X, T1), sigma) & greater(age(X, T2), sigma) & greater(sigma, zero))) | greater(hazard_of_mortality(X, T2), hazard_of_mortality(X, T1)))) <=> (~![X: $i, T0: $i, T1: $i, T2: $i] : ((~(organization(X) & (~has_endowment(X)) & (age(X, T0) = zero) & smaller_or_equal(age(X, T1), sigma) & greater(age(X, T2), sigma) & greater(sigma, zero))) | greater(hazard_of_mortality(X, T2), hazard_of_mortality(X, T1))))),
% 0.09/0.35 inference(rewrite,[status(thm)],[])).
% 0.09/0.35 tff(12,plain,
% 0.09/0.35 ((~![X: $i, T0: $i, T1: $i, T2: $i] : ((((((organization(X) & (~has_endowment(X))) & (age(X, T0) = zero)) & smaller_or_equal(age(X, T1), sigma)) & greater(age(X, T2), sigma)) & greater(sigma, zero)) => greater(hazard_of_mortality(X, T2), hazard_of_mortality(X, T1)))) <=> (~![X: $i, T0: $i, T1: $i, T2: $i] : ((~(organization(X) & (~has_endowment(X)) & (age(X, T0) = zero) & smaller_or_equal(age(X, T1), sigma) & greater(age(X, T2), sigma) & greater(sigma, zero))) | greater(hazard_of_mortality(X, T2), hazard_of_mortality(X, T1))))),
% 0.09/0.35 inference(rewrite,[status(thm)],[])).
% 0.09/0.35 tff(13,axiom,(~![X: $i, T0: $i, T1: $i, T2: $i] : ((((((organization(X) & (~has_endowment(X))) & (age(X, T0) = zero)) & smaller_or_equal(age(X, T1), sigma)) & greater(age(X, T2), sigma)) & greater(sigma, zero)) => greater(hazard_of_mortality(X, T2), hazard_of_mortality(X, T1)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','theorem_5')).
% 0.09/0.35 tff(14,plain,
% 0.09/0.35 (~![X: $i, T0: $i, T1: $i, T2: $i] : ((~(organization(X) & (~has_endowment(X)) & (age(X, T0) = zero) & smaller_or_equal(age(X, T1), sigma) & greater(age(X, T2), sigma) & greater(sigma, zero))) | greater(hazard_of_mortality(X, T2), hazard_of_mortality(X, T1)))),
% 0.09/0.35 inference(modus_ponens,[status(thm)],[13, 12])).
% 0.09/0.35 tff(15,plain,
% 0.09/0.35 (~![X: $i, T0: $i, T1: $i, T2: $i] : ((~(organization(X) & (~has_endowment(X)) & (age(X, T0) = zero) & smaller_or_equal(age(X, T1), sigma) & greater(age(X, T2), sigma) & greater(sigma, zero))) | greater(hazard_of_mortality(X, T2), hazard_of_mortality(X, T1)))),
% 0.09/0.35 inference(modus_ponens,[status(thm)],[14, 11])).
% 0.09/0.35 tff(16,plain,
% 0.09/0.35 (~![X: $i, T0: $i, T1: $i, T2: $i] : ((~(organization(X) & (~has_endowment(X)) & (age(X, T0) = zero) & smaller_or_equal(age(X, T1), sigma) & greater(age(X, T2), sigma) & greater(sigma, zero))) | greater(hazard_of_mortality(X, T2), hazard_of_mortality(X, T1)))),
% 0.09/0.35 inference(modus_ponens,[status(thm)],[15, 11])).
% 0.09/0.35 tff(17,plain,
% 0.09/0.35 (~![X: $i, T0: $i, T1: $i, T2: $i] : ((~(organization(X) & (~has_endowment(X)) & (age(X, T0) = zero) & smaller_or_equal(age(X, T1), sigma) & greater(age(X, T2), sigma) & greater(sigma, zero))) | greater(hazard_of_mortality(X, T2), hazard_of_mortality(X, T1)))),
% 0.09/0.35 inference(modus_ponens,[status(thm)],[16, 11])).
% 0.09/0.35 tff(18,plain,(
% 0.09/0.35 ~((~(organization(X!3) & (~has_endowment(X!3)) & (age(X!3, T0!2) = zero) & smaller_or_equal(age(X!3, T1!1), sigma) & greater(age(X!3, T2!0), sigma) & greater(sigma, zero))) | greater(hazard_of_mortality(X!3, T2!0), hazard_of_mortality(X!3, T1!1)))),
% 0.09/0.35 inference(skolemize,[status(sab)],[17])).
% 0.09/0.35 tff(19,plain,
% 0.09/0.35 (organization(X!3) & (~has_endowment(X!3)) & (age(X!3, T0!2) = zero) & smaller_or_equal(age(X!3, T1!1), sigma) & greater(age(X!3, T2!0), sigma) & greater(sigma, zero)),
% 0.09/0.35 inference(or_elim,[status(thm)],[18])).
% 0.09/0.35 tff(20,plain,
% 0.09/0.35 (~has_endowment(X!3)),
% 0.09/0.35 inference(and_elim,[status(thm)],[19])).
% 0.09/0.35 tff(21,plain,
% 0.09/0.35 (organization(X!3)),
% 0.09/0.35 inference(and_elim,[status(thm)],[19])).
% 0.09/0.35 tff(22,plain,
% 0.09/0.35 (^[X: $i, T: $i] : refl(((~has_immunity(X, T)) | has_endowment(X) | (~organization(X))) <=> ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X))))),
% 0.09/0.35 inference(bind,[status(th)],[])).
% 0.09/0.35 tff(23,plain,
% 0.09/0.35 (![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X))) <=> ![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))),
% 0.09/0.35 inference(quant_intro,[status(thm)],[22])).
% 0.09/0.35 tff(24,plain,
% 0.09/0.35 (^[X: $i, T: $i] : trans(monotonicity(trans(monotonicity(rewrite((organization(X) & (~has_endowment(X))) <=> (~(has_endowment(X) | (~organization(X))))), ((~(organization(X) & (~has_endowment(X)))) <=> (~(~(has_endowment(X) | (~organization(X))))))), rewrite((~(~(has_endowment(X) | (~organization(X))))) <=> (has_endowment(X) | (~organization(X)))), ((~(organization(X) & (~has_endowment(X)))) <=> (has_endowment(X) | (~organization(X))))), (((~has_immunity(X, T)) | (~(organization(X) & (~has_endowment(X))))) <=> ((~has_immunity(X, T)) | (has_endowment(X) | (~organization(X)))))), rewrite(((~has_immunity(X, T)) | (has_endowment(X) | (~organization(X)))) <=> ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))), (((~has_immunity(X, T)) | (~(organization(X) & (~has_endowment(X))))) <=> ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))))),
% 0.09/0.35 inference(bind,[status(th)],[])).
% 0.09/0.35 tff(25,plain,
% 0.09/0.35 (![X: $i, T: $i] : ((~has_immunity(X, T)) | (~(organization(X) & (~has_endowment(X))))) <=> ![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))),
% 0.09/0.35 inference(quant_intro,[status(thm)],[24])).
% 0.09/0.35 tff(26,plain,
% 0.09/0.35 (![X: $i, T: $i] : ((~has_immunity(X, T)) | (~(organization(X) & (~has_endowment(X))))) <=> ![X: $i, T: $i] : ((~has_immunity(X, T)) | (~(organization(X) & (~has_endowment(X)))))),
% 0.09/0.35 inference(rewrite,[status(thm)],[])).
% 0.09/0.35 tff(27,plain,
% 0.09/0.35 (^[X: $i, T: $i] : rewrite(((organization(X) & (~has_endowment(X))) => (~has_immunity(X, T))) <=> ((~has_immunity(X, T)) | (~(organization(X) & (~has_endowment(X))))))),
% 0.09/0.35 inference(bind,[status(th)],[])).
% 0.09/0.35 tff(28,plain,
% 0.09/0.35 (![X: $i, T: $i] : ((organization(X) & (~has_endowment(X))) => (~has_immunity(X, T))) <=> ![X: $i, T: $i] : ((~has_immunity(X, T)) | (~(organization(X) & (~has_endowment(X)))))),
% 0.09/0.36 inference(quant_intro,[status(thm)],[27])).
% 0.09/0.36 tff(29,axiom,(![X: $i, T: $i] : ((organization(X) & (~has_endowment(X))) => (~has_immunity(X, T)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','assumption_1')).
% 0.09/0.36 tff(30,plain,
% 0.09/0.36 (![X: $i, T: $i] : ((~has_immunity(X, T)) | (~(organization(X) & (~has_endowment(X)))))),
% 0.09/0.36 inference(modus_ponens,[status(thm)],[29, 28])).
% 0.09/0.36 tff(31,plain,
% 0.09/0.36 (![X: $i, T: $i] : ((~has_immunity(X, T)) | (~(organization(X) & (~has_endowment(X)))))),
% 0.09/0.36 inference(modus_ponens,[status(thm)],[30, 26])).
% 0.09/0.36 tff(32,plain,(
% 0.09/0.36 ![X: $i, T: $i] : ((~has_immunity(X, T)) | (~(organization(X) & (~has_endowment(X)))))),
% 0.09/0.36 inference(skolemize,[status(sab)],[31])).
% 0.09/0.36 tff(33,plain,
% 0.09/0.36 (![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))),
% 0.09/0.36 inference(modus_ponens,[status(thm)],[32, 25])).
% 0.09/0.36 tff(34,plain,
% 0.09/0.36 (![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))),
% 0.09/0.36 inference(modus_ponens,[status(thm)],[33, 23])).
% 0.09/0.36 tff(35,plain,
% 0.09/0.36 (((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | (has_endowment(X!3) | (~has_immunity(X!3, T2!0)) | (~organization(X!3)))) <=> ((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | has_endowment(X!3) | (~has_immunity(X!3, T2!0)) | (~organization(X!3)))),
% 0.09/0.36 inference(rewrite,[status(thm)],[])).
% 0.09/0.36 tff(36,plain,
% 0.09/0.36 (((~has_immunity(X!3, T2!0)) | has_endowment(X!3) | (~organization(X!3))) <=> (has_endowment(X!3) | (~has_immunity(X!3, T2!0)) | (~organization(X!3)))),
% 0.09/0.36 inference(rewrite,[status(thm)],[])).
% 0.09/0.36 tff(37,plain,
% 0.09/0.36 (((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | ((~has_immunity(X!3, T2!0)) | has_endowment(X!3) | (~organization(X!3)))) <=> ((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | (has_endowment(X!3) | (~has_immunity(X!3, T2!0)) | (~organization(X!3))))),
% 0.09/0.36 inference(monotonicity,[status(thm)],[36])).
% 0.09/0.36 tff(38,plain,
% 0.09/0.36 (((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | ((~has_immunity(X!3, T2!0)) | has_endowment(X!3) | (~organization(X!3)))) <=> ((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | has_endowment(X!3) | (~has_immunity(X!3, T2!0)) | (~organization(X!3)))),
% 0.09/0.36 inference(transitivity,[status(thm)],[37, 35])).
% 0.09/0.36 tff(39,plain,
% 0.09/0.36 ((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | ((~has_immunity(X!3, T2!0)) | has_endowment(X!3) | (~organization(X!3)))),
% 0.09/0.36 inference(quant_inst,[status(thm)],[])).
% 0.09/0.36 tff(40,plain,
% 0.09/0.36 ((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | has_endowment(X!3) | (~has_immunity(X!3, T2!0)) | (~organization(X!3))),
% 0.09/0.36 inference(modus_ponens,[status(thm)],[39, 38])).
% 0.09/0.36 tff(41,plain,
% 0.09/0.36 ($false),
% 0.09/0.36 inference(unit_resolution,[status(thm)],[40, 34, 21, 20, 10])).
% 0.09/0.36 tff(42,plain,(~has_immunity(X!3, T2!0)), inference(lemma,lemma(discharge,[]))).
% 0.09/0.36 tff(43,plain,
% 0.09/0.36 (~greater(hazard_of_mortality(X!3, T2!0), hazard_of_mortality(X!3, T1!1))),
% 0.09/0.36 inference(or_elim,[status(thm)],[18])).
% 0.09/0.36 tff(44,plain,
% 0.09/0.36 (^[X: $i, T0: $i, T: $i] : refl((greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | has_immunity(X, T) | (~has_immunity(X, T0)) | (~organization(X))) <=> (greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | has_immunity(X, T) | (~has_immunity(X, T0)) | (~organization(X))))),
% 0.09/0.36 inference(bind,[status(th)],[])).
% 0.09/0.36 tff(45,plain,
% 0.09/0.36 (![X: $i, T0: $i, T: $i] : (greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | has_immunity(X, T) | (~has_immunity(X, T0)) | (~organization(X))) <=> ![X: $i, T0: $i, T: $i] : (greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | has_immunity(X, T) | (~has_immunity(X, T0)) | (~organization(X)))),
% 0.09/0.36 inference(quant_intro,[status(thm)],[44])).
% 0.09/0.36 tff(46,plain,
% 0.09/0.36 (^[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))) <=> (greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | has_immunity(X, T) | (~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))) <=> (greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | has_immunity(X, T) | (~has_immunity(X, T0)) | (~organization(X)))))),
% 0.09/0.36 inference(bind,[status(th)],[])).
% 0.09/0.36 tff(47,plain,
% 0.09/0.36 (![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] : (greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | has_immunity(X, T) | (~has_immunity(X, T0)) | (~organization(X)))),
% 0.09/0.36 inference(quant_intro,[status(thm)],[46])).
% 0.09/0.36 tff(48,plain,
% 0.09/0.36 (![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)))),
% 0.09/0.36 inference(rewrite,[status(thm)],[])).
% 0.09/0.36 tff(49,plain,
% 0.09/0.36 (^[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)))))),
% 0.09/0.36 inference(bind,[status(th)],[])).
% 0.09/0.36 tff(50,plain,
% 0.09/0.36 (![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)))),
% 0.09/0.36 inference(quant_intro,[status(thm)],[49])).
% 0.09/0.36 tff(51,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')).
% 0.09/0.36 tff(52,plain,
% 0.09/0.36 (![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)))),
% 0.09/0.36 inference(modus_ponens,[status(thm)],[51, 50])).
% 0.09/0.36 tff(53,plain,
% 0.09/0.36 (![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)))),
% 0.09/0.36 inference(modus_ponens,[status(thm)],[52, 48])).
% 0.09/0.36 tff(54,plain,(
% 0.09/0.36 ![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)))),
% 0.09/0.36 inference(skolemize,[status(sab)],[53])).
% 0.09/0.36 tff(55,plain,
% 0.09/0.36 (![X: $i, T0: $i, T: $i] : (greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | has_immunity(X, T) | (~has_immunity(X, T0)) | (~organization(X)))),
% 0.09/0.36 inference(modus_ponens,[status(thm)],[54, 47])).
% 0.09/0.36 tff(56,plain,
% 0.09/0.36 (![X: $i, T0: $i, T: $i] : (greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | has_immunity(X, T) | (~has_immunity(X, T0)) | (~organization(X)))),
% 0.09/0.36 inference(modus_ponens,[status(thm)],[55, 45])).
% 0.09/0.36 tff(57,plain,
% 0.09/0.36 (((~![X: $i, T0: $i, T: $i] : (greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | has_immunity(X, T) | (~has_immunity(X, T0)) | (~organization(X)))) | (greater(hazard_of_mortality(X!3, T2!0), hazard_of_mortality(X!3, T1!1)) | has_immunity(X!3, T2!0) | (~organization(X!3)) | (~has_immunity(X!3, T1!1)))) <=> ((~![X: $i, T0: $i, T: $i] : (greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | has_immunity(X, T) | (~has_immunity(X, T0)) | (~organization(X)))) | greater(hazard_of_mortality(X!3, T2!0), hazard_of_mortality(X!3, T1!1)) | has_immunity(X!3, T2!0) | (~organization(X!3)) | (~has_immunity(X!3, T1!1)))),
% 0.09/0.36 inference(rewrite,[status(thm)],[])).
% 0.09/0.36 tff(58,plain,
% 0.09/0.36 ((greater(hazard_of_mortality(X!3, T2!0), hazard_of_mortality(X!3, T1!1)) | has_immunity(X!3, T2!0) | (~has_immunity(X!3, T1!1)) | (~organization(X!3))) <=> (greater(hazard_of_mortality(X!3, T2!0), hazard_of_mortality(X!3, T1!1)) | has_immunity(X!3, T2!0) | (~organization(X!3)) | (~has_immunity(X!3, T1!1)))),
% 0.09/0.36 inference(rewrite,[status(thm)],[])).
% 0.09/0.36 tff(59,plain,
% 0.09/0.36 (((~![X: $i, T0: $i, T: $i] : (greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | has_immunity(X, T) | (~has_immunity(X, T0)) | (~organization(X)))) | (greater(hazard_of_mortality(X!3, T2!0), hazard_of_mortality(X!3, T1!1)) | has_immunity(X!3, T2!0) | (~has_immunity(X!3, T1!1)) | (~organization(X!3)))) <=> ((~![X: $i, T0: $i, T: $i] : (greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | has_immunity(X, T) | (~has_immunity(X, T0)) | (~organization(X)))) | (greater(hazard_of_mortality(X!3, T2!0), hazard_of_mortality(X!3, T1!1)) | has_immunity(X!3, T2!0) | (~organization(X!3)) | (~has_immunity(X!3, T1!1))))),
% 0.09/0.36 inference(monotonicity,[status(thm)],[58])).
% 0.09/0.36 tff(60,plain,
% 0.09/0.36 (((~![X: $i, T0: $i, T: $i] : (greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | has_immunity(X, T) | (~has_immunity(X, T0)) | (~organization(X)))) | (greater(hazard_of_mortality(X!3, T2!0), hazard_of_mortality(X!3, T1!1)) | has_immunity(X!3, T2!0) | (~has_immunity(X!3, T1!1)) | (~organization(X!3)))) <=> ((~![X: $i, T0: $i, T: $i] : (greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | has_immunity(X, T) | (~has_immunity(X, T0)) | (~organization(X)))) | greater(hazard_of_mortality(X!3, T2!0), hazard_of_mortality(X!3, T1!1)) | has_immunity(X!3, T2!0) | (~organization(X!3)) | (~has_immunity(X!3, T1!1)))),
% 0.09/0.36 inference(transitivity,[status(thm)],[59, 57])).
% 0.09/0.36 tff(61,plain,
% 0.09/0.36 ((~![X: $i, T0: $i, T: $i] : (greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | has_immunity(X, T) | (~has_immunity(X, T0)) | (~organization(X)))) | (greater(hazard_of_mortality(X!3, T2!0), hazard_of_mortality(X!3, T1!1)) | has_immunity(X!3, T2!0) | (~has_immunity(X!3, T1!1)) | (~organization(X!3)))),
% 0.09/0.36 inference(quant_inst,[status(thm)],[])).
% 0.09/0.36 tff(62,plain,
% 0.09/0.36 ((~![X: $i, T0: $i, T: $i] : (greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | has_immunity(X, T) | (~has_immunity(X, T0)) | (~organization(X)))) | greater(hazard_of_mortality(X!3, T2!0), hazard_of_mortality(X!3, T1!1)) | has_immunity(X!3, T2!0) | (~organization(X!3)) | (~has_immunity(X!3, T1!1))),
% 0.09/0.36 inference(modus_ponens,[status(thm)],[61, 60])).
% 0.09/0.36 tff(63,plain,
% 0.09/0.36 (has_immunity(X!3, T2!0) | (~has_immunity(X!3, T1!1))),
% 0.09/0.36 inference(unit_resolution,[status(thm)],[62, 56, 21, 43])).
% 0.09/0.36 tff(64,plain,
% 0.09/0.36 (~has_immunity(X!3, T1!1)),
% 0.09/0.36 inference(unit_resolution,[status(thm)],[63, 42])).
% 0.09/0.36 tff(65,plain,
% 0.09/0.36 (^[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)))))),
% 0.09/0.36 inference(bind,[status(th)],[])).
% 0.09/0.36 tff(66,plain,
% 0.09/0.36 (![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))))),
% 0.09/0.36 inference(quant_intro,[status(thm)],[65])).
% 0.09/0.36 tff(67,plain,
% 0.09/0.36 (^[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))))))),
% 0.09/0.36 inference(bind,[status(th)],[])).
% 0.09/0.36 tff(68,plain,
% 0.09/0.36 (![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))))),
% 0.09/0.36 inference(quant_intro,[status(thm)],[67])).
% 0.09/0.36 tff(69,plain,
% 0.09/0.36 (![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)))),
% 0.09/0.36 inference(rewrite,[status(thm)],[])).
% 0.09/0.36 tff(70,plain,
% 0.09/0.36 (^[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)))))),
% 0.09/0.36 inference(bind,[status(th)],[])).
% 0.09/0.36 tff(71,plain,
% 0.09/0.36 (![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)))),
% 0.09/0.36 inference(quant_intro,[status(thm)],[70])).
% 0.09/0.36 tff(72,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')).
% 0.09/0.36 tff(73,plain,
% 0.09/0.36 (![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)))),
% 0.09/0.36 inference(modus_ponens,[status(thm)],[72, 71])).
% 0.09/0.36 tff(74,plain,
% 0.09/0.36 (![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)))),
% 0.09/0.36 inference(modus_ponens,[status(thm)],[73, 69])).
% 0.09/0.36 tff(75,plain,(
% 0.09/0.36 ![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)))),
% 0.09/0.36 inference(skolemize,[status(sab)],[74])).
% 0.09/0.36 tff(76,plain,
% 0.09/0.36 (![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))))),
% 0.09/0.36 inference(modus_ponens,[status(thm)],[75, 68])).
% 0.09/0.36 tff(77,plain,
% 0.09/0.36 (![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))))),
% 0.09/0.36 inference(modus_ponens,[status(thm)],[76, 66])).
% 0.09/0.36 tff(78,plain,
% 0.09/0.36 (((~![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!3, T2!0), hazard_of_mortality(X!3, T1!1)) | has_immunity(X!3, T2!0) | (~organization(X!3)) | has_immunity(X!3, T1!1) | (~greater(capability(X!3, T1!1), capability(X!3, T2!0))))) <=> ((~![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!3, T2!0), hazard_of_mortality(X!3, T1!1)) | has_immunity(X!3, T2!0) | (~organization(X!3)) | has_immunity(X!3, T1!1) | (~greater(capability(X!3, T1!1), capability(X!3, T2!0))))),
% 0.09/0.36 inference(rewrite,[status(thm)],[])).
% 0.09/0.36 tff(79,plain,
% 0.09/0.36 ((has_immunity(X!3, T1!1) | has_immunity(X!3, T2!0) | greater(hazard_of_mortality(X!3, T2!0), hazard_of_mortality(X!3, T1!1)) | (~organization(X!3)) | (~greater(capability(X!3, T1!1), capability(X!3, T2!0)))) <=> (greater(hazard_of_mortality(X!3, T2!0), hazard_of_mortality(X!3, T1!1)) | has_immunity(X!3, T2!0) | (~organization(X!3)) | has_immunity(X!3, T1!1) | (~greater(capability(X!3, T1!1), capability(X!3, T2!0))))),
% 0.09/0.36 inference(rewrite,[status(thm)],[])).
% 0.09/0.36 tff(80,plain,
% 0.09/0.36 (((~![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!3, T1!1) | has_immunity(X!3, T2!0) | greater(hazard_of_mortality(X!3, T2!0), hazard_of_mortality(X!3, T1!1)) | (~organization(X!3)) | (~greater(capability(X!3, T1!1), capability(X!3, T2!0))))) <=> ((~![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!3, T2!0), hazard_of_mortality(X!3, T1!1)) | has_immunity(X!3, T2!0) | (~organization(X!3)) | has_immunity(X!3, T1!1) | (~greater(capability(X!3, T1!1), capability(X!3, T2!0)))))),
% 0.09/0.36 inference(monotonicity,[status(thm)],[79])).
% 0.09/0.36 tff(81,plain,
% 0.09/0.36 (((~![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!3, T1!1) | has_immunity(X!3, T2!0) | greater(hazard_of_mortality(X!3, T2!0), hazard_of_mortality(X!3, T1!1)) | (~organization(X!3)) | (~greater(capability(X!3, T1!1), capability(X!3, T2!0))))) <=> ((~![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!3, T2!0), hazard_of_mortality(X!3, T1!1)) | has_immunity(X!3, T2!0) | (~organization(X!3)) | has_immunity(X!3, T1!1) | (~greater(capability(X!3, T1!1), capability(X!3, T2!0))))),
% 0.09/0.36 inference(transitivity,[status(thm)],[80, 78])).
% 0.09/0.36 tff(82,plain,
% 0.09/0.36 ((~![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!3, T1!1) | has_immunity(X!3, T2!0) | greater(hazard_of_mortality(X!3, T2!0), hazard_of_mortality(X!3, T1!1)) | (~organization(X!3)) | (~greater(capability(X!3, T1!1), capability(X!3, T2!0))))),
% 0.09/0.36 inference(quant_inst,[status(thm)],[])).
% 0.09/0.36 tff(83,plain,
% 0.09/0.36 ((~![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!3, T2!0), hazard_of_mortality(X!3, T1!1)) | has_immunity(X!3, T2!0) | (~organization(X!3)) | has_immunity(X!3, T1!1) | (~greater(capability(X!3, T1!1), capability(X!3, T2!0)))),
% 0.09/0.36 inference(modus_ponens,[status(thm)],[82, 81])).
% 0.09/0.36 tff(84,plain,
% 0.09/0.36 (has_immunity(X!3, T2!0) | has_immunity(X!3, T1!1) | (~greater(capability(X!3, T1!1), capability(X!3, T2!0)))),
% 0.09/0.36 inference(unit_resolution,[status(thm)],[83, 77, 21, 43])).
% 0.09/0.36 tff(85,plain,
% 0.09/0.36 (~greater(capability(X!3, T1!1), capability(X!3, T2!0))),
% 0.09/0.36 inference(unit_resolution,[status(thm)],[84, 64, 42])).
% 0.09/0.36 tff(86,plain,
% 0.09/0.36 (^[X: $i, T0: $i, T: $i] : refl((~(((~organization(X)) | (is_aligned(X, T0) <=> is_aligned(X, T))) <=> dissimilar(X, T0, T))) <=> (~(((~organization(X)) | (is_aligned(X, T0) <=> is_aligned(X, T))) <=> dissimilar(X, T0, T))))),
% 0.09/0.36 inference(bind,[status(th)],[])).
% 0.09/0.36 tff(87,plain,
% 0.09/0.36 (![X: $i, T0: $i, T: $i] : (~(((~organization(X)) | (is_aligned(X, T0) <=> is_aligned(X, T))) <=> dissimilar(X, T0, T))) <=> ![X: $i, T0: $i, T: $i] : (~(((~organization(X)) | (is_aligned(X, T0) <=> is_aligned(X, T))) <=> dissimilar(X, T0, T)))),
% 0.09/0.36 inference(quant_intro,[status(thm)],[86])).
% 0.09/0.36 tff(88,plain,
% 0.09/0.36 (^[X: $i, T0: $i, T: $i] : trans(trans(monotonicity(trans(monotonicity(rewrite((~(is_aligned(X, T0) <=> is_aligned(X, T))) <=> (~(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)))))), ((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))))))), rewrite((dissimilar(X, T0, T) <=> (~((~organization(X)) | (is_aligned(X, T0) <=> is_aligned(X, T))))) <=> (~(((~organization(X)) | (is_aligned(X, T0) <=> is_aligned(X, T))) <=> dissimilar(X, T0, T)))), ((dissimilar(X, T0, T) <=> (organization(X) & (~(is_aligned(X, T0) <=> is_aligned(X, T))))) <=> (~(((~organization(X)) | (is_aligned(X, T0) <=> is_aligned(X, T))) <=> dissimilar(X, T0, T))))), rewrite((~(((~organization(X)) | (is_aligned(X, T0) <=> is_aligned(X, T))) <=> dissimilar(X, T0, T))) <=> (~(((~organization(X)) | (is_aligned(X, T0) <=> is_aligned(X, T))) <=> dissimilar(X, T0, T)))), ((dissimilar(X, T0, T) <=> (organization(X) & (~(is_aligned(X, T0) <=> is_aligned(X, T))))) <=> (~(((~organization(X)) | (is_aligned(X, T0) <=> is_aligned(X, T))) <=> dissimilar(X, T0, T)))))),
% 0.09/0.36 inference(bind,[status(th)],[])).
% 0.09/0.36 tff(89,plain,
% 0.09/0.36 (![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] : (~(((~organization(X)) | (is_aligned(X, T0) <=> is_aligned(X, T))) <=> dissimilar(X, T0, T)))),
% 0.09/0.36 inference(quant_intro,[status(thm)],[88])).
% 0.09/0.36 tff(90,plain,
% 0.09/0.36 (![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)))))),
% 0.09/0.36 inference(rewrite,[status(thm)],[])).
% 0.09/0.36 tff(91,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')).
% 0.09/0.36 tff(92,plain,
% 0.09/0.36 (![X: $i, T0: $i, T: $i] : (dissimilar(X, T0, T) <=> (organization(X) & (~(is_aligned(X, T0) <=> is_aligned(X, T)))))),
% 0.09/0.36 inference(modus_ponens,[status(thm)],[91, 90])).
% 0.09/0.36 tff(93,plain,(
% 0.09/0.36 ![X: $i, T0: $i, T: $i] : (dissimilar(X, T0, T) <=> (organization(X) & (~(is_aligned(X, T0) <=> is_aligned(X, T)))))),
% 0.09/0.36 inference(skolemize,[status(sab)],[92])).
% 0.09/0.36 tff(94,plain,
% 0.09/0.36 (![X: $i, T0: $i, T: $i] : (~(((~organization(X)) | (is_aligned(X, T0) <=> is_aligned(X, T))) <=> dissimilar(X, T0, T)))),
% 0.09/0.36 inference(modus_ponens,[status(thm)],[93, 89])).
% 0.09/0.36 tff(95,plain,
% 0.09/0.36 (![X: $i, T0: $i, T: $i] : (~(((~organization(X)) | (is_aligned(X, T0) <=> is_aligned(X, T))) <=> dissimilar(X, T0, T)))),
% 0.09/0.36 inference(modus_ponens,[status(thm)],[94, 87])).
% 0.09/0.36 tff(96,plain,
% 0.09/0.36 ((~![X: $i, T0: $i, T: $i] : (~(((~organization(X)) | (is_aligned(X, T0) <=> is_aligned(X, T))) <=> dissimilar(X, T0, T)))) | (~(((~organization(X!3)) | (is_aligned(X!3, T0!2) <=> is_aligned(X!3, T2!0))) <=> dissimilar(X!3, T0!2, T2!0)))),
% 0.09/0.36 inference(quant_inst,[status(thm)],[])).
% 0.09/0.36 tff(97,plain,
% 0.09/0.36 (~(((~organization(X!3)) | (is_aligned(X!3, T0!2) <=> is_aligned(X!3, T2!0))) <=> dissimilar(X!3, T0!2, T2!0))),
% 0.09/0.36 inference(unit_resolution,[status(thm)],[96, 95])).
% 0.09/0.36 tff(98,plain,
% 0.09/0.36 (age(X!3, T0!2) = zero),
% 0.09/0.36 inference(and_elim,[status(thm)],[19])).
% 0.09/0.36 tff(99,plain,
% 0.09/0.36 (^[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))))),
% 0.09/0.36 inference(bind,[status(th)],[])).
% 0.09/0.36 tff(100,plain,
% 0.09/0.36 (![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)))),
% 0.09/0.36 inference(quant_intro,[status(thm)],[99])).
% 0.09/0.36 tff(101,plain,
% 0.09/0.36 (^[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)))))),
% 0.09/0.36 inference(bind,[status(th)],[])).
% 0.09/0.36 tff(102,plain,
% 0.09/0.36 (![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)))),
% 0.09/0.36 inference(quant_intro,[status(thm)],[101])).
% 0.09/0.36 tff(103,plain,
% 0.09/0.36 (![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)))),
% 0.09/0.36 inference(rewrite,[status(thm)],[])).
% 0.09/0.36 tff(104,plain,
% 0.09/0.36 (^[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))))),
% 0.09/0.36 inference(bind,[status(th)],[])).
% 0.09/0.36 tff(105,plain,
% 0.09/0.36 (![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)))),
% 0.09/0.36 inference(quant_intro,[status(thm)],[104])).
% 0.09/0.36 tff(106,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')).
% 0.09/0.36 tff(107,plain,
% 0.09/0.36 (![X: $i, T0: $i, T: $i] : ((~(organization(X) & (age(X, T0) = zero))) | (greater(age(X, T), sigma) <=> dissimilar(X, T0, T)))),
% 0.09/0.36 inference(modus_ponens,[status(thm)],[106, 105])).
% 0.09/0.36 tff(108,plain,
% 0.09/0.36 (![X: $i, T0: $i, T: $i] : ((~(organization(X) & (age(X, T0) = zero))) | (greater(age(X, T), sigma) <=> dissimilar(X, T0, T)))),
% 0.09/0.36 inference(modus_ponens,[status(thm)],[107, 103])).
% 0.09/0.36 tff(109,plain,(
% 0.09/0.36 ![X: $i, T0: $i, T: $i] : ((~(organization(X) & (age(X, T0) = zero))) | (greater(age(X, T), sigma) <=> dissimilar(X, T0, T)))),
% 0.09/0.36 inference(skolemize,[status(sab)],[108])).
% 0.09/0.36 tff(110,plain,
% 0.09/0.36 (![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))),
% 0.09/0.36 inference(modus_ponens,[status(thm)],[109, 102])).
% 0.09/0.36 tff(111,plain,
% 0.09/0.36 (![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))),
% 0.09/0.36 inference(modus_ponens,[status(thm)],[110, 100])).
% 0.09/0.36 tff(112,plain,
% 0.09/0.36 (((~![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))) | ((~organization(X!3)) | (~(age(X!3, T0!2) = zero)) | (greater(age(X!3, T2!0), sigma) <=> dissimilar(X!3, T0!2, T2!0)))) <=> ((~![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))) | (~organization(X!3)) | (~(age(X!3, T0!2) = zero)) | (greater(age(X!3, T2!0), sigma) <=> dissimilar(X!3, T0!2, T2!0)))),
% 0.09/0.36 inference(rewrite,[status(thm)],[])).
% 0.09/0.36 tff(113,plain,
% 0.09/0.36 (((greater(age(X!3, T2!0), sigma) <=> dissimilar(X!3, T0!2, T2!0)) | (~organization(X!3)) | (~(age(X!3, T0!2) = zero))) <=> ((~organization(X!3)) | (~(age(X!3, T0!2) = zero)) | (greater(age(X!3, T2!0), sigma) <=> dissimilar(X!3, T0!2, T2!0)))),
% 0.09/0.36 inference(rewrite,[status(thm)],[])).
% 0.09/0.36 tff(114,plain,
% 0.09/0.36 (((~![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))) | ((greater(age(X!3, T2!0), sigma) <=> dissimilar(X!3, T0!2, T2!0)) | (~organization(X!3)) | (~(age(X!3, T0!2) = zero)))) <=> ((~![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))) | ((~organization(X!3)) | (~(age(X!3, T0!2) = zero)) | (greater(age(X!3, T2!0), sigma) <=> dissimilar(X!3, T0!2, T2!0))))),
% 0.09/0.36 inference(monotonicity,[status(thm)],[113])).
% 0.09/0.36 tff(115,plain,
% 0.09/0.36 (((~![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))) | ((greater(age(X!3, T2!0), sigma) <=> dissimilar(X!3, T0!2, T2!0)) | (~organization(X!3)) | (~(age(X!3, T0!2) = zero)))) <=> ((~![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))) | (~organization(X!3)) | (~(age(X!3, T0!2) = zero)) | (greater(age(X!3, T2!0), sigma) <=> dissimilar(X!3, T0!2, T2!0)))),
% 0.09/0.36 inference(transitivity,[status(thm)],[114, 112])).
% 0.09/0.36 tff(116,plain,
% 0.09/0.36 ((~![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))) | ((greater(age(X!3, T2!0), sigma) <=> dissimilar(X!3, T0!2, T2!0)) | (~organization(X!3)) | (~(age(X!3, T0!2) = zero)))),
% 0.09/0.36 inference(quant_inst,[status(thm)],[])).
% 0.09/0.36 tff(117,plain,
% 0.09/0.36 ((~![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))) | (~organization(X!3)) | (~(age(X!3, T0!2) = zero)) | (greater(age(X!3, T2!0), sigma) <=> dissimilar(X!3, T0!2, T2!0))),
% 0.09/0.36 inference(modus_ponens,[status(thm)],[116, 115])).
% 0.09/0.36 tff(118,plain,
% 0.09/0.36 (greater(age(X!3, T2!0), sigma) <=> dissimilar(X!3, T0!2, T2!0)),
% 0.09/0.36 inference(unit_resolution,[status(thm)],[117, 111, 21, 98])).
% 0.09/0.36 tff(119,plain,
% 0.09/0.36 (greater(age(X!3, T2!0), sigma)),
% 0.09/0.36 inference(and_elim,[status(thm)],[19])).
% 0.09/0.36 tff(120,plain,
% 0.09/0.36 ((~(greater(age(X!3, T2!0), sigma) <=> dissimilar(X!3, T0!2, T2!0))) | (~greater(age(X!3, T2!0), sigma)) | dissimilar(X!3, T0!2, T2!0)),
% 0.09/0.36 inference(tautology,[status(thm)],[])).
% 0.09/0.36 tff(121,plain,
% 0.09/0.36 ((~(greater(age(X!3, T2!0), sigma) <=> dissimilar(X!3, T0!2, T2!0))) | dissimilar(X!3, T0!2, T2!0)),
% 0.09/0.36 inference(unit_resolution,[status(thm)],[120, 119])).
% 0.09/0.36 tff(122,plain,
% 0.09/0.36 (dissimilar(X!3, T0!2, T2!0)),
% 0.09/0.36 inference(unit_resolution,[status(thm)],[121, 118])).
% 0.09/0.36 tff(123,plain,
% 0.09/0.36 ((((~organization(X!3)) | (is_aligned(X!3, T0!2) <=> is_aligned(X!3, T2!0))) <=> dissimilar(X!3, T0!2, T2!0)) | (~((~organization(X!3)) | (is_aligned(X!3, T0!2) <=> is_aligned(X!3, T2!0)))) | (~dissimilar(X!3, T0!2, T2!0))),
% 0.09/0.36 inference(tautology,[status(thm)],[])).
% 0.09/0.36 tff(124,plain,
% 0.09/0.36 ((((~organization(X!3)) | (is_aligned(X!3, T0!2) <=> is_aligned(X!3, T2!0))) <=> dissimilar(X!3, T0!2, T2!0)) | (~((~organization(X!3)) | (is_aligned(X!3, T0!2) <=> is_aligned(X!3, T2!0))))),
% 0.09/0.36 inference(unit_resolution,[status(thm)],[123, 122])).
% 0.09/0.36 tff(125,plain,
% 0.09/0.36 (~((~organization(X!3)) | (is_aligned(X!3, T0!2) <=> is_aligned(X!3, T2!0)))),
% 0.09/0.36 inference(unit_resolution,[status(thm)],[124, 97])).
% 0.09/0.36 tff(126,plain,
% 0.09/0.36 (((~organization(X!3)) | (is_aligned(X!3, T0!2) <=> is_aligned(X!3, T2!0))) | (~(is_aligned(X!3, T0!2) <=> is_aligned(X!3, T2!0)))),
% 0.09/0.36 inference(tautology,[status(thm)],[])).
% 0.09/0.36 tff(127,plain,
% 0.09/0.36 (~(is_aligned(X!3, T0!2) <=> is_aligned(X!3, T2!0))),
% 0.09/0.36 inference(unit_resolution,[status(thm)],[126, 125])).
% 0.09/0.36 tff(128,plain,
% 0.09/0.36 (^[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))))),
% 0.09/0.36 inference(bind,[status(th)],[])).
% 0.09/0.36 tff(129,plain,
% 0.09/0.36 (![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)))),
% 0.09/0.36 inference(quant_intro,[status(thm)],[128])).
% 0.09/0.36 tff(130,plain,
% 0.09/0.36 (^[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)))))),
% 0.09/0.36 inference(bind,[status(th)],[])).
% 0.09/0.36 tff(131,plain,
% 0.09/0.36 (![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)))),
% 0.09/0.36 inference(quant_intro,[status(thm)],[130])).
% 0.09/0.36 tff(132,plain,
% 0.09/0.36 (![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))),
% 0.09/0.36 inference(rewrite,[status(thm)],[])).
% 0.09/0.36 tff(133,plain,
% 0.09/0.36 (^[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)))),
% 0.09/0.36 inference(bind,[status(th)],[])).
% 0.09/0.36 tff(134,plain,
% 0.09/0.36 (![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))),
% 0.09/0.36 inference(quant_intro,[status(thm)],[133])).
% 0.09/0.36 tff(135,axiom,(![X: $i, T: $i] : ((organization(X) & (age(X, T) = zero)) => is_aligned(X, T))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','assumption_13')).
% 0.09/0.36 tff(136,plain,
% 0.09/0.36 (![X: $i, T: $i] : ((~(organization(X) & (age(X, T) = zero))) | is_aligned(X, T))),
% 0.09/0.36 inference(modus_ponens,[status(thm)],[135, 134])).
% 0.09/0.36 tff(137,plain,
% 0.09/0.36 (![X: $i, T: $i] : ((~(organization(X) & (age(X, T) = zero))) | is_aligned(X, T))),
% 0.09/0.36 inference(modus_ponens,[status(thm)],[136, 132])).
% 0.09/0.36 tff(138,plain,(
% 0.09/0.36 ![X: $i, T: $i] : ((~(organization(X) & (age(X, T) = zero))) | is_aligned(X, T))),
% 0.09/0.36 inference(skolemize,[status(sab)],[137])).
% 0.09/0.36 tff(139,plain,
% 0.09/0.36 (![X: $i, T: $i] : (is_aligned(X, T) | (~organization(X)) | (~(age(X, T) = zero)))),
% 0.09/0.36 inference(modus_ponens,[status(thm)],[138, 131])).
% 0.09/0.36 tff(140,plain,
% 0.09/0.36 (![X: $i, T: $i] : (is_aligned(X, T) | (~organization(X)) | (~(age(X, T) = zero)))),
% 0.09/0.36 inference(modus_ponens,[status(thm)],[139, 129])).
% 0.09/0.36 tff(141,plain,
% 0.09/0.36 (((~![X: $i, T: $i] : (is_aligned(X, T) | (~organization(X)) | (~(age(X, T) = zero)))) | ((~organization(X!3)) | is_aligned(X!3, T0!2) | (~(age(X!3, T0!2) = zero)))) <=> ((~![X: $i, T: $i] : (is_aligned(X, T) | (~organization(X)) | (~(age(X, T) = zero)))) | (~organization(X!3)) | is_aligned(X!3, T0!2) | (~(age(X!3, T0!2) = zero)))),
% 0.09/0.36 inference(rewrite,[status(thm)],[])).
% 0.09/0.36 tff(142,plain,
% 0.09/0.36 ((is_aligned(X!3, T0!2) | (~organization(X!3)) | (~(age(X!3, T0!2) = zero))) <=> ((~organization(X!3)) | is_aligned(X!3, T0!2) | (~(age(X!3, T0!2) = zero)))),
% 0.09/0.36 inference(rewrite,[status(thm)],[])).
% 0.09/0.36 tff(143,plain,
% 0.09/0.36 (((~![X: $i, T: $i] : (is_aligned(X, T) | (~organization(X)) | (~(age(X, T) = zero)))) | (is_aligned(X!3, T0!2) | (~organization(X!3)) | (~(age(X!3, T0!2) = zero)))) <=> ((~![X: $i, T: $i] : (is_aligned(X, T) | (~organization(X)) | (~(age(X, T) = zero)))) | ((~organization(X!3)) | is_aligned(X!3, T0!2) | (~(age(X!3, T0!2) = zero))))),
% 0.09/0.36 inference(monotonicity,[status(thm)],[142])).
% 0.09/0.36 tff(144,plain,
% 0.09/0.36 (((~![X: $i, T: $i] : (is_aligned(X, T) | (~organization(X)) | (~(age(X, T) = zero)))) | (is_aligned(X!3, T0!2) | (~organization(X!3)) | (~(age(X!3, T0!2) = zero)))) <=> ((~![X: $i, T: $i] : (is_aligned(X, T) | (~organization(X)) | (~(age(X, T) = zero)))) | (~organization(X!3)) | is_aligned(X!3, T0!2) | (~(age(X!3, T0!2) = zero)))),
% 0.09/0.36 inference(transitivity,[status(thm)],[143, 141])).
% 0.09/0.36 tff(145,plain,
% 0.09/0.36 ((~![X: $i, T: $i] : (is_aligned(X, T) | (~organization(X)) | (~(age(X, T) = zero)))) | (is_aligned(X!3, T0!2) | (~organization(X!3)) | (~(age(X!3, T0!2) = zero)))),
% 0.09/0.36 inference(quant_inst,[status(thm)],[])).
% 0.09/0.36 tff(146,plain,
% 0.09/0.36 ((~![X: $i, T: $i] : (is_aligned(X, T) | (~organization(X)) | (~(age(X, T) = zero)))) | (~organization(X!3)) | is_aligned(X!3, T0!2) | (~(age(X!3, T0!2) = zero))),
% 0.09/0.36 inference(modus_ponens,[status(thm)],[145, 144])).
% 0.09/0.36 tff(147,plain,
% 0.09/0.36 (is_aligned(X!3, T0!2)),
% 0.09/0.36 inference(unit_resolution,[status(thm)],[146, 140, 21, 98])).
% 0.09/0.36 tff(148,plain,
% 0.09/0.36 ((is_aligned(X!3, T0!2) <=> is_aligned(X!3, T2!0)) | (~is_aligned(X!3, T0!2)) | (~is_aligned(X!3, T2!0))),
% 0.09/0.36 inference(tautology,[status(thm)],[])).
% 0.09/0.36 tff(149,plain,
% 0.09/0.36 ((is_aligned(X!3, T0!2) <=> is_aligned(X!3, T2!0)) | (~is_aligned(X!3, T2!0))),
% 0.09/0.36 inference(unit_resolution,[status(thm)],[148, 147])).
% 0.09/0.36 tff(150,plain,
% 0.09/0.36 (~is_aligned(X!3, T2!0)),
% 0.09/0.36 inference(unit_resolution,[status(thm)],[149, 127])).
% 0.09/0.36 tff(151,assumption,(is_aligned(X!3, T1!1)), introduced(assumption)).
% 0.09/0.36 tff(152,assumption,(~greater(capability(X!3, T1!1), capability(X!3, T2!0))), introduced(assumption)).
% 0.09/0.36 tff(153,plain,
% 0.09/0.36 (^[X: $i, T0: $i, T: $i] : refl((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))))),
% 0.09/0.36 inference(bind,[status(th)],[])).
% 0.09/0.36 tff(154,plain,
% 0.09/0.36 (![X: $i, T0: $i, T: $i] : (is_aligned(X, T) | greater(capability(X, T0), capability(X, T)) | (~organization(X)) | (~is_aligned(X, T0))) <=> ![X: $i, T0: $i, T: $i] : (is_aligned(X, T) | greater(capability(X, T0), capability(X, T)) | (~organization(X)) | (~is_aligned(X, T0)))),
% 0.09/0.36 inference(quant_intro,[status(thm)],[153])).
% 0.09/0.36 tff(155,plain,
% 0.09/0.36 (^[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)) | (~organization(X)) | (~is_aligned(X, T0)))), (((~(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)) | (~organization(X)) | (~is_aligned(X, T0)))))),
% 0.09/0.36 inference(bind,[status(th)],[])).
% 0.09/0.36 tff(156,plain,
% 0.09/0.36 (![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)) | (~organization(X)) | (~is_aligned(X, T0)))),
% 0.09/0.36 inference(quant_intro,[status(thm)],[155])).
% 0.09/0.36 tff(157,plain,
% 0.09/0.36 (![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)))),
% 0.09/0.36 inference(rewrite,[status(thm)],[])).
% 0.09/0.36 tff(158,plain,
% 0.09/0.36 (^[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)))))),
% 0.09/0.36 inference(bind,[status(th)],[])).
% 0.09/0.36 tff(159,plain,
% 0.09/0.36 (![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)))),
% 0.09/0.36 inference(quant_intro,[status(thm)],[158])).
% 0.09/0.36 tff(160,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')).
% 0.09/0.36 tff(161,plain,
% 0.09/0.36 (![X: $i, T0: $i, T: $i] : ((~(organization(X) & is_aligned(X, T0) & (~is_aligned(X, T)))) | greater(capability(X, T0), capability(X, T)))),
% 0.09/0.37 inference(modus_ponens,[status(thm)],[160, 159])).
% 0.09/0.37 tff(162,plain,
% 0.09/0.37 (![X: $i, T0: $i, T: $i] : ((~(organization(X) & is_aligned(X, T0) & (~is_aligned(X, T)))) | greater(capability(X, T0), capability(X, T)))),
% 0.09/0.37 inference(modus_ponens,[status(thm)],[161, 157])).
% 0.09/0.37 tff(163,plain,(
% 0.09/0.37 ![X: $i, T0: $i, T: $i] : ((~(organization(X) & is_aligned(X, T0) & (~is_aligned(X, T)))) | greater(capability(X, T0), capability(X, T)))),
% 0.09/0.37 inference(skolemize,[status(sab)],[162])).
% 0.09/0.37 tff(164,plain,
% 0.09/0.37 (![X: $i, T0: $i, T: $i] : (is_aligned(X, T) | greater(capability(X, T0), capability(X, T)) | (~organization(X)) | (~is_aligned(X, T0)))),
% 0.09/0.37 inference(modus_ponens,[status(thm)],[163, 156])).
% 0.09/0.37 tff(165,plain,
% 0.09/0.37 (![X: $i, T0: $i, T: $i] : (is_aligned(X, T) | greater(capability(X, T0), capability(X, T)) | (~organization(X)) | (~is_aligned(X, T0)))),
% 0.09/0.37 inference(modus_ponens,[status(thm)],[164, 154])).
% 0.09/0.37 tff(166,plain,
% 0.09/0.37 (((~![X: $i, T0: $i, T: $i] : (is_aligned(X, T) | greater(capability(X, T0), capability(X, T)) | (~organization(X)) | (~is_aligned(X, T0)))) | ((~organization(X!3)) | greater(capability(X!3, T1!1), capability(X!3, T2!0)) | is_aligned(X!3, T2!0) | (~is_aligned(X!3, T1!1)))) <=> ((~![X: $i, T0: $i, T: $i] : (is_aligned(X, T) | greater(capability(X, T0), capability(X, T)) | (~organization(X)) | (~is_aligned(X, T0)))) | (~organization(X!3)) | greater(capability(X!3, T1!1), capability(X!3, T2!0)) | is_aligned(X!3, T2!0) | (~is_aligned(X!3, T1!1)))),
% 0.09/0.37 inference(rewrite,[status(thm)],[])).
% 0.09/0.37 tff(167,plain,
% 0.09/0.37 ((is_aligned(X!3, T2!0) | greater(capability(X!3, T1!1), capability(X!3, T2!0)) | (~organization(X!3)) | (~is_aligned(X!3, T1!1))) <=> ((~organization(X!3)) | greater(capability(X!3, T1!1), capability(X!3, T2!0)) | is_aligned(X!3, T2!0) | (~is_aligned(X!3, T1!1)))),
% 0.09/0.37 inference(rewrite,[status(thm)],[])).
% 0.09/0.37 tff(168,plain,
% 0.09/0.37 (((~![X: $i, T0: $i, T: $i] : (is_aligned(X, T) | greater(capability(X, T0), capability(X, T)) | (~organization(X)) | (~is_aligned(X, T0)))) | (is_aligned(X!3, T2!0) | greater(capability(X!3, T1!1), capability(X!3, T2!0)) | (~organization(X!3)) | (~is_aligned(X!3, T1!1)))) <=> ((~![X: $i, T0: $i, T: $i] : (is_aligned(X, T) | greater(capability(X, T0), capability(X, T)) | (~organization(X)) | (~is_aligned(X, T0)))) | ((~organization(X!3)) | greater(capability(X!3, T1!1), capability(X!3, T2!0)) | is_aligned(X!3, T2!0) | (~is_aligned(X!3, T1!1))))),
% 0.09/0.37 inference(monotonicity,[status(thm)],[167])).
% 0.09/0.37 tff(169,plain,
% 0.09/0.37 (((~![X: $i, T0: $i, T: $i] : (is_aligned(X, T) | greater(capability(X, T0), capability(X, T)) | (~organization(X)) | (~is_aligned(X, T0)))) | (is_aligned(X!3, T2!0) | greater(capability(X!3, T1!1), capability(X!3, T2!0)) | (~organization(X!3)) | (~is_aligned(X!3, T1!1)))) <=> ((~![X: $i, T0: $i, T: $i] : (is_aligned(X, T) | greater(capability(X, T0), capability(X, T)) | (~organization(X)) | (~is_aligned(X, T0)))) | (~organization(X!3)) | greater(capability(X!3, T1!1), capability(X!3, T2!0)) | is_aligned(X!3, T2!0) | (~is_aligned(X!3, T1!1)))),
% 0.09/0.37 inference(transitivity,[status(thm)],[168, 166])).
% 0.09/0.37 tff(170,plain,
% 0.09/0.37 ((~![X: $i, T0: $i, T: $i] : (is_aligned(X, T) | greater(capability(X, T0), capability(X, T)) | (~organization(X)) | (~is_aligned(X, T0)))) | (is_aligned(X!3, T2!0) | greater(capability(X!3, T1!1), capability(X!3, T2!0)) | (~organization(X!3)) | (~is_aligned(X!3, T1!1)))),
% 0.09/0.37 inference(quant_inst,[status(thm)],[])).
% 0.09/0.37 tff(171,plain,
% 0.09/0.37 ((~![X: $i, T0: $i, T: $i] : (is_aligned(X, T) | greater(capability(X, T0), capability(X, T)) | (~organization(X)) | (~is_aligned(X, T0)))) | (~organization(X!3)) | greater(capability(X!3, T1!1), capability(X!3, T2!0)) | is_aligned(X!3, T2!0) | (~is_aligned(X!3, T1!1))),
% 0.09/0.37 inference(modus_ponens,[status(thm)],[170, 169])).
% 0.09/0.37 tff(172,plain,
% 0.09/0.37 ($false),
% 0.09/0.37 inference(unit_resolution,[status(thm)],[171, 165, 21, 152, 151, 150])).
% 0.09/0.37 tff(173,plain,(greater(capability(X!3, T1!1), capability(X!3, T2!0)) | (~is_aligned(X!3, T1!1))), inference(lemma,lemma(discharge,[]))).
% 0.09/0.37 tff(174,plain,
% 0.09/0.37 (~is_aligned(X!3, T1!1)),
% 0.09/0.37 inference(unit_resolution,[status(thm)],[173, 85])).
% 0.09/0.37 tff(175,plain,
% 0.09/0.37 ((~(is_aligned(X!3, T0!2) <=> is_aligned(X!3, T1!1))) | (~is_aligned(X!3, T0!2)) | is_aligned(X!3, T1!1)),
% 0.09/0.37 inference(tautology,[status(thm)],[])).
% 0.09/0.37 tff(176,plain,
% 0.09/0.37 ((~(is_aligned(X!3, T0!2) <=> is_aligned(X!3, T1!1))) | is_aligned(X!3, T1!1)),
% 0.09/0.37 inference(unit_resolution,[status(thm)],[175, 147])).
% 0.09/0.37 tff(177,plain,
% 0.09/0.37 (~(is_aligned(X!3, T0!2) <=> is_aligned(X!3, T1!1))),
% 0.09/0.37 inference(unit_resolution,[status(thm)],[176, 174])).
% 0.09/0.37 tff(178,plain,
% 0.09/0.37 ((~((~organization(X!3)) | (is_aligned(X!3, T0!2) <=> is_aligned(X!3, T1!1)))) | (~organization(X!3)) | (is_aligned(X!3, T0!2) <=> is_aligned(X!3, T1!1))),
% 0.09/0.37 inference(tautology,[status(thm)],[])).
% 0.09/0.37 tff(179,plain,
% 0.09/0.37 ((~((~organization(X!3)) | (is_aligned(X!3, T0!2) <=> is_aligned(X!3, T1!1)))) | (is_aligned(X!3, T0!2) <=> is_aligned(X!3, T1!1))),
% 0.09/0.37 inference(unit_resolution,[status(thm)],[178, 21])).
% 0.09/0.37 tff(180,plain,
% 0.09/0.37 (~((~organization(X!3)) | (is_aligned(X!3, T0!2) <=> is_aligned(X!3, T1!1)))),
% 0.09/0.37 inference(unit_resolution,[status(thm)],[179, 177])).
% 0.09/0.37 tff(181,plain,
% 0.09/0.37 ((~![X: $i, T0: $i, T: $i] : (~(((~organization(X)) | (is_aligned(X, T0) <=> is_aligned(X, T))) <=> dissimilar(X, T0, T)))) | (~(((~organization(X!3)) | (is_aligned(X!3, T0!2) <=> is_aligned(X!3, T1!1))) <=> dissimilar(X!3, T0!2, T1!1)))),
% 0.09/0.37 inference(quant_inst,[status(thm)],[])).
% 0.09/0.37 tff(182,plain,
% 0.09/0.37 (~(((~organization(X!3)) | (is_aligned(X!3, T0!2) <=> is_aligned(X!3, T1!1))) <=> dissimilar(X!3, T0!2, T1!1))),
% 0.09/0.37 inference(unit_resolution,[status(thm)],[181, 95])).
% 0.09/0.37 tff(183,plain,
% 0.09/0.37 ((((~organization(X!3)) | (is_aligned(X!3, T0!2) <=> is_aligned(X!3, T1!1))) <=> dissimilar(X!3, T0!2, T1!1)) | ((~organization(X!3)) | (is_aligned(X!3, T0!2) <=> is_aligned(X!3, T1!1))) | dissimilar(X!3, T0!2, T1!1)),
% 0.09/0.37 inference(tautology,[status(thm)],[])).
% 0.09/0.37 tff(184,plain,
% 0.09/0.37 (((~organization(X!3)) | (is_aligned(X!3, T0!2) <=> is_aligned(X!3, T1!1))) | dissimilar(X!3, T0!2, T1!1)),
% 0.09/0.37 inference(unit_resolution,[status(thm)],[183, 182])).
% 0.09/0.37 tff(185,plain,
% 0.09/0.37 (dissimilar(X!3, T0!2, T1!1)),
% 0.09/0.37 inference(unit_resolution,[status(thm)],[184, 180])).
% 0.09/0.37 tff(186,plain,
% 0.09/0.37 (((~![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))) | ((~organization(X!3)) | (~(age(X!3, T0!2) = zero)) | (greater(age(X!3, T1!1), sigma) <=> dissimilar(X!3, T0!2, T1!1)))) <=> ((~![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))) | (~organization(X!3)) | (~(age(X!3, T0!2) = zero)) | (greater(age(X!3, T1!1), sigma) <=> dissimilar(X!3, T0!2, T1!1)))),
% 0.09/0.37 inference(rewrite,[status(thm)],[])).
% 0.09/0.37 tff(187,plain,
% 0.09/0.37 (((greater(age(X!3, T1!1), sigma) <=> dissimilar(X!3, T0!2, T1!1)) | (~organization(X!3)) | (~(age(X!3, T0!2) = zero))) <=> ((~organization(X!3)) | (~(age(X!3, T0!2) = zero)) | (greater(age(X!3, T1!1), sigma) <=> dissimilar(X!3, T0!2, T1!1)))),
% 0.09/0.37 inference(rewrite,[status(thm)],[])).
% 0.09/0.37 tff(188,plain,
% 0.09/0.37 (((~![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))) | ((greater(age(X!3, T1!1), sigma) <=> dissimilar(X!3, T0!2, T1!1)) | (~organization(X!3)) | (~(age(X!3, T0!2) = zero)))) <=> ((~![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))) | ((~organization(X!3)) | (~(age(X!3, T0!2) = zero)) | (greater(age(X!3, T1!1), sigma) <=> dissimilar(X!3, T0!2, T1!1))))),
% 0.09/0.37 inference(monotonicity,[status(thm)],[187])).
% 0.09/0.37 tff(189,plain,
% 0.09/0.37 (((~![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))) | ((greater(age(X!3, T1!1), sigma) <=> dissimilar(X!3, T0!2, T1!1)) | (~organization(X!3)) | (~(age(X!3, T0!2) = zero)))) <=> ((~![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))) | (~organization(X!3)) | (~(age(X!3, T0!2) = zero)) | (greater(age(X!3, T1!1), sigma) <=> dissimilar(X!3, T0!2, T1!1)))),
% 0.09/0.37 inference(transitivity,[status(thm)],[188, 186])).
% 0.09/0.37 tff(190,plain,
% 0.09/0.37 ((~![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))) | ((greater(age(X!3, T1!1), sigma) <=> dissimilar(X!3, T0!2, T1!1)) | (~organization(X!3)) | (~(age(X!3, T0!2) = zero)))),
% 0.09/0.37 inference(quant_inst,[status(thm)],[])).
% 0.09/0.37 tff(191,plain,
% 0.09/0.37 ((~![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))) | (~organization(X!3)) | (~(age(X!3, T0!2) = zero)) | (greater(age(X!3, T1!1), sigma) <=> dissimilar(X!3, T0!2, T1!1))),
% 0.09/0.37 inference(modus_ponens,[status(thm)],[190, 189])).
% 0.09/0.37 tff(192,plain,
% 0.09/0.37 (greater(age(X!3, T1!1), sigma) <=> dissimilar(X!3, T0!2, T1!1)),
% 0.09/0.37 inference(unit_resolution,[status(thm)],[191, 111, 21, 98])).
% 0.09/0.37 tff(193,plain,
% 0.09/0.37 ((~(greater(age(X!3, T1!1), sigma) <=> dissimilar(X!3, T0!2, T1!1))) | greater(age(X!3, T1!1), sigma) | (~dissimilar(X!3, T0!2, T1!1))),
% 0.09/0.37 inference(tautology,[status(thm)],[])).
% 0.09/0.37 tff(194,plain,
% 0.09/0.37 (greater(age(X!3, T1!1), sigma) | (~dissimilar(X!3, T0!2, T1!1))),
% 0.09/0.37 inference(unit_resolution,[status(thm)],[193, 192])).
% 0.09/0.37 tff(195,plain,
% 0.09/0.37 (greater(age(X!3, T1!1), sigma)),
% 0.09/0.37 inference(unit_resolution,[status(thm)],[194, 185])).
% 0.09/0.37 tff(196,plain,
% 0.09/0.37 (^[X: $i, Y: $i] : refl(((~greater(X, Y)) | (~greater(Y, X))) <=> ((~greater(X, Y)) | (~greater(Y, X))))),
% 0.09/0.37 inference(bind,[status(th)],[])).
% 0.09/0.37 tff(197,plain,
% 0.09/0.37 (![X: $i, Y: $i] : ((~greater(X, Y)) | (~greater(Y, X))) <=> ![X: $i, Y: $i] : ((~greater(X, Y)) | (~greater(Y, X)))),
% 0.09/0.37 inference(quant_intro,[status(thm)],[196])).
% 0.09/0.37 tff(198,plain,
% 0.09/0.37 (^[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)))))),
% 0.09/0.37 inference(bind,[status(th)],[])).
% 0.09/0.37 tff(199,plain,
% 0.09/0.37 (![X: $i, Y: $i] : (~(greater(X, Y) & greater(Y, X))) <=> ![X: $i, Y: $i] : ((~greater(X, Y)) | (~greater(Y, X)))),
% 0.09/0.37 inference(quant_intro,[status(thm)],[198])).
% 0.09/0.37 tff(200,plain,
% 0.09/0.37 (![X: $i, Y: $i] : (~(greater(X, Y) & greater(Y, X))) <=> ![X: $i, Y: $i] : (~(greater(X, Y) & greater(Y, X)))),
% 0.09/0.37 inference(rewrite,[status(thm)],[])).
% 0.09/0.37 tff(201,axiom,(![X: $i, Y: $i] : (~(greater(X, Y) & greater(Y, X)))), file('/export/starexec/sandbox/benchmark/Axioms/MGT001+0.ax','meaning_postulate_greater_strict')).
% 0.09/0.37 tff(202,plain,
% 0.09/0.37 (![X: $i, Y: $i] : (~(greater(X, Y) & greater(Y, X)))),
% 0.09/0.37 inference(modus_ponens,[status(thm)],[201, 200])).
% 0.09/0.37 tff(203,plain,(
% 0.09/0.37 ![X: $i, Y: $i] : (~(greater(X, Y) & greater(Y, X)))),
% 0.09/0.37 inference(skolemize,[status(sab)],[202])).
% 0.09/0.37 tff(204,plain,
% 0.09/0.37 (![X: $i, Y: $i] : ((~greater(X, Y)) | (~greater(Y, X)))),
% 0.09/0.37 inference(modus_ponens,[status(thm)],[203, 199])).
% 0.09/0.37 tff(205,plain,
% 0.09/0.37 (![X: $i, Y: $i] : ((~greater(X, Y)) | (~greater(Y, X)))),
% 0.09/0.37 inference(modus_ponens,[status(thm)],[204, 197])).
% 0.09/0.37 tff(206,plain,
% 0.09/0.37 (((~![X: $i, Y: $i] : ((~greater(X, Y)) | (~greater(Y, X)))) | ((~greater(sigma, age(X!3, T1!1))) | (~greater(age(X!3, T1!1), sigma)))) <=> ((~![X: $i, Y: $i] : ((~greater(X, Y)) | (~greater(Y, X)))) | (~greater(sigma, age(X!3, T1!1))) | (~greater(age(X!3, T1!1), sigma)))),
% 0.09/0.37 inference(rewrite,[status(thm)],[])).
% 0.09/0.37 tff(207,plain,
% 0.09/0.37 ((~![X: $i, Y: $i] : ((~greater(X, Y)) | (~greater(Y, X)))) | ((~greater(sigma, age(X!3, T1!1))) | (~greater(age(X!3, T1!1), sigma)))),
% 0.09/0.37 inference(quant_inst,[status(thm)],[])).
% 0.09/0.37 tff(208,plain,
% 0.09/0.37 ((~![X: $i, Y: $i] : ((~greater(X, Y)) | (~greater(Y, X)))) | (~greater(sigma, age(X!3, T1!1))) | (~greater(age(X!3, T1!1), sigma))),
% 0.09/0.37 inference(modus_ponens,[status(thm)],[207, 206])).
% 0.09/0.37 tff(209,plain,
% 0.09/0.37 ((~greater(sigma, age(X!3, T1!1))) | (~greater(age(X!3, T1!1), sigma))),
% 0.09/0.37 inference(unit_resolution,[status(thm)],[208, 205])).
% 0.09/0.37 tff(210,plain,
% 0.09/0.37 (~greater(sigma, age(X!3, T1!1))),
% 0.09/0.37 inference(unit_resolution,[status(thm)],[209, 195])).
% 0.09/0.37 tff(211,plain,
% 0.09/0.37 ((~(smaller(age(X!3, T1!1), sigma) <=> greater(sigma, age(X!3, T1!1)))) | (~smaller(age(X!3, T1!1), sigma)) | greater(sigma, age(X!3, T1!1))),
% 0.09/0.37 inference(tautology,[status(thm)],[])).
% 0.09/0.37 tff(212,plain,
% 0.09/0.37 ((~(smaller(age(X!3, T1!1), sigma) <=> greater(sigma, age(X!3, T1!1)))) | (~smaller(age(X!3, T1!1), sigma))),
% 0.09/0.37 inference(unit_resolution,[status(thm)],[211, 210])).
% 0.09/0.37 tff(213,plain,
% 0.09/0.37 (~smaller(age(X!3, T1!1), sigma)),
% 0.09/0.37 inference(unit_resolution,[status(thm)],[212, 9])).
% 0.09/0.37 tff(214,plain,
% 0.09/0.37 (^[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))))),
% 0.09/0.37 inference(bind,[status(th)],[])).
% 0.09/0.37 tff(215,plain,
% 0.09/0.37 (![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)))),
% 0.09/0.37 inference(quant_intro,[status(thm)],[214])).
% 0.09/0.37 tff(216,plain,
% 0.09/0.37 (![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)))),
% 0.09/0.37 inference(rewrite,[status(thm)],[])).
% 0.09/0.37 tff(217,plain,
% 0.09/0.37 (^[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))))),
% 0.09/0.37 inference(bind,[status(th)],[])).
% 0.09/0.37 tff(218,plain,
% 0.09/0.37 (![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)))),
% 0.09/0.37 inference(quant_intro,[status(thm)],[217])).
% 0.09/0.37 tff(219,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')).
% 0.09/0.37 tff(220,plain,
% 0.09/0.37 (![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))),
% 0.09/0.37 inference(modus_ponens,[status(thm)],[219, 218])).
% 0.09/0.37 tff(221,plain,
% 0.09/0.37 (![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))),
% 0.09/0.37 inference(modus_ponens,[status(thm)],[220, 216])).
% 0.09/0.37 tff(222,plain,(
% 0.09/0.37 ![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))),
% 0.09/0.37 inference(skolemize,[status(sab)],[221])).
% 0.09/0.37 tff(223,plain,
% 0.09/0.37 (![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))),
% 0.09/0.37 inference(modus_ponens,[status(thm)],[222, 215])).
% 0.09/0.37 tff(224,plain,
% 0.09/0.37 ((~![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))) | (smaller_or_equal(age(X!3, T1!1), sigma) <=> ((age(X!3, T1!1) = sigma) | smaller(age(X!3, T1!1), sigma)))),
% 0.09/0.37 inference(quant_inst,[status(thm)],[])).
% 0.09/0.37 tff(225,plain,
% 0.09/0.37 (smaller_or_equal(age(X!3, T1!1), sigma) <=> ((age(X!3, T1!1) = sigma) | smaller(age(X!3, T1!1), sigma))),
% 0.09/0.37 inference(unit_resolution,[status(thm)],[224, 223])).
% 0.09/0.37 tff(226,plain,
% 0.09/0.37 (smaller_or_equal(age(X!3, T1!1), sigma)),
% 0.09/0.37 inference(and_elim,[status(thm)],[19])).
% 0.09/0.37 tff(227,plain,
% 0.09/0.37 ((~(smaller_or_equal(age(X!3, T1!1), sigma) <=> ((age(X!3, T1!1) = sigma) | smaller(age(X!3, T1!1), sigma)))) | (~smaller_or_equal(age(X!3, T1!1), sigma)) | ((age(X!3, T1!1) = sigma) | smaller(age(X!3, T1!1), sigma))),
% 0.09/0.37 inference(tautology,[status(thm)],[])).
% 0.09/0.37 tff(228,plain,
% 0.09/0.37 ((~(smaller_or_equal(age(X!3, T1!1), sigma) <=> ((age(X!3, T1!1) = sigma) | smaller(age(X!3, T1!1), sigma)))) | ((age(X!3, T1!1) = sigma) | smaller(age(X!3, T1!1), sigma))),
% 0.09/0.37 inference(unit_resolution,[status(thm)],[227, 226])).
% 0.09/0.37 tff(229,plain,
% 0.09/0.37 ((age(X!3, T1!1) = sigma) | smaller(age(X!3, T1!1), sigma)),
% 0.09/0.37 inference(unit_resolution,[status(thm)],[228, 225])).
% 0.09/0.37 tff(230,plain,
% 0.09/0.37 ((~((age(X!3, T1!1) = sigma) | smaller(age(X!3, T1!1), sigma))) | (age(X!3, T1!1) = sigma) | smaller(age(X!3, T1!1), sigma)),
% 0.09/0.37 inference(tautology,[status(thm)],[])).
% 0.09/0.37 tff(231,plain,
% 0.09/0.37 ((age(X!3, T1!1) = sigma) | smaller(age(X!3, T1!1), sigma)),
% 0.09/0.37 inference(unit_resolution,[status(thm)],[230, 229])).
% 0.09/0.37 tff(232,plain,
% 0.09/0.37 (age(X!3, T1!1) = sigma),
% 0.09/0.37 inference(unit_resolution,[status(thm)],[231, 213])).
% 0.09/0.37 tff(233,plain,
% 0.09/0.37 (sigma = age(X!3, T1!1)),
% 0.09/0.37 inference(symmetry,[status(thm)],[232])).
% 0.09/0.37 tff(234,plain,
% 0.09/0.37 (greater(sigma, age(X!3, T1!1)) <=> greater(age(X!3, T1!1), sigma)),
% 0.09/0.37 inference(monotonicity,[status(thm)],[233, 232])).
% 0.09/0.37 tff(235,plain,
% 0.09/0.37 (greater(age(X!3, T1!1), sigma) <=> greater(sigma, age(X!3, T1!1))),
% 0.09/0.37 inference(symmetry,[status(thm)],[234])).
% 0.09/0.37 tff(236,plain,
% 0.09/0.37 (greater(sigma, age(X!3, T1!1))),
% 0.09/0.37 inference(modus_ponens,[status(thm)],[195, 235])).
% 0.09/0.37 tff(237,plain,
% 0.09/0.37 ($false),
% 0.09/0.37 inference(unit_resolution,[status(thm)],[210, 236])).
% 0.09/0.37 % SZS output end Proof
% 0.09/0.37 % E exiting
%------------------------------------------------------------------------------