TSTP Solution File: MGT062+1 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : MGT062+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n017.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 05:22:19 EDT 2022
% Result : Theorem 0.19s 0.53s
% Output : Proof 0.53s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : MGT062+1 : TPTP v8.1.0. Released v2.4.0.
% 0.12/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.34 % Computer : n017.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 02:21:37 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.34 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.19/0.34 Usage: tptp [options] [-file:]file
% 0.19/0.34 -h, -? prints this message.
% 0.19/0.34 -smt2 print SMT-LIB2 benchmark.
% 0.19/0.34 -m, -model generate model.
% 0.19/0.34 -p, -proof generate proof.
% 0.19/0.34 -c, -core generate unsat core of named formulas.
% 0.19/0.34 -st, -statistics display statistics.
% 0.19/0.34 -t:timeout set timeout (in second).
% 0.19/0.34 -smt2status display status in smt2 format instead of SZS.
% 0.19/0.34 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.19/0.34 -<param>:<value> configuration parameter and value.
% 0.19/0.34 -o:<output-file> file to place output in.
% 0.19/0.53 % SZS status Theorem
% 0.19/0.53 % SZS output start Proof
% 0.19/0.53 tff(dissimilar_type, type, (
% 0.19/0.53 dissimilar: ( $i * $i * $i ) > $o)).
% 0.19/0.53 tff(tptp_fun_T1_2_type, type, (
% 0.19/0.53 tptp_fun_T1_2: $i)).
% 0.19/0.53 tff(tptp_fun_T0_3_type, type, (
% 0.19/0.53 tptp_fun_T0_3: $i)).
% 0.19/0.53 tff(tptp_fun_X_4_type, type, (
% 0.19/0.53 tptp_fun_X_4: $i)).
% 0.19/0.53 tff(greater_type, type, (
% 0.19/0.53 greater: ( $i * $i ) > $o)).
% 0.19/0.53 tff(sigma_type, type, (
% 0.19/0.53 sigma: $i)).
% 0.19/0.53 tff(age_type, type, (
% 0.19/0.53 age: ( $i * $i ) > $i)).
% 0.19/0.53 tff(is_aligned_type, type, (
% 0.19/0.53 is_aligned: ( $i * $i ) > $o)).
% 0.19/0.53 tff(organization_type, type, (
% 0.19/0.53 organization: $i > $o)).
% 0.19/0.53 tff(mod2_type, type, (
% 0.19/0.53 mod2: $i)).
% 0.19/0.53 tff(hazard_of_mortality_type, type, (
% 0.19/0.53 hazard_of_mortality: ( $i * $i ) > $i)).
% 0.19/0.53 tff(smaller_type, type, (
% 0.19/0.53 smaller: ( $i * $i ) > $o)).
% 0.19/0.53 tff(tptp_fun_T2_1_type, type, (
% 0.19/0.53 tptp_fun_T2_1: $i)).
% 0.19/0.53 tff(mod1_type, type, (
% 0.19/0.53 mod1: $i)).
% 0.19/0.53 tff(zero_type, type, (
% 0.19/0.53 zero: $i)).
% 0.19/0.53 tff(smaller_or_equal_type, type, (
% 0.19/0.53 smaller_or_equal: ( $i * $i ) > $o)).
% 0.19/0.53 tff(tau_type, type, (
% 0.19/0.53 tau: $i)).
% 0.19/0.53 tff(has_endowment_type, type, (
% 0.19/0.53 has_endowment: $i > $o)).
% 0.19/0.53 tff(robust_position_type, type, (
% 0.19/0.53 robust_position: $i > $o)).
% 0.19/0.53 tff(positional_advantage_type, type, (
% 0.19/0.53 positional_advantage: ( $i * $i ) > $o)).
% 0.19/0.53 tff(high_type, type, (
% 0.19/0.53 high: $i)).
% 0.19/0.53 tff(low_type, type, (
% 0.19/0.53 low: $i)).
% 0.19/0.53 tff(has_immunity_type, type, (
% 0.19/0.53 has_immunity: ( $i * $i ) > $o)).
% 0.19/0.53 tff(very_low_type, type, (
% 0.19/0.53 very_low: $i)).
% 0.19/0.53 tff(tptp_fun_T_0_type, type, (
% 0.19/0.53 tptp_fun_T_0: $i > $i)).
% 0.19/0.53 tff(1,plain,
% 0.19/0.53 (^[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))))))),
% 0.19/0.53 inference(bind,[status(th)],[])).
% 0.19/0.53 tff(2,plain,
% 0.19/0.53 (![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)))))),
% 0.19/0.53 inference(quant_intro,[status(thm)],[1])).
% 0.19/0.53 tff(3,plain,
% 0.19/0.53 (^[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))))))),
% 0.19/0.53 inference(bind,[status(th)],[])).
% 0.19/0.53 tff(4,plain,
% 0.19/0.53 (![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)))))),
% 0.19/0.53 inference(quant_intro,[status(thm)],[3])).
% 0.19/0.53 tff(5,plain,
% 0.19/0.53 (![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))))),
% 0.19/0.53 inference(rewrite,[status(thm)],[])).
% 0.19/0.53 tff(6,plain,
% 0.19/0.53 (^[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)))))),
% 0.19/0.53 inference(bind,[status(th)],[])).
% 0.19/0.53 tff(7,plain,
% 0.19/0.53 (![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))))),
% 0.19/0.53 inference(quant_intro,[status(thm)],[6])).
% 0.19/0.53 tff(8,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')).
% 0.19/0.53 tff(9,plain,
% 0.19/0.53 (![X: $i, T0: $i, T: $i] : (dissimilar(X, T0, T) <=> (organization(X) & ((~is_aligned(X, T0)) <=> is_aligned(X, T))))),
% 0.19/0.53 inference(modus_ponens,[status(thm)],[8, 7])).
% 0.19/0.53 tff(10,plain,
% 0.19/0.53 (![X: $i, T0: $i, T: $i] : (dissimilar(X, T0, T) <=> (organization(X) & ((~is_aligned(X, T0)) <=> is_aligned(X, T))))),
% 0.19/0.53 inference(modus_ponens,[status(thm)],[9, 5])).
% 0.19/0.53 tff(11,plain,(
% 0.19/0.53 ![X: $i, T0: $i, T: $i] : (dissimilar(X, T0, T) <=> (organization(X) & ((~is_aligned(X, T0)) <=> is_aligned(X, T))))),
% 0.19/0.53 inference(skolemize,[status(sab)],[10])).
% 0.19/0.53 tff(12,plain,
% 0.19/0.53 (![X: $i, T0: $i, T: $i] : (dissimilar(X, T0, T) <=> (~((~organization(X)) | (is_aligned(X, T0) <=> is_aligned(X, T)))))),
% 0.19/0.53 inference(modus_ponens,[status(thm)],[11, 4])).
% 0.19/0.53 tff(13,plain,
% 0.19/0.53 (![X: $i, T0: $i, T: $i] : (dissimilar(X, T0, T) <=> (~((~organization(X)) | (is_aligned(X, T0) <=> is_aligned(X, T)))))),
% 0.19/0.53 inference(modus_ponens,[status(thm)],[12, 2])).
% 0.19/0.53 tff(14,plain,
% 0.19/0.53 ((~![X: $i, T0: $i, T: $i] : (dissimilar(X, T0, T) <=> (~((~organization(X)) | (is_aligned(X, T0) <=> is_aligned(X, T)))))) | (dissimilar(X!4, T0!3, T1!2) <=> (~((~organization(X!4)) | (is_aligned(X!4, T0!3) <=> is_aligned(X!4, T1!2)))))),
% 0.19/0.53 inference(quant_inst,[status(thm)],[])).
% 0.19/0.53 tff(15,plain,
% 0.19/0.53 (dissimilar(X!4, T0!3, T1!2) <=> (~((~organization(X!4)) | (is_aligned(X!4, T0!3) <=> is_aligned(X!4, T1!2))))),
% 0.19/0.53 inference(unit_resolution,[status(thm)],[14, 13])).
% 0.19/0.53 tff(16,assumption,(hazard_of_mortality(X!4, T1!2) = mod2), introduced(assumption)).
% 0.19/0.53 tff(17,plain,
% 0.19/0.53 ((~![X: $i, T0: $i, T: $i] : (dissimilar(X, T0, T) <=> (~((~organization(X)) | (is_aligned(X, T0) <=> is_aligned(X, T)))))) | (dissimilar(X!4, T0!3, T2!1) <=> (~((~organization(X!4)) | (is_aligned(X!4, T0!3) <=> is_aligned(X!4, T2!1)))))),
% 0.19/0.53 inference(quant_inst,[status(thm)],[])).
% 0.19/0.53 tff(18,plain,
% 0.19/0.53 (dissimilar(X!4, T0!3, T2!1) <=> (~((~organization(X!4)) | (is_aligned(X!4, T0!3) <=> is_aligned(X!4, T2!1))))),
% 0.19/0.53 inference(unit_resolution,[status(thm)],[17, 13])).
% 0.19/0.53 tff(19,plain,
% 0.19/0.53 ((~![X: $i, T0: $i, T1: $i, T2: $i] : ((~(organization(X) & robust_position(X) & (~has_endowment(X)) & (age(X, T0) = zero) & greater(sigma, zero) & greater(tau, zero) & (sigma = tau) & smaller_or_equal(age(X, T1), sigma) & greater(age(X, T2), sigma))) | (smaller(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] : ((~(organization(X) & robust_position(X) & (~has_endowment(X)) & (age(X, T0) = zero) & greater(sigma, zero) & greater(tau, zero) & (sigma = tau) & smaller_or_equal(age(X, T1), sigma) & greater(age(X, T2), sigma))) | (smaller(hazard_of_mortality(X, T2), hazard_of_mortality(X, T1)) & (hazard_of_mortality(X, T1) = hazard_of_mortality(X, T0)))))),
% 0.19/0.53 inference(rewrite,[status(thm)],[])).
% 0.19/0.53 tff(20,plain,
% 0.19/0.53 ((~![X: $i, T0: $i, T1: $i, T2: $i] : (((((((((organization(X) & robust_position(X)) & (~has_endowment(X))) & (age(X, T0) = zero)) & greater(sigma, zero)) & greater(tau, zero)) & (sigma = tau)) & smaller_or_equal(age(X, T1), sigma)) & greater(age(X, T2), sigma)) => (smaller(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] : ((~(organization(X) & robust_position(X) & (~has_endowment(X)) & (age(X, T0) = zero) & greater(sigma, zero) & greater(tau, zero) & (sigma = tau) & smaller_or_equal(age(X, T1), sigma) & greater(age(X, T2), sigma))) | (smaller(hazard_of_mortality(X, T2), hazard_of_mortality(X, T1)) & (hazard_of_mortality(X, T1) = hazard_of_mortality(X, T0)))))),
% 0.19/0.53 inference(rewrite,[status(thm)],[])).
% 0.19/0.53 tff(21,axiom,(~![X: $i, T0: $i, T1: $i, T2: $i] : (((((((((organization(X) & robust_position(X)) & (~has_endowment(X))) & (age(X, T0) = zero)) & greater(sigma, zero)) & greater(tau, zero)) & (sigma = tau)) & smaller_or_equal(age(X, T1), sigma)) & greater(age(X, T2), sigma)) => (smaller(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','theorem_8')).
% 0.19/0.53 tff(22,plain,
% 0.19/0.53 (~![X: $i, T0: $i, T1: $i, T2: $i] : ((~(organization(X) & robust_position(X) & (~has_endowment(X)) & (age(X, T0) = zero) & greater(sigma, zero) & greater(tau, zero) & (sigma = tau) & smaller_or_equal(age(X, T1), sigma) & greater(age(X, T2), sigma))) | (smaller(hazard_of_mortality(X, T2), hazard_of_mortality(X, T1)) & (hazard_of_mortality(X, T1) = hazard_of_mortality(X, T0))))),
% 0.19/0.53 inference(modus_ponens,[status(thm)],[21, 20])).
% 0.19/0.53 tff(23,plain,
% 0.19/0.53 (~![X: $i, T0: $i, T1: $i, T2: $i] : ((~(organization(X) & robust_position(X) & (~has_endowment(X)) & (age(X, T0) = zero) & greater(sigma, zero) & greater(tau, zero) & (sigma = tau) & smaller_or_equal(age(X, T1), sigma) & greater(age(X, T2), sigma))) | (smaller(hazard_of_mortality(X, T2), hazard_of_mortality(X, T1)) & (hazard_of_mortality(X, T1) = hazard_of_mortality(X, T0))))),
% 0.19/0.53 inference(modus_ponens,[status(thm)],[22, 19])).
% 0.19/0.53 tff(24,plain,
% 0.19/0.53 (~![X: $i, T0: $i, T1: $i, T2: $i] : ((~(organization(X) & robust_position(X) & (~has_endowment(X)) & (age(X, T0) = zero) & greater(sigma, zero) & greater(tau, zero) & (sigma = tau) & smaller_or_equal(age(X, T1), sigma) & greater(age(X, T2), sigma))) | (smaller(hazard_of_mortality(X, T2), hazard_of_mortality(X, T1)) & (hazard_of_mortality(X, T1) = hazard_of_mortality(X, T0))))),
% 0.19/0.53 inference(modus_ponens,[status(thm)],[23, 19])).
% 0.19/0.53 tff(25,plain,
% 0.19/0.53 (~![X: $i, T0: $i, T1: $i, T2: $i] : ((~(organization(X) & robust_position(X) & (~has_endowment(X)) & (age(X, T0) = zero) & greater(sigma, zero) & greater(tau, zero) & (sigma = tau) & smaller_or_equal(age(X, T1), sigma) & greater(age(X, T2), sigma))) | (smaller(hazard_of_mortality(X, T2), hazard_of_mortality(X, T1)) & (hazard_of_mortality(X, T1) = hazard_of_mortality(X, T0))))),
% 0.19/0.53 inference(modus_ponens,[status(thm)],[24, 19])).
% 0.19/0.53 tff(26,plain,
% 0.19/0.53 (~![X: $i, T0: $i, T1: $i, T2: $i] : ((~(organization(X) & robust_position(X) & (~has_endowment(X)) & (age(X, T0) = zero) & greater(sigma, zero) & greater(tau, zero) & (sigma = tau) & smaller_or_equal(age(X, T1), sigma) & greater(age(X, T2), sigma))) | (smaller(hazard_of_mortality(X, T2), hazard_of_mortality(X, T1)) & (hazard_of_mortality(X, T1) = hazard_of_mortality(X, T0))))),
% 0.19/0.53 inference(modus_ponens,[status(thm)],[25, 19])).
% 0.19/0.53 tff(27,plain,
% 0.19/0.53 (~![X: $i, T0: $i, T1: $i, T2: $i] : ((~(organization(X) & robust_position(X) & (~has_endowment(X)) & (age(X, T0) = zero) & greater(sigma, zero) & greater(tau, zero) & (sigma = tau) & smaller_or_equal(age(X, T1), sigma) & greater(age(X, T2), sigma))) | (smaller(hazard_of_mortality(X, T2), hazard_of_mortality(X, T1)) & (hazard_of_mortality(X, T1) = hazard_of_mortality(X, T0))))),
% 0.19/0.53 inference(modus_ponens,[status(thm)],[26, 19])).
% 0.19/0.53 tff(28,plain,
% 0.19/0.53 (~![X: $i, T0: $i, T1: $i, T2: $i] : ((~(organization(X) & robust_position(X) & (~has_endowment(X)) & (age(X, T0) = zero) & greater(sigma, zero) & greater(tau, zero) & (sigma = tau) & smaller_or_equal(age(X, T1), sigma) & greater(age(X, T2), sigma))) | (smaller(hazard_of_mortality(X, T2), hazard_of_mortality(X, T1)) & (hazard_of_mortality(X, T1) = hazard_of_mortality(X, T0))))),
% 0.19/0.53 inference(modus_ponens,[status(thm)],[27, 19])).
% 0.19/0.53 tff(29,plain,(
% 0.19/0.53 ~((~(organization(X!4) & robust_position(X!4) & (~has_endowment(X!4)) & (age(X!4, T0!3) = zero) & greater(sigma, zero) & greater(tau, zero) & (sigma = tau) & smaller_or_equal(age(X!4, T1!2), sigma) & greater(age(X!4, T2!1), sigma))) | (smaller(hazard_of_mortality(X!4, T2!1), hazard_of_mortality(X!4, T1!2)) & (hazard_of_mortality(X!4, T1!2) = hazard_of_mortality(X!4, T0!3))))),
% 0.19/0.53 inference(skolemize,[status(sab)],[28])).
% 0.19/0.53 tff(30,plain,
% 0.19/0.53 (organization(X!4) & robust_position(X!4) & (~has_endowment(X!4)) & (age(X!4, T0!3) = zero) & greater(sigma, zero) & greater(tau, zero) & (sigma = tau) & smaller_or_equal(age(X!4, T1!2), sigma) & greater(age(X!4, T2!1), sigma)),
% 0.19/0.53 inference(or_elim,[status(thm)],[29])).
% 0.19/0.53 tff(31,plain,
% 0.19/0.53 (age(X!4, T0!3) = zero),
% 0.19/0.53 inference(and_elim,[status(thm)],[30])).
% 0.19/0.53 tff(32,plain,
% 0.19/0.53 (organization(X!4)),
% 0.19/0.53 inference(and_elim,[status(thm)],[30])).
% 0.19/0.53 tff(33,plain,
% 0.19/0.53 (^[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))))),
% 0.19/0.53 inference(bind,[status(th)],[])).
% 0.19/0.53 tff(34,plain,
% 0.19/0.53 (![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)))),
% 0.19/0.53 inference(quant_intro,[status(thm)],[33])).
% 0.19/0.53 tff(35,plain,
% 0.19/0.53 (^[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)))))),
% 0.19/0.53 inference(bind,[status(th)],[])).
% 0.19/0.53 tff(36,plain,
% 0.19/0.53 (![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)))),
% 0.19/0.53 inference(quant_intro,[status(thm)],[35])).
% 0.19/0.53 tff(37,plain,
% 0.19/0.53 (![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)))),
% 0.19/0.53 inference(rewrite,[status(thm)],[])).
% 0.19/0.53 tff(38,plain,
% 0.19/0.53 (^[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))))),
% 0.19/0.53 inference(bind,[status(th)],[])).
% 0.19/0.53 tff(39,plain,
% 0.19/0.53 (![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)))),
% 0.19/0.53 inference(quant_intro,[status(thm)],[38])).
% 0.19/0.53 tff(40,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')).
% 0.19/0.53 tff(41,plain,
% 0.19/0.53 (![X: $i, T0: $i, T: $i] : ((~(organization(X) & (age(X, T0) = zero))) | (greater(age(X, T), sigma) <=> dissimilar(X, T0, T)))),
% 0.19/0.53 inference(modus_ponens,[status(thm)],[40, 39])).
% 0.19/0.53 tff(42,plain,
% 0.19/0.53 (![X: $i, T0: $i, T: $i] : ((~(organization(X) & (age(X, T0) = zero))) | (greater(age(X, T), sigma) <=> dissimilar(X, T0, T)))),
% 0.19/0.53 inference(modus_ponens,[status(thm)],[41, 37])).
% 0.19/0.53 tff(43,plain,(
% 0.19/0.53 ![X: $i, T0: $i, T: $i] : ((~(organization(X) & (age(X, T0) = zero))) | (greater(age(X, T), sigma) <=> dissimilar(X, T0, T)))),
% 0.19/0.53 inference(skolemize,[status(sab)],[42])).
% 0.19/0.53 tff(44,plain,
% 0.19/0.53 (![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))),
% 0.19/0.53 inference(modus_ponens,[status(thm)],[43, 36])).
% 0.19/0.53 tff(45,plain,
% 0.19/0.53 (![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))),
% 0.19/0.53 inference(modus_ponens,[status(thm)],[44, 34])).
% 0.19/0.53 tff(46,plain,
% 0.19/0.53 (((~![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))) | ((~organization(X!4)) | (~(age(X!4, T0!3) = zero)) | (greater(age(X!4, T2!1), sigma) <=> dissimilar(X!4, T0!3, T2!1)))) <=> ((~![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))) | (~organization(X!4)) | (~(age(X!4, T0!3) = zero)) | (greater(age(X!4, T2!1), sigma) <=> dissimilar(X!4, T0!3, T2!1)))),
% 0.19/0.54 inference(rewrite,[status(thm)],[])).
% 0.19/0.54 tff(47,plain,
% 0.19/0.54 (((greater(age(X!4, T2!1), sigma) <=> dissimilar(X!4, T0!3, T2!1)) | (~organization(X!4)) | (~(age(X!4, T0!3) = zero))) <=> ((~organization(X!4)) | (~(age(X!4, T0!3) = zero)) | (greater(age(X!4, T2!1), sigma) <=> dissimilar(X!4, T0!3, T2!1)))),
% 0.19/0.54 inference(rewrite,[status(thm)],[])).
% 0.19/0.54 tff(48,plain,
% 0.19/0.54 (((~![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))) | ((greater(age(X!4, T2!1), sigma) <=> dissimilar(X!4, T0!3, T2!1)) | (~organization(X!4)) | (~(age(X!4, T0!3) = zero)))) <=> ((~![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))) | ((~organization(X!4)) | (~(age(X!4, T0!3) = zero)) | (greater(age(X!4, T2!1), sigma) <=> dissimilar(X!4, T0!3, T2!1))))),
% 0.19/0.54 inference(monotonicity,[status(thm)],[47])).
% 0.19/0.54 tff(49,plain,
% 0.19/0.54 (((~![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))) | ((greater(age(X!4, T2!1), sigma) <=> dissimilar(X!4, T0!3, T2!1)) | (~organization(X!4)) | (~(age(X!4, T0!3) = zero)))) <=> ((~![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))) | (~organization(X!4)) | (~(age(X!4, T0!3) = zero)) | (greater(age(X!4, T2!1), sigma) <=> dissimilar(X!4, T0!3, T2!1)))),
% 0.19/0.54 inference(transitivity,[status(thm)],[48, 46])).
% 0.19/0.54 tff(50,plain,
% 0.19/0.54 ((~![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))) | ((greater(age(X!4, T2!1), sigma) <=> dissimilar(X!4, T0!3, T2!1)) | (~organization(X!4)) | (~(age(X!4, T0!3) = zero)))),
% 0.19/0.54 inference(quant_inst,[status(thm)],[])).
% 0.19/0.54 tff(51,plain,
% 0.19/0.54 ((~![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))) | (~organization(X!4)) | (~(age(X!4, T0!3) = zero)) | (greater(age(X!4, T2!1), sigma) <=> dissimilar(X!4, T0!3, T2!1))),
% 0.19/0.54 inference(modus_ponens,[status(thm)],[50, 49])).
% 0.19/0.54 tff(52,plain,
% 0.19/0.54 (greater(age(X!4, T2!1), sigma) <=> dissimilar(X!4, T0!3, T2!1)),
% 0.19/0.54 inference(unit_resolution,[status(thm)],[51, 45, 32, 31])).
% 0.19/0.54 tff(53,plain,
% 0.19/0.54 (greater(age(X!4, T2!1), sigma)),
% 0.19/0.54 inference(and_elim,[status(thm)],[30])).
% 0.19/0.54 tff(54,plain,
% 0.19/0.54 ((~(greater(age(X!4, T2!1), sigma) <=> dissimilar(X!4, T0!3, T2!1))) | (~greater(age(X!4, T2!1), sigma)) | dissimilar(X!4, T0!3, T2!1)),
% 0.19/0.54 inference(tautology,[status(thm)],[])).
% 0.19/0.54 tff(55,plain,
% 0.19/0.54 ((~(greater(age(X!4, T2!1), sigma) <=> dissimilar(X!4, T0!3, T2!1))) | dissimilar(X!4, T0!3, T2!1)),
% 0.19/0.54 inference(unit_resolution,[status(thm)],[54, 53])).
% 0.19/0.54 tff(56,plain,
% 0.19/0.54 (dissimilar(X!4, T0!3, T2!1)),
% 0.19/0.54 inference(unit_resolution,[status(thm)],[55, 52])).
% 0.19/0.54 tff(57,plain,
% 0.19/0.54 ((~(dissimilar(X!4, T0!3, T2!1) <=> (~((~organization(X!4)) | (is_aligned(X!4, T0!3) <=> is_aligned(X!4, T2!1)))))) | (~dissimilar(X!4, T0!3, T2!1)) | (~((~organization(X!4)) | (is_aligned(X!4, T0!3) <=> is_aligned(X!4, T2!1))))),
% 0.19/0.54 inference(tautology,[status(thm)],[])).
% 0.19/0.54 tff(58,plain,
% 0.19/0.54 ((~(dissimilar(X!4, T0!3, T2!1) <=> (~((~organization(X!4)) | (is_aligned(X!4, T0!3) <=> is_aligned(X!4, T2!1)))))) | (~((~organization(X!4)) | (is_aligned(X!4, T0!3) <=> is_aligned(X!4, T2!1))))),
% 0.19/0.54 inference(unit_resolution,[status(thm)],[57, 56])).
% 0.19/0.54 tff(59,plain,
% 0.19/0.54 (~((~organization(X!4)) | (is_aligned(X!4, T0!3) <=> is_aligned(X!4, T2!1)))),
% 0.19/0.54 inference(unit_resolution,[status(thm)],[58, 18])).
% 0.19/0.54 tff(60,plain,
% 0.19/0.54 (((~organization(X!4)) | (is_aligned(X!4, T0!3) <=> is_aligned(X!4, T2!1))) | (~(is_aligned(X!4, T0!3) <=> is_aligned(X!4, T2!1)))),
% 0.19/0.54 inference(tautology,[status(thm)],[])).
% 0.19/0.54 tff(61,plain,
% 0.19/0.54 (~(is_aligned(X!4, T0!3) <=> is_aligned(X!4, T2!1))),
% 0.19/0.54 inference(unit_resolution,[status(thm)],[60, 59])).
% 0.19/0.54 tff(62,plain,
% 0.19/0.54 (^[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))))),
% 0.19/0.54 inference(bind,[status(th)],[])).
% 0.19/0.54 tff(63,plain,
% 0.19/0.54 (![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)))),
% 0.19/0.54 inference(quant_intro,[status(thm)],[62])).
% 0.19/0.54 tff(64,plain,
% 0.19/0.54 (^[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)))))),
% 0.19/0.54 inference(bind,[status(th)],[])).
% 0.19/0.54 tff(65,plain,
% 0.19/0.54 (![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)))),
% 0.19/0.54 inference(quant_intro,[status(thm)],[64])).
% 0.19/0.54 tff(66,plain,
% 0.19/0.54 (![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))),
% 0.19/0.54 inference(rewrite,[status(thm)],[])).
% 0.19/0.54 tff(67,plain,
% 0.19/0.54 (^[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)))),
% 0.19/0.54 inference(bind,[status(th)],[])).
% 0.19/0.54 tff(68,plain,
% 0.19/0.54 (![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))),
% 0.19/0.54 inference(quant_intro,[status(thm)],[67])).
% 0.19/0.54 tff(69,axiom,(![X: $i, T: $i] : ((organization(X) & (age(X, T) = zero)) => is_aligned(X, T))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','assumption_13')).
% 0.19/0.54 tff(70,plain,
% 0.19/0.54 (![X: $i, T: $i] : ((~(organization(X) & (age(X, T) = zero))) | is_aligned(X, T))),
% 0.19/0.54 inference(modus_ponens,[status(thm)],[69, 68])).
% 0.19/0.54 tff(71,plain,
% 0.19/0.54 (![X: $i, T: $i] : ((~(organization(X) & (age(X, T) = zero))) | is_aligned(X, T))),
% 0.19/0.54 inference(modus_ponens,[status(thm)],[70, 66])).
% 0.19/0.54 tff(72,plain,(
% 0.19/0.54 ![X: $i, T: $i] : ((~(organization(X) & (age(X, T) = zero))) | is_aligned(X, T))),
% 0.19/0.54 inference(skolemize,[status(sab)],[71])).
% 0.19/0.54 tff(73,plain,
% 0.19/0.54 (![X: $i, T: $i] : (is_aligned(X, T) | (~organization(X)) | (~(age(X, T) = zero)))),
% 0.19/0.54 inference(modus_ponens,[status(thm)],[72, 65])).
% 0.19/0.54 tff(74,plain,
% 0.19/0.54 (![X: $i, T: $i] : (is_aligned(X, T) | (~organization(X)) | (~(age(X, T) = zero)))),
% 0.19/0.54 inference(modus_ponens,[status(thm)],[73, 63])).
% 0.19/0.54 tff(75,plain,
% 0.19/0.54 (((~![X: $i, T: $i] : (is_aligned(X, T) | (~organization(X)) | (~(age(X, T) = zero)))) | (is_aligned(X!4, T0!3) | (~organization(X!4)) | (~(age(X!4, T0!3) = zero)))) <=> ((~![X: $i, T: $i] : (is_aligned(X, T) | (~organization(X)) | (~(age(X, T) = zero)))) | is_aligned(X!4, T0!3) | (~organization(X!4)) | (~(age(X!4, T0!3) = zero)))),
% 0.19/0.54 inference(rewrite,[status(thm)],[])).
% 0.19/0.54 tff(76,plain,
% 0.19/0.54 ((~![X: $i, T: $i] : (is_aligned(X, T) | (~organization(X)) | (~(age(X, T) = zero)))) | (is_aligned(X!4, T0!3) | (~organization(X!4)) | (~(age(X!4, T0!3) = zero)))),
% 0.19/0.54 inference(quant_inst,[status(thm)],[])).
% 0.19/0.54 tff(77,plain,
% 0.19/0.54 ((~![X: $i, T: $i] : (is_aligned(X, T) | (~organization(X)) | (~(age(X, T) = zero)))) | is_aligned(X!4, T0!3) | (~organization(X!4)) | (~(age(X!4, T0!3) = zero))),
% 0.19/0.54 inference(modus_ponens,[status(thm)],[76, 75])).
% 0.19/0.54 tff(78,plain,
% 0.19/0.54 (is_aligned(X!4, T0!3)),
% 0.19/0.54 inference(unit_resolution,[status(thm)],[77, 74, 32, 31])).
% 0.19/0.54 tff(79,plain,
% 0.19/0.54 ((is_aligned(X!4, T0!3) <=> is_aligned(X!4, T2!1)) | (~is_aligned(X!4, T0!3)) | (~is_aligned(X!4, T2!1))),
% 0.19/0.54 inference(tautology,[status(thm)],[])).
% 0.19/0.54 tff(80,plain,
% 0.19/0.54 ((is_aligned(X!4, T0!3) <=> is_aligned(X!4, T2!1)) | (~is_aligned(X!4, T2!1))),
% 0.19/0.54 inference(unit_resolution,[status(thm)],[79, 78])).
% 0.19/0.54 tff(81,plain,
% 0.19/0.54 (~is_aligned(X!4, T2!1)),
% 0.19/0.54 inference(unit_resolution,[status(thm)],[80, 61])).
% 0.19/0.54 tff(82,assumption,(has_immunity(X!4, T2!1)), introduced(assumption)).
% 0.19/0.54 tff(83,plain,
% 0.19/0.54 (~has_endowment(X!4)),
% 0.19/0.54 inference(and_elim,[status(thm)],[30])).
% 0.19/0.54 tff(84,plain,
% 0.19/0.54 (^[X: $i, T: $i] : refl(((~has_immunity(X, T)) | has_endowment(X) | (~organization(X))) <=> ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X))))),
% 0.19/0.54 inference(bind,[status(th)],[])).
% 0.19/0.54 tff(85,plain,
% 0.19/0.54 (![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)))),
% 0.19/0.54 inference(quant_intro,[status(thm)],[84])).
% 0.19/0.54 tff(86,plain,
% 0.19/0.54 (^[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)))))),
% 0.19/0.54 inference(bind,[status(th)],[])).
% 0.19/0.54 tff(87,plain,
% 0.19/0.54 (![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)))),
% 0.19/0.54 inference(quant_intro,[status(thm)],[86])).
% 0.19/0.54 tff(88,plain,
% 0.19/0.54 (![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)))))),
% 0.19/0.54 inference(rewrite,[status(thm)],[])).
% 0.19/0.54 tff(89,plain,
% 0.19/0.54 (^[X: $i, T: $i] : rewrite(((organization(X) & (~has_endowment(X))) => (~has_immunity(X, T))) <=> ((~has_immunity(X, T)) | (~(organization(X) & (~has_endowment(X))))))),
% 0.19/0.54 inference(bind,[status(th)],[])).
% 0.19/0.54 tff(90,plain,
% 0.19/0.54 (![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)))))),
% 0.19/0.54 inference(quant_intro,[status(thm)],[89])).
% 0.19/0.54 tff(91,axiom,(![X: $i, T: $i] : ((organization(X) & (~has_endowment(X))) => (~has_immunity(X, T)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','assumption_1')).
% 0.19/0.54 tff(92,plain,
% 0.19/0.54 (![X: $i, T: $i] : ((~has_immunity(X, T)) | (~(organization(X) & (~has_endowment(X)))))),
% 0.19/0.54 inference(modus_ponens,[status(thm)],[91, 90])).
% 0.19/0.54 tff(93,plain,
% 0.19/0.54 (![X: $i, T: $i] : ((~has_immunity(X, T)) | (~(organization(X) & (~has_endowment(X)))))),
% 0.19/0.54 inference(modus_ponens,[status(thm)],[92, 88])).
% 0.19/0.54 tff(94,plain,(
% 0.19/0.54 ![X: $i, T: $i] : ((~has_immunity(X, T)) | (~(organization(X) & (~has_endowment(X)))))),
% 0.19/0.54 inference(skolemize,[status(sab)],[93])).
% 0.19/0.54 tff(95,plain,
% 0.19/0.54 (![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))),
% 0.19/0.54 inference(modus_ponens,[status(thm)],[94, 87])).
% 0.19/0.54 tff(96,plain,
% 0.19/0.54 (![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))),
% 0.19/0.54 inference(modus_ponens,[status(thm)],[95, 85])).
% 0.19/0.54 tff(97,plain,
% 0.19/0.54 (((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | (has_endowment(X!4) | (~organization(X!4)) | (~has_immunity(X!4, T2!1)))) <=> ((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | has_endowment(X!4) | (~organization(X!4)) | (~has_immunity(X!4, T2!1)))),
% 0.19/0.54 inference(rewrite,[status(thm)],[])).
% 0.19/0.54 tff(98,plain,
% 0.19/0.54 (((~has_immunity(X!4, T2!1)) | has_endowment(X!4) | (~organization(X!4))) <=> (has_endowment(X!4) | (~organization(X!4)) | (~has_immunity(X!4, T2!1)))),
% 0.19/0.54 inference(rewrite,[status(thm)],[])).
% 0.19/0.54 tff(99,plain,
% 0.19/0.54 (((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | ((~has_immunity(X!4, T2!1)) | has_endowment(X!4) | (~organization(X!4)))) <=> ((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | (has_endowment(X!4) | (~organization(X!4)) | (~has_immunity(X!4, T2!1))))),
% 0.19/0.54 inference(monotonicity,[status(thm)],[98])).
% 0.19/0.54 tff(100,plain,
% 0.19/0.54 (((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | ((~has_immunity(X!4, T2!1)) | has_endowment(X!4) | (~organization(X!4)))) <=> ((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | has_endowment(X!4) | (~organization(X!4)) | (~has_immunity(X!4, T2!1)))),
% 0.19/0.54 inference(transitivity,[status(thm)],[99, 97])).
% 0.19/0.54 tff(101,plain,
% 0.19/0.54 ((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | ((~has_immunity(X!4, T2!1)) | has_endowment(X!4) | (~organization(X!4)))),
% 0.19/0.54 inference(quant_inst,[status(thm)],[])).
% 0.19/0.54 tff(102,plain,
% 0.19/0.54 ((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | has_endowment(X!4) | (~organization(X!4)) | (~has_immunity(X!4, T2!1))),
% 0.19/0.54 inference(modus_ponens,[status(thm)],[101, 100])).
% 0.19/0.54 tff(103,plain,
% 0.19/0.54 ($false),
% 0.19/0.54 inference(unit_resolution,[status(thm)],[102, 96, 32, 83, 82])).
% 0.19/0.54 tff(104,plain,(~has_immunity(X!4, T2!1)), inference(lemma,lemma(discharge,[]))).
% 0.19/0.54 tff(105,plain,
% 0.19/0.54 (^[X: $i, T: $i] : refl(((~organization(X)) | (~((~((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low))) | (~(has_immunity(X, T) | (~((~((~positional_advantage(X, T)) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = low))) | (~((~positional_advantage(X, T)) | is_aligned(X, T) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(positional_advantage(X, T) | is_aligned(X, T) | (hazard_of_mortality(X, T) = high)))))))))) <=> ((~organization(X)) | (~((~((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low))) | (~(has_immunity(X, T) | (~((~((~positional_advantage(X, T)) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = low))) | (~((~positional_advantage(X, T)) | is_aligned(X, T) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(positional_advantage(X, T) | is_aligned(X, T) | (hazard_of_mortality(X, T) = high)))))))))))),
% 0.19/0.54 inference(bind,[status(th)],[])).
% 0.19/0.54 tff(106,plain,
% 0.19/0.54 (![X: $i, T: $i] : ((~organization(X)) | (~((~((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low))) | (~(has_immunity(X, T) | (~((~((~positional_advantage(X, T)) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = low))) | (~((~positional_advantage(X, T)) | is_aligned(X, T) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(positional_advantage(X, T) | is_aligned(X, T) | (hazard_of_mortality(X, T) = high)))))))))) <=> ![X: $i, T: $i] : ((~organization(X)) | (~((~((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low))) | (~(has_immunity(X, T) | (~((~((~positional_advantage(X, T)) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = low))) | (~((~positional_advantage(X, T)) | is_aligned(X, T) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(positional_advantage(X, T) | is_aligned(X, T) | (hazard_of_mortality(X, T) = high))))))))))),
% 0.19/0.54 inference(quant_intro,[status(thm)],[105])).
% 0.19/0.54 tff(107,plain,
% 0.19/0.54 (^[X: $i, T: $i] : rewrite(((~organization(X)) | (((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low)) & (has_immunity(X, T) | (((~(is_aligned(X, T) & positional_advantage(X, T))) | (hazard_of_mortality(X, T) = low)) & ((~((~is_aligned(X, T)) & positional_advantage(X, T))) | (hazard_of_mortality(X, T) = mod1)) & ((~(is_aligned(X, T) & (~positional_advantage(X, T)))) | (hazard_of_mortality(X, T) = mod2)) & ((~((~is_aligned(X, T)) & (~positional_advantage(X, T)))) | (hazard_of_mortality(X, T) = high)))))) <=> ((~organization(X)) | (~((~((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low))) | (~(has_immunity(X, T) | (~((~((~positional_advantage(X, T)) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = low))) | (~((~positional_advantage(X, T)) | is_aligned(X, T) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(positional_advantage(X, T) | is_aligned(X, T) | (hazard_of_mortality(X, T) = high)))))))))))),
% 0.19/0.54 inference(bind,[status(th)],[])).
% 0.19/0.54 tff(108,plain,
% 0.19/0.54 (![X: $i, T: $i] : ((~organization(X)) | (((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low)) & (has_immunity(X, T) | (((~(is_aligned(X, T) & positional_advantage(X, T))) | (hazard_of_mortality(X, T) = low)) & ((~((~is_aligned(X, T)) & positional_advantage(X, T))) | (hazard_of_mortality(X, T) = mod1)) & ((~(is_aligned(X, T) & (~positional_advantage(X, T)))) | (hazard_of_mortality(X, T) = mod2)) & ((~((~is_aligned(X, T)) & (~positional_advantage(X, T)))) | (hazard_of_mortality(X, T) = high)))))) <=> ![X: $i, T: $i] : ((~organization(X)) | (~((~((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low))) | (~(has_immunity(X, T) | (~((~((~positional_advantage(X, T)) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = low))) | (~((~positional_advantage(X, T)) | is_aligned(X, T) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(positional_advantage(X, T) | is_aligned(X, T) | (hazard_of_mortality(X, T) = high))))))))))),
% 0.19/0.54 inference(quant_intro,[status(thm)],[107])).
% 0.19/0.54 tff(109,plain,
% 0.19/0.54 (![X: $i, T: $i] : ((~organization(X)) | (((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low)) & (has_immunity(X, T) | (((~(is_aligned(X, T) & positional_advantage(X, T))) | (hazard_of_mortality(X, T) = low)) & ((~((~is_aligned(X, T)) & positional_advantage(X, T))) | (hazard_of_mortality(X, T) = mod1)) & ((~(is_aligned(X, T) & (~positional_advantage(X, T)))) | (hazard_of_mortality(X, T) = mod2)) & ((~((~is_aligned(X, T)) & (~positional_advantage(X, T)))) | (hazard_of_mortality(X, T) = high)))))) <=> ![X: $i, T: $i] : ((~organization(X)) | (((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low)) & (has_immunity(X, T) | (((~(is_aligned(X, T) & positional_advantage(X, T))) | (hazard_of_mortality(X, T) = low)) & ((~((~is_aligned(X, T)) & positional_advantage(X, T))) | (hazard_of_mortality(X, T) = mod1)) & ((~(is_aligned(X, T) & (~positional_advantage(X, T)))) | (hazard_of_mortality(X, T) = mod2)) & ((~((~is_aligned(X, T)) & (~positional_advantage(X, T)))) | (hazard_of_mortality(X, T) = high))))))),
% 0.19/0.54 inference(rewrite,[status(thm)],[])).
% 0.19/0.54 tff(110,plain,
% 0.19/0.54 (^[X: $i, T: $i] : trans(monotonicity(rewrite(((has_immunity(X, T) => (hazard_of_mortality(X, T) = very_low)) & ((~has_immunity(X, T)) => (((((is_aligned(X, T) & positional_advantage(X, T)) => (hazard_of_mortality(X, T) = low)) & (((~is_aligned(X, T)) & positional_advantage(X, T)) => (hazard_of_mortality(X, T) = mod1))) & ((is_aligned(X, T) & (~positional_advantage(X, T))) => (hazard_of_mortality(X, T) = mod2))) & (((~is_aligned(X, T)) & (~positional_advantage(X, T))) => (hazard_of_mortality(X, T) = high))))) <=> (((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low)) & (has_immunity(X, T) | (((~(is_aligned(X, T) & positional_advantage(X, T))) | (hazard_of_mortality(X, T) = low)) & ((~((~is_aligned(X, T)) & positional_advantage(X, T))) | (hazard_of_mortality(X, T) = mod1)) & ((~(is_aligned(X, T) & (~positional_advantage(X, T)))) | (hazard_of_mortality(X, T) = mod2)) & ((~((~is_aligned(X, T)) & (~positional_advantage(X, T)))) | (hazard_of_mortality(X, T) = high)))))), ((organization(X) => ((has_immunity(X, T) => (hazard_of_mortality(X, T) = very_low)) & ((~has_immunity(X, T)) => (((((is_aligned(X, T) & positional_advantage(X, T)) => (hazard_of_mortality(X, T) = low)) & (((~is_aligned(X, T)) & positional_advantage(X, T)) => (hazard_of_mortality(X, T) = mod1))) & ((is_aligned(X, T) & (~positional_advantage(X, T))) => (hazard_of_mortality(X, T) = mod2))) & (((~is_aligned(X, T)) & (~positional_advantage(X, T))) => (hazard_of_mortality(X, T) = high)))))) <=> (organization(X) => (((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low)) & (has_immunity(X, T) | (((~(is_aligned(X, T) & positional_advantage(X, T))) | (hazard_of_mortality(X, T) = low)) & ((~((~is_aligned(X, T)) & positional_advantage(X, T))) | (hazard_of_mortality(X, T) = mod1)) & ((~(is_aligned(X, T) & (~positional_advantage(X, T)))) | (hazard_of_mortality(X, T) = mod2)) & ((~((~is_aligned(X, T)) & (~positional_advantage(X, T)))) | (hazard_of_mortality(X, T) = high)))))))), rewrite((organization(X) => (((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low)) & (has_immunity(X, T) | (((~(is_aligned(X, T) & positional_advantage(X, T))) | (hazard_of_mortality(X, T) = low)) & ((~((~is_aligned(X, T)) & positional_advantage(X, T))) | (hazard_of_mortality(X, T) = mod1)) & ((~(is_aligned(X, T) & (~positional_advantage(X, T)))) | (hazard_of_mortality(X, T) = mod2)) & ((~((~is_aligned(X, T)) & (~positional_advantage(X, T)))) | (hazard_of_mortality(X, T) = high)))))) <=> ((~organization(X)) | (((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low)) & (has_immunity(X, T) | (((~(is_aligned(X, T) & positional_advantage(X, T))) | (hazard_of_mortality(X, T) = low)) & ((~((~is_aligned(X, T)) & positional_advantage(X, T))) | (hazard_of_mortality(X, T) = mod1)) & ((~(is_aligned(X, T) & (~positional_advantage(X, T)))) | (hazard_of_mortality(X, T) = mod2)) & ((~((~is_aligned(X, T)) & (~positional_advantage(X, T)))) | (hazard_of_mortality(X, T) = high))))))), ((organization(X) => ((has_immunity(X, T) => (hazard_of_mortality(X, T) = very_low)) & ((~has_immunity(X, T)) => (((((is_aligned(X, T) & positional_advantage(X, T)) => (hazard_of_mortality(X, T) = low)) & (((~is_aligned(X, T)) & positional_advantage(X, T)) => (hazard_of_mortality(X, T) = mod1))) & ((is_aligned(X, T) & (~positional_advantage(X, T))) => (hazard_of_mortality(X, T) = mod2))) & (((~is_aligned(X, T)) & (~positional_advantage(X, T))) => (hazard_of_mortality(X, T) = high)))))) <=> ((~organization(X)) | (((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low)) & (has_immunity(X, T) | (((~(is_aligned(X, T) & positional_advantage(X, T))) | (hazard_of_mortality(X, T) = low)) & ((~((~is_aligned(X, T)) & positional_advantage(X, T))) | (hazard_of_mortality(X, T) = mod1)) & ((~(is_aligned(X, T) & (~positional_advantage(X, T)))) | (hazard_of_mortality(X, T) = mod2)) & ((~((~is_aligned(X, T)) & (~positional_advantage(X, T)))) | (hazard_of_mortality(X, T) = high))))))))),
% 0.19/0.54 inference(bind,[status(th)],[])).
% 0.19/0.54 tff(111,plain,
% 0.19/0.54 (![X: $i, T: $i] : (organization(X) => ((has_immunity(X, T) => (hazard_of_mortality(X, T) = very_low)) & ((~has_immunity(X, T)) => (((((is_aligned(X, T) & positional_advantage(X, T)) => (hazard_of_mortality(X, T) = low)) & (((~is_aligned(X, T)) & positional_advantage(X, T)) => (hazard_of_mortality(X, T) = mod1))) & ((is_aligned(X, T) & (~positional_advantage(X, T))) => (hazard_of_mortality(X, T) = mod2))) & (((~is_aligned(X, T)) & (~positional_advantage(X, T))) => (hazard_of_mortality(X, T) = high)))))) <=> ![X: $i, T: $i] : ((~organization(X)) | (((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low)) & (has_immunity(X, T) | (((~(is_aligned(X, T) & positional_advantage(X, T))) | (hazard_of_mortality(X, T) = low)) & ((~((~is_aligned(X, T)) & positional_advantage(X, T))) | (hazard_of_mortality(X, T) = mod1)) & ((~(is_aligned(X, T) & (~positional_advantage(X, T)))) | (hazard_of_mortality(X, T) = mod2)) & ((~((~is_aligned(X, T)) & (~positional_advantage(X, T)))) | (hazard_of_mortality(X, T) = high))))))),
% 0.19/0.55 inference(quant_intro,[status(thm)],[110])).
% 0.19/0.55 tff(112,axiom,(![X: $i, T: $i] : (organization(X) => ((has_immunity(X, T) => (hazard_of_mortality(X, T) = very_low)) & ((~has_immunity(X, T)) => (((((is_aligned(X, T) & positional_advantage(X, T)) => (hazard_of_mortality(X, T) = low)) & (((~is_aligned(X, T)) & positional_advantage(X, T)) => (hazard_of_mortality(X, T) = mod1))) & ((is_aligned(X, T) & (~positional_advantage(X, T))) => (hazard_of_mortality(X, T) = mod2))) & (((~is_aligned(X, T)) & (~positional_advantage(X, T))) => (hazard_of_mortality(X, T) = high))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','assumption_17')).
% 0.19/0.55 tff(113,plain,
% 0.19/0.55 (![X: $i, T: $i] : ((~organization(X)) | (((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low)) & (has_immunity(X, T) | (((~(is_aligned(X, T) & positional_advantage(X, T))) | (hazard_of_mortality(X, T) = low)) & ((~((~is_aligned(X, T)) & positional_advantage(X, T))) | (hazard_of_mortality(X, T) = mod1)) & ((~(is_aligned(X, T) & (~positional_advantage(X, T)))) | (hazard_of_mortality(X, T) = mod2)) & ((~((~is_aligned(X, T)) & (~positional_advantage(X, T)))) | (hazard_of_mortality(X, T) = high))))))),
% 0.19/0.55 inference(modus_ponens,[status(thm)],[112, 111])).
% 0.19/0.55 tff(114,plain,
% 0.19/0.55 (![X: $i, T: $i] : ((~organization(X)) | (((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low)) & (has_immunity(X, T) | (((~(is_aligned(X, T) & positional_advantage(X, T))) | (hazard_of_mortality(X, T) = low)) & ((~((~is_aligned(X, T)) & positional_advantage(X, T))) | (hazard_of_mortality(X, T) = mod1)) & ((~(is_aligned(X, T) & (~positional_advantage(X, T)))) | (hazard_of_mortality(X, T) = mod2)) & ((~((~is_aligned(X, T)) & (~positional_advantage(X, T)))) | (hazard_of_mortality(X, T) = high))))))),
% 0.19/0.55 inference(modus_ponens,[status(thm)],[113, 109])).
% 0.19/0.55 tff(115,plain,(
% 0.19/0.55 ![X: $i, T: $i] : ((~organization(X)) | (((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low)) & (has_immunity(X, T) | (((~(is_aligned(X, T) & positional_advantage(X, T))) | (hazard_of_mortality(X, T) = low)) & ((~((~is_aligned(X, T)) & positional_advantage(X, T))) | (hazard_of_mortality(X, T) = mod1)) & ((~(is_aligned(X, T) & (~positional_advantage(X, T)))) | (hazard_of_mortality(X, T) = mod2)) & ((~((~is_aligned(X, T)) & (~positional_advantage(X, T)))) | (hazard_of_mortality(X, T) = high))))))),
% 0.19/0.55 inference(skolemize,[status(sab)],[114])).
% 0.19/0.55 tff(116,plain,
% 0.19/0.55 (![X: $i, T: $i] : ((~organization(X)) | (~((~((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low))) | (~(has_immunity(X, T) | (~((~((~positional_advantage(X, T)) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = low))) | (~((~positional_advantage(X, T)) | is_aligned(X, T) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(positional_advantage(X, T) | is_aligned(X, T) | (hazard_of_mortality(X, T) = high))))))))))),
% 0.19/0.55 inference(modus_ponens,[status(thm)],[115, 108])).
% 0.19/0.55 tff(117,plain,
% 0.19/0.55 (![X: $i, T: $i] : ((~organization(X)) | (~((~((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low))) | (~(has_immunity(X, T) | (~((~((~positional_advantage(X, T)) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = low))) | (~((~positional_advantage(X, T)) | is_aligned(X, T) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(positional_advantage(X, T) | is_aligned(X, T) | (hazard_of_mortality(X, T) = high))))))))))),
% 0.19/0.55 inference(modus_ponens,[status(thm)],[116, 106])).
% 0.19/0.55 tff(118,plain,
% 0.19/0.55 (((~![X: $i, T: $i] : ((~organization(X)) | (~((~((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low))) | (~(has_immunity(X, T) | (~((~((~positional_advantage(X, T)) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = low))) | (~((~positional_advantage(X, T)) | is_aligned(X, T) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(positional_advantage(X, T) | is_aligned(X, T) | (hazard_of_mortality(X, T) = high))))))))))) | ((~organization(X!4)) | (~((~((~has_immunity(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = very_low))) | (~(has_immunity(X!4, T2!1) | (~((~((~positional_advantage(X!4, T2!1)) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = low))) | (~((~positional_advantage(X!4, T2!1)) | is_aligned(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = mod1))) | (~(positional_advantage(X!4, T2!1) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = mod2))) | (~(is_aligned(X!4, T2!1) | positional_advantage(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = high))))))))))) <=> ((~![X: $i, T: $i] : ((~organization(X)) | (~((~((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low))) | (~(has_immunity(X, T) | (~((~((~positional_advantage(X, T)) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = low))) | (~((~positional_advantage(X, T)) | is_aligned(X, T) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(positional_advantage(X, T) | is_aligned(X, T) | (hazard_of_mortality(X, T) = high))))))))))) | (~organization(X!4)) | (~((~((~has_immunity(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = very_low))) | (~(has_immunity(X!4, T2!1) | (~((~((~positional_advantage(X!4, T2!1)) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = low))) | (~((~positional_advantage(X!4, T2!1)) | is_aligned(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = mod1))) | (~(positional_advantage(X!4, T2!1) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = mod2))) | (~(is_aligned(X!4, T2!1) | positional_advantage(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = high))))))))))),
% 0.19/0.55 inference(rewrite,[status(thm)],[])).
% 0.19/0.55 tff(119,plain,
% 0.19/0.55 (((~organization(X!4)) | (~((~((~has_immunity(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = very_low))) | (~(has_immunity(X!4, T2!1) | (~((~((~positional_advantage(X!4, T2!1)) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = low))) | (~((~positional_advantage(X!4, T2!1)) | is_aligned(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = mod1))) | (~(positional_advantage(X!4, T2!1) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = mod2))) | (~(positional_advantage(X!4, T2!1) | is_aligned(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = high)))))))))) <=> ((~organization(X!4)) | (~((~((~has_immunity(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = very_low))) | (~(has_immunity(X!4, T2!1) | (~((~((~positional_advantage(X!4, T2!1)) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = low))) | (~((~positional_advantage(X!4, T2!1)) | is_aligned(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = mod1))) | (~(positional_advantage(X!4, T2!1) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = mod2))) | (~(is_aligned(X!4, T2!1) | positional_advantage(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = high))))))))))),
% 0.19/0.55 inference(rewrite,[status(thm)],[])).
% 0.19/0.55 tff(120,plain,
% 0.19/0.55 (((~![X: $i, T: $i] : ((~organization(X)) | (~((~((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low))) | (~(has_immunity(X, T) | (~((~((~positional_advantage(X, T)) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = low))) | (~((~positional_advantage(X, T)) | is_aligned(X, T) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(positional_advantage(X, T) | is_aligned(X, T) | (hazard_of_mortality(X, T) = high))))))))))) | ((~organization(X!4)) | (~((~((~has_immunity(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = very_low))) | (~(has_immunity(X!4, T2!1) | (~((~((~positional_advantage(X!4, T2!1)) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = low))) | (~((~positional_advantage(X!4, T2!1)) | is_aligned(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = mod1))) | (~(positional_advantage(X!4, T2!1) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = mod2))) | (~(positional_advantage(X!4, T2!1) | is_aligned(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = high))))))))))) <=> ((~![X: $i, T: $i] : ((~organization(X)) | (~((~((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low))) | (~(has_immunity(X, T) | (~((~((~positional_advantage(X, T)) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = low))) | (~((~positional_advantage(X, T)) | is_aligned(X, T) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(positional_advantage(X, T) | is_aligned(X, T) | (hazard_of_mortality(X, T) = high))))))))))) | ((~organization(X!4)) | (~((~((~has_immunity(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = very_low))) | (~(has_immunity(X!4, T2!1) | (~((~((~positional_advantage(X!4, T2!1)) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = low))) | (~((~positional_advantage(X!4, T2!1)) | is_aligned(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = mod1))) | (~(positional_advantage(X!4, T2!1) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = mod2))) | (~(is_aligned(X!4, T2!1) | positional_advantage(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = high)))))))))))),
% 0.19/0.55 inference(monotonicity,[status(thm)],[119])).
% 0.19/0.55 tff(121,plain,
% 0.19/0.55 (((~![X: $i, T: $i] : ((~organization(X)) | (~((~((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low))) | (~(has_immunity(X, T) | (~((~((~positional_advantage(X, T)) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = low))) | (~((~positional_advantage(X, T)) | is_aligned(X, T) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(positional_advantage(X, T) | is_aligned(X, T) | (hazard_of_mortality(X, T) = high))))))))))) | ((~organization(X!4)) | (~((~((~has_immunity(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = very_low))) | (~(has_immunity(X!4, T2!1) | (~((~((~positional_advantage(X!4, T2!1)) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = low))) | (~((~positional_advantage(X!4, T2!1)) | is_aligned(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = mod1))) | (~(positional_advantage(X!4, T2!1) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = mod2))) | (~(positional_advantage(X!4, T2!1) | is_aligned(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = high))))))))))) <=> ((~![X: $i, T: $i] : ((~organization(X)) | (~((~((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low))) | (~(has_immunity(X, T) | (~((~((~positional_advantage(X, T)) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = low))) | (~((~positional_advantage(X, T)) | is_aligned(X, T) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(positional_advantage(X, T) | is_aligned(X, T) | (hazard_of_mortality(X, T) = high))))))))))) | (~organization(X!4)) | (~((~((~has_immunity(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = very_low))) | (~(has_immunity(X!4, T2!1) | (~((~((~positional_advantage(X!4, T2!1)) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = low))) | (~((~positional_advantage(X!4, T2!1)) | is_aligned(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = mod1))) | (~(positional_advantage(X!4, T2!1) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = mod2))) | (~(is_aligned(X!4, T2!1) | positional_advantage(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = high))))))))))),
% 0.19/0.55 inference(transitivity,[status(thm)],[120, 118])).
% 0.19/0.55 tff(122,plain,
% 0.19/0.55 ((~![X: $i, T: $i] : ((~organization(X)) | (~((~((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low))) | (~(has_immunity(X, T) | (~((~((~positional_advantage(X, T)) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = low))) | (~((~positional_advantage(X, T)) | is_aligned(X, T) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(positional_advantage(X, T) | is_aligned(X, T) | (hazard_of_mortality(X, T) = high))))))))))) | ((~organization(X!4)) | (~((~((~has_immunity(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = very_low))) | (~(has_immunity(X!4, T2!1) | (~((~((~positional_advantage(X!4, T2!1)) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = low))) | (~((~positional_advantage(X!4, T2!1)) | is_aligned(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = mod1))) | (~(positional_advantage(X!4, T2!1) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = mod2))) | (~(positional_advantage(X!4, T2!1) | is_aligned(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = high))))))))))),
% 0.19/0.56 inference(quant_inst,[status(thm)],[])).
% 0.19/0.56 tff(123,plain,
% 0.19/0.56 ((~![X: $i, T: $i] : ((~organization(X)) | (~((~((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low))) | (~(has_immunity(X, T) | (~((~((~positional_advantage(X, T)) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = low))) | (~((~positional_advantage(X, T)) | is_aligned(X, T) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(positional_advantage(X, T) | is_aligned(X, T) | (hazard_of_mortality(X, T) = high))))))))))) | (~organization(X!4)) | (~((~((~has_immunity(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = very_low))) | (~(has_immunity(X!4, T2!1) | (~((~((~positional_advantage(X!4, T2!1)) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = low))) | (~((~positional_advantage(X!4, T2!1)) | is_aligned(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = mod1))) | (~(positional_advantage(X!4, T2!1) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = mod2))) | (~(is_aligned(X!4, T2!1) | positional_advantage(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = high)))))))))),
% 0.19/0.56 inference(modus_ponens,[status(thm)],[122, 121])).
% 0.19/0.56 tff(124,plain,
% 0.19/0.56 (~((~((~has_immunity(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = very_low))) | (~(has_immunity(X!4, T2!1) | (~((~((~positional_advantage(X!4, T2!1)) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = low))) | (~((~positional_advantage(X!4, T2!1)) | is_aligned(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = mod1))) | (~(positional_advantage(X!4, T2!1) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = mod2))) | (~(is_aligned(X!4, T2!1) | positional_advantage(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = high))))))))),
% 0.19/0.56 inference(unit_resolution,[status(thm)],[123, 117, 32])).
% 0.19/0.56 tff(125,plain,
% 0.19/0.56 (((~((~has_immunity(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = very_low))) | (~(has_immunity(X!4, T2!1) | (~((~((~positional_advantage(X!4, T2!1)) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = low))) | (~((~positional_advantage(X!4, T2!1)) | is_aligned(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = mod1))) | (~(positional_advantage(X!4, T2!1) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = mod2))) | (~(is_aligned(X!4, T2!1) | positional_advantage(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = high)))))))) | (has_immunity(X!4, T2!1) | (~((~((~positional_advantage(X!4, T2!1)) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = low))) | (~((~positional_advantage(X!4, T2!1)) | is_aligned(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = mod1))) | (~(positional_advantage(X!4, T2!1) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = mod2))) | (~(is_aligned(X!4, T2!1) | positional_advantage(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = high))))))),
% 0.19/0.56 inference(tautology,[status(thm)],[])).
% 0.19/0.56 tff(126,plain,
% 0.19/0.56 (has_immunity(X!4, T2!1) | (~((~((~positional_advantage(X!4, T2!1)) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = low))) | (~((~positional_advantage(X!4, T2!1)) | is_aligned(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = mod1))) | (~(positional_advantage(X!4, T2!1) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = mod2))) | (~(is_aligned(X!4, T2!1) | positional_advantage(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = high)))))),
% 0.19/0.56 inference(unit_resolution,[status(thm)],[125, 124])).
% 0.19/0.56 tff(127,plain,
% 0.19/0.56 ((~(has_immunity(X!4, T2!1) | (~((~((~positional_advantage(X!4, T2!1)) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = low))) | (~((~positional_advantage(X!4, T2!1)) | is_aligned(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = mod1))) | (~(positional_advantage(X!4, T2!1) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = mod2))) | (~(is_aligned(X!4, T2!1) | positional_advantage(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = high))))))) | has_immunity(X!4, T2!1) | (~((~((~positional_advantage(X!4, T2!1)) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = low))) | (~((~positional_advantage(X!4, T2!1)) | is_aligned(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = mod1))) | (~(positional_advantage(X!4, T2!1) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = mod2))) | (~(is_aligned(X!4, T2!1) | positional_advantage(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = high)))))),
% 0.19/0.56 inference(tautology,[status(thm)],[])).
% 0.19/0.56 tff(128,plain,
% 0.19/0.56 (has_immunity(X!4, T2!1) | (~((~((~positional_advantage(X!4, T2!1)) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = low))) | (~((~positional_advantage(X!4, T2!1)) | is_aligned(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = mod1))) | (~(positional_advantage(X!4, T2!1) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = mod2))) | (~(is_aligned(X!4, T2!1) | positional_advantage(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = high)))))),
% 0.19/0.56 inference(unit_resolution,[status(thm)],[127, 126])).
% 0.19/0.56 tff(129,plain,
% 0.19/0.56 (~((~((~positional_advantage(X!4, T2!1)) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = low))) | (~((~positional_advantage(X!4, T2!1)) | is_aligned(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = mod1))) | (~(positional_advantage(X!4, T2!1) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = mod2))) | (~(is_aligned(X!4, T2!1) | positional_advantage(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = high))))),
% 0.19/0.56 inference(unit_resolution,[status(thm)],[128, 104])).
% 0.19/0.56 tff(130,plain,
% 0.19/0.56 (((~((~positional_advantage(X!4, T2!1)) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = low))) | (~((~positional_advantage(X!4, T2!1)) | is_aligned(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = mod1))) | (~(positional_advantage(X!4, T2!1) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = mod2))) | (~(is_aligned(X!4, T2!1) | positional_advantage(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = high)))) | ((~positional_advantage(X!4, T2!1)) | is_aligned(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = mod1))),
% 0.19/0.56 inference(tautology,[status(thm)],[])).
% 0.19/0.56 tff(131,plain,
% 0.19/0.56 ((~positional_advantage(X!4, T2!1)) | is_aligned(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = mod1)),
% 0.19/0.56 inference(unit_resolution,[status(thm)],[130, 129])).
% 0.19/0.56 tff(132,plain,
% 0.19/0.56 (^[X: $i] : rewrite((~((~((~robust_position(X)) | ![T: $i] : (~((~((~positional_advantage(X, T)) | (~smaller_or_equal(age(X, T), tau)))) | (~((~greater(age(X, T), tau)) | positional_advantage(X, T))))))) | (~(robust_position(X) | (~((~positional_advantage(X, tptp_fun_T_0(X))) | (~smaller_or_equal(age(X, tptp_fun_T_0(X)), tau)))) | (~((~greater(age(X, tptp_fun_T_0(X)), tau)) | positional_advantage(X, tptp_fun_T_0(X)))))))) <=> (~((~(robust_position(X) | (~((~positional_advantage(X, tptp_fun_T_0(X))) | (~smaller_or_equal(age(X, tptp_fun_T_0(X)), tau)))) | (~((~greater(age(X, tptp_fun_T_0(X)), tau)) | positional_advantage(X, tptp_fun_T_0(X)))))) | (~((~robust_position(X)) | ![T: $i] : (~((~((~positional_advantage(X, T)) | (~smaller_or_equal(age(X, T), tau)))) | (~((~greater(age(X, T), tau)) | positional_advantage(X, T))))))))))),
% 0.19/0.56 inference(bind,[status(th)],[])).
% 0.19/0.56 tff(133,plain,
% 0.19/0.56 (![X: $i] : (~((~((~robust_position(X)) | ![T: $i] : (~((~((~positional_advantage(X, T)) | (~smaller_or_equal(age(X, T), tau)))) | (~((~greater(age(X, T), tau)) | positional_advantage(X, T))))))) | (~(robust_position(X) | (~((~positional_advantage(X, tptp_fun_T_0(X))) | (~smaller_or_equal(age(X, tptp_fun_T_0(X)), tau)))) | (~((~greater(age(X, tptp_fun_T_0(X)), tau)) | positional_advantage(X, tptp_fun_T_0(X)))))))) <=> ![X: $i] : (~((~(robust_position(X) | (~((~positional_advantage(X, tptp_fun_T_0(X))) | (~smaller_or_equal(age(X, tptp_fun_T_0(X)), tau)))) | (~((~greater(age(X, tptp_fun_T_0(X)), tau)) | positional_advantage(X, tptp_fun_T_0(X)))))) | (~((~robust_position(X)) | ![T: $i] : (~((~((~positional_advantage(X, T)) | (~smaller_or_equal(age(X, T), tau)))) | (~((~greater(age(X, T), tau)) | positional_advantage(X, T)))))))))),
% 0.19/0.56 inference(quant_intro,[status(thm)],[132])).
% 0.19/0.56 tff(134,plain,
% 0.19/0.56 (^[X: $i] : refl((~((~((~robust_position(X)) | ![T: $i] : (~((~((~positional_advantage(X, T)) | (~smaller_or_equal(age(X, T), tau)))) | (~((~greater(age(X, T), tau)) | positional_advantage(X, T))))))) | (~(robust_position(X) | (~((~positional_advantage(X, tptp_fun_T_0(X))) | (~smaller_or_equal(age(X, tptp_fun_T_0(X)), tau)))) | (~((~greater(age(X, tptp_fun_T_0(X)), tau)) | positional_advantage(X, tptp_fun_T_0(X)))))))) <=> (~((~((~robust_position(X)) | ![T: $i] : (~((~((~positional_advantage(X, T)) | (~smaller_or_equal(age(X, T), tau)))) | (~((~greater(age(X, T), tau)) | positional_advantage(X, T))))))) | (~(robust_position(X) | (~((~positional_advantage(X, tptp_fun_T_0(X))) | (~smaller_or_equal(age(X, tptp_fun_T_0(X)), tau)))) | (~((~greater(age(X, tptp_fun_T_0(X)), tau)) | positional_advantage(X, tptp_fun_T_0(X)))))))))),
% 0.19/0.56 inference(bind,[status(th)],[])).
% 0.19/0.56 tff(135,plain,
% 0.19/0.56 (![X: $i] : (~((~((~robust_position(X)) | ![T: $i] : (~((~((~positional_advantage(X, T)) | (~smaller_or_equal(age(X, T), tau)))) | (~((~greater(age(X, T), tau)) | positional_advantage(X, T))))))) | (~(robust_position(X) | (~((~positional_advantage(X, tptp_fun_T_0(X))) | (~smaller_or_equal(age(X, tptp_fun_T_0(X)), tau)))) | (~((~greater(age(X, tptp_fun_T_0(X)), tau)) | positional_advantage(X, tptp_fun_T_0(X)))))))) <=> ![X: $i] : (~((~((~robust_position(X)) | ![T: $i] : (~((~((~positional_advantage(X, T)) | (~smaller_or_equal(age(X, T), tau)))) | (~((~greater(age(X, T), tau)) | positional_advantage(X, T))))))) | (~(robust_position(X) | (~((~positional_advantage(X, tptp_fun_T_0(X))) | (~smaller_or_equal(age(X, tptp_fun_T_0(X)), tau)))) | (~((~greater(age(X, tptp_fun_T_0(X)), tau)) | positional_advantage(X, tptp_fun_T_0(X))))))))),
% 0.19/0.56 inference(quant_intro,[status(thm)],[134])).
% 0.19/0.56 tff(136,plain,
% 0.19/0.56 (^[X: $i] : rewrite((~((~((~robust_position(X)) | ![T: $i] : (~((~((~positional_advantage(X, T)) | (~smaller_or_equal(age(X, T), tau)))) | (~((~greater(age(X, T), tau)) | positional_advantage(X, T))))))) | (~(robust_position(X) | (~((~positional_advantage(X, tptp_fun_T_0(X))) | (~smaller_or_equal(age(X, tptp_fun_T_0(X)), tau)))) | (~((~greater(age(X, tptp_fun_T_0(X)), tau)) | positional_advantage(X, tptp_fun_T_0(X)))))))) <=> (~((~((~robust_position(X)) | ![T: $i] : (~((~((~positional_advantage(X, T)) | (~smaller_or_equal(age(X, T), tau)))) | (~((~greater(age(X, T), tau)) | positional_advantage(X, T))))))) | (~(robust_position(X) | (~((~positional_advantage(X, tptp_fun_T_0(X))) | (~smaller_or_equal(age(X, tptp_fun_T_0(X)), tau)))) | (~((~greater(age(X, tptp_fun_T_0(X)), tau)) | positional_advantage(X, tptp_fun_T_0(X)))))))))),
% 0.19/0.56 inference(bind,[status(th)],[])).
% 0.19/0.56 tff(137,plain,
% 0.19/0.56 (![X: $i] : (~((~((~robust_position(X)) | ![T: $i] : (~((~((~positional_advantage(X, T)) | (~smaller_or_equal(age(X, T), tau)))) | (~((~greater(age(X, T), tau)) | positional_advantage(X, T))))))) | (~(robust_position(X) | (~((~positional_advantage(X, tptp_fun_T_0(X))) | (~smaller_or_equal(age(X, tptp_fun_T_0(X)), tau)))) | (~((~greater(age(X, tptp_fun_T_0(X)), tau)) | positional_advantage(X, tptp_fun_T_0(X)))))))) <=> ![X: $i] : (~((~((~robust_position(X)) | ![T: $i] : (~((~((~positional_advantage(X, T)) | (~smaller_or_equal(age(X, T), tau)))) | (~((~greater(age(X, T), tau)) | positional_advantage(X, T))))))) | (~(robust_position(X) | (~((~positional_advantage(X, tptp_fun_T_0(X))) | (~smaller_or_equal(age(X, tptp_fun_T_0(X)), tau)))) | (~((~greater(age(X, tptp_fun_T_0(X)), tau)) | positional_advantage(X, tptp_fun_T_0(X))))))))),
% 0.19/0.56 inference(quant_intro,[status(thm)],[136])).
% 0.19/0.56 tff(138,plain,
% 0.19/0.56 (![X: $i] : (~((~((~robust_position(X)) | ![T: $i] : (~((~((~positional_advantage(X, T)) | (~smaller_or_equal(age(X, T), tau)))) | (~((~greater(age(X, T), tau)) | positional_advantage(X, T))))))) | (~(robust_position(X) | (~((~positional_advantage(X, tptp_fun_T_0(X))) | (~smaller_or_equal(age(X, tptp_fun_T_0(X)), tau)))) | (~((~greater(age(X, tptp_fun_T_0(X)), tau)) | positional_advantage(X, tptp_fun_T_0(X)))))))) <=> ![X: $i] : (~((~((~robust_position(X)) | ![T: $i] : (~((~((~positional_advantage(X, T)) | (~smaller_or_equal(age(X, T), tau)))) | (~((~greater(age(X, T), tau)) | positional_advantage(X, T))))))) | (~(robust_position(X) | (~((~positional_advantage(X, tptp_fun_T_0(X))) | (~smaller_or_equal(age(X, tptp_fun_T_0(X)), tau)))) | (~((~greater(age(X, tptp_fun_T_0(X)), tau)) | positional_advantage(X, tptp_fun_T_0(X))))))))),
% 0.19/0.56 inference(transitivity,[status(thm)],[137, 135])).
% 0.19/0.56 tff(139,plain,
% 0.19/0.56 (^[X: $i] : trans(monotonicity(rewrite(((~robust_position(X)) | ![T: $i] : (((~positional_advantage(X, T)) | (~smaller_or_equal(age(X, T), tau))) & ((~greater(age(X, T), tau)) | positional_advantage(X, T)))) <=> ((~robust_position(X)) | ![T: $i] : (~((~((~positional_advantage(X, T)) | (~smaller_or_equal(age(X, T), tau)))) | (~((~greater(age(X, T), tau)) | positional_advantage(X, T))))))), trans(monotonicity(trans(monotonicity(rewrite((((~positional_advantage(X, tptp_fun_T_0(X))) | (~smaller_or_equal(age(X, tptp_fun_T_0(X)), tau))) & ((~greater(age(X, tptp_fun_T_0(X)), tau)) | positional_advantage(X, tptp_fun_T_0(X)))) <=> (~((~((~positional_advantage(X, tptp_fun_T_0(X))) | (~smaller_or_equal(age(X, tptp_fun_T_0(X)), tau)))) | (~((~greater(age(X, tptp_fun_T_0(X)), tau)) | positional_advantage(X, tptp_fun_T_0(X))))))), ((~(((~positional_advantage(X, tptp_fun_T_0(X))) | (~smaller_or_equal(age(X, tptp_fun_T_0(X)), tau))) & ((~greater(age(X, tptp_fun_T_0(X)), tau)) | positional_advantage(X, tptp_fun_T_0(X))))) <=> (~(~((~((~positional_advantage(X, tptp_fun_T_0(X))) | (~smaller_or_equal(age(X, tptp_fun_T_0(X)), tau)))) | (~((~greater(age(X, tptp_fun_T_0(X)), tau)) | positional_advantage(X, tptp_fun_T_0(X))))))))), rewrite((~(~((~((~positional_advantage(X, tptp_fun_T_0(X))) | (~smaller_or_equal(age(X, tptp_fun_T_0(X)), tau)))) | (~((~greater(age(X, tptp_fun_T_0(X)), tau)) | positional_advantage(X, tptp_fun_T_0(X))))))) <=> ((~((~positional_advantage(X, tptp_fun_T_0(X))) | (~smaller_or_equal(age(X, tptp_fun_T_0(X)), tau)))) | (~((~greater(age(X, tptp_fun_T_0(X)), tau)) | positional_advantage(X, tptp_fun_T_0(X)))))), ((~(((~positional_advantage(X, tptp_fun_T_0(X))) | (~smaller_or_equal(age(X, tptp_fun_T_0(X)), tau))) & ((~greater(age(X, tptp_fun_T_0(X)), tau)) | positional_advantage(X, tptp_fun_T_0(X))))) <=> ((~((~positional_advantage(X, tptp_fun_T_0(X))) | (~smaller_or_equal(age(X, tptp_fun_T_0(X)), tau)))) | (~((~greater(age(X, tptp_fun_T_0(X)), tau)) | positional_advantage(X, tptp_fun_T_0(X))))))), ((robust_position(X) | (~(((~positional_advantage(X, tptp_fun_T_0(X))) | (~smaller_or_equal(age(X, tptp_fun_T_0(X)), tau))) & ((~greater(age(X, tptp_fun_T_0(X)), tau)) | positional_advantage(X, tptp_fun_T_0(X)))))) <=> (robust_position(X) | ((~((~positional_advantage(X, tptp_fun_T_0(X))) | (~smaller_or_equal(age(X, tptp_fun_T_0(X)), tau)))) | (~((~greater(age(X, tptp_fun_T_0(X)), tau)) | positional_advantage(X, tptp_fun_T_0(X)))))))), rewrite((robust_position(X) | ((~((~positional_advantage(X, tptp_fun_T_0(X))) | (~smaller_or_equal(age(X, tptp_fun_T_0(X)), tau)))) | (~((~greater(age(X, tptp_fun_T_0(X)), tau)) | positional_advantage(X, tptp_fun_T_0(X)))))) <=> (robust_position(X) | (~((~positional_advantage(X, tptp_fun_T_0(X))) | (~smaller_or_equal(age(X, tptp_fun_T_0(X)), tau)))) | (~((~greater(age(X, tptp_fun_T_0(X)), tau)) | positional_advantage(X, tptp_fun_T_0(X)))))), ((robust_position(X) | (~(((~positional_advantage(X, tptp_fun_T_0(X))) | (~smaller_or_equal(age(X, tptp_fun_T_0(X)), tau))) & ((~greater(age(X, tptp_fun_T_0(X)), tau)) | positional_advantage(X, tptp_fun_T_0(X)))))) <=> (robust_position(X) | (~((~positional_advantage(X, tptp_fun_T_0(X))) | (~smaller_or_equal(age(X, tptp_fun_T_0(X)), tau)))) | (~((~greater(age(X, tptp_fun_T_0(X)), tau)) | positional_advantage(X, tptp_fun_T_0(X))))))), ((((~robust_position(X)) | ![T: $i] : (((~positional_advantage(X, T)) | (~smaller_or_equal(age(X, T), tau))) & ((~greater(age(X, T), tau)) | positional_advantage(X, T)))) & (robust_position(X) | (~(((~positional_advantage(X, tptp_fun_T_0(X))) | (~smaller_or_equal(age(X, tptp_fun_T_0(X)), tau))) & ((~greater(age(X, tptp_fun_T_0(X)), tau)) | positional_advantage(X, tptp_fun_T_0(X))))))) <=> (((~robust_position(X)) | ![T: $i] : (~((~((~positional_advantage(X, T)) | (~smaller_or_equal(age(X, T), tau)))) | (~((~greater(age(X, T), tau)) | positional_advantage(X, T)))))) & (robust_position(X) | (~((~positional_advantage(X, tptp_fun_T_0(X))) | (~smaller_or_equal(age(X, tptp_fun_T_0(X)), tau)))) | (~((~greater(age(X, tptp_fun_T_0(X)), tau)) | positional_advantage(X, tptp_fun_T_0(X)))))))), rewrite((((~robust_position(X)) | ![T: $i] : (~((~((~positional_advantage(X, T)) | (~smaller_or_equal(age(X, T), tau)))) | (~((~greater(age(X, T), tau)) | positional_advantage(X, T)))))) & (robust_position(X) | (~((~positional_advantage(X, tptp_fun_T_0(X))) | (~smaller_or_equal(age(X, tptp_fun_T_0(X)), tau)))) | (~((~greater(age(X, tptp_fun_T_0(X)), tau)) | positional_advantage(X, tptp_fun_T_0(X)))))) <=> (~((~((~robust_position(X)) | ![T: $i] : (~((~((~positional_advantage(X, T)) | (~smaller_or_equal(age(X, T), tau)))) | (~((~greater(age(X, T), tau)) | positional_advantage(X, T))))))) | (~(robust_position(X) | (~((~positional_advantage(X, tptp_fun_T_0(X))) | (~smaller_or_equal(age(X, tptp_fun_T_0(X)), tau)))) | (~((~greater(age(X, tptp_fun_T_0(X)), tau)) | positional_advantage(X, tptp_fun_T_0(X))))))))), ((((~robust_position(X)) | ![T: $i] : (((~positional_advantage(X, T)) | (~smaller_or_equal(age(X, T), tau))) & ((~greater(age(X, T), tau)) | positional_advantage(X, T)))) & (robust_position(X) | (~(((~positional_advantage(X, tptp_fun_T_0(X))) | (~smaller_or_equal(age(X, tptp_fun_T_0(X)), tau))) & ((~greater(age(X, tptp_fun_T_0(X)), tau)) | positional_advantage(X, tptp_fun_T_0(X))))))) <=> (~((~((~robust_position(X)) | ![T: $i] : (~((~((~positional_advantage(X, T)) | (~smaller_or_equal(age(X, T), tau)))) | (~((~greater(age(X, T), tau)) | positional_advantage(X, T))))))) | (~(robust_position(X) | (~((~positional_advantage(X, tptp_fun_T_0(X))) | (~smaller_or_equal(age(X, tptp_fun_T_0(X)), tau)))) | (~((~greater(age(X, tptp_fun_T_0(X)), tau)) | positional_advantage(X, tptp_fun_T_0(X))))))))))),
% 0.19/0.57 inference(bind,[status(th)],[])).
% 0.19/0.57 tff(140,plain,
% 0.19/0.57 (![X: $i] : (((~robust_position(X)) | ![T: $i] : (((~positional_advantage(X, T)) | (~smaller_or_equal(age(X, T), tau))) & ((~greater(age(X, T), tau)) | positional_advantage(X, T)))) & (robust_position(X) | (~(((~positional_advantage(X, tptp_fun_T_0(X))) | (~smaller_or_equal(age(X, tptp_fun_T_0(X)), tau))) & ((~greater(age(X, tptp_fun_T_0(X)), tau)) | positional_advantage(X, tptp_fun_T_0(X))))))) <=> ![X: $i] : (~((~((~robust_position(X)) | ![T: $i] : (~((~((~positional_advantage(X, T)) | (~smaller_or_equal(age(X, T), tau)))) | (~((~greater(age(X, T), tau)) | positional_advantage(X, T))))))) | (~(robust_position(X) | (~((~positional_advantage(X, tptp_fun_T_0(X))) | (~smaller_or_equal(age(X, tptp_fun_T_0(X)), tau)))) | (~((~greater(age(X, tptp_fun_T_0(X)), tau)) | positional_advantage(X, tptp_fun_T_0(X))))))))),
% 0.19/0.57 inference(quant_intro,[status(thm)],[139])).
% 0.19/0.57 tff(141,plain,
% 0.19/0.57 (![X: $i] : (robust_position(X) <=> ![T: $i] : (((~positional_advantage(X, T)) | (~smaller_or_equal(age(X, T), tau))) & ((~greater(age(X, T), tau)) | positional_advantage(X, T)))) <=> ![X: $i] : (robust_position(X) <=> ![T: $i] : (((~positional_advantage(X, T)) | (~smaller_or_equal(age(X, T), tau))) & ((~greater(age(X, T), tau)) | positional_advantage(X, T))))),
% 0.51/0.57 inference(rewrite,[status(thm)],[])).
% 0.51/0.57 tff(142,plain,
% 0.51/0.57 (^[X: $i] : rewrite((robust_position(X) <=> ![T: $i] : ((smaller_or_equal(age(X, T), tau) => (~positional_advantage(X, T))) & (greater(age(X, T), tau) => positional_advantage(X, T)))) <=> (robust_position(X) <=> ![T: $i] : (((~positional_advantage(X, T)) | (~smaller_or_equal(age(X, T), tau))) & ((~greater(age(X, T), tau)) | positional_advantage(X, T)))))),
% 0.51/0.57 inference(bind,[status(th)],[])).
% 0.51/0.57 tff(143,plain,
% 0.51/0.57 (![X: $i] : (robust_position(X) <=> ![T: $i] : ((smaller_or_equal(age(X, T), tau) => (~positional_advantage(X, T))) & (greater(age(X, T), tau) => positional_advantage(X, T)))) <=> ![X: $i] : (robust_position(X) <=> ![T: $i] : (((~positional_advantage(X, T)) | (~smaller_or_equal(age(X, T), tau))) & ((~greater(age(X, T), tau)) | positional_advantage(X, T))))),
% 0.51/0.57 inference(quant_intro,[status(thm)],[142])).
% 0.51/0.57 tff(144,axiom,(![X: $i] : (robust_position(X) <=> ![T: $i] : ((smaller_or_equal(age(X, T), tau) => (~positional_advantage(X, T))) & (greater(age(X, T), tau) => positional_advantage(X, T))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','definition_4')).
% 0.51/0.57 tff(145,plain,
% 0.51/0.57 (![X: $i] : (robust_position(X) <=> ![T: $i] : (((~positional_advantage(X, T)) | (~smaller_or_equal(age(X, T), tau))) & ((~greater(age(X, T), tau)) | positional_advantage(X, T))))),
% 0.51/0.57 inference(modus_ponens,[status(thm)],[144, 143])).
% 0.51/0.57 tff(146,plain,
% 0.51/0.57 (![X: $i] : (robust_position(X) <=> ![T: $i] : (((~positional_advantage(X, T)) | (~smaller_or_equal(age(X, T), tau))) & ((~greater(age(X, T), tau)) | positional_advantage(X, T))))),
% 0.51/0.57 inference(modus_ponens,[status(thm)],[145, 141])).
% 0.51/0.57 tff(147,plain,(
% 0.51/0.57 ![X: $i] : (((~robust_position(X)) | ![T: $i] : (((~positional_advantage(X, T)) | (~smaller_or_equal(age(X, T), tau))) & ((~greater(age(X, T), tau)) | positional_advantage(X, T)))) & (robust_position(X) | (~(((~positional_advantage(X, tptp_fun_T_0(X))) | (~smaller_or_equal(age(X, tptp_fun_T_0(X)), tau))) & ((~greater(age(X, tptp_fun_T_0(X)), tau)) | positional_advantage(X, tptp_fun_T_0(X)))))))),
% 0.51/0.57 inference(skolemize,[status(sab)],[146])).
% 0.51/0.57 tff(148,plain,
% 0.51/0.57 (![X: $i] : (~((~((~robust_position(X)) | ![T: $i] : (~((~((~positional_advantage(X, T)) | (~smaller_or_equal(age(X, T), tau)))) | (~((~greater(age(X, T), tau)) | positional_advantage(X, T))))))) | (~(robust_position(X) | (~((~positional_advantage(X, tptp_fun_T_0(X))) | (~smaller_or_equal(age(X, tptp_fun_T_0(X)), tau)))) | (~((~greater(age(X, tptp_fun_T_0(X)), tau)) | positional_advantage(X, tptp_fun_T_0(X))))))))),
% 0.51/0.57 inference(modus_ponens,[status(thm)],[147, 140])).
% 0.51/0.57 tff(149,plain,
% 0.51/0.57 (![X: $i] : (~((~((~robust_position(X)) | ![T: $i] : (~((~((~positional_advantage(X, T)) | (~smaller_or_equal(age(X, T), tau)))) | (~((~greater(age(X, T), tau)) | positional_advantage(X, T))))))) | (~(robust_position(X) | (~((~positional_advantage(X, tptp_fun_T_0(X))) | (~smaller_or_equal(age(X, tptp_fun_T_0(X)), tau)))) | (~((~greater(age(X, tptp_fun_T_0(X)), tau)) | positional_advantage(X, tptp_fun_T_0(X))))))))),
% 0.51/0.57 inference(modus_ponens,[status(thm)],[148, 138])).
% 0.51/0.57 tff(150,plain,
% 0.51/0.57 (![X: $i] : (~((~(robust_position(X) | (~((~positional_advantage(X, tptp_fun_T_0(X))) | (~smaller_or_equal(age(X, tptp_fun_T_0(X)), tau)))) | (~((~greater(age(X, tptp_fun_T_0(X)), tau)) | positional_advantage(X, tptp_fun_T_0(X)))))) | (~((~robust_position(X)) | ![T: $i] : (~((~((~positional_advantage(X, T)) | (~smaller_or_equal(age(X, T), tau)))) | (~((~greater(age(X, T), tau)) | positional_advantage(X, T)))))))))),
% 0.51/0.57 inference(modus_ponens,[status(thm)],[149, 133])).
% 0.51/0.57 tff(151,plain,
% 0.51/0.57 ((~![X: $i] : (~((~(robust_position(X) | (~((~positional_advantage(X, tptp_fun_T_0(X))) | (~smaller_or_equal(age(X, tptp_fun_T_0(X)), tau)))) | (~((~greater(age(X, tptp_fun_T_0(X)), tau)) | positional_advantage(X, tptp_fun_T_0(X)))))) | (~((~robust_position(X)) | ![T: $i] : (~((~((~positional_advantage(X, T)) | (~smaller_or_equal(age(X, T), tau)))) | (~((~greater(age(X, T), tau)) | positional_advantage(X, T)))))))))) | (~((~(robust_position(X!4) | (~((~positional_advantage(X!4, tptp_fun_T_0(X!4))) | (~smaller_or_equal(age(X!4, tptp_fun_T_0(X!4)), tau)))) | (~((~greater(age(X!4, tptp_fun_T_0(X!4)), tau)) | positional_advantage(X!4, tptp_fun_T_0(X!4)))))) | (~((~robust_position(X!4)) | ![T: $i] : (~((~((~positional_advantage(X!4, T)) | (~smaller_or_equal(age(X!4, T), tau)))) | (~((~greater(age(X!4, T), tau)) | positional_advantage(X!4, T)))))))))),
% 0.51/0.57 inference(quant_inst,[status(thm)],[])).
% 0.51/0.57 tff(152,plain,
% 0.51/0.57 (~((~(robust_position(X!4) | (~((~positional_advantage(X!4, tptp_fun_T_0(X!4))) | (~smaller_or_equal(age(X!4, tptp_fun_T_0(X!4)), tau)))) | (~((~greater(age(X!4, tptp_fun_T_0(X!4)), tau)) | positional_advantage(X!4, tptp_fun_T_0(X!4)))))) | (~((~robust_position(X!4)) | ![T: $i] : (~((~((~positional_advantage(X!4, T)) | (~smaller_or_equal(age(X!4, T), tau)))) | (~((~greater(age(X!4, T), tau)) | positional_advantage(X!4, T))))))))),
% 0.51/0.57 inference(unit_resolution,[status(thm)],[151, 150])).
% 0.51/0.57 tff(153,plain,
% 0.51/0.57 (((~(robust_position(X!4) | (~((~positional_advantage(X!4, tptp_fun_T_0(X!4))) | (~smaller_or_equal(age(X!4, tptp_fun_T_0(X!4)), tau)))) | (~((~greater(age(X!4, tptp_fun_T_0(X!4)), tau)) | positional_advantage(X!4, tptp_fun_T_0(X!4)))))) | (~((~robust_position(X!4)) | ![T: $i] : (~((~((~positional_advantage(X!4, T)) | (~smaller_or_equal(age(X!4, T), tau)))) | (~((~greater(age(X!4, T), tau)) | positional_advantage(X!4, T)))))))) | ((~robust_position(X!4)) | ![T: $i] : (~((~((~positional_advantage(X!4, T)) | (~smaller_or_equal(age(X!4, T), tau)))) | (~((~greater(age(X!4, T), tau)) | positional_advantage(X!4, T))))))),
% 0.51/0.57 inference(tautology,[status(thm)],[])).
% 0.51/0.57 tff(154,plain,
% 0.51/0.57 ((~robust_position(X!4)) | ![T: $i] : (~((~((~positional_advantage(X!4, T)) | (~smaller_or_equal(age(X!4, T), tau)))) | (~((~greater(age(X!4, T), tau)) | positional_advantage(X!4, T)))))),
% 0.51/0.57 inference(unit_resolution,[status(thm)],[153, 152])).
% 0.51/0.57 tff(155,plain,
% 0.51/0.57 (robust_position(X!4)),
% 0.51/0.57 inference(and_elim,[status(thm)],[30])).
% 0.51/0.57 tff(156,plain,
% 0.51/0.57 ((~((~robust_position(X!4)) | ![T: $i] : (~((~((~positional_advantage(X!4, T)) | (~smaller_or_equal(age(X!4, T), tau)))) | (~((~greater(age(X!4, T), tau)) | positional_advantage(X!4, T))))))) | (~robust_position(X!4)) | ![T: $i] : (~((~((~positional_advantage(X!4, T)) | (~smaller_or_equal(age(X!4, T), tau)))) | (~((~greater(age(X!4, T), tau)) | positional_advantage(X!4, T)))))),
% 0.51/0.57 inference(tautology,[status(thm)],[])).
% 0.51/0.57 tff(157,plain,
% 0.51/0.57 ((~((~robust_position(X!4)) | ![T: $i] : (~((~((~positional_advantage(X!4, T)) | (~smaller_or_equal(age(X!4, T), tau)))) | (~((~greater(age(X!4, T), tau)) | positional_advantage(X!4, T))))))) | ![T: $i] : (~((~((~positional_advantage(X!4, T)) | (~smaller_or_equal(age(X!4, T), tau)))) | (~((~greater(age(X!4, T), tau)) | positional_advantage(X!4, T)))))),
% 0.51/0.57 inference(unit_resolution,[status(thm)],[156, 155])).
% 0.51/0.57 tff(158,plain,
% 0.51/0.57 (![T: $i] : (~((~((~positional_advantage(X!4, T)) | (~smaller_or_equal(age(X!4, T), tau)))) | (~((~greater(age(X!4, T), tau)) | positional_advantage(X!4, T)))))),
% 0.51/0.57 inference(unit_resolution,[status(thm)],[157, 154])).
% 0.51/0.57 tff(159,plain,
% 0.51/0.57 ((~![T: $i] : (~((~((~positional_advantage(X!4, T)) | (~smaller_or_equal(age(X!4, T), tau)))) | (~((~greater(age(X!4, T), tau)) | positional_advantage(X!4, T)))))) | (~((~((~positional_advantage(X!4, T2!1)) | (~smaller_or_equal(age(X!4, T2!1), tau)))) | (~((~greater(age(X!4, T2!1), tau)) | positional_advantage(X!4, T2!1)))))),
% 0.51/0.57 inference(quant_inst,[status(thm)],[])).
% 0.51/0.57 tff(160,plain,
% 0.51/0.57 (~((~((~positional_advantage(X!4, T2!1)) | (~smaller_or_equal(age(X!4, T2!1), tau)))) | (~((~greater(age(X!4, T2!1), tau)) | positional_advantage(X!4, T2!1))))),
% 0.51/0.57 inference(unit_resolution,[status(thm)],[159, 158])).
% 0.51/0.57 tff(161,plain,
% 0.51/0.57 (((~((~positional_advantage(X!4, T2!1)) | (~smaller_or_equal(age(X!4, T2!1), tau)))) | (~((~greater(age(X!4, T2!1), tau)) | positional_advantage(X!4, T2!1)))) | ((~greater(age(X!4, T2!1), tau)) | positional_advantage(X!4, T2!1))),
% 0.51/0.57 inference(tautology,[status(thm)],[])).
% 0.51/0.57 tff(162,plain,
% 0.51/0.57 ((~greater(age(X!4, T2!1), tau)) | positional_advantage(X!4, T2!1)),
% 0.51/0.57 inference(unit_resolution,[status(thm)],[161, 160])).
% 0.51/0.57 tff(163,plain,
% 0.51/0.57 (sigma = tau),
% 0.51/0.57 inference(and_elim,[status(thm)],[30])).
% 0.51/0.57 tff(164,plain,
% 0.51/0.57 (tau = sigma),
% 0.51/0.57 inference(symmetry,[status(thm)],[163])).
% 0.51/0.57 tff(165,plain,
% 0.51/0.57 (greater(age(X!4, T2!1), tau) <=> greater(age(X!4, T2!1), sigma)),
% 0.51/0.57 inference(monotonicity,[status(thm)],[164])).
% 0.51/0.57 tff(166,plain,
% 0.51/0.57 (greater(age(X!4, T2!1), sigma) <=> greater(age(X!4, T2!1), tau)),
% 0.51/0.57 inference(symmetry,[status(thm)],[165])).
% 0.51/0.57 tff(167,plain,
% 0.51/0.57 (greater(age(X!4, T2!1), tau)),
% 0.51/0.57 inference(modus_ponens,[status(thm)],[53, 166])).
% 0.51/0.57 tff(168,plain,
% 0.51/0.57 ((~((~greater(age(X!4, T2!1), tau)) | positional_advantage(X!4, T2!1))) | (~greater(age(X!4, T2!1), tau)) | positional_advantage(X!4, T2!1)),
% 0.51/0.57 inference(tautology,[status(thm)],[])).
% 0.51/0.57 tff(169,plain,
% 0.51/0.57 ((~((~greater(age(X!4, T2!1), tau)) | positional_advantage(X!4, T2!1))) | positional_advantage(X!4, T2!1)),
% 0.51/0.57 inference(unit_resolution,[status(thm)],[168, 167])).
% 0.51/0.57 tff(170,plain,
% 0.51/0.57 (positional_advantage(X!4, T2!1)),
% 0.51/0.57 inference(unit_resolution,[status(thm)],[169, 162])).
% 0.51/0.57 tff(171,plain,
% 0.51/0.57 ((~((~positional_advantage(X!4, T2!1)) | is_aligned(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = mod1))) | (~positional_advantage(X!4, T2!1)) | is_aligned(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = mod1)),
% 0.51/0.57 inference(tautology,[status(thm)],[])).
% 0.51/0.57 tff(172,plain,
% 0.51/0.57 ((~((~positional_advantage(X!4, T2!1)) | is_aligned(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = mod1))) | is_aligned(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = mod1)),
% 0.51/0.57 inference(unit_resolution,[status(thm)],[171, 170])).
% 0.51/0.57 tff(173,plain,
% 0.51/0.57 (is_aligned(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = mod1)),
% 0.51/0.57 inference(unit_resolution,[status(thm)],[172, 131])).
% 0.51/0.57 tff(174,plain,
% 0.51/0.57 (hazard_of_mortality(X!4, T2!1) = mod1),
% 0.51/0.57 inference(unit_resolution,[status(thm)],[173, 81])).
% 0.51/0.57 tff(175,plain,
% 0.51/0.57 (smaller(hazard_of_mortality(X!4, T2!1), hazard_of_mortality(X!4, T1!2)) <=> smaller(mod1, mod2)),
% 0.51/0.57 inference(monotonicity,[status(thm)],[174, 16])).
% 0.51/0.57 tff(176,plain,
% 0.51/0.57 (smaller(mod1, mod2) <=> smaller(hazard_of_mortality(X!4, T2!1), hazard_of_mortality(X!4, T1!2))),
% 0.51/0.57 inference(symmetry,[status(thm)],[175])).
% 0.51/0.57 tff(177,plain,
% 0.51/0.57 (^[X: $i, Y: $i] : refl((smaller(X, Y) <=> greater(Y, X)) <=> (smaller(X, Y) <=> greater(Y, X)))),
% 0.51/0.57 inference(bind,[status(th)],[])).
% 0.51/0.57 tff(178,plain,
% 0.51/0.57 (![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X)) <=> ![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))),
% 0.51/0.57 inference(quant_intro,[status(thm)],[177])).
% 0.51/0.57 tff(179,plain,
% 0.51/0.57 (![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X)) <=> ![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))),
% 0.51/0.57 inference(rewrite,[status(thm)],[])).
% 0.51/0.57 tff(180,axiom,(![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))), file('/export/starexec/sandbox/benchmark/Axioms/MGT001+0.ax','definition_smaller')).
% 0.51/0.57 tff(181,plain,
% 0.51/0.57 (![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))),
% 0.51/0.57 inference(modus_ponens,[status(thm)],[180, 179])).
% 0.51/0.57 tff(182,plain,(
% 0.51/0.57 ![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))),
% 0.51/0.57 inference(skolemize,[status(sab)],[181])).
% 0.51/0.57 tff(183,plain,
% 0.51/0.57 (![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))),
% 0.51/0.57 inference(modus_ponens,[status(thm)],[182, 178])).
% 0.51/0.57 tff(184,plain,
% 0.51/0.57 ((~![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))) | (smaller(mod1, mod2) <=> greater(mod2, mod1))),
% 0.51/0.57 inference(quant_inst,[status(thm)],[])).
% 0.51/0.57 tff(185,plain,
% 0.51/0.57 (smaller(mod1, mod2) <=> greater(mod2, mod1)),
% 0.51/0.57 inference(unit_resolution,[status(thm)],[184, 183])).
% 0.51/0.57 tff(186,plain,
% 0.51/0.57 (greater(mod2, mod1) <=> greater(mod2, mod1)),
% 0.51/0.57 inference(rewrite,[status(thm)],[])).
% 0.51/0.57 tff(187,axiom,(greater(mod2, mod1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','assumption_19')).
% 0.51/0.57 tff(188,plain,
% 0.51/0.57 (greater(mod2, mod1)),
% 0.51/0.57 inference(modus_ponens,[status(thm)],[187, 186])).
% 0.51/0.57 tff(189,plain,
% 0.51/0.57 ((~(smaller(mod1, mod2) <=> greater(mod2, mod1))) | smaller(mod1, mod2) | (~greater(mod2, mod1))),
% 0.51/0.57 inference(tautology,[status(thm)],[])).
% 0.51/0.58 tff(190,plain,
% 0.51/0.58 ((~(smaller(mod1, mod2) <=> greater(mod2, mod1))) | smaller(mod1, mod2)),
% 0.51/0.58 inference(unit_resolution,[status(thm)],[189, 188])).
% 0.51/0.58 tff(191,plain,
% 0.51/0.58 (smaller(mod1, mod2)),
% 0.51/0.58 inference(unit_resolution,[status(thm)],[190, 185])).
% 0.51/0.58 tff(192,plain,
% 0.51/0.58 (smaller(hazard_of_mortality(X!4, T2!1), hazard_of_mortality(X!4, T1!2))),
% 0.51/0.58 inference(modus_ponens,[status(thm)],[191, 176])).
% 0.51/0.58 tff(193,assumption,(has_immunity(X!4, T0!3)), introduced(assumption)).
% 0.51/0.58 tff(194,plain,
% 0.51/0.58 (((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | (has_endowment(X!4) | (~organization(X!4)) | (~has_immunity(X!4, T0!3)))) <=> ((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | has_endowment(X!4) | (~organization(X!4)) | (~has_immunity(X!4, T0!3)))),
% 0.51/0.58 inference(rewrite,[status(thm)],[])).
% 0.51/0.58 tff(195,plain,
% 0.51/0.58 (((~has_immunity(X!4, T0!3)) | has_endowment(X!4) | (~organization(X!4))) <=> (has_endowment(X!4) | (~organization(X!4)) | (~has_immunity(X!4, T0!3)))),
% 0.51/0.58 inference(rewrite,[status(thm)],[])).
% 0.51/0.58 tff(196,plain,
% 0.51/0.58 (((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | ((~has_immunity(X!4, T0!3)) | has_endowment(X!4) | (~organization(X!4)))) <=> ((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | (has_endowment(X!4) | (~organization(X!4)) | (~has_immunity(X!4, T0!3))))),
% 0.51/0.58 inference(monotonicity,[status(thm)],[195])).
% 0.51/0.58 tff(197,plain,
% 0.51/0.58 (((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | ((~has_immunity(X!4, T0!3)) | has_endowment(X!4) | (~organization(X!4)))) <=> ((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | has_endowment(X!4) | (~organization(X!4)) | (~has_immunity(X!4, T0!3)))),
% 0.51/0.58 inference(transitivity,[status(thm)],[196, 194])).
% 0.51/0.58 tff(198,plain,
% 0.51/0.58 ((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | ((~has_immunity(X!4, T0!3)) | has_endowment(X!4) | (~organization(X!4)))),
% 0.51/0.58 inference(quant_inst,[status(thm)],[])).
% 0.51/0.58 tff(199,plain,
% 0.51/0.58 ((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | has_endowment(X!4) | (~organization(X!4)) | (~has_immunity(X!4, T0!3))),
% 0.51/0.58 inference(modus_ponens,[status(thm)],[198, 197])).
% 0.51/0.58 tff(200,plain,
% 0.51/0.58 ($false),
% 0.51/0.58 inference(unit_resolution,[status(thm)],[199, 96, 32, 83, 193])).
% 0.51/0.58 tff(201,plain,(~has_immunity(X!4, T0!3)), inference(lemma,lemma(discharge,[]))).
% 0.51/0.58 tff(202,plain,
% 0.51/0.58 (((~![X: $i, T: $i] : ((~organization(X)) | (~((~((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low))) | (~(has_immunity(X, T) | (~((~((~positional_advantage(X, T)) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = low))) | (~((~positional_advantage(X, T)) | is_aligned(X, T) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(positional_advantage(X, T) | is_aligned(X, T) | (hazard_of_mortality(X, T) = high))))))))))) | ((~organization(X!4)) | (~((~((~has_immunity(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = very_low))) | (~(has_immunity(X!4, T0!3) | (~((~((~positional_advantage(X!4, T0!3)) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = low))) | (~((~positional_advantage(X!4, T0!3)) | is_aligned(X!4, T0!3) | (hazard_of_mortality(X!4, T0!3) = mod1))) | (~(positional_advantage(X!4, T0!3) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = mod2))) | (~(is_aligned(X!4, T0!3) | positional_advantage(X!4, T0!3) | (hazard_of_mortality(X!4, T0!3) = high))))))))))) <=> ((~![X: $i, T: $i] : ((~organization(X)) | (~((~((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low))) | (~(has_immunity(X, T) | (~((~((~positional_advantage(X, T)) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = low))) | (~((~positional_advantage(X, T)) | is_aligned(X, T) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(positional_advantage(X, T) | is_aligned(X, T) | (hazard_of_mortality(X, T) = high))))))))))) | (~organization(X!4)) | (~((~((~has_immunity(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = very_low))) | (~(has_immunity(X!4, T0!3) | (~((~((~positional_advantage(X!4, T0!3)) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = low))) | (~((~positional_advantage(X!4, T0!3)) | is_aligned(X!4, T0!3) | (hazard_of_mortality(X!4, T0!3) = mod1))) | (~(positional_advantage(X!4, T0!3) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = mod2))) | (~(is_aligned(X!4, T0!3) | positional_advantage(X!4, T0!3) | (hazard_of_mortality(X!4, T0!3) = high))))))))))),
% 0.51/0.58 inference(rewrite,[status(thm)],[])).
% 0.51/0.58 tff(203,plain,
% 0.51/0.58 (((~organization(X!4)) | (~((~((~has_immunity(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = very_low))) | (~(has_immunity(X!4, T0!3) | (~((~((~positional_advantage(X!4, T0!3)) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = low))) | (~((~positional_advantage(X!4, T0!3)) | is_aligned(X!4, T0!3) | (hazard_of_mortality(X!4, T0!3) = mod1))) | (~(positional_advantage(X!4, T0!3) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = mod2))) | (~(positional_advantage(X!4, T0!3) | is_aligned(X!4, T0!3) | (hazard_of_mortality(X!4, T0!3) = high)))))))))) <=> ((~organization(X!4)) | (~((~((~has_immunity(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = very_low))) | (~(has_immunity(X!4, T0!3) | (~((~((~positional_advantage(X!4, T0!3)) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = low))) | (~((~positional_advantage(X!4, T0!3)) | is_aligned(X!4, T0!3) | (hazard_of_mortality(X!4, T0!3) = mod1))) | (~(positional_advantage(X!4, T0!3) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = mod2))) | (~(is_aligned(X!4, T0!3) | positional_advantage(X!4, T0!3) | (hazard_of_mortality(X!4, T0!3) = high))))))))))),
% 0.51/0.58 inference(rewrite,[status(thm)],[])).
% 0.51/0.58 tff(204,plain,
% 0.51/0.58 (((~![X: $i, T: $i] : ((~organization(X)) | (~((~((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low))) | (~(has_immunity(X, T) | (~((~((~positional_advantage(X, T)) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = low))) | (~((~positional_advantage(X, T)) | is_aligned(X, T) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(positional_advantage(X, T) | is_aligned(X, T) | (hazard_of_mortality(X, T) = high))))))))))) | ((~organization(X!4)) | (~((~((~has_immunity(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = very_low))) | (~(has_immunity(X!4, T0!3) | (~((~((~positional_advantage(X!4, T0!3)) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = low))) | (~((~positional_advantage(X!4, T0!3)) | is_aligned(X!4, T0!3) | (hazard_of_mortality(X!4, T0!3) = mod1))) | (~(positional_advantage(X!4, T0!3) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = mod2))) | (~(positional_advantage(X!4, T0!3) | is_aligned(X!4, T0!3) | (hazard_of_mortality(X!4, T0!3) = high))))))))))) <=> ((~![X: $i, T: $i] : ((~organization(X)) | (~((~((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low))) | (~(has_immunity(X, T) | (~((~((~positional_advantage(X, T)) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = low))) | (~((~positional_advantage(X, T)) | is_aligned(X, T) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(positional_advantage(X, T) | is_aligned(X, T) | (hazard_of_mortality(X, T) = high))))))))))) | ((~organization(X!4)) | (~((~((~has_immunity(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = very_low))) | (~(has_immunity(X!4, T0!3) | (~((~((~positional_advantage(X!4, T0!3)) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = low))) | (~((~positional_advantage(X!4, T0!3)) | is_aligned(X!4, T0!3) | (hazard_of_mortality(X!4, T0!3) = mod1))) | (~(positional_advantage(X!4, T0!3) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = mod2))) | (~(is_aligned(X!4, T0!3) | positional_advantage(X!4, T0!3) | (hazard_of_mortality(X!4, T0!3) = high)))))))))))),
% 0.51/0.58 inference(monotonicity,[status(thm)],[203])).
% 0.51/0.58 tff(205,plain,
% 0.51/0.58 (((~![X: $i, T: $i] : ((~organization(X)) | (~((~((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low))) | (~(has_immunity(X, T) | (~((~((~positional_advantage(X, T)) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = low))) | (~((~positional_advantage(X, T)) | is_aligned(X, T) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(positional_advantage(X, T) | is_aligned(X, T) | (hazard_of_mortality(X, T) = high))))))))))) | ((~organization(X!4)) | (~((~((~has_immunity(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = very_low))) | (~(has_immunity(X!4, T0!3) | (~((~((~positional_advantage(X!4, T0!3)) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = low))) | (~((~positional_advantage(X!4, T0!3)) | is_aligned(X!4, T0!3) | (hazard_of_mortality(X!4, T0!3) = mod1))) | (~(positional_advantage(X!4, T0!3) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = mod2))) | (~(positional_advantage(X!4, T0!3) | is_aligned(X!4, T0!3) | (hazard_of_mortality(X!4, T0!3) = high))))))))))) <=> ((~![X: $i, T: $i] : ((~organization(X)) | (~((~((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low))) | (~(has_immunity(X, T) | (~((~((~positional_advantage(X, T)) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = low))) | (~((~positional_advantage(X, T)) | is_aligned(X, T) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(positional_advantage(X, T) | is_aligned(X, T) | (hazard_of_mortality(X, T) = high))))))))))) | (~organization(X!4)) | (~((~((~has_immunity(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = very_low))) | (~(has_immunity(X!4, T0!3) | (~((~((~positional_advantage(X!4, T0!3)) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = low))) | (~((~positional_advantage(X!4, T0!3)) | is_aligned(X!4, T0!3) | (hazard_of_mortality(X!4, T0!3) = mod1))) | (~(positional_advantage(X!4, T0!3) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = mod2))) | (~(is_aligned(X!4, T0!3) | positional_advantage(X!4, T0!3) | (hazard_of_mortality(X!4, T0!3) = high))))))))))),
% 0.51/0.58 inference(transitivity,[status(thm)],[204, 202])).
% 0.51/0.58 tff(206,plain,
% 0.51/0.58 ((~![X: $i, T: $i] : ((~organization(X)) | (~((~((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low))) | (~(has_immunity(X, T) | (~((~((~positional_advantage(X, T)) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = low))) | (~((~positional_advantage(X, T)) | is_aligned(X, T) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(positional_advantage(X, T) | is_aligned(X, T) | (hazard_of_mortality(X, T) = high))))))))))) | ((~organization(X!4)) | (~((~((~has_immunity(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = very_low))) | (~(has_immunity(X!4, T0!3) | (~((~((~positional_advantage(X!4, T0!3)) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = low))) | (~((~positional_advantage(X!4, T0!3)) | is_aligned(X!4, T0!3) | (hazard_of_mortality(X!4, T0!3) = mod1))) | (~(positional_advantage(X!4, T0!3) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = mod2))) | (~(positional_advantage(X!4, T0!3) | is_aligned(X!4, T0!3) | (hazard_of_mortality(X!4, T0!3) = high))))))))))),
% 0.51/0.58 inference(quant_inst,[status(thm)],[])).
% 0.51/0.58 tff(207,plain,
% 0.51/0.58 ((~![X: $i, T: $i] : ((~organization(X)) | (~((~((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low))) | (~(has_immunity(X, T) | (~((~((~positional_advantage(X, T)) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = low))) | (~((~positional_advantage(X, T)) | is_aligned(X, T) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(positional_advantage(X, T) | is_aligned(X, T) | (hazard_of_mortality(X, T) = high))))))))))) | (~organization(X!4)) | (~((~((~has_immunity(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = very_low))) | (~(has_immunity(X!4, T0!3) | (~((~((~positional_advantage(X!4, T0!3)) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = low))) | (~((~positional_advantage(X!4, T0!3)) | is_aligned(X!4, T0!3) | (hazard_of_mortality(X!4, T0!3) = mod1))) | (~(positional_advantage(X!4, T0!3) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = mod2))) | (~(is_aligned(X!4, T0!3) | positional_advantage(X!4, T0!3) | (hazard_of_mortality(X!4, T0!3) = high)))))))))),
% 0.53/0.59 inference(modus_ponens,[status(thm)],[206, 205])).
% 0.53/0.59 tff(208,plain,
% 0.53/0.59 (~((~((~has_immunity(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = very_low))) | (~(has_immunity(X!4, T0!3) | (~((~((~positional_advantage(X!4, T0!3)) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = low))) | (~((~positional_advantage(X!4, T0!3)) | is_aligned(X!4, T0!3) | (hazard_of_mortality(X!4, T0!3) = mod1))) | (~(positional_advantage(X!4, T0!3) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = mod2))) | (~(is_aligned(X!4, T0!3) | positional_advantage(X!4, T0!3) | (hazard_of_mortality(X!4, T0!3) = high))))))))),
% 0.53/0.59 inference(unit_resolution,[status(thm)],[207, 117, 32])).
% 0.53/0.59 tff(209,plain,
% 0.53/0.59 (((~((~has_immunity(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = very_low))) | (~(has_immunity(X!4, T0!3) | (~((~((~positional_advantage(X!4, T0!3)) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = low))) | (~((~positional_advantage(X!4, T0!3)) | is_aligned(X!4, T0!3) | (hazard_of_mortality(X!4, T0!3) = mod1))) | (~(positional_advantage(X!4, T0!3) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = mod2))) | (~(is_aligned(X!4, T0!3) | positional_advantage(X!4, T0!3) | (hazard_of_mortality(X!4, T0!3) = high)))))))) | (has_immunity(X!4, T0!3) | (~((~((~positional_advantage(X!4, T0!3)) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = low))) | (~((~positional_advantage(X!4, T0!3)) | is_aligned(X!4, T0!3) | (hazard_of_mortality(X!4, T0!3) = mod1))) | (~(positional_advantage(X!4, T0!3) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = mod2))) | (~(is_aligned(X!4, T0!3) | positional_advantage(X!4, T0!3) | (hazard_of_mortality(X!4, T0!3) = high))))))),
% 0.53/0.59 inference(tautology,[status(thm)],[])).
% 0.53/0.59 tff(210,plain,
% 0.53/0.59 (has_immunity(X!4, T0!3) | (~((~((~positional_advantage(X!4, T0!3)) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = low))) | (~((~positional_advantage(X!4, T0!3)) | is_aligned(X!4, T0!3) | (hazard_of_mortality(X!4, T0!3) = mod1))) | (~(positional_advantage(X!4, T0!3) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = mod2))) | (~(is_aligned(X!4, T0!3) | positional_advantage(X!4, T0!3) | (hazard_of_mortality(X!4, T0!3) = high)))))),
% 0.53/0.59 inference(unit_resolution,[status(thm)],[209, 208])).
% 0.53/0.59 tff(211,plain,
% 0.53/0.59 ((~(has_immunity(X!4, T0!3) | (~((~((~positional_advantage(X!4, T0!3)) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = low))) | (~((~positional_advantage(X!4, T0!3)) | is_aligned(X!4, T0!3) | (hazard_of_mortality(X!4, T0!3) = mod1))) | (~(positional_advantage(X!4, T0!3) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = mod2))) | (~(is_aligned(X!4, T0!3) | positional_advantage(X!4, T0!3) | (hazard_of_mortality(X!4, T0!3) = high))))))) | has_immunity(X!4, T0!3) | (~((~((~positional_advantage(X!4, T0!3)) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = low))) | (~((~positional_advantage(X!4, T0!3)) | is_aligned(X!4, T0!3) | (hazard_of_mortality(X!4, T0!3) = mod1))) | (~(positional_advantage(X!4, T0!3) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = mod2))) | (~(is_aligned(X!4, T0!3) | positional_advantage(X!4, T0!3) | (hazard_of_mortality(X!4, T0!3) = high)))))),
% 0.53/0.59 inference(tautology,[status(thm)],[])).
% 0.53/0.59 tff(212,plain,
% 0.53/0.59 (has_immunity(X!4, T0!3) | (~((~((~positional_advantage(X!4, T0!3)) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = low))) | (~((~positional_advantage(X!4, T0!3)) | is_aligned(X!4, T0!3) | (hazard_of_mortality(X!4, T0!3) = mod1))) | (~(positional_advantage(X!4, T0!3) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = mod2))) | (~(is_aligned(X!4, T0!3) | positional_advantage(X!4, T0!3) | (hazard_of_mortality(X!4, T0!3) = high)))))),
% 0.53/0.59 inference(unit_resolution,[status(thm)],[211, 210])).
% 0.53/0.59 tff(213,plain,
% 0.53/0.59 (~((~((~positional_advantage(X!4, T0!3)) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = low))) | (~((~positional_advantage(X!4, T0!3)) | is_aligned(X!4, T0!3) | (hazard_of_mortality(X!4, T0!3) = mod1))) | (~(positional_advantage(X!4, T0!3) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = mod2))) | (~(is_aligned(X!4, T0!3) | positional_advantage(X!4, T0!3) | (hazard_of_mortality(X!4, T0!3) = high))))),
% 0.53/0.59 inference(unit_resolution,[status(thm)],[212, 201])).
% 0.53/0.59 tff(214,plain,
% 0.53/0.59 (((~((~positional_advantage(X!4, T0!3)) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = low))) | (~((~positional_advantage(X!4, T0!3)) | is_aligned(X!4, T0!3) | (hazard_of_mortality(X!4, T0!3) = mod1))) | (~(positional_advantage(X!4, T0!3) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = mod2))) | (~(is_aligned(X!4, T0!3) | positional_advantage(X!4, T0!3) | (hazard_of_mortality(X!4, T0!3) = high)))) | (positional_advantage(X!4, T0!3) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = mod2))),
% 0.53/0.59 inference(tautology,[status(thm)],[])).
% 0.53/0.59 tff(215,plain,
% 0.53/0.59 (positional_advantage(X!4, T0!3) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = mod2)),
% 0.53/0.59 inference(unit_resolution,[status(thm)],[214, 213])).
% 0.53/0.59 tff(216,plain,
% 0.53/0.59 ((~![T: $i] : (~((~((~positional_advantage(X!4, T)) | (~smaller_or_equal(age(X!4, T), tau)))) | (~((~greater(age(X!4, T), tau)) | positional_advantage(X!4, T)))))) | (~((~((~positional_advantage(X!4, T0!3)) | (~smaller_or_equal(age(X!4, T0!3), tau)))) | (~((~greater(age(X!4, T0!3), tau)) | positional_advantage(X!4, T0!3)))))),
% 0.53/0.59 inference(quant_inst,[status(thm)],[])).
% 0.53/0.59 tff(217,plain,
% 0.53/0.59 (~((~((~positional_advantage(X!4, T0!3)) | (~smaller_or_equal(age(X!4, T0!3), tau)))) | (~((~greater(age(X!4, T0!3), tau)) | positional_advantage(X!4, T0!3))))),
% 0.53/0.59 inference(unit_resolution,[status(thm)],[216, 158])).
% 0.53/0.59 tff(218,plain,
% 0.53/0.59 (((~((~positional_advantage(X!4, T0!3)) | (~smaller_or_equal(age(X!4, T0!3), tau)))) | (~((~greater(age(X!4, T0!3), tau)) | positional_advantage(X!4, T0!3)))) | ((~positional_advantage(X!4, T0!3)) | (~smaller_or_equal(age(X!4, T0!3), tau)))),
% 0.53/0.59 inference(tautology,[status(thm)],[])).
% 0.53/0.59 tff(219,plain,
% 0.53/0.59 ((~positional_advantage(X!4, T0!3)) | (~smaller_or_equal(age(X!4, T0!3), tau))),
% 0.53/0.59 inference(unit_resolution,[status(thm)],[218, 217])).
% 0.53/0.59 tff(220,plain,
% 0.53/0.59 (smaller_or_equal(age(X!4, T0!3), tau) <=> smaller_or_equal(zero, tau)),
% 0.53/0.59 inference(monotonicity,[status(thm)],[31])).
% 0.53/0.59 tff(221,plain,
% 0.53/0.59 (smaller_or_equal(zero, tau) <=> smaller_or_equal(age(X!4, T0!3), tau)),
% 0.53/0.59 inference(symmetry,[status(thm)],[220])).
% 0.53/0.59 tff(222,plain,
% 0.53/0.59 (^[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))))),
% 0.53/0.59 inference(bind,[status(th)],[])).
% 0.53/0.59 tff(223,plain,
% 0.53/0.59 (![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)))),
% 0.53/0.59 inference(quant_intro,[status(thm)],[222])).
% 0.53/0.59 tff(224,plain,
% 0.53/0.59 (![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)))),
% 0.53/0.59 inference(rewrite,[status(thm)],[])).
% 0.53/0.59 tff(225,plain,
% 0.53/0.59 (^[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))))),
% 0.53/0.59 inference(bind,[status(th)],[])).
% 0.53/0.59 tff(226,plain,
% 0.53/0.59 (![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)))),
% 0.53/0.59 inference(quant_intro,[status(thm)],[225])).
% 0.53/0.59 tff(227,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')).
% 0.53/0.59 tff(228,plain,
% 0.53/0.59 (![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))),
% 0.53/0.59 inference(modus_ponens,[status(thm)],[227, 226])).
% 0.53/0.59 tff(229,plain,
% 0.53/0.59 (![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))),
% 0.53/0.59 inference(modus_ponens,[status(thm)],[228, 224])).
% 0.53/0.59 tff(230,plain,(
% 0.53/0.59 ![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))),
% 0.53/0.59 inference(skolemize,[status(sab)],[229])).
% 0.53/0.59 tff(231,plain,
% 0.53/0.59 (![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))),
% 0.53/0.59 inference(modus_ponens,[status(thm)],[230, 223])).
% 0.53/0.59 tff(232,plain,
% 0.53/0.59 ((~![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))) | (smaller_or_equal(zero, tau) <=> ((zero = tau) | smaller(zero, tau)))),
% 0.53/0.59 inference(quant_inst,[status(thm)],[])).
% 0.53/0.59 tff(233,plain,
% 0.53/0.59 (smaller_or_equal(zero, tau) <=> ((zero = tau) | smaller(zero, tau))),
% 0.53/0.59 inference(unit_resolution,[status(thm)],[232, 231])).
% 0.53/0.59 tff(234,plain,
% 0.53/0.59 ((~![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))) | (smaller(zero, tau) <=> greater(tau, zero))),
% 0.53/0.59 inference(quant_inst,[status(thm)],[])).
% 0.53/0.59 tff(235,plain,
% 0.53/0.59 (smaller(zero, tau) <=> greater(tau, zero)),
% 0.53/0.59 inference(unit_resolution,[status(thm)],[234, 183])).
% 0.53/0.59 tff(236,plain,
% 0.53/0.59 (greater(tau, zero)),
% 0.53/0.59 inference(and_elim,[status(thm)],[30])).
% 0.53/0.59 tff(237,plain,
% 0.53/0.59 ((~(smaller(zero, tau) <=> greater(tau, zero))) | smaller(zero, tau) | (~greater(tau, zero))),
% 0.53/0.59 inference(tautology,[status(thm)],[])).
% 0.53/0.59 tff(238,plain,
% 0.53/0.59 ((~(smaller(zero, tau) <=> greater(tau, zero))) | smaller(zero, tau)),
% 0.53/0.59 inference(unit_resolution,[status(thm)],[237, 236])).
% 0.53/0.59 tff(239,plain,
% 0.53/0.59 (smaller(zero, tau)),
% 0.53/0.59 inference(unit_resolution,[status(thm)],[238, 235])).
% 0.53/0.59 tff(240,plain,
% 0.53/0.59 (((zero = tau) | smaller(zero, tau)) | (~smaller(zero, tau))),
% 0.53/0.59 inference(tautology,[status(thm)],[])).
% 0.53/0.59 tff(241,plain,
% 0.53/0.59 ((zero = tau) | smaller(zero, tau)),
% 0.53/0.59 inference(unit_resolution,[status(thm)],[240, 239])).
% 0.53/0.59 tff(242,plain,
% 0.53/0.59 ((~(smaller_or_equal(zero, tau) <=> ((zero = tau) | smaller(zero, tau)))) | smaller_or_equal(zero, tau) | (~((zero = tau) | smaller(zero, tau)))),
% 0.53/0.59 inference(tautology,[status(thm)],[])).
% 0.53/0.59 tff(243,plain,
% 0.53/0.59 ((~(smaller_or_equal(zero, tau) <=> ((zero = tau) | smaller(zero, tau)))) | smaller_or_equal(zero, tau)),
% 0.53/0.59 inference(unit_resolution,[status(thm)],[242, 241])).
% 0.53/0.59 tff(244,plain,
% 0.53/0.59 (smaller_or_equal(zero, tau)),
% 0.53/0.59 inference(unit_resolution,[status(thm)],[243, 233])).
% 0.53/0.59 tff(245,plain,
% 0.53/0.59 (smaller_or_equal(age(X!4, T0!3), tau)),
% 0.53/0.59 inference(modus_ponens,[status(thm)],[244, 221])).
% 0.53/0.59 tff(246,plain,
% 0.53/0.59 ((~((~positional_advantage(X!4, T0!3)) | (~smaller_or_equal(age(X!4, T0!3), tau)))) | (~positional_advantage(X!4, T0!3)) | (~smaller_or_equal(age(X!4, T0!3), tau))),
% 0.53/0.59 inference(tautology,[status(thm)],[])).
% 0.53/0.59 tff(247,plain,
% 0.53/0.59 (~positional_advantage(X!4, T0!3)),
% 0.53/0.59 inference(unit_resolution,[status(thm)],[246, 245, 219])).
% 0.53/0.59 tff(248,plain,
% 0.53/0.59 ((~(positional_advantage(X!4, T0!3) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = mod2))) | positional_advantage(X!4, T0!3) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = mod2)),
% 0.53/0.59 inference(tautology,[status(thm)],[])).
% 0.53/0.59 tff(249,plain,
% 0.53/0.59 ((~(positional_advantage(X!4, T0!3) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = mod2))) | positional_advantage(X!4, T0!3) | (hazard_of_mortality(X!4, T0!3) = mod2)),
% 0.53/0.59 inference(unit_resolution,[status(thm)],[248, 78])).
% 0.53/0.59 tff(250,plain,
% 0.53/0.59 ((~(positional_advantage(X!4, T0!3) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = mod2))) | (hazard_of_mortality(X!4, T0!3) = mod2)),
% 0.53/0.59 inference(unit_resolution,[status(thm)],[249, 247])).
% 0.53/0.59 tff(251,plain,
% 0.53/0.59 (hazard_of_mortality(X!4, T0!3) = mod2),
% 0.53/0.59 inference(unit_resolution,[status(thm)],[250, 215])).
% 0.53/0.59 tff(252,plain,
% 0.53/0.59 ((hazard_of_mortality(X!4, T1!2) = hazard_of_mortality(X!4, T0!3)) <=> (hazard_of_mortality(X!4, T1!2) = mod2)),
% 0.53/0.59 inference(monotonicity,[status(thm)],[251])).
% 0.53/0.60 tff(253,plain,
% 0.53/0.60 ((hazard_of_mortality(X!4, T1!2) = mod2) <=> (hazard_of_mortality(X!4, T1!2) = hazard_of_mortality(X!4, T0!3))),
% 0.53/0.60 inference(symmetry,[status(thm)],[252])).
% 0.53/0.60 tff(254,plain,
% 0.53/0.60 (hazard_of_mortality(X!4, T1!2) = hazard_of_mortality(X!4, T0!3)),
% 0.53/0.60 inference(modus_ponens,[status(thm)],[16, 253])).
% 0.53/0.60 tff(255,assumption,(~(hazard_of_mortality(X!4, T1!2) = hazard_of_mortality(X!4, T0!3))), introduced(assumption)).
% 0.53/0.60 tff(256,plain,
% 0.53/0.60 ($false),
% 0.53/0.60 inference(unit_resolution,[status(thm)],[255, 254])).
% 0.53/0.60 tff(257,plain,((~(hazard_of_mortality(X!4, T1!2) = mod2)) | (hazard_of_mortality(X!4, T1!2) = hazard_of_mortality(X!4, T0!3))), inference(lemma,lemma(discharge,[]))).
% 0.53/0.60 tff(258,plain,
% 0.53/0.60 (hazard_of_mortality(X!4, T1!2) = hazard_of_mortality(X!4, T0!3)),
% 0.53/0.60 inference(unit_resolution,[status(thm)],[257, 16])).
% 0.53/0.60 tff(259,plain,
% 0.53/0.60 ((~(~((~smaller(hazard_of_mortality(X!4, T2!1), hazard_of_mortality(X!4, T1!2))) | (~(hazard_of_mortality(X!4, T1!2) = hazard_of_mortality(X!4, T0!3)))))) <=> ((~smaller(hazard_of_mortality(X!4, T2!1), hazard_of_mortality(X!4, T1!2))) | (~(hazard_of_mortality(X!4, T1!2) = hazard_of_mortality(X!4, T0!3))))),
% 0.53/0.60 inference(rewrite,[status(thm)],[])).
% 0.53/0.60 tff(260,plain,
% 0.53/0.60 ((smaller(hazard_of_mortality(X!4, T2!1), hazard_of_mortality(X!4, T1!2)) & (hazard_of_mortality(X!4, T1!2) = hazard_of_mortality(X!4, T0!3))) <=> (~((~smaller(hazard_of_mortality(X!4, T2!1), hazard_of_mortality(X!4, T1!2))) | (~(hazard_of_mortality(X!4, T1!2) = hazard_of_mortality(X!4, T0!3)))))),
% 0.53/0.60 inference(rewrite,[status(thm)],[])).
% 0.53/0.60 tff(261,plain,
% 0.53/0.60 ((~(smaller(hazard_of_mortality(X!4, T2!1), hazard_of_mortality(X!4, T1!2)) & (hazard_of_mortality(X!4, T1!2) = hazard_of_mortality(X!4, T0!3)))) <=> (~(~((~smaller(hazard_of_mortality(X!4, T2!1), hazard_of_mortality(X!4, T1!2))) | (~(hazard_of_mortality(X!4, T1!2) = hazard_of_mortality(X!4, T0!3))))))),
% 0.53/0.60 inference(monotonicity,[status(thm)],[260])).
% 0.53/0.60 tff(262,plain,
% 0.53/0.60 ((~(smaller(hazard_of_mortality(X!4, T2!1), hazard_of_mortality(X!4, T1!2)) & (hazard_of_mortality(X!4, T1!2) = hazard_of_mortality(X!4, T0!3)))) <=> ((~smaller(hazard_of_mortality(X!4, T2!1), hazard_of_mortality(X!4, T1!2))) | (~(hazard_of_mortality(X!4, T1!2) = hazard_of_mortality(X!4, T0!3))))),
% 0.53/0.60 inference(transitivity,[status(thm)],[261, 259])).
% 0.53/0.60 tff(263,plain,
% 0.53/0.60 (~(smaller(hazard_of_mortality(X!4, T2!1), hazard_of_mortality(X!4, T1!2)) & (hazard_of_mortality(X!4, T1!2) = hazard_of_mortality(X!4, T0!3)))),
% 0.53/0.60 inference(or_elim,[status(thm)],[29])).
% 0.53/0.60 tff(264,plain,
% 0.53/0.60 ((~smaller(hazard_of_mortality(X!4, T2!1), hazard_of_mortality(X!4, T1!2))) | (~(hazard_of_mortality(X!4, T1!2) = hazard_of_mortality(X!4, T0!3)))),
% 0.53/0.60 inference(modus_ponens,[status(thm)],[263, 262])).
% 0.53/0.60 tff(265,plain,
% 0.53/0.60 (~smaller(hazard_of_mortality(X!4, T2!1), hazard_of_mortality(X!4, T1!2))),
% 0.53/0.60 inference(unit_resolution,[status(thm)],[264, 258])).
% 0.53/0.60 tff(266,plain,
% 0.53/0.60 ($false),
% 0.53/0.60 inference(unit_resolution,[status(thm)],[265, 192])).
% 0.53/0.60 tff(267,plain,(~(hazard_of_mortality(X!4, T1!2) = mod2)), inference(lemma,lemma(discharge,[]))).
% 0.53/0.60 tff(268,assumption,(has_immunity(X!4, T1!2)), introduced(assumption)).
% 0.53/0.60 tff(269,plain,
% 0.53/0.60 (((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | (has_endowment(X!4) | (~organization(X!4)) | (~has_immunity(X!4, T1!2)))) <=> ((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | has_endowment(X!4) | (~organization(X!4)) | (~has_immunity(X!4, T1!2)))),
% 0.53/0.60 inference(rewrite,[status(thm)],[])).
% 0.53/0.60 tff(270,plain,
% 0.53/0.60 (((~has_immunity(X!4, T1!2)) | has_endowment(X!4) | (~organization(X!4))) <=> (has_endowment(X!4) | (~organization(X!4)) | (~has_immunity(X!4, T1!2)))),
% 0.53/0.60 inference(rewrite,[status(thm)],[])).
% 0.53/0.60 tff(271,plain,
% 0.53/0.60 (((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | ((~has_immunity(X!4, T1!2)) | has_endowment(X!4) | (~organization(X!4)))) <=> ((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | (has_endowment(X!4) | (~organization(X!4)) | (~has_immunity(X!4, T1!2))))),
% 0.53/0.60 inference(monotonicity,[status(thm)],[270])).
% 0.53/0.60 tff(272,plain,
% 0.53/0.60 (((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | ((~has_immunity(X!4, T1!2)) | has_endowment(X!4) | (~organization(X!4)))) <=> ((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | has_endowment(X!4) | (~organization(X!4)) | (~has_immunity(X!4, T1!2)))),
% 0.53/0.60 inference(transitivity,[status(thm)],[271, 269])).
% 0.53/0.60 tff(273,plain,
% 0.53/0.60 ((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | ((~has_immunity(X!4, T1!2)) | has_endowment(X!4) | (~organization(X!4)))),
% 0.53/0.60 inference(quant_inst,[status(thm)],[])).
% 0.53/0.60 tff(274,plain,
% 0.53/0.60 ((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | has_endowment(X!4) | (~organization(X!4)) | (~has_immunity(X!4, T1!2))),
% 0.53/0.60 inference(modus_ponens,[status(thm)],[273, 272])).
% 0.53/0.60 tff(275,plain,
% 0.53/0.60 ($false),
% 0.53/0.60 inference(unit_resolution,[status(thm)],[274, 96, 32, 83, 268])).
% 0.53/0.60 tff(276,plain,(~has_immunity(X!4, T1!2)), inference(lemma,lemma(discharge,[]))).
% 0.53/0.60 tff(277,plain,
% 0.53/0.60 (((~![X: $i, T: $i] : ((~organization(X)) | (~((~((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low))) | (~(has_immunity(X, T) | (~((~((~positional_advantage(X, T)) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = low))) | (~((~positional_advantage(X, T)) | is_aligned(X, T) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(positional_advantage(X, T) | is_aligned(X, T) | (hazard_of_mortality(X, T) = high))))))))))) | ((~organization(X!4)) | (~((~((~has_immunity(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = very_low))) | (~(has_immunity(X!4, T1!2) | (~((~((~positional_advantage(X!4, T1!2)) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = low))) | (~((~positional_advantage(X!4, T1!2)) | is_aligned(X!4, T1!2) | (hazard_of_mortality(X!4, T1!2) = mod1))) | (~(positional_advantage(X!4, T1!2) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = mod2))) | (~(is_aligned(X!4, T1!2) | positional_advantage(X!4, T1!2) | (hazard_of_mortality(X!4, T1!2) = high))))))))))) <=> ((~![X: $i, T: $i] : ((~organization(X)) | (~((~((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low))) | (~(has_immunity(X, T) | (~((~((~positional_advantage(X, T)) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = low))) | (~((~positional_advantage(X, T)) | is_aligned(X, T) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(positional_advantage(X, T) | is_aligned(X, T) | (hazard_of_mortality(X, T) = high))))))))))) | (~organization(X!4)) | (~((~((~has_immunity(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = very_low))) | (~(has_immunity(X!4, T1!2) | (~((~((~positional_advantage(X!4, T1!2)) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = low))) | (~((~positional_advantage(X!4, T1!2)) | is_aligned(X!4, T1!2) | (hazard_of_mortality(X!4, T1!2) = mod1))) | (~(positional_advantage(X!4, T1!2) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = mod2))) | (~(is_aligned(X!4, T1!2) | positional_advantage(X!4, T1!2) | (hazard_of_mortality(X!4, T1!2) = high))))))))))),
% 0.53/0.60 inference(rewrite,[status(thm)],[])).
% 0.53/0.60 tff(278,plain,
% 0.53/0.60 (((~organization(X!4)) | (~((~((~has_immunity(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = very_low))) | (~(has_immunity(X!4, T1!2) | (~((~((~positional_advantage(X!4, T1!2)) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = low))) | (~((~positional_advantage(X!4, T1!2)) | is_aligned(X!4, T1!2) | (hazard_of_mortality(X!4, T1!2) = mod1))) | (~(positional_advantage(X!4, T1!2) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = mod2))) | (~(positional_advantage(X!4, T1!2) | is_aligned(X!4, T1!2) | (hazard_of_mortality(X!4, T1!2) = high)))))))))) <=> ((~organization(X!4)) | (~((~((~has_immunity(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = very_low))) | (~(has_immunity(X!4, T1!2) | (~((~((~positional_advantage(X!4, T1!2)) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = low))) | (~((~positional_advantage(X!4, T1!2)) | is_aligned(X!4, T1!2) | (hazard_of_mortality(X!4, T1!2) = mod1))) | (~(positional_advantage(X!4, T1!2) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = mod2))) | (~(is_aligned(X!4, T1!2) | positional_advantage(X!4, T1!2) | (hazard_of_mortality(X!4, T1!2) = high))))))))))),
% 0.53/0.60 inference(rewrite,[status(thm)],[])).
% 0.53/0.60 tff(279,plain,
% 0.53/0.60 (((~![X: $i, T: $i] : ((~organization(X)) | (~((~((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low))) | (~(has_immunity(X, T) | (~((~((~positional_advantage(X, T)) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = low))) | (~((~positional_advantage(X, T)) | is_aligned(X, T) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(positional_advantage(X, T) | is_aligned(X, T) | (hazard_of_mortality(X, T) = high))))))))))) | ((~organization(X!4)) | (~((~((~has_immunity(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = very_low))) | (~(has_immunity(X!4, T1!2) | (~((~((~positional_advantage(X!4, T1!2)) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = low))) | (~((~positional_advantage(X!4, T1!2)) | is_aligned(X!4, T1!2) | (hazard_of_mortality(X!4, T1!2) = mod1))) | (~(positional_advantage(X!4, T1!2) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = mod2))) | (~(positional_advantage(X!4, T1!2) | is_aligned(X!4, T1!2) | (hazard_of_mortality(X!4, T1!2) = high))))))))))) <=> ((~![X: $i, T: $i] : ((~organization(X)) | (~((~((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low))) | (~(has_immunity(X, T) | (~((~((~positional_advantage(X, T)) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = low))) | (~((~positional_advantage(X, T)) | is_aligned(X, T) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(positional_advantage(X, T) | is_aligned(X, T) | (hazard_of_mortality(X, T) = high))))))))))) | ((~organization(X!4)) | (~((~((~has_immunity(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = very_low))) | (~(has_immunity(X!4, T1!2) | (~((~((~positional_advantage(X!4, T1!2)) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = low))) | (~((~positional_advantage(X!4, T1!2)) | is_aligned(X!4, T1!2) | (hazard_of_mortality(X!4, T1!2) = mod1))) | (~(positional_advantage(X!4, T1!2) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = mod2))) | (~(is_aligned(X!4, T1!2) | positional_advantage(X!4, T1!2) | (hazard_of_mortality(X!4, T1!2) = high)))))))))))),
% 0.53/0.60 inference(monotonicity,[status(thm)],[278])).
% 0.53/0.60 tff(280,plain,
% 0.53/0.60 (((~![X: $i, T: $i] : ((~organization(X)) | (~((~((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low))) | (~(has_immunity(X, T) | (~((~((~positional_advantage(X, T)) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = low))) | (~((~positional_advantage(X, T)) | is_aligned(X, T) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(positional_advantage(X, T) | is_aligned(X, T) | (hazard_of_mortality(X, T) = high))))))))))) | ((~organization(X!4)) | (~((~((~has_immunity(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = very_low))) | (~(has_immunity(X!4, T1!2) | (~((~((~positional_advantage(X!4, T1!2)) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = low))) | (~((~positional_advantage(X!4, T1!2)) | is_aligned(X!4, T1!2) | (hazard_of_mortality(X!4, T1!2) = mod1))) | (~(positional_advantage(X!4, T1!2) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = mod2))) | (~(positional_advantage(X!4, T1!2) | is_aligned(X!4, T1!2) | (hazard_of_mortality(X!4, T1!2) = high))))))))))) <=> ((~![X: $i, T: $i] : ((~organization(X)) | (~((~((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low))) | (~(has_immunity(X, T) | (~((~((~positional_advantage(X, T)) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = low))) | (~((~positional_advantage(X, T)) | is_aligned(X, T) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(positional_advantage(X, T) | is_aligned(X, T) | (hazard_of_mortality(X, T) = high))))))))))) | (~organization(X!4)) | (~((~((~has_immunity(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = very_low))) | (~(has_immunity(X!4, T1!2) | (~((~((~positional_advantage(X!4, T1!2)) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = low))) | (~((~positional_advantage(X!4, T1!2)) | is_aligned(X!4, T1!2) | (hazard_of_mortality(X!4, T1!2) = mod1))) | (~(positional_advantage(X!4, T1!2) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = mod2))) | (~(is_aligned(X!4, T1!2) | positional_advantage(X!4, T1!2) | (hazard_of_mortality(X!4, T1!2) = high))))))))))),
% 0.53/0.61 inference(transitivity,[status(thm)],[279, 277])).
% 0.53/0.61 tff(281,plain,
% 0.53/0.61 ((~![X: $i, T: $i] : ((~organization(X)) | (~((~((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low))) | (~(has_immunity(X, T) | (~((~((~positional_advantage(X, T)) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = low))) | (~((~positional_advantage(X, T)) | is_aligned(X, T) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(positional_advantage(X, T) | is_aligned(X, T) | (hazard_of_mortality(X, T) = high))))))))))) | ((~organization(X!4)) | (~((~((~has_immunity(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = very_low))) | (~(has_immunity(X!4, T1!2) | (~((~((~positional_advantage(X!4, T1!2)) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = low))) | (~((~positional_advantage(X!4, T1!2)) | is_aligned(X!4, T1!2) | (hazard_of_mortality(X!4, T1!2) = mod1))) | (~(positional_advantage(X!4, T1!2) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = mod2))) | (~(positional_advantage(X!4, T1!2) | is_aligned(X!4, T1!2) | (hazard_of_mortality(X!4, T1!2) = high))))))))))),
% 0.53/0.61 inference(quant_inst,[status(thm)],[])).
% 0.53/0.61 tff(282,plain,
% 0.53/0.61 ((~![X: $i, T: $i] : ((~organization(X)) | (~((~((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low))) | (~(has_immunity(X, T) | (~((~((~positional_advantage(X, T)) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = low))) | (~((~positional_advantage(X, T)) | is_aligned(X, T) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(positional_advantage(X, T) | is_aligned(X, T) | (hazard_of_mortality(X, T) = high))))))))))) | (~organization(X!4)) | (~((~((~has_immunity(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = very_low))) | (~(has_immunity(X!4, T1!2) | (~((~((~positional_advantage(X!4, T1!2)) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = low))) | (~((~positional_advantage(X!4, T1!2)) | is_aligned(X!4, T1!2) | (hazard_of_mortality(X!4, T1!2) = mod1))) | (~(positional_advantage(X!4, T1!2) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = mod2))) | (~(is_aligned(X!4, T1!2) | positional_advantage(X!4, T1!2) | (hazard_of_mortality(X!4, T1!2) = high)))))))))),
% 0.53/0.61 inference(modus_ponens,[status(thm)],[281, 280])).
% 0.53/0.61 tff(283,plain,
% 0.53/0.61 (~((~((~has_immunity(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = very_low))) | (~(has_immunity(X!4, T1!2) | (~((~((~positional_advantage(X!4, T1!2)) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = low))) | (~((~positional_advantage(X!4, T1!2)) | is_aligned(X!4, T1!2) | (hazard_of_mortality(X!4, T1!2) = mod1))) | (~(positional_advantage(X!4, T1!2) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = mod2))) | (~(is_aligned(X!4, T1!2) | positional_advantage(X!4, T1!2) | (hazard_of_mortality(X!4, T1!2) = high))))))))),
% 0.53/0.61 inference(unit_resolution,[status(thm)],[282, 117, 32])).
% 0.53/0.61 tff(284,plain,
% 0.53/0.61 (((~((~has_immunity(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = very_low))) | (~(has_immunity(X!4, T1!2) | (~((~((~positional_advantage(X!4, T1!2)) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = low))) | (~((~positional_advantage(X!4, T1!2)) | is_aligned(X!4, T1!2) | (hazard_of_mortality(X!4, T1!2) = mod1))) | (~(positional_advantage(X!4, T1!2) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = mod2))) | (~(is_aligned(X!4, T1!2) | positional_advantage(X!4, T1!2) | (hazard_of_mortality(X!4, T1!2) = high)))))))) | (has_immunity(X!4, T1!2) | (~((~((~positional_advantage(X!4, T1!2)) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = low))) | (~((~positional_advantage(X!4, T1!2)) | is_aligned(X!4, T1!2) | (hazard_of_mortality(X!4, T1!2) = mod1))) | (~(positional_advantage(X!4, T1!2) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = mod2))) | (~(is_aligned(X!4, T1!2) | positional_advantage(X!4, T1!2) | (hazard_of_mortality(X!4, T1!2) = high))))))),
% 0.53/0.61 inference(tautology,[status(thm)],[])).
% 0.53/0.61 tff(285,plain,
% 0.53/0.61 (has_immunity(X!4, T1!2) | (~((~((~positional_advantage(X!4, T1!2)) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = low))) | (~((~positional_advantage(X!4, T1!2)) | is_aligned(X!4, T1!2) | (hazard_of_mortality(X!4, T1!2) = mod1))) | (~(positional_advantage(X!4, T1!2) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = mod2))) | (~(is_aligned(X!4, T1!2) | positional_advantage(X!4, T1!2) | (hazard_of_mortality(X!4, T1!2) = high)))))),
% 0.53/0.61 inference(unit_resolution,[status(thm)],[284, 283])).
% 0.53/0.61 tff(286,plain,
% 0.53/0.61 ((~(has_immunity(X!4, T1!2) | (~((~((~positional_advantage(X!4, T1!2)) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = low))) | (~((~positional_advantage(X!4, T1!2)) | is_aligned(X!4, T1!2) | (hazard_of_mortality(X!4, T1!2) = mod1))) | (~(positional_advantage(X!4, T1!2) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = mod2))) | (~(is_aligned(X!4, T1!2) | positional_advantage(X!4, T1!2) | (hazard_of_mortality(X!4, T1!2) = high))))))) | has_immunity(X!4, T1!2) | (~((~((~positional_advantage(X!4, T1!2)) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = low))) | (~((~positional_advantage(X!4, T1!2)) | is_aligned(X!4, T1!2) | (hazard_of_mortality(X!4, T1!2) = mod1))) | (~(positional_advantage(X!4, T1!2) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = mod2))) | (~(is_aligned(X!4, T1!2) | positional_advantage(X!4, T1!2) | (hazard_of_mortality(X!4, T1!2) = high)))))),
% 0.53/0.61 inference(tautology,[status(thm)],[])).
% 0.53/0.61 tff(287,plain,
% 0.53/0.61 (has_immunity(X!4, T1!2) | (~((~((~positional_advantage(X!4, T1!2)) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = low))) | (~((~positional_advantage(X!4, T1!2)) | is_aligned(X!4, T1!2) | (hazard_of_mortality(X!4, T1!2) = mod1))) | (~(positional_advantage(X!4, T1!2) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = mod2))) | (~(is_aligned(X!4, T1!2) | positional_advantage(X!4, T1!2) | (hazard_of_mortality(X!4, T1!2) = high)))))),
% 0.53/0.61 inference(unit_resolution,[status(thm)],[286, 285])).
% 0.53/0.61 tff(288,plain,
% 0.53/0.61 (~((~((~positional_advantage(X!4, T1!2)) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = low))) | (~((~positional_advantage(X!4, T1!2)) | is_aligned(X!4, T1!2) | (hazard_of_mortality(X!4, T1!2) = mod1))) | (~(positional_advantage(X!4, T1!2) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = mod2))) | (~(is_aligned(X!4, T1!2) | positional_advantage(X!4, T1!2) | (hazard_of_mortality(X!4, T1!2) = high))))),
% 0.53/0.61 inference(unit_resolution,[status(thm)],[287, 276])).
% 0.53/0.61 tff(289,plain,
% 0.53/0.61 (((~((~positional_advantage(X!4, T1!2)) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = low))) | (~((~positional_advantage(X!4, T1!2)) | is_aligned(X!4, T1!2) | (hazard_of_mortality(X!4, T1!2) = mod1))) | (~(positional_advantage(X!4, T1!2) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = mod2))) | (~(is_aligned(X!4, T1!2) | positional_advantage(X!4, T1!2) | (hazard_of_mortality(X!4, T1!2) = high)))) | (positional_advantage(X!4, T1!2) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = mod2))),
% 0.53/0.61 inference(tautology,[status(thm)],[])).
% 0.53/0.61 tff(290,plain,
% 0.53/0.61 (positional_advantage(X!4, T1!2) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = mod2)),
% 0.53/0.61 inference(unit_resolution,[status(thm)],[289, 288])).
% 0.53/0.61 tff(291,plain,
% 0.53/0.61 ((~![T: $i] : (~((~((~positional_advantage(X!4, T)) | (~smaller_or_equal(age(X!4, T), tau)))) | (~((~greater(age(X!4, T), tau)) | positional_advantage(X!4, T)))))) | (~((~((~positional_advantage(X!4, T1!2)) | (~smaller_or_equal(age(X!4, T1!2), tau)))) | (~((~greater(age(X!4, T1!2), tau)) | positional_advantage(X!4, T1!2)))))),
% 0.53/0.61 inference(quant_inst,[status(thm)],[])).
% 0.53/0.61 tff(292,plain,
% 0.53/0.61 (~((~((~positional_advantage(X!4, T1!2)) | (~smaller_or_equal(age(X!4, T1!2), tau)))) | (~((~greater(age(X!4, T1!2), tau)) | positional_advantage(X!4, T1!2))))),
% 0.53/0.61 inference(unit_resolution,[status(thm)],[291, 158])).
% 0.53/0.61 tff(293,plain,
% 0.53/0.61 (((~((~positional_advantage(X!4, T1!2)) | (~smaller_or_equal(age(X!4, T1!2), tau)))) | (~((~greater(age(X!4, T1!2), tau)) | positional_advantage(X!4, T1!2)))) | ((~positional_advantage(X!4, T1!2)) | (~smaller_or_equal(age(X!4, T1!2), tau)))),
% 0.53/0.61 inference(tautology,[status(thm)],[])).
% 0.53/0.61 tff(294,plain,
% 0.53/0.61 ((~positional_advantage(X!4, T1!2)) | (~smaller_or_equal(age(X!4, T1!2), tau))),
% 0.53/0.61 inference(unit_resolution,[status(thm)],[293, 292])).
% 0.53/0.61 tff(295,plain,
% 0.53/0.61 (smaller_or_equal(age(X!4, T1!2), tau) <=> smaller_or_equal(age(X!4, T1!2), sigma)),
% 0.53/0.61 inference(monotonicity,[status(thm)],[164])).
% 0.53/0.61 tff(296,plain,
% 0.53/0.61 (smaller_or_equal(age(X!4, T1!2), sigma) <=> smaller_or_equal(age(X!4, T1!2), tau)),
% 0.53/0.61 inference(symmetry,[status(thm)],[295])).
% 0.53/0.61 tff(297,plain,
% 0.53/0.61 (smaller_or_equal(age(X!4, T1!2), sigma)),
% 0.53/0.61 inference(and_elim,[status(thm)],[30])).
% 0.53/0.61 tff(298,plain,
% 0.53/0.61 (smaller_or_equal(age(X!4, T1!2), tau)),
% 0.53/0.61 inference(modus_ponens,[status(thm)],[297, 296])).
% 0.53/0.61 tff(299,plain,
% 0.53/0.61 ((~((~positional_advantage(X!4, T1!2)) | (~smaller_or_equal(age(X!4, T1!2), tau)))) | (~positional_advantage(X!4, T1!2)) | (~smaller_or_equal(age(X!4, T1!2), tau))),
% 0.53/0.61 inference(tautology,[status(thm)],[])).
% 0.53/0.61 tff(300,plain,
% 0.53/0.61 ((~((~positional_advantage(X!4, T1!2)) | (~smaller_or_equal(age(X!4, T1!2), tau)))) | (~positional_advantage(X!4, T1!2))),
% 0.53/0.61 inference(unit_resolution,[status(thm)],[299, 298])).
% 0.53/0.61 tff(301,plain,
% 0.53/0.61 (~positional_advantage(X!4, T1!2)),
% 0.53/0.61 inference(unit_resolution,[status(thm)],[300, 294])).
% 0.53/0.61 tff(302,plain,
% 0.53/0.61 ((~(positional_advantage(X!4, T1!2) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = mod2))) | positional_advantage(X!4, T1!2) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = mod2)),
% 0.53/0.61 inference(tautology,[status(thm)],[])).
% 0.53/0.61 tff(303,plain,
% 0.53/0.61 ((~(positional_advantage(X!4, T1!2) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = mod2))) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = mod2)),
% 0.53/0.61 inference(unit_resolution,[status(thm)],[302, 301])).
% 0.53/0.61 tff(304,plain,
% 0.53/0.61 ((~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = mod2)),
% 0.53/0.61 inference(unit_resolution,[status(thm)],[303, 290])).
% 0.53/0.61 tff(305,plain,
% 0.53/0.61 (~is_aligned(X!4, T1!2)),
% 0.53/0.61 inference(unit_resolution,[status(thm)],[304, 267])).
% 0.53/0.61 tff(306,plain,
% 0.53/0.61 ((~(is_aligned(X!4, T0!3) <=> is_aligned(X!4, T1!2))) | (~is_aligned(X!4, T0!3)) | is_aligned(X!4, T1!2)),
% 0.53/0.61 inference(tautology,[status(thm)],[])).
% 0.53/0.61 tff(307,plain,
% 0.53/0.61 (~(is_aligned(X!4, T0!3) <=> is_aligned(X!4, T1!2))),
% 0.53/0.61 inference(unit_resolution,[status(thm)],[306, 78, 305])).
% 0.53/0.61 tff(308,plain,
% 0.53/0.61 ((~((~organization(X!4)) | (is_aligned(X!4, T0!3) <=> is_aligned(X!4, T1!2)))) | (~organization(X!4)) | (is_aligned(X!4, T0!3) <=> is_aligned(X!4, T1!2))),
% 0.53/0.61 inference(tautology,[status(thm)],[])).
% 0.53/0.61 tff(309,plain,
% 0.53/0.61 (~((~organization(X!4)) | (is_aligned(X!4, T0!3) <=> is_aligned(X!4, T1!2)))),
% 0.53/0.61 inference(unit_resolution,[status(thm)],[308, 32, 307])).
% 0.53/0.61 tff(310,plain,
% 0.53/0.61 ((~(dissimilar(X!4, T0!3, T1!2) <=> (~((~organization(X!4)) | (is_aligned(X!4, T0!3) <=> is_aligned(X!4, T1!2)))))) | dissimilar(X!4, T0!3, T1!2) | ((~organization(X!4)) | (is_aligned(X!4, T0!3) <=> is_aligned(X!4, T1!2)))),
% 0.53/0.61 inference(tautology,[status(thm)],[])).
% 0.53/0.61 tff(311,plain,
% 0.53/0.62 ((~(dissimilar(X!4, T0!3, T1!2) <=> (~((~organization(X!4)) | (is_aligned(X!4, T0!3) <=> is_aligned(X!4, T1!2)))))) | dissimilar(X!4, T0!3, T1!2)),
% 0.53/0.62 inference(unit_resolution,[status(thm)],[310, 309])).
% 0.53/0.62 tff(312,plain,
% 0.53/0.62 (dissimilar(X!4, T0!3, T1!2)),
% 0.53/0.62 inference(unit_resolution,[status(thm)],[311, 15])).
% 0.53/0.62 tff(313,plain,
% 0.53/0.62 (greater(age(X!4, T1!2), sigma) <=> greater(age(X!4, T1!2), tau)),
% 0.53/0.62 inference(monotonicity,[status(thm)],[163])).
% 0.53/0.62 tff(314,plain,
% 0.53/0.62 (greater(age(X!4, T1!2), tau) <=> greater(age(X!4, T1!2), sigma)),
% 0.53/0.62 inference(symmetry,[status(thm)],[313])).
% 0.53/0.62 tff(315,plain,
% 0.53/0.62 ((~greater(age(X!4, T1!2), tau)) <=> (~greater(age(X!4, T1!2), sigma))),
% 0.53/0.62 inference(monotonicity,[status(thm)],[314])).
% 0.53/0.62 tff(316,plain,
% 0.53/0.62 (((~((~positional_advantage(X!4, T1!2)) | (~smaller_or_equal(age(X!4, T1!2), tau)))) | (~((~greater(age(X!4, T1!2), tau)) | positional_advantage(X!4, T1!2)))) | ((~greater(age(X!4, T1!2), tau)) | positional_advantage(X!4, T1!2))),
% 0.53/0.62 inference(tautology,[status(thm)],[])).
% 0.53/0.62 tff(317,plain,
% 0.53/0.62 ((~greater(age(X!4, T1!2), tau)) | positional_advantage(X!4, T1!2)),
% 0.53/0.62 inference(unit_resolution,[status(thm)],[316, 292])).
% 0.53/0.62 tff(318,plain,
% 0.53/0.62 ((~((~greater(age(X!4, T1!2), tau)) | positional_advantage(X!4, T1!2))) | (~greater(age(X!4, T1!2), tau)) | positional_advantage(X!4, T1!2)),
% 0.53/0.62 inference(tautology,[status(thm)],[])).
% 0.53/0.62 tff(319,plain,
% 0.53/0.62 (~greater(age(X!4, T1!2), tau)),
% 0.53/0.62 inference(unit_resolution,[status(thm)],[318, 301, 317])).
% 0.53/0.62 tff(320,plain,
% 0.53/0.62 (~greater(age(X!4, T1!2), sigma)),
% 0.53/0.62 inference(modus_ponens,[status(thm)],[319, 315])).
% 0.53/0.62 tff(321,plain,
% 0.53/0.62 ((~(greater(age(X!4, T1!2), sigma) <=> dissimilar(X!4, T0!3, T1!2))) | greater(age(X!4, T1!2), sigma) | (~dissimilar(X!4, T0!3, T1!2))),
% 0.53/0.62 inference(tautology,[status(thm)],[])).
% 0.53/0.62 tff(322,plain,
% 0.53/0.62 (~(greater(age(X!4, T1!2), sigma) <=> dissimilar(X!4, T0!3, T1!2))),
% 0.53/0.62 inference(unit_resolution,[status(thm)],[321, 320, 312])).
% 0.53/0.62 tff(323,plain,
% 0.53/0.62 (((~![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))) | ((~organization(X!4)) | (~(age(X!4, T0!3) = zero)) | (greater(age(X!4, T1!2), sigma) <=> dissimilar(X!4, T0!3, T1!2)))) <=> ((~![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))) | (~organization(X!4)) | (~(age(X!4, T0!3) = zero)) | (greater(age(X!4, T1!2), sigma) <=> dissimilar(X!4, T0!3, T1!2)))),
% 0.53/0.62 inference(rewrite,[status(thm)],[])).
% 0.53/0.62 tff(324,plain,
% 0.53/0.62 (((greater(age(X!4, T1!2), sigma) <=> dissimilar(X!4, T0!3, T1!2)) | (~organization(X!4)) | (~(age(X!4, T0!3) = zero))) <=> ((~organization(X!4)) | (~(age(X!4, T0!3) = zero)) | (greater(age(X!4, T1!2), sigma) <=> dissimilar(X!4, T0!3, T1!2)))),
% 0.53/0.62 inference(rewrite,[status(thm)],[])).
% 0.53/0.62 tff(325,plain,
% 0.53/0.62 (((~![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))) | ((greater(age(X!4, T1!2), sigma) <=> dissimilar(X!4, T0!3, T1!2)) | (~organization(X!4)) | (~(age(X!4, T0!3) = zero)))) <=> ((~![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))) | ((~organization(X!4)) | (~(age(X!4, T0!3) = zero)) | (greater(age(X!4, T1!2), sigma) <=> dissimilar(X!4, T0!3, T1!2))))),
% 0.53/0.62 inference(monotonicity,[status(thm)],[324])).
% 0.53/0.62 tff(326,plain,
% 0.53/0.62 (((~![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))) | ((greater(age(X!4, T1!2), sigma) <=> dissimilar(X!4, T0!3, T1!2)) | (~organization(X!4)) | (~(age(X!4, T0!3) = zero)))) <=> ((~![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))) | (~organization(X!4)) | (~(age(X!4, T0!3) = zero)) | (greater(age(X!4, T1!2), sigma) <=> dissimilar(X!4, T0!3, T1!2)))),
% 0.53/0.62 inference(transitivity,[status(thm)],[325, 323])).
% 0.53/0.62 tff(327,plain,
% 0.53/0.62 ((~![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))) | ((greater(age(X!4, T1!2), sigma) <=> dissimilar(X!4, T0!3, T1!2)) | (~organization(X!4)) | (~(age(X!4, T0!3) = zero)))),
% 0.53/0.62 inference(quant_inst,[status(thm)],[])).
% 0.53/0.62 tff(328,plain,
% 0.53/0.62 ((~![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))) | (~organization(X!4)) | (~(age(X!4, T0!3) = zero)) | (greater(age(X!4, T1!2), sigma) <=> dissimilar(X!4, T0!3, T1!2))),
% 0.53/0.62 inference(modus_ponens,[status(thm)],[327, 326])).
% 0.53/0.62 tff(329,plain,
% 0.53/0.62 ($false),
% 0.53/0.62 inference(unit_resolution,[status(thm)],[328, 45, 32, 31, 322])).
% 0.53/0.62 % SZS output end Proof
%------------------------------------------------------------------------------