TSTP Solution File: MGT063+1 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : MGT063+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n015.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 0.68s 0.67s
% Output : Proof 0.80s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : MGT063+1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.34 % Computer : n015.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 03:09:08 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.34 Usage: tptp [options] [-file:]file
% 0.13/0.34 -h, -? prints this message.
% 0.13/0.34 -smt2 print SMT-LIB2 benchmark.
% 0.13/0.34 -m, -model generate model.
% 0.13/0.34 -p, -proof generate proof.
% 0.13/0.34 -c, -core generate unsat core of named formulas.
% 0.13/0.34 -st, -statistics display statistics.
% 0.13/0.34 -t:timeout set timeout (in second).
% 0.13/0.34 -smt2status display status in smt2 format instead of SZS.
% 0.13/0.34 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.34 -<param>:<value> configuration parameter and value.
% 0.13/0.34 -o:<output-file> file to place output in.
% 0.68/0.67 % SZS status Theorem
% 0.68/0.67 % SZS output start Proof
% 0.68/0.67 tff(smaller_type, type, (
% 0.68/0.67 smaller: ( $i * $i ) > $o)).
% 0.68/0.67 tff(hazard_of_mortality_type, type, (
% 0.68/0.67 hazard_of_mortality: ( $i * $i ) > $i)).
% 0.68/0.67 tff(tptp_fun_T2_3_type, type, (
% 0.68/0.67 tptp_fun_T2_3: $i)).
% 0.68/0.67 tff(tptp_fun_X_6_type, type, (
% 0.68/0.67 tptp_fun_X_6: $i)).
% 0.68/0.67 tff(tptp_fun_T1_4_type, type, (
% 0.68/0.67 tptp_fun_T1_4: $i)).
% 0.68/0.67 tff(mod2_type, type, (
% 0.68/0.67 mod2: $i)).
% 0.68/0.67 tff(is_aligned_type, type, (
% 0.68/0.67 is_aligned: ( $i * $i ) > $o)).
% 0.68/0.67 tff(positional_advantage_type, type, (
% 0.68/0.67 positional_advantage: ( $i * $i ) > $o)).
% 0.68/0.67 tff(tptp_fun_T0_5_type, type, (
% 0.68/0.67 tptp_fun_T0_5: $i)).
% 0.68/0.67 tff(organization_type, type, (
% 0.68/0.67 organization: $i > $o)).
% 0.68/0.67 tff(dissimilar_type, type, (
% 0.68/0.67 dissimilar: ( $i * $i * $i ) > $o)).
% 0.68/0.67 tff(greater_type, type, (
% 0.68/0.67 greater: ( $i * $i ) > $o)).
% 0.68/0.67 tff(sigma_type, type, (
% 0.68/0.67 sigma: $i)).
% 0.68/0.67 tff(age_type, type, (
% 0.68/0.67 age: ( $i * $i ) > $i)).
% 0.68/0.67 tff(zero_type, type, (
% 0.68/0.67 zero: $i)).
% 0.68/0.67 tff(tau_type, type, (
% 0.68/0.67 tau: $i)).
% 0.68/0.67 tff(tptp_fun_T3_2_type, type, (
% 0.68/0.67 tptp_fun_T3_2: $i)).
% 0.68/0.67 tff(smaller_or_equal_type, type, (
% 0.68/0.67 smaller_or_equal: ( $i * $i ) > $o)).
% 0.68/0.67 tff(has_endowment_type, type, (
% 0.68/0.67 has_endowment: $i > $o)).
% 0.68/0.67 tff(robust_position_type, type, (
% 0.68/0.67 robust_position: $i > $o)).
% 0.68/0.67 tff(high_type, type, (
% 0.68/0.67 high: $i)).
% 0.68/0.67 tff(mod1_type, type, (
% 0.68/0.67 mod1: $i)).
% 0.68/0.67 tff(low_type, type, (
% 0.68/0.67 low: $i)).
% 0.68/0.67 tff(has_immunity_type, type, (
% 0.68/0.67 has_immunity: ( $i * $i ) > $o)).
% 0.68/0.67 tff(very_low_type, type, (
% 0.68/0.67 very_low: $i)).
% 0.68/0.67 tff(tptp_fun_T_1_type, type, (
% 0.68/0.67 tptp_fun_T_1: $i > $i)).
% 0.68/0.67 tff(1,plain,
% 0.68/0.67 (^[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))))))),
% 0.68/0.67 inference(bind,[status(th)],[])).
% 0.68/0.67 tff(2,plain,
% 0.68/0.67 (![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)))))),
% 0.68/0.67 inference(quant_intro,[status(thm)],[1])).
% 0.68/0.67 tff(3,plain,
% 0.68/0.67 (^[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))))))),
% 0.68/0.67 inference(bind,[status(th)],[])).
% 0.68/0.67 tff(4,plain,
% 0.68/0.67 (![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)))))),
% 0.68/0.67 inference(quant_intro,[status(thm)],[3])).
% 0.68/0.67 tff(5,plain,
% 0.68/0.67 (![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))))),
% 0.68/0.67 inference(rewrite,[status(thm)],[])).
% 0.68/0.67 tff(6,plain,
% 0.68/0.67 (^[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)))))),
% 0.68/0.67 inference(bind,[status(th)],[])).
% 0.68/0.67 tff(7,plain,
% 0.68/0.67 (![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))))),
% 0.68/0.67 inference(quant_intro,[status(thm)],[6])).
% 0.68/0.67 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')).
% 0.68/0.67 tff(9,plain,
% 0.68/0.67 (![X: $i, T0: $i, T: $i] : (dissimilar(X, T0, T) <=> (organization(X) & ((~is_aligned(X, T0)) <=> is_aligned(X, T))))),
% 0.68/0.67 inference(modus_ponens,[status(thm)],[8, 7])).
% 0.68/0.67 tff(10,plain,
% 0.68/0.67 (![X: $i, T0: $i, T: $i] : (dissimilar(X, T0, T) <=> (organization(X) & ((~is_aligned(X, T0)) <=> is_aligned(X, T))))),
% 0.68/0.67 inference(modus_ponens,[status(thm)],[9, 5])).
% 0.68/0.68 tff(11,plain,(
% 0.68/0.68 ![X: $i, T0: $i, T: $i] : (dissimilar(X, T0, T) <=> (organization(X) & ((~is_aligned(X, T0)) <=> is_aligned(X, T))))),
% 0.68/0.68 inference(skolemize,[status(sab)],[10])).
% 0.68/0.68 tff(12,plain,
% 0.68/0.68 (![X: $i, T0: $i, T: $i] : (dissimilar(X, T0, T) <=> (~((~organization(X)) | (is_aligned(X, T0) <=> is_aligned(X, T)))))),
% 0.68/0.68 inference(modus_ponens,[status(thm)],[11, 4])).
% 0.68/0.68 tff(13,plain,
% 0.68/0.68 (![X: $i, T0: $i, T: $i] : (dissimilar(X, T0, T) <=> (~((~organization(X)) | (is_aligned(X, T0) <=> is_aligned(X, T)))))),
% 0.68/0.68 inference(modus_ponens,[status(thm)],[12, 2])).
% 0.68/0.68 tff(14,plain,
% 0.68/0.68 ((~![X: $i, T0: $i, T: $i] : (dissimilar(X, T0, T) <=> (~((~organization(X)) | (is_aligned(X, T0) <=> is_aligned(X, T)))))) | (dissimilar(X!6, T0!5, T1!4) <=> (~((~organization(X!6)) | (is_aligned(X!6, T0!5) <=> is_aligned(X!6, T1!4)))))),
% 0.68/0.68 inference(quant_inst,[status(thm)],[])).
% 0.68/0.68 tff(15,plain,
% 0.68/0.68 (dissimilar(X!6, T0!5, T1!4) <=> (~((~organization(X!6)) | (is_aligned(X!6, T0!5) <=> is_aligned(X!6, T1!4))))),
% 0.68/0.68 inference(unit_resolution,[status(thm)],[14, 13])).
% 0.68/0.68 tff(16,plain,
% 0.68/0.68 ((~![X: $i, T0: $i, T1: $i, T2: $i, T3: $i] : ((~(organization(X) & robust_position(X) & (~has_endowment(X)) & (age(X, T0) = zero) & greater(sigma, zero) & greater(tau, zero) & smaller(sigma, tau) & smaller_or_equal(age(X, T1), sigma) & greater(age(X, T2), sigma) & smaller_or_equal(age(X, T2), tau) & greater(age(X, T3), tau))) | (smaller(hazard_of_mortality(X, T3), hazard_of_mortality(X, T1)) & smaller(hazard_of_mortality(X, T1), hazard_of_mortality(X, T2)) & (hazard_of_mortality(X, T1) = hazard_of_mortality(X, T0))))) <=> (~![X: $i, T0: $i, T1: $i, T2: $i, T3: $i] : ((~(organization(X) & robust_position(X) & (~has_endowment(X)) & (age(X, T0) = zero) & greater(sigma, zero) & greater(tau, zero) & smaller(sigma, tau) & smaller_or_equal(age(X, T1), sigma) & greater(age(X, T2), sigma) & smaller_or_equal(age(X, T2), tau) & greater(age(X, T3), tau))) | (smaller(hazard_of_mortality(X, T3), hazard_of_mortality(X, T1)) & smaller(hazard_of_mortality(X, T1), hazard_of_mortality(X, T2)) & (hazard_of_mortality(X, T1) = hazard_of_mortality(X, T0)))))),
% 0.68/0.68 inference(rewrite,[status(thm)],[])).
% 0.68/0.68 tff(17,plain,
% 0.68/0.68 ((~![X: $i, T0: $i, T1: $i, T2: $i, T3: $i] : (((((((((((organization(X) & robust_position(X)) & (~has_endowment(X))) & (age(X, T0) = zero)) & greater(sigma, zero)) & greater(tau, zero)) & smaller(sigma, tau)) & smaller_or_equal(age(X, T1), sigma)) & greater(age(X, T2), sigma)) & smaller_or_equal(age(X, T2), tau)) & greater(age(X, T3), tau)) => ((smaller(hazard_of_mortality(X, T3), hazard_of_mortality(X, T1)) & smaller(hazard_of_mortality(X, T1), hazard_of_mortality(X, T2))) & (hazard_of_mortality(X, T1) = hazard_of_mortality(X, T0))))) <=> (~![X: $i, T0: $i, T1: $i, T2: $i, T3: $i] : ((~(organization(X) & robust_position(X) & (~has_endowment(X)) & (age(X, T0) = zero) & greater(sigma, zero) & greater(tau, zero) & smaller(sigma, tau) & smaller_or_equal(age(X, T1), sigma) & greater(age(X, T2), sigma) & smaller_or_equal(age(X, T2), tau) & greater(age(X, T3), tau))) | (smaller(hazard_of_mortality(X, T3), hazard_of_mortality(X, T1)) & smaller(hazard_of_mortality(X, T1), hazard_of_mortality(X, T2)) & (hazard_of_mortality(X, T1) = hazard_of_mortality(X, T0)))))),
% 0.68/0.68 inference(rewrite,[status(thm)],[])).
% 0.68/0.68 tff(18,axiom,(~![X: $i, T0: $i, T1: $i, T2: $i, T3: $i] : (((((((((((organization(X) & robust_position(X)) & (~has_endowment(X))) & (age(X, T0) = zero)) & greater(sigma, zero)) & greater(tau, zero)) & smaller(sigma, tau)) & smaller_or_equal(age(X, T1), sigma)) & greater(age(X, T2), sigma)) & smaller_or_equal(age(X, T2), tau)) & greater(age(X, T3), tau)) => ((smaller(hazard_of_mortality(X, T3), hazard_of_mortality(X, T1)) & smaller(hazard_of_mortality(X, T1), hazard_of_mortality(X, T2))) & (hazard_of_mortality(X, T1) = hazard_of_mortality(X, T0))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','theorem_9')).
% 0.68/0.68 tff(19,plain,
% 0.68/0.68 (~![X: $i, T0: $i, T1: $i, T2: $i, T3: $i] : ((~(organization(X) & robust_position(X) & (~has_endowment(X)) & (age(X, T0) = zero) & greater(sigma, zero) & greater(tau, zero) & smaller(sigma, tau) & smaller_or_equal(age(X, T1), sigma) & greater(age(X, T2), sigma) & smaller_or_equal(age(X, T2), tau) & greater(age(X, T3), tau))) | (smaller(hazard_of_mortality(X, T3), hazard_of_mortality(X, T1)) & smaller(hazard_of_mortality(X, T1), hazard_of_mortality(X, T2)) & (hazard_of_mortality(X, T1) = hazard_of_mortality(X, T0))))),
% 0.68/0.68 inference(modus_ponens,[status(thm)],[18, 17])).
% 0.68/0.68 tff(20,plain,
% 0.68/0.68 (~![X: $i, T0: $i, T1: $i, T2: $i, T3: $i] : ((~(organization(X) & robust_position(X) & (~has_endowment(X)) & (age(X, T0) = zero) & greater(sigma, zero) & greater(tau, zero) & smaller(sigma, tau) & smaller_or_equal(age(X, T1), sigma) & greater(age(X, T2), sigma) & smaller_or_equal(age(X, T2), tau) & greater(age(X, T3), tau))) | (smaller(hazard_of_mortality(X, T3), hazard_of_mortality(X, T1)) & smaller(hazard_of_mortality(X, T1), hazard_of_mortality(X, T2)) & (hazard_of_mortality(X, T1) = hazard_of_mortality(X, T0))))),
% 0.68/0.68 inference(modus_ponens,[status(thm)],[19, 16])).
% 0.68/0.68 tff(21,plain,
% 0.68/0.68 (~![X: $i, T0: $i, T1: $i, T2: $i, T3: $i] : ((~(organization(X) & robust_position(X) & (~has_endowment(X)) & (age(X, T0) = zero) & greater(sigma, zero) & greater(tau, zero) & smaller(sigma, tau) & smaller_or_equal(age(X, T1), sigma) & greater(age(X, T2), sigma) & smaller_or_equal(age(X, T2), tau) & greater(age(X, T3), tau))) | (smaller(hazard_of_mortality(X, T3), hazard_of_mortality(X, T1)) & smaller(hazard_of_mortality(X, T1), hazard_of_mortality(X, T2)) & (hazard_of_mortality(X, T1) = hazard_of_mortality(X, T0))))),
% 0.68/0.68 inference(modus_ponens,[status(thm)],[20, 16])).
% 0.68/0.68 tff(22,plain,
% 0.68/0.68 (~![X: $i, T0: $i, T1: $i, T2: $i, T3: $i] : ((~(organization(X) & robust_position(X) & (~has_endowment(X)) & (age(X, T0) = zero) & greater(sigma, zero) & greater(tau, zero) & smaller(sigma, tau) & smaller_or_equal(age(X, T1), sigma) & greater(age(X, T2), sigma) & smaller_or_equal(age(X, T2), tau) & greater(age(X, T3), tau))) | (smaller(hazard_of_mortality(X, T3), hazard_of_mortality(X, T1)) & smaller(hazard_of_mortality(X, T1), hazard_of_mortality(X, T2)) & (hazard_of_mortality(X, T1) = hazard_of_mortality(X, T0))))),
% 0.68/0.68 inference(modus_ponens,[status(thm)],[21, 16])).
% 0.68/0.68 tff(23,plain,
% 0.68/0.68 (~![X: $i, T0: $i, T1: $i, T2: $i, T3: $i] : ((~(organization(X) & robust_position(X) & (~has_endowment(X)) & (age(X, T0) = zero) & greater(sigma, zero) & greater(tau, zero) & smaller(sigma, tau) & smaller_or_equal(age(X, T1), sigma) & greater(age(X, T2), sigma) & smaller_or_equal(age(X, T2), tau) & greater(age(X, T3), tau))) | (smaller(hazard_of_mortality(X, T3), hazard_of_mortality(X, T1)) & smaller(hazard_of_mortality(X, T1), hazard_of_mortality(X, T2)) & (hazard_of_mortality(X, T1) = hazard_of_mortality(X, T0))))),
% 0.68/0.68 inference(modus_ponens,[status(thm)],[22, 16])).
% 0.68/0.68 tff(24,plain,
% 0.68/0.68 (~![X: $i, T0: $i, T1: $i, T2: $i, T3: $i] : ((~(organization(X) & robust_position(X) & (~has_endowment(X)) & (age(X, T0) = zero) & greater(sigma, zero) & greater(tau, zero) & smaller(sigma, tau) & smaller_or_equal(age(X, T1), sigma) & greater(age(X, T2), sigma) & smaller_or_equal(age(X, T2), tau) & greater(age(X, T3), tau))) | (smaller(hazard_of_mortality(X, T3), hazard_of_mortality(X, T1)) & smaller(hazard_of_mortality(X, T1), hazard_of_mortality(X, T2)) & (hazard_of_mortality(X, T1) = hazard_of_mortality(X, T0))))),
% 0.68/0.68 inference(modus_ponens,[status(thm)],[23, 16])).
% 0.68/0.68 tff(25,plain,
% 0.68/0.68 (~![X: $i, T0: $i, T1: $i, T2: $i, T3: $i] : ((~(organization(X) & robust_position(X) & (~has_endowment(X)) & (age(X, T0) = zero) & greater(sigma, zero) & greater(tau, zero) & smaller(sigma, tau) & smaller_or_equal(age(X, T1), sigma) & greater(age(X, T2), sigma) & smaller_or_equal(age(X, T2), tau) & greater(age(X, T3), tau))) | (smaller(hazard_of_mortality(X, T3), hazard_of_mortality(X, T1)) & smaller(hazard_of_mortality(X, T1), hazard_of_mortality(X, T2)) & (hazard_of_mortality(X, T1) = hazard_of_mortality(X, T0))))),
% 0.68/0.68 inference(modus_ponens,[status(thm)],[24, 16])).
% 0.68/0.68 tff(26,plain,(
% 0.68/0.68 ~((~(organization(X!6) & robust_position(X!6) & (~has_endowment(X!6)) & (age(X!6, T0!5) = zero) & greater(sigma, zero) & greater(tau, zero) & smaller(sigma, tau) & smaller_or_equal(age(X!6, T1!4), sigma) & greater(age(X!6, T2!3), sigma) & smaller_or_equal(age(X!6, T2!3), tau) & greater(age(X!6, T3!2), tau))) | (smaller(hazard_of_mortality(X!6, T3!2), hazard_of_mortality(X!6, T1!4)) & smaller(hazard_of_mortality(X!6, T1!4), hazard_of_mortality(X!6, T2!3)) & (hazard_of_mortality(X!6, T1!4) = hazard_of_mortality(X!6, T0!5))))),
% 0.68/0.68 inference(skolemize,[status(sab)],[25])).
% 0.68/0.68 tff(27,plain,
% 0.68/0.68 (organization(X!6) & robust_position(X!6) & (~has_endowment(X!6)) & (age(X!6, T0!5) = zero) & greater(sigma, zero) & greater(tau, zero) & smaller(sigma, tau) & smaller_or_equal(age(X!6, T1!4), sigma) & greater(age(X!6, T2!3), sigma) & smaller_or_equal(age(X!6, T2!3), tau) & greater(age(X!6, T3!2), tau)),
% 0.68/0.68 inference(or_elim,[status(thm)],[26])).
% 0.68/0.68 tff(28,plain,
% 0.68/0.68 (age(X!6, T0!5) = zero),
% 0.68/0.68 inference(and_elim,[status(thm)],[27])).
% 0.68/0.68 tff(29,plain,
% 0.68/0.68 (organization(X!6)),
% 0.68/0.68 inference(and_elim,[status(thm)],[27])).
% 0.68/0.68 tff(30,plain,
% 0.68/0.68 (^[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))))),
% 0.68/0.68 inference(bind,[status(th)],[])).
% 0.68/0.68 tff(31,plain,
% 0.68/0.68 (![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)))),
% 0.68/0.68 inference(quant_intro,[status(thm)],[30])).
% 0.68/0.68 tff(32,plain,
% 0.68/0.68 (^[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)))))),
% 0.68/0.68 inference(bind,[status(th)],[])).
% 0.68/0.68 tff(33,plain,
% 0.68/0.68 (![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)))),
% 0.68/0.68 inference(quant_intro,[status(thm)],[32])).
% 0.68/0.68 tff(34,plain,
% 0.68/0.68 (![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)))),
% 0.68/0.68 inference(rewrite,[status(thm)],[])).
% 0.68/0.68 tff(35,plain,
% 0.68/0.68 (^[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))))),
% 0.68/0.68 inference(bind,[status(th)],[])).
% 0.68/0.68 tff(36,plain,
% 0.68/0.68 (![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)))),
% 0.68/0.68 inference(quant_intro,[status(thm)],[35])).
% 0.68/0.68 tff(37,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')).
% 0.68/0.68 tff(38,plain,
% 0.68/0.68 (![X: $i, T0: $i, T: $i] : ((~(organization(X) & (age(X, T0) = zero))) | (greater(age(X, T), sigma) <=> dissimilar(X, T0, T)))),
% 0.68/0.68 inference(modus_ponens,[status(thm)],[37, 36])).
% 0.68/0.68 tff(39,plain,
% 0.68/0.68 (![X: $i, T0: $i, T: $i] : ((~(organization(X) & (age(X, T0) = zero))) | (greater(age(X, T), sigma) <=> dissimilar(X, T0, T)))),
% 0.68/0.68 inference(modus_ponens,[status(thm)],[38, 34])).
% 0.68/0.68 tff(40,plain,(
% 0.68/0.68 ![X: $i, T0: $i, T: $i] : ((~(organization(X) & (age(X, T0) = zero))) | (greater(age(X, T), sigma) <=> dissimilar(X, T0, T)))),
% 0.68/0.68 inference(skolemize,[status(sab)],[39])).
% 0.68/0.68 tff(41,plain,
% 0.68/0.68 (![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))),
% 0.68/0.68 inference(modus_ponens,[status(thm)],[40, 33])).
% 0.68/0.68 tff(42,plain,
% 0.68/0.68 (![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))),
% 0.68/0.68 inference(modus_ponens,[status(thm)],[41, 31])).
% 0.68/0.68 tff(43,plain,
% 0.68/0.68 (((~![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))) | ((~organization(X!6)) | (~(age(X!6, T0!5) = zero)) | (greater(age(X!6, T1!4), sigma) <=> dissimilar(X!6, T0!5, T1!4)))) <=> ((~![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))) | (~organization(X!6)) | (~(age(X!6, T0!5) = zero)) | (greater(age(X!6, T1!4), sigma) <=> dissimilar(X!6, T0!5, T1!4)))),
% 0.68/0.68 inference(rewrite,[status(thm)],[])).
% 0.68/0.68 tff(44,plain,
% 0.68/0.68 (((greater(age(X!6, T1!4), sigma) <=> dissimilar(X!6, T0!5, T1!4)) | (~organization(X!6)) | (~(age(X!6, T0!5) = zero))) <=> ((~organization(X!6)) | (~(age(X!6, T0!5) = zero)) | (greater(age(X!6, T1!4), sigma) <=> dissimilar(X!6, T0!5, T1!4)))),
% 0.68/0.68 inference(rewrite,[status(thm)],[])).
% 0.68/0.68 tff(45,plain,
% 0.68/0.68 (((~![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))) | ((greater(age(X!6, T1!4), sigma) <=> dissimilar(X!6, T0!5, T1!4)) | (~organization(X!6)) | (~(age(X!6, T0!5) = zero)))) <=> ((~![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))) | ((~organization(X!6)) | (~(age(X!6, T0!5) = zero)) | (greater(age(X!6, T1!4), sigma) <=> dissimilar(X!6, T0!5, T1!4))))),
% 0.68/0.68 inference(monotonicity,[status(thm)],[44])).
% 0.68/0.68 tff(46,plain,
% 0.68/0.68 (((~![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))) | ((greater(age(X!6, T1!4), sigma) <=> dissimilar(X!6, T0!5, T1!4)) | (~organization(X!6)) | (~(age(X!6, T0!5) = zero)))) <=> ((~![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))) | (~organization(X!6)) | (~(age(X!6, T0!5) = zero)) | (greater(age(X!6, T1!4), sigma) <=> dissimilar(X!6, T0!5, T1!4)))),
% 0.68/0.68 inference(transitivity,[status(thm)],[45, 43])).
% 0.68/0.68 tff(47,plain,
% 0.68/0.68 ((~![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))) | ((greater(age(X!6, T1!4), sigma) <=> dissimilar(X!6, T0!5, T1!4)) | (~organization(X!6)) | (~(age(X!6, T0!5) = zero)))),
% 0.68/0.68 inference(quant_inst,[status(thm)],[])).
% 0.68/0.68 tff(48,plain,
% 0.68/0.68 ((~![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))) | (~organization(X!6)) | (~(age(X!6, T0!5) = zero)) | (greater(age(X!6, T1!4), sigma) <=> dissimilar(X!6, T0!5, T1!4))),
% 0.68/0.68 inference(modus_ponens,[status(thm)],[47, 46])).
% 0.68/0.68 tff(49,plain,
% 0.68/0.68 (greater(age(X!6, T1!4), sigma) <=> dissimilar(X!6, T0!5, T1!4)),
% 0.68/0.68 inference(unit_resolution,[status(thm)],[48, 42, 29, 28])).
% 0.68/0.68 tff(50,plain,
% 0.68/0.68 (^[X: $i, Y: $i] : refl((smaller(X, Y) <=> greater(Y, X)) <=> (smaller(X, Y) <=> greater(Y, X)))),
% 0.68/0.68 inference(bind,[status(th)],[])).
% 0.68/0.68 tff(51,plain,
% 0.68/0.68 (![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X)) <=> ![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))),
% 0.68/0.68 inference(quant_intro,[status(thm)],[50])).
% 0.68/0.68 tff(52,plain,
% 0.68/0.68 (![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X)) <=> ![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))),
% 0.68/0.68 inference(rewrite,[status(thm)],[])).
% 0.68/0.68 tff(53,axiom,(![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))), file('/export/starexec/sandbox/benchmark/Axioms/MGT001+0.ax','definition_smaller')).
% 0.68/0.68 tff(54,plain,
% 0.68/0.68 (![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))),
% 0.68/0.68 inference(modus_ponens,[status(thm)],[53, 52])).
% 0.68/0.68 tff(55,plain,(
% 0.68/0.68 ![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))),
% 0.68/0.68 inference(skolemize,[status(sab)],[54])).
% 0.68/0.68 tff(56,plain,
% 0.68/0.68 (![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))),
% 0.68/0.68 inference(modus_ponens,[status(thm)],[55, 51])).
% 0.68/0.68 tff(57,plain,
% 0.68/0.68 ((~![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))) | (smaller(age(X!6, T1!4), sigma) <=> greater(sigma, age(X!6, T1!4)))),
% 0.68/0.68 inference(quant_inst,[status(thm)],[])).
% 0.68/0.68 tff(58,plain,
% 0.68/0.68 (smaller(age(X!6, T1!4), sigma) <=> greater(sigma, age(X!6, T1!4))),
% 0.68/0.68 inference(unit_resolution,[status(thm)],[57, 56])).
% 0.68/0.68 tff(59,assumption,(greater(age(X!6, T1!4), sigma)), introduced(assumption)).
% 0.68/0.68 tff(60,plain,
% 0.68/0.68 (^[X: $i, Y: $i] : refl(((~greater(X, Y)) | (~greater(Y, X))) <=> ((~greater(X, Y)) | (~greater(Y, X))))),
% 0.68/0.68 inference(bind,[status(th)],[])).
% 0.68/0.68 tff(61,plain,
% 0.68/0.68 (![X: $i, Y: $i] : ((~greater(X, Y)) | (~greater(Y, X))) <=> ![X: $i, Y: $i] : ((~greater(X, Y)) | (~greater(Y, X)))),
% 0.68/0.68 inference(quant_intro,[status(thm)],[60])).
% 0.68/0.68 tff(62,plain,
% 0.68/0.68 (^[X: $i, Y: $i] : trans(monotonicity(rewrite((greater(X, Y) & greater(Y, X)) <=> (~((~greater(X, Y)) | (~greater(Y, X))))), ((~(greater(X, Y) & greater(Y, X))) <=> (~(~((~greater(X, Y)) | (~greater(Y, X))))))), rewrite((~(~((~greater(X, Y)) | (~greater(Y, X))))) <=> ((~greater(X, Y)) | (~greater(Y, X)))), ((~(greater(X, Y) & greater(Y, X))) <=> ((~greater(X, Y)) | (~greater(Y, X)))))),
% 0.68/0.68 inference(bind,[status(th)],[])).
% 0.68/0.68 tff(63,plain,
% 0.68/0.68 (![X: $i, Y: $i] : (~(greater(X, Y) & greater(Y, X))) <=> ![X: $i, Y: $i] : ((~greater(X, Y)) | (~greater(Y, X)))),
% 0.68/0.68 inference(quant_intro,[status(thm)],[62])).
% 0.68/0.68 tff(64,plain,
% 0.68/0.68 (![X: $i, Y: $i] : (~(greater(X, Y) & greater(Y, X))) <=> ![X: $i, Y: $i] : (~(greater(X, Y) & greater(Y, X)))),
% 0.68/0.68 inference(rewrite,[status(thm)],[])).
% 0.68/0.68 tff(65,axiom,(![X: $i, Y: $i] : (~(greater(X, Y) & greater(Y, X)))), file('/export/starexec/sandbox/benchmark/Axioms/MGT001+0.ax','meaning_postulate_greater_strict')).
% 0.68/0.68 tff(66,plain,
% 0.68/0.68 (![X: $i, Y: $i] : (~(greater(X, Y) & greater(Y, X)))),
% 0.68/0.68 inference(modus_ponens,[status(thm)],[65, 64])).
% 0.68/0.68 tff(67,plain,(
% 0.68/0.68 ![X: $i, Y: $i] : (~(greater(X, Y) & greater(Y, X)))),
% 0.68/0.68 inference(skolemize,[status(sab)],[66])).
% 0.68/0.68 tff(68,plain,
% 0.68/0.68 (![X: $i, Y: $i] : ((~greater(X, Y)) | (~greater(Y, X)))),
% 0.68/0.68 inference(modus_ponens,[status(thm)],[67, 63])).
% 0.68/0.68 tff(69,plain,
% 0.68/0.68 (![X: $i, Y: $i] : ((~greater(X, Y)) | (~greater(Y, X)))),
% 0.68/0.68 inference(modus_ponens,[status(thm)],[68, 61])).
% 0.68/0.68 tff(70,plain,
% 0.68/0.68 (((~![X: $i, Y: $i] : ((~greater(X, Y)) | (~greater(Y, X)))) | ((~greater(sigma, age(X!6, T1!4))) | (~greater(age(X!6, T1!4), sigma)))) <=> ((~![X: $i, Y: $i] : ((~greater(X, Y)) | (~greater(Y, X)))) | (~greater(sigma, age(X!6, T1!4))) | (~greater(age(X!6, T1!4), sigma)))),
% 0.68/0.68 inference(rewrite,[status(thm)],[])).
% 0.68/0.68 tff(71,plain,
% 0.68/0.68 ((~![X: $i, Y: $i] : ((~greater(X, Y)) | (~greater(Y, X)))) | ((~greater(sigma, age(X!6, T1!4))) | (~greater(age(X!6, T1!4), sigma)))),
% 0.68/0.68 inference(quant_inst,[status(thm)],[])).
% 0.68/0.68 tff(72,plain,
% 0.68/0.68 ((~![X: $i, Y: $i] : ((~greater(X, Y)) | (~greater(Y, X)))) | (~greater(sigma, age(X!6, T1!4))) | (~greater(age(X!6, T1!4), sigma))),
% 0.68/0.68 inference(modus_ponens,[status(thm)],[71, 70])).
% 0.68/0.68 tff(73,plain,
% 0.68/0.68 ((~greater(sigma, age(X!6, T1!4))) | (~greater(age(X!6, T1!4), sigma))),
% 0.68/0.68 inference(unit_resolution,[status(thm)],[72, 69])).
% 0.68/0.68 tff(74,plain,
% 0.68/0.68 (~greater(sigma, age(X!6, T1!4))),
% 0.68/0.68 inference(unit_resolution,[status(thm)],[73, 59])).
% 0.68/0.68 tff(75,plain,
% 0.68/0.68 ((~(smaller(age(X!6, T1!4), sigma) <=> greater(sigma, age(X!6, T1!4)))) | (~smaller(age(X!6, T1!4), sigma)) | greater(sigma, age(X!6, T1!4))),
% 0.68/0.68 inference(tautology,[status(thm)],[])).
% 0.68/0.68 tff(76,plain,
% 0.68/0.68 ((~(smaller(age(X!6, T1!4), sigma) <=> greater(sigma, age(X!6, T1!4)))) | (~smaller(age(X!6, T1!4), sigma))),
% 0.68/0.68 inference(unit_resolution,[status(thm)],[75, 74])).
% 0.68/0.68 tff(77,plain,
% 0.68/0.68 (~smaller(age(X!6, T1!4), sigma)),
% 0.68/0.68 inference(unit_resolution,[status(thm)],[76, 58])).
% 0.68/0.68 tff(78,plain,
% 0.68/0.68 (^[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))))),
% 0.68/0.68 inference(bind,[status(th)],[])).
% 0.68/0.68 tff(79,plain,
% 0.68/0.68 (![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)))),
% 0.68/0.68 inference(quant_intro,[status(thm)],[78])).
% 0.68/0.68 tff(80,plain,
% 0.68/0.68 (![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)))),
% 0.68/0.68 inference(rewrite,[status(thm)],[])).
% 0.68/0.68 tff(81,plain,
% 0.68/0.68 (^[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))))),
% 0.68/0.68 inference(bind,[status(th)],[])).
% 0.68/0.68 tff(82,plain,
% 0.68/0.68 (![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)))),
% 0.68/0.68 inference(quant_intro,[status(thm)],[81])).
% 0.68/0.68 tff(83,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')).
% 0.68/0.68 tff(84,plain,
% 0.68/0.68 (![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))),
% 0.68/0.68 inference(modus_ponens,[status(thm)],[83, 82])).
% 0.68/0.68 tff(85,plain,
% 0.68/0.68 (![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))),
% 0.68/0.68 inference(modus_ponens,[status(thm)],[84, 80])).
% 0.68/0.68 tff(86,plain,(
% 0.68/0.68 ![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))),
% 0.68/0.68 inference(skolemize,[status(sab)],[85])).
% 0.68/0.68 tff(87,plain,
% 0.68/0.68 (![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))),
% 0.68/0.68 inference(modus_ponens,[status(thm)],[86, 79])).
% 0.68/0.68 tff(88,plain,
% 0.68/0.68 ((~![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))) | (smaller_or_equal(age(X!6, T1!4), sigma) <=> ((age(X!6, T1!4) = sigma) | smaller(age(X!6, T1!4), sigma)))),
% 0.68/0.68 inference(quant_inst,[status(thm)],[])).
% 0.68/0.68 tff(89,plain,
% 0.68/0.68 (smaller_or_equal(age(X!6, T1!4), sigma) <=> ((age(X!6, T1!4) = sigma) | smaller(age(X!6, T1!4), sigma))),
% 0.68/0.68 inference(unit_resolution,[status(thm)],[88, 87])).
% 0.68/0.68 tff(90,plain,
% 0.68/0.68 (smaller_or_equal(age(X!6, T1!4), sigma)),
% 0.68/0.68 inference(and_elim,[status(thm)],[27])).
% 0.68/0.68 tff(91,plain,
% 0.68/0.68 ((~(smaller_or_equal(age(X!6, T1!4), sigma) <=> ((age(X!6, T1!4) = sigma) | smaller(age(X!6, T1!4), sigma)))) | (~smaller_or_equal(age(X!6, T1!4), sigma)) | ((age(X!6, T1!4) = sigma) | smaller(age(X!6, T1!4), sigma))),
% 0.68/0.69 inference(tautology,[status(thm)],[])).
% 0.68/0.69 tff(92,plain,
% 0.68/0.69 ((~(smaller_or_equal(age(X!6, T1!4), sigma) <=> ((age(X!6, T1!4) = sigma) | smaller(age(X!6, T1!4), sigma)))) | ((age(X!6, T1!4) = sigma) | smaller(age(X!6, T1!4), sigma))),
% 0.68/0.69 inference(unit_resolution,[status(thm)],[91, 90])).
% 0.68/0.69 tff(93,plain,
% 0.68/0.69 ((age(X!6, T1!4) = sigma) | smaller(age(X!6, T1!4), sigma)),
% 0.68/0.69 inference(unit_resolution,[status(thm)],[92, 89])).
% 0.68/0.69 tff(94,plain,
% 0.68/0.69 ((~((age(X!6, T1!4) = sigma) | smaller(age(X!6, T1!4), sigma))) | (age(X!6, T1!4) = sigma) | smaller(age(X!6, T1!4), sigma)),
% 0.68/0.69 inference(tautology,[status(thm)],[])).
% 0.68/0.69 tff(95,plain,
% 0.68/0.69 ((age(X!6, T1!4) = sigma) | smaller(age(X!6, T1!4), sigma)),
% 0.68/0.69 inference(unit_resolution,[status(thm)],[94, 93])).
% 0.68/0.69 tff(96,plain,
% 0.68/0.69 (age(X!6, T1!4) = sigma),
% 0.68/0.69 inference(unit_resolution,[status(thm)],[95, 77])).
% 0.68/0.69 tff(97,plain,
% 0.68/0.69 (sigma = age(X!6, T1!4)),
% 0.68/0.69 inference(symmetry,[status(thm)],[96])).
% 0.68/0.69 tff(98,plain,
% 0.68/0.69 (greater(sigma, age(X!6, T1!4)) <=> greater(age(X!6, T1!4), sigma)),
% 0.68/0.69 inference(monotonicity,[status(thm)],[97, 96])).
% 0.68/0.69 tff(99,plain,
% 0.68/0.69 (greater(age(X!6, T1!4), sigma) <=> greater(sigma, age(X!6, T1!4))),
% 0.68/0.69 inference(symmetry,[status(thm)],[98])).
% 0.68/0.69 tff(100,plain,
% 0.68/0.69 (greater(sigma, age(X!6, T1!4))),
% 0.68/0.69 inference(modus_ponens,[status(thm)],[59, 99])).
% 0.68/0.69 tff(101,plain,
% 0.68/0.69 ($false),
% 0.68/0.69 inference(unit_resolution,[status(thm)],[74, 100])).
% 0.68/0.69 tff(102,plain,(~greater(age(X!6, T1!4), sigma)), inference(lemma,lemma(discharge,[]))).
% 0.68/0.69 tff(103,plain,
% 0.68/0.69 ((~(greater(age(X!6, T1!4), sigma) <=> dissimilar(X!6, T0!5, T1!4))) | greater(age(X!6, T1!4), sigma) | (~dissimilar(X!6, T0!5, T1!4))),
% 0.68/0.69 inference(tautology,[status(thm)],[])).
% 0.68/0.69 tff(104,plain,
% 0.68/0.69 (~dissimilar(X!6, T0!5, T1!4)),
% 0.68/0.69 inference(unit_resolution,[status(thm)],[103, 102, 49])).
% 0.68/0.69 tff(105,plain,
% 0.68/0.69 ((~(dissimilar(X!6, T0!5, T1!4) <=> (~((~organization(X!6)) | (is_aligned(X!6, T0!5) <=> is_aligned(X!6, T1!4)))))) | dissimilar(X!6, T0!5, T1!4) | ((~organization(X!6)) | (is_aligned(X!6, T0!5) <=> is_aligned(X!6, T1!4)))),
% 0.68/0.69 inference(tautology,[status(thm)],[])).
% 0.68/0.69 tff(106,plain,
% 0.68/0.69 ((~organization(X!6)) | (is_aligned(X!6, T0!5) <=> is_aligned(X!6, T1!4))),
% 0.68/0.69 inference(unit_resolution,[status(thm)],[105, 104, 15])).
% 0.68/0.69 tff(107,plain,
% 0.68/0.69 ((~((~organization(X!6)) | (is_aligned(X!6, T0!5) <=> is_aligned(X!6, T1!4)))) | (~organization(X!6)) | (is_aligned(X!6, T0!5) <=> is_aligned(X!6, T1!4))),
% 0.68/0.69 inference(tautology,[status(thm)],[])).
% 0.68/0.69 tff(108,plain,
% 0.68/0.69 ((~((~organization(X!6)) | (is_aligned(X!6, T0!5) <=> is_aligned(X!6, T1!4)))) | (is_aligned(X!6, T0!5) <=> is_aligned(X!6, T1!4))),
% 0.68/0.69 inference(unit_resolution,[status(thm)],[107, 29])).
% 0.68/0.69 tff(109,plain,
% 0.68/0.69 (is_aligned(X!6, T0!5) <=> is_aligned(X!6, T1!4)),
% 0.68/0.69 inference(unit_resolution,[status(thm)],[108, 106])).
% 0.68/0.69 tff(110,plain,
% 0.68/0.69 (^[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))))),
% 0.68/0.69 inference(bind,[status(th)],[])).
% 0.68/0.69 tff(111,plain,
% 0.68/0.69 (![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)))),
% 0.68/0.69 inference(quant_intro,[status(thm)],[110])).
% 0.68/0.69 tff(112,plain,
% 0.68/0.69 (^[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)))))),
% 0.68/0.69 inference(bind,[status(th)],[])).
% 0.68/0.69 tff(113,plain,
% 0.68/0.69 (![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)))),
% 0.68/0.69 inference(quant_intro,[status(thm)],[112])).
% 0.68/0.69 tff(114,plain,
% 0.68/0.69 (![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))),
% 0.68/0.69 inference(rewrite,[status(thm)],[])).
% 0.68/0.69 tff(115,plain,
% 0.68/0.69 (^[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)))),
% 0.68/0.69 inference(bind,[status(th)],[])).
% 0.68/0.69 tff(116,plain,
% 0.68/0.69 (![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))),
% 0.68/0.69 inference(quant_intro,[status(thm)],[115])).
% 0.68/0.69 tff(117,axiom,(![X: $i, T: $i] : ((organization(X) & (age(X, T) = zero)) => is_aligned(X, T))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','assumption_13')).
% 0.68/0.69 tff(118,plain,
% 0.68/0.69 (![X: $i, T: $i] : ((~(organization(X) & (age(X, T) = zero))) | is_aligned(X, T))),
% 0.68/0.69 inference(modus_ponens,[status(thm)],[117, 116])).
% 0.68/0.69 tff(119,plain,
% 0.68/0.69 (![X: $i, T: $i] : ((~(organization(X) & (age(X, T) = zero))) | is_aligned(X, T))),
% 0.68/0.69 inference(modus_ponens,[status(thm)],[118, 114])).
% 0.68/0.69 tff(120,plain,(
% 0.68/0.69 ![X: $i, T: $i] : ((~(organization(X) & (age(X, T) = zero))) | is_aligned(X, T))),
% 0.68/0.69 inference(skolemize,[status(sab)],[119])).
% 0.68/0.69 tff(121,plain,
% 0.68/0.69 (![X: $i, T: $i] : (is_aligned(X, T) | (~organization(X)) | (~(age(X, T) = zero)))),
% 0.68/0.69 inference(modus_ponens,[status(thm)],[120, 113])).
% 0.68/0.69 tff(122,plain,
% 0.68/0.69 (![X: $i, T: $i] : (is_aligned(X, T) | (~organization(X)) | (~(age(X, T) = zero)))),
% 0.68/0.69 inference(modus_ponens,[status(thm)],[121, 111])).
% 0.68/0.69 tff(123,plain,
% 0.68/0.69 (((~![X: $i, T: $i] : (is_aligned(X, T) | (~organization(X)) | (~(age(X, T) = zero)))) | ((~organization(X!6)) | is_aligned(X!6, T0!5) | (~(age(X!6, T0!5) = zero)))) <=> ((~![X: $i, T: $i] : (is_aligned(X, T) | (~organization(X)) | (~(age(X, T) = zero)))) | (~organization(X!6)) | is_aligned(X!6, T0!5) | (~(age(X!6, T0!5) = zero)))),
% 0.68/0.69 inference(rewrite,[status(thm)],[])).
% 0.68/0.69 tff(124,plain,
% 0.68/0.69 ((is_aligned(X!6, T0!5) | (~organization(X!6)) | (~(age(X!6, T0!5) = zero))) <=> ((~organization(X!6)) | is_aligned(X!6, T0!5) | (~(age(X!6, T0!5) = zero)))),
% 0.68/0.69 inference(rewrite,[status(thm)],[])).
% 0.68/0.69 tff(125,plain,
% 0.68/0.69 (((~![X: $i, T: $i] : (is_aligned(X, T) | (~organization(X)) | (~(age(X, T) = zero)))) | (is_aligned(X!6, T0!5) | (~organization(X!6)) | (~(age(X!6, T0!5) = zero)))) <=> ((~![X: $i, T: $i] : (is_aligned(X, T) | (~organization(X)) | (~(age(X, T) = zero)))) | ((~organization(X!6)) | is_aligned(X!6, T0!5) | (~(age(X!6, T0!5) = zero))))),
% 0.68/0.69 inference(monotonicity,[status(thm)],[124])).
% 0.68/0.69 tff(126,plain,
% 0.68/0.69 (((~![X: $i, T: $i] : (is_aligned(X, T) | (~organization(X)) | (~(age(X, T) = zero)))) | (is_aligned(X!6, T0!5) | (~organization(X!6)) | (~(age(X!6, T0!5) = zero)))) <=> ((~![X: $i, T: $i] : (is_aligned(X, T) | (~organization(X)) | (~(age(X, T) = zero)))) | (~organization(X!6)) | is_aligned(X!6, T0!5) | (~(age(X!6, T0!5) = zero)))),
% 0.68/0.69 inference(transitivity,[status(thm)],[125, 123])).
% 0.68/0.69 tff(127,plain,
% 0.68/0.69 ((~![X: $i, T: $i] : (is_aligned(X, T) | (~organization(X)) | (~(age(X, T) = zero)))) | (is_aligned(X!6, T0!5) | (~organization(X!6)) | (~(age(X!6, T0!5) = zero)))),
% 0.68/0.69 inference(quant_inst,[status(thm)],[])).
% 0.68/0.69 tff(128,plain,
% 0.68/0.69 ((~![X: $i, T: $i] : (is_aligned(X, T) | (~organization(X)) | (~(age(X, T) = zero)))) | (~organization(X!6)) | is_aligned(X!6, T0!5) | (~(age(X!6, T0!5) = zero))),
% 0.68/0.69 inference(modus_ponens,[status(thm)],[127, 126])).
% 0.68/0.69 tff(129,plain,
% 0.68/0.69 (is_aligned(X!6, T0!5)),
% 0.68/0.69 inference(unit_resolution,[status(thm)],[128, 122, 29, 28])).
% 0.68/0.69 tff(130,plain,
% 0.68/0.69 ((~(is_aligned(X!6, T0!5) <=> is_aligned(X!6, T1!4))) | (~is_aligned(X!6, T0!5)) | is_aligned(X!6, T1!4)),
% 0.68/0.69 inference(tautology,[status(thm)],[])).
% 0.68/0.69 tff(131,plain,
% 0.68/0.69 ((~(is_aligned(X!6, T0!5) <=> is_aligned(X!6, T1!4))) | is_aligned(X!6, T1!4)),
% 0.68/0.69 inference(unit_resolution,[status(thm)],[130, 129])).
% 0.68/0.69 tff(132,plain,
% 0.68/0.69 (is_aligned(X!6, T1!4)),
% 0.68/0.69 inference(unit_resolution,[status(thm)],[131, 109])).
% 0.68/0.69 tff(133,plain,
% 0.68/0.69 ((~![X: $i, T0: $i, T: $i] : (dissimilar(X, T0, T) <=> (~((~organization(X)) | (is_aligned(X, T0) <=> is_aligned(X, T)))))) | (dissimilar(X!6, T0!5, T2!3) <=> (~((~organization(X!6)) | (is_aligned(X!6, T0!5) <=> is_aligned(X!6, T2!3)))))),
% 0.68/0.69 inference(quant_inst,[status(thm)],[])).
% 0.68/0.69 tff(134,plain,
% 0.68/0.69 (dissimilar(X!6, T0!5, T2!3) <=> (~((~organization(X!6)) | (is_aligned(X!6, T0!5) <=> is_aligned(X!6, T2!3))))),
% 0.68/0.69 inference(unit_resolution,[status(thm)],[133, 13])).
% 0.68/0.69 tff(135,plain,
% 0.68/0.69 (((~![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))) | ((~organization(X!6)) | (~(age(X!6, T0!5) = zero)) | (greater(age(X!6, T2!3), sigma) <=> dissimilar(X!6, T0!5, T2!3)))) <=> ((~![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))) | (~organization(X!6)) | (~(age(X!6, T0!5) = zero)) | (greater(age(X!6, T2!3), sigma) <=> dissimilar(X!6, T0!5, T2!3)))),
% 0.68/0.69 inference(rewrite,[status(thm)],[])).
% 0.68/0.69 tff(136,plain,
% 0.68/0.69 (((greater(age(X!6, T2!3), sigma) <=> dissimilar(X!6, T0!5, T2!3)) | (~organization(X!6)) | (~(age(X!6, T0!5) = zero))) <=> ((~organization(X!6)) | (~(age(X!6, T0!5) = zero)) | (greater(age(X!6, T2!3), sigma) <=> dissimilar(X!6, T0!5, T2!3)))),
% 0.68/0.69 inference(rewrite,[status(thm)],[])).
% 0.68/0.69 tff(137,plain,
% 0.68/0.69 (((~![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))) | ((greater(age(X!6, T2!3), sigma) <=> dissimilar(X!6, T0!5, T2!3)) | (~organization(X!6)) | (~(age(X!6, T0!5) = zero)))) <=> ((~![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))) | ((~organization(X!6)) | (~(age(X!6, T0!5) = zero)) | (greater(age(X!6, T2!3), sigma) <=> dissimilar(X!6, T0!5, T2!3))))),
% 0.68/0.69 inference(monotonicity,[status(thm)],[136])).
% 0.68/0.69 tff(138,plain,
% 0.68/0.69 (((~![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))) | ((greater(age(X!6, T2!3), sigma) <=> dissimilar(X!6, T0!5, T2!3)) | (~organization(X!6)) | (~(age(X!6, T0!5) = zero)))) <=> ((~![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))) | (~organization(X!6)) | (~(age(X!6, T0!5) = zero)) | (greater(age(X!6, T2!3), sigma) <=> dissimilar(X!6, T0!5, T2!3)))),
% 0.68/0.69 inference(transitivity,[status(thm)],[137, 135])).
% 0.68/0.69 tff(139,plain,
% 0.68/0.69 ((~![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))) | ((greater(age(X!6, T2!3), sigma) <=> dissimilar(X!6, T0!5, T2!3)) | (~organization(X!6)) | (~(age(X!6, T0!5) = zero)))),
% 0.68/0.69 inference(quant_inst,[status(thm)],[])).
% 0.68/0.69 tff(140,plain,
% 0.68/0.69 ((~![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))) | (~organization(X!6)) | (~(age(X!6, T0!5) = zero)) | (greater(age(X!6, T2!3), sigma) <=> dissimilar(X!6, T0!5, T2!3))),
% 0.68/0.69 inference(modus_ponens,[status(thm)],[139, 138])).
% 0.68/0.69 tff(141,plain,
% 0.68/0.69 (greater(age(X!6, T2!3), sigma) <=> dissimilar(X!6, T0!5, T2!3)),
% 0.68/0.69 inference(unit_resolution,[status(thm)],[140, 42, 29, 28])).
% 0.68/0.69 tff(142,plain,
% 0.68/0.69 (greater(age(X!6, T2!3), sigma)),
% 0.68/0.69 inference(and_elim,[status(thm)],[27])).
% 0.68/0.69 tff(143,plain,
% 0.68/0.69 ((~(greater(age(X!6, T2!3), sigma) <=> dissimilar(X!6, T0!5, T2!3))) | (~greater(age(X!6, T2!3), sigma)) | dissimilar(X!6, T0!5, T2!3)),
% 0.68/0.69 inference(tautology,[status(thm)],[])).
% 0.68/0.69 tff(144,plain,
% 0.68/0.69 ((~(greater(age(X!6, T2!3), sigma) <=> dissimilar(X!6, T0!5, T2!3))) | dissimilar(X!6, T0!5, T2!3)),
% 0.68/0.69 inference(unit_resolution,[status(thm)],[143, 142])).
% 0.68/0.69 tff(145,plain,
% 0.68/0.69 (dissimilar(X!6, T0!5, T2!3)),
% 0.68/0.69 inference(unit_resolution,[status(thm)],[144, 141])).
% 0.68/0.69 tff(146,plain,
% 0.68/0.69 ((~(dissimilar(X!6, T0!5, T2!3) <=> (~((~organization(X!6)) | (is_aligned(X!6, T0!5) <=> is_aligned(X!6, T2!3)))))) | (~dissimilar(X!6, T0!5, T2!3)) | (~((~organization(X!6)) | (is_aligned(X!6, T0!5) <=> is_aligned(X!6, T2!3))))),
% 0.68/0.69 inference(tautology,[status(thm)],[])).
% 0.68/0.69 tff(147,plain,
% 0.68/0.69 ((~(dissimilar(X!6, T0!5, T2!3) <=> (~((~organization(X!6)) | (is_aligned(X!6, T0!5) <=> is_aligned(X!6, T2!3)))))) | (~((~organization(X!6)) | (is_aligned(X!6, T0!5) <=> is_aligned(X!6, T2!3))))),
% 0.68/0.69 inference(unit_resolution,[status(thm)],[146, 145])).
% 0.68/0.69 tff(148,plain,
% 0.68/0.69 (~((~organization(X!6)) | (is_aligned(X!6, T0!5) <=> is_aligned(X!6, T2!3)))),
% 0.68/0.69 inference(unit_resolution,[status(thm)],[147, 134])).
% 0.68/0.69 tff(149,plain,
% 0.68/0.69 (((~organization(X!6)) | (is_aligned(X!6, T0!5) <=> is_aligned(X!6, T2!3))) | (~(is_aligned(X!6, T0!5) <=> is_aligned(X!6, T2!3)))),
% 0.68/0.69 inference(tautology,[status(thm)],[])).
% 0.68/0.69 tff(150,plain,
% 0.68/0.69 (~(is_aligned(X!6, T0!5) <=> is_aligned(X!6, T2!3))),
% 0.68/0.69 inference(unit_resolution,[status(thm)],[149, 148])).
% 0.68/0.69 tff(151,plain,
% 0.68/0.69 ((is_aligned(X!6, T0!5) <=> is_aligned(X!6, T2!3)) | (~is_aligned(X!6, T0!5)) | (~is_aligned(X!6, T2!3))),
% 0.68/0.69 inference(tautology,[status(thm)],[])).
% 0.68/0.69 tff(152,plain,
% 0.68/0.69 ((is_aligned(X!6, T0!5) <=> is_aligned(X!6, T2!3)) | (~is_aligned(X!6, T2!3))),
% 0.68/0.69 inference(unit_resolution,[status(thm)],[151, 129])).
% 0.68/0.69 tff(153,plain,
% 0.68/0.69 (~is_aligned(X!6, T2!3)),
% 0.68/0.69 inference(unit_resolution,[status(thm)],[152, 150])).
% 0.68/0.69 tff(154,assumption,(has_immunity(X!6, T2!3)), introduced(assumption)).
% 0.68/0.69 tff(155,plain,
% 0.68/0.69 (~has_endowment(X!6)),
% 0.68/0.69 inference(and_elim,[status(thm)],[27])).
% 0.68/0.69 tff(156,plain,
% 0.68/0.69 (^[X: $i, T: $i] : refl(((~has_immunity(X, T)) | has_endowment(X) | (~organization(X))) <=> ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X))))),
% 0.68/0.69 inference(bind,[status(th)],[])).
% 0.68/0.69 tff(157,plain,
% 0.68/0.69 (![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)))),
% 0.68/0.69 inference(quant_intro,[status(thm)],[156])).
% 0.68/0.69 tff(158,plain,
% 0.68/0.69 (^[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)))))),
% 0.68/0.69 inference(bind,[status(th)],[])).
% 0.68/0.69 tff(159,plain,
% 0.68/0.69 (![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)))),
% 0.68/0.69 inference(quant_intro,[status(thm)],[158])).
% 0.68/0.69 tff(160,plain,
% 0.68/0.69 (![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)))))),
% 0.68/0.69 inference(rewrite,[status(thm)],[])).
% 0.68/0.69 tff(161,plain,
% 0.68/0.69 (^[X: $i, T: $i] : rewrite(((organization(X) & (~has_endowment(X))) => (~has_immunity(X, T))) <=> ((~has_immunity(X, T)) | (~(organization(X) & (~has_endowment(X))))))),
% 0.68/0.69 inference(bind,[status(th)],[])).
% 0.68/0.69 tff(162,plain,
% 0.68/0.69 (![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)))))),
% 0.68/0.69 inference(quant_intro,[status(thm)],[161])).
% 0.68/0.69 tff(163,axiom,(![X: $i, T: $i] : ((organization(X) & (~has_endowment(X))) => (~has_immunity(X, T)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','assumption_1')).
% 0.68/0.69 tff(164,plain,
% 0.68/0.69 (![X: $i, T: $i] : ((~has_immunity(X, T)) | (~(organization(X) & (~has_endowment(X)))))),
% 0.68/0.69 inference(modus_ponens,[status(thm)],[163, 162])).
% 0.68/0.69 tff(165,plain,
% 0.68/0.69 (![X: $i, T: $i] : ((~has_immunity(X, T)) | (~(organization(X) & (~has_endowment(X)))))),
% 0.68/0.69 inference(modus_ponens,[status(thm)],[164, 160])).
% 0.68/0.69 tff(166,plain,(
% 0.68/0.69 ![X: $i, T: $i] : ((~has_immunity(X, T)) | (~(organization(X) & (~has_endowment(X)))))),
% 0.68/0.69 inference(skolemize,[status(sab)],[165])).
% 0.68/0.69 tff(167,plain,
% 0.68/0.69 (![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))),
% 0.68/0.69 inference(modus_ponens,[status(thm)],[166, 159])).
% 0.68/0.69 tff(168,plain,
% 0.74/0.69 (![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))),
% 0.74/0.69 inference(modus_ponens,[status(thm)],[167, 157])).
% 0.74/0.69 tff(169,plain,
% 0.74/0.69 (((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | (has_endowment(X!6) | (~organization(X!6)) | (~has_immunity(X!6, T2!3)))) <=> ((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | has_endowment(X!6) | (~organization(X!6)) | (~has_immunity(X!6, T2!3)))),
% 0.74/0.69 inference(rewrite,[status(thm)],[])).
% 0.74/0.69 tff(170,plain,
% 0.74/0.69 (((~has_immunity(X!6, T2!3)) | has_endowment(X!6) | (~organization(X!6))) <=> (has_endowment(X!6) | (~organization(X!6)) | (~has_immunity(X!6, T2!3)))),
% 0.74/0.69 inference(rewrite,[status(thm)],[])).
% 0.74/0.69 tff(171,plain,
% 0.74/0.69 (((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | ((~has_immunity(X!6, T2!3)) | has_endowment(X!6) | (~organization(X!6)))) <=> ((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | (has_endowment(X!6) | (~organization(X!6)) | (~has_immunity(X!6, T2!3))))),
% 0.74/0.69 inference(monotonicity,[status(thm)],[170])).
% 0.74/0.69 tff(172,plain,
% 0.74/0.69 (((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | ((~has_immunity(X!6, T2!3)) | has_endowment(X!6) | (~organization(X!6)))) <=> ((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | has_endowment(X!6) | (~organization(X!6)) | (~has_immunity(X!6, T2!3)))),
% 0.74/0.69 inference(transitivity,[status(thm)],[171, 169])).
% 0.74/0.69 tff(173,plain,
% 0.74/0.69 ((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | ((~has_immunity(X!6, T2!3)) | has_endowment(X!6) | (~organization(X!6)))),
% 0.74/0.69 inference(quant_inst,[status(thm)],[])).
% 0.74/0.69 tff(174,plain,
% 0.74/0.69 ((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | has_endowment(X!6) | (~organization(X!6)) | (~has_immunity(X!6, T2!3))),
% 0.74/0.69 inference(modus_ponens,[status(thm)],[173, 172])).
% 0.74/0.69 tff(175,plain,
% 0.74/0.69 ($false),
% 0.74/0.69 inference(unit_resolution,[status(thm)],[174, 168, 29, 155, 154])).
% 0.74/0.69 tff(176,plain,(~has_immunity(X!6, T2!3)), inference(lemma,lemma(discharge,[]))).
% 0.74/0.69 tff(177,plain,
% 0.74/0.69 (^[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)))))))))))),
% 0.74/0.69 inference(bind,[status(th)],[])).
% 0.74/0.69 tff(178,plain,
% 0.74/0.69 (![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))))))))))),
% 0.74/0.69 inference(quant_intro,[status(thm)],[177])).
% 0.74/0.69 tff(179,plain,
% 0.74/0.69 (^[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)))))))))))),
% 0.74/0.69 inference(bind,[status(th)],[])).
% 0.74/0.69 tff(180,plain,
% 0.74/0.69 (![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))))))))))),
% 0.74/0.69 inference(quant_intro,[status(thm)],[179])).
% 0.74/0.69 tff(181,plain,
% 0.74/0.69 (![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))))))),
% 0.74/0.69 inference(rewrite,[status(thm)],[])).
% 0.74/0.69 tff(182,plain,
% 0.74/0.69 (^[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))))))))),
% 0.74/0.69 inference(bind,[status(th)],[])).
% 0.74/0.69 tff(183,plain,
% 0.74/0.69 (![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))))))),
% 0.74/0.70 inference(quant_intro,[status(thm)],[182])).
% 0.74/0.70 tff(184,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')).
% 0.74/0.70 tff(185,plain,
% 0.74/0.70 (![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))))))),
% 0.74/0.70 inference(modus_ponens,[status(thm)],[184, 183])).
% 0.74/0.70 tff(186,plain,
% 0.74/0.70 (![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))))))),
% 0.74/0.70 inference(modus_ponens,[status(thm)],[185, 181])).
% 0.74/0.70 tff(187,plain,(
% 0.74/0.70 ![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))))))),
% 0.74/0.70 inference(skolemize,[status(sab)],[186])).
% 0.74/0.70 tff(188,plain,
% 0.74/0.70 (![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))))))))))),
% 0.74/0.70 inference(modus_ponens,[status(thm)],[187, 180])).
% 0.74/0.70 tff(189,plain,
% 0.74/0.70 (![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))))))))))),
% 0.74/0.70 inference(modus_ponens,[status(thm)],[188, 178])).
% 0.74/0.70 tff(190,plain,
% 0.74/0.70 (((~![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!6)) | (~((~((~has_immunity(X!6, T2!3)) | (hazard_of_mortality(X!6, T2!3) = very_low))) | (~(has_immunity(X!6, T2!3) | (~((~((~positional_advantage(X!6, T2!3)) | (~is_aligned(X!6, T2!3)) | (hazard_of_mortality(X!6, T2!3) = low))) | (~((~positional_advantage(X!6, T2!3)) | is_aligned(X!6, T2!3) | (hazard_of_mortality(X!6, T2!3) = mod1))) | (~(positional_advantage(X!6, T2!3) | (~is_aligned(X!6, T2!3)) | (hazard_of_mortality(X!6, T2!3) = mod2))) | (~(is_aligned(X!6, T2!3) | positional_advantage(X!6, T2!3) | (hazard_of_mortality(X!6, T2!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!6)) | (~((~((~has_immunity(X!6, T2!3)) | (hazard_of_mortality(X!6, T2!3) = very_low))) | (~(has_immunity(X!6, T2!3) | (~((~((~positional_advantage(X!6, T2!3)) | (~is_aligned(X!6, T2!3)) | (hazard_of_mortality(X!6, T2!3) = low))) | (~((~positional_advantage(X!6, T2!3)) | is_aligned(X!6, T2!3) | (hazard_of_mortality(X!6, T2!3) = mod1))) | (~(positional_advantage(X!6, T2!3) | (~is_aligned(X!6, T2!3)) | (hazard_of_mortality(X!6, T2!3) = mod2))) | (~(is_aligned(X!6, T2!3) | positional_advantage(X!6, T2!3) | (hazard_of_mortality(X!6, T2!3) = high))))))))))),
% 0.74/0.70 inference(rewrite,[status(thm)],[])).
% 0.74/0.70 tff(191,plain,
% 0.74/0.70 (((~organization(X!6)) | (~((~((~has_immunity(X!6, T2!3)) | (hazard_of_mortality(X!6, T2!3) = very_low))) | (~(has_immunity(X!6, T2!3) | (~((~((~positional_advantage(X!6, T2!3)) | (~is_aligned(X!6, T2!3)) | (hazard_of_mortality(X!6, T2!3) = low))) | (~((~positional_advantage(X!6, T2!3)) | is_aligned(X!6, T2!3) | (hazard_of_mortality(X!6, T2!3) = mod1))) | (~(positional_advantage(X!6, T2!3) | (~is_aligned(X!6, T2!3)) | (hazard_of_mortality(X!6, T2!3) = mod2))) | (~(positional_advantage(X!6, T2!3) | is_aligned(X!6, T2!3) | (hazard_of_mortality(X!6, T2!3) = high)))))))))) <=> ((~organization(X!6)) | (~((~((~has_immunity(X!6, T2!3)) | (hazard_of_mortality(X!6, T2!3) = very_low))) | (~(has_immunity(X!6, T2!3) | (~((~((~positional_advantage(X!6, T2!3)) | (~is_aligned(X!6, T2!3)) | (hazard_of_mortality(X!6, T2!3) = low))) | (~((~positional_advantage(X!6, T2!3)) | is_aligned(X!6, T2!3) | (hazard_of_mortality(X!6, T2!3) = mod1))) | (~(positional_advantage(X!6, T2!3) | (~is_aligned(X!6, T2!3)) | (hazard_of_mortality(X!6, T2!3) = mod2))) | (~(is_aligned(X!6, T2!3) | positional_advantage(X!6, T2!3) | (hazard_of_mortality(X!6, T2!3) = high))))))))))),
% 0.74/0.70 inference(rewrite,[status(thm)],[])).
% 0.74/0.70 tff(192,plain,
% 0.74/0.70 (((~![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!6)) | (~((~((~has_immunity(X!6, T2!3)) | (hazard_of_mortality(X!6, T2!3) = very_low))) | (~(has_immunity(X!6, T2!3) | (~((~((~positional_advantage(X!6, T2!3)) | (~is_aligned(X!6, T2!3)) | (hazard_of_mortality(X!6, T2!3) = low))) | (~((~positional_advantage(X!6, T2!3)) | is_aligned(X!6, T2!3) | (hazard_of_mortality(X!6, T2!3) = mod1))) | (~(positional_advantage(X!6, T2!3) | (~is_aligned(X!6, T2!3)) | (hazard_of_mortality(X!6, T2!3) = mod2))) | (~(positional_advantage(X!6, T2!3) | is_aligned(X!6, T2!3) | (hazard_of_mortality(X!6, T2!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!6)) | (~((~((~has_immunity(X!6, T2!3)) | (hazard_of_mortality(X!6, T2!3) = very_low))) | (~(has_immunity(X!6, T2!3) | (~((~((~positional_advantage(X!6, T2!3)) | (~is_aligned(X!6, T2!3)) | (hazard_of_mortality(X!6, T2!3) = low))) | (~((~positional_advantage(X!6, T2!3)) | is_aligned(X!6, T2!3) | (hazard_of_mortality(X!6, T2!3) = mod1))) | (~(positional_advantage(X!6, T2!3) | (~is_aligned(X!6, T2!3)) | (hazard_of_mortality(X!6, T2!3) = mod2))) | (~(is_aligned(X!6, T2!3) | positional_advantage(X!6, T2!3) | (hazard_of_mortality(X!6, T2!3) = high)))))))))))),
% 0.74/0.70 inference(monotonicity,[status(thm)],[191])).
% 0.74/0.70 tff(193,plain,
% 0.74/0.70 (((~![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!6)) | (~((~((~has_immunity(X!6, T2!3)) | (hazard_of_mortality(X!6, T2!3) = very_low))) | (~(has_immunity(X!6, T2!3) | (~((~((~positional_advantage(X!6, T2!3)) | (~is_aligned(X!6, T2!3)) | (hazard_of_mortality(X!6, T2!3) = low))) | (~((~positional_advantage(X!6, T2!3)) | is_aligned(X!6, T2!3) | (hazard_of_mortality(X!6, T2!3) = mod1))) | (~(positional_advantage(X!6, T2!3) | (~is_aligned(X!6, T2!3)) | (hazard_of_mortality(X!6, T2!3) = mod2))) | (~(positional_advantage(X!6, T2!3) | is_aligned(X!6, T2!3) | (hazard_of_mortality(X!6, T2!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!6)) | (~((~((~has_immunity(X!6, T2!3)) | (hazard_of_mortality(X!6, T2!3) = very_low))) | (~(has_immunity(X!6, T2!3) | (~((~((~positional_advantage(X!6, T2!3)) | (~is_aligned(X!6, T2!3)) | (hazard_of_mortality(X!6, T2!3) = low))) | (~((~positional_advantage(X!6, T2!3)) | is_aligned(X!6, T2!3) | (hazard_of_mortality(X!6, T2!3) = mod1))) | (~(positional_advantage(X!6, T2!3) | (~is_aligned(X!6, T2!3)) | (hazard_of_mortality(X!6, T2!3) = mod2))) | (~(is_aligned(X!6, T2!3) | positional_advantage(X!6, T2!3) | (hazard_of_mortality(X!6, T2!3) = high))))))))))),
% 0.74/0.70 inference(transitivity,[status(thm)],[192, 190])).
% 0.74/0.70 tff(194,plain,
% 0.74/0.70 ((~![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!6)) | (~((~((~has_immunity(X!6, T2!3)) | (hazard_of_mortality(X!6, T2!3) = very_low))) | (~(has_immunity(X!6, T2!3) | (~((~((~positional_advantage(X!6, T2!3)) | (~is_aligned(X!6, T2!3)) | (hazard_of_mortality(X!6, T2!3) = low))) | (~((~positional_advantage(X!6, T2!3)) | is_aligned(X!6, T2!3) | (hazard_of_mortality(X!6, T2!3) = mod1))) | (~(positional_advantage(X!6, T2!3) | (~is_aligned(X!6, T2!3)) | (hazard_of_mortality(X!6, T2!3) = mod2))) | (~(positional_advantage(X!6, T2!3) | is_aligned(X!6, T2!3) | (hazard_of_mortality(X!6, T2!3) = high))))))))))),
% 0.74/0.70 inference(quant_inst,[status(thm)],[])).
% 0.74/0.70 tff(195,plain,
% 0.74/0.70 ((~![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!6)) | (~((~((~has_immunity(X!6, T2!3)) | (hazard_of_mortality(X!6, T2!3) = very_low))) | (~(has_immunity(X!6, T2!3) | (~((~((~positional_advantage(X!6, T2!3)) | (~is_aligned(X!6, T2!3)) | (hazard_of_mortality(X!6, T2!3) = low))) | (~((~positional_advantage(X!6, T2!3)) | is_aligned(X!6, T2!3) | (hazard_of_mortality(X!6, T2!3) = mod1))) | (~(positional_advantage(X!6, T2!3) | (~is_aligned(X!6, T2!3)) | (hazard_of_mortality(X!6, T2!3) = mod2))) | (~(is_aligned(X!6, T2!3) | positional_advantage(X!6, T2!3) | (hazard_of_mortality(X!6, T2!3) = high)))))))))),
% 0.74/0.70 inference(modus_ponens,[status(thm)],[194, 193])).
% 0.74/0.70 tff(196,plain,
% 0.74/0.70 (~((~((~has_immunity(X!6, T2!3)) | (hazard_of_mortality(X!6, T2!3) = very_low))) | (~(has_immunity(X!6, T2!3) | (~((~((~positional_advantage(X!6, T2!3)) | (~is_aligned(X!6, T2!3)) | (hazard_of_mortality(X!6, T2!3) = low))) | (~((~positional_advantage(X!6, T2!3)) | is_aligned(X!6, T2!3) | (hazard_of_mortality(X!6, T2!3) = mod1))) | (~(positional_advantage(X!6, T2!3) | (~is_aligned(X!6, T2!3)) | (hazard_of_mortality(X!6, T2!3) = mod2))) | (~(is_aligned(X!6, T2!3) | positional_advantage(X!6, T2!3) | (hazard_of_mortality(X!6, T2!3) = high))))))))),
% 0.74/0.70 inference(unit_resolution,[status(thm)],[195, 189, 29])).
% 0.74/0.70 tff(197,plain,
% 0.74/0.70 (((~((~has_immunity(X!6, T2!3)) | (hazard_of_mortality(X!6, T2!3) = very_low))) | (~(has_immunity(X!6, T2!3) | (~((~((~positional_advantage(X!6, T2!3)) | (~is_aligned(X!6, T2!3)) | (hazard_of_mortality(X!6, T2!3) = low))) | (~((~positional_advantage(X!6, T2!3)) | is_aligned(X!6, T2!3) | (hazard_of_mortality(X!6, T2!3) = mod1))) | (~(positional_advantage(X!6, T2!3) | (~is_aligned(X!6, T2!3)) | (hazard_of_mortality(X!6, T2!3) = mod2))) | (~(is_aligned(X!6, T2!3) | positional_advantage(X!6, T2!3) | (hazard_of_mortality(X!6, T2!3) = high)))))))) | (has_immunity(X!6, T2!3) | (~((~((~positional_advantage(X!6, T2!3)) | (~is_aligned(X!6, T2!3)) | (hazard_of_mortality(X!6, T2!3) = low))) | (~((~positional_advantage(X!6, T2!3)) | is_aligned(X!6, T2!3) | (hazard_of_mortality(X!6, T2!3) = mod1))) | (~(positional_advantage(X!6, T2!3) | (~is_aligned(X!6, T2!3)) | (hazard_of_mortality(X!6, T2!3) = mod2))) | (~(is_aligned(X!6, T2!3) | positional_advantage(X!6, T2!3) | (hazard_of_mortality(X!6, T2!3) = high))))))),
% 0.74/0.70 inference(tautology,[status(thm)],[])).
% 0.74/0.70 tff(198,plain,
% 0.74/0.70 (has_immunity(X!6, T2!3) | (~((~((~positional_advantage(X!6, T2!3)) | (~is_aligned(X!6, T2!3)) | (hazard_of_mortality(X!6, T2!3) = low))) | (~((~positional_advantage(X!6, T2!3)) | is_aligned(X!6, T2!3) | (hazard_of_mortality(X!6, T2!3) = mod1))) | (~(positional_advantage(X!6, T2!3) | (~is_aligned(X!6, T2!3)) | (hazard_of_mortality(X!6, T2!3) = mod2))) | (~(is_aligned(X!6, T2!3) | positional_advantage(X!6, T2!3) | (hazard_of_mortality(X!6, T2!3) = high)))))),
% 0.74/0.70 inference(unit_resolution,[status(thm)],[197, 196])).
% 0.74/0.70 tff(199,plain,
% 0.74/0.70 ((~(has_immunity(X!6, T2!3) | (~((~((~positional_advantage(X!6, T2!3)) | (~is_aligned(X!6, T2!3)) | (hazard_of_mortality(X!6, T2!3) = low))) | (~((~positional_advantage(X!6, T2!3)) | is_aligned(X!6, T2!3) | (hazard_of_mortality(X!6, T2!3) = mod1))) | (~(positional_advantage(X!6, T2!3) | (~is_aligned(X!6, T2!3)) | (hazard_of_mortality(X!6, T2!3) = mod2))) | (~(is_aligned(X!6, T2!3) | positional_advantage(X!6, T2!3) | (hazard_of_mortality(X!6, T2!3) = high))))))) | has_immunity(X!6, T2!3) | (~((~((~positional_advantage(X!6, T2!3)) | (~is_aligned(X!6, T2!3)) | (hazard_of_mortality(X!6, T2!3) = low))) | (~((~positional_advantage(X!6, T2!3)) | is_aligned(X!6, T2!3) | (hazard_of_mortality(X!6, T2!3) = mod1))) | (~(positional_advantage(X!6, T2!3) | (~is_aligned(X!6, T2!3)) | (hazard_of_mortality(X!6, T2!3) = mod2))) | (~(is_aligned(X!6, T2!3) | positional_advantage(X!6, T2!3) | (hazard_of_mortality(X!6, T2!3) = high)))))),
% 0.74/0.70 inference(tautology,[status(thm)],[])).
% 0.74/0.70 tff(200,plain,
% 0.74/0.70 (has_immunity(X!6, T2!3) | (~((~((~positional_advantage(X!6, T2!3)) | (~is_aligned(X!6, T2!3)) | (hazard_of_mortality(X!6, T2!3) = low))) | (~((~positional_advantage(X!6, T2!3)) | is_aligned(X!6, T2!3) | (hazard_of_mortality(X!6, T2!3) = mod1))) | (~(positional_advantage(X!6, T2!3) | (~is_aligned(X!6, T2!3)) | (hazard_of_mortality(X!6, T2!3) = mod2))) | (~(is_aligned(X!6, T2!3) | positional_advantage(X!6, T2!3) | (hazard_of_mortality(X!6, T2!3) = high)))))),
% 0.74/0.70 inference(unit_resolution,[status(thm)],[199, 198])).
% 0.74/0.70 tff(201,plain,
% 0.74/0.70 (~((~((~positional_advantage(X!6, T2!3)) | (~is_aligned(X!6, T2!3)) | (hazard_of_mortality(X!6, T2!3) = low))) | (~((~positional_advantage(X!6, T2!3)) | is_aligned(X!6, T2!3) | (hazard_of_mortality(X!6, T2!3) = mod1))) | (~(positional_advantage(X!6, T2!3) | (~is_aligned(X!6, T2!3)) | (hazard_of_mortality(X!6, T2!3) = mod2))) | (~(is_aligned(X!6, T2!3) | positional_advantage(X!6, T2!3) | (hazard_of_mortality(X!6, T2!3) = high))))),
% 0.74/0.70 inference(unit_resolution,[status(thm)],[200, 176])).
% 0.74/0.70 tff(202,plain,
% 0.74/0.70 (((~((~positional_advantage(X!6, T2!3)) | (~is_aligned(X!6, T2!3)) | (hazard_of_mortality(X!6, T2!3) = low))) | (~((~positional_advantage(X!6, T2!3)) | is_aligned(X!6, T2!3) | (hazard_of_mortality(X!6, T2!3) = mod1))) | (~(positional_advantage(X!6, T2!3) | (~is_aligned(X!6, T2!3)) | (hazard_of_mortality(X!6, T2!3) = mod2))) | (~(is_aligned(X!6, T2!3) | positional_advantage(X!6, T2!3) | (hazard_of_mortality(X!6, T2!3) = high)))) | (is_aligned(X!6, T2!3) | positional_advantage(X!6, T2!3) | (hazard_of_mortality(X!6, T2!3) = high))),
% 0.74/0.70 inference(tautology,[status(thm)],[])).
% 0.74/0.70 tff(203,plain,
% 0.74/0.70 (is_aligned(X!6, T2!3) | positional_advantage(X!6, T2!3) | (hazard_of_mortality(X!6, T2!3) = high)),
% 0.74/0.70 inference(unit_resolution,[status(thm)],[202, 201])).
% 0.74/0.70 tff(204,plain,
% 0.74/0.70 (^[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_1(X))) | (~smaller_or_equal(age(X, tptp_fun_T_1(X)), tau)))) | (~((~greater(age(X, tptp_fun_T_1(X)), tau)) | positional_advantage(X, tptp_fun_T_1(X)))))))) <=> (~((~(robust_position(X) | (~((~positional_advantage(X, tptp_fun_T_1(X))) | (~smaller_or_equal(age(X, tptp_fun_T_1(X)), tau)))) | (~((~greater(age(X, tptp_fun_T_1(X)), tau)) | positional_advantage(X, tptp_fun_T_1(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))))))))))),
% 0.74/0.70 inference(bind,[status(th)],[])).
% 0.74/0.70 tff(205,plain,
% 0.74/0.70 (![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_1(X))) | (~smaller_or_equal(age(X, tptp_fun_T_1(X)), tau)))) | (~((~greater(age(X, tptp_fun_T_1(X)), tau)) | positional_advantage(X, tptp_fun_T_1(X)))))))) <=> ![X: $i] : (~((~(robust_position(X) | (~((~positional_advantage(X, tptp_fun_T_1(X))) | (~smaller_or_equal(age(X, tptp_fun_T_1(X)), tau)))) | (~((~greater(age(X, tptp_fun_T_1(X)), tau)) | positional_advantage(X, tptp_fun_T_1(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)))))))))),
% 0.74/0.71 inference(quant_intro,[status(thm)],[204])).
% 0.74/0.71 tff(206,plain,
% 0.74/0.71 (^[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_1(X))) | (~smaller_or_equal(age(X, tptp_fun_T_1(X)), tau)))) | (~((~greater(age(X, tptp_fun_T_1(X)), tau)) | positional_advantage(X, tptp_fun_T_1(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_1(X))) | (~smaller_or_equal(age(X, tptp_fun_T_1(X)), tau)))) | (~((~greater(age(X, tptp_fun_T_1(X)), tau)) | positional_advantage(X, tptp_fun_T_1(X)))))))))),
% 0.74/0.71 inference(bind,[status(th)],[])).
% 0.74/0.71 tff(207,plain,
% 0.74/0.71 (![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_1(X))) | (~smaller_or_equal(age(X, tptp_fun_T_1(X)), tau)))) | (~((~greater(age(X, tptp_fun_T_1(X)), tau)) | positional_advantage(X, tptp_fun_T_1(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_1(X))) | (~smaller_or_equal(age(X, tptp_fun_T_1(X)), tau)))) | (~((~greater(age(X, tptp_fun_T_1(X)), tau)) | positional_advantage(X, tptp_fun_T_1(X))))))))),
% 0.74/0.71 inference(quant_intro,[status(thm)],[206])).
% 0.74/0.71 tff(208,plain,
% 0.74/0.71 (^[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_1(X))) | (~smaller_or_equal(age(X, tptp_fun_T_1(X)), tau)))) | (~((~greater(age(X, tptp_fun_T_1(X)), tau)) | positional_advantage(X, tptp_fun_T_1(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_1(X))) | (~smaller_or_equal(age(X, tptp_fun_T_1(X)), tau)))) | (~((~greater(age(X, tptp_fun_T_1(X)), tau)) | positional_advantage(X, tptp_fun_T_1(X)))))))))),
% 0.74/0.71 inference(bind,[status(th)],[])).
% 0.74/0.71 tff(209,plain,
% 0.74/0.71 (![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_1(X))) | (~smaller_or_equal(age(X, tptp_fun_T_1(X)), tau)))) | (~((~greater(age(X, tptp_fun_T_1(X)), tau)) | positional_advantage(X, tptp_fun_T_1(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_1(X))) | (~smaller_or_equal(age(X, tptp_fun_T_1(X)), tau)))) | (~((~greater(age(X, tptp_fun_T_1(X)), tau)) | positional_advantage(X, tptp_fun_T_1(X))))))))),
% 0.74/0.71 inference(quant_intro,[status(thm)],[208])).
% 0.74/0.71 tff(210,plain,
% 0.74/0.71 (![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_1(X))) | (~smaller_or_equal(age(X, tptp_fun_T_1(X)), tau)))) | (~((~greater(age(X, tptp_fun_T_1(X)), tau)) | positional_advantage(X, tptp_fun_T_1(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_1(X))) | (~smaller_or_equal(age(X, tptp_fun_T_1(X)), tau)))) | (~((~greater(age(X, tptp_fun_T_1(X)), tau)) | positional_advantage(X, tptp_fun_T_1(X))))))))),
% 0.74/0.71 inference(transitivity,[status(thm)],[209, 207])).
% 0.74/0.71 tff(211,plain,
% 0.74/0.71 (^[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_1(X))) | (~smaller_or_equal(age(X, tptp_fun_T_1(X)), tau))) & ((~greater(age(X, tptp_fun_T_1(X)), tau)) | positional_advantage(X, tptp_fun_T_1(X)))) <=> (~((~((~positional_advantage(X, tptp_fun_T_1(X))) | (~smaller_or_equal(age(X, tptp_fun_T_1(X)), tau)))) | (~((~greater(age(X, tptp_fun_T_1(X)), tau)) | positional_advantage(X, tptp_fun_T_1(X))))))), ((~(((~positional_advantage(X, tptp_fun_T_1(X))) | (~smaller_or_equal(age(X, tptp_fun_T_1(X)), tau))) & ((~greater(age(X, tptp_fun_T_1(X)), tau)) | positional_advantage(X, tptp_fun_T_1(X))))) <=> (~(~((~((~positional_advantage(X, tptp_fun_T_1(X))) | (~smaller_or_equal(age(X, tptp_fun_T_1(X)), tau)))) | (~((~greater(age(X, tptp_fun_T_1(X)), tau)) | positional_advantage(X, tptp_fun_T_1(X))))))))), rewrite((~(~((~((~positional_advantage(X, tptp_fun_T_1(X))) | (~smaller_or_equal(age(X, tptp_fun_T_1(X)), tau)))) | (~((~greater(age(X, tptp_fun_T_1(X)), tau)) | positional_advantage(X, tptp_fun_T_1(X))))))) <=> ((~((~positional_advantage(X, tptp_fun_T_1(X))) | (~smaller_or_equal(age(X, tptp_fun_T_1(X)), tau)))) | (~((~greater(age(X, tptp_fun_T_1(X)), tau)) | positional_advantage(X, tptp_fun_T_1(X)))))), ((~(((~positional_advantage(X, tptp_fun_T_1(X))) | (~smaller_or_equal(age(X, tptp_fun_T_1(X)), tau))) & ((~greater(age(X, tptp_fun_T_1(X)), tau)) | positional_advantage(X, tptp_fun_T_1(X))))) <=> ((~((~positional_advantage(X, tptp_fun_T_1(X))) | (~smaller_or_equal(age(X, tptp_fun_T_1(X)), tau)))) | (~((~greater(age(X, tptp_fun_T_1(X)), tau)) | positional_advantage(X, tptp_fun_T_1(X))))))), ((robust_position(X) | (~(((~positional_advantage(X, tptp_fun_T_1(X))) | (~smaller_or_equal(age(X, tptp_fun_T_1(X)), tau))) & ((~greater(age(X, tptp_fun_T_1(X)), tau)) | positional_advantage(X, tptp_fun_T_1(X)))))) <=> (robust_position(X) | ((~((~positional_advantage(X, tptp_fun_T_1(X))) | (~smaller_or_equal(age(X, tptp_fun_T_1(X)), tau)))) | (~((~greater(age(X, tptp_fun_T_1(X)), tau)) | positional_advantage(X, tptp_fun_T_1(X)))))))), rewrite((robust_position(X) | ((~((~positional_advantage(X, tptp_fun_T_1(X))) | (~smaller_or_equal(age(X, tptp_fun_T_1(X)), tau)))) | (~((~greater(age(X, tptp_fun_T_1(X)), tau)) | positional_advantage(X, tptp_fun_T_1(X)))))) <=> (robust_position(X) | (~((~positional_advantage(X, tptp_fun_T_1(X))) | (~smaller_or_equal(age(X, tptp_fun_T_1(X)), tau)))) | (~((~greater(age(X, tptp_fun_T_1(X)), tau)) | positional_advantage(X, tptp_fun_T_1(X)))))), ((robust_position(X) | (~(((~positional_advantage(X, tptp_fun_T_1(X))) | (~smaller_or_equal(age(X, tptp_fun_T_1(X)), tau))) & ((~greater(age(X, tptp_fun_T_1(X)), tau)) | positional_advantage(X, tptp_fun_T_1(X)))))) <=> (robust_position(X) | (~((~positional_advantage(X, tptp_fun_T_1(X))) | (~smaller_or_equal(age(X, tptp_fun_T_1(X)), tau)))) | (~((~greater(age(X, tptp_fun_T_1(X)), tau)) | positional_advantage(X, tptp_fun_T_1(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_1(X))) | (~smaller_or_equal(age(X, tptp_fun_T_1(X)), tau))) & ((~greater(age(X, tptp_fun_T_1(X)), tau)) | positional_advantage(X, tptp_fun_T_1(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_1(X))) | (~smaller_or_equal(age(X, tptp_fun_T_1(X)), tau)))) | (~((~greater(age(X, tptp_fun_T_1(X)), tau)) | positional_advantage(X, tptp_fun_T_1(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_1(X))) | (~smaller_or_equal(age(X, tptp_fun_T_1(X)), tau)))) | (~((~greater(age(X, tptp_fun_T_1(X)), tau)) | positional_advantage(X, tptp_fun_T_1(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_1(X))) | (~smaller_or_equal(age(X, tptp_fun_T_1(X)), tau)))) | (~((~greater(age(X, tptp_fun_T_1(X)), tau)) | positional_advantage(X, tptp_fun_T_1(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_1(X))) | (~smaller_or_equal(age(X, tptp_fun_T_1(X)), tau))) & ((~greater(age(X, tptp_fun_T_1(X)), tau)) | positional_advantage(X, tptp_fun_T_1(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_1(X))) | (~smaller_or_equal(age(X, tptp_fun_T_1(X)), tau)))) | (~((~greater(age(X, tptp_fun_T_1(X)), tau)) | positional_advantage(X, tptp_fun_T_1(X))))))))))),
% 0.74/0.71 inference(bind,[status(th)],[])).
% 0.74/0.71 tff(212,plain,
% 0.74/0.71 (![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_1(X))) | (~smaller_or_equal(age(X, tptp_fun_T_1(X)), tau))) & ((~greater(age(X, tptp_fun_T_1(X)), tau)) | positional_advantage(X, tptp_fun_T_1(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_1(X))) | (~smaller_or_equal(age(X, tptp_fun_T_1(X)), tau)))) | (~((~greater(age(X, tptp_fun_T_1(X)), tau)) | positional_advantage(X, tptp_fun_T_1(X))))))))),
% 0.74/0.71 inference(quant_intro,[status(thm)],[211])).
% 0.74/0.71 tff(213,plain,
% 0.74/0.71 (![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))))),
% 0.74/0.71 inference(rewrite,[status(thm)],[])).
% 0.74/0.71 tff(214,plain,
% 0.74/0.71 (^[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)))))),
% 0.74/0.71 inference(bind,[status(th)],[])).
% 0.74/0.71 tff(215,plain,
% 0.74/0.71 (![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))))),
% 0.74/0.71 inference(quant_intro,[status(thm)],[214])).
% 0.74/0.71 tff(216,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')).
% 0.74/0.71 tff(217,plain,
% 0.74/0.71 (![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))))),
% 0.74/0.71 inference(modus_ponens,[status(thm)],[216, 215])).
% 0.74/0.71 tff(218,plain,
% 0.74/0.71 (![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))))),
% 0.74/0.71 inference(modus_ponens,[status(thm)],[217, 213])).
% 0.74/0.71 tff(219,plain,(
% 0.74/0.71 ![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_1(X))) | (~smaller_or_equal(age(X, tptp_fun_T_1(X)), tau))) & ((~greater(age(X, tptp_fun_T_1(X)), tau)) | positional_advantage(X, tptp_fun_T_1(X)))))))),
% 0.74/0.71 inference(skolemize,[status(sab)],[218])).
% 0.74/0.71 tff(220,plain,
% 0.74/0.71 (![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_1(X))) | (~smaller_or_equal(age(X, tptp_fun_T_1(X)), tau)))) | (~((~greater(age(X, tptp_fun_T_1(X)), tau)) | positional_advantage(X, tptp_fun_T_1(X))))))))),
% 0.74/0.71 inference(modus_ponens,[status(thm)],[219, 212])).
% 0.74/0.71 tff(221,plain,
% 0.74/0.71 (![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_1(X))) | (~smaller_or_equal(age(X, tptp_fun_T_1(X)), tau)))) | (~((~greater(age(X, tptp_fun_T_1(X)), tau)) | positional_advantage(X, tptp_fun_T_1(X))))))))),
% 0.74/0.71 inference(modus_ponens,[status(thm)],[220, 210])).
% 0.74/0.71 tff(222,plain,
% 0.74/0.71 (![X: $i] : (~((~(robust_position(X) | (~((~positional_advantage(X, tptp_fun_T_1(X))) | (~smaller_or_equal(age(X, tptp_fun_T_1(X)), tau)))) | (~((~greater(age(X, tptp_fun_T_1(X)), tau)) | positional_advantage(X, tptp_fun_T_1(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)))))))))),
% 0.74/0.71 inference(modus_ponens,[status(thm)],[221, 205])).
% 0.74/0.71 tff(223,plain,
% 0.74/0.71 ((~![X: $i] : (~((~(robust_position(X) | (~((~positional_advantage(X, tptp_fun_T_1(X))) | (~smaller_or_equal(age(X, tptp_fun_T_1(X)), tau)))) | (~((~greater(age(X, tptp_fun_T_1(X)), tau)) | positional_advantage(X, tptp_fun_T_1(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!6) | (~((~positional_advantage(X!6, tptp_fun_T_1(X!6))) | (~smaller_or_equal(age(X!6, tptp_fun_T_1(X!6)), tau)))) | (~((~greater(age(X!6, tptp_fun_T_1(X!6)), tau)) | positional_advantage(X!6, tptp_fun_T_1(X!6)))))) | (~((~robust_position(X!6)) | ![T: $i] : (~((~((~positional_advantage(X!6, T)) | (~smaller_or_equal(age(X!6, T), tau)))) | (~((~greater(age(X!6, T), tau)) | positional_advantage(X!6, T)))))))))),
% 0.74/0.71 inference(quant_inst,[status(thm)],[])).
% 0.74/0.71 tff(224,plain,
% 0.74/0.71 (~((~(robust_position(X!6) | (~((~positional_advantage(X!6, tptp_fun_T_1(X!6))) | (~smaller_or_equal(age(X!6, tptp_fun_T_1(X!6)), tau)))) | (~((~greater(age(X!6, tptp_fun_T_1(X!6)), tau)) | positional_advantage(X!6, tptp_fun_T_1(X!6)))))) | (~((~robust_position(X!6)) | ![T: $i] : (~((~((~positional_advantage(X!6, T)) | (~smaller_or_equal(age(X!6, T), tau)))) | (~((~greater(age(X!6, T), tau)) | positional_advantage(X!6, T))))))))),
% 0.74/0.71 inference(unit_resolution,[status(thm)],[223, 222])).
% 0.74/0.71 tff(225,plain,
% 0.74/0.71 (((~(robust_position(X!6) | (~((~positional_advantage(X!6, tptp_fun_T_1(X!6))) | (~smaller_or_equal(age(X!6, tptp_fun_T_1(X!6)), tau)))) | (~((~greater(age(X!6, tptp_fun_T_1(X!6)), tau)) | positional_advantage(X!6, tptp_fun_T_1(X!6)))))) | (~((~robust_position(X!6)) | ![T: $i] : (~((~((~positional_advantage(X!6, T)) | (~smaller_or_equal(age(X!6, T), tau)))) | (~((~greater(age(X!6, T), tau)) | positional_advantage(X!6, T)))))))) | ((~robust_position(X!6)) | ![T: $i] : (~((~((~positional_advantage(X!6, T)) | (~smaller_or_equal(age(X!6, T), tau)))) | (~((~greater(age(X!6, T), tau)) | positional_advantage(X!6, T))))))),
% 0.74/0.71 inference(tautology,[status(thm)],[])).
% 0.74/0.71 tff(226,plain,
% 0.74/0.71 ((~robust_position(X!6)) | ![T: $i] : (~((~((~positional_advantage(X!6, T)) | (~smaller_or_equal(age(X!6, T), tau)))) | (~((~greater(age(X!6, T), tau)) | positional_advantage(X!6, T)))))),
% 0.74/0.71 inference(unit_resolution,[status(thm)],[225, 224])).
% 0.74/0.71 tff(227,plain,
% 0.74/0.71 (robust_position(X!6)),
% 0.74/0.71 inference(and_elim,[status(thm)],[27])).
% 0.74/0.71 tff(228,plain,
% 0.74/0.71 ((~((~robust_position(X!6)) | ![T: $i] : (~((~((~positional_advantage(X!6, T)) | (~smaller_or_equal(age(X!6, T), tau)))) | (~((~greater(age(X!6, T), tau)) | positional_advantage(X!6, T))))))) | (~robust_position(X!6)) | ![T: $i] : (~((~((~positional_advantage(X!6, T)) | (~smaller_or_equal(age(X!6, T), tau)))) | (~((~greater(age(X!6, T), tau)) | positional_advantage(X!6, T)))))),
% 0.74/0.71 inference(tautology,[status(thm)],[])).
% 0.74/0.71 tff(229,plain,
% 0.74/0.71 ((~((~robust_position(X!6)) | ![T: $i] : (~((~((~positional_advantage(X!6, T)) | (~smaller_or_equal(age(X!6, T), tau)))) | (~((~greater(age(X!6, T), tau)) | positional_advantage(X!6, T))))))) | ![T: $i] : (~((~((~positional_advantage(X!6, T)) | (~smaller_or_equal(age(X!6, T), tau)))) | (~((~greater(age(X!6, T), tau)) | positional_advantage(X!6, T)))))),
% 0.74/0.71 inference(unit_resolution,[status(thm)],[228, 227])).
% 0.74/0.71 tff(230,plain,
% 0.74/0.71 (![T: $i] : (~((~((~positional_advantage(X!6, T)) | (~smaller_or_equal(age(X!6, T), tau)))) | (~((~greater(age(X!6, T), tau)) | positional_advantage(X!6, T)))))),
% 0.74/0.71 inference(unit_resolution,[status(thm)],[229, 226])).
% 0.74/0.71 tff(231,plain,
% 0.74/0.71 ((~![T: $i] : (~((~((~positional_advantage(X!6, T)) | (~smaller_or_equal(age(X!6, T), tau)))) | (~((~greater(age(X!6, T), tau)) | positional_advantage(X!6, T)))))) | (~((~((~positional_advantage(X!6, T2!3)) | (~smaller_or_equal(age(X!6, T2!3), tau)))) | (~((~greater(age(X!6, T2!3), tau)) | positional_advantage(X!6, T2!3)))))),
% 0.74/0.71 inference(quant_inst,[status(thm)],[])).
% 0.74/0.71 tff(232,plain,
% 0.74/0.71 (~((~((~positional_advantage(X!6, T2!3)) | (~smaller_or_equal(age(X!6, T2!3), tau)))) | (~((~greater(age(X!6, T2!3), tau)) | positional_advantage(X!6, T2!3))))),
% 0.74/0.71 inference(unit_resolution,[status(thm)],[231, 230])).
% 0.74/0.71 tff(233,plain,
% 0.74/0.71 (((~((~positional_advantage(X!6, T2!3)) | (~smaller_or_equal(age(X!6, T2!3), tau)))) | (~((~greater(age(X!6, T2!3), tau)) | positional_advantage(X!6, T2!3)))) | ((~positional_advantage(X!6, T2!3)) | (~smaller_or_equal(age(X!6, T2!3), tau)))),
% 0.74/0.71 inference(tautology,[status(thm)],[])).
% 0.74/0.71 tff(234,plain,
% 0.74/0.71 ((~positional_advantage(X!6, T2!3)) | (~smaller_or_equal(age(X!6, T2!3), tau))),
% 0.74/0.71 inference(unit_resolution,[status(thm)],[233, 232])).
% 0.74/0.71 tff(235,plain,
% 0.74/0.71 (smaller_or_equal(age(X!6, T2!3), tau)),
% 0.74/0.71 inference(and_elim,[status(thm)],[27])).
% 0.74/0.71 tff(236,plain,
% 0.74/0.71 ((~((~positional_advantage(X!6, T2!3)) | (~smaller_or_equal(age(X!6, T2!3), tau)))) | (~positional_advantage(X!6, T2!3)) | (~smaller_or_equal(age(X!6, T2!3), tau))),
% 0.74/0.71 inference(tautology,[status(thm)],[])).
% 0.74/0.71 tff(237,plain,
% 0.74/0.71 ((~((~positional_advantage(X!6, T2!3)) | (~smaller_or_equal(age(X!6, T2!3), tau)))) | (~positional_advantage(X!6, T2!3))),
% 0.74/0.71 inference(unit_resolution,[status(thm)],[236, 235])).
% 0.74/0.71 tff(238,plain,
% 0.74/0.71 (~positional_advantage(X!6, T2!3)),
% 0.74/0.71 inference(unit_resolution,[status(thm)],[237, 234])).
% 0.74/0.71 tff(239,plain,
% 0.74/0.71 ((~(is_aligned(X!6, T2!3) | positional_advantage(X!6, T2!3) | (hazard_of_mortality(X!6, T2!3) = high))) | is_aligned(X!6, T2!3) | positional_advantage(X!6, T2!3) | (hazard_of_mortality(X!6, T2!3) = high)),
% 0.74/0.71 inference(tautology,[status(thm)],[])).
% 0.74/0.71 tff(240,plain,
% 0.74/0.71 ((~(is_aligned(X!6, T2!3) | positional_advantage(X!6, T2!3) | (hazard_of_mortality(X!6, T2!3) = high))) | is_aligned(X!6, T2!3) | (hazard_of_mortality(X!6, T2!3) = high)),
% 0.74/0.71 inference(unit_resolution,[status(thm)],[239, 238])).
% 0.74/0.71 tff(241,plain,
% 0.74/0.71 (is_aligned(X!6, T2!3) | (hazard_of_mortality(X!6, T2!3) = high)),
% 0.74/0.71 inference(unit_resolution,[status(thm)],[240, 203])).
% 0.74/0.71 tff(242,plain,
% 0.74/0.71 (hazard_of_mortality(X!6, T2!3) = high),
% 0.74/0.71 inference(unit_resolution,[status(thm)],[241, 153])).
% 0.74/0.71 tff(243,assumption,(~smaller(hazard_of_mortality(X!6, T1!4), hazard_of_mortality(X!6, T2!3))), introduced(assumption)).
% 0.74/0.71 tff(244,assumption,(hazard_of_mortality(X!6, T2!3) = high), introduced(assumption)).
% 0.74/0.71 tff(245,assumption,(hazard_of_mortality(X!6, T1!4) = mod2), introduced(assumption)).
% 0.74/0.71 tff(246,plain,
% 0.74/0.71 (smaller(hazard_of_mortality(X!6, T1!4), hazard_of_mortality(X!6, T2!3)) <=> smaller(mod2, high)),
% 0.74/0.71 inference(monotonicity,[status(thm)],[245, 244])).
% 0.74/0.71 tff(247,plain,
% 0.74/0.71 (smaller(mod2, high) <=> smaller(hazard_of_mortality(X!6, T1!4), hazard_of_mortality(X!6, T2!3))),
% 0.74/0.71 inference(symmetry,[status(thm)],[246])).
% 0.74/0.71 tff(248,plain,
% 0.74/0.71 ((~![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))) | (smaller(mod2, high) <=> greater(high, mod2))),
% 0.74/0.71 inference(quant_inst,[status(thm)],[])).
% 0.74/0.71 tff(249,plain,
% 0.74/0.71 (smaller(mod2, high) <=> greater(high, mod2)),
% 0.74/0.71 inference(unit_resolution,[status(thm)],[248, 56])).
% 0.74/0.71 tff(250,plain,
% 0.74/0.71 (greater(high, mod2) <=> greater(high, mod2)),
% 0.74/0.71 inference(rewrite,[status(thm)],[])).
% 0.74/0.71 tff(251,axiom,(greater(high, mod2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','assumption_18d')).
% 0.74/0.71 tff(252,plain,
% 0.74/0.71 (greater(high, mod2)),
% 0.74/0.71 inference(modus_ponens,[status(thm)],[251, 250])).
% 0.74/0.71 tff(253,plain,
% 0.74/0.71 ((~(smaller(mod2, high) <=> greater(high, mod2))) | smaller(mod2, high) | (~greater(high, mod2))),
% 0.74/0.71 inference(tautology,[status(thm)],[])).
% 0.74/0.71 tff(254,plain,
% 0.74/0.71 ((~(smaller(mod2, high) <=> greater(high, mod2))) | smaller(mod2, high)),
% 0.74/0.71 inference(unit_resolution,[status(thm)],[253, 252])).
% 0.74/0.71 tff(255,plain,
% 0.74/0.71 (smaller(mod2, high)),
% 0.74/0.71 inference(unit_resolution,[status(thm)],[254, 249])).
% 0.74/0.71 tff(256,plain,
% 0.74/0.71 (smaller(hazard_of_mortality(X!6, T1!4), hazard_of_mortality(X!6, T2!3))),
% 0.74/0.71 inference(modus_ponens,[status(thm)],[255, 247])).
% 0.74/0.71 tff(257,plain,
% 0.74/0.71 ($false),
% 0.74/0.71 inference(unit_resolution,[status(thm)],[243, 256])).
% 0.74/0.71 tff(258,plain,((~(hazard_of_mortality(X!6, T2!3) = high)) | smaller(hazard_of_mortality(X!6, T1!4), hazard_of_mortality(X!6, T2!3)) | (~(hazard_of_mortality(X!6, T1!4) = mod2))), inference(lemma,lemma(discharge,[]))).
% 0.74/0.71 tff(259,plain,
% 0.74/0.71 (~(hazard_of_mortality(X!6, T1!4) = mod2)),
% 0.74/0.71 inference(unit_resolution,[status(thm)],[258, 243, 242])).
% 0.74/0.71 tff(260,plain,
% 0.74/0.71 ((~![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))) | (smaller_or_equal(age(X!6, T1!4), tau) <=> ((age(X!6, T1!4) = tau) | smaller(age(X!6, T1!4), tau)))),
% 0.74/0.71 inference(quant_inst,[status(thm)],[])).
% 0.74/0.71 tff(261,plain,
% 0.74/0.71 (smaller_or_equal(age(X!6, T1!4), tau) <=> ((age(X!6, T1!4) = tau) | smaller(age(X!6, T1!4), tau))),
% 0.74/0.71 inference(unit_resolution,[status(thm)],[260, 87])).
% 0.74/0.71 tff(262,assumption,(~smaller_or_equal(age(X!6, T1!4), tau)), introduced(assumption)).
% 0.74/0.71 tff(263,plain,
% 0.74/0.71 ((~(smaller_or_equal(age(X!6, T1!4), tau) <=> ((age(X!6, T1!4) = tau) | smaller(age(X!6, T1!4), tau)))) | smaller_or_equal(age(X!6, T1!4), tau) | (~((age(X!6, T1!4) = tau) | smaller(age(X!6, T1!4), tau)))),
% 0.74/0.71 inference(tautology,[status(thm)],[])).
% 0.74/0.71 tff(264,plain,
% 0.74/0.71 ((~(smaller_or_equal(age(X!6, T1!4), tau) <=> ((age(X!6, T1!4) = tau) | smaller(age(X!6, T1!4), tau)))) | (~((age(X!6, T1!4) = tau) | smaller(age(X!6, T1!4), tau)))),
% 0.74/0.71 inference(unit_resolution,[status(thm)],[263, 262])).
% 0.74/0.71 tff(265,plain,
% 0.74/0.71 (~((age(X!6, T1!4) = tau) | smaller(age(X!6, T1!4), tau))),
% 0.74/0.71 inference(unit_resolution,[status(thm)],[264, 261])).
% 0.74/0.71 tff(266,plain,
% 0.74/0.71 (((age(X!6, T1!4) = tau) | smaller(age(X!6, T1!4), tau)) | (~smaller(age(X!6, T1!4), tau))),
% 0.74/0.71 inference(tautology,[status(thm)],[])).
% 0.74/0.71 tff(267,plain,
% 0.74/0.71 (~smaller(age(X!6, T1!4), tau)),
% 0.74/0.71 inference(unit_resolution,[status(thm)],[266, 265])).
% 0.74/0.71 tff(268,plain,
% 0.74/0.71 (((age(X!6, T1!4) = tau) | smaller(age(X!6, T1!4), tau)) | (~(age(X!6, T1!4) = tau))),
% 0.74/0.71 inference(tautology,[status(thm)],[])).
% 0.74/0.71 tff(269,plain,
% 0.74/0.71 (~(age(X!6, T1!4) = tau)),
% 0.74/0.71 inference(unit_resolution,[status(thm)],[268, 265])).
% 0.74/0.71 tff(270,plain,
% 0.74/0.71 (^[X: $i, Y: $i] : refl(((X = Y) | smaller(X, Y) | greater(X, Y)) <=> ((X = Y) | smaller(X, Y) | greater(X, Y)))),
% 0.74/0.71 inference(bind,[status(th)],[])).
% 0.74/0.71 tff(271,plain,
% 0.74/0.71 (![X: $i, Y: $i] : ((X = Y) | smaller(X, Y) | greater(X, Y)) <=> ![X: $i, Y: $i] : ((X = Y) | smaller(X, Y) | greater(X, Y))),
% 0.74/0.71 inference(quant_intro,[status(thm)],[270])).
% 0.74/0.71 tff(272,plain,
% 0.74/0.71 (![X: $i, Y: $i] : ((X = Y) | smaller(X, Y) | greater(X, Y)) <=> ![X: $i, Y: $i] : ((X = Y) | smaller(X, Y) | greater(X, Y))),
% 0.74/0.71 inference(rewrite,[status(thm)],[])).
% 0.74/0.71 tff(273,plain,
% 0.74/0.71 (^[X: $i, Y: $i] : trans(monotonicity(rewrite((smaller(X, Y) | (X = Y)) <=> ((X = Y) | smaller(X, Y))), (((smaller(X, Y) | (X = Y)) | greater(X, Y)) <=> (((X = Y) | smaller(X, Y)) | greater(X, Y)))), rewrite((((X = Y) | smaller(X, Y)) | greater(X, Y)) <=> ((X = Y) | smaller(X, Y) | greater(X, Y))), (((smaller(X, Y) | (X = Y)) | greater(X, Y)) <=> ((X = Y) | smaller(X, Y) | greater(X, Y))))),
% 0.74/0.71 inference(bind,[status(th)],[])).
% 0.74/0.71 tff(274,plain,
% 0.74/0.71 (![X: $i, Y: $i] : ((smaller(X, Y) | (X = Y)) | greater(X, Y)) <=> ![X: $i, Y: $i] : ((X = Y) | smaller(X, Y) | greater(X, Y))),
% 0.74/0.71 inference(quant_intro,[status(thm)],[273])).
% 0.74/0.71 tff(275,axiom,(![X: $i, Y: $i] : ((smaller(X, Y) | (X = Y)) | greater(X, Y))), file('/export/starexec/sandbox/benchmark/Axioms/MGT001+0.ax','meaning_postulate_greater_comparable')).
% 0.74/0.71 tff(276,plain,
% 0.74/0.71 (![X: $i, Y: $i] : ((X = Y) | smaller(X, Y) | greater(X, Y))),
% 0.74/0.71 inference(modus_ponens,[status(thm)],[275, 274])).
% 0.74/0.71 tff(277,plain,
% 0.74/0.71 (![X: $i, Y: $i] : ((X = Y) | smaller(X, Y) | greater(X, Y))),
% 0.74/0.71 inference(modus_ponens,[status(thm)],[276, 272])).
% 0.74/0.71 tff(278,plain,(
% 0.74/0.71 ![X: $i, Y: $i] : ((X = Y) | smaller(X, Y) | greater(X, Y))),
% 0.74/0.71 inference(skolemize,[status(sab)],[277])).
% 0.74/0.71 tff(279,plain,
% 0.74/0.71 (![X: $i, Y: $i] : ((X = Y) | smaller(X, Y) | greater(X, Y))),
% 0.74/0.71 inference(modus_ponens,[status(thm)],[278, 271])).
% 0.74/0.71 tff(280,plain,
% 0.74/0.71 (((~![X: $i, Y: $i] : ((X = Y) | smaller(X, Y) | greater(X, Y))) | (greater(age(X!6, T1!4), tau) | smaller(age(X!6, T1!4), tau) | (age(X!6, T1!4) = tau))) <=> ((~![X: $i, Y: $i] : ((X = Y) | smaller(X, Y) | greater(X, Y))) | greater(age(X!6, T1!4), tau) | smaller(age(X!6, T1!4), tau) | (age(X!6, T1!4) = tau))),
% 0.74/0.71 inference(rewrite,[status(thm)],[])).
% 0.74/0.71 tff(281,plain,
% 0.74/0.71 (((age(X!6, T1!4) = tau) | smaller(age(X!6, T1!4), tau) | greater(age(X!6, T1!4), tau)) <=> (greater(age(X!6, T1!4), tau) | smaller(age(X!6, T1!4), tau) | (age(X!6, T1!4) = tau))),
% 0.74/0.71 inference(rewrite,[status(thm)],[])).
% 0.74/0.71 tff(282,plain,
% 0.74/0.71 (((~![X: $i, Y: $i] : ((X = Y) | smaller(X, Y) | greater(X, Y))) | ((age(X!6, T1!4) = tau) | smaller(age(X!6, T1!4), tau) | greater(age(X!6, T1!4), tau))) <=> ((~![X: $i, Y: $i] : ((X = Y) | smaller(X, Y) | greater(X, Y))) | (greater(age(X!6, T1!4), tau) | smaller(age(X!6, T1!4), tau) | (age(X!6, T1!4) = tau)))),
% 0.74/0.72 inference(monotonicity,[status(thm)],[281])).
% 0.74/0.72 tff(283,plain,
% 0.74/0.72 (((~![X: $i, Y: $i] : ((X = Y) | smaller(X, Y) | greater(X, Y))) | ((age(X!6, T1!4) = tau) | smaller(age(X!6, T1!4), tau) | greater(age(X!6, T1!4), tau))) <=> ((~![X: $i, Y: $i] : ((X = Y) | smaller(X, Y) | greater(X, Y))) | greater(age(X!6, T1!4), tau) | smaller(age(X!6, T1!4), tau) | (age(X!6, T1!4) = tau))),
% 0.74/0.72 inference(transitivity,[status(thm)],[282, 280])).
% 0.74/0.72 tff(284,plain,
% 0.74/0.72 ((~![X: $i, Y: $i] : ((X = Y) | smaller(X, Y) | greater(X, Y))) | ((age(X!6, T1!4) = tau) | smaller(age(X!6, T1!4), tau) | greater(age(X!6, T1!4), tau))),
% 0.74/0.72 inference(quant_inst,[status(thm)],[])).
% 0.74/0.72 tff(285,plain,
% 0.74/0.72 ((~![X: $i, Y: $i] : ((X = Y) | smaller(X, Y) | greater(X, Y))) | greater(age(X!6, T1!4), tau) | smaller(age(X!6, T1!4), tau) | (age(X!6, T1!4) = tau)),
% 0.74/0.72 inference(modus_ponens,[status(thm)],[284, 283])).
% 0.74/0.72 tff(286,plain,
% 0.74/0.72 (greater(age(X!6, T1!4), tau)),
% 0.74/0.72 inference(unit_resolution,[status(thm)],[285, 279, 269, 267])).
% 0.74/0.72 tff(287,plain,
% 0.74/0.72 ((~![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))) | (smaller(sigma, tau) <=> greater(tau, sigma))),
% 0.74/0.72 inference(quant_inst,[status(thm)],[])).
% 0.74/0.72 tff(288,plain,
% 0.74/0.72 (smaller(sigma, tau) <=> greater(tau, sigma)),
% 0.74/0.72 inference(unit_resolution,[status(thm)],[287, 56])).
% 0.74/0.72 tff(289,plain,
% 0.74/0.72 (smaller(sigma, tau)),
% 0.74/0.72 inference(and_elim,[status(thm)],[27])).
% 0.74/0.72 tff(290,plain,
% 0.74/0.72 ((~(smaller(sigma, tau) <=> greater(tau, sigma))) | (~smaller(sigma, tau)) | greater(tau, sigma)),
% 0.74/0.72 inference(tautology,[status(thm)],[])).
% 0.74/0.72 tff(291,plain,
% 0.74/0.72 ((~(smaller(sigma, tau) <=> greater(tau, sigma))) | greater(tau, sigma)),
% 0.74/0.72 inference(unit_resolution,[status(thm)],[290, 289])).
% 0.74/0.72 tff(292,plain,
% 0.74/0.72 (greater(tau, sigma)),
% 0.74/0.72 inference(unit_resolution,[status(thm)],[291, 288])).
% 0.74/0.72 tff(293,plain,
% 0.74/0.72 (![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y))) <=> ![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))),
% 0.74/0.72 inference(rewrite,[status(thm)],[])).
% 0.74/0.72 tff(294,plain,
% 0.74/0.72 (^[X: $i, Y: $i, Z: $i] : trans(monotonicity(trans(monotonicity(rewrite((greater(X, Y) & greater(Y, Z)) <=> (~((~greater(Y, Z)) | (~greater(X, Y))))), ((~(greater(X, Y) & greater(Y, Z))) <=> (~(~((~greater(Y, Z)) | (~greater(X, Y))))))), rewrite((~(~((~greater(Y, Z)) | (~greater(X, Y))))) <=> ((~greater(Y, Z)) | (~greater(X, Y)))), ((~(greater(X, Y) & greater(Y, Z))) <=> ((~greater(Y, Z)) | (~greater(X, Y))))), (((~(greater(X, Y) & greater(Y, Z))) | greater(X, Z)) <=> (((~greater(Y, Z)) | (~greater(X, Y))) | greater(X, Z)))), rewrite((((~greater(Y, Z)) | (~greater(X, Y))) | greater(X, Z)) <=> (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))), (((~(greater(X, Y) & greater(Y, Z))) | greater(X, Z)) <=> (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))))),
% 0.74/0.72 inference(bind,[status(th)],[])).
% 0.74/0.72 tff(295,plain,
% 0.74/0.72 (![X: $i, Y: $i, Z: $i] : ((~(greater(X, Y) & greater(Y, Z))) | greater(X, Z)) <=> ![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))),
% 0.74/0.72 inference(quant_intro,[status(thm)],[294])).
% 0.74/0.72 tff(296,plain,
% 0.74/0.72 (![X: $i, Y: $i, Z: $i] : ((~(greater(X, Y) & greater(Y, Z))) | greater(X, Z)) <=> ![X: $i, Y: $i, Z: $i] : ((~(greater(X, Y) & greater(Y, Z))) | greater(X, Z))),
% 0.74/0.72 inference(rewrite,[status(thm)],[])).
% 0.74/0.72 tff(297,plain,
% 0.74/0.72 (^[X: $i, Y: $i, Z: $i] : rewrite(((greater(X, Y) & greater(Y, Z)) => greater(X, Z)) <=> ((~(greater(X, Y) & greater(Y, Z))) | greater(X, Z)))),
% 0.74/0.72 inference(bind,[status(th)],[])).
% 0.74/0.72 tff(298,plain,
% 0.74/0.72 (![X: $i, Y: $i, Z: $i] : ((greater(X, Y) & greater(Y, Z)) => greater(X, Z)) <=> ![X: $i, Y: $i, Z: $i] : ((~(greater(X, Y) & greater(Y, Z))) | greater(X, Z))),
% 0.74/0.72 inference(quant_intro,[status(thm)],[297])).
% 0.74/0.72 tff(299,axiom,(![X: $i, Y: $i, Z: $i] : ((greater(X, Y) & greater(Y, Z)) => greater(X, Z))), file('/export/starexec/sandbox/benchmark/Axioms/MGT001+0.ax','meaning_postulate_greater_transitive')).
% 0.74/0.72 tff(300,plain,
% 0.74/0.72 (![X: $i, Y: $i, Z: $i] : ((~(greater(X, Y) & greater(Y, Z))) | greater(X, Z))),
% 0.74/0.72 inference(modus_ponens,[status(thm)],[299, 298])).
% 0.74/0.72 tff(301,plain,
% 0.74/0.72 (![X: $i, Y: $i, Z: $i] : ((~(greater(X, Y) & greater(Y, Z))) | greater(X, Z))),
% 0.74/0.72 inference(modus_ponens,[status(thm)],[300, 296])).
% 0.74/0.72 tff(302,plain,(
% 0.74/0.72 ![X: $i, Y: $i, Z: $i] : ((~(greater(X, Y) & greater(Y, Z))) | greater(X, Z))),
% 0.74/0.72 inference(skolemize,[status(sab)],[301])).
% 0.74/0.72 tff(303,plain,
% 0.74/0.72 (![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))),
% 0.74/0.72 inference(modus_ponens,[status(thm)],[302, 295])).
% 0.74/0.72 tff(304,plain,
% 0.74/0.72 (![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))),
% 0.74/0.72 inference(modus_ponens,[status(thm)],[303, 293])).
% 0.74/0.72 tff(305,plain,
% 0.74/0.72 (((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | ((~greater(tau, sigma)) | (~greater(age(X!6, T1!4), tau)) | greater(age(X!6, T1!4), sigma))) <=> ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (~greater(tau, sigma)) | (~greater(age(X!6, T1!4), tau)) | greater(age(X!6, T1!4), sigma))),
% 0.74/0.72 inference(rewrite,[status(thm)],[])).
% 0.74/0.72 tff(306,plain,
% 0.74/0.72 ((greater(age(X!6, T1!4), sigma) | (~greater(tau, sigma)) | (~greater(age(X!6, T1!4), tau))) <=> ((~greater(tau, sigma)) | (~greater(age(X!6, T1!4), tau)) | greater(age(X!6, T1!4), sigma))),
% 0.74/0.72 inference(rewrite,[status(thm)],[])).
% 0.74/0.72 tff(307,plain,
% 0.74/0.72 (((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (greater(age(X!6, T1!4), sigma) | (~greater(tau, sigma)) | (~greater(age(X!6, T1!4), tau)))) <=> ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | ((~greater(tau, sigma)) | (~greater(age(X!6, T1!4), tau)) | greater(age(X!6, T1!4), sigma)))),
% 0.74/0.72 inference(monotonicity,[status(thm)],[306])).
% 0.74/0.72 tff(308,plain,
% 0.74/0.72 (((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (greater(age(X!6, T1!4), sigma) | (~greater(tau, sigma)) | (~greater(age(X!6, T1!4), tau)))) <=> ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (~greater(tau, sigma)) | (~greater(age(X!6, T1!4), tau)) | greater(age(X!6, T1!4), sigma))),
% 0.74/0.72 inference(transitivity,[status(thm)],[307, 305])).
% 0.74/0.72 tff(309,plain,
% 0.74/0.72 ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (greater(age(X!6, T1!4), sigma) | (~greater(tau, sigma)) | (~greater(age(X!6, T1!4), tau)))),
% 0.74/0.72 inference(quant_inst,[status(thm)],[])).
% 0.74/0.72 tff(310,plain,
% 0.74/0.72 ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (~greater(tau, sigma)) | (~greater(age(X!6, T1!4), tau)) | greater(age(X!6, T1!4), sigma)),
% 0.74/0.72 inference(modus_ponens,[status(thm)],[309, 308])).
% 0.74/0.72 tff(311,plain,
% 0.74/0.72 (greater(age(X!6, T1!4), sigma)),
% 0.74/0.72 inference(unit_resolution,[status(thm)],[310, 304, 292, 286])).
% 0.74/0.72 tff(312,plain,
% 0.74/0.72 (~greater(sigma, age(X!6, T1!4))),
% 0.74/0.72 inference(unit_resolution,[status(thm)],[72, 69, 311])).
% 0.74/0.72 tff(313,plain,
% 0.74/0.72 ((~(smaller(age(X!6, T1!4), sigma) <=> greater(sigma, age(X!6, T1!4)))) | (~smaller(age(X!6, T1!4), sigma))),
% 0.74/0.72 inference(unit_resolution,[status(thm)],[75, 312])).
% 0.74/0.72 tff(314,plain,
% 0.74/0.72 (~smaller(age(X!6, T1!4), sigma)),
% 0.74/0.72 inference(unit_resolution,[status(thm)],[313, 58])).
% 0.74/0.72 tff(315,plain,
% 0.74/0.72 (age(X!6, T1!4) = sigma),
% 0.74/0.72 inference(unit_resolution,[status(thm)],[95, 314])).
% 0.74/0.72 tff(316,plain,
% 0.74/0.72 (smaller_or_equal(age(X!6, T1!4), tau) <=> smaller_or_equal(sigma, tau)),
% 0.74/0.72 inference(monotonicity,[status(thm)],[315])).
% 0.74/0.72 tff(317,plain,
% 0.74/0.72 (smaller_or_equal(sigma, tau) <=> smaller_or_equal(age(X!6, T1!4), tau)),
% 0.74/0.72 inference(symmetry,[status(thm)],[316])).
% 0.74/0.72 tff(318,plain,
% 0.74/0.72 ((~![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))) | (smaller_or_equal(sigma, tau) <=> ((sigma = tau) | smaller(sigma, tau)))),
% 0.74/0.72 inference(quant_inst,[status(thm)],[])).
% 0.74/0.72 tff(319,plain,
% 0.74/0.72 (smaller_or_equal(sigma, tau) <=> ((sigma = tau) | smaller(sigma, tau))),
% 0.74/0.72 inference(unit_resolution,[status(thm)],[318, 87])).
% 0.74/0.72 tff(320,plain,
% 0.74/0.72 (((sigma = tau) | smaller(sigma, tau)) | (~smaller(sigma, tau))),
% 0.74/0.72 inference(tautology,[status(thm)],[])).
% 0.74/0.72 tff(321,plain,
% 0.74/0.72 ((sigma = tau) | smaller(sigma, tau)),
% 0.74/0.72 inference(unit_resolution,[status(thm)],[320, 289])).
% 0.74/0.72 tff(322,plain,
% 0.74/0.72 ((~(smaller_or_equal(sigma, tau) <=> ((sigma = tau) | smaller(sigma, tau)))) | smaller_or_equal(sigma, tau) | (~((sigma = tau) | smaller(sigma, tau)))),
% 0.74/0.72 inference(tautology,[status(thm)],[])).
% 0.74/0.72 tff(323,plain,
% 0.74/0.72 ((~(smaller_or_equal(sigma, tau) <=> ((sigma = tau) | smaller(sigma, tau)))) | smaller_or_equal(sigma, tau)),
% 0.74/0.72 inference(unit_resolution,[status(thm)],[322, 321])).
% 0.74/0.72 tff(324,plain,
% 0.74/0.72 (smaller_or_equal(sigma, tau)),
% 0.74/0.72 inference(unit_resolution,[status(thm)],[323, 319])).
% 0.74/0.72 tff(325,plain,
% 0.74/0.72 (smaller_or_equal(age(X!6, T1!4), tau)),
% 0.74/0.72 inference(modus_ponens,[status(thm)],[324, 317])).
% 0.74/0.72 tff(326,plain,
% 0.74/0.72 ($false),
% 0.74/0.72 inference(unit_resolution,[status(thm)],[262, 325])).
% 0.74/0.72 tff(327,plain,(smaller_or_equal(age(X!6, T1!4), tau)), inference(lemma,lemma(discharge,[]))).
% 0.74/0.72 tff(328,plain,
% 0.74/0.72 ((~![T: $i] : (~((~((~positional_advantage(X!6, T)) | (~smaller_or_equal(age(X!6, T), tau)))) | (~((~greater(age(X!6, T), tau)) | positional_advantage(X!6, T)))))) | (~((~((~positional_advantage(X!6, T1!4)) | (~smaller_or_equal(age(X!6, T1!4), tau)))) | (~((~greater(age(X!6, T1!4), tau)) | positional_advantage(X!6, T1!4)))))),
% 0.74/0.72 inference(quant_inst,[status(thm)],[])).
% 0.74/0.72 tff(329,plain,
% 0.74/0.72 (~((~((~positional_advantage(X!6, T1!4)) | (~smaller_or_equal(age(X!6, T1!4), tau)))) | (~((~greater(age(X!6, T1!4), tau)) | positional_advantage(X!6, T1!4))))),
% 0.74/0.72 inference(unit_resolution,[status(thm)],[328, 230])).
% 0.74/0.72 tff(330,plain,
% 0.74/0.72 (((~((~positional_advantage(X!6, T1!4)) | (~smaller_or_equal(age(X!6, T1!4), tau)))) | (~((~greater(age(X!6, T1!4), tau)) | positional_advantage(X!6, T1!4)))) | ((~positional_advantage(X!6, T1!4)) | (~smaller_or_equal(age(X!6, T1!4), tau)))),
% 0.74/0.72 inference(tautology,[status(thm)],[])).
% 0.74/0.72 tff(331,plain,
% 0.74/0.72 ((~positional_advantage(X!6, T1!4)) | (~smaller_or_equal(age(X!6, T1!4), tau))),
% 0.74/0.72 inference(unit_resolution,[status(thm)],[330, 329])).
% 0.74/0.72 tff(332,plain,
% 0.74/0.72 ((~((~positional_advantage(X!6, T1!4)) | (~smaller_or_equal(age(X!6, T1!4), tau)))) | (~positional_advantage(X!6, T1!4)) | (~smaller_or_equal(age(X!6, T1!4), tau))),
% 0.74/0.72 inference(tautology,[status(thm)],[])).
% 0.74/0.72 tff(333,plain,
% 0.74/0.72 ((~positional_advantage(X!6, T1!4)) | (~smaller_or_equal(age(X!6, T1!4), tau))),
% 0.74/0.72 inference(unit_resolution,[status(thm)],[332, 331])).
% 0.74/0.72 tff(334,plain,
% 0.74/0.72 (~positional_advantage(X!6, T1!4)),
% 0.74/0.72 inference(unit_resolution,[status(thm)],[333, 327])).
% 0.74/0.72 tff(335,plain,
% 0.74/0.72 ((~(positional_advantage(X!6, T1!4) | (~is_aligned(X!6, T1!4)) | (hazard_of_mortality(X!6, T1!4) = mod2))) | positional_advantage(X!6, T1!4) | (~is_aligned(X!6, T1!4)) | (hazard_of_mortality(X!6, T1!4) = mod2)),
% 0.74/0.72 inference(tautology,[status(thm)],[])).
% 0.74/0.72 tff(336,plain,
% 0.74/0.72 ((~(positional_advantage(X!6, T1!4) | (~is_aligned(X!6, T1!4)) | (hazard_of_mortality(X!6, T1!4) = mod2))) | (~is_aligned(X!6, T1!4)) | (hazard_of_mortality(X!6, T1!4) = mod2)),
% 0.74/0.72 inference(unit_resolution,[status(thm)],[335, 334])).
% 0.74/0.72 tff(337,plain,
% 0.74/0.72 (~(positional_advantage(X!6, T1!4) | (~is_aligned(X!6, T1!4)) | (hazard_of_mortality(X!6, T1!4) = mod2))),
% 0.74/0.72 inference(unit_resolution,[status(thm)],[336, 259, 132])).
% 0.74/0.72 tff(338,assumption,(hazard_of_mortality(X!6, T1!4) = very_low), introduced(assumption)).
% 0.74/0.72 tff(339,plain,
% 0.74/0.72 (high = hazard_of_mortality(X!6, T2!3)),
% 0.74/0.72 inference(symmetry,[status(thm)],[244])).
% 0.74/0.72 tff(340,plain,
% 0.74/0.72 (very_low = hazard_of_mortality(X!6, T1!4)),
% 0.74/0.72 inference(symmetry,[status(thm)],[338])).
% 0.74/0.72 tff(341,plain,
% 0.74/0.72 (smaller(very_low, high) <=> smaller(hazard_of_mortality(X!6, T1!4), hazard_of_mortality(X!6, T2!3))),
% 0.74/0.72 inference(monotonicity,[status(thm)],[340, 339])).
% 0.74/0.72 tff(342,plain,
% 0.74/0.72 (smaller(hazard_of_mortality(X!6, T1!4), hazard_of_mortality(X!6, T2!3)) <=> smaller(very_low, high)),
% 0.74/0.72 inference(symmetry,[status(thm)],[341])).
% 0.74/0.72 tff(343,plain,
% 0.74/0.72 ((~smaller(hazard_of_mortality(X!6, T1!4), hazard_of_mortality(X!6, T2!3))) <=> (~smaller(very_low, high))),
% 0.74/0.72 inference(monotonicity,[status(thm)],[342])).
% 0.74/0.72 tff(344,plain,
% 0.74/0.72 (~smaller(very_low, high)),
% 0.74/0.72 inference(modus_ponens,[status(thm)],[243, 343])).
% 0.74/0.72 tff(345,plain,
% 0.74/0.72 ((~![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))) | (smaller(very_low, high) <=> greater(high, very_low))),
% 0.74/0.72 inference(quant_inst,[status(thm)],[])).
% 0.74/0.72 tff(346,plain,
% 0.74/0.72 (smaller(very_low, high) <=> greater(high, very_low)),
% 0.74/0.72 inference(unit_resolution,[status(thm)],[345, 56])).
% 0.74/0.72 tff(347,plain,
% 0.74/0.72 (greater(mod1, low) <=> greater(mod1, low)),
% 0.74/0.72 inference(rewrite,[status(thm)],[])).
% 0.74/0.72 tff(348,axiom,(greater(mod1, low)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','assumption_18b')).
% 0.74/0.72 tff(349,plain,
% 0.74/0.72 (greater(mod1, low)),
% 0.74/0.72 inference(modus_ponens,[status(thm)],[348, 347])).
% 0.74/0.72 tff(350,plain,
% 0.74/0.72 (greater(high, mod1) <=> greater(high, mod1)),
% 0.74/0.72 inference(rewrite,[status(thm)],[])).
% 0.74/0.72 tff(351,axiom,(greater(high, mod1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','assumption_18a')).
% 0.74/0.72 tff(352,plain,
% 0.74/0.72 (greater(high, mod1)),
% 0.74/0.72 inference(modus_ponens,[status(thm)],[351, 350])).
% 0.74/0.72 tff(353,plain,
% 0.74/0.72 (((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (greater(high, low) | (~greater(mod1, low)) | (~greater(high, mod1)))) <=> ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | greater(high, low) | (~greater(mod1, low)) | (~greater(high, mod1)))),
% 0.74/0.72 inference(rewrite,[status(thm)],[])).
% 0.74/0.72 tff(354,plain,
% 0.74/0.72 ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (greater(high, low) | (~greater(mod1, low)) | (~greater(high, mod1)))),
% 0.74/0.72 inference(quant_inst,[status(thm)],[])).
% 0.74/0.72 tff(355,plain,
% 0.74/0.72 ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | greater(high, low) | (~greater(mod1, low)) | (~greater(high, mod1))),
% 0.74/0.72 inference(modus_ponens,[status(thm)],[354, 353])).
% 0.74/0.72 tff(356,plain,
% 0.74/0.72 (greater(high, low)),
% 0.74/0.72 inference(unit_resolution,[status(thm)],[355, 304, 352, 349])).
% 0.74/0.72 tff(357,plain,
% 0.74/0.72 (greater(low, very_low) <=> greater(low, very_low)),
% 0.74/0.72 inference(rewrite,[status(thm)],[])).
% 0.74/0.72 tff(358,axiom,(greater(low, very_low)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','assumption_18c')).
% 0.74/0.72 tff(359,plain,
% 0.74/0.72 (greater(low, very_low)),
% 0.74/0.72 inference(modus_ponens,[status(thm)],[358, 357])).
% 0.74/0.72 tff(360,plain,
% 0.74/0.72 (((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | ((~greater(low, very_low)) | greater(high, very_low) | (~greater(high, low)))) <=> ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (~greater(low, very_low)) | greater(high, very_low) | (~greater(high, low)))),
% 0.74/0.72 inference(rewrite,[status(thm)],[])).
% 0.74/0.72 tff(361,plain,
% 0.74/0.72 ((greater(high, very_low) | (~greater(low, very_low)) | (~greater(high, low))) <=> ((~greater(low, very_low)) | greater(high, very_low) | (~greater(high, low)))),
% 0.74/0.72 inference(rewrite,[status(thm)],[])).
% 0.74/0.72 tff(362,plain,
% 0.74/0.72 (((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (greater(high, very_low) | (~greater(low, very_low)) | (~greater(high, low)))) <=> ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | ((~greater(low, very_low)) | greater(high, very_low) | (~greater(high, low))))),
% 0.74/0.72 inference(monotonicity,[status(thm)],[361])).
% 0.74/0.72 tff(363,plain,
% 0.74/0.72 (((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (greater(high, very_low) | (~greater(low, very_low)) | (~greater(high, low)))) <=> ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (~greater(low, very_low)) | greater(high, very_low) | (~greater(high, low)))),
% 0.74/0.72 inference(transitivity,[status(thm)],[362, 360])).
% 0.74/0.72 tff(364,plain,
% 0.74/0.72 ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (greater(high, very_low) | (~greater(low, very_low)) | (~greater(high, low)))),
% 0.74/0.72 inference(quant_inst,[status(thm)],[])).
% 0.74/0.72 tff(365,plain,
% 0.74/0.72 ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (~greater(low, very_low)) | greater(high, very_low) | (~greater(high, low))),
% 0.74/0.72 inference(modus_ponens,[status(thm)],[364, 363])).
% 0.74/0.72 tff(366,plain,
% 0.74/0.72 (greater(high, very_low)),
% 0.74/0.72 inference(unit_resolution,[status(thm)],[365, 304, 359, 356])).
% 0.74/0.72 tff(367,plain,
% 0.74/0.72 ((~(smaller(very_low, high) <=> greater(high, very_low))) | smaller(very_low, high) | (~greater(high, very_low))),
% 0.74/0.72 inference(tautology,[status(thm)],[])).
% 0.74/0.72 tff(368,plain,
% 0.74/0.72 ((~(smaller(very_low, high) <=> greater(high, very_low))) | smaller(very_low, high)),
% 0.74/0.72 inference(unit_resolution,[status(thm)],[367, 366])).
% 0.74/0.72 tff(369,plain,
% 0.74/0.72 (smaller(very_low, high)),
% 0.74/0.72 inference(unit_resolution,[status(thm)],[368, 346])).
% 0.74/0.72 tff(370,plain,
% 0.74/0.72 ($false),
% 0.74/0.72 inference(unit_resolution,[status(thm)],[369, 344])).
% 0.74/0.72 tff(371,plain,((~(hazard_of_mortality(X!6, T1!4) = very_low)) | smaller(hazard_of_mortality(X!6, T1!4), hazard_of_mortality(X!6, T2!3)) | (~(hazard_of_mortality(X!6, T2!3) = high))), inference(lemma,lemma(discharge,[]))).
% 0.74/0.72 tff(372,plain,
% 0.74/0.72 (~(hazard_of_mortality(X!6, T2!3) = high)),
% 0.74/0.72 inference(unit_resolution,[status(thm)],[371, 338, 243])).
% 0.74/0.72 tff(373,assumption,(hazard_of_mortality(X!6, T2!3) = mod2), introduced(assumption)).
% 0.74/0.72 tff(374,plain,
% 0.74/0.72 (smaller(hazard_of_mortality(X!6, T1!4), hazard_of_mortality(X!6, T2!3)) <=> smaller(very_low, mod2)),
% 0.74/0.72 inference(monotonicity,[status(thm)],[338, 373])).
% 0.74/0.72 tff(375,plain,
% 0.74/0.72 (smaller(very_low, mod2) <=> smaller(hazard_of_mortality(X!6, T1!4), hazard_of_mortality(X!6, T2!3))),
% 0.74/0.72 inference(symmetry,[status(thm)],[374])).
% 0.74/0.72 tff(376,plain,
% 0.74/0.72 ((~![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))) | (smaller(very_low, mod2) <=> greater(mod2, very_low))),
% 0.74/0.72 inference(quant_inst,[status(thm)],[])).
% 0.74/0.72 tff(377,plain,
% 0.74/0.72 (smaller(very_low, mod2) <=> greater(mod2, very_low)),
% 0.74/0.72 inference(unit_resolution,[status(thm)],[376, 56])).
% 0.74/0.72 tff(378,plain,
% 0.74/0.72 (greater(mod2, low) <=> greater(mod2, low)),
% 0.74/0.72 inference(rewrite,[status(thm)],[])).
% 0.74/0.72 tff(379,axiom,(greater(mod2, low)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','assumption_18e')).
% 0.74/0.72 tff(380,plain,
% 0.74/0.72 (greater(mod2, low)),
% 0.74/0.72 inference(modus_ponens,[status(thm)],[379, 378])).
% 0.74/0.72 tff(381,plain,
% 0.74/0.72 (((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | ((~greater(low, very_low)) | greater(mod2, very_low) | (~greater(mod2, low)))) <=> ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (~greater(low, very_low)) | greater(mod2, very_low) | (~greater(mod2, low)))),
% 0.74/0.72 inference(rewrite,[status(thm)],[])).
% 0.74/0.72 tff(382,plain,
% 0.74/0.72 ((greater(mod2, very_low) | (~greater(low, very_low)) | (~greater(mod2, low))) <=> ((~greater(low, very_low)) | greater(mod2, very_low) | (~greater(mod2, low)))),
% 0.74/0.72 inference(rewrite,[status(thm)],[])).
% 0.74/0.72 tff(383,plain,
% 0.74/0.72 (((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (greater(mod2, very_low) | (~greater(low, very_low)) | (~greater(mod2, low)))) <=> ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | ((~greater(low, very_low)) | greater(mod2, very_low) | (~greater(mod2, low))))),
% 0.74/0.72 inference(monotonicity,[status(thm)],[382])).
% 0.74/0.72 tff(384,plain,
% 0.74/0.72 (((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (greater(mod2, very_low) | (~greater(low, very_low)) | (~greater(mod2, low)))) <=> ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (~greater(low, very_low)) | greater(mod2, very_low) | (~greater(mod2, low)))),
% 0.74/0.72 inference(transitivity,[status(thm)],[383, 381])).
% 0.74/0.72 tff(385,plain,
% 0.74/0.72 ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (greater(mod2, very_low) | (~greater(low, very_low)) | (~greater(mod2, low)))),
% 0.74/0.72 inference(quant_inst,[status(thm)],[])).
% 0.74/0.72 tff(386,plain,
% 0.74/0.72 ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (~greater(low, very_low)) | greater(mod2, very_low) | (~greater(mod2, low))),
% 0.74/0.73 inference(modus_ponens,[status(thm)],[385, 384])).
% 0.74/0.73 tff(387,plain,
% 0.74/0.73 (greater(mod2, very_low)),
% 0.74/0.73 inference(unit_resolution,[status(thm)],[386, 304, 359, 380])).
% 0.74/0.73 tff(388,plain,
% 0.74/0.73 ((~(smaller(very_low, mod2) <=> greater(mod2, very_low))) | smaller(very_low, mod2) | (~greater(mod2, very_low))),
% 0.74/0.73 inference(tautology,[status(thm)],[])).
% 0.74/0.73 tff(389,plain,
% 0.74/0.73 ((~(smaller(very_low, mod2) <=> greater(mod2, very_low))) | smaller(very_low, mod2)),
% 0.74/0.73 inference(unit_resolution,[status(thm)],[388, 387])).
% 0.74/0.73 tff(390,plain,
% 0.74/0.73 (smaller(very_low, mod2)),
% 0.74/0.73 inference(unit_resolution,[status(thm)],[389, 377])).
% 0.74/0.73 tff(391,plain,
% 0.74/0.73 (smaller(hazard_of_mortality(X!6, T1!4), hazard_of_mortality(X!6, T2!3))),
% 0.74/0.73 inference(modus_ponens,[status(thm)],[390, 375])).
% 0.74/0.73 tff(392,plain,
% 0.74/0.73 ($false),
% 0.74/0.73 inference(unit_resolution,[status(thm)],[243, 391])).
% 0.74/0.73 tff(393,plain,((~(hazard_of_mortality(X!6, T1!4) = very_low)) | smaller(hazard_of_mortality(X!6, T1!4), hazard_of_mortality(X!6, T2!3)) | (~(hazard_of_mortality(X!6, T2!3) = mod2))), inference(lemma,lemma(discharge,[]))).
% 0.74/0.73 tff(394,plain,
% 0.74/0.73 (~(hazard_of_mortality(X!6, T2!3) = mod2)),
% 0.74/0.73 inference(unit_resolution,[status(thm)],[393, 338, 243])).
% 0.74/0.73 tff(395,assumption,(~(hazard_of_mortality(X!6, T2!3) = high)), introduced(assumption)).
% 0.74/0.73 tff(396,assumption,(~((~((~positional_advantage(X!6, T2!3)) | (~is_aligned(X!6, T2!3)) | (hazard_of_mortality(X!6, T2!3) = low))) | (~((~positional_advantage(X!6, T2!3)) | is_aligned(X!6, T2!3) | (hazard_of_mortality(X!6, T2!3) = mod1))) | (~(positional_advantage(X!6, T2!3) | (~is_aligned(X!6, T2!3)) | (hazard_of_mortality(X!6, T2!3) = mod2))) | (~(is_aligned(X!6, T2!3) | positional_advantage(X!6, T2!3) | (hazard_of_mortality(X!6, T2!3) = high))))), introduced(assumption)).
% 0.74/0.73 tff(397,plain,
% 0.74/0.73 (is_aligned(X!6, T2!3) | positional_advantage(X!6, T2!3) | (hazard_of_mortality(X!6, T2!3) = high)),
% 0.74/0.73 inference(unit_resolution,[status(thm)],[202, 396])).
% 0.74/0.73 tff(398,assumption,(~(hazard_of_mortality(X!6, T2!3) = mod2)), introduced(assumption)).
% 0.74/0.73 tff(399,plain,
% 0.74/0.73 (((~((~positional_advantage(X!6, T2!3)) | (~is_aligned(X!6, T2!3)) | (hazard_of_mortality(X!6, T2!3) = low))) | (~((~positional_advantage(X!6, T2!3)) | is_aligned(X!6, T2!3) | (hazard_of_mortality(X!6, T2!3) = mod1))) | (~(positional_advantage(X!6, T2!3) | (~is_aligned(X!6, T2!3)) | (hazard_of_mortality(X!6, T2!3) = mod2))) | (~(is_aligned(X!6, T2!3) | positional_advantage(X!6, T2!3) | (hazard_of_mortality(X!6, T2!3) = high)))) | (positional_advantage(X!6, T2!3) | (~is_aligned(X!6, T2!3)) | (hazard_of_mortality(X!6, T2!3) = mod2))),
% 0.74/0.73 inference(tautology,[status(thm)],[])).
% 0.74/0.73 tff(400,plain,
% 0.74/0.73 (positional_advantage(X!6, T2!3) | (~is_aligned(X!6, T2!3)) | (hazard_of_mortality(X!6, T2!3) = mod2)),
% 0.74/0.73 inference(unit_resolution,[status(thm)],[399, 396])).
% 0.74/0.73 tff(401,plain,
% 0.74/0.73 ((~(positional_advantage(X!6, T2!3) | (~is_aligned(X!6, T2!3)) | (hazard_of_mortality(X!6, T2!3) = mod2))) | positional_advantage(X!6, T2!3) | (~is_aligned(X!6, T2!3)) | (hazard_of_mortality(X!6, T2!3) = mod2)),
% 0.74/0.73 inference(tautology,[status(thm)],[])).
% 0.74/0.73 tff(402,plain,
% 0.74/0.73 ((~(positional_advantage(X!6, T2!3) | (~is_aligned(X!6, T2!3)) | (hazard_of_mortality(X!6, T2!3) = mod2))) | (~is_aligned(X!6, T2!3)) | (hazard_of_mortality(X!6, T2!3) = mod2)),
% 0.74/0.73 inference(unit_resolution,[status(thm)],[401, 238])).
% 0.74/0.73 tff(403,plain,
% 0.74/0.73 (~is_aligned(X!6, T2!3)),
% 0.74/0.73 inference(unit_resolution,[status(thm)],[402, 400, 398])).
% 0.74/0.73 tff(404,plain,
% 0.74/0.73 ($false),
% 0.74/0.73 inference(unit_resolution,[status(thm)],[240, 403, 397, 395])).
% 0.74/0.73 tff(405,plain,(((~((~positional_advantage(X!6, T2!3)) | (~is_aligned(X!6, T2!3)) | (hazard_of_mortality(X!6, T2!3) = low))) | (~((~positional_advantage(X!6, T2!3)) | is_aligned(X!6, T2!3) | (hazard_of_mortality(X!6, T2!3) = mod1))) | (~(positional_advantage(X!6, T2!3) | (~is_aligned(X!6, T2!3)) | (hazard_of_mortality(X!6, T2!3) = mod2))) | (~(is_aligned(X!6, T2!3) | positional_advantage(X!6, T2!3) | (hazard_of_mortality(X!6, T2!3) = high)))) | (hazard_of_mortality(X!6, T2!3) = high) | (hazard_of_mortality(X!6, T2!3) = mod2)), inference(lemma,lemma(discharge,[]))).
% 0.74/0.73 tff(406,plain,
% 0.74/0.73 ((hazard_of_mortality(X!6, T2!3) = high) | (hazard_of_mortality(X!6, T2!3) = mod2)),
% 0.74/0.73 inference(unit_resolution,[status(thm)],[405, 201])).
% 0.74/0.73 tff(407,plain,
% 0.74/0.73 ($false),
% 0.74/0.73 inference(unit_resolution,[status(thm)],[406, 394, 372])).
% 0.74/0.73 tff(408,plain,((~(hazard_of_mortality(X!6, T1!4) = very_low)) | smaller(hazard_of_mortality(X!6, T1!4), hazard_of_mortality(X!6, T2!3))), inference(lemma,lemma(discharge,[]))).
% 0.74/0.73 tff(409,plain,
% 0.74/0.73 (~(hazard_of_mortality(X!6, T1!4) = very_low)),
% 0.74/0.73 inference(unit_resolution,[status(thm)],[408, 243])).
% 0.74/0.73 tff(410,plain,
% 0.74/0.73 (((~![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!6)) | (~((~((~has_immunity(X!6, T1!4)) | (hazard_of_mortality(X!6, T1!4) = very_low))) | (~(has_immunity(X!6, T1!4) | (~((~((~positional_advantage(X!6, T1!4)) | (~is_aligned(X!6, T1!4)) | (hazard_of_mortality(X!6, T1!4) = low))) | (~((~positional_advantage(X!6, T1!4)) | is_aligned(X!6, T1!4) | (hazard_of_mortality(X!6, T1!4) = mod1))) | (~(positional_advantage(X!6, T1!4) | (~is_aligned(X!6, T1!4)) | (hazard_of_mortality(X!6, T1!4) = mod2))) | (~(is_aligned(X!6, T1!4) | positional_advantage(X!6, T1!4) | (hazard_of_mortality(X!6, T1!4) = 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!6)) | (~((~((~has_immunity(X!6, T1!4)) | (hazard_of_mortality(X!6, T1!4) = very_low))) | (~(has_immunity(X!6, T1!4) | (~((~((~positional_advantage(X!6, T1!4)) | (~is_aligned(X!6, T1!4)) | (hazard_of_mortality(X!6, T1!4) = low))) | (~((~positional_advantage(X!6, T1!4)) | is_aligned(X!6, T1!4) | (hazard_of_mortality(X!6, T1!4) = mod1))) | (~(positional_advantage(X!6, T1!4) | (~is_aligned(X!6, T1!4)) | (hazard_of_mortality(X!6, T1!4) = mod2))) | (~(is_aligned(X!6, T1!4) | positional_advantage(X!6, T1!4) | (hazard_of_mortality(X!6, T1!4) = high))))))))))),
% 0.74/0.73 inference(rewrite,[status(thm)],[])).
% 0.74/0.73 tff(411,plain,
% 0.74/0.73 (((~organization(X!6)) | (~((~((~has_immunity(X!6, T1!4)) | (hazard_of_mortality(X!6, T1!4) = very_low))) | (~(has_immunity(X!6, T1!4) | (~((~((~positional_advantage(X!6, T1!4)) | (~is_aligned(X!6, T1!4)) | (hazard_of_mortality(X!6, T1!4) = low))) | (~((~positional_advantage(X!6, T1!4)) | is_aligned(X!6, T1!4) | (hazard_of_mortality(X!6, T1!4) = mod1))) | (~(positional_advantage(X!6, T1!4) | (~is_aligned(X!6, T1!4)) | (hazard_of_mortality(X!6, T1!4) = mod2))) | (~(positional_advantage(X!6, T1!4) | is_aligned(X!6, T1!4) | (hazard_of_mortality(X!6, T1!4) = high)))))))))) <=> ((~organization(X!6)) | (~((~((~has_immunity(X!6, T1!4)) | (hazard_of_mortality(X!6, T1!4) = very_low))) | (~(has_immunity(X!6, T1!4) | (~((~((~positional_advantage(X!6, T1!4)) | (~is_aligned(X!6, T1!4)) | (hazard_of_mortality(X!6, T1!4) = low))) | (~((~positional_advantage(X!6, T1!4)) | is_aligned(X!6, T1!4) | (hazard_of_mortality(X!6, T1!4) = mod1))) | (~(positional_advantage(X!6, T1!4) | (~is_aligned(X!6, T1!4)) | (hazard_of_mortality(X!6, T1!4) = mod2))) | (~(is_aligned(X!6, T1!4) | positional_advantage(X!6, T1!4) | (hazard_of_mortality(X!6, T1!4) = high))))))))))),
% 0.74/0.73 inference(rewrite,[status(thm)],[])).
% 0.74/0.73 tff(412,plain,
% 0.74/0.73 (((~![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!6)) | (~((~((~has_immunity(X!6, T1!4)) | (hazard_of_mortality(X!6, T1!4) = very_low))) | (~(has_immunity(X!6, T1!4) | (~((~((~positional_advantage(X!6, T1!4)) | (~is_aligned(X!6, T1!4)) | (hazard_of_mortality(X!6, T1!4) = low))) | (~((~positional_advantage(X!6, T1!4)) | is_aligned(X!6, T1!4) | (hazard_of_mortality(X!6, T1!4) = mod1))) | (~(positional_advantage(X!6, T1!4) | (~is_aligned(X!6, T1!4)) | (hazard_of_mortality(X!6, T1!4) = mod2))) | (~(positional_advantage(X!6, T1!4) | is_aligned(X!6, T1!4) | (hazard_of_mortality(X!6, T1!4) = 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!6)) | (~((~((~has_immunity(X!6, T1!4)) | (hazard_of_mortality(X!6, T1!4) = very_low))) | (~(has_immunity(X!6, T1!4) | (~((~((~positional_advantage(X!6, T1!4)) | (~is_aligned(X!6, T1!4)) | (hazard_of_mortality(X!6, T1!4) = low))) | (~((~positional_advantage(X!6, T1!4)) | is_aligned(X!6, T1!4) | (hazard_of_mortality(X!6, T1!4) = mod1))) | (~(positional_advantage(X!6, T1!4) | (~is_aligned(X!6, T1!4)) | (hazard_of_mortality(X!6, T1!4) = mod2))) | (~(is_aligned(X!6, T1!4) | positional_advantage(X!6, T1!4) | (hazard_of_mortality(X!6, T1!4) = high)))))))))))),
% 0.74/0.73 inference(monotonicity,[status(thm)],[411])).
% 0.74/0.73 tff(413,plain,
% 0.74/0.73 (((~![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!6)) | (~((~((~has_immunity(X!6, T1!4)) | (hazard_of_mortality(X!6, T1!4) = very_low))) | (~(has_immunity(X!6, T1!4) | (~((~((~positional_advantage(X!6, T1!4)) | (~is_aligned(X!6, T1!4)) | (hazard_of_mortality(X!6, T1!4) = low))) | (~((~positional_advantage(X!6, T1!4)) | is_aligned(X!6, T1!4) | (hazard_of_mortality(X!6, T1!4) = mod1))) | (~(positional_advantage(X!6, T1!4) | (~is_aligned(X!6, T1!4)) | (hazard_of_mortality(X!6, T1!4) = mod2))) | (~(positional_advantage(X!6, T1!4) | is_aligned(X!6, T1!4) | (hazard_of_mortality(X!6, T1!4) = 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!6)) | (~((~((~has_immunity(X!6, T1!4)) | (hazard_of_mortality(X!6, T1!4) = very_low))) | (~(has_immunity(X!6, T1!4) | (~((~((~positional_advantage(X!6, T1!4)) | (~is_aligned(X!6, T1!4)) | (hazard_of_mortality(X!6, T1!4) = low))) | (~((~positional_advantage(X!6, T1!4)) | is_aligned(X!6, T1!4) | (hazard_of_mortality(X!6, T1!4) = mod1))) | (~(positional_advantage(X!6, T1!4) | (~is_aligned(X!6, T1!4)) | (hazard_of_mortality(X!6, T1!4) = mod2))) | (~(is_aligned(X!6, T1!4) | positional_advantage(X!6, T1!4) | (hazard_of_mortality(X!6, T1!4) = high))))))))))),
% 0.74/0.73 inference(transitivity,[status(thm)],[412, 410])).
% 0.74/0.73 tff(414,plain,
% 0.74/0.73 ((~![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!6)) | (~((~((~has_immunity(X!6, T1!4)) | (hazard_of_mortality(X!6, T1!4) = very_low))) | (~(has_immunity(X!6, T1!4) | (~((~((~positional_advantage(X!6, T1!4)) | (~is_aligned(X!6, T1!4)) | (hazard_of_mortality(X!6, T1!4) = low))) | (~((~positional_advantage(X!6, T1!4)) | is_aligned(X!6, T1!4) | (hazard_of_mortality(X!6, T1!4) = mod1))) | (~(positional_advantage(X!6, T1!4) | (~is_aligned(X!6, T1!4)) | (hazard_of_mortality(X!6, T1!4) = mod2))) | (~(positional_advantage(X!6, T1!4) | is_aligned(X!6, T1!4) | (hazard_of_mortality(X!6, T1!4) = high))))))))))),
% 0.74/0.73 inference(quant_inst,[status(thm)],[])).
% 0.74/0.73 tff(415,plain,
% 0.74/0.73 ((~![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!6)) | (~((~((~has_immunity(X!6, T1!4)) | (hazard_of_mortality(X!6, T1!4) = very_low))) | (~(has_immunity(X!6, T1!4) | (~((~((~positional_advantage(X!6, T1!4)) | (~is_aligned(X!6, T1!4)) | (hazard_of_mortality(X!6, T1!4) = low))) | (~((~positional_advantage(X!6, T1!4)) | is_aligned(X!6, T1!4) | (hazard_of_mortality(X!6, T1!4) = mod1))) | (~(positional_advantage(X!6, T1!4) | (~is_aligned(X!6, T1!4)) | (hazard_of_mortality(X!6, T1!4) = mod2))) | (~(is_aligned(X!6, T1!4) | positional_advantage(X!6, T1!4) | (hazard_of_mortality(X!6, T1!4) = high)))))))))),
% 0.74/0.73 inference(modus_ponens,[status(thm)],[414, 413])).
% 0.74/0.73 tff(416,plain,
% 0.74/0.73 (~((~((~has_immunity(X!6, T1!4)) | (hazard_of_mortality(X!6, T1!4) = very_low))) | (~(has_immunity(X!6, T1!4) | (~((~((~positional_advantage(X!6, T1!4)) | (~is_aligned(X!6, T1!4)) | (hazard_of_mortality(X!6, T1!4) = low))) | (~((~positional_advantage(X!6, T1!4)) | is_aligned(X!6, T1!4) | (hazard_of_mortality(X!6, T1!4) = mod1))) | (~(positional_advantage(X!6, T1!4) | (~is_aligned(X!6, T1!4)) | (hazard_of_mortality(X!6, T1!4) = mod2))) | (~(is_aligned(X!6, T1!4) | positional_advantage(X!6, T1!4) | (hazard_of_mortality(X!6, T1!4) = high))))))))),
% 0.74/0.73 inference(unit_resolution,[status(thm)],[415, 189, 29])).
% 0.74/0.73 tff(417,plain,
% 0.74/0.73 (((~((~has_immunity(X!6, T1!4)) | (hazard_of_mortality(X!6, T1!4) = very_low))) | (~(has_immunity(X!6, T1!4) | (~((~((~positional_advantage(X!6, T1!4)) | (~is_aligned(X!6, T1!4)) | (hazard_of_mortality(X!6, T1!4) = low))) | (~((~positional_advantage(X!6, T1!4)) | is_aligned(X!6, T1!4) | (hazard_of_mortality(X!6, T1!4) = mod1))) | (~(positional_advantage(X!6, T1!4) | (~is_aligned(X!6, T1!4)) | (hazard_of_mortality(X!6, T1!4) = mod2))) | (~(is_aligned(X!6, T1!4) | positional_advantage(X!6, T1!4) | (hazard_of_mortality(X!6, T1!4) = high)))))))) | ((~has_immunity(X!6, T1!4)) | (hazard_of_mortality(X!6, T1!4) = very_low))),
% 0.74/0.73 inference(tautology,[status(thm)],[])).
% 0.74/0.73 tff(418,plain,
% 0.74/0.73 ((~has_immunity(X!6, T1!4)) | (hazard_of_mortality(X!6, T1!4) = very_low)),
% 0.74/0.73 inference(unit_resolution,[status(thm)],[417, 416])).
% 0.74/0.73 tff(419,plain,
% 0.74/0.73 ((~((~has_immunity(X!6, T1!4)) | (hazard_of_mortality(X!6, T1!4) = very_low))) | (~has_immunity(X!6, T1!4)) | (hazard_of_mortality(X!6, T1!4) = very_low)),
% 0.74/0.73 inference(tautology,[status(thm)],[])).
% 0.74/0.73 tff(420,plain,
% 0.74/0.73 ((~has_immunity(X!6, T1!4)) | (hazard_of_mortality(X!6, T1!4) = very_low)),
% 0.74/0.73 inference(unit_resolution,[status(thm)],[419, 418])).
% 0.74/0.73 tff(421,plain,
% 0.74/0.73 (~has_immunity(X!6, T1!4)),
% 0.74/0.73 inference(unit_resolution,[status(thm)],[420, 409])).
% 0.74/0.73 tff(422,plain,
% 0.74/0.73 (((~((~has_immunity(X!6, T1!4)) | (hazard_of_mortality(X!6, T1!4) = very_low))) | (~(has_immunity(X!6, T1!4) | (~((~((~positional_advantage(X!6, T1!4)) | (~is_aligned(X!6, T1!4)) | (hazard_of_mortality(X!6, T1!4) = low))) | (~((~positional_advantage(X!6, T1!4)) | is_aligned(X!6, T1!4) | (hazard_of_mortality(X!6, T1!4) = mod1))) | (~(positional_advantage(X!6, T1!4) | (~is_aligned(X!6, T1!4)) | (hazard_of_mortality(X!6, T1!4) = mod2))) | (~(is_aligned(X!6, T1!4) | positional_advantage(X!6, T1!4) | (hazard_of_mortality(X!6, T1!4) = high)))))))) | (has_immunity(X!6, T1!4) | (~((~((~positional_advantage(X!6, T1!4)) | (~is_aligned(X!6, T1!4)) | (hazard_of_mortality(X!6, T1!4) = low))) | (~((~positional_advantage(X!6, T1!4)) | is_aligned(X!6, T1!4) | (hazard_of_mortality(X!6, T1!4) = mod1))) | (~(positional_advantage(X!6, T1!4) | (~is_aligned(X!6, T1!4)) | (hazard_of_mortality(X!6, T1!4) = mod2))) | (~(is_aligned(X!6, T1!4) | positional_advantage(X!6, T1!4) | (hazard_of_mortality(X!6, T1!4) = high))))))),
% 0.74/0.73 inference(tautology,[status(thm)],[])).
% 0.74/0.73 tff(423,plain,
% 0.74/0.73 (has_immunity(X!6, T1!4) | (~((~((~positional_advantage(X!6, T1!4)) | (~is_aligned(X!6, T1!4)) | (hazard_of_mortality(X!6, T1!4) = low))) | (~((~positional_advantage(X!6, T1!4)) | is_aligned(X!6, T1!4) | (hazard_of_mortality(X!6, T1!4) = mod1))) | (~(positional_advantage(X!6, T1!4) | (~is_aligned(X!6, T1!4)) | (hazard_of_mortality(X!6, T1!4) = mod2))) | (~(is_aligned(X!6, T1!4) | positional_advantage(X!6, T1!4) | (hazard_of_mortality(X!6, T1!4) = high)))))),
% 0.74/0.73 inference(unit_resolution,[status(thm)],[422, 416])).
% 0.74/0.73 tff(424,plain,
% 0.74/0.73 ((~(has_immunity(X!6, T1!4) | (~((~((~positional_advantage(X!6, T1!4)) | (~is_aligned(X!6, T1!4)) | (hazard_of_mortality(X!6, T1!4) = low))) | (~((~positional_advantage(X!6, T1!4)) | is_aligned(X!6, T1!4) | (hazard_of_mortality(X!6, T1!4) = mod1))) | (~(positional_advantage(X!6, T1!4) | (~is_aligned(X!6, T1!4)) | (hazard_of_mortality(X!6, T1!4) = mod2))) | (~(is_aligned(X!6, T1!4) | positional_advantage(X!6, T1!4) | (hazard_of_mortality(X!6, T1!4) = high))))))) | has_immunity(X!6, T1!4) | (~((~((~positional_advantage(X!6, T1!4)) | (~is_aligned(X!6, T1!4)) | (hazard_of_mortality(X!6, T1!4) = low))) | (~((~positional_advantage(X!6, T1!4)) | is_aligned(X!6, T1!4) | (hazard_of_mortality(X!6, T1!4) = mod1))) | (~(positional_advantage(X!6, T1!4) | (~is_aligned(X!6, T1!4)) | (hazard_of_mortality(X!6, T1!4) = mod2))) | (~(is_aligned(X!6, T1!4) | positional_advantage(X!6, T1!4) | (hazard_of_mortality(X!6, T1!4) = high)))))),
% 0.74/0.73 inference(tautology,[status(thm)],[])).
% 0.74/0.73 tff(425,plain,
% 0.74/0.73 (has_immunity(X!6, T1!4) | (~((~((~positional_advantage(X!6, T1!4)) | (~is_aligned(X!6, T1!4)) | (hazard_of_mortality(X!6, T1!4) = low))) | (~((~positional_advantage(X!6, T1!4)) | is_aligned(X!6, T1!4) | (hazard_of_mortality(X!6, T1!4) = mod1))) | (~(positional_advantage(X!6, T1!4) | (~is_aligned(X!6, T1!4)) | (hazard_of_mortality(X!6, T1!4) = mod2))) | (~(is_aligned(X!6, T1!4) | positional_advantage(X!6, T1!4) | (hazard_of_mortality(X!6, T1!4) = high)))))),
% 0.74/0.73 inference(unit_resolution,[status(thm)],[424, 423])).
% 0.74/0.73 tff(426,plain,
% 0.74/0.73 (~((~((~positional_advantage(X!6, T1!4)) | (~is_aligned(X!6, T1!4)) | (hazard_of_mortality(X!6, T1!4) = low))) | (~((~positional_advantage(X!6, T1!4)) | is_aligned(X!6, T1!4) | (hazard_of_mortality(X!6, T1!4) = mod1))) | (~(positional_advantage(X!6, T1!4) | (~is_aligned(X!6, T1!4)) | (hazard_of_mortality(X!6, T1!4) = mod2))) | (~(is_aligned(X!6, T1!4) | positional_advantage(X!6, T1!4) | (hazard_of_mortality(X!6, T1!4) = high))))),
% 0.74/0.74 inference(unit_resolution,[status(thm)],[425, 421])).
% 0.74/0.74 tff(427,plain,
% 0.74/0.74 (((~((~positional_advantage(X!6, T1!4)) | (~is_aligned(X!6, T1!4)) | (hazard_of_mortality(X!6, T1!4) = low))) | (~((~positional_advantage(X!6, T1!4)) | is_aligned(X!6, T1!4) | (hazard_of_mortality(X!6, T1!4) = mod1))) | (~(positional_advantage(X!6, T1!4) | (~is_aligned(X!6, T1!4)) | (hazard_of_mortality(X!6, T1!4) = mod2))) | (~(is_aligned(X!6, T1!4) | positional_advantage(X!6, T1!4) | (hazard_of_mortality(X!6, T1!4) = high)))) | (positional_advantage(X!6, T1!4) | (~is_aligned(X!6, T1!4)) | (hazard_of_mortality(X!6, T1!4) = mod2))),
% 0.74/0.74 inference(tautology,[status(thm)],[])).
% 0.74/0.74 tff(428,plain,
% 0.74/0.74 ($false),
% 0.74/0.74 inference(unit_resolution,[status(thm)],[427, 426, 337])).
% 0.74/0.74 tff(429,plain,(smaller(hazard_of_mortality(X!6, T1!4), hazard_of_mortality(X!6, T2!3))), inference(lemma,lemma(discharge,[]))).
% 0.74/0.74 tff(430,assumption,(has_immunity(X!6, T1!4)), introduced(assumption)).
% 0.74/0.74 tff(431,plain,
% 0.74/0.74 (((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | (has_endowment(X!6) | (~organization(X!6)) | (~has_immunity(X!6, T1!4)))) <=> ((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | has_endowment(X!6) | (~organization(X!6)) | (~has_immunity(X!6, T1!4)))),
% 0.74/0.74 inference(rewrite,[status(thm)],[])).
% 0.74/0.74 tff(432,plain,
% 0.74/0.74 (((~has_immunity(X!6, T1!4)) | has_endowment(X!6) | (~organization(X!6))) <=> (has_endowment(X!6) | (~organization(X!6)) | (~has_immunity(X!6, T1!4)))),
% 0.74/0.74 inference(rewrite,[status(thm)],[])).
% 0.74/0.74 tff(433,plain,
% 0.74/0.74 (((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | ((~has_immunity(X!6, T1!4)) | has_endowment(X!6) | (~organization(X!6)))) <=> ((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | (has_endowment(X!6) | (~organization(X!6)) | (~has_immunity(X!6, T1!4))))),
% 0.74/0.74 inference(monotonicity,[status(thm)],[432])).
% 0.74/0.74 tff(434,plain,
% 0.74/0.74 (((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | ((~has_immunity(X!6, T1!4)) | has_endowment(X!6) | (~organization(X!6)))) <=> ((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | has_endowment(X!6) | (~organization(X!6)) | (~has_immunity(X!6, T1!4)))),
% 0.74/0.74 inference(transitivity,[status(thm)],[433, 431])).
% 0.74/0.74 tff(435,plain,
% 0.74/0.74 ((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | ((~has_immunity(X!6, T1!4)) | has_endowment(X!6) | (~organization(X!6)))),
% 0.74/0.74 inference(quant_inst,[status(thm)],[])).
% 0.74/0.74 tff(436,plain,
% 0.74/0.74 ((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | has_endowment(X!6) | (~organization(X!6)) | (~has_immunity(X!6, T1!4))),
% 0.74/0.74 inference(modus_ponens,[status(thm)],[435, 434])).
% 0.74/0.74 tff(437,plain,
% 0.74/0.74 ($false),
% 0.74/0.74 inference(unit_resolution,[status(thm)],[436, 168, 29, 155, 430])).
% 0.74/0.74 tff(438,plain,(~has_immunity(X!6, T1!4)), inference(lemma,lemma(discharge,[]))).
% 0.74/0.74 tff(439,plain,
% 0.74/0.74 (~((~((~positional_advantage(X!6, T1!4)) | (~is_aligned(X!6, T1!4)) | (hazard_of_mortality(X!6, T1!4) = low))) | (~((~positional_advantage(X!6, T1!4)) | is_aligned(X!6, T1!4) | (hazard_of_mortality(X!6, T1!4) = mod1))) | (~(positional_advantage(X!6, T1!4) | (~is_aligned(X!6, T1!4)) | (hazard_of_mortality(X!6, T1!4) = mod2))) | (~(is_aligned(X!6, T1!4) | positional_advantage(X!6, T1!4) | (hazard_of_mortality(X!6, T1!4) = high))))),
% 0.74/0.74 inference(unit_resolution,[status(thm)],[425, 438])).
% 0.74/0.74 tff(440,plain,
% 0.74/0.74 (positional_advantage(X!6, T1!4) | (~is_aligned(X!6, T1!4)) | (hazard_of_mortality(X!6, T1!4) = mod2)),
% 0.74/0.74 inference(unit_resolution,[status(thm)],[427, 439])).
% 0.74/0.74 tff(441,plain,
% 0.74/0.74 (hazard_of_mortality(X!6, T1!4) = mod2),
% 0.74/0.74 inference(unit_resolution,[status(thm)],[336, 440, 132])).
% 0.74/0.74 tff(442,assumption,(has_immunity(X!6, T0!5)), introduced(assumption)).
% 0.74/0.74 tff(443,plain,
% 0.74/0.74 (((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | (has_endowment(X!6) | (~organization(X!6)) | (~has_immunity(X!6, T0!5)))) <=> ((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | has_endowment(X!6) | (~organization(X!6)) | (~has_immunity(X!6, T0!5)))),
% 0.74/0.74 inference(rewrite,[status(thm)],[])).
% 0.74/0.74 tff(444,plain,
% 0.74/0.74 (((~has_immunity(X!6, T0!5)) | has_endowment(X!6) | (~organization(X!6))) <=> (has_endowment(X!6) | (~organization(X!6)) | (~has_immunity(X!6, T0!5)))),
% 0.74/0.74 inference(rewrite,[status(thm)],[])).
% 0.74/0.74 tff(445,plain,
% 0.74/0.74 (((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | ((~has_immunity(X!6, T0!5)) | has_endowment(X!6) | (~organization(X!6)))) <=> ((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | (has_endowment(X!6) | (~organization(X!6)) | (~has_immunity(X!6, T0!5))))),
% 0.74/0.74 inference(monotonicity,[status(thm)],[444])).
% 0.74/0.74 tff(446,plain,
% 0.74/0.74 (((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | ((~has_immunity(X!6, T0!5)) | has_endowment(X!6) | (~organization(X!6)))) <=> ((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | has_endowment(X!6) | (~organization(X!6)) | (~has_immunity(X!6, T0!5)))),
% 0.74/0.74 inference(transitivity,[status(thm)],[445, 443])).
% 0.74/0.74 tff(447,plain,
% 0.74/0.74 ((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | ((~has_immunity(X!6, T0!5)) | has_endowment(X!6) | (~organization(X!6)))),
% 0.74/0.74 inference(quant_inst,[status(thm)],[])).
% 0.74/0.74 tff(448,plain,
% 0.74/0.74 ((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | has_endowment(X!6) | (~organization(X!6)) | (~has_immunity(X!6, T0!5))),
% 0.74/0.74 inference(modus_ponens,[status(thm)],[447, 446])).
% 0.74/0.74 tff(449,plain,
% 0.74/0.74 ($false),
% 0.74/0.74 inference(unit_resolution,[status(thm)],[448, 168, 29, 155, 442])).
% 0.74/0.74 tff(450,plain,(~has_immunity(X!6, T0!5)), inference(lemma,lemma(discharge,[]))).
% 0.74/0.74 tff(451,plain,
% 0.74/0.74 (((~![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!6)) | (~((~((~has_immunity(X!6, T0!5)) | (hazard_of_mortality(X!6, T0!5) = very_low))) | (~(has_immunity(X!6, T0!5) | (~((~((~positional_advantage(X!6, T0!5)) | (~is_aligned(X!6, T0!5)) | (hazard_of_mortality(X!6, T0!5) = low))) | (~((~positional_advantage(X!6, T0!5)) | is_aligned(X!6, T0!5) | (hazard_of_mortality(X!6, T0!5) = mod1))) | (~(positional_advantage(X!6, T0!5) | (~is_aligned(X!6, T0!5)) | (hazard_of_mortality(X!6, T0!5) = mod2))) | (~(is_aligned(X!6, T0!5) | positional_advantage(X!6, T0!5) | (hazard_of_mortality(X!6, T0!5) = 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!6)) | (~((~((~has_immunity(X!6, T0!5)) | (hazard_of_mortality(X!6, T0!5) = very_low))) | (~(has_immunity(X!6, T0!5) | (~((~((~positional_advantage(X!6, T0!5)) | (~is_aligned(X!6, T0!5)) | (hazard_of_mortality(X!6, T0!5) = low))) | (~((~positional_advantage(X!6, T0!5)) | is_aligned(X!6, T0!5) | (hazard_of_mortality(X!6, T0!5) = mod1))) | (~(positional_advantage(X!6, T0!5) | (~is_aligned(X!6, T0!5)) | (hazard_of_mortality(X!6, T0!5) = mod2))) | (~(is_aligned(X!6, T0!5) | positional_advantage(X!6, T0!5) | (hazard_of_mortality(X!6, T0!5) = high))))))))))),
% 0.74/0.74 inference(rewrite,[status(thm)],[])).
% 0.74/0.74 tff(452,plain,
% 0.74/0.74 (((~organization(X!6)) | (~((~((~has_immunity(X!6, T0!5)) | (hazard_of_mortality(X!6, T0!5) = very_low))) | (~(has_immunity(X!6, T0!5) | (~((~((~positional_advantage(X!6, T0!5)) | (~is_aligned(X!6, T0!5)) | (hazard_of_mortality(X!6, T0!5) = low))) | (~((~positional_advantage(X!6, T0!5)) | is_aligned(X!6, T0!5) | (hazard_of_mortality(X!6, T0!5) = mod1))) | (~(positional_advantage(X!6, T0!5) | (~is_aligned(X!6, T0!5)) | (hazard_of_mortality(X!6, T0!5) = mod2))) | (~(positional_advantage(X!6, T0!5) | is_aligned(X!6, T0!5) | (hazard_of_mortality(X!6, T0!5) = high)))))))))) <=> ((~organization(X!6)) | (~((~((~has_immunity(X!6, T0!5)) | (hazard_of_mortality(X!6, T0!5) = very_low))) | (~(has_immunity(X!6, T0!5) | (~((~((~positional_advantage(X!6, T0!5)) | (~is_aligned(X!6, T0!5)) | (hazard_of_mortality(X!6, T0!5) = low))) | (~((~positional_advantage(X!6, T0!5)) | is_aligned(X!6, T0!5) | (hazard_of_mortality(X!6, T0!5) = mod1))) | (~(positional_advantage(X!6, T0!5) | (~is_aligned(X!6, T0!5)) | (hazard_of_mortality(X!6, T0!5) = mod2))) | (~(is_aligned(X!6, T0!5) | positional_advantage(X!6, T0!5) | (hazard_of_mortality(X!6, T0!5) = high))))))))))),
% 0.74/0.74 inference(rewrite,[status(thm)],[])).
% 0.74/0.74 tff(453,plain,
% 0.74/0.74 (((~![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!6)) | (~((~((~has_immunity(X!6, T0!5)) | (hazard_of_mortality(X!6, T0!5) = very_low))) | (~(has_immunity(X!6, T0!5) | (~((~((~positional_advantage(X!6, T0!5)) | (~is_aligned(X!6, T0!5)) | (hazard_of_mortality(X!6, T0!5) = low))) | (~((~positional_advantage(X!6, T0!5)) | is_aligned(X!6, T0!5) | (hazard_of_mortality(X!6, T0!5) = mod1))) | (~(positional_advantage(X!6, T0!5) | (~is_aligned(X!6, T0!5)) | (hazard_of_mortality(X!6, T0!5) = mod2))) | (~(positional_advantage(X!6, T0!5) | is_aligned(X!6, T0!5) | (hazard_of_mortality(X!6, T0!5) = 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!6)) | (~((~((~has_immunity(X!6, T0!5)) | (hazard_of_mortality(X!6, T0!5) = very_low))) | (~(has_immunity(X!6, T0!5) | (~((~((~positional_advantage(X!6, T0!5)) | (~is_aligned(X!6, T0!5)) | (hazard_of_mortality(X!6, T0!5) = low))) | (~((~positional_advantage(X!6, T0!5)) | is_aligned(X!6, T0!5) | (hazard_of_mortality(X!6, T0!5) = mod1))) | (~(positional_advantage(X!6, T0!5) | (~is_aligned(X!6, T0!5)) | (hazard_of_mortality(X!6, T0!5) = mod2))) | (~(is_aligned(X!6, T0!5) | positional_advantage(X!6, T0!5) | (hazard_of_mortality(X!6, T0!5) = high)))))))))))),
% 0.74/0.74 inference(monotonicity,[status(thm)],[452])).
% 0.74/0.74 tff(454,plain,
% 0.74/0.74 (((~![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!6)) | (~((~((~has_immunity(X!6, T0!5)) | (hazard_of_mortality(X!6, T0!5) = very_low))) | (~(has_immunity(X!6, T0!5) | (~((~((~positional_advantage(X!6, T0!5)) | (~is_aligned(X!6, T0!5)) | (hazard_of_mortality(X!6, T0!5) = low))) | (~((~positional_advantage(X!6, T0!5)) | is_aligned(X!6, T0!5) | (hazard_of_mortality(X!6, T0!5) = mod1))) | (~(positional_advantage(X!6, T0!5) | (~is_aligned(X!6, T0!5)) | (hazard_of_mortality(X!6, T0!5) = mod2))) | (~(positional_advantage(X!6, T0!5) | is_aligned(X!6, T0!5) | (hazard_of_mortality(X!6, T0!5) = 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!6)) | (~((~((~has_immunity(X!6, T0!5)) | (hazard_of_mortality(X!6, T0!5) = very_low))) | (~(has_immunity(X!6, T0!5) | (~((~((~positional_advantage(X!6, T0!5)) | (~is_aligned(X!6, T0!5)) | (hazard_of_mortality(X!6, T0!5) = low))) | (~((~positional_advantage(X!6, T0!5)) | is_aligned(X!6, T0!5) | (hazard_of_mortality(X!6, T0!5) = mod1))) | (~(positional_advantage(X!6, T0!5) | (~is_aligned(X!6, T0!5)) | (hazard_of_mortality(X!6, T0!5) = mod2))) | (~(is_aligned(X!6, T0!5) | positional_advantage(X!6, T0!5) | (hazard_of_mortality(X!6, T0!5) = high))))))))))),
% 0.74/0.74 inference(transitivity,[status(thm)],[453, 451])).
% 0.74/0.74 tff(455,plain,
% 0.74/0.74 ((~![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!6)) | (~((~((~has_immunity(X!6, T0!5)) | (hazard_of_mortality(X!6, T0!5) = very_low))) | (~(has_immunity(X!6, T0!5) | (~((~((~positional_advantage(X!6, T0!5)) | (~is_aligned(X!6, T0!5)) | (hazard_of_mortality(X!6, T0!5) = low))) | (~((~positional_advantage(X!6, T0!5)) | is_aligned(X!6, T0!5) | (hazard_of_mortality(X!6, T0!5) = mod1))) | (~(positional_advantage(X!6, T0!5) | (~is_aligned(X!6, T0!5)) | (hazard_of_mortality(X!6, T0!5) = mod2))) | (~(positional_advantage(X!6, T0!5) | is_aligned(X!6, T0!5) | (hazard_of_mortality(X!6, T0!5) = high))))))))))),
% 0.74/0.74 inference(quant_inst,[status(thm)],[])).
% 0.74/0.74 tff(456,plain,
% 0.74/0.74 ((~![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!6)) | (~((~((~has_immunity(X!6, T0!5)) | (hazard_of_mortality(X!6, T0!5) = very_low))) | (~(has_immunity(X!6, T0!5) | (~((~((~positional_advantage(X!6, T0!5)) | (~is_aligned(X!6, T0!5)) | (hazard_of_mortality(X!6, T0!5) = low))) | (~((~positional_advantage(X!6, T0!5)) | is_aligned(X!6, T0!5) | (hazard_of_mortality(X!6, T0!5) = mod1))) | (~(positional_advantage(X!6, T0!5) | (~is_aligned(X!6, T0!5)) | (hazard_of_mortality(X!6, T0!5) = mod2))) | (~(is_aligned(X!6, T0!5) | positional_advantage(X!6, T0!5) | (hazard_of_mortality(X!6, T0!5) = high)))))))))),
% 0.79/0.74 inference(modus_ponens,[status(thm)],[455, 454])).
% 0.79/0.74 tff(457,plain,
% 0.79/0.74 (~((~((~has_immunity(X!6, T0!5)) | (hazard_of_mortality(X!6, T0!5) = very_low))) | (~(has_immunity(X!6, T0!5) | (~((~((~positional_advantage(X!6, T0!5)) | (~is_aligned(X!6, T0!5)) | (hazard_of_mortality(X!6, T0!5) = low))) | (~((~positional_advantage(X!6, T0!5)) | is_aligned(X!6, T0!5) | (hazard_of_mortality(X!6, T0!5) = mod1))) | (~(positional_advantage(X!6, T0!5) | (~is_aligned(X!6, T0!5)) | (hazard_of_mortality(X!6, T0!5) = mod2))) | (~(is_aligned(X!6, T0!5) | positional_advantage(X!6, T0!5) | (hazard_of_mortality(X!6, T0!5) = high))))))))),
% 0.79/0.74 inference(unit_resolution,[status(thm)],[456, 189, 29])).
% 0.79/0.74 tff(458,plain,
% 0.79/0.74 (((~((~has_immunity(X!6, T0!5)) | (hazard_of_mortality(X!6, T0!5) = very_low))) | (~(has_immunity(X!6, T0!5) | (~((~((~positional_advantage(X!6, T0!5)) | (~is_aligned(X!6, T0!5)) | (hazard_of_mortality(X!6, T0!5) = low))) | (~((~positional_advantage(X!6, T0!5)) | is_aligned(X!6, T0!5) | (hazard_of_mortality(X!6, T0!5) = mod1))) | (~(positional_advantage(X!6, T0!5) | (~is_aligned(X!6, T0!5)) | (hazard_of_mortality(X!6, T0!5) = mod2))) | (~(is_aligned(X!6, T0!5) | positional_advantage(X!6, T0!5) | (hazard_of_mortality(X!6, T0!5) = high)))))))) | (has_immunity(X!6, T0!5) | (~((~((~positional_advantage(X!6, T0!5)) | (~is_aligned(X!6, T0!5)) | (hazard_of_mortality(X!6, T0!5) = low))) | (~((~positional_advantage(X!6, T0!5)) | is_aligned(X!6, T0!5) | (hazard_of_mortality(X!6, T0!5) = mod1))) | (~(positional_advantage(X!6, T0!5) | (~is_aligned(X!6, T0!5)) | (hazard_of_mortality(X!6, T0!5) = mod2))) | (~(is_aligned(X!6, T0!5) | positional_advantage(X!6, T0!5) | (hazard_of_mortality(X!6, T0!5) = high))))))),
% 0.79/0.74 inference(tautology,[status(thm)],[])).
% 0.79/0.74 tff(459,plain,
% 0.79/0.74 (has_immunity(X!6, T0!5) | (~((~((~positional_advantage(X!6, T0!5)) | (~is_aligned(X!6, T0!5)) | (hazard_of_mortality(X!6, T0!5) = low))) | (~((~positional_advantage(X!6, T0!5)) | is_aligned(X!6, T0!5) | (hazard_of_mortality(X!6, T0!5) = mod1))) | (~(positional_advantage(X!6, T0!5) | (~is_aligned(X!6, T0!5)) | (hazard_of_mortality(X!6, T0!5) = mod2))) | (~(is_aligned(X!6, T0!5) | positional_advantage(X!6, T0!5) | (hazard_of_mortality(X!6, T0!5) = high)))))),
% 0.79/0.74 inference(unit_resolution,[status(thm)],[458, 457])).
% 0.79/0.74 tff(460,plain,
% 0.79/0.74 ((~(has_immunity(X!6, T0!5) | (~((~((~positional_advantage(X!6, T0!5)) | (~is_aligned(X!6, T0!5)) | (hazard_of_mortality(X!6, T0!5) = low))) | (~((~positional_advantage(X!6, T0!5)) | is_aligned(X!6, T0!5) | (hazard_of_mortality(X!6, T0!5) = mod1))) | (~(positional_advantage(X!6, T0!5) | (~is_aligned(X!6, T0!5)) | (hazard_of_mortality(X!6, T0!5) = mod2))) | (~(is_aligned(X!6, T0!5) | positional_advantage(X!6, T0!5) | (hazard_of_mortality(X!6, T0!5) = high))))))) | has_immunity(X!6, T0!5) | (~((~((~positional_advantage(X!6, T0!5)) | (~is_aligned(X!6, T0!5)) | (hazard_of_mortality(X!6, T0!5) = low))) | (~((~positional_advantage(X!6, T0!5)) | is_aligned(X!6, T0!5) | (hazard_of_mortality(X!6, T0!5) = mod1))) | (~(positional_advantage(X!6, T0!5) | (~is_aligned(X!6, T0!5)) | (hazard_of_mortality(X!6, T0!5) = mod2))) | (~(is_aligned(X!6, T0!5) | positional_advantage(X!6, T0!5) | (hazard_of_mortality(X!6, T0!5) = high)))))),
% 0.79/0.74 inference(tautology,[status(thm)],[])).
% 0.79/0.74 tff(461,plain,
% 0.79/0.74 (has_immunity(X!6, T0!5) | (~((~((~positional_advantage(X!6, T0!5)) | (~is_aligned(X!6, T0!5)) | (hazard_of_mortality(X!6, T0!5) = low))) | (~((~positional_advantage(X!6, T0!5)) | is_aligned(X!6, T0!5) | (hazard_of_mortality(X!6, T0!5) = mod1))) | (~(positional_advantage(X!6, T0!5) | (~is_aligned(X!6, T0!5)) | (hazard_of_mortality(X!6, T0!5) = mod2))) | (~(is_aligned(X!6, T0!5) | positional_advantage(X!6, T0!5) | (hazard_of_mortality(X!6, T0!5) = high)))))),
% 0.79/0.74 inference(unit_resolution,[status(thm)],[460, 459])).
% 0.79/0.74 tff(462,plain,
% 0.79/0.74 (~((~((~positional_advantage(X!6, T0!5)) | (~is_aligned(X!6, T0!5)) | (hazard_of_mortality(X!6, T0!5) = low))) | (~((~positional_advantage(X!6, T0!5)) | is_aligned(X!6, T0!5) | (hazard_of_mortality(X!6, T0!5) = mod1))) | (~(positional_advantage(X!6, T0!5) | (~is_aligned(X!6, T0!5)) | (hazard_of_mortality(X!6, T0!5) = mod2))) | (~(is_aligned(X!6, T0!5) | positional_advantage(X!6, T0!5) | (hazard_of_mortality(X!6, T0!5) = high))))),
% 0.79/0.75 inference(unit_resolution,[status(thm)],[461, 450])).
% 0.79/0.75 tff(463,plain,
% 0.79/0.75 (((~((~positional_advantage(X!6, T0!5)) | (~is_aligned(X!6, T0!5)) | (hazard_of_mortality(X!6, T0!5) = low))) | (~((~positional_advantage(X!6, T0!5)) | is_aligned(X!6, T0!5) | (hazard_of_mortality(X!6, T0!5) = mod1))) | (~(positional_advantage(X!6, T0!5) | (~is_aligned(X!6, T0!5)) | (hazard_of_mortality(X!6, T0!5) = mod2))) | (~(is_aligned(X!6, T0!5) | positional_advantage(X!6, T0!5) | (hazard_of_mortality(X!6, T0!5) = high)))) | (positional_advantage(X!6, T0!5) | (~is_aligned(X!6, T0!5)) | (hazard_of_mortality(X!6, T0!5) = mod2))),
% 0.79/0.75 inference(tautology,[status(thm)],[])).
% 0.79/0.75 tff(464,plain,
% 0.79/0.75 (positional_advantage(X!6, T0!5) | (~is_aligned(X!6, T0!5)) | (hazard_of_mortality(X!6, T0!5) = mod2)),
% 0.79/0.75 inference(unit_resolution,[status(thm)],[463, 462])).
% 0.79/0.75 tff(465,plain,
% 0.79/0.75 ((~![T: $i] : (~((~((~positional_advantage(X!6, T)) | (~smaller_or_equal(age(X!6, T), tau)))) | (~((~greater(age(X!6, T), tau)) | positional_advantage(X!6, T)))))) | (~((~((~positional_advantage(X!6, T0!5)) | (~smaller_or_equal(age(X!6, T0!5), tau)))) | (~((~greater(age(X!6, T0!5), tau)) | positional_advantage(X!6, T0!5)))))),
% 0.79/0.75 inference(quant_inst,[status(thm)],[])).
% 0.79/0.75 tff(466,plain,
% 0.79/0.75 (~((~((~positional_advantage(X!6, T0!5)) | (~smaller_or_equal(age(X!6, T0!5), tau)))) | (~((~greater(age(X!6, T0!5), tau)) | positional_advantage(X!6, T0!5))))),
% 0.79/0.75 inference(unit_resolution,[status(thm)],[465, 230])).
% 0.79/0.75 tff(467,plain,
% 0.79/0.75 (((~((~positional_advantage(X!6, T0!5)) | (~smaller_or_equal(age(X!6, T0!5), tau)))) | (~((~greater(age(X!6, T0!5), tau)) | positional_advantage(X!6, T0!5)))) | ((~positional_advantage(X!6, T0!5)) | (~smaller_or_equal(age(X!6, T0!5), tau)))),
% 0.79/0.75 inference(tautology,[status(thm)],[])).
% 0.79/0.75 tff(468,plain,
% 0.79/0.75 ((~positional_advantage(X!6, T0!5)) | (~smaller_or_equal(age(X!6, T0!5), tau))),
% 0.79/0.75 inference(unit_resolution,[status(thm)],[467, 466])).
% 0.79/0.75 tff(469,plain,
% 0.79/0.75 (smaller_or_equal(age(X!6, T0!5), tau) <=> smaller_or_equal(zero, tau)),
% 0.79/0.75 inference(monotonicity,[status(thm)],[28])).
% 0.79/0.75 tff(470,plain,
% 0.79/0.75 (smaller_or_equal(zero, tau) <=> smaller_or_equal(age(X!6, T0!5), tau)),
% 0.79/0.75 inference(symmetry,[status(thm)],[469])).
% 0.79/0.75 tff(471,plain,
% 0.79/0.75 ((~![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))) | (smaller_or_equal(zero, tau) <=> ((zero = tau) | smaller(zero, tau)))),
% 0.79/0.75 inference(quant_inst,[status(thm)],[])).
% 0.79/0.75 tff(472,plain,
% 0.79/0.75 (smaller_or_equal(zero, tau) <=> ((zero = tau) | smaller(zero, tau))),
% 0.79/0.75 inference(unit_resolution,[status(thm)],[471, 87])).
% 0.79/0.75 tff(473,plain,
% 0.79/0.75 ((~![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))) | (smaller(zero, tau) <=> greater(tau, zero))),
% 0.79/0.75 inference(quant_inst,[status(thm)],[])).
% 0.79/0.75 tff(474,plain,
% 0.79/0.75 (smaller(zero, tau) <=> greater(tau, zero)),
% 0.79/0.75 inference(unit_resolution,[status(thm)],[473, 56])).
% 0.79/0.75 tff(475,plain,
% 0.79/0.75 (greater(tau, zero)),
% 0.79/0.75 inference(and_elim,[status(thm)],[27])).
% 0.79/0.75 tff(476,plain,
% 0.79/0.75 ((~(smaller(zero, tau) <=> greater(tau, zero))) | smaller(zero, tau) | (~greater(tau, zero))),
% 0.79/0.75 inference(tautology,[status(thm)],[])).
% 0.79/0.75 tff(477,plain,
% 0.79/0.75 ((~(smaller(zero, tau) <=> greater(tau, zero))) | smaller(zero, tau)),
% 0.79/0.75 inference(unit_resolution,[status(thm)],[476, 475])).
% 0.79/0.75 tff(478,plain,
% 0.79/0.75 (smaller(zero, tau)),
% 0.79/0.75 inference(unit_resolution,[status(thm)],[477, 474])).
% 0.79/0.75 tff(479,plain,
% 0.79/0.75 (((zero = tau) | smaller(zero, tau)) | (~smaller(zero, tau))),
% 0.79/0.75 inference(tautology,[status(thm)],[])).
% 0.79/0.75 tff(480,plain,
% 0.79/0.75 ((zero = tau) | smaller(zero, tau)),
% 0.79/0.75 inference(unit_resolution,[status(thm)],[479, 478])).
% 0.79/0.75 tff(481,plain,
% 0.79/0.75 ((~(smaller_or_equal(zero, tau) <=> ((zero = tau) | smaller(zero, tau)))) | smaller_or_equal(zero, tau) | (~((zero = tau) | smaller(zero, tau)))),
% 0.79/0.75 inference(tautology,[status(thm)],[])).
% 0.79/0.75 tff(482,plain,
% 0.80/0.75 ((~(smaller_or_equal(zero, tau) <=> ((zero = tau) | smaller(zero, tau)))) | smaller_or_equal(zero, tau)),
% 0.80/0.75 inference(unit_resolution,[status(thm)],[481, 480])).
% 0.80/0.75 tff(483,plain,
% 0.80/0.75 (smaller_or_equal(zero, tau)),
% 0.80/0.75 inference(unit_resolution,[status(thm)],[482, 472])).
% 0.80/0.75 tff(484,plain,
% 0.80/0.75 (smaller_or_equal(age(X!6, T0!5), tau)),
% 0.80/0.75 inference(modus_ponens,[status(thm)],[483, 470])).
% 0.80/0.75 tff(485,plain,
% 0.80/0.75 ((~((~positional_advantage(X!6, T0!5)) | (~smaller_or_equal(age(X!6, T0!5), tau)))) | (~positional_advantage(X!6, T0!5)) | (~smaller_or_equal(age(X!6, T0!5), tau))),
% 0.80/0.75 inference(tautology,[status(thm)],[])).
% 0.80/0.75 tff(486,plain,
% 0.80/0.75 (~positional_advantage(X!6, T0!5)),
% 0.80/0.75 inference(unit_resolution,[status(thm)],[485, 484, 468])).
% 0.80/0.75 tff(487,plain,
% 0.80/0.75 ((~(positional_advantage(X!6, T0!5) | (~is_aligned(X!6, T0!5)) | (hazard_of_mortality(X!6, T0!5) = mod2))) | positional_advantage(X!6, T0!5) | (~is_aligned(X!6, T0!5)) | (hazard_of_mortality(X!6, T0!5) = mod2)),
% 0.80/0.75 inference(tautology,[status(thm)],[])).
% 0.80/0.75 tff(488,plain,
% 0.80/0.75 ((~(positional_advantage(X!6, T0!5) | (~is_aligned(X!6, T0!5)) | (hazard_of_mortality(X!6, T0!5) = mod2))) | positional_advantage(X!6, T0!5) | (hazard_of_mortality(X!6, T0!5) = mod2)),
% 0.80/0.75 inference(unit_resolution,[status(thm)],[487, 129])).
% 0.80/0.75 tff(489,plain,
% 0.80/0.75 ((~(positional_advantage(X!6, T0!5) | (~is_aligned(X!6, T0!5)) | (hazard_of_mortality(X!6, T0!5) = mod2))) | (hazard_of_mortality(X!6, T0!5) = mod2)),
% 0.80/0.75 inference(unit_resolution,[status(thm)],[488, 486])).
% 0.80/0.75 tff(490,plain,
% 0.80/0.75 (hazard_of_mortality(X!6, T0!5) = mod2),
% 0.80/0.75 inference(unit_resolution,[status(thm)],[489, 464])).
% 0.80/0.75 tff(491,plain,
% 0.80/0.75 (mod2 = hazard_of_mortality(X!6, T0!5)),
% 0.80/0.75 inference(symmetry,[status(thm)],[490])).
% 0.80/0.75 tff(492,plain,
% 0.80/0.75 ((hazard_of_mortality(X!6, T1!4) = mod2) <=> (hazard_of_mortality(X!6, T1!4) = hazard_of_mortality(X!6, T0!5))),
% 0.80/0.75 inference(monotonicity,[status(thm)],[491])).
% 0.80/0.75 tff(493,plain,
% 0.80/0.75 (hazard_of_mortality(X!6, T1!4) = hazard_of_mortality(X!6, T0!5)),
% 0.80/0.75 inference(modus_ponens,[status(thm)],[245, 492])).
% 0.80/0.75 tff(494,assumption,(~(hazard_of_mortality(X!6, T1!4) = hazard_of_mortality(X!6, T0!5))), introduced(assumption)).
% 0.80/0.75 tff(495,plain,
% 0.80/0.75 ($false),
% 0.80/0.75 inference(unit_resolution,[status(thm)],[494, 493])).
% 0.80/0.75 tff(496,plain,((~(hazard_of_mortality(X!6, T1!4) = mod2)) | (hazard_of_mortality(X!6, T1!4) = hazard_of_mortality(X!6, T0!5))), inference(lemma,lemma(discharge,[]))).
% 0.80/0.75 tff(497,plain,
% 0.80/0.75 (hazard_of_mortality(X!6, T1!4) = hazard_of_mortality(X!6, T0!5)),
% 0.80/0.75 inference(unit_resolution,[status(thm)],[496, 441])).
% 0.80/0.75 tff(498,plain,
% 0.80/0.75 ((~![X: $i, T0: $i, T: $i] : (dissimilar(X, T0, T) <=> (~((~organization(X)) | (is_aligned(X, T0) <=> is_aligned(X, T)))))) | (dissimilar(X!6, T0!5, T3!2) <=> (~((~organization(X!6)) | (is_aligned(X!6, T0!5) <=> is_aligned(X!6, T3!2)))))),
% 0.80/0.75 inference(quant_inst,[status(thm)],[])).
% 0.80/0.75 tff(499,plain,
% 0.80/0.75 (dissimilar(X!6, T0!5, T3!2) <=> (~((~organization(X!6)) | (is_aligned(X!6, T0!5) <=> is_aligned(X!6, T3!2))))),
% 0.80/0.75 inference(unit_resolution,[status(thm)],[498, 13])).
% 0.80/0.75 tff(500,plain,
% 0.80/0.75 (((~![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))) | ((~organization(X!6)) | (~(age(X!6, T0!5) = zero)) | (greater(age(X!6, T3!2), sigma) <=> dissimilar(X!6, T0!5, T3!2)))) <=> ((~![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))) | (~organization(X!6)) | (~(age(X!6, T0!5) = zero)) | (greater(age(X!6, T3!2), sigma) <=> dissimilar(X!6, T0!5, T3!2)))),
% 0.80/0.75 inference(rewrite,[status(thm)],[])).
% 0.80/0.75 tff(501,plain,
% 0.80/0.75 (((greater(age(X!6, T3!2), sigma) <=> dissimilar(X!6, T0!5, T3!2)) | (~organization(X!6)) | (~(age(X!6, T0!5) = zero))) <=> ((~organization(X!6)) | (~(age(X!6, T0!5) = zero)) | (greater(age(X!6, T3!2), sigma) <=> dissimilar(X!6, T0!5, T3!2)))),
% 0.80/0.75 inference(rewrite,[status(thm)],[])).
% 0.80/0.75 tff(502,plain,
% 0.80/0.75 (((~![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))) | ((greater(age(X!6, T3!2), sigma) <=> dissimilar(X!6, T0!5, T3!2)) | (~organization(X!6)) | (~(age(X!6, T0!5) = zero)))) <=> ((~![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))) | ((~organization(X!6)) | (~(age(X!6, T0!5) = zero)) | (greater(age(X!6, T3!2), sigma) <=> dissimilar(X!6, T0!5, T3!2))))),
% 0.80/0.75 inference(monotonicity,[status(thm)],[501])).
% 0.80/0.75 tff(503,plain,
% 0.80/0.75 (((~![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))) | ((greater(age(X!6, T3!2), sigma) <=> dissimilar(X!6, T0!5, T3!2)) | (~organization(X!6)) | (~(age(X!6, T0!5) = zero)))) <=> ((~![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))) | (~organization(X!6)) | (~(age(X!6, T0!5) = zero)) | (greater(age(X!6, T3!2), sigma) <=> dissimilar(X!6, T0!5, T3!2)))),
% 0.80/0.75 inference(transitivity,[status(thm)],[502, 500])).
% 0.80/0.75 tff(504,plain,
% 0.80/0.75 ((~![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))) | ((greater(age(X!6, T3!2), sigma) <=> dissimilar(X!6, T0!5, T3!2)) | (~organization(X!6)) | (~(age(X!6, T0!5) = zero)))),
% 0.80/0.75 inference(quant_inst,[status(thm)],[])).
% 0.80/0.75 tff(505,plain,
% 0.80/0.75 ((~![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))) | (~organization(X!6)) | (~(age(X!6, T0!5) = zero)) | (greater(age(X!6, T3!2), sigma) <=> dissimilar(X!6, T0!5, T3!2))),
% 0.80/0.75 inference(modus_ponens,[status(thm)],[504, 503])).
% 0.80/0.75 tff(506,plain,
% 0.80/0.75 (greater(age(X!6, T3!2), sigma) <=> dissimilar(X!6, T0!5, T3!2)),
% 0.80/0.75 inference(unit_resolution,[status(thm)],[505, 42, 29, 28])).
% 0.80/0.75 tff(507,plain,
% 0.80/0.75 (greater(age(X!6, T3!2), tau)),
% 0.80/0.75 inference(and_elim,[status(thm)],[27])).
% 0.80/0.75 tff(508,plain,
% 0.80/0.75 (((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | ((~greater(tau, sigma)) | (~greater(age(X!6, T3!2), tau)) | greater(age(X!6, T3!2), sigma))) <=> ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (~greater(tau, sigma)) | (~greater(age(X!6, T3!2), tau)) | greater(age(X!6, T3!2), sigma))),
% 0.80/0.75 inference(rewrite,[status(thm)],[])).
% 0.80/0.75 tff(509,plain,
% 0.80/0.75 ((greater(age(X!6, T3!2), sigma) | (~greater(tau, sigma)) | (~greater(age(X!6, T3!2), tau))) <=> ((~greater(tau, sigma)) | (~greater(age(X!6, T3!2), tau)) | greater(age(X!6, T3!2), sigma))),
% 0.80/0.75 inference(rewrite,[status(thm)],[])).
% 0.80/0.75 tff(510,plain,
% 0.80/0.75 (((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (greater(age(X!6, T3!2), sigma) | (~greater(tau, sigma)) | (~greater(age(X!6, T3!2), tau)))) <=> ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | ((~greater(tau, sigma)) | (~greater(age(X!6, T3!2), tau)) | greater(age(X!6, T3!2), sigma)))),
% 0.80/0.75 inference(monotonicity,[status(thm)],[509])).
% 0.80/0.75 tff(511,plain,
% 0.80/0.75 (((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (greater(age(X!6, T3!2), sigma) | (~greater(tau, sigma)) | (~greater(age(X!6, T3!2), tau)))) <=> ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (~greater(tau, sigma)) | (~greater(age(X!6, T3!2), tau)) | greater(age(X!6, T3!2), sigma))),
% 0.80/0.75 inference(transitivity,[status(thm)],[510, 508])).
% 0.80/0.75 tff(512,plain,
% 0.80/0.75 ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (greater(age(X!6, T3!2), sigma) | (~greater(tau, sigma)) | (~greater(age(X!6, T3!2), tau)))),
% 0.80/0.75 inference(quant_inst,[status(thm)],[])).
% 0.80/0.75 tff(513,plain,
% 0.80/0.75 ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (~greater(tau, sigma)) | (~greater(age(X!6, T3!2), tau)) | greater(age(X!6, T3!2), sigma)),
% 0.80/0.75 inference(modus_ponens,[status(thm)],[512, 511])).
% 0.80/0.75 tff(514,plain,
% 0.80/0.75 (greater(age(X!6, T3!2), sigma)),
% 0.80/0.75 inference(unit_resolution,[status(thm)],[513, 304, 507, 292])).
% 0.80/0.75 tff(515,plain,
% 0.80/0.75 ((~(greater(age(X!6, T3!2), sigma) <=> dissimilar(X!6, T0!5, T3!2))) | (~greater(age(X!6, T3!2), sigma)) | dissimilar(X!6, T0!5, T3!2)),
% 0.80/0.75 inference(tautology,[status(thm)],[])).
% 0.80/0.75 tff(516,plain,
% 0.80/0.75 ((~(greater(age(X!6, T3!2), sigma) <=> dissimilar(X!6, T0!5, T3!2))) | dissimilar(X!6, T0!5, T3!2)),
% 0.80/0.75 inference(unit_resolution,[status(thm)],[515, 514])).
% 0.80/0.75 tff(517,plain,
% 0.80/0.75 (dissimilar(X!6, T0!5, T3!2)),
% 0.80/0.75 inference(unit_resolution,[status(thm)],[516, 506])).
% 0.80/0.75 tff(518,plain,
% 0.80/0.75 ((~(dissimilar(X!6, T0!5, T3!2) <=> (~((~organization(X!6)) | (is_aligned(X!6, T0!5) <=> is_aligned(X!6, T3!2)))))) | (~dissimilar(X!6, T0!5, T3!2)) | (~((~organization(X!6)) | (is_aligned(X!6, T0!5) <=> is_aligned(X!6, T3!2))))),
% 0.80/0.75 inference(tautology,[status(thm)],[])).
% 0.80/0.75 tff(519,plain,
% 0.80/0.75 ((~(dissimilar(X!6, T0!5, T3!2) <=> (~((~organization(X!6)) | (is_aligned(X!6, T0!5) <=> is_aligned(X!6, T3!2)))))) | (~((~organization(X!6)) | (is_aligned(X!6, T0!5) <=> is_aligned(X!6, T3!2))))),
% 0.80/0.75 inference(unit_resolution,[status(thm)],[518, 517])).
% 0.80/0.75 tff(520,plain,
% 0.80/0.75 (~((~organization(X!6)) | (is_aligned(X!6, T0!5) <=> is_aligned(X!6, T3!2)))),
% 0.80/0.75 inference(unit_resolution,[status(thm)],[519, 499])).
% 0.80/0.75 tff(521,plain,
% 0.80/0.75 (((~organization(X!6)) | (is_aligned(X!6, T0!5) <=> is_aligned(X!6, T3!2))) | (~(is_aligned(X!6, T0!5) <=> is_aligned(X!6, T3!2)))),
% 0.80/0.75 inference(tautology,[status(thm)],[])).
% 0.80/0.75 tff(522,plain,
% 0.80/0.75 (~(is_aligned(X!6, T0!5) <=> is_aligned(X!6, T3!2))),
% 0.80/0.75 inference(unit_resolution,[status(thm)],[521, 520])).
% 0.80/0.75 tff(523,plain,
% 0.80/0.75 ((is_aligned(X!6, T0!5) <=> is_aligned(X!6, T3!2)) | (~is_aligned(X!6, T0!5)) | (~is_aligned(X!6, T3!2))),
% 0.80/0.75 inference(tautology,[status(thm)],[])).
% 0.80/0.75 tff(524,plain,
% 0.80/0.75 ((is_aligned(X!6, T0!5) <=> is_aligned(X!6, T3!2)) | (~is_aligned(X!6, T3!2))),
% 0.80/0.75 inference(unit_resolution,[status(thm)],[523, 129])).
% 0.80/0.75 tff(525,plain,
% 0.80/0.75 (~is_aligned(X!6, T3!2)),
% 0.80/0.75 inference(unit_resolution,[status(thm)],[524, 522])).
% 0.80/0.75 tff(526,assumption,(has_immunity(X!6, T3!2)), introduced(assumption)).
% 0.80/0.75 tff(527,plain,
% 0.80/0.75 (((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | (has_endowment(X!6) | (~organization(X!6)) | (~has_immunity(X!6, T3!2)))) <=> ((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | has_endowment(X!6) | (~organization(X!6)) | (~has_immunity(X!6, T3!2)))),
% 0.80/0.75 inference(rewrite,[status(thm)],[])).
% 0.80/0.75 tff(528,plain,
% 0.80/0.75 (((~has_immunity(X!6, T3!2)) | has_endowment(X!6) | (~organization(X!6))) <=> (has_endowment(X!6) | (~organization(X!6)) | (~has_immunity(X!6, T3!2)))),
% 0.80/0.75 inference(rewrite,[status(thm)],[])).
% 0.80/0.75 tff(529,plain,
% 0.80/0.75 (((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | ((~has_immunity(X!6, T3!2)) | has_endowment(X!6) | (~organization(X!6)))) <=> ((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | (has_endowment(X!6) | (~organization(X!6)) | (~has_immunity(X!6, T3!2))))),
% 0.80/0.75 inference(monotonicity,[status(thm)],[528])).
% 0.80/0.75 tff(530,plain,
% 0.80/0.75 (((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | ((~has_immunity(X!6, T3!2)) | has_endowment(X!6) | (~organization(X!6)))) <=> ((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | has_endowment(X!6) | (~organization(X!6)) | (~has_immunity(X!6, T3!2)))),
% 0.80/0.75 inference(transitivity,[status(thm)],[529, 527])).
% 0.80/0.75 tff(531,plain,
% 0.80/0.75 ((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | ((~has_immunity(X!6, T3!2)) | has_endowment(X!6) | (~organization(X!6)))),
% 0.80/0.75 inference(quant_inst,[status(thm)],[])).
% 0.80/0.75 tff(532,plain,
% 0.80/0.75 ((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | has_endowment(X!6) | (~organization(X!6)) | (~has_immunity(X!6, T3!2))),
% 0.80/0.75 inference(modus_ponens,[status(thm)],[531, 530])).
% 0.80/0.75 tff(533,plain,
% 0.80/0.75 ($false),
% 0.80/0.75 inference(unit_resolution,[status(thm)],[532, 168, 29, 155, 526])).
% 0.80/0.75 tff(534,plain,(~has_immunity(X!6, T3!2)), inference(lemma,lemma(discharge,[]))).
% 0.80/0.75 tff(535,plain,
% 0.80/0.75 (((~![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!6)) | (~((~((~has_immunity(X!6, T3!2)) | (hazard_of_mortality(X!6, T3!2) = very_low))) | (~(has_immunity(X!6, T3!2) | (~((~((~positional_advantage(X!6, T3!2)) | (~is_aligned(X!6, T3!2)) | (hazard_of_mortality(X!6, T3!2) = low))) | (~((~positional_advantage(X!6, T3!2)) | is_aligned(X!6, T3!2) | (hazard_of_mortality(X!6, T3!2) = mod1))) | (~(positional_advantage(X!6, T3!2) | (~is_aligned(X!6, T3!2)) | (hazard_of_mortality(X!6, T3!2) = mod2))) | (~(is_aligned(X!6, T3!2) | positional_advantage(X!6, T3!2) | (hazard_of_mortality(X!6, T3!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!6)) | (~((~((~has_immunity(X!6, T3!2)) | (hazard_of_mortality(X!6, T3!2) = very_low))) | (~(has_immunity(X!6, T3!2) | (~((~((~positional_advantage(X!6, T3!2)) | (~is_aligned(X!6, T3!2)) | (hazard_of_mortality(X!6, T3!2) = low))) | (~((~positional_advantage(X!6, T3!2)) | is_aligned(X!6, T3!2) | (hazard_of_mortality(X!6, T3!2) = mod1))) | (~(positional_advantage(X!6, T3!2) | (~is_aligned(X!6, T3!2)) | (hazard_of_mortality(X!6, T3!2) = mod2))) | (~(is_aligned(X!6, T3!2) | positional_advantage(X!6, T3!2) | (hazard_of_mortality(X!6, T3!2) = high))))))))))),
% 0.80/0.75 inference(rewrite,[status(thm)],[])).
% 0.80/0.75 tff(536,plain,
% 0.80/0.75 (((~organization(X!6)) | (~((~((~has_immunity(X!6, T3!2)) | (hazard_of_mortality(X!6, T3!2) = very_low))) | (~(has_immunity(X!6, T3!2) | (~((~((~positional_advantage(X!6, T3!2)) | (~is_aligned(X!6, T3!2)) | (hazard_of_mortality(X!6, T3!2) = low))) | (~((~positional_advantage(X!6, T3!2)) | is_aligned(X!6, T3!2) | (hazard_of_mortality(X!6, T3!2) = mod1))) | (~(positional_advantage(X!6, T3!2) | (~is_aligned(X!6, T3!2)) | (hazard_of_mortality(X!6, T3!2) = mod2))) | (~(positional_advantage(X!6, T3!2) | is_aligned(X!6, T3!2) | (hazard_of_mortality(X!6, T3!2) = high)))))))))) <=> ((~organization(X!6)) | (~((~((~has_immunity(X!6, T3!2)) | (hazard_of_mortality(X!6, T3!2) = very_low))) | (~(has_immunity(X!6, T3!2) | (~((~((~positional_advantage(X!6, T3!2)) | (~is_aligned(X!6, T3!2)) | (hazard_of_mortality(X!6, T3!2) = low))) | (~((~positional_advantage(X!6, T3!2)) | is_aligned(X!6, T3!2) | (hazard_of_mortality(X!6, T3!2) = mod1))) | (~(positional_advantage(X!6, T3!2) | (~is_aligned(X!6, T3!2)) | (hazard_of_mortality(X!6, T3!2) = mod2))) | (~(is_aligned(X!6, T3!2) | positional_advantage(X!6, T3!2) | (hazard_of_mortality(X!6, T3!2) = high))))))))))),
% 0.80/0.75 inference(rewrite,[status(thm)],[])).
% 0.80/0.75 tff(537,plain,
% 0.80/0.75 (((~![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!6)) | (~((~((~has_immunity(X!6, T3!2)) | (hazard_of_mortality(X!6, T3!2) = very_low))) | (~(has_immunity(X!6, T3!2) | (~((~((~positional_advantage(X!6, T3!2)) | (~is_aligned(X!6, T3!2)) | (hazard_of_mortality(X!6, T3!2) = low))) | (~((~positional_advantage(X!6, T3!2)) | is_aligned(X!6, T3!2) | (hazard_of_mortality(X!6, T3!2) = mod1))) | (~(positional_advantage(X!6, T3!2) | (~is_aligned(X!6, T3!2)) | (hazard_of_mortality(X!6, T3!2) = mod2))) | (~(positional_advantage(X!6, T3!2) | is_aligned(X!6, T3!2) | (hazard_of_mortality(X!6, T3!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!6)) | (~((~((~has_immunity(X!6, T3!2)) | (hazard_of_mortality(X!6, T3!2) = very_low))) | (~(has_immunity(X!6, T3!2) | (~((~((~positional_advantage(X!6, T3!2)) | (~is_aligned(X!6, T3!2)) | (hazard_of_mortality(X!6, T3!2) = low))) | (~((~positional_advantage(X!6, T3!2)) | is_aligned(X!6, T3!2) | (hazard_of_mortality(X!6, T3!2) = mod1))) | (~(positional_advantage(X!6, T3!2) | (~is_aligned(X!6, T3!2)) | (hazard_of_mortality(X!6, T3!2) = mod2))) | (~(is_aligned(X!6, T3!2) | positional_advantage(X!6, T3!2) | (hazard_of_mortality(X!6, T3!2) = high)))))))))))),
% 0.80/0.76 inference(monotonicity,[status(thm)],[536])).
% 0.80/0.76 tff(538,plain,
% 0.80/0.76 (((~![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!6)) | (~((~((~has_immunity(X!6, T3!2)) | (hazard_of_mortality(X!6, T3!2) = very_low))) | (~(has_immunity(X!6, T3!2) | (~((~((~positional_advantage(X!6, T3!2)) | (~is_aligned(X!6, T3!2)) | (hazard_of_mortality(X!6, T3!2) = low))) | (~((~positional_advantage(X!6, T3!2)) | is_aligned(X!6, T3!2) | (hazard_of_mortality(X!6, T3!2) = mod1))) | (~(positional_advantage(X!6, T3!2) | (~is_aligned(X!6, T3!2)) | (hazard_of_mortality(X!6, T3!2) = mod2))) | (~(positional_advantage(X!6, T3!2) | is_aligned(X!6, T3!2) | (hazard_of_mortality(X!6, T3!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!6)) | (~((~((~has_immunity(X!6, T3!2)) | (hazard_of_mortality(X!6, T3!2) = very_low))) | (~(has_immunity(X!6, T3!2) | (~((~((~positional_advantage(X!6, T3!2)) | (~is_aligned(X!6, T3!2)) | (hazard_of_mortality(X!6, T3!2) = low))) | (~((~positional_advantage(X!6, T3!2)) | is_aligned(X!6, T3!2) | (hazard_of_mortality(X!6, T3!2) = mod1))) | (~(positional_advantage(X!6, T3!2) | (~is_aligned(X!6, T3!2)) | (hazard_of_mortality(X!6, T3!2) = mod2))) | (~(is_aligned(X!6, T3!2) | positional_advantage(X!6, T3!2) | (hazard_of_mortality(X!6, T3!2) = high))))))))))),
% 0.80/0.76 inference(transitivity,[status(thm)],[537, 535])).
% 0.80/0.76 tff(539,plain,
% 0.80/0.76 ((~![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!6)) | (~((~((~has_immunity(X!6, T3!2)) | (hazard_of_mortality(X!6, T3!2) = very_low))) | (~(has_immunity(X!6, T3!2) | (~((~((~positional_advantage(X!6, T3!2)) | (~is_aligned(X!6, T3!2)) | (hazard_of_mortality(X!6, T3!2) = low))) | (~((~positional_advantage(X!6, T3!2)) | is_aligned(X!6, T3!2) | (hazard_of_mortality(X!6, T3!2) = mod1))) | (~(positional_advantage(X!6, T3!2) | (~is_aligned(X!6, T3!2)) | (hazard_of_mortality(X!6, T3!2) = mod2))) | (~(positional_advantage(X!6, T3!2) | is_aligned(X!6, T3!2) | (hazard_of_mortality(X!6, T3!2) = high))))))))))),
% 0.80/0.76 inference(quant_inst,[status(thm)],[])).
% 0.80/0.76 tff(540,plain,
% 0.80/0.76 ((~![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!6)) | (~((~((~has_immunity(X!6, T3!2)) | (hazard_of_mortality(X!6, T3!2) = very_low))) | (~(has_immunity(X!6, T3!2) | (~((~((~positional_advantage(X!6, T3!2)) | (~is_aligned(X!6, T3!2)) | (hazard_of_mortality(X!6, T3!2) = low))) | (~((~positional_advantage(X!6, T3!2)) | is_aligned(X!6, T3!2) | (hazard_of_mortality(X!6, T3!2) = mod1))) | (~(positional_advantage(X!6, T3!2) | (~is_aligned(X!6, T3!2)) | (hazard_of_mortality(X!6, T3!2) = mod2))) | (~(is_aligned(X!6, T3!2) | positional_advantage(X!6, T3!2) | (hazard_of_mortality(X!6, T3!2) = high)))))))))),
% 0.80/0.76 inference(modus_ponens,[status(thm)],[539, 538])).
% 0.80/0.76 tff(541,plain,
% 0.80/0.76 (~((~((~has_immunity(X!6, T3!2)) | (hazard_of_mortality(X!6, T3!2) = very_low))) | (~(has_immunity(X!6, T3!2) | (~((~((~positional_advantage(X!6, T3!2)) | (~is_aligned(X!6, T3!2)) | (hazard_of_mortality(X!6, T3!2) = low))) | (~((~positional_advantage(X!6, T3!2)) | is_aligned(X!6, T3!2) | (hazard_of_mortality(X!6, T3!2) = mod1))) | (~(positional_advantage(X!6, T3!2) | (~is_aligned(X!6, T3!2)) | (hazard_of_mortality(X!6, T3!2) = mod2))) | (~(is_aligned(X!6, T3!2) | positional_advantage(X!6, T3!2) | (hazard_of_mortality(X!6, T3!2) = high))))))))),
% 0.80/0.76 inference(unit_resolution,[status(thm)],[540, 189, 29])).
% 0.80/0.76 tff(542,plain,
% 0.80/0.76 (((~((~has_immunity(X!6, T3!2)) | (hazard_of_mortality(X!6, T3!2) = very_low))) | (~(has_immunity(X!6, T3!2) | (~((~((~positional_advantage(X!6, T3!2)) | (~is_aligned(X!6, T3!2)) | (hazard_of_mortality(X!6, T3!2) = low))) | (~((~positional_advantage(X!6, T3!2)) | is_aligned(X!6, T3!2) | (hazard_of_mortality(X!6, T3!2) = mod1))) | (~(positional_advantage(X!6, T3!2) | (~is_aligned(X!6, T3!2)) | (hazard_of_mortality(X!6, T3!2) = mod2))) | (~(is_aligned(X!6, T3!2) | positional_advantage(X!6, T3!2) | (hazard_of_mortality(X!6, T3!2) = high)))))))) | (has_immunity(X!6, T3!2) | (~((~((~positional_advantage(X!6, T3!2)) | (~is_aligned(X!6, T3!2)) | (hazard_of_mortality(X!6, T3!2) = low))) | (~((~positional_advantage(X!6, T3!2)) | is_aligned(X!6, T3!2) | (hazard_of_mortality(X!6, T3!2) = mod1))) | (~(positional_advantage(X!6, T3!2) | (~is_aligned(X!6, T3!2)) | (hazard_of_mortality(X!6, T3!2) = mod2))) | (~(is_aligned(X!6, T3!2) | positional_advantage(X!6, T3!2) | (hazard_of_mortality(X!6, T3!2) = high))))))),
% 0.80/0.76 inference(tautology,[status(thm)],[])).
% 0.80/0.76 tff(543,plain,
% 0.80/0.76 (has_immunity(X!6, T3!2) | (~((~((~positional_advantage(X!6, T3!2)) | (~is_aligned(X!6, T3!2)) | (hazard_of_mortality(X!6, T3!2) = low))) | (~((~positional_advantage(X!6, T3!2)) | is_aligned(X!6, T3!2) | (hazard_of_mortality(X!6, T3!2) = mod1))) | (~(positional_advantage(X!6, T3!2) | (~is_aligned(X!6, T3!2)) | (hazard_of_mortality(X!6, T3!2) = mod2))) | (~(is_aligned(X!6, T3!2) | positional_advantage(X!6, T3!2) | (hazard_of_mortality(X!6, T3!2) = high)))))),
% 0.80/0.76 inference(unit_resolution,[status(thm)],[542, 541])).
% 0.80/0.76 tff(544,plain,
% 0.80/0.76 ((~(has_immunity(X!6, T3!2) | (~((~((~positional_advantage(X!6, T3!2)) | (~is_aligned(X!6, T3!2)) | (hazard_of_mortality(X!6, T3!2) = low))) | (~((~positional_advantage(X!6, T3!2)) | is_aligned(X!6, T3!2) | (hazard_of_mortality(X!6, T3!2) = mod1))) | (~(positional_advantage(X!6, T3!2) | (~is_aligned(X!6, T3!2)) | (hazard_of_mortality(X!6, T3!2) = mod2))) | (~(is_aligned(X!6, T3!2) | positional_advantage(X!6, T3!2) | (hazard_of_mortality(X!6, T3!2) = high))))))) | has_immunity(X!6, T3!2) | (~((~((~positional_advantage(X!6, T3!2)) | (~is_aligned(X!6, T3!2)) | (hazard_of_mortality(X!6, T3!2) = low))) | (~((~positional_advantage(X!6, T3!2)) | is_aligned(X!6, T3!2) | (hazard_of_mortality(X!6, T3!2) = mod1))) | (~(positional_advantage(X!6, T3!2) | (~is_aligned(X!6, T3!2)) | (hazard_of_mortality(X!6, T3!2) = mod2))) | (~(is_aligned(X!6, T3!2) | positional_advantage(X!6, T3!2) | (hazard_of_mortality(X!6, T3!2) = high)))))),
% 0.80/0.76 inference(tautology,[status(thm)],[])).
% 0.80/0.76 tff(545,plain,
% 0.80/0.76 (has_immunity(X!6, T3!2) | (~((~((~positional_advantage(X!6, T3!2)) | (~is_aligned(X!6, T3!2)) | (hazard_of_mortality(X!6, T3!2) = low))) | (~((~positional_advantage(X!6, T3!2)) | is_aligned(X!6, T3!2) | (hazard_of_mortality(X!6, T3!2) = mod1))) | (~(positional_advantage(X!6, T3!2) | (~is_aligned(X!6, T3!2)) | (hazard_of_mortality(X!6, T3!2) = mod2))) | (~(is_aligned(X!6, T3!2) | positional_advantage(X!6, T3!2) | (hazard_of_mortality(X!6, T3!2) = high)))))),
% 0.80/0.76 inference(unit_resolution,[status(thm)],[544, 543])).
% 0.80/0.76 tff(546,plain,
% 0.80/0.76 (~((~((~positional_advantage(X!6, T3!2)) | (~is_aligned(X!6, T3!2)) | (hazard_of_mortality(X!6, T3!2) = low))) | (~((~positional_advantage(X!6, T3!2)) | is_aligned(X!6, T3!2) | (hazard_of_mortality(X!6, T3!2) = mod1))) | (~(positional_advantage(X!6, T3!2) | (~is_aligned(X!6, T3!2)) | (hazard_of_mortality(X!6, T3!2) = mod2))) | (~(is_aligned(X!6, T3!2) | positional_advantage(X!6, T3!2) | (hazard_of_mortality(X!6, T3!2) = high))))),
% 0.80/0.76 inference(unit_resolution,[status(thm)],[545, 534])).
% 0.80/0.76 tff(547,plain,
% 0.80/0.76 (((~((~positional_advantage(X!6, T3!2)) | (~is_aligned(X!6, T3!2)) | (hazard_of_mortality(X!6, T3!2) = low))) | (~((~positional_advantage(X!6, T3!2)) | is_aligned(X!6, T3!2) | (hazard_of_mortality(X!6, T3!2) = mod1))) | (~(positional_advantage(X!6, T3!2) | (~is_aligned(X!6, T3!2)) | (hazard_of_mortality(X!6, T3!2) = mod2))) | (~(is_aligned(X!6, T3!2) | positional_advantage(X!6, T3!2) | (hazard_of_mortality(X!6, T3!2) = high)))) | ((~positional_advantage(X!6, T3!2)) | is_aligned(X!6, T3!2) | (hazard_of_mortality(X!6, T3!2) = mod1))),
% 0.80/0.76 inference(tautology,[status(thm)],[])).
% 0.80/0.76 tff(548,plain,
% 0.80/0.76 ((~positional_advantage(X!6, T3!2)) | is_aligned(X!6, T3!2) | (hazard_of_mortality(X!6, T3!2) = mod1)),
% 0.80/0.76 inference(unit_resolution,[status(thm)],[547, 546])).
% 0.80/0.76 tff(549,plain,
% 0.80/0.76 ((~![T: $i] : (~((~((~positional_advantage(X!6, T)) | (~smaller_or_equal(age(X!6, T), tau)))) | (~((~greater(age(X!6, T), tau)) | positional_advantage(X!6, T)))))) | (~((~((~positional_advantage(X!6, T3!2)) | (~smaller_or_equal(age(X!6, T3!2), tau)))) | (~((~greater(age(X!6, T3!2), tau)) | positional_advantage(X!6, T3!2)))))),
% 0.80/0.76 inference(quant_inst,[status(thm)],[])).
% 0.80/0.76 tff(550,plain,
% 0.80/0.76 (~((~((~positional_advantage(X!6, T3!2)) | (~smaller_or_equal(age(X!6, T3!2), tau)))) | (~((~greater(age(X!6, T3!2), tau)) | positional_advantage(X!6, T3!2))))),
% 0.80/0.76 inference(unit_resolution,[status(thm)],[549, 230])).
% 0.80/0.76 tff(551,plain,
% 0.80/0.76 (((~((~positional_advantage(X!6, T3!2)) | (~smaller_or_equal(age(X!6, T3!2), tau)))) | (~((~greater(age(X!6, T3!2), tau)) | positional_advantage(X!6, T3!2)))) | ((~greater(age(X!6, T3!2), tau)) | positional_advantage(X!6, T3!2))),
% 0.80/0.76 inference(tautology,[status(thm)],[])).
% 0.80/0.76 tff(552,plain,
% 0.80/0.76 ((~greater(age(X!6, T3!2), tau)) | positional_advantage(X!6, T3!2)),
% 0.80/0.76 inference(unit_resolution,[status(thm)],[551, 550])).
% 0.80/0.76 tff(553,plain,
% 0.80/0.76 ((~((~greater(age(X!6, T3!2), tau)) | positional_advantage(X!6, T3!2))) | (~greater(age(X!6, T3!2), tau)) | positional_advantage(X!6, T3!2)),
% 0.80/0.76 inference(tautology,[status(thm)],[])).
% 0.80/0.76 tff(554,plain,
% 0.80/0.76 ((~((~greater(age(X!6, T3!2), tau)) | positional_advantage(X!6, T3!2))) | positional_advantage(X!6, T3!2)),
% 0.80/0.76 inference(unit_resolution,[status(thm)],[553, 507])).
% 0.80/0.76 tff(555,plain,
% 0.80/0.76 (positional_advantage(X!6, T3!2)),
% 0.80/0.76 inference(unit_resolution,[status(thm)],[554, 552])).
% 0.80/0.76 tff(556,plain,
% 0.80/0.76 ((~((~positional_advantage(X!6, T3!2)) | is_aligned(X!6, T3!2) | (hazard_of_mortality(X!6, T3!2) = mod1))) | (~positional_advantage(X!6, T3!2)) | is_aligned(X!6, T3!2) | (hazard_of_mortality(X!6, T3!2) = mod1)),
% 0.80/0.76 inference(tautology,[status(thm)],[])).
% 0.80/0.76 tff(557,plain,
% 0.80/0.76 ((~((~positional_advantage(X!6, T3!2)) | is_aligned(X!6, T3!2) | (hazard_of_mortality(X!6, T3!2) = mod1))) | is_aligned(X!6, T3!2) | (hazard_of_mortality(X!6, T3!2) = mod1)),
% 0.80/0.76 inference(unit_resolution,[status(thm)],[556, 555])).
% 0.80/0.76 tff(558,plain,
% 0.80/0.76 (is_aligned(X!6, T3!2) | (hazard_of_mortality(X!6, T3!2) = mod1)),
% 0.80/0.76 inference(unit_resolution,[status(thm)],[557, 548])).
% 0.80/0.76 tff(559,plain,
% 0.80/0.76 (hazard_of_mortality(X!6, T3!2) = mod1),
% 0.80/0.76 inference(unit_resolution,[status(thm)],[558, 525])).
% 0.80/0.76 tff(560,plain,
% 0.80/0.76 (mod2 = hazard_of_mortality(X!6, T1!4)),
% 0.80/0.76 inference(symmetry,[status(thm)],[245])).
% 0.80/0.76 tff(561,assumption,(hazard_of_mortality(X!6, T3!2) = mod1), introduced(assumption)).
% 0.80/0.76 tff(562,plain,
% 0.80/0.76 (mod1 = hazard_of_mortality(X!6, T3!2)),
% 0.80/0.76 inference(symmetry,[status(thm)],[561])).
% 0.80/0.76 tff(563,plain,
% 0.80/0.76 (smaller(mod1, mod2) <=> smaller(hazard_of_mortality(X!6, T3!2), hazard_of_mortality(X!6, T1!4))),
% 0.80/0.76 inference(monotonicity,[status(thm)],[562, 560])).
% 0.80/0.76 tff(564,plain,
% 0.80/0.76 (smaller(hazard_of_mortality(X!6, T3!2), hazard_of_mortality(X!6, T1!4)) <=> smaller(mod1, mod2)),
% 0.80/0.76 inference(symmetry,[status(thm)],[563])).
% 0.80/0.76 tff(565,plain,
% 0.80/0.76 ((~smaller(hazard_of_mortality(X!6, T3!2), hazard_of_mortality(X!6, T1!4))) <=> (~smaller(mod1, mod2))),
% 0.80/0.76 inference(monotonicity,[status(thm)],[564])).
% 0.80/0.76 tff(566,assumption,(~smaller(hazard_of_mortality(X!6, T3!2), hazard_of_mortality(X!6, T1!4))), introduced(assumption)).
% 0.80/0.76 tff(567,plain,
% 0.80/0.76 (~smaller(mod1, mod2)),
% 0.80/0.76 inference(modus_ponens,[status(thm)],[566, 565])).
% 0.80/0.76 tff(568,plain,
% 0.80/0.76 ((~![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))) | (smaller(mod1, mod2) <=> greater(mod2, mod1))),
% 0.80/0.76 inference(quant_inst,[status(thm)],[])).
% 0.80/0.76 tff(569,plain,
% 0.80/0.76 (smaller(mod1, mod2) <=> greater(mod2, mod1)),
% 0.80/0.76 inference(unit_resolution,[status(thm)],[568, 56])).
% 0.80/0.76 tff(570,plain,
% 0.80/0.76 (greater(mod2, mod1) <=> greater(mod2, mod1)),
% 0.80/0.76 inference(rewrite,[status(thm)],[])).
% 0.80/0.76 tff(571,axiom,(greater(mod2, mod1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','assumption_19')).
% 0.80/0.76 tff(572,plain,
% 0.80/0.76 (greater(mod2, mod1)),
% 0.80/0.76 inference(modus_ponens,[status(thm)],[571, 570])).
% 0.80/0.76 tff(573,plain,
% 0.80/0.76 ((~(smaller(mod1, mod2) <=> greater(mod2, mod1))) | smaller(mod1, mod2) | (~greater(mod2, mod1))),
% 0.80/0.76 inference(tautology,[status(thm)],[])).
% 0.80/0.76 tff(574,plain,
% 0.80/0.76 ((~(smaller(mod1, mod2) <=> greater(mod2, mod1))) | smaller(mod1, mod2)),
% 0.80/0.76 inference(unit_resolution,[status(thm)],[573, 572])).
% 0.80/0.76 tff(575,plain,
% 0.80/0.76 (smaller(mod1, mod2)),
% 0.80/0.76 inference(unit_resolution,[status(thm)],[574, 569])).
% 0.80/0.76 tff(576,plain,
% 0.80/0.76 ($false),
% 0.80/0.76 inference(unit_resolution,[status(thm)],[575, 567])).
% 0.80/0.76 tff(577,plain,((~(hazard_of_mortality(X!6, T1!4) = mod2)) | smaller(hazard_of_mortality(X!6, T3!2), hazard_of_mortality(X!6, T1!4)) | (~(hazard_of_mortality(X!6, T3!2) = mod1))), inference(lemma,lemma(discharge,[]))).
% 0.80/0.76 tff(578,plain,
% 0.80/0.76 (smaller(hazard_of_mortality(X!6, T3!2), hazard_of_mortality(X!6, T1!4))),
% 0.80/0.76 inference(unit_resolution,[status(thm)],[577, 441, 559])).
% 0.80/0.76 tff(579,plain,
% 0.80/0.76 ((~(~((~smaller(hazard_of_mortality(X!6, T3!2), hazard_of_mortality(X!6, T1!4))) | (~smaller(hazard_of_mortality(X!6, T1!4), hazard_of_mortality(X!6, T2!3))) | (~(hazard_of_mortality(X!6, T1!4) = hazard_of_mortality(X!6, T0!5)))))) <=> ((~smaller(hazard_of_mortality(X!6, T3!2), hazard_of_mortality(X!6, T1!4))) | (~smaller(hazard_of_mortality(X!6, T1!4), hazard_of_mortality(X!6, T2!3))) | (~(hazard_of_mortality(X!6, T1!4) = hazard_of_mortality(X!6, T0!5))))),
% 0.80/0.77 inference(rewrite,[status(thm)],[])).
% 0.80/0.77 tff(580,plain,
% 0.80/0.77 ((smaller(hazard_of_mortality(X!6, T3!2), hazard_of_mortality(X!6, T1!4)) & smaller(hazard_of_mortality(X!6, T1!4), hazard_of_mortality(X!6, T2!3)) & (hazard_of_mortality(X!6, T1!4) = hazard_of_mortality(X!6, T0!5))) <=> (~((~smaller(hazard_of_mortality(X!6, T3!2), hazard_of_mortality(X!6, T1!4))) | (~smaller(hazard_of_mortality(X!6, T1!4), hazard_of_mortality(X!6, T2!3))) | (~(hazard_of_mortality(X!6, T1!4) = hazard_of_mortality(X!6, T0!5)))))),
% 0.80/0.77 inference(rewrite,[status(thm)],[])).
% 0.80/0.77 tff(581,plain,
% 0.80/0.77 ((~(smaller(hazard_of_mortality(X!6, T3!2), hazard_of_mortality(X!6, T1!4)) & smaller(hazard_of_mortality(X!6, T1!4), hazard_of_mortality(X!6, T2!3)) & (hazard_of_mortality(X!6, T1!4) = hazard_of_mortality(X!6, T0!5)))) <=> (~(~((~smaller(hazard_of_mortality(X!6, T3!2), hazard_of_mortality(X!6, T1!4))) | (~smaller(hazard_of_mortality(X!6, T1!4), hazard_of_mortality(X!6, T2!3))) | (~(hazard_of_mortality(X!6, T1!4) = hazard_of_mortality(X!6, T0!5))))))),
% 0.80/0.77 inference(monotonicity,[status(thm)],[580])).
% 0.80/0.77 tff(582,plain,
% 0.80/0.77 ((~(smaller(hazard_of_mortality(X!6, T3!2), hazard_of_mortality(X!6, T1!4)) & smaller(hazard_of_mortality(X!6, T1!4), hazard_of_mortality(X!6, T2!3)) & (hazard_of_mortality(X!6, T1!4) = hazard_of_mortality(X!6, T0!5)))) <=> ((~smaller(hazard_of_mortality(X!6, T3!2), hazard_of_mortality(X!6, T1!4))) | (~smaller(hazard_of_mortality(X!6, T1!4), hazard_of_mortality(X!6, T2!3))) | (~(hazard_of_mortality(X!6, T1!4) = hazard_of_mortality(X!6, T0!5))))),
% 0.80/0.77 inference(transitivity,[status(thm)],[581, 579])).
% 0.80/0.77 tff(583,plain,
% 0.80/0.77 (~(smaller(hazard_of_mortality(X!6, T3!2), hazard_of_mortality(X!6, T1!4)) & smaller(hazard_of_mortality(X!6, T1!4), hazard_of_mortality(X!6, T2!3)) & (hazard_of_mortality(X!6, T1!4) = hazard_of_mortality(X!6, T0!5)))),
% 0.80/0.77 inference(or_elim,[status(thm)],[26])).
% 0.80/0.77 tff(584,plain,
% 0.80/0.77 ((~smaller(hazard_of_mortality(X!6, T3!2), hazard_of_mortality(X!6, T1!4))) | (~smaller(hazard_of_mortality(X!6, T1!4), hazard_of_mortality(X!6, T2!3))) | (~(hazard_of_mortality(X!6, T1!4) = hazard_of_mortality(X!6, T0!5)))),
% 0.80/0.77 inference(modus_ponens,[status(thm)],[583, 582])).
% 0.80/0.77 tff(585,plain,
% 0.80/0.77 ($false),
% 0.80/0.77 inference(unit_resolution,[status(thm)],[584, 578, 497, 429])).
% 0.80/0.77 % SZS output end Proof
%------------------------------------------------------------------------------