TSTP Solution File: MGT061+1 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : MGT061+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 18 05:22:18 EDT 2022
% Result : Theorem 0.45s 0.53s
% Output : Proof 0.47s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : MGT061+1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.34 % Computer : n005.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri Sep 2 02:57:03 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.35 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.12/0.35 Usage: tptp [options] [-file:]file
% 0.12/0.35 -h, -? prints this message.
% 0.12/0.35 -smt2 print SMT-LIB2 benchmark.
% 0.12/0.35 -m, -model generate model.
% 0.12/0.35 -p, -proof generate proof.
% 0.12/0.35 -c, -core generate unsat core of named formulas.
% 0.12/0.35 -st, -statistics display statistics.
% 0.12/0.35 -t:timeout set timeout (in second).
% 0.12/0.35 -smt2status display status in smt2 format instead of SZS.
% 0.12/0.35 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.12/0.35 -<param>:<value> configuration parameter and value.
% 0.12/0.35 -o:<output-file> file to place output in.
% 0.45/0.53 % SZS status Theorem
% 0.45/0.53 % SZS output start Proof
% 0.45/0.53 tff(dissimilar_type, type, (
% 0.45/0.53 dissimilar: ( $i * $i * $i ) > $o)).
% 0.45/0.53 tff(tptp_fun_T1_2_type, type, (
% 0.45/0.53 tptp_fun_T1_2: $i)).
% 0.45/0.53 tff(tptp_fun_T0_3_type, type, (
% 0.45/0.53 tptp_fun_T0_3: $i)).
% 0.45/0.53 tff(tptp_fun_X_4_type, type, (
% 0.45/0.53 tptp_fun_X_4: $i)).
% 0.45/0.53 tff(greater_type, type, (
% 0.45/0.53 greater: ( $i * $i ) > $o)).
% 0.45/0.53 tff(sigma_type, type, (
% 0.45/0.53 sigma: $i)).
% 0.45/0.53 tff(age_type, type, (
% 0.45/0.53 age: ( $i * $i ) > $i)).
% 0.45/0.53 tff(is_aligned_type, type, (
% 0.45/0.53 is_aligned: ( $i * $i ) > $o)).
% 0.45/0.53 tff(organization_type, type, (
% 0.45/0.53 organization: $i > $o)).
% 0.45/0.53 tff(low_type, type, (
% 0.45/0.53 low: $i)).
% 0.45/0.53 tff(hazard_of_mortality_type, type, (
% 0.45/0.53 hazard_of_mortality: ( $i * $i ) > $i)).
% 0.45/0.53 tff(positional_advantage_type, type, (
% 0.45/0.53 positional_advantage: ( $i * $i ) > $o)).
% 0.45/0.53 tff(high_type, type, (
% 0.45/0.53 high: $i)).
% 0.45/0.53 tff(mod2_type, type, (
% 0.45/0.53 mod2: $i)).
% 0.45/0.53 tff(mod1_type, type, (
% 0.45/0.53 mod1: $i)).
% 0.45/0.53 tff(has_immunity_type, type, (
% 0.45/0.53 has_immunity: ( $i * $i ) > $o)).
% 0.45/0.53 tff(has_endowment_type, type, (
% 0.45/0.53 has_endowment: $i > $o)).
% 0.45/0.53 tff(tptp_fun_T2_1_type, type, (
% 0.45/0.53 tptp_fun_T2_1: $i)).
% 0.45/0.53 tff(smaller_or_equal_type, type, (
% 0.45/0.53 smaller_or_equal: ( $i * $i ) > $o)).
% 0.45/0.53 tff(zero_type, type, (
% 0.45/0.53 zero: $i)).
% 0.45/0.53 tff(fragile_position_type, type, (
% 0.45/0.53 fragile_position: $i > $o)).
% 0.45/0.53 tff(very_low_type, type, (
% 0.45/0.53 very_low: $i)).
% 0.45/0.53 tff(tptp_fun_T_0_type, type, (
% 0.45/0.53 tptp_fun_T_0: $i > $i)).
% 0.45/0.53 tff(smaller_type, type, (
% 0.45/0.53 smaller: ( $i * $i ) > $o)).
% 0.45/0.53 tff(1,plain,
% 0.45/0.53 (^[X: $i, T0: $i, T: $i] : refl((dissimilar(X, T0, T) <=> (~((~organization(X)) | (is_aligned(X, T0) <=> is_aligned(X, T))))) <=> (dissimilar(X, T0, T) <=> (~((~organization(X)) | (is_aligned(X, T0) <=> is_aligned(X, T))))))),
% 0.45/0.53 inference(bind,[status(th)],[])).
% 0.45/0.53 tff(2,plain,
% 0.45/0.53 (![X: $i, T0: $i, T: $i] : (dissimilar(X, T0, T) <=> (~((~organization(X)) | (is_aligned(X, T0) <=> is_aligned(X, T))))) <=> ![X: $i, T0: $i, T: $i] : (dissimilar(X, T0, T) <=> (~((~organization(X)) | (is_aligned(X, T0) <=> is_aligned(X, T)))))),
% 0.45/0.53 inference(quant_intro,[status(thm)],[1])).
% 0.45/0.53 tff(3,plain,
% 0.45/0.53 (^[X: $i, T0: $i, T: $i] : rewrite((dissimilar(X, T0, T) <=> (organization(X) & ((~is_aligned(X, T0)) <=> is_aligned(X, T)))) <=> (dissimilar(X, T0, T) <=> (~((~organization(X)) | (is_aligned(X, T0) <=> is_aligned(X, T))))))),
% 0.45/0.53 inference(bind,[status(th)],[])).
% 0.45/0.53 tff(4,plain,
% 0.45/0.53 (![X: $i, T0: $i, T: $i] : (dissimilar(X, T0, T) <=> (organization(X) & ((~is_aligned(X, T0)) <=> is_aligned(X, T)))) <=> ![X: $i, T0: $i, T: $i] : (dissimilar(X, T0, T) <=> (~((~organization(X)) | (is_aligned(X, T0) <=> is_aligned(X, T)))))),
% 0.45/0.53 inference(quant_intro,[status(thm)],[3])).
% 0.45/0.53 tff(5,plain,
% 0.45/0.53 (![X: $i, T0: $i, T: $i] : (dissimilar(X, T0, T) <=> (organization(X) & ((~is_aligned(X, T0)) <=> is_aligned(X, T)))) <=> ![X: $i, T0: $i, T: $i] : (dissimilar(X, T0, T) <=> (organization(X) & ((~is_aligned(X, T0)) <=> is_aligned(X, T))))),
% 0.45/0.53 inference(rewrite,[status(thm)],[])).
% 0.45/0.53 tff(6,plain,
% 0.45/0.53 (^[X: $i, T0: $i, T: $i] : rewrite((dissimilar(X, T0, T) <=> (organization(X) & (~(is_aligned(X, T0) <=> is_aligned(X, T))))) <=> (dissimilar(X, T0, T) <=> (organization(X) & ((~is_aligned(X, T0)) <=> is_aligned(X, T)))))),
% 0.45/0.53 inference(bind,[status(th)],[])).
% 0.45/0.53 tff(7,plain,
% 0.45/0.53 (![X: $i, T0: $i, T: $i] : (dissimilar(X, T0, T) <=> (organization(X) & (~(is_aligned(X, T0) <=> is_aligned(X, T))))) <=> ![X: $i, T0: $i, T: $i] : (dissimilar(X, T0, T) <=> (organization(X) & ((~is_aligned(X, T0)) <=> is_aligned(X, T))))),
% 0.45/0.53 inference(quant_intro,[status(thm)],[6])).
% 0.45/0.53 tff(8,axiom,(![X: $i, T0: $i, T: $i] : (dissimilar(X, T0, T) <=> (organization(X) & (~(is_aligned(X, T0) <=> is_aligned(X, T)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','definition_2')).
% 0.45/0.53 tff(9,plain,
% 0.45/0.53 (![X: $i, T0: $i, T: $i] : (dissimilar(X, T0, T) <=> (organization(X) & ((~is_aligned(X, T0)) <=> is_aligned(X, T))))),
% 0.45/0.53 inference(modus_ponens,[status(thm)],[8, 7])).
% 0.45/0.53 tff(10,plain,
% 0.45/0.53 (![X: $i, T0: $i, T: $i] : (dissimilar(X, T0, T) <=> (organization(X) & ((~is_aligned(X, T0)) <=> is_aligned(X, T))))),
% 0.45/0.53 inference(modus_ponens,[status(thm)],[9, 5])).
% 0.45/0.53 tff(11,plain,(
% 0.45/0.53 ![X: $i, T0: $i, T: $i] : (dissimilar(X, T0, T) <=> (organization(X) & ((~is_aligned(X, T0)) <=> is_aligned(X, T))))),
% 0.45/0.53 inference(skolemize,[status(sab)],[10])).
% 0.45/0.53 tff(12,plain,
% 0.45/0.53 (![X: $i, T0: $i, T: $i] : (dissimilar(X, T0, T) <=> (~((~organization(X)) | (is_aligned(X, T0) <=> is_aligned(X, T)))))),
% 0.45/0.53 inference(modus_ponens,[status(thm)],[11, 4])).
% 0.45/0.53 tff(13,plain,
% 0.45/0.53 (![X: $i, T0: $i, T: $i] : (dissimilar(X, T0, T) <=> (~((~organization(X)) | (is_aligned(X, T0) <=> is_aligned(X, T)))))),
% 0.45/0.53 inference(modus_ponens,[status(thm)],[12, 2])).
% 0.45/0.53 tff(14,plain,
% 0.45/0.53 ((~![X: $i, T0: $i, T: $i] : (dissimilar(X, T0, T) <=> (~((~organization(X)) | (is_aligned(X, T0) <=> is_aligned(X, T)))))) | (dissimilar(X!4, T0!3, T1!2) <=> (~((~organization(X!4)) | (is_aligned(X!4, T0!3) <=> is_aligned(X!4, T1!2)))))),
% 0.45/0.53 inference(quant_inst,[status(thm)],[])).
% 0.45/0.53 tff(15,plain,
% 0.45/0.53 (dissimilar(X!4, T0!3, T1!2) <=> (~((~organization(X!4)) | (is_aligned(X!4, T0!3) <=> is_aligned(X!4, T1!2))))),
% 0.45/0.53 inference(unit_resolution,[status(thm)],[14, 13])).
% 0.45/0.53 tff(16,assumption,(has_immunity(X!4, T0!3)), introduced(assumption)).
% 0.45/0.53 tff(17,plain,
% 0.45/0.53 ((~![X: $i, T0: $i, T1: $i, T2: $i] : ((~(organization(X) & fragile_position(X) & (~has_endowment(X)) & (age(X, T0) = zero) & greater(sigma, zero) & smaller_or_equal(age(X, T1), sigma) & greater(age(X, T2), sigma))) | (greater(hazard_of_mortality(X, T2), hazard_of_mortality(X, T1)) & (hazard_of_mortality(X, T1) = hazard_of_mortality(X, T0))))) <=> (~![X: $i, T0: $i, T1: $i, T2: $i] : ((~(organization(X) & fragile_position(X) & (~has_endowment(X)) & (age(X, T0) = zero) & greater(sigma, zero) & smaller_or_equal(age(X, T1), sigma) & greater(age(X, T2), sigma))) | (greater(hazard_of_mortality(X, T2), hazard_of_mortality(X, T1)) & (hazard_of_mortality(X, T1) = hazard_of_mortality(X, T0)))))),
% 0.45/0.53 inference(rewrite,[status(thm)],[])).
% 0.45/0.53 tff(18,plain,
% 0.45/0.53 ((~![X: $i, T0: $i, T1: $i, T2: $i] : (((((((organization(X) & fragile_position(X)) & (~has_endowment(X))) & (age(X, T0) = zero)) & greater(sigma, zero)) & smaller_or_equal(age(X, T1), sigma)) & greater(age(X, T2), sigma)) => (greater(hazard_of_mortality(X, T2), hazard_of_mortality(X, T1)) & (hazard_of_mortality(X, T1) = hazard_of_mortality(X, T0))))) <=> (~![X: $i, T0: $i, T1: $i, T2: $i] : ((~(organization(X) & fragile_position(X) & (~has_endowment(X)) & (age(X, T0) = zero) & greater(sigma, zero) & smaller_or_equal(age(X, T1), sigma) & greater(age(X, T2), sigma))) | (greater(hazard_of_mortality(X, T2), hazard_of_mortality(X, T1)) & (hazard_of_mortality(X, T1) = hazard_of_mortality(X, T0)))))),
% 0.45/0.53 inference(rewrite,[status(thm)],[])).
% 0.45/0.53 tff(19,axiom,(~![X: $i, T0: $i, T1: $i, T2: $i] : (((((((organization(X) & fragile_position(X)) & (~has_endowment(X))) & (age(X, T0) = zero)) & greater(sigma, zero)) & smaller_or_equal(age(X, T1), sigma)) & greater(age(X, T2), sigma)) => (greater(hazard_of_mortality(X, T2), hazard_of_mortality(X, T1)) & (hazard_of_mortality(X, T1) = hazard_of_mortality(X, T0))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','theorem_7')).
% 0.45/0.53 tff(20,plain,
% 0.45/0.53 (~![X: $i, T0: $i, T1: $i, T2: $i] : ((~(organization(X) & fragile_position(X) & (~has_endowment(X)) & (age(X, T0) = zero) & greater(sigma, zero) & smaller_or_equal(age(X, T1), sigma) & greater(age(X, T2), sigma))) | (greater(hazard_of_mortality(X, T2), hazard_of_mortality(X, T1)) & (hazard_of_mortality(X, T1) = hazard_of_mortality(X, T0))))),
% 0.45/0.53 inference(modus_ponens,[status(thm)],[19, 18])).
% 0.45/0.53 tff(21,plain,
% 0.45/0.53 (~![X: $i, T0: $i, T1: $i, T2: $i] : ((~(organization(X) & fragile_position(X) & (~has_endowment(X)) & (age(X, T0) = zero) & greater(sigma, zero) & smaller_or_equal(age(X, T1), sigma) & greater(age(X, T2), sigma))) | (greater(hazard_of_mortality(X, T2), hazard_of_mortality(X, T1)) & (hazard_of_mortality(X, T1) = hazard_of_mortality(X, T0))))),
% 0.45/0.53 inference(modus_ponens,[status(thm)],[20, 17])).
% 0.45/0.53 tff(22,plain,
% 0.45/0.53 (~![X: $i, T0: $i, T1: $i, T2: $i] : ((~(organization(X) & fragile_position(X) & (~has_endowment(X)) & (age(X, T0) = zero) & greater(sigma, zero) & smaller_or_equal(age(X, T1), sigma) & greater(age(X, T2), sigma))) | (greater(hazard_of_mortality(X, T2), hazard_of_mortality(X, T1)) & (hazard_of_mortality(X, T1) = hazard_of_mortality(X, T0))))),
% 0.45/0.54 inference(modus_ponens,[status(thm)],[21, 17])).
% 0.45/0.54 tff(23,plain,
% 0.45/0.54 (~![X: $i, T0: $i, T1: $i, T2: $i] : ((~(organization(X) & fragile_position(X) & (~has_endowment(X)) & (age(X, T0) = zero) & greater(sigma, zero) & smaller_or_equal(age(X, T1), sigma) & greater(age(X, T2), sigma))) | (greater(hazard_of_mortality(X, T2), hazard_of_mortality(X, T1)) & (hazard_of_mortality(X, T1) = hazard_of_mortality(X, T0))))),
% 0.45/0.54 inference(modus_ponens,[status(thm)],[22, 17])).
% 0.45/0.54 tff(24,plain,
% 0.45/0.54 (~![X: $i, T0: $i, T1: $i, T2: $i] : ((~(organization(X) & fragile_position(X) & (~has_endowment(X)) & (age(X, T0) = zero) & greater(sigma, zero) & smaller_or_equal(age(X, T1), sigma) & greater(age(X, T2), sigma))) | (greater(hazard_of_mortality(X, T2), hazard_of_mortality(X, T1)) & (hazard_of_mortality(X, T1) = hazard_of_mortality(X, T0))))),
% 0.45/0.54 inference(modus_ponens,[status(thm)],[23, 17])).
% 0.45/0.54 tff(25,plain,
% 0.45/0.54 (~![X: $i, T0: $i, T1: $i, T2: $i] : ((~(organization(X) & fragile_position(X) & (~has_endowment(X)) & (age(X, T0) = zero) & greater(sigma, zero) & smaller_or_equal(age(X, T1), sigma) & greater(age(X, T2), sigma))) | (greater(hazard_of_mortality(X, T2), hazard_of_mortality(X, T1)) & (hazard_of_mortality(X, T1) = hazard_of_mortality(X, T0))))),
% 0.45/0.54 inference(modus_ponens,[status(thm)],[24, 17])).
% 0.45/0.54 tff(26,plain,
% 0.45/0.54 (~![X: $i, T0: $i, T1: $i, T2: $i] : ((~(organization(X) & fragile_position(X) & (~has_endowment(X)) & (age(X, T0) = zero) & greater(sigma, zero) & smaller_or_equal(age(X, T1), sigma) & greater(age(X, T2), sigma))) | (greater(hazard_of_mortality(X, T2), hazard_of_mortality(X, T1)) & (hazard_of_mortality(X, T1) = hazard_of_mortality(X, T0))))),
% 0.45/0.54 inference(modus_ponens,[status(thm)],[25, 17])).
% 0.45/0.54 tff(27,plain,(
% 0.45/0.54 ~((~(organization(X!4) & fragile_position(X!4) & (~has_endowment(X!4)) & (age(X!4, T0!3) = zero) & greater(sigma, zero) & smaller_or_equal(age(X!4, T1!2), sigma) & greater(age(X!4, T2!1), sigma))) | (greater(hazard_of_mortality(X!4, T2!1), hazard_of_mortality(X!4, T1!2)) & (hazard_of_mortality(X!4, T1!2) = hazard_of_mortality(X!4, T0!3))))),
% 0.45/0.54 inference(skolemize,[status(sab)],[26])).
% 0.45/0.54 tff(28,plain,
% 0.45/0.54 (organization(X!4) & fragile_position(X!4) & (~has_endowment(X!4)) & (age(X!4, T0!3) = zero) & greater(sigma, zero) & smaller_or_equal(age(X!4, T1!2), sigma) & greater(age(X!4, T2!1), sigma)),
% 0.45/0.54 inference(or_elim,[status(thm)],[27])).
% 0.45/0.54 tff(29,plain,
% 0.45/0.54 (~has_endowment(X!4)),
% 0.45/0.54 inference(and_elim,[status(thm)],[28])).
% 0.45/0.54 tff(30,plain,
% 0.45/0.54 (organization(X!4)),
% 0.45/0.54 inference(and_elim,[status(thm)],[28])).
% 0.45/0.54 tff(31,plain,
% 0.45/0.54 (^[X: $i, T: $i] : refl(((~has_immunity(X, T)) | has_endowment(X) | (~organization(X))) <=> ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X))))),
% 0.45/0.54 inference(bind,[status(th)],[])).
% 0.45/0.54 tff(32,plain,
% 0.45/0.54 (![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X))) <=> ![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))),
% 0.45/0.54 inference(quant_intro,[status(thm)],[31])).
% 0.45/0.54 tff(33,plain,
% 0.45/0.54 (^[X: $i, T: $i] : trans(monotonicity(trans(monotonicity(rewrite((organization(X) & (~has_endowment(X))) <=> (~(has_endowment(X) | (~organization(X))))), ((~(organization(X) & (~has_endowment(X)))) <=> (~(~(has_endowment(X) | (~organization(X))))))), rewrite((~(~(has_endowment(X) | (~organization(X))))) <=> (has_endowment(X) | (~organization(X)))), ((~(organization(X) & (~has_endowment(X)))) <=> (has_endowment(X) | (~organization(X))))), (((~has_immunity(X, T)) | (~(organization(X) & (~has_endowment(X))))) <=> ((~has_immunity(X, T)) | (has_endowment(X) | (~organization(X)))))), rewrite(((~has_immunity(X, T)) | (has_endowment(X) | (~organization(X)))) <=> ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))), (((~has_immunity(X, T)) | (~(organization(X) & (~has_endowment(X))))) <=> ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))))),
% 0.45/0.54 inference(bind,[status(th)],[])).
% 0.45/0.54 tff(34,plain,
% 0.45/0.54 (![X: $i, T: $i] : ((~has_immunity(X, T)) | (~(organization(X) & (~has_endowment(X))))) <=> ![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))),
% 0.45/0.54 inference(quant_intro,[status(thm)],[33])).
% 0.45/0.54 tff(35,plain,
% 0.45/0.54 (![X: $i, T: $i] : ((~has_immunity(X, T)) | (~(organization(X) & (~has_endowment(X))))) <=> ![X: $i, T: $i] : ((~has_immunity(X, T)) | (~(organization(X) & (~has_endowment(X)))))),
% 0.45/0.54 inference(rewrite,[status(thm)],[])).
% 0.45/0.54 tff(36,plain,
% 0.45/0.54 (^[X: $i, T: $i] : rewrite(((organization(X) & (~has_endowment(X))) => (~has_immunity(X, T))) <=> ((~has_immunity(X, T)) | (~(organization(X) & (~has_endowment(X))))))),
% 0.45/0.54 inference(bind,[status(th)],[])).
% 0.45/0.54 tff(37,plain,
% 0.45/0.54 (![X: $i, T: $i] : ((organization(X) & (~has_endowment(X))) => (~has_immunity(X, T))) <=> ![X: $i, T: $i] : ((~has_immunity(X, T)) | (~(organization(X) & (~has_endowment(X)))))),
% 0.45/0.54 inference(quant_intro,[status(thm)],[36])).
% 0.45/0.54 tff(38,axiom,(![X: $i, T: $i] : ((organization(X) & (~has_endowment(X))) => (~has_immunity(X, T)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','assumption_1')).
% 0.45/0.54 tff(39,plain,
% 0.45/0.54 (![X: $i, T: $i] : ((~has_immunity(X, T)) | (~(organization(X) & (~has_endowment(X)))))),
% 0.45/0.54 inference(modus_ponens,[status(thm)],[38, 37])).
% 0.45/0.54 tff(40,plain,
% 0.45/0.54 (![X: $i, T: $i] : ((~has_immunity(X, T)) | (~(organization(X) & (~has_endowment(X)))))),
% 0.45/0.54 inference(modus_ponens,[status(thm)],[39, 35])).
% 0.45/0.54 tff(41,plain,(
% 0.45/0.54 ![X: $i, T: $i] : ((~has_immunity(X, T)) | (~(organization(X) & (~has_endowment(X)))))),
% 0.45/0.54 inference(skolemize,[status(sab)],[40])).
% 0.45/0.54 tff(42,plain,
% 0.45/0.54 (![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))),
% 0.45/0.54 inference(modus_ponens,[status(thm)],[41, 34])).
% 0.45/0.54 tff(43,plain,
% 0.45/0.54 (![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))),
% 0.45/0.54 inference(modus_ponens,[status(thm)],[42, 32])).
% 0.45/0.54 tff(44,plain,
% 0.45/0.54 (((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | (has_endowment(X!4) | (~organization(X!4)) | (~has_immunity(X!4, T0!3)))) <=> ((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | has_endowment(X!4) | (~organization(X!4)) | (~has_immunity(X!4, T0!3)))),
% 0.45/0.54 inference(rewrite,[status(thm)],[])).
% 0.45/0.54 tff(45,plain,
% 0.45/0.54 (((~has_immunity(X!4, T0!3)) | has_endowment(X!4) | (~organization(X!4))) <=> (has_endowment(X!4) | (~organization(X!4)) | (~has_immunity(X!4, T0!3)))),
% 0.45/0.54 inference(rewrite,[status(thm)],[])).
% 0.45/0.54 tff(46,plain,
% 0.45/0.54 (((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | ((~has_immunity(X!4, T0!3)) | has_endowment(X!4) | (~organization(X!4)))) <=> ((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | (has_endowment(X!4) | (~organization(X!4)) | (~has_immunity(X!4, T0!3))))),
% 0.45/0.54 inference(monotonicity,[status(thm)],[45])).
% 0.45/0.54 tff(47,plain,
% 0.45/0.54 (((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | ((~has_immunity(X!4, T0!3)) | has_endowment(X!4) | (~organization(X!4)))) <=> ((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | has_endowment(X!4) | (~organization(X!4)) | (~has_immunity(X!4, T0!3)))),
% 0.45/0.54 inference(transitivity,[status(thm)],[46, 44])).
% 0.45/0.54 tff(48,plain,
% 0.45/0.54 ((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | ((~has_immunity(X!4, T0!3)) | has_endowment(X!4) | (~organization(X!4)))),
% 0.45/0.54 inference(quant_inst,[status(thm)],[])).
% 0.45/0.54 tff(49,plain,
% 0.45/0.54 ((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | has_endowment(X!4) | (~organization(X!4)) | (~has_immunity(X!4, T0!3))),
% 0.45/0.54 inference(modus_ponens,[status(thm)],[48, 47])).
% 0.45/0.54 tff(50,plain,
% 0.45/0.54 ($false),
% 0.45/0.54 inference(unit_resolution,[status(thm)],[49, 43, 30, 29, 16])).
% 0.45/0.54 tff(51,plain,(~has_immunity(X!4, T0!3)), inference(lemma,lemma(discharge,[]))).
% 0.45/0.54 tff(52,plain,
% 0.45/0.54 (^[X: $i, T: $i] : refl(((~organization(X)) | (~((~((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low))) | (~(has_immunity(X, T) | (~((~((~positional_advantage(X, T)) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = low))) | (~((~positional_advantage(X, T)) | is_aligned(X, T) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(positional_advantage(X, T) | is_aligned(X, T) | (hazard_of_mortality(X, T) = high)))))))))) <=> ((~organization(X)) | (~((~((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low))) | (~(has_immunity(X, T) | (~((~((~positional_advantage(X, T)) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = low))) | (~((~positional_advantage(X, T)) | is_aligned(X, T) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(positional_advantage(X, T) | is_aligned(X, T) | (hazard_of_mortality(X, T) = high)))))))))))),
% 0.45/0.54 inference(bind,[status(th)],[])).
% 0.45/0.54 tff(53,plain,
% 0.45/0.54 (![X: $i, T: $i] : ((~organization(X)) | (~((~((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low))) | (~(has_immunity(X, T) | (~((~((~positional_advantage(X, T)) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = low))) | (~((~positional_advantage(X, T)) | is_aligned(X, T) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(positional_advantage(X, T) | is_aligned(X, T) | (hazard_of_mortality(X, T) = high)))))))))) <=> ![X: $i, T: $i] : ((~organization(X)) | (~((~((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low))) | (~(has_immunity(X, T) | (~((~((~positional_advantage(X, T)) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = low))) | (~((~positional_advantage(X, T)) | is_aligned(X, T) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(positional_advantage(X, T) | is_aligned(X, T) | (hazard_of_mortality(X, T) = high))))))))))),
% 0.45/0.54 inference(quant_intro,[status(thm)],[52])).
% 0.45/0.54 tff(54,plain,
% 0.45/0.54 (^[X: $i, T: $i] : rewrite(((~organization(X)) | (((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low)) & (has_immunity(X, T) | (((~(is_aligned(X, T) & positional_advantage(X, T))) | (hazard_of_mortality(X, T) = low)) & ((~((~is_aligned(X, T)) & positional_advantage(X, T))) | (hazard_of_mortality(X, T) = mod1)) & ((~(is_aligned(X, T) & (~positional_advantage(X, T)))) | (hazard_of_mortality(X, T) = mod2)) & ((~((~is_aligned(X, T)) & (~positional_advantage(X, T)))) | (hazard_of_mortality(X, T) = high)))))) <=> ((~organization(X)) | (~((~((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low))) | (~(has_immunity(X, T) | (~((~((~positional_advantage(X, T)) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = low))) | (~((~positional_advantage(X, T)) | is_aligned(X, T) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(positional_advantage(X, T) | is_aligned(X, T) | (hazard_of_mortality(X, T) = high)))))))))))),
% 0.45/0.54 inference(bind,[status(th)],[])).
% 0.45/0.54 tff(55,plain,
% 0.45/0.54 (![X: $i, T: $i] : ((~organization(X)) | (((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low)) & (has_immunity(X, T) | (((~(is_aligned(X, T) & positional_advantage(X, T))) | (hazard_of_mortality(X, T) = low)) & ((~((~is_aligned(X, T)) & positional_advantage(X, T))) | (hazard_of_mortality(X, T) = mod1)) & ((~(is_aligned(X, T) & (~positional_advantage(X, T)))) | (hazard_of_mortality(X, T) = mod2)) & ((~((~is_aligned(X, T)) & (~positional_advantage(X, T)))) | (hazard_of_mortality(X, T) = high)))))) <=> ![X: $i, T: $i] : ((~organization(X)) | (~((~((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low))) | (~(has_immunity(X, T) | (~((~((~positional_advantage(X, T)) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = low))) | (~((~positional_advantage(X, T)) | is_aligned(X, T) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(positional_advantage(X, T) | is_aligned(X, T) | (hazard_of_mortality(X, T) = high))))))))))),
% 0.45/0.54 inference(quant_intro,[status(thm)],[54])).
% 0.45/0.54 tff(56,plain,
% 0.45/0.54 (![X: $i, T: $i] : ((~organization(X)) | (((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low)) & (has_immunity(X, T) | (((~(is_aligned(X, T) & positional_advantage(X, T))) | (hazard_of_mortality(X, T) = low)) & ((~((~is_aligned(X, T)) & positional_advantage(X, T))) | (hazard_of_mortality(X, T) = mod1)) & ((~(is_aligned(X, T) & (~positional_advantage(X, T)))) | (hazard_of_mortality(X, T) = mod2)) & ((~((~is_aligned(X, T)) & (~positional_advantage(X, T)))) | (hazard_of_mortality(X, T) = high)))))) <=> ![X: $i, T: $i] : ((~organization(X)) | (((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low)) & (has_immunity(X, T) | (((~(is_aligned(X, T) & positional_advantage(X, T))) | (hazard_of_mortality(X, T) = low)) & ((~((~is_aligned(X, T)) & positional_advantage(X, T))) | (hazard_of_mortality(X, T) = mod1)) & ((~(is_aligned(X, T) & (~positional_advantage(X, T)))) | (hazard_of_mortality(X, T) = mod2)) & ((~((~is_aligned(X, T)) & (~positional_advantage(X, T)))) | (hazard_of_mortality(X, T) = high))))))),
% 0.45/0.54 inference(rewrite,[status(thm)],[])).
% 0.45/0.54 tff(57,plain,
% 0.45/0.54 (^[X: $i, T: $i] : trans(monotonicity(rewrite(((has_immunity(X, T) => (hazard_of_mortality(X, T) = very_low)) & ((~has_immunity(X, T)) => (((((is_aligned(X, T) & positional_advantage(X, T)) => (hazard_of_mortality(X, T) = low)) & (((~is_aligned(X, T)) & positional_advantage(X, T)) => (hazard_of_mortality(X, T) = mod1))) & ((is_aligned(X, T) & (~positional_advantage(X, T))) => (hazard_of_mortality(X, T) = mod2))) & (((~is_aligned(X, T)) & (~positional_advantage(X, T))) => (hazard_of_mortality(X, T) = high))))) <=> (((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low)) & (has_immunity(X, T) | (((~(is_aligned(X, T) & positional_advantage(X, T))) | (hazard_of_mortality(X, T) = low)) & ((~((~is_aligned(X, T)) & positional_advantage(X, T))) | (hazard_of_mortality(X, T) = mod1)) & ((~(is_aligned(X, T) & (~positional_advantage(X, T)))) | (hazard_of_mortality(X, T) = mod2)) & ((~((~is_aligned(X, T)) & (~positional_advantage(X, T)))) | (hazard_of_mortality(X, T) = high)))))), ((organization(X) => ((has_immunity(X, T) => (hazard_of_mortality(X, T) = very_low)) & ((~has_immunity(X, T)) => (((((is_aligned(X, T) & positional_advantage(X, T)) => (hazard_of_mortality(X, T) = low)) & (((~is_aligned(X, T)) & positional_advantage(X, T)) => (hazard_of_mortality(X, T) = mod1))) & ((is_aligned(X, T) & (~positional_advantage(X, T))) => (hazard_of_mortality(X, T) = mod2))) & (((~is_aligned(X, T)) & (~positional_advantage(X, T))) => (hazard_of_mortality(X, T) = high)))))) <=> (organization(X) => (((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low)) & (has_immunity(X, T) | (((~(is_aligned(X, T) & positional_advantage(X, T))) | (hazard_of_mortality(X, T) = low)) & ((~((~is_aligned(X, T)) & positional_advantage(X, T))) | (hazard_of_mortality(X, T) = mod1)) & ((~(is_aligned(X, T) & (~positional_advantage(X, T)))) | (hazard_of_mortality(X, T) = mod2)) & ((~((~is_aligned(X, T)) & (~positional_advantage(X, T)))) | (hazard_of_mortality(X, T) = high)))))))), rewrite((organization(X) => (((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low)) & (has_immunity(X, T) | (((~(is_aligned(X, T) & positional_advantage(X, T))) | (hazard_of_mortality(X, T) = low)) & ((~((~is_aligned(X, T)) & positional_advantage(X, T))) | (hazard_of_mortality(X, T) = mod1)) & ((~(is_aligned(X, T) & (~positional_advantage(X, T)))) | (hazard_of_mortality(X, T) = mod2)) & ((~((~is_aligned(X, T)) & (~positional_advantage(X, T)))) | (hazard_of_mortality(X, T) = high)))))) <=> ((~organization(X)) | (((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low)) & (has_immunity(X, T) | (((~(is_aligned(X, T) & positional_advantage(X, T))) | (hazard_of_mortality(X, T) = low)) & ((~((~is_aligned(X, T)) & positional_advantage(X, T))) | (hazard_of_mortality(X, T) = mod1)) & ((~(is_aligned(X, T) & (~positional_advantage(X, T)))) | (hazard_of_mortality(X, T) = mod2)) & ((~((~is_aligned(X, T)) & (~positional_advantage(X, T)))) | (hazard_of_mortality(X, T) = high))))))), ((organization(X) => ((has_immunity(X, T) => (hazard_of_mortality(X, T) = very_low)) & ((~has_immunity(X, T)) => (((((is_aligned(X, T) & positional_advantage(X, T)) => (hazard_of_mortality(X, T) = low)) & (((~is_aligned(X, T)) & positional_advantage(X, T)) => (hazard_of_mortality(X, T) = mod1))) & ((is_aligned(X, T) & (~positional_advantage(X, T))) => (hazard_of_mortality(X, T) = mod2))) & (((~is_aligned(X, T)) & (~positional_advantage(X, T))) => (hazard_of_mortality(X, T) = high)))))) <=> ((~organization(X)) | (((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low)) & (has_immunity(X, T) | (((~(is_aligned(X, T) & positional_advantage(X, T))) | (hazard_of_mortality(X, T) = low)) & ((~((~is_aligned(X, T)) & positional_advantage(X, T))) | (hazard_of_mortality(X, T) = mod1)) & ((~(is_aligned(X, T) & (~positional_advantage(X, T)))) | (hazard_of_mortality(X, T) = mod2)) & ((~((~is_aligned(X, T)) & (~positional_advantage(X, T)))) | (hazard_of_mortality(X, T) = high))))))))),
% 0.45/0.54 inference(bind,[status(th)],[])).
% 0.45/0.54 tff(58,plain,
% 0.45/0.54 (![X: $i, T: $i] : (organization(X) => ((has_immunity(X, T) => (hazard_of_mortality(X, T) = very_low)) & ((~has_immunity(X, T)) => (((((is_aligned(X, T) & positional_advantage(X, T)) => (hazard_of_mortality(X, T) = low)) & (((~is_aligned(X, T)) & positional_advantage(X, T)) => (hazard_of_mortality(X, T) = mod1))) & ((is_aligned(X, T) & (~positional_advantage(X, T))) => (hazard_of_mortality(X, T) = mod2))) & (((~is_aligned(X, T)) & (~positional_advantage(X, T))) => (hazard_of_mortality(X, T) = high)))))) <=> ![X: $i, T: $i] : ((~organization(X)) | (((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low)) & (has_immunity(X, T) | (((~(is_aligned(X, T) & positional_advantage(X, T))) | (hazard_of_mortality(X, T) = low)) & ((~((~is_aligned(X, T)) & positional_advantage(X, T))) | (hazard_of_mortality(X, T) = mod1)) & ((~(is_aligned(X, T) & (~positional_advantage(X, T)))) | (hazard_of_mortality(X, T) = mod2)) & ((~((~is_aligned(X, T)) & (~positional_advantage(X, T)))) | (hazard_of_mortality(X, T) = high))))))),
% 0.45/0.54 inference(quant_intro,[status(thm)],[57])).
% 0.45/0.54 tff(59,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')).
% 0.45/0.54 tff(60,plain,
% 0.45/0.54 (![X: $i, T: $i] : ((~organization(X)) | (((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low)) & (has_immunity(X, T) | (((~(is_aligned(X, T) & positional_advantage(X, T))) | (hazard_of_mortality(X, T) = low)) & ((~((~is_aligned(X, T)) & positional_advantage(X, T))) | (hazard_of_mortality(X, T) = mod1)) & ((~(is_aligned(X, T) & (~positional_advantage(X, T)))) | (hazard_of_mortality(X, T) = mod2)) & ((~((~is_aligned(X, T)) & (~positional_advantage(X, T)))) | (hazard_of_mortality(X, T) = high))))))),
% 0.45/0.54 inference(modus_ponens,[status(thm)],[59, 58])).
% 0.45/0.54 tff(61,plain,
% 0.45/0.54 (![X: $i, T: $i] : ((~organization(X)) | (((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low)) & (has_immunity(X, T) | (((~(is_aligned(X, T) & positional_advantage(X, T))) | (hazard_of_mortality(X, T) = low)) & ((~((~is_aligned(X, T)) & positional_advantage(X, T))) | (hazard_of_mortality(X, T) = mod1)) & ((~(is_aligned(X, T) & (~positional_advantage(X, T)))) | (hazard_of_mortality(X, T) = mod2)) & ((~((~is_aligned(X, T)) & (~positional_advantage(X, T)))) | (hazard_of_mortality(X, T) = high))))))),
% 0.45/0.54 inference(modus_ponens,[status(thm)],[60, 56])).
% 0.45/0.54 tff(62,plain,(
% 0.45/0.54 ![X: $i, T: $i] : ((~organization(X)) | (((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low)) & (has_immunity(X, T) | (((~(is_aligned(X, T) & positional_advantage(X, T))) | (hazard_of_mortality(X, T) = low)) & ((~((~is_aligned(X, T)) & positional_advantage(X, T))) | (hazard_of_mortality(X, T) = mod1)) & ((~(is_aligned(X, T) & (~positional_advantage(X, T)))) | (hazard_of_mortality(X, T) = mod2)) & ((~((~is_aligned(X, T)) & (~positional_advantage(X, T)))) | (hazard_of_mortality(X, T) = high))))))),
% 0.47/0.54 inference(skolemize,[status(sab)],[61])).
% 0.47/0.54 tff(63,plain,
% 0.47/0.54 (![X: $i, T: $i] : ((~organization(X)) | (~((~((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low))) | (~(has_immunity(X, T) | (~((~((~positional_advantage(X, T)) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = low))) | (~((~positional_advantage(X, T)) | is_aligned(X, T) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(positional_advantage(X, T) | is_aligned(X, T) | (hazard_of_mortality(X, T) = high))))))))))),
% 0.47/0.54 inference(modus_ponens,[status(thm)],[62, 55])).
% 0.47/0.54 tff(64,plain,
% 0.47/0.54 (![X: $i, T: $i] : ((~organization(X)) | (~((~((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low))) | (~(has_immunity(X, T) | (~((~((~positional_advantage(X, T)) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = low))) | (~((~positional_advantage(X, T)) | is_aligned(X, T) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(positional_advantage(X, T) | is_aligned(X, T) | (hazard_of_mortality(X, T) = high))))))))))),
% 0.47/0.54 inference(modus_ponens,[status(thm)],[63, 53])).
% 0.47/0.54 tff(65,plain,
% 0.47/0.54 (((~![X: $i, T: $i] : ((~organization(X)) | (~((~((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low))) | (~(has_immunity(X, T) | (~((~((~positional_advantage(X, T)) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = low))) | (~((~positional_advantage(X, T)) | is_aligned(X, T) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(positional_advantage(X, T) | is_aligned(X, T) | (hazard_of_mortality(X, T) = high))))))))))) | ((~organization(X!4)) | (~((~((~has_immunity(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = very_low))) | (~(has_immunity(X!4, T0!3) | (~((~((~positional_advantage(X!4, T0!3)) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = low))) | (~((~positional_advantage(X!4, T0!3)) | is_aligned(X!4, T0!3) | (hazard_of_mortality(X!4, T0!3) = mod1))) | (~(positional_advantage(X!4, T0!3) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = mod2))) | (~(is_aligned(X!4, T0!3) | positional_advantage(X!4, T0!3) | (hazard_of_mortality(X!4, T0!3) = high))))))))))) <=> ((~![X: $i, T: $i] : ((~organization(X)) | (~((~((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low))) | (~(has_immunity(X, T) | (~((~((~positional_advantage(X, T)) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = low))) | (~((~positional_advantage(X, T)) | is_aligned(X, T) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(positional_advantage(X, T) | is_aligned(X, T) | (hazard_of_mortality(X, T) = high))))))))))) | (~organization(X!4)) | (~((~((~has_immunity(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = very_low))) | (~(has_immunity(X!4, T0!3) | (~((~((~positional_advantage(X!4, T0!3)) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = low))) | (~((~positional_advantage(X!4, T0!3)) | is_aligned(X!4, T0!3) | (hazard_of_mortality(X!4, T0!3) = mod1))) | (~(positional_advantage(X!4, T0!3) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = mod2))) | (~(is_aligned(X!4, T0!3) | positional_advantage(X!4, T0!3) | (hazard_of_mortality(X!4, T0!3) = high))))))))))),
% 0.47/0.54 inference(rewrite,[status(thm)],[])).
% 0.47/0.54 tff(66,plain,
% 0.47/0.54 (((~organization(X!4)) | (~((~((~has_immunity(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = very_low))) | (~(has_immunity(X!4, T0!3) | (~((~((~positional_advantage(X!4, T0!3)) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = low))) | (~((~positional_advantage(X!4, T0!3)) | is_aligned(X!4, T0!3) | (hazard_of_mortality(X!4, T0!3) = mod1))) | (~(positional_advantage(X!4, T0!3) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = mod2))) | (~(positional_advantage(X!4, T0!3) | is_aligned(X!4, T0!3) | (hazard_of_mortality(X!4, T0!3) = high)))))))))) <=> ((~organization(X!4)) | (~((~((~has_immunity(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = very_low))) | (~(has_immunity(X!4, T0!3) | (~((~((~positional_advantage(X!4, T0!3)) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = low))) | (~((~positional_advantage(X!4, T0!3)) | is_aligned(X!4, T0!3) | (hazard_of_mortality(X!4, T0!3) = mod1))) | (~(positional_advantage(X!4, T0!3) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = mod2))) | (~(is_aligned(X!4, T0!3) | positional_advantage(X!4, T0!3) | (hazard_of_mortality(X!4, T0!3) = high))))))))))),
% 0.47/0.54 inference(rewrite,[status(thm)],[])).
% 0.47/0.54 tff(67,plain,
% 0.47/0.54 (((~![X: $i, T: $i] : ((~organization(X)) | (~((~((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low))) | (~(has_immunity(X, T) | (~((~((~positional_advantage(X, T)) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = low))) | (~((~positional_advantage(X, T)) | is_aligned(X, T) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(positional_advantage(X, T) | is_aligned(X, T) | (hazard_of_mortality(X, T) = high))))))))))) | ((~organization(X!4)) | (~((~((~has_immunity(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = very_low))) | (~(has_immunity(X!4, T0!3) | (~((~((~positional_advantage(X!4, T0!3)) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = low))) | (~((~positional_advantage(X!4, T0!3)) | is_aligned(X!4, T0!3) | (hazard_of_mortality(X!4, T0!3) = mod1))) | (~(positional_advantage(X!4, T0!3) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = mod2))) | (~(positional_advantage(X!4, T0!3) | is_aligned(X!4, T0!3) | (hazard_of_mortality(X!4, T0!3) = high))))))))))) <=> ((~![X: $i, T: $i] : ((~organization(X)) | (~((~((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low))) | (~(has_immunity(X, T) | (~((~((~positional_advantage(X, T)) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = low))) | (~((~positional_advantage(X, T)) | is_aligned(X, T) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(positional_advantage(X, T) | is_aligned(X, T) | (hazard_of_mortality(X, T) = high))))))))))) | ((~organization(X!4)) | (~((~((~has_immunity(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = very_low))) | (~(has_immunity(X!4, T0!3) | (~((~((~positional_advantage(X!4, T0!3)) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = low))) | (~((~positional_advantage(X!4, T0!3)) | is_aligned(X!4, T0!3) | (hazard_of_mortality(X!4, T0!3) = mod1))) | (~(positional_advantage(X!4, T0!3) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = mod2))) | (~(is_aligned(X!4, T0!3) | positional_advantage(X!4, T0!3) | (hazard_of_mortality(X!4, T0!3) = high)))))))))))),
% 0.47/0.54 inference(monotonicity,[status(thm)],[66])).
% 0.47/0.54 tff(68,plain,
% 0.47/0.54 (((~![X: $i, T: $i] : ((~organization(X)) | (~((~((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low))) | (~(has_immunity(X, T) | (~((~((~positional_advantage(X, T)) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = low))) | (~((~positional_advantage(X, T)) | is_aligned(X, T) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(positional_advantage(X, T) | is_aligned(X, T) | (hazard_of_mortality(X, T) = high))))))))))) | ((~organization(X!4)) | (~((~((~has_immunity(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = very_low))) | (~(has_immunity(X!4, T0!3) | (~((~((~positional_advantage(X!4, T0!3)) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = low))) | (~((~positional_advantage(X!4, T0!3)) | is_aligned(X!4, T0!3) | (hazard_of_mortality(X!4, T0!3) = mod1))) | (~(positional_advantage(X!4, T0!3) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = mod2))) | (~(positional_advantage(X!4, T0!3) | is_aligned(X!4, T0!3) | (hazard_of_mortality(X!4, T0!3) = high))))))))))) <=> ((~![X: $i, T: $i] : ((~organization(X)) | (~((~((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low))) | (~(has_immunity(X, T) | (~((~((~positional_advantage(X, T)) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = low))) | (~((~positional_advantage(X, T)) | is_aligned(X, T) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(positional_advantage(X, T) | is_aligned(X, T) | (hazard_of_mortality(X, T) = high))))))))))) | (~organization(X!4)) | (~((~((~has_immunity(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = very_low))) | (~(has_immunity(X!4, T0!3) | (~((~((~positional_advantage(X!4, T0!3)) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = low))) | (~((~positional_advantage(X!4, T0!3)) | is_aligned(X!4, T0!3) | (hazard_of_mortality(X!4, T0!3) = mod1))) | (~(positional_advantage(X!4, T0!3) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = mod2))) | (~(is_aligned(X!4, T0!3) | positional_advantage(X!4, T0!3) | (hazard_of_mortality(X!4, T0!3) = high))))))))))),
% 0.47/0.55 inference(transitivity,[status(thm)],[67, 65])).
% 0.47/0.55 tff(69,plain,
% 0.47/0.55 ((~![X: $i, T: $i] : ((~organization(X)) | (~((~((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low))) | (~(has_immunity(X, T) | (~((~((~positional_advantage(X, T)) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = low))) | (~((~positional_advantage(X, T)) | is_aligned(X, T) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(positional_advantage(X, T) | is_aligned(X, T) | (hazard_of_mortality(X, T) = high))))))))))) | ((~organization(X!4)) | (~((~((~has_immunity(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = very_low))) | (~(has_immunity(X!4, T0!3) | (~((~((~positional_advantage(X!4, T0!3)) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = low))) | (~((~positional_advantage(X!4, T0!3)) | is_aligned(X!4, T0!3) | (hazard_of_mortality(X!4, T0!3) = mod1))) | (~(positional_advantage(X!4, T0!3) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = mod2))) | (~(positional_advantage(X!4, T0!3) | is_aligned(X!4, T0!3) | (hazard_of_mortality(X!4, T0!3) = high))))))))))),
% 0.47/0.55 inference(quant_inst,[status(thm)],[])).
% 0.47/0.55 tff(70,plain,
% 0.47/0.55 ((~![X: $i, T: $i] : ((~organization(X)) | (~((~((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low))) | (~(has_immunity(X, T) | (~((~((~positional_advantage(X, T)) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = low))) | (~((~positional_advantage(X, T)) | is_aligned(X, T) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(positional_advantage(X, T) | is_aligned(X, T) | (hazard_of_mortality(X, T) = high))))))))))) | (~organization(X!4)) | (~((~((~has_immunity(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = very_low))) | (~(has_immunity(X!4, T0!3) | (~((~((~positional_advantage(X!4, T0!3)) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = low))) | (~((~positional_advantage(X!4, T0!3)) | is_aligned(X!4, T0!3) | (hazard_of_mortality(X!4, T0!3) = mod1))) | (~(positional_advantage(X!4, T0!3) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = mod2))) | (~(is_aligned(X!4, T0!3) | positional_advantage(X!4, T0!3) | (hazard_of_mortality(X!4, T0!3) = high)))))))))),
% 0.47/0.55 inference(modus_ponens,[status(thm)],[69, 68])).
% 0.47/0.55 tff(71,plain,
% 0.47/0.55 (~((~((~has_immunity(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = very_low))) | (~(has_immunity(X!4, T0!3) | (~((~((~positional_advantage(X!4, T0!3)) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = low))) | (~((~positional_advantage(X!4, T0!3)) | is_aligned(X!4, T0!3) | (hazard_of_mortality(X!4, T0!3) = mod1))) | (~(positional_advantage(X!4, T0!3) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = mod2))) | (~(is_aligned(X!4, T0!3) | positional_advantage(X!4, T0!3) | (hazard_of_mortality(X!4, T0!3) = high))))))))),
% 0.47/0.55 inference(unit_resolution,[status(thm)],[70, 64, 30])).
% 0.47/0.55 tff(72,plain,
% 0.47/0.55 (((~((~has_immunity(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = very_low))) | (~(has_immunity(X!4, T0!3) | (~((~((~positional_advantage(X!4, T0!3)) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = low))) | (~((~positional_advantage(X!4, T0!3)) | is_aligned(X!4, T0!3) | (hazard_of_mortality(X!4, T0!3) = mod1))) | (~(positional_advantage(X!4, T0!3) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = mod2))) | (~(is_aligned(X!4, T0!3) | positional_advantage(X!4, T0!3) | (hazard_of_mortality(X!4, T0!3) = high)))))))) | (has_immunity(X!4, T0!3) | (~((~((~positional_advantage(X!4, T0!3)) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = low))) | (~((~positional_advantage(X!4, T0!3)) | is_aligned(X!4, T0!3) | (hazard_of_mortality(X!4, T0!3) = mod1))) | (~(positional_advantage(X!4, T0!3) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = mod2))) | (~(is_aligned(X!4, T0!3) | positional_advantage(X!4, T0!3) | (hazard_of_mortality(X!4, T0!3) = high))))))),
% 0.47/0.55 inference(tautology,[status(thm)],[])).
% 0.47/0.55 tff(73,plain,
% 0.47/0.55 (has_immunity(X!4, T0!3) | (~((~((~positional_advantage(X!4, T0!3)) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = low))) | (~((~positional_advantage(X!4, T0!3)) | is_aligned(X!4, T0!3) | (hazard_of_mortality(X!4, T0!3) = mod1))) | (~(positional_advantage(X!4, T0!3) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = mod2))) | (~(is_aligned(X!4, T0!3) | positional_advantage(X!4, T0!3) | (hazard_of_mortality(X!4, T0!3) = high)))))),
% 0.47/0.55 inference(unit_resolution,[status(thm)],[72, 71])).
% 0.47/0.55 tff(74,plain,
% 0.47/0.55 ((~(has_immunity(X!4, T0!3) | (~((~((~positional_advantage(X!4, T0!3)) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = low))) | (~((~positional_advantage(X!4, T0!3)) | is_aligned(X!4, T0!3) | (hazard_of_mortality(X!4, T0!3) = mod1))) | (~(positional_advantage(X!4, T0!3) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = mod2))) | (~(is_aligned(X!4, T0!3) | positional_advantage(X!4, T0!3) | (hazard_of_mortality(X!4, T0!3) = high))))))) | has_immunity(X!4, T0!3) | (~((~((~positional_advantage(X!4, T0!3)) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = low))) | (~((~positional_advantage(X!4, T0!3)) | is_aligned(X!4, T0!3) | (hazard_of_mortality(X!4, T0!3) = mod1))) | (~(positional_advantage(X!4, T0!3) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = mod2))) | (~(is_aligned(X!4, T0!3) | positional_advantage(X!4, T0!3) | (hazard_of_mortality(X!4, T0!3) = high)))))),
% 0.47/0.55 inference(tautology,[status(thm)],[])).
% 0.47/0.55 tff(75,plain,
% 0.47/0.55 (has_immunity(X!4, T0!3) | (~((~((~positional_advantage(X!4, T0!3)) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = low))) | (~((~positional_advantage(X!4, T0!3)) | is_aligned(X!4, T0!3) | (hazard_of_mortality(X!4, T0!3) = mod1))) | (~(positional_advantage(X!4, T0!3) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = mod2))) | (~(is_aligned(X!4, T0!3) | positional_advantage(X!4, T0!3) | (hazard_of_mortality(X!4, T0!3) = high)))))),
% 0.47/0.55 inference(unit_resolution,[status(thm)],[74, 73])).
% 0.47/0.55 tff(76,plain,
% 0.47/0.55 (~((~((~positional_advantage(X!4, T0!3)) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = low))) | (~((~positional_advantage(X!4, T0!3)) | is_aligned(X!4, T0!3) | (hazard_of_mortality(X!4, T0!3) = mod1))) | (~(positional_advantage(X!4, T0!3) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = mod2))) | (~(is_aligned(X!4, T0!3) | positional_advantage(X!4, T0!3) | (hazard_of_mortality(X!4, T0!3) = high))))),
% 0.47/0.55 inference(unit_resolution,[status(thm)],[75, 51])).
% 0.47/0.55 tff(77,plain,
% 0.47/0.55 (((~((~positional_advantage(X!4, T0!3)) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = low))) | (~((~positional_advantage(X!4, T0!3)) | is_aligned(X!4, T0!3) | (hazard_of_mortality(X!4, T0!3) = mod1))) | (~(positional_advantage(X!4, T0!3) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = mod2))) | (~(is_aligned(X!4, T0!3) | positional_advantage(X!4, T0!3) | (hazard_of_mortality(X!4, T0!3) = high)))) | ((~positional_advantage(X!4, T0!3)) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = low))),
% 0.47/0.55 inference(tautology,[status(thm)],[])).
% 0.47/0.55 tff(78,plain,
% 0.47/0.55 ((~positional_advantage(X!4, T0!3)) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = low)),
% 0.47/0.55 inference(unit_resolution,[status(thm)],[77, 76])).
% 0.47/0.55 tff(79,plain,
% 0.47/0.55 (^[X: $i] : rewrite((~((~((~fragile_position(X)) | ![T: $i] : (~((~((~smaller_or_equal(age(X, T), sigma)) | positional_advantage(X, T))) | (~((~positional_advantage(X, T)) | (~greater(age(X, T), sigma)))))))) | (~(fragile_position(X) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), sigma)) | positional_advantage(X, tptp_fun_T_0(X)))) | (~((~positional_advantage(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), sigma)))))))) <=> (~((~(fragile_position(X) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), sigma)) | positional_advantage(X, tptp_fun_T_0(X)))) | (~((~positional_advantage(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), sigma)))))) | (~((~fragile_position(X)) | ![T: $i] : (~((~((~smaller_or_equal(age(X, T), sigma)) | positional_advantage(X, T))) | (~((~positional_advantage(X, T)) | (~greater(age(X, T), sigma)))))))))))),
% 0.47/0.55 inference(bind,[status(th)],[])).
% 0.47/0.55 tff(80,plain,
% 0.47/0.55 (![X: $i] : (~((~((~fragile_position(X)) | ![T: $i] : (~((~((~smaller_or_equal(age(X, T), sigma)) | positional_advantage(X, T))) | (~((~positional_advantage(X, T)) | (~greater(age(X, T), sigma)))))))) | (~(fragile_position(X) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), sigma)) | positional_advantage(X, tptp_fun_T_0(X)))) | (~((~positional_advantage(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), sigma)))))))) <=> ![X: $i] : (~((~(fragile_position(X) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), sigma)) | positional_advantage(X, tptp_fun_T_0(X)))) | (~((~positional_advantage(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), sigma)))))) | (~((~fragile_position(X)) | ![T: $i] : (~((~((~smaller_or_equal(age(X, T), sigma)) | positional_advantage(X, T))) | (~((~positional_advantage(X, T)) | (~greater(age(X, T), sigma))))))))))),
% 0.47/0.55 inference(quant_intro,[status(thm)],[79])).
% 0.47/0.55 tff(81,plain,
% 0.47/0.55 (^[X: $i] : refl((~((~((~fragile_position(X)) | ![T: $i] : (~((~((~smaller_or_equal(age(X, T), sigma)) | positional_advantage(X, T))) | (~((~positional_advantage(X, T)) | (~greater(age(X, T), sigma)))))))) | (~(fragile_position(X) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), sigma)) | positional_advantage(X, tptp_fun_T_0(X)))) | (~((~positional_advantage(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), sigma)))))))) <=> (~((~((~fragile_position(X)) | ![T: $i] : (~((~((~smaller_or_equal(age(X, T), sigma)) | positional_advantage(X, T))) | (~((~positional_advantage(X, T)) | (~greater(age(X, T), sigma)))))))) | (~(fragile_position(X) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), sigma)) | positional_advantage(X, tptp_fun_T_0(X)))) | (~((~positional_advantage(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), sigma)))))))))),
% 0.47/0.55 inference(bind,[status(th)],[])).
% 0.47/0.55 tff(82,plain,
% 0.47/0.55 (![X: $i] : (~((~((~fragile_position(X)) | ![T: $i] : (~((~((~smaller_or_equal(age(X, T), sigma)) | positional_advantage(X, T))) | (~((~positional_advantage(X, T)) | (~greater(age(X, T), sigma)))))))) | (~(fragile_position(X) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), sigma)) | positional_advantage(X, tptp_fun_T_0(X)))) | (~((~positional_advantage(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), sigma)))))))) <=> ![X: $i] : (~((~((~fragile_position(X)) | ![T: $i] : (~((~((~smaller_or_equal(age(X, T), sigma)) | positional_advantage(X, T))) | (~((~positional_advantage(X, T)) | (~greater(age(X, T), sigma)))))))) | (~(fragile_position(X) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), sigma)) | positional_advantage(X, tptp_fun_T_0(X)))) | (~((~positional_advantage(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), sigma))))))))),
% 0.47/0.55 inference(quant_intro,[status(thm)],[81])).
% 0.47/0.55 tff(83,plain,
% 0.47/0.55 (^[X: $i] : rewrite((~((~((~fragile_position(X)) | ![T: $i] : (~((~((~smaller_or_equal(age(X, T), sigma)) | positional_advantage(X, T))) | (~((~positional_advantage(X, T)) | (~greater(age(X, T), sigma)))))))) | (~(fragile_position(X) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), sigma)) | positional_advantage(X, tptp_fun_T_0(X)))) | (~((~positional_advantage(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), sigma)))))))) <=> (~((~((~fragile_position(X)) | ![T: $i] : (~((~((~smaller_or_equal(age(X, T), sigma)) | positional_advantage(X, T))) | (~((~positional_advantage(X, T)) | (~greater(age(X, T), sigma)))))))) | (~(fragile_position(X) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), sigma)) | positional_advantage(X, tptp_fun_T_0(X)))) | (~((~positional_advantage(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), sigma)))))))))),
% 0.47/0.55 inference(bind,[status(th)],[])).
% 0.47/0.55 tff(84,plain,
% 0.47/0.55 (![X: $i] : (~((~((~fragile_position(X)) | ![T: $i] : (~((~((~smaller_or_equal(age(X, T), sigma)) | positional_advantage(X, T))) | (~((~positional_advantage(X, T)) | (~greater(age(X, T), sigma)))))))) | (~(fragile_position(X) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), sigma)) | positional_advantage(X, tptp_fun_T_0(X)))) | (~((~positional_advantage(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), sigma)))))))) <=> ![X: $i] : (~((~((~fragile_position(X)) | ![T: $i] : (~((~((~smaller_or_equal(age(X, T), sigma)) | positional_advantage(X, T))) | (~((~positional_advantage(X, T)) | (~greater(age(X, T), sigma)))))))) | (~(fragile_position(X) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), sigma)) | positional_advantage(X, tptp_fun_T_0(X)))) | (~((~positional_advantage(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), sigma))))))))),
% 0.47/0.55 inference(quant_intro,[status(thm)],[83])).
% 0.47/0.55 tff(85,plain,
% 0.47/0.55 (![X: $i] : (~((~((~fragile_position(X)) | ![T: $i] : (~((~((~smaller_or_equal(age(X, T), sigma)) | positional_advantage(X, T))) | (~((~positional_advantage(X, T)) | (~greater(age(X, T), sigma)))))))) | (~(fragile_position(X) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), sigma)) | positional_advantage(X, tptp_fun_T_0(X)))) | (~((~positional_advantage(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), sigma)))))))) <=> ![X: $i] : (~((~((~fragile_position(X)) | ![T: $i] : (~((~((~smaller_or_equal(age(X, T), sigma)) | positional_advantage(X, T))) | (~((~positional_advantage(X, T)) | (~greater(age(X, T), sigma)))))))) | (~(fragile_position(X) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), sigma)) | positional_advantage(X, tptp_fun_T_0(X)))) | (~((~positional_advantage(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), sigma))))))))),
% 0.47/0.55 inference(transitivity,[status(thm)],[84, 82])).
% 0.47/0.55 tff(86,plain,
% 0.47/0.55 (^[X: $i] : trans(monotonicity(rewrite(((~fragile_position(X)) | ![T: $i] : (((~smaller_or_equal(age(X, T), sigma)) | positional_advantage(X, T)) & ((~positional_advantage(X, T)) | (~greater(age(X, T), sigma))))) <=> ((~fragile_position(X)) | ![T: $i] : (~((~((~smaller_or_equal(age(X, T), sigma)) | positional_advantage(X, T))) | (~((~positional_advantage(X, T)) | (~greater(age(X, T), sigma)))))))), trans(monotonicity(trans(monotonicity(rewrite((((~smaller_or_equal(age(X, tptp_fun_T_0(X)), sigma)) | positional_advantage(X, tptp_fun_T_0(X))) & ((~positional_advantage(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), sigma)))) <=> (~((~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), sigma)) | positional_advantage(X, tptp_fun_T_0(X)))) | (~((~positional_advantage(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), sigma))))))), ((~(((~smaller_or_equal(age(X, tptp_fun_T_0(X)), sigma)) | positional_advantage(X, tptp_fun_T_0(X))) & ((~positional_advantage(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), sigma))))) <=> (~(~((~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), sigma)) | positional_advantage(X, tptp_fun_T_0(X)))) | (~((~positional_advantage(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), sigma))))))))), rewrite((~(~((~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), sigma)) | positional_advantage(X, tptp_fun_T_0(X)))) | (~((~positional_advantage(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), sigma))))))) <=> ((~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), sigma)) | positional_advantage(X, tptp_fun_T_0(X)))) | (~((~positional_advantage(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), sigma)))))), ((~(((~smaller_or_equal(age(X, tptp_fun_T_0(X)), sigma)) | positional_advantage(X, tptp_fun_T_0(X))) & ((~positional_advantage(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), sigma))))) <=> ((~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), sigma)) | positional_advantage(X, tptp_fun_T_0(X)))) | (~((~positional_advantage(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), sigma))))))), ((fragile_position(X) | (~(((~smaller_or_equal(age(X, tptp_fun_T_0(X)), sigma)) | positional_advantage(X, tptp_fun_T_0(X))) & ((~positional_advantage(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), sigma)))))) <=> (fragile_position(X) | ((~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), sigma)) | positional_advantage(X, tptp_fun_T_0(X)))) | (~((~positional_advantage(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), sigma)))))))), rewrite((fragile_position(X) | ((~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), sigma)) | positional_advantage(X, tptp_fun_T_0(X)))) | (~((~positional_advantage(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), sigma)))))) <=> (fragile_position(X) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), sigma)) | positional_advantage(X, tptp_fun_T_0(X)))) | (~((~positional_advantage(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), sigma)))))), ((fragile_position(X) | (~(((~smaller_or_equal(age(X, tptp_fun_T_0(X)), sigma)) | positional_advantage(X, tptp_fun_T_0(X))) & ((~positional_advantage(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), sigma)))))) <=> (fragile_position(X) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), sigma)) | positional_advantage(X, tptp_fun_T_0(X)))) | (~((~positional_advantage(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), sigma))))))), ((((~fragile_position(X)) | ![T: $i] : (((~smaller_or_equal(age(X, T), sigma)) | positional_advantage(X, T)) & ((~positional_advantage(X, T)) | (~greater(age(X, T), sigma))))) & (fragile_position(X) | (~(((~smaller_or_equal(age(X, tptp_fun_T_0(X)), sigma)) | positional_advantage(X, tptp_fun_T_0(X))) & ((~positional_advantage(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), sigma))))))) <=> (((~fragile_position(X)) | ![T: $i] : (~((~((~smaller_or_equal(age(X, T), sigma)) | positional_advantage(X, T))) | (~((~positional_advantage(X, T)) | (~greater(age(X, T), sigma))))))) & (fragile_position(X) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), sigma)) | positional_advantage(X, tptp_fun_T_0(X)))) | (~((~positional_advantage(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), sigma)))))))), rewrite((((~fragile_position(X)) | ![T: $i] : (~((~((~smaller_or_equal(age(X, T), sigma)) | positional_advantage(X, T))) | (~((~positional_advantage(X, T)) | (~greater(age(X, T), sigma))))))) & (fragile_position(X) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), sigma)) | positional_advantage(X, tptp_fun_T_0(X)))) | (~((~positional_advantage(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), sigma)))))) <=> (~((~((~fragile_position(X)) | ![T: $i] : (~((~((~smaller_or_equal(age(X, T), sigma)) | positional_advantage(X, T))) | (~((~positional_advantage(X, T)) | (~greater(age(X, T), sigma)))))))) | (~(fragile_position(X) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), sigma)) | positional_advantage(X, tptp_fun_T_0(X)))) | (~((~positional_advantage(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), sigma))))))))), ((((~fragile_position(X)) | ![T: $i] : (((~smaller_or_equal(age(X, T), sigma)) | positional_advantage(X, T)) & ((~positional_advantage(X, T)) | (~greater(age(X, T), sigma))))) & (fragile_position(X) | (~(((~smaller_or_equal(age(X, tptp_fun_T_0(X)), sigma)) | positional_advantage(X, tptp_fun_T_0(X))) & ((~positional_advantage(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), sigma))))))) <=> (~((~((~fragile_position(X)) | ![T: $i] : (~((~((~smaller_or_equal(age(X, T), sigma)) | positional_advantage(X, T))) | (~((~positional_advantage(X, T)) | (~greater(age(X, T), sigma)))))))) | (~(fragile_position(X) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), sigma)) | positional_advantage(X, tptp_fun_T_0(X)))) | (~((~positional_advantage(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), sigma))))))))))),
% 0.47/0.55 inference(bind,[status(th)],[])).
% 0.47/0.55 tff(87,plain,
% 0.47/0.55 (![X: $i] : (((~fragile_position(X)) | ![T: $i] : (((~smaller_or_equal(age(X, T), sigma)) | positional_advantage(X, T)) & ((~positional_advantage(X, T)) | (~greater(age(X, T), sigma))))) & (fragile_position(X) | (~(((~smaller_or_equal(age(X, tptp_fun_T_0(X)), sigma)) | positional_advantage(X, tptp_fun_T_0(X))) & ((~positional_advantage(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), sigma))))))) <=> ![X: $i] : (~((~((~fragile_position(X)) | ![T: $i] : (~((~((~smaller_or_equal(age(X, T), sigma)) | positional_advantage(X, T))) | (~((~positional_advantage(X, T)) | (~greater(age(X, T), sigma)))))))) | (~(fragile_position(X) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), sigma)) | positional_advantage(X, tptp_fun_T_0(X)))) | (~((~positional_advantage(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), sigma))))))))),
% 0.47/0.55 inference(quant_intro,[status(thm)],[86])).
% 0.47/0.55 tff(88,plain,
% 0.47/0.55 (![X: $i] : (fragile_position(X) <=> ![T: $i] : (((~smaller_or_equal(age(X, T), sigma)) | positional_advantage(X, T)) & ((~positional_advantage(X, T)) | (~greater(age(X, T), sigma))))) <=> ![X: $i] : (fragile_position(X) <=> ![T: $i] : (((~smaller_or_equal(age(X, T), sigma)) | positional_advantage(X, T)) & ((~positional_advantage(X, T)) | (~greater(age(X, T), sigma)))))),
% 0.47/0.55 inference(rewrite,[status(thm)],[])).
% 0.47/0.55 tff(89,plain,
% 0.47/0.55 (^[X: $i] : rewrite((fragile_position(X) <=> ![T: $i] : ((smaller_or_equal(age(X, T), sigma) => positional_advantage(X, T)) & (greater(age(X, T), sigma) => (~positional_advantage(X, T))))) <=> (fragile_position(X) <=> ![T: $i] : (((~smaller_or_equal(age(X, T), sigma)) | positional_advantage(X, T)) & ((~positional_advantage(X, T)) | (~greater(age(X, T), sigma))))))),
% 0.47/0.55 inference(bind,[status(th)],[])).
% 0.47/0.55 tff(90,plain,
% 0.47/0.55 (![X: $i] : (fragile_position(X) <=> ![T: $i] : ((smaller_or_equal(age(X, T), sigma) => positional_advantage(X, T)) & (greater(age(X, T), sigma) => (~positional_advantage(X, T))))) <=> ![X: $i] : (fragile_position(X) <=> ![T: $i] : (((~smaller_or_equal(age(X, T), sigma)) | positional_advantage(X, T)) & ((~positional_advantage(X, T)) | (~greater(age(X, T), sigma)))))),
% 0.47/0.55 inference(quant_intro,[status(thm)],[89])).
% 0.47/0.55 tff(91,axiom,(![X: $i] : (fragile_position(X) <=> ![T: $i] : ((smaller_or_equal(age(X, T), sigma) => positional_advantage(X, T)) & (greater(age(X, T), sigma) => (~positional_advantage(X, T)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','definition_3')).
% 0.47/0.55 tff(92,plain,
% 0.47/0.55 (![X: $i] : (fragile_position(X) <=> ![T: $i] : (((~smaller_or_equal(age(X, T), sigma)) | positional_advantage(X, T)) & ((~positional_advantage(X, T)) | (~greater(age(X, T), sigma)))))),
% 0.47/0.55 inference(modus_ponens,[status(thm)],[91, 90])).
% 0.47/0.55 tff(93,plain,
% 0.47/0.55 (![X: $i] : (fragile_position(X) <=> ![T: $i] : (((~smaller_or_equal(age(X, T), sigma)) | positional_advantage(X, T)) & ((~positional_advantage(X, T)) | (~greater(age(X, T), sigma)))))),
% 0.47/0.55 inference(modus_ponens,[status(thm)],[92, 88])).
% 0.47/0.55 tff(94,plain,(
% 0.47/0.55 ![X: $i] : (((~fragile_position(X)) | ![T: $i] : (((~smaller_or_equal(age(X, T), sigma)) | positional_advantage(X, T)) & ((~positional_advantage(X, T)) | (~greater(age(X, T), sigma))))) & (fragile_position(X) | (~(((~smaller_or_equal(age(X, tptp_fun_T_0(X)), sigma)) | positional_advantage(X, tptp_fun_T_0(X))) & ((~positional_advantage(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), sigma)))))))),
% 0.47/0.55 inference(skolemize,[status(sab)],[93])).
% 0.47/0.55 tff(95,plain,
% 0.47/0.55 (![X: $i] : (~((~((~fragile_position(X)) | ![T: $i] : (~((~((~smaller_or_equal(age(X, T), sigma)) | positional_advantage(X, T))) | (~((~positional_advantage(X, T)) | (~greater(age(X, T), sigma)))))))) | (~(fragile_position(X) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), sigma)) | positional_advantage(X, tptp_fun_T_0(X)))) | (~((~positional_advantage(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), sigma))))))))),
% 0.47/0.55 inference(modus_ponens,[status(thm)],[94, 87])).
% 0.47/0.55 tff(96,plain,
% 0.47/0.55 (![X: $i] : (~((~((~fragile_position(X)) | ![T: $i] : (~((~((~smaller_or_equal(age(X, T), sigma)) | positional_advantage(X, T))) | (~((~positional_advantage(X, T)) | (~greater(age(X, T), sigma)))))))) | (~(fragile_position(X) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), sigma)) | positional_advantage(X, tptp_fun_T_0(X)))) | (~((~positional_advantage(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), sigma))))))))),
% 0.47/0.55 inference(modus_ponens,[status(thm)],[95, 85])).
% 0.47/0.55 tff(97,plain,
% 0.47/0.55 (![X: $i] : (~((~(fragile_position(X) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), sigma)) | positional_advantage(X, tptp_fun_T_0(X)))) | (~((~positional_advantage(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), sigma)))))) | (~((~fragile_position(X)) | ![T: $i] : (~((~((~smaller_or_equal(age(X, T), sigma)) | positional_advantage(X, T))) | (~((~positional_advantage(X, T)) | (~greater(age(X, T), sigma))))))))))),
% 0.47/0.55 inference(modus_ponens,[status(thm)],[96, 80])).
% 0.47/0.55 tff(98,plain,
% 0.47/0.55 ((~![X: $i] : (~((~(fragile_position(X) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), sigma)) | positional_advantage(X, tptp_fun_T_0(X)))) | (~((~positional_advantage(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), sigma)))))) | (~((~fragile_position(X)) | ![T: $i] : (~((~((~smaller_or_equal(age(X, T), sigma)) | positional_advantage(X, T))) | (~((~positional_advantage(X, T)) | (~greater(age(X, T), sigma))))))))))) | (~((~(fragile_position(X!4) | (~((~smaller_or_equal(age(X!4, tptp_fun_T_0(X!4)), sigma)) | positional_advantage(X!4, tptp_fun_T_0(X!4)))) | (~((~positional_advantage(X!4, tptp_fun_T_0(X!4))) | (~greater(age(X!4, tptp_fun_T_0(X!4)), sigma)))))) | (~((~fragile_position(X!4)) | ![T: $i] : (~((~((~smaller_or_equal(age(X!4, T), sigma)) | positional_advantage(X!4, T))) | (~((~positional_advantage(X!4, T)) | (~greater(age(X!4, T), sigma))))))))))),
% 0.47/0.55 inference(quant_inst,[status(thm)],[])).
% 0.47/0.55 tff(99,plain,
% 0.47/0.55 (~((~(fragile_position(X!4) | (~((~smaller_or_equal(age(X!4, tptp_fun_T_0(X!4)), sigma)) | positional_advantage(X!4, tptp_fun_T_0(X!4)))) | (~((~positional_advantage(X!4, tptp_fun_T_0(X!4))) | (~greater(age(X!4, tptp_fun_T_0(X!4)), sigma)))))) | (~((~fragile_position(X!4)) | ![T: $i] : (~((~((~smaller_or_equal(age(X!4, T), sigma)) | positional_advantage(X!4, T))) | (~((~positional_advantage(X!4, T)) | (~greater(age(X!4, T), sigma)))))))))),
% 0.47/0.55 inference(unit_resolution,[status(thm)],[98, 97])).
% 0.47/0.55 tff(100,plain,
% 0.47/0.55 (((~(fragile_position(X!4) | (~((~smaller_or_equal(age(X!4, tptp_fun_T_0(X!4)), sigma)) | positional_advantage(X!4, tptp_fun_T_0(X!4)))) | (~((~positional_advantage(X!4, tptp_fun_T_0(X!4))) | (~greater(age(X!4, tptp_fun_T_0(X!4)), sigma)))))) | (~((~fragile_position(X!4)) | ![T: $i] : (~((~((~smaller_or_equal(age(X!4, T), sigma)) | positional_advantage(X!4, T))) | (~((~positional_advantage(X!4, T)) | (~greater(age(X!4, T), sigma))))))))) | ((~fragile_position(X!4)) | ![T: $i] : (~((~((~smaller_or_equal(age(X!4, T), sigma)) | positional_advantage(X!4, T))) | (~((~positional_advantage(X!4, T)) | (~greater(age(X!4, T), sigma)))))))),
% 0.47/0.55 inference(tautology,[status(thm)],[])).
% 0.47/0.55 tff(101,plain,
% 0.47/0.55 ((~fragile_position(X!4)) | ![T: $i] : (~((~((~smaller_or_equal(age(X!4, T), sigma)) | positional_advantage(X!4, T))) | (~((~positional_advantage(X!4, T)) | (~greater(age(X!4, T), sigma))))))),
% 0.47/0.55 inference(unit_resolution,[status(thm)],[100, 99])).
% 0.47/0.56 tff(102,plain,
% 0.47/0.56 (fragile_position(X!4)),
% 0.47/0.56 inference(and_elim,[status(thm)],[28])).
% 0.47/0.56 tff(103,plain,
% 0.47/0.56 ((~((~fragile_position(X!4)) | ![T: $i] : (~((~((~smaller_or_equal(age(X!4, T), sigma)) | positional_advantage(X!4, T))) | (~((~positional_advantage(X!4, T)) | (~greater(age(X!4, T), sigma)))))))) | (~fragile_position(X!4)) | ![T: $i] : (~((~((~smaller_or_equal(age(X!4, T), sigma)) | positional_advantage(X!4, T))) | (~((~positional_advantage(X!4, T)) | (~greater(age(X!4, T), sigma))))))),
% 0.47/0.56 inference(tautology,[status(thm)],[])).
% 0.47/0.56 tff(104,plain,
% 0.47/0.56 ((~((~fragile_position(X!4)) | ![T: $i] : (~((~((~smaller_or_equal(age(X!4, T), sigma)) | positional_advantage(X!4, T))) | (~((~positional_advantage(X!4, T)) | (~greater(age(X!4, T), sigma)))))))) | ![T: $i] : (~((~((~smaller_or_equal(age(X!4, T), sigma)) | positional_advantage(X!4, T))) | (~((~positional_advantage(X!4, T)) | (~greater(age(X!4, T), sigma))))))),
% 0.47/0.56 inference(unit_resolution,[status(thm)],[103, 102])).
% 0.47/0.56 tff(105,plain,
% 0.47/0.56 (![T: $i] : (~((~((~smaller_or_equal(age(X!4, T), sigma)) | positional_advantage(X!4, T))) | (~((~positional_advantage(X!4, T)) | (~greater(age(X!4, T), sigma))))))),
% 0.47/0.56 inference(unit_resolution,[status(thm)],[104, 101])).
% 0.47/0.56 tff(106,plain,
% 0.47/0.56 ((~![T: $i] : (~((~((~smaller_or_equal(age(X!4, T), sigma)) | positional_advantage(X!4, T))) | (~((~positional_advantage(X!4, T)) | (~greater(age(X!4, T), sigma))))))) | (~((~((~smaller_or_equal(age(X!4, T0!3), sigma)) | positional_advantage(X!4, T0!3))) | (~((~positional_advantage(X!4, T0!3)) | (~greater(age(X!4, T0!3), sigma))))))),
% 0.47/0.56 inference(quant_inst,[status(thm)],[])).
% 0.47/0.56 tff(107,plain,
% 0.47/0.56 (~((~((~smaller_or_equal(age(X!4, T0!3), sigma)) | positional_advantage(X!4, T0!3))) | (~((~positional_advantage(X!4, T0!3)) | (~greater(age(X!4, T0!3), sigma)))))),
% 0.47/0.56 inference(unit_resolution,[status(thm)],[106, 105])).
% 0.47/0.56 tff(108,plain,
% 0.47/0.56 (((~((~smaller_or_equal(age(X!4, T0!3), sigma)) | positional_advantage(X!4, T0!3))) | (~((~positional_advantage(X!4, T0!3)) | (~greater(age(X!4, T0!3), sigma))))) | ((~smaller_or_equal(age(X!4, T0!3), sigma)) | positional_advantage(X!4, T0!3))),
% 0.47/0.56 inference(tautology,[status(thm)],[])).
% 0.47/0.56 tff(109,plain,
% 0.47/0.56 ((~smaller_or_equal(age(X!4, T0!3), sigma)) | positional_advantage(X!4, T0!3)),
% 0.47/0.56 inference(unit_resolution,[status(thm)],[108, 107])).
% 0.47/0.56 tff(110,plain,
% 0.47/0.56 (age(X!4, T0!3) = zero),
% 0.47/0.56 inference(and_elim,[status(thm)],[28])).
% 0.47/0.56 tff(111,plain,
% 0.47/0.56 (smaller_or_equal(age(X!4, T0!3), sigma) <=> smaller_or_equal(zero, sigma)),
% 0.47/0.56 inference(monotonicity,[status(thm)],[110])).
% 0.47/0.56 tff(112,plain,
% 0.47/0.56 (smaller_or_equal(zero, sigma) <=> smaller_or_equal(age(X!4, T0!3), sigma)),
% 0.47/0.56 inference(symmetry,[status(thm)],[111])).
% 0.47/0.56 tff(113,plain,
% 0.47/0.56 (^[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))))),
% 0.47/0.56 inference(bind,[status(th)],[])).
% 0.47/0.56 tff(114,plain,
% 0.47/0.56 (![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)))),
% 0.47/0.56 inference(quant_intro,[status(thm)],[113])).
% 0.47/0.56 tff(115,plain,
% 0.47/0.56 (![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)))),
% 0.47/0.56 inference(rewrite,[status(thm)],[])).
% 0.47/0.56 tff(116,plain,
% 0.47/0.56 (^[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))))),
% 0.47/0.56 inference(bind,[status(th)],[])).
% 0.47/0.56 tff(117,plain,
% 0.47/0.56 (![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)))),
% 0.47/0.56 inference(quant_intro,[status(thm)],[116])).
% 0.47/0.56 tff(118,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')).
% 0.47/0.56 tff(119,plain,
% 0.47/0.56 (![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))),
% 0.47/0.56 inference(modus_ponens,[status(thm)],[118, 117])).
% 0.47/0.56 tff(120,plain,
% 0.47/0.56 (![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))),
% 0.47/0.56 inference(modus_ponens,[status(thm)],[119, 115])).
% 0.47/0.56 tff(121,plain,(
% 0.47/0.56 ![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))),
% 0.47/0.56 inference(skolemize,[status(sab)],[120])).
% 0.47/0.56 tff(122,plain,
% 0.47/0.56 (![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))),
% 0.47/0.56 inference(modus_ponens,[status(thm)],[121, 114])).
% 0.47/0.56 tff(123,plain,
% 0.47/0.56 ((~![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))) | (smaller_or_equal(zero, sigma) <=> ((zero = sigma) | smaller(zero, sigma)))),
% 0.47/0.56 inference(quant_inst,[status(thm)],[])).
% 0.47/0.56 tff(124,plain,
% 0.47/0.56 (smaller_or_equal(zero, sigma) <=> ((zero = sigma) | smaller(zero, sigma))),
% 0.47/0.56 inference(unit_resolution,[status(thm)],[123, 122])).
% 0.47/0.56 tff(125,plain,
% 0.47/0.56 (^[X: $i, Y: $i] : refl((smaller(X, Y) <=> greater(Y, X)) <=> (smaller(X, Y) <=> greater(Y, X)))),
% 0.47/0.56 inference(bind,[status(th)],[])).
% 0.47/0.56 tff(126,plain,
% 0.47/0.56 (![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X)) <=> ![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))),
% 0.47/0.56 inference(quant_intro,[status(thm)],[125])).
% 0.47/0.56 tff(127,plain,
% 0.47/0.56 (![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X)) <=> ![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))),
% 0.47/0.56 inference(rewrite,[status(thm)],[])).
% 0.47/0.56 tff(128,axiom,(![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))), file('/export/starexec/sandbox/benchmark/Axioms/MGT001+0.ax','definition_smaller')).
% 0.47/0.56 tff(129,plain,
% 0.47/0.56 (![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))),
% 0.47/0.56 inference(modus_ponens,[status(thm)],[128, 127])).
% 0.47/0.56 tff(130,plain,(
% 0.47/0.56 ![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))),
% 0.47/0.56 inference(skolemize,[status(sab)],[129])).
% 0.47/0.56 tff(131,plain,
% 0.47/0.56 (![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))),
% 0.47/0.56 inference(modus_ponens,[status(thm)],[130, 126])).
% 0.47/0.56 tff(132,plain,
% 0.47/0.56 ((~![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))) | (smaller(zero, sigma) <=> greater(sigma, zero))),
% 0.47/0.56 inference(quant_inst,[status(thm)],[])).
% 0.47/0.56 tff(133,plain,
% 0.47/0.56 (smaller(zero, sigma) <=> greater(sigma, zero)),
% 0.47/0.56 inference(unit_resolution,[status(thm)],[132, 131])).
% 0.47/0.56 tff(134,plain,
% 0.47/0.56 (greater(sigma, zero)),
% 0.47/0.56 inference(and_elim,[status(thm)],[28])).
% 0.47/0.56 tff(135,plain,
% 0.47/0.56 ((~(smaller(zero, sigma) <=> greater(sigma, zero))) | smaller(zero, sigma) | (~greater(sigma, zero))),
% 0.47/0.56 inference(tautology,[status(thm)],[])).
% 0.47/0.56 tff(136,plain,
% 0.47/0.56 ((~(smaller(zero, sigma) <=> greater(sigma, zero))) | smaller(zero, sigma)),
% 0.47/0.56 inference(unit_resolution,[status(thm)],[135, 134])).
% 0.47/0.56 tff(137,plain,
% 0.47/0.56 (smaller(zero, sigma)),
% 0.47/0.56 inference(unit_resolution,[status(thm)],[136, 133])).
% 0.47/0.56 tff(138,plain,
% 0.47/0.56 (((zero = sigma) | smaller(zero, sigma)) | (~smaller(zero, sigma))),
% 0.47/0.56 inference(tautology,[status(thm)],[])).
% 0.47/0.56 tff(139,plain,
% 0.47/0.56 ((zero = sigma) | smaller(zero, sigma)),
% 0.47/0.56 inference(unit_resolution,[status(thm)],[138, 137])).
% 0.47/0.56 tff(140,plain,
% 0.47/0.56 ((~(smaller_or_equal(zero, sigma) <=> ((zero = sigma) | smaller(zero, sigma)))) | smaller_or_equal(zero, sigma) | (~((zero = sigma) | smaller(zero, sigma)))),
% 0.47/0.56 inference(tautology,[status(thm)],[])).
% 0.47/0.56 tff(141,plain,
% 0.47/0.56 ((~(smaller_or_equal(zero, sigma) <=> ((zero = sigma) | smaller(zero, sigma)))) | smaller_or_equal(zero, sigma)),
% 0.47/0.56 inference(unit_resolution,[status(thm)],[140, 139])).
% 0.47/0.56 tff(142,plain,
% 0.47/0.56 (smaller_or_equal(zero, sigma)),
% 0.47/0.56 inference(unit_resolution,[status(thm)],[141, 124])).
% 0.47/0.56 tff(143,plain,
% 0.47/0.56 (smaller_or_equal(age(X!4, T0!3), sigma)),
% 0.47/0.56 inference(modus_ponens,[status(thm)],[142, 112])).
% 0.47/0.56 tff(144,plain,
% 0.47/0.56 ((~((~smaller_or_equal(age(X!4, T0!3), sigma)) | positional_advantage(X!4, T0!3))) | (~smaller_or_equal(age(X!4, T0!3), sigma)) | positional_advantage(X!4, T0!3)),
% 0.47/0.56 inference(tautology,[status(thm)],[])).
% 0.47/0.56 tff(145,plain,
% 0.47/0.56 (positional_advantage(X!4, T0!3)),
% 0.47/0.56 inference(unit_resolution,[status(thm)],[144, 143, 109])).
% 0.47/0.56 tff(146,plain,
% 0.47/0.56 (^[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))))),
% 0.47/0.56 inference(bind,[status(th)],[])).
% 0.47/0.56 tff(147,plain,
% 0.47/0.56 (![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)))),
% 0.47/0.56 inference(quant_intro,[status(thm)],[146])).
% 0.47/0.56 tff(148,plain,
% 0.47/0.56 (^[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)))))),
% 0.47/0.56 inference(bind,[status(th)],[])).
% 0.47/0.56 tff(149,plain,
% 0.47/0.56 (![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)))),
% 0.47/0.56 inference(quant_intro,[status(thm)],[148])).
% 0.47/0.56 tff(150,plain,
% 0.47/0.56 (![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))),
% 0.47/0.56 inference(rewrite,[status(thm)],[])).
% 0.47/0.56 tff(151,plain,
% 0.47/0.56 (^[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)))),
% 0.47/0.56 inference(bind,[status(th)],[])).
% 0.47/0.56 tff(152,plain,
% 0.47/0.56 (![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))),
% 0.47/0.56 inference(quant_intro,[status(thm)],[151])).
% 0.47/0.56 tff(153,axiom,(![X: $i, T: $i] : ((organization(X) & (age(X, T) = zero)) => is_aligned(X, T))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','assumption_13')).
% 0.47/0.56 tff(154,plain,
% 0.47/0.56 (![X: $i, T: $i] : ((~(organization(X) & (age(X, T) = zero))) | is_aligned(X, T))),
% 0.47/0.56 inference(modus_ponens,[status(thm)],[153, 152])).
% 0.47/0.56 tff(155,plain,
% 0.47/0.56 (![X: $i, T: $i] : ((~(organization(X) & (age(X, T) = zero))) | is_aligned(X, T))),
% 0.47/0.56 inference(modus_ponens,[status(thm)],[154, 150])).
% 0.47/0.56 tff(156,plain,(
% 0.47/0.56 ![X: $i, T: $i] : ((~(organization(X) & (age(X, T) = zero))) | is_aligned(X, T))),
% 0.47/0.56 inference(skolemize,[status(sab)],[155])).
% 0.47/0.56 tff(157,plain,
% 0.47/0.56 (![X: $i, T: $i] : (is_aligned(X, T) | (~organization(X)) | (~(age(X, T) = zero)))),
% 0.47/0.56 inference(modus_ponens,[status(thm)],[156, 149])).
% 0.47/0.56 tff(158,plain,
% 0.47/0.56 (![X: $i, T: $i] : (is_aligned(X, T) | (~organization(X)) | (~(age(X, T) = zero)))),
% 0.47/0.56 inference(modus_ponens,[status(thm)],[157, 147])).
% 0.47/0.56 tff(159,plain,
% 0.47/0.56 (((~![X: $i, T: $i] : (is_aligned(X, T) | (~organization(X)) | (~(age(X, T) = zero)))) | (is_aligned(X!4, T0!3) | (~organization(X!4)) | (~(age(X!4, T0!3) = zero)))) <=> ((~![X: $i, T: $i] : (is_aligned(X, T) | (~organization(X)) | (~(age(X, T) = zero)))) | is_aligned(X!4, T0!3) | (~organization(X!4)) | (~(age(X!4, T0!3) = zero)))),
% 0.47/0.56 inference(rewrite,[status(thm)],[])).
% 0.47/0.56 tff(160,plain,
% 0.47/0.56 ((~![X: $i, T: $i] : (is_aligned(X, T) | (~organization(X)) | (~(age(X, T) = zero)))) | (is_aligned(X!4, T0!3) | (~organization(X!4)) | (~(age(X!4, T0!3) = zero)))),
% 0.47/0.56 inference(quant_inst,[status(thm)],[])).
% 0.47/0.56 tff(161,plain,
% 0.47/0.56 ((~![X: $i, T: $i] : (is_aligned(X, T) | (~organization(X)) | (~(age(X, T) = zero)))) | is_aligned(X!4, T0!3) | (~organization(X!4)) | (~(age(X!4, T0!3) = zero))),
% 0.47/0.56 inference(modus_ponens,[status(thm)],[160, 159])).
% 0.47/0.56 tff(162,plain,
% 0.47/0.56 (is_aligned(X!4, T0!3)),
% 0.47/0.56 inference(unit_resolution,[status(thm)],[161, 158, 30, 110])).
% 0.47/0.56 tff(163,plain,
% 0.47/0.56 ((~((~positional_advantage(X!4, T0!3)) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = low))) | (~positional_advantage(X!4, T0!3)) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = low)),
% 0.47/0.56 inference(tautology,[status(thm)],[])).
% 0.47/0.56 tff(164,plain,
% 0.47/0.56 ((~((~positional_advantage(X!4, T0!3)) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = low))) | (~positional_advantage(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = low)),
% 0.47/0.56 inference(unit_resolution,[status(thm)],[163, 162])).
% 0.47/0.56 tff(165,plain,
% 0.47/0.56 ((~((~positional_advantage(X!4, T0!3)) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = low))) | (hazard_of_mortality(X!4, T0!3) = low)),
% 0.47/0.56 inference(unit_resolution,[status(thm)],[164, 145])).
% 0.47/0.56 tff(166,plain,
% 0.47/0.56 (hazard_of_mortality(X!4, T0!3) = low),
% 0.47/0.56 inference(unit_resolution,[status(thm)],[165, 78])).
% 0.47/0.56 tff(167,plain,
% 0.47/0.56 ((hazard_of_mortality(X!4, T1!2) = hazard_of_mortality(X!4, T0!3)) <=> (hazard_of_mortality(X!4, T1!2) = low)),
% 0.47/0.56 inference(monotonicity,[status(thm)],[166])).
% 0.47/0.56 tff(168,plain,
% 0.47/0.56 ((~(hazard_of_mortality(X!4, T1!2) = hazard_of_mortality(X!4, T0!3))) <=> (~(hazard_of_mortality(X!4, T1!2) = low))),
% 0.47/0.56 inference(monotonicity,[status(thm)],[167])).
% 0.47/0.56 tff(169,plain,
% 0.47/0.56 ((~![X: $i, T0: $i, T: $i] : (dissimilar(X, T0, T) <=> (~((~organization(X)) | (is_aligned(X, T0) <=> is_aligned(X, T)))))) | (dissimilar(X!4, T0!3, T2!1) <=> (~((~organization(X!4)) | (is_aligned(X!4, T0!3) <=> is_aligned(X!4, T2!1)))))),
% 0.47/0.56 inference(quant_inst,[status(thm)],[])).
% 0.47/0.56 tff(170,plain,
% 0.47/0.56 (dissimilar(X!4, T0!3, T2!1) <=> (~((~organization(X!4)) | (is_aligned(X!4, T0!3) <=> is_aligned(X!4, T2!1))))),
% 0.47/0.56 inference(unit_resolution,[status(thm)],[169, 13])).
% 0.47/0.56 tff(171,plain,
% 0.47/0.56 (^[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))))),
% 0.47/0.56 inference(bind,[status(th)],[])).
% 0.47/0.56 tff(172,plain,
% 0.47/0.56 (![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)))),
% 0.47/0.56 inference(quant_intro,[status(thm)],[171])).
% 0.47/0.56 tff(173,plain,
% 0.47/0.56 (^[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)))))),
% 0.47/0.56 inference(bind,[status(th)],[])).
% 0.47/0.56 tff(174,plain,
% 0.47/0.56 (![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)))),
% 0.47/0.56 inference(quant_intro,[status(thm)],[173])).
% 0.47/0.56 tff(175,plain,
% 0.47/0.56 (![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)))),
% 0.47/0.56 inference(rewrite,[status(thm)],[])).
% 0.47/0.56 tff(176,plain,
% 0.47/0.56 (^[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))))),
% 0.47/0.56 inference(bind,[status(th)],[])).
% 0.47/0.56 tff(177,plain,
% 0.47/0.56 (![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)))),
% 0.47/0.56 inference(quant_intro,[status(thm)],[176])).
% 0.47/0.56 tff(178,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')).
% 0.47/0.56 tff(179,plain,
% 0.47/0.56 (![X: $i, T0: $i, T: $i] : ((~(organization(X) & (age(X, T0) = zero))) | (greater(age(X, T), sigma) <=> dissimilar(X, T0, T)))),
% 0.47/0.56 inference(modus_ponens,[status(thm)],[178, 177])).
% 0.47/0.56 tff(180,plain,
% 0.47/0.56 (![X: $i, T0: $i, T: $i] : ((~(organization(X) & (age(X, T0) = zero))) | (greater(age(X, T), sigma) <=> dissimilar(X, T0, T)))),
% 0.47/0.56 inference(modus_ponens,[status(thm)],[179, 175])).
% 0.47/0.56 tff(181,plain,(
% 0.47/0.56 ![X: $i, T0: $i, T: $i] : ((~(organization(X) & (age(X, T0) = zero))) | (greater(age(X, T), sigma) <=> dissimilar(X, T0, T)))),
% 0.47/0.56 inference(skolemize,[status(sab)],[180])).
% 0.47/0.56 tff(182,plain,
% 0.47/0.56 (![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))),
% 0.47/0.56 inference(modus_ponens,[status(thm)],[181, 174])).
% 0.47/0.56 tff(183,plain,
% 0.47/0.56 (![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))),
% 0.47/0.56 inference(modus_ponens,[status(thm)],[182, 172])).
% 0.47/0.56 tff(184,plain,
% 0.47/0.56 (((~![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))) | ((~organization(X!4)) | (~(age(X!4, T0!3) = zero)) | (greater(age(X!4, T2!1), sigma) <=> dissimilar(X!4, T0!3, T2!1)))) <=> ((~![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))) | (~organization(X!4)) | (~(age(X!4, T0!3) = zero)) | (greater(age(X!4, T2!1), sigma) <=> dissimilar(X!4, T0!3, T2!1)))),
% 0.47/0.56 inference(rewrite,[status(thm)],[])).
% 0.47/0.56 tff(185,plain,
% 0.47/0.56 (((greater(age(X!4, T2!1), sigma) <=> dissimilar(X!4, T0!3, T2!1)) | (~organization(X!4)) | (~(age(X!4, T0!3) = zero))) <=> ((~organization(X!4)) | (~(age(X!4, T0!3) = zero)) | (greater(age(X!4, T2!1), sigma) <=> dissimilar(X!4, T0!3, T2!1)))),
% 0.47/0.56 inference(rewrite,[status(thm)],[])).
% 0.47/0.56 tff(186,plain,
% 0.47/0.56 (((~![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))) | ((greater(age(X!4, T2!1), sigma) <=> dissimilar(X!4, T0!3, T2!1)) | (~organization(X!4)) | (~(age(X!4, T0!3) = zero)))) <=> ((~![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))) | ((~organization(X!4)) | (~(age(X!4, T0!3) = zero)) | (greater(age(X!4, T2!1), sigma) <=> dissimilar(X!4, T0!3, T2!1))))),
% 0.47/0.56 inference(monotonicity,[status(thm)],[185])).
% 0.47/0.56 tff(187,plain,
% 0.47/0.56 (((~![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))) | ((greater(age(X!4, T2!1), sigma) <=> dissimilar(X!4, T0!3, T2!1)) | (~organization(X!4)) | (~(age(X!4, T0!3) = zero)))) <=> ((~![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))) | (~organization(X!4)) | (~(age(X!4, T0!3) = zero)) | (greater(age(X!4, T2!1), sigma) <=> dissimilar(X!4, T0!3, T2!1)))),
% 0.47/0.56 inference(transitivity,[status(thm)],[186, 184])).
% 0.47/0.56 tff(188,plain,
% 0.47/0.56 ((~![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))) | ((greater(age(X!4, T2!1), sigma) <=> dissimilar(X!4, T0!3, T2!1)) | (~organization(X!4)) | (~(age(X!4, T0!3) = zero)))),
% 0.47/0.56 inference(quant_inst,[status(thm)],[])).
% 0.47/0.56 tff(189,plain,
% 0.47/0.56 ((~![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))) | (~organization(X!4)) | (~(age(X!4, T0!3) = zero)) | (greater(age(X!4, T2!1), sigma) <=> dissimilar(X!4, T0!3, T2!1))),
% 0.47/0.56 inference(modus_ponens,[status(thm)],[188, 187])).
% 0.47/0.56 tff(190,plain,
% 0.47/0.56 (greater(age(X!4, T2!1), sigma) <=> dissimilar(X!4, T0!3, T2!1)),
% 0.47/0.56 inference(unit_resolution,[status(thm)],[189, 183, 30, 110])).
% 0.47/0.56 tff(191,plain,
% 0.47/0.56 (greater(age(X!4, T2!1), sigma)),
% 0.47/0.56 inference(and_elim,[status(thm)],[28])).
% 0.47/0.56 tff(192,plain,
% 0.47/0.56 ((~(greater(age(X!4, T2!1), sigma) <=> dissimilar(X!4, T0!3, T2!1))) | (~greater(age(X!4, T2!1), sigma)) | dissimilar(X!4, T0!3, T2!1)),
% 0.47/0.56 inference(tautology,[status(thm)],[])).
% 0.47/0.56 tff(193,plain,
% 0.47/0.56 ((~(greater(age(X!4, T2!1), sigma) <=> dissimilar(X!4, T0!3, T2!1))) | dissimilar(X!4, T0!3, T2!1)),
% 0.47/0.56 inference(unit_resolution,[status(thm)],[192, 191])).
% 0.47/0.56 tff(194,plain,
% 0.47/0.56 (dissimilar(X!4, T0!3, T2!1)),
% 0.47/0.56 inference(unit_resolution,[status(thm)],[193, 190])).
% 0.47/0.56 tff(195,plain,
% 0.47/0.56 ((~(dissimilar(X!4, T0!3, T2!1) <=> (~((~organization(X!4)) | (is_aligned(X!4, T0!3) <=> is_aligned(X!4, T2!1)))))) | (~dissimilar(X!4, T0!3, T2!1)) | (~((~organization(X!4)) | (is_aligned(X!4, T0!3) <=> is_aligned(X!4, T2!1))))),
% 0.47/0.56 inference(tautology,[status(thm)],[])).
% 0.47/0.56 tff(196,plain,
% 0.47/0.56 ((~(dissimilar(X!4, T0!3, T2!1) <=> (~((~organization(X!4)) | (is_aligned(X!4, T0!3) <=> is_aligned(X!4, T2!1)))))) | (~((~organization(X!4)) | (is_aligned(X!4, T0!3) <=> is_aligned(X!4, T2!1))))),
% 0.47/0.56 inference(unit_resolution,[status(thm)],[195, 194])).
% 0.47/0.56 tff(197,plain,
% 0.47/0.56 (~((~organization(X!4)) | (is_aligned(X!4, T0!3) <=> is_aligned(X!4, T2!1)))),
% 0.47/0.56 inference(unit_resolution,[status(thm)],[196, 170])).
% 0.47/0.56 tff(198,plain,
% 0.47/0.56 (((~organization(X!4)) | (is_aligned(X!4, T0!3) <=> is_aligned(X!4, T2!1))) | (~(is_aligned(X!4, T0!3) <=> is_aligned(X!4, T2!1)))),
% 0.47/0.56 inference(tautology,[status(thm)],[])).
% 0.47/0.56 tff(199,plain,
% 0.47/0.56 (~(is_aligned(X!4, T0!3) <=> is_aligned(X!4, T2!1))),
% 0.47/0.56 inference(unit_resolution,[status(thm)],[198, 197])).
% 0.47/0.56 tff(200,plain,
% 0.47/0.56 ((is_aligned(X!4, T0!3) <=> is_aligned(X!4, T2!1)) | (~is_aligned(X!4, T0!3)) | (~is_aligned(X!4, T2!1))),
% 0.47/0.56 inference(tautology,[status(thm)],[])).
% 0.47/0.56 tff(201,plain,
% 0.47/0.56 ((is_aligned(X!4, T0!3) <=> is_aligned(X!4, T2!1)) | (~is_aligned(X!4, T2!1))),
% 0.47/0.56 inference(unit_resolution,[status(thm)],[200, 162])).
% 0.47/0.56 tff(202,plain,
% 0.47/0.56 (~is_aligned(X!4, T2!1)),
% 0.47/0.56 inference(unit_resolution,[status(thm)],[201, 199])).
% 0.47/0.56 tff(203,assumption,(has_immunity(X!4, T2!1)), introduced(assumption)).
% 0.47/0.56 tff(204,plain,
% 0.47/0.56 (((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | (has_endowment(X!4) | (~organization(X!4)) | (~has_immunity(X!4, T2!1)))) <=> ((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | has_endowment(X!4) | (~organization(X!4)) | (~has_immunity(X!4, T2!1)))),
% 0.47/0.56 inference(rewrite,[status(thm)],[])).
% 0.47/0.56 tff(205,plain,
% 0.47/0.56 (((~has_immunity(X!4, T2!1)) | has_endowment(X!4) | (~organization(X!4))) <=> (has_endowment(X!4) | (~organization(X!4)) | (~has_immunity(X!4, T2!1)))),
% 0.47/0.56 inference(rewrite,[status(thm)],[])).
% 0.47/0.56 tff(206,plain,
% 0.47/0.56 (((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | ((~has_immunity(X!4, T2!1)) | has_endowment(X!4) | (~organization(X!4)))) <=> ((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | (has_endowment(X!4) | (~organization(X!4)) | (~has_immunity(X!4, T2!1))))),
% 0.47/0.56 inference(monotonicity,[status(thm)],[205])).
% 0.47/0.56 tff(207,plain,
% 0.47/0.56 (((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | ((~has_immunity(X!4, T2!1)) | has_endowment(X!4) | (~organization(X!4)))) <=> ((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | has_endowment(X!4) | (~organization(X!4)) | (~has_immunity(X!4, T2!1)))),
% 0.47/0.57 inference(transitivity,[status(thm)],[206, 204])).
% 0.47/0.57 tff(208,plain,
% 0.47/0.57 ((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | ((~has_immunity(X!4, T2!1)) | has_endowment(X!4) | (~organization(X!4)))),
% 0.47/0.57 inference(quant_inst,[status(thm)],[])).
% 0.47/0.57 tff(209,plain,
% 0.47/0.57 ((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | has_endowment(X!4) | (~organization(X!4)) | (~has_immunity(X!4, T2!1))),
% 0.47/0.57 inference(modus_ponens,[status(thm)],[208, 207])).
% 0.47/0.57 tff(210,plain,
% 0.47/0.57 ($false),
% 0.47/0.57 inference(unit_resolution,[status(thm)],[209, 43, 30, 29, 203])).
% 0.47/0.57 tff(211,plain,(~has_immunity(X!4, T2!1)), inference(lemma,lemma(discharge,[]))).
% 0.47/0.57 tff(212,plain,
% 0.47/0.57 (((~![X: $i, T: $i] : ((~organization(X)) | (~((~((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low))) | (~(has_immunity(X, T) | (~((~((~positional_advantage(X, T)) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = low))) | (~((~positional_advantage(X, T)) | is_aligned(X, T) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(positional_advantage(X, T) | is_aligned(X, T) | (hazard_of_mortality(X, T) = high))))))))))) | ((~organization(X!4)) | (~((~((~has_immunity(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = very_low))) | (~(has_immunity(X!4, T2!1) | (~((~((~positional_advantage(X!4, T2!1)) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = low))) | (~((~positional_advantage(X!4, T2!1)) | is_aligned(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = mod1))) | (~(positional_advantage(X!4, T2!1) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = mod2))) | (~(is_aligned(X!4, T2!1) | positional_advantage(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = high))))))))))) <=> ((~![X: $i, T: $i] : ((~organization(X)) | (~((~((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low))) | (~(has_immunity(X, T) | (~((~((~positional_advantage(X, T)) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = low))) | (~((~positional_advantage(X, T)) | is_aligned(X, T) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(positional_advantage(X, T) | is_aligned(X, T) | (hazard_of_mortality(X, T) = high))))))))))) | (~organization(X!4)) | (~((~((~has_immunity(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = very_low))) | (~(has_immunity(X!4, T2!1) | (~((~((~positional_advantage(X!4, T2!1)) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = low))) | (~((~positional_advantage(X!4, T2!1)) | is_aligned(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = mod1))) | (~(positional_advantage(X!4, T2!1) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = mod2))) | (~(is_aligned(X!4, T2!1) | positional_advantage(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = high))))))))))),
% 0.47/0.57 inference(rewrite,[status(thm)],[])).
% 0.47/0.57 tff(213,plain,
% 0.47/0.57 (((~organization(X!4)) | (~((~((~has_immunity(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = very_low))) | (~(has_immunity(X!4, T2!1) | (~((~((~positional_advantage(X!4, T2!1)) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = low))) | (~((~positional_advantage(X!4, T2!1)) | is_aligned(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = mod1))) | (~(positional_advantage(X!4, T2!1) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = mod2))) | (~(positional_advantage(X!4, T2!1) | is_aligned(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = high)))))))))) <=> ((~organization(X!4)) | (~((~((~has_immunity(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = very_low))) | (~(has_immunity(X!4, T2!1) | (~((~((~positional_advantage(X!4, T2!1)) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = low))) | (~((~positional_advantage(X!4, T2!1)) | is_aligned(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = mod1))) | (~(positional_advantage(X!4, T2!1) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = mod2))) | (~(is_aligned(X!4, T2!1) | positional_advantage(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = high))))))))))),
% 0.47/0.57 inference(rewrite,[status(thm)],[])).
% 0.47/0.57 tff(214,plain,
% 0.47/0.57 (((~![X: $i, T: $i] : ((~organization(X)) | (~((~((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low))) | (~(has_immunity(X, T) | (~((~((~positional_advantage(X, T)) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = low))) | (~((~positional_advantage(X, T)) | is_aligned(X, T) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(positional_advantage(X, T) | is_aligned(X, T) | (hazard_of_mortality(X, T) = high))))))))))) | ((~organization(X!4)) | (~((~((~has_immunity(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = very_low))) | (~(has_immunity(X!4, T2!1) | (~((~((~positional_advantage(X!4, T2!1)) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = low))) | (~((~positional_advantage(X!4, T2!1)) | is_aligned(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = mod1))) | (~(positional_advantage(X!4, T2!1) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = mod2))) | (~(positional_advantage(X!4, T2!1) | is_aligned(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = high))))))))))) <=> ((~![X: $i, T: $i] : ((~organization(X)) | (~((~((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low))) | (~(has_immunity(X, T) | (~((~((~positional_advantage(X, T)) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = low))) | (~((~positional_advantage(X, T)) | is_aligned(X, T) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(positional_advantage(X, T) | is_aligned(X, T) | (hazard_of_mortality(X, T) = high))))))))))) | ((~organization(X!4)) | (~((~((~has_immunity(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = very_low))) | (~(has_immunity(X!4, T2!1) | (~((~((~positional_advantage(X!4, T2!1)) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = low))) | (~((~positional_advantage(X!4, T2!1)) | is_aligned(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = mod1))) | (~(positional_advantage(X!4, T2!1) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = mod2))) | (~(is_aligned(X!4, T2!1) | positional_advantage(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = high)))))))))))),
% 0.47/0.57 inference(monotonicity,[status(thm)],[213])).
% 0.47/0.57 tff(215,plain,
% 0.47/0.57 (((~![X: $i, T: $i] : ((~organization(X)) | (~((~((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low))) | (~(has_immunity(X, T) | (~((~((~positional_advantage(X, T)) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = low))) | (~((~positional_advantage(X, T)) | is_aligned(X, T) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(positional_advantage(X, T) | is_aligned(X, T) | (hazard_of_mortality(X, T) = high))))))))))) | ((~organization(X!4)) | (~((~((~has_immunity(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = very_low))) | (~(has_immunity(X!4, T2!1) | (~((~((~positional_advantage(X!4, T2!1)) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = low))) | (~((~positional_advantage(X!4, T2!1)) | is_aligned(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = mod1))) | (~(positional_advantage(X!4, T2!1) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = mod2))) | (~(positional_advantage(X!4, T2!1) | is_aligned(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = high))))))))))) <=> ((~![X: $i, T: $i] : ((~organization(X)) | (~((~((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low))) | (~(has_immunity(X, T) | (~((~((~positional_advantage(X, T)) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = low))) | (~((~positional_advantage(X, T)) | is_aligned(X, T) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(positional_advantage(X, T) | is_aligned(X, T) | (hazard_of_mortality(X, T) = high))))))))))) | (~organization(X!4)) | (~((~((~has_immunity(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = very_low))) | (~(has_immunity(X!4, T2!1) | (~((~((~positional_advantage(X!4, T2!1)) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = low))) | (~((~positional_advantage(X!4, T2!1)) | is_aligned(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = mod1))) | (~(positional_advantage(X!4, T2!1) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = mod2))) | (~(is_aligned(X!4, T2!1) | positional_advantage(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = high))))))))))),
% 0.47/0.57 inference(transitivity,[status(thm)],[214, 212])).
% 0.47/0.57 tff(216,plain,
% 0.47/0.57 ((~![X: $i, T: $i] : ((~organization(X)) | (~((~((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low))) | (~(has_immunity(X, T) | (~((~((~positional_advantage(X, T)) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = low))) | (~((~positional_advantage(X, T)) | is_aligned(X, T) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(positional_advantage(X, T) | is_aligned(X, T) | (hazard_of_mortality(X, T) = high))))))))))) | ((~organization(X!4)) | (~((~((~has_immunity(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = very_low))) | (~(has_immunity(X!4, T2!1) | (~((~((~positional_advantage(X!4, T2!1)) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = low))) | (~((~positional_advantage(X!4, T2!1)) | is_aligned(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = mod1))) | (~(positional_advantage(X!4, T2!1) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = mod2))) | (~(positional_advantage(X!4, T2!1) | is_aligned(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = high))))))))))),
% 0.47/0.57 inference(quant_inst,[status(thm)],[])).
% 0.47/0.57 tff(217,plain,
% 0.47/0.57 ((~![X: $i, T: $i] : ((~organization(X)) | (~((~((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low))) | (~(has_immunity(X, T) | (~((~((~positional_advantage(X, T)) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = low))) | (~((~positional_advantage(X, T)) | is_aligned(X, T) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(positional_advantage(X, T) | is_aligned(X, T) | (hazard_of_mortality(X, T) = high))))))))))) | (~organization(X!4)) | (~((~((~has_immunity(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = very_low))) | (~(has_immunity(X!4, T2!1) | (~((~((~positional_advantage(X!4, T2!1)) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = low))) | (~((~positional_advantage(X!4, T2!1)) | is_aligned(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = mod1))) | (~(positional_advantage(X!4, T2!1) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = mod2))) | (~(is_aligned(X!4, T2!1) | positional_advantage(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = high)))))))))),
% 0.47/0.57 inference(modus_ponens,[status(thm)],[216, 215])).
% 0.47/0.57 tff(218,plain,
% 0.47/0.57 (~((~((~has_immunity(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = very_low))) | (~(has_immunity(X!4, T2!1) | (~((~((~positional_advantage(X!4, T2!1)) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = low))) | (~((~positional_advantage(X!4, T2!1)) | is_aligned(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = mod1))) | (~(positional_advantage(X!4, T2!1) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = mod2))) | (~(is_aligned(X!4, T2!1) | positional_advantage(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = high))))))))),
% 0.47/0.57 inference(unit_resolution,[status(thm)],[217, 64, 30])).
% 0.47/0.57 tff(219,plain,
% 0.47/0.57 (((~((~has_immunity(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = very_low))) | (~(has_immunity(X!4, T2!1) | (~((~((~positional_advantage(X!4, T2!1)) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = low))) | (~((~positional_advantage(X!4, T2!1)) | is_aligned(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = mod1))) | (~(positional_advantage(X!4, T2!1) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = mod2))) | (~(is_aligned(X!4, T2!1) | positional_advantage(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = high)))))))) | (has_immunity(X!4, T2!1) | (~((~((~positional_advantage(X!4, T2!1)) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = low))) | (~((~positional_advantage(X!4, T2!1)) | is_aligned(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = mod1))) | (~(positional_advantage(X!4, T2!1) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = mod2))) | (~(is_aligned(X!4, T2!1) | positional_advantage(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = high))))))),
% 0.47/0.57 inference(tautology,[status(thm)],[])).
% 0.47/0.57 tff(220,plain,
% 0.47/0.57 (has_immunity(X!4, T2!1) | (~((~((~positional_advantage(X!4, T2!1)) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = low))) | (~((~positional_advantage(X!4, T2!1)) | is_aligned(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = mod1))) | (~(positional_advantage(X!4, T2!1) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = mod2))) | (~(is_aligned(X!4, T2!1) | positional_advantage(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = high)))))),
% 0.47/0.57 inference(unit_resolution,[status(thm)],[219, 218])).
% 0.47/0.57 tff(221,plain,
% 0.47/0.57 ((~(has_immunity(X!4, T2!1) | (~((~((~positional_advantage(X!4, T2!1)) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = low))) | (~((~positional_advantage(X!4, T2!1)) | is_aligned(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = mod1))) | (~(positional_advantage(X!4, T2!1) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = mod2))) | (~(is_aligned(X!4, T2!1) | positional_advantage(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = high))))))) | has_immunity(X!4, T2!1) | (~((~((~positional_advantage(X!4, T2!1)) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = low))) | (~((~positional_advantage(X!4, T2!1)) | is_aligned(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = mod1))) | (~(positional_advantage(X!4, T2!1) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = mod2))) | (~(is_aligned(X!4, T2!1) | positional_advantage(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = high)))))),
% 0.47/0.57 inference(tautology,[status(thm)],[])).
% 0.47/0.57 tff(222,plain,
% 0.47/0.57 (has_immunity(X!4, T2!1) | (~((~((~positional_advantage(X!4, T2!1)) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = low))) | (~((~positional_advantage(X!4, T2!1)) | is_aligned(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = mod1))) | (~(positional_advantage(X!4, T2!1) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = mod2))) | (~(is_aligned(X!4, T2!1) | positional_advantage(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = high)))))),
% 0.47/0.57 inference(unit_resolution,[status(thm)],[221, 220])).
% 0.47/0.57 tff(223,plain,
% 0.47/0.57 (~((~((~positional_advantage(X!4, T2!1)) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = low))) | (~((~positional_advantage(X!4, T2!1)) | is_aligned(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = mod1))) | (~(positional_advantage(X!4, T2!1) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = mod2))) | (~(is_aligned(X!4, T2!1) | positional_advantage(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = high))))),
% 0.47/0.57 inference(unit_resolution,[status(thm)],[222, 211])).
% 0.47/0.57 tff(224,plain,
% 0.47/0.57 (((~((~positional_advantage(X!4, T2!1)) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = low))) | (~((~positional_advantage(X!4, T2!1)) | is_aligned(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = mod1))) | (~(positional_advantage(X!4, T2!1) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = mod2))) | (~(is_aligned(X!4, T2!1) | positional_advantage(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = high)))) | (is_aligned(X!4, T2!1) | positional_advantage(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = high))),
% 0.47/0.57 inference(tautology,[status(thm)],[])).
% 0.47/0.57 tff(225,plain,
% 0.47/0.57 (is_aligned(X!4, T2!1) | positional_advantage(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = high)),
% 0.47/0.57 inference(unit_resolution,[status(thm)],[224, 223])).
% 0.47/0.57 tff(226,plain,
% 0.47/0.57 ((~![T: $i] : (~((~((~smaller_or_equal(age(X!4, T), sigma)) | positional_advantage(X!4, T))) | (~((~positional_advantage(X!4, T)) | (~greater(age(X!4, T), sigma))))))) | (~((~((~smaller_or_equal(age(X!4, T2!1), sigma)) | positional_advantage(X!4, T2!1))) | (~((~positional_advantage(X!4, T2!1)) | (~greater(age(X!4, T2!1), sigma))))))),
% 0.47/0.58 inference(quant_inst,[status(thm)],[])).
% 0.47/0.58 tff(227,plain,
% 0.47/0.58 (~((~((~smaller_or_equal(age(X!4, T2!1), sigma)) | positional_advantage(X!4, T2!1))) | (~((~positional_advantage(X!4, T2!1)) | (~greater(age(X!4, T2!1), sigma)))))),
% 0.47/0.58 inference(unit_resolution,[status(thm)],[226, 105])).
% 0.47/0.58 tff(228,plain,
% 0.47/0.58 (((~((~smaller_or_equal(age(X!4, T2!1), sigma)) | positional_advantage(X!4, T2!1))) | (~((~positional_advantage(X!4, T2!1)) | (~greater(age(X!4, T2!1), sigma))))) | ((~positional_advantage(X!4, T2!1)) | (~greater(age(X!4, T2!1), sigma)))),
% 0.47/0.58 inference(tautology,[status(thm)],[])).
% 0.47/0.58 tff(229,plain,
% 0.47/0.58 ((~positional_advantage(X!4, T2!1)) | (~greater(age(X!4, T2!1), sigma))),
% 0.47/0.58 inference(unit_resolution,[status(thm)],[228, 227])).
% 0.47/0.58 tff(230,plain,
% 0.47/0.58 ((~((~positional_advantage(X!4, T2!1)) | (~greater(age(X!4, T2!1), sigma)))) | (~positional_advantage(X!4, T2!1)) | (~greater(age(X!4, T2!1), sigma))),
% 0.47/0.58 inference(tautology,[status(thm)],[])).
% 0.47/0.58 tff(231,plain,
% 0.47/0.58 ((~((~positional_advantage(X!4, T2!1)) | (~greater(age(X!4, T2!1), sigma)))) | (~positional_advantage(X!4, T2!1))),
% 0.47/0.58 inference(unit_resolution,[status(thm)],[230, 191])).
% 0.47/0.58 tff(232,plain,
% 0.47/0.58 (~positional_advantage(X!4, T2!1)),
% 0.47/0.58 inference(unit_resolution,[status(thm)],[231, 229])).
% 0.47/0.58 tff(233,plain,
% 0.47/0.58 ((~(is_aligned(X!4, T2!1) | positional_advantage(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = high))) | is_aligned(X!4, T2!1) | positional_advantage(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = high)),
% 0.47/0.58 inference(tautology,[status(thm)],[])).
% 0.47/0.58 tff(234,plain,
% 0.47/0.58 ((~(is_aligned(X!4, T2!1) | positional_advantage(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = high))) | is_aligned(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = high)),
% 0.47/0.58 inference(unit_resolution,[status(thm)],[233, 232])).
% 0.47/0.58 tff(235,plain,
% 0.47/0.58 (is_aligned(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = high)),
% 0.47/0.58 inference(unit_resolution,[status(thm)],[234, 225])).
% 0.47/0.58 tff(236,plain,
% 0.47/0.58 (hazard_of_mortality(X!4, T2!1) = high),
% 0.47/0.58 inference(unit_resolution,[status(thm)],[235, 202])).
% 0.47/0.58 tff(237,assumption,(~greater(hazard_of_mortality(X!4, T2!1), hazard_of_mortality(X!4, T1!2))), introduced(assumption)).
% 0.47/0.58 tff(238,assumption,(hazard_of_mortality(X!4, T1!2) = mod1), introduced(assumption)).
% 0.47/0.58 tff(239,assumption,(hazard_of_mortality(X!4, T2!1) = high), introduced(assumption)).
% 0.47/0.58 tff(240,plain,
% 0.47/0.58 (greater(hazard_of_mortality(X!4, T2!1), hazard_of_mortality(X!4, T1!2)) <=> greater(high, mod1)),
% 0.47/0.58 inference(monotonicity,[status(thm)],[239, 238])).
% 0.47/0.58 tff(241,plain,
% 0.47/0.58 (greater(high, mod1) <=> greater(hazard_of_mortality(X!4, T2!1), hazard_of_mortality(X!4, T1!2))),
% 0.47/0.58 inference(symmetry,[status(thm)],[240])).
% 0.47/0.58 tff(242,plain,
% 0.47/0.58 (greater(high, mod1) <=> greater(high, mod1)),
% 0.47/0.58 inference(rewrite,[status(thm)],[])).
% 0.47/0.58 tff(243,axiom,(greater(high, mod1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','assumption_18a')).
% 0.47/0.58 tff(244,plain,
% 0.47/0.58 (greater(high, mod1)),
% 0.47/0.58 inference(modus_ponens,[status(thm)],[243, 242])).
% 0.47/0.58 tff(245,plain,
% 0.47/0.58 (greater(hazard_of_mortality(X!4, T2!1), hazard_of_mortality(X!4, T1!2))),
% 0.47/0.58 inference(modus_ponens,[status(thm)],[244, 241])).
% 0.47/0.58 tff(246,plain,
% 0.47/0.58 ($false),
% 0.47/0.58 inference(unit_resolution,[status(thm)],[237, 245])).
% 0.47/0.58 tff(247,plain,((~(hazard_of_mortality(X!4, T2!1) = high)) | greater(hazard_of_mortality(X!4, T2!1), hazard_of_mortality(X!4, T1!2)) | (~(hazard_of_mortality(X!4, T1!2) = mod1))), inference(lemma,lemma(discharge,[]))).
% 0.47/0.58 tff(248,plain,
% 0.47/0.58 (~(hazard_of_mortality(X!4, T1!2) = mod1)),
% 0.47/0.58 inference(unit_resolution,[status(thm)],[247, 237, 236])).
% 0.47/0.58 tff(249,assumption,(hazard_of_mortality(X!4, T1!2) = low), introduced(assumption)).
% 0.47/0.58 tff(250,assumption,(hazard_of_mortality(X!4, T2!1) = mod2), introduced(assumption)).
% 0.47/0.58 tff(251,plain,
% 0.47/0.58 (greater(hazard_of_mortality(X!4, T2!1), hazard_of_mortality(X!4, T1!2)) <=> greater(mod2, low)),
% 0.47/0.58 inference(monotonicity,[status(thm)],[250, 249])).
% 0.47/0.58 tff(252,plain,
% 0.47/0.58 (greater(mod2, low) <=> greater(hazard_of_mortality(X!4, T2!1), hazard_of_mortality(X!4, T1!2))),
% 0.47/0.58 inference(symmetry,[status(thm)],[251])).
% 0.47/0.58 tff(253,plain,
% 0.47/0.58 (greater(mod2, low) <=> greater(mod2, low)),
% 0.47/0.58 inference(rewrite,[status(thm)],[])).
% 0.47/0.58 tff(254,axiom,(greater(mod2, low)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','assumption_18e')).
% 0.47/0.58 tff(255,plain,
% 0.47/0.58 (greater(mod2, low)),
% 0.47/0.58 inference(modus_ponens,[status(thm)],[254, 253])).
% 0.47/0.58 tff(256,plain,
% 0.47/0.58 (greater(hazard_of_mortality(X!4, T2!1), hazard_of_mortality(X!4, T1!2))),
% 0.47/0.58 inference(modus_ponens,[status(thm)],[255, 252])).
% 0.47/0.58 tff(257,plain,
% 0.47/0.58 ($false),
% 0.47/0.58 inference(unit_resolution,[status(thm)],[237, 256])).
% 0.47/0.58 tff(258,plain,((~(hazard_of_mortality(X!4, T2!1) = mod2)) | greater(hazard_of_mortality(X!4, T2!1), hazard_of_mortality(X!4, T1!2)) | (~(hazard_of_mortality(X!4, T1!2) = low))), inference(lemma,lemma(discharge,[]))).
% 0.47/0.58 tff(259,plain,
% 0.47/0.58 (~(hazard_of_mortality(X!4, T2!1) = mod2)),
% 0.47/0.58 inference(unit_resolution,[status(thm)],[258, 249, 237])).
% 0.47/0.58 tff(260,plain,
% 0.47/0.58 (((~((~positional_advantage(X!4, T2!1)) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = low))) | (~((~positional_advantage(X!4, T2!1)) | is_aligned(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = mod1))) | (~(positional_advantage(X!4, T2!1) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = mod2))) | (~(is_aligned(X!4, T2!1) | positional_advantage(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = high)))) | (positional_advantage(X!4, T2!1) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = mod2))),
% 0.47/0.58 inference(tautology,[status(thm)],[])).
% 0.47/0.58 tff(261,plain,
% 0.47/0.58 (positional_advantage(X!4, T2!1) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = mod2)),
% 0.47/0.58 inference(unit_resolution,[status(thm)],[260, 223])).
% 0.47/0.58 tff(262,plain,
% 0.47/0.58 ((~(positional_advantage(X!4, T2!1) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = mod2))) | positional_advantage(X!4, T2!1) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = mod2)),
% 0.47/0.58 inference(tautology,[status(thm)],[])).
% 0.47/0.58 tff(263,plain,
% 0.47/0.58 ((~(positional_advantage(X!4, T2!1) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = mod2))) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = mod2)),
% 0.47/0.58 inference(unit_resolution,[status(thm)],[262, 232])).
% 0.47/0.58 tff(264,plain,
% 0.47/0.58 ((~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = mod2)),
% 0.47/0.58 inference(unit_resolution,[status(thm)],[263, 261])).
% 0.47/0.58 tff(265,plain,
% 0.47/0.58 (~is_aligned(X!4, T2!1)),
% 0.47/0.58 inference(unit_resolution,[status(thm)],[264, 259])).
% 0.47/0.58 tff(266,plain,
% 0.47/0.58 (hazard_of_mortality(X!4, T2!1) = high),
% 0.47/0.58 inference(unit_resolution,[status(thm)],[235, 265])).
% 0.47/0.58 tff(267,plain,
% 0.47/0.58 (greater(hazard_of_mortality(X!4, T2!1), hazard_of_mortality(X!4, T1!2)) <=> greater(high, low)),
% 0.47/0.58 inference(monotonicity,[status(thm)],[266, 249])).
% 0.47/0.58 tff(268,plain,
% 0.47/0.58 (greater(high, low) <=> greater(hazard_of_mortality(X!4, T2!1), hazard_of_mortality(X!4, T1!2))),
% 0.47/0.58 inference(symmetry,[status(thm)],[267])).
% 0.47/0.58 tff(269,plain,
% 0.47/0.58 (greater(mod1, low) <=> greater(mod1, low)),
% 0.47/0.58 inference(rewrite,[status(thm)],[])).
% 0.47/0.58 tff(270,axiom,(greater(mod1, low)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','assumption_18b')).
% 0.47/0.58 tff(271,plain,
% 0.47/0.58 (greater(mod1, low)),
% 0.47/0.58 inference(modus_ponens,[status(thm)],[270, 269])).
% 0.47/0.58 tff(272,plain,
% 0.47/0.58 (![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)))),
% 0.47/0.58 inference(rewrite,[status(thm)],[])).
% 0.47/0.58 tff(273,plain,
% 0.47/0.58 (^[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)))))),
% 0.47/0.58 inference(bind,[status(th)],[])).
% 0.47/0.58 tff(274,plain,
% 0.47/0.58 (![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)))),
% 0.47/0.58 inference(quant_intro,[status(thm)],[273])).
% 0.47/0.58 tff(275,plain,
% 0.47/0.58 (![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))),
% 0.47/0.58 inference(rewrite,[status(thm)],[])).
% 0.47/0.58 tff(276,plain,
% 0.47/0.58 (^[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)))),
% 0.47/0.58 inference(bind,[status(th)],[])).
% 0.47/0.58 tff(277,plain,
% 0.47/0.58 (![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))),
% 0.47/0.58 inference(quant_intro,[status(thm)],[276])).
% 0.47/0.58 tff(278,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')).
% 0.47/0.58 tff(279,plain,
% 0.47/0.58 (![X: $i, Y: $i, Z: $i] : ((~(greater(X, Y) & greater(Y, Z))) | greater(X, Z))),
% 0.47/0.58 inference(modus_ponens,[status(thm)],[278, 277])).
% 0.47/0.58 tff(280,plain,
% 0.47/0.58 (![X: $i, Y: $i, Z: $i] : ((~(greater(X, Y) & greater(Y, Z))) | greater(X, Z))),
% 0.47/0.58 inference(modus_ponens,[status(thm)],[279, 275])).
% 0.47/0.58 tff(281,plain,(
% 0.47/0.58 ![X: $i, Y: $i, Z: $i] : ((~(greater(X, Y) & greater(Y, Z))) | greater(X, Z))),
% 0.47/0.58 inference(skolemize,[status(sab)],[280])).
% 0.47/0.58 tff(282,plain,
% 0.47/0.58 (![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))),
% 0.47/0.58 inference(modus_ponens,[status(thm)],[281, 274])).
% 0.47/0.58 tff(283,plain,
% 0.47/0.58 (![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))),
% 0.47/0.58 inference(modus_ponens,[status(thm)],[282, 272])).
% 0.47/0.58 tff(284,plain,
% 0.47/0.58 (((~![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)))),
% 0.47/0.58 inference(rewrite,[status(thm)],[])).
% 0.47/0.58 tff(285,plain,
% 0.47/0.58 ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (greater(high, low) | (~greater(mod1, low)) | (~greater(high, mod1)))),
% 0.47/0.58 inference(quant_inst,[status(thm)],[])).
% 0.47/0.58 tff(286,plain,
% 0.47/0.58 ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | greater(high, low) | (~greater(mod1, low)) | (~greater(high, mod1))),
% 0.47/0.58 inference(modus_ponens,[status(thm)],[285, 284])).
% 0.47/0.58 tff(287,plain,
% 0.47/0.58 (greater(high, low)),
% 0.47/0.58 inference(unit_resolution,[status(thm)],[286, 283, 244, 271])).
% 0.47/0.58 tff(288,plain,
% 0.47/0.58 (greater(hazard_of_mortality(X!4, T2!1), hazard_of_mortality(X!4, T1!2))),
% 0.47/0.58 inference(modus_ponens,[status(thm)],[287, 268])).
% 0.47/0.58 tff(289,plain,
% 0.47/0.58 ($false),
% 0.47/0.58 inference(unit_resolution,[status(thm)],[237, 288])).
% 0.47/0.58 tff(290,plain,((~(hazard_of_mortality(X!4, T1!2) = low)) | greater(hazard_of_mortality(X!4, T2!1), hazard_of_mortality(X!4, T1!2))), inference(lemma,lemma(discharge,[]))).
% 0.47/0.58 tff(291,plain,
% 0.47/0.58 (~(hazard_of_mortality(X!4, T1!2) = low)),
% 0.47/0.58 inference(unit_resolution,[status(thm)],[290, 237])).
% 0.47/0.58 tff(292,assumption,(has_immunity(X!4, T1!2)), introduced(assumption)).
% 0.47/0.58 tff(293,plain,
% 0.47/0.58 (((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | (has_endowment(X!4) | (~organization(X!4)) | (~has_immunity(X!4, T1!2)))) <=> ((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | has_endowment(X!4) | (~organization(X!4)) | (~has_immunity(X!4, T1!2)))),
% 0.47/0.58 inference(rewrite,[status(thm)],[])).
% 0.47/0.58 tff(294,plain,
% 0.47/0.58 (((~has_immunity(X!4, T1!2)) | has_endowment(X!4) | (~organization(X!4))) <=> (has_endowment(X!4) | (~organization(X!4)) | (~has_immunity(X!4, T1!2)))),
% 0.47/0.58 inference(rewrite,[status(thm)],[])).
% 0.47/0.58 tff(295,plain,
% 0.47/0.58 (((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | ((~has_immunity(X!4, T1!2)) | has_endowment(X!4) | (~organization(X!4)))) <=> ((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | (has_endowment(X!4) | (~organization(X!4)) | (~has_immunity(X!4, T1!2))))),
% 0.47/0.58 inference(monotonicity,[status(thm)],[294])).
% 0.47/0.58 tff(296,plain,
% 0.47/0.58 (((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | ((~has_immunity(X!4, T1!2)) | has_endowment(X!4) | (~organization(X!4)))) <=> ((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | has_endowment(X!4) | (~organization(X!4)) | (~has_immunity(X!4, T1!2)))),
% 0.47/0.58 inference(transitivity,[status(thm)],[295, 293])).
% 0.47/0.58 tff(297,plain,
% 0.47/0.58 ((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | ((~has_immunity(X!4, T1!2)) | has_endowment(X!4) | (~organization(X!4)))),
% 0.47/0.58 inference(quant_inst,[status(thm)],[])).
% 0.47/0.58 tff(298,plain,
% 0.47/0.58 ((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | has_endowment(X!4) | (~organization(X!4)) | (~has_immunity(X!4, T1!2))),
% 0.47/0.58 inference(modus_ponens,[status(thm)],[297, 296])).
% 0.47/0.58 tff(299,plain,
% 0.47/0.58 ($false),
% 0.47/0.58 inference(unit_resolution,[status(thm)],[298, 43, 30, 29, 292])).
% 0.47/0.58 tff(300,plain,(~has_immunity(X!4, T1!2)), inference(lemma,lemma(discharge,[]))).
% 0.47/0.58 tff(301,plain,
% 0.47/0.58 (((~![X: $i, T: $i] : ((~organization(X)) | (~((~((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low))) | (~(has_immunity(X, T) | (~((~((~positional_advantage(X, T)) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = low))) | (~((~positional_advantage(X, T)) | is_aligned(X, T) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(positional_advantage(X, T) | is_aligned(X, T) | (hazard_of_mortality(X, T) = high))))))))))) | ((~organization(X!4)) | (~((~((~has_immunity(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = very_low))) | (~(has_immunity(X!4, T1!2) | (~((~((~positional_advantage(X!4, T1!2)) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = low))) | (~((~positional_advantage(X!4, T1!2)) | is_aligned(X!4, T1!2) | (hazard_of_mortality(X!4, T1!2) = mod1))) | (~(positional_advantage(X!4, T1!2) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = mod2))) | (~(is_aligned(X!4, T1!2) | positional_advantage(X!4, T1!2) | (hazard_of_mortality(X!4, T1!2) = high))))))))))) <=> ((~![X: $i, T: $i] : ((~organization(X)) | (~((~((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low))) | (~(has_immunity(X, T) | (~((~((~positional_advantage(X, T)) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = low))) | (~((~positional_advantage(X, T)) | is_aligned(X, T) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(positional_advantage(X, T) | is_aligned(X, T) | (hazard_of_mortality(X, T) = high))))))))))) | (~organization(X!4)) | (~((~((~has_immunity(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = very_low))) | (~(has_immunity(X!4, T1!2) | (~((~((~positional_advantage(X!4, T1!2)) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = low))) | (~((~positional_advantage(X!4, T1!2)) | is_aligned(X!4, T1!2) | (hazard_of_mortality(X!4, T1!2) = mod1))) | (~(positional_advantage(X!4, T1!2) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = mod2))) | (~(is_aligned(X!4, T1!2) | positional_advantage(X!4, T1!2) | (hazard_of_mortality(X!4, T1!2) = high))))))))))),
% 0.47/0.58 inference(rewrite,[status(thm)],[])).
% 0.47/0.58 tff(302,plain,
% 0.47/0.58 (((~organization(X!4)) | (~((~((~has_immunity(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = very_low))) | (~(has_immunity(X!4, T1!2) | (~((~((~positional_advantage(X!4, T1!2)) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = low))) | (~((~positional_advantage(X!4, T1!2)) | is_aligned(X!4, T1!2) | (hazard_of_mortality(X!4, T1!2) = mod1))) | (~(positional_advantage(X!4, T1!2) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = mod2))) | (~(positional_advantage(X!4, T1!2) | is_aligned(X!4, T1!2) | (hazard_of_mortality(X!4, T1!2) = high)))))))))) <=> ((~organization(X!4)) | (~((~((~has_immunity(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = very_low))) | (~(has_immunity(X!4, T1!2) | (~((~((~positional_advantage(X!4, T1!2)) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = low))) | (~((~positional_advantage(X!4, T1!2)) | is_aligned(X!4, T1!2) | (hazard_of_mortality(X!4, T1!2) = mod1))) | (~(positional_advantage(X!4, T1!2) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = mod2))) | (~(is_aligned(X!4, T1!2) | positional_advantage(X!4, T1!2) | (hazard_of_mortality(X!4, T1!2) = high))))))))))),
% 0.47/0.58 inference(rewrite,[status(thm)],[])).
% 0.47/0.58 tff(303,plain,
% 0.47/0.58 (((~![X: $i, T: $i] : ((~organization(X)) | (~((~((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low))) | (~(has_immunity(X, T) | (~((~((~positional_advantage(X, T)) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = low))) | (~((~positional_advantage(X, T)) | is_aligned(X, T) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(positional_advantage(X, T) | is_aligned(X, T) | (hazard_of_mortality(X, T) = high))))))))))) | ((~organization(X!4)) | (~((~((~has_immunity(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = very_low))) | (~(has_immunity(X!4, T1!2) | (~((~((~positional_advantage(X!4, T1!2)) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = low))) | (~((~positional_advantage(X!4, T1!2)) | is_aligned(X!4, T1!2) | (hazard_of_mortality(X!4, T1!2) = mod1))) | (~(positional_advantage(X!4, T1!2) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = mod2))) | (~(positional_advantage(X!4, T1!2) | is_aligned(X!4, T1!2) | (hazard_of_mortality(X!4, T1!2) = high))))))))))) <=> ((~![X: $i, T: $i] : ((~organization(X)) | (~((~((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low))) | (~(has_immunity(X, T) | (~((~((~positional_advantage(X, T)) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = low))) | (~((~positional_advantage(X, T)) | is_aligned(X, T) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(positional_advantage(X, T) | is_aligned(X, T) | (hazard_of_mortality(X, T) = high))))))))))) | ((~organization(X!4)) | (~((~((~has_immunity(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = very_low))) | (~(has_immunity(X!4, T1!2) | (~((~((~positional_advantage(X!4, T1!2)) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = low))) | (~((~positional_advantage(X!4, T1!2)) | is_aligned(X!4, T1!2) | (hazard_of_mortality(X!4, T1!2) = mod1))) | (~(positional_advantage(X!4, T1!2) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = mod2))) | (~(is_aligned(X!4, T1!2) | positional_advantage(X!4, T1!2) | (hazard_of_mortality(X!4, T1!2) = high)))))))))))),
% 0.47/0.58 inference(monotonicity,[status(thm)],[302])).
% 0.47/0.58 tff(304,plain,
% 0.47/0.58 (((~![X: $i, T: $i] : ((~organization(X)) | (~((~((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low))) | (~(has_immunity(X, T) | (~((~((~positional_advantage(X, T)) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = low))) | (~((~positional_advantage(X, T)) | is_aligned(X, T) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(positional_advantage(X, T) | is_aligned(X, T) | (hazard_of_mortality(X, T) = high))))))))))) | ((~organization(X!4)) | (~((~((~has_immunity(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = very_low))) | (~(has_immunity(X!4, T1!2) | (~((~((~positional_advantage(X!4, T1!2)) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = low))) | (~((~positional_advantage(X!4, T1!2)) | is_aligned(X!4, T1!2) | (hazard_of_mortality(X!4, T1!2) = mod1))) | (~(positional_advantage(X!4, T1!2) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = mod2))) | (~(positional_advantage(X!4, T1!2) | is_aligned(X!4, T1!2) | (hazard_of_mortality(X!4, T1!2) = high))))))))))) <=> ((~![X: $i, T: $i] : ((~organization(X)) | (~((~((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low))) | (~(has_immunity(X, T) | (~((~((~positional_advantage(X, T)) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = low))) | (~((~positional_advantage(X, T)) | is_aligned(X, T) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(positional_advantage(X, T) | is_aligned(X, T) | (hazard_of_mortality(X, T) = high))))))))))) | (~organization(X!4)) | (~((~((~has_immunity(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = very_low))) | (~(has_immunity(X!4, T1!2) | (~((~((~positional_advantage(X!4, T1!2)) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = low))) | (~((~positional_advantage(X!4, T1!2)) | is_aligned(X!4, T1!2) | (hazard_of_mortality(X!4, T1!2) = mod1))) | (~(positional_advantage(X!4, T1!2) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = mod2))) | (~(is_aligned(X!4, T1!2) | positional_advantage(X!4, T1!2) | (hazard_of_mortality(X!4, T1!2) = high))))))))))),
% 0.47/0.58 inference(transitivity,[status(thm)],[303, 301])).
% 0.47/0.58 tff(305,plain,
% 0.47/0.58 ((~![X: $i, T: $i] : ((~organization(X)) | (~((~((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low))) | (~(has_immunity(X, T) | (~((~((~positional_advantage(X, T)) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = low))) | (~((~positional_advantage(X, T)) | is_aligned(X, T) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(positional_advantage(X, T) | is_aligned(X, T) | (hazard_of_mortality(X, T) = high))))))))))) | ((~organization(X!4)) | (~((~((~has_immunity(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = very_low))) | (~(has_immunity(X!4, T1!2) | (~((~((~positional_advantage(X!4, T1!2)) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = low))) | (~((~positional_advantage(X!4, T1!2)) | is_aligned(X!4, T1!2) | (hazard_of_mortality(X!4, T1!2) = mod1))) | (~(positional_advantage(X!4, T1!2) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = mod2))) | (~(positional_advantage(X!4, T1!2) | is_aligned(X!4, T1!2) | (hazard_of_mortality(X!4, T1!2) = high))))))))))),
% 0.47/0.58 inference(quant_inst,[status(thm)],[])).
% 0.47/0.58 tff(306,plain,
% 0.47/0.58 ((~![X: $i, T: $i] : ((~organization(X)) | (~((~((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low))) | (~(has_immunity(X, T) | (~((~((~positional_advantage(X, T)) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = low))) | (~((~positional_advantage(X, T)) | is_aligned(X, T) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(positional_advantage(X, T) | is_aligned(X, T) | (hazard_of_mortality(X, T) = high))))))))))) | (~organization(X!4)) | (~((~((~has_immunity(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = very_low))) | (~(has_immunity(X!4, T1!2) | (~((~((~positional_advantage(X!4, T1!2)) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = low))) | (~((~positional_advantage(X!4, T1!2)) | is_aligned(X!4, T1!2) | (hazard_of_mortality(X!4, T1!2) = mod1))) | (~(positional_advantage(X!4, T1!2) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = mod2))) | (~(is_aligned(X!4, T1!2) | positional_advantage(X!4, T1!2) | (hazard_of_mortality(X!4, T1!2) = high)))))))))),
% 0.47/0.58 inference(modus_ponens,[status(thm)],[305, 304])).
% 0.47/0.58 tff(307,plain,
% 0.47/0.58 (~((~((~has_immunity(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = very_low))) | (~(has_immunity(X!4, T1!2) | (~((~((~positional_advantage(X!4, T1!2)) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = low))) | (~((~positional_advantage(X!4, T1!2)) | is_aligned(X!4, T1!2) | (hazard_of_mortality(X!4, T1!2) = mod1))) | (~(positional_advantage(X!4, T1!2) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = mod2))) | (~(is_aligned(X!4, T1!2) | positional_advantage(X!4, T1!2) | (hazard_of_mortality(X!4, T1!2) = high))))))))),
% 0.47/0.59 inference(unit_resolution,[status(thm)],[306, 64, 30])).
% 0.47/0.59 tff(308,plain,
% 0.47/0.59 (((~((~has_immunity(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = very_low))) | (~(has_immunity(X!4, T1!2) | (~((~((~positional_advantage(X!4, T1!2)) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = low))) | (~((~positional_advantage(X!4, T1!2)) | is_aligned(X!4, T1!2) | (hazard_of_mortality(X!4, T1!2) = mod1))) | (~(positional_advantage(X!4, T1!2) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = mod2))) | (~(is_aligned(X!4, T1!2) | positional_advantage(X!4, T1!2) | (hazard_of_mortality(X!4, T1!2) = high)))))))) | (has_immunity(X!4, T1!2) | (~((~((~positional_advantage(X!4, T1!2)) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = low))) | (~((~positional_advantage(X!4, T1!2)) | is_aligned(X!4, T1!2) | (hazard_of_mortality(X!4, T1!2) = mod1))) | (~(positional_advantage(X!4, T1!2) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = mod2))) | (~(is_aligned(X!4, T1!2) | positional_advantage(X!4, T1!2) | (hazard_of_mortality(X!4, T1!2) = high))))))),
% 0.47/0.59 inference(tautology,[status(thm)],[])).
% 0.47/0.59 tff(309,plain,
% 0.47/0.59 (has_immunity(X!4, T1!2) | (~((~((~positional_advantage(X!4, T1!2)) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = low))) | (~((~positional_advantage(X!4, T1!2)) | is_aligned(X!4, T1!2) | (hazard_of_mortality(X!4, T1!2) = mod1))) | (~(positional_advantage(X!4, T1!2) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = mod2))) | (~(is_aligned(X!4, T1!2) | positional_advantage(X!4, T1!2) | (hazard_of_mortality(X!4, T1!2) = high)))))),
% 0.47/0.59 inference(unit_resolution,[status(thm)],[308, 307])).
% 0.47/0.59 tff(310,plain,
% 0.47/0.59 ((~(has_immunity(X!4, T1!2) | (~((~((~positional_advantage(X!4, T1!2)) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = low))) | (~((~positional_advantage(X!4, T1!2)) | is_aligned(X!4, T1!2) | (hazard_of_mortality(X!4, T1!2) = mod1))) | (~(positional_advantage(X!4, T1!2) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = mod2))) | (~(is_aligned(X!4, T1!2) | positional_advantage(X!4, T1!2) | (hazard_of_mortality(X!4, T1!2) = high))))))) | has_immunity(X!4, T1!2) | (~((~((~positional_advantage(X!4, T1!2)) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = low))) | (~((~positional_advantage(X!4, T1!2)) | is_aligned(X!4, T1!2) | (hazard_of_mortality(X!4, T1!2) = mod1))) | (~(positional_advantage(X!4, T1!2) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = mod2))) | (~(is_aligned(X!4, T1!2) | positional_advantage(X!4, T1!2) | (hazard_of_mortality(X!4, T1!2) = high)))))),
% 0.47/0.59 inference(tautology,[status(thm)],[])).
% 0.47/0.59 tff(311,plain,
% 0.47/0.59 (has_immunity(X!4, T1!2) | (~((~((~positional_advantage(X!4, T1!2)) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = low))) | (~((~positional_advantage(X!4, T1!2)) | is_aligned(X!4, T1!2) | (hazard_of_mortality(X!4, T1!2) = mod1))) | (~(positional_advantage(X!4, T1!2) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = mod2))) | (~(is_aligned(X!4, T1!2) | positional_advantage(X!4, T1!2) | (hazard_of_mortality(X!4, T1!2) = high)))))),
% 0.47/0.59 inference(unit_resolution,[status(thm)],[310, 309])).
% 0.47/0.59 tff(312,plain,
% 0.47/0.59 (~((~((~positional_advantage(X!4, T1!2)) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = low))) | (~((~positional_advantage(X!4, T1!2)) | is_aligned(X!4, T1!2) | (hazard_of_mortality(X!4, T1!2) = mod1))) | (~(positional_advantage(X!4, T1!2) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = mod2))) | (~(is_aligned(X!4, T1!2) | positional_advantage(X!4, T1!2) | (hazard_of_mortality(X!4, T1!2) = high))))),
% 0.47/0.59 inference(unit_resolution,[status(thm)],[311, 300])).
% 0.47/0.59 tff(313,plain,
% 0.47/0.59 (((~((~positional_advantage(X!4, T1!2)) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = low))) | (~((~positional_advantage(X!4, T1!2)) | is_aligned(X!4, T1!2) | (hazard_of_mortality(X!4, T1!2) = mod1))) | (~(positional_advantage(X!4, T1!2) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = mod2))) | (~(is_aligned(X!4, T1!2) | positional_advantage(X!4, T1!2) | (hazard_of_mortality(X!4, T1!2) = high)))) | ((~positional_advantage(X!4, T1!2)) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = low))),
% 0.47/0.59 inference(tautology,[status(thm)],[])).
% 0.47/0.59 tff(314,plain,
% 0.47/0.59 ((~positional_advantage(X!4, T1!2)) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = low)),
% 0.47/0.59 inference(unit_resolution,[status(thm)],[313, 312])).
% 0.47/0.59 tff(315,plain,
% 0.47/0.59 ((~![T: $i] : (~((~((~smaller_or_equal(age(X!4, T), sigma)) | positional_advantage(X!4, T))) | (~((~positional_advantage(X!4, T)) | (~greater(age(X!4, T), sigma))))))) | (~((~((~smaller_or_equal(age(X!4, T1!2), sigma)) | positional_advantage(X!4, T1!2))) | (~((~positional_advantage(X!4, T1!2)) | (~greater(age(X!4, T1!2), sigma))))))),
% 0.47/0.59 inference(quant_inst,[status(thm)],[])).
% 0.47/0.59 tff(316,plain,
% 0.47/0.59 (~((~((~smaller_or_equal(age(X!4, T1!2), sigma)) | positional_advantage(X!4, T1!2))) | (~((~positional_advantage(X!4, T1!2)) | (~greater(age(X!4, T1!2), sigma)))))),
% 0.47/0.59 inference(unit_resolution,[status(thm)],[315, 105])).
% 0.47/0.59 tff(317,plain,
% 0.47/0.59 (((~((~smaller_or_equal(age(X!4, T1!2), sigma)) | positional_advantage(X!4, T1!2))) | (~((~positional_advantage(X!4, T1!2)) | (~greater(age(X!4, T1!2), sigma))))) | ((~smaller_or_equal(age(X!4, T1!2), sigma)) | positional_advantage(X!4, T1!2))),
% 0.47/0.59 inference(tautology,[status(thm)],[])).
% 0.47/0.59 tff(318,plain,
% 0.47/0.59 ((~smaller_or_equal(age(X!4, T1!2), sigma)) | positional_advantage(X!4, T1!2)),
% 0.47/0.59 inference(unit_resolution,[status(thm)],[317, 316])).
% 0.47/0.59 tff(319,plain,
% 0.47/0.59 (smaller_or_equal(age(X!4, T1!2), sigma)),
% 0.47/0.59 inference(and_elim,[status(thm)],[28])).
% 0.47/0.59 tff(320,plain,
% 0.47/0.59 ((~((~smaller_or_equal(age(X!4, T1!2), sigma)) | positional_advantage(X!4, T1!2))) | (~smaller_or_equal(age(X!4, T1!2), sigma)) | positional_advantage(X!4, T1!2)),
% 0.47/0.59 inference(tautology,[status(thm)],[])).
% 0.47/0.59 tff(321,plain,
% 0.47/0.59 ((~((~smaller_or_equal(age(X!4, T1!2), sigma)) | positional_advantage(X!4, T1!2))) | positional_advantage(X!4, T1!2)),
% 0.47/0.59 inference(unit_resolution,[status(thm)],[320, 319])).
% 0.47/0.59 tff(322,plain,
% 0.47/0.59 (positional_advantage(X!4, T1!2)),
% 0.47/0.59 inference(unit_resolution,[status(thm)],[321, 318])).
% 0.47/0.59 tff(323,plain,
% 0.47/0.59 ((~((~positional_advantage(X!4, T1!2)) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = low))) | (~positional_advantage(X!4, T1!2)) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = low)),
% 0.47/0.59 inference(tautology,[status(thm)],[])).
% 0.47/0.59 tff(324,plain,
% 0.47/0.59 ((~((~positional_advantage(X!4, T1!2)) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = low))) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = low)),
% 0.47/0.59 inference(unit_resolution,[status(thm)],[323, 322])).
% 0.47/0.59 tff(325,plain,
% 0.47/0.59 ((~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = low)),
% 0.47/0.59 inference(unit_resolution,[status(thm)],[324, 314])).
% 0.47/0.59 tff(326,plain,
% 0.47/0.59 (~is_aligned(X!4, T1!2)),
% 0.47/0.59 inference(unit_resolution,[status(thm)],[325, 291])).
% 0.47/0.59 tff(327,plain,
% 0.47/0.59 (((~((~positional_advantage(X!4, T1!2)) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = low))) | (~((~positional_advantage(X!4, T1!2)) | is_aligned(X!4, T1!2) | (hazard_of_mortality(X!4, T1!2) = mod1))) | (~(positional_advantage(X!4, T1!2) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = mod2))) | (~(is_aligned(X!4, T1!2) | positional_advantage(X!4, T1!2) | (hazard_of_mortality(X!4, T1!2) = high)))) | ((~positional_advantage(X!4, T1!2)) | is_aligned(X!4, T1!2) | (hazard_of_mortality(X!4, T1!2) = mod1))),
% 0.47/0.59 inference(tautology,[status(thm)],[])).
% 0.47/0.59 tff(328,plain,
% 0.47/0.59 ((~positional_advantage(X!4, T1!2)) | is_aligned(X!4, T1!2) | (hazard_of_mortality(X!4, T1!2) = mod1)),
% 0.47/0.59 inference(unit_resolution,[status(thm)],[327, 312])).
% 0.47/0.59 tff(329,plain,
% 0.47/0.59 ((~((~positional_advantage(X!4, T1!2)) | is_aligned(X!4, T1!2) | (hazard_of_mortality(X!4, T1!2) = mod1))) | (~positional_advantage(X!4, T1!2)) | is_aligned(X!4, T1!2) | (hazard_of_mortality(X!4, T1!2) = mod1)),
% 0.47/0.59 inference(tautology,[status(thm)],[])).
% 0.47/0.59 tff(330,plain,
% 0.47/0.59 ((~((~positional_advantage(X!4, T1!2)) | is_aligned(X!4, T1!2) | (hazard_of_mortality(X!4, T1!2) = mod1))) | is_aligned(X!4, T1!2) | (hazard_of_mortality(X!4, T1!2) = mod1)),
% 0.47/0.59 inference(unit_resolution,[status(thm)],[329, 322])).
% 0.47/0.59 tff(331,plain,
% 0.47/0.59 (is_aligned(X!4, T1!2) | (hazard_of_mortality(X!4, T1!2) = mod1)),
% 0.47/0.59 inference(unit_resolution,[status(thm)],[330, 328])).
% 0.47/0.59 tff(332,plain,
% 0.47/0.59 ($false),
% 0.47/0.59 inference(unit_resolution,[status(thm)],[331, 326, 248])).
% 0.47/0.59 tff(333,plain,(greater(hazard_of_mortality(X!4, T2!1), hazard_of_mortality(X!4, T1!2))), inference(lemma,lemma(discharge,[]))).
% 0.47/0.59 tff(334,plain,
% 0.47/0.59 ((~(~((~greater(hazard_of_mortality(X!4, T2!1), hazard_of_mortality(X!4, T1!2))) | (~(hazard_of_mortality(X!4, T1!2) = hazard_of_mortality(X!4, T0!3)))))) <=> ((~greater(hazard_of_mortality(X!4, T2!1), hazard_of_mortality(X!4, T1!2))) | (~(hazard_of_mortality(X!4, T1!2) = hazard_of_mortality(X!4, T0!3))))),
% 0.47/0.59 inference(rewrite,[status(thm)],[])).
% 0.47/0.59 tff(335,plain,
% 0.47/0.59 ((greater(hazard_of_mortality(X!4, T2!1), hazard_of_mortality(X!4, T1!2)) & (hazard_of_mortality(X!4, T1!2) = hazard_of_mortality(X!4, T0!3))) <=> (~((~greater(hazard_of_mortality(X!4, T2!1), hazard_of_mortality(X!4, T1!2))) | (~(hazard_of_mortality(X!4, T1!2) = hazard_of_mortality(X!4, T0!3)))))),
% 0.47/0.59 inference(rewrite,[status(thm)],[])).
% 0.47/0.59 tff(336,plain,
% 0.47/0.59 ((~(greater(hazard_of_mortality(X!4, T2!1), hazard_of_mortality(X!4, T1!2)) & (hazard_of_mortality(X!4, T1!2) = hazard_of_mortality(X!4, T0!3)))) <=> (~(~((~greater(hazard_of_mortality(X!4, T2!1), hazard_of_mortality(X!4, T1!2))) | (~(hazard_of_mortality(X!4, T1!2) = hazard_of_mortality(X!4, T0!3))))))),
% 0.47/0.59 inference(monotonicity,[status(thm)],[335])).
% 0.47/0.59 tff(337,plain,
% 0.47/0.59 ((~(greater(hazard_of_mortality(X!4, T2!1), hazard_of_mortality(X!4, T1!2)) & (hazard_of_mortality(X!4, T1!2) = hazard_of_mortality(X!4, T0!3)))) <=> ((~greater(hazard_of_mortality(X!4, T2!1), hazard_of_mortality(X!4, T1!2))) | (~(hazard_of_mortality(X!4, T1!2) = hazard_of_mortality(X!4, T0!3))))),
% 0.47/0.59 inference(transitivity,[status(thm)],[336, 334])).
% 0.47/0.59 tff(338,plain,
% 0.47/0.59 (~(greater(hazard_of_mortality(X!4, T2!1), hazard_of_mortality(X!4, T1!2)) & (hazard_of_mortality(X!4, T1!2) = hazard_of_mortality(X!4, T0!3)))),
% 0.47/0.59 inference(or_elim,[status(thm)],[27])).
% 0.47/0.59 tff(339,plain,
% 0.47/0.59 ((~greater(hazard_of_mortality(X!4, T2!1), hazard_of_mortality(X!4, T1!2))) | (~(hazard_of_mortality(X!4, T1!2) = hazard_of_mortality(X!4, T0!3)))),
% 0.47/0.59 inference(modus_ponens,[status(thm)],[338, 337])).
% 0.47/0.59 tff(340,plain,
% 0.47/0.59 (~(hazard_of_mortality(X!4, T1!2) = hazard_of_mortality(X!4, T0!3))),
% 0.47/0.59 inference(unit_resolution,[status(thm)],[339, 333])).
% 0.47/0.59 tff(341,plain,
% 0.47/0.59 (~(hazard_of_mortality(X!4, T1!2) = low)),
% 0.47/0.59 inference(modus_ponens,[status(thm)],[340, 168])).
% 0.47/0.59 tff(342,plain,
% 0.47/0.59 (~is_aligned(X!4, T1!2)),
% 0.47/0.59 inference(unit_resolution,[status(thm)],[325, 341])).
% 0.47/0.59 tff(343,plain,
% 0.47/0.59 ((~(is_aligned(X!4, T0!3) <=> is_aligned(X!4, T1!2))) | (~is_aligned(X!4, T0!3)) | is_aligned(X!4, T1!2)),
% 0.47/0.59 inference(tautology,[status(thm)],[])).
% 0.47/0.59 tff(344,plain,
% 0.47/0.59 (~(is_aligned(X!4, T0!3) <=> is_aligned(X!4, T1!2))),
% 0.47/0.59 inference(unit_resolution,[status(thm)],[343, 162, 342])).
% 0.47/0.59 tff(345,plain,
% 0.47/0.59 ((~((~organization(X!4)) | (is_aligned(X!4, T0!3) <=> is_aligned(X!4, T1!2)))) | (~organization(X!4)) | (is_aligned(X!4, T0!3) <=> is_aligned(X!4, T1!2))),
% 0.47/0.59 inference(tautology,[status(thm)],[])).
% 0.47/0.59 tff(346,plain,
% 0.47/0.59 (~((~organization(X!4)) | (is_aligned(X!4, T0!3) <=> is_aligned(X!4, T1!2)))),
% 0.47/0.59 inference(unit_resolution,[status(thm)],[345, 30, 344])).
% 0.47/0.59 tff(347,plain,
% 0.47/0.59 ((~(dissimilar(X!4, T0!3, T1!2) <=> (~((~organization(X!4)) | (is_aligned(X!4, T0!3) <=> is_aligned(X!4, T1!2)))))) | dissimilar(X!4, T0!3, T1!2) | ((~organization(X!4)) | (is_aligned(X!4, T0!3) <=> is_aligned(X!4, T1!2)))),
% 0.47/0.59 inference(tautology,[status(thm)],[])).
% 0.47/0.59 tff(348,plain,
% 0.47/0.59 ((~(dissimilar(X!4, T0!3, T1!2) <=> (~((~organization(X!4)) | (is_aligned(X!4, T0!3) <=> is_aligned(X!4, T1!2)))))) | dissimilar(X!4, T0!3, T1!2)),
% 0.47/0.59 inference(unit_resolution,[status(thm)],[347, 346])).
% 0.47/0.59 tff(349,plain,
% 0.47/0.59 (dissimilar(X!4, T0!3, T1!2)),
% 0.47/0.59 inference(unit_resolution,[status(thm)],[348, 15])).
% 0.47/0.59 tff(350,plain,
% 0.47/0.59 (((~((~smaller_or_equal(age(X!4, T1!2), sigma)) | positional_advantage(X!4, T1!2))) | (~((~positional_advantage(X!4, T1!2)) | (~greater(age(X!4, T1!2), sigma))))) | ((~positional_advantage(X!4, T1!2)) | (~greater(age(X!4, T1!2), sigma)))),
% 0.47/0.59 inference(tautology,[status(thm)],[])).
% 0.47/0.59 tff(351,plain,
% 0.47/0.59 ((~positional_advantage(X!4, T1!2)) | (~greater(age(X!4, T1!2), sigma))),
% 0.47/0.59 inference(unit_resolution,[status(thm)],[350, 316])).
% 0.47/0.59 tff(352,plain,
% 0.47/0.59 ((~((~positional_advantage(X!4, T1!2)) | (~greater(age(X!4, T1!2), sigma)))) | (~positional_advantage(X!4, T1!2)) | (~greater(age(X!4, T1!2), sigma))),
% 0.47/0.59 inference(tautology,[status(thm)],[])).
% 0.47/0.59 tff(353,plain,
% 0.47/0.59 (~greater(age(X!4, T1!2), sigma)),
% 0.47/0.59 inference(unit_resolution,[status(thm)],[352, 322, 351])).
% 0.47/0.59 tff(354,plain,
% 0.47/0.59 ((~(greater(age(X!4, T1!2), sigma) <=> dissimilar(X!4, T0!3, T1!2))) | greater(age(X!4, T1!2), sigma) | (~dissimilar(X!4, T0!3, T1!2))),
% 0.47/0.59 inference(tautology,[status(thm)],[])).
% 0.47/0.59 tff(355,plain,
% 0.47/0.59 (~(greater(age(X!4, T1!2), sigma) <=> dissimilar(X!4, T0!3, T1!2))),
% 0.47/0.59 inference(unit_resolution,[status(thm)],[354, 353, 349])).
% 0.47/0.59 tff(356,plain,
% 0.47/0.59 (((~![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))) | ((~organization(X!4)) | (~(age(X!4, T0!3) = zero)) | (greater(age(X!4, T1!2), sigma) <=> dissimilar(X!4, T0!3, T1!2)))) <=> ((~![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))) | (~organization(X!4)) | (~(age(X!4, T0!3) = zero)) | (greater(age(X!4, T1!2), sigma) <=> dissimilar(X!4, T0!3, T1!2)))),
% 0.47/0.59 inference(rewrite,[status(thm)],[])).
% 0.47/0.59 tff(357,plain,
% 0.47/0.59 (((greater(age(X!4, T1!2), sigma) <=> dissimilar(X!4, T0!3, T1!2)) | (~organization(X!4)) | (~(age(X!4, T0!3) = zero))) <=> ((~organization(X!4)) | (~(age(X!4, T0!3) = zero)) | (greater(age(X!4, T1!2), sigma) <=> dissimilar(X!4, T0!3, T1!2)))),
% 0.47/0.59 inference(rewrite,[status(thm)],[])).
% 0.47/0.59 tff(358,plain,
% 0.47/0.59 (((~![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))) | ((greater(age(X!4, T1!2), sigma) <=> dissimilar(X!4, T0!3, T1!2)) | (~organization(X!4)) | (~(age(X!4, T0!3) = zero)))) <=> ((~![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))) | ((~organization(X!4)) | (~(age(X!4, T0!3) = zero)) | (greater(age(X!4, T1!2), sigma) <=> dissimilar(X!4, T0!3, T1!2))))),
% 0.47/0.59 inference(monotonicity,[status(thm)],[357])).
% 0.47/0.59 tff(359,plain,
% 0.47/0.59 (((~![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))) | ((greater(age(X!4, T1!2), sigma) <=> dissimilar(X!4, T0!3, T1!2)) | (~organization(X!4)) | (~(age(X!4, T0!3) = zero)))) <=> ((~![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))) | (~organization(X!4)) | (~(age(X!4, T0!3) = zero)) | (greater(age(X!4, T1!2), sigma) <=> dissimilar(X!4, T0!3, T1!2)))),
% 0.47/0.59 inference(transitivity,[status(thm)],[358, 356])).
% 0.47/0.59 tff(360,plain,
% 0.47/0.59 ((~![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))) | ((greater(age(X!4, T1!2), sigma) <=> dissimilar(X!4, T0!3, T1!2)) | (~organization(X!4)) | (~(age(X!4, T0!3) = zero)))),
% 0.47/0.59 inference(quant_inst,[status(thm)],[])).
% 0.47/0.59 tff(361,plain,
% 0.47/0.59 ((~![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))) | (~organization(X!4)) | (~(age(X!4, T0!3) = zero)) | (greater(age(X!4, T1!2), sigma) <=> dissimilar(X!4, T0!3, T1!2))),
% 0.47/0.60 inference(modus_ponens,[status(thm)],[360, 359])).
% 0.47/0.60 tff(362,plain,
% 0.47/0.60 ($false),
% 0.47/0.60 inference(unit_resolution,[status(thm)],[361, 183, 30, 110, 355])).
% 0.47/0.60 % SZS output end Proof
%------------------------------------------------------------------------------