TSTP Solution File: MGT059+1 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : MGT059+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n001.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 0.13s 0.39s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : MGT059+1 : TPTP v8.1.0. Released v2.4.0.
% 0.12/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.34 % Computer : n001.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Sep 2 03:18:07 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.34 Usage: tptp [options] [-file:]file
% 0.13/0.34 -h, -? prints this message.
% 0.13/0.34 -smt2 print SMT-LIB2 benchmark.
% 0.13/0.34 -m, -model generate model.
% 0.13/0.34 -p, -proof generate proof.
% 0.13/0.34 -c, -core generate unsat core of named formulas.
% 0.13/0.34 -st, -statistics display statistics.
% 0.13/0.34 -t:timeout set timeout (in second).
% 0.13/0.34 -smt2status display status in smt2 format instead of SZS.
% 0.13/0.34 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.34 -<param>:<value> configuration parameter and value.
% 0.13/0.34 -o:<output-file> file to place output in.
% 0.13/0.39 % SZS status Theorem
% 0.13/0.39 % SZS output start Proof
% 0.13/0.39 tff(hazard_of_mortality_type, type, (
% 0.13/0.39 hazard_of_mortality: ( $i * $i ) > $i)).
% 0.13/0.39 tff(tptp_fun_T_0_type, type, (
% 0.13/0.39 tptp_fun_T_0: $i)).
% 0.13/0.39 tff(tptp_fun_X_2_type, type, (
% 0.13/0.39 tptp_fun_X_2: $i)).
% 0.13/0.39 tff(tptp_fun_T0_1_type, type, (
% 0.13/0.39 tptp_fun_T0_1: $i)).
% 0.13/0.39 tff(very_low_type, type, (
% 0.13/0.39 very_low: $i)).
% 0.13/0.39 tff(has_immunity_type, type, (
% 0.13/0.39 has_immunity: ( $i * $i ) > $o)).
% 0.13/0.39 tff(high_type, type, (
% 0.13/0.39 high: $i)).
% 0.13/0.39 tff(is_aligned_type, type, (
% 0.13/0.39 is_aligned: ( $i * $i ) > $o)).
% 0.13/0.39 tff(positional_advantage_type, type, (
% 0.13/0.39 positional_advantage: ( $i * $i ) > $o)).
% 0.13/0.39 tff(mod2_type, type, (
% 0.13/0.39 mod2: $i)).
% 0.13/0.39 tff(mod1_type, type, (
% 0.13/0.39 mod1: $i)).
% 0.13/0.39 tff(low_type, type, (
% 0.13/0.39 low: $i)).
% 0.13/0.39 tff(organization_type, type, (
% 0.13/0.39 organization: $i > $o)).
% 0.13/0.39 tff(1,plain,
% 0.13/0.39 ((very_low = hazard_of_mortality(X!2, T!0)) <=> (hazard_of_mortality(X!2, T!0) = very_low)),
% 0.13/0.39 inference(commutativity,[status(thm)],[])).
% 0.13/0.39 tff(2,plain,
% 0.13/0.39 ((~![X: $i, T0: $i, T: $i] : ((~(organization(X) & has_immunity(X, T0) & has_immunity(X, T))) | (hazard_of_mortality(X, T0) = hazard_of_mortality(X, T)))) <=> (~![X: $i, T0: $i, T: $i] : ((~(organization(X) & has_immunity(X, T0) & has_immunity(X, T))) | (hazard_of_mortality(X, T0) = hazard_of_mortality(X, T))))),
% 0.13/0.39 inference(rewrite,[status(thm)],[])).
% 0.13/0.39 tff(3,plain,
% 0.13/0.39 ((~![X: $i, T0: $i, T: $i] : (((organization(X) & has_immunity(X, T0)) & has_immunity(X, T)) => (hazard_of_mortality(X, T0) = hazard_of_mortality(X, T)))) <=> (~![X: $i, T0: $i, T: $i] : ((~(organization(X) & has_immunity(X, T0) & has_immunity(X, T))) | (hazard_of_mortality(X, T0) = hazard_of_mortality(X, T))))),
% 0.13/0.39 inference(rewrite,[status(thm)],[])).
% 0.13/0.39 tff(4,axiom,(~![X: $i, T0: $i, T: $i] : (((organization(X) & has_immunity(X, T0)) & has_immunity(X, T)) => (hazard_of_mortality(X, T0) = hazard_of_mortality(X, T)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','assumption_2')).
% 0.13/0.39 tff(5,plain,
% 0.13/0.39 (~![X: $i, T0: $i, T: $i] : ((~(organization(X) & has_immunity(X, T0) & has_immunity(X, T))) | (hazard_of_mortality(X, T0) = hazard_of_mortality(X, T)))),
% 0.13/0.39 inference(modus_ponens,[status(thm)],[4, 3])).
% 0.13/0.39 tff(6,plain,
% 0.13/0.39 (~![X: $i, T0: $i, T: $i] : ((~(organization(X) & has_immunity(X, T0) & has_immunity(X, T))) | (hazard_of_mortality(X, T0) = hazard_of_mortality(X, T)))),
% 0.13/0.39 inference(modus_ponens,[status(thm)],[5, 2])).
% 0.13/0.39 tff(7,plain,
% 0.13/0.39 (~![X: $i, T0: $i, T: $i] : ((~(organization(X) & has_immunity(X, T0) & has_immunity(X, T))) | (hazard_of_mortality(X, T0) = hazard_of_mortality(X, T)))),
% 0.13/0.39 inference(modus_ponens,[status(thm)],[6, 2])).
% 0.13/0.39 tff(8,plain,
% 0.13/0.39 (~![X: $i, T0: $i, T: $i] : ((~(organization(X) & has_immunity(X, T0) & has_immunity(X, T))) | (hazard_of_mortality(X, T0) = hazard_of_mortality(X, T)))),
% 0.13/0.39 inference(modus_ponens,[status(thm)],[7, 2])).
% 0.13/0.39 tff(9,plain,
% 0.13/0.39 (~![X: $i, T0: $i, T: $i] : ((~(organization(X) & has_immunity(X, T0) & has_immunity(X, T))) | (hazard_of_mortality(X, T0) = hazard_of_mortality(X, T)))),
% 0.13/0.39 inference(modus_ponens,[status(thm)],[8, 2])).
% 0.13/0.39 tff(10,plain,
% 0.13/0.39 (~![X: $i, T0: $i, T: $i] : ((~(organization(X) & has_immunity(X, T0) & has_immunity(X, T))) | (hazard_of_mortality(X, T0) = hazard_of_mortality(X, T)))),
% 0.13/0.39 inference(modus_ponens,[status(thm)],[9, 2])).
% 0.13/0.39 tff(11,plain,
% 0.13/0.39 (~![X: $i, T0: $i, T: $i] : ((~(organization(X) & has_immunity(X, T0) & has_immunity(X, T))) | (hazard_of_mortality(X, T0) = hazard_of_mortality(X, T)))),
% 0.13/0.39 inference(modus_ponens,[status(thm)],[10, 2])).
% 0.13/0.39 tff(12,plain,(
% 0.13/0.39 ~((~(organization(X!2) & has_immunity(X!2, T0!1) & has_immunity(X!2, T!0))) | (hazard_of_mortality(X!2, T0!1) = hazard_of_mortality(X!2, T!0)))),
% 0.13/0.39 inference(skolemize,[status(sab)],[11])).
% 0.13/0.39 tff(13,plain,
% 0.13/0.39 (organization(X!2) & has_immunity(X!2, T0!1) & has_immunity(X!2, T!0)),
% 0.13/0.39 inference(or_elim,[status(thm)],[12])).
% 0.13/0.39 tff(14,plain,
% 0.13/0.39 (organization(X!2)),
% 0.13/0.39 inference(and_elim,[status(thm)],[13])).
% 0.13/0.39 tff(15,plain,
% 0.13/0.39 (^[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))) | (~((hazard_of_mortality(X, T) = high) | positional_advantage(X, T) | is_aligned(X, T)))))))))) <=> ((~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))) | (~((hazard_of_mortality(X, T) = high) | positional_advantage(X, T) | is_aligned(X, T)))))))))))),
% 0.13/0.39 inference(bind,[status(th)],[])).
% 0.13/0.39 tff(16,plain,
% 0.13/0.39 (![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))) | (~((hazard_of_mortality(X, T) = high) | positional_advantage(X, T) | is_aligned(X, T)))))))))) <=> ![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))) | (~((hazard_of_mortality(X, T) = high) | positional_advantage(X, T) | is_aligned(X, T))))))))))),
% 0.13/0.39 inference(quant_intro,[status(thm)],[15])).
% 0.13/0.39 tff(17,plain,
% 0.13/0.39 (^[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))) | (~((hazard_of_mortality(X, T) = high) | positional_advantage(X, T) | is_aligned(X, T)))))))))))),
% 0.13/0.39 inference(bind,[status(th)],[])).
% 0.13/0.39 tff(18,plain,
% 0.13/0.39 (![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))) | (~((hazard_of_mortality(X, T) = high) | positional_advantage(X, T) | is_aligned(X, T))))))))))),
% 0.13/0.39 inference(quant_intro,[status(thm)],[17])).
% 0.13/0.39 tff(19,plain,
% 0.13/0.39 (![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))))))),
% 0.13/0.39 inference(rewrite,[status(thm)],[])).
% 0.13/0.39 tff(20,plain,
% 0.13/0.39 (^[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))))))))),
% 0.13/0.39 inference(bind,[status(th)],[])).
% 0.13/0.39 tff(21,plain,
% 0.13/0.39 (![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))))))),
% 0.13/0.39 inference(quant_intro,[status(thm)],[20])).
% 0.13/0.39 tff(22,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')).
% 0.13/0.39 tff(23,plain,
% 0.13/0.39 (![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))))))),
% 0.13/0.39 inference(modus_ponens,[status(thm)],[22, 21])).
% 0.13/0.39 tff(24,plain,
% 0.13/0.39 (![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))))))),
% 0.13/0.39 inference(modus_ponens,[status(thm)],[23, 19])).
% 0.13/0.39 tff(25,plain,(
% 0.13/0.39 ![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))))))),
% 0.13/0.40 inference(skolemize,[status(sab)],[24])).
% 0.13/0.40 tff(26,plain,
% 0.13/0.40 (![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))) | (~((hazard_of_mortality(X, T) = high) | positional_advantage(X, T) | is_aligned(X, T))))))))))),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[25, 18])).
% 0.13/0.40 tff(27,plain,
% 0.13/0.40 (![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))) | (~((hazard_of_mortality(X, T) = high) | positional_advantage(X, T) | is_aligned(X, T))))))))))),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[26, 16])).
% 0.13/0.40 tff(28,plain,
% 0.13/0.40 (((~![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))) | (~((hazard_of_mortality(X, T) = high) | positional_advantage(X, T) | is_aligned(X, T))))))))))) | ((~organization(X!2)) | (~((~((~has_immunity(X!2, T0!1)) | (hazard_of_mortality(X!2, T0!1) = very_low))) | (~(has_immunity(X!2, T0!1) | (~((~((~positional_advantage(X!2, T0!1)) | (~is_aligned(X!2, T0!1)) | (hazard_of_mortality(X!2, T0!1) = low))) | (~((~positional_advantage(X!2, T0!1)) | is_aligned(X!2, T0!1) | (hazard_of_mortality(X!2, T0!1) = mod1))) | (~(positional_advantage(X!2, T0!1) | (~is_aligned(X!2, T0!1)) | (hazard_of_mortality(X!2, T0!1) = mod2))) | (~(positional_advantage(X!2, T0!1) | is_aligned(X!2, T0!1) | (hazard_of_mortality(X!2, T0!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))) | (~((hazard_of_mortality(X, T) = high) | positional_advantage(X, T) | is_aligned(X, T))))))))))) | (~organization(X!2)) | (~((~((~has_immunity(X!2, T0!1)) | (hazard_of_mortality(X!2, T0!1) = very_low))) | (~(has_immunity(X!2, T0!1) | (~((~((~positional_advantage(X!2, T0!1)) | (~is_aligned(X!2, T0!1)) | (hazard_of_mortality(X!2, T0!1) = low))) | (~((~positional_advantage(X!2, T0!1)) | is_aligned(X!2, T0!1) | (hazard_of_mortality(X!2, T0!1) = mod1))) | (~(positional_advantage(X!2, T0!1) | (~is_aligned(X!2, T0!1)) | (hazard_of_mortality(X!2, T0!1) = mod2))) | (~(positional_advantage(X!2, T0!1) | is_aligned(X!2, T0!1) | (hazard_of_mortality(X!2, T0!1) = high))))))))))),
% 0.13/0.40 inference(rewrite,[status(thm)],[])).
% 0.13/0.40 tff(29,plain,
% 0.13/0.40 (((~organization(X!2)) | (~((~((~has_immunity(X!2, T0!1)) | (hazard_of_mortality(X!2, T0!1) = very_low))) | (~(has_immunity(X!2, T0!1) | (~((~((~positional_advantage(X!2, T0!1)) | (~is_aligned(X!2, T0!1)) | (hazard_of_mortality(X!2, T0!1) = low))) | (~((~positional_advantage(X!2, T0!1)) | is_aligned(X!2, T0!1) | (hazard_of_mortality(X!2, T0!1) = mod1))) | (~(positional_advantage(X!2, T0!1) | (~is_aligned(X!2, T0!1)) | (hazard_of_mortality(X!2, T0!1) = mod2))) | (~((hazard_of_mortality(X!2, T0!1) = high) | positional_advantage(X!2, T0!1) | is_aligned(X!2, T0!1)))))))))) <=> ((~organization(X!2)) | (~((~((~has_immunity(X!2, T0!1)) | (hazard_of_mortality(X!2, T0!1) = very_low))) | (~(has_immunity(X!2, T0!1) | (~((~((~positional_advantage(X!2, T0!1)) | (~is_aligned(X!2, T0!1)) | (hazard_of_mortality(X!2, T0!1) = low))) | (~((~positional_advantage(X!2, T0!1)) | is_aligned(X!2, T0!1) | (hazard_of_mortality(X!2, T0!1) = mod1))) | (~(positional_advantage(X!2, T0!1) | (~is_aligned(X!2, T0!1)) | (hazard_of_mortality(X!2, T0!1) = mod2))) | (~(positional_advantage(X!2, T0!1) | is_aligned(X!2, T0!1) | (hazard_of_mortality(X!2, T0!1) = high))))))))))),
% 0.13/0.40 inference(rewrite,[status(thm)],[])).
% 0.13/0.40 tff(30,plain,
% 0.13/0.40 (((~![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))) | (~((hazard_of_mortality(X, T) = high) | positional_advantage(X, T) | is_aligned(X, T))))))))))) | ((~organization(X!2)) | (~((~((~has_immunity(X!2, T0!1)) | (hazard_of_mortality(X!2, T0!1) = very_low))) | (~(has_immunity(X!2, T0!1) | (~((~((~positional_advantage(X!2, T0!1)) | (~is_aligned(X!2, T0!1)) | (hazard_of_mortality(X!2, T0!1) = low))) | (~((~positional_advantage(X!2, T0!1)) | is_aligned(X!2, T0!1) | (hazard_of_mortality(X!2, T0!1) = mod1))) | (~(positional_advantage(X!2, T0!1) | (~is_aligned(X!2, T0!1)) | (hazard_of_mortality(X!2, T0!1) = mod2))) | (~((hazard_of_mortality(X!2, T0!1) = high) | positional_advantage(X!2, T0!1) | is_aligned(X!2, T0!1))))))))))) <=> ((~![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))) | (~((hazard_of_mortality(X, T) = high) | positional_advantage(X, T) | is_aligned(X, T))))))))))) | ((~organization(X!2)) | (~((~((~has_immunity(X!2, T0!1)) | (hazard_of_mortality(X!2, T0!1) = very_low))) | (~(has_immunity(X!2, T0!1) | (~((~((~positional_advantage(X!2, T0!1)) | (~is_aligned(X!2, T0!1)) | (hazard_of_mortality(X!2, T0!1) = low))) | (~((~positional_advantage(X!2, T0!1)) | is_aligned(X!2, T0!1) | (hazard_of_mortality(X!2, T0!1) = mod1))) | (~(positional_advantage(X!2, T0!1) | (~is_aligned(X!2, T0!1)) | (hazard_of_mortality(X!2, T0!1) = mod2))) | (~(positional_advantage(X!2, T0!1) | is_aligned(X!2, T0!1) | (hazard_of_mortality(X!2, T0!1) = high)))))))))))),
% 0.13/0.40 inference(monotonicity,[status(thm)],[29])).
% 0.13/0.40 tff(31,plain,
% 0.13/0.40 (((~![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))) | (~((hazard_of_mortality(X, T) = high) | positional_advantage(X, T) | is_aligned(X, T))))))))))) | ((~organization(X!2)) | (~((~((~has_immunity(X!2, T0!1)) | (hazard_of_mortality(X!2, T0!1) = very_low))) | (~(has_immunity(X!2, T0!1) | (~((~((~positional_advantage(X!2, T0!1)) | (~is_aligned(X!2, T0!1)) | (hazard_of_mortality(X!2, T0!1) = low))) | (~((~positional_advantage(X!2, T0!1)) | is_aligned(X!2, T0!1) | (hazard_of_mortality(X!2, T0!1) = mod1))) | (~(positional_advantage(X!2, T0!1) | (~is_aligned(X!2, T0!1)) | (hazard_of_mortality(X!2, T0!1) = mod2))) | (~((hazard_of_mortality(X!2, T0!1) = high) | positional_advantage(X!2, T0!1) | is_aligned(X!2, T0!1))))))))))) <=> ((~![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))) | (~((hazard_of_mortality(X, T) = high) | positional_advantage(X, T) | is_aligned(X, T))))))))))) | (~organization(X!2)) | (~((~((~has_immunity(X!2, T0!1)) | (hazard_of_mortality(X!2, T0!1) = very_low))) | (~(has_immunity(X!2, T0!1) | (~((~((~positional_advantage(X!2, T0!1)) | (~is_aligned(X!2, T0!1)) | (hazard_of_mortality(X!2, T0!1) = low))) | (~((~positional_advantage(X!2, T0!1)) | is_aligned(X!2, T0!1) | (hazard_of_mortality(X!2, T0!1) = mod1))) | (~(positional_advantage(X!2, T0!1) | (~is_aligned(X!2, T0!1)) | (hazard_of_mortality(X!2, T0!1) = mod2))) | (~(positional_advantage(X!2, T0!1) | is_aligned(X!2, T0!1) | (hazard_of_mortality(X!2, T0!1) = high))))))))))),
% 0.13/0.40 inference(transitivity,[status(thm)],[30, 28])).
% 0.13/0.40 tff(32,plain,
% 0.13/0.40 ((~![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))) | (~((hazard_of_mortality(X, T) = high) | positional_advantage(X, T) | is_aligned(X, T))))))))))) | ((~organization(X!2)) | (~((~((~has_immunity(X!2, T0!1)) | (hazard_of_mortality(X!2, T0!1) = very_low))) | (~(has_immunity(X!2, T0!1) | (~((~((~positional_advantage(X!2, T0!1)) | (~is_aligned(X!2, T0!1)) | (hazard_of_mortality(X!2, T0!1) = low))) | (~((~positional_advantage(X!2, T0!1)) | is_aligned(X!2, T0!1) | (hazard_of_mortality(X!2, T0!1) = mod1))) | (~(positional_advantage(X!2, T0!1) | (~is_aligned(X!2, T0!1)) | (hazard_of_mortality(X!2, T0!1) = mod2))) | (~((hazard_of_mortality(X!2, T0!1) = high) | positional_advantage(X!2, T0!1) | is_aligned(X!2, T0!1))))))))))),
% 0.13/0.40 inference(quant_inst,[status(thm)],[])).
% 0.13/0.40 tff(33,plain,
% 0.13/0.40 ((~![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))) | (~((hazard_of_mortality(X, T) = high) | positional_advantage(X, T) | is_aligned(X, T))))))))))) | (~organization(X!2)) | (~((~((~has_immunity(X!2, T0!1)) | (hazard_of_mortality(X!2, T0!1) = very_low))) | (~(has_immunity(X!2, T0!1) | (~((~((~positional_advantage(X!2, T0!1)) | (~is_aligned(X!2, T0!1)) | (hazard_of_mortality(X!2, T0!1) = low))) | (~((~positional_advantage(X!2, T0!1)) | is_aligned(X!2, T0!1) | (hazard_of_mortality(X!2, T0!1) = mod1))) | (~(positional_advantage(X!2, T0!1) | (~is_aligned(X!2, T0!1)) | (hazard_of_mortality(X!2, T0!1) = mod2))) | (~(positional_advantage(X!2, T0!1) | is_aligned(X!2, T0!1) | (hazard_of_mortality(X!2, T0!1) = high)))))))))),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[32, 31])).
% 0.13/0.40 tff(34,plain,
% 0.13/0.40 (~((~((~has_immunity(X!2, T0!1)) | (hazard_of_mortality(X!2, T0!1) = very_low))) | (~(has_immunity(X!2, T0!1) | (~((~((~positional_advantage(X!2, T0!1)) | (~is_aligned(X!2, T0!1)) | (hazard_of_mortality(X!2, T0!1) = low))) | (~((~positional_advantage(X!2, T0!1)) | is_aligned(X!2, T0!1) | (hazard_of_mortality(X!2, T0!1) = mod1))) | (~(positional_advantage(X!2, T0!1) | (~is_aligned(X!2, T0!1)) | (hazard_of_mortality(X!2, T0!1) = mod2))) | (~(positional_advantage(X!2, T0!1) | is_aligned(X!2, T0!1) | (hazard_of_mortality(X!2, T0!1) = high))))))))),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[33, 27, 14])).
% 0.13/0.41 tff(35,plain,
% 0.13/0.41 (((~((~has_immunity(X!2, T0!1)) | (hazard_of_mortality(X!2, T0!1) = very_low))) | (~(has_immunity(X!2, T0!1) | (~((~((~positional_advantage(X!2, T0!1)) | (~is_aligned(X!2, T0!1)) | (hazard_of_mortality(X!2, T0!1) = low))) | (~((~positional_advantage(X!2, T0!1)) | is_aligned(X!2, T0!1) | (hazard_of_mortality(X!2, T0!1) = mod1))) | (~(positional_advantage(X!2, T0!1) | (~is_aligned(X!2, T0!1)) | (hazard_of_mortality(X!2, T0!1) = mod2))) | (~(positional_advantage(X!2, T0!1) | is_aligned(X!2, T0!1) | (hazard_of_mortality(X!2, T0!1) = high)))))))) | ((~has_immunity(X!2, T0!1)) | (hazard_of_mortality(X!2, T0!1) = very_low))),
% 0.13/0.41 inference(tautology,[status(thm)],[])).
% 0.13/0.41 tff(36,plain,
% 0.13/0.41 ((~has_immunity(X!2, T0!1)) | (hazard_of_mortality(X!2, T0!1) = very_low)),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[35, 34])).
% 0.13/0.41 tff(37,plain,
% 0.13/0.41 (has_immunity(X!2, T0!1)),
% 0.13/0.41 inference(and_elim,[status(thm)],[13])).
% 0.13/0.41 tff(38,plain,
% 0.13/0.41 ((~((~has_immunity(X!2, T0!1)) | (hazard_of_mortality(X!2, T0!1) = very_low))) | (~has_immunity(X!2, T0!1)) | (hazard_of_mortality(X!2, T0!1) = very_low)),
% 0.13/0.41 inference(tautology,[status(thm)],[])).
% 0.13/0.41 tff(39,plain,
% 0.13/0.41 ((~((~has_immunity(X!2, T0!1)) | (hazard_of_mortality(X!2, T0!1) = very_low))) | (hazard_of_mortality(X!2, T0!1) = very_low)),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[38, 37])).
% 0.13/0.41 tff(40,plain,
% 0.13/0.41 (hazard_of_mortality(X!2, T0!1) = very_low),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[39, 36])).
% 0.13/0.41 tff(41,plain,
% 0.13/0.41 ((hazard_of_mortality(X!2, T0!1) = hazard_of_mortality(X!2, T!0)) <=> (very_low = hazard_of_mortality(X!2, T!0))),
% 0.13/0.41 inference(monotonicity,[status(thm)],[40])).
% 0.13/0.41 tff(42,plain,
% 0.13/0.41 ((hazard_of_mortality(X!2, T0!1) = hazard_of_mortality(X!2, T!0)) <=> (hazard_of_mortality(X!2, T!0) = very_low)),
% 0.13/0.41 inference(transitivity,[status(thm)],[41, 1])).
% 0.13/0.41 tff(43,plain,
% 0.13/0.41 ((hazard_of_mortality(X!2, T!0) = very_low) <=> (hazard_of_mortality(X!2, T0!1) = hazard_of_mortality(X!2, T!0))),
% 0.13/0.41 inference(symmetry,[status(thm)],[42])).
% 0.13/0.41 tff(44,plain,
% 0.13/0.41 (((~![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))) | (~((hazard_of_mortality(X, T) = high) | positional_advantage(X, T) | is_aligned(X, T))))))))))) | ((~organization(X!2)) | (~((~((~has_immunity(X!2, T!0)) | (hazard_of_mortality(X!2, T!0) = very_low))) | (~(has_immunity(X!2, T!0) | (~((~((~positional_advantage(X!2, T!0)) | (~is_aligned(X!2, T!0)) | (hazard_of_mortality(X!2, T!0) = low))) | (~((~positional_advantage(X!2, T!0)) | is_aligned(X!2, T!0) | (hazard_of_mortality(X!2, T!0) = mod1))) | (~(positional_advantage(X!2, T!0) | (~is_aligned(X!2, T!0)) | (hazard_of_mortality(X!2, T!0) = mod2))) | (~(positional_advantage(X!2, T!0) | is_aligned(X!2, T!0) | (hazard_of_mortality(X!2, T!0) = 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))) | (~((hazard_of_mortality(X, T) = high) | positional_advantage(X, T) | is_aligned(X, T))))))))))) | (~organization(X!2)) | (~((~((~has_immunity(X!2, T!0)) | (hazard_of_mortality(X!2, T!0) = very_low))) | (~(has_immunity(X!2, T!0) | (~((~((~positional_advantage(X!2, T!0)) | (~is_aligned(X!2, T!0)) | (hazard_of_mortality(X!2, T!0) = low))) | (~((~positional_advantage(X!2, T!0)) | is_aligned(X!2, T!0) | (hazard_of_mortality(X!2, T!0) = mod1))) | (~(positional_advantage(X!2, T!0) | (~is_aligned(X!2, T!0)) | (hazard_of_mortality(X!2, T!0) = mod2))) | (~(positional_advantage(X!2, T!0) | is_aligned(X!2, T!0) | (hazard_of_mortality(X!2, T!0) = high))))))))))),
% 0.20/0.41 inference(rewrite,[status(thm)],[])).
% 0.20/0.41 tff(45,plain,
% 0.20/0.41 (((~organization(X!2)) | (~((~((~has_immunity(X!2, T!0)) | (hazard_of_mortality(X!2, T!0) = very_low))) | (~(has_immunity(X!2, T!0) | (~((~((~positional_advantage(X!2, T!0)) | (~is_aligned(X!2, T!0)) | (hazard_of_mortality(X!2, T!0) = low))) | (~((~positional_advantage(X!2, T!0)) | is_aligned(X!2, T!0) | (hazard_of_mortality(X!2, T!0) = mod1))) | (~(positional_advantage(X!2, T!0) | (~is_aligned(X!2, T!0)) | (hazard_of_mortality(X!2, T!0) = mod2))) | (~((hazard_of_mortality(X!2, T!0) = high) | positional_advantage(X!2, T!0) | is_aligned(X!2, T!0)))))))))) <=> ((~organization(X!2)) | (~((~((~has_immunity(X!2, T!0)) | (hazard_of_mortality(X!2, T!0) = very_low))) | (~(has_immunity(X!2, T!0) | (~((~((~positional_advantage(X!2, T!0)) | (~is_aligned(X!2, T!0)) | (hazard_of_mortality(X!2, T!0) = low))) | (~((~positional_advantage(X!2, T!0)) | is_aligned(X!2, T!0) | (hazard_of_mortality(X!2, T!0) = mod1))) | (~(positional_advantage(X!2, T!0) | (~is_aligned(X!2, T!0)) | (hazard_of_mortality(X!2, T!0) = mod2))) | (~(positional_advantage(X!2, T!0) | is_aligned(X!2, T!0) | (hazard_of_mortality(X!2, T!0) = high))))))))))),
% 0.20/0.41 inference(rewrite,[status(thm)],[])).
% 0.20/0.41 tff(46,plain,
% 0.20/0.41 (((~![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))) | (~((hazard_of_mortality(X, T) = high) | positional_advantage(X, T) | is_aligned(X, T))))))))))) | ((~organization(X!2)) | (~((~((~has_immunity(X!2, T!0)) | (hazard_of_mortality(X!2, T!0) = very_low))) | (~(has_immunity(X!2, T!0) | (~((~((~positional_advantage(X!2, T!0)) | (~is_aligned(X!2, T!0)) | (hazard_of_mortality(X!2, T!0) = low))) | (~((~positional_advantage(X!2, T!0)) | is_aligned(X!2, T!0) | (hazard_of_mortality(X!2, T!0) = mod1))) | (~(positional_advantage(X!2, T!0) | (~is_aligned(X!2, T!0)) | (hazard_of_mortality(X!2, T!0) = mod2))) | (~((hazard_of_mortality(X!2, T!0) = high) | positional_advantage(X!2, T!0) | is_aligned(X!2, T!0))))))))))) <=> ((~![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))) | (~((hazard_of_mortality(X, T) = high) | positional_advantage(X, T) | is_aligned(X, T))))))))))) | ((~organization(X!2)) | (~((~((~has_immunity(X!2, T!0)) | (hazard_of_mortality(X!2, T!0) = very_low))) | (~(has_immunity(X!2, T!0) | (~((~((~positional_advantage(X!2, T!0)) | (~is_aligned(X!2, T!0)) | (hazard_of_mortality(X!2, T!0) = low))) | (~((~positional_advantage(X!2, T!0)) | is_aligned(X!2, T!0) | (hazard_of_mortality(X!2, T!0) = mod1))) | (~(positional_advantage(X!2, T!0) | (~is_aligned(X!2, T!0)) | (hazard_of_mortality(X!2, T!0) = mod2))) | (~(positional_advantage(X!2, T!0) | is_aligned(X!2, T!0) | (hazard_of_mortality(X!2, T!0) = high)))))))))))),
% 0.20/0.41 inference(monotonicity,[status(thm)],[45])).
% 0.20/0.41 tff(47,plain,
% 0.20/0.41 (((~![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))) | (~((hazard_of_mortality(X, T) = high) | positional_advantage(X, T) | is_aligned(X, T))))))))))) | ((~organization(X!2)) | (~((~((~has_immunity(X!2, T!0)) | (hazard_of_mortality(X!2, T!0) = very_low))) | (~(has_immunity(X!2, T!0) | (~((~((~positional_advantage(X!2, T!0)) | (~is_aligned(X!2, T!0)) | (hazard_of_mortality(X!2, T!0) = low))) | (~((~positional_advantage(X!2, T!0)) | is_aligned(X!2, T!0) | (hazard_of_mortality(X!2, T!0) = mod1))) | (~(positional_advantage(X!2, T!0) | (~is_aligned(X!2, T!0)) | (hazard_of_mortality(X!2, T!0) = mod2))) | (~((hazard_of_mortality(X!2, T!0) = high) | positional_advantage(X!2, T!0) | is_aligned(X!2, T!0))))))))))) <=> ((~![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))) | (~((hazard_of_mortality(X, T) = high) | positional_advantage(X, T) | is_aligned(X, T))))))))))) | (~organization(X!2)) | (~((~((~has_immunity(X!2, T!0)) | (hazard_of_mortality(X!2, T!0) = very_low))) | (~(has_immunity(X!2, T!0) | (~((~((~positional_advantage(X!2, T!0)) | (~is_aligned(X!2, T!0)) | (hazard_of_mortality(X!2, T!0) = low))) | (~((~positional_advantage(X!2, T!0)) | is_aligned(X!2, T!0) | (hazard_of_mortality(X!2, T!0) = mod1))) | (~(positional_advantage(X!2, T!0) | (~is_aligned(X!2, T!0)) | (hazard_of_mortality(X!2, T!0) = mod2))) | (~(positional_advantage(X!2, T!0) | is_aligned(X!2, T!0) | (hazard_of_mortality(X!2, T!0) = high))))))))))),
% 0.20/0.41 inference(transitivity,[status(thm)],[46, 44])).
% 0.20/0.41 tff(48,plain,
% 0.20/0.41 ((~![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))) | (~((hazard_of_mortality(X, T) = high) | positional_advantage(X, T) | is_aligned(X, T))))))))))) | ((~organization(X!2)) | (~((~((~has_immunity(X!2, T!0)) | (hazard_of_mortality(X!2, T!0) = very_low))) | (~(has_immunity(X!2, T!0) | (~((~((~positional_advantage(X!2, T!0)) | (~is_aligned(X!2, T!0)) | (hazard_of_mortality(X!2, T!0) = low))) | (~((~positional_advantage(X!2, T!0)) | is_aligned(X!2, T!0) | (hazard_of_mortality(X!2, T!0) = mod1))) | (~(positional_advantage(X!2, T!0) | (~is_aligned(X!2, T!0)) | (hazard_of_mortality(X!2, T!0) = mod2))) | (~((hazard_of_mortality(X!2, T!0) = high) | positional_advantage(X!2, T!0) | is_aligned(X!2, T!0))))))))))),
% 0.20/0.41 inference(quant_inst,[status(thm)],[])).
% 0.20/0.41 tff(49,plain,
% 0.20/0.41 ((~![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))) | (~((hazard_of_mortality(X, T) = high) | positional_advantage(X, T) | is_aligned(X, T))))))))))) | (~organization(X!2)) | (~((~((~has_immunity(X!2, T!0)) | (hazard_of_mortality(X!2, T!0) = very_low))) | (~(has_immunity(X!2, T!0) | (~((~((~positional_advantage(X!2, T!0)) | (~is_aligned(X!2, T!0)) | (hazard_of_mortality(X!2, T!0) = low))) | (~((~positional_advantage(X!2, T!0)) | is_aligned(X!2, T!0) | (hazard_of_mortality(X!2, T!0) = mod1))) | (~(positional_advantage(X!2, T!0) | (~is_aligned(X!2, T!0)) | (hazard_of_mortality(X!2, T!0) = mod2))) | (~(positional_advantage(X!2, T!0) | is_aligned(X!2, T!0) | (hazard_of_mortality(X!2, T!0) = high)))))))))),
% 0.20/0.42 inference(modus_ponens,[status(thm)],[48, 47])).
% 0.20/0.42 tff(50,plain,
% 0.20/0.42 (~((~((~has_immunity(X!2, T!0)) | (hazard_of_mortality(X!2, T!0) = very_low))) | (~(has_immunity(X!2, T!0) | (~((~((~positional_advantage(X!2, T!0)) | (~is_aligned(X!2, T!0)) | (hazard_of_mortality(X!2, T!0) = low))) | (~((~positional_advantage(X!2, T!0)) | is_aligned(X!2, T!0) | (hazard_of_mortality(X!2, T!0) = mod1))) | (~(positional_advantage(X!2, T!0) | (~is_aligned(X!2, T!0)) | (hazard_of_mortality(X!2, T!0) = mod2))) | (~(positional_advantage(X!2, T!0) | is_aligned(X!2, T!0) | (hazard_of_mortality(X!2, T!0) = high))))))))),
% 0.20/0.42 inference(unit_resolution,[status(thm)],[49, 27, 14])).
% 0.20/0.42 tff(51,plain,
% 0.20/0.42 (((~((~has_immunity(X!2, T!0)) | (hazard_of_mortality(X!2, T!0) = very_low))) | (~(has_immunity(X!2, T!0) | (~((~((~positional_advantage(X!2, T!0)) | (~is_aligned(X!2, T!0)) | (hazard_of_mortality(X!2, T!0) = low))) | (~((~positional_advantage(X!2, T!0)) | is_aligned(X!2, T!0) | (hazard_of_mortality(X!2, T!0) = mod1))) | (~(positional_advantage(X!2, T!0) | (~is_aligned(X!2, T!0)) | (hazard_of_mortality(X!2, T!0) = mod2))) | (~(positional_advantage(X!2, T!0) | is_aligned(X!2, T!0) | (hazard_of_mortality(X!2, T!0) = high)))))))) | ((~has_immunity(X!2, T!0)) | (hazard_of_mortality(X!2, T!0) = very_low))),
% 0.20/0.42 inference(tautology,[status(thm)],[])).
% 0.20/0.42 tff(52,plain,
% 0.20/0.42 ((~has_immunity(X!2, T!0)) | (hazard_of_mortality(X!2, T!0) = very_low)),
% 0.20/0.42 inference(unit_resolution,[status(thm)],[51, 50])).
% 0.20/0.42 tff(53,plain,
% 0.20/0.42 (has_immunity(X!2, T!0)),
% 0.20/0.42 inference(and_elim,[status(thm)],[13])).
% 0.20/0.42 tff(54,plain,
% 0.20/0.42 ((~((~has_immunity(X!2, T!0)) | (hazard_of_mortality(X!2, T!0) = very_low))) | (~has_immunity(X!2, T!0)) | (hazard_of_mortality(X!2, T!0) = very_low)),
% 0.20/0.42 inference(tautology,[status(thm)],[])).
% 0.20/0.42 tff(55,plain,
% 0.20/0.42 ((~((~has_immunity(X!2, T!0)) | (hazard_of_mortality(X!2, T!0) = very_low))) | (hazard_of_mortality(X!2, T!0) = very_low)),
% 0.20/0.42 inference(unit_resolution,[status(thm)],[54, 53])).
% 0.20/0.42 tff(56,plain,
% 0.20/0.42 (hazard_of_mortality(X!2, T!0) = very_low),
% 0.20/0.42 inference(unit_resolution,[status(thm)],[55, 52])).
% 0.20/0.42 tff(57,plain,
% 0.20/0.42 (hazard_of_mortality(X!2, T0!1) = hazard_of_mortality(X!2, T!0)),
% 0.20/0.42 inference(modus_ponens,[status(thm)],[56, 43])).
% 0.20/0.42 tff(58,plain,
% 0.20/0.42 (~(hazard_of_mortality(X!2, T0!1) = hazard_of_mortality(X!2, T!0))),
% 0.20/0.42 inference(or_elim,[status(thm)],[12])).
% 0.20/0.42 tff(59,plain,
% 0.20/0.42 ($false),
% 0.20/0.42 inference(unit_resolution,[status(thm)],[58, 57])).
% 0.20/0.42 % SZS output end Proof
%------------------------------------------------------------------------------