TSTP Solution File: MGT060+1 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : MGT060+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n022.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 0.14s 0.34s
% Output : Proof 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.09 % Problem : MGT060+1 : TPTP v8.1.0. Released v2.4.0.
% 0.04/0.09 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.09/0.29 % Computer : n022.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Fri Sep 2 02:58:10 EDT 2022
% 0.09/0.29 % CPUTime :
% 0.09/0.30 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.09/0.30 Usage: tptp [options] [-file:]file
% 0.09/0.30 -h, -? prints this message.
% 0.09/0.30 -smt2 print SMT-LIB2 benchmark.
% 0.09/0.30 -m, -model generate model.
% 0.09/0.30 -p, -proof generate proof.
% 0.09/0.30 -c, -core generate unsat core of named formulas.
% 0.09/0.30 -st, -statistics display statistics.
% 0.09/0.30 -t:timeout set timeout (in second).
% 0.09/0.30 -smt2status display status in smt2 format instead of SZS.
% 0.09/0.30 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.09/0.30 -<param>:<value> configuration parameter and value.
% 0.09/0.30 -o:<output-file> file to place output in.
% 0.14/0.34 % SZS status Theorem
% 0.14/0.34 % SZS output start Proof
% 0.14/0.34 tff(greater_type, type, (
% 0.14/0.34 greater: ( $i * $i ) > $o)).
% 0.14/0.34 tff(hazard_of_mortality_type, type, (
% 0.14/0.34 hazard_of_mortality: ( $i * $i ) > $i)).
% 0.14/0.34 tff(tptp_fun_T0_1_type, type, (
% 0.14/0.34 tptp_fun_T0_1: $i)).
% 0.14/0.34 tff(tptp_fun_X_2_type, type, (
% 0.14/0.34 tptp_fun_X_2: $i)).
% 0.14/0.34 tff(tptp_fun_T_0_type, type, (
% 0.14/0.34 tptp_fun_T_0: $i)).
% 0.14/0.34 tff(very_low_type, type, (
% 0.14/0.34 very_low: $i)).
% 0.14/0.34 tff(high_type, type, (
% 0.14/0.34 high: $i)).
% 0.14/0.34 tff(has_immunity_type, type, (
% 0.14/0.34 has_immunity: ( $i * $i ) > $o)).
% 0.14/0.34 tff(is_aligned_type, type, (
% 0.14/0.34 is_aligned: ( $i * $i ) > $o)).
% 0.14/0.34 tff(positional_advantage_type, type, (
% 0.14/0.34 positional_advantage: ( $i * $i ) > $o)).
% 0.14/0.34 tff(mod2_type, type, (
% 0.14/0.34 mod2: $i)).
% 0.14/0.34 tff(mod1_type, type, (
% 0.14/0.34 mod1: $i)).
% 0.14/0.34 tff(low_type, type, (
% 0.14/0.34 low: $i)).
% 0.14/0.34 tff(organization_type, type, (
% 0.14/0.34 organization: $i > $o)).
% 0.14/0.34 tff(1,plain,
% 0.14/0.34 ((~![X: $i, T0: $i, T: $i] : ((~(organization(X) & has_immunity(X, T0) & (~has_immunity(X, T)))) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)))) <=> (~![X: $i, T0: $i, T: $i] : ((~(organization(X) & has_immunity(X, T0) & (~has_immunity(X, T)))) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))))),
% 0.14/0.34 inference(rewrite,[status(thm)],[])).
% 0.14/0.34 tff(2,plain,
% 0.14/0.34 ((~![X: $i, T0: $i, T: $i] : (((organization(X) & has_immunity(X, T0)) & (~has_immunity(X, T))) => greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)))) <=> (~![X: $i, T0: $i, T: $i] : ((~(organization(X) & has_immunity(X, T0) & (~has_immunity(X, T)))) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))))),
% 0.14/0.34 inference(rewrite,[status(thm)],[])).
% 0.14/0.34 tff(3,axiom,(~![X: $i, T0: $i, T: $i] : (((organization(X) & has_immunity(X, T0)) & (~has_immunity(X, T))) => greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','assumption_3')).
% 0.14/0.34 tff(4,plain,
% 0.14/0.34 (~![X: $i, T0: $i, T: $i] : ((~(organization(X) & has_immunity(X, T0) & (~has_immunity(X, T)))) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)))),
% 0.14/0.34 inference(modus_ponens,[status(thm)],[3, 2])).
% 0.14/0.34 tff(5,plain,
% 0.14/0.34 (~![X: $i, T0: $i, T: $i] : ((~(organization(X) & has_immunity(X, T0) & (~has_immunity(X, T)))) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)))),
% 0.14/0.34 inference(modus_ponens,[status(thm)],[4, 1])).
% 0.14/0.34 tff(6,plain,
% 0.14/0.34 (~![X: $i, T0: $i, T: $i] : ((~(organization(X) & has_immunity(X, T0) & (~has_immunity(X, T)))) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)))),
% 0.14/0.34 inference(modus_ponens,[status(thm)],[5, 1])).
% 0.14/0.34 tff(7,plain,
% 0.14/0.34 (~![X: $i, T0: $i, T: $i] : ((~(organization(X) & has_immunity(X, T0) & (~has_immunity(X, T)))) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)))),
% 0.14/0.34 inference(modus_ponens,[status(thm)],[6, 1])).
% 0.14/0.34 tff(8,plain,
% 0.14/0.34 (~![X: $i, T0: $i, T: $i] : ((~(organization(X) & has_immunity(X, T0) & (~has_immunity(X, T)))) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)))),
% 0.14/0.34 inference(modus_ponens,[status(thm)],[7, 1])).
% 0.14/0.34 tff(9,plain,
% 0.14/0.34 (~![X: $i, T0: $i, T: $i] : ((~(organization(X) & has_immunity(X, T0) & (~has_immunity(X, T)))) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)))),
% 0.14/0.34 inference(modus_ponens,[status(thm)],[8, 1])).
% 0.14/0.34 tff(10,plain,
% 0.14/0.34 (~![X: $i, T0: $i, T: $i] : ((~(organization(X) & has_immunity(X, T0) & (~has_immunity(X, T)))) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)))),
% 0.14/0.34 inference(modus_ponens,[status(thm)],[9, 1])).
% 0.14/0.34 tff(11,plain,(
% 0.14/0.34 ~((~(organization(X!2) & has_immunity(X!2, T0!1) & (~has_immunity(X!2, T!0)))) | greater(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1)))),
% 0.14/0.34 inference(skolemize,[status(sab)],[10])).
% 0.14/0.34 tff(12,plain,
% 0.14/0.34 (organization(X!2) & has_immunity(X!2, T0!1) & (~has_immunity(X!2, T!0))),
% 0.14/0.34 inference(or_elim,[status(thm)],[11])).
% 0.14/0.34 tff(13,plain,
% 0.14/0.34 (organization(X!2)),
% 0.14/0.34 inference(and_elim,[status(thm)],[12])).
% 0.14/0.34 tff(14,plain,
% 0.14/0.34 (^[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)))))))))))),
% 0.14/0.34 inference(bind,[status(th)],[])).
% 0.14/0.34 tff(15,plain,
% 0.14/0.34 (![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))))))))))),
% 0.14/0.34 inference(quant_intro,[status(thm)],[14])).
% 0.14/0.34 tff(16,plain,
% 0.14/0.34 (^[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)))))))))))),
% 0.14/0.34 inference(bind,[status(th)],[])).
% 0.14/0.34 tff(17,plain,
% 0.14/0.34 (![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))))))))))),
% 0.14/0.34 inference(quant_intro,[status(thm)],[16])).
% 0.14/0.34 tff(18,plain,
% 0.14/0.34 (![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))))))),
% 0.14/0.34 inference(rewrite,[status(thm)],[])).
% 0.14/0.34 tff(19,plain,
% 0.14/0.34 (^[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))))))))),
% 0.14/0.34 inference(bind,[status(th)],[])).
% 0.14/0.34 tff(20,plain,
% 0.14/0.34 (![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))))))),
% 0.14/0.34 inference(quant_intro,[status(thm)],[19])).
% 0.14/0.34 tff(21,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')).
% 0.14/0.34 tff(22,plain,
% 0.14/0.34 (![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))))))),
% 0.14/0.34 inference(modus_ponens,[status(thm)],[21, 20])).
% 0.14/0.34 tff(23,plain,
% 0.14/0.34 (![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))))))),
% 0.14/0.34 inference(modus_ponens,[status(thm)],[22, 18])).
% 0.14/0.34 tff(24,plain,(
% 0.14/0.34 ![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))))))),
% 0.14/0.34 inference(skolemize,[status(sab)],[23])).
% 0.14/0.34 tff(25,plain,
% 0.14/0.34 (![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))))))))))),
% 0.14/0.34 inference(modus_ponens,[status(thm)],[24, 17])).
% 0.14/0.34 tff(26,plain,
% 0.14/0.34 (![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))))))))))),
% 0.14/0.34 inference(modus_ponens,[status(thm)],[25, 15])).
% 0.14/0.34 tff(27,plain,
% 0.14/0.34 (((~![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))))))))))),
% 0.14/0.34 inference(rewrite,[status(thm)],[])).
% 0.14/0.34 tff(28,plain,
% 0.14/0.34 (((~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))))))))))),
% 0.14/0.35 inference(rewrite,[status(thm)],[])).
% 0.14/0.35 tff(29,plain,
% 0.14/0.35 (((~![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)))))))))))),
% 0.14/0.35 inference(monotonicity,[status(thm)],[28])).
% 0.14/0.35 tff(30,plain,
% 0.14/0.35 (((~![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))))))))))),
% 0.14/0.35 inference(transitivity,[status(thm)],[29, 27])).
% 0.14/0.35 tff(31,plain,
% 0.14/0.35 ((~![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))))))))))),
% 0.14/0.35 inference(quant_inst,[status(thm)],[])).
% 0.14/0.35 tff(32,plain,
% 0.14/0.35 ((~![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)))))))))),
% 0.14/0.35 inference(modus_ponens,[status(thm)],[31, 30])).
% 0.14/0.35 tff(33,plain,
% 0.14/0.35 (~((~((~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))))))))),
% 0.14/0.35 inference(unit_resolution,[status(thm)],[32, 26, 13])).
% 0.14/0.35 tff(34,plain,
% 0.14/0.35 (((~((~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))),
% 0.14/0.35 inference(tautology,[status(thm)],[])).
% 0.14/0.35 tff(35,plain,
% 0.14/0.35 ((~has_immunity(X!2, T0!1)) | (hazard_of_mortality(X!2, T0!1) = very_low)),
% 0.14/0.35 inference(unit_resolution,[status(thm)],[34, 33])).
% 0.14/0.35 tff(36,plain,
% 0.14/0.35 (has_immunity(X!2, T0!1)),
% 0.14/0.35 inference(and_elim,[status(thm)],[12])).
% 0.14/0.35 tff(37,plain,
% 0.14/0.35 ((~((~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)),
% 0.14/0.35 inference(tautology,[status(thm)],[])).
% 0.14/0.35 tff(38,plain,
% 0.14/0.35 ((~((~has_immunity(X!2, T0!1)) | (hazard_of_mortality(X!2, T0!1) = very_low))) | (hazard_of_mortality(X!2, T0!1) = very_low)),
% 0.14/0.35 inference(unit_resolution,[status(thm)],[37, 36])).
% 0.14/0.35 tff(39,plain,
% 0.14/0.35 (hazard_of_mortality(X!2, T0!1) = very_low),
% 0.14/0.35 inference(unit_resolution,[status(thm)],[38, 35])).
% 0.14/0.35 tff(40,assumption,(hazard_of_mortality(X!2, T!0) = low), introduced(assumption)).
% 0.14/0.35 tff(41,plain,
% 0.14/0.35 (greater(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1)) <=> greater(low, very_low)),
% 0.14/0.35 inference(monotonicity,[status(thm)],[40, 39])).
% 0.14/0.35 tff(42,plain,
% 0.14/0.35 (greater(low, very_low) <=> greater(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1))),
% 0.14/0.35 inference(symmetry,[status(thm)],[41])).
% 0.14/0.35 tff(43,plain,
% 0.14/0.35 (greater(low, very_low) <=> greater(low, very_low)),
% 0.14/0.35 inference(rewrite,[status(thm)],[])).
% 0.14/0.35 tff(44,axiom,(greater(low, very_low)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','assumption_18c')).
% 0.14/0.35 tff(45,plain,
% 0.14/0.35 (greater(low, very_low)),
% 0.14/0.35 inference(modus_ponens,[status(thm)],[44, 43])).
% 0.14/0.35 tff(46,plain,
% 0.14/0.35 (greater(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1))),
% 0.14/0.35 inference(modus_ponens,[status(thm)],[45, 42])).
% 0.14/0.35 tff(47,plain,
% 0.14/0.35 (~greater(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1))),
% 0.14/0.35 inference(or_elim,[status(thm)],[11])).
% 0.14/0.35 tff(48,plain,
% 0.14/0.35 ($false),
% 0.14/0.35 inference(unit_resolution,[status(thm)],[47, 46])).
% 0.14/0.35 tff(49,plain,(~(hazard_of_mortality(X!2, T!0) = low)), inference(lemma,lemma(discharge,[]))).
% 0.14/0.35 tff(50,assumption,(is_aligned(X!2, T!0)), introduced(assumption)).
% 0.14/0.35 tff(51,assumption,(hazard_of_mortality(X!2, T!0) = mod2), introduced(assumption)).
% 0.14/0.35 tff(52,plain,
% 0.14/0.35 (greater(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1)) <=> greater(mod2, very_low)),
% 0.14/0.35 inference(monotonicity,[status(thm)],[51, 39])).
% 0.14/0.35 tff(53,plain,
% 0.14/0.35 (greater(mod2, very_low) <=> greater(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1))),
% 0.14/0.35 inference(symmetry,[status(thm)],[52])).
% 0.14/0.35 tff(54,plain,
% 0.14/0.35 (greater(mod2, low) <=> greater(mod2, low)),
% 0.14/0.35 inference(rewrite,[status(thm)],[])).
% 0.14/0.35 tff(55,axiom,(greater(mod2, low)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','assumption_18e')).
% 0.14/0.35 tff(56,plain,
% 0.14/0.35 (greater(mod2, low)),
% 0.14/0.35 inference(modus_ponens,[status(thm)],[55, 54])).
% 0.14/0.35 tff(57,plain,
% 0.14/0.35 (![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)))),
% 0.14/0.35 inference(rewrite,[status(thm)],[])).
% 0.14/0.35 tff(58,plain,
% 0.14/0.35 (^[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)))))),
% 0.14/0.36 inference(bind,[status(th)],[])).
% 0.14/0.36 tff(59,plain,
% 0.14/0.36 (![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)))),
% 0.14/0.36 inference(quant_intro,[status(thm)],[58])).
% 0.14/0.36 tff(60,plain,
% 0.14/0.36 (![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))),
% 0.14/0.36 inference(rewrite,[status(thm)],[])).
% 0.14/0.36 tff(61,plain,
% 0.14/0.36 (^[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)))),
% 0.14/0.36 inference(bind,[status(th)],[])).
% 0.14/0.36 tff(62,plain,
% 0.14/0.36 (![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))),
% 0.14/0.36 inference(quant_intro,[status(thm)],[61])).
% 0.14/0.36 tff(63,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')).
% 0.14/0.36 tff(64,plain,
% 0.14/0.36 (![X: $i, Y: $i, Z: $i] : ((~(greater(X, Y) & greater(Y, Z))) | greater(X, Z))),
% 0.14/0.36 inference(modus_ponens,[status(thm)],[63, 62])).
% 0.14/0.36 tff(65,plain,
% 0.14/0.36 (![X: $i, Y: $i, Z: $i] : ((~(greater(X, Y) & greater(Y, Z))) | greater(X, Z))),
% 0.14/0.36 inference(modus_ponens,[status(thm)],[64, 60])).
% 0.14/0.36 tff(66,plain,(
% 0.14/0.36 ![X: $i, Y: $i, Z: $i] : ((~(greater(X, Y) & greater(Y, Z))) | greater(X, Z))),
% 0.14/0.36 inference(skolemize,[status(sab)],[65])).
% 0.14/0.36 tff(67,plain,
% 0.14/0.36 (![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))),
% 0.14/0.36 inference(modus_ponens,[status(thm)],[66, 59])).
% 0.14/0.36 tff(68,plain,
% 0.14/0.36 (![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))),
% 0.14/0.36 inference(modus_ponens,[status(thm)],[67, 57])).
% 0.14/0.36 tff(69,plain,
% 0.14/0.36 (((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | ((~greater(low, very_low)) | greater(mod2, very_low) | (~greater(mod2, low)))) <=> ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (~greater(low, very_low)) | greater(mod2, very_low) | (~greater(mod2, low)))),
% 0.14/0.36 inference(rewrite,[status(thm)],[])).
% 0.14/0.36 tff(70,plain,
% 0.14/0.36 ((greater(mod2, very_low) | (~greater(low, very_low)) | (~greater(mod2, low))) <=> ((~greater(low, very_low)) | greater(mod2, very_low) | (~greater(mod2, low)))),
% 0.14/0.36 inference(rewrite,[status(thm)],[])).
% 0.14/0.36 tff(71,plain,
% 0.14/0.36 (((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (greater(mod2, very_low) | (~greater(low, very_low)) | (~greater(mod2, low)))) <=> ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | ((~greater(low, very_low)) | greater(mod2, very_low) | (~greater(mod2, low))))),
% 0.14/0.36 inference(monotonicity,[status(thm)],[70])).
% 0.14/0.36 tff(72,plain,
% 0.14/0.36 (((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (greater(mod2, very_low) | (~greater(low, very_low)) | (~greater(mod2, low)))) <=> ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (~greater(low, very_low)) | greater(mod2, very_low) | (~greater(mod2, low)))),
% 0.14/0.36 inference(transitivity,[status(thm)],[71, 69])).
% 0.14/0.36 tff(73,plain,
% 0.14/0.36 ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (greater(mod2, very_low) | (~greater(low, very_low)) | (~greater(mod2, low)))),
% 0.14/0.36 inference(quant_inst,[status(thm)],[])).
% 0.14/0.36 tff(74,plain,
% 0.14/0.36 ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (~greater(low, very_low)) | greater(mod2, very_low) | (~greater(mod2, low))),
% 0.14/0.36 inference(modus_ponens,[status(thm)],[73, 72])).
% 0.14/0.36 tff(75,plain,
% 0.14/0.36 (greater(mod2, very_low)),
% 0.14/0.36 inference(unit_resolution,[status(thm)],[74, 68, 45, 56])).
% 0.14/0.36 tff(76,plain,
% 0.14/0.36 (greater(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1))),
% 0.14/0.36 inference(modus_ponens,[status(thm)],[75, 53])).
% 0.14/0.36 tff(77,plain,
% 0.14/0.36 ($false),
% 0.14/0.36 inference(unit_resolution,[status(thm)],[47, 76])).
% 0.14/0.36 tff(78,plain,(~(hazard_of_mortality(X!2, T!0) = mod2)), inference(lemma,lemma(discharge,[]))).
% 0.14/0.36 tff(79,plain,
% 0.14/0.36 (((~![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))))))))))),
% 0.14/0.36 inference(rewrite,[status(thm)],[])).
% 0.14/0.36 tff(80,plain,
% 0.14/0.36 (((~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))))))))))),
% 0.14/0.36 inference(rewrite,[status(thm)],[])).
% 0.14/0.36 tff(81,plain,
% 0.14/0.36 (((~![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)))))))))))),
% 0.14/0.36 inference(monotonicity,[status(thm)],[80])).
% 0.14/0.36 tff(82,plain,
% 0.14/0.36 (((~![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))))))))))),
% 0.14/0.37 inference(transitivity,[status(thm)],[81, 79])).
% 0.14/0.37 tff(83,plain,
% 0.14/0.37 ((~![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))))))))))),
% 0.14/0.37 inference(quant_inst,[status(thm)],[])).
% 0.14/0.37 tff(84,plain,
% 0.14/0.37 ((~![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)))))))))),
% 0.14/0.37 inference(modus_ponens,[status(thm)],[83, 82])).
% 0.14/0.37 tff(85,plain,
% 0.14/0.37 (~((~((~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))))))))),
% 0.14/0.37 inference(unit_resolution,[status(thm)],[84, 26, 13])).
% 0.14/0.37 tff(86,plain,
% 0.14/0.37 (((~((~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) | (~((~((~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))))))),
% 0.14/0.37 inference(tautology,[status(thm)],[])).
% 0.14/0.37 tff(87,plain,
% 0.14/0.37 (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)))))),
% 0.14/0.37 inference(unit_resolution,[status(thm)],[86, 85])).
% 0.14/0.37 tff(88,plain,
% 0.14/0.37 (~has_immunity(X!2, T!0)),
% 0.14/0.37 inference(and_elim,[status(thm)],[12])).
% 0.14/0.37 tff(89,plain,
% 0.14/0.37 ((~(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) | (~((~((~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)))))),
% 0.14/0.37 inference(tautology,[status(thm)],[])).
% 0.14/0.37 tff(90,plain,
% 0.14/0.37 ((~(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))))))) | (~((~((~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)))))),
% 0.14/0.37 inference(unit_resolution,[status(thm)],[89, 88])).
% 0.14/0.37 tff(91,plain,
% 0.14/0.37 (~((~((~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))))),
% 0.14/0.37 inference(unit_resolution,[status(thm)],[90, 87])).
% 0.14/0.37 tff(92,plain,
% 0.14/0.37 (((~((~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)))) | (positional_advantage(X!2, T!0) | (~is_aligned(X!2, T!0)) | (hazard_of_mortality(X!2, T!0) = mod2))),
% 0.14/0.37 inference(tautology,[status(thm)],[])).
% 0.14/0.37 tff(93,plain,
% 0.14/0.37 (positional_advantage(X!2, T!0) | (~is_aligned(X!2, T!0)) | (hazard_of_mortality(X!2, T!0) = mod2)),
% 0.14/0.37 inference(unit_resolution,[status(thm)],[92, 91])).
% 0.14/0.37 tff(94,plain,
% 0.14/0.37 ((~(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) = mod2)),
% 0.14/0.37 inference(tautology,[status(thm)],[])).
% 0.14/0.37 tff(95,plain,
% 0.14/0.37 (positional_advantage(X!2, T!0) | (~is_aligned(X!2, T!0)) | (hazard_of_mortality(X!2, T!0) = mod2)),
% 0.14/0.37 inference(unit_resolution,[status(thm)],[94, 93])).
% 0.14/0.37 tff(96,plain,
% 0.14/0.37 (positional_advantage(X!2, T!0)),
% 0.14/0.37 inference(unit_resolution,[status(thm)],[95, 50, 78])).
% 0.14/0.37 tff(97,plain,
% 0.14/0.37 (((~((~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)))) | ((~positional_advantage(X!2, T!0)) | (~is_aligned(X!2, T!0)) | (hazard_of_mortality(X!2, T!0) = low))),
% 0.14/0.37 inference(tautology,[status(thm)],[])).
% 0.14/0.37 tff(98,plain,
% 0.14/0.37 ((~positional_advantage(X!2, T!0)) | (~is_aligned(X!2, T!0)) | (hazard_of_mortality(X!2, T!0) = low)),
% 0.14/0.37 inference(unit_resolution,[status(thm)],[97, 91])).
% 0.14/0.37 tff(99,plain,
% 0.14/0.37 ((~((~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) = low)),
% 0.14/0.37 inference(tautology,[status(thm)],[])).
% 0.14/0.37 tff(100,plain,
% 0.14/0.37 ((~positional_advantage(X!2, T!0)) | (~is_aligned(X!2, T!0)) | (hazard_of_mortality(X!2, T!0) = low)),
% 0.14/0.37 inference(unit_resolution,[status(thm)],[99, 98])).
% 0.14/0.37 tff(101,plain,
% 0.14/0.37 ($false),
% 0.14/0.37 inference(unit_resolution,[status(thm)],[100, 96, 50, 49])).
% 0.14/0.37 tff(102,plain,(~is_aligned(X!2, T!0)), inference(lemma,lemma(discharge,[]))).
% 0.14/0.37 tff(103,assumption,(hazard_of_mortality(X!2, T!0) = mod1), introduced(assumption)).
% 0.14/0.37 tff(104,plain,
% 0.14/0.37 (greater(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1)) <=> greater(mod1, very_low)),
% 0.14/0.37 inference(monotonicity,[status(thm)],[103, 39])).
% 0.14/0.37 tff(105,plain,
% 0.14/0.37 (greater(mod1, very_low) <=> greater(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1))),
% 0.14/0.37 inference(symmetry,[status(thm)],[104])).
% 0.14/0.37 tff(106,plain,
% 0.14/0.37 (greater(mod1, low) <=> greater(mod1, low)),
% 0.14/0.37 inference(rewrite,[status(thm)],[])).
% 0.14/0.37 tff(107,axiom,(greater(mod1, low)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','assumption_18b')).
% 0.14/0.37 tff(108,plain,
% 0.14/0.37 (greater(mod1, low)),
% 0.14/0.37 inference(modus_ponens,[status(thm)],[107, 106])).
% 0.14/0.37 tff(109,plain,
% 0.14/0.37 (((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | ((~greater(mod1, low)) | greater(mod1, very_low) | (~greater(low, very_low)))) <=> ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (~greater(mod1, low)) | greater(mod1, very_low) | (~greater(low, very_low)))),
% 0.14/0.37 inference(rewrite,[status(thm)],[])).
% 0.14/0.37 tff(110,plain,
% 0.14/0.37 ((greater(mod1, very_low) | (~greater(low, very_low)) | (~greater(mod1, low))) <=> ((~greater(mod1, low)) | greater(mod1, very_low) | (~greater(low, very_low)))),
% 0.14/0.37 inference(rewrite,[status(thm)],[])).
% 0.14/0.37 tff(111,plain,
% 0.14/0.37 (((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (greater(mod1, very_low) | (~greater(low, very_low)) | (~greater(mod1, low)))) <=> ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | ((~greater(mod1, low)) | greater(mod1, very_low) | (~greater(low, very_low))))),
% 0.14/0.37 inference(monotonicity,[status(thm)],[110])).
% 0.14/0.37 tff(112,plain,
% 0.14/0.37 (((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (greater(mod1, very_low) | (~greater(low, very_low)) | (~greater(mod1, low)))) <=> ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (~greater(mod1, low)) | greater(mod1, very_low) | (~greater(low, very_low)))),
% 0.14/0.38 inference(transitivity,[status(thm)],[111, 109])).
% 0.14/0.38 tff(113,plain,
% 0.14/0.38 ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (greater(mod1, very_low) | (~greater(low, very_low)) | (~greater(mod1, low)))),
% 0.14/0.38 inference(quant_inst,[status(thm)],[])).
% 0.14/0.38 tff(114,plain,
% 0.14/0.38 ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (~greater(mod1, low)) | greater(mod1, very_low) | (~greater(low, very_low))),
% 0.14/0.38 inference(modus_ponens,[status(thm)],[113, 112])).
% 0.14/0.38 tff(115,plain,
% 0.14/0.38 (greater(mod1, very_low)),
% 0.14/0.38 inference(unit_resolution,[status(thm)],[114, 68, 108, 45])).
% 0.14/0.38 tff(116,plain,
% 0.14/0.38 (greater(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1))),
% 0.14/0.38 inference(modus_ponens,[status(thm)],[115, 105])).
% 0.14/0.38 tff(117,plain,
% 0.14/0.38 ($false),
% 0.14/0.38 inference(unit_resolution,[status(thm)],[47, 116])).
% 0.14/0.38 tff(118,plain,(~(hazard_of_mortality(X!2, T!0) = mod1)), inference(lemma,lemma(discharge,[]))).
% 0.14/0.38 tff(119,assumption,(~is_aligned(X!2, T!0)), introduced(assumption)).
% 0.14/0.38 tff(120,assumption,(~(hazard_of_mortality(X!2, T!0) = high)), introduced(assumption)).
% 0.14/0.38 tff(121,plain,
% 0.14/0.38 (((~((~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)))) | (positional_advantage(X!2, T!0) | is_aligned(X!2, T!0) | (hazard_of_mortality(X!2, T!0) = high))),
% 0.14/0.38 inference(tautology,[status(thm)],[])).
% 0.14/0.38 tff(122,plain,
% 0.14/0.38 (positional_advantage(X!2, T!0) | is_aligned(X!2, T!0) | (hazard_of_mortality(X!2, T!0) = high)),
% 0.14/0.38 inference(unit_resolution,[status(thm)],[121, 91])).
% 0.14/0.38 tff(123,plain,
% 0.14/0.38 ((~(positional_advantage(X!2, T!0) | is_aligned(X!2, T!0) | (hazard_of_mortality(X!2, T!0) = high))) | positional_advantage(X!2, T!0) | is_aligned(X!2, T!0) | (hazard_of_mortality(X!2, T!0) = high)),
% 0.14/0.38 inference(tautology,[status(thm)],[])).
% 0.14/0.38 tff(124,plain,
% 0.14/0.38 (positional_advantage(X!2, T!0) | is_aligned(X!2, T!0) | (hazard_of_mortality(X!2, T!0) = high)),
% 0.14/0.38 inference(unit_resolution,[status(thm)],[123, 122])).
% 0.14/0.38 tff(125,plain,
% 0.14/0.38 (positional_advantage(X!2, T!0)),
% 0.14/0.38 inference(unit_resolution,[status(thm)],[124, 119, 120])).
% 0.14/0.38 tff(126,plain,
% 0.14/0.38 (((~((~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)))) | ((~positional_advantage(X!2, T!0)) | is_aligned(X!2, T!0) | (hazard_of_mortality(X!2, T!0) = mod1))),
% 0.14/0.38 inference(tautology,[status(thm)],[])).
% 0.14/0.38 tff(127,plain,
% 0.14/0.38 ((~positional_advantage(X!2, T!0)) | is_aligned(X!2, T!0) | (hazard_of_mortality(X!2, T!0) = mod1)),
% 0.14/0.38 inference(unit_resolution,[status(thm)],[126, 91])).
% 0.14/0.38 tff(128,plain,
% 0.14/0.38 ((~((~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) = mod1)),
% 0.14/0.38 inference(tautology,[status(thm)],[])).
% 0.14/0.38 tff(129,plain,
% 0.14/0.38 ((~positional_advantage(X!2, T!0)) | is_aligned(X!2, T!0) | (hazard_of_mortality(X!2, T!0) = mod1)),
% 0.14/0.38 inference(unit_resolution,[status(thm)],[128, 127])).
% 0.14/0.38 tff(130,plain,
% 0.14/0.38 ($false),
% 0.14/0.38 inference(unit_resolution,[status(thm)],[129, 125, 119, 118])).
% 0.14/0.38 tff(131,plain,(is_aligned(X!2, T!0) | (hazard_of_mortality(X!2, T!0) = high)), inference(lemma,lemma(discharge,[]))).
% 0.14/0.38 tff(132,plain,
% 0.14/0.38 (hazard_of_mortality(X!2, T!0) = high),
% 0.14/0.38 inference(unit_resolution,[status(thm)],[131, 102])).
% 0.14/0.38 tff(133,plain,
% 0.14/0.38 (greater(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1)) <=> greater(high, very_low)),
% 0.14/0.38 inference(monotonicity,[status(thm)],[132, 39])).
% 0.14/0.38 tff(134,plain,
% 0.14/0.38 (greater(high, very_low) <=> greater(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1))),
% 0.14/0.38 inference(symmetry,[status(thm)],[133])).
% 0.14/0.38 tff(135,plain,
% 0.14/0.38 (greater(high, mod1) <=> greater(high, mod1)),
% 0.14/0.38 inference(rewrite,[status(thm)],[])).
% 0.14/0.38 tff(136,axiom,(greater(high, mod1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','assumption_18a')).
% 0.14/0.38 tff(137,plain,
% 0.14/0.38 (greater(high, mod1)),
% 0.14/0.38 inference(modus_ponens,[status(thm)],[136, 135])).
% 0.14/0.38 tff(138,plain,
% 0.14/0.38 (((~![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)))),
% 0.14/0.38 inference(rewrite,[status(thm)],[])).
% 0.14/0.38 tff(139,plain,
% 0.14/0.38 ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (greater(high, low) | (~greater(mod1, low)) | (~greater(high, mod1)))),
% 0.14/0.38 inference(quant_inst,[status(thm)],[])).
% 0.14/0.38 tff(140,plain,
% 0.14/0.38 ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | greater(high, low) | (~greater(mod1, low)) | (~greater(high, mod1))),
% 0.14/0.38 inference(modus_ponens,[status(thm)],[139, 138])).
% 0.14/0.38 tff(141,plain,
% 0.14/0.38 (greater(high, low)),
% 0.14/0.38 inference(unit_resolution,[status(thm)],[140, 68, 137, 108])).
% 0.14/0.38 tff(142,plain,
% 0.14/0.38 (((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | ((~greater(low, very_low)) | greater(high, very_low) | (~greater(high, low)))) <=> ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (~greater(low, very_low)) | greater(high, very_low) | (~greater(high, low)))),
% 0.14/0.38 inference(rewrite,[status(thm)],[])).
% 0.14/0.38 tff(143,plain,
% 0.14/0.38 ((greater(high, very_low) | (~greater(low, very_low)) | (~greater(high, low))) <=> ((~greater(low, very_low)) | greater(high, very_low) | (~greater(high, low)))),
% 0.14/0.38 inference(rewrite,[status(thm)],[])).
% 0.14/0.38 tff(144,plain,
% 0.14/0.38 (((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (greater(high, very_low) | (~greater(low, very_low)) | (~greater(high, low)))) <=> ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | ((~greater(low, very_low)) | greater(high, very_low) | (~greater(high, low))))),
% 0.14/0.38 inference(monotonicity,[status(thm)],[143])).
% 0.14/0.38 tff(145,plain,
% 0.14/0.38 (((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (greater(high, very_low) | (~greater(low, very_low)) | (~greater(high, low)))) <=> ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (~greater(low, very_low)) | greater(high, very_low) | (~greater(high, low)))),
% 0.14/0.38 inference(transitivity,[status(thm)],[144, 142])).
% 0.14/0.38 tff(146,plain,
% 0.14/0.38 ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (greater(high, very_low) | (~greater(low, very_low)) | (~greater(high, low)))),
% 0.14/0.38 inference(quant_inst,[status(thm)],[])).
% 0.14/0.38 tff(147,plain,
% 0.14/0.38 ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (~greater(low, very_low)) | greater(high, very_low) | (~greater(high, low))),
% 0.14/0.38 inference(modus_ponens,[status(thm)],[146, 145])).
% 0.14/0.38 tff(148,plain,
% 0.14/0.38 (greater(high, very_low)),
% 0.14/0.38 inference(unit_resolution,[status(thm)],[147, 68, 45, 141])).
% 0.14/0.38 tff(149,plain,
% 0.14/0.38 (greater(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1))),
% 0.14/0.38 inference(modus_ponens,[status(thm)],[148, 134])).
% 0.14/0.38 tff(150,plain,
% 0.14/0.38 ($false),
% 0.14/0.38 inference(unit_resolution,[status(thm)],[47, 149])).
% 0.14/0.38 % SZS output end Proof
%------------------------------------------------------------------------------