TSTP Solution File: MGT047+1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : MGT047+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n011.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 05:22:12 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
% 0.05/0.09 % Problem : MGT047+1 : TPTP v8.1.0. Released v2.4.0.
% 0.05/0.10 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.09/0.29 % Computer : n011.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 02:51:12 EDT 2022
% 0.09/0.29 % CPUTime :
% 0.09/0.29 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.09/0.29 Usage: tptp [options] [-file:]file
% 0.09/0.29 -h, -? prints this message.
% 0.09/0.29 -smt2 print SMT-LIB2 benchmark.
% 0.09/0.29 -m, -model generate model.
% 0.09/0.29 -p, -proof generate proof.
% 0.09/0.29 -c, -core generate unsat core of named formulas.
% 0.09/0.29 -st, -statistics display statistics.
% 0.09/0.29 -t:timeout set timeout (in second).
% 0.09/0.29 -smt2status display status in smt2 format instead of SZS.
% 0.09/0.29 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.09/0.29 -<param>:<value> configuration parameter and value.
% 0.09/0.29 -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(has_immunity_type, type, (
% 0.14/0.34 has_immunity: ( $i * $i ) > $o)).
% 0.14/0.34 tff(tptp_fun_T1_3_type, type, (
% 0.14/0.34 tptp_fun_T1_3: $i)).
% 0.14/0.34 tff(tptp_fun_X_5_type, type, (
% 0.14/0.34 tptp_fun_X_5: $i)).
% 0.14/0.34 tff(smaller_or_equal_type, type, (
% 0.14/0.34 smaller_or_equal: ( $i * $i ) > $o)).
% 0.14/0.34 tff(eta_type, type, (
% 0.14/0.34 eta: $i)).
% 0.14/0.34 tff(age_type, type, (
% 0.14/0.34 age: ( $i * $i ) > $i)).
% 0.14/0.34 tff(greater_type, type, (
% 0.14/0.34 greater: ( $i * $i ) > $o)).
% 0.14/0.34 tff(organization_type, type, (
% 0.14/0.34 organization: $i > $o)).
% 0.14/0.34 tff(has_endowment_type, type, (
% 0.14/0.34 has_endowment: $i > $o)).
% 0.14/0.34 tff(tptp_fun_T_0_type, type, (
% 0.14/0.34 tptp_fun_T_0: $i > $i)).
% 0.14/0.34 tff(tptp_fun_T2_2_type, type, (
% 0.14/0.34 tptp_fun_T2_2: $i)).
% 0.14/0.34 tff(tptp_fun_T3_1_type, type, (
% 0.14/0.34 tptp_fun_T3_1: $i)).
% 0.14/0.34 tff(tptp_fun_T0_4_type, type, (
% 0.14/0.34 tptp_fun_T0_4: $i)).
% 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(smaller_type, type, (
% 0.14/0.34 smaller: ( $i * $i ) > $o)).
% 0.14/0.34 tff(capability_type, type, (
% 0.14/0.34 capability: ( $i * $i ) > $i)).
% 0.14/0.34 tff(internal_friction_type, type, (
% 0.14/0.34 internal_friction: ( $i * $i ) > $i)).
% 0.14/0.34 tff(stock_of_knowledge_type, type, (
% 0.14/0.34 stock_of_knowledge: ( $i * $i ) > $i)).
% 0.14/0.34 tff(greater_or_equal_type, type, (
% 0.14/0.34 greater_or_equal: ( $i * $i ) > $o)).
% 0.14/0.34 tff(position_type, type, (
% 0.14/0.34 position: ( $i * $i ) > $i)).
% 0.14/0.34 tff(external_ties_type, type, (
% 0.14/0.34 external_ties: ( $i * $i ) > $i)).
% 0.14/0.34 tff(1,plain,
% 0.14/0.34 (^[X: $i] : rewrite((~((~((~has_endowment(X)) | ![T: $i] : (~((~organization(X)) | (~((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T))) | (~((~has_immunity(X, T)) | (~greater(age(X, T), eta)))))))) | (~(has_endowment(X) | (~organization(X)) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X)))) | (~((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta)))))))) <=> (~((~(has_endowment(X) | (~organization(X)) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X)))) | (~((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta)))))) | (~((~has_endowment(X)) | ![T: $i] : (~((~organization(X)) | (~((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T))) | (~((~has_immunity(X, T)) | (~greater(age(X, T), eta)))))))))))),
% 0.14/0.34 inference(bind,[status(th)],[])).
% 0.14/0.34 tff(2,plain,
% 0.14/0.34 (![X: $i] : (~((~((~has_endowment(X)) | ![T: $i] : (~((~organization(X)) | (~((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T))) | (~((~has_immunity(X, T)) | (~greater(age(X, T), eta)))))))) | (~(has_endowment(X) | (~organization(X)) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X)))) | (~((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta)))))))) <=> ![X: $i] : (~((~(has_endowment(X) | (~organization(X)) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X)))) | (~((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta)))))) | (~((~has_endowment(X)) | ![T: $i] : (~((~organization(X)) | (~((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T))) | (~((~has_immunity(X, T)) | (~greater(age(X, T), eta))))))))))),
% 0.14/0.34 inference(quant_intro,[status(thm)],[1])).
% 0.14/0.34 tff(3,plain,
% 0.14/0.34 (^[X: $i] : refl((~((~((~has_endowment(X)) | ![T: $i] : (~((~organization(X)) | (~((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T))) | (~((~has_immunity(X, T)) | (~greater(age(X, T), eta)))))))) | (~(has_endowment(X) | (~organization(X)) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X)))) | (~((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta)))))))) <=> (~((~((~has_endowment(X)) | ![T: $i] : (~((~organization(X)) | (~((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T))) | (~((~has_immunity(X, T)) | (~greater(age(X, T), eta)))))))) | (~(has_endowment(X) | (~organization(X)) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X)))) | (~((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta)))))))))),
% 0.14/0.34 inference(bind,[status(th)],[])).
% 0.14/0.34 tff(4,plain,
% 0.14/0.34 (![X: $i] : (~((~((~has_endowment(X)) | ![T: $i] : (~((~organization(X)) | (~((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T))) | (~((~has_immunity(X, T)) | (~greater(age(X, T), eta)))))))) | (~(has_endowment(X) | (~organization(X)) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X)))) | (~((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta)))))))) <=> ![X: $i] : (~((~((~has_endowment(X)) | ![T: $i] : (~((~organization(X)) | (~((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T))) | (~((~has_immunity(X, T)) | (~greater(age(X, T), eta)))))))) | (~(has_endowment(X) | (~organization(X)) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X)))) | (~((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta))))))))),
% 0.14/0.34 inference(quant_intro,[status(thm)],[3])).
% 0.14/0.34 tff(5,plain,
% 0.14/0.34 (^[X: $i] : rewrite((~((~((~has_endowment(X)) | ![T: $i] : (~((~organization(X)) | (~((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T))) | (~((~has_immunity(X, T)) | (~greater(age(X, T), eta)))))))) | (~(has_endowment(X) | (~organization(X)) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X)))) | (~((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta)))))))) <=> (~((~((~has_endowment(X)) | ![T: $i] : (~((~organization(X)) | (~((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T))) | (~((~has_immunity(X, T)) | (~greater(age(X, T), eta)))))))) | (~(has_endowment(X) | (~organization(X)) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X)))) | (~((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta)))))))))),
% 0.14/0.34 inference(bind,[status(th)],[])).
% 0.14/0.34 tff(6,plain,
% 0.14/0.34 (![X: $i] : (~((~((~has_endowment(X)) | ![T: $i] : (~((~organization(X)) | (~((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T))) | (~((~has_immunity(X, T)) | (~greater(age(X, T), eta)))))))) | (~(has_endowment(X) | (~organization(X)) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X)))) | (~((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta)))))))) <=> ![X: $i] : (~((~((~has_endowment(X)) | ![T: $i] : (~((~organization(X)) | (~((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T))) | (~((~has_immunity(X, T)) | (~greater(age(X, T), eta)))))))) | (~(has_endowment(X) | (~organization(X)) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X)))) | (~((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta))))))))),
% 0.14/0.34 inference(quant_intro,[status(thm)],[5])).
% 0.14/0.34 tff(7,plain,
% 0.14/0.34 (![X: $i] : (~((~((~has_endowment(X)) | ![T: $i] : (~((~organization(X)) | (~((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T))) | (~((~has_immunity(X, T)) | (~greater(age(X, T), eta)))))))) | (~(has_endowment(X) | (~organization(X)) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X)))) | (~((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta)))))))) <=> ![X: $i] : (~((~((~has_endowment(X)) | ![T: $i] : (~((~organization(X)) | (~((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T))) | (~((~has_immunity(X, T)) | (~greater(age(X, T), eta)))))))) | (~(has_endowment(X) | (~organization(X)) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X)))) | (~((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta))))))))),
% 0.14/0.34 inference(transitivity,[status(thm)],[6, 4])).
% 0.14/0.34 tff(8,plain,
% 0.14/0.34 (^[X: $i] : trans(monotonicity(rewrite(((~has_endowment(X)) | ![T: $i] : (organization(X) & ((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T)) & ((~has_immunity(X, T)) | (~greater(age(X, T), eta))))) <=> ((~has_endowment(X)) | ![T: $i] : (~((~organization(X)) | (~((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T))) | (~((~has_immunity(X, T)) | (~greater(age(X, T), eta)))))))), trans(monotonicity(trans(monotonicity(rewrite((organization(X) & ((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X))) & ((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta)))) <=> (~((~organization(X)) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X)))) | (~((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta))))))), ((~(organization(X) & ((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X))) & ((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta))))) <=> (~(~((~organization(X)) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X)))) | (~((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta))))))))), rewrite((~(~((~organization(X)) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X)))) | (~((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta))))))) <=> ((~organization(X)) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X)))) | (~((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta)))))), ((~(organization(X) & ((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X))) & ((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta))))) <=> ((~organization(X)) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X)))) | (~((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta))))))), ((has_endowment(X) | (~(organization(X) & ((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X))) & ((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta)))))) <=> (has_endowment(X) | ((~organization(X)) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X)))) | (~((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta)))))))), rewrite((has_endowment(X) | ((~organization(X)) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X)))) | (~((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta)))))) <=> (has_endowment(X) | (~organization(X)) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X)))) | (~((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta)))))), ((has_endowment(X) | (~(organization(X) & ((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X))) & ((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta)))))) <=> (has_endowment(X) | (~organization(X)) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X)))) | (~((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta))))))), ((((~has_endowment(X)) | ![T: $i] : (organization(X) & ((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T)) & ((~has_immunity(X, T)) | (~greater(age(X, T), eta))))) & (has_endowment(X) | (~(organization(X) & ((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X))) & ((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta))))))) <=> (((~has_endowment(X)) | ![T: $i] : (~((~organization(X)) | (~((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T))) | (~((~has_immunity(X, T)) | (~greater(age(X, T), eta))))))) & (has_endowment(X) | (~organization(X)) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X)))) | (~((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta)))))))), rewrite((((~has_endowment(X)) | ![T: $i] : (~((~organization(X)) | (~((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T))) | (~((~has_immunity(X, T)) | (~greater(age(X, T), eta))))))) & (has_endowment(X) | (~organization(X)) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X)))) | (~((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta)))))) <=> (~((~((~has_endowment(X)) | ![T: $i] : (~((~organization(X)) | (~((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T))) | (~((~has_immunity(X, T)) | (~greater(age(X, T), eta)))))))) | (~(has_endowment(X) | (~organization(X)) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X)))) | (~((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta))))))))), ((((~has_endowment(X)) | ![T: $i] : (organization(X) & ((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T)) & ((~has_immunity(X, T)) | (~greater(age(X, T), eta))))) & (has_endowment(X) | (~(organization(X) & ((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X))) & ((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta))))))) <=> (~((~((~has_endowment(X)) | ![T: $i] : (~((~organization(X)) | (~((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T))) | (~((~has_immunity(X, T)) | (~greater(age(X, T), eta)))))))) | (~(has_endowment(X) | (~organization(X)) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X)))) | (~((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta))))))))))),
% 0.14/0.34 inference(bind,[status(th)],[])).
% 0.14/0.34 tff(9,plain,
% 0.14/0.34 (![X: $i] : (((~has_endowment(X)) | ![T: $i] : (organization(X) & ((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T)) & ((~has_immunity(X, T)) | (~greater(age(X, T), eta))))) & (has_endowment(X) | (~(organization(X) & ((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X))) & ((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta))))))) <=> ![X: $i] : (~((~((~has_endowment(X)) | ![T: $i] : (~((~organization(X)) | (~((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T))) | (~((~has_immunity(X, T)) | (~greater(age(X, T), eta)))))))) | (~(has_endowment(X) | (~organization(X)) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X)))) | (~((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta))))))))),
% 0.14/0.34 inference(quant_intro,[status(thm)],[8])).
% 0.14/0.34 tff(10,plain,
% 0.14/0.34 (![X: $i] : (has_endowment(X) <=> ![T: $i] : (organization(X) & ((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T)) & ((~has_immunity(X, T)) | (~greater(age(X, T), eta))))) <=> ![X: $i] : (has_endowment(X) <=> ![T: $i] : (organization(X) & ((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T)) & ((~has_immunity(X, T)) | (~greater(age(X, T), eta)))))),
% 0.14/0.34 inference(rewrite,[status(thm)],[])).
% 0.14/0.34 tff(11,plain,
% 0.14/0.34 (^[X: $i] : rewrite((has_endowment(X) <=> ![T: $i] : ((organization(X) & (smaller_or_equal(age(X, T), eta) => has_immunity(X, T))) & (greater(age(X, T), eta) => (~has_immunity(X, T))))) <=> (has_endowment(X) <=> ![T: $i] : (organization(X) & ((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T)) & ((~has_immunity(X, T)) | (~greater(age(X, T), eta))))))),
% 0.14/0.34 inference(bind,[status(th)],[])).
% 0.14/0.34 tff(12,plain,
% 0.14/0.34 (![X: $i] : (has_endowment(X) <=> ![T: $i] : ((organization(X) & (smaller_or_equal(age(X, T), eta) => has_immunity(X, T))) & (greater(age(X, T), eta) => (~has_immunity(X, T))))) <=> ![X: $i] : (has_endowment(X) <=> ![T: $i] : (organization(X) & ((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T)) & ((~has_immunity(X, T)) | (~greater(age(X, T), eta)))))),
% 0.14/0.34 inference(quant_intro,[status(thm)],[11])).
% 0.14/0.34 tff(13,axiom,(![X: $i] : (has_endowment(X) <=> ![T: $i] : ((organization(X) & (smaller_or_equal(age(X, T), eta) => has_immunity(X, T))) & (greater(age(X, T), eta) => (~has_immunity(X, T)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','definition_1')).
% 0.14/0.34 tff(14,plain,
% 0.14/0.34 (![X: $i] : (has_endowment(X) <=> ![T: $i] : (organization(X) & ((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T)) & ((~has_immunity(X, T)) | (~greater(age(X, T), eta)))))),
% 0.14/0.34 inference(modus_ponens,[status(thm)],[13, 12])).
% 0.14/0.34 tff(15,plain,
% 0.14/0.34 (![X: $i] : (has_endowment(X) <=> ![T: $i] : (organization(X) & ((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T)) & ((~has_immunity(X, T)) | (~greater(age(X, T), eta)))))),
% 0.14/0.35 inference(modus_ponens,[status(thm)],[14, 10])).
% 0.14/0.35 tff(16,plain,(
% 0.14/0.35 ![X: $i] : (((~has_endowment(X)) | ![T: $i] : (organization(X) & ((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T)) & ((~has_immunity(X, T)) | (~greater(age(X, T), eta))))) & (has_endowment(X) | (~(organization(X) & ((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X))) & ((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta)))))))),
% 0.14/0.35 inference(skolemize,[status(sab)],[15])).
% 0.14/0.35 tff(17,plain,
% 0.14/0.35 (![X: $i] : (~((~((~has_endowment(X)) | ![T: $i] : (~((~organization(X)) | (~((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T))) | (~((~has_immunity(X, T)) | (~greater(age(X, T), eta)))))))) | (~(has_endowment(X) | (~organization(X)) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X)))) | (~((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta))))))))),
% 0.14/0.35 inference(modus_ponens,[status(thm)],[16, 9])).
% 0.14/0.35 tff(18,plain,
% 0.14/0.35 (![X: $i] : (~((~((~has_endowment(X)) | ![T: $i] : (~((~organization(X)) | (~((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T))) | (~((~has_immunity(X, T)) | (~greater(age(X, T), eta)))))))) | (~(has_endowment(X) | (~organization(X)) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X)))) | (~((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta))))))))),
% 0.14/0.35 inference(modus_ponens,[status(thm)],[17, 7])).
% 0.14/0.35 tff(19,plain,
% 0.14/0.35 (![X: $i] : (~((~(has_endowment(X) | (~organization(X)) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X)))) | (~((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta)))))) | (~((~has_endowment(X)) | ![T: $i] : (~((~organization(X)) | (~((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T))) | (~((~has_immunity(X, T)) | (~greater(age(X, T), eta))))))))))),
% 0.14/0.35 inference(modus_ponens,[status(thm)],[18, 2])).
% 0.14/0.35 tff(20,plain,
% 0.14/0.35 ((~![X: $i] : (~((~(has_endowment(X) | (~organization(X)) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X)))) | (~((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta)))))) | (~((~has_endowment(X)) | ![T: $i] : (~((~organization(X)) | (~((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T))) | (~((~has_immunity(X, T)) | (~greater(age(X, T), eta))))))))))) | (~((~(has_endowment(X!5) | (~organization(X!5)) | (~((~smaller_or_equal(age(X!5, tptp_fun_T_0(X!5)), eta)) | has_immunity(X!5, tptp_fun_T_0(X!5)))) | (~((~has_immunity(X!5, tptp_fun_T_0(X!5))) | (~greater(age(X!5, tptp_fun_T_0(X!5)), eta)))))) | (~((~has_endowment(X!5)) | ![T: $i] : (~((~organization(X!5)) | (~((~smaller_or_equal(age(X!5, T), eta)) | has_immunity(X!5, T))) | (~((~has_immunity(X!5, T)) | (~greater(age(X!5, T), eta))))))))))),
% 0.14/0.35 inference(quant_inst,[status(thm)],[])).
% 0.14/0.35 tff(21,plain,
% 0.14/0.35 (~((~(has_endowment(X!5) | (~organization(X!5)) | (~((~smaller_or_equal(age(X!5, tptp_fun_T_0(X!5)), eta)) | has_immunity(X!5, tptp_fun_T_0(X!5)))) | (~((~has_immunity(X!5, tptp_fun_T_0(X!5))) | (~greater(age(X!5, tptp_fun_T_0(X!5)), eta)))))) | (~((~has_endowment(X!5)) | ![T: $i] : (~((~organization(X!5)) | (~((~smaller_or_equal(age(X!5, T), eta)) | has_immunity(X!5, T))) | (~((~has_immunity(X!5, T)) | (~greater(age(X!5, T), eta)))))))))),
% 0.14/0.35 inference(unit_resolution,[status(thm)],[20, 19])).
% 0.14/0.35 tff(22,plain,
% 0.14/0.35 (((~(has_endowment(X!5) | (~organization(X!5)) | (~((~smaller_or_equal(age(X!5, tptp_fun_T_0(X!5)), eta)) | has_immunity(X!5, tptp_fun_T_0(X!5)))) | (~((~has_immunity(X!5, tptp_fun_T_0(X!5))) | (~greater(age(X!5, tptp_fun_T_0(X!5)), eta)))))) | (~((~has_endowment(X!5)) | ![T: $i] : (~((~organization(X!5)) | (~((~smaller_or_equal(age(X!5, T), eta)) | has_immunity(X!5, T))) | (~((~has_immunity(X!5, T)) | (~greater(age(X!5, T), eta))))))))) | ((~has_endowment(X!5)) | ![T: $i] : (~((~organization(X!5)) | (~((~smaller_or_equal(age(X!5, T), eta)) | has_immunity(X!5, T))) | (~((~has_immunity(X!5, T)) | (~greater(age(X!5, T), eta)))))))),
% 0.14/0.35 inference(tautology,[status(thm)],[])).
% 0.14/0.35 tff(23,plain,
% 0.14/0.35 ((~has_endowment(X!5)) | ![T: $i] : (~((~organization(X!5)) | (~((~smaller_or_equal(age(X!5, T), eta)) | has_immunity(X!5, T))) | (~((~has_immunity(X!5, T)) | (~greater(age(X!5, T), eta))))))),
% 0.14/0.35 inference(unit_resolution,[status(thm)],[22, 21])).
% 0.14/0.35 tff(24,plain,
% 0.14/0.35 ((~![X: $i, T0: $i, T1: $i, T2: $i, T3: $i] : ((~(organization(X) & has_endowment(X) & smaller_or_equal(age(X, T0), age(X, T1)) & smaller_or_equal(age(X, T1), eta) & greater(age(X, T2), eta) & greater(age(X, T3), age(X, T2)))) | (greater(hazard_of_mortality(X, T2), hazard_of_mortality(X, T3)) & greater(hazard_of_mortality(X, T3), hazard_of_mortality(X, T1)) & (hazard_of_mortality(X, T1) = hazard_of_mortality(X, T0))))) <=> (~![X: $i, T0: $i, T1: $i, T2: $i, T3: $i] : ((~(organization(X) & has_endowment(X) & smaller_or_equal(age(X, T0), age(X, T1)) & smaller_or_equal(age(X, T1), eta) & greater(age(X, T2), eta) & greater(age(X, T3), age(X, T2)))) | (greater(hazard_of_mortality(X, T2), hazard_of_mortality(X, T3)) & greater(hazard_of_mortality(X, T3), hazard_of_mortality(X, T1)) & (hazard_of_mortality(X, T1) = hazard_of_mortality(X, T0)))))),
% 0.14/0.35 inference(rewrite,[status(thm)],[])).
% 0.14/0.35 tff(25,plain,
% 0.14/0.35 ((~![X: $i, T0: $i, T1: $i, T2: $i, T3: $i] : ((((((organization(X) & has_endowment(X)) & smaller_or_equal(age(X, T0), age(X, T1))) & smaller_or_equal(age(X, T1), eta)) & greater(age(X, T2), eta)) & greater(age(X, T3), age(X, T2))) => ((greater(hazard_of_mortality(X, T2), hazard_of_mortality(X, T3)) & greater(hazard_of_mortality(X, T3), hazard_of_mortality(X, T1))) & (hazard_of_mortality(X, T1) = hazard_of_mortality(X, T0))))) <=> (~![X: $i, T0: $i, T1: $i, T2: $i, T3: $i] : ((~(organization(X) & has_endowment(X) & smaller_or_equal(age(X, T0), age(X, T1)) & smaller_or_equal(age(X, T1), eta) & greater(age(X, T2), eta) & greater(age(X, T3), age(X, T2)))) | (greater(hazard_of_mortality(X, T2), hazard_of_mortality(X, T3)) & greater(hazard_of_mortality(X, T3), hazard_of_mortality(X, T1)) & (hazard_of_mortality(X, T1) = hazard_of_mortality(X, T0)))))),
% 0.14/0.35 inference(rewrite,[status(thm)],[])).
% 0.14/0.35 tff(26,axiom,(~![X: $i, T0: $i, T1: $i, T2: $i, T3: $i] : ((((((organization(X) & has_endowment(X)) & smaller_or_equal(age(X, T0), age(X, T1))) & smaller_or_equal(age(X, T1), eta)) & greater(age(X, T2), eta)) & greater(age(X, T3), age(X, T2))) => ((greater(hazard_of_mortality(X, T2), hazard_of_mortality(X, T3)) & greater(hazard_of_mortality(X, T3), hazard_of_mortality(X, T1))) & (hazard_of_mortality(X, T1) = hazard_of_mortality(X, T0))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','theorem_2')).
% 0.14/0.35 tff(27,plain,
% 0.14/0.35 (~![X: $i, T0: $i, T1: $i, T2: $i, T3: $i] : ((~(organization(X) & has_endowment(X) & smaller_or_equal(age(X, T0), age(X, T1)) & smaller_or_equal(age(X, T1), eta) & greater(age(X, T2), eta) & greater(age(X, T3), age(X, T2)))) | (greater(hazard_of_mortality(X, T2), hazard_of_mortality(X, T3)) & greater(hazard_of_mortality(X, T3), hazard_of_mortality(X, T1)) & (hazard_of_mortality(X, T1) = hazard_of_mortality(X, T0))))),
% 0.14/0.35 inference(modus_ponens,[status(thm)],[26, 25])).
% 0.14/0.35 tff(28,plain,
% 0.14/0.35 (~![X: $i, T0: $i, T1: $i, T2: $i, T3: $i] : ((~(organization(X) & has_endowment(X) & smaller_or_equal(age(X, T0), age(X, T1)) & smaller_or_equal(age(X, T1), eta) & greater(age(X, T2), eta) & greater(age(X, T3), age(X, T2)))) | (greater(hazard_of_mortality(X, T2), hazard_of_mortality(X, T3)) & greater(hazard_of_mortality(X, T3), hazard_of_mortality(X, T1)) & (hazard_of_mortality(X, T1) = hazard_of_mortality(X, T0))))),
% 0.14/0.35 inference(modus_ponens,[status(thm)],[27, 24])).
% 0.14/0.35 tff(29,plain,
% 0.14/0.35 (~![X: $i, T0: $i, T1: $i, T2: $i, T3: $i] : ((~(organization(X) & has_endowment(X) & smaller_or_equal(age(X, T0), age(X, T1)) & smaller_or_equal(age(X, T1), eta) & greater(age(X, T2), eta) & greater(age(X, T3), age(X, T2)))) | (greater(hazard_of_mortality(X, T2), hazard_of_mortality(X, T3)) & greater(hazard_of_mortality(X, T3), hazard_of_mortality(X, T1)) & (hazard_of_mortality(X, T1) = hazard_of_mortality(X, T0))))),
% 0.14/0.35 inference(modus_ponens,[status(thm)],[28, 24])).
% 0.14/0.35 tff(30,plain,
% 0.14/0.35 (~![X: $i, T0: $i, T1: $i, T2: $i, T3: $i] : ((~(organization(X) & has_endowment(X) & smaller_or_equal(age(X, T0), age(X, T1)) & smaller_or_equal(age(X, T1), eta) & greater(age(X, T2), eta) & greater(age(X, T3), age(X, T2)))) | (greater(hazard_of_mortality(X, T2), hazard_of_mortality(X, T3)) & greater(hazard_of_mortality(X, T3), hazard_of_mortality(X, T1)) & (hazard_of_mortality(X, T1) = hazard_of_mortality(X, T0))))),
% 0.14/0.35 inference(modus_ponens,[status(thm)],[29, 24])).
% 0.14/0.35 tff(31,plain,
% 0.14/0.35 (~![X: $i, T0: $i, T1: $i, T2: $i, T3: $i] : ((~(organization(X) & has_endowment(X) & smaller_or_equal(age(X, T0), age(X, T1)) & smaller_or_equal(age(X, T1), eta) & greater(age(X, T2), eta) & greater(age(X, T3), age(X, T2)))) | (greater(hazard_of_mortality(X, T2), hazard_of_mortality(X, T3)) & greater(hazard_of_mortality(X, T3), hazard_of_mortality(X, T1)) & (hazard_of_mortality(X, T1) = hazard_of_mortality(X, T0))))),
% 0.14/0.35 inference(modus_ponens,[status(thm)],[30, 24])).
% 0.14/0.35 tff(32,plain,
% 0.14/0.35 (~![X: $i, T0: $i, T1: $i, T2: $i, T3: $i] : ((~(organization(X) & has_endowment(X) & smaller_or_equal(age(X, T0), age(X, T1)) & smaller_or_equal(age(X, T1), eta) & greater(age(X, T2), eta) & greater(age(X, T3), age(X, T2)))) | (greater(hazard_of_mortality(X, T2), hazard_of_mortality(X, T3)) & greater(hazard_of_mortality(X, T3), hazard_of_mortality(X, T1)) & (hazard_of_mortality(X, T1) = hazard_of_mortality(X, T0))))),
% 0.14/0.35 inference(modus_ponens,[status(thm)],[31, 24])).
% 0.14/0.35 tff(33,plain,
% 0.14/0.35 (~![X: $i, T0: $i, T1: $i, T2: $i, T3: $i] : ((~(organization(X) & has_endowment(X) & smaller_or_equal(age(X, T0), age(X, T1)) & smaller_or_equal(age(X, T1), eta) & greater(age(X, T2), eta) & greater(age(X, T3), age(X, T2)))) | (greater(hazard_of_mortality(X, T2), hazard_of_mortality(X, T3)) & greater(hazard_of_mortality(X, T3), hazard_of_mortality(X, T1)) & (hazard_of_mortality(X, T1) = hazard_of_mortality(X, T0))))),
% 0.14/0.35 inference(modus_ponens,[status(thm)],[32, 24])).
% 0.14/0.35 tff(34,plain,(
% 0.14/0.35 ~((~(organization(X!5) & has_endowment(X!5) & smaller_or_equal(age(X!5, T0!4), age(X!5, T1!3)) & smaller_or_equal(age(X!5, T1!3), eta) & greater(age(X!5, T2!2), eta) & greater(age(X!5, T3!1), age(X!5, T2!2)))) | (greater(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T3!1)) & greater(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T1!3)) & (hazard_of_mortality(X!5, T1!3) = hazard_of_mortality(X!5, T0!4))))),
% 0.14/0.35 inference(skolemize,[status(sab)],[33])).
% 0.14/0.35 tff(35,plain,
% 0.14/0.35 (organization(X!5) & has_endowment(X!5) & smaller_or_equal(age(X!5, T0!4), age(X!5, T1!3)) & smaller_or_equal(age(X!5, T1!3), eta) & greater(age(X!5, T2!2), eta) & greater(age(X!5, T3!1), age(X!5, T2!2))),
% 0.14/0.35 inference(or_elim,[status(thm)],[34])).
% 0.14/0.35 tff(36,plain,
% 0.14/0.35 (has_endowment(X!5)),
% 0.14/0.35 inference(and_elim,[status(thm)],[35])).
% 0.14/0.35 tff(37,plain,
% 0.14/0.35 ((~((~has_endowment(X!5)) | ![T: $i] : (~((~organization(X!5)) | (~((~smaller_or_equal(age(X!5, T), eta)) | has_immunity(X!5, T))) | (~((~has_immunity(X!5, T)) | (~greater(age(X!5, T), eta)))))))) | (~has_endowment(X!5)) | ![T: $i] : (~((~organization(X!5)) | (~((~smaller_or_equal(age(X!5, T), eta)) | has_immunity(X!5, T))) | (~((~has_immunity(X!5, T)) | (~greater(age(X!5, T), eta))))))),
% 0.14/0.35 inference(tautology,[status(thm)],[])).
% 0.14/0.35 tff(38,plain,
% 0.14/0.35 ((~((~has_endowment(X!5)) | ![T: $i] : (~((~organization(X!5)) | (~((~smaller_or_equal(age(X!5, T), eta)) | has_immunity(X!5, T))) | (~((~has_immunity(X!5, T)) | (~greater(age(X!5, T), eta)))))))) | ![T: $i] : (~((~organization(X!5)) | (~((~smaller_or_equal(age(X!5, T), eta)) | has_immunity(X!5, T))) | (~((~has_immunity(X!5, T)) | (~greater(age(X!5, T), eta))))))),
% 0.14/0.35 inference(unit_resolution,[status(thm)],[37, 36])).
% 0.14/0.35 tff(39,plain,
% 0.14/0.35 (![T: $i] : (~((~organization(X!5)) | (~((~smaller_or_equal(age(X!5, T), eta)) | has_immunity(X!5, T))) | (~((~has_immunity(X!5, T)) | (~greater(age(X!5, T), eta))))))),
% 0.14/0.35 inference(unit_resolution,[status(thm)],[38, 23])).
% 0.14/0.35 tff(40,plain,
% 0.14/0.35 ((~![T: $i] : (~((~organization(X!5)) | (~((~smaller_or_equal(age(X!5, T), eta)) | has_immunity(X!5, T))) | (~((~has_immunity(X!5, T)) | (~greater(age(X!5, T), eta))))))) | (~((~organization(X!5)) | (~((~smaller_or_equal(age(X!5, T1!3), eta)) | has_immunity(X!5, T1!3))) | (~((~has_immunity(X!5, T1!3)) | (~greater(age(X!5, T1!3), eta))))))),
% 0.14/0.35 inference(quant_inst,[status(thm)],[])).
% 0.14/0.35 tff(41,plain,
% 0.14/0.35 (~((~organization(X!5)) | (~((~smaller_or_equal(age(X!5, T1!3), eta)) | has_immunity(X!5, T1!3))) | (~((~has_immunity(X!5, T1!3)) | (~greater(age(X!5, T1!3), eta)))))),
% 0.14/0.35 inference(unit_resolution,[status(thm)],[40, 39])).
% 0.14/0.35 tff(42,plain,
% 0.14/0.35 (((~organization(X!5)) | (~((~smaller_or_equal(age(X!5, T1!3), eta)) | has_immunity(X!5, T1!3))) | (~((~has_immunity(X!5, T1!3)) | (~greater(age(X!5, T1!3), eta))))) | ((~smaller_or_equal(age(X!5, T1!3), eta)) | has_immunity(X!5, T1!3))),
% 0.14/0.35 inference(tautology,[status(thm)],[])).
% 0.14/0.35 tff(43,plain,
% 0.14/0.35 ((~smaller_or_equal(age(X!5, T1!3), eta)) | has_immunity(X!5, T1!3)),
% 0.14/0.35 inference(unit_resolution,[status(thm)],[42, 41])).
% 0.14/0.35 tff(44,plain,
% 0.14/0.35 (smaller_or_equal(age(X!5, T1!3), eta)),
% 0.14/0.35 inference(and_elim,[status(thm)],[35])).
% 0.14/0.35 tff(45,plain,
% 0.14/0.35 ((~((~smaller_or_equal(age(X!5, T1!3), eta)) | has_immunity(X!5, T1!3))) | (~smaller_or_equal(age(X!5, T1!3), eta)) | has_immunity(X!5, T1!3)),
% 0.14/0.35 inference(tautology,[status(thm)],[])).
% 0.14/0.35 tff(46,plain,
% 0.14/0.35 ((~((~smaller_or_equal(age(X!5, T1!3), eta)) | has_immunity(X!5, T1!3))) | has_immunity(X!5, T1!3)),
% 0.14/0.35 inference(unit_resolution,[status(thm)],[45, 44])).
% 0.14/0.35 tff(47,plain,
% 0.14/0.35 (has_immunity(X!5, T1!3)),
% 0.14/0.35 inference(unit_resolution,[status(thm)],[46, 43])).
% 0.14/0.35 tff(48,plain,
% 0.14/0.35 (^[X: $i, Y: $i] : refl((smaller(X, Y) <=> greater(Y, X)) <=> (smaller(X, Y) <=> greater(Y, X)))),
% 0.14/0.35 inference(bind,[status(th)],[])).
% 0.14/0.35 tff(49,plain,
% 0.14/0.35 (![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X)) <=> ![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))),
% 0.14/0.35 inference(quant_intro,[status(thm)],[48])).
% 0.14/0.35 tff(50,plain,
% 0.14/0.35 (![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X)) <=> ![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))),
% 0.14/0.35 inference(rewrite,[status(thm)],[])).
% 0.14/0.35 tff(51,axiom,(![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))), file('/export/starexec/sandbox2/benchmark/Axioms/MGT001+0.ax','definition_smaller')).
% 0.14/0.35 tff(52,plain,
% 0.14/0.35 (![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))),
% 0.14/0.35 inference(modus_ponens,[status(thm)],[51, 50])).
% 0.14/0.35 tff(53,plain,(
% 0.14/0.35 ![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))),
% 0.14/0.35 inference(skolemize,[status(sab)],[52])).
% 0.14/0.35 tff(54,plain,
% 0.14/0.35 (![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))),
% 0.14/0.35 inference(modus_ponens,[status(thm)],[53, 49])).
% 0.14/0.35 tff(55,plain,
% 0.14/0.35 ((~![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))) | (smaller(age(X!5, T0!4), age(X!5, T1!3)) <=> greater(age(X!5, T1!3), age(X!5, T0!4)))),
% 0.14/0.35 inference(quant_inst,[status(thm)],[])).
% 0.14/0.35 tff(56,plain,
% 0.14/0.35 (smaller(age(X!5, T0!4), age(X!5, T1!3)) <=> greater(age(X!5, T1!3), age(X!5, T0!4))),
% 0.14/0.35 inference(unit_resolution,[status(thm)],[55, 54])).
% 0.14/0.35 tff(57,plain,
% 0.14/0.35 (^[X: $i, Y: $i] : refl((smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y))) <=> (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y))))),
% 0.14/0.35 inference(bind,[status(th)],[])).
% 0.14/0.35 tff(58,plain,
% 0.14/0.35 (![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y))) <=> ![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))),
% 0.14/0.35 inference(quant_intro,[status(thm)],[57])).
% 0.14/0.35 tff(59,plain,
% 0.14/0.35 (![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y))) <=> ![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))),
% 0.14/0.35 inference(rewrite,[status(thm)],[])).
% 0.14/0.35 tff(60,plain,
% 0.14/0.35 (^[X: $i, Y: $i] : rewrite((smaller_or_equal(X, Y) <=> (smaller(X, Y) | (X = Y))) <=> (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y))))),
% 0.14/0.35 inference(bind,[status(th)],[])).
% 0.14/0.35 tff(61,plain,
% 0.14/0.35 (![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> (smaller(X, Y) | (X = Y))) <=> ![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))),
% 0.14/0.36 inference(quant_intro,[status(thm)],[60])).
% 0.14/0.36 tff(62,axiom,(![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> (smaller(X, Y) | (X = Y)))), file('/export/starexec/sandbox2/benchmark/Axioms/MGT001+0.ax','definition_smaller_or_equal')).
% 0.14/0.36 tff(63,plain,
% 0.14/0.36 (![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))),
% 0.14/0.36 inference(modus_ponens,[status(thm)],[62, 61])).
% 0.14/0.36 tff(64,plain,
% 0.14/0.36 (![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))),
% 0.14/0.36 inference(modus_ponens,[status(thm)],[63, 59])).
% 0.14/0.36 tff(65,plain,(
% 0.14/0.36 ![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))),
% 0.14/0.36 inference(skolemize,[status(sab)],[64])).
% 0.14/0.36 tff(66,plain,
% 0.14/0.36 (![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))),
% 0.14/0.36 inference(modus_ponens,[status(thm)],[65, 58])).
% 0.14/0.36 tff(67,plain,
% 0.14/0.36 ((~![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))) | (smaller_or_equal(age(X!5, T0!4), eta) <=> ((age(X!5, T0!4) = eta) | smaller(age(X!5, T0!4), eta)))),
% 0.14/0.36 inference(quant_inst,[status(thm)],[])).
% 0.14/0.36 tff(68,plain,
% 0.14/0.36 (smaller_or_equal(age(X!5, T0!4), eta) <=> ((age(X!5, T0!4) = eta) | smaller(age(X!5, T0!4), eta))),
% 0.14/0.36 inference(unit_resolution,[status(thm)],[67, 66])).
% 0.14/0.36 tff(69,assumption,(~smaller_or_equal(age(X!5, T0!4), eta)), introduced(assumption)).
% 0.14/0.36 tff(70,plain,
% 0.14/0.36 ((~(smaller_or_equal(age(X!5, T0!4), eta) <=> ((age(X!5, T0!4) = eta) | smaller(age(X!5, T0!4), eta)))) | smaller_or_equal(age(X!5, T0!4), eta) | (~((age(X!5, T0!4) = eta) | smaller(age(X!5, T0!4), eta)))),
% 0.14/0.36 inference(tautology,[status(thm)],[])).
% 0.14/0.36 tff(71,plain,
% 0.14/0.36 ((~(smaller_or_equal(age(X!5, T0!4), eta) <=> ((age(X!5, T0!4) = eta) | smaller(age(X!5, T0!4), eta)))) | (~((age(X!5, T0!4) = eta) | smaller(age(X!5, T0!4), eta)))),
% 0.14/0.36 inference(unit_resolution,[status(thm)],[70, 69])).
% 0.14/0.36 tff(72,plain,
% 0.14/0.36 (~((age(X!5, T0!4) = eta) | smaller(age(X!5, T0!4), eta))),
% 0.14/0.36 inference(unit_resolution,[status(thm)],[71, 68])).
% 0.14/0.36 tff(73,plain,
% 0.14/0.36 (((age(X!5, T0!4) = eta) | smaller(age(X!5, T0!4), eta)) | (~smaller(age(X!5, T0!4), eta))),
% 0.14/0.36 inference(tautology,[status(thm)],[])).
% 0.14/0.36 tff(74,plain,
% 0.14/0.36 (~smaller(age(X!5, T0!4), eta)),
% 0.14/0.36 inference(unit_resolution,[status(thm)],[73, 72])).
% 0.14/0.36 tff(75,plain,
% 0.14/0.36 (((age(X!5, T0!4) = eta) | smaller(age(X!5, T0!4), eta)) | (~(age(X!5, T0!4) = eta))),
% 0.14/0.36 inference(tautology,[status(thm)],[])).
% 0.14/0.36 tff(76,plain,
% 0.14/0.36 (~(age(X!5, T0!4) = eta)),
% 0.14/0.36 inference(unit_resolution,[status(thm)],[75, 72])).
% 0.14/0.36 tff(77,plain,
% 0.14/0.36 (^[X: $i, Y: $i] : refl(((X = Y) | smaller(X, Y) | greater(X, Y)) <=> ((X = Y) | smaller(X, Y) | greater(X, Y)))),
% 0.14/0.36 inference(bind,[status(th)],[])).
% 0.14/0.36 tff(78,plain,
% 0.14/0.36 (![X: $i, Y: $i] : ((X = Y) | smaller(X, Y) | greater(X, Y)) <=> ![X: $i, Y: $i] : ((X = Y) | smaller(X, Y) | greater(X, Y))),
% 0.14/0.36 inference(quant_intro,[status(thm)],[77])).
% 0.14/0.36 tff(79,plain,
% 0.14/0.36 (![X: $i, Y: $i] : ((X = Y) | smaller(X, Y) | greater(X, Y)) <=> ![X: $i, Y: $i] : ((X = Y) | smaller(X, Y) | greater(X, Y))),
% 0.14/0.36 inference(rewrite,[status(thm)],[])).
% 0.14/0.36 tff(80,plain,
% 0.14/0.36 (^[X: $i, Y: $i] : trans(monotonicity(rewrite((smaller(X, Y) | (X = Y)) <=> ((X = Y) | smaller(X, Y))), (((smaller(X, Y) | (X = Y)) | greater(X, Y)) <=> (((X = Y) | smaller(X, Y)) | greater(X, Y)))), rewrite((((X = Y) | smaller(X, Y)) | greater(X, Y)) <=> ((X = Y) | smaller(X, Y) | greater(X, Y))), (((smaller(X, Y) | (X = Y)) | greater(X, Y)) <=> ((X = Y) | smaller(X, Y) | greater(X, Y))))),
% 0.14/0.36 inference(bind,[status(th)],[])).
% 0.14/0.36 tff(81,plain,
% 0.14/0.36 (![X: $i, Y: $i] : ((smaller(X, Y) | (X = Y)) | greater(X, Y)) <=> ![X: $i, Y: $i] : ((X = Y) | smaller(X, Y) | greater(X, Y))),
% 0.14/0.36 inference(quant_intro,[status(thm)],[80])).
% 0.14/0.36 tff(82,axiom,(![X: $i, Y: $i] : ((smaller(X, Y) | (X = Y)) | greater(X, Y))), file('/export/starexec/sandbox2/benchmark/Axioms/MGT001+0.ax','meaning_postulate_greater_comparable')).
% 0.14/0.36 tff(83,plain,
% 0.14/0.36 (![X: $i, Y: $i] : ((X = Y) | smaller(X, Y) | greater(X, Y))),
% 0.14/0.36 inference(modus_ponens,[status(thm)],[82, 81])).
% 0.14/0.36 tff(84,plain,
% 0.14/0.36 (![X: $i, Y: $i] : ((X = Y) | smaller(X, Y) | greater(X, Y))),
% 0.14/0.36 inference(modus_ponens,[status(thm)],[83, 79])).
% 0.14/0.36 tff(85,plain,(
% 0.14/0.36 ![X: $i, Y: $i] : ((X = Y) | smaller(X, Y) | greater(X, Y))),
% 0.14/0.36 inference(skolemize,[status(sab)],[84])).
% 0.14/0.36 tff(86,plain,
% 0.14/0.36 (![X: $i, Y: $i] : ((X = Y) | smaller(X, Y) | greater(X, Y))),
% 0.14/0.36 inference(modus_ponens,[status(thm)],[85, 78])).
% 0.14/0.36 tff(87,plain,
% 0.14/0.36 (((~![X: $i, Y: $i] : ((X = Y) | smaller(X, Y) | greater(X, Y))) | (greater(age(X!5, T0!4), eta) | (age(X!5, T0!4) = eta) | smaller(age(X!5, T0!4), eta))) <=> ((~![X: $i, Y: $i] : ((X = Y) | smaller(X, Y) | greater(X, Y))) | greater(age(X!5, T0!4), eta) | (age(X!5, T0!4) = eta) | smaller(age(X!5, T0!4), eta))),
% 0.14/0.36 inference(rewrite,[status(thm)],[])).
% 0.14/0.36 tff(88,plain,
% 0.14/0.36 (((age(X!5, T0!4) = eta) | smaller(age(X!5, T0!4), eta) | greater(age(X!5, T0!4), eta)) <=> (greater(age(X!5, T0!4), eta) | (age(X!5, T0!4) = eta) | smaller(age(X!5, T0!4), eta))),
% 0.14/0.36 inference(rewrite,[status(thm)],[])).
% 0.14/0.36 tff(89,plain,
% 0.14/0.36 (((~![X: $i, Y: $i] : ((X = Y) | smaller(X, Y) | greater(X, Y))) | ((age(X!5, T0!4) = eta) | smaller(age(X!5, T0!4), eta) | greater(age(X!5, T0!4), eta))) <=> ((~![X: $i, Y: $i] : ((X = Y) | smaller(X, Y) | greater(X, Y))) | (greater(age(X!5, T0!4), eta) | (age(X!5, T0!4) = eta) | smaller(age(X!5, T0!4), eta)))),
% 0.14/0.36 inference(monotonicity,[status(thm)],[88])).
% 0.14/0.36 tff(90,plain,
% 0.14/0.36 (((~![X: $i, Y: $i] : ((X = Y) | smaller(X, Y) | greater(X, Y))) | ((age(X!5, T0!4) = eta) | smaller(age(X!5, T0!4), eta) | greater(age(X!5, T0!4), eta))) <=> ((~![X: $i, Y: $i] : ((X = Y) | smaller(X, Y) | greater(X, Y))) | greater(age(X!5, T0!4), eta) | (age(X!5, T0!4) = eta) | smaller(age(X!5, T0!4), eta))),
% 0.14/0.36 inference(transitivity,[status(thm)],[89, 87])).
% 0.14/0.36 tff(91,plain,
% 0.14/0.36 ((~![X: $i, Y: $i] : ((X = Y) | smaller(X, Y) | greater(X, Y))) | ((age(X!5, T0!4) = eta) | smaller(age(X!5, T0!4), eta) | greater(age(X!5, T0!4), eta))),
% 0.14/0.36 inference(quant_inst,[status(thm)],[])).
% 0.14/0.36 tff(92,plain,
% 0.14/0.36 ((~![X: $i, Y: $i] : ((X = Y) | smaller(X, Y) | greater(X, Y))) | greater(age(X!5, T0!4), eta) | (age(X!5, T0!4) = eta) | smaller(age(X!5, T0!4), eta)),
% 0.14/0.36 inference(modus_ponens,[status(thm)],[91, 90])).
% 0.14/0.36 tff(93,plain,
% 0.14/0.36 (greater(age(X!5, T0!4), eta)),
% 0.14/0.36 inference(unit_resolution,[status(thm)],[92, 86, 76, 74])).
% 0.14/0.36 tff(94,assumption,(greater(age(X!5, T1!3), age(X!5, T0!4))), introduced(assumption)).
% 0.14/0.36 tff(95,plain,
% 0.14/0.36 (((~organization(X!5)) | (~((~smaller_or_equal(age(X!5, T1!3), eta)) | has_immunity(X!5, T1!3))) | (~((~has_immunity(X!5, T1!3)) | (~greater(age(X!5, T1!3), eta))))) | ((~has_immunity(X!5, T1!3)) | (~greater(age(X!5, T1!3), eta)))),
% 0.14/0.36 inference(tautology,[status(thm)],[])).
% 0.14/0.36 tff(96,plain,
% 0.14/0.36 ((~has_immunity(X!5, T1!3)) | (~greater(age(X!5, T1!3), eta))),
% 0.14/0.36 inference(unit_resolution,[status(thm)],[95, 41])).
% 0.14/0.36 tff(97,plain,
% 0.14/0.36 ((~((~has_immunity(X!5, T1!3)) | (~greater(age(X!5, T1!3), eta)))) | (~has_immunity(X!5, T1!3)) | (~greater(age(X!5, T1!3), eta))),
% 0.14/0.36 inference(tautology,[status(thm)],[])).
% 0.14/0.36 tff(98,plain,
% 0.14/0.36 (~greater(age(X!5, T1!3), eta)),
% 0.14/0.36 inference(unit_resolution,[status(thm)],[97, 47, 96])).
% 0.14/0.36 tff(99,assumption,(greater(age(X!5, T0!4), eta)), introduced(assumption)).
% 0.14/0.36 tff(100,plain,
% 0.14/0.36 (![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)))),
% 0.14/0.36 inference(rewrite,[status(thm)],[])).
% 0.14/0.36 tff(101,plain,
% 0.14/0.36 (^[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(102,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)],[101])).
% 0.14/0.36 tff(103,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(104,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(105,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)],[104])).
% 0.14/0.36 tff(106,axiom,(![X: $i, Y: $i, Z: $i] : ((greater(X, Y) & greater(Y, Z)) => greater(X, Z))), file('/export/starexec/sandbox2/benchmark/Axioms/MGT001+0.ax','meaning_postulate_greater_transitive')).
% 0.14/0.36 tff(107,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)],[106, 105])).
% 0.14/0.36 tff(108,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)],[107, 103])).
% 0.14/0.36 tff(109,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)],[108])).
% 0.14/0.36 tff(110,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)],[109, 102])).
% 0.14/0.36 tff(111,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)],[110, 100])).
% 0.14/0.36 tff(112,plain,
% 0.14/0.36 (((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | ((~greater(age(X!5, T0!4), eta)) | greater(age(X!5, T1!3), eta) | (~greater(age(X!5, T1!3), age(X!5, T0!4))))) <=> ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (~greater(age(X!5, T0!4), eta)) | greater(age(X!5, T1!3), eta) | (~greater(age(X!5, T1!3), age(X!5, T0!4))))),
% 0.14/0.36 inference(rewrite,[status(thm)],[])).
% 0.14/0.36 tff(113,plain,
% 0.14/0.36 ((greater(age(X!5, T1!3), eta) | (~greater(age(X!5, T0!4), eta)) | (~greater(age(X!5, T1!3), age(X!5, T0!4)))) <=> ((~greater(age(X!5, T0!4), eta)) | greater(age(X!5, T1!3), eta) | (~greater(age(X!5, T1!3), age(X!5, T0!4))))),
% 0.14/0.36 inference(rewrite,[status(thm)],[])).
% 0.14/0.36 tff(114,plain,
% 0.14/0.36 (((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (greater(age(X!5, T1!3), eta) | (~greater(age(X!5, T0!4), eta)) | (~greater(age(X!5, T1!3), age(X!5, T0!4))))) <=> ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | ((~greater(age(X!5, T0!4), eta)) | greater(age(X!5, T1!3), eta) | (~greater(age(X!5, T1!3), age(X!5, T0!4)))))),
% 0.14/0.36 inference(monotonicity,[status(thm)],[113])).
% 0.14/0.36 tff(115,plain,
% 0.14/0.36 (((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (greater(age(X!5, T1!3), eta) | (~greater(age(X!5, T0!4), eta)) | (~greater(age(X!5, T1!3), age(X!5, T0!4))))) <=> ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (~greater(age(X!5, T0!4), eta)) | greater(age(X!5, T1!3), eta) | (~greater(age(X!5, T1!3), age(X!5, T0!4))))),
% 0.14/0.36 inference(transitivity,[status(thm)],[114, 112])).
% 0.14/0.36 tff(116,plain,
% 0.14/0.36 ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (greater(age(X!5, T1!3), eta) | (~greater(age(X!5, T0!4), eta)) | (~greater(age(X!5, T1!3), age(X!5, T0!4))))),
% 0.14/0.36 inference(quant_inst,[status(thm)],[])).
% 0.14/0.36 tff(117,plain,
% 0.14/0.36 ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (~greater(age(X!5, T0!4), eta)) | greater(age(X!5, T1!3), eta) | (~greater(age(X!5, T1!3), age(X!5, T0!4)))),
% 0.14/0.36 inference(modus_ponens,[status(thm)],[116, 115])).
% 0.14/0.36 tff(118,plain,
% 0.14/0.36 ($false),
% 0.14/0.36 inference(unit_resolution,[status(thm)],[117, 111, 99, 98, 94])).
% 0.14/0.36 tff(119,plain,((~greater(age(X!5, T1!3), age(X!5, T0!4))) | (~greater(age(X!5, T0!4), eta))), inference(lemma,lemma(discharge,[]))).
% 0.14/0.36 tff(120,plain,
% 0.14/0.36 (~greater(age(X!5, T1!3), age(X!5, T0!4))),
% 0.14/0.36 inference(unit_resolution,[status(thm)],[119, 93])).
% 0.14/0.36 tff(121,plain,
% 0.14/0.36 ((~(smaller(age(X!5, T0!4), age(X!5, T1!3)) <=> greater(age(X!5, T1!3), age(X!5, T0!4)))) | (~smaller(age(X!5, T0!4), age(X!5, T1!3))) | greater(age(X!5, T1!3), age(X!5, T0!4))),
% 0.14/0.36 inference(tautology,[status(thm)],[])).
% 0.14/0.36 tff(122,plain,
% 0.14/0.36 ((~(smaller(age(X!5, T0!4), age(X!5, T1!3)) <=> greater(age(X!5, T1!3), age(X!5, T0!4)))) | (~smaller(age(X!5, T0!4), age(X!5, T1!3)))),
% 0.14/0.36 inference(unit_resolution,[status(thm)],[121, 120])).
% 0.14/0.36 tff(123,plain,
% 0.14/0.36 (~smaller(age(X!5, T0!4), age(X!5, T1!3))),
% 0.14/0.36 inference(unit_resolution,[status(thm)],[122, 56])).
% 0.14/0.36 tff(124,plain,
% 0.14/0.36 ((~![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))) | (smaller_or_equal(age(X!5, T0!4), age(X!5, T1!3)) <=> ((age(X!5, T0!4) = age(X!5, T1!3)) | smaller(age(X!5, T0!4), age(X!5, T1!3))))),
% 0.14/0.36 inference(quant_inst,[status(thm)],[])).
% 0.14/0.36 tff(125,plain,
% 0.14/0.36 (smaller_or_equal(age(X!5, T0!4), age(X!5, T1!3)) <=> ((age(X!5, T0!4) = age(X!5, T1!3)) | smaller(age(X!5, T0!4), age(X!5, T1!3)))),
% 0.14/0.36 inference(unit_resolution,[status(thm)],[124, 66])).
% 0.14/0.36 tff(126,plain,
% 0.14/0.36 (smaller_or_equal(age(X!5, T0!4), age(X!5, T1!3))),
% 0.14/0.36 inference(and_elim,[status(thm)],[35])).
% 0.14/0.36 tff(127,plain,
% 0.14/0.36 ((~(smaller_or_equal(age(X!5, T0!4), age(X!5, T1!3)) <=> ((age(X!5, T0!4) = age(X!5, T1!3)) | smaller(age(X!5, T0!4), age(X!5, T1!3))))) | (~smaller_or_equal(age(X!5, T0!4), age(X!5, T1!3))) | ((age(X!5, T0!4) = age(X!5, T1!3)) | smaller(age(X!5, T0!4), age(X!5, T1!3)))),
% 0.14/0.36 inference(tautology,[status(thm)],[])).
% 0.14/0.36 tff(128,plain,
% 0.14/0.36 ((~(smaller_or_equal(age(X!5, T0!4), age(X!5, T1!3)) <=> ((age(X!5, T0!4) = age(X!5, T1!3)) | smaller(age(X!5, T0!4), age(X!5, T1!3))))) | ((age(X!5, T0!4) = age(X!5, T1!3)) | smaller(age(X!5, T0!4), age(X!5, T1!3)))),
% 0.14/0.36 inference(unit_resolution,[status(thm)],[127, 126])).
% 0.14/0.36 tff(129,plain,
% 0.14/0.36 ((age(X!5, T0!4) = age(X!5, T1!3)) | smaller(age(X!5, T0!4), age(X!5, T1!3))),
% 0.14/0.36 inference(unit_resolution,[status(thm)],[128, 125])).
% 0.14/0.36 tff(130,plain,
% 0.14/0.36 ((~((age(X!5, T0!4) = age(X!5, T1!3)) | smaller(age(X!5, T0!4), age(X!5, T1!3)))) | (age(X!5, T0!4) = age(X!5, T1!3)) | smaller(age(X!5, T0!4), age(X!5, T1!3))),
% 0.14/0.36 inference(tautology,[status(thm)],[])).
% 0.14/0.36 tff(131,plain,
% 0.14/0.36 ((age(X!5, T0!4) = age(X!5, T1!3)) | smaller(age(X!5, T0!4), age(X!5, T1!3))),
% 0.14/0.36 inference(unit_resolution,[status(thm)],[130, 129])).
% 0.14/0.36 tff(132,plain,
% 0.14/0.36 (age(X!5, T0!4) = age(X!5, T1!3)),
% 0.14/0.36 inference(unit_resolution,[status(thm)],[131, 123])).
% 0.14/0.36 tff(133,plain,
% 0.14/0.36 (smaller_or_equal(age(X!5, T0!4), eta) <=> smaller_or_equal(age(X!5, T1!3), eta)),
% 0.14/0.36 inference(monotonicity,[status(thm)],[132])).
% 0.14/0.36 tff(134,plain,
% 0.14/0.36 (smaller_or_equal(age(X!5, T1!3), eta) <=> smaller_or_equal(age(X!5, T0!4), eta)),
% 0.14/0.36 inference(symmetry,[status(thm)],[133])).
% 0.14/0.36 tff(135,plain,
% 0.14/0.36 (smaller_or_equal(age(X!5, T0!4), eta)),
% 0.14/0.36 inference(modus_ponens,[status(thm)],[44, 134])).
% 0.14/0.36 tff(136,plain,
% 0.14/0.36 ($false),
% 0.14/0.36 inference(unit_resolution,[status(thm)],[69, 135])).
% 0.14/0.36 tff(137,plain,(smaller_or_equal(age(X!5, T0!4), eta)), inference(lemma,lemma(discharge,[]))).
% 0.14/0.36 tff(138,plain,
% 0.14/0.36 ((~![T: $i] : (~((~organization(X!5)) | (~((~smaller_or_equal(age(X!5, T), eta)) | has_immunity(X!5, T))) | (~((~has_immunity(X!5, T)) | (~greater(age(X!5, T), eta))))))) | (~((~organization(X!5)) | (~((~smaller_or_equal(age(X!5, T0!4), eta)) | has_immunity(X!5, T0!4))) | (~((~has_immunity(X!5, T0!4)) | (~greater(age(X!5, T0!4), eta))))))),
% 0.14/0.36 inference(quant_inst,[status(thm)],[])).
% 0.14/0.36 tff(139,plain,
% 0.14/0.36 (~((~organization(X!5)) | (~((~smaller_or_equal(age(X!5, T0!4), eta)) | has_immunity(X!5, T0!4))) | (~((~has_immunity(X!5, T0!4)) | (~greater(age(X!5, T0!4), eta)))))),
% 0.14/0.37 inference(unit_resolution,[status(thm)],[138, 39])).
% 0.14/0.37 tff(140,plain,
% 0.14/0.37 (((~organization(X!5)) | (~((~smaller_or_equal(age(X!5, T0!4), eta)) | has_immunity(X!5, T0!4))) | (~((~has_immunity(X!5, T0!4)) | (~greater(age(X!5, T0!4), eta))))) | ((~smaller_or_equal(age(X!5, T0!4), eta)) | has_immunity(X!5, T0!4))),
% 0.14/0.37 inference(tautology,[status(thm)],[])).
% 0.14/0.37 tff(141,plain,
% 0.14/0.37 ((~smaller_or_equal(age(X!5, T0!4), eta)) | has_immunity(X!5, T0!4)),
% 0.14/0.37 inference(unit_resolution,[status(thm)],[140, 139])).
% 0.14/0.37 tff(142,plain,
% 0.14/0.37 ((~((~smaller_or_equal(age(X!5, T0!4), eta)) | has_immunity(X!5, T0!4))) | (~smaller_or_equal(age(X!5, T0!4), eta)) | has_immunity(X!5, T0!4)),
% 0.14/0.37 inference(tautology,[status(thm)],[])).
% 0.14/0.37 tff(143,plain,
% 0.14/0.37 ((~smaller_or_equal(age(X!5, T0!4), eta)) | has_immunity(X!5, T0!4)),
% 0.14/0.37 inference(unit_resolution,[status(thm)],[142, 141])).
% 0.14/0.37 tff(144,plain,
% 0.14/0.37 (has_immunity(X!5, T0!4)),
% 0.14/0.37 inference(unit_resolution,[status(thm)],[143, 137])).
% 0.14/0.37 tff(145,plain,
% 0.14/0.37 ((~![T: $i] : (~((~organization(X!5)) | (~((~smaller_or_equal(age(X!5, T), eta)) | has_immunity(X!5, T))) | (~((~has_immunity(X!5, T)) | (~greater(age(X!5, T), eta))))))) | (~((~organization(X!5)) | (~((~smaller_or_equal(age(X!5, T3!1), eta)) | has_immunity(X!5, T3!1))) | (~((~has_immunity(X!5, T3!1)) | (~greater(age(X!5, T3!1), eta))))))),
% 0.14/0.37 inference(quant_inst,[status(thm)],[])).
% 0.14/0.37 tff(146,plain,
% 0.14/0.37 (~((~organization(X!5)) | (~((~smaller_or_equal(age(X!5, T3!1), eta)) | has_immunity(X!5, T3!1))) | (~((~has_immunity(X!5, T3!1)) | (~greater(age(X!5, T3!1), eta)))))),
% 0.14/0.37 inference(unit_resolution,[status(thm)],[145, 39])).
% 0.14/0.37 tff(147,plain,
% 0.14/0.37 (((~organization(X!5)) | (~((~smaller_or_equal(age(X!5, T3!1), eta)) | has_immunity(X!5, T3!1))) | (~((~has_immunity(X!5, T3!1)) | (~greater(age(X!5, T3!1), eta))))) | ((~has_immunity(X!5, T3!1)) | (~greater(age(X!5, T3!1), eta)))),
% 0.14/0.37 inference(tautology,[status(thm)],[])).
% 0.14/0.37 tff(148,plain,
% 0.14/0.37 ((~has_immunity(X!5, T3!1)) | (~greater(age(X!5, T3!1), eta))),
% 0.14/0.37 inference(unit_resolution,[status(thm)],[147, 146])).
% 0.14/0.37 tff(149,plain,
% 0.14/0.37 (greater(age(X!5, T3!1), age(X!5, T2!2))),
% 0.14/0.37 inference(and_elim,[status(thm)],[35])).
% 0.14/0.37 tff(150,plain,
% 0.14/0.37 (greater(age(X!5, T2!2), eta)),
% 0.14/0.37 inference(and_elim,[status(thm)],[35])).
% 0.14/0.37 tff(151,plain,
% 0.14/0.37 (((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | ((~greater(age(X!5, T2!2), eta)) | (~greater(age(X!5, T3!1), age(X!5, T2!2))) | greater(age(X!5, T3!1), eta))) <=> ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (~greater(age(X!5, T2!2), eta)) | (~greater(age(X!5, T3!1), age(X!5, T2!2))) | greater(age(X!5, T3!1), eta))),
% 0.14/0.37 inference(rewrite,[status(thm)],[])).
% 0.14/0.37 tff(152,plain,
% 0.14/0.37 ((greater(age(X!5, T3!1), eta) | (~greater(age(X!5, T2!2), eta)) | (~greater(age(X!5, T3!1), age(X!5, T2!2)))) <=> ((~greater(age(X!5, T2!2), eta)) | (~greater(age(X!5, T3!1), age(X!5, T2!2))) | greater(age(X!5, T3!1), eta))),
% 0.14/0.37 inference(rewrite,[status(thm)],[])).
% 0.14/0.37 tff(153,plain,
% 0.14/0.37 (((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (greater(age(X!5, T3!1), eta) | (~greater(age(X!5, T2!2), eta)) | (~greater(age(X!5, T3!1), age(X!5, T2!2))))) <=> ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | ((~greater(age(X!5, T2!2), eta)) | (~greater(age(X!5, T3!1), age(X!5, T2!2))) | greater(age(X!5, T3!1), eta)))),
% 0.14/0.37 inference(monotonicity,[status(thm)],[152])).
% 0.14/0.37 tff(154,plain,
% 0.14/0.37 (((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (greater(age(X!5, T3!1), eta) | (~greater(age(X!5, T2!2), eta)) | (~greater(age(X!5, T3!1), age(X!5, T2!2))))) <=> ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (~greater(age(X!5, T2!2), eta)) | (~greater(age(X!5, T3!1), age(X!5, T2!2))) | greater(age(X!5, T3!1), eta))),
% 0.14/0.37 inference(transitivity,[status(thm)],[153, 151])).
% 0.14/0.37 tff(155,plain,
% 0.14/0.37 ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (greater(age(X!5, T3!1), eta) | (~greater(age(X!5, T2!2), eta)) | (~greater(age(X!5, T3!1), age(X!5, T2!2))))),
% 0.14/0.37 inference(quant_inst,[status(thm)],[])).
% 0.14/0.37 tff(156,plain,
% 0.14/0.37 ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (~greater(age(X!5, T2!2), eta)) | (~greater(age(X!5, T3!1), age(X!5, T2!2))) | greater(age(X!5, T3!1), eta)),
% 0.14/0.37 inference(modus_ponens,[status(thm)],[155, 154])).
% 0.14/0.37 tff(157,plain,
% 0.14/0.37 (greater(age(X!5, T3!1), eta)),
% 0.14/0.37 inference(unit_resolution,[status(thm)],[156, 111, 150, 149])).
% 0.14/0.37 tff(158,plain,
% 0.14/0.37 ((~((~has_immunity(X!5, T3!1)) | (~greater(age(X!5, T3!1), eta)))) | (~has_immunity(X!5, T3!1)) | (~greater(age(X!5, T3!1), eta))),
% 0.14/0.37 inference(tautology,[status(thm)],[])).
% 0.14/0.37 tff(159,plain,
% 0.14/0.37 ((~((~has_immunity(X!5, T3!1)) | (~greater(age(X!5, T3!1), eta)))) | (~has_immunity(X!5, T3!1))),
% 0.14/0.37 inference(unit_resolution,[status(thm)],[158, 157])).
% 0.14/0.37 tff(160,plain,
% 0.14/0.37 (~has_immunity(X!5, T3!1)),
% 0.14/0.37 inference(unit_resolution,[status(thm)],[159, 148])).
% 0.14/0.37 tff(161,assumption,(~greater(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T1!3))), introduced(assumption)).
% 0.14/0.37 tff(162,plain,
% 0.14/0.37 (organization(X!5)),
% 0.14/0.37 inference(and_elim,[status(thm)],[35])).
% 0.14/0.37 tff(163,plain,
% 0.14/0.37 (^[X: $i, T0: $i, T: $i] : refl((has_immunity(X, T) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~has_immunity(X, T0)) | (~organization(X))) <=> (has_immunity(X, T) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~has_immunity(X, T0)) | (~organization(X))))),
% 0.14/0.37 inference(bind,[status(th)],[])).
% 0.14/0.37 tff(164,plain,
% 0.14/0.37 (![X: $i, T0: $i, T: $i] : (has_immunity(X, T) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~has_immunity(X, T0)) | (~organization(X))) <=> ![X: $i, T0: $i, T: $i] : (has_immunity(X, T) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~has_immunity(X, T0)) | (~organization(X)))),
% 0.14/0.37 inference(quant_intro,[status(thm)],[163])).
% 0.14/0.37 tff(165,plain,
% 0.14/0.37 (^[X: $i, T0: $i, T: $i] : trans(monotonicity(trans(monotonicity(rewrite((organization(X) & has_immunity(X, T0) & (~has_immunity(X, T))) <=> (~((~organization(X)) | (~has_immunity(X, T0)) | has_immunity(X, T)))), ((~(organization(X) & has_immunity(X, T0) & (~has_immunity(X, T)))) <=> (~(~((~organization(X)) | (~has_immunity(X, T0)) | has_immunity(X, T)))))), rewrite((~(~((~organization(X)) | (~has_immunity(X, T0)) | has_immunity(X, T)))) <=> ((~organization(X)) | (~has_immunity(X, T0)) | has_immunity(X, T))), ((~(organization(X) & has_immunity(X, T0) & (~has_immunity(X, T)))) <=> ((~organization(X)) | (~has_immunity(X, T0)) | has_immunity(X, T)))), (((~(organization(X) & has_immunity(X, T0) & (~has_immunity(X, T)))) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) <=> (((~organization(X)) | (~has_immunity(X, T0)) | has_immunity(X, T)) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))))), rewrite((((~organization(X)) | (~has_immunity(X, T0)) | has_immunity(X, T)) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) <=> (has_immunity(X, T) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~has_immunity(X, T0)) | (~organization(X)))), (((~(organization(X) & has_immunity(X, T0) & (~has_immunity(X, T)))) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) <=> (has_immunity(X, T) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~has_immunity(X, T0)) | (~organization(X)))))),
% 0.14/0.37 inference(bind,[status(th)],[])).
% 0.14/0.37 tff(166,plain,
% 0.14/0.37 (![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] : (has_immunity(X, T) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~has_immunity(X, T0)) | (~organization(X)))),
% 0.14/0.37 inference(quant_intro,[status(thm)],[165])).
% 0.14/0.37 tff(167,plain,
% 0.14/0.37 (![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)))),
% 0.14/0.37 inference(rewrite,[status(thm)],[])).
% 0.14/0.37 tff(168,plain,
% 0.14/0.37 (^[X: $i, T0: $i, T: $i] : trans(monotonicity(rewrite(((organization(X) & has_immunity(X, T0)) & (~has_immunity(X, T))) <=> (organization(X) & has_immunity(X, T0) & (~has_immunity(X, T)))), ((((organization(X) & has_immunity(X, T0)) & (~has_immunity(X, T))) => greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) <=> ((organization(X) & has_immunity(X, T0) & (~has_immunity(X, T))) => greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))))), rewrite(((organization(X) & has_immunity(X, T0) & (~has_immunity(X, T))) => greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) <=> ((~(organization(X) & has_immunity(X, T0) & (~has_immunity(X, T)))) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)))), ((((organization(X) & has_immunity(X, T0)) & (~has_immunity(X, T))) => greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) <=> ((~(organization(X) & has_immunity(X, T0) & (~has_immunity(X, T)))) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)))))),
% 0.14/0.37 inference(bind,[status(th)],[])).
% 0.14/0.37 tff(169,plain,
% 0.14/0.37 (![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)))),
% 0.14/0.37 inference(quant_intro,[status(thm)],[168])).
% 0.14/0.37 tff(170,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/sandbox2/benchmark/theBenchmark.p','assumption_3')).
% 0.14/0.37 tff(171,plain,
% 0.14/0.37 (![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)))),
% 0.14/0.37 inference(modus_ponens,[status(thm)],[170, 169])).
% 0.14/0.37 tff(172,plain,
% 0.14/0.37 (![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)))),
% 0.14/0.37 inference(modus_ponens,[status(thm)],[171, 167])).
% 0.14/0.37 tff(173,plain,(
% 0.14/0.37 ![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)))),
% 0.14/0.37 inference(skolemize,[status(sab)],[172])).
% 0.14/0.37 tff(174,plain,
% 0.14/0.37 (![X: $i, T0: $i, T: $i] : (has_immunity(X, T) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~has_immunity(X, T0)) | (~organization(X)))),
% 0.14/0.37 inference(modus_ponens,[status(thm)],[173, 166])).
% 0.14/0.37 tff(175,plain,
% 0.14/0.37 (![X: $i, T0: $i, T: $i] : (has_immunity(X, T) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~has_immunity(X, T0)) | (~organization(X)))),
% 0.14/0.37 inference(modus_ponens,[status(thm)],[174, 164])).
% 0.14/0.37 tff(176,plain,
% 0.14/0.37 (((~![X: $i, T0: $i, T: $i] : (has_immunity(X, T) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~has_immunity(X, T0)) | (~organization(X)))) | (greater(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T1!3)) | (~organization(X!5)) | (~has_immunity(X!5, T1!3)) | has_immunity(X!5, T3!1))) <=> ((~![X: $i, T0: $i, T: $i] : (has_immunity(X, T) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~has_immunity(X, T0)) | (~organization(X)))) | greater(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T1!3)) | (~organization(X!5)) | (~has_immunity(X!5, T1!3)) | has_immunity(X!5, T3!1))),
% 0.14/0.37 inference(rewrite,[status(thm)],[])).
% 0.14/0.37 tff(177,plain,
% 0.14/0.37 ((has_immunity(X!5, T3!1) | greater(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T1!3)) | (~has_immunity(X!5, T1!3)) | (~organization(X!5))) <=> (greater(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T1!3)) | (~organization(X!5)) | (~has_immunity(X!5, T1!3)) | has_immunity(X!5, T3!1))),
% 0.14/0.37 inference(rewrite,[status(thm)],[])).
% 0.14/0.37 tff(178,plain,
% 0.14/0.37 (((~![X: $i, T0: $i, T: $i] : (has_immunity(X, T) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~has_immunity(X, T0)) | (~organization(X)))) | (has_immunity(X!5, T3!1) | greater(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T1!3)) | (~has_immunity(X!5, T1!3)) | (~organization(X!5)))) <=> ((~![X: $i, T0: $i, T: $i] : (has_immunity(X, T) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~has_immunity(X, T0)) | (~organization(X)))) | (greater(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T1!3)) | (~organization(X!5)) | (~has_immunity(X!5, T1!3)) | has_immunity(X!5, T3!1)))),
% 0.14/0.37 inference(monotonicity,[status(thm)],[177])).
% 0.14/0.37 tff(179,plain,
% 0.14/0.37 (((~![X: $i, T0: $i, T: $i] : (has_immunity(X, T) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~has_immunity(X, T0)) | (~organization(X)))) | (has_immunity(X!5, T3!1) | greater(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T1!3)) | (~has_immunity(X!5, T1!3)) | (~organization(X!5)))) <=> ((~![X: $i, T0: $i, T: $i] : (has_immunity(X, T) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~has_immunity(X, T0)) | (~organization(X)))) | greater(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T1!3)) | (~organization(X!5)) | (~has_immunity(X!5, T1!3)) | has_immunity(X!5, T3!1))),
% 0.14/0.37 inference(transitivity,[status(thm)],[178, 176])).
% 0.14/0.37 tff(180,plain,
% 0.14/0.37 ((~![X: $i, T0: $i, T: $i] : (has_immunity(X, T) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~has_immunity(X, T0)) | (~organization(X)))) | (has_immunity(X!5, T3!1) | greater(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T1!3)) | (~has_immunity(X!5, T1!3)) | (~organization(X!5)))),
% 0.14/0.37 inference(quant_inst,[status(thm)],[])).
% 0.14/0.37 tff(181,plain,
% 0.14/0.37 ((~![X: $i, T0: $i, T: $i] : (has_immunity(X, T) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~has_immunity(X, T0)) | (~organization(X)))) | greater(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T1!3)) | (~organization(X!5)) | (~has_immunity(X!5, T1!3)) | has_immunity(X!5, T3!1)),
% 0.14/0.37 inference(modus_ponens,[status(thm)],[180, 179])).
% 0.14/0.37 tff(182,plain,
% 0.14/0.37 ($false),
% 0.14/0.37 inference(unit_resolution,[status(thm)],[181, 175, 162, 161, 47, 160])).
% 0.14/0.37 tff(183,plain,(greater(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T1!3))), inference(lemma,lemma(discharge,[]))).
% 0.14/0.37 tff(184,plain,
% 0.14/0.37 ((~![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))) | (smaller(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2)) <=> greater(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T3!1)))),
% 0.14/0.37 inference(quant_inst,[status(thm)],[])).
% 0.14/0.37 tff(185,plain,
% 0.14/0.37 (smaller(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2)) <=> greater(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T3!1))),
% 0.14/0.37 inference(unit_resolution,[status(thm)],[184, 54])).
% 0.14/0.37 tff(186,plain,
% 0.14/0.37 (^[X: $i, T0: $i, T: $i] : refl(((~organization(X)) | (internal_friction(X, T) = internal_friction(X, T0))) <=> ((~organization(X)) | (internal_friction(X, T) = internal_friction(X, T0))))),
% 0.14/0.37 inference(bind,[status(th)],[])).
% 0.14/0.37 tff(187,plain,
% 0.14/0.37 (![X: $i, T0: $i, T: $i] : ((~organization(X)) | (internal_friction(X, T) = internal_friction(X, T0))) <=> ![X: $i, T0: $i, T: $i] : ((~organization(X)) | (internal_friction(X, T) = internal_friction(X, T0)))),
% 0.14/0.37 inference(quant_intro,[status(thm)],[186])).
% 0.14/0.37 tff(188,plain,
% 0.14/0.37 (![X: $i, T0: $i, T: $i] : ((~organization(X)) | (internal_friction(X, T) = internal_friction(X, T0))) <=> ![X: $i, T0: $i, T: $i] : ((~organization(X)) | (internal_friction(X, T) = internal_friction(X, T0)))),
% 0.14/0.37 inference(rewrite,[status(thm)],[])).
% 0.14/0.37 tff(189,plain,
% 0.14/0.37 (^[X: $i, T0: $i, T: $i] : rewrite((organization(X) => (internal_friction(X, T) = internal_friction(X, T0))) <=> ((~organization(X)) | (internal_friction(X, T) = internal_friction(X, T0))))),
% 0.14/0.37 inference(bind,[status(th)],[])).
% 0.14/0.37 tff(190,plain,
% 0.14/0.37 (![X: $i, T0: $i, T: $i] : (organization(X) => (internal_friction(X, T) = internal_friction(X, T0))) <=> ![X: $i, T0: $i, T: $i] : ((~organization(X)) | (internal_friction(X, T) = internal_friction(X, T0)))),
% 0.14/0.37 inference(quant_intro,[status(thm)],[189])).
% 0.14/0.37 tff(191,axiom,(![X: $i, T0: $i, T: $i] : (organization(X) => (internal_friction(X, T) = internal_friction(X, T0)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','assumption_9')).
% 0.14/0.37 tff(192,plain,
% 0.14/0.37 (![X: $i, T0: $i, T: $i] : ((~organization(X)) | (internal_friction(X, T) = internal_friction(X, T0)))),
% 0.14/0.37 inference(modus_ponens,[status(thm)],[191, 190])).
% 0.14/0.37 tff(193,plain,
% 0.14/0.37 (![X: $i, T0: $i, T: $i] : ((~organization(X)) | (internal_friction(X, T) = internal_friction(X, T0)))),
% 0.14/0.37 inference(modus_ponens,[status(thm)],[192, 188])).
% 0.14/0.37 tff(194,plain,(
% 0.14/0.37 ![X: $i, T0: $i, T: $i] : ((~organization(X)) | (internal_friction(X, T) = internal_friction(X, T0)))),
% 0.14/0.37 inference(skolemize,[status(sab)],[193])).
% 0.14/0.37 tff(195,plain,
% 0.14/0.37 (![X: $i, T0: $i, T: $i] : ((~organization(X)) | (internal_friction(X, T) = internal_friction(X, T0)))),
% 0.14/0.37 inference(modus_ponens,[status(thm)],[194, 187])).
% 0.14/0.37 tff(196,plain,
% 0.14/0.37 (((~![X: $i, T0: $i, T: $i] : ((~organization(X)) | (internal_friction(X, T) = internal_friction(X, T0)))) | ((~organization(X!5)) | (internal_friction(X!5, T3!1) = internal_friction(X!5, T2!2)))) <=> ((~![X: $i, T0: $i, T: $i] : ((~organization(X)) | (internal_friction(X, T) = internal_friction(X, T0)))) | (~organization(X!5)) | (internal_friction(X!5, T3!1) = internal_friction(X!5, T2!2)))),
% 0.14/0.37 inference(rewrite,[status(thm)],[])).
% 0.14/0.37 tff(197,plain,
% 0.14/0.37 ((~![X: $i, T0: $i, T: $i] : ((~organization(X)) | (internal_friction(X, T) = internal_friction(X, T0)))) | ((~organization(X!5)) | (internal_friction(X!5, T3!1) = internal_friction(X!5, T2!2)))),
% 0.14/0.37 inference(quant_inst,[status(thm)],[])).
% 0.14/0.37 tff(198,plain,
% 0.14/0.37 ((~![X: $i, T0: $i, T: $i] : ((~organization(X)) | (internal_friction(X, T) = internal_friction(X, T0)))) | (~organization(X!5)) | (internal_friction(X!5, T3!1) = internal_friction(X!5, T2!2))),
% 0.14/0.37 inference(modus_ponens,[status(thm)],[197, 196])).
% 0.14/0.37 tff(199,plain,
% 0.14/0.37 (internal_friction(X!5, T3!1) = internal_friction(X!5, T2!2)),
% 0.14/0.37 inference(unit_resolution,[status(thm)],[198, 195, 162])).
% 0.14/0.37 tff(200,plain,
% 0.14/0.37 ((~![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))) | (smaller_or_equal(internal_friction(X!5, T3!1), internal_friction(X!5, T2!2)) <=> ((internal_friction(X!5, T3!1) = internal_friction(X!5, T2!2)) | smaller(internal_friction(X!5, T3!1), internal_friction(X!5, T2!2))))),
% 0.14/0.37 inference(quant_inst,[status(thm)],[])).
% 0.14/0.37 tff(201,plain,
% 0.14/0.37 (smaller_or_equal(internal_friction(X!5, T3!1), internal_friction(X!5, T2!2)) <=> ((internal_friction(X!5, T3!1) = internal_friction(X!5, T2!2)) | smaller(internal_friction(X!5, T3!1), internal_friction(X!5, T2!2)))),
% 0.14/0.37 inference(unit_resolution,[status(thm)],[200, 66])).
% 0.14/0.37 tff(202,assumption,(~smaller_or_equal(internal_friction(X!5, T3!1), internal_friction(X!5, T2!2))), introduced(assumption)).
% 0.14/0.37 tff(203,plain,
% 0.14/0.37 ((~(smaller_or_equal(internal_friction(X!5, T3!1), internal_friction(X!5, T2!2)) <=> ((internal_friction(X!5, T3!1) = internal_friction(X!5, T2!2)) | smaller(internal_friction(X!5, T3!1), internal_friction(X!5, T2!2))))) | smaller_or_equal(internal_friction(X!5, T3!1), internal_friction(X!5, T2!2)) | (~((internal_friction(X!5, T3!1) = internal_friction(X!5, T2!2)) | smaller(internal_friction(X!5, T3!1), internal_friction(X!5, T2!2))))),
% 0.14/0.37 inference(tautology,[status(thm)],[])).
% 0.14/0.37 tff(204,plain,
% 0.14/0.37 ((~(smaller_or_equal(internal_friction(X!5, T3!1), internal_friction(X!5, T2!2)) <=> ((internal_friction(X!5, T3!1) = internal_friction(X!5, T2!2)) | smaller(internal_friction(X!5, T3!1), internal_friction(X!5, T2!2))))) | (~((internal_friction(X!5, T3!1) = internal_friction(X!5, T2!2)) | smaller(internal_friction(X!5, T3!1), internal_friction(X!5, T2!2))))),
% 0.14/0.37 inference(unit_resolution,[status(thm)],[203, 202])).
% 0.14/0.37 tff(205,plain,
% 0.14/0.37 (~((internal_friction(X!5, T3!1) = internal_friction(X!5, T2!2)) | smaller(internal_friction(X!5, T3!1), internal_friction(X!5, T2!2)))),
% 0.14/0.37 inference(unit_resolution,[status(thm)],[204, 201])).
% 0.14/0.37 tff(206,plain,
% 0.14/0.37 (((internal_friction(X!5, T3!1) = internal_friction(X!5, T2!2)) | smaller(internal_friction(X!5, T3!1), internal_friction(X!5, T2!2))) | (~(internal_friction(X!5, T3!1) = internal_friction(X!5, T2!2)))),
% 0.14/0.37 inference(tautology,[status(thm)],[])).
% 0.14/0.37 tff(207,plain,
% 0.14/0.37 ($false),
% 0.14/0.37 inference(unit_resolution,[status(thm)],[206, 205, 199])).
% 0.14/0.37 tff(208,plain,(smaller_or_equal(internal_friction(X!5, T3!1), internal_friction(X!5, T2!2))), inference(lemma,lemma(discharge,[]))).
% 0.14/0.37 tff(209,plain,
% 0.14/0.37 (^[X: $i, T0: $i, T: $i] : refl(((~organization(X)) | (~((~(greater(capability(X, T), capability(X, T0)) | (~greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))) | (~smaller_or_equal(internal_friction(X, T), internal_friction(X, T0))))) | (~(smaller(capability(X, T), capability(X, T0)) | (~smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))) | (~greater(internal_friction(X, T), internal_friction(X, T0))))) | (~((capability(X, T) = capability(X, T0)) | (~(stock_of_knowledge(X, T) = stock_of_knowledge(X, T0))) | (~(internal_friction(X, T) = internal_friction(X, T0)))))))) <=> ((~organization(X)) | (~((~(greater(capability(X, T), capability(X, T0)) | (~greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))) | (~smaller_or_equal(internal_friction(X, T), internal_friction(X, T0))))) | (~(smaller(capability(X, T), capability(X, T0)) | (~smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))) | (~greater(internal_friction(X, T), internal_friction(X, T0))))) | (~((capability(X, T) = capability(X, T0)) | (~(stock_of_knowledge(X, T) = stock_of_knowledge(X, T0))) | (~(internal_friction(X, T) = internal_friction(X, T0)))))))))),
% 0.14/0.37 inference(bind,[status(th)],[])).
% 0.14/0.37 tff(210,plain,
% 0.14/0.37 (![X: $i, T0: $i, T: $i] : ((~organization(X)) | (~((~(greater(capability(X, T), capability(X, T0)) | (~greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))) | (~smaller_or_equal(internal_friction(X, T), internal_friction(X, T0))))) | (~(smaller(capability(X, T), capability(X, T0)) | (~smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))) | (~greater(internal_friction(X, T), internal_friction(X, T0))))) | (~((capability(X, T) = capability(X, T0)) | (~(stock_of_knowledge(X, T) = stock_of_knowledge(X, T0))) | (~(internal_friction(X, T) = internal_friction(X, T0)))))))) <=> ![X: $i, T0: $i, T: $i] : ((~organization(X)) | (~((~(greater(capability(X, T), capability(X, T0)) | (~greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))) | (~smaller_or_equal(internal_friction(X, T), internal_friction(X, T0))))) | (~(smaller(capability(X, T), capability(X, T0)) | (~smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))) | (~greater(internal_friction(X, T), internal_friction(X, T0))))) | (~((capability(X, T) = capability(X, T0)) | (~(stock_of_knowledge(X, T) = stock_of_knowledge(X, T0))) | (~(internal_friction(X, T) = internal_friction(X, T0))))))))),
% 0.14/0.37 inference(quant_intro,[status(thm)],[209])).
% 0.14/0.37 tff(211,plain,
% 0.14/0.37 (^[X: $i, T0: $i, T: $i] : rewrite(((~organization(X)) | (((~(greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & smaller_or_equal(internal_friction(X, T), internal_friction(X, T0)))) | greater(capability(X, T), capability(X, T0))) & ((~(smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & greater(internal_friction(X, T), internal_friction(X, T0)))) | smaller(capability(X, T), capability(X, T0))) & ((~((stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)) & (internal_friction(X, T) = internal_friction(X, T0)))) | (capability(X, T) = capability(X, T0))))) <=> ((~organization(X)) | (~((~(greater(capability(X, T), capability(X, T0)) | (~greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))) | (~smaller_or_equal(internal_friction(X, T), internal_friction(X, T0))))) | (~(smaller(capability(X, T), capability(X, T0)) | (~smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))) | (~greater(internal_friction(X, T), internal_friction(X, T0))))) | (~((capability(X, T) = capability(X, T0)) | (~(stock_of_knowledge(X, T) = stock_of_knowledge(X, T0))) | (~(internal_friction(X, T) = internal_friction(X, T0)))))))))),
% 0.14/0.37 inference(bind,[status(th)],[])).
% 0.14/0.37 tff(212,plain,
% 0.14/0.37 (![X: $i, T0: $i, T: $i] : ((~organization(X)) | (((~(greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & smaller_or_equal(internal_friction(X, T), internal_friction(X, T0)))) | greater(capability(X, T), capability(X, T0))) & ((~(smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & greater(internal_friction(X, T), internal_friction(X, T0)))) | smaller(capability(X, T), capability(X, T0))) & ((~((stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)) & (internal_friction(X, T) = internal_friction(X, T0)))) | (capability(X, T) = capability(X, T0))))) <=> ![X: $i, T0: $i, T: $i] : ((~organization(X)) | (~((~(greater(capability(X, T), capability(X, T0)) | (~greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))) | (~smaller_or_equal(internal_friction(X, T), internal_friction(X, T0))))) | (~(smaller(capability(X, T), capability(X, T0)) | (~smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))) | (~greater(internal_friction(X, T), internal_friction(X, T0))))) | (~((capability(X, T) = capability(X, T0)) | (~(stock_of_knowledge(X, T) = stock_of_knowledge(X, T0))) | (~(internal_friction(X, T) = internal_friction(X, T0))))))))),
% 0.14/0.37 inference(quant_intro,[status(thm)],[211])).
% 0.14/0.37 tff(213,plain,
% 0.14/0.37 (![X: $i, T0: $i, T: $i] : ((~organization(X)) | (((~(greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & smaller_or_equal(internal_friction(X, T), internal_friction(X, T0)))) | greater(capability(X, T), capability(X, T0))) & ((~(smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & greater(internal_friction(X, T), internal_friction(X, T0)))) | smaller(capability(X, T), capability(X, T0))) & ((~((stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)) & (internal_friction(X, T) = internal_friction(X, T0)))) | (capability(X, T) = capability(X, T0))))) <=> ![X: $i, T0: $i, T: $i] : ((~organization(X)) | (((~(greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & smaller_or_equal(internal_friction(X, T), internal_friction(X, T0)))) | greater(capability(X, T), capability(X, T0))) & ((~(smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & greater(internal_friction(X, T), internal_friction(X, T0)))) | smaller(capability(X, T), capability(X, T0))) & ((~((stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)) & (internal_friction(X, T) = internal_friction(X, T0)))) | (capability(X, T) = capability(X, T0)))))),
% 0.14/0.37 inference(rewrite,[status(thm)],[])).
% 0.14/0.37 tff(214,plain,
% 0.14/0.37 (^[X: $i, T0: $i, T: $i] : trans(monotonicity(trans(monotonicity(rewrite((((greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & smaller_or_equal(internal_friction(X, T), internal_friction(X, T0))) => greater(capability(X, T), capability(X, T0))) & ((smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & greater(internal_friction(X, T), internal_friction(X, T0))) => smaller(capability(X, T), capability(X, T0)))) <=> (((~(greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & smaller_or_equal(internal_friction(X, T), internal_friction(X, T0)))) | greater(capability(X, T), capability(X, T0))) & ((~(smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & greater(internal_friction(X, T), internal_friction(X, T0)))) | smaller(capability(X, T), capability(X, T0))))), rewrite((((stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)) & (internal_friction(X, T) = internal_friction(X, T0))) => (capability(X, T) = capability(X, T0))) <=> ((~((stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)) & (internal_friction(X, T) = internal_friction(X, T0)))) | (capability(X, T) = capability(X, T0)))), (((((greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & smaller_or_equal(internal_friction(X, T), internal_friction(X, T0))) => greater(capability(X, T), capability(X, T0))) & ((smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & greater(internal_friction(X, T), internal_friction(X, T0))) => smaller(capability(X, T), capability(X, T0)))) & (((stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)) & (internal_friction(X, T) = internal_friction(X, T0))) => (capability(X, T) = capability(X, T0)))) <=> ((((~(greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & smaller_or_equal(internal_friction(X, T), internal_friction(X, T0)))) | greater(capability(X, T), capability(X, T0))) & ((~(smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & greater(internal_friction(X, T), internal_friction(X, T0)))) | smaller(capability(X, T), capability(X, T0)))) & ((~((stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)) & (internal_friction(X, T) = internal_friction(X, T0)))) | (capability(X, T) = capability(X, T0)))))), rewrite(((((~(greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & smaller_or_equal(internal_friction(X, T), internal_friction(X, T0)))) | greater(capability(X, T), capability(X, T0))) & ((~(smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & greater(internal_friction(X, T), internal_friction(X, T0)))) | smaller(capability(X, T), capability(X, T0)))) & ((~((stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)) & (internal_friction(X, T) = internal_friction(X, T0)))) | (capability(X, T) = capability(X, T0)))) <=> (((~(greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & smaller_or_equal(internal_friction(X, T), internal_friction(X, T0)))) | greater(capability(X, T), capability(X, T0))) & ((~(smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & greater(internal_friction(X, T), internal_friction(X, T0)))) | smaller(capability(X, T), capability(X, T0))) & ((~((stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)) & (internal_friction(X, T) = internal_friction(X, T0)))) | (capability(X, T) = capability(X, T0))))), (((((greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & smaller_or_equal(internal_friction(X, T), internal_friction(X, T0))) => greater(capability(X, T), capability(X, T0))) & ((smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & greater(internal_friction(X, T), internal_friction(X, T0))) => smaller(capability(X, T), capability(X, T0)))) & (((stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)) & (internal_friction(X, T) = internal_friction(X, T0))) => (capability(X, T) = capability(X, T0)))) <=> (((~(greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & smaller_or_equal(internal_friction(X, T), internal_friction(X, T0)))) | greater(capability(X, T), capability(X, T0))) & ((~(smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & greater(internal_friction(X, T), internal_friction(X, T0)))) | smaller(capability(X, T), capability(X, T0))) & ((~((stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)) & (internal_friction(X, T) = internal_friction(X, T0)))) | (capability(X, T) = capability(X, T0)))))), ((organization(X) => ((((greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & smaller_or_equal(internal_friction(X, T), internal_friction(X, T0))) => greater(capability(X, T), capability(X, T0))) & ((smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & greater(internal_friction(X, T), internal_friction(X, T0))) => smaller(capability(X, T), capability(X, T0)))) & (((stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)) & (internal_friction(X, T) = internal_friction(X, T0))) => (capability(X, T) = capability(X, T0))))) <=> (organization(X) => (((~(greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & smaller_or_equal(internal_friction(X, T), internal_friction(X, T0)))) | greater(capability(X, T), capability(X, T0))) & ((~(smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & greater(internal_friction(X, T), internal_friction(X, T0)))) | smaller(capability(X, T), capability(X, T0))) & ((~((stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)) & (internal_friction(X, T) = internal_friction(X, T0)))) | (capability(X, T) = capability(X, T0))))))), rewrite((organization(X) => (((~(greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & smaller_or_equal(internal_friction(X, T), internal_friction(X, T0)))) | greater(capability(X, T), capability(X, T0))) & ((~(smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & greater(internal_friction(X, T), internal_friction(X, T0)))) | smaller(capability(X, T), capability(X, T0))) & ((~((stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)) & (internal_friction(X, T) = internal_friction(X, T0)))) | (capability(X, T) = capability(X, T0))))) <=> ((~organization(X)) | (((~(greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & smaller_or_equal(internal_friction(X, T), internal_friction(X, T0)))) | greater(capability(X, T), capability(X, T0))) & ((~(smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & greater(internal_friction(X, T), internal_friction(X, T0)))) | smaller(capability(X, T), capability(X, T0))) & ((~((stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)) & (internal_friction(X, T) = internal_friction(X, T0)))) | (capability(X, T) = capability(X, T0)))))), ((organization(X) => ((((greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & smaller_or_equal(internal_friction(X, T), internal_friction(X, T0))) => greater(capability(X, T), capability(X, T0))) & ((smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & greater(internal_friction(X, T), internal_friction(X, T0))) => smaller(capability(X, T), capability(X, T0)))) & (((stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)) & (internal_friction(X, T) = internal_friction(X, T0))) => (capability(X, T) = capability(X, T0))))) <=> ((~organization(X)) | (((~(greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & smaller_or_equal(internal_friction(X, T), internal_friction(X, T0)))) | greater(capability(X, T), capability(X, T0))) & ((~(smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & greater(internal_friction(X, T), internal_friction(X, T0)))) | smaller(capability(X, T), capability(X, T0))) & ((~((stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)) & (internal_friction(X, T) = internal_friction(X, T0)))) | (capability(X, T) = capability(X, T0)))))))),
% 0.14/0.38 inference(bind,[status(th)],[])).
% 0.14/0.38 tff(215,plain,
% 0.14/0.38 (![X: $i, T0: $i, T: $i] : (organization(X) => ((((greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & smaller_or_equal(internal_friction(X, T), internal_friction(X, T0))) => greater(capability(X, T), capability(X, T0))) & ((smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & greater(internal_friction(X, T), internal_friction(X, T0))) => smaller(capability(X, T), capability(X, T0)))) & (((stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)) & (internal_friction(X, T) = internal_friction(X, T0))) => (capability(X, T) = capability(X, T0))))) <=> ![X: $i, T0: $i, T: $i] : ((~organization(X)) | (((~(greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & smaller_or_equal(internal_friction(X, T), internal_friction(X, T0)))) | greater(capability(X, T), capability(X, T0))) & ((~(smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & greater(internal_friction(X, T), internal_friction(X, T0)))) | smaller(capability(X, T), capability(X, T0))) & ((~((stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)) & (internal_friction(X, T) = internal_friction(X, T0)))) | (capability(X, T) = capability(X, T0)))))),
% 0.14/0.38 inference(quant_intro,[status(thm)],[214])).
% 0.14/0.38 tff(216,axiom,(![X: $i, T0: $i, T: $i] : (organization(X) => ((((greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & smaller_or_equal(internal_friction(X, T), internal_friction(X, T0))) => greater(capability(X, T), capability(X, T0))) & ((smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & greater(internal_friction(X, T), internal_friction(X, T0))) => smaller(capability(X, T), capability(X, T0)))) & (((stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)) & (internal_friction(X, T) = internal_friction(X, T0))) => (capability(X, T) = capability(X, T0)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','assumption_5')).
% 0.14/0.38 tff(217,plain,
% 0.14/0.38 (![X: $i, T0: $i, T: $i] : ((~organization(X)) | (((~(greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & smaller_or_equal(internal_friction(X, T), internal_friction(X, T0)))) | greater(capability(X, T), capability(X, T0))) & ((~(smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & greater(internal_friction(X, T), internal_friction(X, T0)))) | smaller(capability(X, T), capability(X, T0))) & ((~((stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)) & (internal_friction(X, T) = internal_friction(X, T0)))) | (capability(X, T) = capability(X, T0)))))),
% 0.14/0.38 inference(modus_ponens,[status(thm)],[216, 215])).
% 0.14/0.38 tff(218,plain,
% 0.14/0.38 (![X: $i, T0: $i, T: $i] : ((~organization(X)) | (((~(greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & smaller_or_equal(internal_friction(X, T), internal_friction(X, T0)))) | greater(capability(X, T), capability(X, T0))) & ((~(smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & greater(internal_friction(X, T), internal_friction(X, T0)))) | smaller(capability(X, T), capability(X, T0))) & ((~((stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)) & (internal_friction(X, T) = internal_friction(X, T0)))) | (capability(X, T) = capability(X, T0)))))),
% 0.14/0.38 inference(modus_ponens,[status(thm)],[217, 213])).
% 0.14/0.38 tff(219,plain,(
% 0.14/0.38 ![X: $i, T0: $i, T: $i] : ((~organization(X)) | (((~(greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & smaller_or_equal(internal_friction(X, T), internal_friction(X, T0)))) | greater(capability(X, T), capability(X, T0))) & ((~(smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & greater(internal_friction(X, T), internal_friction(X, T0)))) | smaller(capability(X, T), capability(X, T0))) & ((~((stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)) & (internal_friction(X, T) = internal_friction(X, T0)))) | (capability(X, T) = capability(X, T0)))))),
% 0.14/0.38 inference(skolemize,[status(sab)],[218])).
% 0.14/0.38 tff(220,plain,
% 0.14/0.38 (![X: $i, T0: $i, T: $i] : ((~organization(X)) | (~((~(greater(capability(X, T), capability(X, T0)) | (~greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))) | (~smaller_or_equal(internal_friction(X, T), internal_friction(X, T0))))) | (~(smaller(capability(X, T), capability(X, T0)) | (~smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))) | (~greater(internal_friction(X, T), internal_friction(X, T0))))) | (~((capability(X, T) = capability(X, T0)) | (~(stock_of_knowledge(X, T) = stock_of_knowledge(X, T0))) | (~(internal_friction(X, T) = internal_friction(X, T0))))))))),
% 0.14/0.38 inference(modus_ponens,[status(thm)],[219, 212])).
% 0.14/0.38 tff(221,plain,
% 0.14/0.38 (![X: $i, T0: $i, T: $i] : ((~organization(X)) | (~((~(greater(capability(X, T), capability(X, T0)) | (~greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))) | (~smaller_or_equal(internal_friction(X, T), internal_friction(X, T0))))) | (~(smaller(capability(X, T), capability(X, T0)) | (~smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))) | (~greater(internal_friction(X, T), internal_friction(X, T0))))) | (~((capability(X, T) = capability(X, T0)) | (~(stock_of_knowledge(X, T) = stock_of_knowledge(X, T0))) | (~(internal_friction(X, T) = internal_friction(X, T0))))))))),
% 0.14/0.38 inference(modus_ponens,[status(thm)],[220, 210])).
% 0.14/0.38 tff(222,plain,
% 0.14/0.38 (((~![X: $i, T0: $i, T: $i] : ((~organization(X)) | (~((~(greater(capability(X, T), capability(X, T0)) | (~greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))) | (~smaller_or_equal(internal_friction(X, T), internal_friction(X, T0))))) | (~(smaller(capability(X, T), capability(X, T0)) | (~smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))) | (~greater(internal_friction(X, T), internal_friction(X, T0))))) | (~((capability(X, T) = capability(X, T0)) | (~(stock_of_knowledge(X, T) = stock_of_knowledge(X, T0))) | (~(internal_friction(X, T) = internal_friction(X, T0))))))))) | ((~organization(X!5)) | (~((~(greater(capability(X!5, T3!1), capability(X!5, T2!2)) | (~greater(stock_of_knowledge(X!5, T3!1), stock_of_knowledge(X!5, T2!2))) | (~smaller_or_equal(internal_friction(X!5, T3!1), internal_friction(X!5, T2!2))))) | (~(smaller(capability(X!5, T3!1), capability(X!5, T2!2)) | (~smaller_or_equal(stock_of_knowledge(X!5, T3!1), stock_of_knowledge(X!5, T2!2))) | (~greater(internal_friction(X!5, T3!1), internal_friction(X!5, T2!2))))) | (~((capability(X!5, T3!1) = capability(X!5, T2!2)) | (~(stock_of_knowledge(X!5, T3!1) = stock_of_knowledge(X!5, T2!2))) | (~(internal_friction(X!5, T3!1) = internal_friction(X!5, T2!2))))))))) <=> ((~![X: $i, T0: $i, T: $i] : ((~organization(X)) | (~((~(greater(capability(X, T), capability(X, T0)) | (~greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))) | (~smaller_or_equal(internal_friction(X, T), internal_friction(X, T0))))) | (~(smaller(capability(X, T), capability(X, T0)) | (~smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))) | (~greater(internal_friction(X, T), internal_friction(X, T0))))) | (~((capability(X, T) = capability(X, T0)) | (~(stock_of_knowledge(X, T) = stock_of_knowledge(X, T0))) | (~(internal_friction(X, T) = internal_friction(X, T0))))))))) | (~organization(X!5)) | (~((~(greater(capability(X!5, T3!1), capability(X!5, T2!2)) | (~greater(stock_of_knowledge(X!5, T3!1), stock_of_knowledge(X!5, T2!2))) | (~smaller_or_equal(internal_friction(X!5, T3!1), internal_friction(X!5, T2!2))))) | (~(smaller(capability(X!5, T3!1), capability(X!5, T2!2)) | (~smaller_or_equal(stock_of_knowledge(X!5, T3!1), stock_of_knowledge(X!5, T2!2))) | (~greater(internal_friction(X!5, T3!1), internal_friction(X!5, T2!2))))) | (~((capability(X!5, T3!1) = capability(X!5, T2!2)) | (~(stock_of_knowledge(X!5, T3!1) = stock_of_knowledge(X!5, T2!2))) | (~(internal_friction(X!5, T3!1) = internal_friction(X!5, T2!2))))))))),
% 0.14/0.38 inference(rewrite,[status(thm)],[])).
% 0.14/0.38 tff(223,plain,
% 0.14/0.38 ((~![X: $i, T0: $i, T: $i] : ((~organization(X)) | (~((~(greater(capability(X, T), capability(X, T0)) | (~greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))) | (~smaller_or_equal(internal_friction(X, T), internal_friction(X, T0))))) | (~(smaller(capability(X, T), capability(X, T0)) | (~smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))) | (~greater(internal_friction(X, T), internal_friction(X, T0))))) | (~((capability(X, T) = capability(X, T0)) | (~(stock_of_knowledge(X, T) = stock_of_knowledge(X, T0))) | (~(internal_friction(X, T) = internal_friction(X, T0))))))))) | ((~organization(X!5)) | (~((~(greater(capability(X!5, T3!1), capability(X!5, T2!2)) | (~greater(stock_of_knowledge(X!5, T3!1), stock_of_knowledge(X!5, T2!2))) | (~smaller_or_equal(internal_friction(X!5, T3!1), internal_friction(X!5, T2!2))))) | (~(smaller(capability(X!5, T3!1), capability(X!5, T2!2)) | (~smaller_or_equal(stock_of_knowledge(X!5, T3!1), stock_of_knowledge(X!5, T2!2))) | (~greater(internal_friction(X!5, T3!1), internal_friction(X!5, T2!2))))) | (~((capability(X!5, T3!1) = capability(X!5, T2!2)) | (~(stock_of_knowledge(X!5, T3!1) = stock_of_knowledge(X!5, T2!2))) | (~(internal_friction(X!5, T3!1) = internal_friction(X!5, T2!2))))))))),
% 0.14/0.38 inference(quant_inst,[status(thm)],[])).
% 0.14/0.38 tff(224,plain,
% 0.14/0.38 ((~![X: $i, T0: $i, T: $i] : ((~organization(X)) | (~((~(greater(capability(X, T), capability(X, T0)) | (~greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))) | (~smaller_or_equal(internal_friction(X, T), internal_friction(X, T0))))) | (~(smaller(capability(X, T), capability(X, T0)) | (~smaller_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))) | (~greater(internal_friction(X, T), internal_friction(X, T0))))) | (~((capability(X, T) = capability(X, T0)) | (~(stock_of_knowledge(X, T) = stock_of_knowledge(X, T0))) | (~(internal_friction(X, T) = internal_friction(X, T0))))))))) | (~organization(X!5)) | (~((~(greater(capability(X!5, T3!1), capability(X!5, T2!2)) | (~greater(stock_of_knowledge(X!5, T3!1), stock_of_knowledge(X!5, T2!2))) | (~smaller_or_equal(internal_friction(X!5, T3!1), internal_friction(X!5, T2!2))))) | (~(smaller(capability(X!5, T3!1), capability(X!5, T2!2)) | (~smaller_or_equal(stock_of_knowledge(X!5, T3!1), stock_of_knowledge(X!5, T2!2))) | (~greater(internal_friction(X!5, T3!1), internal_friction(X!5, T2!2))))) | (~((capability(X!5, T3!1) = capability(X!5, T2!2)) | (~(stock_of_knowledge(X!5, T3!1) = stock_of_knowledge(X!5, T2!2))) | (~(internal_friction(X!5, T3!1) = internal_friction(X!5, T2!2)))))))),
% 0.14/0.38 inference(modus_ponens,[status(thm)],[223, 222])).
% 0.14/0.38 tff(225,plain,
% 0.14/0.38 (~((~(greater(capability(X!5, T3!1), capability(X!5, T2!2)) | (~greater(stock_of_knowledge(X!5, T3!1), stock_of_knowledge(X!5, T2!2))) | (~smaller_or_equal(internal_friction(X!5, T3!1), internal_friction(X!5, T2!2))))) | (~(smaller(capability(X!5, T3!1), capability(X!5, T2!2)) | (~smaller_or_equal(stock_of_knowledge(X!5, T3!1), stock_of_knowledge(X!5, T2!2))) | (~greater(internal_friction(X!5, T3!1), internal_friction(X!5, T2!2))))) | (~((capability(X!5, T3!1) = capability(X!5, T2!2)) | (~(stock_of_knowledge(X!5, T3!1) = stock_of_knowledge(X!5, T2!2))) | (~(internal_friction(X!5, T3!1) = internal_friction(X!5, T2!2))))))),
% 0.14/0.38 inference(unit_resolution,[status(thm)],[224, 221, 162])).
% 0.14/0.38 tff(226,plain,
% 0.14/0.38 (((~(greater(capability(X!5, T3!1), capability(X!5, T2!2)) | (~greater(stock_of_knowledge(X!5, T3!1), stock_of_knowledge(X!5, T2!2))) | (~smaller_or_equal(internal_friction(X!5, T3!1), internal_friction(X!5, T2!2))))) | (~(smaller(capability(X!5, T3!1), capability(X!5, T2!2)) | (~smaller_or_equal(stock_of_knowledge(X!5, T3!1), stock_of_knowledge(X!5, T2!2))) | (~greater(internal_friction(X!5, T3!1), internal_friction(X!5, T2!2))))) | (~((capability(X!5, T3!1) = capability(X!5, T2!2)) | (~(stock_of_knowledge(X!5, T3!1) = stock_of_knowledge(X!5, T2!2))) | (~(internal_friction(X!5, T3!1) = internal_friction(X!5, T2!2)))))) | (greater(capability(X!5, T3!1), capability(X!5, T2!2)) | (~greater(stock_of_knowledge(X!5, T3!1), stock_of_knowledge(X!5, T2!2))) | (~smaller_or_equal(internal_friction(X!5, T3!1), internal_friction(X!5, T2!2))))),
% 0.14/0.38 inference(tautology,[status(thm)],[])).
% 0.14/0.38 tff(227,plain,
% 0.14/0.38 (greater(capability(X!5, T3!1), capability(X!5, T2!2)) | (~greater(stock_of_knowledge(X!5, T3!1), stock_of_knowledge(X!5, T2!2))) | (~smaller_or_equal(internal_friction(X!5, T3!1), internal_friction(X!5, T2!2)))),
% 0.14/0.38 inference(unit_resolution,[status(thm)],[226, 225])).
% 0.14/0.38 tff(228,plain,
% 0.14/0.38 (^[X: $i, T0: $i, T: $i] : refl((greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0)))) <=> (greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0)))))),
% 0.14/0.38 inference(bind,[status(th)],[])).
% 0.14/0.38 tff(229,plain,
% 0.14/0.38 (![X: $i, T0: $i, T: $i] : (greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0)))) <=> ![X: $i, T0: $i, T: $i] : (greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0))))),
% 0.14/0.38 inference(quant_intro,[status(thm)],[228])).
% 0.14/0.38 tff(230,plain,
% 0.14/0.38 (^[X: $i, T0: $i, T: $i] : trans(monotonicity(trans(monotonicity(rewrite((organization(X) & greater(age(X, T), age(X, T0))) <=> (~((~organization(X)) | (~greater(age(X, T), age(X, T0)))))), ((~(organization(X) & greater(age(X, T), age(X, T0)))) <=> (~(~((~organization(X)) | (~greater(age(X, T), age(X, T0)))))))), rewrite((~(~((~organization(X)) | (~greater(age(X, T), age(X, T0)))))) <=> ((~organization(X)) | (~greater(age(X, T), age(X, T0))))), ((~(organization(X) & greater(age(X, T), age(X, T0)))) <=> ((~organization(X)) | (~greater(age(X, T), age(X, T0)))))), (((~(organization(X) & greater(age(X, T), age(X, T0)))) | greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))) <=> (((~organization(X)) | (~greater(age(X, T), age(X, T0)))) | greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))))), rewrite((((~organization(X)) | (~greater(age(X, T), age(X, T0)))) | greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))) <=> (greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0))))), (((~(organization(X) & greater(age(X, T), age(X, T0)))) | greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))) <=> (greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0))))))),
% 0.14/0.38 inference(bind,[status(th)],[])).
% 0.14/0.38 tff(231,plain,
% 0.14/0.38 (![X: $i, T0: $i, T: $i] : ((~(organization(X) & greater(age(X, T), age(X, T0)))) | greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))) <=> ![X: $i, T0: $i, T: $i] : (greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0))))),
% 0.14/0.38 inference(quant_intro,[status(thm)],[230])).
% 0.14/0.38 tff(232,plain,
% 0.14/0.38 (![X: $i, T0: $i, T: $i] : ((~(organization(X) & greater(age(X, T), age(X, T0)))) | greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))) <=> ![X: $i, T0: $i, T: $i] : ((~(organization(X) & greater(age(X, T), age(X, T0)))) | greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)))),
% 0.14/0.38 inference(rewrite,[status(thm)],[])).
% 0.14/0.38 tff(233,plain,
% 0.14/0.38 (^[X: $i, T0: $i, T: $i] : rewrite(((organization(X) & greater(age(X, T), age(X, T0))) => greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))) <=> ((~(organization(X) & greater(age(X, T), age(X, T0)))) | greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))))),
% 0.14/0.38 inference(bind,[status(th)],[])).
% 0.14/0.38 tff(234,plain,
% 0.14/0.38 (![X: $i, T0: $i, T: $i] : ((organization(X) & greater(age(X, T), age(X, T0))) => greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0))) <=> ![X: $i, T0: $i, T: $i] : ((~(organization(X) & greater(age(X, T), age(X, T0)))) | greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)))),
% 0.14/0.38 inference(quant_intro,[status(thm)],[233])).
% 0.14/0.38 tff(235,axiom,(![X: $i, T0: $i, T: $i] : ((organization(X) & greater(age(X, T), age(X, T0))) => greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','assumption_7')).
% 0.14/0.38 tff(236,plain,
% 0.14/0.38 (![X: $i, T0: $i, T: $i] : ((~(organization(X) & greater(age(X, T), age(X, T0)))) | greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)))),
% 0.14/0.38 inference(modus_ponens,[status(thm)],[235, 234])).
% 0.14/0.38 tff(237,plain,
% 0.14/0.38 (![X: $i, T0: $i, T: $i] : ((~(organization(X) & greater(age(X, T), age(X, T0)))) | greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)))),
% 0.14/0.38 inference(modus_ponens,[status(thm)],[236, 232])).
% 0.14/0.38 tff(238,plain,(
% 0.14/0.38 ![X: $i, T0: $i, T: $i] : ((~(organization(X) & greater(age(X, T), age(X, T0)))) | greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)))),
% 0.14/0.38 inference(skolemize,[status(sab)],[237])).
% 0.14/0.38 tff(239,plain,
% 0.14/0.38 (![X: $i, T0: $i, T: $i] : (greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0))))),
% 0.14/0.38 inference(modus_ponens,[status(thm)],[238, 231])).
% 0.14/0.38 tff(240,plain,
% 0.14/0.38 (![X: $i, T0: $i, T: $i] : (greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0))))),
% 0.14/0.38 inference(modus_ponens,[status(thm)],[239, 229])).
% 0.14/0.38 tff(241,plain,
% 0.14/0.38 (((~![X: $i, T0: $i, T: $i] : (greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0))))) | (greater(stock_of_knowledge(X!5, T3!1), stock_of_knowledge(X!5, T2!2)) | (~organization(X!5)) | (~greater(age(X!5, T3!1), age(X!5, T2!2))))) <=> ((~![X: $i, T0: $i, T: $i] : (greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0))))) | greater(stock_of_knowledge(X!5, T3!1), stock_of_knowledge(X!5, T2!2)) | (~organization(X!5)) | (~greater(age(X!5, T3!1), age(X!5, T2!2))))),
% 0.14/0.38 inference(rewrite,[status(thm)],[])).
% 0.14/0.38 tff(242,plain,
% 0.14/0.38 ((~![X: $i, T0: $i, T: $i] : (greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0))))) | (greater(stock_of_knowledge(X!5, T3!1), stock_of_knowledge(X!5, T2!2)) | (~organization(X!5)) | (~greater(age(X!5, T3!1), age(X!5, T2!2))))),
% 0.14/0.39 inference(quant_inst,[status(thm)],[])).
% 0.14/0.39 tff(243,plain,
% 0.14/0.39 ((~![X: $i, T0: $i, T: $i] : (greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0))))) | greater(stock_of_knowledge(X!5, T3!1), stock_of_knowledge(X!5, T2!2)) | (~organization(X!5)) | (~greater(age(X!5, T3!1), age(X!5, T2!2)))),
% 0.14/0.39 inference(modus_ponens,[status(thm)],[242, 241])).
% 0.14/0.39 tff(244,plain,
% 0.14/0.39 (greater(stock_of_knowledge(X!5, T3!1), stock_of_knowledge(X!5, T2!2))),
% 0.14/0.39 inference(unit_resolution,[status(thm)],[243, 240, 162, 149])).
% 0.14/0.39 tff(245,plain,
% 0.14/0.39 ((~(greater(capability(X!5, T3!1), capability(X!5, T2!2)) | (~greater(stock_of_knowledge(X!5, T3!1), stock_of_knowledge(X!5, T2!2))) | (~smaller_or_equal(internal_friction(X!5, T3!1), internal_friction(X!5, T2!2))))) | greater(capability(X!5, T3!1), capability(X!5, T2!2)) | (~greater(stock_of_knowledge(X!5, T3!1), stock_of_knowledge(X!5, T2!2))) | (~smaller_or_equal(internal_friction(X!5, T3!1), internal_friction(X!5, T2!2)))),
% 0.14/0.39 inference(tautology,[status(thm)],[])).
% 0.14/0.39 tff(246,plain,
% 0.14/0.39 ((~(greater(capability(X!5, T3!1), capability(X!5, T2!2)) | (~greater(stock_of_knowledge(X!5, T3!1), stock_of_knowledge(X!5, T2!2))) | (~smaller_or_equal(internal_friction(X!5, T3!1), internal_friction(X!5, T2!2))))) | greater(capability(X!5, T3!1), capability(X!5, T2!2)) | (~smaller_or_equal(internal_friction(X!5, T3!1), internal_friction(X!5, T2!2)))),
% 0.14/0.39 inference(unit_resolution,[status(thm)],[245, 244])).
% 0.14/0.39 tff(247,plain,
% 0.14/0.39 (greater(capability(X!5, T3!1), capability(X!5, T2!2)) | (~smaller_or_equal(internal_friction(X!5, T3!1), internal_friction(X!5, T2!2)))),
% 0.14/0.39 inference(unit_resolution,[status(thm)],[246, 227])).
% 0.14/0.39 tff(248,plain,
% 0.14/0.39 (greater(capability(X!5, T3!1), capability(X!5, T2!2))),
% 0.14/0.39 inference(unit_resolution,[status(thm)],[247, 208])).
% 0.14/0.39 tff(249,plain,
% 0.14/0.39 ((~![T: $i] : (~((~organization(X!5)) | (~((~smaller_or_equal(age(X!5, T), eta)) | has_immunity(X!5, T))) | (~((~has_immunity(X!5, T)) | (~greater(age(X!5, T), eta))))))) | (~((~organization(X!5)) | (~((~smaller_or_equal(age(X!5, T2!2), eta)) | has_immunity(X!5, T2!2))) | (~((~has_immunity(X!5, T2!2)) | (~greater(age(X!5, T2!2), eta))))))),
% 0.14/0.39 inference(quant_inst,[status(thm)],[])).
% 0.14/0.39 tff(250,plain,
% 0.14/0.39 (~((~organization(X!5)) | (~((~smaller_or_equal(age(X!5, T2!2), eta)) | has_immunity(X!5, T2!2))) | (~((~has_immunity(X!5, T2!2)) | (~greater(age(X!5, T2!2), eta)))))),
% 0.14/0.39 inference(unit_resolution,[status(thm)],[249, 39])).
% 0.14/0.39 tff(251,plain,
% 0.14/0.39 (((~organization(X!5)) | (~((~smaller_or_equal(age(X!5, T2!2), eta)) | has_immunity(X!5, T2!2))) | (~((~has_immunity(X!5, T2!2)) | (~greater(age(X!5, T2!2), eta))))) | ((~has_immunity(X!5, T2!2)) | (~greater(age(X!5, T2!2), eta)))),
% 0.14/0.39 inference(tautology,[status(thm)],[])).
% 0.14/0.39 tff(252,plain,
% 0.14/0.39 ((~has_immunity(X!5, T2!2)) | (~greater(age(X!5, T2!2), eta))),
% 0.14/0.39 inference(unit_resolution,[status(thm)],[251, 250])).
% 0.14/0.39 tff(253,plain,
% 0.14/0.39 ((~((~has_immunity(X!5, T2!2)) | (~greater(age(X!5, T2!2), eta)))) | (~has_immunity(X!5, T2!2)) | (~greater(age(X!5, T2!2), eta))),
% 0.14/0.39 inference(tautology,[status(thm)],[])).
% 0.14/0.39 tff(254,plain,
% 0.14/0.39 ((~((~has_immunity(X!5, T2!2)) | (~greater(age(X!5, T2!2), eta)))) | (~has_immunity(X!5, T2!2))),
% 0.14/0.39 inference(unit_resolution,[status(thm)],[253, 150])).
% 0.14/0.39 tff(255,plain,
% 0.14/0.39 (~has_immunity(X!5, T2!2)),
% 0.14/0.39 inference(unit_resolution,[status(thm)],[254, 252])).
% 0.14/0.39 tff(256,plain,
% 0.14/0.39 (^[X: $i, T0: $i, T: $i] : refl((has_immunity(X, T) | has_immunity(X, T0) | (~organization(X)) | (~((~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater(capability(X, T), capability(X, T0))) | (~greater_or_equal(position(X, T), position(X, T0))))) | (~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater_or_equal(capability(X, T), capability(X, T0))) | (~greater(position(X, T), position(X, T0))))) | (~((hazard_of_mortality(X, T) = hazard_of_mortality(X, T0)) | (~(capability(X, T) = capability(X, T0))) | (~(position(X, T) = position(X, T0)))))))) <=> (has_immunity(X, T) | has_immunity(X, T0) | (~organization(X)) | (~((~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater(capability(X, T), capability(X, T0))) | (~greater_or_equal(position(X, T), position(X, T0))))) | (~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater_or_equal(capability(X, T), capability(X, T0))) | (~greater(position(X, T), position(X, T0))))) | (~((hazard_of_mortality(X, T) = hazard_of_mortality(X, T0)) | (~(capability(X, T) = capability(X, T0))) | (~(position(X, T) = position(X, T0)))))))))),
% 0.14/0.39 inference(bind,[status(th)],[])).
% 0.14/0.39 tff(257,plain,
% 0.14/0.39 (![X: $i, T0: $i, T: $i] : (has_immunity(X, T) | has_immunity(X, T0) | (~organization(X)) | (~((~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater(capability(X, T), capability(X, T0))) | (~greater_or_equal(position(X, T), position(X, T0))))) | (~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater_or_equal(capability(X, T), capability(X, T0))) | (~greater(position(X, T), position(X, T0))))) | (~((hazard_of_mortality(X, T) = hazard_of_mortality(X, T0)) | (~(capability(X, T) = capability(X, T0))) | (~(position(X, T) = position(X, T0)))))))) <=> ![X: $i, T0: $i, T: $i] : (has_immunity(X, T) | has_immunity(X, T0) | (~organization(X)) | (~((~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater(capability(X, T), capability(X, T0))) | (~greater_or_equal(position(X, T), position(X, T0))))) | (~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater_or_equal(capability(X, T), capability(X, T0))) | (~greater(position(X, T), position(X, T0))))) | (~((hazard_of_mortality(X, T) = hazard_of_mortality(X, T0)) | (~(capability(X, T) = capability(X, T0))) | (~(position(X, T) = position(X, T0))))))))),
% 0.14/0.39 inference(quant_intro,[status(thm)],[256])).
% 0.14/0.39 tff(258,plain,
% 0.14/0.39 (^[X: $i, T0: $i, T: $i] : trans(monotonicity(trans(monotonicity(rewrite((organization(X) & (~has_immunity(X, T0)) & (~has_immunity(X, T))) <=> (~(has_immunity(X, T) | has_immunity(X, T0) | (~organization(X))))), ((~(organization(X) & (~has_immunity(X, T0)) & (~has_immunity(X, T)))) <=> (~(~(has_immunity(X, T) | has_immunity(X, T0) | (~organization(X))))))), rewrite((~(~(has_immunity(X, T) | has_immunity(X, T0) | (~organization(X))))) <=> (has_immunity(X, T) | has_immunity(X, T0) | (~organization(X)))), ((~(organization(X) & (~has_immunity(X, T0)) & (~has_immunity(X, T)))) <=> (has_immunity(X, T) | has_immunity(X, T0) | (~organization(X))))), trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((greater(capability(X, T), capability(X, T0)) & greater_or_equal(position(X, T), position(X, T0))) <=> (~((~greater(capability(X, T), capability(X, T0))) | (~greater_or_equal(position(X, T), position(X, T0)))))), ((~(greater(capability(X, T), capability(X, T0)) & greater_or_equal(position(X, T), position(X, T0)))) <=> (~(~((~greater(capability(X, T), capability(X, T0))) | (~greater_or_equal(position(X, T), position(X, T0)))))))), rewrite((~(~((~greater(capability(X, T), capability(X, T0))) | (~greater_or_equal(position(X, T), position(X, T0)))))) <=> ((~greater(capability(X, T), capability(X, T0))) | (~greater_or_equal(position(X, T), position(X, T0))))), ((~(greater(capability(X, T), capability(X, T0)) & greater_or_equal(position(X, T), position(X, T0)))) <=> ((~greater(capability(X, T), capability(X, T0))) | (~greater_or_equal(position(X, T), position(X, T0)))))), (((~(greater(capability(X, T), capability(X, T0)) & greater_or_equal(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) <=> (((~greater(capability(X, T), capability(X, T0))) | (~greater_or_equal(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))))), rewrite((((~greater(capability(X, T), capability(X, T0))) | (~greater_or_equal(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) <=> (smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater(capability(X, T), capability(X, T0))) | (~greater_or_equal(position(X, T), position(X, T0))))), (((~(greater(capability(X, T), capability(X, T0)) & greater_or_equal(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) <=> (smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater(capability(X, T), capability(X, T0))) | (~greater_or_equal(position(X, T), position(X, T0)))))), trans(monotonicity(trans(monotonicity(rewrite((greater_or_equal(capability(X, T), capability(X, T0)) & greater(position(X, T), position(X, T0))) <=> (~((~greater_or_equal(capability(X, T), capability(X, T0))) | (~greater(position(X, T), position(X, T0)))))), ((~(greater_or_equal(capability(X, T), capability(X, T0)) & greater(position(X, T), position(X, T0)))) <=> (~(~((~greater_or_equal(capability(X, T), capability(X, T0))) | (~greater(position(X, T), position(X, T0)))))))), rewrite((~(~((~greater_or_equal(capability(X, T), capability(X, T0))) | (~greater(position(X, T), position(X, T0)))))) <=> ((~greater_or_equal(capability(X, T), capability(X, T0))) | (~greater(position(X, T), position(X, T0))))), ((~(greater_or_equal(capability(X, T), capability(X, T0)) & greater(position(X, T), position(X, T0)))) <=> ((~greater_or_equal(capability(X, T), capability(X, T0))) | (~greater(position(X, T), position(X, T0)))))), (((~(greater_or_equal(capability(X, T), capability(X, T0)) & greater(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) <=> (((~greater_or_equal(capability(X, T), capability(X, T0))) | (~greater(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))))), rewrite((((~greater_or_equal(capability(X, T), capability(X, T0))) | (~greater(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) <=> (smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater_or_equal(capability(X, T), capability(X, T0))) | (~greater(position(X, T), position(X, T0))))), (((~(greater_or_equal(capability(X, T), capability(X, T0)) & greater(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) <=> (smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater_or_equal(capability(X, T), capability(X, T0))) | (~greater(position(X, T), position(X, T0)))))), trans(monotonicity(trans(monotonicity(rewrite(((capability(X, T) = capability(X, T0)) & (position(X, T) = position(X, T0))) <=> (~((~(capability(X, T) = capability(X, T0))) | (~(position(X, T) = position(X, T0)))))), ((~((capability(X, T) = capability(X, T0)) & (position(X, T) = position(X, T0)))) <=> (~(~((~(capability(X, T) = capability(X, T0))) | (~(position(X, T) = position(X, T0)))))))), rewrite((~(~((~(capability(X, T) = capability(X, T0))) | (~(position(X, T) = position(X, T0)))))) <=> ((~(capability(X, T) = capability(X, T0))) | (~(position(X, T) = position(X, T0))))), ((~((capability(X, T) = capability(X, T0)) & (position(X, T) = position(X, T0)))) <=> ((~(capability(X, T) = capability(X, T0))) | (~(position(X, T) = position(X, T0)))))), (((~((capability(X, T) = capability(X, T0)) & (position(X, T) = position(X, T0)))) | (hazard_of_mortality(X, T) = hazard_of_mortality(X, T0))) <=> (((~(capability(X, T) = capability(X, T0))) | (~(position(X, T) = position(X, T0)))) | (hazard_of_mortality(X, T) = hazard_of_mortality(X, T0))))), rewrite((((~(capability(X, T) = capability(X, T0))) | (~(position(X, T) = position(X, T0)))) | (hazard_of_mortality(X, T) = hazard_of_mortality(X, T0))) <=> ((hazard_of_mortality(X, T) = hazard_of_mortality(X, T0)) | (~(capability(X, T) = capability(X, T0))) | (~(position(X, T) = position(X, T0))))), (((~((capability(X, T) = capability(X, T0)) & (position(X, T) = position(X, T0)))) | (hazard_of_mortality(X, T) = hazard_of_mortality(X, T0))) <=> ((hazard_of_mortality(X, T) = hazard_of_mortality(X, T0)) | (~(capability(X, T) = capability(X, T0))) | (~(position(X, T) = position(X, T0)))))), ((((~(greater(capability(X, T), capability(X, T0)) & greater_or_equal(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & ((~(greater_or_equal(capability(X, T), capability(X, T0)) & greater(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & ((~((capability(X, T) = capability(X, T0)) & (position(X, T) = position(X, T0)))) | (hazard_of_mortality(X, T) = hazard_of_mortality(X, T0)))) <=> ((smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater(capability(X, T), capability(X, T0))) | (~greater_or_equal(position(X, T), position(X, T0)))) & (smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater_or_equal(capability(X, T), capability(X, T0))) | (~greater(position(X, T), position(X, T0)))) & ((hazard_of_mortality(X, T) = hazard_of_mortality(X, T0)) | (~(capability(X, T) = capability(X, T0))) | (~(position(X, T) = position(X, T0))))))), rewrite(((smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater(capability(X, T), capability(X, T0))) | (~greater_or_equal(position(X, T), position(X, T0)))) & (smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater_or_equal(capability(X, T), capability(X, T0))) | (~greater(position(X, T), position(X, T0)))) & ((hazard_of_mortality(X, T) = hazard_of_mortality(X, T0)) | (~(capability(X, T) = capability(X, T0))) | (~(position(X, T) = position(X, T0))))) <=> (~((~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater(capability(X, T), capability(X, T0))) | (~greater_or_equal(position(X, T), position(X, T0))))) | (~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater_or_equal(capability(X, T), capability(X, T0))) | (~greater(position(X, T), position(X, T0))))) | (~((hazard_of_mortality(X, T) = hazard_of_mortality(X, T0)) | (~(capability(X, T) = capability(X, T0))) | (~(position(X, T) = position(X, T0)))))))), ((((~(greater(capability(X, T), capability(X, T0)) & greater_or_equal(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & ((~(greater_or_equal(capability(X, T), capability(X, T0)) & greater(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & ((~((capability(X, T) = capability(X, T0)) & (position(X, T) = position(X, T0)))) | (hazard_of_mortality(X, T) = hazard_of_mortality(X, T0)))) <=> (~((~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater(capability(X, T), capability(X, T0))) | (~greater_or_equal(position(X, T), position(X, T0))))) | (~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater_or_equal(capability(X, T), capability(X, T0))) | (~greater(position(X, T), position(X, T0))))) | (~((hazard_of_mortality(X, T) = hazard_of_mortality(X, T0)) | (~(capability(X, T) = capability(X, T0))) | (~(position(X, T) = position(X, T0))))))))), (((~(organization(X) & (~has_immunity(X, T0)) & (~has_immunity(X, T)))) | (((~(greater(capability(X, T), capability(X, T0)) & greater_or_equal(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & ((~(greater_or_equal(capability(X, T), capability(X, T0)) & greater(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & ((~((capability(X, T) = capability(X, T0)) & (position(X, T) = position(X, T0)))) | (hazard_of_mortality(X, T) = hazard_of_mortality(X, T0))))) <=> ((has_immunity(X, T) | has_immunity(X, T0) | (~organization(X))) | (~((~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater(capability(X, T), capability(X, T0))) | (~greater_or_equal(position(X, T), position(X, T0))))) | (~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater_or_equal(capability(X, T), capability(X, T0))) | (~greater(position(X, T), position(X, T0))))) | (~((hazard_of_mortality(X, T) = hazard_of_mortality(X, T0)) | (~(capability(X, T) = capability(X, T0))) | (~(position(X, T) = position(X, T0)))))))))), rewrite(((has_immunity(X, T) | has_immunity(X, T0) | (~organization(X))) | (~((~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater(capability(X, T), capability(X, T0))) | (~greater_or_equal(position(X, T), position(X, T0))))) | (~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater_or_equal(capability(X, T), capability(X, T0))) | (~greater(position(X, T), position(X, T0))))) | (~((hazard_of_mortality(X, T) = hazard_of_mortality(X, T0)) | (~(capability(X, T) = capability(X, T0))) | (~(position(X, T) = position(X, T0)))))))) <=> (has_immunity(X, T) | has_immunity(X, T0) | (~organization(X)) | (~((~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater(capability(X, T), capability(X, T0))) | (~greater_or_equal(position(X, T), position(X, T0))))) | (~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater_or_equal(capability(X, T), capability(X, T0))) | (~greater(position(X, T), position(X, T0))))) | (~((hazard_of_mortality(X, T) = hazard_of_mortality(X, T0)) | (~(capability(X, T) = capability(X, T0))) | (~(position(X, T) = position(X, T0))))))))), (((~(organization(X) & (~has_immunity(X, T0)) & (~has_immunity(X, T)))) | (((~(greater(capability(X, T), capability(X, T0)) & greater_or_equal(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & ((~(greater_or_equal(capability(X, T), capability(X, T0)) & greater(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & ((~((capability(X, T) = capability(X, T0)) & (position(X, T) = position(X, T0)))) | (hazard_of_mortality(X, T) = hazard_of_mortality(X, T0))))) <=> (has_immunity(X, T) | has_immunity(X, T0) | (~organization(X)) | (~((~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater(capability(X, T), capability(X, T0))) | (~greater_or_equal(position(X, T), position(X, T0))))) | (~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater_or_equal(capability(X, T), capability(X, T0))) | (~greater(position(X, T), position(X, T0))))) | (~((hazard_of_mortality(X, T) = hazard_of_mortality(X, T0)) | (~(capability(X, T) = capability(X, T0))) | (~(position(X, T) = position(X, T0))))))))))),
% 0.14/0.39 inference(bind,[status(th)],[])).
% 0.14/0.39 tff(259,plain,
% 0.14/0.39 (![X: $i, T0: $i, T: $i] : ((~(organization(X) & (~has_immunity(X, T0)) & (~has_immunity(X, T)))) | (((~(greater(capability(X, T), capability(X, T0)) & greater_or_equal(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & ((~(greater_or_equal(capability(X, T), capability(X, T0)) & greater(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & ((~((capability(X, T) = capability(X, T0)) & (position(X, T) = position(X, T0)))) | (hazard_of_mortality(X, T) = hazard_of_mortality(X, T0))))) <=> ![X: $i, T0: $i, T: $i] : (has_immunity(X, T) | has_immunity(X, T0) | (~organization(X)) | (~((~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater(capability(X, T), capability(X, T0))) | (~greater_or_equal(position(X, T), position(X, T0))))) | (~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater_or_equal(capability(X, T), capability(X, T0))) | (~greater(position(X, T), position(X, T0))))) | (~((hazard_of_mortality(X, T) = hazard_of_mortality(X, T0)) | (~(capability(X, T) = capability(X, T0))) | (~(position(X, T) = position(X, T0))))))))),
% 0.14/0.39 inference(quant_intro,[status(thm)],[258])).
% 0.14/0.39 tff(260,plain,
% 0.14/0.39 (![X: $i, T0: $i, T: $i] : ((~(organization(X) & (~has_immunity(X, T0)) & (~has_immunity(X, T)))) | (((~(greater(capability(X, T), capability(X, T0)) & greater_or_equal(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & ((~(greater_or_equal(capability(X, T), capability(X, T0)) & greater(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & ((~((capability(X, T) = capability(X, T0)) & (position(X, T) = position(X, T0)))) | (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(capability(X, T), capability(X, T0)) & greater_or_equal(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & ((~(greater_or_equal(capability(X, T), capability(X, T0)) & greater(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & ((~((capability(X, T) = capability(X, T0)) & (position(X, T) = position(X, T0)))) | (hazard_of_mortality(X, T) = hazard_of_mortality(X, T0)))))),
% 0.14/0.39 inference(rewrite,[status(thm)],[])).
% 0.14/0.39 tff(261,plain,
% 0.14/0.39 (^[X: $i, T0: $i, T: $i] : trans(monotonicity(rewrite(((organization(X) & (~has_immunity(X, T0))) & (~has_immunity(X, T))) <=> (organization(X) & (~has_immunity(X, T0)) & (~has_immunity(X, T)))), trans(monotonicity(rewrite((((greater(capability(X, T), capability(X, T0)) & greater_or_equal(position(X, T), position(X, T0))) => smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & ((greater_or_equal(capability(X, T), capability(X, T0)) & greater(position(X, T), position(X, T0))) => smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)))) <=> (((~(greater(capability(X, T), capability(X, T0)) & greater_or_equal(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & ((~(greater_or_equal(capability(X, T), capability(X, T0)) & greater(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))))), rewrite((((capability(X, T) = capability(X, T0)) & (position(X, T) = position(X, T0))) => (hazard_of_mortality(X, T) = hazard_of_mortality(X, T0))) <=> ((~((capability(X, T) = capability(X, T0)) & (position(X, T) = position(X, T0)))) | (hazard_of_mortality(X, T) = hazard_of_mortality(X, T0)))), (((((greater(capability(X, T), capability(X, T0)) & greater_or_equal(position(X, T), position(X, T0))) => smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & ((greater_or_equal(capability(X, T), capability(X, T0)) & greater(position(X, T), position(X, T0))) => smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)))) & (((capability(X, T) = capability(X, T0)) & (position(X, T) = position(X, T0))) => (hazard_of_mortality(X, T) = hazard_of_mortality(X, T0)))) <=> ((((~(greater(capability(X, T), capability(X, T0)) & greater_or_equal(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & ((~(greater_or_equal(capability(X, T), capability(X, T0)) & greater(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)))) & ((~((capability(X, T) = capability(X, T0)) & (position(X, T) = position(X, T0)))) | (hazard_of_mortality(X, T) = hazard_of_mortality(X, T0)))))), rewrite(((((~(greater(capability(X, T), capability(X, T0)) & greater_or_equal(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & ((~(greater_or_equal(capability(X, T), capability(X, T0)) & greater(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)))) & ((~((capability(X, T) = capability(X, T0)) & (position(X, T) = position(X, T0)))) | (hazard_of_mortality(X, T) = hazard_of_mortality(X, T0)))) <=> (((~(greater(capability(X, T), capability(X, T0)) & greater_or_equal(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & ((~(greater_or_equal(capability(X, T), capability(X, T0)) & greater(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & ((~((capability(X, T) = capability(X, T0)) & (position(X, T) = position(X, T0)))) | (hazard_of_mortality(X, T) = hazard_of_mortality(X, T0))))), (((((greater(capability(X, T), capability(X, T0)) & greater_or_equal(position(X, T), position(X, T0))) => smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & ((greater_or_equal(capability(X, T), capability(X, T0)) & greater(position(X, T), position(X, T0))) => smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)))) & (((capability(X, T) = capability(X, T0)) & (position(X, T) = position(X, T0))) => (hazard_of_mortality(X, T) = hazard_of_mortality(X, T0)))) <=> (((~(greater(capability(X, T), capability(X, T0)) & greater_or_equal(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & ((~(greater_or_equal(capability(X, T), capability(X, T0)) & greater(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & ((~((capability(X, T) = capability(X, T0)) & (position(X, T) = position(X, T0)))) | (hazard_of_mortality(X, T) = hazard_of_mortality(X, T0)))))), ((((organization(X) & (~has_immunity(X, T0))) & (~has_immunity(X, T))) => ((((greater(capability(X, T), capability(X, T0)) & greater_or_equal(position(X, T), position(X, T0))) => smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & ((greater_or_equal(capability(X, T), capability(X, T0)) & greater(position(X, T), position(X, T0))) => smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)))) & (((capability(X, T) = capability(X, T0)) & (position(X, T) = position(X, T0))) => (hazard_of_mortality(X, T) = hazard_of_mortality(X, T0))))) <=> ((organization(X) & (~has_immunity(X, T0)) & (~has_immunity(X, T))) => (((~(greater(capability(X, T), capability(X, T0)) & greater_or_equal(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & ((~(greater_or_equal(capability(X, T), capability(X, T0)) & greater(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & ((~((capability(X, T) = capability(X, T0)) & (position(X, T) = position(X, T0)))) | (hazard_of_mortality(X, T) = hazard_of_mortality(X, T0))))))), rewrite(((organization(X) & (~has_immunity(X, T0)) & (~has_immunity(X, T))) => (((~(greater(capability(X, T), capability(X, T0)) & greater_or_equal(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & ((~(greater_or_equal(capability(X, T), capability(X, T0)) & greater(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & ((~((capability(X, T) = capability(X, T0)) & (position(X, T) = position(X, T0)))) | (hazard_of_mortality(X, T) = hazard_of_mortality(X, T0))))) <=> ((~(organization(X) & (~has_immunity(X, T0)) & (~has_immunity(X, T)))) | (((~(greater(capability(X, T), capability(X, T0)) & greater_or_equal(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & ((~(greater_or_equal(capability(X, T), capability(X, T0)) & greater(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & ((~((capability(X, T) = capability(X, T0)) & (position(X, T) = position(X, T0)))) | (hazard_of_mortality(X, T) = hazard_of_mortality(X, T0)))))), ((((organization(X) & (~has_immunity(X, T0))) & (~has_immunity(X, T))) => ((((greater(capability(X, T), capability(X, T0)) & greater_or_equal(position(X, T), position(X, T0))) => smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & ((greater_or_equal(capability(X, T), capability(X, T0)) & greater(position(X, T), position(X, T0))) => smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)))) & (((capability(X, T) = capability(X, T0)) & (position(X, T) = position(X, T0))) => (hazard_of_mortality(X, T) = hazard_of_mortality(X, T0))))) <=> ((~(organization(X) & (~has_immunity(X, T0)) & (~has_immunity(X, T)))) | (((~(greater(capability(X, T), capability(X, T0)) & greater_or_equal(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & ((~(greater_or_equal(capability(X, T), capability(X, T0)) & greater(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & ((~((capability(X, T) = capability(X, T0)) & (position(X, T) = position(X, T0)))) | (hazard_of_mortality(X, T) = hazard_of_mortality(X, T0)))))))),
% 0.14/0.39 inference(bind,[status(th)],[])).
% 0.14/0.39 tff(262,plain,
% 0.14/0.39 (![X: $i, T0: $i, T: $i] : (((organization(X) & (~has_immunity(X, T0))) & (~has_immunity(X, T))) => ((((greater(capability(X, T), capability(X, T0)) & greater_or_equal(position(X, T), position(X, T0))) => smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & ((greater_or_equal(capability(X, T), capability(X, T0)) & greater(position(X, T), position(X, T0))) => smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)))) & (((capability(X, T) = capability(X, T0)) & (position(X, T) = position(X, T0))) => (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(capability(X, T), capability(X, T0)) & greater_or_equal(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & ((~(greater_or_equal(capability(X, T), capability(X, T0)) & greater(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & ((~((capability(X, T) = capability(X, T0)) & (position(X, T) = position(X, T0)))) | (hazard_of_mortality(X, T) = hazard_of_mortality(X, T0)))))),
% 0.14/0.39 inference(quant_intro,[status(thm)],[261])).
% 0.14/0.39 tff(263,axiom,(![X: $i, T0: $i, T: $i] : (((organization(X) & (~has_immunity(X, T0))) & (~has_immunity(X, T))) => ((((greater(capability(X, T), capability(X, T0)) & greater_or_equal(position(X, T), position(X, T0))) => smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & ((greater_or_equal(capability(X, T), capability(X, T0)) & greater(position(X, T), position(X, T0))) => smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)))) & (((capability(X, T) = capability(X, T0)) & (position(X, T) = position(X, T0))) => (hazard_of_mortality(X, T) = hazard_of_mortality(X, T0)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','assumption_4')).
% 0.14/0.39 tff(264,plain,
% 0.14/0.39 (![X: $i, T0: $i, T: $i] : ((~(organization(X) & (~has_immunity(X, T0)) & (~has_immunity(X, T)))) | (((~(greater(capability(X, T), capability(X, T0)) & greater_or_equal(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & ((~(greater_or_equal(capability(X, T), capability(X, T0)) & greater(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & ((~((capability(X, T) = capability(X, T0)) & (position(X, T) = position(X, T0)))) | (hazard_of_mortality(X, T) = hazard_of_mortality(X, T0)))))),
% 0.14/0.39 inference(modus_ponens,[status(thm)],[263, 262])).
% 0.14/0.39 tff(265,plain,
% 0.14/0.39 (![X: $i, T0: $i, T: $i] : ((~(organization(X) & (~has_immunity(X, T0)) & (~has_immunity(X, T)))) | (((~(greater(capability(X, T), capability(X, T0)) & greater_or_equal(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & ((~(greater_or_equal(capability(X, T), capability(X, T0)) & greater(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & ((~((capability(X, T) = capability(X, T0)) & (position(X, T) = position(X, T0)))) | (hazard_of_mortality(X, T) = hazard_of_mortality(X, T0)))))),
% 0.14/0.39 inference(modus_ponens,[status(thm)],[264, 260])).
% 0.14/0.39 tff(266,plain,(
% 0.14/0.39 ![X: $i, T0: $i, T: $i] : ((~(organization(X) & (~has_immunity(X, T0)) & (~has_immunity(X, T)))) | (((~(greater(capability(X, T), capability(X, T0)) & greater_or_equal(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & ((~(greater_or_equal(capability(X, T), capability(X, T0)) & greater(position(X, T), position(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & ((~((capability(X, T) = capability(X, T0)) & (position(X, T) = position(X, T0)))) | (hazard_of_mortality(X, T) = hazard_of_mortality(X, T0)))))),
% 0.14/0.39 inference(skolemize,[status(sab)],[265])).
% 0.14/0.39 tff(267,plain,
% 0.14/0.39 (![X: $i, T0: $i, T: $i] : (has_immunity(X, T) | has_immunity(X, T0) | (~organization(X)) | (~((~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater(capability(X, T), capability(X, T0))) | (~greater_or_equal(position(X, T), position(X, T0))))) | (~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater_or_equal(capability(X, T), capability(X, T0))) | (~greater(position(X, T), position(X, T0))))) | (~((hazard_of_mortality(X, T) = hazard_of_mortality(X, T0)) | (~(capability(X, T) = capability(X, T0))) | (~(position(X, T) = position(X, T0))))))))),
% 0.14/0.39 inference(modus_ponens,[status(thm)],[266, 259])).
% 0.14/0.39 tff(268,plain,
% 0.14/0.39 (![X: $i, T0: $i, T: $i] : (has_immunity(X, T) | has_immunity(X, T0) | (~organization(X)) | (~((~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater(capability(X, T), capability(X, T0))) | (~greater_or_equal(position(X, T), position(X, T0))))) | (~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater_or_equal(capability(X, T), capability(X, T0))) | (~greater(position(X, T), position(X, T0))))) | (~((hazard_of_mortality(X, T) = hazard_of_mortality(X, T0)) | (~(capability(X, T) = capability(X, T0))) | (~(position(X, T) = position(X, T0))))))))),
% 0.14/0.39 inference(modus_ponens,[status(thm)],[267, 257])).
% 0.14/0.39 tff(269,plain,
% 0.14/0.39 (((~![X: $i, T0: $i, T: $i] : (has_immunity(X, T) | has_immunity(X, T0) | (~organization(X)) | (~((~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater(capability(X, T), capability(X, T0))) | (~greater_or_equal(position(X, T), position(X, T0))))) | (~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater_or_equal(capability(X, T), capability(X, T0))) | (~greater(position(X, T), position(X, T0))))) | (~((hazard_of_mortality(X, T) = hazard_of_mortality(X, T0)) | (~(capability(X, T) = capability(X, T0))) | (~(position(X, T) = position(X, T0))))))))) | ((~organization(X!5)) | has_immunity(X!5, T2!2) | has_immunity(X!5, T3!1) | (~((~((~greater(capability(X!5, T3!1), capability(X!5, T2!2))) | smaller(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2)) | (~greater_or_equal(position(X!5, T3!1), position(X!5, T2!2))))) | (~((~greater(position(X!5, T3!1), position(X!5, T2!2))) | smaller(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2)) | (~greater_or_equal(capability(X!5, T3!1), capability(X!5, T2!2))))) | (~((~(capability(X!5, T3!1) = capability(X!5, T2!2))) | (~(position(X!5, T3!1) = position(X!5, T2!2))) | (hazard_of_mortality(X!5, T3!1) = hazard_of_mortality(X!5, T2!2)))))))) <=> ((~![X: $i, T0: $i, T: $i] : (has_immunity(X, T) | has_immunity(X, T0) | (~organization(X)) | (~((~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater(capability(X, T), capability(X, T0))) | (~greater_or_equal(position(X, T), position(X, T0))))) | (~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater_or_equal(capability(X, T), capability(X, T0))) | (~greater(position(X, T), position(X, T0))))) | (~((hazard_of_mortality(X, T) = hazard_of_mortality(X, T0)) | (~(capability(X, T) = capability(X, T0))) | (~(position(X, T) = position(X, T0))))))))) | (~organization(X!5)) | has_immunity(X!5, T2!2) | has_immunity(X!5, T3!1) | (~((~((~greater(capability(X!5, T3!1), capability(X!5, T2!2))) | smaller(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2)) | (~greater_or_equal(position(X!5, T3!1), position(X!5, T2!2))))) | (~((~greater(position(X!5, T3!1), position(X!5, T2!2))) | smaller(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2)) | (~greater_or_equal(capability(X!5, T3!1), capability(X!5, T2!2))))) | (~((~(capability(X!5, T3!1) = capability(X!5, T2!2))) | (~(position(X!5, T3!1) = position(X!5, T2!2))) | (hazard_of_mortality(X!5, T3!1) = hazard_of_mortality(X!5, T2!2)))))))),
% 0.14/0.39 inference(rewrite,[status(thm)],[])).
% 0.14/0.39 tff(270,plain,
% 0.14/0.39 ((has_immunity(X!5, T3!1) | has_immunity(X!5, T2!2) | (~organization(X!5)) | (~((~((~greater(capability(X!5, T3!1), capability(X!5, T2!2))) | smaller(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2)) | (~greater_or_equal(position(X!5, T3!1), position(X!5, T2!2))))) | (~((~greater(position(X!5, T3!1), position(X!5, T2!2))) | smaller(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2)) | (~greater_or_equal(capability(X!5, T3!1), capability(X!5, T2!2))))) | (~((~(capability(X!5, T3!1) = capability(X!5, T2!2))) | (~(position(X!5, T3!1) = position(X!5, T2!2))) | (hazard_of_mortality(X!5, T3!1) = hazard_of_mortality(X!5, T2!2))))))) <=> ((~organization(X!5)) | has_immunity(X!5, T2!2) | has_immunity(X!5, T3!1) | (~((~((~greater(capability(X!5, T3!1), capability(X!5, T2!2))) | smaller(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2)) | (~greater_or_equal(position(X!5, T3!1), position(X!5, T2!2))))) | (~((~greater(position(X!5, T3!1), position(X!5, T2!2))) | smaller(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2)) | (~greater_or_equal(capability(X!5, T3!1), capability(X!5, T2!2))))) | (~((~(capability(X!5, T3!1) = capability(X!5, T2!2))) | (~(position(X!5, T3!1) = position(X!5, T2!2))) | (hazard_of_mortality(X!5, T3!1) = hazard_of_mortality(X!5, T2!2)))))))),
% 0.14/0.40 inference(rewrite,[status(thm)],[])).
% 0.14/0.40 tff(271,plain,
% 0.14/0.40 ((~((~(smaller(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2)) | (~greater(capability(X!5, T3!1), capability(X!5, T2!2))) | (~greater_or_equal(position(X!5, T3!1), position(X!5, T2!2))))) | (~(smaller(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2)) | (~greater_or_equal(capability(X!5, T3!1), capability(X!5, T2!2))) | (~greater(position(X!5, T3!1), position(X!5, T2!2))))) | (~((hazard_of_mortality(X!5, T3!1) = hazard_of_mortality(X!5, T2!2)) | (~(capability(X!5, T3!1) = capability(X!5, T2!2))) | (~(position(X!5, T3!1) = position(X!5, T2!2))))))) <=> (~((~((~greater(capability(X!5, T3!1), capability(X!5, T2!2))) | smaller(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2)) | (~greater_or_equal(position(X!5, T3!1), position(X!5, T2!2))))) | (~((~greater(position(X!5, T3!1), position(X!5, T2!2))) | smaller(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2)) | (~greater_or_equal(capability(X!5, T3!1), capability(X!5, T2!2))))) | (~((~(capability(X!5, T3!1) = capability(X!5, T2!2))) | (~(position(X!5, T3!1) = position(X!5, T2!2))) | (hazard_of_mortality(X!5, T3!1) = hazard_of_mortality(X!5, T2!2))))))),
% 0.14/0.40 inference(rewrite,[status(thm)],[])).
% 0.14/0.40 tff(272,plain,
% 0.14/0.40 ((has_immunity(X!5, T3!1) | has_immunity(X!5, T2!2) | (~organization(X!5)) | (~((~(smaller(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2)) | (~greater(capability(X!5, T3!1), capability(X!5, T2!2))) | (~greater_or_equal(position(X!5, T3!1), position(X!5, T2!2))))) | (~(smaller(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2)) | (~greater_or_equal(capability(X!5, T3!1), capability(X!5, T2!2))) | (~greater(position(X!5, T3!1), position(X!5, T2!2))))) | (~((hazard_of_mortality(X!5, T3!1) = hazard_of_mortality(X!5, T2!2)) | (~(capability(X!5, T3!1) = capability(X!5, T2!2))) | (~(position(X!5, T3!1) = position(X!5, T2!2)))))))) <=> (has_immunity(X!5, T3!1) | has_immunity(X!5, T2!2) | (~organization(X!5)) | (~((~((~greater(capability(X!5, T3!1), capability(X!5, T2!2))) | smaller(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2)) | (~greater_or_equal(position(X!5, T3!1), position(X!5, T2!2))))) | (~((~greater(position(X!5, T3!1), position(X!5, T2!2))) | smaller(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2)) | (~greater_or_equal(capability(X!5, T3!1), capability(X!5, T2!2))))) | (~((~(capability(X!5, T3!1) = capability(X!5, T2!2))) | (~(position(X!5, T3!1) = position(X!5, T2!2))) | (hazard_of_mortality(X!5, T3!1) = hazard_of_mortality(X!5, T2!2)))))))),
% 0.14/0.40 inference(monotonicity,[status(thm)],[271])).
% 0.14/0.40 tff(273,plain,
% 0.14/0.40 ((has_immunity(X!5, T3!1) | has_immunity(X!5, T2!2) | (~organization(X!5)) | (~((~(smaller(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2)) | (~greater(capability(X!5, T3!1), capability(X!5, T2!2))) | (~greater_or_equal(position(X!5, T3!1), position(X!5, T2!2))))) | (~(smaller(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2)) | (~greater_or_equal(capability(X!5, T3!1), capability(X!5, T2!2))) | (~greater(position(X!5, T3!1), position(X!5, T2!2))))) | (~((hazard_of_mortality(X!5, T3!1) = hazard_of_mortality(X!5, T2!2)) | (~(capability(X!5, T3!1) = capability(X!5, T2!2))) | (~(position(X!5, T3!1) = position(X!5, T2!2)))))))) <=> ((~organization(X!5)) | has_immunity(X!5, T2!2) | has_immunity(X!5, T3!1) | (~((~((~greater(capability(X!5, T3!1), capability(X!5, T2!2))) | smaller(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2)) | (~greater_or_equal(position(X!5, T3!1), position(X!5, T2!2))))) | (~((~greater(position(X!5, T3!1), position(X!5, T2!2))) | smaller(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2)) | (~greater_or_equal(capability(X!5, T3!1), capability(X!5, T2!2))))) | (~((~(capability(X!5, T3!1) = capability(X!5, T2!2))) | (~(position(X!5, T3!1) = position(X!5, T2!2))) | (hazard_of_mortality(X!5, T3!1) = hazard_of_mortality(X!5, T2!2)))))))),
% 0.14/0.40 inference(transitivity,[status(thm)],[272, 270])).
% 0.14/0.40 tff(274,plain,
% 0.14/0.40 (((~![X: $i, T0: $i, T: $i] : (has_immunity(X, T) | has_immunity(X, T0) | (~organization(X)) | (~((~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater(capability(X, T), capability(X, T0))) | (~greater_or_equal(position(X, T), position(X, T0))))) | (~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater_or_equal(capability(X, T), capability(X, T0))) | (~greater(position(X, T), position(X, T0))))) | (~((hazard_of_mortality(X, T) = hazard_of_mortality(X, T0)) | (~(capability(X, T) = capability(X, T0))) | (~(position(X, T) = position(X, T0))))))))) | (has_immunity(X!5, T3!1) | has_immunity(X!5, T2!2) | (~organization(X!5)) | (~((~(smaller(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2)) | (~greater(capability(X!5, T3!1), capability(X!5, T2!2))) | (~greater_or_equal(position(X!5, T3!1), position(X!5, T2!2))))) | (~(smaller(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2)) | (~greater_or_equal(capability(X!5, T3!1), capability(X!5, T2!2))) | (~greater(position(X!5, T3!1), position(X!5, T2!2))))) | (~((hazard_of_mortality(X!5, T3!1) = hazard_of_mortality(X!5, T2!2)) | (~(capability(X!5, T3!1) = capability(X!5, T2!2))) | (~(position(X!5, T3!1) = position(X!5, T2!2))))))))) <=> ((~![X: $i, T0: $i, T: $i] : (has_immunity(X, T) | has_immunity(X, T0) | (~organization(X)) | (~((~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater(capability(X, T), capability(X, T0))) | (~greater_or_equal(position(X, T), position(X, T0))))) | (~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater_or_equal(capability(X, T), capability(X, T0))) | (~greater(position(X, T), position(X, T0))))) | (~((hazard_of_mortality(X, T) = hazard_of_mortality(X, T0)) | (~(capability(X, T) = capability(X, T0))) | (~(position(X, T) = position(X, T0))))))))) | ((~organization(X!5)) | has_immunity(X!5, T2!2) | has_immunity(X!5, T3!1) | (~((~((~greater(capability(X!5, T3!1), capability(X!5, T2!2))) | smaller(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2)) | (~greater_or_equal(position(X!5, T3!1), position(X!5, T2!2))))) | (~((~greater(position(X!5, T3!1), position(X!5, T2!2))) | smaller(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2)) | (~greater_or_equal(capability(X!5, T3!1), capability(X!5, T2!2))))) | (~((~(capability(X!5, T3!1) = capability(X!5, T2!2))) | (~(position(X!5, T3!1) = position(X!5, T2!2))) | (hazard_of_mortality(X!5, T3!1) = hazard_of_mortality(X!5, T2!2))))))))),
% 0.14/0.40 inference(monotonicity,[status(thm)],[273])).
% 0.14/0.40 tff(275,plain,
% 0.14/0.40 (((~![X: $i, T0: $i, T: $i] : (has_immunity(X, T) | has_immunity(X, T0) | (~organization(X)) | (~((~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater(capability(X, T), capability(X, T0))) | (~greater_or_equal(position(X, T), position(X, T0))))) | (~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater_or_equal(capability(X, T), capability(X, T0))) | (~greater(position(X, T), position(X, T0))))) | (~((hazard_of_mortality(X, T) = hazard_of_mortality(X, T0)) | (~(capability(X, T) = capability(X, T0))) | (~(position(X, T) = position(X, T0))))))))) | (has_immunity(X!5, T3!1) | has_immunity(X!5, T2!2) | (~organization(X!5)) | (~((~(smaller(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2)) | (~greater(capability(X!5, T3!1), capability(X!5, T2!2))) | (~greater_or_equal(position(X!5, T3!1), position(X!5, T2!2))))) | (~(smaller(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2)) | (~greater_or_equal(capability(X!5, T3!1), capability(X!5, T2!2))) | (~greater(position(X!5, T3!1), position(X!5, T2!2))))) | (~((hazard_of_mortality(X!5, T3!1) = hazard_of_mortality(X!5, T2!2)) | (~(capability(X!5, T3!1) = capability(X!5, T2!2))) | (~(position(X!5, T3!1) = position(X!5, T2!2))))))))) <=> ((~![X: $i, T0: $i, T: $i] : (has_immunity(X, T) | has_immunity(X, T0) | (~organization(X)) | (~((~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater(capability(X, T), capability(X, T0))) | (~greater_or_equal(position(X, T), position(X, T0))))) | (~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater_or_equal(capability(X, T), capability(X, T0))) | (~greater(position(X, T), position(X, T0))))) | (~((hazard_of_mortality(X, T) = hazard_of_mortality(X, T0)) | (~(capability(X, T) = capability(X, T0))) | (~(position(X, T) = position(X, T0))))))))) | (~organization(X!5)) | has_immunity(X!5, T2!2) | has_immunity(X!5, T3!1) | (~((~((~greater(capability(X!5, T3!1), capability(X!5, T2!2))) | smaller(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2)) | (~greater_or_equal(position(X!5, T3!1), position(X!5, T2!2))))) | (~((~greater(position(X!5, T3!1), position(X!5, T2!2))) | smaller(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2)) | (~greater_or_equal(capability(X!5, T3!1), capability(X!5, T2!2))))) | (~((~(capability(X!5, T3!1) = capability(X!5, T2!2))) | (~(position(X!5, T3!1) = position(X!5, T2!2))) | (hazard_of_mortality(X!5, T3!1) = hazard_of_mortality(X!5, T2!2)))))))),
% 0.14/0.40 inference(transitivity,[status(thm)],[274, 269])).
% 0.14/0.40 tff(276,plain,
% 0.14/0.40 ((~![X: $i, T0: $i, T: $i] : (has_immunity(X, T) | has_immunity(X, T0) | (~organization(X)) | (~((~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater(capability(X, T), capability(X, T0))) | (~greater_or_equal(position(X, T), position(X, T0))))) | (~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater_or_equal(capability(X, T), capability(X, T0))) | (~greater(position(X, T), position(X, T0))))) | (~((hazard_of_mortality(X, T) = hazard_of_mortality(X, T0)) | (~(capability(X, T) = capability(X, T0))) | (~(position(X, T) = position(X, T0))))))))) | (has_immunity(X!5, T3!1) | has_immunity(X!5, T2!2) | (~organization(X!5)) | (~((~(smaller(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2)) | (~greater(capability(X!5, T3!1), capability(X!5, T2!2))) | (~greater_or_equal(position(X!5, T3!1), position(X!5, T2!2))))) | (~(smaller(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2)) | (~greater_or_equal(capability(X!5, T3!1), capability(X!5, T2!2))) | (~greater(position(X!5, T3!1), position(X!5, T2!2))))) | (~((hazard_of_mortality(X!5, T3!1) = hazard_of_mortality(X!5, T2!2)) | (~(capability(X!5, T3!1) = capability(X!5, T2!2))) | (~(position(X!5, T3!1) = position(X!5, T2!2))))))))),
% 0.14/0.40 inference(quant_inst,[status(thm)],[])).
% 0.14/0.40 tff(277,plain,
% 0.14/0.40 ((~![X: $i, T0: $i, T: $i] : (has_immunity(X, T) | has_immunity(X, T0) | (~organization(X)) | (~((~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater(capability(X, T), capability(X, T0))) | (~greater_or_equal(position(X, T), position(X, T0))))) | (~(smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~greater_or_equal(capability(X, T), capability(X, T0))) | (~greater(position(X, T), position(X, T0))))) | (~((hazard_of_mortality(X, T) = hazard_of_mortality(X, T0)) | (~(capability(X, T) = capability(X, T0))) | (~(position(X, T) = position(X, T0))))))))) | (~organization(X!5)) | has_immunity(X!5, T2!2) | has_immunity(X!5, T3!1) | (~((~((~greater(capability(X!5, T3!1), capability(X!5, T2!2))) | smaller(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2)) | (~greater_or_equal(position(X!5, T3!1), position(X!5, T2!2))))) | (~((~greater(position(X!5, T3!1), position(X!5, T2!2))) | smaller(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2)) | (~greater_or_equal(capability(X!5, T3!1), capability(X!5, T2!2))))) | (~((~(capability(X!5, T3!1) = capability(X!5, T2!2))) | (~(position(X!5, T3!1) = position(X!5, T2!2))) | (hazard_of_mortality(X!5, T3!1) = hazard_of_mortality(X!5, T2!2))))))),
% 0.14/0.41 inference(modus_ponens,[status(thm)],[276, 275])).
% 0.14/0.41 tff(278,plain,
% 0.14/0.41 (~((~((~greater(capability(X!5, T3!1), capability(X!5, T2!2))) | smaller(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2)) | (~greater_or_equal(position(X!5, T3!1), position(X!5, T2!2))))) | (~((~greater(position(X!5, T3!1), position(X!5, T2!2))) | smaller(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2)) | (~greater_or_equal(capability(X!5, T3!1), capability(X!5, T2!2))))) | (~((~(capability(X!5, T3!1) = capability(X!5, T2!2))) | (~(position(X!5, T3!1) = position(X!5, T2!2))) | (hazard_of_mortality(X!5, T3!1) = hazard_of_mortality(X!5, T2!2)))))),
% 0.14/0.41 inference(unit_resolution,[status(thm)],[277, 268, 162, 255, 160])).
% 0.14/0.41 tff(279,plain,
% 0.14/0.41 (((~((~greater(capability(X!5, T3!1), capability(X!5, T2!2))) | smaller(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2)) | (~greater_or_equal(position(X!5, T3!1), position(X!5, T2!2))))) | (~((~greater(position(X!5, T3!1), position(X!5, T2!2))) | smaller(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2)) | (~greater_or_equal(capability(X!5, T3!1), capability(X!5, T2!2))))) | (~((~(capability(X!5, T3!1) = capability(X!5, T2!2))) | (~(position(X!5, T3!1) = position(X!5, T2!2))) | (hazard_of_mortality(X!5, T3!1) = hazard_of_mortality(X!5, T2!2))))) | ((~greater(capability(X!5, T3!1), capability(X!5, T2!2))) | smaller(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2)) | (~greater_or_equal(position(X!5, T3!1), position(X!5, T2!2))))),
% 0.14/0.41 inference(tautology,[status(thm)],[])).
% 0.14/0.41 tff(280,plain,
% 0.14/0.41 ((~greater(capability(X!5, T3!1), capability(X!5, T2!2))) | smaller(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2)) | (~greater_or_equal(position(X!5, T3!1), position(X!5, T2!2)))),
% 0.14/0.41 inference(unit_resolution,[status(thm)],[279, 278])).
% 0.14/0.41 tff(281,plain,
% 0.14/0.41 (^[X: $i, Y: $i] : refl((greater_or_equal(X, Y) <=> ((X = Y) | greater(X, Y))) <=> (greater_or_equal(X, Y) <=> ((X = Y) | greater(X, Y))))),
% 0.14/0.41 inference(bind,[status(th)],[])).
% 0.14/0.41 tff(282,plain,
% 0.14/0.41 (![X: $i, Y: $i] : (greater_or_equal(X, Y) <=> ((X = Y) | greater(X, Y))) <=> ![X: $i, Y: $i] : (greater_or_equal(X, Y) <=> ((X = Y) | greater(X, Y)))),
% 0.14/0.41 inference(quant_intro,[status(thm)],[281])).
% 0.14/0.41 tff(283,plain,
% 0.14/0.41 (![X: $i, Y: $i] : (greater_or_equal(X, Y) <=> ((X = Y) | greater(X, Y))) <=> ![X: $i, Y: $i] : (greater_or_equal(X, Y) <=> ((X = Y) | greater(X, Y)))),
% 0.14/0.41 inference(rewrite,[status(thm)],[])).
% 0.14/0.41 tff(284,plain,
% 0.14/0.41 (^[X: $i, Y: $i] : rewrite((greater_or_equal(X, Y) <=> (greater(X, Y) | (X = Y))) <=> (greater_or_equal(X, Y) <=> ((X = Y) | greater(X, Y))))),
% 0.14/0.41 inference(bind,[status(th)],[])).
% 0.14/0.41 tff(285,plain,
% 0.14/0.41 (![X: $i, Y: $i] : (greater_or_equal(X, Y) <=> (greater(X, Y) | (X = Y))) <=> ![X: $i, Y: $i] : (greater_or_equal(X, Y) <=> ((X = Y) | greater(X, Y)))),
% 0.14/0.41 inference(quant_intro,[status(thm)],[284])).
% 0.14/0.41 tff(286,axiom,(![X: $i, Y: $i] : (greater_or_equal(X, Y) <=> (greater(X, Y) | (X = Y)))), file('/export/starexec/sandbox2/benchmark/Axioms/MGT001+0.ax','definition_greater_or_equal')).
% 0.14/0.41 tff(287,plain,
% 0.14/0.41 (![X: $i, Y: $i] : (greater_or_equal(X, Y) <=> ((X = Y) | greater(X, Y)))),
% 0.14/0.41 inference(modus_ponens,[status(thm)],[286, 285])).
% 0.14/0.41 tff(288,plain,
% 0.14/0.41 (![X: $i, Y: $i] : (greater_or_equal(X, Y) <=> ((X = Y) | greater(X, Y)))),
% 0.14/0.41 inference(modus_ponens,[status(thm)],[287, 283])).
% 0.14/0.41 tff(289,plain,(
% 0.14/0.41 ![X: $i, Y: $i] : (greater_or_equal(X, Y) <=> ((X = Y) | greater(X, Y)))),
% 0.14/0.41 inference(skolemize,[status(sab)],[288])).
% 0.14/0.41 tff(290,plain,
% 0.14/0.41 (![X: $i, Y: $i] : (greater_or_equal(X, Y) <=> ((X = Y) | greater(X, Y)))),
% 0.14/0.41 inference(modus_ponens,[status(thm)],[289, 282])).
% 0.14/0.41 tff(291,plain,
% 0.14/0.41 ((~![X: $i, Y: $i] : (greater_or_equal(X, Y) <=> ((X = Y) | greater(X, Y)))) | (greater_or_equal(position(X!5, T3!1), position(X!5, T2!2)) <=> ((position(X!5, T3!1) = position(X!5, T2!2)) | greater(position(X!5, T3!1), position(X!5, T2!2))))),
% 0.14/0.41 inference(quant_inst,[status(thm)],[])).
% 0.14/0.41 tff(292,plain,
% 0.14/0.41 (greater_or_equal(position(X!5, T3!1), position(X!5, T2!2)) <=> ((position(X!5, T3!1) = position(X!5, T2!2)) | greater(position(X!5, T3!1), position(X!5, T2!2)))),
% 0.14/0.41 inference(unit_resolution,[status(thm)],[291, 290])).
% 0.14/0.41 tff(293,plain,
% 0.14/0.41 (^[X: $i, T0: $i, T: $i] : refl(((~organization(X)) | (~((~((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0)))) | (~((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0))))))) <=> ((~organization(X)) | (~((~((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0)))) | (~((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0))))))))),
% 0.14/0.41 inference(bind,[status(th)],[])).
% 0.14/0.41 tff(294,plain,
% 0.14/0.41 (![X: $i, T0: $i, T: $i] : ((~organization(X)) | (~((~((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0)))) | (~((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0))))))) <=> ![X: $i, T0: $i, T: $i] : ((~organization(X)) | (~((~((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0)))) | (~((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0)))))))),
% 0.14/0.41 inference(quant_intro,[status(thm)],[293])).
% 0.14/0.41 tff(295,plain,
% 0.14/0.41 (^[X: $i, T0: $i, T: $i] : rewrite(((~organization(X)) | (((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0))) & ((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0))))) <=> ((~organization(X)) | (~((~((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0)))) | (~((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0))))))))),
% 0.14/0.41 inference(bind,[status(th)],[])).
% 0.14/0.41 tff(296,plain,
% 0.14/0.41 (![X: $i, T0: $i, T: $i] : ((~organization(X)) | (((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0))) & ((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0))))) <=> ![X: $i, T0: $i, T: $i] : ((~organization(X)) | (~((~((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0)))) | (~((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0)))))))),
% 0.14/0.41 inference(quant_intro,[status(thm)],[295])).
% 0.14/0.41 tff(297,plain,
% 0.14/0.41 (![X: $i, T0: $i, T: $i] : ((~organization(X)) | (((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0))) & ((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0))))) <=> ![X: $i, T0: $i, T: $i] : ((~organization(X)) | (((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0))) & ((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0)))))),
% 0.14/0.41 inference(rewrite,[status(thm)],[])).
% 0.14/0.41 tff(298,plain,
% 0.14/0.41 (^[X: $i, T0: $i, T: $i] : trans(monotonicity(rewrite(((greater(external_ties(X, T), external_ties(X, T0)) => greater(position(X, T), position(X, T0))) & ((external_ties(X, T) = external_ties(X, T0)) => (position(X, T) = position(X, T0)))) <=> (((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0))) & ((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0))))), ((organization(X) => ((greater(external_ties(X, T), external_ties(X, T0)) => greater(position(X, T), position(X, T0))) & ((external_ties(X, T) = external_ties(X, T0)) => (position(X, T) = position(X, T0))))) <=> (organization(X) => (((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0))) & ((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0))))))), rewrite((organization(X) => (((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0))) & ((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0))))) <=> ((~organization(X)) | (((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0))) & ((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0)))))), ((organization(X) => ((greater(external_ties(X, T), external_ties(X, T0)) => greater(position(X, T), position(X, T0))) & ((external_ties(X, T) = external_ties(X, T0)) => (position(X, T) = position(X, T0))))) <=> ((~organization(X)) | (((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0))) & ((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0)))))))),
% 0.14/0.41 inference(bind,[status(th)],[])).
% 0.14/0.41 tff(299,plain,
% 0.14/0.41 (![X: $i, T0: $i, T: $i] : (organization(X) => ((greater(external_ties(X, T), external_ties(X, T0)) => greater(position(X, T), position(X, T0))) & ((external_ties(X, T) = external_ties(X, T0)) => (position(X, T) = position(X, T0))))) <=> ![X: $i, T0: $i, T: $i] : ((~organization(X)) | (((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0))) & ((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0)))))),
% 0.14/0.41 inference(quant_intro,[status(thm)],[298])).
% 0.14/0.41 tff(300,axiom,(![X: $i, T0: $i, T: $i] : (organization(X) => ((greater(external_ties(X, T), external_ties(X, T0)) => greater(position(X, T), position(X, T0))) & ((external_ties(X, T) = external_ties(X, T0)) => (position(X, T) = position(X, T0)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','assumption_6')).
% 0.14/0.41 tff(301,plain,
% 0.14/0.41 (![X: $i, T0: $i, T: $i] : ((~organization(X)) | (((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0))) & ((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0)))))),
% 0.14/0.41 inference(modus_ponens,[status(thm)],[300, 299])).
% 0.14/0.41 tff(302,plain,
% 0.14/0.41 (![X: $i, T0: $i, T: $i] : ((~organization(X)) | (((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0))) & ((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0)))))),
% 0.14/0.41 inference(modus_ponens,[status(thm)],[301, 297])).
% 0.14/0.41 tff(303,plain,(
% 0.14/0.41 ![X: $i, T0: $i, T: $i] : ((~organization(X)) | (((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0))) & ((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0)))))),
% 0.14/0.41 inference(skolemize,[status(sab)],[302])).
% 0.14/0.41 tff(304,plain,
% 0.14/0.41 (![X: $i, T0: $i, T: $i] : ((~organization(X)) | (~((~((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0)))) | (~((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0)))))))),
% 0.14/0.41 inference(modus_ponens,[status(thm)],[303, 296])).
% 0.14/0.41 tff(305,plain,
% 0.14/0.41 (![X: $i, T0: $i, T: $i] : ((~organization(X)) | (~((~((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0)))) | (~((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0)))))))),
% 0.14/0.41 inference(modus_ponens,[status(thm)],[304, 294])).
% 0.14/0.41 tff(306,plain,
% 0.14/0.41 (((~![X: $i, T0: $i, T: $i] : ((~organization(X)) | (~((~((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0)))) | (~((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0)))))))) | ((~organization(X!5)) | (~((~((~greater(external_ties(X!5, T3!1), external_ties(X!5, T2!2))) | greater(position(X!5, T3!1), position(X!5, T2!2)))) | (~((~(external_ties(X!5, T3!1) = external_ties(X!5, T2!2))) | (position(X!5, T3!1) = position(X!5, T2!2)))))))) <=> ((~![X: $i, T0: $i, T: $i] : ((~organization(X)) | (~((~((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0)))) | (~((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0)))))))) | (~organization(X!5)) | (~((~((~greater(external_ties(X!5, T3!1), external_ties(X!5, T2!2))) | greater(position(X!5, T3!1), position(X!5, T2!2)))) | (~((~(external_ties(X!5, T3!1) = external_ties(X!5, T2!2))) | (position(X!5, T3!1) = position(X!5, T2!2)))))))),
% 0.14/0.41 inference(rewrite,[status(thm)],[])).
% 0.14/0.41 tff(307,plain,
% 0.14/0.41 ((~![X: $i, T0: $i, T: $i] : ((~organization(X)) | (~((~((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0)))) | (~((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0)))))))) | ((~organization(X!5)) | (~((~((~greater(external_ties(X!5, T3!1), external_ties(X!5, T2!2))) | greater(position(X!5, T3!1), position(X!5, T2!2)))) | (~((~(external_ties(X!5, T3!1) = external_ties(X!5, T2!2))) | (position(X!5, T3!1) = position(X!5, T2!2)))))))),
% 0.14/0.41 inference(quant_inst,[status(thm)],[])).
% 0.14/0.41 tff(308,plain,
% 0.14/0.41 ((~![X: $i, T0: $i, T: $i] : ((~organization(X)) | (~((~((~greater(external_ties(X, T), external_ties(X, T0))) | greater(position(X, T), position(X, T0)))) | (~((~(external_ties(X, T) = external_ties(X, T0))) | (position(X, T) = position(X, T0)))))))) | (~organization(X!5)) | (~((~((~greater(external_ties(X!5, T3!1), external_ties(X!5, T2!2))) | greater(position(X!5, T3!1), position(X!5, T2!2)))) | (~((~(external_ties(X!5, T3!1) = external_ties(X!5, T2!2))) | (position(X!5, T3!1) = position(X!5, T2!2))))))),
% 0.14/0.41 inference(modus_ponens,[status(thm)],[307, 306])).
% 0.14/0.41 tff(309,plain,
% 0.14/0.41 (~((~((~greater(external_ties(X!5, T3!1), external_ties(X!5, T2!2))) | greater(position(X!5, T3!1), position(X!5, T2!2)))) | (~((~(external_ties(X!5, T3!1) = external_ties(X!5, T2!2))) | (position(X!5, T3!1) = position(X!5, T2!2)))))),
% 0.14/0.41 inference(unit_resolution,[status(thm)],[308, 305, 162])).
% 0.14/0.41 tff(310,plain,
% 0.14/0.41 (((~((~greater(external_ties(X!5, T3!1), external_ties(X!5, T2!2))) | greater(position(X!5, T3!1), position(X!5, T2!2)))) | (~((~(external_ties(X!5, T3!1) = external_ties(X!5, T2!2))) | (position(X!5, T3!1) = position(X!5, T2!2))))) | ((~greater(external_ties(X!5, T3!1), external_ties(X!5, T2!2))) | greater(position(X!5, T3!1), position(X!5, T2!2)))),
% 0.14/0.41 inference(tautology,[status(thm)],[])).
% 0.14/0.41 tff(311,plain,
% 0.14/0.41 ((~greater(external_ties(X!5, T3!1), external_ties(X!5, T2!2))) | greater(position(X!5, T3!1), position(X!5, T2!2))),
% 0.14/0.41 inference(unit_resolution,[status(thm)],[310, 309])).
% 0.14/0.41 tff(312,plain,
% 0.14/0.41 (^[X: $i, T0: $i, T: $i] : refl((greater(external_ties(X, T), external_ties(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0)))) <=> (greater(external_ties(X, T), external_ties(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0)))))),
% 0.14/0.41 inference(bind,[status(th)],[])).
% 0.14/0.41 tff(313,plain,
% 0.14/0.41 (![X: $i, T0: $i, T: $i] : (greater(external_ties(X, T), external_ties(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0)))) <=> ![X: $i, T0: $i, T: $i] : (greater(external_ties(X, T), external_ties(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0))))),
% 0.14/0.41 inference(quant_intro,[status(thm)],[312])).
% 0.14/0.41 tff(314,plain,
% 0.14/0.41 (^[X: $i, T0: $i, T: $i] : trans(monotonicity(trans(monotonicity(rewrite((organization(X) & greater(age(X, T), age(X, T0))) <=> (~((~organization(X)) | (~greater(age(X, T), age(X, T0)))))), ((~(organization(X) & greater(age(X, T), age(X, T0)))) <=> (~(~((~organization(X)) | (~greater(age(X, T), age(X, T0)))))))), rewrite((~(~((~organization(X)) | (~greater(age(X, T), age(X, T0)))))) <=> ((~organization(X)) | (~greater(age(X, T), age(X, T0))))), ((~(organization(X) & greater(age(X, T), age(X, T0)))) <=> ((~organization(X)) | (~greater(age(X, T), age(X, T0)))))), (((~(organization(X) & greater(age(X, T), age(X, T0)))) | greater(external_ties(X, T), external_ties(X, T0))) <=> (((~organization(X)) | (~greater(age(X, T), age(X, T0)))) | greater(external_ties(X, T), external_ties(X, T0))))), rewrite((((~organization(X)) | (~greater(age(X, T), age(X, T0)))) | greater(external_ties(X, T), external_ties(X, T0))) <=> (greater(external_ties(X, T), external_ties(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0))))), (((~(organization(X) & greater(age(X, T), age(X, T0)))) | greater(external_ties(X, T), external_ties(X, T0))) <=> (greater(external_ties(X, T), external_ties(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0))))))),
% 0.14/0.41 inference(bind,[status(th)],[])).
% 0.14/0.41 tff(315,plain,
% 0.14/0.41 (![X: $i, T0: $i, T: $i] : ((~(organization(X) & greater(age(X, T), age(X, T0)))) | greater(external_ties(X, T), external_ties(X, T0))) <=> ![X: $i, T0: $i, T: $i] : (greater(external_ties(X, T), external_ties(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0))))),
% 0.14/0.41 inference(quant_intro,[status(thm)],[314])).
% 0.14/0.41 tff(316,plain,
% 0.14/0.41 (![X: $i, T0: $i, T: $i] : ((~(organization(X) & greater(age(X, T), age(X, T0)))) | greater(external_ties(X, T), external_ties(X, T0))) <=> ![X: $i, T0: $i, T: $i] : ((~(organization(X) & greater(age(X, T), age(X, T0)))) | greater(external_ties(X, T), external_ties(X, T0)))),
% 0.14/0.41 inference(rewrite,[status(thm)],[])).
% 0.14/0.41 tff(317,plain,
% 0.14/0.41 (^[X: $i, T0: $i, T: $i] : rewrite(((organization(X) & greater(age(X, T), age(X, T0))) => greater(external_ties(X, T), external_ties(X, T0))) <=> ((~(organization(X) & greater(age(X, T), age(X, T0)))) | greater(external_ties(X, T), external_ties(X, T0))))),
% 0.14/0.41 inference(bind,[status(th)],[])).
% 0.14/0.41 tff(318,plain,
% 0.14/0.41 (![X: $i, T0: $i, T: $i] : ((organization(X) & greater(age(X, T), age(X, T0))) => greater(external_ties(X, T), external_ties(X, T0))) <=> ![X: $i, T0: $i, T: $i] : ((~(organization(X) & greater(age(X, T), age(X, T0)))) | greater(external_ties(X, T), external_ties(X, T0)))),
% 0.14/0.41 inference(quant_intro,[status(thm)],[317])).
% 0.14/0.41 tff(319,axiom,(![X: $i, T0: $i, T: $i] : ((organization(X) & greater(age(X, T), age(X, T0))) => greater(external_ties(X, T), external_ties(X, T0)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','assumption_8')).
% 0.14/0.41 tff(320,plain,
% 0.14/0.41 (![X: $i, T0: $i, T: $i] : ((~(organization(X) & greater(age(X, T), age(X, T0)))) | greater(external_ties(X, T), external_ties(X, T0)))),
% 0.14/0.41 inference(modus_ponens,[status(thm)],[319, 318])).
% 0.14/0.41 tff(321,plain,
% 0.14/0.41 (![X: $i, T0: $i, T: $i] : ((~(organization(X) & greater(age(X, T), age(X, T0)))) | greater(external_ties(X, T), external_ties(X, T0)))),
% 0.14/0.41 inference(modus_ponens,[status(thm)],[320, 316])).
% 0.14/0.41 tff(322,plain,(
% 0.14/0.41 ![X: $i, T0: $i, T: $i] : ((~(organization(X) & greater(age(X, T), age(X, T0)))) | greater(external_ties(X, T), external_ties(X, T0)))),
% 0.14/0.41 inference(skolemize,[status(sab)],[321])).
% 0.14/0.41 tff(323,plain,
% 0.14/0.41 (![X: $i, T0: $i, T: $i] : (greater(external_ties(X, T), external_ties(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0))))),
% 0.14/0.41 inference(modus_ponens,[status(thm)],[322, 315])).
% 0.14/0.41 tff(324,plain,
% 0.14/0.41 (![X: $i, T0: $i, T: $i] : (greater(external_ties(X, T), external_ties(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0))))),
% 0.14/0.41 inference(modus_ponens,[status(thm)],[323, 313])).
% 0.14/0.41 tff(325,plain,
% 0.14/0.41 (((~![X: $i, T0: $i, T: $i] : (greater(external_ties(X, T), external_ties(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0))))) | ((~organization(X!5)) | (~greater(age(X!5, T3!1), age(X!5, T2!2))) | greater(external_ties(X!5, T3!1), external_ties(X!5, T2!2)))) <=> ((~![X: $i, T0: $i, T: $i] : (greater(external_ties(X, T), external_ties(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0))))) | (~organization(X!5)) | (~greater(age(X!5, T3!1), age(X!5, T2!2))) | greater(external_ties(X!5, T3!1), external_ties(X!5, T2!2)))),
% 0.14/0.41 inference(rewrite,[status(thm)],[])).
% 0.14/0.41 tff(326,plain,
% 0.14/0.41 ((greater(external_ties(X!5, T3!1), external_ties(X!5, T2!2)) | (~organization(X!5)) | (~greater(age(X!5, T3!1), age(X!5, T2!2)))) <=> ((~organization(X!5)) | (~greater(age(X!5, T3!1), age(X!5, T2!2))) | greater(external_ties(X!5, T3!1), external_ties(X!5, T2!2)))),
% 0.14/0.41 inference(rewrite,[status(thm)],[])).
% 0.14/0.41 tff(327,plain,
% 0.14/0.41 (((~![X: $i, T0: $i, T: $i] : (greater(external_ties(X, T), external_ties(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0))))) | (greater(external_ties(X!5, T3!1), external_ties(X!5, T2!2)) | (~organization(X!5)) | (~greater(age(X!5, T3!1), age(X!5, T2!2))))) <=> ((~![X: $i, T0: $i, T: $i] : (greater(external_ties(X, T), external_ties(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0))))) | ((~organization(X!5)) | (~greater(age(X!5, T3!1), age(X!5, T2!2))) | greater(external_ties(X!5, T3!1), external_ties(X!5, T2!2))))),
% 0.14/0.41 inference(monotonicity,[status(thm)],[326])).
% 0.14/0.41 tff(328,plain,
% 0.14/0.41 (((~![X: $i, T0: $i, T: $i] : (greater(external_ties(X, T), external_ties(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0))))) | (greater(external_ties(X!5, T3!1), external_ties(X!5, T2!2)) | (~organization(X!5)) | (~greater(age(X!5, T3!1), age(X!5, T2!2))))) <=> ((~![X: $i, T0: $i, T: $i] : (greater(external_ties(X, T), external_ties(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0))))) | (~organization(X!5)) | (~greater(age(X!5, T3!1), age(X!5, T2!2))) | greater(external_ties(X!5, T3!1), external_ties(X!5, T2!2)))),
% 0.14/0.41 inference(transitivity,[status(thm)],[327, 325])).
% 0.14/0.41 tff(329,plain,
% 0.14/0.41 ((~![X: $i, T0: $i, T: $i] : (greater(external_ties(X, T), external_ties(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0))))) | (greater(external_ties(X!5, T3!1), external_ties(X!5, T2!2)) | (~organization(X!5)) | (~greater(age(X!5, T3!1), age(X!5, T2!2))))),
% 0.14/0.41 inference(quant_inst,[status(thm)],[])).
% 0.14/0.41 tff(330,plain,
% 0.14/0.41 ((~![X: $i, T0: $i, T: $i] : (greater(external_ties(X, T), external_ties(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0))))) | (~organization(X!5)) | (~greater(age(X!5, T3!1), age(X!5, T2!2))) | greater(external_ties(X!5, T3!1), external_ties(X!5, T2!2))),
% 0.14/0.41 inference(modus_ponens,[status(thm)],[329, 328])).
% 0.14/0.41 tff(331,plain,
% 0.14/0.41 (greater(external_ties(X!5, T3!1), external_ties(X!5, T2!2))),
% 0.14/0.41 inference(unit_resolution,[status(thm)],[330, 324, 162, 149])).
% 0.14/0.41 tff(332,plain,
% 0.14/0.41 ((~((~greater(external_ties(X!5, T3!1), external_ties(X!5, T2!2))) | greater(position(X!5, T3!1), position(X!5, T2!2)))) | (~greater(external_ties(X!5, T3!1), external_ties(X!5, T2!2))) | greater(position(X!5, T3!1), position(X!5, T2!2))),
% 0.14/0.41 inference(tautology,[status(thm)],[])).
% 0.14/0.41 tff(333,plain,
% 0.14/0.41 ((~((~greater(external_ties(X!5, T3!1), external_ties(X!5, T2!2))) | greater(position(X!5, T3!1), position(X!5, T2!2)))) | greater(position(X!5, T3!1), position(X!5, T2!2))),
% 0.14/0.41 inference(unit_resolution,[status(thm)],[332, 331])).
% 0.14/0.41 tff(334,plain,
% 0.14/0.41 (greater(position(X!5, T3!1), position(X!5, T2!2))),
% 0.14/0.41 inference(unit_resolution,[status(thm)],[333, 311])).
% 0.14/0.41 tff(335,plain,
% 0.14/0.41 (((position(X!5, T3!1) = position(X!5, T2!2)) | greater(position(X!5, T3!1), position(X!5, T2!2))) | (~greater(position(X!5, T3!1), position(X!5, T2!2)))),
% 0.14/0.41 inference(tautology,[status(thm)],[])).
% 0.14/0.41 tff(336,plain,
% 0.14/0.41 ((position(X!5, T3!1) = position(X!5, T2!2)) | greater(position(X!5, T3!1), position(X!5, T2!2))),
% 0.14/0.41 inference(unit_resolution,[status(thm)],[335, 334])).
% 0.14/0.41 tff(337,plain,
% 0.14/0.41 ((~(greater_or_equal(position(X!5, T3!1), position(X!5, T2!2)) <=> ((position(X!5, T3!1) = position(X!5, T2!2)) | greater(position(X!5, T3!1), position(X!5, T2!2))))) | greater_or_equal(position(X!5, T3!1), position(X!5, T2!2)) | (~((position(X!5, T3!1) = position(X!5, T2!2)) | greater(position(X!5, T3!1), position(X!5, T2!2))))),
% 0.14/0.41 inference(tautology,[status(thm)],[])).
% 0.14/0.41 tff(338,plain,
% 0.14/0.41 ((~(greater_or_equal(position(X!5, T3!1), position(X!5, T2!2)) <=> ((position(X!5, T3!1) = position(X!5, T2!2)) | greater(position(X!5, T3!1), position(X!5, T2!2))))) | greater_or_equal(position(X!5, T3!1), position(X!5, T2!2))),
% 0.14/0.41 inference(unit_resolution,[status(thm)],[337, 336])).
% 0.14/0.41 tff(339,plain,
% 0.14/0.41 (greater_or_equal(position(X!5, T3!1), position(X!5, T2!2))),
% 0.14/0.41 inference(unit_resolution,[status(thm)],[338, 292])).
% 0.14/0.42 tff(340,plain,
% 0.14/0.42 ((~((~greater(capability(X!5, T3!1), capability(X!5, T2!2))) | smaller(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2)) | (~greater_or_equal(position(X!5, T3!1), position(X!5, T2!2))))) | (~greater(capability(X!5, T3!1), capability(X!5, T2!2))) | smaller(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2)) | (~greater_or_equal(position(X!5, T3!1), position(X!5, T2!2)))),
% 0.14/0.42 inference(tautology,[status(thm)],[])).
% 0.14/0.42 tff(341,plain,
% 0.14/0.42 ((~greater(capability(X!5, T3!1), capability(X!5, T2!2))) | smaller(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2))),
% 0.14/0.42 inference(unit_resolution,[status(thm)],[340, 339, 280])).
% 0.14/0.42 tff(342,plain,
% 0.14/0.42 (smaller(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2))),
% 0.14/0.42 inference(unit_resolution,[status(thm)],[341, 248])).
% 0.14/0.42 tff(343,plain,
% 0.14/0.42 ((~(smaller(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2)) <=> greater(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T3!1)))) | (~smaller(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2))) | greater(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T3!1))),
% 0.14/0.42 inference(tautology,[status(thm)],[])).
% 0.14/0.42 tff(344,plain,
% 0.14/0.42 ((~(smaller(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2)) <=> greater(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T3!1)))) | greater(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T3!1))),
% 0.14/0.42 inference(unit_resolution,[status(thm)],[343, 342])).
% 0.14/0.42 tff(345,plain,
% 0.14/0.42 (greater(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T3!1))),
% 0.14/0.42 inference(unit_resolution,[status(thm)],[344, 185])).
% 0.14/0.42 tff(346,plain,
% 0.14/0.42 ((~(~((~greater(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T3!1))) | (~greater(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T1!3))) | (~(hazard_of_mortality(X!5, T1!3) = hazard_of_mortality(X!5, T0!4)))))) <=> ((~greater(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T3!1))) | (~greater(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T1!3))) | (~(hazard_of_mortality(X!5, T1!3) = hazard_of_mortality(X!5, T0!4))))),
% 0.14/0.42 inference(rewrite,[status(thm)],[])).
% 0.14/0.42 tff(347,plain,
% 0.14/0.42 ((greater(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T3!1)) & greater(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T1!3)) & (hazard_of_mortality(X!5, T1!3) = hazard_of_mortality(X!5, T0!4))) <=> (~((~greater(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T3!1))) | (~greater(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T1!3))) | (~(hazard_of_mortality(X!5, T1!3) = hazard_of_mortality(X!5, T0!4)))))),
% 0.14/0.42 inference(rewrite,[status(thm)],[])).
% 0.14/0.42 tff(348,plain,
% 0.14/0.42 ((~(greater(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T3!1)) & greater(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T1!3)) & (hazard_of_mortality(X!5, T1!3) = hazard_of_mortality(X!5, T0!4)))) <=> (~(~((~greater(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T3!1))) | (~greater(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T1!3))) | (~(hazard_of_mortality(X!5, T1!3) = hazard_of_mortality(X!5, T0!4))))))),
% 0.14/0.42 inference(monotonicity,[status(thm)],[347])).
% 0.14/0.42 tff(349,plain,
% 0.14/0.42 ((~(greater(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T3!1)) & greater(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T1!3)) & (hazard_of_mortality(X!5, T1!3) = hazard_of_mortality(X!5, T0!4)))) <=> ((~greater(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T3!1))) | (~greater(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T1!3))) | (~(hazard_of_mortality(X!5, T1!3) = hazard_of_mortality(X!5, T0!4))))),
% 0.14/0.42 inference(transitivity,[status(thm)],[348, 346])).
% 0.14/0.42 tff(350,plain,
% 0.14/0.42 (~(greater(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T3!1)) & greater(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T1!3)) & (hazard_of_mortality(X!5, T1!3) = hazard_of_mortality(X!5, T0!4)))),
% 0.14/0.42 inference(or_elim,[status(thm)],[34])).
% 0.14/0.42 tff(351,plain,
% 0.14/0.42 ((~greater(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T3!1))) | (~greater(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T1!3))) | (~(hazard_of_mortality(X!5, T1!3) = hazard_of_mortality(X!5, T0!4)))),
% 0.14/0.42 inference(modus_ponens,[status(thm)],[350, 349])).
% 0.14/0.42 tff(352,plain,
% 0.14/0.42 ((~greater(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T1!3))) | (~(hazard_of_mortality(X!5, T1!3) = hazard_of_mortality(X!5, T0!4)))),
% 0.14/0.42 inference(unit_resolution,[status(thm)],[351, 345])).
% 0.14/0.42 tff(353,plain,
% 0.14/0.42 (~(hazard_of_mortality(X!5, T1!3) = hazard_of_mortality(X!5, T0!4))),
% 0.14/0.42 inference(unit_resolution,[status(thm)],[352, 183])).
% 0.14/0.42 tff(354,plain,
% 0.14/0.42 (^[X: $i, T0: $i, T: $i] : refl(((hazard_of_mortality(X, T0) = hazard_of_mortality(X, T)) | (~has_immunity(X, T)) | (~has_immunity(X, T0)) | (~organization(X))) <=> ((hazard_of_mortality(X, T0) = hazard_of_mortality(X, T)) | (~has_immunity(X, T)) | (~has_immunity(X, T0)) | (~organization(X))))),
% 0.14/0.42 inference(bind,[status(th)],[])).
% 0.14/0.42 tff(355,plain,
% 0.14/0.42 (![X: $i, T0: $i, T: $i] : ((hazard_of_mortality(X, T0) = hazard_of_mortality(X, T)) | (~has_immunity(X, T)) | (~has_immunity(X, T0)) | (~organization(X))) <=> ![X: $i, T0: $i, T: $i] : ((hazard_of_mortality(X, T0) = hazard_of_mortality(X, T)) | (~has_immunity(X, T)) | (~has_immunity(X, T0)) | (~organization(X)))),
% 0.14/0.42 inference(quant_intro,[status(thm)],[354])).
% 0.14/0.42 tff(356,plain,
% 0.14/0.42 (^[X: $i, T0: $i, T: $i] : trans(monotonicity(trans(monotonicity(rewrite((organization(X) & has_immunity(X, T0) & has_immunity(X, T)) <=> (~((~has_immunity(X, T)) | (~has_immunity(X, T0)) | (~organization(X))))), ((~(organization(X) & has_immunity(X, T0) & has_immunity(X, T))) <=> (~(~((~has_immunity(X, T)) | (~has_immunity(X, T0)) | (~organization(X))))))), rewrite((~(~((~has_immunity(X, T)) | (~has_immunity(X, T0)) | (~organization(X))))) <=> ((~has_immunity(X, T)) | (~has_immunity(X, T0)) | (~organization(X)))), ((~(organization(X) & has_immunity(X, T0) & has_immunity(X, T))) <=> ((~has_immunity(X, T)) | (~has_immunity(X, T0)) | (~organization(X))))), (((~(organization(X) & has_immunity(X, T0) & has_immunity(X, T))) | (hazard_of_mortality(X, T0) = hazard_of_mortality(X, T))) <=> (((~has_immunity(X, T)) | (~has_immunity(X, T0)) | (~organization(X))) | (hazard_of_mortality(X, T0) = hazard_of_mortality(X, T))))), rewrite((((~has_immunity(X, T)) | (~has_immunity(X, T0)) | (~organization(X))) | (hazard_of_mortality(X, T0) = hazard_of_mortality(X, T))) <=> ((hazard_of_mortality(X, T0) = hazard_of_mortality(X, T)) | (~has_immunity(X, T)) | (~has_immunity(X, T0)) | (~organization(X)))), (((~(organization(X) & has_immunity(X, T0) & has_immunity(X, T))) | (hazard_of_mortality(X, T0) = hazard_of_mortality(X, T))) <=> ((hazard_of_mortality(X, T0) = hazard_of_mortality(X, T)) | (~has_immunity(X, T)) | (~has_immunity(X, T0)) | (~organization(X)))))),
% 0.14/0.42 inference(bind,[status(th)],[])).
% 0.14/0.42 tff(357,plain,
% 0.14/0.42 (![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] : ((hazard_of_mortality(X, T0) = hazard_of_mortality(X, T)) | (~has_immunity(X, T)) | (~has_immunity(X, T0)) | (~organization(X)))),
% 0.14/0.42 inference(quant_intro,[status(thm)],[356])).
% 0.14/0.42 tff(358,plain,
% 0.14/0.42 (![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)))),
% 0.14/0.42 inference(rewrite,[status(thm)],[])).
% 0.14/0.42 tff(359,plain,
% 0.14/0.42 (^[X: $i, T0: $i, T: $i] : trans(monotonicity(rewrite(((organization(X) & has_immunity(X, T0)) & has_immunity(X, T)) <=> (organization(X) & has_immunity(X, T0) & has_immunity(X, T))), ((((organization(X) & has_immunity(X, T0)) & has_immunity(X, T)) => (hazard_of_mortality(X, T0) = hazard_of_mortality(X, T))) <=> ((organization(X) & has_immunity(X, T0) & has_immunity(X, T)) => (hazard_of_mortality(X, T0) = hazard_of_mortality(X, T))))), rewrite(((organization(X) & has_immunity(X, T0) & has_immunity(X, T)) => (hazard_of_mortality(X, T0) = hazard_of_mortality(X, T))) <=> ((~(organization(X) & has_immunity(X, T0) & has_immunity(X, T))) | (hazard_of_mortality(X, T0) = hazard_of_mortality(X, T)))), ((((organization(X) & has_immunity(X, T0)) & has_immunity(X, T)) => (hazard_of_mortality(X, T0) = hazard_of_mortality(X, T))) <=> ((~(organization(X) & has_immunity(X, T0) & has_immunity(X, T))) | (hazard_of_mortality(X, T0) = hazard_of_mortality(X, T)))))),
% 0.14/0.42 inference(bind,[status(th)],[])).
% 0.14/0.42 tff(360,plain,
% 0.14/0.42 (![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)))),
% 0.14/0.42 inference(quant_intro,[status(thm)],[359])).
% 0.14/0.42 tff(361,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/sandbox2/benchmark/theBenchmark.p','assumption_2')).
% 0.14/0.42 tff(362,plain,
% 0.14/0.42 (![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)))),
% 0.14/0.42 inference(modus_ponens,[status(thm)],[361, 360])).
% 0.14/0.42 tff(363,plain,
% 0.14/0.42 (![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)))),
% 0.14/0.42 inference(modus_ponens,[status(thm)],[362, 358])).
% 0.14/0.42 tff(364,plain,(
% 0.14/0.42 ![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)))),
% 0.14/0.42 inference(skolemize,[status(sab)],[363])).
% 0.14/0.42 tff(365,plain,
% 0.14/0.42 (![X: $i, T0: $i, T: $i] : ((hazard_of_mortality(X, T0) = hazard_of_mortality(X, T)) | (~has_immunity(X, T)) | (~has_immunity(X, T0)) | (~organization(X)))),
% 0.14/0.42 inference(modus_ponens,[status(thm)],[364, 357])).
% 0.14/0.42 tff(366,plain,
% 0.14/0.42 (![X: $i, T0: $i, T: $i] : ((hazard_of_mortality(X, T0) = hazard_of_mortality(X, T)) | (~has_immunity(X, T)) | (~has_immunity(X, T0)) | (~organization(X)))),
% 0.14/0.42 inference(modus_ponens,[status(thm)],[365, 355])).
% 0.14/0.42 tff(367,plain,
% 0.14/0.42 (((~![X: $i, T0: $i, T: $i] : ((hazard_of_mortality(X, T0) = hazard_of_mortality(X, T)) | (~has_immunity(X, T)) | (~has_immunity(X, T0)) | (~organization(X)))) | ((hazard_of_mortality(X!5, T1!3) = hazard_of_mortality(X!5, T0!4)) | (~organization(X!5)) | (~has_immunity(X!5, T0!4)) | (~has_immunity(X!5, T1!3)))) <=> ((~![X: $i, T0: $i, T: $i] : ((hazard_of_mortality(X, T0) = hazard_of_mortality(X, T)) | (~has_immunity(X, T)) | (~has_immunity(X, T0)) | (~organization(X)))) | (hazard_of_mortality(X!5, T1!3) = hazard_of_mortality(X!5, T0!4)) | (~organization(X!5)) | (~has_immunity(X!5, T0!4)) | (~has_immunity(X!5, T1!3)))),
% 0.14/0.42 inference(rewrite,[status(thm)],[])).
% 0.14/0.42 tff(368,plain,
% 0.14/0.42 (((hazard_of_mortality(X!5, T1!3) = hazard_of_mortality(X!5, T0!4)) | (~has_immunity(X!5, T0!4)) | (~has_immunity(X!5, T1!3)) | (~organization(X!5))) <=> ((hazard_of_mortality(X!5, T1!3) = hazard_of_mortality(X!5, T0!4)) | (~organization(X!5)) | (~has_immunity(X!5, T0!4)) | (~has_immunity(X!5, T1!3)))),
% 0.14/0.42 inference(rewrite,[status(thm)],[])).
% 0.14/0.42 tff(369,plain,
% 0.14/0.42 (((~![X: $i, T0: $i, T: $i] : ((hazard_of_mortality(X, T0) = hazard_of_mortality(X, T)) | (~has_immunity(X, T)) | (~has_immunity(X, T0)) | (~organization(X)))) | ((hazard_of_mortality(X!5, T1!3) = hazard_of_mortality(X!5, T0!4)) | (~has_immunity(X!5, T0!4)) | (~has_immunity(X!5, T1!3)) | (~organization(X!5)))) <=> ((~![X: $i, T0: $i, T: $i] : ((hazard_of_mortality(X, T0) = hazard_of_mortality(X, T)) | (~has_immunity(X, T)) | (~has_immunity(X, T0)) | (~organization(X)))) | ((hazard_of_mortality(X!5, T1!3) = hazard_of_mortality(X!5, T0!4)) | (~organization(X!5)) | (~has_immunity(X!5, T0!4)) | (~has_immunity(X!5, T1!3))))),
% 0.14/0.42 inference(monotonicity,[status(thm)],[368])).
% 0.14/0.42 tff(370,plain,
% 0.14/0.42 (((~![X: $i, T0: $i, T: $i] : ((hazard_of_mortality(X, T0) = hazard_of_mortality(X, T)) | (~has_immunity(X, T)) | (~has_immunity(X, T0)) | (~organization(X)))) | ((hazard_of_mortality(X!5, T1!3) = hazard_of_mortality(X!5, T0!4)) | (~has_immunity(X!5, T0!4)) | (~has_immunity(X!5, T1!3)) | (~organization(X!5)))) <=> ((~![X: $i, T0: $i, T: $i] : ((hazard_of_mortality(X, T0) = hazard_of_mortality(X, T)) | (~has_immunity(X, T)) | (~has_immunity(X, T0)) | (~organization(X)))) | (hazard_of_mortality(X!5, T1!3) = hazard_of_mortality(X!5, T0!4)) | (~organization(X!5)) | (~has_immunity(X!5, T0!4)) | (~has_immunity(X!5, T1!3)))),
% 0.14/0.42 inference(transitivity,[status(thm)],[369, 367])).
% 0.14/0.42 tff(371,plain,
% 0.14/0.42 ((~![X: $i, T0: $i, T: $i] : ((hazard_of_mortality(X, T0) = hazard_of_mortality(X, T)) | (~has_immunity(X, T)) | (~has_immunity(X, T0)) | (~organization(X)))) | ((hazard_of_mortality(X!5, T1!3) = hazard_of_mortality(X!5, T0!4)) | (~has_immunity(X!5, T0!4)) | (~has_immunity(X!5, T1!3)) | (~organization(X!5)))),
% 0.14/0.42 inference(quant_inst,[status(thm)],[])).
% 0.14/0.42 tff(372,plain,
% 0.14/0.42 ((~![X: $i, T0: $i, T: $i] : ((hazard_of_mortality(X, T0) = hazard_of_mortality(X, T)) | (~has_immunity(X, T)) | (~has_immunity(X, T0)) | (~organization(X)))) | (hazard_of_mortality(X!5, T1!3) = hazard_of_mortality(X!5, T0!4)) | (~organization(X!5)) | (~has_immunity(X!5, T0!4)) | (~has_immunity(X!5, T1!3))),
% 0.14/0.42 inference(modus_ponens,[status(thm)],[371, 370])).
% 0.14/0.42 tff(373,plain,
% 0.14/0.42 ($false),
% 0.14/0.42 inference(unit_resolution,[status(thm)],[372, 366, 162, 353, 144, 47])).
% 0.14/0.42 % SZS output end Proof
%------------------------------------------------------------------------------