TSTP Solution File: MGT050+1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : MGT050+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 05:22:13 EDT 2022
% Result : Theorem 0.13s 0.41s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : MGT050+1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.35 % Computer : n011.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri Sep 2 02:51:42 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.35 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.35 Usage: tptp [options] [-file:]file
% 0.13/0.35 -h, -? prints this message.
% 0.13/0.35 -smt2 print SMT-LIB2 benchmark.
% 0.13/0.35 -m, -model generate model.
% 0.13/0.35 -p, -proof generate proof.
% 0.13/0.35 -c, -core generate unsat core of named formulas.
% 0.13/0.35 -st, -statistics display statistics.
% 0.13/0.35 -t:timeout set timeout (in second).
% 0.13/0.35 -smt2status display status in smt2 format instead of SZS.
% 0.13/0.35 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.35 -<param>:<value> configuration parameter and value.
% 0.13/0.35 -o:<output-file> file to place output in.
% 0.13/0.41 % SZS status Theorem
% 0.13/0.41 % SZS output start Proof
% 0.13/0.41 tff(external_ties_type, type, (
% 0.13/0.41 external_ties: ( $i * $i ) > $i)).
% 0.13/0.41 tff(tptp_fun_T_0_type, type, (
% 0.13/0.41 tptp_fun_T_0: $i)).
% 0.13/0.41 tff(tptp_fun_X_2_type, type, (
% 0.13/0.41 tptp_fun_X_2: $i)).
% 0.13/0.41 tff(tptp_fun_T0_1_type, type, (
% 0.13/0.41 tptp_fun_T0_1: $i)).
% 0.13/0.41 tff(position_type, type, (
% 0.13/0.41 position: ( $i * $i ) > $i)).
% 0.13/0.41 tff(greater_type, type, (
% 0.13/0.41 greater: ( $i * $i ) > $o)).
% 0.13/0.41 tff(organization_type, type, (
% 0.13/0.41 organization: $i > $o)).
% 0.13/0.41 tff(age_type, type, (
% 0.13/0.41 age: ( $i * $i ) > $i)).
% 0.13/0.41 tff(has_endowment_type, type, (
% 0.13/0.41 has_endowment: $i > $o)).
% 0.13/0.41 tff(hazard_of_mortality_type, type, (
% 0.13/0.41 hazard_of_mortality: ( $i * $i ) > $i)).
% 0.13/0.41 tff(greater_or_equal_type, type, (
% 0.13/0.41 greater_or_equal: ( $i * $i ) > $o)).
% 0.13/0.41 tff(capability_type, type, (
% 0.13/0.41 capability: ( $i * $i ) > $i)).
% 0.13/0.41 tff(smaller_type, type, (
% 0.13/0.41 smaller: ( $i * $i ) > $o)).
% 0.13/0.41 tff(has_immunity_type, type, (
% 0.13/0.41 has_immunity: ( $i * $i ) > $o)).
% 0.13/0.41 tff(smaller_or_equal_type, type, (
% 0.13/0.41 smaller_or_equal: ( $i * $i ) > $o)).
% 0.13/0.41 tff(stock_of_knowledge_type, type, (
% 0.13/0.41 stock_of_knowledge: ( $i * $i ) > $i)).
% 0.13/0.41 tff(internal_friction_type, type, (
% 0.13/0.41 internal_friction: ( $i * $i ) > $i)).
% 0.13/0.41 tff(1,plain,
% 0.13/0.41 ((~![X: $i, T0: $i, T: $i] : ((~(organization(X) & (~has_endowment(X)) & greater(age(X, T), age(X, T0)))) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)))) <=> (~![X: $i, T0: $i, T: $i] : ((~(organization(X) & (~has_endowment(X)) & greater(age(X, T), age(X, T0)))) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))))),
% 0.13/0.41 inference(rewrite,[status(thm)],[])).
% 0.13/0.41 tff(2,plain,
% 0.13/0.41 ((~![X: $i, T0: $i, T: $i] : (((organization(X) & (~has_endowment(X))) & greater(age(X, T), age(X, T0))) => greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)))) <=> (~![X: $i, T0: $i, T: $i] : ((~(organization(X) & (~has_endowment(X)) & greater(age(X, T), age(X, T0)))) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))))),
% 0.13/0.41 inference(rewrite,[status(thm)],[])).
% 0.13/0.41 tff(3,axiom,(~![X: $i, T0: $i, T: $i] : (((organization(X) & (~has_endowment(X))) & greater(age(X, T), age(X, T0))) => greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','theorem_3')).
% 0.13/0.41 tff(4,plain,
% 0.13/0.41 (~![X: $i, T0: $i, T: $i] : ((~(organization(X) & (~has_endowment(X)) & greater(age(X, T), age(X, T0)))) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)))),
% 0.13/0.41 inference(modus_ponens,[status(thm)],[3, 2])).
% 0.13/0.41 tff(5,plain,
% 0.13/0.41 (~![X: $i, T0: $i, T: $i] : ((~(organization(X) & (~has_endowment(X)) & greater(age(X, T), age(X, T0)))) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)))),
% 0.13/0.41 inference(modus_ponens,[status(thm)],[4, 1])).
% 0.13/0.41 tff(6,plain,
% 0.13/0.41 (~![X: $i, T0: $i, T: $i] : ((~(organization(X) & (~has_endowment(X)) & greater(age(X, T), age(X, T0)))) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)))),
% 0.13/0.41 inference(modus_ponens,[status(thm)],[5, 1])).
% 0.13/0.41 tff(7,plain,
% 0.13/0.41 (~![X: $i, T0: $i, T: $i] : ((~(organization(X) & (~has_endowment(X)) & greater(age(X, T), age(X, T0)))) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)))),
% 0.13/0.41 inference(modus_ponens,[status(thm)],[6, 1])).
% 0.13/0.41 tff(8,plain,
% 0.13/0.41 (~![X: $i, T0: $i, T: $i] : ((~(organization(X) & (~has_endowment(X)) & greater(age(X, T), age(X, T0)))) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)))),
% 0.13/0.41 inference(modus_ponens,[status(thm)],[7, 1])).
% 0.13/0.41 tff(9,plain,
% 0.13/0.41 (~![X: $i, T0: $i, T: $i] : ((~(organization(X) & (~has_endowment(X)) & greater(age(X, T), age(X, T0)))) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)))),
% 0.13/0.41 inference(modus_ponens,[status(thm)],[8, 1])).
% 0.13/0.41 tff(10,plain,
% 0.13/0.41 (~![X: $i, T0: $i, T: $i] : ((~(organization(X) & (~has_endowment(X)) & greater(age(X, T), age(X, T0)))) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)))),
% 0.13/0.41 inference(modus_ponens,[status(thm)],[9, 1])).
% 0.13/0.41 tff(11,plain,(
% 0.13/0.41 ~((~(organization(X!2) & (~has_endowment(X!2)) & greater(age(X!2, T!0), age(X!2, T0!1)))) | greater(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1)))),
% 0.21/0.41 inference(skolemize,[status(sab)],[10])).
% 0.21/0.41 tff(12,plain,
% 0.21/0.41 (organization(X!2) & (~has_endowment(X!2)) & greater(age(X!2, T!0), age(X!2, T0!1))),
% 0.21/0.41 inference(or_elim,[status(thm)],[11])).
% 0.21/0.41 tff(13,plain,
% 0.21/0.41 (organization(X!2)),
% 0.21/0.41 inference(and_elim,[status(thm)],[12])).
% 0.21/0.41 tff(14,plain,
% 0.21/0.41 (^[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))))))))),
% 0.21/0.41 inference(bind,[status(th)],[])).
% 0.21/0.41 tff(15,plain,
% 0.21/0.41 (![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)))))))),
% 0.21/0.41 inference(quant_intro,[status(thm)],[14])).
% 0.21/0.41 tff(16,plain,
% 0.21/0.41 (^[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))))))))),
% 0.21/0.41 inference(bind,[status(th)],[])).
% 0.21/0.41 tff(17,plain,
% 0.21/0.41 (![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)))))))),
% 0.21/0.41 inference(quant_intro,[status(thm)],[16])).
% 0.21/0.41 tff(18,plain,
% 0.21/0.41 (![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)))))),
% 0.21/0.41 inference(rewrite,[status(thm)],[])).
% 0.21/0.41 tff(19,plain,
% 0.21/0.41 (^[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)))))))),
% 0.21/0.41 inference(bind,[status(th)],[])).
% 0.21/0.41 tff(20,plain,
% 0.21/0.41 (![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)))))),
% 0.21/0.41 inference(quant_intro,[status(thm)],[19])).
% 0.21/0.41 tff(21,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/sandbox/benchmark/theBenchmark.p','assumption_6')).
% 0.21/0.41 tff(22,plain,
% 0.21/0.41 (![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)))))),
% 0.21/0.41 inference(modus_ponens,[status(thm)],[21, 20])).
% 0.21/0.41 tff(23,plain,
% 0.21/0.41 (![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)))))),
% 0.21/0.41 inference(modus_ponens,[status(thm)],[22, 18])).
% 0.21/0.41 tff(24,plain,(
% 0.21/0.41 ![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)))))),
% 0.21/0.41 inference(skolemize,[status(sab)],[23])).
% 0.21/0.41 tff(25,plain,
% 0.21/0.41 (![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)))))))),
% 0.21/0.41 inference(modus_ponens,[status(thm)],[24, 17])).
% 0.21/0.41 tff(26,plain,
% 0.21/0.41 (![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)))))))),
% 0.21/0.41 inference(modus_ponens,[status(thm)],[25, 15])).
% 0.21/0.41 tff(27,plain,
% 0.21/0.41 (((~![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!2)) | (~((~((~greater(external_ties(X!2, T0!1), external_ties(X!2, T!0))) | greater(position(X!2, T0!1), position(X!2, T!0)))) | (~((~(external_ties(X!2, T0!1) = external_ties(X!2, T!0))) | (position(X!2, T0!1) = position(X!2, T!0)))))))) <=> ((~![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!2)) | (~((~((~greater(external_ties(X!2, T0!1), external_ties(X!2, T!0))) | greater(position(X!2, T0!1), position(X!2, T!0)))) | (~((~(external_ties(X!2, T0!1) = external_ties(X!2, T!0))) | (position(X!2, T0!1) = position(X!2, T!0)))))))),
% 0.21/0.42 inference(rewrite,[status(thm)],[])).
% 0.21/0.42 tff(28,plain,
% 0.21/0.42 ((~![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!2)) | (~((~((~greater(external_ties(X!2, T0!1), external_ties(X!2, T!0))) | greater(position(X!2, T0!1), position(X!2, T!0)))) | (~((~(external_ties(X!2, T0!1) = external_ties(X!2, T!0))) | (position(X!2, T0!1) = position(X!2, T!0)))))))),
% 0.21/0.42 inference(quant_inst,[status(thm)],[])).
% 0.21/0.42 tff(29,plain,
% 0.21/0.42 ((~![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!2)) | (~((~((~greater(external_ties(X!2, T0!1), external_ties(X!2, T!0))) | greater(position(X!2, T0!1), position(X!2, T!0)))) | (~((~(external_ties(X!2, T0!1) = external_ties(X!2, T!0))) | (position(X!2, T0!1) = position(X!2, T!0))))))),
% 0.21/0.42 inference(modus_ponens,[status(thm)],[28, 27])).
% 0.21/0.42 tff(30,plain,
% 0.21/0.42 (~((~((~greater(external_ties(X!2, T0!1), external_ties(X!2, T!0))) | greater(position(X!2, T0!1), position(X!2, T!0)))) | (~((~(external_ties(X!2, T0!1) = external_ties(X!2, T!0))) | (position(X!2, T0!1) = position(X!2, T!0)))))),
% 0.21/0.42 inference(unit_resolution,[status(thm)],[29, 26, 13])).
% 0.21/0.42 tff(31,plain,
% 0.21/0.42 (((~((~greater(external_ties(X!2, T0!1), external_ties(X!2, T!0))) | greater(position(X!2, T0!1), position(X!2, T!0)))) | (~((~(external_ties(X!2, T0!1) = external_ties(X!2, T!0))) | (position(X!2, T0!1) = position(X!2, T!0))))) | ((~(external_ties(X!2, T0!1) = external_ties(X!2, T!0))) | (position(X!2, T0!1) = position(X!2, T!0)))),
% 0.21/0.42 inference(tautology,[status(thm)],[])).
% 0.21/0.42 tff(32,plain,
% 0.21/0.42 ((~(external_ties(X!2, T0!1) = external_ties(X!2, T!0))) | (position(X!2, T0!1) = position(X!2, T!0))),
% 0.21/0.42 inference(unit_resolution,[status(thm)],[31, 30])).
% 0.21/0.42 tff(33,plain,
% 0.21/0.42 (^[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))))),
% 0.21/0.42 inference(bind,[status(th)],[])).
% 0.21/0.42 tff(34,plain,
% 0.21/0.42 (![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)))),
% 0.21/0.42 inference(quant_intro,[status(thm)],[33])).
% 0.21/0.42 tff(35,plain,
% 0.21/0.42 (![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)))),
% 0.21/0.42 inference(rewrite,[status(thm)],[])).
% 0.21/0.42 tff(36,plain,
% 0.21/0.42 (^[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))))),
% 0.21/0.42 inference(bind,[status(th)],[])).
% 0.21/0.42 tff(37,plain,
% 0.21/0.42 (![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)))),
% 0.21/0.42 inference(quant_intro,[status(thm)],[36])).
% 0.21/0.42 tff(38,axiom,(![X: $i, Y: $i] : (greater_or_equal(X, Y) <=> (greater(X, Y) | (X = Y)))), file('/export/starexec/sandbox/benchmark/Axioms/MGT001+0.ax','definition_greater_or_equal')).
% 0.21/0.42 tff(39,plain,
% 0.21/0.42 (![X: $i, Y: $i] : (greater_or_equal(X, Y) <=> ((X = Y) | greater(X, Y)))),
% 0.21/0.42 inference(modus_ponens,[status(thm)],[38, 37])).
% 0.21/0.42 tff(40,plain,
% 0.21/0.42 (![X: $i, Y: $i] : (greater_or_equal(X, Y) <=> ((X = Y) | greater(X, Y)))),
% 0.21/0.42 inference(modus_ponens,[status(thm)],[39, 35])).
% 0.21/0.42 tff(41,plain,(
% 0.21/0.42 ![X: $i, Y: $i] : (greater_or_equal(X, Y) <=> ((X = Y) | greater(X, Y)))),
% 0.21/0.42 inference(skolemize,[status(sab)],[40])).
% 0.21/0.42 tff(42,plain,
% 0.21/0.42 (![X: $i, Y: $i] : (greater_or_equal(X, Y) <=> ((X = Y) | greater(X, Y)))),
% 0.21/0.42 inference(modus_ponens,[status(thm)],[41, 34])).
% 0.21/0.42 tff(43,plain,
% 0.21/0.42 ((~![X: $i, Y: $i] : (greater_or_equal(X, Y) <=> ((X = Y) | greater(X, Y)))) | (greater_or_equal(position(X!2, T0!1), position(X!2, T!0)) <=> ((position(X!2, T0!1) = position(X!2, T!0)) | greater(position(X!2, T0!1), position(X!2, T!0))))),
% 0.21/0.42 inference(quant_inst,[status(thm)],[])).
% 0.21/0.42 tff(44,plain,
% 0.21/0.42 (greater_or_equal(position(X!2, T0!1), position(X!2, T!0)) <=> ((position(X!2, T0!1) = position(X!2, T!0)) | greater(position(X!2, T0!1), position(X!2, T!0)))),
% 0.21/0.42 inference(unit_resolution,[status(thm)],[43, 42])).
% 0.21/0.42 tff(45,assumption,(has_immunity(X!2, T!0)), introduced(assumption)).
% 0.21/0.42 tff(46,plain,
% 0.21/0.42 (~has_endowment(X!2)),
% 0.21/0.42 inference(and_elim,[status(thm)],[12])).
% 0.21/0.42 tff(47,plain,
% 0.21/0.42 (^[X: $i, T: $i] : refl(((~has_immunity(X, T)) | has_endowment(X) | (~organization(X))) <=> ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X))))),
% 0.21/0.42 inference(bind,[status(th)],[])).
% 0.21/0.42 tff(48,plain,
% 0.21/0.42 (![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X))) <=> ![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))),
% 0.21/0.42 inference(quant_intro,[status(thm)],[47])).
% 0.21/0.42 tff(49,plain,
% 0.21/0.42 (^[X: $i, T: $i] : trans(monotonicity(trans(monotonicity(rewrite((organization(X) & (~has_endowment(X))) <=> (~(has_endowment(X) | (~organization(X))))), ((~(organization(X) & (~has_endowment(X)))) <=> (~(~(has_endowment(X) | (~organization(X))))))), rewrite((~(~(has_endowment(X) | (~organization(X))))) <=> (has_endowment(X) | (~organization(X)))), ((~(organization(X) & (~has_endowment(X)))) <=> (has_endowment(X) | (~organization(X))))), (((~has_immunity(X, T)) | (~(organization(X) & (~has_endowment(X))))) <=> ((~has_immunity(X, T)) | (has_endowment(X) | (~organization(X)))))), rewrite(((~has_immunity(X, T)) | (has_endowment(X) | (~organization(X)))) <=> ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))), (((~has_immunity(X, T)) | (~(organization(X) & (~has_endowment(X))))) <=> ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))))),
% 0.21/0.42 inference(bind,[status(th)],[])).
% 0.21/0.42 tff(50,plain,
% 0.21/0.42 (![X: $i, T: $i] : ((~has_immunity(X, T)) | (~(organization(X) & (~has_endowment(X))))) <=> ![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))),
% 0.21/0.42 inference(quant_intro,[status(thm)],[49])).
% 0.21/0.42 tff(51,plain,
% 0.21/0.42 (![X: $i, T: $i] : ((~has_immunity(X, T)) | (~(organization(X) & (~has_endowment(X))))) <=> ![X: $i, T: $i] : ((~has_immunity(X, T)) | (~(organization(X) & (~has_endowment(X)))))),
% 0.21/0.42 inference(rewrite,[status(thm)],[])).
% 0.21/0.42 tff(52,plain,
% 0.21/0.42 (^[X: $i, T: $i] : rewrite(((organization(X) & (~has_endowment(X))) => (~has_immunity(X, T))) <=> ((~has_immunity(X, T)) | (~(organization(X) & (~has_endowment(X))))))),
% 0.21/0.42 inference(bind,[status(th)],[])).
% 0.21/0.42 tff(53,plain,
% 0.21/0.42 (![X: $i, T: $i] : ((organization(X) & (~has_endowment(X))) => (~has_immunity(X, T))) <=> ![X: $i, T: $i] : ((~has_immunity(X, T)) | (~(organization(X) & (~has_endowment(X)))))),
% 0.21/0.42 inference(quant_intro,[status(thm)],[52])).
% 0.21/0.42 tff(54,axiom,(![X: $i, T: $i] : ((organization(X) & (~has_endowment(X))) => (~has_immunity(X, T)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','assumption_1')).
% 0.21/0.42 tff(55,plain,
% 0.21/0.42 (![X: $i, T: $i] : ((~has_immunity(X, T)) | (~(organization(X) & (~has_endowment(X)))))),
% 0.21/0.42 inference(modus_ponens,[status(thm)],[54, 53])).
% 0.21/0.42 tff(56,plain,
% 0.21/0.42 (![X: $i, T: $i] : ((~has_immunity(X, T)) | (~(organization(X) & (~has_endowment(X)))))),
% 0.21/0.42 inference(modus_ponens,[status(thm)],[55, 51])).
% 0.21/0.42 tff(57,plain,(
% 0.21/0.42 ![X: $i, T: $i] : ((~has_immunity(X, T)) | (~(organization(X) & (~has_endowment(X)))))),
% 0.21/0.42 inference(skolemize,[status(sab)],[56])).
% 0.21/0.42 tff(58,plain,
% 0.21/0.42 (![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))),
% 0.21/0.42 inference(modus_ponens,[status(thm)],[57, 50])).
% 0.21/0.42 tff(59,plain,
% 0.21/0.42 (![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))),
% 0.21/0.42 inference(modus_ponens,[status(thm)],[58, 48])).
% 0.21/0.42 tff(60,plain,
% 0.21/0.42 (((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | (has_endowment(X!2) | (~organization(X!2)) | (~has_immunity(X!2, T!0)))) <=> ((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | has_endowment(X!2) | (~organization(X!2)) | (~has_immunity(X!2, T!0)))),
% 0.21/0.43 inference(rewrite,[status(thm)],[])).
% 0.21/0.43 tff(61,plain,
% 0.21/0.43 (((~has_immunity(X!2, T!0)) | has_endowment(X!2) | (~organization(X!2))) <=> (has_endowment(X!2) | (~organization(X!2)) | (~has_immunity(X!2, T!0)))),
% 0.21/0.43 inference(rewrite,[status(thm)],[])).
% 0.21/0.43 tff(62,plain,
% 0.21/0.43 (((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | ((~has_immunity(X!2, T!0)) | has_endowment(X!2) | (~organization(X!2)))) <=> ((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | (has_endowment(X!2) | (~organization(X!2)) | (~has_immunity(X!2, T!0))))),
% 0.21/0.43 inference(monotonicity,[status(thm)],[61])).
% 0.21/0.43 tff(63,plain,
% 0.21/0.43 (((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | ((~has_immunity(X!2, T!0)) | has_endowment(X!2) | (~organization(X!2)))) <=> ((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | has_endowment(X!2) | (~organization(X!2)) | (~has_immunity(X!2, T!0)))),
% 0.21/0.43 inference(transitivity,[status(thm)],[62, 60])).
% 0.21/0.43 tff(64,plain,
% 0.21/0.43 ((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | ((~has_immunity(X!2, T!0)) | has_endowment(X!2) | (~organization(X!2)))),
% 0.21/0.43 inference(quant_inst,[status(thm)],[])).
% 0.21/0.43 tff(65,plain,
% 0.21/0.43 ((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | has_endowment(X!2) | (~organization(X!2)) | (~has_immunity(X!2, T!0))),
% 0.21/0.43 inference(modus_ponens,[status(thm)],[64, 63])).
% 0.21/0.43 tff(66,plain,
% 0.21/0.43 ($false),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[65, 59, 13, 46, 45])).
% 0.21/0.43 tff(67,plain,(~has_immunity(X!2, T!0)), inference(lemma,lemma(discharge,[]))).
% 0.21/0.43 tff(68,assumption,(has_immunity(X!2, T0!1)), introduced(assumption)).
% 0.21/0.43 tff(69,plain,
% 0.21/0.43 (((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | (has_endowment(X!2) | (~organization(X!2)) | (~has_immunity(X!2, T0!1)))) <=> ((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | has_endowment(X!2) | (~organization(X!2)) | (~has_immunity(X!2, T0!1)))),
% 0.21/0.43 inference(rewrite,[status(thm)],[])).
% 0.21/0.43 tff(70,plain,
% 0.21/0.43 (((~has_immunity(X!2, T0!1)) | has_endowment(X!2) | (~organization(X!2))) <=> (has_endowment(X!2) | (~organization(X!2)) | (~has_immunity(X!2, T0!1)))),
% 0.21/0.43 inference(rewrite,[status(thm)],[])).
% 0.21/0.43 tff(71,plain,
% 0.21/0.43 (((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | ((~has_immunity(X!2, T0!1)) | has_endowment(X!2) | (~organization(X!2)))) <=> ((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | (has_endowment(X!2) | (~organization(X!2)) | (~has_immunity(X!2, T0!1))))),
% 0.21/0.43 inference(monotonicity,[status(thm)],[70])).
% 0.21/0.43 tff(72,plain,
% 0.21/0.43 (((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | ((~has_immunity(X!2, T0!1)) | has_endowment(X!2) | (~organization(X!2)))) <=> ((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | has_endowment(X!2) | (~organization(X!2)) | (~has_immunity(X!2, T0!1)))),
% 0.21/0.43 inference(transitivity,[status(thm)],[71, 69])).
% 0.21/0.43 tff(73,plain,
% 0.21/0.43 ((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | ((~has_immunity(X!2, T0!1)) | has_endowment(X!2) | (~organization(X!2)))),
% 0.21/0.43 inference(quant_inst,[status(thm)],[])).
% 0.21/0.43 tff(74,plain,
% 0.21/0.43 ((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | has_endowment(X!2) | (~organization(X!2)) | (~has_immunity(X!2, T0!1))),
% 0.21/0.43 inference(modus_ponens,[status(thm)],[73, 72])).
% 0.21/0.43 tff(75,plain,
% 0.21/0.43 ($false),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[74, 59, 13, 46, 68])).
% 0.21/0.43 tff(76,plain,(~has_immunity(X!2, T0!1)), inference(lemma,lemma(discharge,[]))).
% 0.21/0.43 tff(77,plain,
% 0.21/0.43 (^[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)))))))))),
% 0.21/0.43 inference(bind,[status(th)],[])).
% 0.21/0.43 tff(78,plain,
% 0.21/0.43 (![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))))))))),
% 0.21/0.43 inference(quant_intro,[status(thm)],[77])).
% 0.21/0.43 tff(79,plain,
% 0.21/0.43 (^[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))))))))))),
% 0.21/0.44 inference(bind,[status(th)],[])).
% 0.21/0.44 tff(80,plain,
% 0.21/0.44 (![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))))))))),
% 0.21/0.44 inference(quant_intro,[status(thm)],[79])).
% 0.21/0.44 tff(81,plain,
% 0.21/0.44 (![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)))))),
% 0.21/0.44 inference(rewrite,[status(thm)],[])).
% 0.21/0.44 tff(82,plain,
% 0.21/0.44 (^[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)))))))),
% 0.21/0.44 inference(bind,[status(th)],[])).
% 0.21/0.44 tff(83,plain,
% 0.21/0.44 (![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)))))),
% 0.21/0.44 inference(quant_intro,[status(thm)],[82])).
% 0.21/0.44 tff(84,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/sandbox/benchmark/theBenchmark.p','assumption_4')).
% 0.21/0.44 tff(85,plain,
% 0.21/0.44 (![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)))))),
% 0.21/0.44 inference(modus_ponens,[status(thm)],[84, 83])).
% 0.21/0.44 tff(86,plain,
% 0.21/0.44 (![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)))))),
% 0.21/0.44 inference(modus_ponens,[status(thm)],[85, 81])).
% 0.21/0.44 tff(87,plain,(
% 0.21/0.44 ![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)))))),
% 0.21/0.45 inference(skolemize,[status(sab)],[86])).
% 0.21/0.45 tff(88,plain,
% 0.21/0.45 (![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))))))))),
% 0.21/0.45 inference(modus_ponens,[status(thm)],[87, 80])).
% 0.21/0.45 tff(89,plain,
% 0.21/0.45 (![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))))))))),
% 0.21/0.45 inference(modus_ponens,[status(thm)],[88, 78])).
% 0.21/0.45 tff(90,plain,
% 0.21/0.45 (((~![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!2)) | has_immunity(X!2, T0!1) | has_immunity(X!2, T!0) | (~((~(smaller(hazard_of_mortality(X!2, T0!1), hazard_of_mortality(X!2, T!0)) | (~greater(capability(X!2, T0!1), capability(X!2, T!0))) | (~greater_or_equal(position(X!2, T0!1), position(X!2, T!0))))) | (~(smaller(hazard_of_mortality(X!2, T0!1), hazard_of_mortality(X!2, T!0)) | (~greater_or_equal(capability(X!2, T0!1), capability(X!2, T!0))) | (~greater(position(X!2, T0!1), position(X!2, T!0))))) | (~((hazard_of_mortality(X!2, T0!1) = hazard_of_mortality(X!2, T!0)) | (~(capability(X!2, T0!1) = capability(X!2, T!0))) | (~(position(X!2, T0!1) = position(X!2, T!0))))))))) <=> ((~![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!2)) | has_immunity(X!2, T0!1) | has_immunity(X!2, T!0) | (~((~(smaller(hazard_of_mortality(X!2, T0!1), hazard_of_mortality(X!2, T!0)) | (~greater(capability(X!2, T0!1), capability(X!2, T!0))) | (~greater_or_equal(position(X!2, T0!1), position(X!2, T!0))))) | (~(smaller(hazard_of_mortality(X!2, T0!1), hazard_of_mortality(X!2, T!0)) | (~greater_or_equal(capability(X!2, T0!1), capability(X!2, T!0))) | (~greater(position(X!2, T0!1), position(X!2, T!0))))) | (~((hazard_of_mortality(X!2, T0!1) = hazard_of_mortality(X!2, T!0)) | (~(capability(X!2, T0!1) = capability(X!2, T!0))) | (~(position(X!2, T0!1) = position(X!2, T!0))))))))),
% 0.21/0.45 inference(rewrite,[status(thm)],[])).
% 0.21/0.45 tff(91,plain,
% 0.21/0.45 ((has_immunity(X!2, T0!1) | has_immunity(X!2, T!0) | (~organization(X!2)) | (~((~(smaller(hazard_of_mortality(X!2, T0!1), hazard_of_mortality(X!2, T!0)) | (~greater(capability(X!2, T0!1), capability(X!2, T!0))) | (~greater_or_equal(position(X!2, T0!1), position(X!2, T!0))))) | (~(smaller(hazard_of_mortality(X!2, T0!1), hazard_of_mortality(X!2, T!0)) | (~greater_or_equal(capability(X!2, T0!1), capability(X!2, T!0))) | (~greater(position(X!2, T0!1), position(X!2, T!0))))) | (~((hazard_of_mortality(X!2, T0!1) = hazard_of_mortality(X!2, T!0)) | (~(capability(X!2, T0!1) = capability(X!2, T!0))) | (~(position(X!2, T0!1) = position(X!2, T!0)))))))) <=> ((~organization(X!2)) | has_immunity(X!2, T0!1) | has_immunity(X!2, T!0) | (~((~(smaller(hazard_of_mortality(X!2, T0!1), hazard_of_mortality(X!2, T!0)) | (~greater(capability(X!2, T0!1), capability(X!2, T!0))) | (~greater_or_equal(position(X!2, T0!1), position(X!2, T!0))))) | (~(smaller(hazard_of_mortality(X!2, T0!1), hazard_of_mortality(X!2, T!0)) | (~greater_or_equal(capability(X!2, T0!1), capability(X!2, T!0))) | (~greater(position(X!2, T0!1), position(X!2, T!0))))) | (~((hazard_of_mortality(X!2, T0!1) = hazard_of_mortality(X!2, T!0)) | (~(capability(X!2, T0!1) = capability(X!2, T!0))) | (~(position(X!2, T0!1) = position(X!2, T!0))))))))),
% 0.21/0.45 inference(rewrite,[status(thm)],[])).
% 0.21/0.45 tff(92,plain,
% 0.21/0.45 ((~((~(smaller(hazard_of_mortality(X!2, T0!1), hazard_of_mortality(X!2, T!0)) | (~greater(capability(X!2, T0!1), capability(X!2, T!0))) | (~greater_or_equal(position(X!2, T0!1), position(X!2, T!0))))) | (~(smaller(hazard_of_mortality(X!2, T0!1), hazard_of_mortality(X!2, T!0)) | (~greater_or_equal(capability(X!2, T0!1), capability(X!2, T!0))) | (~greater(position(X!2, T0!1), position(X!2, T!0))))) | (~((hazard_of_mortality(X!2, T0!1) = hazard_of_mortality(X!2, T!0)) | (~(capability(X!2, T0!1) = capability(X!2, T!0))) | (~(position(X!2, T0!1) = position(X!2, T!0))))))) <=> (~((~(smaller(hazard_of_mortality(X!2, T0!1), hazard_of_mortality(X!2, T!0)) | (~greater(capability(X!2, T0!1), capability(X!2, T!0))) | (~greater_or_equal(position(X!2, T0!1), position(X!2, T!0))))) | (~(smaller(hazard_of_mortality(X!2, T0!1), hazard_of_mortality(X!2, T!0)) | (~greater_or_equal(capability(X!2, T0!1), capability(X!2, T!0))) | (~greater(position(X!2, T0!1), position(X!2, T!0))))) | (~((hazard_of_mortality(X!2, T0!1) = hazard_of_mortality(X!2, T!0)) | (~(capability(X!2, T0!1) = capability(X!2, T!0))) | (~(position(X!2, T0!1) = position(X!2, T!0)))))))),
% 0.21/0.45 inference(rewrite,[status(thm)],[])).
% 0.21/0.45 tff(93,plain,
% 0.21/0.45 ((has_immunity(X!2, T0!1) | has_immunity(X!2, T!0) | (~organization(X!2)) | (~((~(smaller(hazard_of_mortality(X!2, T0!1), hazard_of_mortality(X!2, T!0)) | (~greater(capability(X!2, T0!1), capability(X!2, T!0))) | (~greater_or_equal(position(X!2, T0!1), position(X!2, T!0))))) | (~(smaller(hazard_of_mortality(X!2, T0!1), hazard_of_mortality(X!2, T!0)) | (~greater_or_equal(capability(X!2, T0!1), capability(X!2, T!0))) | (~greater(position(X!2, T0!1), position(X!2, T!0))))) | (~((hazard_of_mortality(X!2, T0!1) = hazard_of_mortality(X!2, T!0)) | (~(capability(X!2, T0!1) = capability(X!2, T!0))) | (~(position(X!2, T0!1) = position(X!2, T!0)))))))) <=> (has_immunity(X!2, T0!1) | has_immunity(X!2, T!0) | (~organization(X!2)) | (~((~(smaller(hazard_of_mortality(X!2, T0!1), hazard_of_mortality(X!2, T!0)) | (~greater(capability(X!2, T0!1), capability(X!2, T!0))) | (~greater_or_equal(position(X!2, T0!1), position(X!2, T!0))))) | (~(smaller(hazard_of_mortality(X!2, T0!1), hazard_of_mortality(X!2, T!0)) | (~greater_or_equal(capability(X!2, T0!1), capability(X!2, T!0))) | (~greater(position(X!2, T0!1), position(X!2, T!0))))) | (~((hazard_of_mortality(X!2, T0!1) = hazard_of_mortality(X!2, T!0)) | (~(capability(X!2, T0!1) = capability(X!2, T!0))) | (~(position(X!2, T0!1) = position(X!2, T!0))))))))),
% 0.21/0.45 inference(monotonicity,[status(thm)],[92])).
% 0.21/0.46 tff(94,plain,
% 0.21/0.46 ((has_immunity(X!2, T0!1) | has_immunity(X!2, T!0) | (~organization(X!2)) | (~((~(smaller(hazard_of_mortality(X!2, T0!1), hazard_of_mortality(X!2, T!0)) | (~greater(capability(X!2, T0!1), capability(X!2, T!0))) | (~greater_or_equal(position(X!2, T0!1), position(X!2, T!0))))) | (~(smaller(hazard_of_mortality(X!2, T0!1), hazard_of_mortality(X!2, T!0)) | (~greater_or_equal(capability(X!2, T0!1), capability(X!2, T!0))) | (~greater(position(X!2, T0!1), position(X!2, T!0))))) | (~((hazard_of_mortality(X!2, T0!1) = hazard_of_mortality(X!2, T!0)) | (~(capability(X!2, T0!1) = capability(X!2, T!0))) | (~(position(X!2, T0!1) = position(X!2, T!0)))))))) <=> ((~organization(X!2)) | has_immunity(X!2, T0!1) | has_immunity(X!2, T!0) | (~((~(smaller(hazard_of_mortality(X!2, T0!1), hazard_of_mortality(X!2, T!0)) | (~greater(capability(X!2, T0!1), capability(X!2, T!0))) | (~greater_or_equal(position(X!2, T0!1), position(X!2, T!0))))) | (~(smaller(hazard_of_mortality(X!2, T0!1), hazard_of_mortality(X!2, T!0)) | (~greater_or_equal(capability(X!2, T0!1), capability(X!2, T!0))) | (~greater(position(X!2, T0!1), position(X!2, T!0))))) | (~((hazard_of_mortality(X!2, T0!1) = hazard_of_mortality(X!2, T!0)) | (~(capability(X!2, T0!1) = capability(X!2, T!0))) | (~(position(X!2, T0!1) = position(X!2, T!0))))))))),
% 0.21/0.46 inference(transitivity,[status(thm)],[93, 91])).
% 0.21/0.46 tff(95,plain,
% 0.21/0.46 (((~![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!2, T0!1) | has_immunity(X!2, T!0) | (~organization(X!2)) | (~((~(smaller(hazard_of_mortality(X!2, T0!1), hazard_of_mortality(X!2, T!0)) | (~greater(capability(X!2, T0!1), capability(X!2, T!0))) | (~greater_or_equal(position(X!2, T0!1), position(X!2, T!0))))) | (~(smaller(hazard_of_mortality(X!2, T0!1), hazard_of_mortality(X!2, T!0)) | (~greater_or_equal(capability(X!2, T0!1), capability(X!2, T!0))) | (~greater(position(X!2, T0!1), position(X!2, T!0))))) | (~((hazard_of_mortality(X!2, T0!1) = hazard_of_mortality(X!2, T!0)) | (~(capability(X!2, T0!1) = capability(X!2, T!0))) | (~(position(X!2, T0!1) = position(X!2, T!0))))))))) <=> ((~![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!2)) | has_immunity(X!2, T0!1) | has_immunity(X!2, T!0) | (~((~(smaller(hazard_of_mortality(X!2, T0!1), hazard_of_mortality(X!2, T!0)) | (~greater(capability(X!2, T0!1), capability(X!2, T!0))) | (~greater_or_equal(position(X!2, T0!1), position(X!2, T!0))))) | (~(smaller(hazard_of_mortality(X!2, T0!1), hazard_of_mortality(X!2, T!0)) | (~greater_or_equal(capability(X!2, T0!1), capability(X!2, T!0))) | (~greater(position(X!2, T0!1), position(X!2, T!0))))) | (~((hazard_of_mortality(X!2, T0!1) = hazard_of_mortality(X!2, T!0)) | (~(capability(X!2, T0!1) = capability(X!2, T!0))) | (~(position(X!2, T0!1) = position(X!2, T!0)))))))))),
% 0.21/0.46 inference(monotonicity,[status(thm)],[94])).
% 0.21/0.46 tff(96,plain,
% 0.21/0.46 (((~![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!2, T0!1) | has_immunity(X!2, T!0) | (~organization(X!2)) | (~((~(smaller(hazard_of_mortality(X!2, T0!1), hazard_of_mortality(X!2, T!0)) | (~greater(capability(X!2, T0!1), capability(X!2, T!0))) | (~greater_or_equal(position(X!2, T0!1), position(X!2, T!0))))) | (~(smaller(hazard_of_mortality(X!2, T0!1), hazard_of_mortality(X!2, T!0)) | (~greater_or_equal(capability(X!2, T0!1), capability(X!2, T!0))) | (~greater(position(X!2, T0!1), position(X!2, T!0))))) | (~((hazard_of_mortality(X!2, T0!1) = hazard_of_mortality(X!2, T!0)) | (~(capability(X!2, T0!1) = capability(X!2, T!0))) | (~(position(X!2, T0!1) = position(X!2, T!0))))))))) <=> ((~![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!2)) | has_immunity(X!2, T0!1) | has_immunity(X!2, T!0) | (~((~(smaller(hazard_of_mortality(X!2, T0!1), hazard_of_mortality(X!2, T!0)) | (~greater(capability(X!2, T0!1), capability(X!2, T!0))) | (~greater_or_equal(position(X!2, T0!1), position(X!2, T!0))))) | (~(smaller(hazard_of_mortality(X!2, T0!1), hazard_of_mortality(X!2, T!0)) | (~greater_or_equal(capability(X!2, T0!1), capability(X!2, T!0))) | (~greater(position(X!2, T0!1), position(X!2, T!0))))) | (~((hazard_of_mortality(X!2, T0!1) = hazard_of_mortality(X!2, T!0)) | (~(capability(X!2, T0!1) = capability(X!2, T!0))) | (~(position(X!2, T0!1) = position(X!2, T!0))))))))),
% 0.21/0.46 inference(transitivity,[status(thm)],[95, 90])).
% 0.21/0.46 tff(97,plain,
% 0.21/0.46 ((~![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!2, T0!1) | has_immunity(X!2, T!0) | (~organization(X!2)) | (~((~(smaller(hazard_of_mortality(X!2, T0!1), hazard_of_mortality(X!2, T!0)) | (~greater(capability(X!2, T0!1), capability(X!2, T!0))) | (~greater_or_equal(position(X!2, T0!1), position(X!2, T!0))))) | (~(smaller(hazard_of_mortality(X!2, T0!1), hazard_of_mortality(X!2, T!0)) | (~greater_or_equal(capability(X!2, T0!1), capability(X!2, T!0))) | (~greater(position(X!2, T0!1), position(X!2, T!0))))) | (~((hazard_of_mortality(X!2, T0!1) = hazard_of_mortality(X!2, T!0)) | (~(capability(X!2, T0!1) = capability(X!2, T!0))) | (~(position(X!2, T0!1) = position(X!2, T!0))))))))),
% 0.21/0.46 inference(quant_inst,[status(thm)],[])).
% 0.21/0.46 tff(98,plain,
% 0.21/0.46 ((~![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!2)) | has_immunity(X!2, T0!1) | has_immunity(X!2, T!0) | (~((~(smaller(hazard_of_mortality(X!2, T0!1), hazard_of_mortality(X!2, T!0)) | (~greater(capability(X!2, T0!1), capability(X!2, T!0))) | (~greater_or_equal(position(X!2, T0!1), position(X!2, T!0))))) | (~(smaller(hazard_of_mortality(X!2, T0!1), hazard_of_mortality(X!2, T!0)) | (~greater_or_equal(capability(X!2, T0!1), capability(X!2, T!0))) | (~greater(position(X!2, T0!1), position(X!2, T!0))))) | (~((hazard_of_mortality(X!2, T0!1) = hazard_of_mortality(X!2, T!0)) | (~(capability(X!2, T0!1) = capability(X!2, T!0))) | (~(position(X!2, T0!1) = position(X!2, T!0)))))))),
% 0.21/0.47 inference(modus_ponens,[status(thm)],[97, 96])).
% 0.21/0.47 tff(99,plain,
% 0.21/0.47 (has_immunity(X!2, T0!1) | has_immunity(X!2, T!0) | (~((~(smaller(hazard_of_mortality(X!2, T0!1), hazard_of_mortality(X!2, T!0)) | (~greater(capability(X!2, T0!1), capability(X!2, T!0))) | (~greater_or_equal(position(X!2, T0!1), position(X!2, T!0))))) | (~(smaller(hazard_of_mortality(X!2, T0!1), hazard_of_mortality(X!2, T!0)) | (~greater_or_equal(capability(X!2, T0!1), capability(X!2, T!0))) | (~greater(position(X!2, T0!1), position(X!2, T!0))))) | (~((hazard_of_mortality(X!2, T0!1) = hazard_of_mortality(X!2, T!0)) | (~(capability(X!2, T0!1) = capability(X!2, T!0))) | (~(position(X!2, T0!1) = position(X!2, T!0)))))))),
% 0.21/0.47 inference(unit_resolution,[status(thm)],[98, 89, 13])).
% 0.21/0.47 tff(100,plain,
% 0.21/0.47 (~((~(smaller(hazard_of_mortality(X!2, T0!1), hazard_of_mortality(X!2, T!0)) | (~greater(capability(X!2, T0!1), capability(X!2, T!0))) | (~greater_or_equal(position(X!2, T0!1), position(X!2, T!0))))) | (~(smaller(hazard_of_mortality(X!2, T0!1), hazard_of_mortality(X!2, T!0)) | (~greater_or_equal(capability(X!2, T0!1), capability(X!2, T!0))) | (~greater(position(X!2, T0!1), position(X!2, T!0))))) | (~((hazard_of_mortality(X!2, T0!1) = hazard_of_mortality(X!2, T!0)) | (~(capability(X!2, T0!1) = capability(X!2, T!0))) | (~(position(X!2, T0!1) = position(X!2, T!0))))))),
% 0.21/0.47 inference(unit_resolution,[status(thm)],[99, 76, 67])).
% 0.21/0.47 tff(101,plain,
% 0.21/0.47 (((~(smaller(hazard_of_mortality(X!2, T0!1), hazard_of_mortality(X!2, T!0)) | (~greater(capability(X!2, T0!1), capability(X!2, T!0))) | (~greater_or_equal(position(X!2, T0!1), position(X!2, T!0))))) | (~(smaller(hazard_of_mortality(X!2, T0!1), hazard_of_mortality(X!2, T!0)) | (~greater_or_equal(capability(X!2, T0!1), capability(X!2, T!0))) | (~greater(position(X!2, T0!1), position(X!2, T!0))))) | (~((hazard_of_mortality(X!2, T0!1) = hazard_of_mortality(X!2, T!0)) | (~(capability(X!2, T0!1) = capability(X!2, T!0))) | (~(position(X!2, T0!1) = position(X!2, T!0)))))) | (smaller(hazard_of_mortality(X!2, T0!1), hazard_of_mortality(X!2, T!0)) | (~greater(capability(X!2, T0!1), capability(X!2, T!0))) | (~greater_or_equal(position(X!2, T0!1), position(X!2, T!0))))),
% 0.21/0.47 inference(tautology,[status(thm)],[])).
% 0.21/0.47 tff(102,plain,
% 0.21/0.47 (smaller(hazard_of_mortality(X!2, T0!1), hazard_of_mortality(X!2, T!0)) | (~greater(capability(X!2, T0!1), capability(X!2, T!0))) | (~greater_or_equal(position(X!2, T0!1), position(X!2, T!0)))),
% 0.21/0.47 inference(unit_resolution,[status(thm)],[101, 100])).
% 0.21/0.47 tff(103,plain,
% 0.21/0.47 (^[X: $i, T0: $i, T: $i] : refl(((~organization(X)) | (stock_of_knowledge(X, T) = stock_of_knowledge(X, T0))) <=> ((~organization(X)) | (stock_of_knowledge(X, T) = stock_of_knowledge(X, T0))))),
% 0.21/0.47 inference(bind,[status(th)],[])).
% 0.21/0.47 tff(104,plain,
% 0.21/0.47 (![X: $i, T0: $i, T: $i] : ((~organization(X)) | (stock_of_knowledge(X, T) = stock_of_knowledge(X, T0))) <=> ![X: $i, T0: $i, T: $i] : ((~organization(X)) | (stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)))),
% 0.21/0.47 inference(quant_intro,[status(thm)],[103])).
% 0.21/0.47 tff(105,plain,
% 0.21/0.47 (![X: $i, T0: $i, T: $i] : ((~organization(X)) | (stock_of_knowledge(X, T) = stock_of_knowledge(X, T0))) <=> ![X: $i, T0: $i, T: $i] : ((~organization(X)) | (stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)))),
% 0.21/0.47 inference(rewrite,[status(thm)],[])).
% 0.21/0.47 tff(106,plain,
% 0.21/0.47 (^[X: $i, T0: $i, T: $i] : rewrite((organization(X) => (stock_of_knowledge(X, T) = stock_of_knowledge(X, T0))) <=> ((~organization(X)) | (stock_of_knowledge(X, T) = stock_of_knowledge(X, T0))))),
% 0.21/0.47 inference(bind,[status(th)],[])).
% 0.21/0.47 tff(107,plain,
% 0.21/0.47 (![X: $i, T0: $i, T: $i] : (organization(X) => (stock_of_knowledge(X, T) = stock_of_knowledge(X, T0))) <=> ![X: $i, T0: $i, T: $i] : ((~organization(X)) | (stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)))),
% 0.21/0.47 inference(quant_intro,[status(thm)],[106])).
% 0.21/0.47 tff(108,axiom,(![X: $i, T0: $i, T: $i] : (organization(X) => (stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','assumption_10')).
% 0.21/0.47 tff(109,plain,
% 0.21/0.47 (![X: $i, T0: $i, T: $i] : ((~organization(X)) | (stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)))),
% 0.21/0.47 inference(modus_ponens,[status(thm)],[108, 107])).
% 0.21/0.47 tff(110,plain,
% 0.21/0.47 (![X: $i, T0: $i, T: $i] : ((~organization(X)) | (stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)))),
% 0.21/0.47 inference(modus_ponens,[status(thm)],[109, 105])).
% 0.21/0.47 tff(111,plain,(
% 0.21/0.47 ![X: $i, T0: $i, T: $i] : ((~organization(X)) | (stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)))),
% 0.21/0.47 inference(skolemize,[status(sab)],[110])).
% 0.21/0.47 tff(112,plain,
% 0.21/0.47 (![X: $i, T0: $i, T: $i] : ((~organization(X)) | (stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)))),
% 0.21/0.47 inference(modus_ponens,[status(thm)],[111, 104])).
% 0.21/0.47 tff(113,plain,
% 0.21/0.47 (((~![X: $i, T0: $i, T: $i] : ((~organization(X)) | (stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)))) | ((~organization(X!2)) | (stock_of_knowledge(X!2, T!0) = stock_of_knowledge(X!2, T0!1)))) <=> ((~![X: $i, T0: $i, T: $i] : ((~organization(X)) | (stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)))) | (~organization(X!2)) | (stock_of_knowledge(X!2, T!0) = stock_of_knowledge(X!2, T0!1)))),
% 0.21/0.47 inference(rewrite,[status(thm)],[])).
% 0.21/0.47 tff(114,plain,
% 0.21/0.47 ((~![X: $i, T0: $i, T: $i] : ((~organization(X)) | (stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)))) | ((~organization(X!2)) | (stock_of_knowledge(X!2, T!0) = stock_of_knowledge(X!2, T0!1)))),
% 0.21/0.47 inference(quant_inst,[status(thm)],[])).
% 0.21/0.47 tff(115,plain,
% 0.21/0.47 ((~![X: $i, T0: $i, T: $i] : ((~organization(X)) | (stock_of_knowledge(X, T) = stock_of_knowledge(X, T0)))) | (~organization(X!2)) | (stock_of_knowledge(X!2, T!0) = stock_of_knowledge(X!2, T0!1))),
% 0.21/0.47 inference(modus_ponens,[status(thm)],[114, 113])).
% 0.21/0.47 tff(116,plain,
% 0.21/0.47 (stock_of_knowledge(X!2, T!0) = stock_of_knowledge(X!2, T0!1)),
% 0.21/0.47 inference(unit_resolution,[status(thm)],[115, 112, 13])).
% 0.21/0.47 tff(117,plain,
% 0.21/0.47 (stock_of_knowledge(X!2, T0!1) = stock_of_knowledge(X!2, T!0)),
% 0.21/0.47 inference(symmetry,[status(thm)],[116])).
% 0.21/0.47 tff(118,plain,
% 0.21/0.47 (smaller_or_equal(stock_of_knowledge(X!2, T0!1), stock_of_knowledge(X!2, T0!1)) <=> smaller_or_equal(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1))),
% 0.21/0.47 inference(monotonicity,[status(thm)],[117])).
% 0.21/0.47 tff(119,plain,
% 0.21/0.47 (smaller_or_equal(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1)) <=> smaller_or_equal(stock_of_knowledge(X!2, T0!1), stock_of_knowledge(X!2, T0!1))),
% 0.21/0.47 inference(symmetry,[status(thm)],[118])).
% 0.21/0.47 tff(120,plain,
% 0.21/0.47 ((~smaller_or_equal(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1))) <=> (~smaller_or_equal(stock_of_knowledge(X!2, T0!1), stock_of_knowledge(X!2, T0!1)))),
% 0.21/0.47 inference(monotonicity,[status(thm)],[119])).
% 0.21/0.47 tff(121,plain,
% 0.21/0.47 (^[X: $i, Y: $i] : refl((smaller(X, Y) <=> greater(Y, X)) <=> (smaller(X, Y) <=> greater(Y, X)))),
% 0.21/0.47 inference(bind,[status(th)],[])).
% 0.21/0.47 tff(122,plain,
% 0.21/0.47 (![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X)) <=> ![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))),
% 0.21/0.47 inference(quant_intro,[status(thm)],[121])).
% 0.21/0.47 tff(123,plain,
% 0.21/0.47 (![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X)) <=> ![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))),
% 0.21/0.47 inference(rewrite,[status(thm)],[])).
% 0.21/0.47 tff(124,axiom,(![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))), file('/export/starexec/sandbox/benchmark/Axioms/MGT001+0.ax','definition_smaller')).
% 0.21/0.47 tff(125,plain,
% 0.21/0.47 (![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))),
% 0.21/0.47 inference(modus_ponens,[status(thm)],[124, 123])).
% 0.21/0.47 tff(126,plain,(
% 0.21/0.47 ![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))),
% 0.21/0.47 inference(skolemize,[status(sab)],[125])).
% 0.21/0.47 tff(127,plain,
% 0.21/0.47 (![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))),
% 0.21/0.47 inference(modus_ponens,[status(thm)],[126, 122])).
% 0.21/0.47 tff(128,plain,
% 0.21/0.47 ((~![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))) | (smaller(capability(X!2, T!0), capability(X!2, T0!1)) <=> greater(capability(X!2, T0!1), capability(X!2, T!0)))),
% 0.21/0.47 inference(quant_inst,[status(thm)],[])).
% 0.21/0.47 tff(129,plain,
% 0.21/0.47 (smaller(capability(X!2, T!0), capability(X!2, T0!1)) <=> greater(capability(X!2, T0!1), capability(X!2, T!0))),
% 0.21/0.47 inference(unit_resolution,[status(thm)],[128, 127])).
% 0.21/0.47 tff(130,assumption,(~greater(capability(X!2, T0!1), capability(X!2, T!0))), introduced(assumption)).
% 0.21/0.47 tff(131,plain,
% 0.21/0.47 ((~(smaller(capability(X!2, T!0), capability(X!2, T0!1)) <=> greater(capability(X!2, T0!1), capability(X!2, T!0)))) | (~smaller(capability(X!2, T!0), capability(X!2, T0!1))) | greater(capability(X!2, T0!1), capability(X!2, T!0))),
% 0.21/0.47 inference(tautology,[status(thm)],[])).
% 0.21/0.47 tff(132,plain,
% 0.21/0.47 ((~(smaller(capability(X!2, T!0), capability(X!2, T0!1)) <=> greater(capability(X!2, T0!1), capability(X!2, T!0)))) | (~smaller(capability(X!2, T!0), capability(X!2, T0!1)))),
% 0.21/0.47 inference(unit_resolution,[status(thm)],[131, 130])).
% 0.21/0.47 tff(133,plain,
% 0.21/0.47 (~smaller(capability(X!2, T!0), capability(X!2, T0!1))),
% 0.21/0.47 inference(unit_resolution,[status(thm)],[132, 129])).
% 0.21/0.47 tff(134,plain,
% 0.21/0.47 (^[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)))))))))),
% 0.21/0.47 inference(bind,[status(th)],[])).
% 0.21/0.47 tff(135,plain,
% 0.21/0.47 (![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))))))))),
% 0.21/0.47 inference(quant_intro,[status(thm)],[134])).
% 0.21/0.47 tff(136,plain,
% 0.21/0.47 (^[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)))))))))),
% 0.21/0.47 inference(bind,[status(th)],[])).
% 0.21/0.47 tff(137,plain,
% 0.21/0.47 (![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))))))))),
% 0.21/0.47 inference(quant_intro,[status(thm)],[136])).
% 0.21/0.47 tff(138,plain,
% 0.21/0.47 (![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)))))),
% 0.21/0.47 inference(rewrite,[status(thm)],[])).
% 0.21/0.47 tff(139,plain,
% 0.21/0.47 (^[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)))))))),
% 0.21/0.48 inference(bind,[status(th)],[])).
% 0.21/0.48 tff(140,plain,
% 0.21/0.48 (![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)))))),
% 0.21/0.48 inference(quant_intro,[status(thm)],[139])).
% 0.21/0.48 tff(141,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/sandbox/benchmark/theBenchmark.p','assumption_5')).
% 0.21/0.48 tff(142,plain,
% 0.21/0.48 (![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)))))),
% 0.21/0.48 inference(modus_ponens,[status(thm)],[141, 140])).
% 0.21/0.48 tff(143,plain,
% 0.21/0.48 (![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)))))),
% 0.21/0.48 inference(modus_ponens,[status(thm)],[142, 138])).
% 0.21/0.48 tff(144,plain,(
% 0.21/0.48 ![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)))))),
% 0.21/0.48 inference(skolemize,[status(sab)],[143])).
% 0.21/0.48 tff(145,plain,
% 0.21/0.48 (![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))))))))),
% 0.21/0.48 inference(modus_ponens,[status(thm)],[144, 137])).
% 0.21/0.48 tff(146,plain,
% 0.21/0.48 (![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))))))))),
% 0.21/0.48 inference(modus_ponens,[status(thm)],[145, 135])).
% 0.21/0.48 tff(147,plain,
% 0.21/0.48 (((~![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!2)) | (~((~(greater(capability(X!2, T!0), capability(X!2, T0!1)) | (~greater(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1))) | (~smaller_or_equal(internal_friction(X!2, T!0), internal_friction(X!2, T0!1))))) | (~(smaller(capability(X!2, T!0), capability(X!2, T0!1)) | (~smaller_or_equal(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1))) | (~greater(internal_friction(X!2, T!0), internal_friction(X!2, T0!1))))) | (~((capability(X!2, T!0) = capability(X!2, T0!1)) | (~(stock_of_knowledge(X!2, T!0) = stock_of_knowledge(X!2, T0!1))) | (~(internal_friction(X!2, T!0) = internal_friction(X!2, T0!1))))))))) <=> ((~![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!2)) | (~((~(greater(capability(X!2, T!0), capability(X!2, T0!1)) | (~greater(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1))) | (~smaller_or_equal(internal_friction(X!2, T!0), internal_friction(X!2, T0!1))))) | (~(smaller(capability(X!2, T!0), capability(X!2, T0!1)) | (~smaller_or_equal(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1))) | (~greater(internal_friction(X!2, T!0), internal_friction(X!2, T0!1))))) | (~((capability(X!2, T!0) = capability(X!2, T0!1)) | (~(stock_of_knowledge(X!2, T!0) = stock_of_knowledge(X!2, T0!1))) | (~(internal_friction(X!2, T!0) = internal_friction(X!2, T0!1))))))))),
% 0.21/0.48 inference(rewrite,[status(thm)],[])).
% 0.21/0.48 tff(148,plain,
% 0.21/0.48 ((~![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!2)) | (~((~(greater(capability(X!2, T!0), capability(X!2, T0!1)) | (~greater(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1))) | (~smaller_or_equal(internal_friction(X!2, T!0), internal_friction(X!2, T0!1))))) | (~(smaller(capability(X!2, T!0), capability(X!2, T0!1)) | (~smaller_or_equal(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1))) | (~greater(internal_friction(X!2, T!0), internal_friction(X!2, T0!1))))) | (~((capability(X!2, T!0) = capability(X!2, T0!1)) | (~(stock_of_knowledge(X!2, T!0) = stock_of_knowledge(X!2, T0!1))) | (~(internal_friction(X!2, T!0) = internal_friction(X!2, T0!1))))))))),
% 0.21/0.48 inference(quant_inst,[status(thm)],[])).
% 0.21/0.48 tff(149,plain,
% 0.21/0.48 ((~![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!2)) | (~((~(greater(capability(X!2, T!0), capability(X!2, T0!1)) | (~greater(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1))) | (~smaller_or_equal(internal_friction(X!2, T!0), internal_friction(X!2, T0!1))))) | (~(smaller(capability(X!2, T!0), capability(X!2, T0!1)) | (~smaller_or_equal(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1))) | (~greater(internal_friction(X!2, T!0), internal_friction(X!2, T0!1))))) | (~((capability(X!2, T!0) = capability(X!2, T0!1)) | (~(stock_of_knowledge(X!2, T!0) = stock_of_knowledge(X!2, T0!1))) | (~(internal_friction(X!2, T!0) = internal_friction(X!2, T0!1)))))))),
% 0.21/0.48 inference(modus_ponens,[status(thm)],[148, 147])).
% 0.21/0.48 tff(150,plain,
% 0.21/0.48 (~((~(greater(capability(X!2, T!0), capability(X!2, T0!1)) | (~greater(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1))) | (~smaller_or_equal(internal_friction(X!2, T!0), internal_friction(X!2, T0!1))))) | (~(smaller(capability(X!2, T!0), capability(X!2, T0!1)) | (~smaller_or_equal(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1))) | (~greater(internal_friction(X!2, T!0), internal_friction(X!2, T0!1))))) | (~((capability(X!2, T!0) = capability(X!2, T0!1)) | (~(stock_of_knowledge(X!2, T!0) = stock_of_knowledge(X!2, T0!1))) | (~(internal_friction(X!2, T!0) = internal_friction(X!2, T0!1))))))),
% 0.21/0.48 inference(unit_resolution,[status(thm)],[149, 146, 13])).
% 0.21/0.48 tff(151,plain,
% 0.21/0.48 (((~(greater(capability(X!2, T!0), capability(X!2, T0!1)) | (~greater(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1))) | (~smaller_or_equal(internal_friction(X!2, T!0), internal_friction(X!2, T0!1))))) | (~(smaller(capability(X!2, T!0), capability(X!2, T0!1)) | (~smaller_or_equal(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1))) | (~greater(internal_friction(X!2, T!0), internal_friction(X!2, T0!1))))) | (~((capability(X!2, T!0) = capability(X!2, T0!1)) | (~(stock_of_knowledge(X!2, T!0) = stock_of_knowledge(X!2, T0!1))) | (~(internal_friction(X!2, T!0) = internal_friction(X!2, T0!1)))))) | (smaller(capability(X!2, T!0), capability(X!2, T0!1)) | (~smaller_or_equal(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1))) | (~greater(internal_friction(X!2, T!0), internal_friction(X!2, T0!1))))),
% 0.21/0.48 inference(tautology,[status(thm)],[])).
% 0.21/0.48 tff(152,plain,
% 0.21/0.48 (smaller(capability(X!2, T!0), capability(X!2, T0!1)) | (~smaller_or_equal(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1))) | (~greater(internal_friction(X!2, T!0), internal_friction(X!2, T0!1)))),
% 0.21/0.48 inference(unit_resolution,[status(thm)],[151, 150])).
% 0.21/0.48 tff(153,plain,
% 0.21/0.48 (greater(age(X!2, T!0), age(X!2, T0!1))),
% 0.21/0.48 inference(and_elim,[status(thm)],[12])).
% 0.21/0.48 tff(154,plain,
% 0.21/0.48 (^[X: $i, T0: $i, T: $i] : refl((greater(internal_friction(X, T), internal_friction(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0)))) <=> (greater(internal_friction(X, T), internal_friction(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0)))))),
% 0.21/0.48 inference(bind,[status(th)],[])).
% 0.21/0.48 tff(155,plain,
% 0.21/0.48 (![X: $i, T0: $i, T: $i] : (greater(internal_friction(X, T), internal_friction(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0)))) <=> ![X: $i, T0: $i, T: $i] : (greater(internal_friction(X, T), internal_friction(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0))))),
% 0.21/0.48 inference(quant_intro,[status(thm)],[154])).
% 0.21/0.48 tff(156,plain,
% 0.21/0.48 (^[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(internal_friction(X, T), internal_friction(X, T0))) <=> (((~organization(X)) | (~greater(age(X, T), age(X, T0)))) | greater(internal_friction(X, T), internal_friction(X, T0))))), rewrite((((~organization(X)) | (~greater(age(X, T), age(X, T0)))) | greater(internal_friction(X, T), internal_friction(X, T0))) <=> (greater(internal_friction(X, T), internal_friction(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0))))), (((~(organization(X) & greater(age(X, T), age(X, T0)))) | greater(internal_friction(X, T), internal_friction(X, T0))) <=> (greater(internal_friction(X, T), internal_friction(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0))))))),
% 0.21/0.48 inference(bind,[status(th)],[])).
% 0.21/0.48 tff(157,plain,
% 0.21/0.48 (![X: $i, T0: $i, T: $i] : ((~(organization(X) & greater(age(X, T), age(X, T0)))) | greater(internal_friction(X, T), internal_friction(X, T0))) <=> ![X: $i, T0: $i, T: $i] : (greater(internal_friction(X, T), internal_friction(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0))))),
% 0.21/0.48 inference(quant_intro,[status(thm)],[156])).
% 0.21/0.48 tff(158,plain,
% 0.21/0.48 (![X: $i, T0: $i, T: $i] : ((~(organization(X) & greater(age(X, T), age(X, T0)))) | greater(internal_friction(X, T), internal_friction(X, T0))) <=> ![X: $i, T0: $i, T: $i] : ((~(organization(X) & greater(age(X, T), age(X, T0)))) | greater(internal_friction(X, T), internal_friction(X, T0)))),
% 0.21/0.49 inference(rewrite,[status(thm)],[])).
% 0.21/0.49 tff(159,plain,
% 0.21/0.49 (^[X: $i, T0: $i, T: $i] : rewrite(((organization(X) & greater(age(X, T), age(X, T0))) => greater(internal_friction(X, T), internal_friction(X, T0))) <=> ((~(organization(X) & greater(age(X, T), age(X, T0)))) | greater(internal_friction(X, T), internal_friction(X, T0))))),
% 0.21/0.49 inference(bind,[status(th)],[])).
% 0.21/0.49 tff(160,plain,
% 0.21/0.49 (![X: $i, T0: $i, T: $i] : ((organization(X) & greater(age(X, T), age(X, T0))) => greater(internal_friction(X, T), internal_friction(X, T0))) <=> ![X: $i, T0: $i, T: $i] : ((~(organization(X) & greater(age(X, T), age(X, T0)))) | greater(internal_friction(X, T), internal_friction(X, T0)))),
% 0.21/0.49 inference(quant_intro,[status(thm)],[159])).
% 0.21/0.49 tff(161,axiom,(![X: $i, T0: $i, T: $i] : ((organization(X) & greater(age(X, T), age(X, T0))) => greater(internal_friction(X, T), internal_friction(X, T0)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','assumption_12')).
% 0.21/0.49 tff(162,plain,
% 0.21/0.49 (![X: $i, T0: $i, T: $i] : ((~(organization(X) & greater(age(X, T), age(X, T0)))) | greater(internal_friction(X, T), internal_friction(X, T0)))),
% 0.21/0.49 inference(modus_ponens,[status(thm)],[161, 160])).
% 0.21/0.49 tff(163,plain,
% 0.21/0.49 (![X: $i, T0: $i, T: $i] : ((~(organization(X) & greater(age(X, T), age(X, T0)))) | greater(internal_friction(X, T), internal_friction(X, T0)))),
% 0.21/0.49 inference(modus_ponens,[status(thm)],[162, 158])).
% 0.21/0.49 tff(164,plain,(
% 0.21/0.49 ![X: $i, T0: $i, T: $i] : ((~(organization(X) & greater(age(X, T), age(X, T0)))) | greater(internal_friction(X, T), internal_friction(X, T0)))),
% 0.21/0.49 inference(skolemize,[status(sab)],[163])).
% 0.21/0.49 tff(165,plain,
% 0.21/0.49 (![X: $i, T0: $i, T: $i] : (greater(internal_friction(X, T), internal_friction(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0))))),
% 0.21/0.49 inference(modus_ponens,[status(thm)],[164, 157])).
% 0.21/0.49 tff(166,plain,
% 0.21/0.49 (![X: $i, T0: $i, T: $i] : (greater(internal_friction(X, T), internal_friction(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0))))),
% 0.21/0.49 inference(modus_ponens,[status(thm)],[165, 155])).
% 0.21/0.49 tff(167,plain,
% 0.21/0.49 (((~![X: $i, T0: $i, T: $i] : (greater(internal_friction(X, T), internal_friction(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0))))) | (greater(internal_friction(X!2, T!0), internal_friction(X!2, T0!1)) | (~organization(X!2)) | (~greater(age(X!2, T!0), age(X!2, T0!1))))) <=> ((~![X: $i, T0: $i, T: $i] : (greater(internal_friction(X, T), internal_friction(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0))))) | greater(internal_friction(X!2, T!0), internal_friction(X!2, T0!1)) | (~organization(X!2)) | (~greater(age(X!2, T!0), age(X!2, T0!1))))),
% 0.21/0.49 inference(rewrite,[status(thm)],[])).
% 0.21/0.49 tff(168,plain,
% 0.21/0.49 ((~![X: $i, T0: $i, T: $i] : (greater(internal_friction(X, T), internal_friction(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0))))) | (greater(internal_friction(X!2, T!0), internal_friction(X!2, T0!1)) | (~organization(X!2)) | (~greater(age(X!2, T!0), age(X!2, T0!1))))),
% 0.21/0.49 inference(quant_inst,[status(thm)],[])).
% 0.21/0.49 tff(169,plain,
% 0.21/0.49 ((~![X: $i, T0: $i, T: $i] : (greater(internal_friction(X, T), internal_friction(X, T0)) | (~organization(X)) | (~greater(age(X, T), age(X, T0))))) | greater(internal_friction(X!2, T!0), internal_friction(X!2, T0!1)) | (~organization(X!2)) | (~greater(age(X!2, T!0), age(X!2, T0!1)))),
% 0.21/0.49 inference(modus_ponens,[status(thm)],[168, 167])).
% 0.21/0.49 tff(170,plain,
% 0.21/0.49 (greater(internal_friction(X!2, T!0), internal_friction(X!2, T0!1))),
% 0.21/0.49 inference(unit_resolution,[status(thm)],[169, 166, 13, 153])).
% 0.21/0.49 tff(171,plain,
% 0.21/0.49 ((~(smaller(capability(X!2, T!0), capability(X!2, T0!1)) | (~smaller_or_equal(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1))) | (~greater(internal_friction(X!2, T!0), internal_friction(X!2, T0!1))))) | smaller(capability(X!2, T!0), capability(X!2, T0!1)) | (~smaller_or_equal(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1))) | (~greater(internal_friction(X!2, T!0), internal_friction(X!2, T0!1)))),
% 0.21/0.49 inference(tautology,[status(thm)],[])).
% 0.21/0.49 tff(172,plain,
% 0.21/0.49 ((~(smaller(capability(X!2, T!0), capability(X!2, T0!1)) | (~smaller_or_equal(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1))) | (~greater(internal_friction(X!2, T!0), internal_friction(X!2, T0!1))))) | smaller(capability(X!2, T!0), capability(X!2, T0!1)) | (~smaller_or_equal(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1)))),
% 0.21/0.49 inference(unit_resolution,[status(thm)],[171, 170])).
% 0.21/0.49 tff(173,plain,
% 0.21/0.49 (smaller(capability(X!2, T!0), capability(X!2, T0!1)) | (~smaller_or_equal(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1)))),
% 0.21/0.49 inference(unit_resolution,[status(thm)],[172, 152])).
% 0.21/0.49 tff(174,plain,
% 0.21/0.49 (~smaller_or_equal(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1))),
% 0.21/0.49 inference(unit_resolution,[status(thm)],[173, 133])).
% 0.21/0.49 tff(175,plain,
% 0.21/0.49 (~smaller_or_equal(stock_of_knowledge(X!2, T0!1), stock_of_knowledge(X!2, T0!1))),
% 0.21/0.49 inference(modus_ponens,[status(thm)],[174, 120])).
% 0.21/0.49 tff(176,plain,
% 0.21/0.49 (^[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))))),
% 0.21/0.49 inference(bind,[status(th)],[])).
% 0.21/0.49 tff(177,plain,
% 0.21/0.49 (![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)))),
% 0.21/0.49 inference(quant_intro,[status(thm)],[176])).
% 0.21/0.49 tff(178,plain,
% 0.21/0.49 (![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)))),
% 0.21/0.49 inference(rewrite,[status(thm)],[])).
% 0.21/0.49 tff(179,plain,
% 0.21/0.49 (^[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))))),
% 0.21/0.49 inference(bind,[status(th)],[])).
% 0.21/0.49 tff(180,plain,
% 0.21/0.49 (![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)))),
% 0.21/0.49 inference(quant_intro,[status(thm)],[179])).
% 0.21/0.49 tff(181,axiom,(![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> (smaller(X, Y) | (X = Y)))), file('/export/starexec/sandbox/benchmark/Axioms/MGT001+0.ax','definition_smaller_or_equal')).
% 0.21/0.49 tff(182,plain,
% 0.21/0.49 (![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))),
% 0.21/0.49 inference(modus_ponens,[status(thm)],[181, 180])).
% 0.21/0.49 tff(183,plain,
% 0.21/0.49 (![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))),
% 0.21/0.49 inference(modus_ponens,[status(thm)],[182, 178])).
% 0.21/0.49 tff(184,plain,(
% 0.21/0.49 ![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))),
% 0.21/0.49 inference(skolemize,[status(sab)],[183])).
% 0.21/0.49 tff(185,plain,
% 0.21/0.49 (![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))),
% 0.21/0.49 inference(modus_ponens,[status(thm)],[184, 177])).
% 0.21/0.49 tff(186,plain,
% 0.21/0.49 (((~![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))) | smaller_or_equal(stock_of_knowledge(X!2, T0!1), stock_of_knowledge(X!2, T0!1))) <=> ((~![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))) | smaller_or_equal(stock_of_knowledge(X!2, T0!1), stock_of_knowledge(X!2, T0!1)))),
% 0.21/0.49 inference(rewrite,[status(thm)],[])).
% 0.21/0.49 tff(187,plain,
% 0.21/0.49 ((smaller_or_equal(stock_of_knowledge(X!2, T0!1), stock_of_knowledge(X!2, T0!1)) <=> $true) <=> smaller_or_equal(stock_of_knowledge(X!2, T0!1), stock_of_knowledge(X!2, T0!1))),
% 0.21/0.49 inference(rewrite,[status(thm)],[])).
% 0.21/0.49 tff(188,plain,
% 0.21/0.49 (($true | smaller(stock_of_knowledge(X!2, T0!1), stock_of_knowledge(X!2, T0!1))) <=> $true),
% 0.21/0.49 inference(rewrite,[status(thm)],[])).
% 0.21/0.49 tff(189,plain,
% 0.21/0.49 ((stock_of_knowledge(X!2, T0!1) = stock_of_knowledge(X!2, T0!1)) <=> $true),
% 0.21/0.49 inference(rewrite,[status(thm)],[])).
% 0.21/0.49 tff(190,plain,
% 0.21/0.49 (((stock_of_knowledge(X!2, T0!1) = stock_of_knowledge(X!2, T0!1)) | smaller(stock_of_knowledge(X!2, T0!1), stock_of_knowledge(X!2, T0!1))) <=> ($true | smaller(stock_of_knowledge(X!2, T0!1), stock_of_knowledge(X!2, T0!1)))),
% 0.21/0.49 inference(monotonicity,[status(thm)],[189])).
% 0.21/0.49 tff(191,plain,
% 0.21/0.49 (((stock_of_knowledge(X!2, T0!1) = stock_of_knowledge(X!2, T0!1)) | smaller(stock_of_knowledge(X!2, T0!1), stock_of_knowledge(X!2, T0!1))) <=> $true),
% 0.21/0.49 inference(transitivity,[status(thm)],[190, 188])).
% 0.21/0.49 tff(192,plain,
% 0.21/0.49 ((smaller_or_equal(stock_of_knowledge(X!2, T0!1), stock_of_knowledge(X!2, T0!1)) <=> ((stock_of_knowledge(X!2, T0!1) = stock_of_knowledge(X!2, T0!1)) | smaller(stock_of_knowledge(X!2, T0!1), stock_of_knowledge(X!2, T0!1)))) <=> (smaller_or_equal(stock_of_knowledge(X!2, T0!1), stock_of_knowledge(X!2, T0!1)) <=> $true)),
% 0.21/0.49 inference(monotonicity,[status(thm)],[191])).
% 0.21/0.49 tff(193,plain,
% 0.21/0.49 ((smaller_or_equal(stock_of_knowledge(X!2, T0!1), stock_of_knowledge(X!2, T0!1)) <=> ((stock_of_knowledge(X!2, T0!1) = stock_of_knowledge(X!2, T0!1)) | smaller(stock_of_knowledge(X!2, T0!1), stock_of_knowledge(X!2, T0!1)))) <=> smaller_or_equal(stock_of_knowledge(X!2, T0!1), stock_of_knowledge(X!2, T0!1))),
% 0.21/0.49 inference(transitivity,[status(thm)],[192, 187])).
% 0.21/0.49 tff(194,plain,
% 0.21/0.49 (((~![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))) | (smaller_or_equal(stock_of_knowledge(X!2, T0!1), stock_of_knowledge(X!2, T0!1)) <=> ((stock_of_knowledge(X!2, T0!1) = stock_of_knowledge(X!2, T0!1)) | smaller(stock_of_knowledge(X!2, T0!1), stock_of_knowledge(X!2, T0!1))))) <=> ((~![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))) | smaller_or_equal(stock_of_knowledge(X!2, T0!1), stock_of_knowledge(X!2, T0!1)))),
% 0.21/0.49 inference(monotonicity,[status(thm)],[193])).
% 0.21/0.49 tff(195,plain,
% 0.21/0.49 (((~![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))) | (smaller_or_equal(stock_of_knowledge(X!2, T0!1), stock_of_knowledge(X!2, T0!1)) <=> ((stock_of_knowledge(X!2, T0!1) = stock_of_knowledge(X!2, T0!1)) | smaller(stock_of_knowledge(X!2, T0!1), stock_of_knowledge(X!2, T0!1))))) <=> ((~![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))) | smaller_or_equal(stock_of_knowledge(X!2, T0!1), stock_of_knowledge(X!2, T0!1)))),
% 0.21/0.50 inference(transitivity,[status(thm)],[194, 186])).
% 0.21/0.50 tff(196,plain,
% 0.21/0.50 ((~![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))) | (smaller_or_equal(stock_of_knowledge(X!2, T0!1), stock_of_knowledge(X!2, T0!1)) <=> ((stock_of_knowledge(X!2, T0!1) = stock_of_knowledge(X!2, T0!1)) | smaller(stock_of_knowledge(X!2, T0!1), stock_of_knowledge(X!2, T0!1))))),
% 0.21/0.50 inference(quant_inst,[status(thm)],[])).
% 0.21/0.50 tff(197,plain,
% 0.21/0.50 ((~![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))) | smaller_or_equal(stock_of_knowledge(X!2, T0!1), stock_of_knowledge(X!2, T0!1))),
% 0.21/0.50 inference(modus_ponens,[status(thm)],[196, 195])).
% 0.21/0.50 tff(198,plain,
% 0.21/0.50 (smaller_or_equal(stock_of_knowledge(X!2, T0!1), stock_of_knowledge(X!2, T0!1))),
% 0.21/0.50 inference(unit_resolution,[status(thm)],[197, 185])).
% 0.21/0.50 tff(199,plain,
% 0.21/0.50 ($false),
% 0.21/0.50 inference(unit_resolution,[status(thm)],[198, 175])).
% 0.21/0.50 tff(200,plain,(greater(capability(X!2, T0!1), capability(X!2, T!0))), inference(lemma,lemma(discharge,[]))).
% 0.21/0.50 tff(201,plain,
% 0.21/0.50 ((~![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))) | (smaller(hazard_of_mortality(X!2, T0!1), hazard_of_mortality(X!2, T!0)) <=> greater(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1)))),
% 0.21/0.50 inference(quant_inst,[status(thm)],[])).
% 0.21/0.50 tff(202,plain,
% 0.21/0.50 (smaller(hazard_of_mortality(X!2, T0!1), hazard_of_mortality(X!2, T!0)) <=> greater(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1))),
% 0.21/0.50 inference(unit_resolution,[status(thm)],[201, 127])).
% 0.21/0.50 tff(203,plain,
% 0.21/0.50 (~greater(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1))),
% 0.21/0.50 inference(or_elim,[status(thm)],[11])).
% 0.21/0.50 tff(204,plain,
% 0.21/0.50 ((~(smaller(hazard_of_mortality(X!2, T0!1), hazard_of_mortality(X!2, T!0)) <=> greater(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1)))) | (~smaller(hazard_of_mortality(X!2, T0!1), hazard_of_mortality(X!2, T!0))) | greater(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1))),
% 0.21/0.50 inference(tautology,[status(thm)],[])).
% 0.21/0.50 tff(205,plain,
% 0.21/0.50 ((~(smaller(hazard_of_mortality(X!2, T0!1), hazard_of_mortality(X!2, T!0)) <=> greater(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1)))) | (~smaller(hazard_of_mortality(X!2, T0!1), hazard_of_mortality(X!2, T!0)))),
% 0.21/0.50 inference(unit_resolution,[status(thm)],[204, 203])).
% 0.21/0.50 tff(206,plain,
% 0.21/0.50 (~smaller(hazard_of_mortality(X!2, T0!1), hazard_of_mortality(X!2, T!0))),
% 0.21/0.50 inference(unit_resolution,[status(thm)],[205, 202])).
% 0.21/0.50 tff(207,plain,
% 0.21/0.50 ((~(smaller(hazard_of_mortality(X!2, T0!1), hazard_of_mortality(X!2, T!0)) | (~greater(capability(X!2, T0!1), capability(X!2, T!0))) | (~greater_or_equal(position(X!2, T0!1), position(X!2, T!0))))) | smaller(hazard_of_mortality(X!2, T0!1), hazard_of_mortality(X!2, T!0)) | (~greater(capability(X!2, T0!1), capability(X!2, T!0))) | (~greater_or_equal(position(X!2, T0!1), position(X!2, T!0)))),
% 0.21/0.50 inference(tautology,[status(thm)],[])).
% 0.21/0.50 tff(208,plain,
% 0.21/0.50 ((~(smaller(hazard_of_mortality(X!2, T0!1), hazard_of_mortality(X!2, T!0)) | (~greater(capability(X!2, T0!1), capability(X!2, T!0))) | (~greater_or_equal(position(X!2, T0!1), position(X!2, T!0))))) | (~greater(capability(X!2, T0!1), capability(X!2, T!0))) | (~greater_or_equal(position(X!2, T0!1), position(X!2, T!0)))),
% 0.21/0.50 inference(unit_resolution,[status(thm)],[207, 206])).
% 0.21/0.50 tff(209,plain,
% 0.21/0.50 (~greater_or_equal(position(X!2, T0!1), position(X!2, T!0))),
% 0.21/0.50 inference(unit_resolution,[status(thm)],[208, 200, 102])).
% 0.21/0.50 tff(210,plain,
% 0.21/0.50 ((~(greater_or_equal(position(X!2, T0!1), position(X!2, T!0)) <=> ((position(X!2, T0!1) = position(X!2, T!0)) | greater(position(X!2, T0!1), position(X!2, T!0))))) | greater_or_equal(position(X!2, T0!1), position(X!2, T!0)) | (~((position(X!2, T0!1) = position(X!2, T!0)) | greater(position(X!2, T0!1), position(X!2, T!0))))),
% 0.21/0.50 inference(tautology,[status(thm)],[])).
% 0.21/0.50 tff(211,plain,
% 0.21/0.50 ((~(greater_or_equal(position(X!2, T0!1), position(X!2, T!0)) <=> ((position(X!2, T0!1) = position(X!2, T!0)) | greater(position(X!2, T0!1), position(X!2, T!0))))) | (~((position(X!2, T0!1) = position(X!2, T!0)) | greater(position(X!2, T0!1), position(X!2, T!0))))),
% 0.21/0.50 inference(unit_resolution,[status(thm)],[210, 209])).
% 0.21/0.50 tff(212,plain,
% 0.21/0.50 (~((position(X!2, T0!1) = position(X!2, T!0)) | greater(position(X!2, T0!1), position(X!2, T!0)))),
% 0.21/0.50 inference(unit_resolution,[status(thm)],[211, 44])).
% 0.21/0.50 tff(213,plain,
% 0.21/0.50 (((position(X!2, T0!1) = position(X!2, T!0)) | greater(position(X!2, T0!1), position(X!2, T!0))) | (~(position(X!2, T0!1) = position(X!2, T!0)))),
% 0.21/0.50 inference(tautology,[status(thm)],[])).
% 0.21/0.50 tff(214,plain,
% 0.21/0.50 (~(position(X!2, T0!1) = position(X!2, T!0))),
% 0.21/0.50 inference(unit_resolution,[status(thm)],[213, 212])).
% 0.21/0.50 tff(215,plain,
% 0.21/0.50 ((~((~(external_ties(X!2, T0!1) = external_ties(X!2, T!0))) | (position(X!2, T0!1) = position(X!2, T!0)))) | (~(external_ties(X!2, T0!1) = external_ties(X!2, T!0))) | (position(X!2, T0!1) = position(X!2, T!0))),
% 0.21/0.50 inference(tautology,[status(thm)],[])).
% 0.21/0.50 tff(216,plain,
% 0.21/0.50 ((~((~(external_ties(X!2, T0!1) = external_ties(X!2, T!0))) | (position(X!2, T0!1) = position(X!2, T!0)))) | (~(external_ties(X!2, T0!1) = external_ties(X!2, T!0)))),
% 0.21/0.50 inference(unit_resolution,[status(thm)],[215, 214])).
% 0.21/0.50 tff(217,plain,
% 0.21/0.50 (~(external_ties(X!2, T0!1) = external_ties(X!2, T!0))),
% 0.21/0.50 inference(unit_resolution,[status(thm)],[216, 32])).
% 0.21/0.50 tff(218,plain,
% 0.21/0.50 (^[X: $i, T0: $i, T: $i] : refl(((~organization(X)) | (external_ties(X, T) = external_ties(X, T0))) <=> ((~organization(X)) | (external_ties(X, T) = external_ties(X, T0))))),
% 0.21/0.50 inference(bind,[status(th)],[])).
% 0.21/0.50 tff(219,plain,
% 0.21/0.50 (![X: $i, T0: $i, T: $i] : ((~organization(X)) | (external_ties(X, T) = external_ties(X, T0))) <=> ![X: $i, T0: $i, T: $i] : ((~organization(X)) | (external_ties(X, T) = external_ties(X, T0)))),
% 0.21/0.50 inference(quant_intro,[status(thm)],[218])).
% 0.21/0.50 tff(220,plain,
% 0.21/0.50 (![X: $i, T0: $i, T: $i] : ((~organization(X)) | (external_ties(X, T) = external_ties(X, T0))) <=> ![X: $i, T0: $i, T: $i] : ((~organization(X)) | (external_ties(X, T) = external_ties(X, T0)))),
% 0.21/0.50 inference(rewrite,[status(thm)],[])).
% 0.21/0.50 tff(221,plain,
% 0.21/0.50 (^[X: $i, T0: $i, T: $i] : rewrite((organization(X) => (external_ties(X, T) = external_ties(X, T0))) <=> ((~organization(X)) | (external_ties(X, T) = external_ties(X, T0))))),
% 0.21/0.50 inference(bind,[status(th)],[])).
% 0.21/0.50 tff(222,plain,
% 0.21/0.50 (![X: $i, T0: $i, T: $i] : (organization(X) => (external_ties(X, T) = external_ties(X, T0))) <=> ![X: $i, T0: $i, T: $i] : ((~organization(X)) | (external_ties(X, T) = external_ties(X, T0)))),
% 0.21/0.50 inference(quant_intro,[status(thm)],[221])).
% 0.21/0.50 tff(223,axiom,(![X: $i, T0: $i, T: $i] : (organization(X) => (external_ties(X, T) = external_ties(X, T0)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','assumption_11')).
% 0.21/0.50 tff(224,plain,
% 0.21/0.50 (![X: $i, T0: $i, T: $i] : ((~organization(X)) | (external_ties(X, T) = external_ties(X, T0)))),
% 0.21/0.50 inference(modus_ponens,[status(thm)],[223, 222])).
% 0.21/0.50 tff(225,plain,
% 0.21/0.50 (![X: $i, T0: $i, T: $i] : ((~organization(X)) | (external_ties(X, T) = external_ties(X, T0)))),
% 0.21/0.50 inference(modus_ponens,[status(thm)],[224, 220])).
% 0.21/0.50 tff(226,plain,(
% 0.21/0.50 ![X: $i, T0: $i, T: $i] : ((~organization(X)) | (external_ties(X, T) = external_ties(X, T0)))),
% 0.21/0.50 inference(skolemize,[status(sab)],[225])).
% 0.21/0.50 tff(227,plain,
% 0.21/0.50 (![X: $i, T0: $i, T: $i] : ((~organization(X)) | (external_ties(X, T) = external_ties(X, T0)))),
% 0.21/0.50 inference(modus_ponens,[status(thm)],[226, 219])).
% 0.21/0.50 tff(228,plain,
% 0.21/0.50 (((~![X: $i, T0: $i, T: $i] : ((~organization(X)) | (external_ties(X, T) = external_ties(X, T0)))) | ((~organization(X!2)) | (external_ties(X!2, T0!1) = external_ties(X!2, T!0)))) <=> ((~![X: $i, T0: $i, T: $i] : ((~organization(X)) | (external_ties(X, T) = external_ties(X, T0)))) | (~organization(X!2)) | (external_ties(X!2, T0!1) = external_ties(X!2, T!0)))),
% 0.21/0.50 inference(rewrite,[status(thm)],[])).
% 0.21/0.50 tff(229,plain,
% 0.21/0.50 ((~![X: $i, T0: $i, T: $i] : ((~organization(X)) | (external_ties(X, T) = external_ties(X, T0)))) | ((~organization(X!2)) | (external_ties(X!2, T0!1) = external_ties(X!2, T!0)))),
% 0.21/0.50 inference(quant_inst,[status(thm)],[])).
% 0.21/0.50 tff(230,plain,
% 0.21/0.50 ((~![X: $i, T0: $i, T: $i] : ((~organization(X)) | (external_ties(X, T) = external_ties(X, T0)))) | (~organization(X!2)) | (external_ties(X!2, T0!1) = external_ties(X!2, T!0))),
% 0.21/0.50 inference(modus_ponens,[status(thm)],[229, 228])).
% 0.21/0.50 tff(231,plain,
% 0.21/0.50 ($false),
% 0.21/0.50 inference(unit_resolution,[status(thm)],[230, 227, 13, 217])).
% 0.21/0.50 % SZS output end Proof
%------------------------------------------------------------------------------