TSTP Solution File: MGT042+1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : MGT042+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n022.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 18 05:22:10 EDT 2022
% Result : Theorem 0.19s 0.40s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : MGT042+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.34 % Computer : n022.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Sep 2 02:53:10 EDT 2022
% 0.13/0.34 % 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.
% 0.19/0.40 % SZS status Theorem
% 0.19/0.40 % SZS output start Proof
% 0.19/0.40 tff(greater_type, type, (
% 0.19/0.40 greater: ( $i * $i ) > $o)).
% 0.19/0.40 tff(position_type, type, (
% 0.19/0.40 position: ( $i * $i ) > $i)).
% 0.19/0.40 tff(tptp_fun_T0_1_type, type, (
% 0.19/0.40 tptp_fun_T0_1: $i)).
% 0.19/0.40 tff(tptp_fun_X_2_type, type, (
% 0.19/0.40 tptp_fun_X_2: $i)).
% 0.19/0.40 tff(tptp_fun_T_0_type, type, (
% 0.19/0.40 tptp_fun_T_0: $i)).
% 0.19/0.40 tff(greater_or_equal_type, type, (
% 0.19/0.40 greater_or_equal: ( $i * $i ) > $o)).
% 0.19/0.40 tff(capability_type, type, (
% 0.19/0.40 capability: ( $i * $i ) > $i)).
% 0.19/0.40 tff(smaller_type, type, (
% 0.19/0.40 smaller: ( $i * $i ) > $o)).
% 0.19/0.40 tff(hazard_of_mortality_type, type, (
% 0.19/0.40 hazard_of_mortality: ( $i * $i ) > $i)).
% 0.19/0.40 tff(has_immunity_type, type, (
% 0.19/0.40 has_immunity: ( $i * $i ) > $o)).
% 0.19/0.40 tff(organization_type, type, (
% 0.19/0.40 organization: $i > $o)).
% 0.19/0.40 tff(external_ties_type, type, (
% 0.19/0.40 external_ties: ( $i * $i ) > $i)).
% 0.19/0.40 tff(smaller_or_equal_type, type, (
% 0.19/0.40 smaller_or_equal: ( $i * $i ) > $o)).
% 0.19/0.40 tff(internal_friction_type, type, (
% 0.19/0.40 internal_friction: ( $i * $i ) > $i)).
% 0.19/0.40 tff(stock_of_knowledge_type, type, (
% 0.19/0.40 stock_of_knowledge: ( $i * $i ) > $i)).
% 0.19/0.40 tff(1,plain,
% 0.19/0.40 (^[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))))),
% 0.19/0.40 inference(bind,[status(th)],[])).
% 0.19/0.40 tff(2,plain,
% 0.19/0.40 (![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)))),
% 0.19/0.40 inference(quant_intro,[status(thm)],[1])).
% 0.19/0.40 tff(3,plain,
% 0.19/0.40 (![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)))),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(4,plain,
% 0.19/0.40 (^[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))))),
% 0.19/0.40 inference(bind,[status(th)],[])).
% 0.19/0.40 tff(5,plain,
% 0.19/0.40 (![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)))),
% 0.19/0.40 inference(quant_intro,[status(thm)],[4])).
% 0.19/0.40 tff(6,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')).
% 0.19/0.40 tff(7,plain,
% 0.19/0.40 (![X: $i, Y: $i] : (greater_or_equal(X, Y) <=> ((X = Y) | greater(X, Y)))),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[6, 5])).
% 0.19/0.40 tff(8,plain,
% 0.19/0.40 (![X: $i, Y: $i] : (greater_or_equal(X, Y) <=> ((X = Y) | greater(X, Y)))),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[7, 3])).
% 0.19/0.40 tff(9,plain,(
% 0.19/0.40 ![X: $i, Y: $i] : (greater_or_equal(X, Y) <=> ((X = Y) | greater(X, Y)))),
% 0.19/0.40 inference(skolemize,[status(sab)],[8])).
% 0.19/0.40 tff(10,plain,
% 0.19/0.40 (![X: $i, Y: $i] : (greater_or_equal(X, Y) <=> ((X = Y) | greater(X, Y)))),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[9, 2])).
% 0.19/0.40 tff(11,plain,
% 0.19/0.40 ((~![X: $i, Y: $i] : (greater_or_equal(X, Y) <=> ((X = Y) | greater(X, Y)))) | (greater_or_equal(position(X!2, T!0), position(X!2, T0!1)) <=> ((position(X!2, T!0) = position(X!2, T0!1)) | greater(position(X!2, T!0), position(X!2, T0!1))))),
% 0.19/0.40 inference(quant_inst,[status(thm)],[])).
% 0.19/0.40 tff(12,plain,
% 0.19/0.40 (greater_or_equal(position(X!2, T!0), position(X!2, T0!1)) <=> ((position(X!2, T!0) = position(X!2, T0!1)) | greater(position(X!2, T!0), position(X!2, T0!1)))),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[11, 10])).
% 0.19/0.40 tff(13,plain,
% 0.19/0.40 ((~![X: $i, T0: $i, T: $i] : ((~(organization(X) & (~has_immunity(X, T0)) & (~has_immunity(X, T)))) | (((~(greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & smaller_or_equal(internal_friction(X, T), internal_friction(X, T0)) & greater_or_equal(external_ties(X, T), external_ties(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & ((~(greater_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & smaller_or_equal(internal_friction(X, T), internal_friction(X, T0)) & greater(external_ties(X, T), external_ties(X, T0)))) | smaller(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(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & smaller_or_equal(internal_friction(X, T), internal_friction(X, T0)) & greater_or_equal(external_ties(X, T), external_ties(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & ((~(greater_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & smaller_or_equal(internal_friction(X, T), internal_friction(X, T0)) & greater(external_ties(X, T), external_ties(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))))))),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(14,plain,
% 0.19/0.40 ((~![X: $i, T0: $i, T: $i] : (((organization(X) & (~has_immunity(X, T0))) & (~has_immunity(X, T))) => ((((greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & smaller_or_equal(internal_friction(X, T), internal_friction(X, T0))) & greater_or_equal(external_ties(X, T), external_ties(X, T0))) => smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & (((greater_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & smaller_or_equal(internal_friction(X, T), internal_friction(X, T0))) & greater(external_ties(X, T), external_ties(X, T0))) => smaller(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(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & smaller_or_equal(internal_friction(X, T), internal_friction(X, T0)) & greater_or_equal(external_ties(X, T), external_ties(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & ((~(greater_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & smaller_or_equal(internal_friction(X, T), internal_friction(X, T0)) & greater(external_ties(X, T), external_ties(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))))))),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(15,axiom,(~![X: $i, T0: $i, T: $i] : (((organization(X) & (~has_immunity(X, T0))) & (~has_immunity(X, T))) => ((((greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & smaller_or_equal(internal_friction(X, T), internal_friction(X, T0))) & greater_or_equal(external_ties(X, T), external_ties(X, T0))) => smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & (((greater_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & smaller_or_equal(internal_friction(X, T), internal_friction(X, T0))) & greater(external_ties(X, T), external_ties(X, T0))) => smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','lemma_1')).
% 0.19/0.40 tff(16,plain,
% 0.19/0.40 (~![X: $i, T0: $i, T: $i] : ((~(organization(X) & (~has_immunity(X, T0)) & (~has_immunity(X, T)))) | (((~(greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & smaller_or_equal(internal_friction(X, T), internal_friction(X, T0)) & greater_or_equal(external_ties(X, T), external_ties(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & ((~(greater_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & smaller_or_equal(internal_friction(X, T), internal_friction(X, T0)) & greater(external_ties(X, T), external_ties(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)))))),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[15, 14])).
% 0.19/0.40 tff(17,plain,
% 0.19/0.40 (~![X: $i, T0: $i, T: $i] : ((~(organization(X) & (~has_immunity(X, T0)) & (~has_immunity(X, T)))) | (((~(greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & smaller_or_equal(internal_friction(X, T), internal_friction(X, T0)) & greater_or_equal(external_ties(X, T), external_ties(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & ((~(greater_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & smaller_or_equal(internal_friction(X, T), internal_friction(X, T0)) & greater(external_ties(X, T), external_ties(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)))))),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[16, 13])).
% 0.19/0.40 tff(18,plain,
% 0.19/0.40 (~![X: $i, T0: $i, T: $i] : ((~(organization(X) & (~has_immunity(X, T0)) & (~has_immunity(X, T)))) | (((~(greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & smaller_or_equal(internal_friction(X, T), internal_friction(X, T0)) & greater_or_equal(external_ties(X, T), external_ties(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & ((~(greater_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & smaller_or_equal(internal_friction(X, T), internal_friction(X, T0)) & greater(external_ties(X, T), external_ties(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)))))),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[17, 13])).
% 0.19/0.40 tff(19,plain,
% 0.19/0.40 (~![X: $i, T0: $i, T: $i] : ((~(organization(X) & (~has_immunity(X, T0)) & (~has_immunity(X, T)))) | (((~(greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & smaller_or_equal(internal_friction(X, T), internal_friction(X, T0)) & greater_or_equal(external_ties(X, T), external_ties(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & ((~(greater_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & smaller_or_equal(internal_friction(X, T), internal_friction(X, T0)) & greater(external_ties(X, T), external_ties(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)))))),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[18, 13])).
% 0.19/0.40 tff(20,plain,
% 0.19/0.40 (~![X: $i, T0: $i, T: $i] : ((~(organization(X) & (~has_immunity(X, T0)) & (~has_immunity(X, T)))) | (((~(greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & smaller_or_equal(internal_friction(X, T), internal_friction(X, T0)) & greater_or_equal(external_ties(X, T), external_ties(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & ((~(greater_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & smaller_or_equal(internal_friction(X, T), internal_friction(X, T0)) & greater(external_ties(X, T), external_ties(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)))))),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[19, 13])).
% 0.19/0.40 tff(21,plain,
% 0.19/0.40 (~![X: $i, T0: $i, T: $i] : ((~(organization(X) & (~has_immunity(X, T0)) & (~has_immunity(X, T)))) | (((~(greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & smaller_or_equal(internal_friction(X, T), internal_friction(X, T0)) & greater_or_equal(external_ties(X, T), external_ties(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & ((~(greater_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & smaller_or_equal(internal_friction(X, T), internal_friction(X, T0)) & greater(external_ties(X, T), external_ties(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)))))),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[20, 13])).
% 0.19/0.40 tff(22,plain,
% 0.19/0.40 (~![X: $i, T0: $i, T: $i] : ((~(organization(X) & (~has_immunity(X, T0)) & (~has_immunity(X, T)))) | (((~(greater(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & smaller_or_equal(internal_friction(X, T), internal_friction(X, T0)) & greater_or_equal(external_ties(X, T), external_ties(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) & ((~(greater_or_equal(stock_of_knowledge(X, T), stock_of_knowledge(X, T0)) & smaller_or_equal(internal_friction(X, T), internal_friction(X, T0)) & greater(external_ties(X, T), external_ties(X, T0)))) | smaller(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)))))),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[21, 13])).
% 0.19/0.40 tff(23,plain,(
% 0.19/0.40 ~((~(organization(X!2) & (~has_immunity(X!2, T0!1)) & (~has_immunity(X!2, T!0)))) | (((~(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)) & greater_or_equal(external_ties(X!2, T!0), external_ties(X!2, T0!1)))) | smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1))) & ((~(greater_or_equal(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)) & greater(external_ties(X!2, T!0), external_ties(X!2, T0!1)))) | smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1)))))),
% 0.19/0.41 inference(skolemize,[status(sab)],[22])).
% 0.19/0.41 tff(24,plain,
% 0.19/0.41 (organization(X!2) & (~has_immunity(X!2, T0!1)) & (~has_immunity(X!2, T!0))),
% 0.19/0.41 inference(or_elim,[status(thm)],[23])).
% 0.19/0.41 tff(25,plain,
% 0.19/0.41 (~has_immunity(X!2, T!0)),
% 0.19/0.41 inference(and_elim,[status(thm)],[24])).
% 0.19/0.41 tff(26,plain,
% 0.19/0.41 (~has_immunity(X!2, T0!1)),
% 0.19/0.41 inference(and_elim,[status(thm)],[24])).
% 0.19/0.41 tff(27,plain,
% 0.19/0.41 (organization(X!2)),
% 0.19/0.41 inference(and_elim,[status(thm)],[24])).
% 0.19/0.41 tff(28,plain,
% 0.19/0.41 (^[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)))))))))),
% 0.19/0.41 inference(bind,[status(th)],[])).
% 0.19/0.41 tff(29,plain,
% 0.19/0.41 (![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))))))))),
% 0.19/0.41 inference(quant_intro,[status(thm)],[28])).
% 0.19/0.41 tff(30,plain,
% 0.19/0.41 (^[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))))))))))),
% 0.19/0.41 inference(bind,[status(th)],[])).
% 0.19/0.41 tff(31,plain,
% 0.19/0.41 (![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))))))))),
% 0.19/0.41 inference(quant_intro,[status(thm)],[30])).
% 0.19/0.41 tff(32,plain,
% 0.19/0.41 (![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)))))),
% 0.19/0.41 inference(rewrite,[status(thm)],[])).
% 0.19/0.41 tff(33,plain,
% 0.19/0.41 (^[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)))))))),
% 0.19/0.41 inference(bind,[status(th)],[])).
% 0.19/0.41 tff(34,plain,
% 0.19/0.41 (![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)))))),
% 0.19/0.41 inference(quant_intro,[status(thm)],[33])).
% 0.19/0.41 tff(35,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')).
% 0.19/0.41 tff(36,plain,
% 0.19/0.41 (![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)))))),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[35, 34])).
% 0.19/0.41 tff(37,plain,
% 0.19/0.41 (![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)))))),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[36, 32])).
% 0.19/0.41 tff(38,plain,(
% 0.19/0.41 ![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)))))),
% 0.19/0.41 inference(skolemize,[status(sab)],[37])).
% 0.19/0.41 tff(39,plain,
% 0.19/0.41 (![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))))))))),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[38, 31])).
% 0.19/0.41 tff(40,plain,
% 0.19/0.41 (![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))))))))),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[39, 29])).
% 0.19/0.41 tff(41,plain,
% 0.19/0.41 (((~![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, T!0), hazard_of_mortality(X!2, T0!1)) | (~greater(capability(X!2, T!0), capability(X!2, T0!1))) | (~greater_or_equal(position(X!2, T!0), position(X!2, T0!1))))) | (~(smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1)) | (~greater_or_equal(capability(X!2, T!0), capability(X!2, T0!1))) | (~greater(position(X!2, T!0), position(X!2, T0!1))))) | (~((hazard_of_mortality(X!2, T!0) = hazard_of_mortality(X!2, T0!1)) | (~(capability(X!2, T!0) = capability(X!2, T0!1))) | (~(position(X!2, T!0) = position(X!2, T0!1))))))))) <=> ((~![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, T!0), hazard_of_mortality(X!2, T0!1)) | (~greater(capability(X!2, T!0), capability(X!2, T0!1))) | (~greater_or_equal(position(X!2, T!0), position(X!2, T0!1))))) | (~(smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1)) | (~greater_or_equal(capability(X!2, T!0), capability(X!2, T0!1))) | (~greater(position(X!2, T!0), position(X!2, T0!1))))) | (~((hazard_of_mortality(X!2, T!0) = hazard_of_mortality(X!2, T0!1)) | (~(capability(X!2, T!0) = capability(X!2, T0!1))) | (~(position(X!2, T!0) = position(X!2, T0!1))))))))),
% 0.19/0.42 inference(rewrite,[status(thm)],[])).
% 0.19/0.42 tff(42,plain,
% 0.19/0.42 ((has_immunity(X!2, T!0) | has_immunity(X!2, T0!1) | (~organization(X!2)) | (~((~(smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1)) | (~greater(capability(X!2, T!0), capability(X!2, T0!1))) | (~greater_or_equal(position(X!2, T!0), position(X!2, T0!1))))) | (~(smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1)) | (~greater_or_equal(capability(X!2, T!0), capability(X!2, T0!1))) | (~greater(position(X!2, T!0), position(X!2, T0!1))))) | (~((hazard_of_mortality(X!2, T!0) = hazard_of_mortality(X!2, T0!1)) | (~(capability(X!2, T!0) = capability(X!2, T0!1))) | (~(position(X!2, T!0) = position(X!2, T0!1)))))))) <=> (has_immunity(X!2, T0!1) | has_immunity(X!2, T!0) | (~organization(X!2)) | (~((~(smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1)) | (~greater(capability(X!2, T!0), capability(X!2, T0!1))) | (~greater_or_equal(position(X!2, T!0), position(X!2, T0!1))))) | (~(smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1)) | (~greater_or_equal(capability(X!2, T!0), capability(X!2, T0!1))) | (~greater(position(X!2, T!0), position(X!2, T0!1))))) | (~((hazard_of_mortality(X!2, T!0) = hazard_of_mortality(X!2, T0!1)) | (~(capability(X!2, T!0) = capability(X!2, T0!1))) | (~(position(X!2, T!0) = position(X!2, T0!1))))))))),
% 0.19/0.42 inference(rewrite,[status(thm)],[])).
% 0.19/0.42 tff(43,plain,
% 0.19/0.42 ((~((~(smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1)) | (~greater(capability(X!2, T!0), capability(X!2, T0!1))) | (~greater_or_equal(position(X!2, T!0), position(X!2, T0!1))))) | (~(smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1)) | (~greater_or_equal(capability(X!2, T!0), capability(X!2, T0!1))) | (~greater(position(X!2, T!0), position(X!2, T0!1))))) | (~((hazard_of_mortality(X!2, T!0) = hazard_of_mortality(X!2, T0!1)) | (~(capability(X!2, T!0) = capability(X!2, T0!1))) | (~(position(X!2, T!0) = position(X!2, T0!1))))))) <=> (~((~(smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1)) | (~greater(capability(X!2, T!0), capability(X!2, T0!1))) | (~greater_or_equal(position(X!2, T!0), position(X!2, T0!1))))) | (~(smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1)) | (~greater_or_equal(capability(X!2, T!0), capability(X!2, T0!1))) | (~greater(position(X!2, T!0), position(X!2, T0!1))))) | (~((hazard_of_mortality(X!2, T!0) = hazard_of_mortality(X!2, T0!1)) | (~(capability(X!2, T!0) = capability(X!2, T0!1))) | (~(position(X!2, T!0) = position(X!2, T0!1)))))))),
% 0.19/0.42 inference(rewrite,[status(thm)],[])).
% 0.19/0.42 tff(44,plain,
% 0.19/0.42 ((has_immunity(X!2, T!0) | has_immunity(X!2, T0!1) | (~organization(X!2)) | (~((~(smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1)) | (~greater(capability(X!2, T!0), capability(X!2, T0!1))) | (~greater_or_equal(position(X!2, T!0), position(X!2, T0!1))))) | (~(smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1)) | (~greater_or_equal(capability(X!2, T!0), capability(X!2, T0!1))) | (~greater(position(X!2, T!0), position(X!2, T0!1))))) | (~((hazard_of_mortality(X!2, T!0) = hazard_of_mortality(X!2, T0!1)) | (~(capability(X!2, T!0) = capability(X!2, T0!1))) | (~(position(X!2, T!0) = position(X!2, T0!1)))))))) <=> (has_immunity(X!2, T!0) | has_immunity(X!2, T0!1) | (~organization(X!2)) | (~((~(smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1)) | (~greater(capability(X!2, T!0), capability(X!2, T0!1))) | (~greater_or_equal(position(X!2, T!0), position(X!2, T0!1))))) | (~(smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1)) | (~greater_or_equal(capability(X!2, T!0), capability(X!2, T0!1))) | (~greater(position(X!2, T!0), position(X!2, T0!1))))) | (~((hazard_of_mortality(X!2, T!0) = hazard_of_mortality(X!2, T0!1)) | (~(capability(X!2, T!0) = capability(X!2, T0!1))) | (~(position(X!2, T!0) = position(X!2, T0!1))))))))),
% 0.19/0.42 inference(monotonicity,[status(thm)],[43])).
% 0.19/0.42 tff(45,plain,
% 0.19/0.42 ((has_immunity(X!2, T!0) | has_immunity(X!2, T0!1) | (~organization(X!2)) | (~((~(smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1)) | (~greater(capability(X!2, T!0), capability(X!2, T0!1))) | (~greater_or_equal(position(X!2, T!0), position(X!2, T0!1))))) | (~(smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1)) | (~greater_or_equal(capability(X!2, T!0), capability(X!2, T0!1))) | (~greater(position(X!2, T!0), position(X!2, T0!1))))) | (~((hazard_of_mortality(X!2, T!0) = hazard_of_mortality(X!2, T0!1)) | (~(capability(X!2, T!0) = capability(X!2, T0!1))) | (~(position(X!2, T!0) = position(X!2, T0!1)))))))) <=> (has_immunity(X!2, T0!1) | has_immunity(X!2, T!0) | (~organization(X!2)) | (~((~(smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1)) | (~greater(capability(X!2, T!0), capability(X!2, T0!1))) | (~greater_or_equal(position(X!2, T!0), position(X!2, T0!1))))) | (~(smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1)) | (~greater_or_equal(capability(X!2, T!0), capability(X!2, T0!1))) | (~greater(position(X!2, T!0), position(X!2, T0!1))))) | (~((hazard_of_mortality(X!2, T!0) = hazard_of_mortality(X!2, T0!1)) | (~(capability(X!2, T!0) = capability(X!2, T0!1))) | (~(position(X!2, T!0) = position(X!2, T0!1))))))))),
% 0.19/0.42 inference(transitivity,[status(thm)],[44, 42])).
% 0.19/0.42 tff(46,plain,
% 0.19/0.42 (((~![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, T!0) | has_immunity(X!2, T0!1) | (~organization(X!2)) | (~((~(smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1)) | (~greater(capability(X!2, T!0), capability(X!2, T0!1))) | (~greater_or_equal(position(X!2, T!0), position(X!2, T0!1))))) | (~(smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1)) | (~greater_or_equal(capability(X!2, T!0), capability(X!2, T0!1))) | (~greater(position(X!2, T!0), position(X!2, T0!1))))) | (~((hazard_of_mortality(X!2, T!0) = hazard_of_mortality(X!2, T0!1)) | (~(capability(X!2, T!0) = capability(X!2, T0!1))) | (~(position(X!2, T!0) = position(X!2, T0!1))))))))) <=> ((~![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, T!0), hazard_of_mortality(X!2, T0!1)) | (~greater(capability(X!2, T!0), capability(X!2, T0!1))) | (~greater_or_equal(position(X!2, T!0), position(X!2, T0!1))))) | (~(smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1)) | (~greater_or_equal(capability(X!2, T!0), capability(X!2, T0!1))) | (~greater(position(X!2, T!0), position(X!2, T0!1))))) | (~((hazard_of_mortality(X!2, T!0) = hazard_of_mortality(X!2, T0!1)) | (~(capability(X!2, T!0) = capability(X!2, T0!1))) | (~(position(X!2, T!0) = position(X!2, T0!1)))))))))),
% 0.19/0.42 inference(monotonicity,[status(thm)],[45])).
% 0.19/0.42 tff(47,plain,
% 0.19/0.42 (((~![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, T!0) | has_immunity(X!2, T0!1) | (~organization(X!2)) | (~((~(smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1)) | (~greater(capability(X!2, T!0), capability(X!2, T0!1))) | (~greater_or_equal(position(X!2, T!0), position(X!2, T0!1))))) | (~(smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1)) | (~greater_or_equal(capability(X!2, T!0), capability(X!2, T0!1))) | (~greater(position(X!2, T!0), position(X!2, T0!1))))) | (~((hazard_of_mortality(X!2, T!0) = hazard_of_mortality(X!2, T0!1)) | (~(capability(X!2, T!0) = capability(X!2, T0!1))) | (~(position(X!2, T!0) = position(X!2, T0!1))))))))) <=> ((~![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, T!0), hazard_of_mortality(X!2, T0!1)) | (~greater(capability(X!2, T!0), capability(X!2, T0!1))) | (~greater_or_equal(position(X!2, T!0), position(X!2, T0!1))))) | (~(smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1)) | (~greater_or_equal(capability(X!2, T!0), capability(X!2, T0!1))) | (~greater(position(X!2, T!0), position(X!2, T0!1))))) | (~((hazard_of_mortality(X!2, T!0) = hazard_of_mortality(X!2, T0!1)) | (~(capability(X!2, T!0) = capability(X!2, T0!1))) | (~(position(X!2, T!0) = position(X!2, T0!1))))))))),
% 0.19/0.42 inference(transitivity,[status(thm)],[46, 41])).
% 0.19/0.42 tff(48,plain,
% 0.19/0.42 ((~![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, T!0) | has_immunity(X!2, T0!1) | (~organization(X!2)) | (~((~(smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1)) | (~greater(capability(X!2, T!0), capability(X!2, T0!1))) | (~greater_or_equal(position(X!2, T!0), position(X!2, T0!1))))) | (~(smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1)) | (~greater_or_equal(capability(X!2, T!0), capability(X!2, T0!1))) | (~greater(position(X!2, T!0), position(X!2, T0!1))))) | (~((hazard_of_mortality(X!2, T!0) = hazard_of_mortality(X!2, T0!1)) | (~(capability(X!2, T!0) = capability(X!2, T0!1))) | (~(position(X!2, T!0) = position(X!2, T0!1))))))))),
% 0.19/0.43 inference(quant_inst,[status(thm)],[])).
% 0.19/0.43 tff(49,plain,
% 0.19/0.43 ((~![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))))))))) | has_immunity(X!2, T0!1) | has_immunity(X!2, T!0) | (~organization(X!2)) | (~((~(smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1)) | (~greater(capability(X!2, T!0), capability(X!2, T0!1))) | (~greater_or_equal(position(X!2, T!0), position(X!2, T0!1))))) | (~(smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1)) | (~greater_or_equal(capability(X!2, T!0), capability(X!2, T0!1))) | (~greater(position(X!2, T!0), position(X!2, T0!1))))) | (~((hazard_of_mortality(X!2, T!0) = hazard_of_mortality(X!2, T0!1)) | (~(capability(X!2, T!0) = capability(X!2, T0!1))) | (~(position(X!2, T!0) = position(X!2, T0!1)))))))),
% 0.19/0.43 inference(modus_ponens,[status(thm)],[48, 47])).
% 0.19/0.43 tff(50,plain,
% 0.19/0.43 (~((~(smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1)) | (~greater(capability(X!2, T!0), capability(X!2, T0!1))) | (~greater_or_equal(position(X!2, T!0), position(X!2, T0!1))))) | (~(smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1)) | (~greater_or_equal(capability(X!2, T!0), capability(X!2, T0!1))) | (~greater(position(X!2, T!0), position(X!2, T0!1))))) | (~((hazard_of_mortality(X!2, T!0) = hazard_of_mortality(X!2, T0!1)) | (~(capability(X!2, T!0) = capability(X!2, T0!1))) | (~(position(X!2, T!0) = position(X!2, T0!1))))))),
% 0.19/0.43 inference(unit_resolution,[status(thm)],[49, 40, 27, 26, 25])).
% 0.19/0.43 tff(51,plain,
% 0.19/0.43 (((~(smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1)) | (~greater(capability(X!2, T!0), capability(X!2, T0!1))) | (~greater_or_equal(position(X!2, T!0), position(X!2, T0!1))))) | (~(smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1)) | (~greater_or_equal(capability(X!2, T!0), capability(X!2, T0!1))) | (~greater(position(X!2, T!0), position(X!2, T0!1))))) | (~((hazard_of_mortality(X!2, T!0) = hazard_of_mortality(X!2, T0!1)) | (~(capability(X!2, T!0) = capability(X!2, T0!1))) | (~(position(X!2, T!0) = position(X!2, T0!1)))))) | (smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1)) | (~greater(capability(X!2, T!0), capability(X!2, T0!1))) | (~greater_or_equal(position(X!2, T!0), position(X!2, T0!1))))),
% 0.19/0.43 inference(tautology,[status(thm)],[])).
% 0.19/0.43 tff(52,plain,
% 0.19/0.43 (smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1)) | (~greater(capability(X!2, T!0), capability(X!2, T0!1))) | (~greater_or_equal(position(X!2, T!0), position(X!2, T0!1)))),
% 0.19/0.43 inference(unit_resolution,[status(thm)],[51, 50])).
% 0.19/0.43 tff(53,plain,
% 0.19/0.43 (^[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)))))))))),
% 0.19/0.43 inference(bind,[status(th)],[])).
% 0.19/0.43 tff(54,plain,
% 0.19/0.43 (![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))))))))),
% 0.19/0.43 inference(quant_intro,[status(thm)],[53])).
% 0.19/0.43 tff(55,plain,
% 0.19/0.43 (^[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)))))))))),
% 0.19/0.43 inference(bind,[status(th)],[])).
% 0.19/0.43 tff(56,plain,
% 0.19/0.43 (![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))))))))),
% 0.19/0.43 inference(quant_intro,[status(thm)],[55])).
% 0.19/0.43 tff(57,plain,
% 0.19/0.43 (![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)))))),
% 0.19/0.43 inference(rewrite,[status(thm)],[])).
% 0.19/0.43 tff(58,plain,
% 0.19/0.43 (^[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)))))))),
% 0.19/0.43 inference(bind,[status(th)],[])).
% 0.19/0.43 tff(59,plain,
% 0.19/0.43 (![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)))))),
% 0.19/0.43 inference(quant_intro,[status(thm)],[58])).
% 0.19/0.43 tff(60,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')).
% 0.19/0.43 tff(61,plain,
% 0.19/0.43 (![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)))))),
% 0.19/0.43 inference(modus_ponens,[status(thm)],[60, 59])).
% 0.19/0.43 tff(62,plain,
% 0.19/0.43 (![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)))))),
% 0.19/0.43 inference(modus_ponens,[status(thm)],[61, 57])).
% 0.19/0.43 tff(63,plain,(
% 0.19/0.43 ![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)))))),
% 0.19/0.43 inference(skolemize,[status(sab)],[62])).
% 0.19/0.43 tff(64,plain,
% 0.19/0.43 (![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))))))))),
% 0.19/0.43 inference(modus_ponens,[status(thm)],[63, 56])).
% 0.19/0.43 tff(65,plain,
% 0.19/0.43 (![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))))))))),
% 0.19/0.43 inference(modus_ponens,[status(thm)],[64, 54])).
% 0.19/0.43 tff(66,plain,
% 0.19/0.43 (((~![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)) | (~((~(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))))) | (~((~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))) | greater(capability(X!2, T!0), capability(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)) | (~((~(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))))) | (~((~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))) | greater(capability(X!2, T!0), capability(X!2, T0!1)))))))),
% 0.19/0.44 inference(rewrite,[status(thm)],[])).
% 0.19/0.44 tff(67,plain,
% 0.19/0.44 (((~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)))))))) <=> ((~organization(X!2)) | (~((~(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))))) | (~((~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))) | greater(capability(X!2, T!0), capability(X!2, T0!1)))))))),
% 0.19/0.44 inference(rewrite,[status(thm)],[])).
% 0.19/0.44 tff(68,plain,
% 0.19/0.44 (((~![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)) | (~((~(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))))) | (~((~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))) | greater(capability(X!2, T!0), capability(X!2, T0!1))))))))),
% 0.19/0.44 inference(monotonicity,[status(thm)],[67])).
% 0.19/0.44 tff(69,plain,
% 0.19/0.44 (((~![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)) | (~((~(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))))) | (~((~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))) | greater(capability(X!2, T!0), capability(X!2, T0!1)))))))),
% 0.19/0.44 inference(transitivity,[status(thm)],[68, 66])).
% 0.19/0.44 tff(70,plain,
% 0.19/0.44 ((~![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))))))))),
% 0.19/0.44 inference(quant_inst,[status(thm)],[])).
% 0.19/0.44 tff(71,plain,
% 0.19/0.44 ((~![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)) | (~((~(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))))) | (~((~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))) | greater(capability(X!2, T!0), capability(X!2, T0!1))))))),
% 0.19/0.44 inference(modus_ponens,[status(thm)],[70, 69])).
% 0.19/0.44 tff(72,plain,
% 0.19/0.44 (~((~(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))))) | (~((~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))) | greater(capability(X!2, T!0), capability(X!2, T0!1)))))),
% 0.19/0.44 inference(unit_resolution,[status(thm)],[71, 65, 27])).
% 0.19/0.44 tff(73,plain,
% 0.19/0.44 (((~(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))))) | (~((~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))) | 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))) | greater(capability(X!2, T!0), capability(X!2, T0!1)))),
% 0.19/0.44 inference(tautology,[status(thm)],[])).
% 0.19/0.44 tff(74,plain,
% 0.19/0.44 ((~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))) | greater(capability(X!2, T!0), capability(X!2, T0!1))),
% 0.19/0.44 inference(unit_resolution,[status(thm)],[73, 72])).
% 0.19/0.44 tff(75,plain,
% 0.19/0.44 ((~![X: $i, Y: $i] : (greater_or_equal(X, Y) <=> ((X = Y) | greater(X, Y)))) | (greater_or_equal(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1)) <=> ((stock_of_knowledge(X!2, T!0) = stock_of_knowledge(X!2, T0!1)) | greater(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1))))),
% 0.19/0.44 inference(quant_inst,[status(thm)],[])).
% 0.19/0.44 tff(76,plain,
% 0.19/0.44 (greater_or_equal(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1)) <=> ((stock_of_knowledge(X!2, T!0) = stock_of_knowledge(X!2, T0!1)) | greater(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1)))),
% 0.19/0.45 inference(unit_resolution,[status(thm)],[75, 10])).
% 0.19/0.45 tff(77,assumption,(~(smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1)) | (~smaller_or_equal(internal_friction(X!2, T!0), internal_friction(X!2, T0!1))) | (~greater_or_equal(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1))) | (~greater(external_ties(X!2, T!0), external_ties(X!2, T0!1))))), introduced(assumption)).
% 0.19/0.45 tff(78,plain,
% 0.19/0.45 ((smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1)) | (~smaller_or_equal(internal_friction(X!2, T!0), internal_friction(X!2, T0!1))) | (~greater_or_equal(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1))) | (~greater(external_ties(X!2, T!0), external_ties(X!2, T0!1)))) | greater_or_equal(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1))),
% 0.19/0.45 inference(tautology,[status(thm)],[])).
% 0.19/0.45 tff(79,plain,
% 0.19/0.45 (greater_or_equal(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1))),
% 0.19/0.45 inference(unit_resolution,[status(thm)],[78, 77])).
% 0.19/0.45 tff(80,plain,
% 0.19/0.45 ((~(greater_or_equal(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1)) <=> ((stock_of_knowledge(X!2, T!0) = stock_of_knowledge(X!2, T0!1)) | greater(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1))))) | (~greater_or_equal(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1))) | ((stock_of_knowledge(X!2, T!0) = stock_of_knowledge(X!2, T0!1)) | greater(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1)))),
% 0.19/0.45 inference(tautology,[status(thm)],[])).
% 0.19/0.45 tff(81,plain,
% 0.19/0.45 ((~(greater_or_equal(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1)) <=> ((stock_of_knowledge(X!2, T!0) = stock_of_knowledge(X!2, T0!1)) | greater(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1))))) | ((stock_of_knowledge(X!2, T!0) = stock_of_knowledge(X!2, T0!1)) | greater(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1)))),
% 0.19/0.45 inference(unit_resolution,[status(thm)],[80, 79])).
% 0.19/0.45 tff(82,plain,
% 0.19/0.45 ((stock_of_knowledge(X!2, T!0) = stock_of_knowledge(X!2, T0!1)) | greater(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1))),
% 0.19/0.45 inference(unit_resolution,[status(thm)],[81, 76])).
% 0.19/0.45 tff(83,plain,
% 0.19/0.45 (^[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))))))))),
% 0.19/0.45 inference(bind,[status(th)],[])).
% 0.19/0.45 tff(84,plain,
% 0.19/0.45 (![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)))))))),
% 0.19/0.45 inference(quant_intro,[status(thm)],[83])).
% 0.19/0.45 tff(85,plain,
% 0.19/0.45 (^[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))))))))),
% 0.19/0.45 inference(bind,[status(th)],[])).
% 0.19/0.45 tff(86,plain,
% 0.19/0.45 (![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)))))))),
% 0.19/0.45 inference(quant_intro,[status(thm)],[85])).
% 0.19/0.45 tff(87,plain,
% 0.19/0.45 (![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)))))),
% 0.19/0.45 inference(rewrite,[status(thm)],[])).
% 0.19/0.45 tff(88,plain,
% 0.19/0.45 (^[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)))))))),
% 0.19/0.45 inference(bind,[status(th)],[])).
% 0.19/0.45 tff(89,plain,
% 0.19/0.45 (![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)))))),
% 0.19/0.45 inference(quant_intro,[status(thm)],[88])).
% 0.19/0.45 tff(90,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')).
% 0.19/0.45 tff(91,plain,
% 0.19/0.45 (![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)))))),
% 0.19/0.45 inference(modus_ponens,[status(thm)],[90, 89])).
% 0.19/0.45 tff(92,plain,
% 0.19/0.45 (![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)))))),
% 0.19/0.45 inference(modus_ponens,[status(thm)],[91, 87])).
% 0.19/0.45 tff(93,plain,(
% 0.19/0.45 ![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)))))),
% 0.19/0.45 inference(skolemize,[status(sab)],[92])).
% 0.19/0.45 tff(94,plain,
% 0.19/0.45 (![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)))))))),
% 0.19/0.45 inference(modus_ponens,[status(thm)],[93, 86])).
% 0.19/0.45 tff(95,plain,
% 0.19/0.45 (![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)))))))),
% 0.19/0.45 inference(modus_ponens,[status(thm)],[94, 84])).
% 0.19/0.45 tff(96,plain,
% 0.19/0.45 (((~![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, T!0), external_ties(X!2, T0!1))) | greater(position(X!2, T!0), position(X!2, T0!1)))) | (~((~(external_ties(X!2, T!0) = external_ties(X!2, T0!1))) | (position(X!2, T!0) = position(X!2, T0!1)))))))) <=> ((~![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, T!0), external_ties(X!2, T0!1))) | greater(position(X!2, T!0), position(X!2, T0!1)))) | (~((~(external_ties(X!2, T!0) = external_ties(X!2, T0!1))) | (position(X!2, T!0) = position(X!2, T0!1)))))))),
% 0.19/0.45 inference(rewrite,[status(thm)],[])).
% 0.19/0.45 tff(97,plain,
% 0.19/0.45 ((~![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, T!0), external_ties(X!2, T0!1))) | greater(position(X!2, T!0), position(X!2, T0!1)))) | (~((~(external_ties(X!2, T!0) = external_ties(X!2, T0!1))) | (position(X!2, T!0) = position(X!2, T0!1)))))))),
% 0.19/0.45 inference(quant_inst,[status(thm)],[])).
% 0.19/0.45 tff(98,plain,
% 0.19/0.45 ((~![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, T!0), external_ties(X!2, T0!1))) | greater(position(X!2, T!0), position(X!2, T0!1)))) | (~((~(external_ties(X!2, T!0) = external_ties(X!2, T0!1))) | (position(X!2, T!0) = position(X!2, T0!1))))))),
% 0.19/0.45 inference(modus_ponens,[status(thm)],[97, 96])).
% 0.19/0.45 tff(99,plain,
% 0.19/0.45 (~((~((~greater(external_ties(X!2, T!0), external_ties(X!2, T0!1))) | greater(position(X!2, T!0), position(X!2, T0!1)))) | (~((~(external_ties(X!2, T!0) = external_ties(X!2, T0!1))) | (position(X!2, T!0) = position(X!2, T0!1)))))),
% 0.19/0.45 inference(unit_resolution,[status(thm)],[98, 95, 27])).
% 0.19/0.45 tff(100,plain,
% 0.19/0.45 (((~((~greater(external_ties(X!2, T!0), external_ties(X!2, T0!1))) | greater(position(X!2, T!0), position(X!2, T0!1)))) | (~((~(external_ties(X!2, T!0) = external_ties(X!2, T0!1))) | (position(X!2, T!0) = position(X!2, T0!1))))) | ((~greater(external_ties(X!2, T!0), external_ties(X!2, T0!1))) | greater(position(X!2, T!0), position(X!2, T0!1)))),
% 0.19/0.45 inference(tautology,[status(thm)],[])).
% 0.19/0.45 tff(101,plain,
% 0.19/0.45 ((~greater(external_ties(X!2, T!0), external_ties(X!2, T0!1))) | greater(position(X!2, T!0), position(X!2, T0!1))),
% 0.19/0.45 inference(unit_resolution,[status(thm)],[100, 99])).
% 0.19/0.45 tff(102,plain,
% 0.19/0.45 ((smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1)) | (~smaller_or_equal(internal_friction(X!2, T!0), internal_friction(X!2, T0!1))) | (~greater_or_equal(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1))) | (~greater(external_ties(X!2, T!0), external_ties(X!2, T0!1)))) | greater(external_ties(X!2, T!0), external_ties(X!2, T0!1))),
% 0.19/0.45 inference(tautology,[status(thm)],[])).
% 0.19/0.45 tff(103,plain,
% 0.19/0.45 (greater(external_ties(X!2, T!0), external_ties(X!2, T0!1))),
% 0.19/0.45 inference(unit_resolution,[status(thm)],[102, 77])).
% 0.19/0.45 tff(104,plain,
% 0.19/0.45 ((~((~greater(external_ties(X!2, T!0), external_ties(X!2, T0!1))) | greater(position(X!2, T!0), position(X!2, T0!1)))) | (~greater(external_ties(X!2, T!0), external_ties(X!2, T0!1))) | greater(position(X!2, T!0), position(X!2, T0!1))),
% 0.19/0.45 inference(tautology,[status(thm)],[])).
% 0.19/0.45 tff(105,plain,
% 0.19/0.45 ((~((~greater(external_ties(X!2, T!0), external_ties(X!2, T0!1))) | greater(position(X!2, T!0), position(X!2, T0!1)))) | greater(position(X!2, T!0), position(X!2, T0!1))),
% 0.19/0.45 inference(unit_resolution,[status(thm)],[104, 103])).
% 0.19/0.45 tff(106,plain,
% 0.19/0.45 (greater(position(X!2, T!0), position(X!2, T0!1))),
% 0.19/0.45 inference(unit_resolution,[status(thm)],[105, 101])).
% 0.19/0.45 tff(107,plain,
% 0.19/0.45 (((position(X!2, T!0) = position(X!2, T0!1)) | greater(position(X!2, T!0), position(X!2, T0!1))) | (~greater(position(X!2, T!0), position(X!2, T0!1)))),
% 0.19/0.45 inference(tautology,[status(thm)],[])).
% 0.19/0.45 tff(108,plain,
% 0.19/0.45 ((position(X!2, T!0) = position(X!2, T0!1)) | greater(position(X!2, T!0), position(X!2, T0!1))),
% 0.19/0.45 inference(unit_resolution,[status(thm)],[107, 106])).
% 0.19/0.45 tff(109,plain,
% 0.19/0.45 ((~(greater_or_equal(position(X!2, T!0), position(X!2, T0!1)) <=> ((position(X!2, T!0) = position(X!2, T0!1)) | greater(position(X!2, T!0), position(X!2, T0!1))))) | greater_or_equal(position(X!2, T!0), position(X!2, T0!1)) | (~((position(X!2, T!0) = position(X!2, T0!1)) | greater(position(X!2, T!0), position(X!2, T0!1))))),
% 0.19/0.45 inference(tautology,[status(thm)],[])).
% 0.19/0.45 tff(110,plain,
% 0.19/0.45 ((~(greater_or_equal(position(X!2, T!0), position(X!2, T0!1)) <=> ((position(X!2, T!0) = position(X!2, T0!1)) | greater(position(X!2, T!0), position(X!2, T0!1))))) | greater_or_equal(position(X!2, T!0), position(X!2, T0!1))),
% 0.19/0.45 inference(unit_resolution,[status(thm)],[109, 108])).
% 0.19/0.45 tff(111,plain,
% 0.19/0.45 (greater_or_equal(position(X!2, T!0), position(X!2, T0!1))),
% 0.19/0.45 inference(unit_resolution,[status(thm)],[110, 12])).
% 0.19/0.45 tff(112,plain,
% 0.19/0.45 ((smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1)) | (~smaller_or_equal(internal_friction(X!2, T!0), internal_friction(X!2, T0!1))) | (~greater_or_equal(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1))) | (~greater(external_ties(X!2, T!0), external_ties(X!2, T0!1)))) | (~smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1)))),
% 0.19/0.45 inference(tautology,[status(thm)],[])).
% 0.19/0.45 tff(113,plain,
% 0.19/0.45 (~smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1))),
% 0.19/0.45 inference(unit_resolution,[status(thm)],[112, 77])).
% 0.19/0.45 tff(114,plain,
% 0.19/0.45 ((~(smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1)) | (~greater(capability(X!2, T!0), capability(X!2, T0!1))) | (~greater_or_equal(position(X!2, T!0), position(X!2, T0!1))))) | smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1)) | (~greater(capability(X!2, T!0), capability(X!2, T0!1))) | (~greater_or_equal(position(X!2, T!0), position(X!2, T0!1)))),
% 0.19/0.45 inference(tautology,[status(thm)],[])).
% 0.19/0.45 tff(115,plain,
% 0.19/0.45 ((~(smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1)) | (~greater(capability(X!2, T!0), capability(X!2, T0!1))) | (~greater_or_equal(position(X!2, T!0), position(X!2, T0!1))))) | (~greater(capability(X!2, T!0), capability(X!2, T0!1))) | (~greater_or_equal(position(X!2, T!0), position(X!2, T0!1)))),
% 0.19/0.45 inference(unit_resolution,[status(thm)],[114, 113])).
% 0.19/0.45 tff(116,plain,
% 0.19/0.45 (~greater(capability(X!2, T!0), capability(X!2, T0!1))),
% 0.19/0.45 inference(unit_resolution,[status(thm)],[115, 111, 52])).
% 0.19/0.45 tff(117,plain,
% 0.19/0.45 ((smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1)) | (~smaller_or_equal(internal_friction(X!2, T!0), internal_friction(X!2, T0!1))) | (~greater_or_equal(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1))) | (~greater(external_ties(X!2, T!0), external_ties(X!2, T0!1)))) | smaller_or_equal(internal_friction(X!2, T!0), internal_friction(X!2, T0!1))),
% 0.19/0.45 inference(tautology,[status(thm)],[])).
% 0.19/0.45 tff(118,plain,
% 0.19/0.45 (smaller_or_equal(internal_friction(X!2, T!0), internal_friction(X!2, T0!1))),
% 0.19/0.45 inference(unit_resolution,[status(thm)],[117, 77])).
% 0.19/0.45 tff(119,plain,
% 0.19/0.45 ((~((~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))) | 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))) | greater(capability(X!2, T!0), capability(X!2, T0!1))),
% 0.19/0.45 inference(tautology,[status(thm)],[])).
% 0.19/0.45 tff(120,plain,
% 0.19/0.45 ((~((~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))) | 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))) | greater(capability(X!2, T!0), capability(X!2, T0!1))),
% 0.19/0.45 inference(unit_resolution,[status(thm)],[119, 118])).
% 0.19/0.45 tff(121,plain,
% 0.19/0.45 (~greater(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1))),
% 0.19/0.45 inference(unit_resolution,[status(thm)],[120, 116, 74])).
% 0.19/0.45 tff(122,plain,
% 0.19/0.45 ((~((stock_of_knowledge(X!2, T!0) = stock_of_knowledge(X!2, T0!1)) | greater(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1)))) | (stock_of_knowledge(X!2, T!0) = stock_of_knowledge(X!2, T0!1)) | greater(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1))),
% 0.19/0.45 inference(tautology,[status(thm)],[])).
% 0.19/0.45 tff(123,plain,
% 0.19/0.45 (stock_of_knowledge(X!2, T!0) = stock_of_knowledge(X!2, T0!1)),
% 0.19/0.45 inference(unit_resolution,[status(thm)],[122, 121, 82])).
% 0.19/0.45 tff(124,plain,
% 0.19/0.45 (smaller_or_equal(stock_of_knowledge(X!2, T0!1), stock_of_knowledge(X!2, T!0)) <=> smaller_or_equal(stock_of_knowledge(X!2, T0!1), stock_of_knowledge(X!2, T0!1))),
% 0.19/0.45 inference(monotonicity,[status(thm)],[123])).
% 0.19/0.45 tff(125,plain,
% 0.19/0.45 (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, T0!1), stock_of_knowledge(X!2, T!0))),
% 0.19/0.45 inference(symmetry,[status(thm)],[124])).
% 0.19/0.45 tff(126,assumption,(~smaller_or_equal(stock_of_knowledge(X!2, T0!1), stock_of_knowledge(X!2, T0!1))), introduced(assumption)).
% 0.19/0.45 tff(127,plain,
% 0.19/0.45 (^[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))))),
% 0.19/0.45 inference(bind,[status(th)],[])).
% 0.19/0.45 tff(128,plain,
% 0.19/0.45 (![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)))),
% 0.19/0.45 inference(quant_intro,[status(thm)],[127])).
% 0.19/0.45 tff(129,plain,
% 0.19/0.45 (![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)))),
% 0.19/0.45 inference(rewrite,[status(thm)],[])).
% 0.19/0.45 tff(130,plain,
% 0.19/0.45 (^[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))))),
% 0.19/0.45 inference(bind,[status(th)],[])).
% 0.19/0.45 tff(131,plain,
% 0.19/0.45 (![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)))),
% 0.19/0.45 inference(quant_intro,[status(thm)],[130])).
% 0.19/0.45 tff(132,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')).
% 0.19/0.45 tff(133,plain,
% 0.19/0.45 (![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))),
% 0.19/0.45 inference(modus_ponens,[status(thm)],[132, 131])).
% 0.19/0.46 tff(134,plain,
% 0.19/0.46 (![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))),
% 0.19/0.46 inference(modus_ponens,[status(thm)],[133, 129])).
% 0.19/0.46 tff(135,plain,(
% 0.19/0.46 ![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))),
% 0.19/0.46 inference(skolemize,[status(sab)],[134])).
% 0.19/0.46 tff(136,plain,
% 0.19/0.46 (![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))),
% 0.19/0.46 inference(modus_ponens,[status(thm)],[135, 128])).
% 0.19/0.46 tff(137,plain,
% 0.19/0.46 (((~![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)))),
% 0.19/0.46 inference(rewrite,[status(thm)],[])).
% 0.19/0.46 tff(138,plain,
% 0.19/0.46 ((smaller_or_equal(stock_of_knowledge(X!2, T0!1), stock_of_knowledge(X!2, T0!1)) <=> $true) <=> smaller_or_equal(stock_of_knowledge(X!2, T0!1), stock_of_knowledge(X!2, T0!1))),
% 0.19/0.46 inference(rewrite,[status(thm)],[])).
% 0.19/0.46 tff(139,plain,
% 0.19/0.46 (($true | smaller(stock_of_knowledge(X!2, T0!1), stock_of_knowledge(X!2, T0!1))) <=> $true),
% 0.19/0.46 inference(rewrite,[status(thm)],[])).
% 0.19/0.46 tff(140,plain,
% 0.19/0.46 ((stock_of_knowledge(X!2, T0!1) = stock_of_knowledge(X!2, T0!1)) <=> $true),
% 0.19/0.46 inference(rewrite,[status(thm)],[])).
% 0.19/0.46 tff(141,plain,
% 0.19/0.46 (((stock_of_knowledge(X!2, T0!1) = stock_of_knowledge(X!2, T0!1)) | smaller(stock_of_knowledge(X!2, T0!1), stock_of_knowledge(X!2, T0!1))) <=> ($true | smaller(stock_of_knowledge(X!2, T0!1), stock_of_knowledge(X!2, T0!1)))),
% 0.19/0.46 inference(monotonicity,[status(thm)],[140])).
% 0.19/0.46 tff(142,plain,
% 0.19/0.46 (((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),
% 0.19/0.46 inference(transitivity,[status(thm)],[141, 139])).
% 0.19/0.46 tff(143,plain,
% 0.19/0.46 ((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)),
% 0.19/0.46 inference(monotonicity,[status(thm)],[142])).
% 0.19/0.46 tff(144,plain,
% 0.19/0.46 ((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))),
% 0.19/0.46 inference(transitivity,[status(thm)],[143, 138])).
% 0.19/0.46 tff(145,plain,
% 0.19/0.46 (((~![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)))),
% 0.19/0.46 inference(monotonicity,[status(thm)],[144])).
% 0.19/0.46 tff(146,plain,
% 0.19/0.46 (((~![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)))),
% 0.19/0.46 inference(transitivity,[status(thm)],[145, 137])).
% 0.19/0.46 tff(147,plain,
% 0.19/0.46 ((~![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))))),
% 0.19/0.46 inference(quant_inst,[status(thm)],[])).
% 0.19/0.46 tff(148,plain,
% 0.19/0.46 ((~![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))) | smaller_or_equal(stock_of_knowledge(X!2, T0!1), stock_of_knowledge(X!2, T0!1))),
% 0.19/0.46 inference(modus_ponens,[status(thm)],[147, 146])).
% 0.19/0.46 tff(149,plain,
% 0.19/0.46 ($false),
% 0.19/0.46 inference(unit_resolution,[status(thm)],[148, 136, 126])).
% 0.19/0.46 tff(150,plain,(smaller_or_equal(stock_of_knowledge(X!2, T0!1), stock_of_knowledge(X!2, T0!1))), inference(lemma,lemma(discharge,[]))).
% 0.19/0.46 tff(151,plain,
% 0.19/0.46 (smaller_or_equal(stock_of_knowledge(X!2, T0!1), stock_of_knowledge(X!2, T!0))),
% 0.19/0.46 inference(modus_ponens,[status(thm)],[150, 125])).
% 0.19/0.46 tff(152,plain,
% 0.19/0.46 (((~![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(internal_friction(X!2, T0!1), internal_friction(X!2, T!0))) | smaller(capability(X!2, T0!1), capability(X!2, T!0)) | (~smaller_or_equal(stock_of_knowledge(X!2, T0!1), stock_of_knowledge(X!2, T!0))))) | (~(greater(capability(X!2, T0!1), capability(X!2, T!0)) | (~greater(stock_of_knowledge(X!2, T0!1), stock_of_knowledge(X!2, T!0))) | (~smaller_or_equal(internal_friction(X!2, T0!1), internal_friction(X!2, T!0))))) | (~((capability(X!2, T0!1) = capability(X!2, T!0)) | (~(stock_of_knowledge(X!2, T0!1) = stock_of_knowledge(X!2, T!0))) | (~(internal_friction(X!2, T0!1) = internal_friction(X!2, T!0))))))))) <=> ((~![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(internal_friction(X!2, T0!1), internal_friction(X!2, T!0))) | smaller(capability(X!2, T0!1), capability(X!2, T!0)) | (~smaller_or_equal(stock_of_knowledge(X!2, T0!1), stock_of_knowledge(X!2, T!0))))) | (~(greater(capability(X!2, T0!1), capability(X!2, T!0)) | (~greater(stock_of_knowledge(X!2, T0!1), stock_of_knowledge(X!2, T!0))) | (~smaller_or_equal(internal_friction(X!2, T0!1), internal_friction(X!2, T!0))))) | (~((capability(X!2, T0!1) = capability(X!2, T!0)) | (~(stock_of_knowledge(X!2, T0!1) = stock_of_knowledge(X!2, T!0))) | (~(internal_friction(X!2, T0!1) = internal_friction(X!2, T!0))))))))),
% 0.19/0.46 inference(rewrite,[status(thm)],[])).
% 0.19/0.46 tff(153,plain,
% 0.19/0.46 (((~organization(X!2)) | (~((~(greater(capability(X!2, T0!1), capability(X!2, T!0)) | (~greater(stock_of_knowledge(X!2, T0!1), stock_of_knowledge(X!2, T!0))) | (~smaller_or_equal(internal_friction(X!2, T0!1), internal_friction(X!2, T!0))))) | (~(smaller(capability(X!2, T0!1), capability(X!2, T!0)) | (~smaller_or_equal(stock_of_knowledge(X!2, T0!1), stock_of_knowledge(X!2, T!0))) | (~greater(internal_friction(X!2, T0!1), internal_friction(X!2, T!0))))) | (~((capability(X!2, T0!1) = capability(X!2, T!0)) | (~(stock_of_knowledge(X!2, T0!1) = stock_of_knowledge(X!2, T!0))) | (~(internal_friction(X!2, T0!1) = internal_friction(X!2, T!0)))))))) <=> ((~organization(X!2)) | (~((~((~greater(internal_friction(X!2, T0!1), internal_friction(X!2, T!0))) | smaller(capability(X!2, T0!1), capability(X!2, T!0)) | (~smaller_or_equal(stock_of_knowledge(X!2, T0!1), stock_of_knowledge(X!2, T!0))))) | (~(greater(capability(X!2, T0!1), capability(X!2, T!0)) | (~greater(stock_of_knowledge(X!2, T0!1), stock_of_knowledge(X!2, T!0))) | (~smaller_or_equal(internal_friction(X!2, T0!1), internal_friction(X!2, T!0))))) | (~((capability(X!2, T0!1) = capability(X!2, T!0)) | (~(stock_of_knowledge(X!2, T0!1) = stock_of_knowledge(X!2, T!0))) | (~(internal_friction(X!2, T0!1) = internal_friction(X!2, T!0))))))))),
% 0.19/0.46 inference(rewrite,[status(thm)],[])).
% 0.19/0.46 tff(154,plain,
% 0.19/0.46 (((~![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, T0!1), capability(X!2, T!0)) | (~greater(stock_of_knowledge(X!2, T0!1), stock_of_knowledge(X!2, T!0))) | (~smaller_or_equal(internal_friction(X!2, T0!1), internal_friction(X!2, T!0))))) | (~(smaller(capability(X!2, T0!1), capability(X!2, T!0)) | (~smaller_or_equal(stock_of_knowledge(X!2, T0!1), stock_of_knowledge(X!2, T!0))) | (~greater(internal_friction(X!2, T0!1), internal_friction(X!2, T!0))))) | (~((capability(X!2, T0!1) = capability(X!2, T!0)) | (~(stock_of_knowledge(X!2, T0!1) = stock_of_knowledge(X!2, T!0))) | (~(internal_friction(X!2, T0!1) = internal_friction(X!2, T!0))))))))) <=> ((~![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(internal_friction(X!2, T0!1), internal_friction(X!2, T!0))) | smaller(capability(X!2, T0!1), capability(X!2, T!0)) | (~smaller_or_equal(stock_of_knowledge(X!2, T0!1), stock_of_knowledge(X!2, T!0))))) | (~(greater(capability(X!2, T0!1), capability(X!2, T!0)) | (~greater(stock_of_knowledge(X!2, T0!1), stock_of_knowledge(X!2, T!0))) | (~smaller_or_equal(internal_friction(X!2, T0!1), internal_friction(X!2, T!0))))) | (~((capability(X!2, T0!1) = capability(X!2, T!0)) | (~(stock_of_knowledge(X!2, T0!1) = stock_of_knowledge(X!2, T!0))) | (~(internal_friction(X!2, T0!1) = internal_friction(X!2, T!0)))))))))),
% 0.19/0.46 inference(monotonicity,[status(thm)],[153])).
% 0.19/0.46 tff(155,plain,
% 0.19/0.46 (((~![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, T0!1), capability(X!2, T!0)) | (~greater(stock_of_knowledge(X!2, T0!1), stock_of_knowledge(X!2, T!0))) | (~smaller_or_equal(internal_friction(X!2, T0!1), internal_friction(X!2, T!0))))) | (~(smaller(capability(X!2, T0!1), capability(X!2, T!0)) | (~smaller_or_equal(stock_of_knowledge(X!2, T0!1), stock_of_knowledge(X!2, T!0))) | (~greater(internal_friction(X!2, T0!1), internal_friction(X!2, T!0))))) | (~((capability(X!2, T0!1) = capability(X!2, T!0)) | (~(stock_of_knowledge(X!2, T0!1) = stock_of_knowledge(X!2, T!0))) | (~(internal_friction(X!2, T0!1) = internal_friction(X!2, T!0))))))))) <=> ((~![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(internal_friction(X!2, T0!1), internal_friction(X!2, T!0))) | smaller(capability(X!2, T0!1), capability(X!2, T!0)) | (~smaller_or_equal(stock_of_knowledge(X!2, T0!1), stock_of_knowledge(X!2, T!0))))) | (~(greater(capability(X!2, T0!1), capability(X!2, T!0)) | (~greater(stock_of_knowledge(X!2, T0!1), stock_of_knowledge(X!2, T!0))) | (~smaller_or_equal(internal_friction(X!2, T0!1), internal_friction(X!2, T!0))))) | (~((capability(X!2, T0!1) = capability(X!2, T!0)) | (~(stock_of_knowledge(X!2, T0!1) = stock_of_knowledge(X!2, T!0))) | (~(internal_friction(X!2, T0!1) = internal_friction(X!2, T!0))))))))),
% 0.19/0.46 inference(transitivity,[status(thm)],[154, 152])).
% 0.19/0.46 tff(156,plain,
% 0.19/0.46 ((~![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, T0!1), capability(X!2, T!0)) | (~greater(stock_of_knowledge(X!2, T0!1), stock_of_knowledge(X!2, T!0))) | (~smaller_or_equal(internal_friction(X!2, T0!1), internal_friction(X!2, T!0))))) | (~(smaller(capability(X!2, T0!1), capability(X!2, T!0)) | (~smaller_or_equal(stock_of_knowledge(X!2, T0!1), stock_of_knowledge(X!2, T!0))) | (~greater(internal_friction(X!2, T0!1), internal_friction(X!2, T!0))))) | (~((capability(X!2, T0!1) = capability(X!2, T!0)) | (~(stock_of_knowledge(X!2, T0!1) = stock_of_knowledge(X!2, T!0))) | (~(internal_friction(X!2, T0!1) = internal_friction(X!2, T!0))))))))),
% 0.19/0.46 inference(quant_inst,[status(thm)],[])).
% 0.19/0.46 tff(157,plain,
% 0.19/0.46 ((~![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(internal_friction(X!2, T0!1), internal_friction(X!2, T!0))) | smaller(capability(X!2, T0!1), capability(X!2, T!0)) | (~smaller_or_equal(stock_of_knowledge(X!2, T0!1), stock_of_knowledge(X!2, T!0))))) | (~(greater(capability(X!2, T0!1), capability(X!2, T!0)) | (~greater(stock_of_knowledge(X!2, T0!1), stock_of_knowledge(X!2, T!0))) | (~smaller_or_equal(internal_friction(X!2, T0!1), internal_friction(X!2, T!0))))) | (~((capability(X!2, T0!1) = capability(X!2, T!0)) | (~(stock_of_knowledge(X!2, T0!1) = stock_of_knowledge(X!2, T!0))) | (~(internal_friction(X!2, T0!1) = internal_friction(X!2, T!0)))))))),
% 0.19/0.46 inference(modus_ponens,[status(thm)],[156, 155])).
% 0.19/0.46 tff(158,plain,
% 0.19/0.46 (~((~((~greater(internal_friction(X!2, T0!1), internal_friction(X!2, T!0))) | smaller(capability(X!2, T0!1), capability(X!2, T!0)) | (~smaller_or_equal(stock_of_knowledge(X!2, T0!1), stock_of_knowledge(X!2, T!0))))) | (~(greater(capability(X!2, T0!1), capability(X!2, T!0)) | (~greater(stock_of_knowledge(X!2, T0!1), stock_of_knowledge(X!2, T!0))) | (~smaller_or_equal(internal_friction(X!2, T0!1), internal_friction(X!2, T!0))))) | (~((capability(X!2, T0!1) = capability(X!2, T!0)) | (~(stock_of_knowledge(X!2, T0!1) = stock_of_knowledge(X!2, T!0))) | (~(internal_friction(X!2, T0!1) = internal_friction(X!2, T!0))))))),
% 0.19/0.46 inference(unit_resolution,[status(thm)],[157, 65, 27])).
% 0.19/0.46 tff(159,plain,
% 0.19/0.46 (((~((~greater(internal_friction(X!2, T0!1), internal_friction(X!2, T!0))) | smaller(capability(X!2, T0!1), capability(X!2, T!0)) | (~smaller_or_equal(stock_of_knowledge(X!2, T0!1), stock_of_knowledge(X!2, T!0))))) | (~(greater(capability(X!2, T0!1), capability(X!2, T!0)) | (~greater(stock_of_knowledge(X!2, T0!1), stock_of_knowledge(X!2, T!0))) | (~smaller_or_equal(internal_friction(X!2, T0!1), internal_friction(X!2, T!0))))) | (~((capability(X!2, T0!1) = capability(X!2, T!0)) | (~(stock_of_knowledge(X!2, T0!1) = stock_of_knowledge(X!2, T!0))) | (~(internal_friction(X!2, T0!1) = internal_friction(X!2, T!0)))))) | ((~greater(internal_friction(X!2, T0!1), internal_friction(X!2, T!0))) | smaller(capability(X!2, T0!1), capability(X!2, T!0)) | (~smaller_or_equal(stock_of_knowledge(X!2, T0!1), stock_of_knowledge(X!2, T!0))))),
% 0.19/0.46 inference(tautology,[status(thm)],[])).
% 0.19/0.46 tff(160,plain,
% 0.19/0.46 ((~greater(internal_friction(X!2, T0!1), internal_friction(X!2, T!0))) | smaller(capability(X!2, T0!1), capability(X!2, T!0)) | (~smaller_or_equal(stock_of_knowledge(X!2, T0!1), stock_of_knowledge(X!2, T!0)))),
% 0.19/0.46 inference(unit_resolution,[status(thm)],[159, 158])).
% 0.19/0.46 tff(161,plain,
% 0.19/0.46 (^[X: $i, Y: $i] : refl((smaller(X, Y) <=> greater(Y, X)) <=> (smaller(X, Y) <=> greater(Y, X)))),
% 0.19/0.46 inference(bind,[status(th)],[])).
% 0.19/0.46 tff(162,plain,
% 0.19/0.46 (![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X)) <=> ![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))),
% 0.19/0.46 inference(quant_intro,[status(thm)],[161])).
% 0.19/0.46 tff(163,plain,
% 0.19/0.46 (![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X)) <=> ![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))),
% 0.19/0.46 inference(rewrite,[status(thm)],[])).
% 0.19/0.46 tff(164,axiom,(![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))), file('/export/starexec/sandbox/benchmark/Axioms/MGT001+0.ax','definition_smaller')).
% 0.19/0.46 tff(165,plain,
% 0.19/0.46 (![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))),
% 0.19/0.46 inference(modus_ponens,[status(thm)],[164, 163])).
% 0.19/0.46 tff(166,plain,(
% 0.19/0.46 ![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))),
% 0.19/0.46 inference(skolemize,[status(sab)],[165])).
% 0.19/0.46 tff(167,plain,
% 0.19/0.46 (![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))),
% 0.19/0.46 inference(modus_ponens,[status(thm)],[166, 162])).
% 0.19/0.46 tff(168,plain,
% 0.19/0.46 ((~![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))) | (smaller(internal_friction(X!2, T!0), internal_friction(X!2, T0!1)) <=> greater(internal_friction(X!2, T0!1), internal_friction(X!2, T!0)))),
% 0.19/0.46 inference(quant_inst,[status(thm)],[])).
% 0.19/0.46 tff(169,plain,
% 0.19/0.46 (smaller(internal_friction(X!2, T!0), internal_friction(X!2, T0!1)) <=> greater(internal_friction(X!2, T0!1), internal_friction(X!2, T!0))),
% 0.19/0.46 inference(unit_resolution,[status(thm)],[168, 167])).
% 0.19/0.46 tff(170,plain,
% 0.19/0.46 ((~![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))) | (smaller_or_equal(internal_friction(X!2, T!0), internal_friction(X!2, T0!1)) <=> ((internal_friction(X!2, T!0) = internal_friction(X!2, T0!1)) | smaller(internal_friction(X!2, T!0), internal_friction(X!2, T0!1))))),
% 0.19/0.46 inference(quant_inst,[status(thm)],[])).
% 0.19/0.46 tff(171,plain,
% 0.19/0.46 (smaller_or_equal(internal_friction(X!2, T!0), internal_friction(X!2, T0!1)) <=> ((internal_friction(X!2, T!0) = internal_friction(X!2, T0!1)) | smaller(internal_friction(X!2, T!0), internal_friction(X!2, T0!1)))),
% 0.19/0.46 inference(unit_resolution,[status(thm)],[170, 136])).
% 0.19/0.46 tff(172,plain,
% 0.19/0.46 ((~(smaller_or_equal(internal_friction(X!2, T!0), internal_friction(X!2, T0!1)) <=> ((internal_friction(X!2, T!0) = internal_friction(X!2, T0!1)) | smaller(internal_friction(X!2, T!0), internal_friction(X!2, T0!1))))) | (~smaller_or_equal(internal_friction(X!2, T!0), internal_friction(X!2, T0!1))) | ((internal_friction(X!2, T!0) = internal_friction(X!2, T0!1)) | smaller(internal_friction(X!2, T!0), internal_friction(X!2, T0!1)))),
% 0.19/0.46 inference(tautology,[status(thm)],[])).
% 0.19/0.46 tff(173,plain,
% 0.19/0.46 ((~(smaller_or_equal(internal_friction(X!2, T!0), internal_friction(X!2, T0!1)) <=> ((internal_friction(X!2, T!0) = internal_friction(X!2, T0!1)) | smaller(internal_friction(X!2, T!0), internal_friction(X!2, T0!1))))) | ((internal_friction(X!2, T!0) = internal_friction(X!2, T0!1)) | smaller(internal_friction(X!2, T!0), internal_friction(X!2, T0!1)))),
% 0.19/0.46 inference(unit_resolution,[status(thm)],[172, 118])).
% 0.19/0.46 tff(174,plain,
% 0.19/0.46 ((internal_friction(X!2, T!0) = internal_friction(X!2, T0!1)) | smaller(internal_friction(X!2, T!0), internal_friction(X!2, T0!1))),
% 0.19/0.46 inference(unit_resolution,[status(thm)],[173, 171])).
% 0.19/0.46 tff(175,plain,
% 0.19/0.46 (((~(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))))) | (~((~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))) | greater(capability(X!2, T!0), capability(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))))),
% 0.19/0.46 inference(tautology,[status(thm)],[])).
% 0.19/0.46 tff(176,plain,
% 0.19/0.46 ((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)))),
% 0.19/0.46 inference(unit_resolution,[status(thm)],[175, 72])).
% 0.19/0.46 tff(177,plain,
% 0.19/0.46 ((~![X: $i, Y: $i] : (greater_or_equal(X, Y) <=> ((X = Y) | greater(X, Y)))) | (greater_or_equal(capability(X!2, T!0), capability(X!2, T0!1)) <=> ((capability(X!2, T!0) = capability(X!2, T0!1)) | greater(capability(X!2, T!0), capability(X!2, T0!1))))),
% 0.19/0.46 inference(quant_inst,[status(thm)],[])).
% 0.19/0.46 tff(178,plain,
% 0.19/0.46 (greater_or_equal(capability(X!2, T!0), capability(X!2, T0!1)) <=> ((capability(X!2, T!0) = capability(X!2, T0!1)) | greater(capability(X!2, T!0), capability(X!2, T0!1)))),
% 0.19/0.46 inference(unit_resolution,[status(thm)],[177, 10])).
% 0.19/0.46 tff(179,plain,
% 0.19/0.46 (((~(smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1)) | (~greater(capability(X!2, T!0), capability(X!2, T0!1))) | (~greater_or_equal(position(X!2, T!0), position(X!2, T0!1))))) | (~(smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1)) | (~greater_or_equal(capability(X!2, T!0), capability(X!2, T0!1))) | (~greater(position(X!2, T!0), position(X!2, T0!1))))) | (~((hazard_of_mortality(X!2, T!0) = hazard_of_mortality(X!2, T0!1)) | (~(capability(X!2, T!0) = capability(X!2, T0!1))) | (~(position(X!2, T!0) = position(X!2, T0!1)))))) | (smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1)) | (~greater_or_equal(capability(X!2, T!0), capability(X!2, T0!1))) | (~greater(position(X!2, T!0), position(X!2, T0!1))))),
% 0.19/0.46 inference(tautology,[status(thm)],[])).
% 0.19/0.46 tff(180,plain,
% 0.19/0.46 (smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1)) | (~greater_or_equal(capability(X!2, T!0), capability(X!2, T0!1))) | (~greater(position(X!2, T!0), position(X!2, T0!1)))),
% 0.19/0.46 inference(unit_resolution,[status(thm)],[179, 50])).
% 0.19/0.46 tff(181,plain,
% 0.19/0.46 ((~(smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1)) | (~greater_or_equal(capability(X!2, T!0), capability(X!2, T0!1))) | (~greater(position(X!2, T!0), position(X!2, T0!1))))) | smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1)) | (~greater_or_equal(capability(X!2, T!0), capability(X!2, T0!1))) | (~greater(position(X!2, T!0), position(X!2, T0!1)))),
% 0.19/0.47 inference(tautology,[status(thm)],[])).
% 0.19/0.47 tff(182,plain,
% 0.19/0.47 ((~(smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1)) | (~greater_or_equal(capability(X!2, T!0), capability(X!2, T0!1))) | (~greater(position(X!2, T!0), position(X!2, T0!1))))) | (~greater_or_equal(capability(X!2, T!0), capability(X!2, T0!1))) | (~greater(position(X!2, T!0), position(X!2, T0!1)))),
% 0.19/0.47 inference(unit_resolution,[status(thm)],[181, 113])).
% 0.19/0.47 tff(183,plain,
% 0.19/0.47 (~greater_or_equal(capability(X!2, T!0), capability(X!2, T0!1))),
% 0.19/0.47 inference(unit_resolution,[status(thm)],[182, 106, 180])).
% 0.19/0.47 tff(184,plain,
% 0.19/0.47 ((~(greater_or_equal(capability(X!2, T!0), capability(X!2, T0!1)) <=> ((capability(X!2, T!0) = capability(X!2, T0!1)) | greater(capability(X!2, T!0), capability(X!2, T0!1))))) | greater_or_equal(capability(X!2, T!0), capability(X!2, T0!1)) | (~((capability(X!2, T!0) = capability(X!2, T0!1)) | greater(capability(X!2, T!0), capability(X!2, T0!1))))),
% 0.19/0.47 inference(tautology,[status(thm)],[])).
% 0.19/0.47 tff(185,plain,
% 0.19/0.47 ((~(greater_or_equal(capability(X!2, T!0), capability(X!2, T0!1)) <=> ((capability(X!2, T!0) = capability(X!2, T0!1)) | greater(capability(X!2, T!0), capability(X!2, T0!1))))) | (~((capability(X!2, T!0) = capability(X!2, T0!1)) | greater(capability(X!2, T!0), capability(X!2, T0!1))))),
% 0.19/0.47 inference(unit_resolution,[status(thm)],[184, 183])).
% 0.19/0.47 tff(186,plain,
% 0.19/0.47 (~((capability(X!2, T!0) = capability(X!2, T0!1)) | greater(capability(X!2, T!0), capability(X!2, T0!1)))),
% 0.19/0.47 inference(unit_resolution,[status(thm)],[185, 178])).
% 0.19/0.47 tff(187,plain,
% 0.19/0.47 (((capability(X!2, T!0) = capability(X!2, T0!1)) | greater(capability(X!2, T!0), capability(X!2, T0!1))) | (~(capability(X!2, T!0) = capability(X!2, T0!1)))),
% 0.19/0.47 inference(tautology,[status(thm)],[])).
% 0.19/0.47 tff(188,plain,
% 0.19/0.47 (~(capability(X!2, T!0) = capability(X!2, T0!1))),
% 0.19/0.47 inference(unit_resolution,[status(thm)],[187, 186])).
% 0.19/0.47 tff(189,plain,
% 0.19/0.47 ((~((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))))) | (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)))),
% 0.19/0.47 inference(tautology,[status(thm)],[])).
% 0.19/0.47 tff(190,plain,
% 0.19/0.47 (~(internal_friction(X!2, T!0) = internal_friction(X!2, T0!1))),
% 0.19/0.47 inference(unit_resolution,[status(thm)],[189, 123, 188, 176])).
% 0.19/0.47 tff(191,plain,
% 0.19/0.47 ((~((internal_friction(X!2, T!0) = internal_friction(X!2, T0!1)) | smaller(internal_friction(X!2, T!0), internal_friction(X!2, T0!1)))) | (internal_friction(X!2, T!0) = internal_friction(X!2, T0!1)) | smaller(internal_friction(X!2, T!0), internal_friction(X!2, T0!1))),
% 0.19/0.47 inference(tautology,[status(thm)],[])).
% 0.19/0.47 tff(192,plain,
% 0.19/0.47 (smaller(internal_friction(X!2, T!0), internal_friction(X!2, T0!1))),
% 0.19/0.47 inference(unit_resolution,[status(thm)],[191, 190, 174])).
% 0.19/0.47 tff(193,plain,
% 0.19/0.47 ((~(smaller(internal_friction(X!2, T!0), internal_friction(X!2, T0!1)) <=> greater(internal_friction(X!2, T0!1), internal_friction(X!2, T!0)))) | (~smaller(internal_friction(X!2, T!0), internal_friction(X!2, T0!1))) | greater(internal_friction(X!2, T0!1), internal_friction(X!2, T!0))),
% 0.19/0.47 inference(tautology,[status(thm)],[])).
% 0.19/0.47 tff(194,plain,
% 0.19/0.47 ((~(smaller(internal_friction(X!2, T!0), internal_friction(X!2, T0!1)) <=> greater(internal_friction(X!2, T0!1), internal_friction(X!2, T!0)))) | greater(internal_friction(X!2, T0!1), internal_friction(X!2, T!0))),
% 0.19/0.47 inference(unit_resolution,[status(thm)],[193, 192])).
% 0.19/0.47 tff(195,plain,
% 0.19/0.47 (greater(internal_friction(X!2, T0!1), internal_friction(X!2, T!0))),
% 0.19/0.47 inference(unit_resolution,[status(thm)],[194, 169])).
% 0.19/0.47 tff(196,plain,
% 0.19/0.47 ((~![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))) | (smaller(capability(X!2, T0!1), capability(X!2, T!0)) <=> greater(capability(X!2, T!0), capability(X!2, T0!1)))),
% 0.19/0.47 inference(quant_inst,[status(thm)],[])).
% 0.19/0.47 tff(197,plain,
% 0.19/0.47 (smaller(capability(X!2, T0!1), capability(X!2, T!0)) <=> greater(capability(X!2, T!0), capability(X!2, T0!1))),
% 0.19/0.47 inference(unit_resolution,[status(thm)],[196, 167])).
% 0.19/0.47 tff(198,plain,
% 0.19/0.47 ((~(smaller(capability(X!2, T0!1), capability(X!2, T!0)) <=> greater(capability(X!2, T!0), capability(X!2, T0!1)))) | (~smaller(capability(X!2, T0!1), capability(X!2, T!0))) | greater(capability(X!2, T!0), capability(X!2, T0!1))),
% 0.19/0.47 inference(tautology,[status(thm)],[])).
% 0.19/0.47 tff(199,plain,
% 0.19/0.47 ((~(smaller(capability(X!2, T0!1), capability(X!2, T!0)) <=> greater(capability(X!2, T!0), capability(X!2, T0!1)))) | (~smaller(capability(X!2, T0!1), capability(X!2, T!0)))),
% 0.19/0.47 inference(unit_resolution,[status(thm)],[198, 116])).
% 0.19/0.47 tff(200,plain,
% 0.19/0.47 (~smaller(capability(X!2, T0!1), capability(X!2, T!0))),
% 0.19/0.47 inference(unit_resolution,[status(thm)],[199, 197])).
% 0.19/0.47 tff(201,plain,
% 0.19/0.47 ((~((~greater(internal_friction(X!2, T0!1), internal_friction(X!2, T!0))) | smaller(capability(X!2, T0!1), capability(X!2, T!0)) | (~smaller_or_equal(stock_of_knowledge(X!2, T0!1), stock_of_knowledge(X!2, T!0))))) | (~greater(internal_friction(X!2, T0!1), internal_friction(X!2, T!0))) | smaller(capability(X!2, T0!1), capability(X!2, T!0)) | (~smaller_or_equal(stock_of_knowledge(X!2, T0!1), stock_of_knowledge(X!2, T!0)))),
% 0.19/0.47 inference(tautology,[status(thm)],[])).
% 0.19/0.47 tff(202,plain,
% 0.19/0.47 (~smaller_or_equal(stock_of_knowledge(X!2, T0!1), stock_of_knowledge(X!2, T!0))),
% 0.19/0.47 inference(unit_resolution,[status(thm)],[201, 200, 195, 160])).
% 0.19/0.47 tff(203,plain,
% 0.19/0.47 ($false),
% 0.19/0.47 inference(unit_resolution,[status(thm)],[202, 151])).
% 0.19/0.47 tff(204,plain,(smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1)) | (~smaller_or_equal(internal_friction(X!2, T!0), internal_friction(X!2, T0!1))) | (~greater_or_equal(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1))) | (~greater(external_ties(X!2, T!0), external_ties(X!2, T0!1)))), inference(lemma,lemma(discharge,[]))).
% 0.19/0.47 tff(205,plain,
% 0.19/0.47 ((~(~((~(smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(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))) | (~greater_or_equal(external_ties(X!2, T!0), external_ties(X!2, T0!1))))) | (~(smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1)) | (~smaller_or_equal(internal_friction(X!2, T!0), internal_friction(X!2, T0!1))) | (~greater_or_equal(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1))) | (~greater(external_ties(X!2, T!0), external_ties(X!2, T0!1)))))))) <=> ((~(smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(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))) | (~greater_or_equal(external_ties(X!2, T!0), external_ties(X!2, T0!1))))) | (~(smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1)) | (~smaller_or_equal(internal_friction(X!2, T!0), internal_friction(X!2, T0!1))) | (~greater_or_equal(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1))) | (~greater(external_ties(X!2, T!0), external_ties(X!2, T0!1))))))),
% 0.19/0.47 inference(rewrite,[status(thm)],[])).
% 0.19/0.47 tff(206,plain,
% 0.19/0.47 (((smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(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))) | (~greater_or_equal(external_ties(X!2, T!0), external_ties(X!2, T0!1)))) & (smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1)) | (~smaller_or_equal(internal_friction(X!2, T!0), internal_friction(X!2, T0!1))) | (~greater_or_equal(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1))) | (~greater(external_ties(X!2, T!0), external_ties(X!2, T0!1))))) <=> (~((~(smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(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))) | (~greater_or_equal(external_ties(X!2, T!0), external_ties(X!2, T0!1))))) | (~(smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1)) | (~smaller_or_equal(internal_friction(X!2, T!0), internal_friction(X!2, T0!1))) | (~greater_or_equal(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1))) | (~greater(external_ties(X!2, T!0), external_ties(X!2, T0!1)))))))),
% 0.19/0.47 inference(rewrite,[status(thm)],[])).
% 0.19/0.47 tff(207,plain,
% 0.19/0.47 ((((~smaller_or_equal(internal_friction(X!2, T!0), internal_friction(X!2, T0!1))) | (~greater_or_equal(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1))) | (~greater(external_ties(X!2, T!0), external_ties(X!2, T0!1)))) | smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1))) <=> (smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1)) | (~smaller_or_equal(internal_friction(X!2, T!0), internal_friction(X!2, T0!1))) | (~greater_or_equal(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1))) | (~greater(external_ties(X!2, T!0), external_ties(X!2, T0!1))))),
% 0.19/0.47 inference(rewrite,[status(thm)],[])).
% 0.19/0.47 tff(208,plain,
% 0.19/0.47 ((~(~((~smaller_or_equal(internal_friction(X!2, T!0), internal_friction(X!2, T0!1))) | (~greater_or_equal(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1))) | (~greater(external_ties(X!2, T!0), external_ties(X!2, T0!1)))))) <=> ((~smaller_or_equal(internal_friction(X!2, T!0), internal_friction(X!2, T0!1))) | (~greater_or_equal(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1))) | (~greater(external_ties(X!2, T!0), external_ties(X!2, T0!1))))),
% 0.19/0.47 inference(rewrite,[status(thm)],[])).
% 0.19/0.47 tff(209,plain,
% 0.19/0.47 ((greater_or_equal(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)) & greater(external_ties(X!2, T!0), external_ties(X!2, T0!1))) <=> (~((~smaller_or_equal(internal_friction(X!2, T!0), internal_friction(X!2, T0!1))) | (~greater_or_equal(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1))) | (~greater(external_ties(X!2, T!0), external_ties(X!2, T0!1)))))),
% 0.19/0.47 inference(rewrite,[status(thm)],[])).
% 0.19/0.47 tff(210,plain,
% 0.19/0.47 ((~(greater_or_equal(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)) & greater(external_ties(X!2, T!0), external_ties(X!2, T0!1)))) <=> (~(~((~smaller_or_equal(internal_friction(X!2, T!0), internal_friction(X!2, T0!1))) | (~greater_or_equal(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1))) | (~greater(external_ties(X!2, T!0), external_ties(X!2, T0!1))))))),
% 0.19/0.47 inference(monotonicity,[status(thm)],[209])).
% 0.19/0.47 tff(211,plain,
% 0.19/0.47 ((~(greater_or_equal(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)) & greater(external_ties(X!2, T!0), external_ties(X!2, T0!1)))) <=> ((~smaller_or_equal(internal_friction(X!2, T!0), internal_friction(X!2, T0!1))) | (~greater_or_equal(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1))) | (~greater(external_ties(X!2, T!0), external_ties(X!2, T0!1))))),
% 0.19/0.47 inference(transitivity,[status(thm)],[210, 208])).
% 0.19/0.47 tff(212,plain,
% 0.19/0.47 (((~(greater_or_equal(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)) & greater(external_ties(X!2, T!0), external_ties(X!2, T0!1)))) | smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1))) <=> (((~smaller_or_equal(internal_friction(X!2, T!0), internal_friction(X!2, T0!1))) | (~greater_or_equal(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1))) | (~greater(external_ties(X!2, T!0), external_ties(X!2, T0!1)))) | smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1)))),
% 0.19/0.47 inference(monotonicity,[status(thm)],[211])).
% 0.19/0.47 tff(213,plain,
% 0.19/0.47 (((~(greater_or_equal(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)) & greater(external_ties(X!2, T!0), external_ties(X!2, T0!1)))) | smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1))) <=> (smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1)) | (~smaller_or_equal(internal_friction(X!2, T!0), internal_friction(X!2, T0!1))) | (~greater_or_equal(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1))) | (~greater(external_ties(X!2, T!0), external_ties(X!2, T0!1))))),
% 0.19/0.47 inference(transitivity,[status(thm)],[212, 207])).
% 0.19/0.47 tff(214,plain,
% 0.19/0.47 ((((~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))) | (~greater_or_equal(external_ties(X!2, T!0), external_ties(X!2, T0!1)))) | smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1))) <=> (smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(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))) | (~greater_or_equal(external_ties(X!2, T!0), external_ties(X!2, T0!1))))),
% 0.19/0.47 inference(rewrite,[status(thm)],[])).
% 0.19/0.47 tff(215,plain,
% 0.19/0.47 ((~(~((~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))) | (~greater_or_equal(external_ties(X!2, T!0), external_ties(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))) | (~greater_or_equal(external_ties(X!2, T!0), external_ties(X!2, T0!1))))),
% 0.19/0.47 inference(rewrite,[status(thm)],[])).
% 0.19/0.47 tff(216,plain,
% 0.19/0.47 ((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)) & greater_or_equal(external_ties(X!2, T!0), external_ties(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))) | (~greater_or_equal(external_ties(X!2, T!0), external_ties(X!2, T0!1)))))),
% 0.19/0.47 inference(rewrite,[status(thm)],[])).
% 0.19/0.47 tff(217,plain,
% 0.19/0.47 ((~(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)) & greater_or_equal(external_ties(X!2, T!0), external_ties(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))) | (~greater_or_equal(external_ties(X!2, T!0), external_ties(X!2, T0!1))))))),
% 0.19/0.47 inference(monotonicity,[status(thm)],[216])).
% 0.19/0.47 tff(218,plain,
% 0.19/0.47 ((~(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)) & greater_or_equal(external_ties(X!2, T!0), external_ties(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))) | (~greater_or_equal(external_ties(X!2, T!0), external_ties(X!2, T0!1))))),
% 0.19/0.47 inference(transitivity,[status(thm)],[217, 215])).
% 0.19/0.47 tff(219,plain,
% 0.19/0.47 (((~(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)) & greater_or_equal(external_ties(X!2, T!0), external_ties(X!2, T0!1)))) | smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(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))) | (~greater_or_equal(external_ties(X!2, T!0), external_ties(X!2, T0!1)))) | smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1)))),
% 0.19/0.48 inference(monotonicity,[status(thm)],[218])).
% 0.19/0.48 tff(220,plain,
% 0.19/0.48 (((~(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)) & greater_or_equal(external_ties(X!2, T!0), external_ties(X!2, T0!1)))) | smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1))) <=> (smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(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))) | (~greater_or_equal(external_ties(X!2, T!0), external_ties(X!2, T0!1))))),
% 0.19/0.48 inference(transitivity,[status(thm)],[219, 214])).
% 0.19/0.48 tff(221,plain,
% 0.19/0.48 ((((~(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)) & greater_or_equal(external_ties(X!2, T!0), external_ties(X!2, T0!1)))) | smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1))) & ((~(greater_or_equal(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)) & greater(external_ties(X!2, T!0), external_ties(X!2, T0!1)))) | smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1)))) <=> ((smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(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))) | (~greater_or_equal(external_ties(X!2, T!0), external_ties(X!2, T0!1)))) & (smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1)) | (~smaller_or_equal(internal_friction(X!2, T!0), internal_friction(X!2, T0!1))) | (~greater_or_equal(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1))) | (~greater(external_ties(X!2, T!0), external_ties(X!2, T0!1)))))),
% 0.19/0.48 inference(monotonicity,[status(thm)],[220, 213])).
% 0.19/0.48 tff(222,plain,
% 0.19/0.48 ((((~(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)) & greater_or_equal(external_ties(X!2, T!0), external_ties(X!2, T0!1)))) | smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1))) & ((~(greater_or_equal(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)) & greater(external_ties(X!2, T!0), external_ties(X!2, T0!1)))) | smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1)))) <=> (~((~(smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(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))) | (~greater_or_equal(external_ties(X!2, T!0), external_ties(X!2, T0!1))))) | (~(smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1)) | (~smaller_or_equal(internal_friction(X!2, T!0), internal_friction(X!2, T0!1))) | (~greater_or_equal(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1))) | (~greater(external_ties(X!2, T!0), external_ties(X!2, T0!1)))))))),
% 0.19/0.48 inference(transitivity,[status(thm)],[221, 206])).
% 0.19/0.48 tff(223,plain,
% 0.19/0.48 ((~(((~(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)) & greater_or_equal(external_ties(X!2, T!0), external_ties(X!2, T0!1)))) | smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1))) & ((~(greater_or_equal(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)) & greater(external_ties(X!2, T!0), external_ties(X!2, T0!1)))) | smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1))))) <=> (~(~((~(smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(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))) | (~greater_or_equal(external_ties(X!2, T!0), external_ties(X!2, T0!1))))) | (~(smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1)) | (~smaller_or_equal(internal_friction(X!2, T!0), internal_friction(X!2, T0!1))) | (~greater_or_equal(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1))) | (~greater(external_ties(X!2, T!0), external_ties(X!2, T0!1))))))))),
% 0.19/0.48 inference(monotonicity,[status(thm)],[222])).
% 0.19/0.48 tff(224,plain,
% 0.19/0.48 ((~(((~(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)) & greater_or_equal(external_ties(X!2, T!0), external_ties(X!2, T0!1)))) | smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1))) & ((~(greater_or_equal(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)) & greater(external_ties(X!2, T!0), external_ties(X!2, T0!1)))) | smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1))))) <=> ((~(smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(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))) | (~greater_or_equal(external_ties(X!2, T!0), external_ties(X!2, T0!1))))) | (~(smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1)) | (~smaller_or_equal(internal_friction(X!2, T!0), internal_friction(X!2, T0!1))) | (~greater_or_equal(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1))) | (~greater(external_ties(X!2, T!0), external_ties(X!2, T0!1))))))),
% 0.19/0.48 inference(transitivity,[status(thm)],[223, 205])).
% 0.19/0.48 tff(225,plain,
% 0.19/0.48 (~(((~(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)) & greater_or_equal(external_ties(X!2, T!0), external_ties(X!2, T0!1)))) | smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1))) & ((~(greater_or_equal(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)) & greater(external_ties(X!2, T!0), external_ties(X!2, T0!1)))) | smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1))))),
% 0.19/0.48 inference(or_elim,[status(thm)],[23])).
% 0.19/0.48 tff(226,plain,
% 0.19/0.48 ((~(smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(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))) | (~greater_or_equal(external_ties(X!2, T!0), external_ties(X!2, T0!1))))) | (~(smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1)) | (~smaller_or_equal(internal_friction(X!2, T!0), internal_friction(X!2, T0!1))) | (~greater_or_equal(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1))) | (~greater(external_ties(X!2, T!0), external_ties(X!2, T0!1)))))),
% 0.19/0.48 inference(modus_ponens,[status(thm)],[225, 224])).
% 0.19/0.48 tff(227,plain,
% 0.19/0.48 (~(smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(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))) | (~greater_or_equal(external_ties(X!2, T!0), external_ties(X!2, T0!1))))),
% 0.19/0.48 inference(unit_resolution,[status(thm)],[226, 204])).
% 0.19/0.48 tff(228,plain,
% 0.19/0.48 ((smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(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))) | (~greater_or_equal(external_ties(X!2, T!0), external_ties(X!2, T0!1)))) | smaller_or_equal(internal_friction(X!2, T!0), internal_friction(X!2, T0!1))),
% 0.19/0.48 inference(tautology,[status(thm)],[])).
% 0.19/0.48 tff(229,plain,
% 0.19/0.48 (smaller_or_equal(internal_friction(X!2, T!0), internal_friction(X!2, T0!1))),
% 0.19/0.48 inference(unit_resolution,[status(thm)],[228, 227])).
% 0.19/0.48 tff(230,plain,
% 0.19/0.48 ((smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(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))) | (~greater_or_equal(external_ties(X!2, T!0), external_ties(X!2, T0!1)))) | greater(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1))),
% 0.19/0.48 inference(tautology,[status(thm)],[])).
% 0.19/0.48 tff(231,plain,
% 0.19/0.48 (greater(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1))),
% 0.19/0.48 inference(unit_resolution,[status(thm)],[230, 227])).
% 0.19/0.48 tff(232,plain,
% 0.19/0.48 ((~((~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))) | greater(capability(X!2, T!0), capability(X!2, T0!1)))) | greater(capability(X!2, T!0), capability(X!2, T0!1))),
% 0.19/0.48 inference(unit_resolution,[status(thm)],[119, 231, 229])).
% 0.19/0.48 tff(233,plain,
% 0.19/0.48 (greater(capability(X!2, T!0), capability(X!2, T0!1))),
% 0.19/0.48 inference(unit_resolution,[status(thm)],[232, 74])).
% 0.19/0.48 tff(234,plain,
% 0.19/0.48 ((smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(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))) | (~greater_or_equal(external_ties(X!2, T!0), external_ties(X!2, T0!1)))) | (~smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1)))),
% 0.19/0.48 inference(tautology,[status(thm)],[])).
% 0.19/0.48 tff(235,plain,
% 0.19/0.48 (~smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1))),
% 0.19/0.48 inference(unit_resolution,[status(thm)],[234, 227])).
% 0.19/0.48 tff(236,plain,
% 0.19/0.48 ((~(smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1)) | (~greater(capability(X!2, T!0), capability(X!2, T0!1))) | (~greater_or_equal(position(X!2, T!0), position(X!2, T0!1))))) | (~greater(capability(X!2, T!0), capability(X!2, T0!1))) | (~greater_or_equal(position(X!2, T!0), position(X!2, T0!1)))),
% 0.19/0.48 inference(unit_resolution,[status(thm)],[114, 235])).
% 0.19/0.48 tff(237,plain,
% 0.19/0.48 (~greater_or_equal(position(X!2, T!0), position(X!2, T0!1))),
% 0.19/0.48 inference(unit_resolution,[status(thm)],[236, 233, 52])).
% 0.19/0.48 tff(238,plain,
% 0.19/0.48 ((~(greater_or_equal(position(X!2, T!0), position(X!2, T0!1)) <=> ((position(X!2, T!0) = position(X!2, T0!1)) | greater(position(X!2, T!0), position(X!2, T0!1))))) | (~((position(X!2, T!0) = position(X!2, T0!1)) | greater(position(X!2, T!0), position(X!2, T0!1))))),
% 0.19/0.48 inference(unit_resolution,[status(thm)],[109, 237])).
% 0.19/0.48 tff(239,plain,
% 0.19/0.48 (~((position(X!2, T!0) = position(X!2, T0!1)) | greater(position(X!2, T!0), position(X!2, T0!1)))),
% 0.19/0.48 inference(unit_resolution,[status(thm)],[238, 12])).
% 0.19/0.48 tff(240,plain,
% 0.19/0.48 (((~((~greater(external_ties(X!2, T!0), external_ties(X!2, T0!1))) | greater(position(X!2, T!0), position(X!2, T0!1)))) | (~((~(external_ties(X!2, T!0) = external_ties(X!2, T0!1))) | (position(X!2, T!0) = position(X!2, T0!1))))) | ((~(external_ties(X!2, T!0) = external_ties(X!2, T0!1))) | (position(X!2, T!0) = position(X!2, T0!1)))),
% 0.19/0.48 inference(tautology,[status(thm)],[])).
% 0.19/0.48 tff(241,plain,
% 0.19/0.48 ((~(external_ties(X!2, T!0) = external_ties(X!2, T0!1))) | (position(X!2, T!0) = position(X!2, T0!1))),
% 0.19/0.48 inference(unit_resolution,[status(thm)],[240, 99])).
% 0.19/0.48 tff(242,plain,
% 0.19/0.48 ((~![X: $i, Y: $i] : (greater_or_equal(X, Y) <=> ((X = Y) | greater(X, Y)))) | (greater_or_equal(external_ties(X!2, T!0), external_ties(X!2, T0!1)) <=> ((external_ties(X!2, T!0) = external_ties(X!2, T0!1)) | greater(external_ties(X!2, T!0), external_ties(X!2, T0!1))))),
% 0.19/0.48 inference(quant_inst,[status(thm)],[])).
% 0.19/0.48 tff(243,plain,
% 0.19/0.48 (greater_or_equal(external_ties(X!2, T!0), external_ties(X!2, T0!1)) <=> ((external_ties(X!2, T!0) = external_ties(X!2, T0!1)) | greater(external_ties(X!2, T!0), external_ties(X!2, T0!1)))),
% 0.19/0.48 inference(unit_resolution,[status(thm)],[242, 10])).
% 0.19/0.48 tff(244,plain,
% 0.19/0.48 ((smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(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))) | (~greater_or_equal(external_ties(X!2, T!0), external_ties(X!2, T0!1)))) | greater_or_equal(external_ties(X!2, T!0), external_ties(X!2, T0!1))),
% 0.19/0.48 inference(tautology,[status(thm)],[])).
% 0.19/0.48 tff(245,plain,
% 0.19/0.48 (greater_or_equal(external_ties(X!2, T!0), external_ties(X!2, T0!1))),
% 0.19/0.48 inference(unit_resolution,[status(thm)],[244, 227])).
% 0.19/0.48 tff(246,plain,
% 0.19/0.48 ((~(greater_or_equal(external_ties(X!2, T!0), external_ties(X!2, T0!1)) <=> ((external_ties(X!2, T!0) = external_ties(X!2, T0!1)) | greater(external_ties(X!2, T!0), external_ties(X!2, T0!1))))) | (~greater_or_equal(external_ties(X!2, T!0), external_ties(X!2, T0!1))) | ((external_ties(X!2, T!0) = external_ties(X!2, T0!1)) | greater(external_ties(X!2, T!0), external_ties(X!2, T0!1)))),
% 0.19/0.48 inference(tautology,[status(thm)],[])).
% 0.19/0.48 tff(247,plain,
% 0.19/0.48 ((~(greater_or_equal(external_ties(X!2, T!0), external_ties(X!2, T0!1)) <=> ((external_ties(X!2, T!0) = external_ties(X!2, T0!1)) | greater(external_ties(X!2, T!0), external_ties(X!2, T0!1))))) | ((external_ties(X!2, T!0) = external_ties(X!2, T0!1)) | greater(external_ties(X!2, T!0), external_ties(X!2, T0!1)))),
% 0.19/0.48 inference(unit_resolution,[status(thm)],[246, 245])).
% 0.19/0.48 tff(248,plain,
% 0.19/0.48 ((external_ties(X!2, T!0) = external_ties(X!2, T0!1)) | greater(external_ties(X!2, T!0), external_ties(X!2, T0!1))),
% 0.19/0.48 inference(unit_resolution,[status(thm)],[247, 243])).
% 0.19/0.48 tff(249,plain,
% 0.19/0.48 (((stock_of_knowledge(X!2, T!0) = stock_of_knowledge(X!2, T0!1)) | greater(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1))) | (~greater(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1)))),
% 0.19/0.48 inference(tautology,[status(thm)],[])).
% 0.19/0.48 tff(250,plain,
% 0.19/0.48 ((stock_of_knowledge(X!2, T!0) = stock_of_knowledge(X!2, T0!1)) | greater(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1))),
% 0.19/0.48 inference(unit_resolution,[status(thm)],[249, 231])).
% 0.19/0.48 tff(251,plain,
% 0.19/0.48 ((~(greater_or_equal(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1)) <=> ((stock_of_knowledge(X!2, T!0) = stock_of_knowledge(X!2, T0!1)) | greater(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1))))) | greater_or_equal(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1)) | (~((stock_of_knowledge(X!2, T!0) = stock_of_knowledge(X!2, T0!1)) | greater(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1))))),
% 0.19/0.48 inference(tautology,[status(thm)],[])).
% 0.19/0.48 tff(252,plain,
% 0.19/0.48 ((~(greater_or_equal(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1)) <=> ((stock_of_knowledge(X!2, T!0) = stock_of_knowledge(X!2, T0!1)) | greater(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1))))) | greater_or_equal(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1))),
% 0.19/0.48 inference(unit_resolution,[status(thm)],[251, 250])).
% 0.19/0.48 tff(253,plain,
% 0.19/0.48 (greater_or_equal(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1))),
% 0.19/0.48 inference(unit_resolution,[status(thm)],[252, 76])).
% 0.19/0.48 tff(254,plain,
% 0.19/0.48 ((~(smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1)) | (~smaller_or_equal(internal_friction(X!2, T!0), internal_friction(X!2, T0!1))) | (~greater_or_equal(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1))) | (~greater(external_ties(X!2, T!0), external_ties(X!2, T0!1))))) | smaller(hazard_of_mortality(X!2, T!0), hazard_of_mortality(X!2, T0!1)) | (~smaller_or_equal(internal_friction(X!2, T!0), internal_friction(X!2, T0!1))) | (~greater_or_equal(stock_of_knowledge(X!2, T!0), stock_of_knowledge(X!2, T0!1))) | (~greater(external_ties(X!2, T!0), external_ties(X!2, T0!1)))),
% 0.19/0.48 inference(tautology,[status(thm)],[])).
% 0.19/0.48 tff(255,plain,
% 0.19/0.48 (~greater(external_ties(X!2, T!0), external_ties(X!2, T0!1))),
% 0.19/0.48 inference(unit_resolution,[status(thm)],[254, 253, 204, 229, 235])).
% 0.19/0.48 tff(256,plain,
% 0.19/0.48 ((~((external_ties(X!2, T!0) = external_ties(X!2, T0!1)) | greater(external_ties(X!2, T!0), external_ties(X!2, T0!1)))) | (external_ties(X!2, T!0) = external_ties(X!2, T0!1)) | greater(external_ties(X!2, T!0), external_ties(X!2, T0!1))),
% 0.19/0.48 inference(tautology,[status(thm)],[])).
% 0.19/0.48 tff(257,plain,
% 0.19/0.48 (external_ties(X!2, T!0) = external_ties(X!2, T0!1)),
% 0.19/0.48 inference(unit_resolution,[status(thm)],[256, 255, 248])).
% 0.19/0.48 tff(258,plain,
% 0.19/0.48 ((~((~(external_ties(X!2, T!0) = external_ties(X!2, T0!1))) | (position(X!2, T!0) = position(X!2, T0!1)))) | (~(external_ties(X!2, T!0) = external_ties(X!2, T0!1))) | (position(X!2, T!0) = position(X!2, T0!1))),
% 0.19/0.48 inference(tautology,[status(thm)],[])).
% 0.19/0.48 tff(259,plain,
% 0.19/0.48 ((~((~(external_ties(X!2, T!0) = external_ties(X!2, T0!1))) | (position(X!2, T!0) = position(X!2, T0!1)))) | (position(X!2, T!0) = position(X!2, T0!1))),
% 0.19/0.48 inference(unit_resolution,[status(thm)],[258, 257])).
% 0.19/0.48 tff(260,plain,
% 0.19/0.48 (position(X!2, T!0) = position(X!2, T0!1)),
% 0.19/0.48 inference(unit_resolution,[status(thm)],[259, 241])).
% 0.19/0.48 tff(261,plain,
% 0.19/0.48 (((position(X!2, T!0) = position(X!2, T0!1)) | greater(position(X!2, T!0), position(X!2, T0!1))) | (~(position(X!2, T!0) = position(X!2, T0!1)))),
% 0.19/0.48 inference(tautology,[status(thm)],[])).
% 0.19/0.48 tff(262,plain,
% 0.19/0.48 ($false),
% 0.19/0.48 inference(unit_resolution,[status(thm)],[261, 260, 239])).
% 0.19/0.48 % SZS output end Proof
%------------------------------------------------------------------------------