TSTP Solution File: MGT035+2 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : MGT035+2 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n024.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 05:22:03 EDT 2022
% Result : Theorem 0.19s 0.47s
% Output : Proof 0.55s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : MGT035+2 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.34 % Computer : n024.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri Sep 2 02:48:18 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.12/0.34 Usage: tptp [options] [-file:]file
% 0.12/0.34 -h, -? prints this message.
% 0.12/0.34 -smt2 print SMT-LIB2 benchmark.
% 0.12/0.34 -m, -model generate model.
% 0.12/0.34 -p, -proof generate proof.
% 0.12/0.34 -c, -core generate unsat core of named formulas.
% 0.12/0.34 -st, -statistics display statistics.
% 0.12/0.34 -t:timeout set timeout (in second).
% 0.12/0.34 -smt2status display status in smt2 format instead of SZS.
% 0.12/0.34 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.12/0.34 -<param>:<value> configuration parameter and value.
% 0.12/0.34 -o:<output-file> file to place output in.
% 0.19/0.47 % SZS status Theorem
% 0.19/0.47 % SZS output start Proof
% 0.19/0.47 tff(greater_type, type, (
% 0.19/0.47 greater: ( $i * $i ) > $o)).
% 0.19/0.47 tff(tptp_fun_T_3_type, type, (
% 0.19/0.47 tptp_fun_T_3: $i > $i)).
% 0.19/0.47 tff(tptp_fun_T_0_type, type, (
% 0.19/0.47 tptp_fun_T_0: $i > $i)).
% 0.19/0.47 tff(tptp_fun_E_2_type, type, (
% 0.19/0.47 tptp_fun_E_2: $i)).
% 0.19/0.47 tff(tptp_fun_To_1_type, type, (
% 0.19/0.47 tptp_fun_To_1: $i > $i)).
% 0.19/0.47 tff(greater_or_equal_type, type, (
% 0.19/0.47 greater_or_equal: ( $i * $i ) > $o)).
% 0.19/0.47 tff(growth_rate_type, type, (
% 0.19/0.47 growth_rate: ( $i * $i ) > $i)).
% 0.19/0.47 tff(first_movers_type, type, (
% 0.19/0.47 first_movers: $i)).
% 0.19/0.47 tff(efficient_producers_type, type, (
% 0.19/0.47 efficient_producers: $i)).
% 0.19/0.47 tff(zero_type, type, (
% 0.19/0.47 zero: $i)).
% 0.19/0.47 tff(constant_type, type, (
% 0.19/0.47 constant: $i > $o)).
% 0.19/0.47 tff(cardinality_at_time_type, type, (
% 0.19/0.47 cardinality_at_time: ( $i * $i ) > $i)).
% 0.19/0.47 tff(equilibrium_type, type, (
% 0.19/0.47 equilibrium: $i > $i)).
% 0.19/0.47 tff(in_environment_type, type, (
% 0.19/0.47 in_environment: ( $i * $i ) > $o)).
% 0.19/0.47 tff(subpopulations_type, type, (
% 0.19/0.47 subpopulations: ( $i * $i * $i * $i ) > $o)).
% 0.19/0.47 tff(outcompetes_type, type, (
% 0.19/0.47 outcompetes: ( $i * $i * $i ) > $o)).
% 0.19/0.47 tff(stable_type, type, (
% 0.19/0.47 stable: $i > $o)).
% 0.19/0.47 tff(environment_type, type, (
% 0.19/0.47 environment: $i > $o)).
% 0.19/0.47 tff(resources_type, type, (
% 0.19/0.47 resources: ( $i * $i ) > $i)).
% 0.19/0.47 tff(number_of_organizations_type, type, (
% 0.19/0.47 number_of_organizations: ( $i * $i ) > $i)).
% 0.19/0.47 tff(increases_type, type, (
% 0.19/0.47 increases: $i > $o)).
% 0.19/0.47 tff(decreases_type, type, (
% 0.19/0.47 decreases: $i > $o)).
% 0.19/0.47 tff(subpopulation_type, type, (
% 0.19/0.47 subpopulation: ( $i * $i * $i ) > $o)).
% 0.19/0.47 tff(sum_type, type, (
% 0.19/0.47 sum: ( $i * $i ) > $i)).
% 0.19/0.47 tff(1,plain,
% 0.19/0.47 ((tptp_fun_To_1(E!2) = tptp_fun_T_3(tptp_fun_T_0(E!2))) <=> (tptp_fun_T_3(tptp_fun_T_0(E!2)) = tptp_fun_To_1(E!2))),
% 0.19/0.47 inference(commutativity,[status(thm)],[])).
% 0.19/0.47 tff(2,plain,
% 0.19/0.47 ((tptp_fun_T_3(tptp_fun_T_0(E!2)) = tptp_fun_To_1(E!2)) <=> (tptp_fun_To_1(E!2) = tptp_fun_T_3(tptp_fun_T_0(E!2)))),
% 0.19/0.47 inference(symmetry,[status(thm)],[1])).
% 0.19/0.47 tff(3,plain,
% 0.19/0.47 ((~(tptp_fun_T_3(tptp_fun_T_0(E!2)) = tptp_fun_To_1(E!2))) <=> (~(tptp_fun_To_1(E!2) = tptp_fun_T_3(tptp_fun_T_0(E!2))))),
% 0.19/0.47 inference(monotonicity,[status(thm)],[2])).
% 0.19/0.47 tff(4,plain,
% 0.19/0.47 (^[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))))),
% 0.19/0.47 inference(bind,[status(th)],[])).
% 0.19/0.47 tff(5,plain,
% 0.19/0.47 (![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)))),
% 0.19/0.47 inference(quant_intro,[status(thm)],[4])).
% 0.19/0.47 tff(6,plain,
% 0.19/0.47 (![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)))),
% 0.19/0.47 inference(rewrite,[status(thm)],[])).
% 0.19/0.47 tff(7,plain,
% 0.19/0.47 (^[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))))),
% 0.19/0.47 inference(bind,[status(th)],[])).
% 0.19/0.47 tff(8,plain,
% 0.19/0.47 (![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)))),
% 0.19/0.47 inference(quant_intro,[status(thm)],[7])).
% 0.19/0.47 tff(9,axiom,(![X: $i, Y: $i] : (greater_or_equal(X, Y) <=> (greater(X, Y) | (X = Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','mp_greater_or_equal')).
% 0.19/0.47 tff(10,plain,
% 0.19/0.47 (![X: $i, Y: $i] : (greater_or_equal(X, Y) <=> ((X = Y) | greater(X, Y)))),
% 0.19/0.47 inference(modus_ponens,[status(thm)],[9, 8])).
% 0.19/0.47 tff(11,plain,
% 0.19/0.47 (![X: $i, Y: $i] : (greater_or_equal(X, Y) <=> ((X = Y) | greater(X, Y)))),
% 0.19/0.47 inference(modus_ponens,[status(thm)],[10, 6])).
% 0.19/0.47 tff(12,plain,(
% 0.19/0.47 ![X: $i, Y: $i] : (greater_or_equal(X, Y) <=> ((X = Y) | greater(X, Y)))),
% 0.19/0.47 inference(skolemize,[status(sab)],[11])).
% 0.19/0.47 tff(13,plain,
% 0.19/0.47 (![X: $i, Y: $i] : (greater_or_equal(X, Y) <=> ((X = Y) | greater(X, Y)))),
% 0.19/0.47 inference(modus_ponens,[status(thm)],[12, 5])).
% 0.19/0.47 tff(14,plain,
% 0.19/0.47 ((~![X: $i, Y: $i] : (greater_or_equal(X, Y) <=> ((X = Y) | greater(X, Y)))) | (greater_or_equal(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_To_1(E!2)) <=> ((tptp_fun_T_3(tptp_fun_T_0(E!2)) = tptp_fun_To_1(E!2)) | greater(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_To_1(E!2))))),
% 0.19/0.47 inference(quant_inst,[status(thm)],[])).
% 0.19/0.47 tff(15,plain,
% 0.19/0.47 (greater_or_equal(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_To_1(E!2)) <=> ((tptp_fun_T_3(tptp_fun_T_0(E!2)) = tptp_fun_To_1(E!2)) | greater(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_To_1(E!2)))),
% 0.19/0.47 inference(unit_resolution,[status(thm)],[14, 13])).
% 0.19/0.47 tff(16,plain,
% 0.19/0.47 ((tptp_fun_To_1(E!2) = tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))) <=> (tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))) = tptp_fun_To_1(E!2))),
% 0.19/0.47 inference(commutativity,[status(thm)],[])).
% 0.19/0.47 tff(17,plain,
% 0.19/0.47 ((tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))) = tptp_fun_To_1(E!2)) <=> (tptp_fun_To_1(E!2) = tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))),
% 0.19/0.47 inference(symmetry,[status(thm)],[16])).
% 0.19/0.47 tff(18,plain,
% 0.19/0.47 ((~(tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))) = tptp_fun_To_1(E!2))) <=> (~(tptp_fun_To_1(E!2) = tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))),
% 0.19/0.47 inference(monotonicity,[status(thm)],[17])).
% 0.19/0.47 tff(19,assumption,(~((tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))) = tptp_fun_To_1(E!2)) | greater(tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))), tptp_fun_To_1(E!2)))), introduced(assumption)).
% 0.19/0.47 tff(20,plain,
% 0.19/0.47 (((tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))) = tptp_fun_To_1(E!2)) | greater(tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))), tptp_fun_To_1(E!2))) | (~(tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))) = tptp_fun_To_1(E!2)))),
% 0.19/0.47 inference(tautology,[status(thm)],[])).
% 0.19/0.47 tff(21,plain,
% 0.19/0.47 (~(tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))) = tptp_fun_To_1(E!2))),
% 0.19/0.47 inference(unit_resolution,[status(thm)],[20, 19])).
% 0.19/0.47 tff(22,plain,
% 0.19/0.47 (~(tptp_fun_To_1(E!2) = tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))),
% 0.19/0.47 inference(modus_ponens,[status(thm)],[21, 18])).
% 0.19/0.47 tff(23,plain,
% 0.19/0.47 (((tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))) = tptp_fun_To_1(E!2)) | greater(tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))), tptp_fun_To_1(E!2))) | (~greater(tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))), tptp_fun_To_1(E!2)))),
% 0.19/0.47 inference(tautology,[status(thm)],[])).
% 0.19/0.47 tff(24,plain,
% 0.19/0.47 (~greater(tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))), tptp_fun_To_1(E!2))),
% 0.19/0.47 inference(unit_resolution,[status(thm)],[23, 19])).
% 0.19/0.47 tff(25,plain,
% 0.19/0.47 (((environment(E!2) & stable(E!2)) & ![To: $i] : ((~in_environment(E!2, To)) | (~((~(subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(To)) & greater_or_equal(tptp_fun_T_3(To), To))) | outcompetes(efficient_producers, first_movers, tptp_fun_T_3(To)))))) <=> (environment(E!2) & stable(E!2) & ![To: $i] : ((~in_environment(E!2, To)) | (~((~(subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(To)) & greater_or_equal(tptp_fun_T_3(To), To))) | outcompetes(efficient_producers, first_movers, tptp_fun_T_3(To))))))),
% 0.19/0.47 inference(rewrite,[status(thm)],[])).
% 0.19/0.47 tff(26,plain,
% 0.19/0.47 ((~(~(environment(E!2) & stable(E!2)))) <=> (environment(E!2) & stable(E!2))),
% 0.19/0.47 inference(rewrite,[status(thm)],[])).
% 0.19/0.47 tff(27,plain,
% 0.19/0.47 (((~(~(environment(E!2) & stable(E!2)))) & ![To: $i] : ((~in_environment(E!2, To)) | (~((~(subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(To)) & greater_or_equal(tptp_fun_T_3(To), To))) | outcompetes(efficient_producers, first_movers, tptp_fun_T_3(To)))))) <=> ((environment(E!2) & stable(E!2)) & ![To: $i] : ((~in_environment(E!2, To)) | (~((~(subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(To)) & greater_or_equal(tptp_fun_T_3(To), To))) | outcompetes(efficient_producers, first_movers, tptp_fun_T_3(To))))))),
% 0.19/0.48 inference(monotonicity,[status(thm)],[26])).
% 0.19/0.48 tff(28,plain,
% 0.19/0.48 (((~(~(environment(E!2) & stable(E!2)))) & ![To: $i] : ((~in_environment(E!2, To)) | (~((~(subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(To)) & greater_or_equal(tptp_fun_T_3(To), To))) | outcompetes(efficient_producers, first_movers, tptp_fun_T_3(To)))))) <=> (environment(E!2) & stable(E!2) & ![To: $i] : ((~in_environment(E!2, To)) | (~((~(subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(To)) & greater_or_equal(tptp_fun_T_3(To), To))) | outcompetes(efficient_producers, first_movers, tptp_fun_T_3(To))))))),
% 0.19/0.48 inference(transitivity,[status(thm)],[27, 25])).
% 0.19/0.48 tff(29,plain,
% 0.19/0.48 ((~![E: $i] : ((~(environment(E) & stable(E))) | ?[To: $i] : (in_environment(E, To) & ![T: $i] : ((~(subpopulations(first_movers, efficient_producers, E, T) & greater_or_equal(T, To))) | outcompetes(efficient_producers, first_movers, T))))) <=> (~![E: $i] : ((~(environment(E) & stable(E))) | ?[To: $i] : (in_environment(E, To) & ![T: $i] : ((~(subpopulations(first_movers, efficient_producers, E, T) & greater_or_equal(T, To))) | outcompetes(efficient_producers, first_movers, T)))))),
% 0.19/0.48 inference(rewrite,[status(thm)],[])).
% 0.19/0.48 tff(30,plain,
% 0.19/0.48 ((~![E: $i] : ((environment(E) & stable(E)) => ?[To: $i] : (in_environment(E, To) & ![T: $i] : ((subpopulations(first_movers, efficient_producers, E, T) & greater_or_equal(T, To)) => outcompetes(efficient_producers, first_movers, T))))) <=> (~![E: $i] : ((~(environment(E) & stable(E))) | ?[To: $i] : (in_environment(E, To) & ![T: $i] : ((~(subpopulations(first_movers, efficient_producers, E, T) & greater_or_equal(T, To))) | outcompetes(efficient_producers, first_movers, T)))))),
% 0.19/0.48 inference(rewrite,[status(thm)],[])).
% 0.19/0.48 tff(31,axiom,(~![E: $i] : ((environment(E) & stable(E)) => ?[To: $i] : (in_environment(E, To) & ![T: $i] : ((subpopulations(first_movers, efficient_producers, E, T) & greater_or_equal(T, To)) => outcompetes(efficient_producers, first_movers, T))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_t4')).
% 0.19/0.48 tff(32,plain,
% 0.19/0.48 (~![E: $i] : ((~(environment(E) & stable(E))) | ?[To: $i] : (in_environment(E, To) & ![T: $i] : ((~(subpopulations(first_movers, efficient_producers, E, T) & greater_or_equal(T, To))) | outcompetes(efficient_producers, first_movers, T))))),
% 0.19/0.48 inference(modus_ponens,[status(thm)],[31, 30])).
% 0.19/0.48 tff(33,plain,
% 0.19/0.48 (~![E: $i] : ((~(environment(E) & stable(E))) | ?[To: $i] : (in_environment(E, To) & ![T: $i] : ((~(subpopulations(first_movers, efficient_producers, E, T) & greater_or_equal(T, To))) | outcompetes(efficient_producers, first_movers, T))))),
% 0.19/0.48 inference(modus_ponens,[status(thm)],[32, 29])).
% 0.19/0.48 tff(34,plain,
% 0.19/0.48 (~![E: $i] : ((~(environment(E) & stable(E))) | ?[To: $i] : (in_environment(E, To) & ![T: $i] : ((~(subpopulations(first_movers, efficient_producers, E, T) & greater_or_equal(T, To))) | outcompetes(efficient_producers, first_movers, T))))),
% 0.19/0.48 inference(modus_ponens,[status(thm)],[33, 29])).
% 0.19/0.48 tff(35,plain,
% 0.19/0.48 (~![E: $i] : ((~(environment(E) & stable(E))) | ?[To: $i] : (in_environment(E, To) & ![T: $i] : ((~(subpopulations(first_movers, efficient_producers, E, T) & greater_or_equal(T, To))) | outcompetes(efficient_producers, first_movers, T))))),
% 0.19/0.48 inference(modus_ponens,[status(thm)],[34, 29])).
% 0.19/0.48 tff(36,plain,
% 0.19/0.48 (~![E: $i] : ((~(environment(E) & stable(E))) | ?[To: $i] : (in_environment(E, To) & ![T: $i] : ((~(subpopulations(first_movers, efficient_producers, E, T) & greater_or_equal(T, To))) | outcompetes(efficient_producers, first_movers, T))))),
% 0.19/0.48 inference(modus_ponens,[status(thm)],[35, 29])).
% 0.19/0.48 tff(37,plain,
% 0.19/0.48 (~![E: $i] : ((~(environment(E) & stable(E))) | ?[To: $i] : (in_environment(E, To) & ![T: $i] : ((~(subpopulations(first_movers, efficient_producers, E, T) & greater_or_equal(T, To))) | outcompetes(efficient_producers, first_movers, T))))),
% 0.19/0.48 inference(modus_ponens,[status(thm)],[36, 29])).
% 0.19/0.48 tff(38,plain,
% 0.19/0.48 (~![E: $i] : ((~(environment(E) & stable(E))) | ?[To: $i] : (in_environment(E, To) & ![T: $i] : ((~(subpopulations(first_movers, efficient_producers, E, T) & greater_or_equal(T, To))) | outcompetes(efficient_producers, first_movers, T))))),
% 0.19/0.48 inference(modus_ponens,[status(thm)],[37, 29])).
% 0.19/0.48 tff(39,plain,
% 0.19/0.48 (environment(E!2) & stable(E!2) & ![To: $i] : ((~in_environment(E!2, To)) | (~((~(subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(To)) & greater_or_equal(tptp_fun_T_3(To), To))) | outcompetes(efficient_producers, first_movers, tptp_fun_T_3(To)))))),
% 0.19/0.48 inference(modus_ponens,[status(thm)],[38, 28])).
% 0.19/0.48 tff(40,plain,
% 0.19/0.48 (stable(E!2)),
% 0.19/0.48 inference(and_elim,[status(thm)],[39])).
% 0.19/0.48 tff(41,plain,
% 0.19/0.48 (environment(E!2)),
% 0.19/0.48 inference(and_elim,[status(thm)],[39])).
% 0.19/0.48 tff(42,plain,
% 0.19/0.48 (^[E: $i] : refl(((~environment(E)) | (~stable(E)) | (~((~in_environment(E, tptp_fun_To_1(E))) | (~![T: $i] : (greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T)) | (~subpopulations(first_movers, efficient_producers, E, T)) | (~greater_or_equal(T, tptp_fun_To_1(E)))))))) <=> ((~environment(E)) | (~stable(E)) | (~((~in_environment(E, tptp_fun_To_1(E))) | (~![T: $i] : (greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T)) | (~subpopulations(first_movers, efficient_producers, E, T)) | (~greater_or_equal(T, tptp_fun_To_1(E)))))))))),
% 0.19/0.48 inference(bind,[status(th)],[])).
% 0.19/0.48 tff(43,plain,
% 0.19/0.48 (![E: $i] : ((~environment(E)) | (~stable(E)) | (~((~in_environment(E, tptp_fun_To_1(E))) | (~![T: $i] : (greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T)) | (~subpopulations(first_movers, efficient_producers, E, T)) | (~greater_or_equal(T, tptp_fun_To_1(E)))))))) <=> ![E: $i] : ((~environment(E)) | (~stable(E)) | (~((~in_environment(E, tptp_fun_To_1(E))) | (~![T: $i] : (greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T)) | (~subpopulations(first_movers, efficient_producers, E, T)) | (~greater_or_equal(T, tptp_fun_To_1(E))))))))),
% 0.19/0.48 inference(quant_intro,[status(thm)],[42])).
% 0.19/0.48 tff(44,plain,
% 0.19/0.48 (^[E: $i] : rewrite(((~environment(E)) | (~stable(E)) | (~((~in_environment(E, tptp_fun_To_1(E))) | (~![T: $i] : (greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T)) | (~subpopulations(first_movers, efficient_producers, E, T)) | (~greater_or_equal(T, tptp_fun_To_1(E)))))))) <=> ((~environment(E)) | (~stable(E)) | (~((~in_environment(E, tptp_fun_To_1(E))) | (~![T: $i] : (greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T)) | (~subpopulations(first_movers, efficient_producers, E, T)) | (~greater_or_equal(T, tptp_fun_To_1(E)))))))))),
% 0.19/0.48 inference(bind,[status(th)],[])).
% 0.19/0.48 tff(45,plain,
% 0.19/0.48 (![E: $i] : ((~environment(E)) | (~stable(E)) | (~((~in_environment(E, tptp_fun_To_1(E))) | (~![T: $i] : (greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T)) | (~subpopulations(first_movers, efficient_producers, E, T)) | (~greater_or_equal(T, tptp_fun_To_1(E)))))))) <=> ![E: $i] : ((~environment(E)) | (~stable(E)) | (~((~in_environment(E, tptp_fun_To_1(E))) | (~![T: $i] : (greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T)) | (~subpopulations(first_movers, efficient_producers, E, T)) | (~greater_or_equal(T, tptp_fun_To_1(E))))))))),
% 0.19/0.48 inference(quant_intro,[status(thm)],[44])).
% 0.19/0.48 tff(46,plain,
% 0.19/0.48 (![E: $i] : ((~environment(E)) | (~stable(E)) | (~((~in_environment(E, tptp_fun_To_1(E))) | (~![T: $i] : (greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T)) | (~subpopulations(first_movers, efficient_producers, E, T)) | (~greater_or_equal(T, tptp_fun_To_1(E)))))))) <=> ![E: $i] : ((~environment(E)) | (~stable(E)) | (~((~in_environment(E, tptp_fun_To_1(E))) | (~![T: $i] : (greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T)) | (~subpopulations(first_movers, efficient_producers, E, T)) | (~greater_or_equal(T, tptp_fun_To_1(E))))))))),
% 0.19/0.48 inference(transitivity,[status(thm)],[45, 43])).
% 0.19/0.48 tff(47,plain,
% 0.19/0.48 (^[E: $i] : trans(monotonicity(trans(monotonicity(rewrite((environment(E) & stable(E)) <=> (~((~environment(E)) | (~stable(E))))), ((~(environment(E) & stable(E))) <=> (~(~((~environment(E)) | (~stable(E))))))), rewrite((~(~((~environment(E)) | (~stable(E))))) <=> ((~environment(E)) | (~stable(E)))), ((~(environment(E) & stable(E))) <=> ((~environment(E)) | (~stable(E))))), trans(monotonicity(quant_intro(proof_bind(^[T: $i] : trans(monotonicity(trans(monotonicity(rewrite((subpopulations(first_movers, efficient_producers, E, T) & greater_or_equal(T, tptp_fun_To_1(E))) <=> (~((~subpopulations(first_movers, efficient_producers, E, T)) | (~greater_or_equal(T, tptp_fun_To_1(E)))))), ((~(subpopulations(first_movers, efficient_producers, E, T) & greater_or_equal(T, tptp_fun_To_1(E)))) <=> (~(~((~subpopulations(first_movers, efficient_producers, E, T)) | (~greater_or_equal(T, tptp_fun_To_1(E)))))))), rewrite((~(~((~subpopulations(first_movers, efficient_producers, E, T)) | (~greater_or_equal(T, tptp_fun_To_1(E)))))) <=> ((~subpopulations(first_movers, efficient_producers, E, T)) | (~greater_or_equal(T, tptp_fun_To_1(E))))), ((~(subpopulations(first_movers, efficient_producers, E, T) & greater_or_equal(T, tptp_fun_To_1(E)))) <=> ((~subpopulations(first_movers, efficient_producers, E, T)) | (~greater_or_equal(T, tptp_fun_To_1(E)))))), (((~(subpopulations(first_movers, efficient_producers, E, T) & greater_or_equal(T, tptp_fun_To_1(E)))) | greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T))) <=> (((~subpopulations(first_movers, efficient_producers, E, T)) | (~greater_or_equal(T, tptp_fun_To_1(E)))) | greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T))))), rewrite((((~subpopulations(first_movers, efficient_producers, E, T)) | (~greater_or_equal(T, tptp_fun_To_1(E)))) | greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T))) <=> (greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T)) | (~subpopulations(first_movers, efficient_producers, E, T)) | (~greater_or_equal(T, tptp_fun_To_1(E))))), (((~(subpopulations(first_movers, efficient_producers, E, T) & greater_or_equal(T, tptp_fun_To_1(E)))) | greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T))) <=> (greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T)) | (~subpopulations(first_movers, efficient_producers, E, T)) | (~greater_or_equal(T, tptp_fun_To_1(E))))))), (![T: $i] : ((~(subpopulations(first_movers, efficient_producers, E, T) & greater_or_equal(T, tptp_fun_To_1(E)))) | greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T))) <=> ![T: $i] : (greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T)) | (~subpopulations(first_movers, efficient_producers, E, T)) | (~greater_or_equal(T, tptp_fun_To_1(E)))))), ((in_environment(E, tptp_fun_To_1(E)) & ![T: $i] : ((~(subpopulations(first_movers, efficient_producers, E, T) & greater_or_equal(T, tptp_fun_To_1(E)))) | greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T)))) <=> (in_environment(E, tptp_fun_To_1(E)) & ![T: $i] : (greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T)) | (~subpopulations(first_movers, efficient_producers, E, T)) | (~greater_or_equal(T, tptp_fun_To_1(E))))))), rewrite((in_environment(E, tptp_fun_To_1(E)) & ![T: $i] : (greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T)) | (~subpopulations(first_movers, efficient_producers, E, T)) | (~greater_or_equal(T, tptp_fun_To_1(E))))) <=> (~((~in_environment(E, tptp_fun_To_1(E))) | (~![T: $i] : (greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T)) | (~subpopulations(first_movers, efficient_producers, E, T)) | (~greater_or_equal(T, tptp_fun_To_1(E)))))))), ((in_environment(E, tptp_fun_To_1(E)) & ![T: $i] : ((~(subpopulations(first_movers, efficient_producers, E, T) & greater_or_equal(T, tptp_fun_To_1(E)))) | greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T)))) <=> (~((~in_environment(E, tptp_fun_To_1(E))) | (~![T: $i] : (greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T)) | (~subpopulations(first_movers, efficient_producers, E, T)) | (~greater_or_equal(T, tptp_fun_To_1(E))))))))), (((~(environment(E) & stable(E))) | (in_environment(E, tptp_fun_To_1(E)) & ![T: $i] : ((~(subpopulations(first_movers, efficient_producers, E, T) & greater_or_equal(T, tptp_fun_To_1(E)))) | greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T))))) <=> (((~environment(E)) | (~stable(E))) | (~((~in_environment(E, tptp_fun_To_1(E))) | (~![T: $i] : (greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T)) | (~subpopulations(first_movers, efficient_producers, E, T)) | (~greater_or_equal(T, tptp_fun_To_1(E)))))))))), rewrite((((~environment(E)) | (~stable(E))) | (~((~in_environment(E, tptp_fun_To_1(E))) | (~![T: $i] : (greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T)) | (~subpopulations(first_movers, efficient_producers, E, T)) | (~greater_or_equal(T, tptp_fun_To_1(E)))))))) <=> ((~environment(E)) | (~stable(E)) | (~((~in_environment(E, tptp_fun_To_1(E))) | (~![T: $i] : (greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T)) | (~subpopulations(first_movers, efficient_producers, E, T)) | (~greater_or_equal(T, tptp_fun_To_1(E))))))))), (((~(environment(E) & stable(E))) | (in_environment(E, tptp_fun_To_1(E)) & ![T: $i] : ((~(subpopulations(first_movers, efficient_producers, E, T) & greater_or_equal(T, tptp_fun_To_1(E)))) | greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T))))) <=> ((~environment(E)) | (~stable(E)) | (~((~in_environment(E, tptp_fun_To_1(E))) | (~![T: $i] : (greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T)) | (~subpopulations(first_movers, efficient_producers, E, T)) | (~greater_or_equal(T, tptp_fun_To_1(E))))))))))),
% 0.19/0.48 inference(bind,[status(th)],[])).
% 0.19/0.48 tff(48,plain,
% 0.19/0.48 (![E: $i] : ((~(environment(E) & stable(E))) | (in_environment(E, tptp_fun_To_1(E)) & ![T: $i] : ((~(subpopulations(first_movers, efficient_producers, E, T) & greater_or_equal(T, tptp_fun_To_1(E)))) | greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T))))) <=> ![E: $i] : ((~environment(E)) | (~stable(E)) | (~((~in_environment(E, tptp_fun_To_1(E))) | (~![T: $i] : (greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T)) | (~subpopulations(first_movers, efficient_producers, E, T)) | (~greater_or_equal(T, tptp_fun_To_1(E))))))))),
% 0.19/0.48 inference(quant_intro,[status(thm)],[47])).
% 0.19/0.48 tff(49,plain,
% 0.19/0.48 (![E: $i] : ((~(environment(E) & stable(E))) | ?[To: $i] : (in_environment(E, To) & ![T: $i] : ((~(subpopulations(first_movers, efficient_producers, E, T) & greater_or_equal(T, To))) | greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T))))) <=> ![E: $i] : ((~(environment(E) & stable(E))) | ?[To: $i] : (in_environment(E, To) & ![T: $i] : ((~(subpopulations(first_movers, efficient_producers, E, T) & greater_or_equal(T, To))) | greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T)))))),
% 0.19/0.48 inference(rewrite,[status(thm)],[])).
% 0.19/0.48 tff(50,plain,
% 0.19/0.48 (^[E: $i] : trans(monotonicity(quant_intro(proof_bind(^[To: $i] : rewrite((in_environment(E, To) & ![T: $i] : ((subpopulations(first_movers, efficient_producers, E, T) & greater_or_equal(T, To)) => greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T)))) <=> (in_environment(E, To) & ![T: $i] : ((~(subpopulations(first_movers, efficient_producers, E, T) & greater_or_equal(T, To))) | greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T)))))), (?[To: $i] : (in_environment(E, To) & ![T: $i] : ((subpopulations(first_movers, efficient_producers, E, T) & greater_or_equal(T, To)) => greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T)))) <=> ?[To: $i] : (in_environment(E, To) & ![T: $i] : ((~(subpopulations(first_movers, efficient_producers, E, T) & greater_or_equal(T, To))) | greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T)))))), (((environment(E) & stable(E)) => ?[To: $i] : (in_environment(E, To) & ![T: $i] : ((subpopulations(first_movers, efficient_producers, E, T) & greater_or_equal(T, To)) => greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T))))) <=> ((environment(E) & stable(E)) => ?[To: $i] : (in_environment(E, To) & ![T: $i] : ((~(subpopulations(first_movers, efficient_producers, E, T) & greater_or_equal(T, To))) | greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T))))))), rewrite(((environment(E) & stable(E)) => ?[To: $i] : (in_environment(E, To) & ![T: $i] : ((~(subpopulations(first_movers, efficient_producers, E, T) & greater_or_equal(T, To))) | greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T))))) <=> ((~(environment(E) & stable(E))) | ?[To: $i] : (in_environment(E, To) & ![T: $i] : ((~(subpopulations(first_movers, efficient_producers, E, T) & greater_or_equal(T, To))) | greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T)))))), (((environment(E) & stable(E)) => ?[To: $i] : (in_environment(E, To) & ![T: $i] : ((subpopulations(first_movers, efficient_producers, E, T) & greater_or_equal(T, To)) => greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T))))) <=> ((~(environment(E) & stable(E))) | ?[To: $i] : (in_environment(E, To) & ![T: $i] : ((~(subpopulations(first_movers, efficient_producers, E, T) & greater_or_equal(T, To))) | greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T)))))))),
% 0.19/0.49 inference(bind,[status(th)],[])).
% 0.19/0.49 tff(51,plain,
% 0.19/0.49 (![E: $i] : ((environment(E) & stable(E)) => ?[To: $i] : (in_environment(E, To) & ![T: $i] : ((subpopulations(first_movers, efficient_producers, E, T) & greater_or_equal(T, To)) => greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T))))) <=> ![E: $i] : ((~(environment(E) & stable(E))) | ?[To: $i] : (in_environment(E, To) & ![T: $i] : ((~(subpopulations(first_movers, efficient_producers, E, T) & greater_or_equal(T, To))) | greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T)))))),
% 0.19/0.49 inference(quant_intro,[status(thm)],[50])).
% 0.19/0.49 tff(52,axiom,(![E: $i] : ((environment(E) & stable(E)) => ?[To: $i] : (in_environment(E, To) & ![T: $i] : ((subpopulations(first_movers, efficient_producers, E, T) & greater_or_equal(T, To)) => greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','l1')).
% 0.19/0.49 tff(53,plain,
% 0.19/0.49 (![E: $i] : ((~(environment(E) & stable(E))) | ?[To: $i] : (in_environment(E, To) & ![T: $i] : ((~(subpopulations(first_movers, efficient_producers, E, T) & greater_or_equal(T, To))) | greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T)))))),
% 0.19/0.49 inference(modus_ponens,[status(thm)],[52, 51])).
% 0.19/0.49 tff(54,plain,
% 0.19/0.49 (![E: $i] : ((~(environment(E) & stable(E))) | ?[To: $i] : (in_environment(E, To) & ![T: $i] : ((~(subpopulations(first_movers, efficient_producers, E, T) & greater_or_equal(T, To))) | greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T)))))),
% 0.19/0.49 inference(modus_ponens,[status(thm)],[53, 49])).
% 0.19/0.49 tff(55,plain,(
% 0.19/0.49 ![E: $i] : ((~(environment(E) & stable(E))) | (in_environment(E, tptp_fun_To_1(E)) & ![T: $i] : ((~(subpopulations(first_movers, efficient_producers, E, T) & greater_or_equal(T, tptp_fun_To_1(E)))) | greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T)))))),
% 0.19/0.49 inference(skolemize,[status(sab)],[54])).
% 0.19/0.49 tff(56,plain,
% 0.19/0.49 (![E: $i] : ((~environment(E)) | (~stable(E)) | (~((~in_environment(E, tptp_fun_To_1(E))) | (~![T: $i] : (greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T)) | (~subpopulations(first_movers, efficient_producers, E, T)) | (~greater_or_equal(T, tptp_fun_To_1(E))))))))),
% 0.19/0.49 inference(modus_ponens,[status(thm)],[55, 48])).
% 0.19/0.49 tff(57,plain,
% 0.19/0.49 (![E: $i] : ((~environment(E)) | (~stable(E)) | (~((~in_environment(E, tptp_fun_To_1(E))) | (~![T: $i] : (greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T)) | (~subpopulations(first_movers, efficient_producers, E, T)) | (~greater_or_equal(T, tptp_fun_To_1(E))))))))),
% 0.19/0.49 inference(modus_ponens,[status(thm)],[56, 46])).
% 0.19/0.49 tff(58,plain,
% 0.19/0.49 (((~![E: $i] : ((~environment(E)) | (~stable(E)) | (~((~in_environment(E, tptp_fun_To_1(E))) | (~![T: $i] : (greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T)) | (~subpopulations(first_movers, efficient_producers, E, T)) | (~greater_or_equal(T, tptp_fun_To_1(E))))))))) | ((~environment(E!2)) | (~stable(E!2)) | (~((~in_environment(E!2, tptp_fun_To_1(E!2))) | (~![T: $i] : (greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T)) | (~subpopulations(first_movers, efficient_producers, E!2, T)) | (~greater_or_equal(T, tptp_fun_To_1(E!2))))))))) <=> ((~![E: $i] : ((~environment(E)) | (~stable(E)) | (~((~in_environment(E, tptp_fun_To_1(E))) | (~![T: $i] : (greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T)) | (~subpopulations(first_movers, efficient_producers, E, T)) | (~greater_or_equal(T, tptp_fun_To_1(E))))))))) | (~environment(E!2)) | (~stable(E!2)) | (~((~in_environment(E!2, tptp_fun_To_1(E!2))) | (~![T: $i] : (greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T)) | (~subpopulations(first_movers, efficient_producers, E!2, T)) | (~greater_or_equal(T, tptp_fun_To_1(E!2))))))))),
% 0.19/0.49 inference(rewrite,[status(thm)],[])).
% 0.19/0.49 tff(59,plain,
% 0.19/0.49 ((~![E: $i] : ((~environment(E)) | (~stable(E)) | (~((~in_environment(E, tptp_fun_To_1(E))) | (~![T: $i] : (greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T)) | (~subpopulations(first_movers, efficient_producers, E, T)) | (~greater_or_equal(T, tptp_fun_To_1(E))))))))) | ((~environment(E!2)) | (~stable(E!2)) | (~((~in_environment(E!2, tptp_fun_To_1(E!2))) | (~![T: $i] : (greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T)) | (~subpopulations(first_movers, efficient_producers, E!2, T)) | (~greater_or_equal(T, tptp_fun_To_1(E!2))))))))),
% 0.19/0.49 inference(quant_inst,[status(thm)],[])).
% 0.19/0.49 tff(60,plain,
% 0.19/0.49 ((~![E: $i] : ((~environment(E)) | (~stable(E)) | (~((~in_environment(E, tptp_fun_To_1(E))) | (~![T: $i] : (greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T)) | (~subpopulations(first_movers, efficient_producers, E, T)) | (~greater_or_equal(T, tptp_fun_To_1(E))))))))) | (~environment(E!2)) | (~stable(E!2)) | (~((~in_environment(E!2, tptp_fun_To_1(E!2))) | (~![T: $i] : (greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T)) | (~subpopulations(first_movers, efficient_producers, E!2, T)) | (~greater_or_equal(T, tptp_fun_To_1(E!2)))))))),
% 0.19/0.49 inference(modus_ponens,[status(thm)],[59, 58])).
% 0.19/0.49 tff(61,plain,
% 0.19/0.49 (~((~in_environment(E!2, tptp_fun_To_1(E!2))) | (~![T: $i] : (greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T)) | (~subpopulations(first_movers, efficient_producers, E!2, T)) | (~greater_or_equal(T, tptp_fun_To_1(E!2))))))),
% 0.19/0.49 inference(unit_resolution,[status(thm)],[60, 57, 41, 40])).
% 0.19/0.49 tff(62,plain,
% 0.19/0.49 (((~in_environment(E!2, tptp_fun_To_1(E!2))) | (~![T: $i] : (greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T)) | (~subpopulations(first_movers, efficient_producers, E!2, T)) | (~greater_or_equal(T, tptp_fun_To_1(E!2)))))) | in_environment(E!2, tptp_fun_To_1(E!2))),
% 0.19/0.49 inference(tautology,[status(thm)],[])).
% 0.19/0.49 tff(63,plain,
% 0.19/0.49 (in_environment(E!2, tptp_fun_To_1(E!2))),
% 0.19/0.49 inference(unit_resolution,[status(thm)],[62, 61])).
% 0.19/0.49 tff(64,plain,
% 0.19/0.49 (^[To: $i] : refl(((~in_environment(E!2, To)) | (~(outcompetes(efficient_producers, first_movers, tptp_fun_T_3(To)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(To))) | (~greater_or_equal(tptp_fun_T_3(To), To))))) <=> ((~in_environment(E!2, To)) | (~(outcompetes(efficient_producers, first_movers, tptp_fun_T_3(To)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(To))) | (~greater_or_equal(tptp_fun_T_3(To), To))))))),
% 0.19/0.49 inference(bind,[status(th)],[])).
% 0.19/0.49 tff(65,plain,
% 0.19/0.49 (![To: $i] : ((~in_environment(E!2, To)) | (~(outcompetes(efficient_producers, first_movers, tptp_fun_T_3(To)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(To))) | (~greater_or_equal(tptp_fun_T_3(To), To))))) <=> ![To: $i] : ((~in_environment(E!2, To)) | (~(outcompetes(efficient_producers, first_movers, tptp_fun_T_3(To)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(To))) | (~greater_or_equal(tptp_fun_T_3(To), To)))))),
% 0.19/0.49 inference(quant_intro,[status(thm)],[64])).
% 0.19/0.49 tff(66,plain,
% 0.19/0.49 (^[To: $i] : rewrite(((~in_environment(E!2, To)) | (~((~(subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(To)) & greater_or_equal(tptp_fun_T_3(To), To))) | outcompetes(efficient_producers, first_movers, tptp_fun_T_3(To))))) <=> ((~in_environment(E!2, To)) | (~(outcompetes(efficient_producers, first_movers, tptp_fun_T_3(To)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(To))) | (~greater_or_equal(tptp_fun_T_3(To), To))))))),
% 0.19/0.49 inference(bind,[status(th)],[])).
% 0.19/0.49 tff(67,plain,
% 0.19/0.49 (![To: $i] : ((~in_environment(E!2, To)) | (~((~(subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(To)) & greater_or_equal(tptp_fun_T_3(To), To))) | outcompetes(efficient_producers, first_movers, tptp_fun_T_3(To))))) <=> ![To: $i] : ((~in_environment(E!2, To)) | (~(outcompetes(efficient_producers, first_movers, tptp_fun_T_3(To)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(To))) | (~greater_or_equal(tptp_fun_T_3(To), To)))))),
% 0.19/0.49 inference(quant_intro,[status(thm)],[66])).
% 0.19/0.49 tff(68,plain,
% 0.19/0.49 (![To: $i] : ((~in_environment(E!2, To)) | (~((~(subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(To)) & greater_or_equal(tptp_fun_T_3(To), To))) | outcompetes(efficient_producers, first_movers, tptp_fun_T_3(To)))))),
% 0.19/0.49 inference(and_elim,[status(thm)],[39])).
% 0.19/0.49 tff(69,plain,
% 0.19/0.49 (![To: $i] : ((~in_environment(E!2, To)) | (~(outcompetes(efficient_producers, first_movers, tptp_fun_T_3(To)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(To))) | (~greater_or_equal(tptp_fun_T_3(To), To)))))),
% 0.19/0.49 inference(modus_ponens,[status(thm)],[68, 67])).
% 0.19/0.49 tff(70,plain,
% 0.19/0.49 (![To: $i] : ((~in_environment(E!2, To)) | (~(outcompetes(efficient_producers, first_movers, tptp_fun_T_3(To)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(To))) | (~greater_or_equal(tptp_fun_T_3(To), To)))))),
% 0.19/0.49 inference(modus_ponens,[status(thm)],[69, 65])).
% 0.19/0.49 tff(71,plain,
% 0.19/0.49 (((~![To: $i] : ((~in_environment(E!2, To)) | (~(outcompetes(efficient_producers, first_movers, tptp_fun_T_3(To)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(To))) | (~greater_or_equal(tptp_fun_T_3(To), To)))))) | ((~in_environment(E!2, tptp_fun_To_1(E!2))) | (~(outcompetes(efficient_producers, first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_To_1(E!2)), tptp_fun_To_1(E!2))))))) <=> ((~![To: $i] : ((~in_environment(E!2, To)) | (~(outcompetes(efficient_producers, first_movers, tptp_fun_T_3(To)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(To))) | (~greater_or_equal(tptp_fun_T_3(To), To)))))) | (~in_environment(E!2, tptp_fun_To_1(E!2))) | (~(outcompetes(efficient_producers, first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_To_1(E!2)), tptp_fun_To_1(E!2))))))),
% 0.19/0.49 inference(rewrite,[status(thm)],[])).
% 0.19/0.49 tff(72,plain,
% 0.19/0.49 ((~![To: $i] : ((~in_environment(E!2, To)) | (~(outcompetes(efficient_producers, first_movers, tptp_fun_T_3(To)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(To))) | (~greater_or_equal(tptp_fun_T_3(To), To)))))) | ((~in_environment(E!2, tptp_fun_To_1(E!2))) | (~(outcompetes(efficient_producers, first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_To_1(E!2)), tptp_fun_To_1(E!2))))))),
% 0.19/0.49 inference(quant_inst,[status(thm)],[])).
% 0.19/0.49 tff(73,plain,
% 0.19/0.49 ((~![To: $i] : ((~in_environment(E!2, To)) | (~(outcompetes(efficient_producers, first_movers, tptp_fun_T_3(To)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(To))) | (~greater_or_equal(tptp_fun_T_3(To), To)))))) | (~in_environment(E!2, tptp_fun_To_1(E!2))) | (~(outcompetes(efficient_producers, first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_To_1(E!2)), tptp_fun_To_1(E!2)))))),
% 0.19/0.49 inference(modus_ponens,[status(thm)],[72, 71])).
% 0.19/0.49 tff(74,plain,
% 0.19/0.49 (~(outcompetes(efficient_producers, first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_To_1(E!2)), tptp_fun_To_1(E!2))))),
% 0.19/0.49 inference(unit_resolution,[status(thm)],[73, 70, 63])).
% 0.19/0.49 tff(75,plain,
% 0.19/0.49 ((outcompetes(efficient_producers, first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_To_1(E!2)), tptp_fun_To_1(E!2)))) | subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))),
% 0.19/0.49 inference(tautology,[status(thm)],[])).
% 0.19/0.49 tff(76,plain,
% 0.19/0.49 (subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))),
% 0.19/0.49 inference(unit_resolution,[status(thm)],[75, 74])).
% 0.19/0.49 tff(77,plain,
% 0.19/0.49 (^[E: $i, T: $i] : refl((in_environment(E, T) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T))) <=> (in_environment(E, T) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T))))),
% 0.19/0.49 inference(bind,[status(th)],[])).
% 0.19/0.49 tff(78,plain,
% 0.19/0.49 (![E: $i, T: $i] : (in_environment(E, T) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T))) <=> ![E: $i, T: $i] : (in_environment(E, T) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)))),
% 0.19/0.49 inference(quant_intro,[status(thm)],[77])).
% 0.19/0.49 tff(79,plain,
% 0.19/0.49 (^[E: $i, T: $i] : trans(monotonicity(trans(monotonicity(rewrite((environment(E) & subpopulations(first_movers, efficient_producers, E, T)) <=> (~((~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T))))), ((~(environment(E) & subpopulations(first_movers, efficient_producers, E, T))) <=> (~(~((~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T))))))), rewrite((~(~((~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T))))) <=> ((~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)))), ((~(environment(E) & subpopulations(first_movers, efficient_producers, E, T))) <=> ((~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T))))), (((~(environment(E) & subpopulations(first_movers, efficient_producers, E, T))) | in_environment(E, T)) <=> (((~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T))) | in_environment(E, T)))), rewrite((((~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T))) | in_environment(E, T)) <=> (in_environment(E, T) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)))), (((~(environment(E) & subpopulations(first_movers, efficient_producers, E, T))) | in_environment(E, T)) <=> (in_environment(E, T) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)))))),
% 0.19/0.49 inference(bind,[status(th)],[])).
% 0.19/0.49 tff(80,plain,
% 0.19/0.49 (![E: $i, T: $i] : ((~(environment(E) & subpopulations(first_movers, efficient_producers, E, T))) | in_environment(E, T)) <=> ![E: $i, T: $i] : (in_environment(E, T) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)))),
% 0.19/0.49 inference(quant_intro,[status(thm)],[79])).
% 0.19/0.49 tff(81,plain,
% 0.19/0.49 (![E: $i, T: $i] : ((~(environment(E) & subpopulations(first_movers, efficient_producers, E, T))) | in_environment(E, T)) <=> ![E: $i, T: $i] : ((~(environment(E) & subpopulations(first_movers, efficient_producers, E, T))) | in_environment(E, T))),
% 0.19/0.49 inference(rewrite,[status(thm)],[])).
% 0.19/0.49 tff(82,plain,
% 0.19/0.49 (^[E: $i, T: $i] : rewrite(((environment(E) & subpopulations(first_movers, efficient_producers, E, T)) => in_environment(E, T)) <=> ((~(environment(E) & subpopulations(first_movers, efficient_producers, E, T))) | in_environment(E, T)))),
% 0.19/0.49 inference(bind,[status(th)],[])).
% 0.19/0.49 tff(83,plain,
% 0.19/0.49 (![E: $i, T: $i] : ((environment(E) & subpopulations(first_movers, efficient_producers, E, T)) => in_environment(E, T)) <=> ![E: $i, T: $i] : ((~(environment(E) & subpopulations(first_movers, efficient_producers, E, T))) | in_environment(E, T))),
% 0.19/0.50 inference(quant_intro,[status(thm)],[82])).
% 0.19/0.50 tff(84,axiom,(![E: $i, T: $i] : ((environment(E) & subpopulations(first_movers, efficient_producers, E, T)) => in_environment(E, T))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','mp_time_point_in_environment')).
% 0.19/0.50 tff(85,plain,
% 0.19/0.50 (![E: $i, T: $i] : ((~(environment(E) & subpopulations(first_movers, efficient_producers, E, T))) | in_environment(E, T))),
% 0.19/0.50 inference(modus_ponens,[status(thm)],[84, 83])).
% 0.19/0.50 tff(86,plain,
% 0.19/0.50 (![E: $i, T: $i] : ((~(environment(E) & subpopulations(first_movers, efficient_producers, E, T))) | in_environment(E, T))),
% 0.19/0.50 inference(modus_ponens,[status(thm)],[85, 81])).
% 0.19/0.50 tff(87,plain,(
% 0.19/0.50 ![E: $i, T: $i] : ((~(environment(E) & subpopulations(first_movers, efficient_producers, E, T))) | in_environment(E, T))),
% 0.19/0.50 inference(skolemize,[status(sab)],[86])).
% 0.19/0.50 tff(88,plain,
% 0.19/0.50 (![E: $i, T: $i] : (in_environment(E, T) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)))),
% 0.19/0.50 inference(modus_ponens,[status(thm)],[87, 80])).
% 0.19/0.50 tff(89,plain,
% 0.19/0.50 (![E: $i, T: $i] : (in_environment(E, T) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)))),
% 0.19/0.50 inference(modus_ponens,[status(thm)],[88, 78])).
% 0.19/0.50 tff(90,plain,
% 0.19/0.50 (((~![E: $i, T: $i] : (in_environment(E, T) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)))) | ((~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | in_environment(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2))))) <=> ((~![E: $i, T: $i] : (in_environment(E, T) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)))) | (~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | in_environment(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2))))),
% 0.19/0.50 inference(rewrite,[status(thm)],[])).
% 0.19/0.50 tff(91,plain,
% 0.19/0.50 ((in_environment(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2))) | (~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_To_1(E!2))))) <=> ((~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | in_environment(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2))))),
% 0.19/0.50 inference(rewrite,[status(thm)],[])).
% 0.19/0.50 tff(92,plain,
% 0.19/0.50 (((~![E: $i, T: $i] : (in_environment(E, T) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)))) | (in_environment(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2))) | (~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))))) <=> ((~![E: $i, T: $i] : (in_environment(E, T) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)))) | ((~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | in_environment(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))))),
% 0.19/0.50 inference(monotonicity,[status(thm)],[91])).
% 0.19/0.50 tff(93,plain,
% 0.19/0.50 (((~![E: $i, T: $i] : (in_environment(E, T) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)))) | (in_environment(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2))) | (~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))))) <=> ((~![E: $i, T: $i] : (in_environment(E, T) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)))) | (~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | in_environment(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2))))),
% 0.19/0.50 inference(transitivity,[status(thm)],[92, 90])).
% 0.19/0.50 tff(94,plain,
% 0.19/0.50 ((~![E: $i, T: $i] : (in_environment(E, T) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)))) | (in_environment(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2))) | (~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))))),
% 0.19/0.50 inference(quant_inst,[status(thm)],[])).
% 0.19/0.50 tff(95,plain,
% 0.19/0.50 ((~![E: $i, T: $i] : (in_environment(E, T) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)))) | (~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | in_environment(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))),
% 0.19/0.50 inference(modus_ponens,[status(thm)],[94, 93])).
% 0.19/0.50 tff(96,plain,
% 0.19/0.50 (in_environment(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))),
% 0.19/0.50 inference(unit_resolution,[status(thm)],[95, 89, 41, 76])).
% 0.19/0.50 tff(97,plain,
% 0.19/0.50 (((~![To: $i] : ((~in_environment(E!2, To)) | (~(outcompetes(efficient_producers, first_movers, tptp_fun_T_3(To)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(To))) | (~greater_or_equal(tptp_fun_T_3(To), To)))))) | ((~in_environment(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (~(outcompetes(efficient_producers, first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))), tptp_fun_T_3(tptp_fun_To_1(E!2)))))))) <=> ((~![To: $i] : ((~in_environment(E!2, To)) | (~(outcompetes(efficient_producers, first_movers, tptp_fun_T_3(To)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(To))) | (~greater_or_equal(tptp_fun_T_3(To), To)))))) | (~in_environment(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (~(outcompetes(efficient_producers, first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))), tptp_fun_T_3(tptp_fun_To_1(E!2)))))))),
% 0.19/0.50 inference(rewrite,[status(thm)],[])).
% 0.19/0.50 tff(98,plain,
% 0.19/0.50 ((~![To: $i] : ((~in_environment(E!2, To)) | (~(outcompetes(efficient_producers, first_movers, tptp_fun_T_3(To)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(To))) | (~greater_or_equal(tptp_fun_T_3(To), To)))))) | ((~in_environment(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (~(outcompetes(efficient_producers, first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))), tptp_fun_T_3(tptp_fun_To_1(E!2)))))))),
% 0.19/0.50 inference(quant_inst,[status(thm)],[])).
% 0.19/0.50 tff(99,plain,
% 0.19/0.50 ((~![To: $i] : ((~in_environment(E!2, To)) | (~(outcompetes(efficient_producers, first_movers, tptp_fun_T_3(To)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(To))) | (~greater_or_equal(tptp_fun_T_3(To), To)))))) | (~in_environment(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (~(outcompetes(efficient_producers, first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))), tptp_fun_T_3(tptp_fun_To_1(E!2))))))),
% 0.19/0.50 inference(modus_ponens,[status(thm)],[98, 97])).
% 0.19/0.50 tff(100,plain,
% 0.19/0.50 (~(outcompetes(efficient_producers, first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))), tptp_fun_T_3(tptp_fun_To_1(E!2)))))),
% 0.19/0.50 inference(unit_resolution,[status(thm)],[99, 70, 96])).
% 0.19/0.50 tff(101,plain,
% 0.19/0.50 ((outcompetes(efficient_producers, first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))), tptp_fun_T_3(tptp_fun_To_1(E!2))))) | subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))),
% 0.19/0.50 inference(tautology,[status(thm)],[])).
% 0.19/0.50 tff(102,plain,
% 0.19/0.50 (subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))),
% 0.19/0.50 inference(unit_resolution,[status(thm)],[101, 100])).
% 0.19/0.50 tff(103,plain,
% 0.19/0.50 (((~![E: $i, T: $i] : (in_environment(E, T) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)))) | ((~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | in_environment(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) <=> ((~![E: $i, T: $i] : (in_environment(E, T) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)))) | (~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | in_environment(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))),
% 0.19/0.50 inference(rewrite,[status(thm)],[])).
% 0.19/0.50 tff(104,plain,
% 0.19/0.50 ((in_environment(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) <=> ((~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | in_environment(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))),
% 0.19/0.50 inference(rewrite,[status(thm)],[])).
% 0.19/0.50 tff(105,plain,
% 0.19/0.50 (((~![E: $i, T: $i] : (in_environment(E, T) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)))) | (in_environment(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))))) <=> ((~![E: $i, T: $i] : (in_environment(E, T) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)))) | ((~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | in_environment(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))))),
% 0.19/0.50 inference(monotonicity,[status(thm)],[104])).
% 0.19/0.50 tff(106,plain,
% 0.19/0.50 (((~![E: $i, T: $i] : (in_environment(E, T) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)))) | (in_environment(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))))) <=> ((~![E: $i, T: $i] : (in_environment(E, T) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)))) | (~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | in_environment(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))),
% 0.19/0.50 inference(transitivity,[status(thm)],[105, 103])).
% 0.19/0.50 tff(107,plain,
% 0.19/0.50 ((~![E: $i, T: $i] : (in_environment(E, T) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)))) | (in_environment(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))))),
% 0.19/0.50 inference(quant_inst,[status(thm)],[])).
% 0.19/0.50 tff(108,plain,
% 0.19/0.50 ((~![E: $i, T: $i] : (in_environment(E, T) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)))) | (~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | in_environment(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))),
% 0.19/0.50 inference(modus_ponens,[status(thm)],[107, 106])).
% 0.19/0.50 tff(109,plain,
% 0.19/0.50 (in_environment(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))),
% 0.19/0.50 inference(unit_resolution,[status(thm)],[108, 89, 41, 102])).
% 0.19/0.50 tff(110,plain,
% 0.19/0.50 (^[E: $i, T1: $i, T2: $i] : refl((greater(T1, T2) | greater(T2, T1) | (T2 = T1) | (~in_environment(E, T1)) | (~in_environment(E, T2))) <=> (greater(T1, T2) | greater(T2, T1) | (T2 = T1) | (~in_environment(E, T1)) | (~in_environment(E, T2))))),
% 0.19/0.50 inference(bind,[status(th)],[])).
% 0.19/0.50 tff(111,plain,
% 0.19/0.50 (![E: $i, T1: $i, T2: $i] : (greater(T1, T2) | greater(T2, T1) | (T2 = T1) | (~in_environment(E, T1)) | (~in_environment(E, T2))) <=> ![E: $i, T1: $i, T2: $i] : (greater(T1, T2) | greater(T2, T1) | (T2 = T1) | (~in_environment(E, T1)) | (~in_environment(E, T2)))),
% 0.19/0.50 inference(quant_intro,[status(thm)],[110])).
% 0.19/0.50 tff(112,plain,
% 0.19/0.50 (^[E: $i, T1: $i, T2: $i] : trans(monotonicity(trans(monotonicity(rewrite((in_environment(E, T1) & in_environment(E, T2)) <=> (~((~in_environment(E, T1)) | (~in_environment(E, T2))))), ((~(in_environment(E, T1) & in_environment(E, T2))) <=> (~(~((~in_environment(E, T1)) | (~in_environment(E, T2))))))), rewrite((~(~((~in_environment(E, T1)) | (~in_environment(E, T2))))) <=> ((~in_environment(E, T1)) | (~in_environment(E, T2)))), ((~(in_environment(E, T1) & in_environment(E, T2))) <=> ((~in_environment(E, T1)) | (~in_environment(E, T2))))), ((greater(T1, T2) | greater(T2, T1) | (T2 = T1) | (~(in_environment(E, T1) & in_environment(E, T2)))) <=> (greater(T1, T2) | greater(T2, T1) | (T2 = T1) | ((~in_environment(E, T1)) | (~in_environment(E, T2)))))), rewrite((greater(T1, T2) | greater(T2, T1) | (T2 = T1) | ((~in_environment(E, T1)) | (~in_environment(E, T2)))) <=> (greater(T1, T2) | greater(T2, T1) | (T2 = T1) | (~in_environment(E, T1)) | (~in_environment(E, T2)))), ((greater(T1, T2) | greater(T2, T1) | (T2 = T1) | (~(in_environment(E, T1) & in_environment(E, T2)))) <=> (greater(T1, T2) | greater(T2, T1) | (T2 = T1) | (~in_environment(E, T1)) | (~in_environment(E, T2)))))),
% 0.19/0.50 inference(bind,[status(th)],[])).
% 0.19/0.50 tff(113,plain,
% 0.19/0.50 (![E: $i, T1: $i, T2: $i] : (greater(T1, T2) | greater(T2, T1) | (T2 = T1) | (~(in_environment(E, T1) & in_environment(E, T2)))) <=> ![E: $i, T1: $i, T2: $i] : (greater(T1, T2) | greater(T2, T1) | (T2 = T1) | (~in_environment(E, T1)) | (~in_environment(E, T2)))),
% 0.19/0.50 inference(quant_intro,[status(thm)],[112])).
% 0.19/0.50 tff(114,plain,
% 0.19/0.50 (![E: $i, T1: $i, T2: $i] : (greater(T1, T2) | greater(T2, T1) | (T2 = T1) | (~(in_environment(E, T1) & in_environment(E, T2)))) <=> ![E: $i, T1: $i, T2: $i] : (greater(T1, T2) | greater(T2, T1) | (T2 = T1) | (~(in_environment(E, T1) & in_environment(E, T2))))),
% 0.19/0.50 inference(rewrite,[status(thm)],[])).
% 0.19/0.50 tff(115,plain,
% 0.19/0.50 (^[E: $i, T1: $i, T2: $i] : trans(monotonicity(trans(monotonicity(rewrite((greater(T2, T1) | (T2 = T1)) <=> (greater(T2, T1) | (T2 = T1))), (((greater(T2, T1) | (T2 = T1)) | greater(T1, T2)) <=> ((greater(T2, T1) | (T2 = T1)) | greater(T1, T2)))), rewrite(((greater(T2, T1) | (T2 = T1)) | greater(T1, T2)) <=> (greater(T1, T2) | greater(T2, T1) | (T2 = T1))), (((greater(T2, T1) | (T2 = T1)) | greater(T1, T2)) <=> (greater(T1, T2) | greater(T2, T1) | (T2 = T1)))), (((in_environment(E, T1) & in_environment(E, T2)) => ((greater(T2, T1) | (T2 = T1)) | greater(T1, T2))) <=> ((in_environment(E, T1) & in_environment(E, T2)) => (greater(T1, T2) | greater(T2, T1) | (T2 = T1))))), rewrite(((in_environment(E, T1) & in_environment(E, T2)) => (greater(T1, T2) | greater(T2, T1) | (T2 = T1))) <=> (greater(T1, T2) | greater(T2, T1) | (T2 = T1) | (~(in_environment(E, T1) & in_environment(E, T2))))), (((in_environment(E, T1) & in_environment(E, T2)) => ((greater(T2, T1) | (T2 = T1)) | greater(T1, T2))) <=> (greater(T1, T2) | greater(T2, T1) | (T2 = T1) | (~(in_environment(E, T1) & in_environment(E, T2))))))),
% 0.19/0.50 inference(bind,[status(th)],[])).
% 0.19/0.50 tff(116,plain,
% 0.19/0.50 (![E: $i, T1: $i, T2: $i] : ((in_environment(E, T1) & in_environment(E, T2)) => ((greater(T2, T1) | (T2 = T1)) | greater(T1, T2))) <=> ![E: $i, T1: $i, T2: $i] : (greater(T1, T2) | greater(T2, T1) | (T2 = T1) | (~(in_environment(E, T1) & in_environment(E, T2))))),
% 0.19/0.50 inference(quant_intro,[status(thm)],[115])).
% 0.19/0.50 tff(117,axiom,(![E: $i, T1: $i, T2: $i] : ((in_environment(E, T1) & in_environment(E, T2)) => ((greater(T2, T1) | (T2 = T1)) | greater(T1, T2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','mp_times_in_environment')).
% 0.19/0.50 tff(118,plain,
% 0.19/0.50 (![E: $i, T1: $i, T2: $i] : (greater(T1, T2) | greater(T2, T1) | (T2 = T1) | (~(in_environment(E, T1) & in_environment(E, T2))))),
% 0.19/0.51 inference(modus_ponens,[status(thm)],[117, 116])).
% 0.19/0.51 tff(119,plain,
% 0.19/0.51 (![E: $i, T1: $i, T2: $i] : (greater(T1, T2) | greater(T2, T1) | (T2 = T1) | (~(in_environment(E, T1) & in_environment(E, T2))))),
% 0.19/0.51 inference(modus_ponens,[status(thm)],[118, 114])).
% 0.19/0.51 tff(120,plain,(
% 0.19/0.51 ![E: $i, T1: $i, T2: $i] : (greater(T1, T2) | greater(T2, T1) | (T2 = T1) | (~(in_environment(E, T1) & in_environment(E, T2))))),
% 0.19/0.51 inference(skolemize,[status(sab)],[119])).
% 0.19/0.51 tff(121,plain,
% 0.19/0.51 (![E: $i, T1: $i, T2: $i] : (greater(T1, T2) | greater(T2, T1) | (T2 = T1) | (~in_environment(E, T1)) | (~in_environment(E, T2)))),
% 0.19/0.51 inference(modus_ponens,[status(thm)],[120, 113])).
% 0.19/0.51 tff(122,plain,
% 0.19/0.51 (![E: $i, T1: $i, T2: $i] : (greater(T1, T2) | greater(T2, T1) | (T2 = T1) | (~in_environment(E, T1)) | (~in_environment(E, T2)))),
% 0.19/0.51 inference(modus_ponens,[status(thm)],[121, 111])).
% 0.19/0.51 tff(123,plain,
% 0.19/0.51 (((~![E: $i, T1: $i, T2: $i] : (greater(T1, T2) | greater(T2, T1) | (T2 = T1) | (~in_environment(E, T1)) | (~in_environment(E, T2)))) | ((~in_environment(E!2, tptp_fun_To_1(E!2))) | (~in_environment(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | greater(tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))), tptp_fun_To_1(E!2)) | greater(tptp_fun_To_1(E!2), tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (tptp_fun_To_1(E!2) = tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) <=> ((~![E: $i, T1: $i, T2: $i] : (greater(T1, T2) | greater(T2, T1) | (T2 = T1) | (~in_environment(E, T1)) | (~in_environment(E, T2)))) | (~in_environment(E!2, tptp_fun_To_1(E!2))) | (~in_environment(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | greater(tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))), tptp_fun_To_1(E!2)) | greater(tptp_fun_To_1(E!2), tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (tptp_fun_To_1(E!2) = tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))),
% 0.19/0.51 inference(rewrite,[status(thm)],[])).
% 0.19/0.51 tff(124,plain,
% 0.19/0.51 ((greater(tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))), tptp_fun_To_1(E!2)) | greater(tptp_fun_To_1(E!2), tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (tptp_fun_To_1(E!2) = tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (~in_environment(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~in_environment(E!2, tptp_fun_To_1(E!2)))) <=> ((~in_environment(E!2, tptp_fun_To_1(E!2))) | (~in_environment(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | greater(tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))), tptp_fun_To_1(E!2)) | greater(tptp_fun_To_1(E!2), tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (tptp_fun_To_1(E!2) = tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))),
% 0.19/0.51 inference(rewrite,[status(thm)],[])).
% 0.19/0.51 tff(125,plain,
% 0.19/0.51 (((~![E: $i, T1: $i, T2: $i] : (greater(T1, T2) | greater(T2, T1) | (T2 = T1) | (~in_environment(E, T1)) | (~in_environment(E, T2)))) | (greater(tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))), tptp_fun_To_1(E!2)) | greater(tptp_fun_To_1(E!2), tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (tptp_fun_To_1(E!2) = tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (~in_environment(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~in_environment(E!2, tptp_fun_To_1(E!2))))) <=> ((~![E: $i, T1: $i, T2: $i] : (greater(T1, T2) | greater(T2, T1) | (T2 = T1) | (~in_environment(E, T1)) | (~in_environment(E, T2)))) | ((~in_environment(E!2, tptp_fun_To_1(E!2))) | (~in_environment(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | greater(tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))), tptp_fun_To_1(E!2)) | greater(tptp_fun_To_1(E!2), tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (tptp_fun_To_1(E!2) = tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))))),
% 0.19/0.51 inference(monotonicity,[status(thm)],[124])).
% 0.19/0.51 tff(126,plain,
% 0.19/0.51 (((~![E: $i, T1: $i, T2: $i] : (greater(T1, T2) | greater(T2, T1) | (T2 = T1) | (~in_environment(E, T1)) | (~in_environment(E, T2)))) | (greater(tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))), tptp_fun_To_1(E!2)) | greater(tptp_fun_To_1(E!2), tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (tptp_fun_To_1(E!2) = tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (~in_environment(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~in_environment(E!2, tptp_fun_To_1(E!2))))) <=> ((~![E: $i, T1: $i, T2: $i] : (greater(T1, T2) | greater(T2, T1) | (T2 = T1) | (~in_environment(E, T1)) | (~in_environment(E, T2)))) | (~in_environment(E!2, tptp_fun_To_1(E!2))) | (~in_environment(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | greater(tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))), tptp_fun_To_1(E!2)) | greater(tptp_fun_To_1(E!2), tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (tptp_fun_To_1(E!2) = tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))),
% 0.19/0.51 inference(transitivity,[status(thm)],[125, 123])).
% 0.19/0.51 tff(127,plain,
% 0.19/0.51 ((~![E: $i, T1: $i, T2: $i] : (greater(T1, T2) | greater(T2, T1) | (T2 = T1) | (~in_environment(E, T1)) | (~in_environment(E, T2)))) | (greater(tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))), tptp_fun_To_1(E!2)) | greater(tptp_fun_To_1(E!2), tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (tptp_fun_To_1(E!2) = tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (~in_environment(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~in_environment(E!2, tptp_fun_To_1(E!2))))),
% 0.19/0.51 inference(quant_inst,[status(thm)],[])).
% 0.19/0.51 tff(128,plain,
% 0.19/0.51 ((~![E: $i, T1: $i, T2: $i] : (greater(T1, T2) | greater(T2, T1) | (T2 = T1) | (~in_environment(E, T1)) | (~in_environment(E, T2)))) | (~in_environment(E!2, tptp_fun_To_1(E!2))) | (~in_environment(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | greater(tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))), tptp_fun_To_1(E!2)) | greater(tptp_fun_To_1(E!2), tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (tptp_fun_To_1(E!2) = tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))),
% 0.19/0.51 inference(modus_ponens,[status(thm)],[127, 126])).
% 0.19/0.51 tff(129,plain,
% 0.19/0.51 (greater(tptp_fun_To_1(E!2), tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (tptp_fun_To_1(E!2) = tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))),
% 0.19/0.51 inference(unit_resolution,[status(thm)],[128, 122, 63, 109, 24])).
% 0.19/0.51 tff(130,plain,
% 0.19/0.51 (greater(tptp_fun_To_1(E!2), tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))),
% 0.19/0.51 inference(unit_resolution,[status(thm)],[129, 22])).
% 0.19/0.51 tff(131,plain,
% 0.19/0.51 ((tptp_fun_T_3(tptp_fun_To_1(E!2)) = tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))) <=> (tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))) = tptp_fun_T_3(tptp_fun_To_1(E!2)))),
% 0.19/0.51 inference(commutativity,[status(thm)],[])).
% 0.19/0.51 tff(132,plain,
% 0.19/0.51 ((tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))) = tptp_fun_T_3(tptp_fun_To_1(E!2))) <=> (tptp_fun_T_3(tptp_fun_To_1(E!2)) = tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))),
% 0.19/0.51 inference(symmetry,[status(thm)],[131])).
% 0.19/0.51 tff(133,assumption,(greater(tptp_fun_T_3(tptp_fun_To_1(E!2)), tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))), introduced(assumption)).
% 0.19/0.51 tff(134,plain,
% 0.19/0.51 (^[X: $i, Y: $i] : refl(((~greater(X, Y)) | (~greater(Y, X))) <=> ((~greater(X, Y)) | (~greater(Y, X))))),
% 0.19/0.51 inference(bind,[status(th)],[])).
% 0.19/0.51 tff(135,plain,
% 0.19/0.51 (![X: $i, Y: $i] : ((~greater(X, Y)) | (~greater(Y, X))) <=> ![X: $i, Y: $i] : ((~greater(X, Y)) | (~greater(Y, X)))),
% 0.19/0.51 inference(quant_intro,[status(thm)],[134])).
% 0.19/0.51 tff(136,plain,
% 0.19/0.51 (^[X: $i, Y: $i] : trans(monotonicity(rewrite((greater(X, Y) & greater(Y, X)) <=> (~((~greater(X, Y)) | (~greater(Y, X))))), ((~(greater(X, Y) & greater(Y, X))) <=> (~(~((~greater(X, Y)) | (~greater(Y, X))))))), rewrite((~(~((~greater(X, Y)) | (~greater(Y, X))))) <=> ((~greater(X, Y)) | (~greater(Y, X)))), ((~(greater(X, Y) & greater(Y, X))) <=> ((~greater(X, Y)) | (~greater(Y, X)))))),
% 0.19/0.51 inference(bind,[status(th)],[])).
% 0.19/0.51 tff(137,plain,
% 0.19/0.51 (![X: $i, Y: $i] : (~(greater(X, Y) & greater(Y, X))) <=> ![X: $i, Y: $i] : ((~greater(X, Y)) | (~greater(Y, X)))),
% 0.19/0.51 inference(quant_intro,[status(thm)],[136])).
% 0.19/0.51 tff(138,plain,
% 0.19/0.51 (![X: $i, Y: $i] : (~(greater(X, Y) & greater(Y, X))) <=> ![X: $i, Y: $i] : (~(greater(X, Y) & greater(Y, X)))),
% 0.19/0.51 inference(rewrite,[status(thm)],[])).
% 0.19/0.51 tff(139,axiom,(![X: $i, Y: $i] : (~(greater(X, Y) & greater(Y, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','mp6_2')).
% 0.19/0.51 tff(140,plain,
% 0.19/0.51 (![X: $i, Y: $i] : (~(greater(X, Y) & greater(Y, X)))),
% 0.19/0.51 inference(modus_ponens,[status(thm)],[139, 138])).
% 0.19/0.51 tff(141,plain,(
% 0.19/0.51 ![X: $i, Y: $i] : (~(greater(X, Y) & greater(Y, X)))),
% 0.19/0.51 inference(skolemize,[status(sab)],[140])).
% 0.19/0.51 tff(142,plain,
% 0.19/0.51 (![X: $i, Y: $i] : ((~greater(X, Y)) | (~greater(Y, X)))),
% 0.19/0.51 inference(modus_ponens,[status(thm)],[141, 137])).
% 0.19/0.51 tff(143,plain,
% 0.19/0.51 (![X: $i, Y: $i] : ((~greater(X, Y)) | (~greater(Y, X)))),
% 0.19/0.51 inference(modus_ponens,[status(thm)],[142, 135])).
% 0.19/0.51 tff(144,plain,
% 0.19/0.51 (((~![X: $i, Y: $i] : ((~greater(X, Y)) | (~greater(Y, X)))) | ((~greater(tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))), tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (~greater(tptp_fun_T_3(tptp_fun_To_1(E!2)), tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))))) <=> ((~![X: $i, Y: $i] : ((~greater(X, Y)) | (~greater(Y, X)))) | (~greater(tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))), tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (~greater(tptp_fun_T_3(tptp_fun_To_1(E!2)), tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))))),
% 0.19/0.51 inference(rewrite,[status(thm)],[])).
% 0.19/0.51 tff(145,plain,
% 0.19/0.51 ((~![X: $i, Y: $i] : ((~greater(X, Y)) | (~greater(Y, X)))) | ((~greater(tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))), tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (~greater(tptp_fun_T_3(tptp_fun_To_1(E!2)), tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))))),
% 0.19/0.51 inference(quant_inst,[status(thm)],[])).
% 0.19/0.51 tff(146,plain,
% 0.19/0.51 ((~![X: $i, Y: $i] : ((~greater(X, Y)) | (~greater(Y, X)))) | (~greater(tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))), tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (~greater(tptp_fun_T_3(tptp_fun_To_1(E!2)), tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))),
% 0.19/0.51 inference(modus_ponens,[status(thm)],[145, 144])).
% 0.19/0.51 tff(147,plain,
% 0.19/0.51 (~greater(tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))), tptp_fun_T_3(tptp_fun_To_1(E!2)))),
% 0.19/0.51 inference(unit_resolution,[status(thm)],[146, 143, 133])).
% 0.19/0.51 tff(148,plain,
% 0.19/0.51 ((~![X: $i, Y: $i] : (greater_or_equal(X, Y) <=> ((X = Y) | greater(X, Y)))) | (greater_or_equal(tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))), tptp_fun_T_3(tptp_fun_To_1(E!2))) <=> ((tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))) = tptp_fun_T_3(tptp_fun_To_1(E!2))) | greater(tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))), tptp_fun_T_3(tptp_fun_To_1(E!2)))))),
% 0.19/0.51 inference(quant_inst,[status(thm)],[])).
% 0.19/0.51 tff(149,plain,
% 0.19/0.51 (greater_or_equal(tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))), tptp_fun_T_3(tptp_fun_To_1(E!2))) <=> ((tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))) = tptp_fun_T_3(tptp_fun_To_1(E!2))) | greater(tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))), tptp_fun_T_3(tptp_fun_To_1(E!2))))),
% 0.19/0.51 inference(unit_resolution,[status(thm)],[148, 13])).
% 0.19/0.51 tff(150,plain,
% 0.19/0.51 ((outcompetes(efficient_producers, first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))), tptp_fun_T_3(tptp_fun_To_1(E!2))))) | greater_or_equal(tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))), tptp_fun_T_3(tptp_fun_To_1(E!2)))),
% 0.19/0.51 inference(tautology,[status(thm)],[])).
% 0.19/0.51 tff(151,plain,
% 0.19/0.51 (greater_or_equal(tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))), tptp_fun_T_3(tptp_fun_To_1(E!2)))),
% 0.19/0.51 inference(unit_resolution,[status(thm)],[150, 100])).
% 0.19/0.51 tff(152,plain,
% 0.19/0.51 ((~(greater_or_equal(tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))), tptp_fun_T_3(tptp_fun_To_1(E!2))) <=> ((tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))) = tptp_fun_T_3(tptp_fun_To_1(E!2))) | greater(tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))), tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))), tptp_fun_T_3(tptp_fun_To_1(E!2)))) | ((tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))) = tptp_fun_T_3(tptp_fun_To_1(E!2))) | greater(tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))), tptp_fun_T_3(tptp_fun_To_1(E!2))))),
% 0.19/0.51 inference(tautology,[status(thm)],[])).
% 0.19/0.51 tff(153,plain,
% 0.19/0.51 ((~(greater_or_equal(tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))), tptp_fun_T_3(tptp_fun_To_1(E!2))) <=> ((tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))) = tptp_fun_T_3(tptp_fun_To_1(E!2))) | greater(tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))), tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | ((tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))) = tptp_fun_T_3(tptp_fun_To_1(E!2))) | greater(tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))), tptp_fun_T_3(tptp_fun_To_1(E!2))))),
% 0.19/0.51 inference(unit_resolution,[status(thm)],[152, 151])).
% 0.19/0.51 tff(154,plain,
% 0.19/0.51 ((tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))) = tptp_fun_T_3(tptp_fun_To_1(E!2))) | greater(tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))), tptp_fun_T_3(tptp_fun_To_1(E!2)))),
% 0.19/0.51 inference(unit_resolution,[status(thm)],[153, 149])).
% 0.19/0.51 tff(155,plain,
% 0.19/0.51 ((~((tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))) = tptp_fun_T_3(tptp_fun_To_1(E!2))) | greater(tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))), tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))) = tptp_fun_T_3(tptp_fun_To_1(E!2))) | greater(tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))), tptp_fun_T_3(tptp_fun_To_1(E!2)))),
% 0.19/0.51 inference(tautology,[status(thm)],[])).
% 0.19/0.51 tff(156,plain,
% 0.19/0.51 ((tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))) = tptp_fun_T_3(tptp_fun_To_1(E!2))) | greater(tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))), tptp_fun_T_3(tptp_fun_To_1(E!2)))),
% 0.19/0.51 inference(unit_resolution,[status(thm)],[155, 154])).
% 0.19/0.51 tff(157,plain,
% 0.19/0.51 (tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))) = tptp_fun_T_3(tptp_fun_To_1(E!2))),
% 0.19/0.51 inference(unit_resolution,[status(thm)],[156, 147])).
% 0.19/0.51 tff(158,plain,
% 0.19/0.51 (tptp_fun_T_3(tptp_fun_To_1(E!2)) = tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))),
% 0.19/0.51 inference(modus_ponens,[status(thm)],[157, 132])).
% 0.19/0.51 tff(159,plain,
% 0.19/0.51 (^[X: $i, Y: $i] : refl(((~greater(X, Y)) | (~(X = Y))) <=> ((~greater(X, Y)) | (~(X = Y))))),
% 0.19/0.51 inference(bind,[status(th)],[])).
% 0.19/0.51 tff(160,plain,
% 0.19/0.51 (![X: $i, Y: $i] : ((~greater(X, Y)) | (~(X = Y))) <=> ![X: $i, Y: $i] : ((~greater(X, Y)) | (~(X = Y)))),
% 0.19/0.51 inference(quant_intro,[status(thm)],[159])).
% 0.19/0.51 tff(161,plain,
% 0.19/0.51 (^[X: $i, Y: $i] : trans(monotonicity(rewrite((greater(X, Y) & (X = Y)) <=> (~((~greater(X, Y)) | (~(X = Y))))), ((~(greater(X, Y) & (X = Y))) <=> (~(~((~greater(X, Y)) | (~(X = Y))))))), rewrite((~(~((~greater(X, Y)) | (~(X = Y))))) <=> ((~greater(X, Y)) | (~(X = Y)))), ((~(greater(X, Y) & (X = Y))) <=> ((~greater(X, Y)) | (~(X = Y)))))),
% 0.19/0.51 inference(bind,[status(th)],[])).
% 0.19/0.51 tff(162,plain,
% 0.19/0.51 (![X: $i, Y: $i] : (~(greater(X, Y) & (X = Y))) <=> ![X: $i, Y: $i] : ((~greater(X, Y)) | (~(X = Y)))),
% 0.19/0.51 inference(quant_intro,[status(thm)],[161])).
% 0.19/0.51 tff(163,plain,
% 0.19/0.51 (![X: $i, Y: $i] : (~(greater(X, Y) & (X = Y))) <=> ![X: $i, Y: $i] : (~(greater(X, Y) & (X = Y)))),
% 0.19/0.51 inference(rewrite,[status(thm)],[])).
% 0.19/0.51 tff(164,axiom,(![X: $i, Y: $i] : (~(greater(X, Y) & (X = Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','mp6_1')).
% 0.19/0.51 tff(165,plain,
% 0.19/0.51 (![X: $i, Y: $i] : (~(greater(X, Y) & (X = Y)))),
% 0.19/0.51 inference(modus_ponens,[status(thm)],[164, 163])).
% 0.19/0.51 tff(166,plain,(
% 0.19/0.51 ![X: $i, Y: $i] : (~(greater(X, Y) & (X = Y)))),
% 0.19/0.51 inference(skolemize,[status(sab)],[165])).
% 0.19/0.51 tff(167,plain,
% 0.19/0.51 (![X: $i, Y: $i] : ((~greater(X, Y)) | (~(X = Y)))),
% 0.19/0.51 inference(modus_ponens,[status(thm)],[166, 162])).
% 0.19/0.51 tff(168,plain,
% 0.19/0.51 (![X: $i, Y: $i] : ((~greater(X, Y)) | (~(X = Y)))),
% 0.19/0.51 inference(modus_ponens,[status(thm)],[167, 160])).
% 0.19/0.51 tff(169,plain,
% 0.19/0.51 (((~![X: $i, Y: $i] : ((~greater(X, Y)) | (~(X = Y)))) | ((~(tptp_fun_T_3(tptp_fun_To_1(E!2)) = tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~greater(tptp_fun_T_3(tptp_fun_To_1(E!2)), tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))))) <=> ((~![X: $i, Y: $i] : ((~greater(X, Y)) | (~(X = Y)))) | (~(tptp_fun_T_3(tptp_fun_To_1(E!2)) = tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~greater(tptp_fun_T_3(tptp_fun_To_1(E!2)), tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))))),
% 0.19/0.51 inference(rewrite,[status(thm)],[])).
% 0.19/0.51 tff(170,plain,
% 0.19/0.51 (((~greater(tptp_fun_T_3(tptp_fun_To_1(E!2)), tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~(tptp_fun_T_3(tptp_fun_To_1(E!2)) = tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) <=> ((~(tptp_fun_T_3(tptp_fun_To_1(E!2)) = tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~greater(tptp_fun_T_3(tptp_fun_To_1(E!2)), tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))))),
% 0.19/0.51 inference(rewrite,[status(thm)],[])).
% 0.19/0.51 tff(171,plain,
% 0.19/0.51 (((~![X: $i, Y: $i] : ((~greater(X, Y)) | (~(X = Y)))) | ((~greater(tptp_fun_T_3(tptp_fun_To_1(E!2)), tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~(tptp_fun_T_3(tptp_fun_To_1(E!2)) = tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))))) <=> ((~![X: $i, Y: $i] : ((~greater(X, Y)) | (~(X = Y)))) | ((~(tptp_fun_T_3(tptp_fun_To_1(E!2)) = tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~greater(tptp_fun_T_3(tptp_fun_To_1(E!2)), tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))))),
% 0.19/0.51 inference(monotonicity,[status(thm)],[170])).
% 0.19/0.51 tff(172,plain,
% 0.19/0.51 (((~![X: $i, Y: $i] : ((~greater(X, Y)) | (~(X = Y)))) | ((~greater(tptp_fun_T_3(tptp_fun_To_1(E!2)), tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~(tptp_fun_T_3(tptp_fun_To_1(E!2)) = tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))))) <=> ((~![X: $i, Y: $i] : ((~greater(X, Y)) | (~(X = Y)))) | (~(tptp_fun_T_3(tptp_fun_To_1(E!2)) = tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~greater(tptp_fun_T_3(tptp_fun_To_1(E!2)), tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))))),
% 0.19/0.51 inference(transitivity,[status(thm)],[171, 169])).
% 0.19/0.51 tff(173,plain,
% 0.19/0.51 ((~![X: $i, Y: $i] : ((~greater(X, Y)) | (~(X = Y)))) | ((~greater(tptp_fun_T_3(tptp_fun_To_1(E!2)), tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~(tptp_fun_T_3(tptp_fun_To_1(E!2)) = tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))))),
% 0.19/0.51 inference(quant_inst,[status(thm)],[])).
% 0.19/0.51 tff(174,plain,
% 0.19/0.51 ((~![X: $i, Y: $i] : ((~greater(X, Y)) | (~(X = Y)))) | (~(tptp_fun_T_3(tptp_fun_To_1(E!2)) = tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~greater(tptp_fun_T_3(tptp_fun_To_1(E!2)), tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))),
% 0.19/0.51 inference(modus_ponens,[status(thm)],[173, 172])).
% 0.19/0.51 tff(175,plain,
% 0.19/0.51 (~(tptp_fun_T_3(tptp_fun_To_1(E!2)) = tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))),
% 0.19/0.51 inference(unit_resolution,[status(thm)],[174, 168, 133])).
% 0.19/0.51 tff(176,plain,
% 0.19/0.51 ($false),
% 0.19/0.51 inference(unit_resolution,[status(thm)],[175, 158])).
% 0.19/0.51 tff(177,plain,(~greater(tptp_fun_T_3(tptp_fun_To_1(E!2)), tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))), inference(lemma,lemma(discharge,[]))).
% 0.19/0.51 tff(178,assumption,(tptp_fun_T_3(tptp_fun_To_1(E!2)) = tptp_fun_To_1(E!2)), introduced(assumption)).
% 0.19/0.51 tff(179,plain,
% 0.19/0.51 (tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))) = tptp_fun_T_3(tptp_fun_To_1(E!2))),
% 0.19/0.51 inference(monotonicity,[status(thm)],[178])).
% 0.19/0.51 tff(180,plain,
% 0.19/0.51 (tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))) = tptp_fun_To_1(E!2)),
% 0.19/0.51 inference(transitivity,[status(thm)],[179, 178])).
% 0.19/0.51 tff(181,assumption,(~(tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))) = tptp_fun_To_1(E!2))), introduced(assumption)).
% 0.19/0.51 tff(182,plain,
% 0.19/0.51 ($false),
% 0.19/0.51 inference(unit_resolution,[status(thm)],[181, 180])).
% 0.19/0.51 tff(183,plain,((~(tptp_fun_T_3(tptp_fun_To_1(E!2)) = tptp_fun_To_1(E!2))) | (tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))) = tptp_fun_To_1(E!2))), inference(lemma,lemma(discharge,[]))).
% 0.19/0.51 tff(184,plain,
% 0.19/0.51 (~(tptp_fun_T_3(tptp_fun_To_1(E!2)) = tptp_fun_To_1(E!2))),
% 0.19/0.51 inference(unit_resolution,[status(thm)],[183, 21])).
% 0.19/0.51 tff(185,plain,
% 0.19/0.51 ((~![X: $i, Y: $i] : (greater_or_equal(X, Y) <=> ((X = Y) | greater(X, Y)))) | (greater_or_equal(tptp_fun_T_3(tptp_fun_To_1(E!2)), tptp_fun_To_1(E!2)) <=> ((tptp_fun_T_3(tptp_fun_To_1(E!2)) = tptp_fun_To_1(E!2)) | greater(tptp_fun_T_3(tptp_fun_To_1(E!2)), tptp_fun_To_1(E!2))))),
% 0.19/0.51 inference(quant_inst,[status(thm)],[])).
% 0.19/0.51 tff(186,plain,
% 0.19/0.51 (greater_or_equal(tptp_fun_T_3(tptp_fun_To_1(E!2)), tptp_fun_To_1(E!2)) <=> ((tptp_fun_T_3(tptp_fun_To_1(E!2)) = tptp_fun_To_1(E!2)) | greater(tptp_fun_T_3(tptp_fun_To_1(E!2)), tptp_fun_To_1(E!2)))),
% 0.19/0.51 inference(unit_resolution,[status(thm)],[185, 13])).
% 0.19/0.51 tff(187,plain,
% 0.19/0.51 ((outcompetes(efficient_producers, first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_To_1(E!2)), tptp_fun_To_1(E!2)))) | greater_or_equal(tptp_fun_T_3(tptp_fun_To_1(E!2)), tptp_fun_To_1(E!2))),
% 0.19/0.52 inference(tautology,[status(thm)],[])).
% 0.19/0.52 tff(188,plain,
% 0.19/0.52 (greater_or_equal(tptp_fun_T_3(tptp_fun_To_1(E!2)), tptp_fun_To_1(E!2))),
% 0.19/0.52 inference(unit_resolution,[status(thm)],[187, 74])).
% 0.19/0.52 tff(189,plain,
% 0.19/0.52 ((~(greater_or_equal(tptp_fun_T_3(tptp_fun_To_1(E!2)), tptp_fun_To_1(E!2)) <=> ((tptp_fun_T_3(tptp_fun_To_1(E!2)) = tptp_fun_To_1(E!2)) | greater(tptp_fun_T_3(tptp_fun_To_1(E!2)), tptp_fun_To_1(E!2))))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_To_1(E!2)), tptp_fun_To_1(E!2))) | ((tptp_fun_T_3(tptp_fun_To_1(E!2)) = tptp_fun_To_1(E!2)) | greater(tptp_fun_T_3(tptp_fun_To_1(E!2)), tptp_fun_To_1(E!2)))),
% 0.19/0.52 inference(tautology,[status(thm)],[])).
% 0.19/0.52 tff(190,plain,
% 0.19/0.52 ((~(greater_or_equal(tptp_fun_T_3(tptp_fun_To_1(E!2)), tptp_fun_To_1(E!2)) <=> ((tptp_fun_T_3(tptp_fun_To_1(E!2)) = tptp_fun_To_1(E!2)) | greater(tptp_fun_T_3(tptp_fun_To_1(E!2)), tptp_fun_To_1(E!2))))) | ((tptp_fun_T_3(tptp_fun_To_1(E!2)) = tptp_fun_To_1(E!2)) | greater(tptp_fun_T_3(tptp_fun_To_1(E!2)), tptp_fun_To_1(E!2)))),
% 0.19/0.52 inference(unit_resolution,[status(thm)],[189, 188])).
% 0.19/0.52 tff(191,plain,
% 0.19/0.52 ((tptp_fun_T_3(tptp_fun_To_1(E!2)) = tptp_fun_To_1(E!2)) | greater(tptp_fun_T_3(tptp_fun_To_1(E!2)), tptp_fun_To_1(E!2))),
% 0.19/0.52 inference(unit_resolution,[status(thm)],[190, 186])).
% 0.19/0.52 tff(192,plain,
% 0.19/0.52 ((~((tptp_fun_T_3(tptp_fun_To_1(E!2)) = tptp_fun_To_1(E!2)) | greater(tptp_fun_T_3(tptp_fun_To_1(E!2)), tptp_fun_To_1(E!2)))) | (tptp_fun_T_3(tptp_fun_To_1(E!2)) = tptp_fun_To_1(E!2)) | greater(tptp_fun_T_3(tptp_fun_To_1(E!2)), tptp_fun_To_1(E!2))),
% 0.19/0.52 inference(tautology,[status(thm)],[])).
% 0.19/0.52 tff(193,plain,
% 0.19/0.52 ((tptp_fun_T_3(tptp_fun_To_1(E!2)) = tptp_fun_To_1(E!2)) | greater(tptp_fun_T_3(tptp_fun_To_1(E!2)), tptp_fun_To_1(E!2))),
% 0.19/0.52 inference(unit_resolution,[status(thm)],[192, 191])).
% 0.19/0.52 tff(194,plain,
% 0.19/0.52 (greater(tptp_fun_T_3(tptp_fun_To_1(E!2)), tptp_fun_To_1(E!2))),
% 0.19/0.52 inference(unit_resolution,[status(thm)],[193, 184])).
% 0.19/0.52 tff(195,plain,
% 0.19/0.52 (![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y))) <=> ![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))),
% 0.19/0.52 inference(rewrite,[status(thm)],[])).
% 0.19/0.52 tff(196,plain,
% 0.19/0.52 (^[X: $i, Y: $i, Z: $i] : trans(monotonicity(trans(monotonicity(rewrite((greater(X, Y) & greater(Y, Z)) <=> (~((~greater(Y, Z)) | (~greater(X, Y))))), ((~(greater(X, Y) & greater(Y, Z))) <=> (~(~((~greater(Y, Z)) | (~greater(X, Y))))))), rewrite((~(~((~greater(Y, Z)) | (~greater(X, Y))))) <=> ((~greater(Y, Z)) | (~greater(X, Y)))), ((~(greater(X, Y) & greater(Y, Z))) <=> ((~greater(Y, Z)) | (~greater(X, Y))))), (((~(greater(X, Y) & greater(Y, Z))) | greater(X, Z)) <=> (((~greater(Y, Z)) | (~greater(X, Y))) | greater(X, Z)))), rewrite((((~greater(Y, Z)) | (~greater(X, Y))) | greater(X, Z)) <=> (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))), (((~(greater(X, Y) & greater(Y, Z))) | greater(X, Z)) <=> (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))))),
% 0.19/0.52 inference(bind,[status(th)],[])).
% 0.19/0.52 tff(197,plain,
% 0.19/0.52 (![X: $i, Y: $i, Z: $i] : ((~(greater(X, Y) & greater(Y, Z))) | greater(X, Z)) <=> ![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))),
% 0.19/0.52 inference(quant_intro,[status(thm)],[196])).
% 0.19/0.52 tff(198,plain,
% 0.19/0.52 (![X: $i, Y: $i, Z: $i] : ((~(greater(X, Y) & greater(Y, Z))) | greater(X, Z)) <=> ![X: $i, Y: $i, Z: $i] : ((~(greater(X, Y) & greater(Y, Z))) | greater(X, Z))),
% 0.19/0.52 inference(rewrite,[status(thm)],[])).
% 0.19/0.52 tff(199,plain,
% 0.19/0.52 (^[X: $i, Y: $i, Z: $i] : rewrite(((greater(X, Y) & greater(Y, Z)) => greater(X, Z)) <=> ((~(greater(X, Y) & greater(Y, Z))) | greater(X, Z)))),
% 0.19/0.52 inference(bind,[status(th)],[])).
% 0.19/0.52 tff(200,plain,
% 0.19/0.52 (![X: $i, Y: $i, Z: $i] : ((greater(X, Y) & greater(Y, Z)) => greater(X, Z)) <=> ![X: $i, Y: $i, Z: $i] : ((~(greater(X, Y) & greater(Y, Z))) | greater(X, Z))),
% 0.19/0.52 inference(quant_intro,[status(thm)],[199])).
% 0.19/0.52 tff(201,axiom,(![X: $i, Y: $i, Z: $i] : ((greater(X, Y) & greater(Y, Z)) => greater(X, Z))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','mp_greater_transitivity')).
% 0.19/0.52 tff(202,plain,
% 0.19/0.52 (![X: $i, Y: $i, Z: $i] : ((~(greater(X, Y) & greater(Y, Z))) | greater(X, Z))),
% 0.19/0.52 inference(modus_ponens,[status(thm)],[201, 200])).
% 0.19/0.52 tff(203,plain,
% 0.19/0.52 (![X: $i, Y: $i, Z: $i] : ((~(greater(X, Y) & greater(Y, Z))) | greater(X, Z))),
% 0.19/0.52 inference(modus_ponens,[status(thm)],[202, 198])).
% 0.19/0.52 tff(204,plain,(
% 0.19/0.52 ![X: $i, Y: $i, Z: $i] : ((~(greater(X, Y) & greater(Y, Z))) | greater(X, Z))),
% 0.19/0.52 inference(skolemize,[status(sab)],[203])).
% 0.19/0.52 tff(205,plain,
% 0.19/0.52 (![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))),
% 0.19/0.52 inference(modus_ponens,[status(thm)],[204, 197])).
% 0.19/0.52 tff(206,plain,
% 0.19/0.52 (![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))),
% 0.19/0.52 inference(modus_ponens,[status(thm)],[205, 195])).
% 0.19/0.52 tff(207,plain,
% 0.19/0.52 (((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | ((~greater(tptp_fun_T_3(tptp_fun_To_1(E!2)), tptp_fun_To_1(E!2))) | (~greater(tptp_fun_To_1(E!2), tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | greater(tptp_fun_T_3(tptp_fun_To_1(E!2)), tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) <=> ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (~greater(tptp_fun_T_3(tptp_fun_To_1(E!2)), tptp_fun_To_1(E!2))) | (~greater(tptp_fun_To_1(E!2), tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | greater(tptp_fun_T_3(tptp_fun_To_1(E!2)), tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))),
% 0.19/0.52 inference(rewrite,[status(thm)],[])).
% 0.19/0.52 tff(208,plain,
% 0.19/0.52 ((greater(tptp_fun_T_3(tptp_fun_To_1(E!2)), tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (~greater(tptp_fun_To_1(E!2), tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~greater(tptp_fun_T_3(tptp_fun_To_1(E!2)), tptp_fun_To_1(E!2)))) <=> ((~greater(tptp_fun_T_3(tptp_fun_To_1(E!2)), tptp_fun_To_1(E!2))) | (~greater(tptp_fun_To_1(E!2), tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | greater(tptp_fun_T_3(tptp_fun_To_1(E!2)), tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))),
% 0.19/0.52 inference(rewrite,[status(thm)],[])).
% 0.19/0.52 tff(209,plain,
% 0.19/0.52 (((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (greater(tptp_fun_T_3(tptp_fun_To_1(E!2)), tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (~greater(tptp_fun_To_1(E!2), tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~greater(tptp_fun_T_3(tptp_fun_To_1(E!2)), tptp_fun_To_1(E!2))))) <=> ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | ((~greater(tptp_fun_T_3(tptp_fun_To_1(E!2)), tptp_fun_To_1(E!2))) | (~greater(tptp_fun_To_1(E!2), tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | greater(tptp_fun_T_3(tptp_fun_To_1(E!2)), tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))))),
% 0.19/0.52 inference(monotonicity,[status(thm)],[208])).
% 0.19/0.52 tff(210,plain,
% 0.19/0.52 (((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (greater(tptp_fun_T_3(tptp_fun_To_1(E!2)), tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (~greater(tptp_fun_To_1(E!2), tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~greater(tptp_fun_T_3(tptp_fun_To_1(E!2)), tptp_fun_To_1(E!2))))) <=> ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (~greater(tptp_fun_T_3(tptp_fun_To_1(E!2)), tptp_fun_To_1(E!2))) | (~greater(tptp_fun_To_1(E!2), tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | greater(tptp_fun_T_3(tptp_fun_To_1(E!2)), tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))),
% 0.19/0.52 inference(transitivity,[status(thm)],[209, 207])).
% 0.19/0.52 tff(211,plain,
% 0.19/0.52 ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (greater(tptp_fun_T_3(tptp_fun_To_1(E!2)), tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (~greater(tptp_fun_To_1(E!2), tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~greater(tptp_fun_T_3(tptp_fun_To_1(E!2)), tptp_fun_To_1(E!2))))),
% 0.19/0.52 inference(quant_inst,[status(thm)],[])).
% 0.19/0.52 tff(212,plain,
% 0.19/0.52 ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (~greater(tptp_fun_T_3(tptp_fun_To_1(E!2)), tptp_fun_To_1(E!2))) | (~greater(tptp_fun_To_1(E!2), tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | greater(tptp_fun_T_3(tptp_fun_To_1(E!2)), tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))),
% 0.19/0.52 inference(modus_ponens,[status(thm)],[211, 210])).
% 0.19/0.52 tff(213,plain,
% 0.19/0.52 ($false),
% 0.19/0.52 inference(unit_resolution,[status(thm)],[212, 206, 194, 177, 130])).
% 0.19/0.52 tff(214,plain,((tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))) = tptp_fun_To_1(E!2)) | greater(tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))), tptp_fun_To_1(E!2))), inference(lemma,lemma(discharge,[]))).
% 0.19/0.52 tff(215,assumption,(tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))) = tptp_fun_To_1(E!2)), introduced(assumption)).
% 0.19/0.52 tff(216,plain,
% 0.19/0.52 (tptp_fun_To_1(E!2) = tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))),
% 0.19/0.52 inference(symmetry,[status(thm)],[215])).
% 0.19/0.52 tff(217,plain,
% 0.19/0.52 (greater(tptp_fun_To_1(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2))) <=> greater(tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))), tptp_fun_T_3(tptp_fun_T_0(E!2)))),
% 0.19/0.52 inference(monotonicity,[status(thm)],[216])).
% 0.19/0.52 tff(218,plain,
% 0.19/0.52 (greater(tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))), tptp_fun_T_3(tptp_fun_T_0(E!2))) <=> greater(tptp_fun_To_1(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2)))),
% 0.19/0.52 inference(symmetry,[status(thm)],[217])).
% 0.19/0.52 tff(219,plain,
% 0.19/0.52 ((~greater(tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))), tptp_fun_T_3(tptp_fun_T_0(E!2)))) <=> (~greater(tptp_fun_To_1(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2))))),
% 0.19/0.52 inference(monotonicity,[status(thm)],[218])).
% 0.19/0.52 tff(220,assumption,(~(greater_or_equal(tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))), tptp_fun_To_1(E!2)) <=> ((tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))) = tptp_fun_To_1(E!2)) | greater(tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))), tptp_fun_To_1(E!2))))), introduced(assumption)).
% 0.19/0.52 tff(221,plain,
% 0.19/0.52 ((~![X: $i, Y: $i] : (greater_or_equal(X, Y) <=> ((X = Y) | greater(X, Y)))) | (greater_or_equal(tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))), tptp_fun_To_1(E!2)) <=> ((tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))) = tptp_fun_To_1(E!2)) | greater(tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))), tptp_fun_To_1(E!2))))),
% 0.19/0.52 inference(quant_inst,[status(thm)],[])).
% 0.19/0.52 tff(222,plain,
% 0.19/0.52 ($false),
% 0.19/0.52 inference(unit_resolution,[status(thm)],[221, 13, 220])).
% 0.19/0.52 tff(223,plain,(greater_or_equal(tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))), tptp_fun_To_1(E!2)) <=> ((tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))) = tptp_fun_To_1(E!2)) | greater(tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))), tptp_fun_To_1(E!2)))), inference(lemma,lemma(discharge,[]))).
% 0.19/0.52 tff(224,plain,
% 0.19/0.52 ((~(greater_or_equal(tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))), tptp_fun_To_1(E!2)) <=> ((tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))) = tptp_fun_To_1(E!2)) | greater(tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))), tptp_fun_To_1(E!2))))) | greater_or_equal(tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))), tptp_fun_To_1(E!2)) | (~((tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))) = tptp_fun_To_1(E!2)) | greater(tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))), tptp_fun_To_1(E!2))))),
% 0.19/0.52 inference(tautology,[status(thm)],[])).
% 0.19/0.52 tff(225,plain,
% 0.19/0.52 ((~(greater_or_equal(tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))), tptp_fun_To_1(E!2)) <=> ((tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))) = tptp_fun_To_1(E!2)) | greater(tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))), tptp_fun_To_1(E!2))))) | greater_or_equal(tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))), tptp_fun_To_1(E!2))),
% 0.19/0.52 inference(unit_resolution,[status(thm)],[224, 214])).
% 0.19/0.52 tff(226,plain,
% 0.19/0.52 (greater_or_equal(tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))), tptp_fun_To_1(E!2))),
% 0.19/0.52 inference(unit_resolution,[status(thm)],[225, 223])).
% 0.19/0.52 tff(227,plain,
% 0.19/0.52 (((~in_environment(E!2, tptp_fun_To_1(E!2))) | (~![T: $i] : (greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T)) | (~subpopulations(first_movers, efficient_producers, E!2, T)) | (~greater_or_equal(T, tptp_fun_To_1(E!2)))))) | ![T: $i] : (greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T)) | (~subpopulations(first_movers, efficient_producers, E!2, T)) | (~greater_or_equal(T, tptp_fun_To_1(E!2))))),
% 0.19/0.52 inference(tautology,[status(thm)],[])).
% 0.19/0.52 tff(228,plain,
% 0.19/0.52 (![T: $i] : (greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T)) | (~subpopulations(first_movers, efficient_producers, E!2, T)) | (~greater_or_equal(T, tptp_fun_To_1(E!2))))),
% 0.19/0.52 inference(unit_resolution,[status(thm)],[227, 61])).
% 0.19/0.52 tff(229,plain,
% 0.19/0.52 (((~![T: $i] : (greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T)) | (~subpopulations(first_movers, efficient_producers, E!2, T)) | (~greater_or_equal(T, tptp_fun_To_1(E!2))))) | ((~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))), tptp_fun_To_1(E!2))))) <=> ((~![T: $i] : (greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T)) | (~subpopulations(first_movers, efficient_producers, E!2, T)) | (~greater_or_equal(T, tptp_fun_To_1(E!2))))) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))), tptp_fun_To_1(E!2))))),
% 0.19/0.52 inference(rewrite,[status(thm)],[])).
% 0.19/0.52 tff(230,plain,
% 0.19/0.52 ((greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))), tptp_fun_To_1(E!2)))) <=> ((~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))), tptp_fun_To_1(E!2))))),
% 0.19/0.52 inference(rewrite,[status(thm)],[])).
% 0.19/0.52 tff(231,plain,
% 0.19/0.52 (((~![T: $i] : (greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T)) | (~subpopulations(first_movers, efficient_producers, E!2, T)) | (~greater_or_equal(T, tptp_fun_To_1(E!2))))) | (greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))), tptp_fun_To_1(E!2))))) <=> ((~![T: $i] : (greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T)) | (~subpopulations(first_movers, efficient_producers, E!2, T)) | (~greater_or_equal(T, tptp_fun_To_1(E!2))))) | ((~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))), tptp_fun_To_1(E!2)))))),
% 0.19/0.52 inference(monotonicity,[status(thm)],[230])).
% 0.19/0.52 tff(232,plain,
% 0.19/0.52 (((~![T: $i] : (greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T)) | (~subpopulations(first_movers, efficient_producers, E!2, T)) | (~greater_or_equal(T, tptp_fun_To_1(E!2))))) | (greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))), tptp_fun_To_1(E!2))))) <=> ((~![T: $i] : (greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T)) | (~subpopulations(first_movers, efficient_producers, E!2, T)) | (~greater_or_equal(T, tptp_fun_To_1(E!2))))) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))), tptp_fun_To_1(E!2))))),
% 0.19/0.53 inference(transitivity,[status(thm)],[231, 229])).
% 0.19/0.53 tff(233,plain,
% 0.19/0.53 ((~![T: $i] : (greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T)) | (~subpopulations(first_movers, efficient_producers, E!2, T)) | (~greater_or_equal(T, tptp_fun_To_1(E!2))))) | (greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))), tptp_fun_To_1(E!2))))),
% 0.19/0.53 inference(quant_inst,[status(thm)],[])).
% 0.19/0.53 tff(234,plain,
% 0.19/0.53 ((~![T: $i] : (greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T)) | (~subpopulations(first_movers, efficient_producers, E!2, T)) | (~greater_or_equal(T, tptp_fun_To_1(E!2))))) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))), tptp_fun_To_1(E!2)))),
% 0.19/0.53 inference(modus_ponens,[status(thm)],[233, 232])).
% 0.19/0.53 tff(235,plain,
% 0.19/0.53 (greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))), tptp_fun_To_1(E!2)))),
% 0.19/0.53 inference(unit_resolution,[status(thm)],[234, 228, 102])).
% 0.19/0.53 tff(236,plain,
% 0.19/0.53 (greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))),
% 0.19/0.53 inference(unit_resolution,[status(thm)],[235, 226])).
% 0.19/0.53 tff(237,plain,
% 0.19/0.53 (((~![X: $i, Y: $i] : ((~greater(X, Y)) | (~greater(Y, X)))) | ((~greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (~greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))))) <=> ((~![X: $i, Y: $i] : ((~greater(X, Y)) | (~greater(Y, X)))) | (~greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (~greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))))),
% 0.19/0.53 inference(rewrite,[status(thm)],[])).
% 0.19/0.53 tff(238,plain,
% 0.19/0.53 (((~greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (~greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))))) <=> ((~greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (~greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))))),
% 0.19/0.53 inference(rewrite,[status(thm)],[])).
% 0.19/0.53 tff(239,plain,
% 0.19/0.53 (((~![X: $i, Y: $i] : ((~greater(X, Y)) | (~greater(Y, X)))) | ((~greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (~greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))))) <=> ((~![X: $i, Y: $i] : ((~greater(X, Y)) | (~greater(Y, X)))) | ((~greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (~greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))))))),
% 0.19/0.53 inference(monotonicity,[status(thm)],[238])).
% 0.19/0.53 tff(240,plain,
% 0.19/0.53 (((~![X: $i, Y: $i] : ((~greater(X, Y)) | (~greater(Y, X)))) | ((~greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (~greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))))) <=> ((~![X: $i, Y: $i] : ((~greater(X, Y)) | (~greater(Y, X)))) | (~greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (~greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))))),
% 0.19/0.53 inference(transitivity,[status(thm)],[239, 237])).
% 0.19/0.53 tff(241,plain,
% 0.19/0.53 ((~![X: $i, Y: $i] : ((~greater(X, Y)) | (~greater(Y, X)))) | ((~greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (~greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))))),
% 0.19/0.53 inference(quant_inst,[status(thm)],[])).
% 0.19/0.53 tff(242,plain,
% 0.19/0.53 ((~![X: $i, Y: $i] : ((~greater(X, Y)) | (~greater(Y, X)))) | (~greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (~greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))))),
% 0.19/0.53 inference(modus_ponens,[status(thm)],[241, 240])).
% 0.19/0.53 tff(243,plain,
% 0.19/0.53 (~greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))),
% 0.19/0.53 inference(unit_resolution,[status(thm)],[242, 143, 236])).
% 0.19/0.53 tff(244,assumption,(~greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))), introduced(assumption)).
% 0.19/0.53 tff(245,assumption,(~((~decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (~increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))))), introduced(assumption)).
% 0.19/0.53 tff(246,plain,
% 0.19/0.53 (((~decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (~increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))))) | increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))),
% 0.19/0.53 inference(tautology,[status(thm)],[])).
% 0.19/0.53 tff(247,plain,
% 0.19/0.53 (increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))),
% 0.19/0.53 inference(unit_resolution,[status(thm)],[246, 245])).
% 0.19/0.53 tff(248,plain,
% 0.19/0.53 (^[E: $i, T: $i] : refl(((~environment(E)) | (~in_environment(E, T)) | (~((~subpopulation(first_movers, E, T)) | (~subpopulation(efficient_producers, E, T))))) <=> ((~environment(E)) | (~in_environment(E, T)) | (~((~subpopulation(first_movers, E, T)) | (~subpopulation(efficient_producers, E, T))))))),
% 0.19/0.53 inference(bind,[status(th)],[])).
% 0.19/0.53 tff(249,plain,
% 0.19/0.53 (![E: $i, T: $i] : ((~environment(E)) | (~in_environment(E, T)) | (~((~subpopulation(first_movers, E, T)) | (~subpopulation(efficient_producers, E, T))))) <=> ![E: $i, T: $i] : ((~environment(E)) | (~in_environment(E, T)) | (~((~subpopulation(first_movers, E, T)) | (~subpopulation(efficient_producers, E, T)))))),
% 0.19/0.53 inference(quant_intro,[status(thm)],[248])).
% 0.19/0.53 tff(250,plain,
% 0.19/0.53 (^[E: $i, T: $i] : trans(monotonicity(trans(monotonicity(rewrite((environment(E) & in_environment(E, T)) <=> (~((~environment(E)) | (~in_environment(E, T))))), ((~(environment(E) & in_environment(E, T))) <=> (~(~((~environment(E)) | (~in_environment(E, T))))))), rewrite((~(~((~environment(E)) | (~in_environment(E, T))))) <=> ((~environment(E)) | (~in_environment(E, T)))), ((~(environment(E) & in_environment(E, T))) <=> ((~environment(E)) | (~in_environment(E, T))))), rewrite((subpopulation(first_movers, E, T) & subpopulation(efficient_producers, E, T)) <=> (~((~subpopulation(first_movers, E, T)) | (~subpopulation(efficient_producers, E, T))))), (((~(environment(E) & in_environment(E, T))) | (subpopulation(first_movers, E, T) & subpopulation(efficient_producers, E, T))) <=> (((~environment(E)) | (~in_environment(E, T))) | (~((~subpopulation(first_movers, E, T)) | (~subpopulation(efficient_producers, E, T))))))), rewrite((((~environment(E)) | (~in_environment(E, T))) | (~((~subpopulation(first_movers, E, T)) | (~subpopulation(efficient_producers, E, T))))) <=> ((~environment(E)) | (~in_environment(E, T)) | (~((~subpopulation(first_movers, E, T)) | (~subpopulation(efficient_producers, E, T)))))), (((~(environment(E) & in_environment(E, T))) | (subpopulation(first_movers, E, T) & subpopulation(efficient_producers, E, T))) <=> ((~environment(E)) | (~in_environment(E, T)) | (~((~subpopulation(first_movers, E, T)) | (~subpopulation(efficient_producers, E, T)))))))),
% 0.19/0.53 inference(bind,[status(th)],[])).
% 0.19/0.53 tff(251,plain,
% 0.19/0.53 (![E: $i, T: $i] : ((~(environment(E) & in_environment(E, T))) | (subpopulation(first_movers, E, T) & subpopulation(efficient_producers, E, T))) <=> ![E: $i, T: $i] : ((~environment(E)) | (~in_environment(E, T)) | (~((~subpopulation(first_movers, E, T)) | (~subpopulation(efficient_producers, E, T)))))),
% 0.19/0.53 inference(quant_intro,[status(thm)],[250])).
% 0.19/0.53 tff(252,plain,
% 0.19/0.53 (![E: $i, T: $i] : ((~(environment(E) & in_environment(E, T))) | (subpopulation(first_movers, E, T) & subpopulation(efficient_producers, E, T))) <=> ![E: $i, T: $i] : ((~(environment(E) & in_environment(E, T))) | (subpopulation(first_movers, E, T) & subpopulation(efficient_producers, E, T)))),
% 0.19/0.53 inference(rewrite,[status(thm)],[])).
% 0.19/0.53 tff(253,plain,
% 0.19/0.53 (^[E: $i, T: $i] : rewrite(((environment(E) & in_environment(E, T)) => (subpopulation(first_movers, E, T) & subpopulation(efficient_producers, E, T))) <=> ((~(environment(E) & in_environment(E, T))) | (subpopulation(first_movers, E, T) & subpopulation(efficient_producers, E, T))))),
% 0.19/0.53 inference(bind,[status(th)],[])).
% 0.19/0.53 tff(254,plain,
% 0.19/0.53 (![E: $i, T: $i] : ((environment(E) & in_environment(E, T)) => (subpopulation(first_movers, E, T) & subpopulation(efficient_producers, E, T))) <=> ![E: $i, T: $i] : ((~(environment(E) & in_environment(E, T))) | (subpopulation(first_movers, E, T) & subpopulation(efficient_producers, E, T)))),
% 0.19/0.53 inference(quant_intro,[status(thm)],[253])).
% 0.19/0.53 tff(255,axiom,(![E: $i, T: $i] : ((environment(E) & in_environment(E, T)) => (subpopulation(first_movers, E, T) & subpopulation(efficient_producers, E, T)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','mp_FM_and_EP_organisational')).
% 0.19/0.53 tff(256,plain,
% 0.19/0.53 (![E: $i, T: $i] : ((~(environment(E) & in_environment(E, T))) | (subpopulation(first_movers, E, T) & subpopulation(efficient_producers, E, T)))),
% 0.19/0.53 inference(modus_ponens,[status(thm)],[255, 254])).
% 0.19/0.53 tff(257,plain,
% 0.19/0.53 (![E: $i, T: $i] : ((~(environment(E) & in_environment(E, T))) | (subpopulation(first_movers, E, T) & subpopulation(efficient_producers, E, T)))),
% 0.19/0.53 inference(modus_ponens,[status(thm)],[256, 252])).
% 0.19/0.53 tff(258,plain,(
% 0.19/0.53 ![E: $i, T: $i] : ((~(environment(E) & in_environment(E, T))) | (subpopulation(first_movers, E, T) & subpopulation(efficient_producers, E, T)))),
% 0.19/0.53 inference(skolemize,[status(sab)],[257])).
% 0.19/0.53 tff(259,plain,
% 0.19/0.53 (![E: $i, T: $i] : ((~environment(E)) | (~in_environment(E, T)) | (~((~subpopulation(first_movers, E, T)) | (~subpopulation(efficient_producers, E, T)))))),
% 0.19/0.53 inference(modus_ponens,[status(thm)],[258, 251])).
% 0.19/0.53 tff(260,plain,
% 0.19/0.53 (![E: $i, T: $i] : ((~environment(E)) | (~in_environment(E, T)) | (~((~subpopulation(first_movers, E, T)) | (~subpopulation(efficient_producers, E, T)))))),
% 0.19/0.53 inference(modus_ponens,[status(thm)],[259, 249])).
% 0.19/0.53 tff(261,plain,
% 0.19/0.53 (((~![E: $i, T: $i] : ((~environment(E)) | (~in_environment(E, T)) | (~((~subpopulation(first_movers, E, T)) | (~subpopulation(efficient_producers, E, T)))))) | ((~environment(E!2)) | (~in_environment(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~((~subpopulation(first_movers, E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~subpopulation(efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))))))) <=> ((~![E: $i, T: $i] : ((~environment(E)) | (~in_environment(E, T)) | (~((~subpopulation(first_movers, E, T)) | (~subpopulation(efficient_producers, E, T)))))) | (~environment(E!2)) | (~in_environment(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~((~subpopulation(first_movers, E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~subpopulation(efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))))))),
% 0.19/0.53 inference(rewrite,[status(thm)],[])).
% 0.19/0.53 tff(262,plain,
% 0.19/0.53 ((~![E: $i, T: $i] : ((~environment(E)) | (~in_environment(E, T)) | (~((~subpopulation(first_movers, E, T)) | (~subpopulation(efficient_producers, E, T)))))) | ((~environment(E!2)) | (~in_environment(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~((~subpopulation(first_movers, E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~subpopulation(efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))))))),
% 0.19/0.53 inference(quant_inst,[status(thm)],[])).
% 0.19/0.53 tff(263,plain,
% 0.19/0.53 ((~![E: $i, T: $i] : ((~environment(E)) | (~in_environment(E, T)) | (~((~subpopulation(first_movers, E, T)) | (~subpopulation(efficient_producers, E, T)))))) | (~environment(E!2)) | (~in_environment(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~((~subpopulation(first_movers, E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~subpopulation(efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))))),
% 0.19/0.53 inference(modus_ponens,[status(thm)],[262, 261])).
% 0.19/0.53 tff(264,plain,
% 0.19/0.53 (~((~subpopulation(first_movers, E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~subpopulation(efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))))),
% 0.19/0.53 inference(unit_resolution,[status(thm)],[263, 260, 41, 109])).
% 0.19/0.53 tff(265,plain,
% 0.19/0.53 (((~subpopulation(first_movers, E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~subpopulation(efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | subpopulation(first_movers, E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))),
% 0.19/0.53 inference(tautology,[status(thm)],[])).
% 0.19/0.53 tff(266,plain,
% 0.19/0.53 (subpopulation(first_movers, E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))),
% 0.19/0.53 inference(unit_resolution,[status(thm)],[265, 264])).
% 0.19/0.53 tff(267,plain,
% 0.19/0.53 (^[E: $i, T: $i] : refl(((~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)) | (~((~greater(cardinality_at_time(first_movers, T), zero)) | (~greater(cardinality_at_time(efficient_producers, T), zero))))) <=> ((~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)) | (~((~greater(cardinality_at_time(first_movers, T), zero)) | (~greater(cardinality_at_time(efficient_producers, T), zero))))))),
% 0.19/0.54 inference(bind,[status(th)],[])).
% 0.19/0.54 tff(268,plain,
% 0.19/0.54 (![E: $i, T: $i] : ((~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)) | (~((~greater(cardinality_at_time(first_movers, T), zero)) | (~greater(cardinality_at_time(efficient_producers, T), zero))))) <=> ![E: $i, T: $i] : ((~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)) | (~((~greater(cardinality_at_time(first_movers, T), zero)) | (~greater(cardinality_at_time(efficient_producers, T), zero)))))),
% 0.19/0.54 inference(quant_intro,[status(thm)],[267])).
% 0.19/0.54 tff(269,plain,
% 0.19/0.54 (^[E: $i, T: $i] : trans(monotonicity(trans(monotonicity(rewrite((environment(E) & subpopulations(first_movers, efficient_producers, E, T)) <=> (~((~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T))))), ((~(environment(E) & subpopulations(first_movers, efficient_producers, E, T))) <=> (~(~((~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T))))))), rewrite((~(~((~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T))))) <=> ((~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)))), ((~(environment(E) & subpopulations(first_movers, efficient_producers, E, T))) <=> ((~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T))))), rewrite((greater(cardinality_at_time(first_movers, T), zero) & greater(cardinality_at_time(efficient_producers, T), zero)) <=> (~((~greater(cardinality_at_time(first_movers, T), zero)) | (~greater(cardinality_at_time(efficient_producers, T), zero))))), (((~(environment(E) & subpopulations(first_movers, efficient_producers, E, T))) | (greater(cardinality_at_time(first_movers, T), zero) & greater(cardinality_at_time(efficient_producers, T), zero))) <=> (((~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T))) | (~((~greater(cardinality_at_time(first_movers, T), zero)) | (~greater(cardinality_at_time(efficient_producers, T), zero))))))), rewrite((((~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T))) | (~((~greater(cardinality_at_time(first_movers, T), zero)) | (~greater(cardinality_at_time(efficient_producers, T), zero))))) <=> ((~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)) | (~((~greater(cardinality_at_time(first_movers, T), zero)) | (~greater(cardinality_at_time(efficient_producers, T), zero)))))), (((~(environment(E) & subpopulations(first_movers, efficient_producers, E, T))) | (greater(cardinality_at_time(first_movers, T), zero) & greater(cardinality_at_time(efficient_producers, T), zero))) <=> ((~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)) | (~((~greater(cardinality_at_time(first_movers, T), zero)) | (~greater(cardinality_at_time(efficient_producers, T), zero)))))))),
% 0.19/0.54 inference(bind,[status(th)],[])).
% 0.19/0.54 tff(270,plain,
% 0.19/0.54 (![E: $i, T: $i] : ((~(environment(E) & subpopulations(first_movers, efficient_producers, E, T))) | (greater(cardinality_at_time(first_movers, T), zero) & greater(cardinality_at_time(efficient_producers, T), zero))) <=> ![E: $i, T: $i] : ((~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)) | (~((~greater(cardinality_at_time(first_movers, T), zero)) | (~greater(cardinality_at_time(efficient_producers, T), zero)))))),
% 0.19/0.54 inference(quant_intro,[status(thm)],[269])).
% 0.19/0.54 tff(271,plain,
% 0.19/0.54 (![E: $i, T: $i] : ((~(environment(E) & subpopulations(first_movers, efficient_producers, E, T))) | (greater(cardinality_at_time(first_movers, T), zero) & greater(cardinality_at_time(efficient_producers, T), zero))) <=> ![E: $i, T: $i] : ((~(environment(E) & subpopulations(first_movers, efficient_producers, E, T))) | (greater(cardinality_at_time(first_movers, T), zero) & greater(cardinality_at_time(efficient_producers, T), zero)))),
% 0.19/0.54 inference(rewrite,[status(thm)],[])).
% 0.19/0.54 tff(272,plain,
% 0.19/0.54 (^[E: $i, T: $i] : rewrite(((environment(E) & subpopulations(first_movers, efficient_producers, E, T)) => (greater(cardinality_at_time(first_movers, T), zero) & greater(cardinality_at_time(efficient_producers, T), zero))) <=> ((~(environment(E) & subpopulations(first_movers, efficient_producers, E, T))) | (greater(cardinality_at_time(first_movers, T), zero) & greater(cardinality_at_time(efficient_producers, T), zero))))),
% 0.19/0.54 inference(bind,[status(th)],[])).
% 0.19/0.54 tff(273,plain,
% 0.19/0.54 (![E: $i, T: $i] : ((environment(E) & subpopulations(first_movers, efficient_producers, E, T)) => (greater(cardinality_at_time(first_movers, T), zero) & greater(cardinality_at_time(efficient_producers, T), zero))) <=> ![E: $i, T: $i] : ((~(environment(E) & subpopulations(first_movers, efficient_producers, E, T))) | (greater(cardinality_at_time(first_movers, T), zero) & greater(cardinality_at_time(efficient_producers, T), zero)))),
% 0.19/0.54 inference(quant_intro,[status(thm)],[272])).
% 0.19/0.54 tff(274,axiom,(![E: $i, T: $i] : ((environment(E) & subpopulations(first_movers, efficient_producers, E, T)) => (greater(cardinality_at_time(first_movers, T), zero) & greater(cardinality_at_time(efficient_producers, T), zero)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','mp_positive_number_of_organizations')).
% 0.19/0.54 tff(275,plain,
% 0.19/0.54 (![E: $i, T: $i] : ((~(environment(E) & subpopulations(first_movers, efficient_producers, E, T))) | (greater(cardinality_at_time(first_movers, T), zero) & greater(cardinality_at_time(efficient_producers, T), zero)))),
% 0.19/0.54 inference(modus_ponens,[status(thm)],[274, 273])).
% 0.19/0.54 tff(276,plain,
% 0.19/0.54 (![E: $i, T: $i] : ((~(environment(E) & subpopulations(first_movers, efficient_producers, E, T))) | (greater(cardinality_at_time(first_movers, T), zero) & greater(cardinality_at_time(efficient_producers, T), zero)))),
% 0.19/0.54 inference(modus_ponens,[status(thm)],[275, 271])).
% 0.19/0.54 tff(277,plain,(
% 0.19/0.54 ![E: $i, T: $i] : ((~(environment(E) & subpopulations(first_movers, efficient_producers, E, T))) | (greater(cardinality_at_time(first_movers, T), zero) & greater(cardinality_at_time(efficient_producers, T), zero)))),
% 0.19/0.54 inference(skolemize,[status(sab)],[276])).
% 0.19/0.54 tff(278,plain,
% 0.19/0.54 (![E: $i, T: $i] : ((~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)) | (~((~greater(cardinality_at_time(first_movers, T), zero)) | (~greater(cardinality_at_time(efficient_producers, T), zero)))))),
% 0.19/0.54 inference(modus_ponens,[status(thm)],[277, 270])).
% 0.19/0.54 tff(279,plain,
% 0.19/0.54 (![E: $i, T: $i] : ((~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)) | (~((~greater(cardinality_at_time(first_movers, T), zero)) | (~greater(cardinality_at_time(efficient_producers, T), zero)))))),
% 0.19/0.54 inference(modus_ponens,[status(thm)],[278, 268])).
% 0.19/0.54 tff(280,plain,
% 0.19/0.54 (((~![E: $i, T: $i] : ((~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)) | (~((~greater(cardinality_at_time(first_movers, T), zero)) | (~greater(cardinality_at_time(efficient_producers, T), zero)))))) | ((~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~((~greater(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), zero)) | (~greater(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), zero)))))) <=> ((~![E: $i, T: $i] : ((~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)) | (~((~greater(cardinality_at_time(first_movers, T), zero)) | (~greater(cardinality_at_time(efficient_producers, T), zero)))))) | (~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~((~greater(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), zero)) | (~greater(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), zero)))))),
% 0.19/0.54 inference(rewrite,[status(thm)],[])).
% 0.19/0.54 tff(281,plain,
% 0.19/0.54 ((~![E: $i, T: $i] : ((~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)) | (~((~greater(cardinality_at_time(first_movers, T), zero)) | (~greater(cardinality_at_time(efficient_producers, T), zero)))))) | ((~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~((~greater(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), zero)) | (~greater(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), zero)))))),
% 0.19/0.54 inference(quant_inst,[status(thm)],[])).
% 0.19/0.54 tff(282,plain,
% 0.19/0.54 ((~![E: $i, T: $i] : ((~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)) | (~((~greater(cardinality_at_time(first_movers, T), zero)) | (~greater(cardinality_at_time(efficient_producers, T), zero)))))) | (~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~((~greater(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), zero)) | (~greater(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), zero))))),
% 0.19/0.54 inference(modus_ponens,[status(thm)],[281, 280])).
% 0.19/0.54 tff(283,plain,
% 0.19/0.54 (~((~greater(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), zero)) | (~greater(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), zero)))),
% 0.19/0.54 inference(unit_resolution,[status(thm)],[282, 279, 41, 102])).
% 0.19/0.54 tff(284,plain,
% 0.19/0.54 (((~greater(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), zero)) | (~greater(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), zero))) | greater(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), zero)),
% 0.19/0.54 inference(tautology,[status(thm)],[])).
% 0.19/0.54 tff(285,plain,
% 0.19/0.54 (greater(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), zero)),
% 0.19/0.54 inference(unit_resolution,[status(thm)],[284, 283])).
% 0.19/0.54 tff(286,plain,
% 0.19/0.54 (^[X: $i, E: $i, T: $i] : refl(((~environment(E)) | (~in_environment(E, T)) | (~subpopulation(X, E, T)) | (~greater(cardinality_at_time(X, T), zero)) | (~((~((~constant(cardinality_at_time(X, T))) | (growth_rate(X, T) = zero))) | (~((~increases(cardinality_at_time(X, T))) | greater(growth_rate(X, T), zero))) | (~((~decreases(cardinality_at_time(X, T))) | greater(zero, growth_rate(X, T))))))) <=> ((~environment(E)) | (~in_environment(E, T)) | (~subpopulation(X, E, T)) | (~greater(cardinality_at_time(X, T), zero)) | (~((~((~constant(cardinality_at_time(X, T))) | (growth_rate(X, T) = zero))) | (~((~increases(cardinality_at_time(X, T))) | greater(growth_rate(X, T), zero))) | (~((~decreases(cardinality_at_time(X, T))) | greater(zero, growth_rate(X, T))))))))),
% 0.19/0.54 inference(bind,[status(th)],[])).
% 0.19/0.54 tff(287,plain,
% 0.19/0.54 (![X: $i, E: $i, T: $i] : ((~environment(E)) | (~in_environment(E, T)) | (~subpopulation(X, E, T)) | (~greater(cardinality_at_time(X, T), zero)) | (~((~((~constant(cardinality_at_time(X, T))) | (growth_rate(X, T) = zero))) | (~((~increases(cardinality_at_time(X, T))) | greater(growth_rate(X, T), zero))) | (~((~decreases(cardinality_at_time(X, T))) | greater(zero, growth_rate(X, T))))))) <=> ![X: $i, E: $i, T: $i] : ((~environment(E)) | (~in_environment(E, T)) | (~subpopulation(X, E, T)) | (~greater(cardinality_at_time(X, T), zero)) | (~((~((~constant(cardinality_at_time(X, T))) | (growth_rate(X, T) = zero))) | (~((~increases(cardinality_at_time(X, T))) | greater(growth_rate(X, T), zero))) | (~((~decreases(cardinality_at_time(X, T))) | greater(zero, growth_rate(X, T)))))))),
% 0.19/0.54 inference(quant_intro,[status(thm)],[286])).
% 0.19/0.54 tff(288,plain,
% 0.19/0.54 (^[X: $i, E: $i, T: $i] : trans(monotonicity(trans(monotonicity(rewrite((environment(E) & in_environment(E, T) & subpopulation(X, E, T) & greater(cardinality_at_time(X, T), zero)) <=> (~((~environment(E)) | (~in_environment(E, T)) | (~subpopulation(X, E, T)) | (~greater(cardinality_at_time(X, T), zero))))), ((~(environment(E) & in_environment(E, T) & subpopulation(X, E, T) & greater(cardinality_at_time(X, T), zero))) <=> (~(~((~environment(E)) | (~in_environment(E, T)) | (~subpopulation(X, E, T)) | (~greater(cardinality_at_time(X, T), zero))))))), rewrite((~(~((~environment(E)) | (~in_environment(E, T)) | (~subpopulation(X, E, T)) | (~greater(cardinality_at_time(X, T), zero))))) <=> ((~environment(E)) | (~in_environment(E, T)) | (~subpopulation(X, E, T)) | (~greater(cardinality_at_time(X, T), zero)))), ((~(environment(E) & in_environment(E, T) & subpopulation(X, E, T) & greater(cardinality_at_time(X, T), zero))) <=> ((~environment(E)) | (~in_environment(E, T)) | (~subpopulation(X, E, T)) | (~greater(cardinality_at_time(X, T), zero))))), rewrite((((~constant(cardinality_at_time(X, T))) | (growth_rate(X, T) = zero)) & ((~increases(cardinality_at_time(X, T))) | greater(growth_rate(X, T), zero)) & ((~decreases(cardinality_at_time(X, T))) | greater(zero, growth_rate(X, T)))) <=> (~((~((~constant(cardinality_at_time(X, T))) | (growth_rate(X, T) = zero))) | (~((~increases(cardinality_at_time(X, T))) | greater(growth_rate(X, T), zero))) | (~((~decreases(cardinality_at_time(X, T))) | greater(zero, growth_rate(X, T))))))), (((~(environment(E) & in_environment(E, T) & subpopulation(X, E, T) & greater(cardinality_at_time(X, T), zero))) | (((~constant(cardinality_at_time(X, T))) | (growth_rate(X, T) = zero)) & ((~increases(cardinality_at_time(X, T))) | greater(growth_rate(X, T), zero)) & ((~decreases(cardinality_at_time(X, T))) | greater(zero, growth_rate(X, T))))) <=> (((~environment(E)) | (~in_environment(E, T)) | (~subpopulation(X, E, T)) | (~greater(cardinality_at_time(X, T), zero))) | (~((~((~constant(cardinality_at_time(X, T))) | (growth_rate(X, T) = zero))) | (~((~increases(cardinality_at_time(X, T))) | greater(growth_rate(X, T), zero))) | (~((~decreases(cardinality_at_time(X, T))) | greater(zero, growth_rate(X, T))))))))), rewrite((((~environment(E)) | (~in_environment(E, T)) | (~subpopulation(X, E, T)) | (~greater(cardinality_at_time(X, T), zero))) | (~((~((~constant(cardinality_at_time(X, T))) | (growth_rate(X, T) = zero))) | (~((~increases(cardinality_at_time(X, T))) | greater(growth_rate(X, T), zero))) | (~((~decreases(cardinality_at_time(X, T))) | greater(zero, growth_rate(X, T))))))) <=> ((~environment(E)) | (~in_environment(E, T)) | (~subpopulation(X, E, T)) | (~greater(cardinality_at_time(X, T), zero)) | (~((~((~constant(cardinality_at_time(X, T))) | (growth_rate(X, T) = zero))) | (~((~increases(cardinality_at_time(X, T))) | greater(growth_rate(X, T), zero))) | (~((~decreases(cardinality_at_time(X, T))) | greater(zero, growth_rate(X, T)))))))), (((~(environment(E) & in_environment(E, T) & subpopulation(X, E, T) & greater(cardinality_at_time(X, T), zero))) | (((~constant(cardinality_at_time(X, T))) | (growth_rate(X, T) = zero)) & ((~increases(cardinality_at_time(X, T))) | greater(growth_rate(X, T), zero)) & ((~decreases(cardinality_at_time(X, T))) | greater(zero, growth_rate(X, T))))) <=> ((~environment(E)) | (~in_environment(E, T)) | (~subpopulation(X, E, T)) | (~greater(cardinality_at_time(X, T), zero)) | (~((~((~constant(cardinality_at_time(X, T))) | (growth_rate(X, T) = zero))) | (~((~increases(cardinality_at_time(X, T))) | greater(growth_rate(X, T), zero))) | (~((~decreases(cardinality_at_time(X, T))) | greater(zero, growth_rate(X, T)))))))))),
% 0.19/0.54 inference(bind,[status(th)],[])).
% 0.19/0.54 tff(289,plain,
% 0.19/0.54 (![X: $i, E: $i, T: $i] : ((~(environment(E) & in_environment(E, T) & subpopulation(X, E, T) & greater(cardinality_at_time(X, T), zero))) | (((~constant(cardinality_at_time(X, T))) | (growth_rate(X, T) = zero)) & ((~increases(cardinality_at_time(X, T))) | greater(growth_rate(X, T), zero)) & ((~decreases(cardinality_at_time(X, T))) | greater(zero, growth_rate(X, T))))) <=> ![X: $i, E: $i, T: $i] : ((~environment(E)) | (~in_environment(E, T)) | (~subpopulation(X, E, T)) | (~greater(cardinality_at_time(X, T), zero)) | (~((~((~constant(cardinality_at_time(X, T))) | (growth_rate(X, T) = zero))) | (~((~increases(cardinality_at_time(X, T))) | greater(growth_rate(X, T), zero))) | (~((~decreases(cardinality_at_time(X, T))) | greater(zero, growth_rate(X, T)))))))),
% 0.19/0.55 inference(quant_intro,[status(thm)],[288])).
% 0.19/0.55 tff(290,plain,
% 0.19/0.55 (![X: $i, E: $i, T: $i] : ((~(environment(E) & in_environment(E, T) & subpopulation(X, E, T) & greater(cardinality_at_time(X, T), zero))) | (((~constant(cardinality_at_time(X, T))) | (growth_rate(X, T) = zero)) & ((~increases(cardinality_at_time(X, T))) | greater(growth_rate(X, T), zero)) & ((~decreases(cardinality_at_time(X, T))) | greater(zero, growth_rate(X, T))))) <=> ![X: $i, E: $i, T: $i] : ((~(environment(E) & in_environment(E, T) & subpopulation(X, E, T) & greater(cardinality_at_time(X, T), zero))) | (((~constant(cardinality_at_time(X, T))) | (growth_rate(X, T) = zero)) & ((~increases(cardinality_at_time(X, T))) | greater(growth_rate(X, T), zero)) & ((~decreases(cardinality_at_time(X, T))) | greater(zero, growth_rate(X, T)))))),
% 0.19/0.55 inference(rewrite,[status(thm)],[])).
% 0.19/0.55 tff(291,plain,
% 0.19/0.55 (^[X: $i, E: $i, T: $i] : trans(monotonicity(trans(monotonicity(rewrite(((environment(E) & in_environment(E, T)) & subpopulation(X, E, T)) <=> (environment(E) & in_environment(E, T) & subpopulation(X, E, T))), ((((environment(E) & in_environment(E, T)) & subpopulation(X, E, T)) & greater(cardinality_at_time(X, T), zero)) <=> ((environment(E) & in_environment(E, T) & subpopulation(X, E, T)) & greater(cardinality_at_time(X, T), zero)))), rewrite(((environment(E) & in_environment(E, T) & subpopulation(X, E, T)) & greater(cardinality_at_time(X, T), zero)) <=> (environment(E) & in_environment(E, T) & subpopulation(X, E, T) & greater(cardinality_at_time(X, T), zero))), ((((environment(E) & in_environment(E, T)) & subpopulation(X, E, T)) & greater(cardinality_at_time(X, T), zero)) <=> (environment(E) & in_environment(E, T) & subpopulation(X, E, T) & greater(cardinality_at_time(X, T), zero)))), trans(monotonicity(rewrite(((constant(cardinality_at_time(X, T)) => (growth_rate(X, T) = zero)) & (increases(cardinality_at_time(X, T)) => greater(growth_rate(X, T), zero))) <=> (((~constant(cardinality_at_time(X, T))) | (growth_rate(X, T) = zero)) & ((~increases(cardinality_at_time(X, T))) | greater(growth_rate(X, T), zero)))), rewrite((decreases(cardinality_at_time(X, T)) => greater(zero, growth_rate(X, T))) <=> ((~decreases(cardinality_at_time(X, T))) | greater(zero, growth_rate(X, T)))), ((((constant(cardinality_at_time(X, T)) => (growth_rate(X, T) = zero)) & (increases(cardinality_at_time(X, T)) => greater(growth_rate(X, T), zero))) & (decreases(cardinality_at_time(X, T)) => greater(zero, growth_rate(X, T)))) <=> ((((~constant(cardinality_at_time(X, T))) | (growth_rate(X, T) = zero)) & ((~increases(cardinality_at_time(X, T))) | greater(growth_rate(X, T), zero))) & ((~decreases(cardinality_at_time(X, T))) | greater(zero, growth_rate(X, T)))))), rewrite(((((~constant(cardinality_at_time(X, T))) | (growth_rate(X, T) = zero)) & ((~increases(cardinality_at_time(X, T))) | greater(growth_rate(X, T), zero))) & ((~decreases(cardinality_at_time(X, T))) | greater(zero, growth_rate(X, T)))) <=> (((~constant(cardinality_at_time(X, T))) | (growth_rate(X, T) = zero)) & ((~increases(cardinality_at_time(X, T))) | greater(growth_rate(X, T), zero)) & ((~decreases(cardinality_at_time(X, T))) | greater(zero, growth_rate(X, T))))), ((((constant(cardinality_at_time(X, T)) => (growth_rate(X, T) = zero)) & (increases(cardinality_at_time(X, T)) => greater(growth_rate(X, T), zero))) & (decreases(cardinality_at_time(X, T)) => greater(zero, growth_rate(X, T)))) <=> (((~constant(cardinality_at_time(X, T))) | (growth_rate(X, T) = zero)) & ((~increases(cardinality_at_time(X, T))) | greater(growth_rate(X, T), zero)) & ((~decreases(cardinality_at_time(X, T))) | greater(zero, growth_rate(X, T)))))), (((((environment(E) & in_environment(E, T)) & subpopulation(X, E, T)) & greater(cardinality_at_time(X, T), zero)) => (((constant(cardinality_at_time(X, T)) => (growth_rate(X, T) = zero)) & (increases(cardinality_at_time(X, T)) => greater(growth_rate(X, T), zero))) & (decreases(cardinality_at_time(X, T)) => greater(zero, growth_rate(X, T))))) <=> ((environment(E) & in_environment(E, T) & subpopulation(X, E, T) & greater(cardinality_at_time(X, T), zero)) => (((~constant(cardinality_at_time(X, T))) | (growth_rate(X, T) = zero)) & ((~increases(cardinality_at_time(X, T))) | greater(growth_rate(X, T), zero)) & ((~decreases(cardinality_at_time(X, T))) | greater(zero, growth_rate(X, T))))))), rewrite(((environment(E) & in_environment(E, T) & subpopulation(X, E, T) & greater(cardinality_at_time(X, T), zero)) => (((~constant(cardinality_at_time(X, T))) | (growth_rate(X, T) = zero)) & ((~increases(cardinality_at_time(X, T))) | greater(growth_rate(X, T), zero)) & ((~decreases(cardinality_at_time(X, T))) | greater(zero, growth_rate(X, T))))) <=> ((~(environment(E) & in_environment(E, T) & subpopulation(X, E, T) & greater(cardinality_at_time(X, T), zero))) | (((~constant(cardinality_at_time(X, T))) | (growth_rate(X, T) = zero)) & ((~increases(cardinality_at_time(X, T))) | greater(growth_rate(X, T), zero)) & ((~decreases(cardinality_at_time(X, T))) | greater(zero, growth_rate(X, T)))))), (((((environment(E) & in_environment(E, T)) & subpopulation(X, E, T)) & greater(cardinality_at_time(X, T), zero)) => (((constant(cardinality_at_time(X, T)) => (growth_rate(X, T) = zero)) & (increases(cardinality_at_time(X, T)) => greater(growth_rate(X, T), zero))) & (decreases(cardinality_at_time(X, T)) => greater(zero, growth_rate(X, T))))) <=> ((~(environment(E) & in_environment(E, T) & subpopulation(X, E, T) & greater(cardinality_at_time(X, T), zero))) | (((~constant(cardinality_at_time(X, T))) | (growth_rate(X, T) = zero)) & ((~increases(cardinality_at_time(X, T))) | greater(growth_rate(X, T), zero)) & ((~decreases(cardinality_at_time(X, T))) | greater(zero, growth_rate(X, T)))))))),
% 0.19/0.55 inference(bind,[status(th)],[])).
% 0.19/0.55 tff(292,plain,
% 0.19/0.55 (![X: $i, E: $i, T: $i] : ((((environment(E) & in_environment(E, T)) & subpopulation(X, E, T)) & greater(cardinality_at_time(X, T), zero)) => (((constant(cardinality_at_time(X, T)) => (growth_rate(X, T) = zero)) & (increases(cardinality_at_time(X, T)) => greater(growth_rate(X, T), zero))) & (decreases(cardinality_at_time(X, T)) => greater(zero, growth_rate(X, T))))) <=> ![X: $i, E: $i, T: $i] : ((~(environment(E) & in_environment(E, T) & subpopulation(X, E, T) & greater(cardinality_at_time(X, T), zero))) | (((~constant(cardinality_at_time(X, T))) | (growth_rate(X, T) = zero)) & ((~increases(cardinality_at_time(X, T))) | greater(growth_rate(X, T), zero)) & ((~decreases(cardinality_at_time(X, T))) | greater(zero, growth_rate(X, T)))))),
% 0.19/0.55 inference(quant_intro,[status(thm)],[291])).
% 0.19/0.55 tff(293,axiom,(![X: $i, E: $i, T: $i] : ((((environment(E) & in_environment(E, T)) & subpopulation(X, E, T)) & greater(cardinality_at_time(X, T), zero)) => (((constant(cardinality_at_time(X, T)) => (growth_rate(X, T) = zero)) & (increases(cardinality_at_time(X, T)) => greater(growth_rate(X, T), zero))) & (decreases(cardinality_at_time(X, T)) => greater(zero, growth_rate(X, T)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','mp_growth_rate')).
% 0.19/0.55 tff(294,plain,
% 0.19/0.55 (![X: $i, E: $i, T: $i] : ((~(environment(E) & in_environment(E, T) & subpopulation(X, E, T) & greater(cardinality_at_time(X, T), zero))) | (((~constant(cardinality_at_time(X, T))) | (growth_rate(X, T) = zero)) & ((~increases(cardinality_at_time(X, T))) | greater(growth_rate(X, T), zero)) & ((~decreases(cardinality_at_time(X, T))) | greater(zero, growth_rate(X, T)))))),
% 0.19/0.55 inference(modus_ponens,[status(thm)],[293, 292])).
% 0.19/0.55 tff(295,plain,
% 0.19/0.55 (![X: $i, E: $i, T: $i] : ((~(environment(E) & in_environment(E, T) & subpopulation(X, E, T) & greater(cardinality_at_time(X, T), zero))) | (((~constant(cardinality_at_time(X, T))) | (growth_rate(X, T) = zero)) & ((~increases(cardinality_at_time(X, T))) | greater(growth_rate(X, T), zero)) & ((~decreases(cardinality_at_time(X, T))) | greater(zero, growth_rate(X, T)))))),
% 0.19/0.55 inference(modus_ponens,[status(thm)],[294, 290])).
% 0.19/0.55 tff(296,plain,(
% 0.19/0.55 ![X: $i, E: $i, T: $i] : ((~(environment(E) & in_environment(E, T) & subpopulation(X, E, T) & greater(cardinality_at_time(X, T), zero))) | (((~constant(cardinality_at_time(X, T))) | (growth_rate(X, T) = zero)) & ((~increases(cardinality_at_time(X, T))) | greater(growth_rate(X, T), zero)) & ((~decreases(cardinality_at_time(X, T))) | greater(zero, growth_rate(X, T)))))),
% 0.19/0.55 inference(skolemize,[status(sab)],[295])).
% 0.19/0.55 tff(297,plain,
% 0.19/0.55 (![X: $i, E: $i, T: $i] : ((~environment(E)) | (~in_environment(E, T)) | (~subpopulation(X, E, T)) | (~greater(cardinality_at_time(X, T), zero)) | (~((~((~constant(cardinality_at_time(X, T))) | (growth_rate(X, T) = zero))) | (~((~increases(cardinality_at_time(X, T))) | greater(growth_rate(X, T), zero))) | (~((~decreases(cardinality_at_time(X, T))) | greater(zero, growth_rate(X, T)))))))),
% 0.19/0.55 inference(modus_ponens,[status(thm)],[296, 289])).
% 0.19/0.55 tff(298,plain,
% 0.19/0.55 (![X: $i, E: $i, T: $i] : ((~environment(E)) | (~in_environment(E, T)) | (~subpopulation(X, E, T)) | (~greater(cardinality_at_time(X, T), zero)) | (~((~((~constant(cardinality_at_time(X, T))) | (growth_rate(X, T) = zero))) | (~((~increases(cardinality_at_time(X, T))) | greater(growth_rate(X, T), zero))) | (~((~decreases(cardinality_at_time(X, T))) | greater(zero, growth_rate(X, T)))))))),
% 0.19/0.55 inference(modus_ponens,[status(thm)],[297, 287])).
% 0.19/0.55 tff(299,plain,
% 0.19/0.55 (((~![X: $i, E: $i, T: $i] : ((~environment(E)) | (~in_environment(E, T)) | (~subpopulation(X, E, T)) | (~greater(cardinality_at_time(X, T), zero)) | (~((~((~constant(cardinality_at_time(X, T))) | (growth_rate(X, T) = zero))) | (~((~increases(cardinality_at_time(X, T))) | greater(growth_rate(X, T), zero))) | (~((~decreases(cardinality_at_time(X, T))) | greater(zero, growth_rate(X, T)))))))) | ((~environment(E!2)) | (~in_environment(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~subpopulation(first_movers, E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~greater(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), zero)) | (~((~((~constant(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))) = zero))) | (~((~increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), zero))) | (~((~decreases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))))))))) <=> ((~![X: $i, E: $i, T: $i] : ((~environment(E)) | (~in_environment(E, T)) | (~subpopulation(X, E, T)) | (~greater(cardinality_at_time(X, T), zero)) | (~((~((~constant(cardinality_at_time(X, T))) | (growth_rate(X, T) = zero))) | (~((~increases(cardinality_at_time(X, T))) | greater(growth_rate(X, T), zero))) | (~((~decreases(cardinality_at_time(X, T))) | greater(zero, growth_rate(X, T)))))))) | (~environment(E!2)) | (~in_environment(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~subpopulation(first_movers, E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~greater(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), zero)) | (~((~((~constant(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))) = zero))) | (~((~increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), zero))) | (~((~decreases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))))))))),
% 0.19/0.55 inference(rewrite,[status(thm)],[])).
% 0.19/0.55 tff(300,plain,
% 0.19/0.55 ((~![X: $i, E: $i, T: $i] : ((~environment(E)) | (~in_environment(E, T)) | (~subpopulation(X, E, T)) | (~greater(cardinality_at_time(X, T), zero)) | (~((~((~constant(cardinality_at_time(X, T))) | (growth_rate(X, T) = zero))) | (~((~increases(cardinality_at_time(X, T))) | greater(growth_rate(X, T), zero))) | (~((~decreases(cardinality_at_time(X, T))) | greater(zero, growth_rate(X, T)))))))) | ((~environment(E!2)) | (~in_environment(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~subpopulation(first_movers, E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~greater(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), zero)) | (~((~((~constant(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))) = zero))) | (~((~increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), zero))) | (~((~decreases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))))))))),
% 0.44/0.55 inference(quant_inst,[status(thm)],[])).
% 0.44/0.55 tff(301,plain,
% 0.44/0.55 ((~![X: $i, E: $i, T: $i] : ((~environment(E)) | (~in_environment(E, T)) | (~subpopulation(X, E, T)) | (~greater(cardinality_at_time(X, T), zero)) | (~((~((~constant(cardinality_at_time(X, T))) | (growth_rate(X, T) = zero))) | (~((~increases(cardinality_at_time(X, T))) | greater(growth_rate(X, T), zero))) | (~((~decreases(cardinality_at_time(X, T))) | greater(zero, growth_rate(X, T)))))))) | (~environment(E!2)) | (~in_environment(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~subpopulation(first_movers, E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~greater(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), zero)) | (~((~((~constant(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))) = zero))) | (~((~increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), zero))) | (~((~decreases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))))))),
% 0.44/0.55 inference(modus_ponens,[status(thm)],[300, 299])).
% 0.44/0.55 tff(302,plain,
% 0.44/0.55 (~((~((~constant(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))) = zero))) | (~((~increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), zero))) | (~((~decreases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))))))),
% 0.44/0.55 inference(unit_resolution,[status(thm)],[301, 298, 41, 285, 109, 266])).
% 0.44/0.55 tff(303,plain,
% 0.44/0.55 (((~((~constant(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))) = zero))) | (~((~increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), zero))) | (~((~decreases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))))) | ((~increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), zero))),
% 0.44/0.55 inference(tautology,[status(thm)],[])).
% 0.44/0.55 tff(304,plain,
% 0.44/0.55 ((~increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), zero)),
% 0.44/0.55 inference(unit_resolution,[status(thm)],[303, 302])).
% 0.44/0.55 tff(305,plain,
% 0.44/0.55 ((~((~increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), zero))) | (~increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), zero)),
% 0.44/0.55 inference(tautology,[status(thm)],[])).
% 0.44/0.55 tff(306,plain,
% 0.44/0.55 ((~increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), zero)),
% 0.44/0.55 inference(unit_resolution,[status(thm)],[305, 304])).
% 0.44/0.55 tff(307,plain,
% 0.44/0.55 (greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), zero)),
% 0.44/0.55 inference(unit_resolution,[status(thm)],[306, 247])).
% 0.44/0.55 tff(308,plain,
% 0.44/0.55 (((~decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (~increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))))) | decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))),
% 0.44/0.55 inference(tautology,[status(thm)],[])).
% 0.44/0.55 tff(309,plain,
% 0.44/0.55 (decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))),
% 0.44/0.55 inference(unit_resolution,[status(thm)],[308, 245])).
% 0.44/0.55 tff(310,plain,
% 0.44/0.55 (((~subpopulation(first_movers, E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~subpopulation(efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | subpopulation(efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))),
% 0.44/0.55 inference(tautology,[status(thm)],[])).
% 0.44/0.55 tff(311,plain,
% 0.44/0.55 (subpopulation(efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))),
% 0.44/0.55 inference(unit_resolution,[status(thm)],[310, 264])).
% 0.44/0.55 tff(312,plain,
% 0.44/0.55 (((~greater(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), zero)) | (~greater(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), zero))) | greater(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), zero)),
% 0.44/0.55 inference(tautology,[status(thm)],[])).
% 0.44/0.55 tff(313,plain,
% 0.44/0.55 (greater(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), zero)),
% 0.44/0.55 inference(unit_resolution,[status(thm)],[312, 283])).
% 0.44/0.55 tff(314,plain,
% 0.44/0.55 (((~![X: $i, E: $i, T: $i] : ((~environment(E)) | (~in_environment(E, T)) | (~subpopulation(X, E, T)) | (~greater(cardinality_at_time(X, T), zero)) | (~((~((~constant(cardinality_at_time(X, T))) | (growth_rate(X, T) = zero))) | (~((~increases(cardinality_at_time(X, T))) | greater(growth_rate(X, T), zero))) | (~((~decreases(cardinality_at_time(X, T))) | greater(zero, growth_rate(X, T)))))))) | ((~environment(E!2)) | (~in_environment(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~subpopulation(efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~greater(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), zero)) | (~((~((~constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))) = zero))) | (~((~increases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), zero))) | (~((~decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))))))))) <=> ((~![X: $i, E: $i, T: $i] : ((~environment(E)) | (~in_environment(E, T)) | (~subpopulation(X, E, T)) | (~greater(cardinality_at_time(X, T), zero)) | (~((~((~constant(cardinality_at_time(X, T))) | (growth_rate(X, T) = zero))) | (~((~increases(cardinality_at_time(X, T))) | greater(growth_rate(X, T), zero))) | (~((~decreases(cardinality_at_time(X, T))) | greater(zero, growth_rate(X, T)))))))) | (~environment(E!2)) | (~in_environment(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~subpopulation(efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~greater(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), zero)) | (~((~((~constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))) = zero))) | (~((~increases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), zero))) | (~((~decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))))))))),
% 0.44/0.56 inference(rewrite,[status(thm)],[])).
% 0.44/0.56 tff(315,plain,
% 0.44/0.56 ((~![X: $i, E: $i, T: $i] : ((~environment(E)) | (~in_environment(E, T)) | (~subpopulation(X, E, T)) | (~greater(cardinality_at_time(X, T), zero)) | (~((~((~constant(cardinality_at_time(X, T))) | (growth_rate(X, T) = zero))) | (~((~increases(cardinality_at_time(X, T))) | greater(growth_rate(X, T), zero))) | (~((~decreases(cardinality_at_time(X, T))) | greater(zero, growth_rate(X, T)))))))) | ((~environment(E!2)) | (~in_environment(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~subpopulation(efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~greater(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), zero)) | (~((~((~constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))) = zero))) | (~((~increases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), zero))) | (~((~decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))))))))),
% 0.44/0.56 inference(quant_inst,[status(thm)],[])).
% 0.44/0.56 tff(316,plain,
% 0.44/0.56 ((~![X: $i, E: $i, T: $i] : ((~environment(E)) | (~in_environment(E, T)) | (~subpopulation(X, E, T)) | (~greater(cardinality_at_time(X, T), zero)) | (~((~((~constant(cardinality_at_time(X, T))) | (growth_rate(X, T) = zero))) | (~((~increases(cardinality_at_time(X, T))) | greater(growth_rate(X, T), zero))) | (~((~decreases(cardinality_at_time(X, T))) | greater(zero, growth_rate(X, T)))))))) | (~environment(E!2)) | (~in_environment(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~subpopulation(efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~greater(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), zero)) | (~((~((~constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))) = zero))) | (~((~increases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), zero))) | (~((~decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))))))),
% 0.44/0.56 inference(modus_ponens,[status(thm)],[315, 314])).
% 0.44/0.56 tff(317,plain,
% 0.44/0.56 (~((~((~constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))) = zero))) | (~((~increases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), zero))) | (~((~decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))))))),
% 0.44/0.56 inference(unit_resolution,[status(thm)],[316, 298, 41, 313, 109, 311])).
% 0.44/0.56 tff(318,plain,
% 0.44/0.56 (((~((~constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))) = zero))) | (~((~increases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), zero))) | (~((~decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))))) | ((~decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))))),
% 0.44/0.56 inference(tautology,[status(thm)],[])).
% 0.44/0.56 tff(319,plain,
% 0.44/0.56 ((~decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))),
% 0.44/0.56 inference(unit_resolution,[status(thm)],[318, 317])).
% 0.44/0.56 tff(320,plain,
% 0.44/0.56 ((~((~decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))))) | (~decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))),
% 0.44/0.56 inference(tautology,[status(thm)],[])).
% 0.44/0.56 tff(321,plain,
% 0.44/0.56 ((~decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))),
% 0.44/0.56 inference(unit_resolution,[status(thm)],[320, 319])).
% 0.44/0.56 tff(322,plain,
% 0.44/0.56 (greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))),
% 0.44/0.56 inference(unit_resolution,[status(thm)],[321, 309])).
% 0.44/0.56 tff(323,plain,
% 0.44/0.56 (((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | ((~greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (~greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), zero)) | greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))))) <=> ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (~greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (~greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), zero)) | greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))))),
% 0.44/0.56 inference(rewrite,[status(thm)],[])).
% 0.44/0.56 tff(324,plain,
% 0.44/0.56 ((greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (~greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), zero))) <=> ((~greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (~greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), zero)) | greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))))),
% 0.44/0.56 inference(rewrite,[status(thm)],[])).
% 0.44/0.56 tff(325,plain,
% 0.44/0.56 (((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (~greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), zero)))) <=> ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | ((~greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (~greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), zero)) | greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))))),
% 0.44/0.56 inference(monotonicity,[status(thm)],[324])).
% 0.44/0.56 tff(326,plain,
% 0.44/0.56 (((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (~greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), zero)))) <=> ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (~greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (~greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), zero)) | greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))))),
% 0.44/0.56 inference(transitivity,[status(thm)],[325, 323])).
% 0.44/0.56 tff(327,plain,
% 0.44/0.56 ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (~greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), zero)))),
% 0.44/0.56 inference(quant_inst,[status(thm)],[])).
% 0.44/0.56 tff(328,plain,
% 0.44/0.56 ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (~greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (~greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), zero)) | greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))),
% 0.44/0.56 inference(modus_ponens,[status(thm)],[327, 326])).
% 0.44/0.56 tff(329,plain,
% 0.44/0.56 ($false),
% 0.44/0.56 inference(unit_resolution,[status(thm)],[328, 206, 322, 307, 244])).
% 0.44/0.56 tff(330,plain,(((~decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (~increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))))) | greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))), inference(lemma,lemma(discharge,[]))).
% 0.44/0.56 tff(331,plain,
% 0.44/0.56 ((~decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (~increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))))),
% 0.44/0.56 inference(unit_resolution,[status(thm)],[330, 243])).
% 0.44/0.56 tff(332,assumption,(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))) = zero), introduced(assumption)).
% 0.44/0.56 tff(333,plain,
% 0.44/0.56 (greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) <=> greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))),
% 0.44/0.56 inference(monotonicity,[status(thm)],[332])).
% 0.44/0.56 tff(334,plain,
% 0.44/0.56 (greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) <=> greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))),
% 0.44/0.56 inference(symmetry,[status(thm)],[333])).
% 0.44/0.56 tff(335,plain,
% 0.44/0.56 ((~greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) <=> (~greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))))),
% 0.44/0.56 inference(monotonicity,[status(thm)],[334])).
% 0.44/0.56 tff(336,assumption,(~greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))), introduced(assumption)).
% 0.44/0.56 tff(337,plain,
% 0.44/0.56 (~greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))),
% 0.44/0.56 inference(modus_ponens,[status(thm)],[336, 335])).
% 0.44/0.56 tff(338,assumption,(greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))), introduced(assumption)).
% 0.44/0.56 tff(339,plain,
% 0.44/0.56 ($false),
% 0.44/0.56 inference(unit_resolution,[status(thm)],[338, 337])).
% 0.44/0.56 tff(340,plain,((~(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))) = zero)) | (~greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))), inference(lemma,lemma(discharge,[]))).
% 0.44/0.56 tff(341,plain,
% 0.44/0.56 (greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))),
% 0.44/0.56 inference(unit_resolution,[status(thm)],[340, 332, 236])).
% 0.44/0.56 tff(342,plain,
% 0.44/0.56 (((growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))) = zero) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), zero)) | (~(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))) = zero))),
% 0.44/0.56 inference(tautology,[status(thm)],[])).
% 0.44/0.56 tff(343,plain,
% 0.44/0.56 ((growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))) = zero) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), zero)),
% 0.44/0.56 inference(unit_resolution,[status(thm)],[342, 332])).
% 0.44/0.56 tff(344,assumption,(~(greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), zero) <=> ((growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))) = zero) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), zero)))), introduced(assumption)).
% 0.44/0.56 tff(345,plain,
% 0.44/0.56 ((~![X: $i, Y: $i] : (greater_or_equal(X, Y) <=> ((X = Y) | greater(X, Y)))) | (greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), zero) <=> ((growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))) = zero) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), zero)))),
% 0.44/0.56 inference(quant_inst,[status(thm)],[])).
% 0.44/0.56 tff(346,plain,
% 0.44/0.56 ($false),
% 0.44/0.56 inference(unit_resolution,[status(thm)],[345, 13, 344])).
% 0.44/0.56 tff(347,plain,(greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), zero) <=> ((growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))) = zero) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), zero))), inference(lemma,lemma(discharge,[]))).
% 0.44/0.57 tff(348,plain,
% 0.44/0.57 ((~(greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), zero) <=> ((growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))) = zero) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), zero)))) | greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), zero) | (~((growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))) = zero) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), zero)))),
% 0.44/0.57 inference(tautology,[status(thm)],[])).
% 0.44/0.57 tff(349,plain,
% 0.44/0.57 (greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), zero) | (~((growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))) = zero) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), zero)))),
% 0.44/0.57 inference(unit_resolution,[status(thm)],[348, 347])).
% 0.44/0.57 tff(350,plain,
% 0.44/0.57 (greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), zero)),
% 0.44/0.57 inference(unit_resolution,[status(thm)],[349, 343])).
% 0.44/0.57 tff(351,plain,
% 0.44/0.57 (^[E: $i, S1: $i, S2: $i, T: $i] : refl(((~environment(E)) | (~subpopulations(S1, S2, E, T)) | ((~((~greater_or_equal(growth_rate(S2, T), zero)) | (~greater(zero, growth_rate(S1, T))))) <=> outcompetes(S2, S1, T))) <=> ((~environment(E)) | (~subpopulations(S1, S2, E, T)) | ((~((~greater_or_equal(growth_rate(S2, T), zero)) | (~greater(zero, growth_rate(S1, T))))) <=> outcompetes(S2, S1, T))))),
% 0.44/0.57 inference(bind,[status(th)],[])).
% 0.44/0.57 tff(352,plain,
% 0.44/0.57 (![E: $i, S1: $i, S2: $i, T: $i] : ((~environment(E)) | (~subpopulations(S1, S2, E, T)) | ((~((~greater_or_equal(growth_rate(S2, T), zero)) | (~greater(zero, growth_rate(S1, T))))) <=> outcompetes(S2, S1, T))) <=> ![E: $i, S1: $i, S2: $i, T: $i] : ((~environment(E)) | (~subpopulations(S1, S2, E, T)) | ((~((~greater_or_equal(growth_rate(S2, T), zero)) | (~greater(zero, growth_rate(S1, T))))) <=> outcompetes(S2, S1, T)))),
% 0.44/0.57 inference(quant_intro,[status(thm)],[351])).
% 0.44/0.57 tff(353,plain,
% 0.44/0.57 (^[E: $i, S1: $i, S2: $i, T: $i] : trans(monotonicity(trans(monotonicity(rewrite((environment(E) & subpopulations(S1, S2, E, T)) <=> (~((~environment(E)) | (~subpopulations(S1, S2, E, T))))), ((~(environment(E) & subpopulations(S1, S2, E, T))) <=> (~(~((~environment(E)) | (~subpopulations(S1, S2, E, T))))))), rewrite((~(~((~environment(E)) | (~subpopulations(S1, S2, E, T))))) <=> ((~environment(E)) | (~subpopulations(S1, S2, E, T)))), ((~(environment(E) & subpopulations(S1, S2, E, T))) <=> ((~environment(E)) | (~subpopulations(S1, S2, E, T))))), rewrite(((greater_or_equal(growth_rate(S2, T), zero) & greater(zero, growth_rate(S1, T))) <=> outcompetes(S2, S1, T)) <=> ((~((~greater_or_equal(growth_rate(S2, T), zero)) | (~greater(zero, growth_rate(S1, T))))) <=> outcompetes(S2, S1, T))), (((~(environment(E) & subpopulations(S1, S2, E, T))) | ((greater_or_equal(growth_rate(S2, T), zero) & greater(zero, growth_rate(S1, T))) <=> outcompetes(S2, S1, T))) <=> (((~environment(E)) | (~subpopulations(S1, S2, E, T))) | ((~((~greater_or_equal(growth_rate(S2, T), zero)) | (~greater(zero, growth_rate(S1, T))))) <=> outcompetes(S2, S1, T))))), rewrite((((~environment(E)) | (~subpopulations(S1, S2, E, T))) | ((~((~greater_or_equal(growth_rate(S2, T), zero)) | (~greater(zero, growth_rate(S1, T))))) <=> outcompetes(S2, S1, T))) <=> ((~environment(E)) | (~subpopulations(S1, S2, E, T)) | ((~((~greater_or_equal(growth_rate(S2, T), zero)) | (~greater(zero, growth_rate(S1, T))))) <=> outcompetes(S2, S1, T)))), (((~(environment(E) & subpopulations(S1, S2, E, T))) | ((greater_or_equal(growth_rate(S2, T), zero) & greater(zero, growth_rate(S1, T))) <=> outcompetes(S2, S1, T))) <=> ((~environment(E)) | (~subpopulations(S1, S2, E, T)) | ((~((~greater_or_equal(growth_rate(S2, T), zero)) | (~greater(zero, growth_rate(S1, T))))) <=> outcompetes(S2, S1, T)))))),
% 0.46/0.57 inference(bind,[status(th)],[])).
% 0.46/0.57 tff(354,plain,
% 0.46/0.57 (![E: $i, S1: $i, S2: $i, T: $i] : ((~(environment(E) & subpopulations(S1, S2, E, T))) | ((greater_or_equal(growth_rate(S2, T), zero) & greater(zero, growth_rate(S1, T))) <=> outcompetes(S2, S1, T))) <=> ![E: $i, S1: $i, S2: $i, T: $i] : ((~environment(E)) | (~subpopulations(S1, S2, E, T)) | ((~((~greater_or_equal(growth_rate(S2, T), zero)) | (~greater(zero, growth_rate(S1, T))))) <=> outcompetes(S2, S1, T)))),
% 0.46/0.57 inference(quant_intro,[status(thm)],[353])).
% 0.46/0.57 tff(355,plain,
% 0.46/0.57 (![E: $i, S1: $i, S2: $i, T: $i] : ((~(environment(E) & subpopulations(S1, S2, E, T))) | ((greater_or_equal(growth_rate(S2, T), zero) & greater(zero, growth_rate(S1, T))) <=> outcompetes(S2, S1, T))) <=> ![E: $i, S1: $i, S2: $i, T: $i] : ((~(environment(E) & subpopulations(S1, S2, E, T))) | ((greater_or_equal(growth_rate(S2, T), zero) & greater(zero, growth_rate(S1, T))) <=> outcompetes(S2, S1, T)))),
% 0.46/0.57 inference(rewrite,[status(thm)],[])).
% 0.46/0.57 tff(356,plain,
% 0.46/0.57 (^[E: $i, S1: $i, S2: $i, T: $i] : rewrite(((environment(E) & subpopulations(S1, S2, E, T)) => ((greater_or_equal(growth_rate(S2, T), zero) & greater(zero, growth_rate(S1, T))) <=> outcompetes(S2, S1, T))) <=> ((~(environment(E) & subpopulations(S1, S2, E, T))) | ((greater_or_equal(growth_rate(S2, T), zero) & greater(zero, growth_rate(S1, T))) <=> outcompetes(S2, S1, T))))),
% 0.46/0.57 inference(bind,[status(th)],[])).
% 0.46/0.57 tff(357,plain,
% 0.46/0.57 (![E: $i, S1: $i, S2: $i, T: $i] : ((environment(E) & subpopulations(S1, S2, E, T)) => ((greater_or_equal(growth_rate(S2, T), zero) & greater(zero, growth_rate(S1, T))) <=> outcompetes(S2, S1, T))) <=> ![E: $i, S1: $i, S2: $i, T: $i] : ((~(environment(E) & subpopulations(S1, S2, E, T))) | ((greater_or_equal(growth_rate(S2, T), zero) & greater(zero, growth_rate(S1, T))) <=> outcompetes(S2, S1, T)))),
% 0.46/0.57 inference(quant_intro,[status(thm)],[356])).
% 0.46/0.57 tff(358,axiom,(![E: $i, S1: $i, S2: $i, T: $i] : ((environment(E) & subpopulations(S1, S2, E, T)) => ((greater_or_equal(growth_rate(S2, T), zero) & greater(zero, growth_rate(S1, T))) <=> outcompetes(S2, S1, T)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','d2')).
% 0.46/0.57 tff(359,plain,
% 0.46/0.57 (![E: $i, S1: $i, S2: $i, T: $i] : ((~(environment(E) & subpopulations(S1, S2, E, T))) | ((greater_or_equal(growth_rate(S2, T), zero) & greater(zero, growth_rate(S1, T))) <=> outcompetes(S2, S1, T)))),
% 0.46/0.57 inference(modus_ponens,[status(thm)],[358, 357])).
% 0.46/0.57 tff(360,plain,
% 0.46/0.57 (![E: $i, S1: $i, S2: $i, T: $i] : ((~(environment(E) & subpopulations(S1, S2, E, T))) | ((greater_or_equal(growth_rate(S2, T), zero) & greater(zero, growth_rate(S1, T))) <=> outcompetes(S2, S1, T)))),
% 0.46/0.57 inference(modus_ponens,[status(thm)],[359, 355])).
% 0.46/0.57 tff(361,plain,(
% 0.46/0.57 ![E: $i, S1: $i, S2: $i, T: $i] : ((~(environment(E) & subpopulations(S1, S2, E, T))) | ((greater_or_equal(growth_rate(S2, T), zero) & greater(zero, growth_rate(S1, T))) <=> outcompetes(S2, S1, T)))),
% 0.46/0.57 inference(skolemize,[status(sab)],[360])).
% 0.46/0.57 tff(362,plain,
% 0.46/0.57 (![E: $i, S1: $i, S2: $i, T: $i] : ((~environment(E)) | (~subpopulations(S1, S2, E, T)) | ((~((~greater_or_equal(growth_rate(S2, T), zero)) | (~greater(zero, growth_rate(S1, T))))) <=> outcompetes(S2, S1, T)))),
% 0.46/0.57 inference(modus_ponens,[status(thm)],[361, 354])).
% 0.46/0.57 tff(363,plain,
% 0.46/0.57 (![E: $i, S1: $i, S2: $i, T: $i] : ((~environment(E)) | (~subpopulations(S1, S2, E, T)) | ((~((~greater_or_equal(growth_rate(S2, T), zero)) | (~greater(zero, growth_rate(S1, T))))) <=> outcompetes(S2, S1, T)))),
% 0.46/0.57 inference(modus_ponens,[status(thm)],[362, 352])).
% 0.46/0.57 tff(364,plain,
% 0.46/0.57 (((~![E: $i, S1: $i, S2: $i, T: $i] : ((~environment(E)) | (~subpopulations(S1, S2, E, T)) | ((~((~greater_or_equal(growth_rate(S2, T), zero)) | (~greater(zero, growth_rate(S1, T))))) <=> outcompetes(S2, S1, T)))) | ((~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | ((~((~greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), zero)) | (~greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))))) <=> outcompetes(efficient_producers, first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))))) <=> ((~![E: $i, S1: $i, S2: $i, T: $i] : ((~environment(E)) | (~subpopulations(S1, S2, E, T)) | ((~((~greater_or_equal(growth_rate(S2, T), zero)) | (~greater(zero, growth_rate(S1, T))))) <=> outcompetes(S2, S1, T)))) | (~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | ((~((~greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), zero)) | (~greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))))) <=> outcompetes(efficient_producers, first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))))),
% 0.46/0.57 inference(rewrite,[status(thm)],[])).
% 0.46/0.57 tff(365,plain,
% 0.46/0.57 ((~![E: $i, S1: $i, S2: $i, T: $i] : ((~environment(E)) | (~subpopulations(S1, S2, E, T)) | ((~((~greater_or_equal(growth_rate(S2, T), zero)) | (~greater(zero, growth_rate(S1, T))))) <=> outcompetes(S2, S1, T)))) | ((~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | ((~((~greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), zero)) | (~greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))))) <=> outcompetes(efficient_producers, first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))))),
% 0.46/0.57 inference(quant_inst,[status(thm)],[])).
% 0.46/0.57 tff(366,plain,
% 0.46/0.57 ((~![E: $i, S1: $i, S2: $i, T: $i] : ((~environment(E)) | (~subpopulations(S1, S2, E, T)) | ((~((~greater_or_equal(growth_rate(S2, T), zero)) | (~greater(zero, growth_rate(S1, T))))) <=> outcompetes(S2, S1, T)))) | (~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | ((~((~greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), zero)) | (~greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))))) <=> outcompetes(efficient_producers, first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))),
% 0.46/0.57 inference(modus_ponens,[status(thm)],[365, 364])).
% 0.46/0.57 tff(367,plain,
% 0.46/0.57 ((~((~greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), zero)) | (~greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))))) <=> outcompetes(efficient_producers, first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))),
% 0.46/0.57 inference(unit_resolution,[status(thm)],[366, 363, 41, 102])).
% 0.46/0.57 tff(368,plain,
% 0.46/0.57 ((outcompetes(efficient_producers, first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))), tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~outcompetes(efficient_producers, first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))),
% 0.46/0.57 inference(tautology,[status(thm)],[])).
% 0.46/0.57 tff(369,plain,
% 0.46/0.57 (~outcompetes(efficient_producers, first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))),
% 0.46/0.57 inference(unit_resolution,[status(thm)],[368, 100])).
% 0.46/0.57 tff(370,plain,
% 0.46/0.57 ((~((~((~greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), zero)) | (~greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))))) <=> outcompetes(efficient_producers, first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | ((~greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), zero)) | (~greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))))) | outcompetes(efficient_producers, first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))),
% 0.46/0.57 inference(tautology,[status(thm)],[])).
% 0.46/0.57 tff(371,plain,
% 0.46/0.57 ((~((~((~greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), zero)) | (~greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))))) <=> outcompetes(efficient_producers, first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | ((~greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), zero)) | (~greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))))),
% 0.46/0.57 inference(unit_resolution,[status(thm)],[370, 369])).
% 0.46/0.57 tff(372,plain,
% 0.46/0.57 ((~greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), zero)) | (~greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))))),
% 0.46/0.57 inference(unit_resolution,[status(thm)],[371, 367])).
% 0.46/0.57 tff(373,plain,
% 0.46/0.57 ((~((~greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), zero)) | (~greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))))) | (~greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), zero)) | (~greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))))),
% 0.46/0.57 inference(tautology,[status(thm)],[])).
% 0.46/0.57 tff(374,plain,
% 0.46/0.57 ((~greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), zero)) | (~greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))))),
% 0.46/0.57 inference(unit_resolution,[status(thm)],[373, 372])).
% 0.46/0.57 tff(375,plain,
% 0.46/0.57 ($false),
% 0.46/0.57 inference(unit_resolution,[status(thm)],[374, 350, 341])).
% 0.46/0.57 tff(376,plain,(~(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))) = zero)), inference(lemma,lemma(discharge,[]))).
% 0.46/0.57 tff(377,plain,
% 0.46/0.57 (((~((~constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))) = zero))) | (~((~increases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), zero))) | (~((~decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))))) | ((~constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))) = zero))),
% 0.46/0.57 inference(tautology,[status(thm)],[])).
% 0.46/0.57 tff(378,plain,
% 0.46/0.57 ((~constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))) = zero)),
% 0.46/0.57 inference(unit_resolution,[status(thm)],[377, 317])).
% 0.46/0.57 tff(379,plain,
% 0.46/0.57 ((~((~constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))) = zero))) | (~constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))) = zero)),
% 0.46/0.57 inference(tautology,[status(thm)],[])).
% 0.46/0.57 tff(380,plain,
% 0.46/0.57 ((~constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))) = zero)),
% 0.46/0.57 inference(unit_resolution,[status(thm)],[379, 378])).
% 0.46/0.57 tff(381,plain,
% 0.46/0.57 (~constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))),
% 0.46/0.57 inference(unit_resolution,[status(thm)],[380, 376])).
% 0.46/0.57 tff(382,plain,
% 0.46/0.57 (((~constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (~constant(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))))) | constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))),
% 0.46/0.58 inference(tautology,[status(thm)],[])).
% 0.46/0.58 tff(383,plain,
% 0.46/0.58 ((~constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (~constant(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))))),
% 0.46/0.58 inference(unit_resolution,[status(thm)],[382, 381])).
% 0.46/0.58 tff(384,assumption,(~((~decreases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (~increases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))))), introduced(assumption)).
% 0.46/0.58 tff(385,plain,
% 0.46/0.58 (((~decreases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (~increases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))))) | decreases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))),
% 0.46/0.58 inference(tautology,[status(thm)],[])).
% 0.46/0.58 tff(386,plain,
% 0.46/0.58 (decreases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))),
% 0.46/0.58 inference(unit_resolution,[status(thm)],[385, 384])).
% 0.46/0.58 tff(387,plain,
% 0.46/0.58 (((~((~constant(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))) = zero))) | (~((~increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), zero))) | (~((~decreases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))))) | ((~decreases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))))),
% 0.46/0.58 inference(tautology,[status(thm)],[])).
% 0.46/0.58 tff(388,plain,
% 0.46/0.58 ((~decreases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))),
% 0.46/0.58 inference(unit_resolution,[status(thm)],[387, 302])).
% 0.46/0.58 tff(389,plain,
% 0.46/0.58 ((~((~decreases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))))) | (~decreases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))),
% 0.46/0.58 inference(tautology,[status(thm)],[])).
% 0.46/0.58 tff(390,plain,
% 0.46/0.58 ((~decreases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))),
% 0.46/0.58 inference(unit_resolution,[status(thm)],[389, 388])).
% 0.46/0.58 tff(391,plain,
% 0.46/0.58 (greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))),
% 0.46/0.58 inference(unit_resolution,[status(thm)],[390, 386])).
% 0.46/0.58 tff(392,plain,
% 0.46/0.58 (~greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), zero)),
% 0.46/0.58 inference(unit_resolution,[status(thm)],[374, 391])).
% 0.46/0.58 tff(393,plain,
% 0.46/0.58 (((~decreases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (~increases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))))) | increases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))),
% 0.46/0.58 inference(tautology,[status(thm)],[])).
% 0.46/0.58 tff(394,plain,
% 0.46/0.58 (increases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))),
% 0.46/0.58 inference(unit_resolution,[status(thm)],[393, 384])).
% 0.46/0.58 tff(395,plain,
% 0.46/0.58 (((~((~constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))) = zero))) | (~((~increases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), zero))) | (~((~decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))))) | ((~increases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), zero))),
% 0.46/0.58 inference(tautology,[status(thm)],[])).
% 0.46/0.58 tff(396,plain,
% 0.46/0.58 ((~increases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), zero)),
% 0.46/0.58 inference(unit_resolution,[status(thm)],[395, 317])).
% 0.46/0.58 tff(397,plain,
% 0.46/0.58 ((~((~increases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), zero))) | (~increases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), zero)),
% 0.46/0.58 inference(tautology,[status(thm)],[])).
% 0.46/0.58 tff(398,plain,
% 0.46/0.58 ((~increases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), zero)),
% 0.46/0.58 inference(unit_resolution,[status(thm)],[397, 396])).
% 0.46/0.58 tff(399,plain,
% 0.46/0.58 (greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), zero)),
% 0.46/0.58 inference(unit_resolution,[status(thm)],[398, 394])).
% 0.46/0.58 tff(400,plain,
% 0.46/0.58 (((growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))) = zero) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), zero)) | (~greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), zero))),
% 0.46/0.58 inference(tautology,[status(thm)],[])).
% 0.46/0.58 tff(401,plain,
% 0.46/0.58 ((growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))) = zero) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), zero)),
% 0.46/0.58 inference(unit_resolution,[status(thm)],[400, 399])).
% 0.46/0.58 tff(402,plain,
% 0.46/0.58 ($false),
% 0.46/0.58 inference(unit_resolution,[status(thm)],[349, 401, 392])).
% 0.46/0.58 tff(403,plain,((~decreases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (~increases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))))), inference(lemma,lemma(discharge,[]))).
% 0.46/0.58 tff(404,plain,
% 0.46/0.58 (^[E: $i, X: $i, T: $i] : refl(((number_of_organizations(E, T) = sum(cardinality_at_time(first_movers, T), cardinality_at_time(efficient_producers, T))) | (~environment(E)) | (~subpopulation(X, E, T)) | (~((X = first_movers) | (X = efficient_producers) | (~greater(cardinality_at_time(X, T), zero))))) <=> ((number_of_organizations(E, T) = sum(cardinality_at_time(first_movers, T), cardinality_at_time(efficient_producers, T))) | (~environment(E)) | (~subpopulation(X, E, T)) | (~((X = first_movers) | (X = efficient_producers) | (~greater(cardinality_at_time(X, T), zero))))))),
% 0.46/0.58 inference(bind,[status(th)],[])).
% 0.46/0.58 tff(405,plain,
% 0.46/0.58 (![E: $i, X: $i, T: $i] : ((number_of_organizations(E, T) = sum(cardinality_at_time(first_movers, T), cardinality_at_time(efficient_producers, T))) | (~environment(E)) | (~subpopulation(X, E, T)) | (~((X = first_movers) | (X = efficient_producers) | (~greater(cardinality_at_time(X, T), zero))))) <=> ![E: $i, X: $i, T: $i] : ((number_of_organizations(E, T) = sum(cardinality_at_time(first_movers, T), cardinality_at_time(efficient_producers, T))) | (~environment(E)) | (~subpopulation(X, E, T)) | (~((X = first_movers) | (X = efficient_producers) | (~greater(cardinality_at_time(X, T), zero)))))),
% 0.46/0.58 inference(quant_intro,[status(thm)],[404])).
% 0.46/0.58 tff(406,plain,
% 0.46/0.58 (^[E: $i, X: $i, T: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((X = first_movers) | (X = efficient_producers) | (~greater(cardinality_at_time(X, T), zero))) <=> ((X = first_movers) | (X = efficient_producers) | (~greater(cardinality_at_time(X, T), zero)))), ((environment(E) & subpopulation(X, E, T) & ((X = first_movers) | (X = efficient_producers) | (~greater(cardinality_at_time(X, T), zero)))) <=> (environment(E) & subpopulation(X, E, T) & ((X = first_movers) | (X = efficient_producers) | (~greater(cardinality_at_time(X, T), zero)))))), rewrite((environment(E) & subpopulation(X, E, T) & ((X = first_movers) | (X = efficient_producers) | (~greater(cardinality_at_time(X, T), zero)))) <=> (~((~environment(E)) | (~subpopulation(X, E, T)) | (~((X = first_movers) | (X = efficient_producers) | (~greater(cardinality_at_time(X, T), zero))))))), ((environment(E) & subpopulation(X, E, T) & ((X = first_movers) | (X = efficient_producers) | (~greater(cardinality_at_time(X, T), zero)))) <=> (~((~environment(E)) | (~subpopulation(X, E, T)) | (~((X = first_movers) | (X = efficient_producers) | (~greater(cardinality_at_time(X, T), zero)))))))), ((~(environment(E) & subpopulation(X, E, T) & ((X = first_movers) | (X = efficient_producers) | (~greater(cardinality_at_time(X, T), zero))))) <=> (~(~((~environment(E)) | (~subpopulation(X, E, T)) | (~((X = first_movers) | (X = efficient_producers) | (~greater(cardinality_at_time(X, T), zero))))))))), rewrite((~(~((~environment(E)) | (~subpopulation(X, E, T)) | (~((X = first_movers) | (X = efficient_producers) | (~greater(cardinality_at_time(X, T), zero))))))) <=> ((~environment(E)) | (~subpopulation(X, E, T)) | (~((X = first_movers) | (X = efficient_producers) | (~greater(cardinality_at_time(X, T), zero)))))), ((~(environment(E) & subpopulation(X, E, T) & ((X = first_movers) | (X = efficient_producers) | (~greater(cardinality_at_time(X, T), zero))))) <=> ((~environment(E)) | (~subpopulation(X, E, T)) | (~((X = first_movers) | (X = efficient_producers) | (~greater(cardinality_at_time(X, T), zero))))))), (((~(environment(E) & subpopulation(X, E, T) & ((X = first_movers) | (X = efficient_producers) | (~greater(cardinality_at_time(X, T), zero))))) | (number_of_organizations(E, T) = sum(cardinality_at_time(first_movers, T), cardinality_at_time(efficient_producers, T)))) <=> (((~environment(E)) | (~subpopulation(X, E, T)) | (~((X = first_movers) | (X = efficient_producers) | (~greater(cardinality_at_time(X, T), zero))))) | (number_of_organizations(E, T) = sum(cardinality_at_time(first_movers, T), cardinality_at_time(efficient_producers, T)))))), rewrite((((~environment(E)) | (~subpopulation(X, E, T)) | (~((X = first_movers) | (X = efficient_producers) | (~greater(cardinality_at_time(X, T), zero))))) | (number_of_organizations(E, T) = sum(cardinality_at_time(first_movers, T), cardinality_at_time(efficient_producers, T)))) <=> ((number_of_organizations(E, T) = sum(cardinality_at_time(first_movers, T), cardinality_at_time(efficient_producers, T))) | (~environment(E)) | (~subpopulation(X, E, T)) | (~((X = first_movers) | (X = efficient_producers) | (~greater(cardinality_at_time(X, T), zero)))))), (((~(environment(E) & subpopulation(X, E, T) & ((X = first_movers) | (X = efficient_producers) | (~greater(cardinality_at_time(X, T), zero))))) | (number_of_organizations(E, T) = sum(cardinality_at_time(first_movers, T), cardinality_at_time(efficient_producers, T)))) <=> ((number_of_organizations(E, T) = sum(cardinality_at_time(first_movers, T), cardinality_at_time(efficient_producers, T))) | (~environment(E)) | (~subpopulation(X, E, T)) | (~((X = first_movers) | (X = efficient_producers) | (~greater(cardinality_at_time(X, T), zero)))))))),
% 0.46/0.58 inference(bind,[status(th)],[])).
% 0.46/0.58 tff(407,plain,
% 0.46/0.58 (![E: $i, X: $i, T: $i] : ((~(environment(E) & subpopulation(X, E, T) & ((X = first_movers) | (X = efficient_producers) | (~greater(cardinality_at_time(X, T), zero))))) | (number_of_organizations(E, T) = sum(cardinality_at_time(first_movers, T), cardinality_at_time(efficient_producers, T)))) <=> ![E: $i, X: $i, T: $i] : ((number_of_organizations(E, T) = sum(cardinality_at_time(first_movers, T), cardinality_at_time(efficient_producers, T))) | (~environment(E)) | (~subpopulation(X, E, T)) | (~((X = first_movers) | (X = efficient_producers) | (~greater(cardinality_at_time(X, T), zero)))))),
% 0.46/0.58 inference(quant_intro,[status(thm)],[406])).
% 0.46/0.58 tff(408,plain,
% 0.46/0.58 (![E: $i, X: $i, T: $i] : ((~(environment(E) & subpopulation(X, E, T) & ((X = first_movers) | (X = efficient_producers) | (~greater(cardinality_at_time(X, T), zero))))) | (number_of_organizations(E, T) = sum(cardinality_at_time(first_movers, T), cardinality_at_time(efficient_producers, T)))) <=> ![E: $i, X: $i, T: $i] : ((~(environment(E) & subpopulation(X, E, T) & ((X = first_movers) | (X = efficient_producers) | (~greater(cardinality_at_time(X, T), zero))))) | (number_of_organizations(E, T) = sum(cardinality_at_time(first_movers, T), cardinality_at_time(efficient_producers, T))))),
% 0.46/0.58 inference(rewrite,[status(thm)],[])).
% 0.46/0.58 tff(409,plain,
% 0.46/0.58 (^[E: $i, X: $i, T: $i] : trans(monotonicity(trans(monotonicity(rewrite((greater(cardinality_at_time(X, T), zero) => ((X = efficient_producers) | (X = first_movers))) <=> ((X = first_movers) | (X = efficient_producers) | (~greater(cardinality_at_time(X, T), zero)))), (((environment(E) & subpopulation(X, E, T)) & (greater(cardinality_at_time(X, T), zero) => ((X = efficient_producers) | (X = first_movers)))) <=> ((environment(E) & subpopulation(X, E, T)) & ((X = first_movers) | (X = efficient_producers) | (~greater(cardinality_at_time(X, T), zero)))))), rewrite(((environment(E) & subpopulation(X, E, T)) & ((X = first_movers) | (X = efficient_producers) | (~greater(cardinality_at_time(X, T), zero)))) <=> (environment(E) & subpopulation(X, E, T) & ((X = first_movers) | (X = efficient_producers) | (~greater(cardinality_at_time(X, T), zero))))), (((environment(E) & subpopulation(X, E, T)) & (greater(cardinality_at_time(X, T), zero) => ((X = efficient_producers) | (X = first_movers)))) <=> (environment(E) & subpopulation(X, E, T) & ((X = first_movers) | (X = efficient_producers) | (~greater(cardinality_at_time(X, T), zero)))))), ((((environment(E) & subpopulation(X, E, T)) & (greater(cardinality_at_time(X, T), zero) => ((X = efficient_producers) | (X = first_movers)))) => (number_of_organizations(E, T) = sum(cardinality_at_time(first_movers, T), cardinality_at_time(efficient_producers, T)))) <=> ((environment(E) & subpopulation(X, E, T) & ((X = first_movers) | (X = efficient_producers) | (~greater(cardinality_at_time(X, T), zero)))) => (number_of_organizations(E, T) = sum(cardinality_at_time(first_movers, T), cardinality_at_time(efficient_producers, T)))))), rewrite(((environment(E) & subpopulation(X, E, T) & ((X = first_movers) | (X = efficient_producers) | (~greater(cardinality_at_time(X, T), zero)))) => (number_of_organizations(E, T) = sum(cardinality_at_time(first_movers, T), cardinality_at_time(efficient_producers, T)))) <=> ((~(environment(E) & subpopulation(X, E, T) & ((X = first_movers) | (X = efficient_producers) | (~greater(cardinality_at_time(X, T), zero))))) | (number_of_organizations(E, T) = sum(cardinality_at_time(first_movers, T), cardinality_at_time(efficient_producers, T))))), ((((environment(E) & subpopulation(X, E, T)) & (greater(cardinality_at_time(X, T), zero) => ((X = efficient_producers) | (X = first_movers)))) => (number_of_organizations(E, T) = sum(cardinality_at_time(first_movers, T), cardinality_at_time(efficient_producers, T)))) <=> ((~(environment(E) & subpopulation(X, E, T) & ((X = first_movers) | (X = efficient_producers) | (~greater(cardinality_at_time(X, T), zero))))) | (number_of_organizations(E, T) = sum(cardinality_at_time(first_movers, T), cardinality_at_time(efficient_producers, T))))))),
% 0.46/0.58 inference(bind,[status(th)],[])).
% 0.46/0.58 tff(410,plain,
% 0.46/0.58 (![E: $i, X: $i, T: $i] : (((environment(E) & subpopulation(X, E, T)) & (greater(cardinality_at_time(X, T), zero) => ((X = efficient_producers) | (X = first_movers)))) => (number_of_organizations(E, T) = sum(cardinality_at_time(first_movers, T), cardinality_at_time(efficient_producers, T)))) <=> ![E: $i, X: $i, T: $i] : ((~(environment(E) & subpopulation(X, E, T) & ((X = first_movers) | (X = efficient_producers) | (~greater(cardinality_at_time(X, T), zero))))) | (number_of_organizations(E, T) = sum(cardinality_at_time(first_movers, T), cardinality_at_time(efficient_producers, T))))),
% 0.46/0.58 inference(quant_intro,[status(thm)],[409])).
% 0.46/0.58 tff(411,axiom,(![E: $i, X: $i, T: $i] : (((environment(E) & subpopulation(X, E, T)) & (greater(cardinality_at_time(X, T), zero) => ((X = efficient_producers) | (X = first_movers)))) => (number_of_organizations(E, T) = sum(cardinality_at_time(first_movers, T), cardinality_at_time(efficient_producers, T))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','mp_only_members')).
% 0.46/0.58 tff(412,plain,
% 0.46/0.58 (![E: $i, X: $i, T: $i] : ((~(environment(E) & subpopulation(X, E, T) & ((X = first_movers) | (X = efficient_producers) | (~greater(cardinality_at_time(X, T), zero))))) | (number_of_organizations(E, T) = sum(cardinality_at_time(first_movers, T), cardinality_at_time(efficient_producers, T))))),
% 0.46/0.58 inference(modus_ponens,[status(thm)],[411, 410])).
% 0.46/0.58 tff(413,plain,
% 0.46/0.58 (![E: $i, X: $i, T: $i] : ((~(environment(E) & subpopulation(X, E, T) & ((X = first_movers) | (X = efficient_producers) | (~greater(cardinality_at_time(X, T), zero))))) | (number_of_organizations(E, T) = sum(cardinality_at_time(first_movers, T), cardinality_at_time(efficient_producers, T))))),
% 0.46/0.58 inference(modus_ponens,[status(thm)],[412, 408])).
% 0.46/0.58 tff(414,plain,(
% 0.46/0.58 ![E: $i, X: $i, T: $i] : ((~(environment(E) & subpopulation(X, E, T) & ((X = first_movers) | (X = efficient_producers) | (~greater(cardinality_at_time(X, T), zero))))) | (number_of_organizations(E, T) = sum(cardinality_at_time(first_movers, T), cardinality_at_time(efficient_producers, T))))),
% 0.46/0.58 inference(skolemize,[status(sab)],[413])).
% 0.46/0.58 tff(415,plain,
% 0.46/0.58 (![E: $i, X: $i, T: $i] : ((number_of_organizations(E, T) = sum(cardinality_at_time(first_movers, T), cardinality_at_time(efficient_producers, T))) | (~environment(E)) | (~subpopulation(X, E, T)) | (~((X = first_movers) | (X = efficient_producers) | (~greater(cardinality_at_time(X, T), zero)))))),
% 0.46/0.58 inference(modus_ponens,[status(thm)],[414, 407])).
% 0.46/0.58 tff(416,plain,
% 0.46/0.58 (![E: $i, X: $i, T: $i] : ((number_of_organizations(E, T) = sum(cardinality_at_time(first_movers, T), cardinality_at_time(efficient_producers, T))) | (~environment(E)) | (~subpopulation(X, E, T)) | (~((X = first_movers) | (X = efficient_producers) | (~greater(cardinality_at_time(X, T), zero)))))),
% 0.46/0.58 inference(modus_ponens,[status(thm)],[415, 405])).
% 0.46/0.58 tff(417,plain,
% 0.46/0.58 (((~![E: $i, X: $i, T: $i] : ((number_of_organizations(E, T) = sum(cardinality_at_time(first_movers, T), cardinality_at_time(efficient_producers, T))) | (~environment(E)) | (~subpopulation(X, E, T)) | (~((X = first_movers) | (X = efficient_producers) | (~greater(cardinality_at_time(X, T), zero)))))) | ((~environment(E!2)) | (~subpopulation(efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))) = sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))))) <=> ((~![E: $i, X: $i, T: $i] : ((number_of_organizations(E, T) = sum(cardinality_at_time(first_movers, T), cardinality_at_time(efficient_producers, T))) | (~environment(E)) | (~subpopulation(X, E, T)) | (~((X = first_movers) | (X = efficient_producers) | (~greater(cardinality_at_time(X, T), zero)))))) | (~environment(E!2)) | (~subpopulation(efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))) = sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))))),
% 0.46/0.59 inference(rewrite,[status(thm)],[])).
% 0.46/0.59 tff(418,plain,
% 0.46/0.59 (((number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))) = sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (~environment(E!2)) | (~subpopulation(efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | $false) <=> ((~environment(E!2)) | (~subpopulation(efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))) = sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))))),
% 0.46/0.59 inference(rewrite,[status(thm)],[])).
% 0.46/0.59 tff(419,plain,
% 0.46/0.59 ((~$true) <=> $false),
% 0.46/0.59 inference(rewrite,[status(thm)],[])).
% 0.46/0.59 tff(420,plain,
% 0.46/0.59 (((efficient_producers = first_movers) | $true | (~greater(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), zero))) <=> $true),
% 0.46/0.59 inference(rewrite,[status(thm)],[])).
% 0.46/0.59 tff(421,plain,
% 0.46/0.59 ((efficient_producers = efficient_producers) <=> $true),
% 0.46/0.59 inference(rewrite,[status(thm)],[])).
% 0.46/0.59 tff(422,plain,
% 0.46/0.59 (((efficient_producers = first_movers) | (efficient_producers = efficient_producers) | (~greater(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), zero))) <=> ((efficient_producers = first_movers) | $true | (~greater(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), zero)))),
% 0.46/0.59 inference(monotonicity,[status(thm)],[421])).
% 0.46/0.59 tff(423,plain,
% 0.46/0.59 (((efficient_producers = first_movers) | (efficient_producers = efficient_producers) | (~greater(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), zero))) <=> $true),
% 0.46/0.59 inference(transitivity,[status(thm)],[422, 420])).
% 0.46/0.59 tff(424,plain,
% 0.46/0.59 ((~((efficient_producers = first_movers) | (efficient_producers = efficient_producers) | (~greater(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), zero)))) <=> (~$true)),
% 0.46/0.59 inference(monotonicity,[status(thm)],[423])).
% 0.46/0.59 tff(425,plain,
% 0.46/0.59 ((~((efficient_producers = first_movers) | (efficient_producers = efficient_producers) | (~greater(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), zero)))) <=> $false),
% 0.46/0.59 inference(transitivity,[status(thm)],[424, 419])).
% 0.46/0.59 tff(426,plain,
% 0.46/0.59 (((number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))) = sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (~environment(E!2)) | (~subpopulation(efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~((efficient_producers = first_movers) | (efficient_producers = efficient_producers) | (~greater(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), zero))))) <=> ((number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))) = sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (~environment(E!2)) | (~subpopulation(efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | $false)),
% 0.46/0.59 inference(monotonicity,[status(thm)],[425])).
% 0.46/0.59 tff(427,plain,
% 0.46/0.59 (((number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))) = sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (~environment(E!2)) | (~subpopulation(efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~((efficient_producers = first_movers) | (efficient_producers = efficient_producers) | (~greater(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), zero))))) <=> ((~environment(E!2)) | (~subpopulation(efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))) = sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))))),
% 0.46/0.59 inference(transitivity,[status(thm)],[426, 418])).
% 0.46/0.59 tff(428,plain,
% 0.46/0.59 (((~![E: $i, X: $i, T: $i] : ((number_of_organizations(E, T) = sum(cardinality_at_time(first_movers, T), cardinality_at_time(efficient_producers, T))) | (~environment(E)) | (~subpopulation(X, E, T)) | (~((X = first_movers) | (X = efficient_producers) | (~greater(cardinality_at_time(X, T), zero)))))) | ((number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))) = sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (~environment(E!2)) | (~subpopulation(efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~((efficient_producers = first_movers) | (efficient_producers = efficient_producers) | (~greater(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), zero)))))) <=> ((~![E: $i, X: $i, T: $i] : ((number_of_organizations(E, T) = sum(cardinality_at_time(first_movers, T), cardinality_at_time(efficient_producers, T))) | (~environment(E)) | (~subpopulation(X, E, T)) | (~((X = first_movers) | (X = efficient_producers) | (~greater(cardinality_at_time(X, T), zero)))))) | ((~environment(E!2)) | (~subpopulation(efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))) = sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))))))),
% 0.46/0.59 inference(monotonicity,[status(thm)],[427])).
% 0.46/0.59 tff(429,plain,
% 0.46/0.59 (((~![E: $i, X: $i, T: $i] : ((number_of_organizations(E, T) = sum(cardinality_at_time(first_movers, T), cardinality_at_time(efficient_producers, T))) | (~environment(E)) | (~subpopulation(X, E, T)) | (~((X = first_movers) | (X = efficient_producers) | (~greater(cardinality_at_time(X, T), zero)))))) | ((number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))) = sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (~environment(E!2)) | (~subpopulation(efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~((efficient_producers = first_movers) | (efficient_producers = efficient_producers) | (~greater(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), zero)))))) <=> ((~![E: $i, X: $i, T: $i] : ((number_of_organizations(E, T) = sum(cardinality_at_time(first_movers, T), cardinality_at_time(efficient_producers, T))) | (~environment(E)) | (~subpopulation(X, E, T)) | (~((X = first_movers) | (X = efficient_producers) | (~greater(cardinality_at_time(X, T), zero)))))) | (~environment(E!2)) | (~subpopulation(efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))) = sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))))),
% 0.46/0.59 inference(transitivity,[status(thm)],[428, 417])).
% 0.46/0.59 tff(430,plain,
% 0.46/0.59 ((~![E: $i, X: $i, T: $i] : ((number_of_organizations(E, T) = sum(cardinality_at_time(first_movers, T), cardinality_at_time(efficient_producers, T))) | (~environment(E)) | (~subpopulation(X, E, T)) | (~((X = first_movers) | (X = efficient_producers) | (~greater(cardinality_at_time(X, T), zero)))))) | ((number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))) = sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (~environment(E!2)) | (~subpopulation(efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~((efficient_producers = first_movers) | (efficient_producers = efficient_producers) | (~greater(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), zero)))))),
% 0.46/0.59 inference(quant_inst,[status(thm)],[])).
% 0.46/0.59 tff(431,plain,
% 0.46/0.59 ((~![E: $i, X: $i, T: $i] : ((number_of_organizations(E, T) = sum(cardinality_at_time(first_movers, T), cardinality_at_time(efficient_producers, T))) | (~environment(E)) | (~subpopulation(X, E, T)) | (~((X = first_movers) | (X = efficient_producers) | (~greater(cardinality_at_time(X, T), zero)))))) | (~environment(E!2)) | (~subpopulation(efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))) = sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))))),
% 0.46/0.59 inference(modus_ponens,[status(thm)],[430, 429])).
% 0.46/0.59 tff(432,plain,
% 0.46/0.59 (number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))) = sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))),
% 0.46/0.59 inference(unit_resolution,[status(thm)],[431, 416, 41, 311])).
% 0.46/0.59 tff(433,plain,
% 0.46/0.59 (sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) = number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))),
% 0.46/0.59 inference(symmetry,[status(thm)],[432])).
% 0.46/0.59 tff(434,plain,
% 0.46/0.59 (constant(sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) <=> constant(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))),
% 0.46/0.59 inference(monotonicity,[status(thm)],[433])).
% 0.46/0.59 tff(435,plain,
% 0.46/0.59 (constant(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) <=> constant(sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))))),
% 0.46/0.59 inference(symmetry,[status(thm)],[434])).
% 0.46/0.59 tff(436,assumption,(constant(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))), introduced(assumption)).
% 0.46/0.59 tff(437,plain,
% 0.46/0.59 (constant(sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))))),
% 0.46/0.59 inference(modus_ponens,[status(thm)],[436, 435])).
% 0.46/0.59 tff(438,assumption,((~constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (~constant(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))))), introduced(assumption)).
% 0.46/0.59 tff(439,assumption,((~decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (~increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))))), introduced(assumption)).
% 0.46/0.59 tff(440,assumption,((~decreases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (~increases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))))), introduced(assumption)).
% 0.46/0.59 tff(441,plain,
% 0.46/0.59 (^[A: $i, B: $i, C: $i] : refl(((~((~decreases(B)) | (~increases(C)))) | (~((~increases(B)) | (~decreases(C)))) | (~((~constant(B)) | (~constant(C)))) | (~(A = sum(B, C))) | (~constant(A))) <=> ((~((~decreases(B)) | (~increases(C)))) | (~((~increases(B)) | (~decreases(C)))) | (~((~constant(B)) | (~constant(C)))) | (~(A = sum(B, C))) | (~constant(A))))),
% 0.46/0.59 inference(bind,[status(th)],[])).
% 0.46/0.59 tff(442,plain,
% 0.46/0.59 (![A: $i, B: $i, C: $i] : ((~((~decreases(B)) | (~increases(C)))) | (~((~increases(B)) | (~decreases(C)))) | (~((~constant(B)) | (~constant(C)))) | (~(A = sum(B, C))) | (~constant(A))) <=> ![A: $i, B: $i, C: $i] : ((~((~decreases(B)) | (~increases(C)))) | (~((~increases(B)) | (~decreases(C)))) | (~((~constant(B)) | (~constant(C)))) | (~(A = sum(B, C))) | (~constant(A)))),
% 0.46/0.59 inference(quant_intro,[status(thm)],[441])).
% 0.46/0.59 tff(443,plain,
% 0.46/0.59 (^[A: $i, B: $i, C: $i] : trans(monotonicity(rewrite((decreases(B) & increases(C)) <=> (~((~decreases(B)) | (~increases(C))))), rewrite((increases(B) & decreases(C)) <=> (~((~increases(B)) | (~decreases(C))))), rewrite((constant(B) & constant(C)) <=> (~((~constant(B)) | (~constant(C))))), trans(monotonicity(rewrite(((A = sum(B, C)) & constant(A)) <=> (~((~(A = sum(B, C))) | (~constant(A))))), ((~((A = sum(B, C)) & constant(A))) <=> (~(~((~(A = sum(B, C))) | (~constant(A))))))), rewrite((~(~((~(A = sum(B, C))) | (~constant(A))))) <=> ((~(A = sum(B, C))) | (~constant(A)))), ((~((A = sum(B, C)) & constant(A))) <=> ((~(A = sum(B, C))) | (~constant(A))))), (((decreases(B) & increases(C)) | (increases(B) & decreases(C)) | (constant(B) & constant(C)) | (~((A = sum(B, C)) & constant(A)))) <=> ((~((~decreases(B)) | (~increases(C)))) | (~((~increases(B)) | (~decreases(C)))) | (~((~constant(B)) | (~constant(C)))) | ((~(A = sum(B, C))) | (~constant(A)))))), rewrite(((~((~decreases(B)) | (~increases(C)))) | (~((~increases(B)) | (~decreases(C)))) | (~((~constant(B)) | (~constant(C)))) | ((~(A = sum(B, C))) | (~constant(A)))) <=> ((~((~decreases(B)) | (~increases(C)))) | (~((~increases(B)) | (~decreases(C)))) | (~((~constant(B)) | (~constant(C)))) | (~(A = sum(B, C))) | (~constant(A)))), (((decreases(B) & increases(C)) | (increases(B) & decreases(C)) | (constant(B) & constant(C)) | (~((A = sum(B, C)) & constant(A)))) <=> ((~((~decreases(B)) | (~increases(C)))) | (~((~increases(B)) | (~decreases(C)))) | (~((~constant(B)) | (~constant(C)))) | (~(A = sum(B, C))) | (~constant(A)))))),
% 0.46/0.59 inference(bind,[status(th)],[])).
% 0.46/0.59 tff(444,plain,
% 0.46/0.59 (![A: $i, B: $i, C: $i] : ((decreases(B) & increases(C)) | (increases(B) & decreases(C)) | (constant(B) & constant(C)) | (~((A = sum(B, C)) & constant(A)))) <=> ![A: $i, B: $i, C: $i] : ((~((~decreases(B)) | (~increases(C)))) | (~((~increases(B)) | (~decreases(C)))) | (~((~constant(B)) | (~constant(C)))) | (~(A = sum(B, C))) | (~constant(A)))),
% 0.46/0.59 inference(quant_intro,[status(thm)],[443])).
% 0.46/0.59 tff(445,plain,
% 0.46/0.59 (![A: $i, B: $i, C: $i] : ((decreases(B) & increases(C)) | (increases(B) & decreases(C)) | (constant(B) & constant(C)) | (~((A = sum(B, C)) & constant(A)))) <=> ![A: $i, B: $i, C: $i] : ((decreases(B) & increases(C)) | (increases(B) & decreases(C)) | (constant(B) & constant(C)) | (~((A = sum(B, C)) & constant(A))))),
% 0.46/0.59 inference(rewrite,[status(thm)],[])).
% 0.46/0.59 tff(446,plain,
% 0.46/0.59 (^[A: $i, B: $i, C: $i] : trans(monotonicity(rewrite((((constant(B) & constant(C)) | (increases(B) & decreases(C))) | (decreases(B) & increases(C))) <=> ((decreases(B) & increases(C)) | (increases(B) & decreases(C)) | (constant(B) & constant(C)))), ((((A = sum(B, C)) & constant(A)) => (((constant(B) & constant(C)) | (increases(B) & decreases(C))) | (decreases(B) & increases(C)))) <=> (((A = sum(B, C)) & constant(A)) => ((decreases(B) & increases(C)) | (increases(B) & decreases(C)) | (constant(B) & constant(C)))))), rewrite((((A = sum(B, C)) & constant(A)) => ((decreases(B) & increases(C)) | (increases(B) & decreases(C)) | (constant(B) & constant(C)))) <=> ((decreases(B) & increases(C)) | (increases(B) & decreases(C)) | (constant(B) & constant(C)) | (~((A = sum(B, C)) & constant(A))))), ((((A = sum(B, C)) & constant(A)) => (((constant(B) & constant(C)) | (increases(B) & decreases(C))) | (decreases(B) & increases(C)))) <=> ((decreases(B) & increases(C)) | (increases(B) & decreases(C)) | (constant(B) & constant(C)) | (~((A = sum(B, C)) & constant(A))))))),
% 0.46/0.60 inference(bind,[status(th)],[])).
% 0.46/0.60 tff(447,plain,
% 0.46/0.60 (![A: $i, B: $i, C: $i] : (((A = sum(B, C)) & constant(A)) => (((constant(B) & constant(C)) | (increases(B) & decreases(C))) | (decreases(B) & increases(C)))) <=> ![A: $i, B: $i, C: $i] : ((decreases(B) & increases(C)) | (increases(B) & decreases(C)) | (constant(B) & constant(C)) | (~((A = sum(B, C)) & constant(A))))),
% 0.46/0.60 inference(quant_intro,[status(thm)],[446])).
% 0.46/0.60 tff(448,axiom,(![A: $i, B: $i, C: $i] : (((A = sum(B, C)) & constant(A)) => (((constant(B) & constant(C)) | (increases(B) & decreases(C))) | (decreases(B) & increases(C))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','mp_abc_sum_increase')).
% 0.46/0.60 tff(449,plain,
% 0.46/0.60 (![A: $i, B: $i, C: $i] : ((decreases(B) & increases(C)) | (increases(B) & decreases(C)) | (constant(B) & constant(C)) | (~((A = sum(B, C)) & constant(A))))),
% 0.46/0.60 inference(modus_ponens,[status(thm)],[448, 447])).
% 0.46/0.60 tff(450,plain,
% 0.46/0.60 (![A: $i, B: $i, C: $i] : ((decreases(B) & increases(C)) | (increases(B) & decreases(C)) | (constant(B) & constant(C)) | (~((A = sum(B, C)) & constant(A))))),
% 0.46/0.60 inference(modus_ponens,[status(thm)],[449, 445])).
% 0.46/0.60 tff(451,plain,(
% 0.46/0.60 ![A: $i, B: $i, C: $i] : ((decreases(B) & increases(C)) | (increases(B) & decreases(C)) | (constant(B) & constant(C)) | (~((A = sum(B, C)) & constant(A))))),
% 0.46/0.60 inference(skolemize,[status(sab)],[450])).
% 0.46/0.60 tff(452,plain,
% 0.46/0.60 (![A: $i, B: $i, C: $i] : ((~((~decreases(B)) | (~increases(C)))) | (~((~increases(B)) | (~decreases(C)))) | (~((~constant(B)) | (~constant(C)))) | (~(A = sum(B, C))) | (~constant(A)))),
% 0.46/0.60 inference(modus_ponens,[status(thm)],[451, 444])).
% 0.46/0.60 tff(453,plain,
% 0.46/0.60 (![A: $i, B: $i, C: $i] : ((~((~decreases(B)) | (~increases(C)))) | (~((~increases(B)) | (~decreases(C)))) | (~((~constant(B)) | (~constant(C)))) | (~(A = sum(B, C))) | (~constant(A)))),
% 0.46/0.60 inference(modus_ponens,[status(thm)],[452, 442])).
% 0.46/0.60 tff(454,plain,
% 0.46/0.60 (((~![A: $i, B: $i, C: $i] : ((~((~decreases(B)) | (~increases(C)))) | (~((~increases(B)) | (~decreases(C)))) | (~((~constant(B)) | (~constant(C)))) | (~(A = sum(B, C))) | (~constant(A)))) | ((~((~decreases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (~increases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))))) | (~((~decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (~increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))))) | (~((~constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (~constant(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))))) | (~constant(sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))))))) <=> ((~![A: $i, B: $i, C: $i] : ((~((~decreases(B)) | (~increases(C)))) | (~((~increases(B)) | (~decreases(C)))) | (~((~constant(B)) | (~constant(C)))) | (~(A = sum(B, C))) | (~constant(A)))) | (~((~decreases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (~increases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))))) | (~((~decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (~increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))))) | (~((~constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (~constant(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))))) | (~constant(sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))))))),
% 0.46/0.60 inference(rewrite,[status(thm)],[])).
% 0.46/0.60 tff(455,plain,
% 0.46/0.60 (((~((~decreases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (~increases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))))) | (~((~decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (~increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))))) | (~((~constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (~constant(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))))) | $false | (~constant(sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))))) <=> ((~((~decreases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (~increases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))))) | (~((~decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (~increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))))) | (~((~constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (~constant(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))))) | (~constant(sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))))))),
% 0.46/0.60 inference(rewrite,[status(thm)],[])).
% 0.46/0.60 tff(456,plain,
% 0.46/0.60 ((sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) = sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) <=> $true),
% 0.46/0.60 inference(rewrite,[status(thm)],[])).
% 0.46/0.60 tff(457,plain,
% 0.46/0.60 ((~(sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) = sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))))) <=> (~$true)),
% 0.46/0.60 inference(monotonicity,[status(thm)],[456])).
% 0.46/0.60 tff(458,plain,
% 0.46/0.60 ((~(sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) = sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))))) <=> $false),
% 0.46/0.60 inference(transitivity,[status(thm)],[457, 419])).
% 0.46/0.60 tff(459,plain,
% 0.46/0.60 ((~((~constant(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (~constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))))) <=> (~((~constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (~constant(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))))))),
% 0.46/0.60 inference(rewrite,[status(thm)],[])).
% 0.46/0.60 tff(460,plain,
% 0.46/0.60 ((~((~increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (~decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))))) <=> (~((~decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (~increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))))))),
% 0.46/0.60 inference(rewrite,[status(thm)],[])).
% 0.46/0.60 tff(461,plain,
% 0.46/0.60 (((~((~decreases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (~increases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))))) | (~((~increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (~decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))))) | (~((~constant(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (~constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))))) | (~(sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) = sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))))) | (~constant(sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))))) <=> ((~((~decreases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (~increases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))))) | (~((~decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (~increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))))) | (~((~constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (~constant(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))))) | $false | (~constant(sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))))))),
% 0.46/0.60 inference(monotonicity,[status(thm)],[460, 459, 458])).
% 0.46/0.60 tff(462,plain,
% 0.46/0.60 (((~((~decreases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (~increases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))))) | (~((~increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (~decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))))) | (~((~constant(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (~constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))))) | (~(sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) = sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))))) | (~constant(sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))))) <=> ((~((~decreases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (~increases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))))) | (~((~decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (~increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))))) | (~((~constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (~constant(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))))) | (~constant(sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))))))),
% 0.46/0.60 inference(transitivity,[status(thm)],[461, 455])).
% 0.46/0.60 tff(463,plain,
% 0.46/0.60 (((~![A: $i, B: $i, C: $i] : ((~((~decreases(B)) | (~increases(C)))) | (~((~increases(B)) | (~decreases(C)))) | (~((~constant(B)) | (~constant(C)))) | (~(A = sum(B, C))) | (~constant(A)))) | ((~((~decreases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (~increases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))))) | (~((~increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (~decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))))) | (~((~constant(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (~constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))))) | (~(sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) = sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))))) | (~constant(sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))))))) <=> ((~![A: $i, B: $i, C: $i] : ((~((~decreases(B)) | (~increases(C)))) | (~((~increases(B)) | (~decreases(C)))) | (~((~constant(B)) | (~constant(C)))) | (~(A = sum(B, C))) | (~constant(A)))) | ((~((~decreases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (~increases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))))) | (~((~decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (~increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))))) | (~((~constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (~constant(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))))) | (~constant(sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))))))),
% 0.46/0.60 inference(monotonicity,[status(thm)],[462])).
% 0.46/0.60 tff(464,plain,
% 0.46/0.60 (((~![A: $i, B: $i, C: $i] : ((~((~decreases(B)) | (~increases(C)))) | (~((~increases(B)) | (~decreases(C)))) | (~((~constant(B)) | (~constant(C)))) | (~(A = sum(B, C))) | (~constant(A)))) | ((~((~decreases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (~increases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))))) | (~((~increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (~decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))))) | (~((~constant(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (~constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))))) | (~(sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) = sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))))) | (~constant(sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))))))) <=> ((~![A: $i, B: $i, C: $i] : ((~((~decreases(B)) | (~increases(C)))) | (~((~increases(B)) | (~decreases(C)))) | (~((~constant(B)) | (~constant(C)))) | (~(A = sum(B, C))) | (~constant(A)))) | (~((~decreases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (~increases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))))) | (~((~decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (~increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))))) | (~((~constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (~constant(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))))) | (~constant(sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))))))),
% 0.46/0.60 inference(transitivity,[status(thm)],[463, 454])).
% 0.46/0.60 tff(465,plain,
% 0.46/0.60 ((~![A: $i, B: $i, C: $i] : ((~((~decreases(B)) | (~increases(C)))) | (~((~increases(B)) | (~decreases(C)))) | (~((~constant(B)) | (~constant(C)))) | (~(A = sum(B, C))) | (~constant(A)))) | ((~((~decreases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (~increases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))))) | (~((~increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (~decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))))) | (~((~constant(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (~constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))))) | (~(sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) = sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))))) | (~constant(sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))))))),
% 0.46/0.60 inference(quant_inst,[status(thm)],[])).
% 0.46/0.60 tff(466,plain,
% 0.46/0.60 ((~![A: $i, B: $i, C: $i] : ((~((~decreases(B)) | (~increases(C)))) | (~((~increases(B)) | (~decreases(C)))) | (~((~constant(B)) | (~constant(C)))) | (~(A = sum(B, C))) | (~constant(A)))) | (~((~decreases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (~increases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))))) | (~((~decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (~increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))))) | (~((~constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (~constant(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))))) | (~constant(sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))))),
% 0.46/0.60 inference(modus_ponens,[status(thm)],[465, 464])).
% 0.46/0.60 tff(467,plain,
% 0.46/0.60 (~constant(sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))))),
% 0.46/0.60 inference(unit_resolution,[status(thm)],[466, 453, 440, 439, 438])).
% 0.46/0.60 tff(468,plain,
% 0.46/0.60 ($false),
% 0.46/0.60 inference(unit_resolution,[status(thm)],[467, 437])).
% 0.46/0.60 tff(469,plain,((~constant(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (~((~decreases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (~increases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))))) | (~((~decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (~increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))))) | (~((~constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (~constant(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))))))), inference(lemma,lemma(discharge,[]))).
% 0.46/0.61 tff(470,plain,
% 0.46/0.61 ((~constant(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (~((~decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (~increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))))) | (~((~constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (~constant(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))))))),
% 0.46/0.61 inference(unit_resolution,[status(thm)],[469, 403])).
% 0.46/0.61 tff(471,plain,
% 0.46/0.61 (~constant(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))),
% 0.46/0.61 inference(unit_resolution,[status(thm)],[470, 383, 331])).
% 0.46/0.61 tff(472,plain,
% 0.46/0.61 (^[E: $i, T: $i] : refl(((~environment(E)) | (~in_environment(E, T)) | (~((~((~decreases(number_of_organizations(E, T))) | (~decreases(resources(E, T))))) | (~(constant(number_of_organizations(E, T)) | (~constant(resources(E, T)))))))) <=> ((~environment(E)) | (~in_environment(E, T)) | (~((~((~decreases(number_of_organizations(E, T))) | (~decreases(resources(E, T))))) | (~(constant(number_of_organizations(E, T)) | (~constant(resources(E, T)))))))))),
% 0.46/0.61 inference(bind,[status(th)],[])).
% 0.46/0.61 tff(473,plain,
% 0.46/0.61 (![E: $i, T: $i] : ((~environment(E)) | (~in_environment(E, T)) | (~((~((~decreases(number_of_organizations(E, T))) | (~decreases(resources(E, T))))) | (~(constant(number_of_organizations(E, T)) | (~constant(resources(E, T)))))))) <=> ![E: $i, T: $i] : ((~environment(E)) | (~in_environment(E, T)) | (~((~((~decreases(number_of_organizations(E, T))) | (~decreases(resources(E, T))))) | (~(constant(number_of_organizations(E, T)) | (~constant(resources(E, T))))))))),
% 0.46/0.61 inference(quant_intro,[status(thm)],[472])).
% 0.46/0.61 tff(474,plain,
% 0.46/0.61 (^[E: $i, T: $i] : trans(monotonicity(trans(monotonicity(rewrite((environment(E) & in_environment(E, T)) <=> (~((~environment(E)) | (~in_environment(E, T))))), ((~(environment(E) & in_environment(E, T))) <=> (~(~((~environment(E)) | (~in_environment(E, T))))))), rewrite((~(~((~environment(E)) | (~in_environment(E, T))))) <=> ((~environment(E)) | (~in_environment(E, T)))), ((~(environment(E) & in_environment(E, T))) <=> ((~environment(E)) | (~in_environment(E, T))))), rewrite((((~decreases(number_of_organizations(E, T))) | (~decreases(resources(E, T)))) & (constant(number_of_organizations(E, T)) | (~constant(resources(E, T))))) <=> (~((~((~decreases(number_of_organizations(E, T))) | (~decreases(resources(E, T))))) | (~(constant(number_of_organizations(E, T)) | (~constant(resources(E, T)))))))), (((~(environment(E) & in_environment(E, T))) | (((~decreases(number_of_organizations(E, T))) | (~decreases(resources(E, T)))) & (constant(number_of_organizations(E, T)) | (~constant(resources(E, T)))))) <=> (((~environment(E)) | (~in_environment(E, T))) | (~((~((~decreases(number_of_organizations(E, T))) | (~decreases(resources(E, T))))) | (~(constant(number_of_organizations(E, T)) | (~constant(resources(E, T)))))))))), rewrite((((~environment(E)) | (~in_environment(E, T))) | (~((~((~decreases(number_of_organizations(E, T))) | (~decreases(resources(E, T))))) | (~(constant(number_of_organizations(E, T)) | (~constant(resources(E, T)))))))) <=> ((~environment(E)) | (~in_environment(E, T)) | (~((~((~decreases(number_of_organizations(E, T))) | (~decreases(resources(E, T))))) | (~(constant(number_of_organizations(E, T)) | (~constant(resources(E, T))))))))), (((~(environment(E) & in_environment(E, T))) | (((~decreases(number_of_organizations(E, T))) | (~decreases(resources(E, T)))) & (constant(number_of_organizations(E, T)) | (~constant(resources(E, T)))))) <=> ((~environment(E)) | (~in_environment(E, T)) | (~((~((~decreases(number_of_organizations(E, T))) | (~decreases(resources(E, T))))) | (~(constant(number_of_organizations(E, T)) | (~constant(resources(E, T))))))))))),
% 0.46/0.61 inference(bind,[status(th)],[])).
% 0.46/0.61 tff(475,plain,
% 0.46/0.61 (![E: $i, T: $i] : ((~(environment(E) & in_environment(E, T))) | (((~decreases(number_of_organizations(E, T))) | (~decreases(resources(E, T)))) & (constant(number_of_organizations(E, T)) | (~constant(resources(E, T)))))) <=> ![E: $i, T: $i] : ((~environment(E)) | (~in_environment(E, T)) | (~((~((~decreases(number_of_organizations(E, T))) | (~decreases(resources(E, T))))) | (~(constant(number_of_organizations(E, T)) | (~constant(resources(E, T))))))))),
% 0.46/0.61 inference(quant_intro,[status(thm)],[474])).
% 0.46/0.61 tff(476,plain,
% 0.46/0.61 (![E: $i, T: $i] : ((~(environment(E) & in_environment(E, T))) | (((~decreases(number_of_organizations(E, T))) | (~decreases(resources(E, T)))) & (constant(number_of_organizations(E, T)) | (~constant(resources(E, T)))))) <=> ![E: $i, T: $i] : ((~(environment(E) & in_environment(E, T))) | (((~decreases(number_of_organizations(E, T))) | (~decreases(resources(E, T)))) & (constant(number_of_organizations(E, T)) | (~constant(resources(E, T))))))),
% 0.46/0.61 inference(rewrite,[status(thm)],[])).
% 0.46/0.61 tff(477,plain,
% 0.46/0.61 (^[E: $i, T: $i] : trans(monotonicity(rewrite(((decreases(resources(E, T)) => (~decreases(number_of_organizations(E, T)))) & (constant(resources(E, T)) => constant(number_of_organizations(E, T)))) <=> (((~decreases(number_of_organizations(E, T))) | (~decreases(resources(E, T)))) & (constant(number_of_organizations(E, T)) | (~constant(resources(E, T)))))), (((environment(E) & in_environment(E, T)) => ((decreases(resources(E, T)) => (~decreases(number_of_organizations(E, T)))) & (constant(resources(E, T)) => constant(number_of_organizations(E, T))))) <=> ((environment(E) & in_environment(E, T)) => (((~decreases(number_of_organizations(E, T))) | (~decreases(resources(E, T)))) & (constant(number_of_organizations(E, T)) | (~constant(resources(E, T)))))))), rewrite(((environment(E) & in_environment(E, T)) => (((~decreases(number_of_organizations(E, T))) | (~decreases(resources(E, T)))) & (constant(number_of_organizations(E, T)) | (~constant(resources(E, T)))))) <=> ((~(environment(E) & in_environment(E, T))) | (((~decreases(number_of_organizations(E, T))) | (~decreases(resources(E, T)))) & (constant(number_of_organizations(E, T)) | (~constant(resources(E, T))))))), (((environment(E) & in_environment(E, T)) => ((decreases(resources(E, T)) => (~decreases(number_of_organizations(E, T)))) & (constant(resources(E, T)) => constant(number_of_organizations(E, T))))) <=> ((~(environment(E) & in_environment(E, T))) | (((~decreases(number_of_organizations(E, T))) | (~decreases(resources(E, T)))) & (constant(number_of_organizations(E, T)) | (~constant(resources(E, T))))))))),
% 0.46/0.61 inference(bind,[status(th)],[])).
% 0.46/0.61 tff(478,plain,
% 0.46/0.61 (![E: $i, T: $i] : ((environment(E) & in_environment(E, T)) => ((decreases(resources(E, T)) => (~decreases(number_of_organizations(E, T)))) & (constant(resources(E, T)) => constant(number_of_organizations(E, T))))) <=> ![E: $i, T: $i] : ((~(environment(E) & in_environment(E, T))) | (((~decreases(number_of_organizations(E, T))) | (~decreases(resources(E, T)))) & (constant(number_of_organizations(E, T)) | (~constant(resources(E, T))))))),
% 0.46/0.61 inference(quant_intro,[status(thm)],[477])).
% 0.46/0.61 tff(479,axiom,(![E: $i, T: $i] : ((environment(E) & in_environment(E, T)) => ((decreases(resources(E, T)) => (~decreases(number_of_organizations(E, T)))) & (constant(resources(E, T)) => constant(number_of_organizations(E, T)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','a7')).
% 0.46/0.61 tff(480,plain,
% 0.46/0.61 (![E: $i, T: $i] : ((~(environment(E) & in_environment(E, T))) | (((~decreases(number_of_organizations(E, T))) | (~decreases(resources(E, T)))) & (constant(number_of_organizations(E, T)) | (~constant(resources(E, T))))))),
% 0.46/0.61 inference(modus_ponens,[status(thm)],[479, 478])).
% 0.46/0.61 tff(481,plain,
% 0.46/0.61 (![E: $i, T: $i] : ((~(environment(E) & in_environment(E, T))) | (((~decreases(number_of_organizations(E, T))) | (~decreases(resources(E, T)))) & (constant(number_of_organizations(E, T)) | (~constant(resources(E, T))))))),
% 0.46/0.61 inference(modus_ponens,[status(thm)],[480, 476])).
% 0.46/0.61 tff(482,plain,(
% 0.46/0.61 ![E: $i, T: $i] : ((~(environment(E) & in_environment(E, T))) | (((~decreases(number_of_organizations(E, T))) | (~decreases(resources(E, T)))) & (constant(number_of_organizations(E, T)) | (~constant(resources(E, T))))))),
% 0.46/0.61 inference(skolemize,[status(sab)],[481])).
% 0.46/0.61 tff(483,plain,
% 0.46/0.61 (![E: $i, T: $i] : ((~environment(E)) | (~in_environment(E, T)) | (~((~((~decreases(number_of_organizations(E, T))) | (~decreases(resources(E, T))))) | (~(constant(number_of_organizations(E, T)) | (~constant(resources(E, T))))))))),
% 0.46/0.61 inference(modus_ponens,[status(thm)],[482, 475])).
% 0.46/0.61 tff(484,plain,
% 0.46/0.61 (![E: $i, T: $i] : ((~environment(E)) | (~in_environment(E, T)) | (~((~((~decreases(number_of_organizations(E, T))) | (~decreases(resources(E, T))))) | (~(constant(number_of_organizations(E, T)) | (~constant(resources(E, T))))))))),
% 0.46/0.61 inference(modus_ponens,[status(thm)],[483, 473])).
% 0.46/0.61 tff(485,plain,
% 0.46/0.61 (((~![E: $i, T: $i] : ((~environment(E)) | (~in_environment(E, T)) | (~((~((~decreases(number_of_organizations(E, T))) | (~decreases(resources(E, T))))) | (~(constant(number_of_organizations(E, T)) | (~constant(resources(E, T))))))))) | ((~environment(E!2)) | (~in_environment(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~((~((~decreases(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (~decreases(resources(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))))) | (~(constant(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~constant(resources(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))))))))) <=> ((~![E: $i, T: $i] : ((~environment(E)) | (~in_environment(E, T)) | (~((~((~decreases(number_of_organizations(E, T))) | (~decreases(resources(E, T))))) | (~(constant(number_of_organizations(E, T)) | (~constant(resources(E, T))))))))) | (~environment(E!2)) | (~in_environment(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~((~((~decreases(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (~decreases(resources(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))))) | (~(constant(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~constant(resources(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))))))))),
% 0.46/0.61 inference(rewrite,[status(thm)],[])).
% 0.46/0.61 tff(486,plain,
% 0.46/0.61 ((~![E: $i, T: $i] : ((~environment(E)) | (~in_environment(E, T)) | (~((~((~decreases(number_of_organizations(E, T))) | (~decreases(resources(E, T))))) | (~(constant(number_of_organizations(E, T)) | (~constant(resources(E, T))))))))) | ((~environment(E!2)) | (~in_environment(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~((~((~decreases(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (~decreases(resources(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))))) | (~(constant(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~constant(resources(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))))))))),
% 0.46/0.61 inference(quant_inst,[status(thm)],[])).
% 0.46/0.61 tff(487,plain,
% 0.46/0.61 ((~![E: $i, T: $i] : ((~environment(E)) | (~in_environment(E, T)) | (~((~((~decreases(number_of_organizations(E, T))) | (~decreases(resources(E, T))))) | (~(constant(number_of_organizations(E, T)) | (~constant(resources(E, T))))))))) | (~environment(E!2)) | (~in_environment(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~((~((~decreases(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (~decreases(resources(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))))) | (~(constant(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~constant(resources(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))))))))),
% 0.46/0.61 inference(modus_ponens,[status(thm)],[486, 485])).
% 0.46/0.61 tff(488,plain,
% 0.46/0.61 (~((~((~decreases(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (~decreases(resources(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))))) | (~(constant(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~constant(resources(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))))))),
% 0.46/0.61 inference(unit_resolution,[status(thm)],[487, 484, 41, 109])).
% 0.46/0.61 tff(489,plain,
% 0.46/0.61 (((~((~decreases(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (~decreases(resources(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))))) | (~(constant(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~constant(resources(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))))))) | (constant(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~constant(resources(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))))),
% 0.46/0.61 inference(tautology,[status(thm)],[])).
% 0.46/0.61 tff(490,plain,
% 0.46/0.61 (constant(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~constant(resources(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))))),
% 0.46/0.61 inference(unit_resolution,[status(thm)],[489, 488])).
% 0.46/0.61 tff(491,plain,
% 0.46/0.61 ((~(constant(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~constant(resources(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))))) | constant(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~constant(resources(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))))),
% 0.46/0.61 inference(tautology,[status(thm)],[])).
% 0.46/0.61 tff(492,plain,
% 0.46/0.61 (constant(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~constant(resources(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))))),
% 0.46/0.61 inference(unit_resolution,[status(thm)],[491, 490])).
% 0.46/0.61 tff(493,plain,
% 0.46/0.61 (~constant(resources(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))),
% 0.46/0.61 inference(unit_resolution,[status(thm)],[492, 471])).
% 0.46/0.61 tff(494,plain,
% 0.46/0.61 (^[E: $i, T: $i] : refl((greater(number_of_organizations(E, T), zero) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T))) <=> (greater(number_of_organizations(E, T), zero) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T))))),
% 0.46/0.61 inference(bind,[status(th)],[])).
% 0.46/0.61 tff(495,plain,
% 0.46/0.61 (![E: $i, T: $i] : (greater(number_of_organizations(E, T), zero) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T))) <=> ![E: $i, T: $i] : (greater(number_of_organizations(E, T), zero) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)))),
% 0.46/0.61 inference(quant_intro,[status(thm)],[494])).
% 0.46/0.61 tff(496,plain,
% 0.46/0.61 (^[E: $i, T: $i] : trans(monotonicity(trans(monotonicity(rewrite((environment(E) & subpopulations(first_movers, efficient_producers, E, T)) <=> (~((~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T))))), ((~(environment(E) & subpopulations(first_movers, efficient_producers, E, T))) <=> (~(~((~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T))))))), rewrite((~(~((~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T))))) <=> ((~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)))), ((~(environment(E) & subpopulations(first_movers, efficient_producers, E, T))) <=> ((~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T))))), (((~(environment(E) & subpopulations(first_movers, efficient_producers, E, T))) | greater(number_of_organizations(E, T), zero)) <=> (((~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T))) | greater(number_of_organizations(E, T), zero)))), rewrite((((~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T))) | greater(number_of_organizations(E, T), zero)) <=> (greater(number_of_organizations(E, T), zero) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)))), (((~(environment(E) & subpopulations(first_movers, efficient_producers, E, T))) | greater(number_of_organizations(E, T), zero)) <=> (greater(number_of_organizations(E, T), zero) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)))))),
% 0.46/0.61 inference(bind,[status(th)],[])).
% 0.46/0.61 tff(497,plain,
% 0.46/0.61 (![E: $i, T: $i] : ((~(environment(E) & subpopulations(first_movers, efficient_producers, E, T))) | greater(number_of_organizations(E, T), zero)) <=> ![E: $i, T: $i] : (greater(number_of_organizations(E, T), zero) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)))),
% 0.46/0.61 inference(quant_intro,[status(thm)],[496])).
% 0.46/0.61 tff(498,plain,
% 0.46/0.61 (![E: $i, T: $i] : ((~(environment(E) & subpopulations(first_movers, efficient_producers, E, T))) | greater(number_of_organizations(E, T), zero)) <=> ![E: $i, T: $i] : ((~(environment(E) & subpopulations(first_movers, efficient_producers, E, T))) | greater(number_of_organizations(E, T), zero))),
% 0.46/0.61 inference(rewrite,[status(thm)],[])).
% 0.46/0.61 tff(499,plain,
% 0.46/0.61 (^[E: $i, T: $i] : rewrite(((environment(E) & subpopulations(first_movers, efficient_producers, E, T)) => greater(number_of_organizations(E, T), zero)) <=> ((~(environment(E) & subpopulations(first_movers, efficient_producers, E, T))) | greater(number_of_organizations(E, T), zero)))),
% 0.46/0.61 inference(bind,[status(th)],[])).
% 0.46/0.61 tff(500,plain,
% 0.46/0.61 (![E: $i, T: $i] : ((environment(E) & subpopulations(first_movers, efficient_producers, E, T)) => greater(number_of_organizations(E, T), zero)) <=> ![E: $i, T: $i] : ((~(environment(E) & subpopulations(first_movers, efficient_producers, E, T))) | greater(number_of_organizations(E, T), zero))),
% 0.46/0.61 inference(quant_intro,[status(thm)],[499])).
% 0.46/0.61 tff(501,axiom,(![E: $i, T: $i] : ((environment(E) & subpopulations(first_movers, efficient_producers, E, T)) => greater(number_of_organizations(E, T), zero))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','mp_environment_not_empty')).
% 0.46/0.61 tff(502,plain,
% 0.46/0.61 (![E: $i, T: $i] : ((~(environment(E) & subpopulations(first_movers, efficient_producers, E, T))) | greater(number_of_organizations(E, T), zero))),
% 0.46/0.61 inference(modus_ponens,[status(thm)],[501, 500])).
% 0.46/0.61 tff(503,plain,
% 0.46/0.61 (![E: $i, T: $i] : ((~(environment(E) & subpopulations(first_movers, efficient_producers, E, T))) | greater(number_of_organizations(E, T), zero))),
% 0.46/0.61 inference(modus_ponens,[status(thm)],[502, 498])).
% 0.46/0.61 tff(504,plain,(
% 0.46/0.61 ![E: $i, T: $i] : ((~(environment(E) & subpopulations(first_movers, efficient_producers, E, T))) | greater(number_of_organizations(E, T), zero))),
% 0.46/0.61 inference(skolemize,[status(sab)],[503])).
% 0.46/0.61 tff(505,plain,
% 0.46/0.61 (![E: $i, T: $i] : (greater(number_of_organizations(E, T), zero) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)))),
% 0.46/0.61 inference(modus_ponens,[status(thm)],[504, 497])).
% 0.46/0.61 tff(506,plain,
% 0.46/0.61 (![E: $i, T: $i] : (greater(number_of_organizations(E, T), zero) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)))),
% 0.46/0.61 inference(modus_ponens,[status(thm)],[505, 495])).
% 0.46/0.61 tff(507,plain,
% 0.46/0.61 (((~![E: $i, T: $i] : (greater(number_of_organizations(E, T), zero) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)))) | ((~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | greater(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), zero))) <=> ((~![E: $i, T: $i] : (greater(number_of_organizations(E, T), zero) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)))) | (~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | greater(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), zero))),
% 0.46/0.61 inference(rewrite,[status(thm)],[])).
% 0.46/0.61 tff(508,plain,
% 0.46/0.61 ((greater(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), zero) | (~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) <=> ((~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | greater(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), zero))),
% 0.46/0.62 inference(rewrite,[status(thm)],[])).
% 0.46/0.62 tff(509,plain,
% 0.46/0.62 (((~![E: $i, T: $i] : (greater(number_of_organizations(E, T), zero) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)))) | (greater(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), zero) | (~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))))) <=> ((~![E: $i, T: $i] : (greater(number_of_organizations(E, T), zero) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)))) | ((~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | greater(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), zero)))),
% 0.46/0.62 inference(monotonicity,[status(thm)],[508])).
% 0.46/0.62 tff(510,plain,
% 0.46/0.62 (((~![E: $i, T: $i] : (greater(number_of_organizations(E, T), zero) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)))) | (greater(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), zero) | (~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))))) <=> ((~![E: $i, T: $i] : (greater(number_of_organizations(E, T), zero) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)))) | (~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | greater(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), zero))),
% 0.46/0.62 inference(transitivity,[status(thm)],[509, 507])).
% 0.46/0.62 tff(511,plain,
% 0.46/0.62 ((~![E: $i, T: $i] : (greater(number_of_organizations(E, T), zero) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)))) | (greater(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), zero) | (~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))))),
% 0.46/0.62 inference(quant_inst,[status(thm)],[])).
% 0.46/0.62 tff(512,plain,
% 0.46/0.62 ((~![E: $i, T: $i] : (greater(number_of_organizations(E, T), zero) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)))) | (~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | greater(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), zero)),
% 0.46/0.62 inference(modus_ponens,[status(thm)],[511, 510])).
% 0.46/0.62 tff(513,plain,
% 0.46/0.62 (greater(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), zero)),
% 0.46/0.62 inference(unit_resolution,[status(thm)],[512, 506, 41, 102])).
% 0.46/0.62 tff(514,plain,
% 0.46/0.62 (^[E: $i, T: $i] : refl(((~environment(E)) | (~in_environment(E, T)) | (~greater(number_of_organizations(E, T), zero)) | (~((~((~greater(equilibrium(E), T)) | decreases(resources(E, T)))) | (~(greater(equilibrium(E), T) | constant(resources(E, T))))))) <=> ((~environment(E)) | (~in_environment(E, T)) | (~greater(number_of_organizations(E, T), zero)) | (~((~((~greater(equilibrium(E), T)) | decreases(resources(E, T)))) | (~(greater(equilibrium(E), T) | constant(resources(E, T))))))))),
% 0.46/0.62 inference(bind,[status(th)],[])).
% 0.46/0.62 tff(515,plain,
% 0.46/0.62 (![E: $i, T: $i] : ((~environment(E)) | (~in_environment(E, T)) | (~greater(number_of_organizations(E, T), zero)) | (~((~((~greater(equilibrium(E), T)) | decreases(resources(E, T)))) | (~(greater(equilibrium(E), T) | constant(resources(E, T))))))) <=> ![E: $i, T: $i] : ((~environment(E)) | (~in_environment(E, T)) | (~greater(number_of_organizations(E, T), zero)) | (~((~((~greater(equilibrium(E), T)) | decreases(resources(E, T)))) | (~(greater(equilibrium(E), T) | constant(resources(E, T)))))))),
% 0.46/0.62 inference(quant_intro,[status(thm)],[514])).
% 0.46/0.62 tff(516,plain,
% 0.46/0.62 (^[E: $i, T: $i] : trans(monotonicity(trans(monotonicity(rewrite((environment(E) & in_environment(E, T) & greater(number_of_organizations(E, T), zero)) <=> (~((~environment(E)) | (~in_environment(E, T)) | (~greater(number_of_organizations(E, T), zero))))), ((~(environment(E) & in_environment(E, T) & greater(number_of_organizations(E, T), zero))) <=> (~(~((~environment(E)) | (~in_environment(E, T)) | (~greater(number_of_organizations(E, T), zero))))))), rewrite((~(~((~environment(E)) | (~in_environment(E, T)) | (~greater(number_of_organizations(E, T), zero))))) <=> ((~environment(E)) | (~in_environment(E, T)) | (~greater(number_of_organizations(E, T), zero)))), ((~(environment(E) & in_environment(E, T) & greater(number_of_organizations(E, T), zero))) <=> ((~environment(E)) | (~in_environment(E, T)) | (~greater(number_of_organizations(E, T), zero))))), trans(monotonicity(rewrite(((~greater(equilibrium(E), T)) | decreases(resources(E, T))) <=> ((~greater(equilibrium(E), T)) | decreases(resources(E, T)))), rewrite((greater(equilibrium(E), T) | constant(resources(E, T))) <=> (greater(equilibrium(E), T) | constant(resources(E, T)))), ((((~greater(equilibrium(E), T)) | decreases(resources(E, T))) & (greater(equilibrium(E), T) | constant(resources(E, T)))) <=> (((~greater(equilibrium(E), T)) | decreases(resources(E, T))) & (greater(equilibrium(E), T) | constant(resources(E, T)))))), rewrite((((~greater(equilibrium(E), T)) | decreases(resources(E, T))) & (greater(equilibrium(E), T) | constant(resources(E, T)))) <=> (~((~((~greater(equilibrium(E), T)) | decreases(resources(E, T)))) | (~(greater(equilibrium(E), T) | constant(resources(E, T))))))), ((((~greater(equilibrium(E), T)) | decreases(resources(E, T))) & (greater(equilibrium(E), T) | constant(resources(E, T)))) <=> (~((~((~greater(equilibrium(E), T)) | decreases(resources(E, T)))) | (~(greater(equilibrium(E), T) | constant(resources(E, T)))))))), (((~(environment(E) & in_environment(E, T) & greater(number_of_organizations(E, T), zero))) | (((~greater(equilibrium(E), T)) | decreases(resources(E, T))) & (greater(equilibrium(E), T) | constant(resources(E, T))))) <=> (((~environment(E)) | (~in_environment(E, T)) | (~greater(number_of_organizations(E, T), zero))) | (~((~((~greater(equilibrium(E), T)) | decreases(resources(E, T)))) | (~(greater(equilibrium(E), T) | constant(resources(E, T))))))))), rewrite((((~environment(E)) | (~in_environment(E, T)) | (~greater(number_of_organizations(E, T), zero))) | (~((~((~greater(equilibrium(E), T)) | decreases(resources(E, T)))) | (~(greater(equilibrium(E), T) | constant(resources(E, T))))))) <=> ((~environment(E)) | (~in_environment(E, T)) | (~greater(number_of_organizations(E, T), zero)) | (~((~((~greater(equilibrium(E), T)) | decreases(resources(E, T)))) | (~(greater(equilibrium(E), T) | constant(resources(E, T)))))))), (((~(environment(E) & in_environment(E, T) & greater(number_of_organizations(E, T), zero))) | (((~greater(equilibrium(E), T)) | decreases(resources(E, T))) & (greater(equilibrium(E), T) | constant(resources(E, T))))) <=> ((~environment(E)) | (~in_environment(E, T)) | (~greater(number_of_organizations(E, T), zero)) | (~((~((~greater(equilibrium(E), T)) | decreases(resources(E, T)))) | (~(greater(equilibrium(E), T) | constant(resources(E, T)))))))))),
% 0.46/0.62 inference(bind,[status(th)],[])).
% 0.46/0.62 tff(517,plain,
% 0.46/0.62 (![E: $i, T: $i] : ((~(environment(E) & in_environment(E, T) & greater(number_of_organizations(E, T), zero))) | (((~greater(equilibrium(E), T)) | decreases(resources(E, T))) & (greater(equilibrium(E), T) | constant(resources(E, T))))) <=> ![E: $i, T: $i] : ((~environment(E)) | (~in_environment(E, T)) | (~greater(number_of_organizations(E, T), zero)) | (~((~((~greater(equilibrium(E), T)) | decreases(resources(E, T)))) | (~(greater(equilibrium(E), T) | constant(resources(E, T)))))))),
% 0.46/0.62 inference(quant_intro,[status(thm)],[516])).
% 0.46/0.62 tff(518,plain,
% 0.46/0.62 (![E: $i, T: $i] : ((~(environment(E) & in_environment(E, T) & greater(number_of_organizations(E, T), zero))) | (((~greater(equilibrium(E), T)) | decreases(resources(E, T))) & (greater(equilibrium(E), T) | constant(resources(E, T))))) <=> ![E: $i, T: $i] : ((~(environment(E) & in_environment(E, T) & greater(number_of_organizations(E, T), zero))) | (((~greater(equilibrium(E), T)) | decreases(resources(E, T))) & (greater(equilibrium(E), T) | constant(resources(E, T)))))),
% 0.46/0.62 inference(rewrite,[status(thm)],[])).
% 0.46/0.62 tff(519,plain,
% 0.46/0.62 (^[E: $i, T: $i] : trans(monotonicity(rewrite(((environment(E) & in_environment(E, T)) & greater(number_of_organizations(E, T), zero)) <=> (environment(E) & in_environment(E, T) & greater(number_of_organizations(E, T), zero))), rewrite(((greater(equilibrium(E), T) => decreases(resources(E, T))) & ((~greater(equilibrium(E), T)) => constant(resources(E, T)))) <=> (((~greater(equilibrium(E), T)) | decreases(resources(E, T))) & (greater(equilibrium(E), T) | constant(resources(E, T))))), ((((environment(E) & in_environment(E, T)) & greater(number_of_organizations(E, T), zero)) => ((greater(equilibrium(E), T) => decreases(resources(E, T))) & ((~greater(equilibrium(E), T)) => constant(resources(E, T))))) <=> ((environment(E) & in_environment(E, T) & greater(number_of_organizations(E, T), zero)) => (((~greater(equilibrium(E), T)) | decreases(resources(E, T))) & (greater(equilibrium(E), T) | constant(resources(E, T))))))), rewrite(((environment(E) & in_environment(E, T) & greater(number_of_organizations(E, T), zero)) => (((~greater(equilibrium(E), T)) | decreases(resources(E, T))) & (greater(equilibrium(E), T) | constant(resources(E, T))))) <=> ((~(environment(E) & in_environment(E, T) & greater(number_of_organizations(E, T), zero))) | (((~greater(equilibrium(E), T)) | decreases(resources(E, T))) & (greater(equilibrium(E), T) | constant(resources(E, T)))))), ((((environment(E) & in_environment(E, T)) & greater(number_of_organizations(E, T), zero)) => ((greater(equilibrium(E), T) => decreases(resources(E, T))) & ((~greater(equilibrium(E), T)) => constant(resources(E, T))))) <=> ((~(environment(E) & in_environment(E, T) & greater(number_of_organizations(E, T), zero))) | (((~greater(equilibrium(E), T)) | decreases(resources(E, T))) & (greater(equilibrium(E), T) | constant(resources(E, T)))))))),
% 0.46/0.62 inference(bind,[status(th)],[])).
% 0.46/0.62 tff(520,plain,
% 0.46/0.62 (![E: $i, T: $i] : (((environment(E) & in_environment(E, T)) & greater(number_of_organizations(E, T), zero)) => ((greater(equilibrium(E), T) => decreases(resources(E, T))) & ((~greater(equilibrium(E), T)) => constant(resources(E, T))))) <=> ![E: $i, T: $i] : ((~(environment(E) & in_environment(E, T) & greater(number_of_organizations(E, T), zero))) | (((~greater(equilibrium(E), T)) | decreases(resources(E, T))) & (greater(equilibrium(E), T) | constant(resources(E, T)))))),
% 0.46/0.62 inference(quant_intro,[status(thm)],[519])).
% 0.46/0.62 tff(521,axiom,(![E: $i, T: $i] : (((environment(E) & in_environment(E, T)) & greater(number_of_organizations(E, T), zero)) => ((greater(equilibrium(E), T) => decreases(resources(E, T))) & ((~greater(equilibrium(E), T)) => constant(resources(E, T)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','a4')).
% 0.46/0.62 tff(522,plain,
% 0.46/0.62 (![E: $i, T: $i] : ((~(environment(E) & in_environment(E, T) & greater(number_of_organizations(E, T), zero))) | (((~greater(equilibrium(E), T)) | decreases(resources(E, T))) & (greater(equilibrium(E), T) | constant(resources(E, T)))))),
% 0.46/0.62 inference(modus_ponens,[status(thm)],[521, 520])).
% 0.46/0.62 tff(523,plain,
% 0.46/0.62 (![E: $i, T: $i] : ((~(environment(E) & in_environment(E, T) & greater(number_of_organizations(E, T), zero))) | (((~greater(equilibrium(E), T)) | decreases(resources(E, T))) & (greater(equilibrium(E), T) | constant(resources(E, T)))))),
% 0.46/0.62 inference(modus_ponens,[status(thm)],[522, 518])).
% 0.46/0.62 tff(524,plain,(
% 0.46/0.62 ![E: $i, T: $i] : ((~(environment(E) & in_environment(E, T) & greater(number_of_organizations(E, T), zero))) | (((~greater(equilibrium(E), T)) | decreases(resources(E, T))) & (greater(equilibrium(E), T) | constant(resources(E, T)))))),
% 0.46/0.62 inference(skolemize,[status(sab)],[523])).
% 0.46/0.62 tff(525,plain,
% 0.46/0.62 (![E: $i, T: $i] : ((~environment(E)) | (~in_environment(E, T)) | (~greater(number_of_organizations(E, T), zero)) | (~((~((~greater(equilibrium(E), T)) | decreases(resources(E, T)))) | (~(greater(equilibrium(E), T) | constant(resources(E, T)))))))),
% 0.46/0.62 inference(modus_ponens,[status(thm)],[524, 517])).
% 0.46/0.62 tff(526,plain,
% 0.46/0.62 (![E: $i, T: $i] : ((~environment(E)) | (~in_environment(E, T)) | (~greater(number_of_organizations(E, T), zero)) | (~((~((~greater(equilibrium(E), T)) | decreases(resources(E, T)))) | (~(greater(equilibrium(E), T) | constant(resources(E, T)))))))),
% 0.46/0.62 inference(modus_ponens,[status(thm)],[525, 515])).
% 0.46/0.62 tff(527,plain,
% 0.46/0.62 (((~![E: $i, T: $i] : ((~environment(E)) | (~in_environment(E, T)) | (~greater(number_of_organizations(E, T), zero)) | (~((~((~greater(equilibrium(E), T)) | decreases(resources(E, T)))) | (~(greater(equilibrium(E), T) | constant(resources(E, T)))))))) | ((~environment(E!2)) | (~in_environment(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~greater(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), zero)) | (~((~(decreases(resources(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))))) | (~(constant(resources(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))))))) <=> ((~![E: $i, T: $i] : ((~environment(E)) | (~in_environment(E, T)) | (~greater(number_of_organizations(E, T), zero)) | (~((~((~greater(equilibrium(E), T)) | decreases(resources(E, T)))) | (~(greater(equilibrium(E), T) | constant(resources(E, T)))))))) | (~environment(E!2)) | (~in_environment(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~greater(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), zero)) | (~((~(decreases(resources(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))))) | (~(constant(resources(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))))))),
% 0.46/0.62 inference(rewrite,[status(thm)],[])).
% 0.46/0.62 tff(528,plain,
% 0.46/0.62 (((~environment(E!2)) | (~in_environment(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~greater(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), zero)) | (~((~((~greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | decreases(resources(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))))) | (~(greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))) | constant(resources(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))))))) <=> ((~environment(E!2)) | (~in_environment(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~greater(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), zero)) | (~((~(decreases(resources(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))))) | (~(constant(resources(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))))))),
% 0.46/0.62 inference(rewrite,[status(thm)],[])).
% 0.46/0.62 tff(529,plain,
% 0.46/0.62 (((~![E: $i, T: $i] : ((~environment(E)) | (~in_environment(E, T)) | (~greater(number_of_organizations(E, T), zero)) | (~((~((~greater(equilibrium(E), T)) | decreases(resources(E, T)))) | (~(greater(equilibrium(E), T) | constant(resources(E, T)))))))) | ((~environment(E!2)) | (~in_environment(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~greater(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), zero)) | (~((~((~greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | decreases(resources(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))))) | (~(greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))) | constant(resources(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))))))))) <=> ((~![E: $i, T: $i] : ((~environment(E)) | (~in_environment(E, T)) | (~greater(number_of_organizations(E, T), zero)) | (~((~((~greater(equilibrium(E), T)) | decreases(resources(E, T)))) | (~(greater(equilibrium(E), T) | constant(resources(E, T)))))))) | ((~environment(E!2)) | (~in_environment(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~greater(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), zero)) | (~((~(decreases(resources(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))))) | (~(constant(resources(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))))))))),
% 0.46/0.62 inference(monotonicity,[status(thm)],[528])).
% 0.46/0.62 tff(530,plain,
% 0.46/0.62 (((~![E: $i, T: $i] : ((~environment(E)) | (~in_environment(E, T)) | (~greater(number_of_organizations(E, T), zero)) | (~((~((~greater(equilibrium(E), T)) | decreases(resources(E, T)))) | (~(greater(equilibrium(E), T) | constant(resources(E, T)))))))) | ((~environment(E!2)) | (~in_environment(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~greater(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), zero)) | (~((~((~greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | decreases(resources(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))))) | (~(greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))) | constant(resources(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))))))))) <=> ((~![E: $i, T: $i] : ((~environment(E)) | (~in_environment(E, T)) | (~greater(number_of_organizations(E, T), zero)) | (~((~((~greater(equilibrium(E), T)) | decreases(resources(E, T)))) | (~(greater(equilibrium(E), T) | constant(resources(E, T)))))))) | (~environment(E!2)) | (~in_environment(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~greater(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), zero)) | (~((~(decreases(resources(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))))) | (~(constant(resources(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))))))),
% 0.46/0.62 inference(transitivity,[status(thm)],[529, 527])).
% 0.46/0.62 tff(531,plain,
% 0.46/0.62 ((~![E: $i, T: $i] : ((~environment(E)) | (~in_environment(E, T)) | (~greater(number_of_organizations(E, T), zero)) | (~((~((~greater(equilibrium(E), T)) | decreases(resources(E, T)))) | (~(greater(equilibrium(E), T) | constant(resources(E, T)))))))) | ((~environment(E!2)) | (~in_environment(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~greater(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), zero)) | (~((~((~greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | decreases(resources(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))))) | (~(greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))) | constant(resources(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))))))))),
% 0.46/0.62 inference(quant_inst,[status(thm)],[])).
% 0.46/0.62 tff(532,plain,
% 0.46/0.62 ((~![E: $i, T: $i] : ((~environment(E)) | (~in_environment(E, T)) | (~greater(number_of_organizations(E, T), zero)) | (~((~((~greater(equilibrium(E), T)) | decreases(resources(E, T)))) | (~(greater(equilibrium(E), T) | constant(resources(E, T)))))))) | (~environment(E!2)) | (~in_environment(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~greater(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))), zero)) | (~((~(decreases(resources(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))))) | (~(constant(resources(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))))))),
% 0.46/0.63 inference(modus_ponens,[status(thm)],[531, 530])).
% 0.46/0.63 tff(533,plain,
% 0.46/0.63 (~((~(decreases(resources(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))))) | (~(constant(resources(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))))),
% 0.46/0.63 inference(unit_resolution,[status(thm)],[532, 526, 41, 109, 513])).
% 0.46/0.63 tff(534,plain,
% 0.46/0.63 (((~(decreases(resources(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))))) | (~(constant(resources(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))))) | (constant(resources(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))),
% 0.46/0.63 inference(tautology,[status(thm)],[])).
% 0.46/0.63 tff(535,plain,
% 0.46/0.63 (constant(resources(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))),
% 0.46/0.63 inference(unit_resolution,[status(thm)],[534, 533])).
% 0.46/0.63 tff(536,plain,
% 0.46/0.63 ((~(constant(resources(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | constant(resources(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))),
% 0.46/0.63 inference(tautology,[status(thm)],[])).
% 0.46/0.63 tff(537,plain,
% 0.46/0.63 (constant(resources(E!2, tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))),
% 0.46/0.63 inference(unit_resolution,[status(thm)],[536, 535])).
% 0.46/0.63 tff(538,plain,
% 0.46/0.63 (greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))),
% 0.46/0.63 inference(unit_resolution,[status(thm)],[537, 493])).
% 0.46/0.63 tff(539,assumption,(greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2)))), introduced(assumption)).
% 0.46/0.63 tff(540,assumption,(greater(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_T_0(E!2))), introduced(assumption)).
% 0.46/0.63 tff(541,plain,
% 0.46/0.63 (^[E: $i] : refl(((~environment(E)) | (~stable(E)) | (~((~in_environment(E, tptp_fun_T_0(E))) | (~greater_or_equal(tptp_fun_T_0(E), equilibrium(E)))))) <=> ((~environment(E)) | (~stable(E)) | (~((~in_environment(E, tptp_fun_T_0(E))) | (~greater_or_equal(tptp_fun_T_0(E), equilibrium(E)))))))),
% 0.46/0.63 inference(bind,[status(th)],[])).
% 0.46/0.63 tff(542,plain,
% 0.46/0.63 (![E: $i] : ((~environment(E)) | (~stable(E)) | (~((~in_environment(E, tptp_fun_T_0(E))) | (~greater_or_equal(tptp_fun_T_0(E), equilibrium(E)))))) <=> ![E: $i] : ((~environment(E)) | (~stable(E)) | (~((~in_environment(E, tptp_fun_T_0(E))) | (~greater_or_equal(tptp_fun_T_0(E), equilibrium(E))))))),
% 0.46/0.63 inference(quant_intro,[status(thm)],[541])).
% 0.46/0.63 tff(543,plain,
% 0.46/0.63 (^[E: $i] : trans(monotonicity(trans(monotonicity(rewrite((environment(E) & stable(E)) <=> (~((~environment(E)) | (~stable(E))))), ((~(environment(E) & stable(E))) <=> (~(~((~environment(E)) | (~stable(E))))))), rewrite((~(~((~environment(E)) | (~stable(E))))) <=> ((~environment(E)) | (~stable(E)))), ((~(environment(E) & stable(E))) <=> ((~environment(E)) | (~stable(E))))), rewrite((in_environment(E, tptp_fun_T_0(E)) & greater_or_equal(tptp_fun_T_0(E), equilibrium(E))) <=> (~((~in_environment(E, tptp_fun_T_0(E))) | (~greater_or_equal(tptp_fun_T_0(E), equilibrium(E)))))), (((~(environment(E) & stable(E))) | (in_environment(E, tptp_fun_T_0(E)) & greater_or_equal(tptp_fun_T_0(E), equilibrium(E)))) <=> (((~environment(E)) | (~stable(E))) | (~((~in_environment(E, tptp_fun_T_0(E))) | (~greater_or_equal(tptp_fun_T_0(E), equilibrium(E)))))))), rewrite((((~environment(E)) | (~stable(E))) | (~((~in_environment(E, tptp_fun_T_0(E))) | (~greater_or_equal(tptp_fun_T_0(E), equilibrium(E)))))) <=> ((~environment(E)) | (~stable(E)) | (~((~in_environment(E, tptp_fun_T_0(E))) | (~greater_or_equal(tptp_fun_T_0(E), equilibrium(E))))))), (((~(environment(E) & stable(E))) | (in_environment(E, tptp_fun_T_0(E)) & greater_or_equal(tptp_fun_T_0(E), equilibrium(E)))) <=> ((~environment(E)) | (~stable(E)) | (~((~in_environment(E, tptp_fun_T_0(E))) | (~greater_or_equal(tptp_fun_T_0(E), equilibrium(E))))))))),
% 0.46/0.63 inference(bind,[status(th)],[])).
% 0.46/0.63 tff(544,plain,
% 0.46/0.63 (![E: $i] : ((~(environment(E) & stable(E))) | (in_environment(E, tptp_fun_T_0(E)) & greater_or_equal(tptp_fun_T_0(E), equilibrium(E)))) <=> ![E: $i] : ((~environment(E)) | (~stable(E)) | (~((~in_environment(E, tptp_fun_T_0(E))) | (~greater_or_equal(tptp_fun_T_0(E), equilibrium(E))))))),
% 0.46/0.63 inference(quant_intro,[status(thm)],[543])).
% 0.46/0.63 tff(545,plain,
% 0.46/0.63 (![E: $i] : ((~(environment(E) & stable(E))) | ?[T: $i] : (in_environment(E, T) & greater_or_equal(T, equilibrium(E)))) <=> ![E: $i] : ((~(environment(E) & stable(E))) | ?[T: $i] : (in_environment(E, T) & greater_or_equal(T, equilibrium(E))))),
% 0.46/0.63 inference(rewrite,[status(thm)],[])).
% 0.46/0.63 tff(546,plain,
% 0.46/0.63 (^[E: $i] : rewrite(((environment(E) & stable(E)) => ?[T: $i] : (in_environment(E, T) & greater_or_equal(T, equilibrium(E)))) <=> ((~(environment(E) & stable(E))) | ?[T: $i] : (in_environment(E, T) & greater_or_equal(T, equilibrium(E)))))),
% 0.46/0.63 inference(bind,[status(th)],[])).
% 0.46/0.63 tff(547,plain,
% 0.46/0.63 (![E: $i] : ((environment(E) & stable(E)) => ?[T: $i] : (in_environment(E, T) & greater_or_equal(T, equilibrium(E)))) <=> ![E: $i] : ((~(environment(E) & stable(E))) | ?[T: $i] : (in_environment(E, T) & greater_or_equal(T, equilibrium(E))))),
% 0.46/0.63 inference(quant_intro,[status(thm)],[546])).
% 0.46/0.63 tff(548,axiom,(![E: $i] : ((environment(E) & stable(E)) => ?[T: $i] : (in_environment(E, T) & greater_or_equal(T, equilibrium(E))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','a5')).
% 0.46/0.63 tff(549,plain,
% 0.46/0.63 (![E: $i] : ((~(environment(E) & stable(E))) | ?[T: $i] : (in_environment(E, T) & greater_or_equal(T, equilibrium(E))))),
% 0.46/0.63 inference(modus_ponens,[status(thm)],[548, 547])).
% 0.46/0.63 tff(550,plain,
% 0.46/0.63 (![E: $i] : ((~(environment(E) & stable(E))) | ?[T: $i] : (in_environment(E, T) & greater_or_equal(T, equilibrium(E))))),
% 0.46/0.63 inference(modus_ponens,[status(thm)],[549, 545])).
% 0.46/0.63 tff(551,plain,(
% 0.46/0.63 ![E: $i] : ((~(environment(E) & stable(E))) | (in_environment(E, tptp_fun_T_0(E)) & greater_or_equal(tptp_fun_T_0(E), equilibrium(E))))),
% 0.46/0.63 inference(skolemize,[status(sab)],[550])).
% 0.46/0.63 tff(552,plain,
% 0.46/0.63 (![E: $i] : ((~environment(E)) | (~stable(E)) | (~((~in_environment(E, tptp_fun_T_0(E))) | (~greater_or_equal(tptp_fun_T_0(E), equilibrium(E))))))),
% 0.46/0.63 inference(modus_ponens,[status(thm)],[551, 544])).
% 0.46/0.63 tff(553,plain,
% 0.46/0.63 (![E: $i] : ((~environment(E)) | (~stable(E)) | (~((~in_environment(E, tptp_fun_T_0(E))) | (~greater_or_equal(tptp_fun_T_0(E), equilibrium(E))))))),
% 0.46/0.63 inference(modus_ponens,[status(thm)],[552, 542])).
% 0.46/0.63 tff(554,plain,
% 0.46/0.63 (((~![E: $i] : ((~environment(E)) | (~stable(E)) | (~((~in_environment(E, tptp_fun_T_0(E))) | (~greater_or_equal(tptp_fun_T_0(E), equilibrium(E))))))) | ((~environment(E!2)) | (~stable(E!2)) | (~((~in_environment(E!2, tptp_fun_T_0(E!2))) | (~greater_or_equal(tptp_fun_T_0(E!2), equilibrium(E!2))))))) <=> ((~![E: $i] : ((~environment(E)) | (~stable(E)) | (~((~in_environment(E, tptp_fun_T_0(E))) | (~greater_or_equal(tptp_fun_T_0(E), equilibrium(E))))))) | (~environment(E!2)) | (~stable(E!2)) | (~((~in_environment(E!2, tptp_fun_T_0(E!2))) | (~greater_or_equal(tptp_fun_T_0(E!2), equilibrium(E!2))))))),
% 0.46/0.63 inference(rewrite,[status(thm)],[])).
% 0.46/0.63 tff(555,plain,
% 0.46/0.63 ((~![E: $i] : ((~environment(E)) | (~stable(E)) | (~((~in_environment(E, tptp_fun_T_0(E))) | (~greater_or_equal(tptp_fun_T_0(E), equilibrium(E))))))) | ((~environment(E!2)) | (~stable(E!2)) | (~((~in_environment(E!2, tptp_fun_T_0(E!2))) | (~greater_or_equal(tptp_fun_T_0(E!2), equilibrium(E!2))))))),
% 0.46/0.63 inference(quant_inst,[status(thm)],[])).
% 0.46/0.63 tff(556,plain,
% 0.46/0.63 ((~![E: $i] : ((~environment(E)) | (~stable(E)) | (~((~in_environment(E, tptp_fun_T_0(E))) | (~greater_or_equal(tptp_fun_T_0(E), equilibrium(E))))))) | (~environment(E!2)) | (~stable(E!2)) | (~((~in_environment(E!2, tptp_fun_T_0(E!2))) | (~greater_or_equal(tptp_fun_T_0(E!2), equilibrium(E!2)))))),
% 0.46/0.63 inference(modus_ponens,[status(thm)],[555, 554])).
% 0.46/0.63 tff(557,plain,
% 0.46/0.63 (~((~in_environment(E!2, tptp_fun_T_0(E!2))) | (~greater_or_equal(tptp_fun_T_0(E!2), equilibrium(E!2))))),
% 0.46/0.63 inference(unit_resolution,[status(thm)],[556, 553, 41, 40])).
% 0.46/0.63 tff(558,plain,
% 0.46/0.63 (((~in_environment(E!2, tptp_fun_T_0(E!2))) | (~greater_or_equal(tptp_fun_T_0(E!2), equilibrium(E!2)))) | greater_or_equal(tptp_fun_T_0(E!2), equilibrium(E!2))),
% 0.46/0.63 inference(tautology,[status(thm)],[])).
% 0.46/0.63 tff(559,plain,
% 0.46/0.63 (greater_or_equal(tptp_fun_T_0(E!2), equilibrium(E!2))),
% 0.46/0.63 inference(unit_resolution,[status(thm)],[558, 557])).
% 0.46/0.63 tff(560,plain,
% 0.46/0.63 (^[E: $i, T: $i] : refl(((~greater(equilibrium(E), T)) | (~environment(E)) | (~greater_or_equal(T, equilibrium(E)))) <=> ((~greater(equilibrium(E), T)) | (~environment(E)) | (~greater_or_equal(T, equilibrium(E)))))),
% 0.46/0.63 inference(bind,[status(th)],[])).
% 0.46/0.63 tff(561,plain,
% 0.46/0.63 (![E: $i, T: $i] : ((~greater(equilibrium(E), T)) | (~environment(E)) | (~greater_or_equal(T, equilibrium(E)))) <=> ![E: $i, T: $i] : ((~greater(equilibrium(E), T)) | (~environment(E)) | (~greater_or_equal(T, equilibrium(E))))),
% 0.46/0.63 inference(quant_intro,[status(thm)],[560])).
% 0.46/0.63 tff(562,plain,
% 0.46/0.63 (^[E: $i, T: $i] : trans(monotonicity(trans(monotonicity(rewrite((environment(E) & greater_or_equal(T, equilibrium(E))) <=> (~((~environment(E)) | (~greater_or_equal(T, equilibrium(E)))))), ((~(environment(E) & greater_or_equal(T, equilibrium(E)))) <=> (~(~((~environment(E)) | (~greater_or_equal(T, equilibrium(E)))))))), rewrite((~(~((~environment(E)) | (~greater_or_equal(T, equilibrium(E)))))) <=> ((~environment(E)) | (~greater_or_equal(T, equilibrium(E))))), ((~(environment(E) & greater_or_equal(T, equilibrium(E)))) <=> ((~environment(E)) | (~greater_or_equal(T, equilibrium(E)))))), (((~greater(equilibrium(E), T)) | (~(environment(E) & greater_or_equal(T, equilibrium(E))))) <=> ((~greater(equilibrium(E), T)) | ((~environment(E)) | (~greater_or_equal(T, equilibrium(E))))))), rewrite(((~greater(equilibrium(E), T)) | ((~environment(E)) | (~greater_or_equal(T, equilibrium(E))))) <=> ((~greater(equilibrium(E), T)) | (~environment(E)) | (~greater_or_equal(T, equilibrium(E))))), (((~greater(equilibrium(E), T)) | (~(environment(E) & greater_or_equal(T, equilibrium(E))))) <=> ((~greater(equilibrium(E), T)) | (~environment(E)) | (~greater_or_equal(T, equilibrium(E))))))),
% 0.46/0.63 inference(bind,[status(th)],[])).
% 0.46/0.63 tff(563,plain,
% 0.46/0.63 (![E: $i, T: $i] : ((~greater(equilibrium(E), T)) | (~(environment(E) & greater_or_equal(T, equilibrium(E))))) <=> ![E: $i, T: $i] : ((~greater(equilibrium(E), T)) | (~environment(E)) | (~greater_or_equal(T, equilibrium(E))))),
% 0.46/0.63 inference(quant_intro,[status(thm)],[562])).
% 0.46/0.63 tff(564,plain,
% 0.46/0.63 (![E: $i, T: $i] : ((~greater(equilibrium(E), T)) | (~(environment(E) & greater_or_equal(T, equilibrium(E))))) <=> ![E: $i, T: $i] : ((~greater(equilibrium(E), T)) | (~(environment(E) & greater_or_equal(T, equilibrium(E)))))),
% 0.46/0.63 inference(rewrite,[status(thm)],[])).
% 0.46/0.63 tff(565,plain,
% 0.46/0.63 (^[E: $i, T: $i] : rewrite(((environment(E) & greater_or_equal(T, equilibrium(E))) => (~greater(equilibrium(E), T))) <=> ((~greater(equilibrium(E), T)) | (~(environment(E) & greater_or_equal(T, equilibrium(E))))))),
% 0.46/0.63 inference(bind,[status(th)],[])).
% 0.46/0.63 tff(566,plain,
% 0.46/0.63 (![E: $i, T: $i] : ((environment(E) & greater_or_equal(T, equilibrium(E))) => (~greater(equilibrium(E), T))) <=> ![E: $i, T: $i] : ((~greater(equilibrium(E), T)) | (~(environment(E) & greater_or_equal(T, equilibrium(E)))))),
% 0.46/0.63 inference(quant_intro,[status(thm)],[565])).
% 0.46/0.63 tff(567,axiom,(![E: $i, T: $i] : ((environment(E) & greater_or_equal(T, equilibrium(E))) => (~greater(equilibrium(E), T)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','mp_equilibrium')).
% 0.46/0.63 tff(568,plain,
% 0.46/0.63 (![E: $i, T: $i] : ((~greater(equilibrium(E), T)) | (~(environment(E) & greater_or_equal(T, equilibrium(E)))))),
% 0.46/0.63 inference(modus_ponens,[status(thm)],[567, 566])).
% 0.46/0.63 tff(569,plain,
% 0.46/0.63 (![E: $i, T: $i] : ((~greater(equilibrium(E), T)) | (~(environment(E) & greater_or_equal(T, equilibrium(E)))))),
% 0.46/0.63 inference(modus_ponens,[status(thm)],[568, 564])).
% 0.46/0.63 tff(570,plain,(
% 0.46/0.63 ![E: $i, T: $i] : ((~greater(equilibrium(E), T)) | (~(environment(E) & greater_or_equal(T, equilibrium(E)))))),
% 0.46/0.63 inference(skolemize,[status(sab)],[569])).
% 0.46/0.63 tff(571,plain,
% 0.46/0.63 (![E: $i, T: $i] : ((~greater(equilibrium(E), T)) | (~environment(E)) | (~greater_or_equal(T, equilibrium(E))))),
% 0.46/0.63 inference(modus_ponens,[status(thm)],[570, 563])).
% 0.46/0.63 tff(572,plain,
% 0.46/0.63 (![E: $i, T: $i] : ((~greater(equilibrium(E), T)) | (~environment(E)) | (~greater_or_equal(T, equilibrium(E))))),
% 0.46/0.63 inference(modus_ponens,[status(thm)],[571, 561])).
% 0.46/0.63 tff(573,plain,
% 0.46/0.63 (((~![E: $i, T: $i] : ((~greater(equilibrium(E), T)) | (~environment(E)) | (~greater_or_equal(T, equilibrium(E))))) | ((~environment(E!2)) | (~greater_or_equal(tptp_fun_T_0(E!2), equilibrium(E!2))) | (~greater(equilibrium(E!2), tptp_fun_T_0(E!2))))) <=> ((~![E: $i, T: $i] : ((~greater(equilibrium(E), T)) | (~environment(E)) | (~greater_or_equal(T, equilibrium(E))))) | (~environment(E!2)) | (~greater_or_equal(tptp_fun_T_0(E!2), equilibrium(E!2))) | (~greater(equilibrium(E!2), tptp_fun_T_0(E!2))))),
% 0.52/0.63 inference(rewrite,[status(thm)],[])).
% 0.52/0.63 tff(574,plain,
% 0.52/0.63 (((~greater(equilibrium(E!2), tptp_fun_T_0(E!2))) | (~environment(E!2)) | (~greater_or_equal(tptp_fun_T_0(E!2), equilibrium(E!2)))) <=> ((~environment(E!2)) | (~greater_or_equal(tptp_fun_T_0(E!2), equilibrium(E!2))) | (~greater(equilibrium(E!2), tptp_fun_T_0(E!2))))),
% 0.52/0.63 inference(rewrite,[status(thm)],[])).
% 0.52/0.63 tff(575,plain,
% 0.52/0.63 (((~![E: $i, T: $i] : ((~greater(equilibrium(E), T)) | (~environment(E)) | (~greater_or_equal(T, equilibrium(E))))) | ((~greater(equilibrium(E!2), tptp_fun_T_0(E!2))) | (~environment(E!2)) | (~greater_or_equal(tptp_fun_T_0(E!2), equilibrium(E!2))))) <=> ((~![E: $i, T: $i] : ((~greater(equilibrium(E), T)) | (~environment(E)) | (~greater_or_equal(T, equilibrium(E))))) | ((~environment(E!2)) | (~greater_or_equal(tptp_fun_T_0(E!2), equilibrium(E!2))) | (~greater(equilibrium(E!2), tptp_fun_T_0(E!2)))))),
% 0.52/0.63 inference(monotonicity,[status(thm)],[574])).
% 0.52/0.63 tff(576,plain,
% 0.52/0.63 (((~![E: $i, T: $i] : ((~greater(equilibrium(E), T)) | (~environment(E)) | (~greater_or_equal(T, equilibrium(E))))) | ((~greater(equilibrium(E!2), tptp_fun_T_0(E!2))) | (~environment(E!2)) | (~greater_or_equal(tptp_fun_T_0(E!2), equilibrium(E!2))))) <=> ((~![E: $i, T: $i] : ((~greater(equilibrium(E), T)) | (~environment(E)) | (~greater_or_equal(T, equilibrium(E))))) | (~environment(E!2)) | (~greater_or_equal(tptp_fun_T_0(E!2), equilibrium(E!2))) | (~greater(equilibrium(E!2), tptp_fun_T_0(E!2))))),
% 0.52/0.63 inference(transitivity,[status(thm)],[575, 573])).
% 0.52/0.63 tff(577,plain,
% 0.52/0.63 ((~![E: $i, T: $i] : ((~greater(equilibrium(E), T)) | (~environment(E)) | (~greater_or_equal(T, equilibrium(E))))) | ((~greater(equilibrium(E!2), tptp_fun_T_0(E!2))) | (~environment(E!2)) | (~greater_or_equal(tptp_fun_T_0(E!2), equilibrium(E!2))))),
% 0.52/0.63 inference(quant_inst,[status(thm)],[])).
% 0.52/0.63 tff(578,plain,
% 0.52/0.63 ((~![E: $i, T: $i] : ((~greater(equilibrium(E), T)) | (~environment(E)) | (~greater_or_equal(T, equilibrium(E))))) | (~environment(E!2)) | (~greater_or_equal(tptp_fun_T_0(E!2), equilibrium(E!2))) | (~greater(equilibrium(E!2), tptp_fun_T_0(E!2)))),
% 0.52/0.63 inference(modus_ponens,[status(thm)],[577, 576])).
% 0.52/0.63 tff(579,plain,
% 0.52/0.63 (~greater(equilibrium(E!2), tptp_fun_T_0(E!2))),
% 0.52/0.63 inference(unit_resolution,[status(thm)],[578, 572, 41, 559])).
% 0.52/0.63 tff(580,plain,
% 0.52/0.63 (((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (greater(equilibrium(E!2), tptp_fun_T_0(E!2)) | (~greater(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_T_0(E!2))) | (~greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2)))))) <=> ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | greater(equilibrium(E!2), tptp_fun_T_0(E!2)) | (~greater(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_T_0(E!2))) | (~greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2)))))),
% 0.52/0.63 inference(rewrite,[status(thm)],[])).
% 0.52/0.63 tff(581,plain,
% 0.52/0.63 ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (greater(equilibrium(E!2), tptp_fun_T_0(E!2)) | (~greater(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_T_0(E!2))) | (~greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2)))))),
% 0.52/0.63 inference(quant_inst,[status(thm)],[])).
% 0.52/0.63 tff(582,plain,
% 0.52/0.63 ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | greater(equilibrium(E!2), tptp_fun_T_0(E!2)) | (~greater(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_T_0(E!2))) | (~greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2))))),
% 0.52/0.63 inference(modus_ponens,[status(thm)],[581, 580])).
% 0.52/0.63 tff(583,plain,
% 0.52/0.63 ($false),
% 0.52/0.63 inference(unit_resolution,[status(thm)],[582, 206, 579, 540, 539])).
% 0.52/0.63 tff(584,plain,((~greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~greater(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_T_0(E!2)))), inference(lemma,lemma(discharge,[]))).
% 0.52/0.63 tff(585,plain,
% 0.52/0.63 (~greater(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_T_0(E!2))),
% 0.52/0.63 inference(unit_resolution,[status(thm)],[584, 539])).
% 0.52/0.63 tff(586,plain,
% 0.52/0.63 ((~![X: $i, Y: $i] : (greater_or_equal(X, Y) <=> ((X = Y) | greater(X, Y)))) | (greater_or_equal(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_T_0(E!2)) <=> ((tptp_fun_T_3(tptp_fun_T_0(E!2)) = tptp_fun_T_0(E!2)) | greater(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_T_0(E!2))))),
% 0.52/0.63 inference(quant_inst,[status(thm)],[])).
% 0.52/0.63 tff(587,plain,
% 0.52/0.63 (greater_or_equal(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_T_0(E!2)) <=> ((tptp_fun_T_3(tptp_fun_T_0(E!2)) = tptp_fun_T_0(E!2)) | greater(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_T_0(E!2)))),
% 0.52/0.63 inference(unit_resolution,[status(thm)],[586, 13])).
% 0.52/0.63 tff(588,plain,
% 0.52/0.63 (((~in_environment(E!2, tptp_fun_T_0(E!2))) | (~greater_or_equal(tptp_fun_T_0(E!2), equilibrium(E!2)))) | in_environment(E!2, tptp_fun_T_0(E!2))),
% 0.52/0.63 inference(tautology,[status(thm)],[])).
% 0.52/0.63 tff(589,plain,
% 0.52/0.63 (in_environment(E!2, tptp_fun_T_0(E!2))),
% 0.52/0.63 inference(unit_resolution,[status(thm)],[588, 557])).
% 0.52/0.63 tff(590,plain,
% 0.52/0.63 (((~![To: $i] : ((~in_environment(E!2, To)) | (~(outcompetes(efficient_producers, first_movers, tptp_fun_T_3(To)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(To))) | (~greater_or_equal(tptp_fun_T_3(To), To)))))) | ((~in_environment(E!2, tptp_fun_T_0(E!2))) | (~(outcompetes(efficient_producers, first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_T_0(E!2))))))) <=> ((~![To: $i] : ((~in_environment(E!2, To)) | (~(outcompetes(efficient_producers, first_movers, tptp_fun_T_3(To)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(To))) | (~greater_or_equal(tptp_fun_T_3(To), To)))))) | (~in_environment(E!2, tptp_fun_T_0(E!2))) | (~(outcompetes(efficient_producers, first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_T_0(E!2))))))),
% 0.52/0.63 inference(rewrite,[status(thm)],[])).
% 0.52/0.63 tff(591,plain,
% 0.52/0.63 ((~![To: $i] : ((~in_environment(E!2, To)) | (~(outcompetes(efficient_producers, first_movers, tptp_fun_T_3(To)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(To))) | (~greater_or_equal(tptp_fun_T_3(To), To)))))) | ((~in_environment(E!2, tptp_fun_T_0(E!2))) | (~(outcompetes(efficient_producers, first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_T_0(E!2))))))),
% 0.52/0.63 inference(quant_inst,[status(thm)],[])).
% 0.52/0.63 tff(592,plain,
% 0.52/0.63 ((~![To: $i] : ((~in_environment(E!2, To)) | (~(outcompetes(efficient_producers, first_movers, tptp_fun_T_3(To)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(To))) | (~greater_or_equal(tptp_fun_T_3(To), To)))))) | (~in_environment(E!2, tptp_fun_T_0(E!2))) | (~(outcompetes(efficient_producers, first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_T_0(E!2)))))),
% 0.52/0.64 inference(modus_ponens,[status(thm)],[591, 590])).
% 0.52/0.64 tff(593,plain,
% 0.52/0.64 (~(outcompetes(efficient_producers, first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_T_0(E!2))))),
% 0.52/0.64 inference(unit_resolution,[status(thm)],[592, 70, 589])).
% 0.52/0.64 tff(594,plain,
% 0.52/0.64 ((outcompetes(efficient_producers, first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_T_0(E!2)))) | greater_or_equal(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_T_0(E!2))),
% 0.52/0.64 inference(tautology,[status(thm)],[])).
% 0.52/0.64 tff(595,plain,
% 0.52/0.64 (greater_or_equal(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_T_0(E!2))),
% 0.52/0.64 inference(unit_resolution,[status(thm)],[594, 593])).
% 0.52/0.64 tff(596,plain,
% 0.52/0.64 ((~(greater_or_equal(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_T_0(E!2)) <=> ((tptp_fun_T_3(tptp_fun_T_0(E!2)) = tptp_fun_T_0(E!2)) | greater(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_T_0(E!2))))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_T_0(E!2))) | ((tptp_fun_T_3(tptp_fun_T_0(E!2)) = tptp_fun_T_0(E!2)) | greater(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_T_0(E!2)))),
% 0.52/0.64 inference(tautology,[status(thm)],[])).
% 0.52/0.64 tff(597,plain,
% 0.52/0.64 ((~(greater_or_equal(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_T_0(E!2)) <=> ((tptp_fun_T_3(tptp_fun_T_0(E!2)) = tptp_fun_T_0(E!2)) | greater(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_T_0(E!2))))) | ((tptp_fun_T_3(tptp_fun_T_0(E!2)) = tptp_fun_T_0(E!2)) | greater(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_T_0(E!2)))),
% 0.52/0.64 inference(unit_resolution,[status(thm)],[596, 595])).
% 0.52/0.64 tff(598,plain,
% 0.52/0.64 ((tptp_fun_T_3(tptp_fun_T_0(E!2)) = tptp_fun_T_0(E!2)) | greater(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_T_0(E!2))),
% 0.52/0.64 inference(unit_resolution,[status(thm)],[597, 587])).
% 0.52/0.64 tff(599,plain,
% 0.52/0.64 ((~((tptp_fun_T_3(tptp_fun_T_0(E!2)) = tptp_fun_T_0(E!2)) | greater(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_T_0(E!2)))) | (tptp_fun_T_3(tptp_fun_T_0(E!2)) = tptp_fun_T_0(E!2)) | greater(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_T_0(E!2))),
% 0.52/0.64 inference(tautology,[status(thm)],[])).
% 0.52/0.64 tff(600,plain,
% 0.52/0.64 ((tptp_fun_T_3(tptp_fun_T_0(E!2)) = tptp_fun_T_0(E!2)) | greater(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_T_0(E!2))),
% 0.52/0.64 inference(unit_resolution,[status(thm)],[599, 598])).
% 0.52/0.64 tff(601,plain,
% 0.52/0.64 (tptp_fun_T_3(tptp_fun_T_0(E!2)) = tptp_fun_T_0(E!2)),
% 0.52/0.64 inference(unit_resolution,[status(thm)],[600, 585])).
% 0.52/0.64 tff(602,plain,
% 0.52/0.64 (greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2))) <=> greater(equilibrium(E!2), tptp_fun_T_0(E!2))),
% 0.52/0.64 inference(monotonicity,[status(thm)],[601])).
% 0.52/0.64 tff(603,plain,
% 0.52/0.64 (greater(equilibrium(E!2), tptp_fun_T_0(E!2)) <=> greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2)))),
% 0.52/0.64 inference(symmetry,[status(thm)],[602])).
% 0.52/0.64 tff(604,plain,
% 0.52/0.64 ((~greater(equilibrium(E!2), tptp_fun_T_0(E!2))) <=> (~greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2))))),
% 0.52/0.64 inference(monotonicity,[status(thm)],[603])).
% 0.52/0.64 tff(605,plain,
% 0.52/0.64 (~greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2)))),
% 0.52/0.64 inference(modus_ponens,[status(thm)],[579, 604])).
% 0.52/0.64 tff(606,plain,
% 0.52/0.64 ($false),
% 0.52/0.64 inference(unit_resolution,[status(thm)],[539, 605])).
% 0.52/0.64 tff(607,plain,(~greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2)))), inference(lemma,lemma(discharge,[]))).
% 0.52/0.64 tff(608,assumption,(greater(tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))), tptp_fun_T_3(tptp_fun_T_0(E!2)))), introduced(assumption)).
% 0.52/0.64 tff(609,assumption,(greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))), introduced(assumption)).
% 0.52/0.64 tff(610,assumption,(~greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2)))), introduced(assumption)).
% 0.52/0.64 tff(611,plain,
% 0.52/0.64 (((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2))) | (~greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~greater(tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))), tptp_fun_T_3(tptp_fun_T_0(E!2)))))) <=> ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2))) | (~greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~greater(tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))), tptp_fun_T_3(tptp_fun_T_0(E!2)))))),
% 0.52/0.64 inference(rewrite,[status(thm)],[])).
% 0.52/0.64 tff(612,plain,
% 0.52/0.64 ((greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2))) | (~greater(tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))), tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) <=> (greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2))) | (~greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~greater(tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))), tptp_fun_T_3(tptp_fun_T_0(E!2)))))),
% 0.52/0.64 inference(rewrite,[status(thm)],[])).
% 0.52/0.64 tff(613,plain,
% 0.52/0.64 (((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2))) | (~greater(tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))), tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))))) <=> ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2))) | (~greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~greater(tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))), tptp_fun_T_3(tptp_fun_T_0(E!2))))))),
% 0.52/0.64 inference(monotonicity,[status(thm)],[612])).
% 0.52/0.64 tff(614,plain,
% 0.52/0.64 (((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2))) | (~greater(tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))), tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))))) <=> ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2))) | (~greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~greater(tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))), tptp_fun_T_3(tptp_fun_T_0(E!2)))))),
% 0.52/0.64 inference(transitivity,[status(thm)],[613, 611])).
% 0.52/0.64 tff(615,plain,
% 0.52/0.64 ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2))) | (~greater(tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))), tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))))),
% 0.52/0.64 inference(quant_inst,[status(thm)],[])).
% 0.52/0.64 tff(616,plain,
% 0.52/0.64 ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2))) | (~greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~greater(tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))), tptp_fun_T_3(tptp_fun_T_0(E!2))))),
% 0.52/0.64 inference(modus_ponens,[status(thm)],[615, 614])).
% 0.52/0.64 tff(617,plain,
% 0.52/0.64 ($false),
% 0.52/0.64 inference(unit_resolution,[status(thm)],[616, 206, 610, 609, 608])).
% 0.52/0.64 tff(618,plain,((~greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2))) | (~greater(tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))), tptp_fun_T_3(tptp_fun_T_0(E!2))))), inference(lemma,lemma(discharge,[]))).
% 0.52/0.64 tff(619,plain,
% 0.52/0.64 ((~greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~greater(tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))), tptp_fun_T_3(tptp_fun_T_0(E!2))))),
% 0.52/0.64 inference(unit_resolution,[status(thm)],[618, 607])).
% 0.52/0.64 tff(620,plain,
% 0.52/0.64 (~greater(tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))), tptp_fun_T_3(tptp_fun_T_0(E!2)))),
% 0.52/0.64 inference(unit_resolution,[status(thm)],[619, 538])).
% 0.52/0.64 tff(621,plain,
% 0.52/0.64 (~greater(tptp_fun_To_1(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2)))),
% 0.52/0.64 inference(modus_ponens,[status(thm)],[620, 219])).
% 0.52/0.64 tff(622,plain,
% 0.52/0.64 (greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))) <=> greater(equilibrium(E!2), tptp_fun_To_1(E!2))),
% 0.52/0.64 inference(monotonicity,[status(thm)],[215])).
% 0.52/0.64 tff(623,plain,
% 0.52/0.64 (greater(equilibrium(E!2), tptp_fun_To_1(E!2))),
% 0.52/0.64 inference(modus_ponens,[status(thm)],[538, 622])).
% 0.52/0.64 tff(624,assumption,((~constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~constant(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2)))))), introduced(assumption)).
% 0.52/0.64 tff(625,plain,
% 0.52/0.64 ((outcompetes(efficient_producers, first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_T_0(E!2)))) | subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))),
% 0.52/0.64 inference(tautology,[status(thm)],[])).
% 0.52/0.64 tff(626,plain,
% 0.52/0.64 (subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))),
% 0.52/0.64 inference(unit_resolution,[status(thm)],[625, 593])).
% 0.52/0.64 tff(627,plain,
% 0.52/0.64 (((~![E: $i, T: $i] : (greater(number_of_organizations(E, T), zero) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)))) | ((~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | greater(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero))) <=> ((~![E: $i, T: $i] : (greater(number_of_organizations(E, T), zero) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)))) | (~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | greater(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero))),
% 0.52/0.64 inference(rewrite,[status(thm)],[])).
% 0.52/0.64 tff(628,plain,
% 0.52/0.64 ((greater(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero) | (~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))))) <=> ((~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | greater(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero))),
% 0.52/0.64 inference(rewrite,[status(thm)],[])).
% 0.52/0.64 tff(629,plain,
% 0.52/0.64 (((~![E: $i, T: $i] : (greater(number_of_organizations(E, T), zero) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)))) | (greater(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero) | (~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))))) <=> ((~![E: $i, T: $i] : (greater(number_of_organizations(E, T), zero) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)))) | ((~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | greater(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)))),
% 0.52/0.64 inference(monotonicity,[status(thm)],[628])).
% 0.52/0.64 tff(630,plain,
% 0.52/0.64 (((~![E: $i, T: $i] : (greater(number_of_organizations(E, T), zero) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)))) | (greater(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero) | (~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))))) <=> ((~![E: $i, T: $i] : (greater(number_of_organizations(E, T), zero) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)))) | (~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | greater(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero))),
% 0.52/0.64 inference(transitivity,[status(thm)],[629, 627])).
% 0.52/0.65 tff(631,plain,
% 0.52/0.65 ((~![E: $i, T: $i] : (greater(number_of_organizations(E, T), zero) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)))) | (greater(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero) | (~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))))),
% 0.52/0.65 inference(quant_inst,[status(thm)],[])).
% 0.52/0.65 tff(632,plain,
% 0.52/0.65 ((~![E: $i, T: $i] : (greater(number_of_organizations(E, T), zero) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)))) | (~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | greater(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)),
% 0.52/0.65 inference(modus_ponens,[status(thm)],[631, 630])).
% 0.52/0.65 tff(633,plain,
% 0.52/0.65 (greater(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)),
% 0.52/0.65 inference(unit_resolution,[status(thm)],[632, 506, 41, 626])).
% 0.52/0.65 tff(634,plain,
% 0.52/0.65 (((~![E: $i, T: $i] : (in_environment(E, T) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)))) | ((~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | in_environment(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))))) <=> ((~![E: $i, T: $i] : (in_environment(E, T) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)))) | (~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | in_environment(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))))),
% 0.52/0.65 inference(rewrite,[status(thm)],[])).
% 0.52/0.65 tff(635,plain,
% 0.52/0.65 ((in_environment(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))) | (~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))))) <=> ((~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | in_environment(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))))),
% 0.52/0.65 inference(rewrite,[status(thm)],[])).
% 0.52/0.65 tff(636,plain,
% 0.52/0.65 (((~![E: $i, T: $i] : (in_environment(E, T) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)))) | (in_environment(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))) | (~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))))) <=> ((~![E: $i, T: $i] : (in_environment(E, T) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)))) | ((~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | in_environment(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))))),
% 0.52/0.65 inference(monotonicity,[status(thm)],[635])).
% 0.52/0.65 tff(637,plain,
% 0.52/0.65 (((~![E: $i, T: $i] : (in_environment(E, T) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)))) | (in_environment(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))) | (~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))))) <=> ((~![E: $i, T: $i] : (in_environment(E, T) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)))) | (~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | in_environment(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))))),
% 0.52/0.65 inference(transitivity,[status(thm)],[636, 634])).
% 0.52/0.65 tff(638,plain,
% 0.52/0.65 ((~![E: $i, T: $i] : (in_environment(E, T) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)))) | (in_environment(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))) | (~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))))),
% 0.52/0.65 inference(quant_inst,[status(thm)],[])).
% 0.52/0.65 tff(639,plain,
% 0.52/0.65 ((~![E: $i, T: $i] : (in_environment(E, T) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)))) | (~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | in_environment(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))),
% 0.52/0.65 inference(modus_ponens,[status(thm)],[638, 637])).
% 0.52/0.65 tff(640,plain,
% 0.52/0.65 (in_environment(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))),
% 0.52/0.65 inference(unit_resolution,[status(thm)],[639, 89, 41, 626])).
% 0.52/0.65 tff(641,plain,
% 0.52/0.65 (((~![E: $i, T: $i] : ((~environment(E)) | (~in_environment(E, T)) | (~greater(number_of_organizations(E, T), zero)) | (~((~((~greater(equilibrium(E), T)) | decreases(resources(E, T)))) | (~(greater(equilibrium(E), T) | constant(resources(E, T)))))))) | ((~environment(E!2)) | (~in_environment(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~greater(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)) | (~((~(decreases(resources(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2)))))) | (~(constant(resources(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2))))))))) <=> ((~![E: $i, T: $i] : ((~environment(E)) | (~in_environment(E, T)) | (~greater(number_of_organizations(E, T), zero)) | (~((~((~greater(equilibrium(E), T)) | decreases(resources(E, T)))) | (~(greater(equilibrium(E), T) | constant(resources(E, T)))))))) | (~environment(E!2)) | (~in_environment(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~greater(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)) | (~((~(decreases(resources(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2)))))) | (~(constant(resources(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2))))))))),
% 0.52/0.65 inference(rewrite,[status(thm)],[])).
% 0.52/0.65 tff(642,plain,
% 0.52/0.65 (((~environment(E!2)) | (~in_environment(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~greater(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)) | (~((~((~greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2)))) | decreases(resources(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))))) | (~(greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2))) | constant(resources(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))))))))) <=> ((~environment(E!2)) | (~in_environment(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~greater(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)) | (~((~(decreases(resources(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2)))))) | (~(constant(resources(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2))))))))),
% 0.52/0.65 inference(rewrite,[status(thm)],[])).
% 0.52/0.65 tff(643,plain,
% 0.52/0.65 (((~![E: $i, T: $i] : ((~environment(E)) | (~in_environment(E, T)) | (~greater(number_of_organizations(E, T), zero)) | (~((~((~greater(equilibrium(E), T)) | decreases(resources(E, T)))) | (~(greater(equilibrium(E), T) | constant(resources(E, T)))))))) | ((~environment(E!2)) | (~in_environment(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~greater(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)) | (~((~((~greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2)))) | decreases(resources(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))))) | (~(greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2))) | constant(resources(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))))))))) <=> ((~![E: $i, T: $i] : ((~environment(E)) | (~in_environment(E, T)) | (~greater(number_of_organizations(E, T), zero)) | (~((~((~greater(equilibrium(E), T)) | decreases(resources(E, T)))) | (~(greater(equilibrium(E), T) | constant(resources(E, T)))))))) | ((~environment(E!2)) | (~in_environment(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~greater(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)) | (~((~(decreases(resources(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2)))))) | (~(constant(resources(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2)))))))))),
% 0.52/0.65 inference(monotonicity,[status(thm)],[642])).
% 0.52/0.65 tff(644,plain,
% 0.52/0.65 (((~![E: $i, T: $i] : ((~environment(E)) | (~in_environment(E, T)) | (~greater(number_of_organizations(E, T), zero)) | (~((~((~greater(equilibrium(E), T)) | decreases(resources(E, T)))) | (~(greater(equilibrium(E), T) | constant(resources(E, T)))))))) | ((~environment(E!2)) | (~in_environment(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~greater(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)) | (~((~((~greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2)))) | decreases(resources(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))))) | (~(greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2))) | constant(resources(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))))))))) <=> ((~![E: $i, T: $i] : ((~environment(E)) | (~in_environment(E, T)) | (~greater(number_of_organizations(E, T), zero)) | (~((~((~greater(equilibrium(E), T)) | decreases(resources(E, T)))) | (~(greater(equilibrium(E), T) | constant(resources(E, T)))))))) | (~environment(E!2)) | (~in_environment(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~greater(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)) | (~((~(decreases(resources(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2)))))) | (~(constant(resources(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2))))))))),
% 0.52/0.65 inference(transitivity,[status(thm)],[643, 641])).
% 0.52/0.65 tff(645,plain,
% 0.52/0.65 ((~![E: $i, T: $i] : ((~environment(E)) | (~in_environment(E, T)) | (~greater(number_of_organizations(E, T), zero)) | (~((~((~greater(equilibrium(E), T)) | decreases(resources(E, T)))) | (~(greater(equilibrium(E), T) | constant(resources(E, T)))))))) | ((~environment(E!2)) | (~in_environment(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~greater(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)) | (~((~((~greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2)))) | decreases(resources(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))))) | (~(greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2))) | constant(resources(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))))))))),
% 0.52/0.65 inference(quant_inst,[status(thm)],[])).
% 0.52/0.65 tff(646,plain,
% 0.52/0.65 ((~![E: $i, T: $i] : ((~environment(E)) | (~in_environment(E, T)) | (~greater(number_of_organizations(E, T), zero)) | (~((~((~greater(equilibrium(E), T)) | decreases(resources(E, T)))) | (~(greater(equilibrium(E), T) | constant(resources(E, T)))))))) | (~environment(E!2)) | (~in_environment(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~greater(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)) | (~((~(decreases(resources(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2)))))) | (~(constant(resources(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2)))))))),
% 0.52/0.65 inference(modus_ponens,[status(thm)],[645, 644])).
% 0.52/0.65 tff(647,plain,
% 0.52/0.65 (~((~(decreases(resources(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2)))))) | (~(constant(resources(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2))))))),
% 0.52/0.65 inference(unit_resolution,[status(thm)],[646, 526, 41, 640, 633])).
% 0.52/0.65 tff(648,plain,
% 0.52/0.65 (((~(decreases(resources(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2)))))) | (~(constant(resources(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2)))))) | (constant(resources(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2))))),
% 0.52/0.65 inference(tautology,[status(thm)],[])).
% 0.52/0.65 tff(649,plain,
% 0.52/0.65 (constant(resources(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2)))),
% 0.52/0.65 inference(unit_resolution,[status(thm)],[648, 647])).
% 0.52/0.65 tff(650,plain,
% 0.52/0.65 ((~(constant(resources(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2))))) | constant(resources(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2)))),
% 0.52/0.65 inference(tautology,[status(thm)],[])).
% 0.52/0.65 tff(651,plain,
% 0.52/0.65 (constant(resources(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2)))),
% 0.52/0.65 inference(unit_resolution,[status(thm)],[650, 649])).
% 0.52/0.65 tff(652,plain,
% 0.52/0.65 (constant(resources(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))))),
% 0.52/0.65 inference(unit_resolution,[status(thm)],[651, 610])).
% 0.52/0.65 tff(653,plain,
% 0.52/0.65 (((~![E: $i, T: $i] : ((~environment(E)) | (~in_environment(E, T)) | (~((~((~decreases(number_of_organizations(E, T))) | (~decreases(resources(E, T))))) | (~(constant(number_of_organizations(E, T)) | (~constant(resources(E, T))))))))) | ((~environment(E!2)) | (~in_environment(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~((~((~decreases(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~decreases(resources(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))))))) | (~(constant(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~constant(resources(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))))))))))) <=> ((~![E: $i, T: $i] : ((~environment(E)) | (~in_environment(E, T)) | (~((~((~decreases(number_of_organizations(E, T))) | (~decreases(resources(E, T))))) | (~(constant(number_of_organizations(E, T)) | (~constant(resources(E, T))))))))) | (~environment(E!2)) | (~in_environment(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~((~((~decreases(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~decreases(resources(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))))))) | (~(constant(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~constant(resources(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))))))))))),
% 0.52/0.65 inference(rewrite,[status(thm)],[])).
% 0.52/0.65 tff(654,plain,
% 0.52/0.65 ((~![E: $i, T: $i] : ((~environment(E)) | (~in_environment(E, T)) | (~((~((~decreases(number_of_organizations(E, T))) | (~decreases(resources(E, T))))) | (~(constant(number_of_organizations(E, T)) | (~constant(resources(E, T))))))))) | ((~environment(E!2)) | (~in_environment(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~((~((~decreases(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~decreases(resources(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))))))) | (~(constant(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~constant(resources(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))))))))))),
% 0.52/0.65 inference(quant_inst,[status(thm)],[])).
% 0.52/0.65 tff(655,plain,
% 0.52/0.65 ((~![E: $i, T: $i] : ((~environment(E)) | (~in_environment(E, T)) | (~((~((~decreases(number_of_organizations(E, T))) | (~decreases(resources(E, T))))) | (~(constant(number_of_organizations(E, T)) | (~constant(resources(E, T))))))))) | (~environment(E!2)) | (~in_environment(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~((~((~decreases(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~decreases(resources(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))))))) | (~(constant(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~constant(resources(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))))))))),
% 0.52/0.65 inference(modus_ponens,[status(thm)],[654, 653])).
% 0.52/0.65 tff(656,plain,
% 0.52/0.65 (~((~((~decreases(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~decreases(resources(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))))))) | (~(constant(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~constant(resources(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))))))))),
% 0.52/0.65 inference(unit_resolution,[status(thm)],[655, 484, 41, 640])).
% 0.52/0.65 tff(657,plain,
% 0.52/0.65 (((~((~decreases(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~decreases(resources(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))))))) | (~(constant(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~constant(resources(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))))))) | (constant(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~constant(resources(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))))))),
% 0.52/0.65 inference(tautology,[status(thm)],[])).
% 0.52/0.65 tff(658,plain,
% 0.52/0.65 (constant(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~constant(resources(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))))),
% 0.52/0.65 inference(unit_resolution,[status(thm)],[657, 656])).
% 0.52/0.66 tff(659,plain,
% 0.52/0.66 ((~(constant(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~constant(resources(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))))))) | constant(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~constant(resources(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))))),
% 0.52/0.66 inference(tautology,[status(thm)],[])).
% 0.52/0.66 tff(660,plain,
% 0.52/0.66 (constant(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~constant(resources(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))))),
% 0.52/0.66 inference(unit_resolution,[status(thm)],[659, 658])).
% 0.52/0.66 tff(661,plain,
% 0.52/0.66 (constant(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))))),
% 0.52/0.66 inference(unit_resolution,[status(thm)],[660, 652])).
% 0.52/0.66 tff(662,plain,
% 0.52/0.66 (((~![E: $i, T: $i] : ((~environment(E)) | (~in_environment(E, T)) | (~((~subpopulation(first_movers, E, T)) | (~subpopulation(efficient_producers, E, T)))))) | ((~environment(E!2)) | (~in_environment(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~((~subpopulation(first_movers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~subpopulation(efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))))))) <=> ((~![E: $i, T: $i] : ((~environment(E)) | (~in_environment(E, T)) | (~((~subpopulation(first_movers, E, T)) | (~subpopulation(efficient_producers, E, T)))))) | (~environment(E!2)) | (~in_environment(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~((~subpopulation(first_movers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~subpopulation(efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))))))),
% 0.52/0.66 inference(rewrite,[status(thm)],[])).
% 0.52/0.66 tff(663,plain,
% 0.52/0.66 ((~![E: $i, T: $i] : ((~environment(E)) | (~in_environment(E, T)) | (~((~subpopulation(first_movers, E, T)) | (~subpopulation(efficient_producers, E, T)))))) | ((~environment(E!2)) | (~in_environment(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~((~subpopulation(first_movers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~subpopulation(efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))))))),
% 0.52/0.66 inference(quant_inst,[status(thm)],[])).
% 0.52/0.66 tff(664,plain,
% 0.52/0.66 ((~![E: $i, T: $i] : ((~environment(E)) | (~in_environment(E, T)) | (~((~subpopulation(first_movers, E, T)) | (~subpopulation(efficient_producers, E, T)))))) | (~environment(E!2)) | (~in_environment(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~((~subpopulation(first_movers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~subpopulation(efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))))))),
% 0.52/0.66 inference(modus_ponens,[status(thm)],[663, 662])).
% 0.52/0.66 tff(665,plain,
% 0.52/0.66 (~((~subpopulation(first_movers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~subpopulation(efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))))),
% 0.52/0.66 inference(unit_resolution,[status(thm)],[664, 260, 41, 640])).
% 0.52/0.66 tff(666,plain,
% 0.52/0.66 (((~subpopulation(first_movers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~subpopulation(efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | subpopulation(efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))),
% 0.52/0.66 inference(tautology,[status(thm)],[])).
% 0.52/0.66 tff(667,plain,
% 0.52/0.66 (subpopulation(efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))),
% 0.52/0.66 inference(unit_resolution,[status(thm)],[666, 665])).
% 0.52/0.66 tff(668,plain,
% 0.52/0.66 (((~![E: $i, X: $i, T: $i] : ((number_of_organizations(E, T) = sum(cardinality_at_time(first_movers, T), cardinality_at_time(efficient_producers, T))) | (~environment(E)) | (~subpopulation(X, E, T)) | (~((X = first_movers) | (X = efficient_producers) | (~greater(cardinality_at_time(X, T), zero)))))) | ((~environment(E!2)) | (~subpopulation(efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))) = sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))) <=> ((~![E: $i, X: $i, T: $i] : ((number_of_organizations(E, T) = sum(cardinality_at_time(first_movers, T), cardinality_at_time(efficient_producers, T))) | (~environment(E)) | (~subpopulation(X, E, T)) | (~((X = first_movers) | (X = efficient_producers) | (~greater(cardinality_at_time(X, T), zero)))))) | (~environment(E!2)) | (~subpopulation(efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))) = sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))),
% 0.52/0.66 inference(rewrite,[status(thm)],[])).
% 0.52/0.66 tff(669,plain,
% 0.52/0.66 (((number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))) = sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~environment(E!2)) | (~subpopulation(efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | $false) <=> ((~environment(E!2)) | (~subpopulation(efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))) = sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))),
% 0.52/0.66 inference(rewrite,[status(thm)],[])).
% 0.52/0.66 tff(670,plain,
% 0.52/0.66 (((efficient_producers = first_movers) | $true | (~greater(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero))) <=> $true),
% 0.52/0.66 inference(rewrite,[status(thm)],[])).
% 0.52/0.66 tff(671,plain,
% 0.52/0.66 (((efficient_producers = first_movers) | (efficient_producers = efficient_producers) | (~greater(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero))) <=> ((efficient_producers = first_movers) | $true | (~greater(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)))),
% 0.52/0.66 inference(monotonicity,[status(thm)],[421])).
% 0.52/0.66 tff(672,plain,
% 0.52/0.66 (((efficient_producers = first_movers) | (efficient_producers = efficient_producers) | (~greater(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero))) <=> $true),
% 0.52/0.66 inference(transitivity,[status(thm)],[671, 670])).
% 0.52/0.66 tff(673,plain,
% 0.52/0.66 ((~((efficient_producers = first_movers) | (efficient_producers = efficient_producers) | (~greater(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)))) <=> (~$true)),
% 0.52/0.66 inference(monotonicity,[status(thm)],[672])).
% 0.52/0.66 tff(674,plain,
% 0.52/0.66 ((~((efficient_producers = first_movers) | (efficient_producers = efficient_producers) | (~greater(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)))) <=> $false),
% 0.52/0.66 inference(transitivity,[status(thm)],[673, 419])).
% 0.52/0.66 tff(675,plain,
% 0.52/0.66 (((number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))) = sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~environment(E!2)) | (~subpopulation(efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~((efficient_producers = first_movers) | (efficient_producers = efficient_producers) | (~greater(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero))))) <=> ((number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))) = sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~environment(E!2)) | (~subpopulation(efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | $false)),
% 0.52/0.66 inference(monotonicity,[status(thm)],[674])).
% 0.52/0.66 tff(676,plain,
% 0.52/0.66 (((number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))) = sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~environment(E!2)) | (~subpopulation(efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~((efficient_producers = first_movers) | (efficient_producers = efficient_producers) | (~greater(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero))))) <=> ((~environment(E!2)) | (~subpopulation(efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))) = sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))),
% 0.55/0.66 inference(transitivity,[status(thm)],[675, 669])).
% 0.55/0.66 tff(677,plain,
% 0.55/0.66 (((~![E: $i, X: $i, T: $i] : ((number_of_organizations(E, T) = sum(cardinality_at_time(first_movers, T), cardinality_at_time(efficient_producers, T))) | (~environment(E)) | (~subpopulation(X, E, T)) | (~((X = first_movers) | (X = efficient_producers) | (~greater(cardinality_at_time(X, T), zero)))))) | ((number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))) = sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~environment(E!2)) | (~subpopulation(efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~((efficient_producers = first_movers) | (efficient_producers = efficient_producers) | (~greater(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)))))) <=> ((~![E: $i, X: $i, T: $i] : ((number_of_organizations(E, T) = sum(cardinality_at_time(first_movers, T), cardinality_at_time(efficient_producers, T))) | (~environment(E)) | (~subpopulation(X, E, T)) | (~((X = first_movers) | (X = efficient_producers) | (~greater(cardinality_at_time(X, T), zero)))))) | ((~environment(E!2)) | (~subpopulation(efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))) = sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2)))))))),
% 0.55/0.66 inference(monotonicity,[status(thm)],[676])).
% 0.55/0.66 tff(678,plain,
% 0.55/0.66 (((~![E: $i, X: $i, T: $i] : ((number_of_organizations(E, T) = sum(cardinality_at_time(first_movers, T), cardinality_at_time(efficient_producers, T))) | (~environment(E)) | (~subpopulation(X, E, T)) | (~((X = first_movers) | (X = efficient_producers) | (~greater(cardinality_at_time(X, T), zero)))))) | ((number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))) = sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~environment(E!2)) | (~subpopulation(efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~((efficient_producers = first_movers) | (efficient_producers = efficient_producers) | (~greater(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)))))) <=> ((~![E: $i, X: $i, T: $i] : ((number_of_organizations(E, T) = sum(cardinality_at_time(first_movers, T), cardinality_at_time(efficient_producers, T))) | (~environment(E)) | (~subpopulation(X, E, T)) | (~((X = first_movers) | (X = efficient_producers) | (~greater(cardinality_at_time(X, T), zero)))))) | (~environment(E!2)) | (~subpopulation(efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))) = sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))),
% 0.55/0.66 inference(transitivity,[status(thm)],[677, 668])).
% 0.55/0.66 tff(679,plain,
% 0.55/0.66 ((~![E: $i, X: $i, T: $i] : ((number_of_organizations(E, T) = sum(cardinality_at_time(first_movers, T), cardinality_at_time(efficient_producers, T))) | (~environment(E)) | (~subpopulation(X, E, T)) | (~((X = first_movers) | (X = efficient_producers) | (~greater(cardinality_at_time(X, T), zero)))))) | ((number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))) = sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~environment(E!2)) | (~subpopulation(efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~((efficient_producers = first_movers) | (efficient_producers = efficient_producers) | (~greater(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)))))),
% 0.55/0.66 inference(quant_inst,[status(thm)],[])).
% 0.55/0.66 tff(680,plain,
% 0.55/0.66 ((~![E: $i, X: $i, T: $i] : ((number_of_organizations(E, T) = sum(cardinality_at_time(first_movers, T), cardinality_at_time(efficient_producers, T))) | (~environment(E)) | (~subpopulation(X, E, T)) | (~((X = first_movers) | (X = efficient_producers) | (~greater(cardinality_at_time(X, T), zero)))))) | (~environment(E!2)) | (~subpopulation(efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))) = sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2)))))),
% 0.55/0.66 inference(modus_ponens,[status(thm)],[679, 678])).
% 0.55/0.66 tff(681,plain,
% 0.55/0.66 (number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))) = sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))),
% 0.55/0.66 inference(unit_resolution,[status(thm)],[680, 416, 41, 667])).
% 0.55/0.66 tff(682,plain,
% 0.55/0.66 (sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2)))) = number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))),
% 0.55/0.66 inference(symmetry,[status(thm)],[681])).
% 0.55/0.66 tff(683,plain,
% 0.55/0.66 (constant(sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) <=> constant(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))))),
% 0.55/0.66 inference(monotonicity,[status(thm)],[682])).
% 0.55/0.66 tff(684,plain,
% 0.55/0.66 (constant(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) <=> constant(sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2)))))),
% 0.55/0.66 inference(symmetry,[status(thm)],[683])).
% 0.55/0.66 tff(685,assumption,(constant(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))))), introduced(assumption)).
% 0.55/0.66 tff(686,plain,
% 0.55/0.66 (constant(sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2)))))),
% 0.55/0.66 inference(modus_ponens,[status(thm)],[685, 684])).
% 0.55/0.66 tff(687,assumption,((~decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2)))))), introduced(assumption)).
% 0.55/0.66 tff(688,assumption,(~(greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero) <=> ((growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))) = zero) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)))), introduced(assumption)).
% 0.55/0.66 tff(689,plain,
% 0.55/0.66 ((~![X: $i, Y: $i] : (greater_or_equal(X, Y) <=> ((X = Y) | greater(X, Y)))) | (greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero) <=> ((growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))) = zero) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)))),
% 0.55/0.66 inference(quant_inst,[status(thm)],[])).
% 0.55/0.66 tff(690,plain,
% 0.55/0.66 ($false),
% 0.55/0.66 inference(unit_resolution,[status(thm)],[689, 13, 688])).
% 0.55/0.66 tff(691,plain,(greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero) <=> ((growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))) = zero) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero))), inference(lemma,lemma(discharge,[]))).
% 0.55/0.66 tff(692,assumption,(~((~decreases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~increases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))), introduced(assumption)).
% 0.55/0.66 tff(693,plain,
% 0.55/0.66 (((~decreases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~increases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2)))))) | decreases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))),
% 0.55/0.66 inference(tautology,[status(thm)],[])).
% 0.55/0.66 tff(694,plain,
% 0.55/0.66 (decreases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))),
% 0.55/0.67 inference(unit_resolution,[status(thm)],[693, 692])).
% 0.55/0.67 tff(695,plain,
% 0.55/0.67 (((~subpopulation(first_movers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~subpopulation(efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | subpopulation(first_movers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))),
% 0.55/0.67 inference(tautology,[status(thm)],[])).
% 0.55/0.67 tff(696,plain,
% 0.55/0.67 (subpopulation(first_movers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))),
% 0.55/0.67 inference(unit_resolution,[status(thm)],[695, 665])).
% 0.55/0.67 tff(697,plain,
% 0.55/0.67 (((~![E: $i, T: $i] : ((~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)) | (~((~greater(cardinality_at_time(first_movers, T), zero)) | (~greater(cardinality_at_time(efficient_producers, T), zero)))))) | ((~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~((~greater(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)) | (~greater(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)))))) <=> ((~![E: $i, T: $i] : ((~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)) | (~((~greater(cardinality_at_time(first_movers, T), zero)) | (~greater(cardinality_at_time(efficient_producers, T), zero)))))) | (~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~((~greater(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)) | (~greater(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)))))),
% 0.55/0.67 inference(rewrite,[status(thm)],[])).
% 0.55/0.67 tff(698,plain,
% 0.55/0.67 ((~![E: $i, T: $i] : ((~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)) | (~((~greater(cardinality_at_time(first_movers, T), zero)) | (~greater(cardinality_at_time(efficient_producers, T), zero)))))) | ((~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~((~greater(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)) | (~greater(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)))))),
% 0.55/0.67 inference(quant_inst,[status(thm)],[])).
% 0.55/0.67 tff(699,plain,
% 0.55/0.67 ((~![E: $i, T: $i] : ((~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)) | (~((~greater(cardinality_at_time(first_movers, T), zero)) | (~greater(cardinality_at_time(efficient_producers, T), zero)))))) | (~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~((~greater(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)) | (~greater(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero))))),
% 0.55/0.67 inference(modus_ponens,[status(thm)],[698, 697])).
% 0.55/0.67 tff(700,plain,
% 0.55/0.67 (~((~greater(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)) | (~greater(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)))),
% 0.55/0.67 inference(unit_resolution,[status(thm)],[699, 279, 41, 626])).
% 0.55/0.67 tff(701,plain,
% 0.55/0.67 (((~greater(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)) | (~greater(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero))) | greater(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)),
% 0.55/0.67 inference(tautology,[status(thm)],[])).
% 0.55/0.67 tff(702,plain,
% 0.55/0.67 (greater(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)),
% 0.55/0.67 inference(unit_resolution,[status(thm)],[701, 700])).
% 0.55/0.67 tff(703,plain,
% 0.55/0.67 (((~![X: $i, E: $i, T: $i] : ((~environment(E)) | (~in_environment(E, T)) | (~subpopulation(X, E, T)) | (~greater(cardinality_at_time(X, T), zero)) | (~((~((~constant(cardinality_at_time(X, T))) | (growth_rate(X, T) = zero))) | (~((~increases(cardinality_at_time(X, T))) | greater(growth_rate(X, T), zero))) | (~((~decreases(cardinality_at_time(X, T))) | greater(zero, growth_rate(X, T)))))))) | ((~environment(E!2)) | (~in_environment(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~subpopulation(first_movers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~greater(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)) | (~((~((~constant(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))) = zero))) | (~((~increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero))) | (~((~decreases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2)))))))))) <=> ((~![X: $i, E: $i, T: $i] : ((~environment(E)) | (~in_environment(E, T)) | (~subpopulation(X, E, T)) | (~greater(cardinality_at_time(X, T), zero)) | (~((~((~constant(cardinality_at_time(X, T))) | (growth_rate(X, T) = zero))) | (~((~increases(cardinality_at_time(X, T))) | greater(growth_rate(X, T), zero))) | (~((~decreases(cardinality_at_time(X, T))) | greater(zero, growth_rate(X, T)))))))) | (~environment(E!2)) | (~in_environment(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~subpopulation(first_movers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~greater(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)) | (~((~((~constant(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))) = zero))) | (~((~increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero))) | (~((~decreases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2)))))))))),
% 0.55/0.67 inference(rewrite,[status(thm)],[])).
% 0.55/0.67 tff(704,plain,
% 0.55/0.67 ((~![X: $i, E: $i, T: $i] : ((~environment(E)) | (~in_environment(E, T)) | (~subpopulation(X, E, T)) | (~greater(cardinality_at_time(X, T), zero)) | (~((~((~constant(cardinality_at_time(X, T))) | (growth_rate(X, T) = zero))) | (~((~increases(cardinality_at_time(X, T))) | greater(growth_rate(X, T), zero))) | (~((~decreases(cardinality_at_time(X, T))) | greater(zero, growth_rate(X, T)))))))) | ((~environment(E!2)) | (~in_environment(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~subpopulation(first_movers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~greater(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)) | (~((~((~constant(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))) = zero))) | (~((~increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero))) | (~((~decreases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2)))))))))),
% 0.55/0.67 inference(quant_inst,[status(thm)],[])).
% 0.55/0.67 tff(705,plain,
% 0.55/0.67 ((~![X: $i, E: $i, T: $i] : ((~environment(E)) | (~in_environment(E, T)) | (~subpopulation(X, E, T)) | (~greater(cardinality_at_time(X, T), zero)) | (~((~((~constant(cardinality_at_time(X, T))) | (growth_rate(X, T) = zero))) | (~((~increases(cardinality_at_time(X, T))) | greater(growth_rate(X, T), zero))) | (~((~decreases(cardinality_at_time(X, T))) | greater(zero, growth_rate(X, T)))))))) | (~environment(E!2)) | (~in_environment(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~subpopulation(first_movers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~greater(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)) | (~((~((~constant(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))) = zero))) | (~((~increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero))) | (~((~decreases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))))),
% 0.55/0.67 inference(modus_ponens,[status(thm)],[704, 703])).
% 0.55/0.67 tff(706,plain,
% 0.55/0.67 (~((~((~constant(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))) = zero))) | (~((~increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero))) | (~((~decreases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2)))))))),
% 0.55/0.67 inference(unit_resolution,[status(thm)],[705, 298, 41, 702, 640, 696])).
% 0.55/0.67 tff(707,plain,
% 0.55/0.67 (((~((~constant(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))) = zero))) | (~((~increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero))) | (~((~decreases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))) | ((~decreases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2)))))),
% 0.55/0.67 inference(tautology,[status(thm)],[])).
% 0.55/0.67 tff(708,plain,
% 0.55/0.67 ((~decreases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))),
% 0.55/0.67 inference(unit_resolution,[status(thm)],[707, 706])).
% 0.55/0.67 tff(709,plain,
% 0.55/0.67 ((~((~decreases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2)))))) | (~decreases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))),
% 0.55/0.67 inference(tautology,[status(thm)],[])).
% 0.55/0.67 tff(710,plain,
% 0.55/0.67 ((~decreases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))),
% 0.55/0.67 inference(unit_resolution,[status(thm)],[709, 708])).
% 0.55/0.67 tff(711,plain,
% 0.55/0.67 (greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))),
% 0.55/0.67 inference(unit_resolution,[status(thm)],[710, 694])).
% 0.55/0.67 tff(712,plain,
% 0.55/0.67 (((~![E: $i, S1: $i, S2: $i, T: $i] : ((~environment(E)) | (~subpopulations(S1, S2, E, T)) | ((~((~greater_or_equal(growth_rate(S2, T), zero)) | (~greater(zero, growth_rate(S1, T))))) <=> outcompetes(S2, S1, T)))) | ((~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | ((~((~greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)) | (~greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))) <=> outcompetes(efficient_producers, first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2)))))) <=> ((~![E: $i, S1: $i, S2: $i, T: $i] : ((~environment(E)) | (~subpopulations(S1, S2, E, T)) | ((~((~greater_or_equal(growth_rate(S2, T), zero)) | (~greater(zero, growth_rate(S1, T))))) <=> outcompetes(S2, S1, T)))) | (~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | ((~((~greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)) | (~greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))) <=> outcompetes(efficient_producers, first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2)))))),
% 0.55/0.67 inference(rewrite,[status(thm)],[])).
% 0.55/0.67 tff(713,plain,
% 0.55/0.67 ((~![E: $i, S1: $i, S2: $i, T: $i] : ((~environment(E)) | (~subpopulations(S1, S2, E, T)) | ((~((~greater_or_equal(growth_rate(S2, T), zero)) | (~greater(zero, growth_rate(S1, T))))) <=> outcompetes(S2, S1, T)))) | ((~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | ((~((~greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)) | (~greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))) <=> outcompetes(efficient_producers, first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2)))))),
% 0.55/0.68 inference(quant_inst,[status(thm)],[])).
% 0.55/0.68 tff(714,plain,
% 0.55/0.68 ((~![E: $i, S1: $i, S2: $i, T: $i] : ((~environment(E)) | (~subpopulations(S1, S2, E, T)) | ((~((~greater_or_equal(growth_rate(S2, T), zero)) | (~greater(zero, growth_rate(S1, T))))) <=> outcompetes(S2, S1, T)))) | (~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | ((~((~greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)) | (~greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))) <=> outcompetes(efficient_producers, first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))),
% 0.55/0.68 inference(modus_ponens,[status(thm)],[713, 712])).
% 0.55/0.68 tff(715,plain,
% 0.55/0.68 ((~((~greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)) | (~greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))) <=> outcompetes(efficient_producers, first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2)))),
% 0.55/0.68 inference(unit_resolution,[status(thm)],[714, 363, 41, 626])).
% 0.55/0.68 tff(716,plain,
% 0.55/0.68 ((outcompetes(efficient_producers, first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_T_0(E!2)))) | (~outcompetes(efficient_producers, first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))),
% 0.55/0.68 inference(tautology,[status(thm)],[])).
% 0.55/0.68 tff(717,plain,
% 0.55/0.68 (~outcompetes(efficient_producers, first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2)))),
% 0.55/0.68 inference(unit_resolution,[status(thm)],[716, 593])).
% 0.55/0.68 tff(718,plain,
% 0.55/0.68 ((~((~((~greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)) | (~greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))) <=> outcompetes(efficient_producers, first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | ((~greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)) | (~greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2)))))) | outcompetes(efficient_producers, first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2)))),
% 0.55/0.68 inference(tautology,[status(thm)],[])).
% 0.55/0.68 tff(719,plain,
% 0.55/0.68 ((~((~((~greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)) | (~greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))) <=> outcompetes(efficient_producers, first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | ((~greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)) | (~greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))),
% 0.55/0.68 inference(unit_resolution,[status(thm)],[718, 717])).
% 0.55/0.68 tff(720,plain,
% 0.55/0.68 ((~greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)) | (~greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2)))))),
% 0.55/0.68 inference(unit_resolution,[status(thm)],[719, 715])).
% 0.55/0.68 tff(721,plain,
% 0.55/0.68 ((~((~greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)) | (~greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))) | (~greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)) | (~greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2)))))),
% 0.55/0.68 inference(tautology,[status(thm)],[])).
% 0.55/0.68 tff(722,plain,
% 0.55/0.68 ((~greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)) | (~greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2)))))),
% 0.55/0.68 inference(unit_resolution,[status(thm)],[721, 720])).
% 0.55/0.68 tff(723,plain,
% 0.55/0.68 (~greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)),
% 0.55/0.68 inference(unit_resolution,[status(thm)],[722, 711])).
% 0.55/0.68 tff(724,plain,
% 0.55/0.68 (((~decreases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~increases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2)))))) | increases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))),
% 0.55/0.68 inference(tautology,[status(thm)],[])).
% 0.55/0.68 tff(725,plain,
% 0.55/0.68 (increases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))),
% 0.55/0.68 inference(unit_resolution,[status(thm)],[724, 692])).
% 0.55/0.68 tff(726,plain,
% 0.55/0.68 (((~greater(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)) | (~greater(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero))) | greater(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)),
% 0.55/0.68 inference(tautology,[status(thm)],[])).
% 0.55/0.68 tff(727,plain,
% 0.55/0.68 (greater(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)),
% 0.55/0.68 inference(unit_resolution,[status(thm)],[726, 700])).
% 0.55/0.68 tff(728,plain,
% 0.55/0.68 (((~![X: $i, E: $i, T: $i] : ((~environment(E)) | (~in_environment(E, T)) | (~subpopulation(X, E, T)) | (~greater(cardinality_at_time(X, T), zero)) | (~((~((~constant(cardinality_at_time(X, T))) | (growth_rate(X, T) = zero))) | (~((~increases(cardinality_at_time(X, T))) | greater(growth_rate(X, T), zero))) | (~((~decreases(cardinality_at_time(X, T))) | greater(zero, growth_rate(X, T)))))))) | ((~environment(E!2)) | (~in_environment(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~subpopulation(efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~greater(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)) | (~((~((~constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))) = zero))) | (~((~increases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero))) | (~((~decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2)))))))))) <=> ((~![X: $i, E: $i, T: $i] : ((~environment(E)) | (~in_environment(E, T)) | (~subpopulation(X, E, T)) | (~greater(cardinality_at_time(X, T), zero)) | (~((~((~constant(cardinality_at_time(X, T))) | (growth_rate(X, T) = zero))) | (~((~increases(cardinality_at_time(X, T))) | greater(growth_rate(X, T), zero))) | (~((~decreases(cardinality_at_time(X, T))) | greater(zero, growth_rate(X, T)))))))) | (~environment(E!2)) | (~in_environment(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~subpopulation(efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~greater(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)) | (~((~((~constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))) = zero))) | (~((~increases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero))) | (~((~decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2)))))))))),
% 0.55/0.68 inference(rewrite,[status(thm)],[])).
% 0.55/0.68 tff(729,plain,
% 0.55/0.68 ((~![X: $i, E: $i, T: $i] : ((~environment(E)) | (~in_environment(E, T)) | (~subpopulation(X, E, T)) | (~greater(cardinality_at_time(X, T), zero)) | (~((~((~constant(cardinality_at_time(X, T))) | (growth_rate(X, T) = zero))) | (~((~increases(cardinality_at_time(X, T))) | greater(growth_rate(X, T), zero))) | (~((~decreases(cardinality_at_time(X, T))) | greater(zero, growth_rate(X, T)))))))) | ((~environment(E!2)) | (~in_environment(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~subpopulation(efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~greater(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)) | (~((~((~constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))) = zero))) | (~((~increases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero))) | (~((~decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2)))))))))),
% 0.55/0.68 inference(quant_inst,[status(thm)],[])).
% 0.55/0.68 tff(730,plain,
% 0.55/0.68 ((~![X: $i, E: $i, T: $i] : ((~environment(E)) | (~in_environment(E, T)) | (~subpopulation(X, E, T)) | (~greater(cardinality_at_time(X, T), zero)) | (~((~((~constant(cardinality_at_time(X, T))) | (growth_rate(X, T) = zero))) | (~((~increases(cardinality_at_time(X, T))) | greater(growth_rate(X, T), zero))) | (~((~decreases(cardinality_at_time(X, T))) | greater(zero, growth_rate(X, T)))))))) | (~environment(E!2)) | (~in_environment(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~subpopulation(efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~greater(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)) | (~((~((~constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))) = zero))) | (~((~increases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero))) | (~((~decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))))),
% 0.55/0.68 inference(modus_ponens,[status(thm)],[729, 728])).
% 0.55/0.68 tff(731,plain,
% 0.55/0.68 (~((~((~constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))) = zero))) | (~((~increases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero))) | (~((~decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2)))))))),
% 0.55/0.68 inference(unit_resolution,[status(thm)],[730, 298, 41, 727, 640, 667])).
% 0.55/0.68 tff(732,plain,
% 0.55/0.68 (((~((~constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))) = zero))) | (~((~increases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero))) | (~((~decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))) | ((~increases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero))),
% 0.55/0.68 inference(tautology,[status(thm)],[])).
% 0.55/0.68 tff(733,plain,
% 0.55/0.68 ((~increases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)),
% 0.55/0.68 inference(unit_resolution,[status(thm)],[732, 731])).
% 0.55/0.68 tff(734,plain,
% 0.55/0.68 ((~((~increases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero))) | (~increases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)),
% 0.55/0.68 inference(tautology,[status(thm)],[])).
% 0.55/0.68 tff(735,plain,
% 0.55/0.68 ((~increases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)),
% 0.55/0.68 inference(unit_resolution,[status(thm)],[734, 733])).
% 0.55/0.68 tff(736,plain,
% 0.55/0.68 (greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)),
% 0.55/0.68 inference(unit_resolution,[status(thm)],[735, 725])).
% 0.55/0.68 tff(737,plain,
% 0.55/0.68 (((growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))) = zero) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)) | (~greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero))),
% 0.55/0.68 inference(tautology,[status(thm)],[])).
% 0.55/0.68 tff(738,plain,
% 0.55/0.68 ((growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))) = zero) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)),
% 0.55/0.68 inference(unit_resolution,[status(thm)],[737, 736])).
% 0.55/0.68 tff(739,plain,
% 0.55/0.68 ((~(greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero) <=> ((growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))) = zero) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)))) | greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero) | (~((growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))) = zero) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)))),
% 0.55/0.68 inference(tautology,[status(thm)],[])).
% 0.55/0.68 tff(740,plain,
% 0.55/0.68 ($false),
% 0.55/0.68 inference(unit_resolution,[status(thm)],[739, 738, 723, 691])).
% 0.55/0.68 tff(741,plain,((~decreases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~increases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2)))))), inference(lemma,lemma(discharge,[]))).
% 0.55/0.68 tff(742,plain,
% 0.55/0.68 (((~![A: $i, B: $i, C: $i] : ((~((~decreases(B)) | (~increases(C)))) | (~((~increases(B)) | (~decreases(C)))) | (~((~constant(B)) | (~constant(C)))) | (~(A = sum(B, C))) | (~constant(A)))) | ((~((~decreases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~increases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))) | (~((~decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))) | (~((~constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~constant(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))) | (~constant(sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2)))))))) <=> ((~![A: $i, B: $i, C: $i] : ((~((~decreases(B)) | (~increases(C)))) | (~((~increases(B)) | (~decreases(C)))) | (~((~constant(B)) | (~constant(C)))) | (~(A = sum(B, C))) | (~constant(A)))) | (~((~decreases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~increases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))) | (~((~decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))) | (~((~constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~constant(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))) | (~constant(sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2)))))))),
% 0.55/0.68 inference(rewrite,[status(thm)],[])).
% 0.55/0.68 tff(743,plain,
% 0.55/0.68 (((~((~decreases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~increases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))) | (~((~decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))) | (~((~constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~constant(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))) | $false | (~constant(sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))) <=> ((~((~decreases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~increases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))) | (~((~decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))) | (~((~constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~constant(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))) | (~constant(sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2)))))))),
% 0.55/0.68 inference(rewrite,[status(thm)],[])).
% 0.55/0.68 tff(744,plain,
% 0.55/0.68 ((sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2)))) = sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) <=> $true),
% 0.55/0.68 inference(rewrite,[status(thm)],[])).
% 0.55/0.68 tff(745,plain,
% 0.55/0.68 ((~(sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2)))) = sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2)))))) <=> (~$true)),
% 0.55/0.68 inference(monotonicity,[status(thm)],[744])).
% 0.55/0.68 tff(746,plain,
% 0.55/0.68 ((~(sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2)))) = sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2)))))) <=> $false),
% 0.55/0.68 inference(transitivity,[status(thm)],[745, 419])).
% 0.55/0.68 tff(747,plain,
% 0.55/0.68 ((~((~constant(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))) <=> (~((~constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~constant(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2)))))))),
% 0.55/0.68 inference(rewrite,[status(thm)],[])).
% 0.55/0.68 tff(748,plain,
% 0.55/0.68 ((~((~increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))) <=> (~((~decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2)))))))),
% 0.55/0.68 inference(rewrite,[status(thm)],[])).
% 0.55/0.68 tff(749,plain,
% 0.55/0.68 (((~((~decreases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~increases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))) | (~((~increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))) | (~((~constant(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))) | (~(sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2)))) = sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2)))))) | (~constant(sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))) <=> ((~((~decreases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~increases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))) | (~((~decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))) | (~((~constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~constant(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))) | $false | (~constant(sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2)))))))),
% 0.55/0.69 inference(monotonicity,[status(thm)],[748, 747, 746])).
% 0.55/0.69 tff(750,plain,
% 0.55/0.69 (((~((~decreases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~increases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))) | (~((~increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))) | (~((~constant(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))) | (~(sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2)))) = sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2)))))) | (~constant(sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))) <=> ((~((~decreases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~increases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))) | (~((~decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))) | (~((~constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~constant(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))) | (~constant(sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2)))))))),
% 0.55/0.69 inference(transitivity,[status(thm)],[749, 743])).
% 0.55/0.69 tff(751,plain,
% 0.55/0.69 (((~![A: $i, B: $i, C: $i] : ((~((~decreases(B)) | (~increases(C)))) | (~((~increases(B)) | (~decreases(C)))) | (~((~constant(B)) | (~constant(C)))) | (~(A = sum(B, C))) | (~constant(A)))) | ((~((~decreases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~increases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))) | (~((~increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))) | (~((~constant(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))) | (~(sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2)))) = sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2)))))) | (~constant(sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2)))))))) <=> ((~![A: $i, B: $i, C: $i] : ((~((~decreases(B)) | (~increases(C)))) | (~((~increases(B)) | (~decreases(C)))) | (~((~constant(B)) | (~constant(C)))) | (~(A = sum(B, C))) | (~constant(A)))) | ((~((~decreases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~increases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))) | (~((~decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))) | (~((~constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~constant(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))) | (~constant(sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))))),
% 0.55/0.69 inference(monotonicity,[status(thm)],[750])).
% 0.55/0.69 tff(752,plain,
% 0.55/0.69 (((~![A: $i, B: $i, C: $i] : ((~((~decreases(B)) | (~increases(C)))) | (~((~increases(B)) | (~decreases(C)))) | (~((~constant(B)) | (~constant(C)))) | (~(A = sum(B, C))) | (~constant(A)))) | ((~((~decreases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~increases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))) | (~((~increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))) | (~((~constant(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))) | (~(sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2)))) = sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2)))))) | (~constant(sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2)))))))) <=> ((~![A: $i, B: $i, C: $i] : ((~((~decreases(B)) | (~increases(C)))) | (~((~increases(B)) | (~decreases(C)))) | (~((~constant(B)) | (~constant(C)))) | (~(A = sum(B, C))) | (~constant(A)))) | (~((~decreases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~increases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))) | (~((~decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))) | (~((~constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~constant(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))) | (~constant(sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2)))))))),
% 0.55/0.69 inference(transitivity,[status(thm)],[751, 742])).
% 0.55/0.69 tff(753,plain,
% 0.55/0.69 ((~![A: $i, B: $i, C: $i] : ((~((~decreases(B)) | (~increases(C)))) | (~((~increases(B)) | (~decreases(C)))) | (~((~constant(B)) | (~constant(C)))) | (~(A = sum(B, C))) | (~constant(A)))) | ((~((~decreases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~increases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))) | (~((~increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))) | (~((~constant(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))) | (~(sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2)))) = sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2)))))) | (~constant(sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2)))))))),
% 0.55/0.69 inference(quant_inst,[status(thm)],[])).
% 0.55/0.69 tff(754,plain,
% 0.55/0.69 ((~![A: $i, B: $i, C: $i] : ((~((~decreases(B)) | (~increases(C)))) | (~((~increases(B)) | (~decreases(C)))) | (~((~constant(B)) | (~constant(C)))) | (~(A = sum(B, C))) | (~constant(A)))) | (~((~decreases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~increases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))) | (~((~decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))) | (~((~constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~constant(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))) | (~constant(sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))),
% 0.55/0.69 inference(modus_ponens,[status(thm)],[753, 752])).
% 0.55/0.69 tff(755,plain,
% 0.55/0.69 (~constant(sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2)))))),
% 0.55/0.69 inference(unit_resolution,[status(thm)],[754, 453, 741, 687, 624])).
% 0.55/0.69 tff(756,plain,
% 0.55/0.69 ($false),
% 0.55/0.69 inference(unit_resolution,[status(thm)],[755, 686])).
% 0.55/0.69 tff(757,plain,((~constant(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~((~decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))) | (~((~constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~constant(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2)))))))), inference(lemma,lemma(discharge,[]))).
% 0.55/0.69 tff(758,plain,
% 0.55/0.69 (~((~decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))),
% 0.55/0.69 inference(unit_resolution,[status(thm)],[757, 661, 624])).
% 0.55/0.69 tff(759,plain,
% 0.55/0.69 (((~decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2)))))) | increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))),
% 0.55/0.69 inference(tautology,[status(thm)],[])).
% 0.55/0.69 tff(760,plain,
% 0.55/0.69 (increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))),
% 0.55/0.69 inference(unit_resolution,[status(thm)],[759, 758])).
% 0.55/0.69 tff(761,plain,
% 0.55/0.69 (((~((~constant(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))) = zero))) | (~((~increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero))) | (~((~decreases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))) | ((~increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero))),
% 0.55/0.69 inference(tautology,[status(thm)],[])).
% 0.55/0.69 tff(762,plain,
% 0.55/0.69 ((~increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)),
% 0.55/0.69 inference(unit_resolution,[status(thm)],[761, 706])).
% 0.55/0.69 tff(763,plain,
% 0.55/0.69 ((~((~increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero))) | (~increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)),
% 0.55/0.69 inference(tautology,[status(thm)],[])).
% 0.55/0.69 tff(764,plain,
% 0.55/0.69 ((~increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)),
% 0.55/0.69 inference(unit_resolution,[status(thm)],[763, 762])).
% 0.55/0.69 tff(765,plain,
% 0.55/0.69 (greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)),
% 0.55/0.69 inference(unit_resolution,[status(thm)],[764, 760])).
% 0.55/0.69 tff(766,plain,
% 0.55/0.69 (((~decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2)))))) | decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))),
% 0.55/0.69 inference(tautology,[status(thm)],[])).
% 0.55/0.69 tff(767,plain,
% 0.55/0.69 (decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))),
% 0.55/0.69 inference(unit_resolution,[status(thm)],[766, 758])).
% 0.55/0.69 tff(768,plain,
% 0.55/0.69 (((~((~constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))) = zero))) | (~((~increases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero))) | (~((~decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))) | ((~decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2)))))),
% 0.55/0.69 inference(tautology,[status(thm)],[])).
% 0.55/0.69 tff(769,plain,
% 0.55/0.69 ((~decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))),
% 0.55/0.69 inference(unit_resolution,[status(thm)],[768, 731])).
% 0.55/0.69 tff(770,plain,
% 0.55/0.69 ((~((~decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2)))))) | (~decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))),
% 0.55/0.69 inference(tautology,[status(thm)],[])).
% 0.55/0.69 tff(771,plain,
% 0.55/0.69 ((~decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))),
% 0.55/0.69 inference(unit_resolution,[status(thm)],[770, 769])).
% 0.55/0.69 tff(772,plain,
% 0.55/0.69 (greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))),
% 0.55/0.69 inference(unit_resolution,[status(thm)],[771, 767])).
% 0.55/0.69 tff(773,plain,
% 0.55/0.69 (((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | ((~greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)) | greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2)))))) <=> ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (~greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)) | greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2)))))),
% 0.55/0.69 inference(rewrite,[status(thm)],[])).
% 0.55/0.69 tff(774,plain,
% 0.55/0.69 ((greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero))) <=> ((~greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)) | greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2)))))),
% 0.55/0.69 inference(rewrite,[status(thm)],[])).
% 0.55/0.69 tff(775,plain,
% 0.55/0.69 (((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)))) <=> ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | ((~greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)) | greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))),
% 0.55/0.70 inference(monotonicity,[status(thm)],[774])).
% 0.55/0.70 tff(776,plain,
% 0.55/0.70 (((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)))) <=> ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (~greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)) | greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2)))))),
% 0.55/0.70 inference(transitivity,[status(thm)],[775, 773])).
% 0.55/0.70 tff(777,plain,
% 0.55/0.70 ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)))),
% 0.55/0.70 inference(quant_inst,[status(thm)],[])).
% 0.55/0.70 tff(778,plain,
% 0.55/0.70 ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (~greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)) | greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))),
% 0.55/0.70 inference(modus_ponens,[status(thm)],[777, 776])).
% 0.55/0.70 tff(779,plain,
% 0.55/0.70 (greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))),
% 0.55/0.70 inference(unit_resolution,[status(thm)],[778, 206, 772, 765])).
% 0.55/0.70 tff(780,plain,
% 0.55/0.70 (((~![X: $i, Y: $i] : ((~greater(X, Y)) | (~greater(Y, X)))) | ((~greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))) <=> ((~![X: $i, Y: $i] : ((~greater(X, Y)) | (~greater(Y, X)))) | (~greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))),
% 0.55/0.70 inference(rewrite,[status(thm)],[])).
% 0.55/0.70 tff(781,plain,
% 0.55/0.70 ((~![X: $i, Y: $i] : ((~greater(X, Y)) | (~greater(Y, X)))) | ((~greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))),
% 0.55/0.70 inference(quant_inst,[status(thm)],[])).
% 0.55/0.70 tff(782,plain,
% 0.55/0.70 ((~![X: $i, Y: $i] : ((~greater(X, Y)) | (~greater(Y, X)))) | (~greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2)))))),
% 0.55/0.70 inference(modus_ponens,[status(thm)],[781, 780])).
% 0.55/0.70 tff(783,plain,
% 0.55/0.70 (~greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))),
% 0.55/0.70 inference(unit_resolution,[status(thm)],[782, 143, 779])).
% 0.55/0.70 tff(784,plain,
% 0.55/0.70 (((~![T: $i] : (greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T)) | (~subpopulations(first_movers, efficient_producers, E!2, T)) | (~greater_or_equal(T, tptp_fun_To_1(E!2))))) | ((~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_To_1(E!2))))) <=> ((~![T: $i] : (greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T)) | (~subpopulations(first_movers, efficient_producers, E!2, T)) | (~greater_or_equal(T, tptp_fun_To_1(E!2))))) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_To_1(E!2))))),
% 0.55/0.70 inference(rewrite,[status(thm)],[])).
% 0.55/0.70 tff(785,plain,
% 0.55/0.70 ((greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_To_1(E!2)))) <=> ((~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_To_1(E!2))))),
% 0.55/0.70 inference(rewrite,[status(thm)],[])).
% 0.55/0.70 tff(786,plain,
% 0.55/0.70 (((~![T: $i] : (greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T)) | (~subpopulations(first_movers, efficient_producers, E!2, T)) | (~greater_or_equal(T, tptp_fun_To_1(E!2))))) | (greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_To_1(E!2))))) <=> ((~![T: $i] : (greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T)) | (~subpopulations(first_movers, efficient_producers, E!2, T)) | (~greater_or_equal(T, tptp_fun_To_1(E!2))))) | ((~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_To_1(E!2)))))),
% 0.55/0.70 inference(monotonicity,[status(thm)],[785])).
% 0.55/0.70 tff(787,plain,
% 0.55/0.70 (((~![T: $i] : (greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T)) | (~subpopulations(first_movers, efficient_producers, E!2, T)) | (~greater_or_equal(T, tptp_fun_To_1(E!2))))) | (greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_To_1(E!2))))) <=> ((~![T: $i] : (greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T)) | (~subpopulations(first_movers, efficient_producers, E!2, T)) | (~greater_or_equal(T, tptp_fun_To_1(E!2))))) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_To_1(E!2))))),
% 0.55/0.70 inference(transitivity,[status(thm)],[786, 784])).
% 0.55/0.70 tff(788,plain,
% 0.55/0.70 ((~![T: $i] : (greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T)) | (~subpopulations(first_movers, efficient_producers, E!2, T)) | (~greater_or_equal(T, tptp_fun_To_1(E!2))))) | (greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_To_1(E!2))))),
% 0.55/0.70 inference(quant_inst,[status(thm)],[])).
% 0.55/0.70 tff(789,plain,
% 0.55/0.70 ((~![T: $i] : (greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T)) | (~subpopulations(first_movers, efficient_producers, E!2, T)) | (~greater_or_equal(T, tptp_fun_To_1(E!2))))) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_To_1(E!2)))),
% 0.55/0.70 inference(modus_ponens,[status(thm)],[788, 787])).
% 0.55/0.70 tff(790,plain,
% 0.55/0.70 (greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_To_1(E!2)))),
% 0.55/0.70 inference(unit_resolution,[status(thm)],[789, 228, 626])).
% 0.55/0.70 tff(791,plain,
% 0.55/0.70 (~greater_or_equal(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_To_1(E!2))),
% 0.55/0.70 inference(unit_resolution,[status(thm)],[790, 783])).
% 0.55/0.70 tff(792,plain,
% 0.55/0.70 ((~(greater_or_equal(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_To_1(E!2)) <=> ((tptp_fun_T_3(tptp_fun_T_0(E!2)) = tptp_fun_To_1(E!2)) | greater(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_To_1(E!2))))) | greater_or_equal(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_To_1(E!2)) | (~((tptp_fun_T_3(tptp_fun_T_0(E!2)) = tptp_fun_To_1(E!2)) | greater(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_To_1(E!2))))),
% 0.55/0.70 inference(tautology,[status(thm)],[])).
% 0.55/0.70 tff(793,plain,
% 0.55/0.70 ((~(greater_or_equal(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_To_1(E!2)) <=> ((tptp_fun_T_3(tptp_fun_T_0(E!2)) = tptp_fun_To_1(E!2)) | greater(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_To_1(E!2))))) | (~((tptp_fun_T_3(tptp_fun_T_0(E!2)) = tptp_fun_To_1(E!2)) | greater(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_To_1(E!2))))),
% 0.55/0.70 inference(unit_resolution,[status(thm)],[792, 791])).
% 0.55/0.70 tff(794,plain,
% 0.55/0.70 (~((tptp_fun_T_3(tptp_fun_T_0(E!2)) = tptp_fun_To_1(E!2)) | greater(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_To_1(E!2)))),
% 0.55/0.70 inference(unit_resolution,[status(thm)],[793, 15])).
% 0.55/0.70 tff(795,plain,
% 0.55/0.70 (((tptp_fun_T_3(tptp_fun_T_0(E!2)) = tptp_fun_To_1(E!2)) | greater(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_To_1(E!2))) | (~(tptp_fun_T_3(tptp_fun_T_0(E!2)) = tptp_fun_To_1(E!2)))),
% 0.55/0.70 inference(tautology,[status(thm)],[])).
% 0.55/0.70 tff(796,plain,
% 0.55/0.70 (~(tptp_fun_T_3(tptp_fun_T_0(E!2)) = tptp_fun_To_1(E!2))),
% 0.55/0.70 inference(unit_resolution,[status(thm)],[795, 794])).
% 0.55/0.70 tff(797,plain,
% 0.55/0.70 (~(tptp_fun_To_1(E!2) = tptp_fun_T_3(tptp_fun_T_0(E!2)))),
% 0.55/0.70 inference(modus_ponens,[status(thm)],[796, 3])).
% 0.55/0.70 tff(798,plain,
% 0.55/0.70 (((tptp_fun_T_3(tptp_fun_T_0(E!2)) = tptp_fun_To_1(E!2)) | greater(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_To_1(E!2))) | (~greater(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_To_1(E!2)))),
% 0.55/0.70 inference(tautology,[status(thm)],[])).
% 0.55/0.70 tff(799,plain,
% 0.55/0.70 (~greater(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_To_1(E!2))),
% 0.55/0.70 inference(unit_resolution,[status(thm)],[798, 794])).
% 0.55/0.70 tff(800,plain,
% 0.55/0.70 (((~![E: $i, T1: $i, T2: $i] : (greater(T1, T2) | greater(T2, T1) | (T2 = T1) | (~in_environment(E, T1)) | (~in_environment(E, T2)))) | ((~in_environment(E!2, tptp_fun_To_1(E!2))) | (~in_environment(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | greater(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_To_1(E!2)) | greater(tptp_fun_To_1(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2))) | (tptp_fun_To_1(E!2) = tptp_fun_T_3(tptp_fun_T_0(E!2))))) <=> ((~![E: $i, T1: $i, T2: $i] : (greater(T1, T2) | greater(T2, T1) | (T2 = T1) | (~in_environment(E, T1)) | (~in_environment(E, T2)))) | (~in_environment(E!2, tptp_fun_To_1(E!2))) | (~in_environment(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | greater(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_To_1(E!2)) | greater(tptp_fun_To_1(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2))) | (tptp_fun_To_1(E!2) = tptp_fun_T_3(tptp_fun_T_0(E!2))))),
% 0.55/0.71 inference(rewrite,[status(thm)],[])).
% 0.55/0.71 tff(801,plain,
% 0.55/0.71 ((greater(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_To_1(E!2)) | greater(tptp_fun_To_1(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2))) | (tptp_fun_To_1(E!2) = tptp_fun_T_3(tptp_fun_T_0(E!2))) | (~in_environment(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~in_environment(E!2, tptp_fun_To_1(E!2)))) <=> ((~in_environment(E!2, tptp_fun_To_1(E!2))) | (~in_environment(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | greater(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_To_1(E!2)) | greater(tptp_fun_To_1(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2))) | (tptp_fun_To_1(E!2) = tptp_fun_T_3(tptp_fun_T_0(E!2))))),
% 0.55/0.71 inference(rewrite,[status(thm)],[])).
% 0.55/0.71 tff(802,plain,
% 0.55/0.71 (((~![E: $i, T1: $i, T2: $i] : (greater(T1, T2) | greater(T2, T1) | (T2 = T1) | (~in_environment(E, T1)) | (~in_environment(E, T2)))) | (greater(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_To_1(E!2)) | greater(tptp_fun_To_1(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2))) | (tptp_fun_To_1(E!2) = tptp_fun_T_3(tptp_fun_T_0(E!2))) | (~in_environment(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~in_environment(E!2, tptp_fun_To_1(E!2))))) <=> ((~![E: $i, T1: $i, T2: $i] : (greater(T1, T2) | greater(T2, T1) | (T2 = T1) | (~in_environment(E, T1)) | (~in_environment(E, T2)))) | ((~in_environment(E!2, tptp_fun_To_1(E!2))) | (~in_environment(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | greater(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_To_1(E!2)) | greater(tptp_fun_To_1(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2))) | (tptp_fun_To_1(E!2) = tptp_fun_T_3(tptp_fun_T_0(E!2)))))),
% 0.55/0.71 inference(monotonicity,[status(thm)],[801])).
% 0.55/0.71 tff(803,plain,
% 0.55/0.71 (((~![E: $i, T1: $i, T2: $i] : (greater(T1, T2) | greater(T2, T1) | (T2 = T1) | (~in_environment(E, T1)) | (~in_environment(E, T2)))) | (greater(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_To_1(E!2)) | greater(tptp_fun_To_1(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2))) | (tptp_fun_To_1(E!2) = tptp_fun_T_3(tptp_fun_T_0(E!2))) | (~in_environment(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~in_environment(E!2, tptp_fun_To_1(E!2))))) <=> ((~![E: $i, T1: $i, T2: $i] : (greater(T1, T2) | greater(T2, T1) | (T2 = T1) | (~in_environment(E, T1)) | (~in_environment(E, T2)))) | (~in_environment(E!2, tptp_fun_To_1(E!2))) | (~in_environment(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | greater(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_To_1(E!2)) | greater(tptp_fun_To_1(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2))) | (tptp_fun_To_1(E!2) = tptp_fun_T_3(tptp_fun_T_0(E!2))))),
% 0.55/0.71 inference(transitivity,[status(thm)],[802, 800])).
% 0.55/0.71 tff(804,plain,
% 0.55/0.71 ((~![E: $i, T1: $i, T2: $i] : (greater(T1, T2) | greater(T2, T1) | (T2 = T1) | (~in_environment(E, T1)) | (~in_environment(E, T2)))) | (greater(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_To_1(E!2)) | greater(tptp_fun_To_1(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2))) | (tptp_fun_To_1(E!2) = tptp_fun_T_3(tptp_fun_T_0(E!2))) | (~in_environment(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~in_environment(E!2, tptp_fun_To_1(E!2))))),
% 0.55/0.71 inference(quant_inst,[status(thm)],[])).
% 0.55/0.71 tff(805,plain,
% 0.55/0.71 ((~![E: $i, T1: $i, T2: $i] : (greater(T1, T2) | greater(T2, T1) | (T2 = T1) | (~in_environment(E, T1)) | (~in_environment(E, T2)))) | (~in_environment(E!2, tptp_fun_To_1(E!2))) | (~in_environment(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | greater(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_To_1(E!2)) | greater(tptp_fun_To_1(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2))) | (tptp_fun_To_1(E!2) = tptp_fun_T_3(tptp_fun_T_0(E!2)))),
% 0.55/0.71 inference(modus_ponens,[status(thm)],[804, 803])).
% 0.55/0.71 tff(806,plain,
% 0.55/0.71 (greater(tptp_fun_To_1(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2))) | (tptp_fun_To_1(E!2) = tptp_fun_T_3(tptp_fun_T_0(E!2)))),
% 0.55/0.71 inference(unit_resolution,[status(thm)],[805, 122, 63, 640, 799])).
% 0.55/0.71 tff(807,plain,
% 0.55/0.71 (greater(tptp_fun_To_1(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2)))),
% 0.55/0.71 inference(unit_resolution,[status(thm)],[806, 797])).
% 0.55/0.71 tff(808,assumption,(greater(equilibrium(E!2), tptp_fun_To_1(E!2))), introduced(assumption)).
% 0.55/0.71 tff(809,plain,
% 0.55/0.71 (((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | ((~greater(equilibrium(E!2), tptp_fun_To_1(E!2))) | greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2))) | (~greater(tptp_fun_To_1(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2)))))) <=> ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (~greater(equilibrium(E!2), tptp_fun_To_1(E!2))) | greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2))) | (~greater(tptp_fun_To_1(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2)))))),
% 0.55/0.71 inference(rewrite,[status(thm)],[])).
% 0.55/0.71 tff(810,plain,
% 0.55/0.71 ((greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2))) | (~greater(tptp_fun_To_1(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~greater(equilibrium(E!2), tptp_fun_To_1(E!2)))) <=> ((~greater(equilibrium(E!2), tptp_fun_To_1(E!2))) | greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2))) | (~greater(tptp_fun_To_1(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2)))))),
% 0.55/0.71 inference(rewrite,[status(thm)],[])).
% 0.55/0.71 tff(811,plain,
% 0.55/0.71 (((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2))) | (~greater(tptp_fun_To_1(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~greater(equilibrium(E!2), tptp_fun_To_1(E!2))))) <=> ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | ((~greater(equilibrium(E!2), tptp_fun_To_1(E!2))) | greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2))) | (~greater(tptp_fun_To_1(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2))))))),
% 0.55/0.71 inference(monotonicity,[status(thm)],[810])).
% 0.55/0.71 tff(812,plain,
% 0.55/0.71 (((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2))) | (~greater(tptp_fun_To_1(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~greater(equilibrium(E!2), tptp_fun_To_1(E!2))))) <=> ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (~greater(equilibrium(E!2), tptp_fun_To_1(E!2))) | greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2))) | (~greater(tptp_fun_To_1(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2)))))),
% 0.55/0.71 inference(transitivity,[status(thm)],[811, 809])).
% 0.55/0.71 tff(813,plain,
% 0.55/0.71 ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2))) | (~greater(tptp_fun_To_1(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~greater(equilibrium(E!2), tptp_fun_To_1(E!2))))),
% 0.55/0.71 inference(quant_inst,[status(thm)],[])).
% 0.55/0.71 tff(814,plain,
% 0.55/0.71 ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (~greater(equilibrium(E!2), tptp_fun_To_1(E!2))) | greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2))) | (~greater(tptp_fun_To_1(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2))))),
% 0.55/0.71 inference(modus_ponens,[status(thm)],[813, 812])).
% 0.55/0.71 tff(815,plain,
% 0.55/0.71 ($false),
% 0.55/0.71 inference(unit_resolution,[status(thm)],[814, 206, 808, 610, 807])).
% 0.55/0.71 tff(816,plain,(greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2))) | (~greater(equilibrium(E!2), tptp_fun_To_1(E!2))) | (~((~constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~constant(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2)))))))), inference(lemma,lemma(discharge,[]))).
% 0.55/0.71 tff(817,plain,
% 0.55/0.71 ((~greater(equilibrium(E!2), tptp_fun_To_1(E!2))) | (~((~constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~constant(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2)))))))),
% 0.55/0.71 inference(unit_resolution,[status(thm)],[816, 607])).
% 0.55/0.71 tff(818,plain,
% 0.55/0.71 (~((~constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~constant(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))),
% 0.55/0.71 inference(unit_resolution,[status(thm)],[817, 623])).
% 0.55/0.71 tff(819,plain,
% 0.55/0.71 (((~constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~constant(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2)))))) | constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))),
% 0.55/0.71 inference(tautology,[status(thm)],[])).
% 0.55/0.71 tff(820,plain,
% 0.55/0.71 (constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))),
% 0.55/0.71 inference(unit_resolution,[status(thm)],[819, 818])).
% 0.55/0.71 tff(821,plain,
% 0.55/0.71 (((~((~constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))) = zero))) | (~((~increases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero))) | (~((~decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))) | ((~constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))) = zero))),
% 0.55/0.71 inference(tautology,[status(thm)],[])).
% 0.55/0.71 tff(822,plain,
% 0.55/0.71 ((~constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))) = zero)),
% 0.55/0.71 inference(unit_resolution,[status(thm)],[821, 731])).
% 0.55/0.71 tff(823,plain,
% 0.55/0.71 ((~((~constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))) = zero))) | (~constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))) = zero)),
% 0.55/0.71 inference(tautology,[status(thm)],[])).
% 0.55/0.71 tff(824,plain,
% 0.55/0.71 ((~constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))) = zero)),
% 0.55/0.71 inference(unit_resolution,[status(thm)],[823, 822])).
% 0.55/0.71 tff(825,plain,
% 0.55/0.71 (growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))) = zero),
% 0.55/0.71 inference(unit_resolution,[status(thm)],[824, 820])).
% 0.55/0.71 tff(826,plain,
% 0.55/0.71 (greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2)))) <=> greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))),
% 0.55/0.71 inference(monotonicity,[status(thm)],[825])).
% 0.55/0.71 tff(827,plain,
% 0.55/0.71 (greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2)))) <=> greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))),
% 0.55/0.71 inference(symmetry,[status(thm)],[826])).
% 0.55/0.71 tff(828,plain,
% 0.55/0.71 ((~greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) <=> (~greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2)))))),
% 0.55/0.71 inference(monotonicity,[status(thm)],[827])).
% 0.55/0.71 tff(829,plain,
% 0.55/0.71 (((growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))) = zero) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)) | (~(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))) = zero))),
% 0.55/0.71 inference(tautology,[status(thm)],[])).
% 0.55/0.71 tff(830,plain,
% 0.55/0.71 ((growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))) = zero) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)),
% 0.55/0.71 inference(unit_resolution,[status(thm)],[829, 825])).
% 0.55/0.71 tff(831,plain,
% 0.55/0.71 (greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero) | (~((growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))) = zero) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)))),
% 0.55/0.71 inference(unit_resolution,[status(thm)],[739, 691])).
% 0.55/0.71 tff(832,plain,
% 0.55/0.71 (greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)),
% 0.55/0.71 inference(unit_resolution,[status(thm)],[831, 830])).
% 0.55/0.71 tff(833,plain,
% 0.55/0.71 (~greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))),
% 0.55/0.71 inference(unit_resolution,[status(thm)],[722, 832])).
% 0.55/0.71 tff(834,plain,
% 0.55/0.71 (~greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))),
% 0.55/0.71 inference(modus_ponens,[status(thm)],[833, 828])).
% 0.55/0.71 tff(835,plain,
% 0.55/0.71 (~greater_or_equal(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_To_1(E!2))),
% 0.55/0.71 inference(unit_resolution,[status(thm)],[790, 834])).
% 0.55/0.71 tff(836,plain,
% 0.55/0.71 ((~(greater_or_equal(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_To_1(E!2)) <=> ((tptp_fun_T_3(tptp_fun_T_0(E!2)) = tptp_fun_To_1(E!2)) | greater(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_To_1(E!2))))) | (~((tptp_fun_T_3(tptp_fun_T_0(E!2)) = tptp_fun_To_1(E!2)) | greater(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_To_1(E!2))))),
% 0.55/0.71 inference(unit_resolution,[status(thm)],[792, 835])).
% 0.55/0.71 tff(837,plain,
% 0.55/0.71 (~((tptp_fun_T_3(tptp_fun_T_0(E!2)) = tptp_fun_To_1(E!2)) | greater(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_To_1(E!2)))),
% 0.55/0.71 inference(unit_resolution,[status(thm)],[836, 15])).
% 0.55/0.71 tff(838,plain,
% 0.55/0.71 (~(tptp_fun_T_3(tptp_fun_T_0(E!2)) = tptp_fun_To_1(E!2))),
% 0.55/0.71 inference(unit_resolution,[status(thm)],[795, 837])).
% 0.55/0.71 tff(839,plain,
% 0.55/0.71 (~(tptp_fun_To_1(E!2) = tptp_fun_T_3(tptp_fun_T_0(E!2)))),
% 0.55/0.71 inference(modus_ponens,[status(thm)],[838, 3])).
% 0.55/0.71 tff(840,plain,
% 0.55/0.71 (~greater(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_To_1(E!2))),
% 0.55/0.71 inference(unit_resolution,[status(thm)],[798, 837])).
% 0.55/0.71 tff(841,plain,
% 0.55/0.71 (greater(tptp_fun_To_1(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2))) | (tptp_fun_To_1(E!2) = tptp_fun_T_3(tptp_fun_T_0(E!2)))),
% 0.55/0.71 inference(unit_resolution,[status(thm)],[805, 122, 63, 640, 840])).
% 0.55/0.71 tff(842,plain,
% 0.55/0.71 ($false),
% 0.55/0.71 inference(unit_resolution,[status(thm)],[841, 839, 621])).
% 0.55/0.71 tff(843,plain,(~(tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))) = tptp_fun_To_1(E!2))), inference(lemma,lemma(discharge,[]))).
% 0.55/0.71 tff(844,plain,
% 0.55/0.71 ((~((tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))) = tptp_fun_To_1(E!2)) | greater(tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))), tptp_fun_To_1(E!2)))) | (tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))) = tptp_fun_To_1(E!2)) | greater(tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))), tptp_fun_To_1(E!2))),
% 0.55/0.71 inference(tautology,[status(thm)],[])).
% 0.55/0.71 tff(845,plain,
% 0.55/0.71 (greater(tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))), tptp_fun_To_1(E!2))),
% 0.55/0.71 inference(unit_resolution,[status(thm)],[844, 843, 214])).
% 0.55/0.71 tff(846,plain,
% 0.55/0.71 (((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (greater(equilibrium(E!2), tptp_fun_To_1(E!2)) | (~greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~greater(tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))), tptp_fun_To_1(E!2))))) <=> ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | greater(equilibrium(E!2), tptp_fun_To_1(E!2)) | (~greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~greater(tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))), tptp_fun_To_1(E!2))))),
% 0.55/0.71 inference(rewrite,[status(thm)],[])).
% 0.55/0.71 tff(847,plain,
% 0.55/0.71 ((greater(equilibrium(E!2), tptp_fun_To_1(E!2)) | (~greater(tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))), tptp_fun_To_1(E!2))) | (~greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2)))))) <=> (greater(equilibrium(E!2), tptp_fun_To_1(E!2)) | (~greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~greater(tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))), tptp_fun_To_1(E!2))))),
% 0.55/0.71 inference(rewrite,[status(thm)],[])).
% 0.55/0.71 tff(848,plain,
% 0.55/0.71 (((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (greater(equilibrium(E!2), tptp_fun_To_1(E!2)) | (~greater(tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))), tptp_fun_To_1(E!2))) | (~greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))))) <=> ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (greater(equilibrium(E!2), tptp_fun_To_1(E!2)) | (~greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~greater(tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))), tptp_fun_To_1(E!2)))))),
% 0.55/0.71 inference(monotonicity,[status(thm)],[847])).
% 0.55/0.71 tff(849,plain,
% 0.55/0.71 (((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (greater(equilibrium(E!2), tptp_fun_To_1(E!2)) | (~greater(tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))), tptp_fun_To_1(E!2))) | (~greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))))) <=> ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | greater(equilibrium(E!2), tptp_fun_To_1(E!2)) | (~greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~greater(tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))), tptp_fun_To_1(E!2))))),
% 0.55/0.71 inference(transitivity,[status(thm)],[848, 846])).
% 0.55/0.71 tff(850,plain,
% 0.55/0.71 ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (greater(equilibrium(E!2), tptp_fun_To_1(E!2)) | (~greater(tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))), tptp_fun_To_1(E!2))) | (~greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))))),
% 0.55/0.71 inference(quant_inst,[status(thm)],[])).
% 0.55/0.71 tff(851,plain,
% 0.55/0.71 ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | greater(equilibrium(E!2), tptp_fun_To_1(E!2)) | (~greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~greater(tptp_fun_T_3(tptp_fun_T_3(tptp_fun_To_1(E!2))), tptp_fun_To_1(E!2)))),
% 0.55/0.71 inference(modus_ponens,[status(thm)],[850, 849])).
% 0.55/0.71 tff(852,plain,
% 0.55/0.71 (greater(equilibrium(E!2), tptp_fun_To_1(E!2))),
% 0.55/0.71 inference(unit_resolution,[status(thm)],[851, 206, 538, 845])).
% 0.55/0.71 tff(853,plain,
% 0.55/0.71 (~((~constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~constant(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))),
% 0.55/0.71 inference(unit_resolution,[status(thm)],[817, 852])).
% 0.55/0.71 tff(854,plain,
% 0.55/0.71 (constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))),
% 0.55/0.71 inference(unit_resolution,[status(thm)],[819, 853])).
% 0.55/0.71 tff(855,plain,
% 0.55/0.71 (growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))) = zero),
% 0.55/0.71 inference(unit_resolution,[status(thm)],[824, 854])).
% 0.55/0.71 tff(856,plain,
% 0.55/0.71 (greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2)))) <=> greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))),
% 0.55/0.71 inference(monotonicity,[status(thm)],[855])).
% 0.55/0.71 tff(857,plain,
% 0.55/0.71 (greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2)))) <=> greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))),
% 0.55/0.71 inference(symmetry,[status(thm)],[856])).
% 0.55/0.71 tff(858,plain,
% 0.55/0.71 ((~greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) <=> (~greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2)))))),
% 0.55/0.71 inference(monotonicity,[status(thm)],[857])).
% 0.55/0.71 tff(859,plain,
% 0.55/0.71 ((growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))) = zero) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)),
% 0.55/0.71 inference(unit_resolution,[status(thm)],[829, 855])).
% 0.55/0.71 tff(860,plain,
% 0.55/0.71 (greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)),
% 0.55/0.71 inference(unit_resolution,[status(thm)],[831, 859])).
% 0.55/0.71 tff(861,plain,
% 0.55/0.71 (~greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))),
% 0.55/0.71 inference(unit_resolution,[status(thm)],[722, 860])).
% 0.55/0.71 tff(862,plain,
% 0.55/0.71 (~greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))),
% 0.55/0.71 inference(modus_ponens,[status(thm)],[861, 858])).
% 0.55/0.71 tff(863,plain,
% 0.55/0.71 (~greater_or_equal(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_To_1(E!2))),
% 0.55/0.72 inference(unit_resolution,[status(thm)],[790, 862])).
% 0.55/0.72 tff(864,plain,
% 0.55/0.72 ((~(greater_or_equal(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_To_1(E!2)) <=> ((tptp_fun_T_3(tptp_fun_T_0(E!2)) = tptp_fun_To_1(E!2)) | greater(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_To_1(E!2))))) | (~((tptp_fun_T_3(tptp_fun_T_0(E!2)) = tptp_fun_To_1(E!2)) | greater(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_To_1(E!2))))),
% 0.55/0.72 inference(unit_resolution,[status(thm)],[792, 863])).
% 0.55/0.72 tff(865,plain,
% 0.55/0.72 (~((tptp_fun_T_3(tptp_fun_T_0(E!2)) = tptp_fun_To_1(E!2)) | greater(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_To_1(E!2)))),
% 0.55/0.72 inference(unit_resolution,[status(thm)],[864, 15])).
% 0.55/0.72 tff(866,plain,
% 0.55/0.72 (~(tptp_fun_T_3(tptp_fun_T_0(E!2)) = tptp_fun_To_1(E!2))),
% 0.55/0.72 inference(unit_resolution,[status(thm)],[795, 865])).
% 0.55/0.72 tff(867,plain,
% 0.55/0.72 (~(tptp_fun_To_1(E!2) = tptp_fun_T_3(tptp_fun_T_0(E!2)))),
% 0.55/0.72 inference(modus_ponens,[status(thm)],[866, 3])).
% 0.55/0.72 tff(868,plain,
% 0.55/0.72 (~greater(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_To_1(E!2))),
% 0.55/0.72 inference(unit_resolution,[status(thm)],[798, 865])).
% 0.55/0.72 tff(869,plain,
% 0.55/0.72 (greater(tptp_fun_To_1(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2))) | (tptp_fun_To_1(E!2) = tptp_fun_T_3(tptp_fun_T_0(E!2)))),
% 0.55/0.72 inference(unit_resolution,[status(thm)],[805, 122, 63, 640, 868])).
% 0.55/0.72 tff(870,plain,
% 0.55/0.72 (greater(tptp_fun_To_1(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2)))),
% 0.55/0.72 inference(unit_resolution,[status(thm)],[869, 867])).
% 0.55/0.72 tff(871,plain,
% 0.55/0.72 ($false),
% 0.55/0.72 inference(unit_resolution,[status(thm)],[814, 206, 852, 607, 870])).
% 0.55/0.72 % SZS output end Proof
%------------------------------------------------------------------------------