TSTP Solution File: MGT021+1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : MGT021+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n004.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 05:21:54 EDT 2022
% Result : Theorem 0.21s 0.40s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : MGT021+1 : TPTP v8.1.0. Released v2.0.0.
% 0.07/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.14/0.34 % Computer : n004.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Fri Sep 2 02:37:19 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.14/0.35 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.14/0.35 Usage: tptp [options] [-file:]file
% 0.14/0.35 -h, -? prints this message.
% 0.14/0.35 -smt2 print SMT-LIB2 benchmark.
% 0.14/0.35 -m, -model generate model.
% 0.14/0.35 -p, -proof generate proof.
% 0.14/0.35 -c, -core generate unsat core of named formulas.
% 0.14/0.35 -st, -statistics display statistics.
% 0.14/0.35 -t:timeout set timeout (in second).
% 0.14/0.35 -smt2status display status in smt2 format instead of SZS.
% 0.14/0.35 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.14/0.35 -<param>:<value> configuration parameter and value.
% 0.14/0.35 -o:<output-file> file to place output in.
% 0.21/0.40 % SZS status Theorem
% 0.21/0.40 % SZS output start Proof
% 0.21/0.40 tff(greater_type, type, (
% 0.21/0.40 greater: ( $i * $i ) > $o)).
% 0.21/0.40 tff(tptp_fun_T_0_type, type, (
% 0.21/0.40 tptp_fun_T_0: $i)).
% 0.21/0.40 tff(equilibrium_type, type, (
% 0.21/0.40 equilibrium: $i > $i)).
% 0.21/0.40 tff(tptp_fun_E_1_type, type, (
% 0.21/0.40 tptp_fun_E_1: $i)).
% 0.21/0.40 tff(decreases_type, type, (
% 0.21/0.40 decreases: $i > $o)).
% 0.21/0.40 tff(resources_type, type, (
% 0.21/0.40 resources: ( $i * $i ) > $i)).
% 0.21/0.40 tff(constant_type, type, (
% 0.21/0.40 constant: $i > $o)).
% 0.21/0.40 tff(zero_type, type, (
% 0.21/0.40 zero: $i)).
% 0.21/0.40 tff(number_of_organizations_type, type, (
% 0.21/0.40 number_of_organizations: ( $i * $i ) > $i)).
% 0.21/0.40 tff(subpopulations_type, type, (
% 0.21/0.40 subpopulations: ( $i * $i * $i * $i ) > $o)).
% 0.21/0.40 tff(efficient_producers_type, type, (
% 0.21/0.40 efficient_producers: $i)).
% 0.21/0.40 tff(first_movers_type, type, (
% 0.21/0.40 first_movers: $i)).
% 0.21/0.40 tff(environment_type, type, (
% 0.21/0.40 environment: $i > $o)).
% 0.21/0.40 tff(difference_type, type, (
% 0.21/0.40 difference: ( $i * $i ) > $i)).
% 0.21/0.40 tff(disbanding_rate_type, type, (
% 0.21/0.40 disbanding_rate: ( $i * $i ) > $i)).
% 0.21/0.40 tff(in_environment_type, type, (
% 0.21/0.40 in_environment: ( $i * $i ) > $o)).
% 0.21/0.40 tff(increases_type, type, (
% 0.21/0.40 increases: $i > $o)).
% 0.21/0.40 tff(1,plain,
% 0.21/0.40 ((~![E: $i, T: $i] : ((~(environment(E) & subpopulations(first_movers, efficient_producers, E, T))) | (~decreases(difference(disbanding_rate(first_movers, T), disbanding_rate(efficient_producers, T)))))) <=> (~![E: $i, T: $i] : ((~(environment(E) & subpopulations(first_movers, efficient_producers, E, T))) | (~decreases(difference(disbanding_rate(first_movers, T), disbanding_rate(efficient_producers, T))))))),
% 0.21/0.40 inference(rewrite,[status(thm)],[])).
% 0.21/0.40 tff(2,plain,
% 0.21/0.40 ((~![E: $i, T: $i] : ((environment(E) & subpopulations(first_movers, efficient_producers, E, T)) => (~decreases(difference(disbanding_rate(first_movers, T), disbanding_rate(efficient_producers, T)))))) <=> (~![E: $i, T: $i] : ((~(environment(E) & subpopulations(first_movers, efficient_producers, E, T))) | (~decreases(difference(disbanding_rate(first_movers, T), disbanding_rate(efficient_producers, T))))))),
% 0.21/0.40 inference(rewrite,[status(thm)],[])).
% 0.21/0.40 tff(3,axiom,(~![E: $i, T: $i] : ((environment(E) & subpopulations(first_movers, efficient_producers, E, T)) => (~decreases(difference(disbanding_rate(first_movers, T), disbanding_rate(efficient_producers, T)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_l3')).
% 0.21/0.40 tff(4,plain,
% 0.21/0.40 (~![E: $i, T: $i] : ((~(environment(E) & subpopulations(first_movers, efficient_producers, E, T))) | (~decreases(difference(disbanding_rate(first_movers, T), disbanding_rate(efficient_producers, T)))))),
% 0.21/0.40 inference(modus_ponens,[status(thm)],[3, 2])).
% 0.21/0.40 tff(5,plain,
% 0.21/0.40 (~![E: $i, T: $i] : ((~(environment(E) & subpopulations(first_movers, efficient_producers, E, T))) | (~decreases(difference(disbanding_rate(first_movers, T), disbanding_rate(efficient_producers, T)))))),
% 0.21/0.40 inference(modus_ponens,[status(thm)],[4, 1])).
% 0.21/0.40 tff(6,plain,
% 0.21/0.40 (~![E: $i, T: $i] : ((~(environment(E) & subpopulations(first_movers, efficient_producers, E, T))) | (~decreases(difference(disbanding_rate(first_movers, T), disbanding_rate(efficient_producers, T)))))),
% 0.21/0.40 inference(modus_ponens,[status(thm)],[5, 1])).
% 0.21/0.40 tff(7,plain,
% 0.21/0.40 (~![E: $i, T: $i] : ((~(environment(E) & subpopulations(first_movers, efficient_producers, E, T))) | (~decreases(difference(disbanding_rate(first_movers, T), disbanding_rate(efficient_producers, T)))))),
% 0.21/0.40 inference(modus_ponens,[status(thm)],[6, 1])).
% 0.21/0.40 tff(8,plain,
% 0.21/0.40 (~![E: $i, T: $i] : ((~(environment(E) & subpopulations(first_movers, efficient_producers, E, T))) | (~decreases(difference(disbanding_rate(first_movers, T), disbanding_rate(efficient_producers, T)))))),
% 0.21/0.40 inference(modus_ponens,[status(thm)],[7, 1])).
% 0.21/0.40 tff(9,plain,
% 0.21/0.40 (~![E: $i, T: $i] : ((~(environment(E) & subpopulations(first_movers, efficient_producers, E, T))) | (~decreases(difference(disbanding_rate(first_movers, T), disbanding_rate(efficient_producers, T)))))),
% 0.21/0.40 inference(modus_ponens,[status(thm)],[8, 1])).
% 0.21/0.40 tff(10,plain,
% 0.21/0.40 (~![E: $i, T: $i] : ((~(environment(E) & subpopulations(first_movers, efficient_producers, E, T))) | (~decreases(difference(disbanding_rate(first_movers, T), disbanding_rate(efficient_producers, T)))))),
% 0.21/0.40 inference(modus_ponens,[status(thm)],[9, 1])).
% 0.21/0.40 tff(11,plain,(
% 0.21/0.40 ~((~(environment(E!1) & subpopulations(first_movers, efficient_producers, E!1, T!0))) | (~decreases(difference(disbanding_rate(first_movers, T!0), disbanding_rate(efficient_producers, T!0)))))),
% 0.21/0.40 inference(skolemize,[status(sab)],[10])).
% 0.21/0.40 tff(12,plain,
% 0.21/0.40 (environment(E!1) & subpopulations(first_movers, efficient_producers, E!1, T!0)),
% 0.21/0.40 inference(or_elim,[status(thm)],[11])).
% 0.21/0.40 tff(13,plain,
% 0.21/0.40 (subpopulations(first_movers, efficient_producers, E!1, T!0)),
% 0.21/0.40 inference(and_elim,[status(thm)],[12])).
% 0.21/0.40 tff(14,plain,
% 0.21/0.40 (environment(E!1)),
% 0.21/0.40 inference(and_elim,[status(thm)],[12])).
% 0.21/0.40 tff(15,plain,
% 0.21/0.40 (^[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))))),
% 0.21/0.40 inference(bind,[status(th)],[])).
% 0.21/0.40 tff(16,plain,
% 0.21/0.40 (![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)))),
% 0.21/0.40 inference(quant_intro,[status(thm)],[15])).
% 0.21/0.40 tff(17,plain,
% 0.21/0.40 (^[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)))))),
% 0.21/0.40 inference(bind,[status(th)],[])).
% 0.21/0.40 tff(18,plain,
% 0.21/0.40 (![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)))),
% 0.21/0.40 inference(quant_intro,[status(thm)],[17])).
% 0.21/0.40 tff(19,plain,
% 0.21/0.40 (![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))),
% 0.21/0.40 inference(rewrite,[status(thm)],[])).
% 0.21/0.40 tff(20,plain,
% 0.21/0.40 (^[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)))),
% 0.21/0.40 inference(bind,[status(th)],[])).
% 0.21/0.40 tff(21,plain,
% 0.21/0.40 (![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))),
% 0.21/0.40 inference(quant_intro,[status(thm)],[20])).
% 0.21/0.40 tff(22,axiom,(![E: $i, T: $i] : ((environment(E) & subpopulations(first_movers, efficient_producers, E, T)) => greater(number_of_organizations(E, T), zero))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','mp_environment_not_empty')).
% 0.21/0.40 tff(23,plain,
% 0.21/0.40 (![E: $i, T: $i] : ((~(environment(E) & subpopulations(first_movers, efficient_producers, E, T))) | greater(number_of_organizations(E, T), zero))),
% 0.21/0.40 inference(modus_ponens,[status(thm)],[22, 21])).
% 0.21/0.40 tff(24,plain,
% 0.21/0.40 (![E: $i, T: $i] : ((~(environment(E) & subpopulations(first_movers, efficient_producers, E, T))) | greater(number_of_organizations(E, T), zero))),
% 0.21/0.40 inference(modus_ponens,[status(thm)],[23, 19])).
% 0.21/0.40 tff(25,plain,(
% 0.21/0.40 ![E: $i, T: $i] : ((~(environment(E) & subpopulations(first_movers, efficient_producers, E, T))) | greater(number_of_organizations(E, T), zero))),
% 0.21/0.40 inference(skolemize,[status(sab)],[24])).
% 0.21/0.40 tff(26,plain,
% 0.21/0.40 (![E: $i, T: $i] : (greater(number_of_organizations(E, T), zero) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)))),
% 0.21/0.40 inference(modus_ponens,[status(thm)],[25, 18])).
% 0.21/0.40 tff(27,plain,
% 0.21/0.40 (![E: $i, T: $i] : (greater(number_of_organizations(E, T), zero) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)))),
% 0.21/0.40 inference(modus_ponens,[status(thm)],[26, 16])).
% 0.21/0.40 tff(28,plain,
% 0.21/0.40 (((~![E: $i, T: $i] : (greater(number_of_organizations(E, T), zero) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)))) | ((~environment(E!1)) | (~subpopulations(first_movers, efficient_producers, E!1, T!0)) | greater(number_of_organizations(E!1, T!0), zero))) <=> ((~![E: $i, T: $i] : (greater(number_of_organizations(E, T), zero) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)))) | (~environment(E!1)) | (~subpopulations(first_movers, efficient_producers, E!1, T!0)) | greater(number_of_organizations(E!1, T!0), zero))),
% 0.21/0.40 inference(rewrite,[status(thm)],[])).
% 0.21/0.40 tff(29,plain,
% 0.21/0.40 ((greater(number_of_organizations(E!1, T!0), zero) | (~environment(E!1)) | (~subpopulations(first_movers, efficient_producers, E!1, T!0))) <=> ((~environment(E!1)) | (~subpopulations(first_movers, efficient_producers, E!1, T!0)) | greater(number_of_organizations(E!1, T!0), zero))),
% 0.21/0.40 inference(rewrite,[status(thm)],[])).
% 0.21/0.40 tff(30,plain,
% 0.21/0.40 (((~![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!1, T!0), zero) | (~environment(E!1)) | (~subpopulations(first_movers, efficient_producers, E!1, T!0)))) <=> ((~![E: $i, T: $i] : (greater(number_of_organizations(E, T), zero) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)))) | ((~environment(E!1)) | (~subpopulations(first_movers, efficient_producers, E!1, T!0)) | greater(number_of_organizations(E!1, T!0), zero)))),
% 0.21/0.40 inference(monotonicity,[status(thm)],[29])).
% 0.21/0.40 tff(31,plain,
% 0.21/0.40 (((~![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!1, T!0), zero) | (~environment(E!1)) | (~subpopulations(first_movers, efficient_producers, E!1, T!0)))) <=> ((~![E: $i, T: $i] : (greater(number_of_organizations(E, T), zero) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)))) | (~environment(E!1)) | (~subpopulations(first_movers, efficient_producers, E!1, T!0)) | greater(number_of_organizations(E!1, T!0), zero))),
% 0.21/0.40 inference(transitivity,[status(thm)],[30, 28])).
% 0.21/0.40 tff(32,plain,
% 0.21/0.40 ((~![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!1, T!0), zero) | (~environment(E!1)) | (~subpopulations(first_movers, efficient_producers, E!1, T!0)))),
% 0.21/0.40 inference(quant_inst,[status(thm)],[])).
% 0.21/0.40 tff(33,plain,
% 0.21/0.40 ((~![E: $i, T: $i] : (greater(number_of_organizations(E, T), zero) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)))) | (~environment(E!1)) | (~subpopulations(first_movers, efficient_producers, E!1, T!0)) | greater(number_of_organizations(E!1, T!0), zero)),
% 0.21/0.40 inference(modus_ponens,[status(thm)],[32, 31])).
% 0.21/0.40 tff(34,plain,
% 0.21/0.40 (greater(number_of_organizations(E!1, T!0), zero)),
% 0.21/0.40 inference(unit_resolution,[status(thm)],[33, 27, 14, 13])).
% 0.21/0.40 tff(35,plain,
% 0.21/0.40 (^[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))))),
% 0.21/0.40 inference(bind,[status(th)],[])).
% 0.21/0.40 tff(36,plain,
% 0.21/0.40 (![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)))),
% 0.21/0.40 inference(quant_intro,[status(thm)],[35])).
% 0.21/0.40 tff(37,plain,
% 0.21/0.40 (^[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)))))),
% 0.21/0.40 inference(bind,[status(th)],[])).
% 0.21/0.40 tff(38,plain,
% 0.21/0.40 (![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)))),
% 0.21/0.40 inference(quant_intro,[status(thm)],[37])).
% 0.21/0.40 tff(39,plain,
% 0.21/0.40 (![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))),
% 0.21/0.40 inference(rewrite,[status(thm)],[])).
% 0.21/0.40 tff(40,plain,
% 0.21/0.40 (^[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)))),
% 0.21/0.40 inference(bind,[status(th)],[])).
% 0.21/0.40 tff(41,plain,
% 0.21/0.40 (![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))),
% 0.21/0.40 inference(quant_intro,[status(thm)],[40])).
% 0.21/0.40 tff(42,axiom,(![E: $i, T: $i] : ((environment(E) & subpopulations(first_movers, efficient_producers, E, T)) => in_environment(E, T))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','mp_time_point_in_environment')).
% 0.21/0.41 tff(43,plain,
% 0.21/0.41 (![E: $i, T: $i] : ((~(environment(E) & subpopulations(first_movers, efficient_producers, E, T))) | in_environment(E, T))),
% 0.21/0.41 inference(modus_ponens,[status(thm)],[42, 41])).
% 0.21/0.41 tff(44,plain,
% 0.21/0.41 (![E: $i, T: $i] : ((~(environment(E) & subpopulations(first_movers, efficient_producers, E, T))) | in_environment(E, T))),
% 0.21/0.41 inference(modus_ponens,[status(thm)],[43, 39])).
% 0.21/0.41 tff(45,plain,(
% 0.21/0.41 ![E: $i, T: $i] : ((~(environment(E) & subpopulations(first_movers, efficient_producers, E, T))) | in_environment(E, T))),
% 0.21/0.41 inference(skolemize,[status(sab)],[44])).
% 0.21/0.41 tff(46,plain,
% 0.21/0.41 (![E: $i, T: $i] : (in_environment(E, T) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)))),
% 0.21/0.41 inference(modus_ponens,[status(thm)],[45, 38])).
% 0.21/0.41 tff(47,plain,
% 0.21/0.41 (![E: $i, T: $i] : (in_environment(E, T) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)))),
% 0.21/0.41 inference(modus_ponens,[status(thm)],[46, 36])).
% 0.21/0.41 tff(48,plain,
% 0.21/0.41 (((~![E: $i, T: $i] : (in_environment(E, T) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)))) | ((~environment(E!1)) | (~subpopulations(first_movers, efficient_producers, E!1, T!0)) | in_environment(E!1, T!0))) <=> ((~![E: $i, T: $i] : (in_environment(E, T) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)))) | (~environment(E!1)) | (~subpopulations(first_movers, efficient_producers, E!1, T!0)) | in_environment(E!1, T!0))),
% 0.21/0.41 inference(rewrite,[status(thm)],[])).
% 0.21/0.41 tff(49,plain,
% 0.21/0.41 ((in_environment(E!1, T!0) | (~environment(E!1)) | (~subpopulations(first_movers, efficient_producers, E!1, T!0))) <=> ((~environment(E!1)) | (~subpopulations(first_movers, efficient_producers, E!1, T!0)) | in_environment(E!1, T!0))),
% 0.21/0.41 inference(rewrite,[status(thm)],[])).
% 0.21/0.41 tff(50,plain,
% 0.21/0.41 (((~![E: $i, T: $i] : (in_environment(E, T) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)))) | (in_environment(E!1, T!0) | (~environment(E!1)) | (~subpopulations(first_movers, efficient_producers, E!1, T!0)))) <=> ((~![E: $i, T: $i] : (in_environment(E, T) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)))) | ((~environment(E!1)) | (~subpopulations(first_movers, efficient_producers, E!1, T!0)) | in_environment(E!1, T!0)))),
% 0.21/0.41 inference(monotonicity,[status(thm)],[49])).
% 0.21/0.41 tff(51,plain,
% 0.21/0.41 (((~![E: $i, T: $i] : (in_environment(E, T) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)))) | (in_environment(E!1, T!0) | (~environment(E!1)) | (~subpopulations(first_movers, efficient_producers, E!1, T!0)))) <=> ((~![E: $i, T: $i] : (in_environment(E, T) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)))) | (~environment(E!1)) | (~subpopulations(first_movers, efficient_producers, E!1, T!0)) | in_environment(E!1, T!0))),
% 0.21/0.41 inference(transitivity,[status(thm)],[50, 48])).
% 0.21/0.41 tff(52,plain,
% 0.21/0.41 ((~![E: $i, T: $i] : (in_environment(E, T) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)))) | (in_environment(E!1, T!0) | (~environment(E!1)) | (~subpopulations(first_movers, efficient_producers, E!1, T!0)))),
% 0.21/0.41 inference(quant_inst,[status(thm)],[])).
% 0.21/0.41 tff(53,plain,
% 0.21/0.41 ((~![E: $i, T: $i] : (in_environment(E, T) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)))) | (~environment(E!1)) | (~subpopulations(first_movers, efficient_producers, E!1, T!0)) | in_environment(E!1, T!0)),
% 0.21/0.41 inference(modus_ponens,[status(thm)],[52, 51])).
% 0.21/0.41 tff(54,plain,
% 0.21/0.41 (in_environment(E!1, T!0)),
% 0.21/0.41 inference(unit_resolution,[status(thm)],[53, 47, 14, 13])).
% 0.21/0.41 tff(55,plain,
% 0.21/0.41 (^[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)))) | (~(constant(resources(E, T)) | greater(equilibrium(E), T)))))) <=> ((~environment(E)) | (~in_environment(E, T)) | (~greater(number_of_organizations(E, T), zero)) | (~((~((~greater(equilibrium(E), T)) | decreases(resources(E, T)))) | (~(constant(resources(E, T)) | greater(equilibrium(E), T)))))))),
% 0.21/0.41 inference(bind,[status(th)],[])).
% 0.21/0.41 tff(56,plain,
% 0.21/0.41 (![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)))) | (~(constant(resources(E, T)) | greater(equilibrium(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)))) | (~(constant(resources(E, T)) | greater(equilibrium(E), T))))))),
% 0.21/0.41 inference(quant_intro,[status(thm)],[55])).
% 0.21/0.41 tff(57,plain,
% 0.21/0.41 (^[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)))), ((((~greater(equilibrium(E), T)) | decreases(resources(E, T))) & (constant(resources(E, T)) | greater(equilibrium(E), T))) <=> (((~greater(equilibrium(E), T)) | decreases(resources(E, T))) & (constant(resources(E, T)) | greater(equilibrium(E), T))))), rewrite((((~greater(equilibrium(E), T)) | decreases(resources(E, T))) & (constant(resources(E, T)) | greater(equilibrium(E), T))) <=> (~((~((~greater(equilibrium(E), T)) | decreases(resources(E, T)))) | (~(constant(resources(E, T)) | greater(equilibrium(E), T)))))), ((((~greater(equilibrium(E), T)) | decreases(resources(E, T))) & (constant(resources(E, T)) | greater(equilibrium(E), T))) <=> (~((~((~greater(equilibrium(E), T)) | decreases(resources(E, T)))) | (~(constant(resources(E, T)) | greater(equilibrium(E), T))))))), (((~(environment(E) & in_environment(E, T) & greater(number_of_organizations(E, T), zero))) | (((~greater(equilibrium(E), T)) | decreases(resources(E, T))) & (constant(resources(E, T)) | greater(equilibrium(E), T)))) <=> (((~environment(E)) | (~in_environment(E, T)) | (~greater(number_of_organizations(E, T), zero))) | (~((~((~greater(equilibrium(E), T)) | decreases(resources(E, T)))) | (~(constant(resources(E, T)) | greater(equilibrium(E), T)))))))), rewrite((((~environment(E)) | (~in_environment(E, T)) | (~greater(number_of_organizations(E, T), zero))) | (~((~((~greater(equilibrium(E), T)) | decreases(resources(E, T)))) | (~(constant(resources(E, T)) | greater(equilibrium(E), T)))))) <=> ((~environment(E)) | (~in_environment(E, T)) | (~greater(number_of_organizations(E, T), zero)) | (~((~((~greater(equilibrium(E), T)) | decreases(resources(E, T)))) | (~(constant(resources(E, T)) | greater(equilibrium(E), T))))))), (((~(environment(E) & in_environment(E, T) & greater(number_of_organizations(E, T), zero))) | (((~greater(equilibrium(E), T)) | decreases(resources(E, T))) & (constant(resources(E, T)) | greater(equilibrium(E), T)))) <=> ((~environment(E)) | (~in_environment(E, T)) | (~greater(number_of_organizations(E, T), zero)) | (~((~((~greater(equilibrium(E), T)) | decreases(resources(E, T)))) | (~(constant(resources(E, T)) | greater(equilibrium(E), T))))))))),
% 0.21/0.41 inference(bind,[status(th)],[])).
% 0.21/0.41 tff(58,plain,
% 0.21/0.41 (![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))) & (constant(resources(E, T)) | greater(equilibrium(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)))) | (~(constant(resources(E, T)) | greater(equilibrium(E), T))))))),
% 0.21/0.41 inference(quant_intro,[status(thm)],[57])).
% 0.21/0.41 tff(59,plain,
% 0.21/0.41 (![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))) & (constant(resources(E, T)) | greater(equilibrium(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))) & (constant(resources(E, T)) | greater(equilibrium(E), T))))),
% 0.21/0.41 inference(rewrite,[status(thm)],[])).
% 0.21/0.41 tff(60,plain,
% 0.21/0.41 (^[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))) & (constant(resources(E, T)) | greater(equilibrium(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))) & (constant(resources(E, T)) | greater(equilibrium(E), T)))))), rewrite(((environment(E) & in_environment(E, T) & greater(number_of_organizations(E, T), zero)) => (((~greater(equilibrium(E), T)) | decreases(resources(E, T))) & (constant(resources(E, T)) | greater(equilibrium(E), T)))) <=> ((~(environment(E) & in_environment(E, T) & greater(number_of_organizations(E, T), zero))) | (((~greater(equilibrium(E), T)) | decreases(resources(E, T))) & (constant(resources(E, T)) | greater(equilibrium(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))) & (constant(resources(E, T)) | greater(equilibrium(E), T))))))),
% 0.21/0.41 inference(bind,[status(th)],[])).
% 0.21/0.41 tff(61,plain,
% 0.21/0.41 (![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))) & (constant(resources(E, T)) | greater(equilibrium(E), T))))),
% 0.21/0.41 inference(quant_intro,[status(thm)],[60])).
% 0.21/0.41 tff(62,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/sandbox/benchmark/theBenchmark.p','a3')).
% 0.21/0.41 tff(63,plain,
% 0.21/0.41 (![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))) & (constant(resources(E, T)) | greater(equilibrium(E), T))))),
% 0.21/0.41 inference(modus_ponens,[status(thm)],[62, 61])).
% 0.21/0.41 tff(64,plain,
% 0.21/0.41 (![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))) & (constant(resources(E, T)) | greater(equilibrium(E), T))))),
% 0.21/0.41 inference(modus_ponens,[status(thm)],[63, 59])).
% 0.21/0.41 tff(65,plain,(
% 0.21/0.41 ![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))) & (constant(resources(E, T)) | greater(equilibrium(E), T))))),
% 0.21/0.41 inference(skolemize,[status(sab)],[64])).
% 0.21/0.41 tff(66,plain,
% 0.21/0.41 (![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)))) | (~(constant(resources(E, T)) | greater(equilibrium(E), T))))))),
% 0.21/0.41 inference(modus_ponens,[status(thm)],[65, 58])).
% 0.21/0.41 tff(67,plain,
% 0.21/0.41 (![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)))) | (~(constant(resources(E, T)) | greater(equilibrium(E), T))))))),
% 0.21/0.41 inference(modus_ponens,[status(thm)],[66, 56])).
% 0.21/0.41 tff(68,plain,
% 0.21/0.41 (((~![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)))) | (~(constant(resources(E, T)) | greater(equilibrium(E), T))))))) | ((~environment(E!1)) | (~in_environment(E!1, T!0)) | (~greater(number_of_organizations(E!1, T!0), zero)) | (~((~(constant(resources(E!1, T!0)) | greater(equilibrium(E!1), T!0))) | (~(decreases(resources(E!1, T!0)) | (~greater(equilibrium(E!1), T!0)))))))) <=> ((~![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)))) | (~(constant(resources(E, T)) | greater(equilibrium(E), T))))))) | (~environment(E!1)) | (~in_environment(E!1, T!0)) | (~greater(number_of_organizations(E!1, T!0), zero)) | (~((~(constant(resources(E!1, T!0)) | greater(equilibrium(E!1), T!0))) | (~(decreases(resources(E!1, T!0)) | (~greater(equilibrium(E!1), T!0)))))))),
% 0.21/0.41 inference(rewrite,[status(thm)],[])).
% 0.21/0.41 tff(69,plain,
% 0.21/0.41 (((~environment(E!1)) | (~in_environment(E!1, T!0)) | (~greater(number_of_organizations(E!1, T!0), zero)) | (~((~((~greater(equilibrium(E!1), T!0)) | decreases(resources(E!1, T!0)))) | (~(constant(resources(E!1, T!0)) | greater(equilibrium(E!1), T!0)))))) <=> ((~environment(E!1)) | (~in_environment(E!1, T!0)) | (~greater(number_of_organizations(E!1, T!0), zero)) | (~((~(constant(resources(E!1, T!0)) | greater(equilibrium(E!1), T!0))) | (~(decreases(resources(E!1, T!0)) | (~greater(equilibrium(E!1), T!0)))))))),
% 0.21/0.41 inference(rewrite,[status(thm)],[])).
% 0.21/0.41 tff(70,plain,
% 0.21/0.41 (((~![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)))) | (~(constant(resources(E, T)) | greater(equilibrium(E), T))))))) | ((~environment(E!1)) | (~in_environment(E!1, T!0)) | (~greater(number_of_organizations(E!1, T!0), zero)) | (~((~((~greater(equilibrium(E!1), T!0)) | decreases(resources(E!1, T!0)))) | (~(constant(resources(E!1, T!0)) | greater(equilibrium(E!1), T!0))))))) <=> ((~![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)))) | (~(constant(resources(E, T)) | greater(equilibrium(E), T))))))) | ((~environment(E!1)) | (~in_environment(E!1, T!0)) | (~greater(number_of_organizations(E!1, T!0), zero)) | (~((~(constant(resources(E!1, T!0)) | greater(equilibrium(E!1), T!0))) | (~(decreases(resources(E!1, T!0)) | (~greater(equilibrium(E!1), T!0))))))))),
% 0.21/0.41 inference(monotonicity,[status(thm)],[69])).
% 0.21/0.41 tff(71,plain,
% 0.21/0.41 (((~![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)))) | (~(constant(resources(E, T)) | greater(equilibrium(E), T))))))) | ((~environment(E!1)) | (~in_environment(E!1, T!0)) | (~greater(number_of_organizations(E!1, T!0), zero)) | (~((~((~greater(equilibrium(E!1), T!0)) | decreases(resources(E!1, T!0)))) | (~(constant(resources(E!1, T!0)) | greater(equilibrium(E!1), T!0))))))) <=> ((~![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)))) | (~(constant(resources(E, T)) | greater(equilibrium(E), T))))))) | (~environment(E!1)) | (~in_environment(E!1, T!0)) | (~greater(number_of_organizations(E!1, T!0), zero)) | (~((~(constant(resources(E!1, T!0)) | greater(equilibrium(E!1), T!0))) | (~(decreases(resources(E!1, T!0)) | (~greater(equilibrium(E!1), T!0)))))))),
% 0.21/0.41 inference(transitivity,[status(thm)],[70, 68])).
% 0.21/0.41 tff(72,plain,
% 0.21/0.41 ((~![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)))) | (~(constant(resources(E, T)) | greater(equilibrium(E), T))))))) | ((~environment(E!1)) | (~in_environment(E!1, T!0)) | (~greater(number_of_organizations(E!1, T!0), zero)) | (~((~((~greater(equilibrium(E!1), T!0)) | decreases(resources(E!1, T!0)))) | (~(constant(resources(E!1, T!0)) | greater(equilibrium(E!1), T!0))))))),
% 0.21/0.41 inference(quant_inst,[status(thm)],[])).
% 0.21/0.41 tff(73,plain,
% 0.21/0.41 ((~![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)))) | (~(constant(resources(E, T)) | greater(equilibrium(E), T))))))) | (~environment(E!1)) | (~in_environment(E!1, T!0)) | (~greater(number_of_organizations(E!1, T!0), zero)) | (~((~(constant(resources(E!1, T!0)) | greater(equilibrium(E!1), T!0))) | (~(decreases(resources(E!1, T!0)) | (~greater(equilibrium(E!1), T!0))))))),
% 0.21/0.41 inference(modus_ponens,[status(thm)],[72, 71])).
% 0.21/0.41 tff(74,plain,
% 0.21/0.41 (~((~(constant(resources(E!1, T!0)) | greater(equilibrium(E!1), T!0))) | (~(decreases(resources(E!1, T!0)) | (~greater(equilibrium(E!1), T!0)))))),
% 0.21/0.41 inference(unit_resolution,[status(thm)],[73, 67, 14, 54, 34])).
% 0.21/0.41 tff(75,plain,
% 0.21/0.41 (((~(constant(resources(E!1, T!0)) | greater(equilibrium(E!1), T!0))) | (~(decreases(resources(E!1, T!0)) | (~greater(equilibrium(E!1), T!0))))) | (decreases(resources(E!1, T!0)) | (~greater(equilibrium(E!1), T!0)))),
% 0.21/0.41 inference(tautology,[status(thm)],[])).
% 0.21/0.41 tff(76,plain,
% 0.21/0.41 (decreases(resources(E!1, T!0)) | (~greater(equilibrium(E!1), T!0))),
% 0.21/0.41 inference(unit_resolution,[status(thm)],[75, 74])).
% 0.21/0.41 tff(77,plain,
% 0.21/0.41 (((~(constant(resources(E!1, T!0)) | greater(equilibrium(E!1), T!0))) | (~(decreases(resources(E!1, T!0)) | (~greater(equilibrium(E!1), T!0))))) | (constant(resources(E!1, T!0)) | greater(equilibrium(E!1), T!0))),
% 0.21/0.41 inference(tautology,[status(thm)],[])).
% 0.21/0.41 tff(78,plain,
% 0.21/0.41 (constant(resources(E!1, T!0)) | greater(equilibrium(E!1), T!0)),
% 0.21/0.41 inference(unit_resolution,[status(thm)],[77, 74])).
% 0.21/0.41 tff(79,plain,
% 0.21/0.41 (^[E: $i, T: $i] : refl(((~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)) | (~((~(increases(difference(disbanding_rate(first_movers, T), disbanding_rate(efficient_producers, T))) | (~decreases(resources(E, T))))) | (~((~constant(resources(E, T))) | (~decreases(difference(disbanding_rate(first_movers, T), disbanding_rate(efficient_producers, T))))))))) <=> ((~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)) | (~((~(increases(difference(disbanding_rate(first_movers, T), disbanding_rate(efficient_producers, T))) | (~decreases(resources(E, T))))) | (~((~constant(resources(E, T))) | (~decreases(difference(disbanding_rate(first_movers, T), disbanding_rate(efficient_producers, T))))))))))),
% 0.21/0.41 inference(bind,[status(th)],[])).
% 0.21/0.42 tff(80,plain,
% 0.21/0.42 (![E: $i, T: $i] : ((~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)) | (~((~(increases(difference(disbanding_rate(first_movers, T), disbanding_rate(efficient_producers, T))) | (~decreases(resources(E, T))))) | (~((~constant(resources(E, T))) | (~decreases(difference(disbanding_rate(first_movers, T), disbanding_rate(efficient_producers, T))))))))) <=> ![E: $i, T: $i] : ((~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)) | (~((~(increases(difference(disbanding_rate(first_movers, T), disbanding_rate(efficient_producers, T))) | (~decreases(resources(E, T))))) | (~((~constant(resources(E, T))) | (~decreases(difference(disbanding_rate(first_movers, T), disbanding_rate(efficient_producers, T)))))))))),
% 0.21/0.42 inference(quant_intro,[status(thm)],[79])).
% 0.21/0.42 tff(81,plain,
% 0.21/0.42 (^[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(((increases(difference(disbanding_rate(first_movers, T), disbanding_rate(efficient_producers, T))) | (~decreases(resources(E, T)))) & ((~constant(resources(E, T))) | (~decreases(difference(disbanding_rate(first_movers, T), disbanding_rate(efficient_producers, T)))))) <=> (~((~(increases(difference(disbanding_rate(first_movers, T), disbanding_rate(efficient_producers, T))) | (~decreases(resources(E, T))))) | (~((~constant(resources(E, T))) | (~decreases(difference(disbanding_rate(first_movers, T), disbanding_rate(efficient_producers, T))))))))), (((~(environment(E) & subpopulations(first_movers, efficient_producers, E, T))) | ((increases(difference(disbanding_rate(first_movers, T), disbanding_rate(efficient_producers, T))) | (~decreases(resources(E, T)))) & ((~constant(resources(E, T))) | (~decreases(difference(disbanding_rate(first_movers, T), disbanding_rate(efficient_producers, T))))))) <=> (((~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T))) | (~((~(increases(difference(disbanding_rate(first_movers, T), disbanding_rate(efficient_producers, T))) | (~decreases(resources(E, T))))) | (~((~constant(resources(E, T))) | (~decreases(difference(disbanding_rate(first_movers, T), disbanding_rate(efficient_producers, T))))))))))), rewrite((((~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T))) | (~((~(increases(difference(disbanding_rate(first_movers, T), disbanding_rate(efficient_producers, T))) | (~decreases(resources(E, T))))) | (~((~constant(resources(E, T))) | (~decreases(difference(disbanding_rate(first_movers, T), disbanding_rate(efficient_producers, T))))))))) <=> ((~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)) | (~((~(increases(difference(disbanding_rate(first_movers, T), disbanding_rate(efficient_producers, T))) | (~decreases(resources(E, T))))) | (~((~constant(resources(E, T))) | (~decreases(difference(disbanding_rate(first_movers, T), disbanding_rate(efficient_producers, T)))))))))), (((~(environment(E) & subpopulations(first_movers, efficient_producers, E, T))) | ((increases(difference(disbanding_rate(first_movers, T), disbanding_rate(efficient_producers, T))) | (~decreases(resources(E, T)))) & ((~constant(resources(E, T))) | (~decreases(difference(disbanding_rate(first_movers, T), disbanding_rate(efficient_producers, T))))))) <=> ((~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)) | (~((~(increases(difference(disbanding_rate(first_movers, T), disbanding_rate(efficient_producers, T))) | (~decreases(resources(E, T))))) | (~((~constant(resources(E, T))) | (~decreases(difference(disbanding_rate(first_movers, T), disbanding_rate(efficient_producers, T)))))))))))),
% 0.21/0.42 inference(bind,[status(th)],[])).
% 0.21/0.42 tff(82,plain,
% 0.21/0.42 (![E: $i, T: $i] : ((~(environment(E) & subpopulations(first_movers, efficient_producers, E, T))) | ((increases(difference(disbanding_rate(first_movers, T), disbanding_rate(efficient_producers, T))) | (~decreases(resources(E, T)))) & ((~constant(resources(E, T))) | (~decreases(difference(disbanding_rate(first_movers, T), disbanding_rate(efficient_producers, T))))))) <=> ![E: $i, T: $i] : ((~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)) | (~((~(increases(difference(disbanding_rate(first_movers, T), disbanding_rate(efficient_producers, T))) | (~decreases(resources(E, T))))) | (~((~constant(resources(E, T))) | (~decreases(difference(disbanding_rate(first_movers, T), disbanding_rate(efficient_producers, T)))))))))),
% 0.21/0.42 inference(quant_intro,[status(thm)],[81])).
% 0.21/0.42 tff(83,plain,
% 0.21/0.42 (![E: $i, T: $i] : ((~(environment(E) & subpopulations(first_movers, efficient_producers, E, T))) | ((increases(difference(disbanding_rate(first_movers, T), disbanding_rate(efficient_producers, T))) | (~decreases(resources(E, T)))) & ((~constant(resources(E, T))) | (~decreases(difference(disbanding_rate(first_movers, T), disbanding_rate(efficient_producers, T))))))) <=> ![E: $i, T: $i] : ((~(environment(E) & subpopulations(first_movers, efficient_producers, E, T))) | ((increases(difference(disbanding_rate(first_movers, T), disbanding_rate(efficient_producers, T))) | (~decreases(resources(E, T)))) & ((~constant(resources(E, T))) | (~decreases(difference(disbanding_rate(first_movers, T), disbanding_rate(efficient_producers, T)))))))),
% 0.21/0.42 inference(rewrite,[status(thm)],[])).
% 0.21/0.42 tff(84,plain,
% 0.21/0.42 (^[E: $i, T: $i] : trans(monotonicity(rewrite(((decreases(resources(E, T)) => increases(difference(disbanding_rate(first_movers, T), disbanding_rate(efficient_producers, T)))) & (constant(resources(E, T)) => (~decreases(difference(disbanding_rate(first_movers, T), disbanding_rate(efficient_producers, T)))))) <=> ((increases(difference(disbanding_rate(first_movers, T), disbanding_rate(efficient_producers, T))) | (~decreases(resources(E, T)))) & ((~constant(resources(E, T))) | (~decreases(difference(disbanding_rate(first_movers, T), disbanding_rate(efficient_producers, T))))))), (((environment(E) & subpopulations(first_movers, efficient_producers, E, T)) => ((decreases(resources(E, T)) => increases(difference(disbanding_rate(first_movers, T), disbanding_rate(efficient_producers, T)))) & (constant(resources(E, T)) => (~decreases(difference(disbanding_rate(first_movers, T), disbanding_rate(efficient_producers, T))))))) <=> ((environment(E) & subpopulations(first_movers, efficient_producers, E, T)) => ((increases(difference(disbanding_rate(first_movers, T), disbanding_rate(efficient_producers, T))) | (~decreases(resources(E, T)))) & ((~constant(resources(E, T))) | (~decreases(difference(disbanding_rate(first_movers, T), disbanding_rate(efficient_producers, T))))))))), rewrite(((environment(E) & subpopulations(first_movers, efficient_producers, E, T)) => ((increases(difference(disbanding_rate(first_movers, T), disbanding_rate(efficient_producers, T))) | (~decreases(resources(E, T)))) & ((~constant(resources(E, T))) | (~decreases(difference(disbanding_rate(first_movers, T), disbanding_rate(efficient_producers, T))))))) <=> ((~(environment(E) & subpopulations(first_movers, efficient_producers, E, T))) | ((increases(difference(disbanding_rate(first_movers, T), disbanding_rate(efficient_producers, T))) | (~decreases(resources(E, T)))) & ((~constant(resources(E, T))) | (~decreases(difference(disbanding_rate(first_movers, T), disbanding_rate(efficient_producers, T)))))))), (((environment(E) & subpopulations(first_movers, efficient_producers, E, T)) => ((decreases(resources(E, T)) => increases(difference(disbanding_rate(first_movers, T), disbanding_rate(efficient_producers, T)))) & (constant(resources(E, T)) => (~decreases(difference(disbanding_rate(first_movers, T), disbanding_rate(efficient_producers, T))))))) <=> ((~(environment(E) & subpopulations(first_movers, efficient_producers, E, T))) | ((increases(difference(disbanding_rate(first_movers, T), disbanding_rate(efficient_producers, T))) | (~decreases(resources(E, T)))) & ((~constant(resources(E, T))) | (~decreases(difference(disbanding_rate(first_movers, T), disbanding_rate(efficient_producers, T)))))))))),
% 0.21/0.42 inference(bind,[status(th)],[])).
% 0.21/0.42 tff(85,plain,
% 0.21/0.42 (![E: $i, T: $i] : ((environment(E) & subpopulations(first_movers, efficient_producers, E, T)) => ((decreases(resources(E, T)) => increases(difference(disbanding_rate(first_movers, T), disbanding_rate(efficient_producers, T)))) & (constant(resources(E, T)) => (~decreases(difference(disbanding_rate(first_movers, T), disbanding_rate(efficient_producers, T))))))) <=> ![E: $i, T: $i] : ((~(environment(E) & subpopulations(first_movers, efficient_producers, E, T))) | ((increases(difference(disbanding_rate(first_movers, T), disbanding_rate(efficient_producers, T))) | (~decreases(resources(E, T)))) & ((~constant(resources(E, T))) | (~decreases(difference(disbanding_rate(first_movers, T), disbanding_rate(efficient_producers, T)))))))),
% 0.21/0.42 inference(quant_intro,[status(thm)],[84])).
% 0.21/0.42 tff(86,axiom,(![E: $i, T: $i] : ((environment(E) & subpopulations(first_movers, efficient_producers, E, T)) => ((decreases(resources(E, T)) => increases(difference(disbanding_rate(first_movers, T), disbanding_rate(efficient_producers, T)))) & (constant(resources(E, T)) => (~decreases(difference(disbanding_rate(first_movers, T), disbanding_rate(efficient_producers, T)))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','l4')).
% 0.21/0.42 tff(87,plain,
% 0.21/0.42 (![E: $i, T: $i] : ((~(environment(E) & subpopulations(first_movers, efficient_producers, E, T))) | ((increases(difference(disbanding_rate(first_movers, T), disbanding_rate(efficient_producers, T))) | (~decreases(resources(E, T)))) & ((~constant(resources(E, T))) | (~decreases(difference(disbanding_rate(first_movers, T), disbanding_rate(efficient_producers, T)))))))),
% 0.21/0.42 inference(modus_ponens,[status(thm)],[86, 85])).
% 0.21/0.42 tff(88,plain,
% 0.21/0.42 (![E: $i, T: $i] : ((~(environment(E) & subpopulations(first_movers, efficient_producers, E, T))) | ((increases(difference(disbanding_rate(first_movers, T), disbanding_rate(efficient_producers, T))) | (~decreases(resources(E, T)))) & ((~constant(resources(E, T))) | (~decreases(difference(disbanding_rate(first_movers, T), disbanding_rate(efficient_producers, T)))))))),
% 0.21/0.42 inference(modus_ponens,[status(thm)],[87, 83])).
% 0.21/0.42 tff(89,plain,(
% 0.21/0.42 ![E: $i, T: $i] : ((~(environment(E) & subpopulations(first_movers, efficient_producers, E, T))) | ((increases(difference(disbanding_rate(first_movers, T), disbanding_rate(efficient_producers, T))) | (~decreases(resources(E, T)))) & ((~constant(resources(E, T))) | (~decreases(difference(disbanding_rate(first_movers, T), disbanding_rate(efficient_producers, T)))))))),
% 0.21/0.42 inference(skolemize,[status(sab)],[88])).
% 0.21/0.42 tff(90,plain,
% 0.21/0.42 (![E: $i, T: $i] : ((~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)) | (~((~(increases(difference(disbanding_rate(first_movers, T), disbanding_rate(efficient_producers, T))) | (~decreases(resources(E, T))))) | (~((~constant(resources(E, T))) | (~decreases(difference(disbanding_rate(first_movers, T), disbanding_rate(efficient_producers, T)))))))))),
% 0.21/0.42 inference(modus_ponens,[status(thm)],[89, 82])).
% 0.21/0.42 tff(91,plain,
% 0.21/0.42 (![E: $i, T: $i] : ((~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)) | (~((~(increases(difference(disbanding_rate(first_movers, T), disbanding_rate(efficient_producers, T))) | (~decreases(resources(E, T))))) | (~((~constant(resources(E, T))) | (~decreases(difference(disbanding_rate(first_movers, T), disbanding_rate(efficient_producers, T)))))))))),
% 0.21/0.42 inference(modus_ponens,[status(thm)],[90, 80])).
% 0.21/0.42 tff(92,plain,
% 0.21/0.42 (((~![E: $i, T: $i] : ((~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)) | (~((~(increases(difference(disbanding_rate(first_movers, T), disbanding_rate(efficient_producers, T))) | (~decreases(resources(E, T))))) | (~((~constant(resources(E, T))) | (~decreases(difference(disbanding_rate(first_movers, T), disbanding_rate(efficient_producers, T)))))))))) | ((~environment(E!1)) | (~subpopulations(first_movers, efficient_producers, E!1, T!0)) | (~((~(increases(difference(disbanding_rate(first_movers, T!0), disbanding_rate(efficient_producers, T!0))) | (~decreases(resources(E!1, T!0))))) | (~((~constant(resources(E!1, T!0))) | (~decreases(difference(disbanding_rate(first_movers, T!0), disbanding_rate(efficient_producers, T!0)))))))))) <=> ((~![E: $i, T: $i] : ((~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)) | (~((~(increases(difference(disbanding_rate(first_movers, T), disbanding_rate(efficient_producers, T))) | (~decreases(resources(E, T))))) | (~((~constant(resources(E, T))) | (~decreases(difference(disbanding_rate(first_movers, T), disbanding_rate(efficient_producers, T)))))))))) | (~environment(E!1)) | (~subpopulations(first_movers, efficient_producers, E!1, T!0)) | (~((~(increases(difference(disbanding_rate(first_movers, T!0), disbanding_rate(efficient_producers, T!0))) | (~decreases(resources(E!1, T!0))))) | (~((~constant(resources(E!1, T!0))) | (~decreases(difference(disbanding_rate(first_movers, T!0), disbanding_rate(efficient_producers, T!0)))))))))),
% 0.21/0.42 inference(rewrite,[status(thm)],[])).
% 0.21/0.42 tff(93,plain,
% 0.21/0.42 ((~![E: $i, T: $i] : ((~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)) | (~((~(increases(difference(disbanding_rate(first_movers, T), disbanding_rate(efficient_producers, T))) | (~decreases(resources(E, T))))) | (~((~constant(resources(E, T))) | (~decreases(difference(disbanding_rate(first_movers, T), disbanding_rate(efficient_producers, T)))))))))) | ((~environment(E!1)) | (~subpopulations(first_movers, efficient_producers, E!1, T!0)) | (~((~(increases(difference(disbanding_rate(first_movers, T!0), disbanding_rate(efficient_producers, T!0))) | (~decreases(resources(E!1, T!0))))) | (~((~constant(resources(E!1, T!0))) | (~decreases(difference(disbanding_rate(first_movers, T!0), disbanding_rate(efficient_producers, T!0)))))))))),
% 0.21/0.42 inference(quant_inst,[status(thm)],[])).
% 0.21/0.42 tff(94,plain,
% 0.21/0.42 ((~![E: $i, T: $i] : ((~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)) | (~((~(increases(difference(disbanding_rate(first_movers, T), disbanding_rate(efficient_producers, T))) | (~decreases(resources(E, T))))) | (~((~constant(resources(E, T))) | (~decreases(difference(disbanding_rate(first_movers, T), disbanding_rate(efficient_producers, T)))))))))) | (~environment(E!1)) | (~subpopulations(first_movers, efficient_producers, E!1, T!0)) | (~((~(increases(difference(disbanding_rate(first_movers, T!0), disbanding_rate(efficient_producers, T!0))) | (~decreases(resources(E!1, T!0))))) | (~((~constant(resources(E!1, T!0))) | (~decreases(difference(disbanding_rate(first_movers, T!0), disbanding_rate(efficient_producers, T!0))))))))),
% 0.21/0.42 inference(modus_ponens,[status(thm)],[93, 92])).
% 0.21/0.42 tff(95,plain,
% 0.21/0.42 (~((~(increases(difference(disbanding_rate(first_movers, T!0), disbanding_rate(efficient_producers, T!0))) | (~decreases(resources(E!1, T!0))))) | (~((~constant(resources(E!1, T!0))) | (~decreases(difference(disbanding_rate(first_movers, T!0), disbanding_rate(efficient_producers, T!0)))))))),
% 0.21/0.42 inference(unit_resolution,[status(thm)],[94, 91, 14, 13])).
% 0.21/0.42 tff(96,plain,
% 0.21/0.42 (((~(increases(difference(disbanding_rate(first_movers, T!0), disbanding_rate(efficient_producers, T!0))) | (~decreases(resources(E!1, T!0))))) | (~((~constant(resources(E!1, T!0))) | (~decreases(difference(disbanding_rate(first_movers, T!0), disbanding_rate(efficient_producers, T!0))))))) | ((~constant(resources(E!1, T!0))) | (~decreases(difference(disbanding_rate(first_movers, T!0), disbanding_rate(efficient_producers, T!0)))))),
% 0.21/0.42 inference(tautology,[status(thm)],[])).
% 0.21/0.42 tff(97,plain,
% 0.21/0.42 ((~constant(resources(E!1, T!0))) | (~decreases(difference(disbanding_rate(first_movers, T!0), disbanding_rate(efficient_producers, T!0))))),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[96, 95])).
% 0.21/0.43 tff(98,plain,
% 0.21/0.43 (decreases(difference(disbanding_rate(first_movers, T!0), disbanding_rate(efficient_producers, T!0)))),
% 0.21/0.43 inference(or_elim,[status(thm)],[11])).
% 0.21/0.43 tff(99,plain,
% 0.21/0.43 ((~((~constant(resources(E!1, T!0))) | (~decreases(difference(disbanding_rate(first_movers, T!0), disbanding_rate(efficient_producers, T!0)))))) | (~constant(resources(E!1, T!0))) | (~decreases(difference(disbanding_rate(first_movers, T!0), disbanding_rate(efficient_producers, T!0))))),
% 0.21/0.43 inference(tautology,[status(thm)],[])).
% 0.21/0.43 tff(100,plain,
% 0.21/0.43 ((~((~constant(resources(E!1, T!0))) | (~decreases(difference(disbanding_rate(first_movers, T!0), disbanding_rate(efficient_producers, T!0)))))) | (~constant(resources(E!1, T!0)))),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[99, 98])).
% 0.21/0.43 tff(101,plain,
% 0.21/0.43 (~constant(resources(E!1, T!0))),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[100, 97])).
% 0.21/0.43 tff(102,plain,
% 0.21/0.43 ((~(constant(resources(E!1, T!0)) | greater(equilibrium(E!1), T!0))) | constant(resources(E!1, T!0)) | greater(equilibrium(E!1), T!0)),
% 0.21/0.43 inference(tautology,[status(thm)],[])).
% 0.21/0.43 tff(103,plain,
% 0.21/0.43 ((~(constant(resources(E!1, T!0)) | greater(equilibrium(E!1), T!0))) | greater(equilibrium(E!1), T!0)),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[102, 101])).
% 0.21/0.43 tff(104,plain,
% 0.21/0.43 (greater(equilibrium(E!1), T!0)),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[103, 78])).
% 0.21/0.43 tff(105,plain,
% 0.21/0.43 (((~(increases(difference(disbanding_rate(first_movers, T!0), disbanding_rate(efficient_producers, T!0))) | (~decreases(resources(E!1, T!0))))) | (~((~constant(resources(E!1, T!0))) | (~decreases(difference(disbanding_rate(first_movers, T!0), disbanding_rate(efficient_producers, T!0))))))) | (increases(difference(disbanding_rate(first_movers, T!0), disbanding_rate(efficient_producers, T!0))) | (~decreases(resources(E!1, T!0))))),
% 0.21/0.43 inference(tautology,[status(thm)],[])).
% 0.21/0.43 tff(106,plain,
% 0.21/0.43 (increases(difference(disbanding_rate(first_movers, T!0), disbanding_rate(efficient_producers, T!0))) | (~decreases(resources(E!1, T!0)))),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[105, 95])).
% 0.21/0.43 tff(107,plain,
% 0.21/0.43 (^[X: $i] : refl(((~decreases(X)) | (~increases(X))) <=> ((~decreases(X)) | (~increases(X))))),
% 0.21/0.43 inference(bind,[status(th)],[])).
% 0.21/0.43 tff(108,plain,
% 0.21/0.43 (![X: $i] : ((~decreases(X)) | (~increases(X))) <=> ![X: $i] : ((~decreases(X)) | (~increases(X)))),
% 0.21/0.43 inference(quant_intro,[status(thm)],[107])).
% 0.21/0.43 tff(109,plain,
% 0.21/0.43 (![X: $i] : ((~decreases(X)) | (~increases(X))) <=> ![X: $i] : ((~decreases(X)) | (~increases(X)))),
% 0.21/0.43 inference(rewrite,[status(thm)],[])).
% 0.21/0.43 tff(110,plain,
% 0.21/0.43 (^[X: $i] : rewrite((increases(X) => (~decreases(X))) <=> ((~decreases(X)) | (~increases(X))))),
% 0.21/0.43 inference(bind,[status(th)],[])).
% 0.21/0.43 tff(111,plain,
% 0.21/0.43 (![X: $i] : (increases(X) => (~decreases(X))) <=> ![X: $i] : ((~decreases(X)) | (~increases(X)))),
% 0.21/0.43 inference(quant_intro,[status(thm)],[110])).
% 0.21/0.43 tff(112,axiom,(![X: $i] : (increases(X) => (~decreases(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','mp_increase_not_decrease')).
% 0.21/0.43 tff(113,plain,
% 0.21/0.43 (![X: $i] : ((~decreases(X)) | (~increases(X)))),
% 0.21/0.43 inference(modus_ponens,[status(thm)],[112, 111])).
% 0.21/0.43 tff(114,plain,
% 0.21/0.43 (![X: $i] : ((~decreases(X)) | (~increases(X)))),
% 0.21/0.43 inference(modus_ponens,[status(thm)],[113, 109])).
% 0.21/0.43 tff(115,plain,(
% 0.21/0.43 ![X: $i] : ((~decreases(X)) | (~increases(X)))),
% 0.21/0.43 inference(skolemize,[status(sab)],[114])).
% 0.21/0.43 tff(116,plain,
% 0.21/0.43 (![X: $i] : ((~decreases(X)) | (~increases(X)))),
% 0.21/0.43 inference(modus_ponens,[status(thm)],[115, 108])).
% 0.21/0.43 tff(117,plain,
% 0.21/0.43 (((~![X: $i] : ((~decreases(X)) | (~increases(X)))) | ((~decreases(difference(disbanding_rate(first_movers, T!0), disbanding_rate(efficient_producers, T!0)))) | (~increases(difference(disbanding_rate(first_movers, T!0), disbanding_rate(efficient_producers, T!0)))))) <=> ((~![X: $i] : ((~decreases(X)) | (~increases(X)))) | (~decreases(difference(disbanding_rate(first_movers, T!0), disbanding_rate(efficient_producers, T!0)))) | (~increases(difference(disbanding_rate(first_movers, T!0), disbanding_rate(efficient_producers, T!0)))))),
% 0.21/0.43 inference(rewrite,[status(thm)],[])).
% 0.21/0.43 tff(118,plain,
% 0.21/0.43 ((~![X: $i] : ((~decreases(X)) | (~increases(X)))) | ((~decreases(difference(disbanding_rate(first_movers, T!0), disbanding_rate(efficient_producers, T!0)))) | (~increases(difference(disbanding_rate(first_movers, T!0), disbanding_rate(efficient_producers, T!0)))))),
% 0.21/0.43 inference(quant_inst,[status(thm)],[])).
% 0.21/0.43 tff(119,plain,
% 0.21/0.43 ((~![X: $i] : ((~decreases(X)) | (~increases(X)))) | (~decreases(difference(disbanding_rate(first_movers, T!0), disbanding_rate(efficient_producers, T!0)))) | (~increases(difference(disbanding_rate(first_movers, T!0), disbanding_rate(efficient_producers, T!0))))),
% 0.21/0.43 inference(modus_ponens,[status(thm)],[118, 117])).
% 0.21/0.43 tff(120,plain,
% 0.21/0.43 (~increases(difference(disbanding_rate(first_movers, T!0), disbanding_rate(efficient_producers, T!0)))),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[119, 116, 98])).
% 0.21/0.43 tff(121,plain,
% 0.21/0.43 ((~(increases(difference(disbanding_rate(first_movers, T!0), disbanding_rate(efficient_producers, T!0))) | (~decreases(resources(E!1, T!0))))) | increases(difference(disbanding_rate(first_movers, T!0), disbanding_rate(efficient_producers, T!0))) | (~decreases(resources(E!1, T!0)))),
% 0.21/0.43 inference(tautology,[status(thm)],[])).
% 0.21/0.43 tff(122,plain,
% 0.21/0.43 (~decreases(resources(E!1, T!0))),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[121, 120, 106])).
% 0.21/0.43 tff(123,plain,
% 0.21/0.43 ((~(decreases(resources(E!1, T!0)) | (~greater(equilibrium(E!1), T!0)))) | decreases(resources(E!1, T!0)) | (~greater(equilibrium(E!1), T!0))),
% 0.21/0.43 inference(tautology,[status(thm)],[])).
% 0.21/0.43 tff(124,plain,
% 0.21/0.43 ((~(decreases(resources(E!1, T!0)) | (~greater(equilibrium(E!1), T!0)))) | (~greater(equilibrium(E!1), T!0))),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[123, 122])).
% 0.21/0.43 tff(125,plain,
% 0.21/0.43 ($false),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[124, 104, 76])).
% 0.21/0.43 % SZS output end Proof
%------------------------------------------------------------------------------