%------------------------------------------------------------------------------
% File     : Z3---4.8.9.0
% Problem  : MGT039-2 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp
% Command  : z3_tptp -proof -model -t:%d -file:%s

% Computer : n021.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 05:22:07 EDT 2022

% Result   : Unsatisfiable 0.22s 0.41s
% Output   : Proof 0.48s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : MGT039-2 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.14  % Command  : z3_tptp -proof -model -t:%d -file:%s
% 0.14/0.35  % Computer : n021.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Fri Sep  2 02:45:58 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.
% 0.22/0.41  % SZS status Unsatisfiable
% 0.22/0.41  % SZS output start Proof
% 0.22/0.41  tff(selection_favors_type, type, (
% 0.22/0.41     selection_favors: ( $i * $i * $i ) > $o)).
% 0.22/0.41  tff(end_time_type, type, (
% 0.22/0.41     end_time: $i > $i)).
% 0.22/0.41  tff(sk1_type, type, (
% 0.22/0.41     sk1: $i > $i)).
% 0.22/0.41  tff(sk3_type, type, (
% 0.22/0.41     sk3: $i)).
% 0.22/0.41  tff(first_movers_type, type, (
% 0.22/0.41     first_movers: $i)).
% 0.22/0.41  tff(efficient_producers_type, type, (
% 0.22/0.41     efficient_producers: $i)).
% 0.22/0.41  tff(sk2_type, type, (
% 0.22/0.41     sk2: ( $i * $i ) > $i)).
% 0.22/0.41  tff(greater_type, type, (
% 0.22/0.41     greater: ( $i * $i ) > $o)).
% 0.22/0.41  tff(appear_type, type, (
% 0.22/0.41     appear: ( $i * $i ) > $i)).
% 0.22/0.41  tff(greater_or_equal_type, type, (
% 0.22/0.41     greater_or_equal: ( $i * $i ) > $o)).
% 0.22/0.41  tff(critical_point_type, type, (
% 0.22/0.41     critical_point: $i > $i)).
% 0.22/0.41  tff(in_environment_type, type, (
% 0.22/0.41     in_environment: ( $i * $i ) > $o)).
% 0.22/0.41  tff(observational_period_type, type, (
% 0.22/0.41     observational_period: $i > $o)).
% 0.22/0.41  tff(propagation_strategy_type, type, (
% 0.22/0.41     propagation_strategy: $i > $o)).
% 0.22/0.41  tff(environment_type, type, (
% 0.22/0.41     environment: $i > $o)).
% 0.22/0.41  tff(slow_change_type, type, (
% 0.22/0.41     slow_change: $i > $o)).
% 0.22/0.41  tff(growth_rate_type, type, (
% 0.22/0.41     growth_rate: ( $i * $i ) > $i)).
% 0.22/0.41  tff(subpopulations_type, type, (
% 0.22/0.41     subpopulations: ( $i * $i * $i * $i ) > $o)).
% 0.22/0.41  tff(zero_type, type, (
% 0.22/0.41     zero: $i)).
% 0.22/0.41  tff(cardinality_at_time_type, type, (
% 0.22/0.41     cardinality_at_time: ( $i * $i ) > $i)).
% 0.22/0.41  tff(subpopulation_type, type, (
% 0.22/0.41     subpopulation: ( $i * $i * $i ) > $o)).
% 0.22/0.41  tff(start_time_type, type, (
% 0.22/0.41     start_time: $i > $i)).
% 0.22/0.41  tff(1,assumption,(~greater(sk2(sk1(sk3), sk3), appear(efficient_producers, sk1(sk3)))), introduced(assumption)).
% 0.22/0.41  tff(2,assumption,(~greater_or_equal(sk2(sk1(sk3), sk3), appear(efficient_producers, sk1(sk3)))), introduced(assumption)).
% 0.22/0.41  tff(3,plain,
% 0.22/0.41      (^[B: $i, A: $i] : refl(((~greater(A, B)) | greater_or_equal(A, B)) <=> ((~greater(A, B)) | greater_or_equal(A, B)))),
% 0.22/0.41      inference(bind,[status(th)],[])).
% 0.22/0.41  tff(4,plain,
% 0.22/0.41      (![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B)) <=> ![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))),
% 0.22/0.41      inference(quant_intro,[status(thm)],[3])).
% 0.22/0.41  tff(5,plain,
% 0.22/0.41      (![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B)) <=> ![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))),
% 0.22/0.41      inference(rewrite,[status(thm)],[])).
% 0.22/0.41  tff(6,axiom,(![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','mp_greater_or_equal_53')).
% 0.22/0.41  tff(7,plain,
% 0.22/0.41      (![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))),
% 0.22/0.41      inference(modus_ponens,[status(thm)],[6, 5])).
% 0.22/0.41  tff(8,plain,(
% 0.22/0.41      ![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))),
% 0.22/0.41      inference(skolemize,[status(sab)],[7])).
% 0.22/0.41  tff(9,plain,
% 0.22/0.41      (![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))),
% 0.22/0.41      inference(modus_ponens,[status(thm)],[8, 4])).
% 0.22/0.41  tff(10,plain,
% 0.22/0.41      (((~![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))) | ((~greater(sk2(sk1(sk3), sk3), appear(efficient_producers, sk1(sk3)))) | greater_or_equal(sk2(sk1(sk3), sk3), appear(efficient_producers, sk1(sk3))))) <=> ((~![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))) | (~greater(sk2(sk1(sk3), sk3), appear(efficient_producers, sk1(sk3)))) | greater_or_equal(sk2(sk1(sk3), sk3), appear(efficient_producers, sk1(sk3))))),
% 0.22/0.41      inference(rewrite,[status(thm)],[])).
% 0.22/0.41  tff(11,plain,
% 0.22/0.41      ((~![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))) | ((~greater(sk2(sk1(sk3), sk3), appear(efficient_producers, sk1(sk3)))) | greater_or_equal(sk2(sk1(sk3), sk3), appear(efficient_producers, sk1(sk3))))),
% 0.22/0.41      inference(quant_inst,[status(thm)],[])).
% 0.22/0.41  tff(12,plain,
% 0.22/0.41      ((~![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))) | (~greater(sk2(sk1(sk3), sk3), appear(efficient_producers, sk1(sk3)))) | greater_or_equal(sk2(sk1(sk3), sk3), appear(efficient_producers, sk1(sk3)))),
% 0.22/0.41      inference(modus_ponens,[status(thm)],[11, 10])).
% 0.22/0.41  tff(13,plain,
% 0.22/0.41      (~greater(sk2(sk1(sk3), sk3), appear(efficient_producers, sk1(sk3)))),
% 0.22/0.41      inference(unit_resolution,[status(thm)],[12, 9, 2])).
% 0.22/0.41  tff(14,assumption,(critical_point(sk1(sk3)) = appear(efficient_producers, sk1(sk3))), introduced(assumption)).
% 0.22/0.42  tff(15,plain,
% 0.22/0.42      (appear(efficient_producers, sk1(sk3)) = critical_point(sk1(sk3))),
% 0.22/0.42      inference(symmetry,[status(thm)],[14])).
% 0.22/0.42  tff(16,plain,
% 0.22/0.42      (greater_or_equal(sk2(sk1(sk3), sk3), appear(efficient_producers, sk1(sk3))) <=> greater_or_equal(sk2(sk1(sk3), sk3), critical_point(sk1(sk3)))),
% 0.22/0.42      inference(monotonicity,[status(thm)],[15])).
% 0.22/0.42  tff(17,plain,
% 0.22/0.42      (greater_or_equal(sk2(sk1(sk3), sk3), critical_point(sk1(sk3))) <=> greater_or_equal(sk2(sk1(sk3), sk3), appear(efficient_producers, sk1(sk3)))),
% 0.22/0.42      inference(symmetry,[status(thm)],[16])).
% 0.22/0.42  tff(18,plain,
% 0.22/0.42      ((~selection_favors(efficient_producers, first_movers, sk3)) <=> (~selection_favors(efficient_producers, first_movers, sk3))),
% 0.22/0.42      inference(rewrite,[status(thm)],[])).
% 0.22/0.42  tff(19,axiom,(~selection_favors(efficient_producers, first_movers, sk3)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_t8_60')).
% 0.22/0.42  tff(20,plain,
% 0.22/0.42      (~selection_favors(efficient_producers, first_movers, sk3)),
% 0.22/0.42      inference(modus_ponens,[status(thm)],[19, 18])).
% 0.22/0.42  tff(21,plain,
% 0.22/0.42      (observational_period(sk3) <=> observational_period(sk3)),
% 0.22/0.42      inference(rewrite,[status(thm)],[])).
% 0.22/0.42  tff(22,axiom,(observational_period(sk3)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_t8_58')).
% 0.22/0.42  tff(23,plain,
% 0.22/0.42      (observational_period(sk3)),
% 0.22/0.42      inference(modus_ponens,[status(thm)],[22, 21])).
% 0.22/0.42  tff(24,plain,
% 0.22/0.42      (^[A: $i] : refl((selection_favors(efficient_producers, first_movers, A) | (~observational_period(A)) | in_environment(A, sk1(A))) <=> (selection_favors(efficient_producers, first_movers, A) | (~observational_period(A)) | in_environment(A, sk1(A))))),
% 0.22/0.42      inference(bind,[status(th)],[])).
% 0.22/0.42  tff(25,plain,
% 0.22/0.42      (![A: $i] : (selection_favors(efficient_producers, first_movers, A) | (~observational_period(A)) | in_environment(A, sk1(A))) <=> ![A: $i] : (selection_favors(efficient_producers, first_movers, A) | (~observational_period(A)) | in_environment(A, sk1(A)))),
% 0.22/0.42      inference(quant_intro,[status(thm)],[24])).
% 0.22/0.42  tff(26,plain,
% 0.22/0.42      (![A: $i] : (selection_favors(efficient_producers, first_movers, A) | (~observational_period(A)) | in_environment(A, sk1(A))) <=> ![A: $i] : (selection_favors(efficient_producers, first_movers, A) | (~observational_period(A)) | in_environment(A, sk1(A)))),
% 0.22/0.42      inference(rewrite,[status(thm)],[])).
% 0.22/0.42  tff(27,plain,
% 0.22/0.42      (^[A: $i] : trans(monotonicity(trans(monotonicity(iff_true(asserted(propagation_strategy(first_movers)), (propagation_strategy(first_movers) <=> $true)), ((~propagation_strategy(first_movers)) <=> (~$true))), rewrite((~$true) <=> $false), ((~propagation_strategy(first_movers)) <=> $false)), trans(monotonicity(iff_true(asserted(propagation_strategy(efficient_producers)), (propagation_strategy(efficient_producers) <=> $true)), ((~propagation_strategy(efficient_producers)) <=> (~$true))), rewrite((~$true) <=> $false), ((~propagation_strategy(efficient_producers)) <=> $false)), (((~propagation_strategy(first_movers)) | selection_favors(efficient_producers, first_movers, A) | (~observational_period(A)) | (~propagation_strategy(efficient_producers)) | in_environment(A, sk1(A))) <=> ($false | selection_favors(efficient_producers, first_movers, A) | (~observational_period(A)) | $false | in_environment(A, sk1(A))))), rewrite(($false | selection_favors(efficient_producers, first_movers, A) | (~observational_period(A)) | $false | in_environment(A, sk1(A))) <=> (selection_favors(efficient_producers, first_movers, A) | (~observational_period(A)) | in_environment(A, sk1(A)))), (((~propagation_strategy(first_movers)) | selection_favors(efficient_producers, first_movers, A) | (~observational_period(A)) | (~propagation_strategy(efficient_producers)) | in_environment(A, sk1(A))) <=> (selection_favors(efficient_producers, first_movers, A) | (~observational_period(A)) | in_environment(A, sk1(A)))))),
% 0.22/0.42      inference(bind,[status(th)],[])).
% 0.22/0.42  tff(28,plain,
% 0.22/0.42      (![A: $i] : ((~propagation_strategy(first_movers)) | selection_favors(efficient_producers, first_movers, A) | (~observational_period(A)) | (~propagation_strategy(efficient_producers)) | in_environment(A, sk1(A))) <=> ![A: $i] : (selection_favors(efficient_producers, first_movers, A) | (~observational_period(A)) | in_environment(A, sk1(A)))),
% 0.22/0.42      inference(quant_intro,[status(thm)],[27])).
% 0.22/0.42  tff(29,plain,
% 0.22/0.42      (^[A: $i] : trans(monotonicity(trans(monotonicity(rewrite((((~observational_period(A)) | (~propagation_strategy(first_movers))) | (~propagation_strategy(efficient_producers))) <=> ((~propagation_strategy(first_movers)) | (~observational_period(A)) | (~propagation_strategy(efficient_producers)))), (((((~observational_period(A)) | (~propagation_strategy(first_movers))) | (~propagation_strategy(efficient_producers))) | in_environment(A, sk1(A))) <=> (((~propagation_strategy(first_movers)) | (~observational_period(A)) | (~propagation_strategy(efficient_producers))) | in_environment(A, sk1(A))))), rewrite((((~propagation_strategy(first_movers)) | (~observational_period(A)) | (~propagation_strategy(efficient_producers))) | in_environment(A, sk1(A))) <=> ((~propagation_strategy(first_movers)) | (~observational_period(A)) | (~propagation_strategy(efficient_producers)) | in_environment(A, sk1(A)))), (((((~observational_period(A)) | (~propagation_strategy(first_movers))) | (~propagation_strategy(efficient_producers))) | in_environment(A, sk1(A))) <=> ((~propagation_strategy(first_movers)) | (~observational_period(A)) | (~propagation_strategy(efficient_producers)) | in_environment(A, sk1(A))))), ((((((~observational_period(A)) | (~propagation_strategy(first_movers))) | (~propagation_strategy(efficient_producers))) | in_environment(A, sk1(A))) | selection_favors(efficient_producers, first_movers, A)) <=> (((~propagation_strategy(first_movers)) | (~observational_period(A)) | (~propagation_strategy(efficient_producers)) | in_environment(A, sk1(A))) | selection_favors(efficient_producers, first_movers, A)))), rewrite((((~propagation_strategy(first_movers)) | (~observational_period(A)) | (~propagation_strategy(efficient_producers)) | in_environment(A, sk1(A))) | selection_favors(efficient_producers, first_movers, A)) <=> ((~propagation_strategy(first_movers)) | selection_favors(efficient_producers, first_movers, A) | (~observational_period(A)) | (~propagation_strategy(efficient_producers)) | in_environment(A, sk1(A)))), ((((((~observational_period(A)) | (~propagation_strategy(first_movers))) | (~propagation_strategy(efficient_producers))) | in_environment(A, sk1(A))) | selection_favors(efficient_producers, first_movers, A)) <=> ((~propagation_strategy(first_movers)) | selection_favors(efficient_producers, first_movers, A) | (~observational_period(A)) | (~propagation_strategy(efficient_producers)) | in_environment(A, sk1(A)))))),
% 0.22/0.42      inference(bind,[status(th)],[])).
% 0.22/0.42  tff(30,plain,
% 0.22/0.42      (![A: $i] : (((((~observational_period(A)) | (~propagation_strategy(first_movers))) | (~propagation_strategy(efficient_producers))) | in_environment(A, sk1(A))) | selection_favors(efficient_producers, first_movers, A)) <=> ![A: $i] : ((~propagation_strategy(first_movers)) | selection_favors(efficient_producers, first_movers, A) | (~observational_period(A)) | (~propagation_strategy(efficient_producers)) | in_environment(A, sk1(A)))),
% 0.22/0.42      inference(quant_intro,[status(thm)],[29])).
% 0.22/0.42  tff(31,axiom,(![A: $i] : (((((~observational_period(A)) | (~propagation_strategy(first_movers))) | (~propagation_strategy(efficient_producers))) | in_environment(A, sk1(A))) | selection_favors(efficient_producers, first_movers, A))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','mp3_favoured_trategy_36')).
% 0.22/0.42  tff(32,plain,
% 0.22/0.42      (![A: $i] : ((~propagation_strategy(first_movers)) | selection_favors(efficient_producers, first_movers, A) | (~observational_period(A)) | (~propagation_strategy(efficient_producers)) | in_environment(A, sk1(A)))),
% 0.22/0.42      inference(modus_ponens,[status(thm)],[31, 30])).
% 0.22/0.42  tff(33,plain,
% 0.22/0.42      (![A: $i] : (selection_favors(efficient_producers, first_movers, A) | (~observational_period(A)) | in_environment(A, sk1(A)))),
% 0.22/0.42      inference(modus_ponens,[status(thm)],[32, 28])).
% 0.22/0.42  tff(34,plain,
% 0.22/0.42      (![A: $i] : (selection_favors(efficient_producers, first_movers, A) | (~observational_period(A)) | in_environment(A, sk1(A)))),
% 0.22/0.42      inference(modus_ponens,[status(thm)],[33, 26])).
% 0.22/0.42  tff(35,plain,(
% 0.22/0.42      ![A: $i] : (selection_favors(efficient_producers, first_movers, A) | (~observational_period(A)) | in_environment(A, sk1(A)))),
% 0.22/0.42      inference(skolemize,[status(sab)],[34])).
% 0.22/0.42  tff(36,plain,
% 0.22/0.42      (![A: $i] : (selection_favors(efficient_producers, first_movers, A) | (~observational_period(A)) | in_environment(A, sk1(A)))),
% 0.22/0.42      inference(modus_ponens,[status(thm)],[35, 25])).
% 0.22/0.42  tff(37,plain,
% 0.22/0.42      (((~![A: $i] : (selection_favors(efficient_producers, first_movers, A) | (~observational_period(A)) | in_environment(A, sk1(A)))) | (selection_favors(efficient_producers, first_movers, sk3) | (~observational_period(sk3)) | in_environment(sk3, sk1(sk3)))) <=> ((~![A: $i] : (selection_favors(efficient_producers, first_movers, A) | (~observational_period(A)) | in_environment(A, sk1(A)))) | selection_favors(efficient_producers, first_movers, sk3) | (~observational_period(sk3)) | in_environment(sk3, sk1(sk3)))),
% 0.22/0.42      inference(rewrite,[status(thm)],[])).
% 0.22/0.42  tff(38,plain,
% 0.22/0.42      ((~![A: $i] : (selection_favors(efficient_producers, first_movers, A) | (~observational_period(A)) | in_environment(A, sk1(A)))) | (selection_favors(efficient_producers, first_movers, sk3) | (~observational_period(sk3)) | in_environment(sk3, sk1(sk3)))),
% 0.22/0.42      inference(quant_inst,[status(thm)],[])).
% 0.22/0.42  tff(39,plain,
% 0.22/0.42      ((~![A: $i] : (selection_favors(efficient_producers, first_movers, A) | (~observational_period(A)) | in_environment(A, sk1(A)))) | selection_favors(efficient_producers, first_movers, sk3) | (~observational_period(sk3)) | in_environment(sk3, sk1(sk3))),
% 0.22/0.42      inference(modus_ponens,[status(thm)],[38, 37])).
% 0.22/0.42  tff(40,plain,
% 0.22/0.42      (in_environment(sk3, sk1(sk3))),
% 0.22/0.42      inference(unit_resolution,[status(thm)],[39, 36, 23, 20])).
% 0.22/0.42  tff(41,plain,
% 0.22/0.42      (^[A: $i] : refl((selection_favors(efficient_producers, first_movers, A) | environment(sk1(A)) | (~observational_period(A))) <=> (selection_favors(efficient_producers, first_movers, A) | environment(sk1(A)) | (~observational_period(A))))),
% 0.22/0.42      inference(bind,[status(th)],[])).
% 0.22/0.42  tff(42,plain,
% 0.22/0.42      (![A: $i] : (selection_favors(efficient_producers, first_movers, A) | environment(sk1(A)) | (~observational_period(A))) <=> ![A: $i] : (selection_favors(efficient_producers, first_movers, A) | environment(sk1(A)) | (~observational_period(A)))),
% 0.22/0.42      inference(quant_intro,[status(thm)],[41])).
% 0.22/0.42  tff(43,plain,
% 0.22/0.42      (![A: $i] : (selection_favors(efficient_producers, first_movers, A) | environment(sk1(A)) | (~observational_period(A))) <=> ![A: $i] : (selection_favors(efficient_producers, first_movers, A) | environment(sk1(A)) | (~observational_period(A)))),
% 0.22/0.42      inference(rewrite,[status(thm)],[])).
% 0.22/0.42  tff(44,plain,
% 0.22/0.42      (^[A: $i] : trans(monotonicity(trans(monotonicity(iff_true(asserted(propagation_strategy(first_movers)), (propagation_strategy(first_movers) <=> $true)), ((~propagation_strategy(first_movers)) <=> (~$true))), rewrite((~$true) <=> $false), ((~propagation_strategy(first_movers)) <=> $false)), trans(monotonicity(iff_true(asserted(propagation_strategy(efficient_producers)), (propagation_strategy(efficient_producers) <=> $true)), ((~propagation_strategy(efficient_producers)) <=> (~$true))), rewrite((~$true) <=> $false), ((~propagation_strategy(efficient_producers)) <=> $false)), (((~propagation_strategy(first_movers)) | selection_favors(efficient_producers, first_movers, A) | environment(sk1(A)) | (~observational_period(A)) | (~propagation_strategy(efficient_producers))) <=> ($false | selection_favors(efficient_producers, first_movers, A) | environment(sk1(A)) | (~observational_period(A)) | $false))), rewrite(($false | selection_favors(efficient_producers, first_movers, A) | environment(sk1(A)) | (~observational_period(A)) | $false) <=> (selection_favors(efficient_producers, first_movers, A) | environment(sk1(A)) | (~observational_period(A)))), (((~propagation_strategy(first_movers)) | selection_favors(efficient_producers, first_movers, A) | environment(sk1(A)) | (~observational_period(A)) | (~propagation_strategy(efficient_producers))) <=> (selection_favors(efficient_producers, first_movers, A) | environment(sk1(A)) | (~observational_period(A)))))),
% 0.22/0.42      inference(bind,[status(th)],[])).
% 0.22/0.42  tff(45,plain,
% 0.22/0.42      (![A: $i] : ((~propagation_strategy(first_movers)) | selection_favors(efficient_producers, first_movers, A) | environment(sk1(A)) | (~observational_period(A)) | (~propagation_strategy(efficient_producers))) <=> ![A: $i] : (selection_favors(efficient_producers, first_movers, A) | environment(sk1(A)) | (~observational_period(A)))),
% 0.22/0.42      inference(quant_intro,[status(thm)],[44])).
% 0.22/0.42  tff(46,plain,
% 0.22/0.42      (^[A: $i] : trans(monotonicity(trans(monotonicity(rewrite((((~observational_period(A)) | (~propagation_strategy(first_movers))) | (~propagation_strategy(efficient_producers))) <=> ((~propagation_strategy(first_movers)) | (~observational_period(A)) | (~propagation_strategy(efficient_producers)))), (((((~observational_period(A)) | (~propagation_strategy(first_movers))) | (~propagation_strategy(efficient_producers))) | environment(sk1(A))) <=> (((~propagation_strategy(first_movers)) | (~observational_period(A)) | (~propagation_strategy(efficient_producers))) | environment(sk1(A))))), rewrite((((~propagation_strategy(first_movers)) | (~observational_period(A)) | (~propagation_strategy(efficient_producers))) | environment(sk1(A))) <=> ((~propagation_strategy(first_movers)) | environment(sk1(A)) | (~observational_period(A)) | (~propagation_strategy(efficient_producers)))), (((((~observational_period(A)) | (~propagation_strategy(first_movers))) | (~propagation_strategy(efficient_producers))) | environment(sk1(A))) <=> ((~propagation_strategy(first_movers)) | environment(sk1(A)) | (~observational_period(A)) | (~propagation_strategy(efficient_producers))))), ((((((~observational_period(A)) | (~propagation_strategy(first_movers))) | (~propagation_strategy(efficient_producers))) | environment(sk1(A))) | selection_favors(efficient_producers, first_movers, A)) <=> (((~propagation_strategy(first_movers)) | environment(sk1(A)) | (~observational_period(A)) | (~propagation_strategy(efficient_producers))) | selection_favors(efficient_producers, first_movers, A)))), rewrite((((~propagation_strategy(first_movers)) | environment(sk1(A)) | (~observational_period(A)) | (~propagation_strategy(efficient_producers))) | selection_favors(efficient_producers, first_movers, A)) <=> ((~propagation_strategy(first_movers)) | selection_favors(efficient_producers, first_movers, A) | environment(sk1(A)) | (~observational_period(A)) | (~propagation_strategy(efficient_producers)))), ((((((~observational_period(A)) | (~propagation_strategy(first_movers))) | (~propagation_strategy(efficient_producers))) | environment(sk1(A))) | selection_favors(efficient_producers, first_movers, A)) <=> ((~propagation_strategy(first_movers)) | selection_favors(efficient_producers, first_movers, A) | environment(sk1(A)) | (~observational_period(A)) | (~propagation_strategy(efficient_producers)))))),
% 0.22/0.42      inference(bind,[status(th)],[])).
% 0.22/0.42  tff(47,plain,
% 0.22/0.42      (![A: $i] : (((((~observational_period(A)) | (~propagation_strategy(first_movers))) | (~propagation_strategy(efficient_producers))) | environment(sk1(A))) | selection_favors(efficient_producers, first_movers, A)) <=> ![A: $i] : ((~propagation_strategy(first_movers)) | selection_favors(efficient_producers, first_movers, A) | environment(sk1(A)) | (~observational_period(A)) | (~propagation_strategy(efficient_producers)))),
% 0.22/0.42      inference(quant_intro,[status(thm)],[46])).
% 0.22/0.42  tff(48,axiom,(![A: $i] : (((((~observational_period(A)) | (~propagation_strategy(first_movers))) | (~propagation_strategy(efficient_producers))) | environment(sk1(A))) | selection_favors(efficient_producers, first_movers, A))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','mp3_favoured_trategy_35')).
% 0.22/0.42  tff(49,plain,
% 0.22/0.42      (![A: $i] : ((~propagation_strategy(first_movers)) | selection_favors(efficient_producers, first_movers, A) | environment(sk1(A)) | (~observational_period(A)) | (~propagation_strategy(efficient_producers)))),
% 0.22/0.42      inference(modus_ponens,[status(thm)],[48, 47])).
% 0.22/0.42  tff(50,plain,
% 0.22/0.42      (![A: $i] : (selection_favors(efficient_producers, first_movers, A) | environment(sk1(A)) | (~observational_period(A)))),
% 0.22/0.42      inference(modus_ponens,[status(thm)],[49, 45])).
% 0.22/0.42  tff(51,plain,
% 0.22/0.42      (![A: $i] : (selection_favors(efficient_producers, first_movers, A) | environment(sk1(A)) | (~observational_period(A)))),
% 0.22/0.42      inference(modus_ponens,[status(thm)],[50, 43])).
% 0.22/0.42  tff(52,plain,(
% 0.22/0.42      ![A: $i] : (selection_favors(efficient_producers, first_movers, A) | environment(sk1(A)) | (~observational_period(A)))),
% 0.22/0.42      inference(skolemize,[status(sab)],[51])).
% 0.22/0.42  tff(53,plain,
% 0.22/0.42      (![A: $i] : (selection_favors(efficient_producers, first_movers, A) | environment(sk1(A)) | (~observational_period(A)))),
% 0.22/0.42      inference(modus_ponens,[status(thm)],[52, 42])).
% 0.22/0.42  tff(54,plain,
% 0.22/0.42      (((~![A: $i] : (selection_favors(efficient_producers, first_movers, A) | environment(sk1(A)) | (~observational_period(A)))) | (selection_favors(efficient_producers, first_movers, sk3) | environment(sk1(sk3)) | (~observational_period(sk3)))) <=> ((~![A: $i] : (selection_favors(efficient_producers, first_movers, A) | environment(sk1(A)) | (~observational_period(A)))) | selection_favors(efficient_producers, first_movers, sk3) | environment(sk1(sk3)) | (~observational_period(sk3)))),
% 0.22/0.42      inference(rewrite,[status(thm)],[])).
% 0.22/0.42  tff(55,plain,
% 0.22/0.42      ((~![A: $i] : (selection_favors(efficient_producers, first_movers, A) | environment(sk1(A)) | (~observational_period(A)))) | (selection_favors(efficient_producers, first_movers, sk3) | environment(sk1(sk3)) | (~observational_period(sk3)))),
% 0.22/0.42      inference(quant_inst,[status(thm)],[])).
% 0.22/0.42  tff(56,plain,
% 0.22/0.42      ((~![A: $i] : (selection_favors(efficient_producers, first_movers, A) | environment(sk1(A)) | (~observational_period(A)))) | selection_favors(efficient_producers, first_movers, sk3) | environment(sk1(sk3)) | (~observational_period(sk3))),
% 0.22/0.42      inference(modus_ponens,[status(thm)],[55, 54])).
% 0.22/0.42  tff(57,plain,
% 0.22/0.42      (environment(sk1(sk3))),
% 0.22/0.42      inference(unit_resolution,[status(thm)],[56, 53, 23, 20])).
% 0.22/0.42  tff(58,plain,
% 0.22/0.42      (slow_change(sk3) <=> slow_change(sk3)),
% 0.22/0.42      inference(rewrite,[status(thm)],[])).
% 0.22/0.42  tff(59,axiom,(slow_change(sk3)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_t8_59')).
% 0.22/0.42  tff(60,plain,
% 0.22/0.42      (slow_change(sk3)),
% 0.22/0.42      inference(modus_ponens,[status(thm)],[59, 58])).
% 0.22/0.42  tff(61,plain,
% 0.22/0.42      (^[B: $i, A: $i] : refl(((~environment(B)) | (~observational_period(A)) | (~in_environment(A, B)) | (~slow_change(A)) | greater(sk2(B, A), critical_point(B))) <=> ((~environment(B)) | (~observational_period(A)) | (~in_environment(A, B)) | (~slow_change(A)) | greater(sk2(B, A), critical_point(B))))),
% 0.22/0.42      inference(bind,[status(th)],[])).
% 0.22/0.42  tff(62,plain,
% 0.22/0.42      (![B: $i, A: $i] : ((~environment(B)) | (~observational_period(A)) | (~in_environment(A, B)) | (~slow_change(A)) | greater(sk2(B, A), critical_point(B))) <=> ![B: $i, A: $i] : ((~environment(B)) | (~observational_period(A)) | (~in_environment(A, B)) | (~slow_change(A)) | greater(sk2(B, A), critical_point(B)))),
% 0.22/0.42      inference(quant_intro,[status(thm)],[61])).
% 0.22/0.42  tff(63,plain,
% 0.22/0.42      (![B: $i, A: $i] : ((~environment(B)) | (~observational_period(A)) | (~in_environment(A, B)) | (~slow_change(A)) | greater(sk2(B, A), critical_point(B))) <=> ![B: $i, A: $i] : ((~environment(B)) | (~observational_period(A)) | (~in_environment(A, B)) | (~slow_change(A)) | greater(sk2(B, A), critical_point(B)))),
% 0.22/0.42      inference(rewrite,[status(thm)],[])).
% 0.22/0.42  tff(64,plain,
% 0.22/0.42      (^[B: $i, A: $i] : trans(monotonicity(trans(monotonicity(rewrite((((~observational_period(A)) | (~slow_change(A))) | (~environment(B))) <=> ((~environment(B)) | (~observational_period(A)) | (~slow_change(A)))), (((((~observational_period(A)) | (~slow_change(A))) | (~environment(B))) | (~in_environment(A, B))) <=> (((~environment(B)) | (~observational_period(A)) | (~slow_change(A))) | (~in_environment(A, B))))), rewrite((((~environment(B)) | (~observational_period(A)) | (~slow_change(A))) | (~in_environment(A, B))) <=> ((~environment(B)) | (~observational_period(A)) | (~in_environment(A, B)) | (~slow_change(A)))), (((((~observational_period(A)) | (~slow_change(A))) | (~environment(B))) | (~in_environment(A, B))) <=> ((~environment(B)) | (~observational_period(A)) | (~in_environment(A, B)) | (~slow_change(A))))), ((((((~observational_period(A)) | (~slow_change(A))) | (~environment(B))) | (~in_environment(A, B))) | greater(sk2(B, A), critical_point(B))) <=> (((~environment(B)) | (~observational_period(A)) | (~in_environment(A, B)) | (~slow_change(A))) | greater(sk2(B, A), critical_point(B))))), rewrite((((~environment(B)) | (~observational_period(A)) | (~in_environment(A, B)) | (~slow_change(A))) | greater(sk2(B, A), critical_point(B))) <=> ((~environment(B)) | (~observational_period(A)) | (~in_environment(A, B)) | (~slow_change(A)) | greater(sk2(B, A), critical_point(B)))), ((((((~observational_period(A)) | (~slow_change(A))) | (~environment(B))) | (~in_environment(A, B))) | greater(sk2(B, A), critical_point(B))) <=> ((~environment(B)) | (~observational_period(A)) | (~in_environment(A, B)) | (~slow_change(A)) | greater(sk2(B, A), critical_point(B)))))),
% 0.22/0.42      inference(bind,[status(th)],[])).
% 0.22/0.42  tff(65,plain,
% 0.22/0.42      (![B: $i, A: $i] : (((((~observational_period(A)) | (~slow_change(A))) | (~environment(B))) | (~in_environment(A, B))) | greater(sk2(B, A), critical_point(B))) <=> ![B: $i, A: $i] : ((~environment(B)) | (~observational_period(A)) | (~in_environment(A, B)) | (~slow_change(A)) | greater(sk2(B, A), critical_point(B)))),
% 0.22/0.42      inference(quant_intro,[status(thm)],[64])).
% 0.22/0.42  tff(66,axiom,(![B: $i, A: $i] : (((((~observational_period(A)) | (~slow_change(A))) | (~environment(B))) | (~in_environment(A, B))) | greater(sk2(B, A), critical_point(B)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','mp4_critical_point_39')).
% 0.22/0.42  tff(67,plain,
% 0.22/0.42      (![B: $i, A: $i] : ((~environment(B)) | (~observational_period(A)) | (~in_environment(A, B)) | (~slow_change(A)) | greater(sk2(B, A), critical_point(B)))),
% 0.22/0.42      inference(modus_ponens,[status(thm)],[66, 65])).
% 0.22/0.42  tff(68,plain,
% 0.22/0.42      (![B: $i, A: $i] : ((~environment(B)) | (~observational_period(A)) | (~in_environment(A, B)) | (~slow_change(A)) | greater(sk2(B, A), critical_point(B)))),
% 0.22/0.42      inference(modus_ponens,[status(thm)],[67, 63])).
% 0.22/0.42  tff(69,plain,(
% 0.22/0.42      ![B: $i, A: $i] : ((~environment(B)) | (~observational_period(A)) | (~in_environment(A, B)) | (~slow_change(A)) | greater(sk2(B, A), critical_point(B)))),
% 0.22/0.42      inference(skolemize,[status(sab)],[68])).
% 0.22/0.42  tff(70,plain,
% 0.22/0.42      (![B: $i, A: $i] : ((~environment(B)) | (~observational_period(A)) | (~in_environment(A, B)) | (~slow_change(A)) | greater(sk2(B, A), critical_point(B)))),
% 0.22/0.42      inference(modus_ponens,[status(thm)],[69, 62])).
% 0.22/0.42  tff(71,plain,
% 0.22/0.42      (((~![B: $i, A: $i] : ((~environment(B)) | (~observational_period(A)) | (~in_environment(A, B)) | (~slow_change(A)) | greater(sk2(B, A), critical_point(B)))) | ((~observational_period(sk3)) | (~environment(sk1(sk3))) | (~in_environment(sk3, sk1(sk3))) | (~slow_change(sk3)) | greater(sk2(sk1(sk3), sk3), critical_point(sk1(sk3))))) <=> ((~![B: $i, A: $i] : ((~environment(B)) | (~observational_period(A)) | (~in_environment(A, B)) | (~slow_change(A)) | greater(sk2(B, A), critical_point(B)))) | (~observational_period(sk3)) | (~environment(sk1(sk3))) | (~in_environment(sk3, sk1(sk3))) | (~slow_change(sk3)) | greater(sk2(sk1(sk3), sk3), critical_point(sk1(sk3))))),
% 0.22/0.42      inference(rewrite,[status(thm)],[])).
% 0.22/0.42  tff(72,plain,
% 0.22/0.42      (((~environment(sk1(sk3))) | (~observational_period(sk3)) | (~in_environment(sk3, sk1(sk3))) | (~slow_change(sk3)) | greater(sk2(sk1(sk3), sk3), critical_point(sk1(sk3)))) <=> ((~observational_period(sk3)) | (~environment(sk1(sk3))) | (~in_environment(sk3, sk1(sk3))) | (~slow_change(sk3)) | greater(sk2(sk1(sk3), sk3), critical_point(sk1(sk3))))),
% 0.22/0.42      inference(rewrite,[status(thm)],[])).
% 0.22/0.42  tff(73,plain,
% 0.22/0.42      (((~![B: $i, A: $i] : ((~environment(B)) | (~observational_period(A)) | (~in_environment(A, B)) | (~slow_change(A)) | greater(sk2(B, A), critical_point(B)))) | ((~environment(sk1(sk3))) | (~observational_period(sk3)) | (~in_environment(sk3, sk1(sk3))) | (~slow_change(sk3)) | greater(sk2(sk1(sk3), sk3), critical_point(sk1(sk3))))) <=> ((~![B: $i, A: $i] : ((~environment(B)) | (~observational_period(A)) | (~in_environment(A, B)) | (~slow_change(A)) | greater(sk2(B, A), critical_point(B)))) | ((~observational_period(sk3)) | (~environment(sk1(sk3))) | (~in_environment(sk3, sk1(sk3))) | (~slow_change(sk3)) | greater(sk2(sk1(sk3), sk3), critical_point(sk1(sk3)))))),
% 0.22/0.43      inference(monotonicity,[status(thm)],[72])).
% 0.22/0.43  tff(74,plain,
% 0.22/0.43      (((~![B: $i, A: $i] : ((~environment(B)) | (~observational_period(A)) | (~in_environment(A, B)) | (~slow_change(A)) | greater(sk2(B, A), critical_point(B)))) | ((~environment(sk1(sk3))) | (~observational_period(sk3)) | (~in_environment(sk3, sk1(sk3))) | (~slow_change(sk3)) | greater(sk2(sk1(sk3), sk3), critical_point(sk1(sk3))))) <=> ((~![B: $i, A: $i] : ((~environment(B)) | (~observational_period(A)) | (~in_environment(A, B)) | (~slow_change(A)) | greater(sk2(B, A), critical_point(B)))) | (~observational_period(sk3)) | (~environment(sk1(sk3))) | (~in_environment(sk3, sk1(sk3))) | (~slow_change(sk3)) | greater(sk2(sk1(sk3), sk3), critical_point(sk1(sk3))))),
% 0.22/0.43      inference(transitivity,[status(thm)],[73, 71])).
% 0.22/0.43  tff(75,plain,
% 0.22/0.43      ((~![B: $i, A: $i] : ((~environment(B)) | (~observational_period(A)) | (~in_environment(A, B)) | (~slow_change(A)) | greater(sk2(B, A), critical_point(B)))) | ((~environment(sk1(sk3))) | (~observational_period(sk3)) | (~in_environment(sk3, sk1(sk3))) | (~slow_change(sk3)) | greater(sk2(sk1(sk3), sk3), critical_point(sk1(sk3))))),
% 0.22/0.43      inference(quant_inst,[status(thm)],[])).
% 0.22/0.43  tff(76,plain,
% 0.22/0.43      ((~![B: $i, A: $i] : ((~environment(B)) | (~observational_period(A)) | (~in_environment(A, B)) | (~slow_change(A)) | greater(sk2(B, A), critical_point(B)))) | (~observational_period(sk3)) | (~environment(sk1(sk3))) | (~in_environment(sk3, sk1(sk3))) | (~slow_change(sk3)) | greater(sk2(sk1(sk3), sk3), critical_point(sk1(sk3)))),
% 0.22/0.43      inference(modus_ponens,[status(thm)],[75, 74])).
% 0.22/0.43  tff(77,plain,
% 0.22/0.43      (greater(sk2(sk1(sk3), sk3), critical_point(sk1(sk3)))),
% 0.22/0.43      inference(unit_resolution,[status(thm)],[76, 70, 23, 60, 57, 40])).
% 0.22/0.43  tff(78,plain,
% 0.22/0.43      (((~![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))) | ((~greater(sk2(sk1(sk3), sk3), critical_point(sk1(sk3)))) | greater_or_equal(sk2(sk1(sk3), sk3), critical_point(sk1(sk3))))) <=> ((~![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))) | (~greater(sk2(sk1(sk3), sk3), critical_point(sk1(sk3)))) | greater_or_equal(sk2(sk1(sk3), sk3), critical_point(sk1(sk3))))),
% 0.22/0.43      inference(rewrite,[status(thm)],[])).
% 0.22/0.43  tff(79,plain,
% 0.22/0.43      ((~![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))) | ((~greater(sk2(sk1(sk3), sk3), critical_point(sk1(sk3)))) | greater_or_equal(sk2(sk1(sk3), sk3), critical_point(sk1(sk3))))),
% 0.22/0.43      inference(quant_inst,[status(thm)],[])).
% 0.22/0.43  tff(80,plain,
% 0.22/0.43      ((~![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))) | (~greater(sk2(sk1(sk3), sk3), critical_point(sk1(sk3)))) | greater_or_equal(sk2(sk1(sk3), sk3), critical_point(sk1(sk3)))),
% 0.22/0.43      inference(modus_ponens,[status(thm)],[79, 78])).
% 0.22/0.43  tff(81,plain,
% 0.22/0.43      (greater_or_equal(sk2(sk1(sk3), sk3), critical_point(sk1(sk3)))),
% 0.22/0.43      inference(unit_resolution,[status(thm)],[80, 9, 77])).
% 0.22/0.43  tff(82,plain,
% 0.22/0.43      (greater_or_equal(sk2(sk1(sk3), sk3), appear(efficient_producers, sk1(sk3)))),
% 0.22/0.43      inference(modus_ponens,[status(thm)],[81, 17])).
% 0.22/0.43  tff(83,plain,
% 0.22/0.43      ($false),
% 0.22/0.43      inference(unit_resolution,[status(thm)],[2, 82])).
% 0.22/0.43  tff(84,plain,((~(critical_point(sk1(sk3)) = appear(efficient_producers, sk1(sk3)))) | greater_or_equal(sk2(sk1(sk3), sk3), appear(efficient_producers, sk1(sk3)))), inference(lemma,lemma(discharge,[]))).
% 0.22/0.43  tff(85,plain,
% 0.22/0.43      (~(critical_point(sk1(sk3)) = appear(efficient_producers, sk1(sk3)))),
% 0.22/0.43      inference(unit_resolution,[status(thm)],[84, 2])).
% 0.22/0.43  tff(86,plain,
% 0.22/0.43      (^[A: $i] : refl(((~environment(A)) | greater_or_equal(critical_point(A), appear(efficient_producers, A))) <=> ((~environment(A)) | greater_or_equal(critical_point(A), appear(efficient_producers, A))))),
% 0.22/0.43      inference(bind,[status(th)],[])).
% 0.22/0.43  tff(87,plain,
% 0.22/0.43      (![A: $i] : ((~environment(A)) | greater_or_equal(critical_point(A), appear(efficient_producers, A))) <=> ![A: $i] : ((~environment(A)) | greater_or_equal(critical_point(A), appear(efficient_producers, A)))),
% 0.22/0.43      inference(quant_intro,[status(thm)],[86])).
% 0.22/0.43  tff(88,plain,
% 0.22/0.43      (![A: $i] : ((~environment(A)) | greater_or_equal(critical_point(A), appear(efficient_producers, A))) <=> ![A: $i] : ((~environment(A)) | greater_or_equal(critical_point(A), appear(efficient_producers, A)))),
% 0.22/0.43      inference(rewrite,[status(thm)],[])).
% 0.22/0.43  tff(89,axiom,(![A: $i] : ((~environment(A)) | greater_or_equal(critical_point(A), appear(efficient_producers, A)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','mp_critical_point_after_EP_48')).
% 0.22/0.43  tff(90,plain,
% 0.22/0.43      (![A: $i] : ((~environment(A)) | greater_or_equal(critical_point(A), appear(efficient_producers, A)))),
% 0.22/0.43      inference(modus_ponens,[status(thm)],[89, 88])).
% 0.22/0.43  tff(91,plain,(
% 0.22/0.43      ![A: $i] : ((~environment(A)) | greater_or_equal(critical_point(A), appear(efficient_producers, A)))),
% 0.22/0.43      inference(skolemize,[status(sab)],[90])).
% 0.22/0.43  tff(92,plain,
% 0.22/0.43      (![A: $i] : ((~environment(A)) | greater_or_equal(critical_point(A), appear(efficient_producers, A)))),
% 0.22/0.43      inference(modus_ponens,[status(thm)],[91, 87])).
% 0.22/0.43  tff(93,plain,
% 0.22/0.43      (((~![A: $i] : ((~environment(A)) | greater_or_equal(critical_point(A), appear(efficient_producers, A)))) | ((~environment(sk1(sk3))) | greater_or_equal(critical_point(sk1(sk3)), appear(efficient_producers, sk1(sk3))))) <=> ((~![A: $i] : ((~environment(A)) | greater_or_equal(critical_point(A), appear(efficient_producers, A)))) | (~environment(sk1(sk3))) | greater_or_equal(critical_point(sk1(sk3)), appear(efficient_producers, sk1(sk3))))),
% 0.22/0.43      inference(rewrite,[status(thm)],[])).
% 0.22/0.43  tff(94,plain,
% 0.22/0.43      ((~![A: $i] : ((~environment(A)) | greater_or_equal(critical_point(A), appear(efficient_producers, A)))) | ((~environment(sk1(sk3))) | greater_or_equal(critical_point(sk1(sk3)), appear(efficient_producers, sk1(sk3))))),
% 0.22/0.43      inference(quant_inst,[status(thm)],[])).
% 0.22/0.43  tff(95,plain,
% 0.22/0.43      ((~![A: $i] : ((~environment(A)) | greater_or_equal(critical_point(A), appear(efficient_producers, A)))) | (~environment(sk1(sk3))) | greater_or_equal(critical_point(sk1(sk3)), appear(efficient_producers, sk1(sk3)))),
% 0.22/0.43      inference(modus_ponens,[status(thm)],[94, 93])).
% 0.22/0.43  tff(96,plain,
% 0.22/0.43      (greater_or_equal(critical_point(sk1(sk3)), appear(efficient_producers, sk1(sk3)))),
% 0.22/0.43      inference(unit_resolution,[status(thm)],[95, 92, 57])).
% 0.22/0.43  tff(97,plain,
% 0.22/0.43      (^[B: $i, A: $i] : refl((greater(A, B) | (A = B) | (~greater_or_equal(A, B))) <=> (greater(A, B) | (A = B) | (~greater_or_equal(A, B))))),
% 0.22/0.43      inference(bind,[status(th)],[])).
% 0.22/0.43  tff(98,plain,
% 0.22/0.43      (![B: $i, A: $i] : (greater(A, B) | (A = B) | (~greater_or_equal(A, B))) <=> ![B: $i, A: $i] : (greater(A, B) | (A = B) | (~greater_or_equal(A, B)))),
% 0.22/0.43      inference(quant_intro,[status(thm)],[97])).
% 0.22/0.43  tff(99,plain,
% 0.22/0.43      (![B: $i, A: $i] : (greater(A, B) | (A = B) | (~greater_or_equal(A, B))) <=> ![B: $i, A: $i] : (greater(A, B) | (A = B) | (~greater_or_equal(A, B)))),
% 0.22/0.43      inference(rewrite,[status(thm)],[])).
% 0.22/0.43  tff(100,plain,
% 0.22/0.43      (^[B: $i, A: $i] : rewrite((((~greater_or_equal(A, B)) | greater(A, B)) | (A = B)) <=> (greater(A, B) | (A = B) | (~greater_or_equal(A, B))))),
% 0.22/0.43      inference(bind,[status(th)],[])).
% 0.22/0.43  tff(101,plain,
% 0.22/0.43      (![B: $i, A: $i] : (((~greater_or_equal(A, B)) | greater(A, B)) | (A = B)) <=> ![B: $i, A: $i] : (greater(A, B) | (A = B) | (~greater_or_equal(A, B)))),
% 0.22/0.43      inference(quant_intro,[status(thm)],[100])).
% 0.22/0.43  tff(102,axiom,(![B: $i, A: $i] : (((~greater_or_equal(A, B)) | greater(A, B)) | (A = B))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','mp_greater_or_equal_52')).
% 0.22/0.43  tff(103,plain,
% 0.22/0.43      (![B: $i, A: $i] : (greater(A, B) | (A = B) | (~greater_or_equal(A, B)))),
% 0.22/0.43      inference(modus_ponens,[status(thm)],[102, 101])).
% 0.22/0.43  tff(104,plain,
% 0.22/0.43      (![B: $i, A: $i] : (greater(A, B) | (A = B) | (~greater_or_equal(A, B)))),
% 0.22/0.43      inference(modus_ponens,[status(thm)],[103, 99])).
% 0.22/0.43  tff(105,plain,(
% 0.22/0.43      ![B: $i, A: $i] : (greater(A, B) | (A = B) | (~greater_or_equal(A, B)))),
% 0.22/0.43      inference(skolemize,[status(sab)],[104])).
% 0.22/0.43  tff(106,plain,
% 0.22/0.43      (![B: $i, A: $i] : (greater(A, B) | (A = B) | (~greater_or_equal(A, B)))),
% 0.22/0.43      inference(modus_ponens,[status(thm)],[105, 98])).
% 0.22/0.43  tff(107,plain,
% 0.22/0.43      (((~![B: $i, A: $i] : (greater(A, B) | (A = B) | (~greater_or_equal(A, B)))) | ((critical_point(sk1(sk3)) = appear(efficient_producers, sk1(sk3))) | greater(critical_point(sk1(sk3)), appear(efficient_producers, sk1(sk3))) | (~greater_or_equal(critical_point(sk1(sk3)), appear(efficient_producers, sk1(sk3)))))) <=> ((~![B: $i, A: $i] : (greater(A, B) | (A = B) | (~greater_or_equal(A, B)))) | (critical_point(sk1(sk3)) = appear(efficient_producers, sk1(sk3))) | greater(critical_point(sk1(sk3)), appear(efficient_producers, sk1(sk3))) | (~greater_or_equal(critical_point(sk1(sk3)), appear(efficient_producers, sk1(sk3)))))),
% 0.22/0.43      inference(rewrite,[status(thm)],[])).
% 0.22/0.43  tff(108,plain,
% 0.22/0.43      ((greater(critical_point(sk1(sk3)), appear(efficient_producers, sk1(sk3))) | (critical_point(sk1(sk3)) = appear(efficient_producers, sk1(sk3))) | (~greater_or_equal(critical_point(sk1(sk3)), appear(efficient_producers, sk1(sk3))))) <=> ((critical_point(sk1(sk3)) = appear(efficient_producers, sk1(sk3))) | greater(critical_point(sk1(sk3)), appear(efficient_producers, sk1(sk3))) | (~greater_or_equal(critical_point(sk1(sk3)), appear(efficient_producers, sk1(sk3)))))),
% 0.22/0.43      inference(rewrite,[status(thm)],[])).
% 0.22/0.43  tff(109,plain,
% 0.22/0.43      (((~![B: $i, A: $i] : (greater(A, B) | (A = B) | (~greater_or_equal(A, B)))) | (greater(critical_point(sk1(sk3)), appear(efficient_producers, sk1(sk3))) | (critical_point(sk1(sk3)) = appear(efficient_producers, sk1(sk3))) | (~greater_or_equal(critical_point(sk1(sk3)), appear(efficient_producers, sk1(sk3)))))) <=> ((~![B: $i, A: $i] : (greater(A, B) | (A = B) | (~greater_or_equal(A, B)))) | ((critical_point(sk1(sk3)) = appear(efficient_producers, sk1(sk3))) | greater(critical_point(sk1(sk3)), appear(efficient_producers, sk1(sk3))) | (~greater_or_equal(critical_point(sk1(sk3)), appear(efficient_producers, sk1(sk3))))))),
% 0.22/0.43      inference(monotonicity,[status(thm)],[108])).
% 0.22/0.43  tff(110,plain,
% 0.22/0.43      (((~![B: $i, A: $i] : (greater(A, B) | (A = B) | (~greater_or_equal(A, B)))) | (greater(critical_point(sk1(sk3)), appear(efficient_producers, sk1(sk3))) | (critical_point(sk1(sk3)) = appear(efficient_producers, sk1(sk3))) | (~greater_or_equal(critical_point(sk1(sk3)), appear(efficient_producers, sk1(sk3)))))) <=> ((~![B: $i, A: $i] : (greater(A, B) | (A = B) | (~greater_or_equal(A, B)))) | (critical_point(sk1(sk3)) = appear(efficient_producers, sk1(sk3))) | greater(critical_point(sk1(sk3)), appear(efficient_producers, sk1(sk3))) | (~greater_or_equal(critical_point(sk1(sk3)), appear(efficient_producers, sk1(sk3)))))),
% 0.22/0.43      inference(transitivity,[status(thm)],[109, 107])).
% 0.22/0.43  tff(111,plain,
% 0.22/0.43      ((~![B: $i, A: $i] : (greater(A, B) | (A = B) | (~greater_or_equal(A, B)))) | (greater(critical_point(sk1(sk3)), appear(efficient_producers, sk1(sk3))) | (critical_point(sk1(sk3)) = appear(efficient_producers, sk1(sk3))) | (~greater_or_equal(critical_point(sk1(sk3)), appear(efficient_producers, sk1(sk3)))))),
% 0.22/0.43      inference(quant_inst,[status(thm)],[])).
% 0.22/0.43  tff(112,plain,
% 0.22/0.43      ((~![B: $i, A: $i] : (greater(A, B) | (A = B) | (~greater_or_equal(A, B)))) | (critical_point(sk1(sk3)) = appear(efficient_producers, sk1(sk3))) | greater(critical_point(sk1(sk3)), appear(efficient_producers, sk1(sk3))) | (~greater_or_equal(critical_point(sk1(sk3)), appear(efficient_producers, sk1(sk3))))),
% 0.22/0.43      inference(modus_ponens,[status(thm)],[111, 110])).
% 0.22/0.43  tff(113,plain,
% 0.22/0.43      ((critical_point(sk1(sk3)) = appear(efficient_producers, sk1(sk3))) | greater(critical_point(sk1(sk3)), appear(efficient_producers, sk1(sk3)))),
% 0.22/0.43      inference(unit_resolution,[status(thm)],[112, 106, 96])).
% 0.22/0.43  tff(114,plain,
% 0.22/0.43      (greater(critical_point(sk1(sk3)), appear(efficient_producers, sk1(sk3)))),
% 0.22/0.43      inference(unit_resolution,[status(thm)],[113, 85])).
% 0.22/0.43  tff(115,plain,
% 0.22/0.43      (![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B))) <=> ![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))),
% 0.22/0.43      inference(rewrite,[status(thm)],[])).
% 0.22/0.43  tff(116,plain,
% 0.22/0.43      (![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B))) <=> ![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))),
% 0.22/0.43      inference(rewrite,[status(thm)],[])).
% 0.22/0.43  tff(117,plain,
% 0.22/0.43      (^[B: $i, A: $i, C: $i] : rewrite((((~greater(A, B)) | (~greater(B, C))) | greater(A, C)) <=> (greater(A, C) | (~greater(B, C)) | (~greater(A, B))))),
% 0.22/0.43      inference(bind,[status(th)],[])).
% 0.22/0.43  tff(118,plain,
% 0.22/0.43      (![B: $i, A: $i, C: $i] : (((~greater(A, B)) | (~greater(B, C))) | greater(A, C)) <=> ![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))),
% 0.22/0.43      inference(quant_intro,[status(thm)],[117])).
% 0.22/0.43  tff(119,axiom,(![B: $i, A: $i, C: $i] : (((~greater(A, B)) | (~greater(B, C))) | greater(A, C))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','mp_greater_transitivity_50')).
% 0.22/0.43  tff(120,plain,
% 0.22/0.43      (![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))),
% 0.22/0.43      inference(modus_ponens,[status(thm)],[119, 118])).
% 0.22/0.44  tff(121,plain,
% 0.22/0.44      (![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))),
% 0.22/0.44      inference(modus_ponens,[status(thm)],[120, 116])).
% 0.22/0.44  tff(122,plain,(
% 0.22/0.44      ![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))),
% 0.22/0.44      inference(skolemize,[status(sab)],[121])).
% 0.22/0.44  tff(123,plain,
% 0.22/0.44      (![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))),
% 0.22/0.44      inference(modus_ponens,[status(thm)],[122, 115])).
% 0.22/0.44  tff(124,plain,
% 0.22/0.44      (((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | ((~greater(sk2(sk1(sk3), sk3), critical_point(sk1(sk3)))) | greater(sk2(sk1(sk3), sk3), appear(efficient_producers, sk1(sk3))) | (~greater(critical_point(sk1(sk3)), appear(efficient_producers, sk1(sk3)))))) <=> ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (~greater(sk2(sk1(sk3), sk3), critical_point(sk1(sk3)))) | greater(sk2(sk1(sk3), sk3), appear(efficient_producers, sk1(sk3))) | (~greater(critical_point(sk1(sk3)), appear(efficient_producers, sk1(sk3)))))),
% 0.22/0.44      inference(rewrite,[status(thm)],[])).
% 0.22/0.44  tff(125,plain,
% 0.22/0.44      ((greater(sk2(sk1(sk3), sk3), appear(efficient_producers, sk1(sk3))) | (~greater(critical_point(sk1(sk3)), appear(efficient_producers, sk1(sk3)))) | (~greater(sk2(sk1(sk3), sk3), critical_point(sk1(sk3))))) <=> ((~greater(sk2(sk1(sk3), sk3), critical_point(sk1(sk3)))) | greater(sk2(sk1(sk3), sk3), appear(efficient_producers, sk1(sk3))) | (~greater(critical_point(sk1(sk3)), appear(efficient_producers, sk1(sk3)))))),
% 0.22/0.44      inference(rewrite,[status(thm)],[])).
% 0.22/0.44  tff(126,plain,
% 0.22/0.44      (((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(sk2(sk1(sk3), sk3), appear(efficient_producers, sk1(sk3))) | (~greater(critical_point(sk1(sk3)), appear(efficient_producers, sk1(sk3)))) | (~greater(sk2(sk1(sk3), sk3), critical_point(sk1(sk3)))))) <=> ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | ((~greater(sk2(sk1(sk3), sk3), critical_point(sk1(sk3)))) | greater(sk2(sk1(sk3), sk3), appear(efficient_producers, sk1(sk3))) | (~greater(critical_point(sk1(sk3)), appear(efficient_producers, sk1(sk3))))))),
% 0.22/0.44      inference(monotonicity,[status(thm)],[125])).
% 0.22/0.44  tff(127,plain,
% 0.22/0.44      (((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(sk2(sk1(sk3), sk3), appear(efficient_producers, sk1(sk3))) | (~greater(critical_point(sk1(sk3)), appear(efficient_producers, sk1(sk3)))) | (~greater(sk2(sk1(sk3), sk3), critical_point(sk1(sk3)))))) <=> ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (~greater(sk2(sk1(sk3), sk3), critical_point(sk1(sk3)))) | greater(sk2(sk1(sk3), sk3), appear(efficient_producers, sk1(sk3))) | (~greater(critical_point(sk1(sk3)), appear(efficient_producers, sk1(sk3)))))),
% 0.22/0.44      inference(transitivity,[status(thm)],[126, 124])).
% 0.22/0.44  tff(128,plain,
% 0.22/0.44      ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(sk2(sk1(sk3), sk3), appear(efficient_producers, sk1(sk3))) | (~greater(critical_point(sk1(sk3)), appear(efficient_producers, sk1(sk3)))) | (~greater(sk2(sk1(sk3), sk3), critical_point(sk1(sk3)))))),
% 0.22/0.44      inference(quant_inst,[status(thm)],[])).
% 0.22/0.44  tff(129,plain,
% 0.22/0.44      ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (~greater(sk2(sk1(sk3), sk3), critical_point(sk1(sk3)))) | greater(sk2(sk1(sk3), sk3), appear(efficient_producers, sk1(sk3))) | (~greater(critical_point(sk1(sk3)), appear(efficient_producers, sk1(sk3))))),
% 0.22/0.44      inference(modus_ponens,[status(thm)],[128, 127])).
% 0.22/0.44  tff(130,plain,
% 0.22/0.44      ($false),
% 0.22/0.44      inference(unit_resolution,[status(thm)],[129, 123, 77, 114, 13])).
% 0.22/0.44  tff(131,plain,(greater_or_equal(sk2(sk1(sk3), sk3), appear(efficient_producers, sk1(sk3)))), inference(lemma,lemma(discharge,[]))).
% 0.22/0.44  tff(132,plain,
% 0.22/0.44      (((~![B: $i, A: $i] : (greater(A, B) | (A = B) | (~greater_or_equal(A, B)))) | ((~greater_or_equal(sk2(sk1(sk3), sk3), appear(efficient_producers, sk1(sk3)))) | (sk2(sk1(sk3), sk3) = appear(efficient_producers, sk1(sk3))) | greater(sk2(sk1(sk3), sk3), appear(efficient_producers, sk1(sk3))))) <=> ((~![B: $i, A: $i] : (greater(A, B) | (A = B) | (~greater_or_equal(A, B)))) | (~greater_or_equal(sk2(sk1(sk3), sk3), appear(efficient_producers, sk1(sk3)))) | (sk2(sk1(sk3), sk3) = appear(efficient_producers, sk1(sk3))) | greater(sk2(sk1(sk3), sk3), appear(efficient_producers, sk1(sk3))))),
% 0.22/0.44      inference(rewrite,[status(thm)],[])).
% 0.22/0.44  tff(133,plain,
% 0.22/0.44      ((greater(sk2(sk1(sk3), sk3), appear(efficient_producers, sk1(sk3))) | (sk2(sk1(sk3), sk3) = appear(efficient_producers, sk1(sk3))) | (~greater_or_equal(sk2(sk1(sk3), sk3), appear(efficient_producers, sk1(sk3))))) <=> ((~greater_or_equal(sk2(sk1(sk3), sk3), appear(efficient_producers, sk1(sk3)))) | (sk2(sk1(sk3), sk3) = appear(efficient_producers, sk1(sk3))) | greater(sk2(sk1(sk3), sk3), appear(efficient_producers, sk1(sk3))))),
% 0.22/0.44      inference(rewrite,[status(thm)],[])).
% 0.22/0.44  tff(134,plain,
% 0.22/0.44      (((~![B: $i, A: $i] : (greater(A, B) | (A = B) | (~greater_or_equal(A, B)))) | (greater(sk2(sk1(sk3), sk3), appear(efficient_producers, sk1(sk3))) | (sk2(sk1(sk3), sk3) = appear(efficient_producers, sk1(sk3))) | (~greater_or_equal(sk2(sk1(sk3), sk3), appear(efficient_producers, sk1(sk3)))))) <=> ((~![B: $i, A: $i] : (greater(A, B) | (A = B) | (~greater_or_equal(A, B)))) | ((~greater_or_equal(sk2(sk1(sk3), sk3), appear(efficient_producers, sk1(sk3)))) | (sk2(sk1(sk3), sk3) = appear(efficient_producers, sk1(sk3))) | greater(sk2(sk1(sk3), sk3), appear(efficient_producers, sk1(sk3)))))),
% 0.22/0.44      inference(monotonicity,[status(thm)],[133])).
% 0.22/0.44  tff(135,plain,
% 0.22/0.44      (((~![B: $i, A: $i] : (greater(A, B) | (A = B) | (~greater_or_equal(A, B)))) | (greater(sk2(sk1(sk3), sk3), appear(efficient_producers, sk1(sk3))) | (sk2(sk1(sk3), sk3) = appear(efficient_producers, sk1(sk3))) | (~greater_or_equal(sk2(sk1(sk3), sk3), appear(efficient_producers, sk1(sk3)))))) <=> ((~![B: $i, A: $i] : (greater(A, B) | (A = B) | (~greater_or_equal(A, B)))) | (~greater_or_equal(sk2(sk1(sk3), sk3), appear(efficient_producers, sk1(sk3)))) | (sk2(sk1(sk3), sk3) = appear(efficient_producers, sk1(sk3))) | greater(sk2(sk1(sk3), sk3), appear(efficient_producers, sk1(sk3))))),
% 0.22/0.44      inference(transitivity,[status(thm)],[134, 132])).
% 0.22/0.44  tff(136,plain,
% 0.22/0.44      ((~![B: $i, A: $i] : (greater(A, B) | (A = B) | (~greater_or_equal(A, B)))) | (greater(sk2(sk1(sk3), sk3), appear(efficient_producers, sk1(sk3))) | (sk2(sk1(sk3), sk3) = appear(efficient_producers, sk1(sk3))) | (~greater_or_equal(sk2(sk1(sk3), sk3), appear(efficient_producers, sk1(sk3)))))),
% 0.22/0.44      inference(quant_inst,[status(thm)],[])).
% 0.22/0.44  tff(137,plain,
% 0.22/0.44      ((~![B: $i, A: $i] : (greater(A, B) | (A = B) | (~greater_or_equal(A, B)))) | (~greater_or_equal(sk2(sk1(sk3), sk3), appear(efficient_producers, sk1(sk3)))) | (sk2(sk1(sk3), sk3) = appear(efficient_producers, sk1(sk3))) | greater(sk2(sk1(sk3), sk3), appear(efficient_producers, sk1(sk3)))),
% 0.22/0.44      inference(modus_ponens,[status(thm)],[136, 135])).
% 0.22/0.44  tff(138,plain,
% 0.22/0.44      ((sk2(sk1(sk3), sk3) = appear(efficient_producers, sk1(sk3))) | greater(sk2(sk1(sk3), sk3), appear(efficient_producers, sk1(sk3)))),
% 0.22/0.44      inference(unit_resolution,[status(thm)],[137, 106, 131])).
% 0.22/0.44  tff(139,plain,
% 0.22/0.44      (sk2(sk1(sk3), sk3) = appear(efficient_producers, sk1(sk3))),
% 0.22/0.44      inference(unit_resolution,[status(thm)],[138, 1])).
% 0.22/0.44  tff(140,plain,
% 0.22/0.44      (appear(efficient_producers, sk1(sk3)) = sk2(sk1(sk3), sk3)),
% 0.22/0.44      inference(symmetry,[status(thm)],[139])).
% 0.22/0.44  tff(141,plain,
% 0.22/0.44      (greater(appear(efficient_producers, sk1(sk3)), appear(efficient_producers, sk1(sk3))) <=> greater(sk2(sk1(sk3), sk3), appear(efficient_producers, sk1(sk3)))),
% 0.22/0.44      inference(monotonicity,[status(thm)],[140])).
% 0.22/0.44  tff(142,plain,
% 0.22/0.44      (greater(sk2(sk1(sk3), sk3), appear(efficient_producers, sk1(sk3))) <=> greater(appear(efficient_producers, sk1(sk3)), appear(efficient_producers, sk1(sk3)))),
% 0.22/0.44      inference(symmetry,[status(thm)],[141])).
% 0.22/0.44  tff(143,plain,
% 0.22/0.44      ((~greater(sk2(sk1(sk3), sk3), appear(efficient_producers, sk1(sk3)))) <=> (~greater(appear(efficient_producers, sk1(sk3)), appear(efficient_producers, sk1(sk3))))),
% 0.22/0.44      inference(monotonicity,[status(thm)],[142])).
% 0.22/0.44  tff(144,plain,
% 0.22/0.44      (~greater(appear(efficient_producers, sk1(sk3)), appear(efficient_producers, sk1(sk3)))),
% 0.22/0.44      inference(modus_ponens,[status(thm)],[1, 143])).
% 0.22/0.44  tff(145,plain,
% 0.22/0.44      (greater(appear(efficient_producers, sk1(sk3)), critical_point(sk1(sk3))) <=> greater(sk2(sk1(sk3), sk3), critical_point(sk1(sk3)))),
% 0.22/0.44      inference(monotonicity,[status(thm)],[140])).
% 0.22/0.44  tff(146,plain,
% 0.22/0.44      (greater(sk2(sk1(sk3), sk3), critical_point(sk1(sk3))) <=> greater(appear(efficient_producers, sk1(sk3)), critical_point(sk1(sk3)))),
% 0.22/0.44      inference(symmetry,[status(thm)],[145])).
% 0.22/0.44  tff(147,plain,
% 0.22/0.44      (greater(appear(efficient_producers, sk1(sk3)), critical_point(sk1(sk3)))),
% 0.22/0.44      inference(modus_ponens,[status(thm)],[77, 146])).
% 0.22/0.44  tff(148,plain,
% 0.22/0.44      (greater(sk2(sk1(sk3), sk3), appear(efficient_producers, sk1(sk3))) <=> greater(sk2(sk1(sk3), sk3), critical_point(sk1(sk3)))),
% 0.22/0.44      inference(monotonicity,[status(thm)],[15])).
% 0.22/0.44  tff(149,plain,
% 0.22/0.44      (greater(sk2(sk1(sk3), sk3), critical_point(sk1(sk3))) <=> greater(sk2(sk1(sk3), sk3), appear(efficient_producers, sk1(sk3)))),
% 0.22/0.44      inference(symmetry,[status(thm)],[148])).
% 0.22/0.44  tff(150,plain,
% 0.22/0.44      (greater(sk2(sk1(sk3), sk3), appear(efficient_producers, sk1(sk3)))),
% 0.22/0.44      inference(modus_ponens,[status(thm)],[77, 149])).
% 0.22/0.44  tff(151,plain,
% 0.22/0.44      ($false),
% 0.22/0.44      inference(unit_resolution,[status(thm)],[1, 150])).
% 0.22/0.44  tff(152,plain,((~(critical_point(sk1(sk3)) = appear(efficient_producers, sk1(sk3)))) | greater(sk2(sk1(sk3), sk3), appear(efficient_producers, sk1(sk3)))), inference(lemma,lemma(discharge,[]))).
% 0.22/0.44  tff(153,plain,
% 0.22/0.44      (~(critical_point(sk1(sk3)) = appear(efficient_producers, sk1(sk3)))),
% 0.22/0.44      inference(unit_resolution,[status(thm)],[152, 1])).
% 0.22/0.44  tff(154,plain,
% 0.22/0.44      (greater(critical_point(sk1(sk3)), appear(efficient_producers, sk1(sk3)))),
% 0.22/0.44      inference(unit_resolution,[status(thm)],[113, 153])).
% 0.22/0.44  tff(155,plain,
% 0.22/0.44      (((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | ((~greater(critical_point(sk1(sk3)), appear(efficient_producers, sk1(sk3)))) | (~greater(appear(efficient_producers, sk1(sk3)), critical_point(sk1(sk3)))) | greater(appear(efficient_producers, sk1(sk3)), appear(efficient_producers, sk1(sk3))))) <=> ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (~greater(critical_point(sk1(sk3)), appear(efficient_producers, sk1(sk3)))) | (~greater(appear(efficient_producers, sk1(sk3)), critical_point(sk1(sk3)))) | greater(appear(efficient_producers, sk1(sk3)), appear(efficient_producers, sk1(sk3))))),
% 0.22/0.44      inference(rewrite,[status(thm)],[])).
% 0.22/0.44  tff(156,plain,
% 0.22/0.44      ((greater(appear(efficient_producers, sk1(sk3)), appear(efficient_producers, sk1(sk3))) | (~greater(critical_point(sk1(sk3)), appear(efficient_producers, sk1(sk3)))) | (~greater(appear(efficient_producers, sk1(sk3)), critical_point(sk1(sk3))))) <=> ((~greater(critical_point(sk1(sk3)), appear(efficient_producers, sk1(sk3)))) | (~greater(appear(efficient_producers, sk1(sk3)), critical_point(sk1(sk3)))) | greater(appear(efficient_producers, sk1(sk3)), appear(efficient_producers, sk1(sk3))))),
% 0.22/0.44      inference(rewrite,[status(thm)],[])).
% 0.22/0.44  tff(157,plain,
% 0.22/0.44      (((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(appear(efficient_producers, sk1(sk3)), appear(efficient_producers, sk1(sk3))) | (~greater(critical_point(sk1(sk3)), appear(efficient_producers, sk1(sk3)))) | (~greater(appear(efficient_producers, sk1(sk3)), critical_point(sk1(sk3)))))) <=> ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | ((~greater(critical_point(sk1(sk3)), appear(efficient_producers, sk1(sk3)))) | (~greater(appear(efficient_producers, sk1(sk3)), critical_point(sk1(sk3)))) | greater(appear(efficient_producers, sk1(sk3)), appear(efficient_producers, sk1(sk3)))))),
% 0.22/0.44      inference(monotonicity,[status(thm)],[156])).
% 0.22/0.44  tff(158,plain,
% 0.22/0.44      (((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(appear(efficient_producers, sk1(sk3)), appear(efficient_producers, sk1(sk3))) | (~greater(critical_point(sk1(sk3)), appear(efficient_producers, sk1(sk3)))) | (~greater(appear(efficient_producers, sk1(sk3)), critical_point(sk1(sk3)))))) <=> ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (~greater(critical_point(sk1(sk3)), appear(efficient_producers, sk1(sk3)))) | (~greater(appear(efficient_producers, sk1(sk3)), critical_point(sk1(sk3)))) | greater(appear(efficient_producers, sk1(sk3)), appear(efficient_producers, sk1(sk3))))),
% 0.22/0.44      inference(transitivity,[status(thm)],[157, 155])).
% 0.22/0.44  tff(159,plain,
% 0.22/0.44      ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(appear(efficient_producers, sk1(sk3)), appear(efficient_producers, sk1(sk3))) | (~greater(critical_point(sk1(sk3)), appear(efficient_producers, sk1(sk3)))) | (~greater(appear(efficient_producers, sk1(sk3)), critical_point(sk1(sk3)))))),
% 0.22/0.44      inference(quant_inst,[status(thm)],[])).
% 0.22/0.44  tff(160,plain,
% 0.22/0.44      ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (~greater(critical_point(sk1(sk3)), appear(efficient_producers, sk1(sk3)))) | (~greater(appear(efficient_producers, sk1(sk3)), critical_point(sk1(sk3)))) | greater(appear(efficient_producers, sk1(sk3)), appear(efficient_producers, sk1(sk3)))),
% 0.22/0.44      inference(modus_ponens,[status(thm)],[159, 158])).
% 0.22/0.44  tff(161,plain,
% 0.22/0.44      (greater(appear(efficient_producers, sk1(sk3)), appear(efficient_producers, sk1(sk3)))),
% 0.22/0.44      inference(unit_resolution,[status(thm)],[160, 123, 154, 147])).
% 0.22/0.44  tff(162,plain,
% 0.22/0.44      ($false),
% 0.22/0.44      inference(unit_resolution,[status(thm)],[161, 144])).
% 0.22/0.44  tff(163,plain,(greater(sk2(sk1(sk3), sk3), appear(efficient_producers, sk1(sk3)))), inference(lemma,lemma(discharge,[]))).
% 0.22/0.44  tff(164,assumption,(greater(end_time(sk1(sk3)), sk2(sk1(sk3), sk3))), introduced(assumption)).
% 0.22/0.44  tff(165,plain,
% 0.22/0.44      (((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | ((~greater(sk2(sk1(sk3), sk3), critical_point(sk1(sk3)))) | greater(end_time(sk1(sk3)), critical_point(sk1(sk3))) | (~greater(end_time(sk1(sk3)), sk2(sk1(sk3), sk3))))) <=> ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (~greater(sk2(sk1(sk3), sk3), critical_point(sk1(sk3)))) | greater(end_time(sk1(sk3)), critical_point(sk1(sk3))) | (~greater(end_time(sk1(sk3)), sk2(sk1(sk3), sk3))))),
% 0.22/0.44      inference(rewrite,[status(thm)],[])).
% 0.22/0.44  tff(166,plain,
% 0.22/0.44      ((greater(end_time(sk1(sk3)), critical_point(sk1(sk3))) | (~greater(sk2(sk1(sk3), sk3), critical_point(sk1(sk3)))) | (~greater(end_time(sk1(sk3)), sk2(sk1(sk3), sk3)))) <=> ((~greater(sk2(sk1(sk3), sk3), critical_point(sk1(sk3)))) | greater(end_time(sk1(sk3)), critical_point(sk1(sk3))) | (~greater(end_time(sk1(sk3)), sk2(sk1(sk3), sk3))))),
% 0.22/0.44      inference(rewrite,[status(thm)],[])).
% 0.22/0.44  tff(167,plain,
% 0.22/0.44      (((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(end_time(sk1(sk3)), critical_point(sk1(sk3))) | (~greater(sk2(sk1(sk3), sk3), critical_point(sk1(sk3)))) | (~greater(end_time(sk1(sk3)), sk2(sk1(sk3), sk3))))) <=> ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | ((~greater(sk2(sk1(sk3), sk3), critical_point(sk1(sk3)))) | greater(end_time(sk1(sk3)), critical_point(sk1(sk3))) | (~greater(end_time(sk1(sk3)), sk2(sk1(sk3), sk3)))))),
% 0.22/0.45      inference(monotonicity,[status(thm)],[166])).
% 0.22/0.45  tff(168,plain,
% 0.22/0.45      (((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(end_time(sk1(sk3)), critical_point(sk1(sk3))) | (~greater(sk2(sk1(sk3), sk3), critical_point(sk1(sk3)))) | (~greater(end_time(sk1(sk3)), sk2(sk1(sk3), sk3))))) <=> ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (~greater(sk2(sk1(sk3), sk3), critical_point(sk1(sk3)))) | greater(end_time(sk1(sk3)), critical_point(sk1(sk3))) | (~greater(end_time(sk1(sk3)), sk2(sk1(sk3), sk3))))),
% 0.22/0.45      inference(transitivity,[status(thm)],[167, 165])).
% 0.22/0.45  tff(169,plain,
% 0.22/0.45      ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(end_time(sk1(sk3)), critical_point(sk1(sk3))) | (~greater(sk2(sk1(sk3), sk3), critical_point(sk1(sk3)))) | (~greater(end_time(sk1(sk3)), sk2(sk1(sk3), sk3))))),
% 0.22/0.45      inference(quant_inst,[status(thm)],[])).
% 0.22/0.45  tff(170,plain,
% 0.22/0.45      ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (~greater(sk2(sk1(sk3), sk3), critical_point(sk1(sk3)))) | greater(end_time(sk1(sk3)), critical_point(sk1(sk3))) | (~greater(end_time(sk1(sk3)), sk2(sk1(sk3), sk3)))),
% 0.22/0.45      inference(modus_ponens,[status(thm)],[169, 168])).
% 0.22/0.45  tff(171,plain,
% 0.22/0.45      (greater(end_time(sk1(sk3)), critical_point(sk1(sk3)))),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[170, 123, 77, 164])).
% 0.22/0.45  tff(172,assumption,(greater(sk2(sk1(sk3), sk3), appear(efficient_producers, sk1(sk3)))), introduced(assumption)).
% 0.22/0.45  tff(173,plain,
% 0.22/0.45      (((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | ((~greater(sk2(sk1(sk3), sk3), appear(efficient_producers, sk1(sk3)))) | (~greater(end_time(sk1(sk3)), sk2(sk1(sk3), sk3))) | greater(end_time(sk1(sk3)), appear(efficient_producers, sk1(sk3))))) <=> ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (~greater(sk2(sk1(sk3), sk3), appear(efficient_producers, sk1(sk3)))) | (~greater(end_time(sk1(sk3)), sk2(sk1(sk3), sk3))) | greater(end_time(sk1(sk3)), appear(efficient_producers, sk1(sk3))))),
% 0.22/0.45      inference(rewrite,[status(thm)],[])).
% 0.22/0.45  tff(174,plain,
% 0.22/0.45      ((greater(end_time(sk1(sk3)), appear(efficient_producers, sk1(sk3))) | (~greater(sk2(sk1(sk3), sk3), appear(efficient_producers, sk1(sk3)))) | (~greater(end_time(sk1(sk3)), sk2(sk1(sk3), sk3)))) <=> ((~greater(sk2(sk1(sk3), sk3), appear(efficient_producers, sk1(sk3)))) | (~greater(end_time(sk1(sk3)), sk2(sk1(sk3), sk3))) | greater(end_time(sk1(sk3)), appear(efficient_producers, sk1(sk3))))),
% 0.22/0.45      inference(rewrite,[status(thm)],[])).
% 0.22/0.45  tff(175,plain,
% 0.22/0.45      (((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(end_time(sk1(sk3)), appear(efficient_producers, sk1(sk3))) | (~greater(sk2(sk1(sk3), sk3), appear(efficient_producers, sk1(sk3)))) | (~greater(end_time(sk1(sk3)), sk2(sk1(sk3), sk3))))) <=> ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | ((~greater(sk2(sk1(sk3), sk3), appear(efficient_producers, sk1(sk3)))) | (~greater(end_time(sk1(sk3)), sk2(sk1(sk3), sk3))) | greater(end_time(sk1(sk3)), appear(efficient_producers, sk1(sk3)))))),
% 0.22/0.45      inference(monotonicity,[status(thm)],[174])).
% 0.22/0.45  tff(176,plain,
% 0.22/0.45      (((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(end_time(sk1(sk3)), appear(efficient_producers, sk1(sk3))) | (~greater(sk2(sk1(sk3), sk3), appear(efficient_producers, sk1(sk3)))) | (~greater(end_time(sk1(sk3)), sk2(sk1(sk3), sk3))))) <=> ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (~greater(sk2(sk1(sk3), sk3), appear(efficient_producers, sk1(sk3)))) | (~greater(end_time(sk1(sk3)), sk2(sk1(sk3), sk3))) | greater(end_time(sk1(sk3)), appear(efficient_producers, sk1(sk3))))),
% 0.22/0.45      inference(transitivity,[status(thm)],[175, 173])).
% 0.22/0.45  tff(177,plain,
% 0.22/0.45      ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(end_time(sk1(sk3)), appear(efficient_producers, sk1(sk3))) | (~greater(sk2(sk1(sk3), sk3), appear(efficient_producers, sk1(sk3)))) | (~greater(end_time(sk1(sk3)), sk2(sk1(sk3), sk3))))),
% 0.22/0.45      inference(quant_inst,[status(thm)],[])).
% 0.22/0.45  tff(178,plain,
% 0.22/0.45      ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (~greater(sk2(sk1(sk3), sk3), appear(efficient_producers, sk1(sk3)))) | (~greater(end_time(sk1(sk3)), sk2(sk1(sk3), sk3))) | greater(end_time(sk1(sk3)), appear(efficient_producers, sk1(sk3)))),
% 0.22/0.45      inference(modus_ponens,[status(thm)],[177, 176])).
% 0.22/0.45  tff(179,plain,
% 0.22/0.45      (greater(end_time(sk1(sk3)), appear(efficient_producers, sk1(sk3)))),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[178, 123, 164, 172])).
% 0.22/0.45  tff(180,plain,
% 0.22/0.45      (((~![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))) | ((~greater(end_time(sk1(sk3)), appear(efficient_producers, sk1(sk3)))) | greater_or_equal(end_time(sk1(sk3)), appear(efficient_producers, sk1(sk3))))) <=> ((~![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))) | (~greater(end_time(sk1(sk3)), appear(efficient_producers, sk1(sk3)))) | greater_or_equal(end_time(sk1(sk3)), appear(efficient_producers, sk1(sk3))))),
% 0.22/0.45      inference(rewrite,[status(thm)],[])).
% 0.22/0.45  tff(181,plain,
% 0.22/0.45      ((~![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))) | ((~greater(end_time(sk1(sk3)), appear(efficient_producers, sk1(sk3)))) | greater_or_equal(end_time(sk1(sk3)), appear(efficient_producers, sk1(sk3))))),
% 0.22/0.45      inference(quant_inst,[status(thm)],[])).
% 0.22/0.45  tff(182,plain,
% 0.22/0.45      ((~![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))) | (~greater(end_time(sk1(sk3)), appear(efficient_producers, sk1(sk3)))) | greater_or_equal(end_time(sk1(sk3)), appear(efficient_producers, sk1(sk3)))),
% 0.22/0.45      inference(modus_ponens,[status(thm)],[181, 180])).
% 0.22/0.45  tff(183,plain,
% 0.22/0.45      (greater_or_equal(end_time(sk1(sk3)), appear(efficient_producers, sk1(sk3)))),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[182, 9, 179])).
% 0.22/0.45  tff(184,assumption,(critical_point(sk1(sk3)) = start_time(sk1(sk3))), introduced(assumption)).
% 0.22/0.45  tff(185,plain,
% 0.22/0.45      (start_time(sk1(sk3)) = critical_point(sk1(sk3))),
% 0.22/0.45      inference(symmetry,[status(thm)],[184])).
% 0.22/0.45  tff(186,plain,
% 0.22/0.45      (greater_or_equal(end_time(sk1(sk3)), start_time(sk1(sk3))) <=> greater_or_equal(end_time(sk1(sk3)), critical_point(sk1(sk3)))),
% 0.22/0.45      inference(monotonicity,[status(thm)],[185])).
% 0.22/0.45  tff(187,plain,
% 0.22/0.45      (greater_or_equal(end_time(sk1(sk3)), critical_point(sk1(sk3))) <=> greater_or_equal(end_time(sk1(sk3)), start_time(sk1(sk3)))),
% 0.22/0.45      inference(symmetry,[status(thm)],[186])).
% 0.22/0.45  tff(188,assumption,(~greater_or_equal(end_time(sk1(sk3)), critical_point(sk1(sk3)))), introduced(assumption)).
% 0.22/0.45  tff(189,plain,
% 0.22/0.45      (((~![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))) | ((~greater(end_time(sk1(sk3)), critical_point(sk1(sk3)))) | greater_or_equal(end_time(sk1(sk3)), critical_point(sk1(sk3))))) <=> ((~![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))) | (~greater(end_time(sk1(sk3)), critical_point(sk1(sk3)))) | greater_or_equal(end_time(sk1(sk3)), critical_point(sk1(sk3))))),
% 0.22/0.45      inference(rewrite,[status(thm)],[])).
% 0.22/0.45  tff(190,plain,
% 0.22/0.45      ((~![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))) | ((~greater(end_time(sk1(sk3)), critical_point(sk1(sk3)))) | greater_or_equal(end_time(sk1(sk3)), critical_point(sk1(sk3))))),
% 0.22/0.45      inference(quant_inst,[status(thm)],[])).
% 0.22/0.45  tff(191,plain,
% 0.22/0.45      ((~![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))) | (~greater(end_time(sk1(sk3)), critical_point(sk1(sk3)))) | greater_or_equal(end_time(sk1(sk3)), critical_point(sk1(sk3)))),
% 0.22/0.45      inference(modus_ponens,[status(thm)],[190, 189])).
% 0.22/0.45  tff(192,plain,
% 0.22/0.45      (~greater(end_time(sk1(sk3)), critical_point(sk1(sk3)))),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[191, 9, 188])).
% 0.22/0.45  tff(193,assumption,(end_time(sk1(sk3)) = sk2(sk1(sk3), sk3)), introduced(assumption)).
% 0.22/0.45  tff(194,plain,
% 0.22/0.45      (greater_or_equal(end_time(sk1(sk3)), critical_point(sk1(sk3))) <=> greater_or_equal(sk2(sk1(sk3), sk3), critical_point(sk1(sk3)))),
% 0.22/0.45      inference(monotonicity,[status(thm)],[193])).
% 0.22/0.45  tff(195,plain,
% 0.22/0.45      (greater_or_equal(sk2(sk1(sk3), sk3), critical_point(sk1(sk3))) <=> greater_or_equal(end_time(sk1(sk3)), critical_point(sk1(sk3)))),
% 0.22/0.45      inference(symmetry,[status(thm)],[194])).
% 0.22/0.45  tff(196,plain,
% 0.22/0.45      (greater_or_equal(end_time(sk1(sk3)), critical_point(sk1(sk3)))),
% 0.22/0.45      inference(modus_ponens,[status(thm)],[81, 195])).
% 0.22/0.45  tff(197,plain,
% 0.22/0.45      ($false),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[188, 196])).
% 0.22/0.45  tff(198,plain,((~(end_time(sk1(sk3)) = sk2(sk1(sk3), sk3))) | greater_or_equal(end_time(sk1(sk3)), critical_point(sk1(sk3)))), inference(lemma,lemma(discharge,[]))).
% 0.22/0.45  tff(199,plain,
% 0.22/0.45      (~(end_time(sk1(sk3)) = sk2(sk1(sk3), sk3))),
% 0.22/0.45      inference(unit_resolution,[status(thm)],[198, 188])).
% 0.22/0.45  tff(200,plain,
% 0.22/0.45      (^[B: $i, A: $i] : refl(((~environment(B)) | (~observational_period(A)) | in_environment(B, sk2(B, A)) | (~in_environment(A, B)) | (~slow_change(A))) <=> ((~environment(B)) | (~observational_period(A)) | in_environment(B, sk2(B, A)) | (~in_environment(A, B)) | (~slow_change(A))))),
% 0.22/0.45      inference(bind,[status(th)],[])).
% 0.22/0.45  tff(201,plain,
% 0.22/0.45      (![B: $i, A: $i] : ((~environment(B)) | (~observational_period(A)) | in_environment(B, sk2(B, A)) | (~in_environment(A, B)) | (~slow_change(A))) <=> ![B: $i, A: $i] : ((~environment(B)) | (~observational_period(A)) | in_environment(B, sk2(B, A)) | (~in_environment(A, B)) | (~slow_change(A)))),
% 0.22/0.45      inference(quant_intro,[status(thm)],[200])).
% 0.22/0.45  tff(202,plain,
% 0.22/0.45      (![B: $i, A: $i] : ((~environment(B)) | (~observational_period(A)) | in_environment(B, sk2(B, A)) | (~in_environment(A, B)) | (~slow_change(A))) <=> ![B: $i, A: $i] : ((~environment(B)) | (~observational_period(A)) | in_environment(B, sk2(B, A)) | (~in_environment(A, B)) | (~slow_change(A)))),
% 0.22/0.45      inference(rewrite,[status(thm)],[])).
% 0.22/0.45  tff(203,plain,
% 0.22/0.45      (^[B: $i, A: $i] : trans(monotonicity(trans(monotonicity(rewrite((((~observational_period(A)) | (~slow_change(A))) | (~environment(B))) <=> ((~environment(B)) | (~observational_period(A)) | (~slow_change(A)))), (((((~observational_period(A)) | (~slow_change(A))) | (~environment(B))) | (~in_environment(A, B))) <=> (((~environment(B)) | (~observational_period(A)) | (~slow_change(A))) | (~in_environment(A, B))))), rewrite((((~environment(B)) | (~observational_period(A)) | (~slow_change(A))) | (~in_environment(A, B))) <=> ((~environment(B)) | (~observational_period(A)) | (~in_environment(A, B)) | (~slow_change(A)))), (((((~observational_period(A)) | (~slow_change(A))) | (~environment(B))) | (~in_environment(A, B))) <=> ((~environment(B)) | (~observational_period(A)) | (~in_environment(A, B)) | (~slow_change(A))))), ((((((~observational_period(A)) | (~slow_change(A))) | (~environment(B))) | (~in_environment(A, B))) | in_environment(B, sk2(B, A))) <=> (((~environment(B)) | (~observational_period(A)) | (~in_environment(A, B)) | (~slow_change(A))) | in_environment(B, sk2(B, A))))), rewrite((((~environment(B)) | (~observational_period(A)) | (~in_environment(A, B)) | (~slow_change(A))) | in_environment(B, sk2(B, A))) <=> ((~environment(B)) | (~observational_period(A)) | in_environment(B, sk2(B, A)) | (~in_environment(A, B)) | (~slow_change(A)))), ((((((~observational_period(A)) | (~slow_change(A))) | (~environment(B))) | (~in_environment(A, B))) | in_environment(B, sk2(B, A))) <=> ((~environment(B)) | (~observational_period(A)) | in_environment(B, sk2(B, A)) | (~in_environment(A, B)) | (~slow_change(A)))))),
% 0.22/0.45      inference(bind,[status(th)],[])).
% 0.22/0.45  tff(204,plain,
% 0.22/0.45      (![B: $i, A: $i] : (((((~observational_period(A)) | (~slow_change(A))) | (~environment(B))) | (~in_environment(A, B))) | in_environment(B, sk2(B, A))) <=> ![B: $i, A: $i] : ((~environment(B)) | (~observational_period(A)) | in_environment(B, sk2(B, A)) | (~in_environment(A, B)) | (~slow_change(A)))),
% 0.22/0.45      inference(quant_intro,[status(thm)],[203])).
% 0.22/0.45  tff(205,axiom,(![B: $i, A: $i] : (((((~observational_period(A)) | (~slow_change(A))) | (~environment(B))) | (~in_environment(A, B))) | in_environment(B, sk2(B, A)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','mp4_critical_point_38')).
% 0.22/0.45  tff(206,plain,
% 0.22/0.45      (![B: $i, A: $i] : ((~environment(B)) | (~observational_period(A)) | in_environment(B, sk2(B, A)) | (~in_environment(A, B)) | (~slow_change(A)))),
% 0.22/0.45      inference(modus_ponens,[status(thm)],[205, 204])).
% 0.22/0.45  tff(207,plain,
% 0.22/0.45      (![B: $i, A: $i] : ((~environment(B)) | (~observational_period(A)) | in_environment(B, sk2(B, A)) | (~in_environment(A, B)) | (~slow_change(A)))),
% 0.22/0.45      inference(modus_ponens,[status(thm)],[206, 202])).
% 0.22/0.45  tff(208,plain,(
% 0.22/0.45      ![B: $i, A: $i] : ((~environment(B)) | (~observational_period(A)) | in_environment(B, sk2(B, A)) | (~in_environment(A, B)) | (~slow_change(A)))),
% 0.22/0.45      inference(skolemize,[status(sab)],[207])).
% 0.22/0.45  tff(209,plain,
% 0.22/0.45      (![B: $i, A: $i] : ((~environment(B)) | (~observational_period(A)) | in_environment(B, sk2(B, A)) | (~in_environment(A, B)) | (~slow_change(A)))),
% 0.22/0.45      inference(modus_ponens,[status(thm)],[208, 201])).
% 0.22/0.45  tff(210,plain,
% 0.22/0.45      (((~![B: $i, A: $i] : ((~environment(B)) | (~observational_period(A)) | in_environment(B, sk2(B, A)) | (~in_environment(A, B)) | (~slow_change(A)))) | ((~observational_period(sk3)) | (~environment(sk1(sk3))) | (~in_environment(sk3, sk1(sk3))) | (~slow_change(sk3)) | in_environment(sk1(sk3), sk2(sk1(sk3), sk3)))) <=> ((~![B: $i, A: $i] : ((~environment(B)) | (~observational_period(A)) | in_environment(B, sk2(B, A)) | (~in_environment(A, B)) | (~slow_change(A)))) | (~observational_period(sk3)) | (~environment(sk1(sk3))) | (~in_environment(sk3, sk1(sk3))) | (~slow_change(sk3)) | in_environment(sk1(sk3), sk2(sk1(sk3), sk3)))),
% 0.22/0.45      inference(rewrite,[status(thm)],[])).
% 0.22/0.45  tff(211,plain,
% 0.22/0.45      (((~environment(sk1(sk3))) | (~observational_period(sk3)) | in_environment(sk1(sk3), sk2(sk1(sk3), sk3)) | (~in_environment(sk3, sk1(sk3))) | (~slow_change(sk3))) <=> ((~observational_period(sk3)) | (~environment(sk1(sk3))) | (~in_environment(sk3, sk1(sk3))) | (~slow_change(sk3)) | in_environment(sk1(sk3), sk2(sk1(sk3), sk3)))),
% 0.22/0.45      inference(rewrite,[status(thm)],[])).
% 0.22/0.45  tff(212,plain,
% 0.22/0.45      (((~![B: $i, A: $i] : ((~environment(B)) | (~observational_period(A)) | in_environment(B, sk2(B, A)) | (~in_environment(A, B)) | (~slow_change(A)))) | ((~environment(sk1(sk3))) | (~observational_period(sk3)) | in_environment(sk1(sk3), sk2(sk1(sk3), sk3)) | (~in_environment(sk3, sk1(sk3))) | (~slow_change(sk3)))) <=> ((~![B: $i, A: $i] : ((~environment(B)) | (~observational_period(A)) | in_environment(B, sk2(B, A)) | (~in_environment(A, B)) | (~slow_change(A)))) | ((~observational_period(sk3)) | (~environment(sk1(sk3))) | (~in_environment(sk3, sk1(sk3))) | (~slow_change(sk3)) | in_environment(sk1(sk3), sk2(sk1(sk3), sk3))))),
% 0.22/0.45      inference(monotonicity,[status(thm)],[211])).
% 0.22/0.45  tff(213,plain,
% 0.22/0.45      (((~![B: $i, A: $i] : ((~environment(B)) | (~observational_period(A)) | in_environment(B, sk2(B, A)) | (~in_environment(A, B)) | (~slow_change(A)))) | ((~environment(sk1(sk3))) | (~observational_period(sk3)) | in_environment(sk1(sk3), sk2(sk1(sk3), sk3)) | (~in_environment(sk3, sk1(sk3))) | (~slow_change(sk3)))) <=> ((~![B: $i, A: $i] : ((~environment(B)) | (~observational_period(A)) | in_environment(B, sk2(B, A)) | (~in_environment(A, B)) | (~slow_change(A)))) | (~observational_period(sk3)) | (~environment(sk1(sk3))) | (~in_environment(sk3, sk1(sk3))) | (~slow_change(sk3)) | in_environment(sk1(sk3), sk2(sk1(sk3), sk3)))),
% 0.22/0.45      inference(transitivity,[status(thm)],[212, 210])).
% 0.22/0.45  tff(214,plain,
% 0.22/0.45      ((~![B: $i, A: $i] : ((~environment(B)) | (~observational_period(A)) | in_environment(B, sk2(B, A)) | (~in_environment(A, B)) | (~slow_change(A)))) | ((~environment(sk1(sk3))) | (~observational_period(sk3)) | in_environment(sk1(sk3), sk2(sk1(sk3), sk3)) | (~in_environment(sk3, sk1(sk3))) | (~slow_change(sk3)))),
% 0.22/0.45      inference(quant_inst,[status(thm)],[])).
% 0.22/0.45  tff(215,plain,
% 0.22/0.45      ((~![B: $i, A: $i] : ((~environment(B)) | (~observational_period(A)) | in_environment(B, sk2(B, A)) | (~in_environment(A, B)) | (~slow_change(A)))) | (~observational_period(sk3)) | (~environment(sk1(sk3))) | (~in_environment(sk3, sk1(sk3))) | (~slow_change(sk3)) | in_environment(sk1(sk3), sk2(sk1(sk3), sk3))),
% 0.22/0.46      inference(modus_ponens,[status(thm)],[214, 213])).
% 0.22/0.46  tff(216,plain,
% 0.22/0.46      (in_environment(sk1(sk3), sk2(sk1(sk3), sk3))),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[215, 209, 23, 60, 57, 40])).
% 0.22/0.46  tff(217,plain,
% 0.22/0.46      (^[B: $i, A: $i] : refl((greater_or_equal(end_time(A), B) | (~in_environment(A, B)) | (~environment(A))) <=> (greater_or_equal(end_time(A), B) | (~in_environment(A, B)) | (~environment(A))))),
% 0.22/0.46      inference(bind,[status(th)],[])).
% 0.22/0.46  tff(218,plain,
% 0.22/0.46      (![B: $i, A: $i] : (greater_or_equal(end_time(A), B) | (~in_environment(A, B)) | (~environment(A))) <=> ![B: $i, A: $i] : (greater_or_equal(end_time(A), B) | (~in_environment(A, B)) | (~environment(A)))),
% 0.22/0.46      inference(quant_intro,[status(thm)],[217])).
% 0.22/0.46  tff(219,plain,
% 0.22/0.46      (![B: $i, A: $i] : (greater_or_equal(end_time(A), B) | (~in_environment(A, B)) | (~environment(A))) <=> ![B: $i, A: $i] : (greater_or_equal(end_time(A), B) | (~in_environment(A, B)) | (~environment(A)))),
% 0.22/0.46      inference(rewrite,[status(thm)],[])).
% 0.22/0.46  tff(220,plain,
% 0.22/0.46      (^[B: $i, A: $i] : rewrite((((~environment(A)) | (~in_environment(A, B))) | greater_or_equal(end_time(A), B)) <=> (greater_or_equal(end_time(A), B) | (~in_environment(A, B)) | (~environment(A))))),
% 0.22/0.46      inference(bind,[status(th)],[])).
% 0.22/0.46  tff(221,plain,
% 0.22/0.46      (![B: $i, A: $i] : (((~environment(A)) | (~in_environment(A, B))) | greater_or_equal(end_time(A), B)) <=> ![B: $i, A: $i] : (greater_or_equal(end_time(A), B) | (~in_environment(A, B)) | (~environment(A)))),
% 0.22/0.46      inference(quant_intro,[status(thm)],[220])).
% 0.22/0.46  tff(222,axiom,(![B: $i, A: $i] : (((~environment(A)) | (~in_environment(A, B))) | greater_or_equal(end_time(A), B))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','mp_environment_end_point_43')).
% 0.22/0.46  tff(223,plain,
% 0.22/0.46      (![B: $i, A: $i] : (greater_or_equal(end_time(A), B) | (~in_environment(A, B)) | (~environment(A)))),
% 0.22/0.46      inference(modus_ponens,[status(thm)],[222, 221])).
% 0.22/0.46  tff(224,plain,
% 0.22/0.46      (![B: $i, A: $i] : (greater_or_equal(end_time(A), B) | (~in_environment(A, B)) | (~environment(A)))),
% 0.22/0.46      inference(modus_ponens,[status(thm)],[223, 219])).
% 0.22/0.46  tff(225,plain,(
% 0.22/0.46      ![B: $i, A: $i] : (greater_or_equal(end_time(A), B) | (~in_environment(A, B)) | (~environment(A)))),
% 0.22/0.46      inference(skolemize,[status(sab)],[224])).
% 0.22/0.46  tff(226,plain,
% 0.22/0.46      (![B: $i, A: $i] : (greater_or_equal(end_time(A), B) | (~in_environment(A, B)) | (~environment(A)))),
% 0.22/0.46      inference(modus_ponens,[status(thm)],[225, 218])).
% 0.22/0.46  tff(227,plain,
% 0.22/0.46      (((~![B: $i, A: $i] : (greater_or_equal(end_time(A), B) | (~in_environment(A, B)) | (~environment(A)))) | ((~environment(sk1(sk3))) | (~in_environment(sk1(sk3), sk2(sk1(sk3), sk3))) | greater_or_equal(end_time(sk1(sk3)), sk2(sk1(sk3), sk3)))) <=> ((~![B: $i, A: $i] : (greater_or_equal(end_time(A), B) | (~in_environment(A, B)) | (~environment(A)))) | (~environment(sk1(sk3))) | (~in_environment(sk1(sk3), sk2(sk1(sk3), sk3))) | greater_or_equal(end_time(sk1(sk3)), sk2(sk1(sk3), sk3)))),
% 0.22/0.46      inference(rewrite,[status(thm)],[])).
% 0.22/0.46  tff(228,plain,
% 0.22/0.46      ((greater_or_equal(end_time(sk1(sk3)), sk2(sk1(sk3), sk3)) | (~in_environment(sk1(sk3), sk2(sk1(sk3), sk3))) | (~environment(sk1(sk3)))) <=> ((~environment(sk1(sk3))) | (~in_environment(sk1(sk3), sk2(sk1(sk3), sk3))) | greater_or_equal(end_time(sk1(sk3)), sk2(sk1(sk3), sk3)))),
% 0.22/0.46      inference(rewrite,[status(thm)],[])).
% 0.22/0.46  tff(229,plain,
% 0.22/0.46      (((~![B: $i, A: $i] : (greater_or_equal(end_time(A), B) | (~in_environment(A, B)) | (~environment(A)))) | (greater_or_equal(end_time(sk1(sk3)), sk2(sk1(sk3), sk3)) | (~in_environment(sk1(sk3), sk2(sk1(sk3), sk3))) | (~environment(sk1(sk3))))) <=> ((~![B: $i, A: $i] : (greater_or_equal(end_time(A), B) | (~in_environment(A, B)) | (~environment(A)))) | ((~environment(sk1(sk3))) | (~in_environment(sk1(sk3), sk2(sk1(sk3), sk3))) | greater_or_equal(end_time(sk1(sk3)), sk2(sk1(sk3), sk3))))),
% 0.22/0.46      inference(monotonicity,[status(thm)],[228])).
% 0.22/0.46  tff(230,plain,
% 0.22/0.46      (((~![B: $i, A: $i] : (greater_or_equal(end_time(A), B) | (~in_environment(A, B)) | (~environment(A)))) | (greater_or_equal(end_time(sk1(sk3)), sk2(sk1(sk3), sk3)) | (~in_environment(sk1(sk3), sk2(sk1(sk3), sk3))) | (~environment(sk1(sk3))))) <=> ((~![B: $i, A: $i] : (greater_or_equal(end_time(A), B) | (~in_environment(A, B)) | (~environment(A)))) | (~environment(sk1(sk3))) | (~in_environment(sk1(sk3), sk2(sk1(sk3), sk3))) | greater_or_equal(end_time(sk1(sk3)), sk2(sk1(sk3), sk3)))),
% 0.22/0.46      inference(transitivity,[status(thm)],[229, 227])).
% 0.22/0.46  tff(231,plain,
% 0.22/0.46      ((~![B: $i, A: $i] : (greater_or_equal(end_time(A), B) | (~in_environment(A, B)) | (~environment(A)))) | (greater_or_equal(end_time(sk1(sk3)), sk2(sk1(sk3), sk3)) | (~in_environment(sk1(sk3), sk2(sk1(sk3), sk3))) | (~environment(sk1(sk3))))),
% 0.22/0.46      inference(quant_inst,[status(thm)],[])).
% 0.22/0.46  tff(232,plain,
% 0.22/0.46      ((~![B: $i, A: $i] : (greater_or_equal(end_time(A), B) | (~in_environment(A, B)) | (~environment(A)))) | (~environment(sk1(sk3))) | (~in_environment(sk1(sk3), sk2(sk1(sk3), sk3))) | greater_or_equal(end_time(sk1(sk3)), sk2(sk1(sk3), sk3))),
% 0.22/0.46      inference(modus_ponens,[status(thm)],[231, 230])).
% 0.22/0.46  tff(233,plain,
% 0.22/0.46      (greater_or_equal(end_time(sk1(sk3)), sk2(sk1(sk3), sk3))),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[232, 226, 57, 216])).
% 0.22/0.46  tff(234,plain,
% 0.22/0.46      (((~![B: $i, A: $i] : (greater(A, B) | (A = B) | (~greater_or_equal(A, B)))) | (greater(end_time(sk1(sk3)), sk2(sk1(sk3), sk3)) | (end_time(sk1(sk3)) = sk2(sk1(sk3), sk3)) | (~greater_or_equal(end_time(sk1(sk3)), sk2(sk1(sk3), sk3))))) <=> ((~![B: $i, A: $i] : (greater(A, B) | (A = B) | (~greater_or_equal(A, B)))) | greater(end_time(sk1(sk3)), sk2(sk1(sk3), sk3)) | (end_time(sk1(sk3)) = sk2(sk1(sk3), sk3)) | (~greater_or_equal(end_time(sk1(sk3)), sk2(sk1(sk3), sk3))))),
% 0.22/0.46      inference(rewrite,[status(thm)],[])).
% 0.22/0.46  tff(235,plain,
% 0.22/0.46      ((~![B: $i, A: $i] : (greater(A, B) | (A = B) | (~greater_or_equal(A, B)))) | (greater(end_time(sk1(sk3)), sk2(sk1(sk3), sk3)) | (end_time(sk1(sk3)) = sk2(sk1(sk3), sk3)) | (~greater_or_equal(end_time(sk1(sk3)), sk2(sk1(sk3), sk3))))),
% 0.22/0.46      inference(quant_inst,[status(thm)],[])).
% 0.22/0.46  tff(236,plain,
% 0.22/0.46      ((~![B: $i, A: $i] : (greater(A, B) | (A = B) | (~greater_or_equal(A, B)))) | greater(end_time(sk1(sk3)), sk2(sk1(sk3), sk3)) | (end_time(sk1(sk3)) = sk2(sk1(sk3), sk3)) | (~greater_or_equal(end_time(sk1(sk3)), sk2(sk1(sk3), sk3)))),
% 0.22/0.46      inference(modus_ponens,[status(thm)],[235, 234])).
% 0.22/0.46  tff(237,plain,
% 0.22/0.46      (greater(end_time(sk1(sk3)), sk2(sk1(sk3), sk3)) | (end_time(sk1(sk3)) = sk2(sk1(sk3), sk3))),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[236, 106, 233])).
% 0.22/0.46  tff(238,plain,
% 0.22/0.46      (greater(end_time(sk1(sk3)), sk2(sk1(sk3), sk3))),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[237, 199])).
% 0.22/0.46  tff(239,plain,
% 0.22/0.46      ($false),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[170, 123, 77, 238, 192])).
% 0.22/0.46  tff(240,plain,(greater_or_equal(end_time(sk1(sk3)), critical_point(sk1(sk3)))), inference(lemma,lemma(discharge,[]))).
% 0.22/0.46  tff(241,plain,
% 0.22/0.46      (greater_or_equal(end_time(sk1(sk3)), start_time(sk1(sk3)))),
% 0.22/0.46      inference(modus_ponens,[status(thm)],[240, 187])).
% 0.22/0.46  tff(242,plain,
% 0.22/0.46      (greater(end_time(sk1(sk3)), start_time(sk1(sk3))) <=> greater(end_time(sk1(sk3)), critical_point(sk1(sk3)))),
% 0.22/0.46      inference(monotonicity,[status(thm)],[185])).
% 0.22/0.46  tff(243,plain,
% 0.22/0.46      (greater(end_time(sk1(sk3)), critical_point(sk1(sk3))) <=> greater(end_time(sk1(sk3)), start_time(sk1(sk3)))),
% 0.22/0.46      inference(symmetry,[status(thm)],[242])).
% 0.22/0.46  tff(244,assumption,(greater(end_time(sk1(sk3)), critical_point(sk1(sk3)))), introduced(assumption)).
% 0.22/0.46  tff(245,plain,
% 0.22/0.46      (greater(end_time(sk1(sk3)), start_time(sk1(sk3)))),
% 0.22/0.46      inference(modus_ponens,[status(thm)],[244, 243])).
% 0.22/0.46  tff(246,assumption,(greater(end_time(sk1(sk3)), start_time(sk1(sk3)))), introduced(assumption)).
% 0.22/0.46  tff(247,assumption,(~greater_or_equal(end_time(sk1(sk3)), end_time(sk1(sk3)))), introduced(assumption)).
% 0.22/0.46  tff(248,plain,
% 0.22/0.46      (^[B: $i, A: $i] : refl((greater_or_equal(end_time(A), B) | (~environment(A)) | greater(B, end_time(A)) | (~greater(B, start_time(A)))) <=> (greater_or_equal(end_time(A), B) | (~environment(A)) | greater(B, end_time(A)) | (~greater(B, start_time(A)))))),
% 0.22/0.46      inference(bind,[status(th)],[])).
% 0.22/0.46  tff(249,plain,
% 0.22/0.46      (![B: $i, A: $i] : (greater_or_equal(end_time(A), B) | (~environment(A)) | greater(B, end_time(A)) | (~greater(B, start_time(A)))) <=> ![B: $i, A: $i] : (greater_or_equal(end_time(A), B) | (~environment(A)) | greater(B, end_time(A)) | (~greater(B, start_time(A))))),
% 0.22/0.46      inference(quant_intro,[status(thm)],[248])).
% 0.22/0.46  tff(250,plain,
% 0.22/0.46      (![B: $i, A: $i] : (greater_or_equal(end_time(A), B) | (~environment(A)) | greater(B, end_time(A)) | (~greater(B, start_time(A)))) <=> ![B: $i, A: $i] : (greater_or_equal(end_time(A), B) | (~environment(A)) | greater(B, end_time(A)) | (~greater(B, start_time(A))))),
% 0.22/0.46      inference(rewrite,[status(thm)],[])).
% 0.22/0.46  tff(251,plain,
% 0.22/0.46      (^[B: $i, A: $i] : trans(monotonicity(rewrite((((~environment(A)) | (~greater(B, start_time(A)))) | greater(B, end_time(A))) <=> ((~environment(A)) | greater(B, end_time(A)) | (~greater(B, start_time(A))))), (((((~environment(A)) | (~greater(B, start_time(A)))) | greater(B, end_time(A))) | greater_or_equal(end_time(A), B)) <=> (((~environment(A)) | greater(B, end_time(A)) | (~greater(B, start_time(A)))) | greater_or_equal(end_time(A), B)))), rewrite((((~environment(A)) | greater(B, end_time(A)) | (~greater(B, start_time(A)))) | greater_or_equal(end_time(A), B)) <=> (greater_or_equal(end_time(A), B) | (~environment(A)) | greater(B, end_time(A)) | (~greater(B, start_time(A))))), (((((~environment(A)) | (~greater(B, start_time(A)))) | greater(B, end_time(A))) | greater_or_equal(end_time(A), B)) <=> (greater_or_equal(end_time(A), B) | (~environment(A)) | greater(B, end_time(A)) | (~greater(B, start_time(A))))))),
% 0.22/0.46      inference(bind,[status(th)],[])).
% 0.22/0.46  tff(252,plain,
% 0.22/0.46      (![B: $i, A: $i] : ((((~environment(A)) | (~greater(B, start_time(A)))) | greater(B, end_time(A))) | greater_or_equal(end_time(A), B)) <=> ![B: $i, A: $i] : (greater_or_equal(end_time(A), B) | (~environment(A)) | greater(B, end_time(A)) | (~greater(B, start_time(A))))),
% 0.22/0.46      inference(quant_intro,[status(thm)],[251])).
% 0.22/0.46  tff(253,axiom,(![B: $i, A: $i] : ((((~environment(A)) | (~greater(B, start_time(A)))) | greater(B, end_time(A))) | greater_or_equal(end_time(A), B))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','mp_beginning_and_ending_51')).
% 0.22/0.46  tff(254,plain,
% 0.22/0.46      (![B: $i, A: $i] : (greater_or_equal(end_time(A), B) | (~environment(A)) | greater(B, end_time(A)) | (~greater(B, start_time(A))))),
% 0.22/0.46      inference(modus_ponens,[status(thm)],[253, 252])).
% 0.22/0.46  tff(255,plain,
% 0.22/0.46      (![B: $i, A: $i] : (greater_or_equal(end_time(A), B) | (~environment(A)) | greater(B, end_time(A)) | (~greater(B, start_time(A))))),
% 0.22/0.46      inference(modus_ponens,[status(thm)],[254, 250])).
% 0.22/0.46  tff(256,plain,(
% 0.22/0.46      ![B: $i, A: $i] : (greater_or_equal(end_time(A), B) | (~environment(A)) | greater(B, end_time(A)) | (~greater(B, start_time(A))))),
% 0.22/0.46      inference(skolemize,[status(sab)],[255])).
% 0.22/0.46  tff(257,plain,
% 0.22/0.46      (![B: $i, A: $i] : (greater_or_equal(end_time(A), B) | (~environment(A)) | greater(B, end_time(A)) | (~greater(B, start_time(A))))),
% 0.22/0.46      inference(modus_ponens,[status(thm)],[256, 249])).
% 0.22/0.46  tff(258,plain,
% 0.22/0.46      (((~![B: $i, A: $i] : (greater_or_equal(end_time(A), B) | (~environment(A)) | greater(B, end_time(A)) | (~greater(B, start_time(A))))) | ((~environment(sk1(sk3))) | greater_or_equal(end_time(sk1(sk3)), end_time(sk1(sk3))) | greater(end_time(sk1(sk3)), end_time(sk1(sk3))) | (~greater(end_time(sk1(sk3)), start_time(sk1(sk3)))))) <=> ((~![B: $i, A: $i] : (greater_or_equal(end_time(A), B) | (~environment(A)) | greater(B, end_time(A)) | (~greater(B, start_time(A))))) | (~environment(sk1(sk3))) | greater_or_equal(end_time(sk1(sk3)), end_time(sk1(sk3))) | greater(end_time(sk1(sk3)), end_time(sk1(sk3))) | (~greater(end_time(sk1(sk3)), start_time(sk1(sk3)))))),
% 0.22/0.46      inference(rewrite,[status(thm)],[])).
% 0.22/0.46  tff(259,plain,
% 0.22/0.46      ((greater_or_equal(end_time(sk1(sk3)), end_time(sk1(sk3))) | (~environment(sk1(sk3))) | greater(end_time(sk1(sk3)), end_time(sk1(sk3))) | (~greater(end_time(sk1(sk3)), start_time(sk1(sk3))))) <=> ((~environment(sk1(sk3))) | greater_or_equal(end_time(sk1(sk3)), end_time(sk1(sk3))) | greater(end_time(sk1(sk3)), end_time(sk1(sk3))) | (~greater(end_time(sk1(sk3)), start_time(sk1(sk3)))))),
% 0.22/0.46      inference(rewrite,[status(thm)],[])).
% 0.22/0.46  tff(260,plain,
% 0.22/0.46      (((~![B: $i, A: $i] : (greater_or_equal(end_time(A), B) | (~environment(A)) | greater(B, end_time(A)) | (~greater(B, start_time(A))))) | (greater_or_equal(end_time(sk1(sk3)), end_time(sk1(sk3))) | (~environment(sk1(sk3))) | greater(end_time(sk1(sk3)), end_time(sk1(sk3))) | (~greater(end_time(sk1(sk3)), start_time(sk1(sk3)))))) <=> ((~![B: $i, A: $i] : (greater_or_equal(end_time(A), B) | (~environment(A)) | greater(B, end_time(A)) | (~greater(B, start_time(A))))) | ((~environment(sk1(sk3))) | greater_or_equal(end_time(sk1(sk3)), end_time(sk1(sk3))) | greater(end_time(sk1(sk3)), end_time(sk1(sk3))) | (~greater(end_time(sk1(sk3)), start_time(sk1(sk3))))))),
% 0.22/0.46      inference(monotonicity,[status(thm)],[259])).
% 0.22/0.46  tff(261,plain,
% 0.22/0.46      (((~![B: $i, A: $i] : (greater_or_equal(end_time(A), B) | (~environment(A)) | greater(B, end_time(A)) | (~greater(B, start_time(A))))) | (greater_or_equal(end_time(sk1(sk3)), end_time(sk1(sk3))) | (~environment(sk1(sk3))) | greater(end_time(sk1(sk3)), end_time(sk1(sk3))) | (~greater(end_time(sk1(sk3)), start_time(sk1(sk3)))))) <=> ((~![B: $i, A: $i] : (greater_or_equal(end_time(A), B) | (~environment(A)) | greater(B, end_time(A)) | (~greater(B, start_time(A))))) | (~environment(sk1(sk3))) | greater_or_equal(end_time(sk1(sk3)), end_time(sk1(sk3))) | greater(end_time(sk1(sk3)), end_time(sk1(sk3))) | (~greater(end_time(sk1(sk3)), start_time(sk1(sk3)))))),
% 0.22/0.46      inference(transitivity,[status(thm)],[260, 258])).
% 0.22/0.46  tff(262,plain,
% 0.22/0.46      ((~![B: $i, A: $i] : (greater_or_equal(end_time(A), B) | (~environment(A)) | greater(B, end_time(A)) | (~greater(B, start_time(A))))) | (greater_or_equal(end_time(sk1(sk3)), end_time(sk1(sk3))) | (~environment(sk1(sk3))) | greater(end_time(sk1(sk3)), end_time(sk1(sk3))) | (~greater(end_time(sk1(sk3)), start_time(sk1(sk3)))))),
% 0.22/0.46      inference(quant_inst,[status(thm)],[])).
% 0.22/0.46  tff(263,plain,
% 0.22/0.46      ((~![B: $i, A: $i] : (greater_or_equal(end_time(A), B) | (~environment(A)) | greater(B, end_time(A)) | (~greater(B, start_time(A))))) | (~environment(sk1(sk3))) | greater_or_equal(end_time(sk1(sk3)), end_time(sk1(sk3))) | greater(end_time(sk1(sk3)), end_time(sk1(sk3))) | (~greater(end_time(sk1(sk3)), start_time(sk1(sk3))))),
% 0.22/0.46      inference(modus_ponens,[status(thm)],[262, 261])).
% 0.22/0.46  tff(264,plain,
% 0.22/0.46      (greater_or_equal(end_time(sk1(sk3)), end_time(sk1(sk3))) | greater(end_time(sk1(sk3)), end_time(sk1(sk3))) | (~greater(end_time(sk1(sk3)), start_time(sk1(sk3))))),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[263, 257, 57])).
% 0.22/0.46  tff(265,plain,
% 0.22/0.46      (greater(end_time(sk1(sk3)), end_time(sk1(sk3)))),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[264, 247, 246])).
% 0.22/0.46  tff(266,plain,
% 0.22/0.46      (((~![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))) | ((~greater(end_time(sk1(sk3)), end_time(sk1(sk3)))) | greater_or_equal(end_time(sk1(sk3)), end_time(sk1(sk3))))) <=> ((~![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))) | (~greater(end_time(sk1(sk3)), end_time(sk1(sk3)))) | greater_or_equal(end_time(sk1(sk3)), end_time(sk1(sk3))))),
% 0.22/0.46      inference(rewrite,[status(thm)],[])).
% 0.22/0.46  tff(267,plain,
% 0.22/0.46      ((~![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))) | ((~greater(end_time(sk1(sk3)), end_time(sk1(sk3)))) | greater_or_equal(end_time(sk1(sk3)), end_time(sk1(sk3))))),
% 0.22/0.46      inference(quant_inst,[status(thm)],[])).
% 0.22/0.46  tff(268,plain,
% 0.22/0.46      ((~![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))) | (~greater(end_time(sk1(sk3)), end_time(sk1(sk3)))) | greater_or_equal(end_time(sk1(sk3)), end_time(sk1(sk3)))),
% 0.22/0.46      inference(modus_ponens,[status(thm)],[267, 266])).
% 0.22/0.46  tff(269,plain,
% 0.22/0.46      ($false),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[268, 9, 247, 265])).
% 0.22/0.46  tff(270,plain,(greater_or_equal(end_time(sk1(sk3)), end_time(sk1(sk3))) | (~greater(end_time(sk1(sk3)), start_time(sk1(sk3))))), inference(lemma,lemma(discharge,[]))).
% 0.22/0.46  tff(271,plain,
% 0.22/0.46      (greater_or_equal(end_time(sk1(sk3)), end_time(sk1(sk3)))),
% 0.22/0.46      inference(unit_resolution,[status(thm)],[270, 245])).
% 0.22/0.47  tff(272,plain,
% 0.22/0.47      (^[B: $i, A: $i] : refl((in_environment(A, B) | (~greater_or_equal(end_time(A), B)) | (~greater_or_equal(B, start_time(A))) | (~environment(A))) <=> (in_environment(A, B) | (~greater_or_equal(end_time(A), B)) | (~greater_or_equal(B, start_time(A))) | (~environment(A))))),
% 0.22/0.47      inference(bind,[status(th)],[])).
% 0.22/0.47  tff(273,plain,
% 0.22/0.47      (![B: $i, A: $i] : (in_environment(A, B) | (~greater_or_equal(end_time(A), B)) | (~greater_or_equal(B, start_time(A))) | (~environment(A))) <=> ![B: $i, A: $i] : (in_environment(A, B) | (~greater_or_equal(end_time(A), B)) | (~greater_or_equal(B, start_time(A))) | (~environment(A)))),
% 0.22/0.47      inference(quant_intro,[status(thm)],[272])).
% 0.22/0.47  tff(274,plain,
% 0.22/0.47      (![B: $i, A: $i] : (in_environment(A, B) | (~greater_or_equal(end_time(A), B)) | (~greater_or_equal(B, start_time(A))) | (~environment(A))) <=> ![B: $i, A: $i] : (in_environment(A, B) | (~greater_or_equal(end_time(A), B)) | (~greater_or_equal(B, start_time(A))) | (~environment(A)))),
% 0.22/0.47      inference(rewrite,[status(thm)],[])).
% 0.22/0.47  tff(275,plain,
% 0.22/0.47      (^[B: $i, A: $i] : trans(monotonicity(rewrite((((~environment(A)) | (~greater_or_equal(B, start_time(A)))) | (~greater_or_equal(end_time(A), B))) <=> ((~greater_or_equal(end_time(A), B)) | (~greater_or_equal(B, start_time(A))) | (~environment(A)))), (((((~environment(A)) | (~greater_or_equal(B, start_time(A)))) | (~greater_or_equal(end_time(A), B))) | in_environment(A, B)) <=> (((~greater_or_equal(end_time(A), B)) | (~greater_or_equal(B, start_time(A))) | (~environment(A))) | in_environment(A, B)))), rewrite((((~greater_or_equal(end_time(A), B)) | (~greater_or_equal(B, start_time(A))) | (~environment(A))) | in_environment(A, B)) <=> (in_environment(A, B) | (~greater_or_equal(end_time(A), B)) | (~greater_or_equal(B, start_time(A))) | (~environment(A)))), (((((~environment(A)) | (~greater_or_equal(B, start_time(A)))) | (~greater_or_equal(end_time(A), B))) | in_environment(A, B)) <=> (in_environment(A, B) | (~greater_or_equal(end_time(A), B)) | (~greater_or_equal(B, start_time(A))) | (~environment(A)))))),
% 0.22/0.47      inference(bind,[status(th)],[])).
% 0.22/0.47  tff(276,plain,
% 0.22/0.47      (![B: $i, A: $i] : ((((~environment(A)) | (~greater_or_equal(B, start_time(A)))) | (~greater_or_equal(end_time(A), B))) | in_environment(A, B)) <=> ![B: $i, A: $i] : (in_environment(A, B) | (~greater_or_equal(end_time(A), B)) | (~greater_or_equal(B, start_time(A))) | (~environment(A)))),
% 0.22/0.47      inference(quant_intro,[status(thm)],[275])).
% 0.22/0.47  tff(277,axiom,(![B: $i, A: $i] : ((((~environment(A)) | (~greater_or_equal(B, start_time(A)))) | (~greater_or_equal(end_time(A), B))) | in_environment(A, B))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','mp_time_in_environment_42')).
% 0.22/0.47  tff(278,plain,
% 0.22/0.47      (![B: $i, A: $i] : (in_environment(A, B) | (~greater_or_equal(end_time(A), B)) | (~greater_or_equal(B, start_time(A))) | (~environment(A)))),
% 0.22/0.47      inference(modus_ponens,[status(thm)],[277, 276])).
% 0.22/0.47  tff(279,plain,
% 0.22/0.47      (![B: $i, A: $i] : (in_environment(A, B) | (~greater_or_equal(end_time(A), B)) | (~greater_or_equal(B, start_time(A))) | (~environment(A)))),
% 0.22/0.47      inference(modus_ponens,[status(thm)],[278, 274])).
% 0.22/0.47  tff(280,plain,(
% 0.22/0.47      ![B: $i, A: $i] : (in_environment(A, B) | (~greater_or_equal(end_time(A), B)) | (~greater_or_equal(B, start_time(A))) | (~environment(A)))),
% 0.22/0.47      inference(skolemize,[status(sab)],[279])).
% 0.22/0.47  tff(281,plain,
% 0.22/0.47      (![B: $i, A: $i] : (in_environment(A, B) | (~greater_or_equal(end_time(A), B)) | (~greater_or_equal(B, start_time(A))) | (~environment(A)))),
% 0.22/0.47      inference(modus_ponens,[status(thm)],[280, 273])).
% 0.22/0.47  tff(282,plain,
% 0.22/0.47      (((~![B: $i, A: $i] : (in_environment(A, B) | (~greater_or_equal(end_time(A), B)) | (~greater_or_equal(B, start_time(A))) | (~environment(A)))) | ((~environment(sk1(sk3))) | in_environment(sk1(sk3), end_time(sk1(sk3))) | (~greater_or_equal(end_time(sk1(sk3)), end_time(sk1(sk3)))) | (~greater_or_equal(end_time(sk1(sk3)), start_time(sk1(sk3)))))) <=> ((~![B: $i, A: $i] : (in_environment(A, B) | (~greater_or_equal(end_time(A), B)) | (~greater_or_equal(B, start_time(A))) | (~environment(A)))) | (~environment(sk1(sk3))) | in_environment(sk1(sk3), end_time(sk1(sk3))) | (~greater_or_equal(end_time(sk1(sk3)), end_time(sk1(sk3)))) | (~greater_or_equal(end_time(sk1(sk3)), start_time(sk1(sk3)))))),
% 0.22/0.47      inference(rewrite,[status(thm)],[])).
% 0.22/0.47  tff(283,plain,
% 0.22/0.47      ((in_environment(sk1(sk3), end_time(sk1(sk3))) | (~greater_or_equal(end_time(sk1(sk3)), end_time(sk1(sk3)))) | (~greater_or_equal(end_time(sk1(sk3)), start_time(sk1(sk3)))) | (~environment(sk1(sk3)))) <=> ((~environment(sk1(sk3))) | in_environment(sk1(sk3), end_time(sk1(sk3))) | (~greater_or_equal(end_time(sk1(sk3)), end_time(sk1(sk3)))) | (~greater_or_equal(end_time(sk1(sk3)), start_time(sk1(sk3)))))),
% 0.22/0.47      inference(rewrite,[status(thm)],[])).
% 0.22/0.47  tff(284,plain,
% 0.22/0.47      (((~![B: $i, A: $i] : (in_environment(A, B) | (~greater_or_equal(end_time(A), B)) | (~greater_or_equal(B, start_time(A))) | (~environment(A)))) | (in_environment(sk1(sk3), end_time(sk1(sk3))) | (~greater_or_equal(end_time(sk1(sk3)), end_time(sk1(sk3)))) | (~greater_or_equal(end_time(sk1(sk3)), start_time(sk1(sk3)))) | (~environment(sk1(sk3))))) <=> ((~![B: $i, A: $i] : (in_environment(A, B) | (~greater_or_equal(end_time(A), B)) | (~greater_or_equal(B, start_time(A))) | (~environment(A)))) | ((~environment(sk1(sk3))) | in_environment(sk1(sk3), end_time(sk1(sk3))) | (~greater_or_equal(end_time(sk1(sk3)), end_time(sk1(sk3)))) | (~greater_or_equal(end_time(sk1(sk3)), start_time(sk1(sk3))))))),
% 0.22/0.47      inference(monotonicity,[status(thm)],[283])).
% 0.22/0.47  tff(285,plain,
% 0.22/0.47      (((~![B: $i, A: $i] : (in_environment(A, B) | (~greater_or_equal(end_time(A), B)) | (~greater_or_equal(B, start_time(A))) | (~environment(A)))) | (in_environment(sk1(sk3), end_time(sk1(sk3))) | (~greater_or_equal(end_time(sk1(sk3)), end_time(sk1(sk3)))) | (~greater_or_equal(end_time(sk1(sk3)), start_time(sk1(sk3)))) | (~environment(sk1(sk3))))) <=> ((~![B: $i, A: $i] : (in_environment(A, B) | (~greater_or_equal(end_time(A), B)) | (~greater_or_equal(B, start_time(A))) | (~environment(A)))) | (~environment(sk1(sk3))) | in_environment(sk1(sk3), end_time(sk1(sk3))) | (~greater_or_equal(end_time(sk1(sk3)), end_time(sk1(sk3)))) | (~greater_or_equal(end_time(sk1(sk3)), start_time(sk1(sk3)))))),
% 0.22/0.47      inference(transitivity,[status(thm)],[284, 282])).
% 0.22/0.47  tff(286,plain,
% 0.22/0.47      ((~![B: $i, A: $i] : (in_environment(A, B) | (~greater_or_equal(end_time(A), B)) | (~greater_or_equal(B, start_time(A))) | (~environment(A)))) | (in_environment(sk1(sk3), end_time(sk1(sk3))) | (~greater_or_equal(end_time(sk1(sk3)), end_time(sk1(sk3)))) | (~greater_or_equal(end_time(sk1(sk3)), start_time(sk1(sk3)))) | (~environment(sk1(sk3))))),
% 0.22/0.47      inference(quant_inst,[status(thm)],[])).
% 0.22/0.47  tff(287,plain,
% 0.22/0.47      ((~![B: $i, A: $i] : (in_environment(A, B) | (~greater_or_equal(end_time(A), B)) | (~greater_or_equal(B, start_time(A))) | (~environment(A)))) | (~environment(sk1(sk3))) | in_environment(sk1(sk3), end_time(sk1(sk3))) | (~greater_or_equal(end_time(sk1(sk3)), end_time(sk1(sk3)))) | (~greater_or_equal(end_time(sk1(sk3)), start_time(sk1(sk3))))),
% 0.22/0.47      inference(modus_ponens,[status(thm)],[286, 285])).
% 0.22/0.47  tff(288,plain,
% 0.22/0.47      (in_environment(sk1(sk3), end_time(sk1(sk3))) | (~greater_or_equal(end_time(sk1(sk3)), end_time(sk1(sk3)))) | (~greater_or_equal(end_time(sk1(sk3)), start_time(sk1(sk3))))),
% 0.22/0.47      inference(unit_resolution,[status(thm)],[287, 281, 57])).
% 0.22/0.47  tff(289,plain,
% 0.22/0.47      (in_environment(sk1(sk3), end_time(sk1(sk3)))),
% 0.22/0.47      inference(unit_resolution,[status(thm)],[288, 271, 241])).
% 0.22/0.47  tff(290,plain,
% 0.22/0.47      (^[B: $i, A: $i] : refl((subpopulation(first_movers, A, B) | (~in_environment(A, B)) | (~environment(A))) <=> (subpopulation(first_movers, A, B) | (~in_environment(A, B)) | (~environment(A))))),
% 0.22/0.47      inference(bind,[status(th)],[])).
% 0.22/0.47  tff(291,plain,
% 0.22/0.47      (![B: $i, A: $i] : (subpopulation(first_movers, A, B) | (~in_environment(A, B)) | (~environment(A))) <=> ![B: $i, A: $i] : (subpopulation(first_movers, A, B) | (~in_environment(A, B)) | (~environment(A)))),
% 0.22/0.47      inference(quant_intro,[status(thm)],[290])).
% 0.22/0.47  tff(292,plain,
% 0.22/0.47      (![B: $i, A: $i] : (subpopulation(first_movers, A, B) | (~in_environment(A, B)) | (~environment(A))) <=> ![B: $i, A: $i] : (subpopulation(first_movers, A, B) | (~in_environment(A, B)) | (~environment(A)))),
% 0.22/0.47      inference(rewrite,[status(thm)],[])).
% 0.22/0.47  tff(293,plain,
% 0.22/0.47      (^[B: $i, A: $i] : rewrite((((~environment(A)) | (~in_environment(A, B))) | subpopulation(first_movers, A, B)) <=> (subpopulation(first_movers, A, B) | (~in_environment(A, B)) | (~environment(A))))),
% 0.22/0.47      inference(bind,[status(th)],[])).
% 0.22/0.47  tff(294,plain,
% 0.22/0.47      (![B: $i, A: $i] : (((~environment(A)) | (~in_environment(A, B))) | subpopulation(first_movers, A, B)) <=> ![B: $i, A: $i] : (subpopulation(first_movers, A, B) | (~in_environment(A, B)) | (~environment(A)))),
% 0.22/0.47      inference(quant_intro,[status(thm)],[293])).
% 0.22/0.47  tff(295,axiom,(![B: $i, A: $i] : (((~environment(A)) | (~in_environment(A, B))) | subpopulation(first_movers, A, B))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','mp_subpopulations_46')).
% 0.22/0.47  tff(296,plain,
% 0.22/0.47      (![B: $i, A: $i] : (subpopulation(first_movers, A, B) | (~in_environment(A, B)) | (~environment(A)))),
% 0.22/0.47      inference(modus_ponens,[status(thm)],[295, 294])).
% 0.22/0.47  tff(297,plain,
% 0.22/0.47      (![B: $i, A: $i] : (subpopulation(first_movers, A, B) | (~in_environment(A, B)) | (~environment(A)))),
% 0.22/0.47      inference(modus_ponens,[status(thm)],[296, 292])).
% 0.22/0.47  tff(298,plain,(
% 0.22/0.47      ![B: $i, A: $i] : (subpopulation(first_movers, A, B) | (~in_environment(A, B)) | (~environment(A)))),
% 0.22/0.47      inference(skolemize,[status(sab)],[297])).
% 0.22/0.47  tff(299,plain,
% 0.22/0.47      (![B: $i, A: $i] : (subpopulation(first_movers, A, B) | (~in_environment(A, B)) | (~environment(A)))),
% 0.22/0.47      inference(modus_ponens,[status(thm)],[298, 291])).
% 0.22/0.47  tff(300,plain,
% 0.22/0.47      (((~![B: $i, A: $i] : (subpopulation(first_movers, A, B) | (~in_environment(A, B)) | (~environment(A)))) | ((~environment(sk1(sk3))) | (~in_environment(sk1(sk3), end_time(sk1(sk3)))) | subpopulation(first_movers, sk1(sk3), end_time(sk1(sk3))))) <=> ((~![B: $i, A: $i] : (subpopulation(first_movers, A, B) | (~in_environment(A, B)) | (~environment(A)))) | (~environment(sk1(sk3))) | (~in_environment(sk1(sk3), end_time(sk1(sk3)))) | subpopulation(first_movers, sk1(sk3), end_time(sk1(sk3))))),
% 0.22/0.47      inference(rewrite,[status(thm)],[])).
% 0.22/0.47  tff(301,plain,
% 0.22/0.47      ((subpopulation(first_movers, sk1(sk3), end_time(sk1(sk3))) | (~in_environment(sk1(sk3), end_time(sk1(sk3)))) | (~environment(sk1(sk3)))) <=> ((~environment(sk1(sk3))) | (~in_environment(sk1(sk3), end_time(sk1(sk3)))) | subpopulation(first_movers, sk1(sk3), end_time(sk1(sk3))))),
% 0.22/0.47      inference(rewrite,[status(thm)],[])).
% 0.22/0.47  tff(302,plain,
% 0.22/0.47      (((~![B: $i, A: $i] : (subpopulation(first_movers, A, B) | (~in_environment(A, B)) | (~environment(A)))) | (subpopulation(first_movers, sk1(sk3), end_time(sk1(sk3))) | (~in_environment(sk1(sk3), end_time(sk1(sk3)))) | (~environment(sk1(sk3))))) <=> ((~![B: $i, A: $i] : (subpopulation(first_movers, A, B) | (~in_environment(A, B)) | (~environment(A)))) | ((~environment(sk1(sk3))) | (~in_environment(sk1(sk3), end_time(sk1(sk3)))) | subpopulation(first_movers, sk1(sk3), end_time(sk1(sk3)))))),
% 0.22/0.47      inference(monotonicity,[status(thm)],[301])).
% 0.22/0.47  tff(303,plain,
% 0.22/0.47      (((~![B: $i, A: $i] : (subpopulation(first_movers, A, B) | (~in_environment(A, B)) | (~environment(A)))) | (subpopulation(first_movers, sk1(sk3), end_time(sk1(sk3))) | (~in_environment(sk1(sk3), end_time(sk1(sk3)))) | (~environment(sk1(sk3))))) <=> ((~![B: $i, A: $i] : (subpopulation(first_movers, A, B) | (~in_environment(A, B)) | (~environment(A)))) | (~environment(sk1(sk3))) | (~in_environment(sk1(sk3), end_time(sk1(sk3)))) | subpopulation(first_movers, sk1(sk3), end_time(sk1(sk3))))),
% 0.22/0.47      inference(transitivity,[status(thm)],[302, 300])).
% 0.22/0.47  tff(304,plain,
% 0.22/0.47      ((~![B: $i, A: $i] : (subpopulation(first_movers, A, B) | (~in_environment(A, B)) | (~environment(A)))) | (subpopulation(first_movers, sk1(sk3), end_time(sk1(sk3))) | (~in_environment(sk1(sk3), end_time(sk1(sk3)))) | (~environment(sk1(sk3))))),
% 0.22/0.47      inference(quant_inst,[status(thm)],[])).
% 0.22/0.47  tff(305,plain,
% 0.22/0.47      ((~![B: $i, A: $i] : (subpopulation(first_movers, A, B) | (~in_environment(A, B)) | (~environment(A)))) | (~environment(sk1(sk3))) | (~in_environment(sk1(sk3), end_time(sk1(sk3)))) | subpopulation(first_movers, sk1(sk3), end_time(sk1(sk3)))),
% 0.22/0.47      inference(modus_ponens,[status(thm)],[304, 303])).
% 0.22/0.47  tff(306,plain,
% 0.22/0.47      (subpopulation(first_movers, sk1(sk3), end_time(sk1(sk3)))),
% 0.22/0.47      inference(unit_resolution,[status(thm)],[305, 299, 57, 289])).
% 0.22/0.47  tff(307,plain,
% 0.22/0.47      (^[B: $i, A: $i] : refl(((~in_environment(A, B)) | (~environment(A)) | subpopulation(efficient_producers, A, B)) <=> ((~in_environment(A, B)) | (~environment(A)) | subpopulation(efficient_producers, A, B)))),
% 0.22/0.47      inference(bind,[status(th)],[])).
% 0.22/0.47  tff(308,plain,
% 0.22/0.47      (![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | subpopulation(efficient_producers, A, B)) <=> ![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | subpopulation(efficient_producers, A, B))),
% 0.22/0.47      inference(quant_intro,[status(thm)],[307])).
% 0.22/0.47  tff(309,plain,
% 0.22/0.47      (![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | subpopulation(efficient_producers, A, B)) <=> ![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | subpopulation(efficient_producers, A, B))),
% 0.22/0.47      inference(rewrite,[status(thm)],[])).
% 0.22/0.47  tff(310,plain,
% 0.22/0.47      (^[B: $i, A: $i] : rewrite((((~environment(A)) | (~in_environment(A, B))) | subpopulation(efficient_producers, A, B)) <=> ((~in_environment(A, B)) | (~environment(A)) | subpopulation(efficient_producers, A, B)))),
% 0.22/0.47      inference(bind,[status(th)],[])).
% 0.22/0.47  tff(311,plain,
% 0.22/0.47      (![B: $i, A: $i] : (((~environment(A)) | (~in_environment(A, B))) | subpopulation(efficient_producers, A, B)) <=> ![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | subpopulation(efficient_producers, A, B))),
% 0.22/0.47      inference(quant_intro,[status(thm)],[310])).
% 0.22/0.47  tff(312,axiom,(![B: $i, A: $i] : (((~environment(A)) | (~in_environment(A, B))) | subpopulation(efficient_producers, A, B))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','mp_subpopulations_47')).
% 0.22/0.47  tff(313,plain,
% 0.22/0.47      (![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | subpopulation(efficient_producers, A, B))),
% 0.22/0.47      inference(modus_ponens,[status(thm)],[312, 311])).
% 0.22/0.47  tff(314,plain,
% 0.22/0.47      (![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | subpopulation(efficient_producers, A, B))),
% 0.22/0.47      inference(modus_ponens,[status(thm)],[313, 309])).
% 0.22/0.47  tff(315,plain,(
% 0.22/0.47      ![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | subpopulation(efficient_producers, A, B))),
% 0.22/0.47      inference(skolemize,[status(sab)],[314])).
% 0.22/0.47  tff(316,plain,
% 0.22/0.47      (![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | subpopulation(efficient_producers, A, B))),
% 0.22/0.47      inference(modus_ponens,[status(thm)],[315, 308])).
% 0.22/0.47  tff(317,plain,
% 0.22/0.47      (((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | subpopulation(efficient_producers, A, B))) | ((~environment(sk1(sk3))) | (~in_environment(sk1(sk3), end_time(sk1(sk3)))) | subpopulation(efficient_producers, sk1(sk3), end_time(sk1(sk3))))) <=> ((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | subpopulation(efficient_producers, A, B))) | (~environment(sk1(sk3))) | (~in_environment(sk1(sk3), end_time(sk1(sk3)))) | subpopulation(efficient_producers, sk1(sk3), end_time(sk1(sk3))))),
% 0.22/0.47      inference(rewrite,[status(thm)],[])).
% 0.22/0.47  tff(318,plain,
% 0.22/0.47      (((~in_environment(sk1(sk3), end_time(sk1(sk3)))) | (~environment(sk1(sk3))) | subpopulation(efficient_producers, sk1(sk3), end_time(sk1(sk3)))) <=> ((~environment(sk1(sk3))) | (~in_environment(sk1(sk3), end_time(sk1(sk3)))) | subpopulation(efficient_producers, sk1(sk3), end_time(sk1(sk3))))),
% 0.22/0.47      inference(rewrite,[status(thm)],[])).
% 0.22/0.47  tff(319,plain,
% 0.22/0.47      (((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | subpopulation(efficient_producers, A, B))) | ((~in_environment(sk1(sk3), end_time(sk1(sk3)))) | (~environment(sk1(sk3))) | subpopulation(efficient_producers, sk1(sk3), end_time(sk1(sk3))))) <=> ((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | subpopulation(efficient_producers, A, B))) | ((~environment(sk1(sk3))) | (~in_environment(sk1(sk3), end_time(sk1(sk3)))) | subpopulation(efficient_producers, sk1(sk3), end_time(sk1(sk3)))))),
% 0.22/0.48      inference(monotonicity,[status(thm)],[318])).
% 0.22/0.48  tff(320,plain,
% 0.22/0.48      (((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | subpopulation(efficient_producers, A, B))) | ((~in_environment(sk1(sk3), end_time(sk1(sk3)))) | (~environment(sk1(sk3))) | subpopulation(efficient_producers, sk1(sk3), end_time(sk1(sk3))))) <=> ((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | subpopulation(efficient_producers, A, B))) | (~environment(sk1(sk3))) | (~in_environment(sk1(sk3), end_time(sk1(sk3)))) | subpopulation(efficient_producers, sk1(sk3), end_time(sk1(sk3))))),
% 0.22/0.48      inference(transitivity,[status(thm)],[319, 317])).
% 0.22/0.48  tff(321,plain,
% 0.22/0.48      ((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | subpopulation(efficient_producers, A, B))) | ((~in_environment(sk1(sk3), end_time(sk1(sk3)))) | (~environment(sk1(sk3))) | subpopulation(efficient_producers, sk1(sk3), end_time(sk1(sk3))))),
% 0.22/0.48      inference(quant_inst,[status(thm)],[])).
% 0.22/0.48  tff(322,plain,
% 0.22/0.48      ((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | subpopulation(efficient_producers, A, B))) | (~environment(sk1(sk3))) | (~in_environment(sk1(sk3), end_time(sk1(sk3)))) | subpopulation(efficient_producers, sk1(sk3), end_time(sk1(sk3)))),
% 0.22/0.48      inference(modus_ponens,[status(thm)],[321, 320])).
% 0.22/0.48  tff(323,plain,
% 0.22/0.48      (subpopulation(efficient_producers, sk1(sk3), end_time(sk1(sk3)))),
% 0.22/0.48      inference(unit_resolution,[status(thm)],[322, 316, 57, 289])).
% 0.22/0.48  tff(324,assumption,(greater_or_equal(end_time(sk1(sk3)), appear(efficient_producers, sk1(sk3)))), introduced(assumption)).
% 0.22/0.48  tff(325,plain,
% 0.22/0.48      (^[B: $i, A: $i] : refl(((~in_environment(A, B)) | (~environment(A)) | greater(cardinality_at_time(efficient_producers, B), zero) | (~greater_or_equal(B, appear(efficient_producers, A)))) <=> ((~in_environment(A, B)) | (~environment(A)) | greater(cardinality_at_time(efficient_producers, B), zero) | (~greater_or_equal(B, appear(efficient_producers, A)))))),
% 0.22/0.48      inference(bind,[status(th)],[])).
% 0.22/0.48  tff(326,plain,
% 0.22/0.48      (![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | greater(cardinality_at_time(efficient_producers, B), zero) | (~greater_or_equal(B, appear(efficient_producers, A)))) <=> ![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | greater(cardinality_at_time(efficient_producers, B), zero) | (~greater_or_equal(B, appear(efficient_producers, A))))),
% 0.22/0.48      inference(quant_intro,[status(thm)],[325])).
% 0.22/0.48  tff(327,plain,
% 0.22/0.48      (![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | greater(cardinality_at_time(efficient_producers, B), zero) | (~greater_or_equal(B, appear(efficient_producers, A)))) <=> ![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | greater(cardinality_at_time(efficient_producers, B), zero) | (~greater_or_equal(B, appear(efficient_producers, A))))),
% 0.22/0.48      inference(rewrite,[status(thm)],[])).
% 0.22/0.48  tff(328,plain,
% 0.22/0.48      (^[B: $i, A: $i] : trans(monotonicity(rewrite((((~environment(A)) | (~in_environment(A, B))) | (~greater_or_equal(B, appear(efficient_producers, A)))) <=> ((~in_environment(A, B)) | (~environment(A)) | (~greater_or_equal(B, appear(efficient_producers, A))))), (((((~environment(A)) | (~in_environment(A, B))) | (~greater_or_equal(B, appear(efficient_producers, A)))) | greater(cardinality_at_time(efficient_producers, B), zero)) <=> (((~in_environment(A, B)) | (~environment(A)) | (~greater_or_equal(B, appear(efficient_producers, A)))) | greater(cardinality_at_time(efficient_producers, B), zero)))), rewrite((((~in_environment(A, B)) | (~environment(A)) | (~greater_or_equal(B, appear(efficient_producers, A)))) | greater(cardinality_at_time(efficient_producers, B), zero)) <=> ((~in_environment(A, B)) | (~environment(A)) | greater(cardinality_at_time(efficient_producers, B), zero) | (~greater_or_equal(B, appear(efficient_producers, A))))), (((((~environment(A)) | (~in_environment(A, B))) | (~greater_or_equal(B, appear(efficient_producers, A)))) | greater(cardinality_at_time(efficient_producers, B), zero)) <=> ((~in_environment(A, B)) | (~environment(A)) | greater(cardinality_at_time(efficient_producers, B), zero) | (~greater_or_equal(B, appear(efficient_producers, A))))))),
% 0.22/0.48      inference(bind,[status(th)],[])).
% 0.22/0.48  tff(329,plain,
% 0.22/0.48      (![B: $i, A: $i] : ((((~environment(A)) | (~in_environment(A, B))) | (~greater_or_equal(B, appear(efficient_producers, A)))) | greater(cardinality_at_time(efficient_producers, B), zero)) <=> ![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | greater(cardinality_at_time(efficient_producers, B), zero) | (~greater_or_equal(B, appear(efficient_producers, A))))),
% 0.22/0.48      inference(quant_intro,[status(thm)],[328])).
% 0.22/0.48  tff(330,axiom,(![B: $i, A: $i] : ((((~environment(A)) | (~in_environment(A, B))) | (~greater_or_equal(B, appear(efficient_producers, A)))) | greater(cardinality_at_time(efficient_producers, B), zero))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','t6_57')).
% 0.22/0.48  tff(331,plain,
% 0.22/0.48      (![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | greater(cardinality_at_time(efficient_producers, B), zero) | (~greater_or_equal(B, appear(efficient_producers, A))))),
% 0.22/0.48      inference(modus_ponens,[status(thm)],[330, 329])).
% 0.22/0.48  tff(332,plain,
% 0.22/0.48      (![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | greater(cardinality_at_time(efficient_producers, B), zero) | (~greater_or_equal(B, appear(efficient_producers, A))))),
% 0.22/0.48      inference(modus_ponens,[status(thm)],[331, 327])).
% 0.22/0.48  tff(333,plain,(
% 0.22/0.48      ![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | greater(cardinality_at_time(efficient_producers, B), zero) | (~greater_or_equal(B, appear(efficient_producers, A))))),
% 0.22/0.48      inference(skolemize,[status(sab)],[332])).
% 0.22/0.48  tff(334,plain,
% 0.22/0.48      (![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | greater(cardinality_at_time(efficient_producers, B), zero) | (~greater_or_equal(B, appear(efficient_producers, A))))),
% 0.22/0.48      inference(modus_ponens,[status(thm)],[333, 326])).
% 0.22/0.48  tff(335,plain,
% 0.22/0.48      (((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | greater(cardinality_at_time(efficient_producers, B), zero) | (~greater_or_equal(B, appear(efficient_producers, A))))) | ((~environment(sk1(sk3))) | (~greater_or_equal(end_time(sk1(sk3)), appear(efficient_producers, sk1(sk3)))) | (~in_environment(sk1(sk3), end_time(sk1(sk3)))) | greater(cardinality_at_time(efficient_producers, end_time(sk1(sk3))), zero))) <=> ((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | greater(cardinality_at_time(efficient_producers, B), zero) | (~greater_or_equal(B, appear(efficient_producers, A))))) | (~environment(sk1(sk3))) | (~greater_or_equal(end_time(sk1(sk3)), appear(efficient_producers, sk1(sk3)))) | (~in_environment(sk1(sk3), end_time(sk1(sk3)))) | greater(cardinality_at_time(efficient_producers, end_time(sk1(sk3))), zero))),
% 0.22/0.48      inference(rewrite,[status(thm)],[])).
% 0.22/0.48  tff(336,plain,
% 0.22/0.48      (((~in_environment(sk1(sk3), end_time(sk1(sk3)))) | (~environment(sk1(sk3))) | greater(cardinality_at_time(efficient_producers, end_time(sk1(sk3))), zero) | (~greater_or_equal(end_time(sk1(sk3)), appear(efficient_producers, sk1(sk3))))) <=> ((~environment(sk1(sk3))) | (~greater_or_equal(end_time(sk1(sk3)), appear(efficient_producers, sk1(sk3)))) | (~in_environment(sk1(sk3), end_time(sk1(sk3)))) | greater(cardinality_at_time(efficient_producers, end_time(sk1(sk3))), zero))),
% 0.22/0.48      inference(rewrite,[status(thm)],[])).
% 0.22/0.48  tff(337,plain,
% 0.22/0.48      (((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | greater(cardinality_at_time(efficient_producers, B), zero) | (~greater_or_equal(B, appear(efficient_producers, A))))) | ((~in_environment(sk1(sk3), end_time(sk1(sk3)))) | (~environment(sk1(sk3))) | greater(cardinality_at_time(efficient_producers, end_time(sk1(sk3))), zero) | (~greater_or_equal(end_time(sk1(sk3)), appear(efficient_producers, sk1(sk3)))))) <=> ((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | greater(cardinality_at_time(efficient_producers, B), zero) | (~greater_or_equal(B, appear(efficient_producers, A))))) | ((~environment(sk1(sk3))) | (~greater_or_equal(end_time(sk1(sk3)), appear(efficient_producers, sk1(sk3)))) | (~in_environment(sk1(sk3), end_time(sk1(sk3)))) | greater(cardinality_at_time(efficient_producers, end_time(sk1(sk3))), zero)))),
% 0.22/0.48      inference(monotonicity,[status(thm)],[336])).
% 0.22/0.48  tff(338,plain,
% 0.22/0.48      (((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | greater(cardinality_at_time(efficient_producers, B), zero) | (~greater_or_equal(B, appear(efficient_producers, A))))) | ((~in_environment(sk1(sk3), end_time(sk1(sk3)))) | (~environment(sk1(sk3))) | greater(cardinality_at_time(efficient_producers, end_time(sk1(sk3))), zero) | (~greater_or_equal(end_time(sk1(sk3)), appear(efficient_producers, sk1(sk3)))))) <=> ((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | greater(cardinality_at_time(efficient_producers, B), zero) | (~greater_or_equal(B, appear(efficient_producers, A))))) | (~environment(sk1(sk3))) | (~greater_or_equal(end_time(sk1(sk3)), appear(efficient_producers, sk1(sk3)))) | (~in_environment(sk1(sk3), end_time(sk1(sk3)))) | greater(cardinality_at_time(efficient_producers, end_time(sk1(sk3))), zero))),
% 0.22/0.48      inference(transitivity,[status(thm)],[337, 335])).
% 0.22/0.48  tff(339,plain,
% 0.22/0.48      ((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | greater(cardinality_at_time(efficient_producers, B), zero) | (~greater_or_equal(B, appear(efficient_producers, A))))) | ((~in_environment(sk1(sk3), end_time(sk1(sk3)))) | (~environment(sk1(sk3))) | greater(cardinality_at_time(efficient_producers, end_time(sk1(sk3))), zero) | (~greater_or_equal(end_time(sk1(sk3)), appear(efficient_producers, sk1(sk3)))))),
% 0.22/0.48      inference(quant_inst,[status(thm)],[])).
% 0.22/0.48  tff(340,plain,
% 0.22/0.48      ((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | greater(cardinality_at_time(efficient_producers, B), zero) | (~greater_or_equal(B, appear(efficient_producers, A))))) | (~environment(sk1(sk3))) | (~greater_or_equal(end_time(sk1(sk3)), appear(efficient_producers, sk1(sk3)))) | (~in_environment(sk1(sk3), end_time(sk1(sk3)))) | greater(cardinality_at_time(efficient_producers, end_time(sk1(sk3))), zero)),
% 0.22/0.48      inference(modus_ponens,[status(thm)],[339, 338])).
% 0.22/0.48  tff(341,plain,
% 0.22/0.48      ((~in_environment(sk1(sk3), end_time(sk1(sk3)))) | greater(cardinality_at_time(efficient_producers, end_time(sk1(sk3))), zero)),
% 0.22/0.48      inference(unit_resolution,[status(thm)],[340, 334, 57, 324])).
% 0.22/0.48  tff(342,plain,
% 0.22/0.48      (greater(cardinality_at_time(efficient_producers, end_time(sk1(sk3))), zero)),
% 0.22/0.48      inference(unit_resolution,[status(thm)],[341, 289])).
% 0.22/0.48  tff(343,plain,
% 0.22/0.48      (^[A: $i] : refl((selection_favors(efficient_producers, first_movers, A) | (~observational_period(A)) | (~selection_favors(efficient_producers, first_movers, end_time(sk1(A))))) <=> (selection_favors(efficient_producers, first_movers, A) | (~observational_period(A)) | (~selection_favors(efficient_producers, first_movers, end_time(sk1(A))))))),
% 0.22/0.48      inference(bind,[status(th)],[])).
% 0.22/0.48  tff(344,plain,
% 0.22/0.48      (![A: $i] : (selection_favors(efficient_producers, first_movers, A) | (~observational_period(A)) | (~selection_favors(efficient_producers, first_movers, end_time(sk1(A))))) <=> ![A: $i] : (selection_favors(efficient_producers, first_movers, A) | (~observational_period(A)) | (~selection_favors(efficient_producers, first_movers, end_time(sk1(A)))))),
% 0.22/0.48      inference(quant_intro,[status(thm)],[343])).
% 0.22/0.48  tff(345,plain,
% 0.22/0.48      (![A: $i] : (selection_favors(efficient_producers, first_movers, A) | (~observational_period(A)) | (~selection_favors(efficient_producers, first_movers, end_time(sk1(A))))) <=> ![A: $i] : (selection_favors(efficient_producers, first_movers, A) | (~observational_period(A)) | (~selection_favors(efficient_producers, first_movers, end_time(sk1(A)))))),
% 0.22/0.48      inference(rewrite,[status(thm)],[])).
% 0.22/0.48  tff(346,plain,
% 0.22/0.48      (^[A: $i] : trans(monotonicity(trans(monotonicity(iff_true(asserted(propagation_strategy(first_movers)), (propagation_strategy(first_movers) <=> $true)), ((~propagation_strategy(first_movers)) <=> (~$true))), rewrite((~$true) <=> $false), ((~propagation_strategy(first_movers)) <=> $false)), trans(monotonicity(iff_true(asserted(propagation_strategy(efficient_producers)), (propagation_strategy(efficient_producers) <=> $true)), ((~propagation_strategy(efficient_producers)) <=> (~$true))), rewrite((~$true) <=> $false), ((~propagation_strategy(efficient_producers)) <=> $false)), (((~propagation_strategy(first_movers)) | selection_favors(efficient_producers, first_movers, A) | (~observational_period(A)) | (~propagation_strategy(efficient_producers)) | (~selection_favors(efficient_producers, first_movers, end_time(sk1(A))))) <=> ($false | selection_favors(efficient_producers, first_movers, A) | (~observational_period(A)) | $false | (~selection_favors(efficient_producers, first_movers, end_time(sk1(A))))))), rewrite(($false | selection_favors(efficient_producers, first_movers, A) | (~observational_period(A)) | $false | (~selection_favors(efficient_producers, first_movers, end_time(sk1(A))))) <=> (selection_favors(efficient_producers, first_movers, A) | (~observational_period(A)) | (~selection_favors(efficient_producers, first_movers, end_time(sk1(A)))))), (((~propagation_strategy(first_movers)) | selection_favors(efficient_producers, first_movers, A) | (~observational_period(A)) | (~propagation_strategy(efficient_producers)) | (~selection_favors(efficient_producers, first_movers, end_time(sk1(A))))) <=> (selection_favors(efficient_producers, first_movers, A) | (~observational_period(A)) | (~selection_favors(efficient_producers, first_movers, end_time(sk1(A)))))))),
% 0.22/0.48      inference(bind,[status(th)],[])).
% 0.22/0.48  tff(347,plain,
% 0.22/0.48      (![A: $i] : ((~propagation_strategy(first_movers)) | selection_favors(efficient_producers, first_movers, A) | (~observational_period(A)) | (~propagation_strategy(efficient_producers)) | (~selection_favors(efficient_producers, first_movers, end_time(sk1(A))))) <=> ![A: $i] : (selection_favors(efficient_producers, first_movers, A) | (~observational_period(A)) | (~selection_favors(efficient_producers, first_movers, end_time(sk1(A)))))),
% 0.22/0.48      inference(quant_intro,[status(thm)],[346])).
% 0.22/0.48  tff(348,plain,
% 0.22/0.48      (^[A: $i] : trans(monotonicity(trans(monotonicity(rewrite((((~observational_period(A)) | (~propagation_strategy(first_movers))) | (~propagation_strategy(efficient_producers))) <=> ((~propagation_strategy(first_movers)) | (~observational_period(A)) | (~propagation_strategy(efficient_producers)))), (((((~observational_period(A)) | (~propagation_strategy(first_movers))) | (~propagation_strategy(efficient_producers))) | (~selection_favors(efficient_producers, first_movers, end_time(sk1(A))))) <=> (((~propagation_strategy(first_movers)) | (~observational_period(A)) | (~propagation_strategy(efficient_producers))) | (~selection_favors(efficient_producers, first_movers, end_time(sk1(A))))))), rewrite((((~propagation_strategy(first_movers)) | (~observational_period(A)) | (~propagation_strategy(efficient_producers))) | (~selection_favors(efficient_producers, first_movers, end_time(sk1(A))))) <=> ((~propagation_strategy(first_movers)) | (~observational_period(A)) | (~propagation_strategy(efficient_producers)) | (~selection_favors(efficient_producers, first_movers, end_time(sk1(A)))))), (((((~observational_period(A)) | (~propagation_strategy(first_movers))) | (~propagation_strategy(efficient_producers))) | (~selection_favors(efficient_producers, first_movers, end_time(sk1(A))))) <=> ((~propagation_strategy(first_movers)) | (~observational_period(A)) | (~propagation_strategy(efficient_producers)) | (~selection_favors(efficient_producers, first_movers, end_time(sk1(A))))))), ((((((~observational_period(A)) | (~propagation_strategy(first_movers))) | (~propagation_strategy(efficient_producers))) | (~selection_favors(efficient_producers, first_movers, end_time(sk1(A))))) | selection_favors(efficient_producers, first_movers, A)) <=> (((~propagation_strategy(first_movers)) | (~observational_period(A)) | (~propagation_strategy(efficient_producers)) | (~selection_favors(efficient_producers, first_movers, end_time(sk1(A))))) | selection_favors(efficient_producers, first_movers, A)))), rewrite((((~propagation_strategy(first_movers)) | (~observational_period(A)) | (~propagation_strategy(efficient_producers)) | (~selection_favors(efficient_producers, first_movers, end_time(sk1(A))))) | selection_favors(efficient_producers, first_movers, A)) <=> ((~propagation_strategy(first_movers)) | selection_favors(efficient_producers, first_movers, A) | (~observational_period(A)) | (~propagation_strategy(efficient_producers)) | (~selection_favors(efficient_producers, first_movers, end_time(sk1(A)))))), ((((((~observational_period(A)) | (~propagation_strategy(first_movers))) | (~propagation_strategy(efficient_producers))) | (~selection_favors(efficient_producers, first_movers, end_time(sk1(A))))) | selection_favors(efficient_producers, first_movers, A)) <=> ((~propagation_strategy(first_movers)) | selection_favors(efficient_producers, first_movers, A) | (~observational_period(A)) | (~propagation_strategy(efficient_producers)) | (~selection_favors(efficient_producers, first_movers, end_time(sk1(A)))))))),
% 0.22/0.49      inference(bind,[status(th)],[])).
% 0.22/0.49  tff(349,plain,
% 0.22/0.49      (![A: $i] : (((((~observational_period(A)) | (~propagation_strategy(first_movers))) | (~propagation_strategy(efficient_producers))) | (~selection_favors(efficient_producers, first_movers, end_time(sk1(A))))) | selection_favors(efficient_producers, first_movers, A)) <=> ![A: $i] : ((~propagation_strategy(first_movers)) | selection_favors(efficient_producers, first_movers, A) | (~observational_period(A)) | (~propagation_strategy(efficient_producers)) | (~selection_favors(efficient_producers, first_movers, end_time(sk1(A)))))),
% 0.22/0.49      inference(quant_intro,[status(thm)],[348])).
% 0.22/0.49  tff(350,axiom,(![A: $i] : (((((~observational_period(A)) | (~propagation_strategy(first_movers))) | (~propagation_strategy(efficient_producers))) | (~selection_favors(efficient_producers, first_movers, end_time(sk1(A))))) | selection_favors(efficient_producers, first_movers, A))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','mp3_favoured_trategy_37')).
% 0.22/0.49  tff(351,plain,
% 0.22/0.49      (![A: $i] : ((~propagation_strategy(first_movers)) | selection_favors(efficient_producers, first_movers, A) | (~observational_period(A)) | (~propagation_strategy(efficient_producers)) | (~selection_favors(efficient_producers, first_movers, end_time(sk1(A)))))),
% 0.22/0.49      inference(modus_ponens,[status(thm)],[350, 349])).
% 0.22/0.49  tff(352,plain,
% 0.22/0.49      (![A: $i] : (selection_favors(efficient_producers, first_movers, A) | (~observational_period(A)) | (~selection_favors(efficient_producers, first_movers, end_time(sk1(A)))))),
% 0.22/0.49      inference(modus_ponens,[status(thm)],[351, 347])).
% 0.22/0.49  tff(353,plain,
% 0.22/0.49      (![A: $i] : (selection_favors(efficient_producers, first_movers, A) | (~observational_period(A)) | (~selection_favors(efficient_producers, first_movers, end_time(sk1(A)))))),
% 0.22/0.49      inference(modus_ponens,[status(thm)],[352, 345])).
% 0.22/0.49  tff(354,plain,(
% 0.22/0.49      ![A: $i] : (selection_favors(efficient_producers, first_movers, A) | (~observational_period(A)) | (~selection_favors(efficient_producers, first_movers, end_time(sk1(A)))))),
% 0.22/0.49      inference(skolemize,[status(sab)],[353])).
% 0.22/0.49  tff(355,plain,
% 0.22/0.49      (![A: $i] : (selection_favors(efficient_producers, first_movers, A) | (~observational_period(A)) | (~selection_favors(efficient_producers, first_movers, end_time(sk1(A)))))),
% 0.22/0.49      inference(modus_ponens,[status(thm)],[354, 344])).
% 0.22/0.49  tff(356,plain,
% 0.22/0.49      (((~![A: $i] : (selection_favors(efficient_producers, first_movers, A) | (~observational_period(A)) | (~selection_favors(efficient_producers, first_movers, end_time(sk1(A)))))) | (selection_favors(efficient_producers, first_movers, sk3) | (~observational_period(sk3)) | (~selection_favors(efficient_producers, first_movers, end_time(sk1(sk3)))))) <=> ((~![A: $i] : (selection_favors(efficient_producers, first_movers, A) | (~observational_period(A)) | (~selection_favors(efficient_producers, first_movers, end_time(sk1(A)))))) | selection_favors(efficient_producers, first_movers, sk3) | (~observational_period(sk3)) | (~selection_favors(efficient_producers, first_movers, end_time(sk1(sk3)))))),
% 0.22/0.49      inference(rewrite,[status(thm)],[])).
% 0.22/0.49  tff(357,plain,
% 0.22/0.49      ((~![A: $i] : (selection_favors(efficient_producers, first_movers, A) | (~observational_period(A)) | (~selection_favors(efficient_producers, first_movers, end_time(sk1(A)))))) | (selection_favors(efficient_producers, first_movers, sk3) | (~observational_period(sk3)) | (~selection_favors(efficient_producers, first_movers, end_time(sk1(sk3)))))),
% 0.22/0.49      inference(quant_inst,[status(thm)],[])).
% 0.22/0.49  tff(358,plain,
% 0.22/0.49      ((~![A: $i] : (selection_favors(efficient_producers, first_movers, A) | (~observational_period(A)) | (~selection_favors(efficient_producers, first_movers, end_time(sk1(A)))))) | selection_favors(efficient_producers, first_movers, sk3) | (~observational_period(sk3)) | (~selection_favors(efficient_producers, first_movers, end_time(sk1(sk3))))),
% 0.22/0.49      inference(modus_ponens,[status(thm)],[357, 356])).
% 0.22/0.49  tff(359,plain,
% 0.22/0.49      (~selection_favors(efficient_producers, first_movers, end_time(sk1(sk3)))),
% 0.22/0.49      inference(unit_resolution,[status(thm)],[358, 355, 23, 20])).
% 0.22/0.49  tff(360,plain,
% 0.22/0.49      (^[B: $i, D: $i, A: $i, C: $i] : refl(((~environment(A)) | selection_favors(B, D, C) | (~(cardinality_at_time(D, C) = zero)) | (~greater(cardinality_at_time(B, C), zero)) | (~subpopulation(D, A, C)) | (~subpopulation(B, A, C))) <=> ((~environment(A)) | selection_favors(B, D, C) | (~(cardinality_at_time(D, C) = zero)) | (~greater(cardinality_at_time(B, C), zero)) | (~subpopulation(D, A, C)) | (~subpopulation(B, A, C))))),
% 0.22/0.49      inference(bind,[status(th)],[])).
% 0.22/0.49  tff(361,plain,
% 0.22/0.49      (![B: $i, D: $i, A: $i, C: $i] : ((~environment(A)) | selection_favors(B, D, C) | (~(cardinality_at_time(D, C) = zero)) | (~greater(cardinality_at_time(B, C), zero)) | (~subpopulation(D, A, C)) | (~subpopulation(B, A, C))) <=> ![B: $i, D: $i, A: $i, C: $i] : ((~environment(A)) | selection_favors(B, D, C) | (~(cardinality_at_time(D, C) = zero)) | (~greater(cardinality_at_time(B, C), zero)) | (~subpopulation(D, A, C)) | (~subpopulation(B, A, C)))),
% 0.22/0.49      inference(quant_intro,[status(thm)],[360])).
% 0.22/0.49  tff(362,plain,
% 0.22/0.49      (![B: $i, D: $i, A: $i, C: $i] : ((~environment(A)) | selection_favors(B, D, C) | (~(cardinality_at_time(D, C) = zero)) | (~greater(cardinality_at_time(B, C), zero)) | (~subpopulation(D, A, C)) | (~subpopulation(B, A, C))) <=> ![B: $i, D: $i, A: $i, C: $i] : ((~environment(A)) | selection_favors(B, D, C) | (~(cardinality_at_time(D, C) = zero)) | (~greater(cardinality_at_time(B, C), zero)) | (~subpopulation(D, A, C)) | (~subpopulation(B, A, C)))),
% 0.22/0.49      inference(rewrite,[status(thm)],[])).
% 0.22/0.49  tff(363,plain,
% 0.22/0.49      (^[B: $i, D: $i, A: $i, C: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~environment(A)) | (~subpopulation(B, A, C))) | (~subpopulation(D, A, C))) <=> ((~environment(A)) | (~subpopulation(D, A, C)) | (~subpopulation(B, A, C)))), (((((~environment(A)) | (~subpopulation(B, A, C))) | (~subpopulation(D, A, C))) | (~greater(cardinality_at_time(B, C), zero))) <=> (((~environment(A)) | (~subpopulation(D, A, C)) | (~subpopulation(B, A, C))) | (~greater(cardinality_at_time(B, C), zero))))), rewrite((((~environment(A)) | (~subpopulation(D, A, C)) | (~subpopulation(B, A, C))) | (~greater(cardinality_at_time(B, C), zero))) <=> ((~environment(A)) | (~greater(cardinality_at_time(B, C), zero)) | (~subpopulation(D, A, C)) | (~subpopulation(B, A, C)))), (((((~environment(A)) | (~subpopulation(B, A, C))) | (~subpopulation(D, A, C))) | (~greater(cardinality_at_time(B, C), zero))) <=> ((~environment(A)) | (~greater(cardinality_at_time(B, C), zero)) | (~subpopulation(D, A, C)) | (~subpopulation(B, A, C))))), ((((((~environment(A)) | (~subpopulation(B, A, C))) | (~subpopulation(D, A, C))) | (~greater(cardinality_at_time(B, C), zero))) | (~(cardinality_at_time(D, C) = zero))) <=> (((~environment(A)) | (~greater(cardinality_at_time(B, C), zero)) | (~subpopulation(D, A, C)) | (~subpopulation(B, A, C))) | (~(cardinality_at_time(D, C) = zero))))), rewrite((((~environment(A)) | (~greater(cardinality_at_time(B, C), zero)) | (~subpopulation(D, A, C)) | (~subpopulation(B, A, C))) | (~(cardinality_at_time(D, C) = zero))) <=> ((~environment(A)) | (~(cardinality_at_time(D, C) = zero)) | (~greater(cardinality_at_time(B, C), zero)) | (~subpopulation(D, A, C)) | (~subpopulation(B, A, C)))), ((((((~environment(A)) | (~subpopulation(B, A, C))) | (~subpopulation(D, A, C))) | (~greater(cardinality_at_time(B, C), zero))) | (~(cardinality_at_time(D, C) = zero))) <=> ((~environment(A)) | (~(cardinality_at_time(D, C) = zero)) | (~greater(cardinality_at_time(B, C), zero)) | (~subpopulation(D, A, C)) | (~subpopulation(B, A, C))))), (((((((~environment(A)) | (~subpopulation(B, A, C))) | (~subpopulation(D, A, C))) | (~greater(cardinality_at_time(B, C), zero))) | (~(cardinality_at_time(D, C) = zero))) | selection_favors(B, D, C)) <=> (((~environment(A)) | (~(cardinality_at_time(D, C) = zero)) | (~greater(cardinality_at_time(B, C), zero)) | (~subpopulation(D, A, C)) | (~subpopulation(B, A, C))) | selection_favors(B, D, C)))), rewrite((((~environment(A)) | (~(cardinality_at_time(D, C) = zero)) | (~greater(cardinality_at_time(B, C), zero)) | (~subpopulation(D, A, C)) | (~subpopulation(B, A, C))) | selection_favors(B, D, C)) <=> ((~environment(A)) | selection_favors(B, D, C) | (~(cardinality_at_time(D, C) = zero)) | (~greater(cardinality_at_time(B, C), zero)) | (~subpopulation(D, A, C)) | (~subpopulation(B, A, C)))), (((((((~environment(A)) | (~subpopulation(B, A, C))) | (~subpopulation(D, A, C))) | (~greater(cardinality_at_time(B, C), zero))) | (~(cardinality_at_time(D, C) = zero))) | selection_favors(B, D, C)) <=> ((~environment(A)) | selection_favors(B, D, C) | (~(cardinality_at_time(D, C) = zero)) | (~greater(cardinality_at_time(B, C), zero)) | (~subpopulation(D, A, C)) | (~subpopulation(B, A, C)))))),
% 0.22/0.49      inference(bind,[status(th)],[])).
% 0.22/0.49  tff(364,plain,
% 0.22/0.49      (![B: $i, D: $i, A: $i, C: $i] : ((((((~environment(A)) | (~subpopulation(B, A, C))) | (~subpopulation(D, A, C))) | (~greater(cardinality_at_time(B, C), zero))) | (~(cardinality_at_time(D, C) = zero))) | selection_favors(B, D, C)) <=> ![B: $i, D: $i, A: $i, C: $i] : ((~environment(A)) | selection_favors(B, D, C) | (~(cardinality_at_time(D, C) = zero)) | (~greater(cardinality_at_time(B, C), zero)) | (~subpopulation(D, A, C)) | (~subpopulation(B, A, C)))),
% 0.22/0.49      inference(quant_intro,[status(thm)],[363])).
% 0.22/0.49  tff(365,axiom,(![B: $i, D: $i, A: $i, C: $i] : ((((((~environment(A)) | (~subpopulation(B, A, C))) | (~subpopulation(D, A, C))) | (~greater(cardinality_at_time(B, C), zero))) | (~(cardinality_at_time(D, C) = zero))) | selection_favors(B, D, C))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','mp2_favour_members_34')).
% 0.22/0.49  tff(366,plain,
% 0.22/0.49      (![B: $i, D: $i, A: $i, C: $i] : ((~environment(A)) | selection_favors(B, D, C) | (~(cardinality_at_time(D, C) = zero)) | (~greater(cardinality_at_time(B, C), zero)) | (~subpopulation(D, A, C)) | (~subpopulation(B, A, C)))),
% 0.22/0.49      inference(modus_ponens,[status(thm)],[365, 364])).
% 0.22/0.49  tff(367,plain,
% 0.22/0.49      (![B: $i, D: $i, A: $i, C: $i] : ((~environment(A)) | selection_favors(B, D, C) | (~(cardinality_at_time(D, C) = zero)) | (~greater(cardinality_at_time(B, C), zero)) | (~subpopulation(D, A, C)) | (~subpopulation(B, A, C)))),
% 0.22/0.49      inference(modus_ponens,[status(thm)],[366, 362])).
% 0.22/0.49  tff(368,plain,(
% 0.22/0.49      ![B: $i, D: $i, A: $i, C: $i] : ((~environment(A)) | selection_favors(B, D, C) | (~(cardinality_at_time(D, C) = zero)) | (~greater(cardinality_at_time(B, C), zero)) | (~subpopulation(D, A, C)) | (~subpopulation(B, A, C)))),
% 0.22/0.49      inference(skolemize,[status(sab)],[367])).
% 0.22/0.49  tff(369,plain,
% 0.22/0.49      (![B: $i, D: $i, A: $i, C: $i] : ((~environment(A)) | selection_favors(B, D, C) | (~(cardinality_at_time(D, C) = zero)) | (~greater(cardinality_at_time(B, C), zero)) | (~subpopulation(D, A, C)) | (~subpopulation(B, A, C)))),
% 0.22/0.49      inference(modus_ponens,[status(thm)],[368, 361])).
% 0.22/0.49  tff(370,plain,
% 0.22/0.49      (((~![B: $i, D: $i, A: $i, C: $i] : ((~environment(A)) | selection_favors(B, D, C) | (~(cardinality_at_time(D, C) = zero)) | (~greater(cardinality_at_time(B, C), zero)) | (~subpopulation(D, A, C)) | (~subpopulation(B, A, C)))) | (selection_favors(efficient_producers, first_movers, end_time(sk1(sk3))) | (~environment(sk1(sk3))) | (~greater(cardinality_at_time(efficient_producers, end_time(sk1(sk3))), zero)) | (~(cardinality_at_time(first_movers, end_time(sk1(sk3))) = zero)) | (~subpopulation(first_movers, sk1(sk3), end_time(sk1(sk3)))) | (~subpopulation(efficient_producers, sk1(sk3), end_time(sk1(sk3)))))) <=> ((~![B: $i, D: $i, A: $i, C: $i] : ((~environment(A)) | selection_favors(B, D, C) | (~(cardinality_at_time(D, C) = zero)) | (~greater(cardinality_at_time(B, C), zero)) | (~subpopulation(D, A, C)) | (~subpopulation(B, A, C)))) | selection_favors(efficient_producers, first_movers, end_time(sk1(sk3))) | (~environment(sk1(sk3))) | (~greater(cardinality_at_time(efficient_producers, end_time(sk1(sk3))), zero)) | (~(cardinality_at_time(first_movers, end_time(sk1(sk3))) = zero)) | (~subpopulation(first_movers, sk1(sk3), end_time(sk1(sk3)))) | (~subpopulation(efficient_producers, sk1(sk3), end_time(sk1(sk3)))))),
% 0.22/0.50      inference(rewrite,[status(thm)],[])).
% 0.22/0.50  tff(371,plain,
% 0.22/0.50      (((~environment(sk1(sk3))) | selection_favors(efficient_producers, first_movers, end_time(sk1(sk3))) | (~(cardinality_at_time(first_movers, end_time(sk1(sk3))) = zero)) | (~greater(cardinality_at_time(efficient_producers, end_time(sk1(sk3))), zero)) | (~subpopulation(first_movers, sk1(sk3), end_time(sk1(sk3)))) | (~subpopulation(efficient_producers, sk1(sk3), end_time(sk1(sk3))))) <=> (selection_favors(efficient_producers, first_movers, end_time(sk1(sk3))) | (~environment(sk1(sk3))) | (~greater(cardinality_at_time(efficient_producers, end_time(sk1(sk3))), zero)) | (~(cardinality_at_time(first_movers, end_time(sk1(sk3))) = zero)) | (~subpopulation(first_movers, sk1(sk3), end_time(sk1(sk3)))) | (~subpopulation(efficient_producers, sk1(sk3), end_time(sk1(sk3)))))),
% 0.22/0.50      inference(rewrite,[status(thm)],[])).
% 0.22/0.50  tff(372,plain,
% 0.22/0.50      (((~![B: $i, D: $i, A: $i, C: $i] : ((~environment(A)) | selection_favors(B, D, C) | (~(cardinality_at_time(D, C) = zero)) | (~greater(cardinality_at_time(B, C), zero)) | (~subpopulation(D, A, C)) | (~subpopulation(B, A, C)))) | ((~environment(sk1(sk3))) | selection_favors(efficient_producers, first_movers, end_time(sk1(sk3))) | (~(cardinality_at_time(first_movers, end_time(sk1(sk3))) = zero)) | (~greater(cardinality_at_time(efficient_producers, end_time(sk1(sk3))), zero)) | (~subpopulation(first_movers, sk1(sk3), end_time(sk1(sk3)))) | (~subpopulation(efficient_producers, sk1(sk3), end_time(sk1(sk3)))))) <=> ((~![B: $i, D: $i, A: $i, C: $i] : ((~environment(A)) | selection_favors(B, D, C) | (~(cardinality_at_time(D, C) = zero)) | (~greater(cardinality_at_time(B, C), zero)) | (~subpopulation(D, A, C)) | (~subpopulation(B, A, C)))) | (selection_favors(efficient_producers, first_movers, end_time(sk1(sk3))) | (~environment(sk1(sk3))) | (~greater(cardinality_at_time(efficient_producers, end_time(sk1(sk3))), zero)) | (~(cardinality_at_time(first_movers, end_time(sk1(sk3))) = zero)) | (~subpopulation(first_movers, sk1(sk3), end_time(sk1(sk3)))) | (~subpopulation(efficient_producers, sk1(sk3), end_time(sk1(sk3))))))),
% 0.22/0.50      inference(monotonicity,[status(thm)],[371])).
% 0.22/0.50  tff(373,plain,
% 0.22/0.50      (((~![B: $i, D: $i, A: $i, C: $i] : ((~environment(A)) | selection_favors(B, D, C) | (~(cardinality_at_time(D, C) = zero)) | (~greater(cardinality_at_time(B, C), zero)) | (~subpopulation(D, A, C)) | (~subpopulation(B, A, C)))) | ((~environment(sk1(sk3))) | selection_favors(efficient_producers, first_movers, end_time(sk1(sk3))) | (~(cardinality_at_time(first_movers, end_time(sk1(sk3))) = zero)) | (~greater(cardinality_at_time(efficient_producers, end_time(sk1(sk3))), zero)) | (~subpopulation(first_movers, sk1(sk3), end_time(sk1(sk3)))) | (~subpopulation(efficient_producers, sk1(sk3), end_time(sk1(sk3)))))) <=> ((~![B: $i, D: $i, A: $i, C: $i] : ((~environment(A)) | selection_favors(B, D, C) | (~(cardinality_at_time(D, C) = zero)) | (~greater(cardinality_at_time(B, C), zero)) | (~subpopulation(D, A, C)) | (~subpopulation(B, A, C)))) | selection_favors(efficient_producers, first_movers, end_time(sk1(sk3))) | (~environment(sk1(sk3))) | (~greater(cardinality_at_time(efficient_producers, end_time(sk1(sk3))), zero)) | (~(cardinality_at_time(first_movers, end_time(sk1(sk3))) = zero)) | (~subpopulation(first_movers, sk1(sk3), end_time(sk1(sk3)))) | (~subpopulation(efficient_producers, sk1(sk3), end_time(sk1(sk3)))))),
% 0.22/0.50      inference(transitivity,[status(thm)],[372, 370])).
% 0.22/0.50  tff(374,plain,
% 0.22/0.50      ((~![B: $i, D: $i, A: $i, C: $i] : ((~environment(A)) | selection_favors(B, D, C) | (~(cardinality_at_time(D, C) = zero)) | (~greater(cardinality_at_time(B, C), zero)) | (~subpopulation(D, A, C)) | (~subpopulation(B, A, C)))) | ((~environment(sk1(sk3))) | selection_favors(efficient_producers, first_movers, end_time(sk1(sk3))) | (~(cardinality_at_time(first_movers, end_time(sk1(sk3))) = zero)) | (~greater(cardinality_at_time(efficient_producers, end_time(sk1(sk3))), zero)) | (~subpopulation(first_movers, sk1(sk3), end_time(sk1(sk3)))) | (~subpopulation(efficient_producers, sk1(sk3), end_time(sk1(sk3)))))),
% 0.22/0.50      inference(quant_inst,[status(thm)],[])).
% 0.22/0.50  tff(375,plain,
% 0.22/0.50      ((~![B: $i, D: $i, A: $i, C: $i] : ((~environment(A)) | selection_favors(B, D, C) | (~(cardinality_at_time(D, C) = zero)) | (~greater(cardinality_at_time(B, C), zero)) | (~subpopulation(D, A, C)) | (~subpopulation(B, A, C)))) | selection_favors(efficient_producers, first_movers, end_time(sk1(sk3))) | (~environment(sk1(sk3))) | (~greater(cardinality_at_time(efficient_producers, end_time(sk1(sk3))), zero)) | (~(cardinality_at_time(first_movers, end_time(sk1(sk3))) = zero)) | (~subpopulation(first_movers, sk1(sk3), end_time(sk1(sk3)))) | (~subpopulation(efficient_producers, sk1(sk3), end_time(sk1(sk3))))),
% 0.22/0.50      inference(modus_ponens,[status(thm)],[374, 373])).
% 0.22/0.50  tff(376,plain,
% 0.22/0.50      (~(cardinality_at_time(first_movers, end_time(sk1(sk3))) = zero)),
% 0.22/0.50      inference(unit_resolution,[status(thm)],[375, 369, 57, 359, 342, 323, 306])).
% 0.22/0.50  tff(377,plain,
% 0.22/0.50      (^[B: $i, A: $i] : refl(((~in_environment(A, B)) | (~environment(A)) | greater_or_equal(cardinality_at_time(first_movers, B), zero)) <=> ((~in_environment(A, B)) | (~environment(A)) | greater_or_equal(cardinality_at_time(first_movers, B), zero)))),
% 0.22/0.50      inference(bind,[status(th)],[])).
% 0.22/0.50  tff(378,plain,
% 0.22/0.50      (![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | greater_or_equal(cardinality_at_time(first_movers, B), zero)) <=> ![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | greater_or_equal(cardinality_at_time(first_movers, B), zero))),
% 0.22/0.50      inference(quant_intro,[status(thm)],[377])).
% 0.22/0.50  tff(379,plain,
% 0.22/0.50      (![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | greater_or_equal(cardinality_at_time(first_movers, B), zero)) <=> ![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | greater_or_equal(cardinality_at_time(first_movers, B), zero))),
% 0.22/0.50      inference(rewrite,[status(thm)],[])).
% 0.22/0.50  tff(380,plain,
% 0.22/0.50      (^[B: $i, A: $i] : rewrite((((~environment(A)) | (~in_environment(A, B))) | greater_or_equal(cardinality_at_time(first_movers, B), zero)) <=> ((~in_environment(A, B)) | (~environment(A)) | greater_or_equal(cardinality_at_time(first_movers, B), zero)))),
% 0.22/0.50      inference(bind,[status(th)],[])).
% 0.22/0.50  tff(381,plain,
% 0.22/0.50      (![B: $i, A: $i] : (((~environment(A)) | (~in_environment(A, B))) | greater_or_equal(cardinality_at_time(first_movers, B), zero)) <=> ![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | greater_or_equal(cardinality_at_time(first_movers, B), zero))),
% 0.22/0.50      inference(quant_intro,[status(thm)],[380])).
% 0.22/0.50  tff(382,axiom,(![B: $i, A: $i] : (((~environment(A)) | (~in_environment(A, B))) | greater_or_equal(cardinality_at_time(first_movers, B), zero))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','mp_first_movers_exist_45')).
% 0.22/0.50  tff(383,plain,
% 0.22/0.50      (![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | greater_or_equal(cardinality_at_time(first_movers, B), zero))),
% 0.22/0.50      inference(modus_ponens,[status(thm)],[382, 381])).
% 0.22/0.50  tff(384,plain,
% 0.22/0.50      (![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | greater_or_equal(cardinality_at_time(first_movers, B), zero))),
% 0.22/0.50      inference(modus_ponens,[status(thm)],[383, 379])).
% 0.22/0.50  tff(385,plain,(
% 0.22/0.50      ![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | greater_or_equal(cardinality_at_time(first_movers, B), zero))),
% 0.22/0.51      inference(skolemize,[status(sab)],[384])).
% 0.22/0.51  tff(386,plain,
% 0.22/0.51      (![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | greater_or_equal(cardinality_at_time(first_movers, B), zero))),
% 0.22/0.51      inference(modus_ponens,[status(thm)],[385, 378])).
% 0.22/0.51  tff(387,plain,
% 0.22/0.51      (((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | greater_or_equal(cardinality_at_time(first_movers, B), zero))) | ((~environment(sk1(sk3))) | (~in_environment(sk1(sk3), end_time(sk1(sk3)))) | greater_or_equal(cardinality_at_time(first_movers, end_time(sk1(sk3))), zero))) <=> ((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | greater_or_equal(cardinality_at_time(first_movers, B), zero))) | (~environment(sk1(sk3))) | (~in_environment(sk1(sk3), end_time(sk1(sk3)))) | greater_or_equal(cardinality_at_time(first_movers, end_time(sk1(sk3))), zero))),
% 0.22/0.51      inference(rewrite,[status(thm)],[])).
% 0.22/0.51  tff(388,plain,
% 0.22/0.51      (((~in_environment(sk1(sk3), end_time(sk1(sk3)))) | (~environment(sk1(sk3))) | greater_or_equal(cardinality_at_time(first_movers, end_time(sk1(sk3))), zero)) <=> ((~environment(sk1(sk3))) | (~in_environment(sk1(sk3), end_time(sk1(sk3)))) | greater_or_equal(cardinality_at_time(first_movers, end_time(sk1(sk3))), zero))),
% 0.22/0.51      inference(rewrite,[status(thm)],[])).
% 0.22/0.51  tff(389,plain,
% 0.22/0.51      (((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | greater_or_equal(cardinality_at_time(first_movers, B), zero))) | ((~in_environment(sk1(sk3), end_time(sk1(sk3)))) | (~environment(sk1(sk3))) | greater_or_equal(cardinality_at_time(first_movers, end_time(sk1(sk3))), zero))) <=> ((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | greater_or_equal(cardinality_at_time(first_movers, B), zero))) | ((~environment(sk1(sk3))) | (~in_environment(sk1(sk3), end_time(sk1(sk3)))) | greater_or_equal(cardinality_at_time(first_movers, end_time(sk1(sk3))), zero)))),
% 0.22/0.51      inference(monotonicity,[status(thm)],[388])).
% 0.22/0.51  tff(390,plain,
% 0.22/0.51      (((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | greater_or_equal(cardinality_at_time(first_movers, B), zero))) | ((~in_environment(sk1(sk3), end_time(sk1(sk3)))) | (~environment(sk1(sk3))) | greater_or_equal(cardinality_at_time(first_movers, end_time(sk1(sk3))), zero))) <=> ((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | greater_or_equal(cardinality_at_time(first_movers, B), zero))) | (~environment(sk1(sk3))) | (~in_environment(sk1(sk3), end_time(sk1(sk3)))) | greater_or_equal(cardinality_at_time(first_movers, end_time(sk1(sk3))), zero))),
% 0.22/0.51      inference(transitivity,[status(thm)],[389, 387])).
% 0.22/0.51  tff(391,plain,
% 0.22/0.51      ((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | greater_or_equal(cardinality_at_time(first_movers, B), zero))) | ((~in_environment(sk1(sk3), end_time(sk1(sk3)))) | (~environment(sk1(sk3))) | greater_or_equal(cardinality_at_time(first_movers, end_time(sk1(sk3))), zero))),
% 0.22/0.51      inference(quant_inst,[status(thm)],[])).
% 0.22/0.51  tff(392,plain,
% 0.22/0.51      ((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | greater_or_equal(cardinality_at_time(first_movers, B), zero))) | (~environment(sk1(sk3))) | (~in_environment(sk1(sk3), end_time(sk1(sk3)))) | greater_or_equal(cardinality_at_time(first_movers, end_time(sk1(sk3))), zero)),
% 0.22/0.51      inference(modus_ponens,[status(thm)],[391, 390])).
% 0.22/0.51  tff(393,plain,
% 0.22/0.51      (greater_or_equal(cardinality_at_time(first_movers, end_time(sk1(sk3))), zero)),
% 0.22/0.51      inference(unit_resolution,[status(thm)],[392, 386, 57, 289])).
% 0.22/0.51  tff(394,plain,
% 0.22/0.51      (((~![B: $i, A: $i] : (greater(A, B) | (A = B) | (~greater_or_equal(A, B)))) | (greater(cardinality_at_time(first_movers, end_time(sk1(sk3))), zero) | (cardinality_at_time(first_movers, end_time(sk1(sk3))) = zero) | (~greater_or_equal(cardinality_at_time(first_movers, end_time(sk1(sk3))), zero)))) <=> ((~![B: $i, A: $i] : (greater(A, B) | (A = B) | (~greater_or_equal(A, B)))) | greater(cardinality_at_time(first_movers, end_time(sk1(sk3))), zero) | (cardinality_at_time(first_movers, end_time(sk1(sk3))) = zero) | (~greater_or_equal(cardinality_at_time(first_movers, end_time(sk1(sk3))), zero)))),
% 0.22/0.51      inference(rewrite,[status(thm)],[])).
% 0.22/0.51  tff(395,plain,
% 0.22/0.51      ((~![B: $i, A: $i] : (greater(A, B) | (A = B) | (~greater_or_equal(A, B)))) | (greater(cardinality_at_time(first_movers, end_time(sk1(sk3))), zero) | (cardinality_at_time(first_movers, end_time(sk1(sk3))) = zero) | (~greater_or_equal(cardinality_at_time(first_movers, end_time(sk1(sk3))), zero)))),
% 0.22/0.51      inference(quant_inst,[status(thm)],[])).
% 0.22/0.51  tff(396,plain,
% 0.22/0.51      ((~![B: $i, A: $i] : (greater(A, B) | (A = B) | (~greater_or_equal(A, B)))) | greater(cardinality_at_time(first_movers, end_time(sk1(sk3))), zero) | (cardinality_at_time(first_movers, end_time(sk1(sk3))) = zero) | (~greater_or_equal(cardinality_at_time(first_movers, end_time(sk1(sk3))), zero))),
% 0.22/0.51      inference(modus_ponens,[status(thm)],[395, 394])).
% 0.22/0.51  tff(397,plain,
% 0.22/0.51      (greater(cardinality_at_time(first_movers, end_time(sk1(sk3))), zero)),
% 0.22/0.51      inference(unit_resolution,[status(thm)],[396, 106, 393, 376])).
% 0.22/0.51  tff(398,plain,
% 0.22/0.51      (^[B: $i, A: $i] : refl(((~in_environment(A, B)) | (~environment(A)) | subpopulations(first_movers, efficient_producers, A, B) | (~greater(cardinality_at_time(efficient_producers, B), zero)) | (~greater(cardinality_at_time(first_movers, B), zero))) <=> ((~in_environment(A, B)) | (~environment(A)) | subpopulations(first_movers, efficient_producers, A, B) | (~greater(cardinality_at_time(efficient_producers, B), zero)) | (~greater(cardinality_at_time(first_movers, B), zero))))),
% 0.22/0.51      inference(bind,[status(th)],[])).
% 0.22/0.51  tff(399,plain,
% 0.22/0.51      (![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | subpopulations(first_movers, efficient_producers, A, B) | (~greater(cardinality_at_time(efficient_producers, B), zero)) | (~greater(cardinality_at_time(first_movers, B), zero))) <=> ![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | subpopulations(first_movers, efficient_producers, A, B) | (~greater(cardinality_at_time(efficient_producers, B), zero)) | (~greater(cardinality_at_time(first_movers, B), zero)))),
% 0.22/0.51      inference(quant_intro,[status(thm)],[398])).
% 0.22/0.51  tff(400,plain,
% 0.22/0.51      (![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | subpopulations(first_movers, efficient_producers, A, B) | (~greater(cardinality_at_time(efficient_producers, B), zero)) | (~greater(cardinality_at_time(first_movers, B), zero))) <=> ![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | subpopulations(first_movers, efficient_producers, A, B) | (~greater(cardinality_at_time(efficient_producers, B), zero)) | (~greater(cardinality_at_time(first_movers, B), zero)))),
% 0.22/0.51      inference(rewrite,[status(thm)],[])).
% 0.22/0.51  tff(401,plain,
% 0.22/0.51      (^[B: $i, A: $i] : trans(monotonicity(trans(monotonicity(rewrite((((~environment(A)) | (~in_environment(A, B))) | (~greater(cardinality_at_time(first_movers, B), zero))) <=> ((~in_environment(A, B)) | (~environment(A)) | (~greater(cardinality_at_time(first_movers, B), zero)))), (((((~environment(A)) | (~in_environment(A, B))) | (~greater(cardinality_at_time(first_movers, B), zero))) | (~greater(cardinality_at_time(efficient_producers, B), zero))) <=> (((~in_environment(A, B)) | (~environment(A)) | (~greater(cardinality_at_time(first_movers, B), zero))) | (~greater(cardinality_at_time(efficient_producers, B), zero))))), rewrite((((~in_environment(A, B)) | (~environment(A)) | (~greater(cardinality_at_time(first_movers, B), zero))) | (~greater(cardinality_at_time(efficient_producers, B), zero))) <=> ((~in_environment(A, B)) | (~environment(A)) | (~greater(cardinality_at_time(efficient_producers, B), zero)) | (~greater(cardinality_at_time(first_movers, B), zero)))), (((((~environment(A)) | (~in_environment(A, B))) | (~greater(cardinality_at_time(first_movers, B), zero))) | (~greater(cardinality_at_time(efficient_producers, B), zero))) <=> ((~in_environment(A, B)) | (~environment(A)) | (~greater(cardinality_at_time(efficient_producers, B), zero)) | (~greater(cardinality_at_time(first_movers, B), zero))))), ((((((~environment(A)) | (~in_environment(A, B))) | (~greater(cardinality_at_time(first_movers, B), zero))) | (~greater(cardinality_at_time(efficient_producers, B), zero))) | subpopulations(first_movers, efficient_producers, A, B)) <=> (((~in_environment(A, B)) | (~environment(A)) | (~greater(cardinality_at_time(efficient_producers, B), zero)) | (~greater(cardinality_at_time(first_movers, B), zero))) | subpopulations(first_movers, efficient_producers, A, B)))), rewrite((((~in_environment(A, B)) | (~environment(A)) | (~greater(cardinality_at_time(efficient_producers, B), zero)) | (~greater(cardinality_at_time(first_movers, B), zero))) | subpopulations(first_movers, efficient_producers, A, B)) <=> ((~in_environment(A, B)) | (~environment(A)) | subpopulations(first_movers, efficient_producers, A, B) | (~greater(cardinality_at_time(efficient_producers, B), zero)) | (~greater(cardinality_at_time(first_movers, B), zero)))), ((((((~environment(A)) | (~in_environment(A, B))) | (~greater(cardinality_at_time(first_movers, B), zero))) | (~greater(cardinality_at_time(efficient_producers, B), zero))) | subpopulations(first_movers, efficient_producers, A, B)) <=> ((~in_environment(A, B)) | (~environment(A)) | subpopulations(first_movers, efficient_producers, A, B) | (~greater(cardinality_at_time(efficient_producers, B), zero)) | (~greater(cardinality_at_time(first_movers, B), zero)))))),
% 0.22/0.52      inference(bind,[status(th)],[])).
% 0.22/0.52  tff(402,plain,
% 0.22/0.52      (![B: $i, A: $i] : (((((~environment(A)) | (~in_environment(A, B))) | (~greater(cardinality_at_time(first_movers, B), zero))) | (~greater(cardinality_at_time(efficient_producers, B), zero))) | subpopulations(first_movers, efficient_producers, A, B)) <=> ![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | subpopulations(first_movers, efficient_producers, A, B) | (~greater(cardinality_at_time(efficient_producers, B), zero)) | (~greater(cardinality_at_time(first_movers, B), zero)))),
% 0.22/0.52      inference(quant_intro,[status(thm)],[401])).
% 0.22/0.52  tff(403,axiom,(![B: $i, A: $i] : (((((~environment(A)) | (~in_environment(A, B))) | (~greater(cardinality_at_time(first_movers, B), zero))) | (~greater(cardinality_at_time(efficient_producers, B), zero))) | subpopulations(first_movers, efficient_producers, A, B))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','mp_contains_FM_and_EP_44')).
% 0.22/0.52  tff(404,plain,
% 0.22/0.52      (![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | subpopulations(first_movers, efficient_producers, A, B) | (~greater(cardinality_at_time(efficient_producers, B), zero)) | (~greater(cardinality_at_time(first_movers, B), zero)))),
% 0.22/0.52      inference(modus_ponens,[status(thm)],[403, 402])).
% 0.22/0.52  tff(405,plain,
% 0.22/0.52      (![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | subpopulations(first_movers, efficient_producers, A, B) | (~greater(cardinality_at_time(efficient_producers, B), zero)) | (~greater(cardinality_at_time(first_movers, B), zero)))),
% 0.22/0.52      inference(modus_ponens,[status(thm)],[404, 400])).
% 0.22/0.52  tff(406,plain,(
% 0.22/0.52      ![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | subpopulations(first_movers, efficient_producers, A, B) | (~greater(cardinality_at_time(efficient_producers, B), zero)) | (~greater(cardinality_at_time(first_movers, B), zero)))),
% 0.22/0.52      inference(skolemize,[status(sab)],[405])).
% 0.22/0.52  tff(407,plain,
% 0.22/0.52      (![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | subpopulations(first_movers, efficient_producers, A, B) | (~greater(cardinality_at_time(efficient_producers, B), zero)) | (~greater(cardinality_at_time(first_movers, B), zero)))),
% 0.22/0.52      inference(modus_ponens,[status(thm)],[406, 399])).
% 0.22/0.52  tff(408,plain,
% 0.22/0.52      (((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | subpopulations(first_movers, efficient_producers, A, B) | (~greater(cardinality_at_time(efficient_producers, B), zero)) | (~greater(cardinality_at_time(first_movers, B), zero)))) | ((~environment(sk1(sk3))) | (~in_environment(sk1(sk3), end_time(sk1(sk3)))) | subpopulations(first_movers, efficient_producers, sk1(sk3), end_time(sk1(sk3))) | (~greater(cardinality_at_time(efficient_producers, end_time(sk1(sk3))), zero)) | (~greater(cardinality_at_time(first_movers, end_time(sk1(sk3))), zero)))) <=> ((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | subpopulations(first_movers, efficient_producers, A, B) | (~greater(cardinality_at_time(efficient_producers, B), zero)) | (~greater(cardinality_at_time(first_movers, B), zero)))) | (~environment(sk1(sk3))) | (~in_environment(sk1(sk3), end_time(sk1(sk3)))) | subpopulations(first_movers, efficient_producers, sk1(sk3), end_time(sk1(sk3))) | (~greater(cardinality_at_time(efficient_producers, end_time(sk1(sk3))), zero)) | (~greater(cardinality_at_time(first_movers, end_time(sk1(sk3))), zero)))),
% 0.22/0.52      inference(rewrite,[status(thm)],[])).
% 0.22/0.52  tff(409,plain,
% 0.22/0.52      (((~in_environment(sk1(sk3), end_time(sk1(sk3)))) | (~environment(sk1(sk3))) | subpopulations(first_movers, efficient_producers, sk1(sk3), end_time(sk1(sk3))) | (~greater(cardinality_at_time(efficient_producers, end_time(sk1(sk3))), zero)) | (~greater(cardinality_at_time(first_movers, end_time(sk1(sk3))), zero))) <=> ((~environment(sk1(sk3))) | (~in_environment(sk1(sk3), end_time(sk1(sk3)))) | subpopulations(first_movers, efficient_producers, sk1(sk3), end_time(sk1(sk3))) | (~greater(cardinality_at_time(efficient_producers, end_time(sk1(sk3))), zero)) | (~greater(cardinality_at_time(first_movers, end_time(sk1(sk3))), zero)))),
% 0.22/0.52      inference(rewrite,[status(thm)],[])).
% 0.22/0.52  tff(410,plain,
% 0.22/0.52      (((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | subpopulations(first_movers, efficient_producers, A, B) | (~greater(cardinality_at_time(efficient_producers, B), zero)) | (~greater(cardinality_at_time(first_movers, B), zero)))) | ((~in_environment(sk1(sk3), end_time(sk1(sk3)))) | (~environment(sk1(sk3))) | subpopulations(first_movers, efficient_producers, sk1(sk3), end_time(sk1(sk3))) | (~greater(cardinality_at_time(efficient_producers, end_time(sk1(sk3))), zero)) | (~greater(cardinality_at_time(first_movers, end_time(sk1(sk3))), zero)))) <=> ((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | subpopulations(first_movers, efficient_producers, A, B) | (~greater(cardinality_at_time(efficient_producers, B), zero)) | (~greater(cardinality_at_time(first_movers, B), zero)))) | ((~environment(sk1(sk3))) | (~in_environment(sk1(sk3), end_time(sk1(sk3)))) | subpopulations(first_movers, efficient_producers, sk1(sk3), end_time(sk1(sk3))) | (~greater(cardinality_at_time(efficient_producers, end_time(sk1(sk3))), zero)) | (~greater(cardinality_at_time(first_movers, end_time(sk1(sk3))), zero))))),
% 0.22/0.52      inference(monotonicity,[status(thm)],[409])).
% 0.22/0.52  tff(411,plain,
% 0.22/0.52      (((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | subpopulations(first_movers, efficient_producers, A, B) | (~greater(cardinality_at_time(efficient_producers, B), zero)) | (~greater(cardinality_at_time(first_movers, B), zero)))) | ((~in_environment(sk1(sk3), end_time(sk1(sk3)))) | (~environment(sk1(sk3))) | subpopulations(first_movers, efficient_producers, sk1(sk3), end_time(sk1(sk3))) | (~greater(cardinality_at_time(efficient_producers, end_time(sk1(sk3))), zero)) | (~greater(cardinality_at_time(first_movers, end_time(sk1(sk3))), zero)))) <=> ((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | subpopulations(first_movers, efficient_producers, A, B) | (~greater(cardinality_at_time(efficient_producers, B), zero)) | (~greater(cardinality_at_time(first_movers, B), zero)))) | (~environment(sk1(sk3))) | (~in_environment(sk1(sk3), end_time(sk1(sk3)))) | subpopulations(first_movers, efficient_producers, sk1(sk3), end_time(sk1(sk3))) | (~greater(cardinality_at_time(efficient_producers, end_time(sk1(sk3))), zero)) | (~greater(cardinality_at_time(first_movers, end_time(sk1(sk3))), zero)))),
% 0.22/0.52      inference(transitivity,[status(thm)],[410, 408])).
% 0.22/0.52  tff(412,plain,
% 0.22/0.52      ((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | subpopulations(first_movers, efficient_producers, A, B) | (~greater(cardinality_at_time(efficient_producers, B), zero)) | (~greater(cardinality_at_time(first_movers, B), zero)))) | ((~in_environment(sk1(sk3), end_time(sk1(sk3)))) | (~environment(sk1(sk3))) | subpopulations(first_movers, efficient_producers, sk1(sk3), end_time(sk1(sk3))) | (~greater(cardinality_at_time(efficient_producers, end_time(sk1(sk3))), zero)) | (~greater(cardinality_at_time(first_movers, end_time(sk1(sk3))), zero)))),
% 0.22/0.53      inference(quant_inst,[status(thm)],[])).
% 0.22/0.53  tff(413,plain,
% 0.22/0.53      ((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | subpopulations(first_movers, efficient_producers, A, B) | (~greater(cardinality_at_time(efficient_producers, B), zero)) | (~greater(cardinality_at_time(first_movers, B), zero)))) | (~environment(sk1(sk3))) | (~in_environment(sk1(sk3), end_time(sk1(sk3)))) | subpopulations(first_movers, efficient_producers, sk1(sk3), end_time(sk1(sk3))) | (~greater(cardinality_at_time(efficient_producers, end_time(sk1(sk3))), zero)) | (~greater(cardinality_at_time(first_movers, end_time(sk1(sk3))), zero))),
% 0.22/0.53      inference(modus_ponens,[status(thm)],[412, 411])).
% 0.22/0.53  tff(414,plain,
% 0.22/0.53      (subpopulations(first_movers, efficient_producers, sk1(sk3), end_time(sk1(sk3))) | (~greater(cardinality_at_time(first_movers, end_time(sk1(sk3))), zero))),
% 0.22/0.53      inference(unit_resolution,[status(thm)],[413, 407, 57, 289, 342])).
% 0.22/0.53  tff(415,plain,
% 0.22/0.53      (subpopulations(first_movers, efficient_producers, sk1(sk3), end_time(sk1(sk3)))),
% 0.22/0.53      inference(unit_resolution,[status(thm)],[414, 397])).
% 0.22/0.53  tff(416,plain,
% 0.22/0.53      (^[B: $i, D: $i, A: $i, C: $i] : refl((selection_favors(C, B, D) | (~greater(growth_rate(C, D), growth_rate(B, D))) | (~subpopulations(B, C, A, D)) | (~environment(A))) <=> (selection_favors(C, B, D) | (~greater(growth_rate(C, D), growth_rate(B, D))) | (~subpopulations(B, C, A, D)) | (~environment(A))))),
% 0.22/0.53      inference(bind,[status(th)],[])).
% 0.22/0.53  tff(417,plain,
% 0.22/0.53      (![B: $i, D: $i, A: $i, C: $i] : (selection_favors(C, B, D) | (~greater(growth_rate(C, D), growth_rate(B, D))) | (~subpopulations(B, C, A, D)) | (~environment(A))) <=> ![B: $i, D: $i, A: $i, C: $i] : (selection_favors(C, B, D) | (~greater(growth_rate(C, D), growth_rate(B, D))) | (~subpopulations(B, C, A, D)) | (~environment(A)))),
% 0.22/0.53      inference(quant_intro,[status(thm)],[416])).
% 0.22/0.53  tff(418,plain,
% 0.22/0.53      (![B: $i, D: $i, A: $i, C: $i] : (selection_favors(C, B, D) | (~greater(growth_rate(C, D), growth_rate(B, D))) | (~subpopulations(B, C, A, D)) | (~environment(A))) <=> ![B: $i, D: $i, A: $i, C: $i] : (selection_favors(C, B, D) | (~greater(growth_rate(C, D), growth_rate(B, D))) | (~subpopulations(B, C, A, D)) | (~environment(A)))),
% 0.22/0.53      inference(rewrite,[status(thm)],[])).
% 0.22/0.53  tff(419,plain,
% 0.22/0.53      (^[B: $i, D: $i, A: $i, C: $i] : trans(monotonicity(rewrite((((~environment(A)) | (~subpopulations(B, C, A, D))) | (~greater(growth_rate(C, D), growth_rate(B, D)))) <=> ((~greater(growth_rate(C, D), growth_rate(B, D))) | (~subpopulations(B, C, A, D)) | (~environment(A)))), (((((~environment(A)) | (~subpopulations(B, C, A, D))) | (~greater(growth_rate(C, D), growth_rate(B, D)))) | selection_favors(C, B, D)) <=> (((~greater(growth_rate(C, D), growth_rate(B, D))) | (~subpopulations(B, C, A, D)) | (~environment(A))) | selection_favors(C, B, D)))), rewrite((((~greater(growth_rate(C, D), growth_rate(B, D))) | (~subpopulations(B, C, A, D)) | (~environment(A))) | selection_favors(C, B, D)) <=> (selection_favors(C, B, D) | (~greater(growth_rate(C, D), growth_rate(B, D))) | (~subpopulations(B, C, A, D)) | (~environment(A)))), (((((~environment(A)) | (~subpopulations(B, C, A, D))) | (~greater(growth_rate(C, D), growth_rate(B, D)))) | selection_favors(C, B, D)) <=> (selection_favors(C, B, D) | (~greater(growth_rate(C, D), growth_rate(B, D))) | (~subpopulations(B, C, A, D)) | (~environment(A)))))),
% 0.22/0.53      inference(bind,[status(th)],[])).
% 0.22/0.53  tff(420,plain,
% 0.22/0.53      (![B: $i, D: $i, A: $i, C: $i] : ((((~environment(A)) | (~subpopulations(B, C, A, D))) | (~greater(growth_rate(C, D), growth_rate(B, D)))) | selection_favors(C, B, D)) <=> ![B: $i, D: $i, A: $i, C: $i] : (selection_favors(C, B, D) | (~greater(growth_rate(C, D), growth_rate(B, D))) | (~subpopulations(B, C, A, D)) | (~environment(A)))),
% 0.22/0.53      inference(quant_intro,[status(thm)],[419])).
% 0.22/0.53  tff(421,axiom,(![B: $i, D: $i, A: $i, C: $i] : ((((~environment(A)) | (~subpopulations(B, C, A, D))) | (~greater(growth_rate(C, D), growth_rate(B, D)))) | selection_favors(C, B, D))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','mp1_high_growth_rates_33')).
% 0.22/0.53  tff(422,plain,
% 0.22/0.53      (![B: $i, D: $i, A: $i, C: $i] : (selection_favors(C, B, D) | (~greater(growth_rate(C, D), growth_rate(B, D))) | (~subpopulations(B, C, A, D)) | (~environment(A)))),
% 0.22/0.53      inference(modus_ponens,[status(thm)],[421, 420])).
% 0.22/0.53  tff(423,plain,
% 0.22/0.53      (![B: $i, D: $i, A: $i, C: $i] : (selection_favors(C, B, D) | (~greater(growth_rate(C, D), growth_rate(B, D))) | (~subpopulations(B, C, A, D)) | (~environment(A)))),
% 0.22/0.53      inference(modus_ponens,[status(thm)],[422, 418])).
% 0.22/0.53  tff(424,plain,(
% 0.22/0.53      ![B: $i, D: $i, A: $i, C: $i] : (selection_favors(C, B, D) | (~greater(growth_rate(C, D), growth_rate(B, D))) | (~subpopulations(B, C, A, D)) | (~environment(A)))),
% 0.22/0.53      inference(skolemize,[status(sab)],[423])).
% 0.22/0.53  tff(425,plain,
% 0.22/0.53      (![B: $i, D: $i, A: $i, C: $i] : (selection_favors(C, B, D) | (~greater(growth_rate(C, D), growth_rate(B, D))) | (~subpopulations(B, C, A, D)) | (~environment(A)))),
% 0.22/0.53      inference(modus_ponens,[status(thm)],[424, 417])).
% 0.22/0.53  tff(426,plain,
% 0.22/0.53      (((~![B: $i, D: $i, A: $i, C: $i] : (selection_favors(C, B, D) | (~greater(growth_rate(C, D), growth_rate(B, D))) | (~subpopulations(B, C, A, D)) | (~environment(A)))) | (selection_favors(efficient_producers, first_movers, end_time(sk1(sk3))) | (~environment(sk1(sk3))) | (~greater(growth_rate(efficient_producers, end_time(sk1(sk3))), growth_rate(first_movers, end_time(sk1(sk3))))) | (~subpopulations(first_movers, efficient_producers, sk1(sk3), end_time(sk1(sk3)))))) <=> ((~![B: $i, D: $i, A: $i, C: $i] : (selection_favors(C, B, D) | (~greater(growth_rate(C, D), growth_rate(B, D))) | (~subpopulations(B, C, A, D)) | (~environment(A)))) | selection_favors(efficient_producers, first_movers, end_time(sk1(sk3))) | (~environment(sk1(sk3))) | (~greater(growth_rate(efficient_producers, end_time(sk1(sk3))), growth_rate(first_movers, end_time(sk1(sk3))))) | (~subpopulations(first_movers, efficient_producers, sk1(sk3), end_time(sk1(sk3)))))),
% 0.22/0.53      inference(rewrite,[status(thm)],[])).
% 0.22/0.53  tff(427,plain,
% 0.22/0.53      ((selection_favors(efficient_producers, first_movers, end_time(sk1(sk3))) | (~greater(growth_rate(efficient_producers, end_time(sk1(sk3))), growth_rate(first_movers, end_time(sk1(sk3))))) | (~subpopulations(first_movers, efficient_producers, sk1(sk3), end_time(sk1(sk3)))) | (~environment(sk1(sk3)))) <=> (selection_favors(efficient_producers, first_movers, end_time(sk1(sk3))) | (~environment(sk1(sk3))) | (~greater(growth_rate(efficient_producers, end_time(sk1(sk3))), growth_rate(first_movers, end_time(sk1(sk3))))) | (~subpopulations(first_movers, efficient_producers, sk1(sk3), end_time(sk1(sk3)))))),
% 0.22/0.53      inference(rewrite,[status(thm)],[])).
% 0.22/0.53  tff(428,plain,
% 0.22/0.53      (((~![B: $i, D: $i, A: $i, C: $i] : (selection_favors(C, B, D) | (~greater(growth_rate(C, D), growth_rate(B, D))) | (~subpopulations(B, C, A, D)) | (~environment(A)))) | (selection_favors(efficient_producers, first_movers, end_time(sk1(sk3))) | (~greater(growth_rate(efficient_producers, end_time(sk1(sk3))), growth_rate(first_movers, end_time(sk1(sk3))))) | (~subpopulations(first_movers, efficient_producers, sk1(sk3), end_time(sk1(sk3)))) | (~environment(sk1(sk3))))) <=> ((~![B: $i, D: $i, A: $i, C: $i] : (selection_favors(C, B, D) | (~greater(growth_rate(C, D), growth_rate(B, D))) | (~subpopulations(B, C, A, D)) | (~environment(A)))) | (selection_favors(efficient_producers, first_movers, end_time(sk1(sk3))) | (~environment(sk1(sk3))) | (~greater(growth_rate(efficient_producers, end_time(sk1(sk3))), growth_rate(first_movers, end_time(sk1(sk3))))) | (~subpopulations(first_movers, efficient_producers, sk1(sk3), end_time(sk1(sk3))))))),
% 0.22/0.53      inference(monotonicity,[status(thm)],[427])).
% 0.22/0.53  tff(429,plain,
% 0.22/0.53      (((~![B: $i, D: $i, A: $i, C: $i] : (selection_favors(C, B, D) | (~greater(growth_rate(C, D), growth_rate(B, D))) | (~subpopulations(B, C, A, D)) | (~environment(A)))) | (selection_favors(efficient_producers, first_movers, end_time(sk1(sk3))) | (~greater(growth_rate(efficient_producers, end_time(sk1(sk3))), growth_rate(first_movers, end_time(sk1(sk3))))) | (~subpopulations(first_movers, efficient_producers, sk1(sk3), end_time(sk1(sk3)))) | (~environment(sk1(sk3))))) <=> ((~![B: $i, D: $i, A: $i, C: $i] : (selection_favors(C, B, D) | (~greater(growth_rate(C, D), growth_rate(B, D))) | (~subpopulations(B, C, A, D)) | (~environment(A)))) | selection_favors(efficient_producers, first_movers, end_time(sk1(sk3))) | (~environment(sk1(sk3))) | (~greater(growth_rate(efficient_producers, end_time(sk1(sk3))), growth_rate(first_movers, end_time(sk1(sk3))))) | (~subpopulations(first_movers, efficient_producers, sk1(sk3), end_time(sk1(sk3)))))),
% 0.22/0.54      inference(transitivity,[status(thm)],[428, 426])).
% 0.22/0.54  tff(430,plain,
% 0.22/0.54      ((~![B: $i, D: $i, A: $i, C: $i] : (selection_favors(C, B, D) | (~greater(growth_rate(C, D), growth_rate(B, D))) | (~subpopulations(B, C, A, D)) | (~environment(A)))) | (selection_favors(efficient_producers, first_movers, end_time(sk1(sk3))) | (~greater(growth_rate(efficient_producers, end_time(sk1(sk3))), growth_rate(first_movers, end_time(sk1(sk3))))) | (~subpopulations(first_movers, efficient_producers, sk1(sk3), end_time(sk1(sk3)))) | (~environment(sk1(sk3))))),
% 0.22/0.54      inference(quant_inst,[status(thm)],[])).
% 0.22/0.54  tff(431,plain,
% 0.22/0.54      ((~![B: $i, D: $i, A: $i, C: $i] : (selection_favors(C, B, D) | (~greater(growth_rate(C, D), growth_rate(B, D))) | (~subpopulations(B, C, A, D)) | (~environment(A)))) | selection_favors(efficient_producers, first_movers, end_time(sk1(sk3))) | (~environment(sk1(sk3))) | (~greater(growth_rate(efficient_producers, end_time(sk1(sk3))), growth_rate(first_movers, end_time(sk1(sk3))))) | (~subpopulations(first_movers, efficient_producers, sk1(sk3), end_time(sk1(sk3))))),
% 0.22/0.54      inference(modus_ponens,[status(thm)],[430, 429])).
% 0.22/0.54  tff(432,plain,
% 0.22/0.54      (~greater(growth_rate(efficient_producers, end_time(sk1(sk3))), growth_rate(first_movers, end_time(sk1(sk3))))),
% 0.22/0.54      inference(unit_resolution,[status(thm)],[431, 425, 57, 359, 415])).
% 0.22/0.54  tff(433,plain,
% 0.22/0.54      (^[B: $i, A: $i, C: $i] : refl(((~environment(A)) | greater(growth_rate(efficient_producers, C), growth_rate(first_movers, C)) | (~greater(C, B)) | (~subpopulations(first_movers, efficient_producers, A, C)) | (~(B = critical_point(A)))) <=> ((~environment(A)) | greater(growth_rate(efficient_producers, C), growth_rate(first_movers, C)) | (~greater(C, B)) | (~subpopulations(first_movers, efficient_producers, A, C)) | (~(B = critical_point(A)))))),
% 0.22/0.54      inference(bind,[status(th)],[])).
% 0.22/0.54  tff(434,plain,
% 0.22/0.54      (![B: $i, A: $i, C: $i] : ((~environment(A)) | greater(growth_rate(efficient_producers, C), growth_rate(first_movers, C)) | (~greater(C, B)) | (~subpopulations(first_movers, efficient_producers, A, C)) | (~(B = critical_point(A)))) <=> ![B: $i, A: $i, C: $i] : ((~environment(A)) | greater(growth_rate(efficient_producers, C), growth_rate(first_movers, C)) | (~greater(C, B)) | (~subpopulations(first_movers, efficient_producers, A, C)) | (~(B = critical_point(A))))),
% 0.22/0.54      inference(quant_intro,[status(thm)],[433])).
% 0.22/0.54  tff(435,plain,
% 0.22/0.54      (![B: $i, A: $i, C: $i] : ((~environment(A)) | greater(growth_rate(efficient_producers, C), growth_rate(first_movers, C)) | (~greater(C, B)) | (~subpopulations(first_movers, efficient_producers, A, C)) | (~(B = critical_point(A)))) <=> ![B: $i, A: $i, C: $i] : ((~environment(A)) | greater(growth_rate(efficient_producers, C), growth_rate(first_movers, C)) | (~greater(C, B)) | (~subpopulations(first_movers, efficient_producers, A, C)) | (~(B = critical_point(A))))),
% 0.22/0.54      inference(rewrite,[status(thm)],[])).
% 0.22/0.54  tff(436,plain,
% 0.22/0.54      (^[B: $i, A: $i, C: $i] : trans(monotonicity(trans(monotonicity(rewrite((((~environment(A)) | (~(B = critical_point(A)))) | (~subpopulations(first_movers, efficient_producers, A, C))) <=> ((~environment(A)) | (~subpopulations(first_movers, efficient_producers, A, C)) | (~(B = critical_point(A))))), (((((~environment(A)) | (~(B = critical_point(A)))) | (~subpopulations(first_movers, efficient_producers, A, C))) | (~greater(C, B))) <=> (((~environment(A)) | (~subpopulations(first_movers, efficient_producers, A, C)) | (~(B = critical_point(A)))) | (~greater(C, B))))), rewrite((((~environment(A)) | (~subpopulations(first_movers, efficient_producers, A, C)) | (~(B = critical_point(A)))) | (~greater(C, B))) <=> ((~environment(A)) | (~greater(C, B)) | (~subpopulations(first_movers, efficient_producers, A, C)) | (~(B = critical_point(A))))), (((((~environment(A)) | (~(B = critical_point(A)))) | (~subpopulations(first_movers, efficient_producers, A, C))) | (~greater(C, B))) <=> ((~environment(A)) | (~greater(C, B)) | (~subpopulations(first_movers, efficient_producers, A, C)) | (~(B = critical_point(A)))))), ((((((~environment(A)) | (~(B = critical_point(A)))) | (~subpopulations(first_movers, efficient_producers, A, C))) | (~greater(C, B))) | greater(growth_rate(efficient_producers, C), growth_rate(first_movers, C))) <=> (((~environment(A)) | (~greater(C, B)) | (~subpopulations(first_movers, efficient_producers, A, C)) | (~(B = critical_point(A)))) | greater(growth_rate(efficient_producers, C), growth_rate(first_movers, C))))), rewrite((((~environment(A)) | (~greater(C, B)) | (~subpopulations(first_movers, efficient_producers, A, C)) | (~(B = critical_point(A)))) | greater(growth_rate(efficient_producers, C), growth_rate(first_movers, C))) <=> ((~environment(A)) | greater(growth_rate(efficient_producers, C), growth_rate(first_movers, C)) | (~greater(C, B)) | (~subpopulations(first_movers, efficient_producers, A, C)) | (~(B = critical_point(A))))), ((((((~environment(A)) | (~(B = critical_point(A)))) | (~subpopulations(first_movers, efficient_producers, A, C))) | (~greater(C, B))) | greater(growth_rate(efficient_producers, C), growth_rate(first_movers, C))) <=> ((~environment(A)) | greater(growth_rate(efficient_producers, C), growth_rate(first_movers, C)) | (~greater(C, B)) | (~subpopulations(first_movers, efficient_producers, A, C)) | (~(B = critical_point(A))))))),
% 0.22/0.54      inference(bind,[status(th)],[])).
% 0.22/0.54  tff(437,plain,
% 0.22/0.54      (![B: $i, A: $i, C: $i] : (((((~environment(A)) | (~(B = critical_point(A)))) | (~subpopulations(first_movers, efficient_producers, A, C))) | (~greater(C, B))) | greater(growth_rate(efficient_producers, C), growth_rate(first_movers, C))) <=> ![B: $i, A: $i, C: $i] : ((~environment(A)) | greater(growth_rate(efficient_producers, C), growth_rate(first_movers, C)) | (~greater(C, B)) | (~subpopulations(first_movers, efficient_producers, A, C)) | (~(B = critical_point(A))))),
% 0.22/0.54      inference(quant_intro,[status(thm)],[436])).
% 0.22/0.54  tff(438,axiom,(![B: $i, A: $i, C: $i] : (((((~environment(A)) | (~(B = critical_point(A)))) | (~subpopulations(first_movers, efficient_producers, A, C))) | (~greater(C, B))) | greater(growth_rate(efficient_producers, C), growth_rate(first_movers, C)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','d1_56')).
% 0.22/0.54  tff(439,plain,
% 0.22/0.54      (![B: $i, A: $i, C: $i] : ((~environment(A)) | greater(growth_rate(efficient_producers, C), growth_rate(first_movers, C)) | (~greater(C, B)) | (~subpopulations(first_movers, efficient_producers, A, C)) | (~(B = critical_point(A))))),
% 0.22/0.54      inference(modus_ponens,[status(thm)],[438, 437])).
% 0.22/0.54  tff(440,plain,
% 0.22/0.54      (![B: $i, A: $i, C: $i] : ((~environment(A)) | greater(growth_rate(efficient_producers, C), growth_rate(first_movers, C)) | (~greater(C, B)) | (~subpopulations(first_movers, efficient_producers, A, C)) | (~(B = critical_point(A))))),
% 0.22/0.54      inference(modus_ponens,[status(thm)],[439, 435])).
% 0.22/0.54  tff(441,plain,(
% 0.22/0.54      ![B: $i, A: $i, C: $i] : ((~environment(A)) | greater(growth_rate(efficient_producers, C), growth_rate(first_movers, C)) | (~greater(C, B)) | (~subpopulations(first_movers, efficient_producers, A, C)) | (~(B = critical_point(A))))),
% 0.22/0.54      inference(skolemize,[status(sab)],[440])).
% 0.22/0.54  tff(442,plain,
% 0.22/0.54      (![B: $i, A: $i, C: $i] : ((~environment(A)) | greater(growth_rate(efficient_producers, C), growth_rate(first_movers, C)) | (~greater(C, B)) | (~subpopulations(first_movers, efficient_producers, A, C)) | (~(B = critical_point(A))))),
% 0.22/0.54      inference(modus_ponens,[status(thm)],[441, 434])).
% 0.22/0.54  tff(443,plain,
% 0.22/0.54      (((~![B: $i, A: $i, C: $i] : ((~environment(A)) | greater(growth_rate(efficient_producers, C), growth_rate(first_movers, C)) | (~greater(C, B)) | (~subpopulations(first_movers, efficient_producers, A, C)) | (~(B = critical_point(A))))) | ((~environment(sk1(sk3))) | (~greater(end_time(sk1(sk3)), start_time(sk1(sk3)))) | greater(growth_rate(efficient_producers, end_time(sk1(sk3))), growth_rate(first_movers, end_time(sk1(sk3)))) | (~subpopulations(first_movers, efficient_producers, sk1(sk3), end_time(sk1(sk3)))) | (~(start_time(sk1(sk3)) = critical_point(sk1(sk3)))))) <=> ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | greater(growth_rate(efficient_producers, C), growth_rate(first_movers, C)) | (~greater(C, B)) | (~subpopulations(first_movers, efficient_producers, A, C)) | (~(B = critical_point(A))))) | (~environment(sk1(sk3))) | (~greater(end_time(sk1(sk3)), start_time(sk1(sk3)))) | greater(growth_rate(efficient_producers, end_time(sk1(sk3))), growth_rate(first_movers, end_time(sk1(sk3)))) | (~subpopulations(first_movers, efficient_producers, sk1(sk3), end_time(sk1(sk3)))) | (~(start_time(sk1(sk3)) = critical_point(sk1(sk3)))))),
% 0.22/0.55      inference(rewrite,[status(thm)],[])).
% 0.22/0.55  tff(444,plain,
% 0.22/0.55      (((~environment(sk1(sk3))) | greater(growth_rate(efficient_producers, end_time(sk1(sk3))), growth_rate(first_movers, end_time(sk1(sk3)))) | (~greater(end_time(sk1(sk3)), start_time(sk1(sk3)))) | (~subpopulations(first_movers, efficient_producers, sk1(sk3), end_time(sk1(sk3)))) | (~(start_time(sk1(sk3)) = critical_point(sk1(sk3))))) <=> ((~environment(sk1(sk3))) | (~greater(end_time(sk1(sk3)), start_time(sk1(sk3)))) | greater(growth_rate(efficient_producers, end_time(sk1(sk3))), growth_rate(first_movers, end_time(sk1(sk3)))) | (~subpopulations(first_movers, efficient_producers, sk1(sk3), end_time(sk1(sk3)))) | (~(start_time(sk1(sk3)) = critical_point(sk1(sk3)))))),
% 0.22/0.55      inference(rewrite,[status(thm)],[])).
% 0.22/0.55  tff(445,plain,
% 0.22/0.55      (((~![B: $i, A: $i, C: $i] : ((~environment(A)) | greater(growth_rate(efficient_producers, C), growth_rate(first_movers, C)) | (~greater(C, B)) | (~subpopulations(first_movers, efficient_producers, A, C)) | (~(B = critical_point(A))))) | ((~environment(sk1(sk3))) | greater(growth_rate(efficient_producers, end_time(sk1(sk3))), growth_rate(first_movers, end_time(sk1(sk3)))) | (~greater(end_time(sk1(sk3)), start_time(sk1(sk3)))) | (~subpopulations(first_movers, efficient_producers, sk1(sk3), end_time(sk1(sk3)))) | (~(start_time(sk1(sk3)) = critical_point(sk1(sk3)))))) <=> ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | greater(growth_rate(efficient_producers, C), growth_rate(first_movers, C)) | (~greater(C, B)) | (~subpopulations(first_movers, efficient_producers, A, C)) | (~(B = critical_point(A))))) | ((~environment(sk1(sk3))) | (~greater(end_time(sk1(sk3)), start_time(sk1(sk3)))) | greater(growth_rate(efficient_producers, end_time(sk1(sk3))), growth_rate(first_movers, end_time(sk1(sk3)))) | (~subpopulations(first_movers, efficient_producers, sk1(sk3), end_time(sk1(sk3)))) | (~(start_time(sk1(sk3)) = critical_point(sk1(sk3))))))),
% 0.22/0.55      inference(monotonicity,[status(thm)],[444])).
% 0.22/0.55  tff(446,plain,
% 0.22/0.55      (((~![B: $i, A: $i, C: $i] : ((~environment(A)) | greater(growth_rate(efficient_producers, C), growth_rate(first_movers, C)) | (~greater(C, B)) | (~subpopulations(first_movers, efficient_producers, A, C)) | (~(B = critical_point(A))))) | ((~environment(sk1(sk3))) | greater(growth_rate(efficient_producers, end_time(sk1(sk3))), growth_rate(first_movers, end_time(sk1(sk3)))) | (~greater(end_time(sk1(sk3)), start_time(sk1(sk3)))) | (~subpopulations(first_movers, efficient_producers, sk1(sk3), end_time(sk1(sk3)))) | (~(start_time(sk1(sk3)) = critical_point(sk1(sk3)))))) <=> ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | greater(growth_rate(efficient_producers, C), growth_rate(first_movers, C)) | (~greater(C, B)) | (~subpopulations(first_movers, efficient_producers, A, C)) | (~(B = critical_point(A))))) | (~environment(sk1(sk3))) | (~greater(end_time(sk1(sk3)), start_time(sk1(sk3)))) | greater(growth_rate(efficient_producers, end_time(sk1(sk3))), growth_rate(first_movers, end_time(sk1(sk3)))) | (~subpopulations(first_movers, efficient_producers, sk1(sk3), end_time(sk1(sk3)))) | (~(start_time(sk1(sk3)) = critical_point(sk1(sk3)))))),
% 0.22/0.55      inference(transitivity,[status(thm)],[445, 443])).
% 0.22/0.55  tff(447,plain,
% 0.22/0.55      ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | greater(growth_rate(efficient_producers, C), growth_rate(first_movers, C)) | (~greater(C, B)) | (~subpopulations(first_movers, efficient_producers, A, C)) | (~(B = critical_point(A))))) | ((~environment(sk1(sk3))) | greater(growth_rate(efficient_producers, end_time(sk1(sk3))), growth_rate(first_movers, end_time(sk1(sk3)))) | (~greater(end_time(sk1(sk3)), start_time(sk1(sk3)))) | (~subpopulations(first_movers, efficient_producers, sk1(sk3), end_time(sk1(sk3)))) | (~(start_time(sk1(sk3)) = critical_point(sk1(sk3)))))),
% 0.22/0.55      inference(quant_inst,[status(thm)],[])).
% 0.22/0.55  tff(448,plain,
% 0.22/0.55      ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | greater(growth_rate(efficient_producers, C), growth_rate(first_movers, C)) | (~greater(C, B)) | (~subpopulations(first_movers, efficient_producers, A, C)) | (~(B = critical_point(A))))) | (~environment(sk1(sk3))) | (~greater(end_time(sk1(sk3)), start_time(sk1(sk3)))) | greater(growth_rate(efficient_producers, end_time(sk1(sk3))), growth_rate(first_movers, end_time(sk1(sk3)))) | (~subpopulations(first_movers, efficient_producers, sk1(sk3), end_time(sk1(sk3)))) | (~(start_time(sk1(sk3)) = critical_point(sk1(sk3))))),
% 0.22/0.55      inference(modus_ponens,[status(thm)],[447, 446])).
% 0.22/0.55  tff(449,plain,
% 0.22/0.55      ($false),
% 0.22/0.55      inference(unit_resolution,[status(thm)],[448, 442, 57, 245, 415, 432, 185])).
% 0.22/0.55  tff(450,plain,((~(critical_point(sk1(sk3)) = start_time(sk1(sk3)))) | (~greater_or_equal(end_time(sk1(sk3)), appear(efficient_producers, sk1(sk3)))) | (~greater(end_time(sk1(sk3)), critical_point(sk1(sk3))))), inference(lemma,lemma(discharge,[]))).
% 0.22/0.55  tff(451,plain,
% 0.22/0.55      (~(critical_point(sk1(sk3)) = start_time(sk1(sk3)))),
% 0.22/0.55      inference(unit_resolution,[status(thm)],[450, 183, 171])).
% 0.22/0.55  tff(452,plain,
% 0.22/0.55      (^[A: $i] : refl(((~environment(A)) | greater_or_equal(critical_point(A), start_time(A))) <=> ((~environment(A)) | greater_or_equal(critical_point(A), start_time(A))))),
% 0.22/0.55      inference(bind,[status(th)],[])).
% 0.22/0.55  tff(453,plain,
% 0.22/0.55      (![A: $i] : ((~environment(A)) | greater_or_equal(critical_point(A), start_time(A))) <=> ![A: $i] : ((~environment(A)) | greater_or_equal(critical_point(A), start_time(A)))),
% 0.22/0.55      inference(quant_intro,[status(thm)],[452])).
% 0.22/0.55  tff(454,plain,
% 0.22/0.55      (![A: $i] : ((~environment(A)) | greater_or_equal(critical_point(A), start_time(A))) <=> ![A: $i] : ((~environment(A)) | greater_or_equal(critical_point(A), start_time(A)))),
% 0.22/0.55      inference(rewrite,[status(thm)],[])).
% 0.22/0.55  tff(455,axiom,(![A: $i] : ((~environment(A)) | greater_or_equal(critical_point(A), start_time(A)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','mp_time_of_critical_point_49')).
% 0.22/0.55  tff(456,plain,
% 0.22/0.55      (![A: $i] : ((~environment(A)) | greater_or_equal(critical_point(A), start_time(A)))),
% 0.22/0.55      inference(modus_ponens,[status(thm)],[455, 454])).
% 0.22/0.55  tff(457,plain,(
% 0.22/0.55      ![A: $i] : ((~environment(A)) | greater_or_equal(critical_point(A), start_time(A)))),
% 0.22/0.55      inference(skolemize,[status(sab)],[456])).
% 0.22/0.55  tff(458,plain,
% 0.22/0.55      (![A: $i] : ((~environment(A)) | greater_or_equal(critical_point(A), start_time(A)))),
% 0.22/0.55      inference(modus_ponens,[status(thm)],[457, 453])).
% 0.22/0.55  tff(459,plain,
% 0.22/0.55      (((~![A: $i] : ((~environment(A)) | greater_or_equal(critical_point(A), start_time(A)))) | ((~environment(sk1(sk3))) | greater_or_equal(critical_point(sk1(sk3)), start_time(sk1(sk3))))) <=> ((~![A: $i] : ((~environment(A)) | greater_or_equal(critical_point(A), start_time(A)))) | (~environment(sk1(sk3))) | greater_or_equal(critical_point(sk1(sk3)), start_time(sk1(sk3))))),
% 0.22/0.55      inference(rewrite,[status(thm)],[])).
% 0.22/0.55  tff(460,plain,
% 0.22/0.55      ((~![A: $i] : ((~environment(A)) | greater_or_equal(critical_point(A), start_time(A)))) | ((~environment(sk1(sk3))) | greater_or_equal(critical_point(sk1(sk3)), start_time(sk1(sk3))))),
% 0.22/0.55      inference(quant_inst,[status(thm)],[])).
% 0.22/0.55  tff(461,plain,
% 0.22/0.55      ((~![A: $i] : ((~environment(A)) | greater_or_equal(critical_point(A), start_time(A)))) | (~environment(sk1(sk3))) | greater_or_equal(critical_point(sk1(sk3)), start_time(sk1(sk3)))),
% 0.22/0.56      inference(modus_ponens,[status(thm)],[460, 459])).
% 0.22/0.56  tff(462,plain,
% 0.22/0.56      (greater_or_equal(critical_point(sk1(sk3)), start_time(sk1(sk3)))),
% 0.22/0.56      inference(unit_resolution,[status(thm)],[461, 458, 57])).
% 0.22/0.56  tff(463,plain,
% 0.22/0.56      (((~![B: $i, A: $i] : (greater(A, B) | (A = B) | (~greater_or_equal(A, B)))) | (greater(critical_point(sk1(sk3)), start_time(sk1(sk3))) | (critical_point(sk1(sk3)) = start_time(sk1(sk3))) | (~greater_or_equal(critical_point(sk1(sk3)), start_time(sk1(sk3)))))) <=> ((~![B: $i, A: $i] : (greater(A, B) | (A = B) | (~greater_or_equal(A, B)))) | greater(critical_point(sk1(sk3)), start_time(sk1(sk3))) | (critical_point(sk1(sk3)) = start_time(sk1(sk3))) | (~greater_or_equal(critical_point(sk1(sk3)), start_time(sk1(sk3)))))),
% 0.22/0.56      inference(rewrite,[status(thm)],[])).
% 0.22/0.56  tff(464,plain,
% 0.22/0.56      ((~![B: $i, A: $i] : (greater(A, B) | (A = B) | (~greater_or_equal(A, B)))) | (greater(critical_point(sk1(sk3)), start_time(sk1(sk3))) | (critical_point(sk1(sk3)) = start_time(sk1(sk3))) | (~greater_or_equal(critical_point(sk1(sk3)), start_time(sk1(sk3)))))),
% 0.22/0.56      inference(quant_inst,[status(thm)],[])).
% 0.22/0.56  tff(465,plain,
% 0.22/0.56      ((~![B: $i, A: $i] : (greater(A, B) | (A = B) | (~greater_or_equal(A, B)))) | greater(critical_point(sk1(sk3)), start_time(sk1(sk3))) | (critical_point(sk1(sk3)) = start_time(sk1(sk3))) | (~greater_or_equal(critical_point(sk1(sk3)), start_time(sk1(sk3))))),
% 0.22/0.56      inference(modus_ponens,[status(thm)],[464, 463])).
% 0.22/0.56  tff(466,plain,
% 0.22/0.56      (greater(critical_point(sk1(sk3)), start_time(sk1(sk3))) | (critical_point(sk1(sk3)) = start_time(sk1(sk3)))),
% 0.22/0.56      inference(unit_resolution,[status(thm)],[465, 106, 462])).
% 0.22/0.56  tff(467,plain,
% 0.22/0.56      (greater(critical_point(sk1(sk3)), start_time(sk1(sk3)))),
% 0.22/0.56      inference(unit_resolution,[status(thm)],[466, 451])).
% 0.22/0.56  tff(468,plain,
% 0.22/0.56      (((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | ((~greater(end_time(sk1(sk3)), critical_point(sk1(sk3)))) | (~greater(critical_point(sk1(sk3)), start_time(sk1(sk3)))) | greater(end_time(sk1(sk3)), start_time(sk1(sk3))))) <=> ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (~greater(end_time(sk1(sk3)), critical_point(sk1(sk3)))) | (~greater(critical_point(sk1(sk3)), start_time(sk1(sk3)))) | greater(end_time(sk1(sk3)), start_time(sk1(sk3))))),
% 0.22/0.56      inference(rewrite,[status(thm)],[])).
% 0.22/0.56  tff(469,plain,
% 0.22/0.56      ((greater(end_time(sk1(sk3)), start_time(sk1(sk3))) | (~greater(critical_point(sk1(sk3)), start_time(sk1(sk3)))) | (~greater(end_time(sk1(sk3)), critical_point(sk1(sk3))))) <=> ((~greater(end_time(sk1(sk3)), critical_point(sk1(sk3)))) | (~greater(critical_point(sk1(sk3)), start_time(sk1(sk3)))) | greater(end_time(sk1(sk3)), start_time(sk1(sk3))))),
% 0.22/0.56      inference(rewrite,[status(thm)],[])).
% 0.22/0.56  tff(470,plain,
% 0.22/0.56      (((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(end_time(sk1(sk3)), start_time(sk1(sk3))) | (~greater(critical_point(sk1(sk3)), start_time(sk1(sk3)))) | (~greater(end_time(sk1(sk3)), critical_point(sk1(sk3)))))) <=> ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | ((~greater(end_time(sk1(sk3)), critical_point(sk1(sk3)))) | (~greater(critical_point(sk1(sk3)), start_time(sk1(sk3)))) | greater(end_time(sk1(sk3)), start_time(sk1(sk3)))))),
% 0.22/0.56      inference(monotonicity,[status(thm)],[469])).
% 0.22/0.56  tff(471,plain,
% 0.22/0.56      (((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(end_time(sk1(sk3)), start_time(sk1(sk3))) | (~greater(critical_point(sk1(sk3)), start_time(sk1(sk3)))) | (~greater(end_time(sk1(sk3)), critical_point(sk1(sk3)))))) <=> ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (~greater(end_time(sk1(sk3)), critical_point(sk1(sk3)))) | (~greater(critical_point(sk1(sk3)), start_time(sk1(sk3)))) | greater(end_time(sk1(sk3)), start_time(sk1(sk3))))),
% 0.22/0.56      inference(transitivity,[status(thm)],[470, 468])).
% 0.22/0.56  tff(472,plain,
% 0.22/0.56      ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(end_time(sk1(sk3)), start_time(sk1(sk3))) | (~greater(critical_point(sk1(sk3)), start_time(sk1(sk3)))) | (~greater(end_time(sk1(sk3)), critical_point(sk1(sk3)))))),
% 0.22/0.56      inference(quant_inst,[status(thm)],[])).
% 0.22/0.56  tff(473,plain,
% 0.22/0.56      ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (~greater(end_time(sk1(sk3)), critical_point(sk1(sk3)))) | (~greater(critical_point(sk1(sk3)), start_time(sk1(sk3)))) | greater(end_time(sk1(sk3)), start_time(sk1(sk3)))),
% 0.22/0.56      inference(modus_ponens,[status(thm)],[472, 471])).
% 0.22/0.56  tff(474,plain,
% 0.22/0.56      (greater(end_time(sk1(sk3)), start_time(sk1(sk3)))),
% 0.22/0.56      inference(unit_resolution,[status(thm)],[473, 123, 467, 171])).
% 0.22/0.56  tff(475,plain,
% 0.22/0.56      (((~![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))) | ((~greater(end_time(sk1(sk3)), start_time(sk1(sk3)))) | greater_or_equal(end_time(sk1(sk3)), start_time(sk1(sk3))))) <=> ((~![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))) | (~greater(end_time(sk1(sk3)), start_time(sk1(sk3)))) | greater_or_equal(end_time(sk1(sk3)), start_time(sk1(sk3))))),
% 0.22/0.56      inference(rewrite,[status(thm)],[])).
% 0.22/0.56  tff(476,plain,
% 0.22/0.56      ((~![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))) | ((~greater(end_time(sk1(sk3)), start_time(sk1(sk3)))) | greater_or_equal(end_time(sk1(sk3)), start_time(sk1(sk3))))),
% 0.22/0.56      inference(quant_inst,[status(thm)],[])).
% 0.22/0.56  tff(477,plain,
% 0.22/0.56      ((~![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))) | (~greater(end_time(sk1(sk3)), start_time(sk1(sk3)))) | greater_or_equal(end_time(sk1(sk3)), start_time(sk1(sk3)))),
% 0.22/0.56      inference(modus_ponens,[status(thm)],[476, 475])).
% 0.22/0.56  tff(478,plain,
% 0.22/0.56      (greater_or_equal(end_time(sk1(sk3)), start_time(sk1(sk3)))),
% 0.22/0.56      inference(unit_resolution,[status(thm)],[477, 9, 474])).
% 0.22/0.56  tff(479,plain,
% 0.22/0.56      (greater_or_equal(end_time(sk1(sk3)), end_time(sk1(sk3)))),
% 0.22/0.56      inference(unit_resolution,[status(thm)],[270, 474])).
% 0.22/0.56  tff(480,plain,
% 0.22/0.56      (in_environment(sk1(sk3), end_time(sk1(sk3)))),
% 0.22/0.56      inference(unit_resolution,[status(thm)],[287, 281, 57, 479, 478])).
% 0.22/0.56  tff(481,plain,
% 0.22/0.56      (subpopulation(first_movers, sk1(sk3), end_time(sk1(sk3)))),
% 0.22/0.56      inference(unit_resolution,[status(thm)],[305, 299, 57, 480])).
% 0.22/0.56  tff(482,plain,
% 0.22/0.56      (subpopulation(efficient_producers, sk1(sk3), end_time(sk1(sk3)))),
% 0.22/0.56      inference(unit_resolution,[status(thm)],[322, 316, 57, 480])).
% 0.22/0.56  tff(483,plain,
% 0.22/0.56      ((~in_environment(sk1(sk3), end_time(sk1(sk3)))) | greater(cardinality_at_time(efficient_producers, end_time(sk1(sk3))), zero)),
% 0.22/0.56      inference(unit_resolution,[status(thm)],[340, 334, 57, 183])).
% 0.22/0.56  tff(484,plain,
% 0.22/0.56      (greater(cardinality_at_time(efficient_producers, end_time(sk1(sk3))), zero)),
% 0.22/0.56      inference(unit_resolution,[status(thm)],[483, 480])).
% 0.22/0.56  tff(485,plain,
% 0.22/0.56      (~(cardinality_at_time(first_movers, end_time(sk1(sk3))) = zero)),
% 0.22/0.56      inference(unit_resolution,[status(thm)],[375, 369, 57, 359, 484, 482, 481])).
% 0.22/0.56  tff(486,plain,
% 0.22/0.56      (greater_or_equal(cardinality_at_time(first_movers, end_time(sk1(sk3))), zero)),
% 0.22/0.56      inference(unit_resolution,[status(thm)],[392, 386, 57, 480])).
% 0.22/0.56  tff(487,plain,
% 0.22/0.56      (greater(cardinality_at_time(first_movers, end_time(sk1(sk3))), zero)),
% 0.22/0.56      inference(unit_resolution,[status(thm)],[396, 106, 486, 485])).
% 0.22/0.56  tff(488,plain,
% 0.22/0.56      (subpopulations(first_movers, efficient_producers, sk1(sk3), end_time(sk1(sk3))) | (~greater(cardinality_at_time(first_movers, end_time(sk1(sk3))), zero))),
% 0.22/0.56      inference(unit_resolution,[status(thm)],[413, 407, 57, 480, 484])).
% 0.22/0.56  tff(489,plain,
% 0.22/0.56      (subpopulations(first_movers, efficient_producers, sk1(sk3), end_time(sk1(sk3)))),
% 0.22/0.56      inference(unit_resolution,[status(thm)],[488, 487])).
% 0.22/0.56  tff(490,plain,
% 0.22/0.56      (~greater(growth_rate(efficient_producers, end_time(sk1(sk3))), growth_rate(first_movers, end_time(sk1(sk3))))),
% 0.22/0.56      inference(unit_resolution,[status(thm)],[431, 425, 57, 359, 489])).
% 0.22/0.56  tff(491,plain,
% 0.22/0.56      (((~![B: $i, A: $i, C: $i] : ((~environment(A)) | greater(growth_rate(efficient_producers, C), growth_rate(first_movers, C)) | (~greater(C, B)) | (~subpopulations(first_movers, efficient_producers, A, C)) | (~(B = critical_point(A))))) | ((~environment(sk1(sk3))) | (~greater(end_time(sk1(sk3)), critical_point(sk1(sk3)))) | greater(growth_rate(efficient_producers, end_time(sk1(sk3))), growth_rate(first_movers, end_time(sk1(sk3)))) | (~subpopulations(first_movers, efficient_producers, sk1(sk3), end_time(sk1(sk3)))))) <=> ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | greater(growth_rate(efficient_producers, C), growth_rate(first_movers, C)) | (~greater(C, B)) | (~subpopulations(first_movers, efficient_producers, A, C)) | (~(B = critical_point(A))))) | (~environment(sk1(sk3))) | (~greater(end_time(sk1(sk3)), critical_point(sk1(sk3)))) | greater(growth_rate(efficient_producers, end_time(sk1(sk3))), growth_rate(first_movers, end_time(sk1(sk3)))) | (~subpopulations(first_movers, efficient_producers, sk1(sk3), end_time(sk1(sk3)))))),
% 0.22/0.57      inference(rewrite,[status(thm)],[])).
% 0.22/0.57  tff(492,plain,
% 0.22/0.57      (((~environment(sk1(sk3))) | greater(growth_rate(efficient_producers, end_time(sk1(sk3))), growth_rate(first_movers, end_time(sk1(sk3)))) | (~greater(end_time(sk1(sk3)), critical_point(sk1(sk3)))) | (~subpopulations(first_movers, efficient_producers, sk1(sk3), end_time(sk1(sk3)))) | $false) <=> ((~environment(sk1(sk3))) | (~greater(end_time(sk1(sk3)), critical_point(sk1(sk3)))) | greater(growth_rate(efficient_producers, end_time(sk1(sk3))), growth_rate(first_movers, end_time(sk1(sk3)))) | (~subpopulations(first_movers, efficient_producers, sk1(sk3), end_time(sk1(sk3)))))),
% 0.22/0.57      inference(rewrite,[status(thm)],[])).
% 0.22/0.57  tff(493,plain,
% 0.22/0.57      ((~$true) <=> $false),
% 0.22/0.57      inference(rewrite,[status(thm)],[])).
% 0.22/0.57  tff(494,plain,
% 0.22/0.57      ((critical_point(sk1(sk3)) = critical_point(sk1(sk3))) <=> $true),
% 0.22/0.57      inference(rewrite,[status(thm)],[])).
% 0.22/0.57  tff(495,plain,
% 0.22/0.57      ((~(critical_point(sk1(sk3)) = critical_point(sk1(sk3)))) <=> (~$true)),
% 0.22/0.57      inference(monotonicity,[status(thm)],[494])).
% 0.22/0.57  tff(496,plain,
% 0.22/0.57      ((~(critical_point(sk1(sk3)) = critical_point(sk1(sk3)))) <=> $false),
% 0.22/0.57      inference(transitivity,[status(thm)],[495, 493])).
% 0.22/0.57  tff(497,plain,
% 0.22/0.57      (((~environment(sk1(sk3))) | greater(growth_rate(efficient_producers, end_time(sk1(sk3))), growth_rate(first_movers, end_time(sk1(sk3)))) | (~greater(end_time(sk1(sk3)), critical_point(sk1(sk3)))) | (~subpopulations(first_movers, efficient_producers, sk1(sk3), end_time(sk1(sk3)))) | (~(critical_point(sk1(sk3)) = critical_point(sk1(sk3))))) <=> ((~environment(sk1(sk3))) | greater(growth_rate(efficient_producers, end_time(sk1(sk3))), growth_rate(first_movers, end_time(sk1(sk3)))) | (~greater(end_time(sk1(sk3)), critical_point(sk1(sk3)))) | (~subpopulations(first_movers, efficient_producers, sk1(sk3), end_time(sk1(sk3)))) | $false)),
% 0.22/0.57      inference(monotonicity,[status(thm)],[496])).
% 0.22/0.57  tff(498,plain,
% 0.22/0.57      (((~environment(sk1(sk3))) | greater(growth_rate(efficient_producers, end_time(sk1(sk3))), growth_rate(first_movers, end_time(sk1(sk3)))) | (~greater(end_time(sk1(sk3)), critical_point(sk1(sk3)))) | (~subpopulations(first_movers, efficient_producers, sk1(sk3), end_time(sk1(sk3)))) | (~(critical_point(sk1(sk3)) = critical_point(sk1(sk3))))) <=> ((~environment(sk1(sk3))) | (~greater(end_time(sk1(sk3)), critical_point(sk1(sk3)))) | greater(growth_rate(efficient_producers, end_time(sk1(sk3))), growth_rate(first_movers, end_time(sk1(sk3)))) | (~subpopulations(first_movers, efficient_producers, sk1(sk3), end_time(sk1(sk3)))))),
% 0.22/0.57      inference(transitivity,[status(thm)],[497, 492])).
% 0.22/0.57  tff(499,plain,
% 0.22/0.57      (((~![B: $i, A: $i, C: $i] : ((~environment(A)) | greater(growth_rate(efficient_producers, C), growth_rate(first_movers, C)) | (~greater(C, B)) | (~subpopulations(first_movers, efficient_producers, A, C)) | (~(B = critical_point(A))))) | ((~environment(sk1(sk3))) | greater(growth_rate(efficient_producers, end_time(sk1(sk3))), growth_rate(first_movers, end_time(sk1(sk3)))) | (~greater(end_time(sk1(sk3)), critical_point(sk1(sk3)))) | (~subpopulations(first_movers, efficient_producers, sk1(sk3), end_time(sk1(sk3)))) | (~(critical_point(sk1(sk3)) = critical_point(sk1(sk3)))))) <=> ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | greater(growth_rate(efficient_producers, C), growth_rate(first_movers, C)) | (~greater(C, B)) | (~subpopulations(first_movers, efficient_producers, A, C)) | (~(B = critical_point(A))))) | ((~environment(sk1(sk3))) | (~greater(end_time(sk1(sk3)), critical_point(sk1(sk3)))) | greater(growth_rate(efficient_producers, end_time(sk1(sk3))), growth_rate(first_movers, end_time(sk1(sk3)))) | (~subpopulations(first_movers, efficient_producers, sk1(sk3), end_time(sk1(sk3))))))),
% 0.22/0.57      inference(monotonicity,[status(thm)],[498])).
% 0.22/0.57  tff(500,plain,
% 0.22/0.57      (((~![B: $i, A: $i, C: $i] : ((~environment(A)) | greater(growth_rate(efficient_producers, C), growth_rate(first_movers, C)) | (~greater(C, B)) | (~subpopulations(first_movers, efficient_producers, A, C)) | (~(B = critical_point(A))))) | ((~environment(sk1(sk3))) | greater(growth_rate(efficient_producers, end_time(sk1(sk3))), growth_rate(first_movers, end_time(sk1(sk3)))) | (~greater(end_time(sk1(sk3)), critical_point(sk1(sk3)))) | (~subpopulations(first_movers, efficient_producers, sk1(sk3), end_time(sk1(sk3)))) | (~(critical_point(sk1(sk3)) = critical_point(sk1(sk3)))))) <=> ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | greater(growth_rate(efficient_producers, C), growth_rate(first_movers, C)) | (~greater(C, B)) | (~subpopulations(first_movers, efficient_producers, A, C)) | (~(B = critical_point(A))))) | (~environment(sk1(sk3))) | (~greater(end_time(sk1(sk3)), critical_point(sk1(sk3)))) | greater(growth_rate(efficient_producers, end_time(sk1(sk3))), growth_rate(first_movers, end_time(sk1(sk3)))) | (~subpopulations(first_movers, efficient_producers, sk1(sk3), end_time(sk1(sk3)))))),
% 0.22/0.57      inference(transitivity,[status(thm)],[499, 491])).
% 0.22/0.57  tff(501,plain,
% 0.22/0.57      ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | greater(growth_rate(efficient_producers, C), growth_rate(first_movers, C)) | (~greater(C, B)) | (~subpopulations(first_movers, efficient_producers, A, C)) | (~(B = critical_point(A))))) | ((~environment(sk1(sk3))) | greater(growth_rate(efficient_producers, end_time(sk1(sk3))), growth_rate(first_movers, end_time(sk1(sk3)))) | (~greater(end_time(sk1(sk3)), critical_point(sk1(sk3)))) | (~subpopulations(first_movers, efficient_producers, sk1(sk3), end_time(sk1(sk3)))) | (~(critical_point(sk1(sk3)) = critical_point(sk1(sk3)))))),
% 0.22/0.57      inference(quant_inst,[status(thm)],[])).
% 0.22/0.57  tff(502,plain,
% 0.22/0.57      ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | greater(growth_rate(efficient_producers, C), growth_rate(first_movers, C)) | (~greater(C, B)) | (~subpopulations(first_movers, efficient_producers, A, C)) | (~(B = critical_point(A))))) | (~environment(sk1(sk3))) | (~greater(end_time(sk1(sk3)), critical_point(sk1(sk3)))) | greater(growth_rate(efficient_producers, end_time(sk1(sk3))), growth_rate(first_movers, end_time(sk1(sk3)))) | (~subpopulations(first_movers, efficient_producers, sk1(sk3), end_time(sk1(sk3))))),
% 0.22/0.57      inference(modus_ponens,[status(thm)],[501, 500])).
% 0.22/0.57  tff(503,plain,
% 0.22/0.57      ($false),
% 0.22/0.57      inference(unit_resolution,[status(thm)],[502, 442, 57, 171, 489, 490])).
% 0.22/0.57  tff(504,plain,((~greater(end_time(sk1(sk3)), sk2(sk1(sk3), sk3))) | (~greater(sk2(sk1(sk3), sk3), appear(efficient_producers, sk1(sk3))))), inference(lemma,lemma(discharge,[]))).
% 0.22/0.57  tff(505,plain,
% 0.22/0.57      (~greater(end_time(sk1(sk3)), sk2(sk1(sk3), sk3))),
% 0.22/0.57      inference(unit_resolution,[status(thm)],[504, 163])).
% 0.22/0.57  tff(506,plain,
% 0.22/0.57      (end_time(sk1(sk3)) = sk2(sk1(sk3), sk3)),
% 0.22/0.57      inference(unit_resolution,[status(thm)],[237, 505])).
% 0.22/0.57  tff(507,plain,
% 0.22/0.57      (selection_favors(efficient_producers, first_movers, end_time(sk1(sk3))) <=> selection_favors(efficient_producers, first_movers, sk2(sk1(sk3), sk3))),
% 0.22/0.57      inference(monotonicity,[status(thm)],[506])).
% 0.22/0.57  tff(508,plain,
% 0.22/0.57      (selection_favors(efficient_producers, first_movers, sk2(sk1(sk3), sk3)) <=> selection_favors(efficient_producers, first_movers, end_time(sk1(sk3)))),
% 0.22/0.57      inference(symmetry,[status(thm)],[507])).
% 0.22/0.57  tff(509,assumption,(~selection_favors(efficient_producers, first_movers, sk2(sk1(sk3), sk3))), introduced(assumption)).
% 0.22/0.58  tff(510,plain,
% 0.22/0.58      (((~![B: $i, A: $i] : (subpopulation(first_movers, A, B) | (~in_environment(A, B)) | (~environment(A)))) | ((~environment(sk1(sk3))) | (~in_environment(sk1(sk3), sk2(sk1(sk3), sk3))) | subpopulation(first_movers, sk1(sk3), sk2(sk1(sk3), sk3)))) <=> ((~![B: $i, A: $i] : (subpopulation(first_movers, A, B) | (~in_environment(A, B)) | (~environment(A)))) | (~environment(sk1(sk3))) | (~in_environment(sk1(sk3), sk2(sk1(sk3), sk3))) | subpopulation(first_movers, sk1(sk3), sk2(sk1(sk3), sk3)))),
% 0.22/0.58      inference(rewrite,[status(thm)],[])).
% 0.22/0.58  tff(511,plain,
% 0.22/0.58      ((subpopulation(first_movers, sk1(sk3), sk2(sk1(sk3), sk3)) | (~in_environment(sk1(sk3), sk2(sk1(sk3), sk3))) | (~environment(sk1(sk3)))) <=> ((~environment(sk1(sk3))) | (~in_environment(sk1(sk3), sk2(sk1(sk3), sk3))) | subpopulation(first_movers, sk1(sk3), sk2(sk1(sk3), sk3)))),
% 0.22/0.58      inference(rewrite,[status(thm)],[])).
% 0.22/0.58  tff(512,plain,
% 0.22/0.58      (((~![B: $i, A: $i] : (subpopulation(first_movers, A, B) | (~in_environment(A, B)) | (~environment(A)))) | (subpopulation(first_movers, sk1(sk3), sk2(sk1(sk3), sk3)) | (~in_environment(sk1(sk3), sk2(sk1(sk3), sk3))) | (~environment(sk1(sk3))))) <=> ((~![B: $i, A: $i] : (subpopulation(first_movers, A, B) | (~in_environment(A, B)) | (~environment(A)))) | ((~environment(sk1(sk3))) | (~in_environment(sk1(sk3), sk2(sk1(sk3), sk3))) | subpopulation(first_movers, sk1(sk3), sk2(sk1(sk3), sk3))))),
% 0.22/0.58      inference(monotonicity,[status(thm)],[511])).
% 0.22/0.58  tff(513,plain,
% 0.22/0.58      (((~![B: $i, A: $i] : (subpopulation(first_movers, A, B) | (~in_environment(A, B)) | (~environment(A)))) | (subpopulation(first_movers, sk1(sk3), sk2(sk1(sk3), sk3)) | (~in_environment(sk1(sk3), sk2(sk1(sk3), sk3))) | (~environment(sk1(sk3))))) <=> ((~![B: $i, A: $i] : (subpopulation(first_movers, A, B) | (~in_environment(A, B)) | (~environment(A)))) | (~environment(sk1(sk3))) | (~in_environment(sk1(sk3), sk2(sk1(sk3), sk3))) | subpopulation(first_movers, sk1(sk3), sk2(sk1(sk3), sk3)))),
% 0.22/0.58      inference(transitivity,[status(thm)],[512, 510])).
% 0.22/0.58  tff(514,plain,
% 0.22/0.58      ((~![B: $i, A: $i] : (subpopulation(first_movers, A, B) | (~in_environment(A, B)) | (~environment(A)))) | (subpopulation(first_movers, sk1(sk3), sk2(sk1(sk3), sk3)) | (~in_environment(sk1(sk3), sk2(sk1(sk3), sk3))) | (~environment(sk1(sk3))))),
% 0.22/0.58      inference(quant_inst,[status(thm)],[])).
% 0.22/0.58  tff(515,plain,
% 0.22/0.58      ((~![B: $i, A: $i] : (subpopulation(first_movers, A, B) | (~in_environment(A, B)) | (~environment(A)))) | (~environment(sk1(sk3))) | (~in_environment(sk1(sk3), sk2(sk1(sk3), sk3))) | subpopulation(first_movers, sk1(sk3), sk2(sk1(sk3), sk3))),
% 0.22/0.58      inference(modus_ponens,[status(thm)],[514, 513])).
% 0.22/0.58  tff(516,plain,
% 0.22/0.58      (subpopulation(first_movers, sk1(sk3), sk2(sk1(sk3), sk3))),
% 0.22/0.58      inference(unit_resolution,[status(thm)],[515, 299, 57, 216])).
% 0.22/0.58  tff(517,plain,
% 0.22/0.58      (((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | subpopulation(efficient_producers, A, B))) | ((~environment(sk1(sk3))) | (~in_environment(sk1(sk3), sk2(sk1(sk3), sk3))) | subpopulation(efficient_producers, sk1(sk3), sk2(sk1(sk3), sk3)))) <=> ((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | subpopulation(efficient_producers, A, B))) | (~environment(sk1(sk3))) | (~in_environment(sk1(sk3), sk2(sk1(sk3), sk3))) | subpopulation(efficient_producers, sk1(sk3), sk2(sk1(sk3), sk3)))),
% 0.22/0.58      inference(rewrite,[status(thm)],[])).
% 0.22/0.58  tff(518,plain,
% 0.22/0.58      (((~in_environment(sk1(sk3), sk2(sk1(sk3), sk3))) | (~environment(sk1(sk3))) | subpopulation(efficient_producers, sk1(sk3), sk2(sk1(sk3), sk3))) <=> ((~environment(sk1(sk3))) | (~in_environment(sk1(sk3), sk2(sk1(sk3), sk3))) | subpopulation(efficient_producers, sk1(sk3), sk2(sk1(sk3), sk3)))),
% 0.22/0.58      inference(rewrite,[status(thm)],[])).
% 0.22/0.58  tff(519,plain,
% 0.22/0.58      (((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | subpopulation(efficient_producers, A, B))) | ((~in_environment(sk1(sk3), sk2(sk1(sk3), sk3))) | (~environment(sk1(sk3))) | subpopulation(efficient_producers, sk1(sk3), sk2(sk1(sk3), sk3)))) <=> ((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | subpopulation(efficient_producers, A, B))) | ((~environment(sk1(sk3))) | (~in_environment(sk1(sk3), sk2(sk1(sk3), sk3))) | subpopulation(efficient_producers, sk1(sk3), sk2(sk1(sk3), sk3))))),
% 0.22/0.58      inference(monotonicity,[status(thm)],[518])).
% 0.22/0.58  tff(520,plain,
% 0.22/0.58      (((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | subpopulation(efficient_producers, A, B))) | ((~in_environment(sk1(sk3), sk2(sk1(sk3), sk3))) | (~environment(sk1(sk3))) | subpopulation(efficient_producers, sk1(sk3), sk2(sk1(sk3), sk3)))) <=> ((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | subpopulation(efficient_producers, A, B))) | (~environment(sk1(sk3))) | (~in_environment(sk1(sk3), sk2(sk1(sk3), sk3))) | subpopulation(efficient_producers, sk1(sk3), sk2(sk1(sk3), sk3)))),
% 0.22/0.58      inference(transitivity,[status(thm)],[519, 517])).
% 0.22/0.58  tff(521,plain,
% 0.22/0.58      ((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | subpopulation(efficient_producers, A, B))) | ((~in_environment(sk1(sk3), sk2(sk1(sk3), sk3))) | (~environment(sk1(sk3))) | subpopulation(efficient_producers, sk1(sk3), sk2(sk1(sk3), sk3)))),
% 0.22/0.58      inference(quant_inst,[status(thm)],[])).
% 0.22/0.58  tff(522,plain,
% 0.22/0.58      ((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | subpopulation(efficient_producers, A, B))) | (~environment(sk1(sk3))) | (~in_environment(sk1(sk3), sk2(sk1(sk3), sk3))) | subpopulation(efficient_producers, sk1(sk3), sk2(sk1(sk3), sk3))),
% 0.22/0.58      inference(modus_ponens,[status(thm)],[521, 520])).
% 0.22/0.58  tff(523,plain,
% 0.22/0.58      (subpopulation(efficient_producers, sk1(sk3), sk2(sk1(sk3), sk3))),
% 0.22/0.58      inference(unit_resolution,[status(thm)],[522, 316, 57, 216])).
% 0.22/0.58  tff(524,plain,
% 0.22/0.58      (((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | greater(cardinality_at_time(efficient_producers, B), zero) | (~greater_or_equal(B, appear(efficient_producers, A))))) | ((~environment(sk1(sk3))) | (~in_environment(sk1(sk3), sk2(sk1(sk3), sk3))) | greater(cardinality_at_time(efficient_producers, sk2(sk1(sk3), sk3)), zero) | (~greater_or_equal(sk2(sk1(sk3), sk3), appear(efficient_producers, sk1(sk3)))))) <=> ((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | greater(cardinality_at_time(efficient_producers, B), zero) | (~greater_or_equal(B, appear(efficient_producers, A))))) | (~environment(sk1(sk3))) | (~in_environment(sk1(sk3), sk2(sk1(sk3), sk3))) | greater(cardinality_at_time(efficient_producers, sk2(sk1(sk3), sk3)), zero) | (~greater_or_equal(sk2(sk1(sk3), sk3), appear(efficient_producers, sk1(sk3)))))),
% 0.22/0.58      inference(rewrite,[status(thm)],[])).
% 0.22/0.58  tff(525,plain,
% 0.22/0.58      (((~in_environment(sk1(sk3), sk2(sk1(sk3), sk3))) | (~environment(sk1(sk3))) | greater(cardinality_at_time(efficient_producers, sk2(sk1(sk3), sk3)), zero) | (~greater_or_equal(sk2(sk1(sk3), sk3), appear(efficient_producers, sk1(sk3))))) <=> ((~environment(sk1(sk3))) | (~in_environment(sk1(sk3), sk2(sk1(sk3), sk3))) | greater(cardinality_at_time(efficient_producers, sk2(sk1(sk3), sk3)), zero) | (~greater_or_equal(sk2(sk1(sk3), sk3), appear(efficient_producers, sk1(sk3)))))),
% 0.22/0.58      inference(rewrite,[status(thm)],[])).
% 0.22/0.58  tff(526,plain,
% 0.22/0.58      (((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | greater(cardinality_at_time(efficient_producers, B), zero) | (~greater_or_equal(B, appear(efficient_producers, A))))) | ((~in_environment(sk1(sk3), sk2(sk1(sk3), sk3))) | (~environment(sk1(sk3))) | greater(cardinality_at_time(efficient_producers, sk2(sk1(sk3), sk3)), zero) | (~greater_or_equal(sk2(sk1(sk3), sk3), appear(efficient_producers, sk1(sk3)))))) <=> ((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | greater(cardinality_at_time(efficient_producers, B), zero) | (~greater_or_equal(B, appear(efficient_producers, A))))) | ((~environment(sk1(sk3))) | (~in_environment(sk1(sk3), sk2(sk1(sk3), sk3))) | greater(cardinality_at_time(efficient_producers, sk2(sk1(sk3), sk3)), zero) | (~greater_or_equal(sk2(sk1(sk3), sk3), appear(efficient_producers, sk1(sk3))))))),
% 0.22/0.58      inference(monotonicity,[status(thm)],[525])).
% 0.22/0.58  tff(527,plain,
% 0.22/0.58      (((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | greater(cardinality_at_time(efficient_producers, B), zero) | (~greater_or_equal(B, appear(efficient_producers, A))))) | ((~in_environment(sk1(sk3), sk2(sk1(sk3), sk3))) | (~environment(sk1(sk3))) | greater(cardinality_at_time(efficient_producers, sk2(sk1(sk3), sk3)), zero) | (~greater_or_equal(sk2(sk1(sk3), sk3), appear(efficient_producers, sk1(sk3)))))) <=> ((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | greater(cardinality_at_time(efficient_producers, B), zero) | (~greater_or_equal(B, appear(efficient_producers, A))))) | (~environment(sk1(sk3))) | (~in_environment(sk1(sk3), sk2(sk1(sk3), sk3))) | greater(cardinality_at_time(efficient_producers, sk2(sk1(sk3), sk3)), zero) | (~greater_or_equal(sk2(sk1(sk3), sk3), appear(efficient_producers, sk1(sk3)))))),
% 0.22/0.59      inference(transitivity,[status(thm)],[526, 524])).
% 0.22/0.59  tff(528,plain,
% 0.22/0.59      ((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | greater(cardinality_at_time(efficient_producers, B), zero) | (~greater_or_equal(B, appear(efficient_producers, A))))) | ((~in_environment(sk1(sk3), sk2(sk1(sk3), sk3))) | (~environment(sk1(sk3))) | greater(cardinality_at_time(efficient_producers, sk2(sk1(sk3), sk3)), zero) | (~greater_or_equal(sk2(sk1(sk3), sk3), appear(efficient_producers, sk1(sk3)))))),
% 0.22/0.59      inference(quant_inst,[status(thm)],[])).
% 0.22/0.59  tff(529,plain,
% 0.22/0.59      ((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | greater(cardinality_at_time(efficient_producers, B), zero) | (~greater_or_equal(B, appear(efficient_producers, A))))) | (~environment(sk1(sk3))) | (~in_environment(sk1(sk3), sk2(sk1(sk3), sk3))) | greater(cardinality_at_time(efficient_producers, sk2(sk1(sk3), sk3)), zero) | (~greater_or_equal(sk2(sk1(sk3), sk3), appear(efficient_producers, sk1(sk3))))),
% 0.22/0.59      inference(modus_ponens,[status(thm)],[528, 527])).
% 0.22/0.59  tff(530,plain,
% 0.22/0.59      (greater(cardinality_at_time(efficient_producers, sk2(sk1(sk3), sk3)), zero) | (~greater_or_equal(sk2(sk1(sk3), sk3), appear(efficient_producers, sk1(sk3))))),
% 0.22/0.59      inference(unit_resolution,[status(thm)],[529, 334, 57, 216])).
% 0.22/0.59  tff(531,plain,
% 0.22/0.59      (greater(cardinality_at_time(efficient_producers, sk2(sk1(sk3), sk3)), zero)),
% 0.22/0.59      inference(unit_resolution,[status(thm)],[530, 131])).
% 0.22/0.59  tff(532,plain,
% 0.22/0.59      (((~![B: $i, D: $i, A: $i, C: $i] : ((~environment(A)) | selection_favors(B, D, C) | (~(cardinality_at_time(D, C) = zero)) | (~greater(cardinality_at_time(B, C), zero)) | (~subpopulation(D, A, C)) | (~subpopulation(B, A, C)))) | ((~environment(sk1(sk3))) | (~greater(cardinality_at_time(efficient_producers, sk2(sk1(sk3), sk3)), zero)) | (~subpopulation(first_movers, sk1(sk3), sk2(sk1(sk3), sk3))) | (~subpopulation(efficient_producers, sk1(sk3), sk2(sk1(sk3), sk3))) | selection_favors(efficient_producers, first_movers, sk2(sk1(sk3), sk3)) | (~(cardinality_at_time(first_movers, sk2(sk1(sk3), sk3)) = zero)))) <=> ((~![B: $i, D: $i, A: $i, C: $i] : ((~environment(A)) | selection_favors(B, D, C) | (~(cardinality_at_time(D, C) = zero)) | (~greater(cardinality_at_time(B, C), zero)) | (~subpopulation(D, A, C)) | (~subpopulation(B, A, C)))) | (~environment(sk1(sk3))) | (~greater(cardinality_at_time(efficient_producers, sk2(sk1(sk3), sk3)), zero)) | (~subpopulation(first_movers, sk1(sk3), sk2(sk1(sk3), sk3))) | (~subpopulation(efficient_producers, sk1(sk3), sk2(sk1(sk3), sk3))) | selection_favors(efficient_producers, first_movers, sk2(sk1(sk3), sk3)) | (~(cardinality_at_time(first_movers, sk2(sk1(sk3), sk3)) = zero)))),
% 0.22/0.59      inference(rewrite,[status(thm)],[])).
% 0.22/0.59  tff(533,plain,
% 0.22/0.59      (((~environment(sk1(sk3))) | selection_favors(efficient_producers, first_movers, sk2(sk1(sk3), sk3)) | (~(cardinality_at_time(first_movers, sk2(sk1(sk3), sk3)) = zero)) | (~greater(cardinality_at_time(efficient_producers, sk2(sk1(sk3), sk3)), zero)) | (~subpopulation(first_movers, sk1(sk3), sk2(sk1(sk3), sk3))) | (~subpopulation(efficient_producers, sk1(sk3), sk2(sk1(sk3), sk3)))) <=> ((~environment(sk1(sk3))) | (~greater(cardinality_at_time(efficient_producers, sk2(sk1(sk3), sk3)), zero)) | (~subpopulation(first_movers, sk1(sk3), sk2(sk1(sk3), sk3))) | (~subpopulation(efficient_producers, sk1(sk3), sk2(sk1(sk3), sk3))) | selection_favors(efficient_producers, first_movers, sk2(sk1(sk3), sk3)) | (~(cardinality_at_time(first_movers, sk2(sk1(sk3), sk3)) = zero)))),
% 0.22/0.59      inference(rewrite,[status(thm)],[])).
% 0.22/0.59  tff(534,plain,
% 0.22/0.59      (((~![B: $i, D: $i, A: $i, C: $i] : ((~environment(A)) | selection_favors(B, D, C) | (~(cardinality_at_time(D, C) = zero)) | (~greater(cardinality_at_time(B, C), zero)) | (~subpopulation(D, A, C)) | (~subpopulation(B, A, C)))) | ((~environment(sk1(sk3))) | selection_favors(efficient_producers, first_movers, sk2(sk1(sk3), sk3)) | (~(cardinality_at_time(first_movers, sk2(sk1(sk3), sk3)) = zero)) | (~greater(cardinality_at_time(efficient_producers, sk2(sk1(sk3), sk3)), zero)) | (~subpopulation(first_movers, sk1(sk3), sk2(sk1(sk3), sk3))) | (~subpopulation(efficient_producers, sk1(sk3), sk2(sk1(sk3), sk3))))) <=> ((~![B: $i, D: $i, A: $i, C: $i] : ((~environment(A)) | selection_favors(B, D, C) | (~(cardinality_at_time(D, C) = zero)) | (~greater(cardinality_at_time(B, C), zero)) | (~subpopulation(D, A, C)) | (~subpopulation(B, A, C)))) | ((~environment(sk1(sk3))) | (~greater(cardinality_at_time(efficient_producers, sk2(sk1(sk3), sk3)), zero)) | (~subpopulation(first_movers, sk1(sk3), sk2(sk1(sk3), sk3))) | (~subpopulation(efficient_producers, sk1(sk3), sk2(sk1(sk3), sk3))) | selection_favors(efficient_producers, first_movers, sk2(sk1(sk3), sk3)) | (~(cardinality_at_time(first_movers, sk2(sk1(sk3), sk3)) = zero))))),
% 0.22/0.59      inference(monotonicity,[status(thm)],[533])).
% 0.22/0.59  tff(535,plain,
% 0.22/0.59      (((~![B: $i, D: $i, A: $i, C: $i] : ((~environment(A)) | selection_favors(B, D, C) | (~(cardinality_at_time(D, C) = zero)) | (~greater(cardinality_at_time(B, C), zero)) | (~subpopulation(D, A, C)) | (~subpopulation(B, A, C)))) | ((~environment(sk1(sk3))) | selection_favors(efficient_producers, first_movers, sk2(sk1(sk3), sk3)) | (~(cardinality_at_time(first_movers, sk2(sk1(sk3), sk3)) = zero)) | (~greater(cardinality_at_time(efficient_producers, sk2(sk1(sk3), sk3)), zero)) | (~subpopulation(first_movers, sk1(sk3), sk2(sk1(sk3), sk3))) | (~subpopulation(efficient_producers, sk1(sk3), sk2(sk1(sk3), sk3))))) <=> ((~![B: $i, D: $i, A: $i, C: $i] : ((~environment(A)) | selection_favors(B, D, C) | (~(cardinality_at_time(D, C) = zero)) | (~greater(cardinality_at_time(B, C), zero)) | (~subpopulation(D, A, C)) | (~subpopulation(B, A, C)))) | (~environment(sk1(sk3))) | (~greater(cardinality_at_time(efficient_producers, sk2(sk1(sk3), sk3)), zero)) | (~subpopulation(first_movers, sk1(sk3), sk2(sk1(sk3), sk3))) | (~subpopulation(efficient_producers, sk1(sk3), sk2(sk1(sk3), sk3))) | selection_favors(efficient_producers, first_movers, sk2(sk1(sk3), sk3)) | (~(cardinality_at_time(first_movers, sk2(sk1(sk3), sk3)) = zero)))),
% 0.22/0.59      inference(transitivity,[status(thm)],[534, 532])).
% 0.22/0.59  tff(536,plain,
% 0.22/0.59      ((~![B: $i, D: $i, A: $i, C: $i] : ((~environment(A)) | selection_favors(B, D, C) | (~(cardinality_at_time(D, C) = zero)) | (~greater(cardinality_at_time(B, C), zero)) | (~subpopulation(D, A, C)) | (~subpopulation(B, A, C)))) | ((~environment(sk1(sk3))) | selection_favors(efficient_producers, first_movers, sk2(sk1(sk3), sk3)) | (~(cardinality_at_time(first_movers, sk2(sk1(sk3), sk3)) = zero)) | (~greater(cardinality_at_time(efficient_producers, sk2(sk1(sk3), sk3)), zero)) | (~subpopulation(first_movers, sk1(sk3), sk2(sk1(sk3), sk3))) | (~subpopulation(efficient_producers, sk1(sk3), sk2(sk1(sk3), sk3))))),
% 0.22/0.59      inference(quant_inst,[status(thm)],[])).
% 0.22/0.59  tff(537,plain,
% 0.22/0.59      ((~![B: $i, D: $i, A: $i, C: $i] : ((~environment(A)) | selection_favors(B, D, C) | (~(cardinality_at_time(D, C) = zero)) | (~greater(cardinality_at_time(B, C), zero)) | (~subpopulation(D, A, C)) | (~subpopulation(B, A, C)))) | (~environment(sk1(sk3))) | (~greater(cardinality_at_time(efficient_producers, sk2(sk1(sk3), sk3)), zero)) | (~subpopulation(first_movers, sk1(sk3), sk2(sk1(sk3), sk3))) | (~subpopulation(efficient_producers, sk1(sk3), sk2(sk1(sk3), sk3))) | selection_favors(efficient_producers, first_movers, sk2(sk1(sk3), sk3)) | (~(cardinality_at_time(first_movers, sk2(sk1(sk3), sk3)) = zero))),
% 0.46/0.60      inference(modus_ponens,[status(thm)],[536, 535])).
% 0.46/0.60  tff(538,plain,
% 0.46/0.60      (selection_favors(efficient_producers, first_movers, sk2(sk1(sk3), sk3)) | (~(cardinality_at_time(first_movers, sk2(sk1(sk3), sk3)) = zero))),
% 0.46/0.60      inference(unit_resolution,[status(thm)],[537, 369, 57, 531, 523, 516])).
% 0.46/0.60  tff(539,plain,
% 0.46/0.60      (~(cardinality_at_time(first_movers, sk2(sk1(sk3), sk3)) = zero)),
% 0.46/0.60      inference(unit_resolution,[status(thm)],[538, 509])).
% 0.46/0.60  tff(540,plain,
% 0.46/0.60      (((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | greater_or_equal(cardinality_at_time(first_movers, B), zero))) | ((~environment(sk1(sk3))) | (~in_environment(sk1(sk3), sk2(sk1(sk3), sk3))) | greater_or_equal(cardinality_at_time(first_movers, sk2(sk1(sk3), sk3)), zero))) <=> ((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | greater_or_equal(cardinality_at_time(first_movers, B), zero))) | (~environment(sk1(sk3))) | (~in_environment(sk1(sk3), sk2(sk1(sk3), sk3))) | greater_or_equal(cardinality_at_time(first_movers, sk2(sk1(sk3), sk3)), zero))),
% 0.46/0.60      inference(rewrite,[status(thm)],[])).
% 0.46/0.60  tff(541,plain,
% 0.46/0.60      (((~in_environment(sk1(sk3), sk2(sk1(sk3), sk3))) | (~environment(sk1(sk3))) | greater_or_equal(cardinality_at_time(first_movers, sk2(sk1(sk3), sk3)), zero)) <=> ((~environment(sk1(sk3))) | (~in_environment(sk1(sk3), sk2(sk1(sk3), sk3))) | greater_or_equal(cardinality_at_time(first_movers, sk2(sk1(sk3), sk3)), zero))),
% 0.46/0.60      inference(rewrite,[status(thm)],[])).
% 0.46/0.60  tff(542,plain,
% 0.46/0.60      (((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | greater_or_equal(cardinality_at_time(first_movers, B), zero))) | ((~in_environment(sk1(sk3), sk2(sk1(sk3), sk3))) | (~environment(sk1(sk3))) | greater_or_equal(cardinality_at_time(first_movers, sk2(sk1(sk3), sk3)), zero))) <=> ((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | greater_or_equal(cardinality_at_time(first_movers, B), zero))) | ((~environment(sk1(sk3))) | (~in_environment(sk1(sk3), sk2(sk1(sk3), sk3))) | greater_or_equal(cardinality_at_time(first_movers, sk2(sk1(sk3), sk3)), zero)))),
% 0.46/0.60      inference(monotonicity,[status(thm)],[541])).
% 0.46/0.60  tff(543,plain,
% 0.46/0.60      (((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | greater_or_equal(cardinality_at_time(first_movers, B), zero))) | ((~in_environment(sk1(sk3), sk2(sk1(sk3), sk3))) | (~environment(sk1(sk3))) | greater_or_equal(cardinality_at_time(first_movers, sk2(sk1(sk3), sk3)), zero))) <=> ((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | greater_or_equal(cardinality_at_time(first_movers, B), zero))) | (~environment(sk1(sk3))) | (~in_environment(sk1(sk3), sk2(sk1(sk3), sk3))) | greater_or_equal(cardinality_at_time(first_movers, sk2(sk1(sk3), sk3)), zero))),
% 0.46/0.60      inference(transitivity,[status(thm)],[542, 540])).
% 0.46/0.60  tff(544,plain,
% 0.46/0.60      ((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | greater_or_equal(cardinality_at_time(first_movers, B), zero))) | ((~in_environment(sk1(sk3), sk2(sk1(sk3), sk3))) | (~environment(sk1(sk3))) | greater_or_equal(cardinality_at_time(first_movers, sk2(sk1(sk3), sk3)), zero))),
% 0.46/0.60      inference(quant_inst,[status(thm)],[])).
% 0.46/0.60  tff(545,plain,
% 0.46/0.60      ((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | greater_or_equal(cardinality_at_time(first_movers, B), zero))) | (~environment(sk1(sk3))) | (~in_environment(sk1(sk3), sk2(sk1(sk3), sk3))) | greater_or_equal(cardinality_at_time(first_movers, sk2(sk1(sk3), sk3)), zero)),
% 0.46/0.60      inference(modus_ponens,[status(thm)],[544, 543])).
% 0.46/0.60  tff(546,plain,
% 0.46/0.60      (greater_or_equal(cardinality_at_time(first_movers, sk2(sk1(sk3), sk3)), zero)),
% 0.46/0.60      inference(unit_resolution,[status(thm)],[545, 386, 57, 216])).
% 0.46/0.60  tff(547,plain,
% 0.46/0.60      (((~![B: $i, A: $i] : (greater(A, B) | (A = B) | (~greater_or_equal(A, B)))) | (greater(cardinality_at_time(first_movers, sk2(sk1(sk3), sk3)), zero) | (cardinality_at_time(first_movers, sk2(sk1(sk3), sk3)) = zero) | (~greater_or_equal(cardinality_at_time(first_movers, sk2(sk1(sk3), sk3)), zero)))) <=> ((~![B: $i, A: $i] : (greater(A, B) | (A = B) | (~greater_or_equal(A, B)))) | greater(cardinality_at_time(first_movers, sk2(sk1(sk3), sk3)), zero) | (cardinality_at_time(first_movers, sk2(sk1(sk3), sk3)) = zero) | (~greater_or_equal(cardinality_at_time(first_movers, sk2(sk1(sk3), sk3)), zero)))),
% 0.46/0.60      inference(rewrite,[status(thm)],[])).
% 0.46/0.60  tff(548,plain,
% 0.46/0.60      ((~![B: $i, A: $i] : (greater(A, B) | (A = B) | (~greater_or_equal(A, B)))) | (greater(cardinality_at_time(first_movers, sk2(sk1(sk3), sk3)), zero) | (cardinality_at_time(first_movers, sk2(sk1(sk3), sk3)) = zero) | (~greater_or_equal(cardinality_at_time(first_movers, sk2(sk1(sk3), sk3)), zero)))),
% 0.46/0.60      inference(quant_inst,[status(thm)],[])).
% 0.46/0.60  tff(549,plain,
% 0.46/0.60      ((~![B: $i, A: $i] : (greater(A, B) | (A = B) | (~greater_or_equal(A, B)))) | greater(cardinality_at_time(first_movers, sk2(sk1(sk3), sk3)), zero) | (cardinality_at_time(first_movers, sk2(sk1(sk3), sk3)) = zero) | (~greater_or_equal(cardinality_at_time(first_movers, sk2(sk1(sk3), sk3)), zero))),
% 0.46/0.60      inference(modus_ponens,[status(thm)],[548, 547])).
% 0.46/0.60  tff(550,plain,
% 0.46/0.60      (greater(cardinality_at_time(first_movers, sk2(sk1(sk3), sk3)), zero) | (cardinality_at_time(first_movers, sk2(sk1(sk3), sk3)) = zero)),
% 0.46/0.60      inference(unit_resolution,[status(thm)],[549, 106, 546])).
% 0.46/0.60  tff(551,plain,
% 0.46/0.60      (greater(cardinality_at_time(first_movers, sk2(sk1(sk3), sk3)), zero)),
% 0.46/0.60      inference(unit_resolution,[status(thm)],[550, 539])).
% 0.46/0.60  tff(552,plain,
% 0.46/0.60      (((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | subpopulations(first_movers, efficient_producers, A, B) | (~greater(cardinality_at_time(efficient_producers, B), zero)) | (~greater(cardinality_at_time(first_movers, B), zero)))) | ((~environment(sk1(sk3))) | (~in_environment(sk1(sk3), sk2(sk1(sk3), sk3))) | subpopulations(first_movers, efficient_producers, sk1(sk3), sk2(sk1(sk3), sk3)) | (~greater(cardinality_at_time(efficient_producers, sk2(sk1(sk3), sk3)), zero)) | (~greater(cardinality_at_time(first_movers, sk2(sk1(sk3), sk3)), zero)))) <=> ((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | subpopulations(first_movers, efficient_producers, A, B) | (~greater(cardinality_at_time(efficient_producers, B), zero)) | (~greater(cardinality_at_time(first_movers, B), zero)))) | (~environment(sk1(sk3))) | (~in_environment(sk1(sk3), sk2(sk1(sk3), sk3))) | subpopulations(first_movers, efficient_producers, sk1(sk3), sk2(sk1(sk3), sk3)) | (~greater(cardinality_at_time(efficient_producers, sk2(sk1(sk3), sk3)), zero)) | (~greater(cardinality_at_time(first_movers, sk2(sk1(sk3), sk3)), zero)))),
% 0.46/0.60      inference(rewrite,[status(thm)],[])).
% 0.46/0.60  tff(553,plain,
% 0.46/0.60      (((~in_environment(sk1(sk3), sk2(sk1(sk3), sk3))) | (~environment(sk1(sk3))) | subpopulations(first_movers, efficient_producers, sk1(sk3), sk2(sk1(sk3), sk3)) | (~greater(cardinality_at_time(efficient_producers, sk2(sk1(sk3), sk3)), zero)) | (~greater(cardinality_at_time(first_movers, sk2(sk1(sk3), sk3)), zero))) <=> ((~environment(sk1(sk3))) | (~in_environment(sk1(sk3), sk2(sk1(sk3), sk3))) | subpopulations(first_movers, efficient_producers, sk1(sk3), sk2(sk1(sk3), sk3)) | (~greater(cardinality_at_time(efficient_producers, sk2(sk1(sk3), sk3)), zero)) | (~greater(cardinality_at_time(first_movers, sk2(sk1(sk3), sk3)), zero)))),
% 0.46/0.60      inference(rewrite,[status(thm)],[])).
% 0.46/0.60  tff(554,plain,
% 0.46/0.60      (((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | subpopulations(first_movers, efficient_producers, A, B) | (~greater(cardinality_at_time(efficient_producers, B), zero)) | (~greater(cardinality_at_time(first_movers, B), zero)))) | ((~in_environment(sk1(sk3), sk2(sk1(sk3), sk3))) | (~environment(sk1(sk3))) | subpopulations(first_movers, efficient_producers, sk1(sk3), sk2(sk1(sk3), sk3)) | (~greater(cardinality_at_time(efficient_producers, sk2(sk1(sk3), sk3)), zero)) | (~greater(cardinality_at_time(first_movers, sk2(sk1(sk3), sk3)), zero)))) <=> ((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | subpopulations(first_movers, efficient_producers, A, B) | (~greater(cardinality_at_time(efficient_producers, B), zero)) | (~greater(cardinality_at_time(first_movers, B), zero)))) | ((~environment(sk1(sk3))) | (~in_environment(sk1(sk3), sk2(sk1(sk3), sk3))) | subpopulations(first_movers, efficient_producers, sk1(sk3), sk2(sk1(sk3), sk3)) | (~greater(cardinality_at_time(efficient_producers, sk2(sk1(sk3), sk3)), zero)) | (~greater(cardinality_at_time(first_movers, sk2(sk1(sk3), sk3)), zero))))),
% 0.46/0.60      inference(monotonicity,[status(thm)],[553])).
% 0.46/0.60  tff(555,plain,
% 0.46/0.60      (((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | subpopulations(first_movers, efficient_producers, A, B) | (~greater(cardinality_at_time(efficient_producers, B), zero)) | (~greater(cardinality_at_time(first_movers, B), zero)))) | ((~in_environment(sk1(sk3), sk2(sk1(sk3), sk3))) | (~environment(sk1(sk3))) | subpopulations(first_movers, efficient_producers, sk1(sk3), sk2(sk1(sk3), sk3)) | (~greater(cardinality_at_time(efficient_producers, sk2(sk1(sk3), sk3)), zero)) | (~greater(cardinality_at_time(first_movers, sk2(sk1(sk3), sk3)), zero)))) <=> ((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | subpopulations(first_movers, efficient_producers, A, B) | (~greater(cardinality_at_time(efficient_producers, B), zero)) | (~greater(cardinality_at_time(first_movers, B), zero)))) | (~environment(sk1(sk3))) | (~in_environment(sk1(sk3), sk2(sk1(sk3), sk3))) | subpopulations(first_movers, efficient_producers, sk1(sk3), sk2(sk1(sk3), sk3)) | (~greater(cardinality_at_time(efficient_producers, sk2(sk1(sk3), sk3)), zero)) | (~greater(cardinality_at_time(first_movers, sk2(sk1(sk3), sk3)), zero)))),
% 0.46/0.60      inference(transitivity,[status(thm)],[554, 552])).
% 0.46/0.60  tff(556,plain,
% 0.46/0.60      ((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | subpopulations(first_movers, efficient_producers, A, B) | (~greater(cardinality_at_time(efficient_producers, B), zero)) | (~greater(cardinality_at_time(first_movers, B), zero)))) | ((~in_environment(sk1(sk3), sk2(sk1(sk3), sk3))) | (~environment(sk1(sk3))) | subpopulations(first_movers, efficient_producers, sk1(sk3), sk2(sk1(sk3), sk3)) | (~greater(cardinality_at_time(efficient_producers, sk2(sk1(sk3), sk3)), zero)) | (~greater(cardinality_at_time(first_movers, sk2(sk1(sk3), sk3)), zero)))),
% 0.46/0.60      inference(quant_inst,[status(thm)],[])).
% 0.46/0.60  tff(557,plain,
% 0.46/0.60      ((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | subpopulations(first_movers, efficient_producers, A, B) | (~greater(cardinality_at_time(efficient_producers, B), zero)) | (~greater(cardinality_at_time(first_movers, B), zero)))) | (~environment(sk1(sk3))) | (~in_environment(sk1(sk3), sk2(sk1(sk3), sk3))) | subpopulations(first_movers, efficient_producers, sk1(sk3), sk2(sk1(sk3), sk3)) | (~greater(cardinality_at_time(efficient_producers, sk2(sk1(sk3), sk3)), zero)) | (~greater(cardinality_at_time(first_movers, sk2(sk1(sk3), sk3)), zero))),
% 0.46/0.60      inference(modus_ponens,[status(thm)],[556, 555])).
% 0.46/0.60  tff(558,plain,
% 0.46/0.60      (subpopulations(first_movers, efficient_producers, sk1(sk3), sk2(sk1(sk3), sk3)) | (~greater(cardinality_at_time(efficient_producers, sk2(sk1(sk3), sk3)), zero)) | (~greater(cardinality_at_time(first_movers, sk2(sk1(sk3), sk3)), zero))),
% 0.46/0.60      inference(unit_resolution,[status(thm)],[557, 407, 57, 216])).
% 0.46/0.60  tff(559,plain,
% 0.46/0.60      (subpopulations(first_movers, efficient_producers, sk1(sk3), sk2(sk1(sk3), sk3)) | (~greater(cardinality_at_time(first_movers, sk2(sk1(sk3), sk3)), zero))),
% 0.46/0.60      inference(unit_resolution,[status(thm)],[558, 531])).
% 0.46/0.60  tff(560,plain,
% 0.46/0.60      (subpopulations(first_movers, efficient_producers, sk1(sk3), sk2(sk1(sk3), sk3))),
% 0.46/0.60      inference(unit_resolution,[status(thm)],[559, 551])).
% 0.46/0.60  tff(561,plain,
% 0.46/0.60      (((~![B: $i, D: $i, A: $i, C: $i] : (selection_favors(C, B, D) | (~greater(growth_rate(C, D), growth_rate(B, D))) | (~subpopulations(B, C, A, D)) | (~environment(A)))) | ((~environment(sk1(sk3))) | selection_favors(efficient_producers, first_movers, sk2(sk1(sk3), sk3)) | (~subpopulations(first_movers, efficient_producers, sk1(sk3), sk2(sk1(sk3), sk3))) | (~greater(growth_rate(efficient_producers, sk2(sk1(sk3), sk3)), growth_rate(first_movers, sk2(sk1(sk3), sk3)))))) <=> ((~![B: $i, D: $i, A: $i, C: $i] : (selection_favors(C, B, D) | (~greater(growth_rate(C, D), growth_rate(B, D))) | (~subpopulations(B, C, A, D)) | (~environment(A)))) | (~environment(sk1(sk3))) | selection_favors(efficient_producers, first_movers, sk2(sk1(sk3), sk3)) | (~subpopulations(first_movers, efficient_producers, sk1(sk3), sk2(sk1(sk3), sk3))) | (~greater(growth_rate(efficient_producers, sk2(sk1(sk3), sk3)), growth_rate(first_movers, sk2(sk1(sk3), sk3)))))),
% 0.46/0.61      inference(rewrite,[status(thm)],[])).
% 0.46/0.61  tff(562,plain,
% 0.46/0.61      ((selection_favors(efficient_producers, first_movers, sk2(sk1(sk3), sk3)) | (~greater(growth_rate(efficient_producers, sk2(sk1(sk3), sk3)), growth_rate(first_movers, sk2(sk1(sk3), sk3)))) | (~subpopulations(first_movers, efficient_producers, sk1(sk3), sk2(sk1(sk3), sk3))) | (~environment(sk1(sk3)))) <=> ((~environment(sk1(sk3))) | selection_favors(efficient_producers, first_movers, sk2(sk1(sk3), sk3)) | (~subpopulations(first_movers, efficient_producers, sk1(sk3), sk2(sk1(sk3), sk3))) | (~greater(growth_rate(efficient_producers, sk2(sk1(sk3), sk3)), growth_rate(first_movers, sk2(sk1(sk3), sk3)))))),
% 0.46/0.61      inference(rewrite,[status(thm)],[])).
% 0.46/0.61  tff(563,plain,
% 0.46/0.61      (((~![B: $i, D: $i, A: $i, C: $i] : (selection_favors(C, B, D) | (~greater(growth_rate(C, D), growth_rate(B, D))) | (~subpopulations(B, C, A, D)) | (~environment(A)))) | (selection_favors(efficient_producers, first_movers, sk2(sk1(sk3), sk3)) | (~greater(growth_rate(efficient_producers, sk2(sk1(sk3), sk3)), growth_rate(first_movers, sk2(sk1(sk3), sk3)))) | (~subpopulations(first_movers, efficient_producers, sk1(sk3), sk2(sk1(sk3), sk3))) | (~environment(sk1(sk3))))) <=> ((~![B: $i, D: $i, A: $i, C: $i] : (selection_favors(C, B, D) | (~greater(growth_rate(C, D), growth_rate(B, D))) | (~subpopulations(B, C, A, D)) | (~environment(A)))) | ((~environment(sk1(sk3))) | selection_favors(efficient_producers, first_movers, sk2(sk1(sk3), sk3)) | (~subpopulations(first_movers, efficient_producers, sk1(sk3), sk2(sk1(sk3), sk3))) | (~greater(growth_rate(efficient_producers, sk2(sk1(sk3), sk3)), growth_rate(first_movers, sk2(sk1(sk3), sk3))))))),
% 0.46/0.61      inference(monotonicity,[status(thm)],[562])).
% 0.46/0.61  tff(564,plain,
% 0.46/0.61      (((~![B: $i, D: $i, A: $i, C: $i] : (selection_favors(C, B, D) | (~greater(growth_rate(C, D), growth_rate(B, D))) | (~subpopulations(B, C, A, D)) | (~environment(A)))) | (selection_favors(efficient_producers, first_movers, sk2(sk1(sk3), sk3)) | (~greater(growth_rate(efficient_producers, sk2(sk1(sk3), sk3)), growth_rate(first_movers, sk2(sk1(sk3), sk3)))) | (~subpopulations(first_movers, efficient_producers, sk1(sk3), sk2(sk1(sk3), sk3))) | (~environment(sk1(sk3))))) <=> ((~![B: $i, D: $i, A: $i, C: $i] : (selection_favors(C, B, D) | (~greater(growth_rate(C, D), growth_rate(B, D))) | (~subpopulations(B, C, A, D)) | (~environment(A)))) | (~environment(sk1(sk3))) | selection_favors(efficient_producers, first_movers, sk2(sk1(sk3), sk3)) | (~subpopulations(first_movers, efficient_producers, sk1(sk3), sk2(sk1(sk3), sk3))) | (~greater(growth_rate(efficient_producers, sk2(sk1(sk3), sk3)), growth_rate(first_movers, sk2(sk1(sk3), sk3)))))),
% 0.46/0.61      inference(transitivity,[status(thm)],[563, 561])).
% 0.46/0.61  tff(565,plain,
% 0.46/0.61      ((~![B: $i, D: $i, A: $i, C: $i] : (selection_favors(C, B, D) | (~greater(growth_rate(C, D), growth_rate(B, D))) | (~subpopulations(B, C, A, D)) | (~environment(A)))) | (selection_favors(efficient_producers, first_movers, sk2(sk1(sk3), sk3)) | (~greater(growth_rate(efficient_producers, sk2(sk1(sk3), sk3)), growth_rate(first_movers, sk2(sk1(sk3), sk3)))) | (~subpopulations(first_movers, efficient_producers, sk1(sk3), sk2(sk1(sk3), sk3))) | (~environment(sk1(sk3))))),
% 0.46/0.61      inference(quant_inst,[status(thm)],[])).
% 0.46/0.61  tff(566,plain,
% 0.46/0.61      ((~![B: $i, D: $i, A: $i, C: $i] : (selection_favors(C, B, D) | (~greater(growth_rate(C, D), growth_rate(B, D))) | (~subpopulations(B, C, A, D)) | (~environment(A)))) | (~environment(sk1(sk3))) | selection_favors(efficient_producers, first_movers, sk2(sk1(sk3), sk3)) | (~subpopulations(first_movers, efficient_producers, sk1(sk3), sk2(sk1(sk3), sk3))) | (~greater(growth_rate(efficient_producers, sk2(sk1(sk3), sk3)), growth_rate(first_movers, sk2(sk1(sk3), sk3))))),
% 0.46/0.61      inference(modus_ponens,[status(thm)],[565, 564])).
% 0.46/0.61  tff(567,plain,
% 0.46/0.61      (~greater(growth_rate(efficient_producers, sk2(sk1(sk3), sk3)), growth_rate(first_movers, sk2(sk1(sk3), sk3)))),
% 0.46/0.61      inference(unit_resolution,[status(thm)],[566, 425, 57, 560, 509])).
% 0.46/0.61  tff(568,plain,
% 0.46/0.61      (((~![B: $i, A: $i, C: $i] : ((~environment(A)) | greater(growth_rate(efficient_producers, C), growth_rate(first_movers, C)) | (~greater(C, B)) | (~subpopulations(first_movers, efficient_producers, A, C)) | (~(B = critical_point(A))))) | ((~environment(sk1(sk3))) | (~greater(sk2(sk1(sk3), sk3), critical_point(sk1(sk3)))) | (~subpopulations(first_movers, efficient_producers, sk1(sk3), sk2(sk1(sk3), sk3))) | greater(growth_rate(efficient_producers, sk2(sk1(sk3), sk3)), growth_rate(first_movers, sk2(sk1(sk3), sk3))))) <=> ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | greater(growth_rate(efficient_producers, C), growth_rate(first_movers, C)) | (~greater(C, B)) | (~subpopulations(first_movers, efficient_producers, A, C)) | (~(B = critical_point(A))))) | (~environment(sk1(sk3))) | (~greater(sk2(sk1(sk3), sk3), critical_point(sk1(sk3)))) | (~subpopulations(first_movers, efficient_producers, sk1(sk3), sk2(sk1(sk3), sk3))) | greater(growth_rate(efficient_producers, sk2(sk1(sk3), sk3)), growth_rate(first_movers, sk2(sk1(sk3), sk3))))),
% 0.46/0.61      inference(rewrite,[status(thm)],[])).
% 0.46/0.61  tff(569,plain,
% 0.46/0.61      (((~environment(sk1(sk3))) | greater(growth_rate(efficient_producers, sk2(sk1(sk3), sk3)), growth_rate(first_movers, sk2(sk1(sk3), sk3))) | (~greater(sk2(sk1(sk3), sk3), critical_point(sk1(sk3)))) | (~subpopulations(first_movers, efficient_producers, sk1(sk3), sk2(sk1(sk3), sk3))) | $false) <=> ((~environment(sk1(sk3))) | (~greater(sk2(sk1(sk3), sk3), critical_point(sk1(sk3)))) | (~subpopulations(first_movers, efficient_producers, sk1(sk3), sk2(sk1(sk3), sk3))) | greater(growth_rate(efficient_producers, sk2(sk1(sk3), sk3)), growth_rate(first_movers, sk2(sk1(sk3), sk3))))),
% 0.46/0.61      inference(rewrite,[status(thm)],[])).
% 0.46/0.61  tff(570,plain,
% 0.46/0.61      (((~environment(sk1(sk3))) | greater(growth_rate(efficient_producers, sk2(sk1(sk3), sk3)), growth_rate(first_movers, sk2(sk1(sk3), sk3))) | (~greater(sk2(sk1(sk3), sk3), critical_point(sk1(sk3)))) | (~subpopulations(first_movers, efficient_producers, sk1(sk3), sk2(sk1(sk3), sk3))) | (~(critical_point(sk1(sk3)) = critical_point(sk1(sk3))))) <=> ((~environment(sk1(sk3))) | greater(growth_rate(efficient_producers, sk2(sk1(sk3), sk3)), growth_rate(first_movers, sk2(sk1(sk3), sk3))) | (~greater(sk2(sk1(sk3), sk3), critical_point(sk1(sk3)))) | (~subpopulations(first_movers, efficient_producers, sk1(sk3), sk2(sk1(sk3), sk3))) | $false)),
% 0.46/0.61      inference(monotonicity,[status(thm)],[496])).
% 0.46/0.61  tff(571,plain,
% 0.46/0.61      (((~environment(sk1(sk3))) | greater(growth_rate(efficient_producers, sk2(sk1(sk3), sk3)), growth_rate(first_movers, sk2(sk1(sk3), sk3))) | (~greater(sk2(sk1(sk3), sk3), critical_point(sk1(sk3)))) | (~subpopulations(first_movers, efficient_producers, sk1(sk3), sk2(sk1(sk3), sk3))) | (~(critical_point(sk1(sk3)) = critical_point(sk1(sk3))))) <=> ((~environment(sk1(sk3))) | (~greater(sk2(sk1(sk3), sk3), critical_point(sk1(sk3)))) | (~subpopulations(first_movers, efficient_producers, sk1(sk3), sk2(sk1(sk3), sk3))) | greater(growth_rate(efficient_producers, sk2(sk1(sk3), sk3)), growth_rate(first_movers, sk2(sk1(sk3), sk3))))),
% 0.46/0.61      inference(transitivity,[status(thm)],[570, 569])).
% 0.46/0.61  tff(572,plain,
% 0.46/0.61      (((~![B: $i, A: $i, C: $i] : ((~environment(A)) | greater(growth_rate(efficient_producers, C), growth_rate(first_movers, C)) | (~greater(C, B)) | (~subpopulations(first_movers, efficient_producers, A, C)) | (~(B = critical_point(A))))) | ((~environment(sk1(sk3))) | greater(growth_rate(efficient_producers, sk2(sk1(sk3), sk3)), growth_rate(first_movers, sk2(sk1(sk3), sk3))) | (~greater(sk2(sk1(sk3), sk3), critical_point(sk1(sk3)))) | (~subpopulations(first_movers, efficient_producers, sk1(sk3), sk2(sk1(sk3), sk3))) | (~(critical_point(sk1(sk3)) = critical_point(sk1(sk3)))))) <=> ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | greater(growth_rate(efficient_producers, C), growth_rate(first_movers, C)) | (~greater(C, B)) | (~subpopulations(first_movers, efficient_producers, A, C)) | (~(B = critical_point(A))))) | ((~environment(sk1(sk3))) | (~greater(sk2(sk1(sk3), sk3), critical_point(sk1(sk3)))) | (~subpopulations(first_movers, efficient_producers, sk1(sk3), sk2(sk1(sk3), sk3))) | greater(growth_rate(efficient_producers, sk2(sk1(sk3), sk3)), growth_rate(first_movers, sk2(sk1(sk3), sk3)))))),
% 0.48/0.62      inference(monotonicity,[status(thm)],[571])).
% 0.48/0.62  tff(573,plain,
% 0.48/0.62      (((~![B: $i, A: $i, C: $i] : ((~environment(A)) | greater(growth_rate(efficient_producers, C), growth_rate(first_movers, C)) | (~greater(C, B)) | (~subpopulations(first_movers, efficient_producers, A, C)) | (~(B = critical_point(A))))) | ((~environment(sk1(sk3))) | greater(growth_rate(efficient_producers, sk2(sk1(sk3), sk3)), growth_rate(first_movers, sk2(sk1(sk3), sk3))) | (~greater(sk2(sk1(sk3), sk3), critical_point(sk1(sk3)))) | (~subpopulations(first_movers, efficient_producers, sk1(sk3), sk2(sk1(sk3), sk3))) | (~(critical_point(sk1(sk3)) = critical_point(sk1(sk3)))))) <=> ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | greater(growth_rate(efficient_producers, C), growth_rate(first_movers, C)) | (~greater(C, B)) | (~subpopulations(first_movers, efficient_producers, A, C)) | (~(B = critical_point(A))))) | (~environment(sk1(sk3))) | (~greater(sk2(sk1(sk3), sk3), critical_point(sk1(sk3)))) | (~subpopulations(first_movers, efficient_producers, sk1(sk3), sk2(sk1(sk3), sk3))) | greater(growth_rate(efficient_producers, sk2(sk1(sk3), sk3)), growth_rate(first_movers, sk2(sk1(sk3), sk3))))),
% 0.48/0.62      inference(transitivity,[status(thm)],[572, 568])).
% 0.48/0.62  tff(574,plain,
% 0.48/0.62      ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | greater(growth_rate(efficient_producers, C), growth_rate(first_movers, C)) | (~greater(C, B)) | (~subpopulations(first_movers, efficient_producers, A, C)) | (~(B = critical_point(A))))) | ((~environment(sk1(sk3))) | greater(growth_rate(efficient_producers, sk2(sk1(sk3), sk3)), growth_rate(first_movers, sk2(sk1(sk3), sk3))) | (~greater(sk2(sk1(sk3), sk3), critical_point(sk1(sk3)))) | (~subpopulations(first_movers, efficient_producers, sk1(sk3), sk2(sk1(sk3), sk3))) | (~(critical_point(sk1(sk3)) = critical_point(sk1(sk3)))))),
% 0.48/0.62      inference(quant_inst,[status(thm)],[])).
% 0.48/0.62  tff(575,plain,
% 0.48/0.62      ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | greater(growth_rate(efficient_producers, C), growth_rate(first_movers, C)) | (~greater(C, B)) | (~subpopulations(first_movers, efficient_producers, A, C)) | (~(B = critical_point(A))))) | (~environment(sk1(sk3))) | (~greater(sk2(sk1(sk3), sk3), critical_point(sk1(sk3)))) | (~subpopulations(first_movers, efficient_producers, sk1(sk3), sk2(sk1(sk3), sk3))) | greater(growth_rate(efficient_producers, sk2(sk1(sk3), sk3)), growth_rate(first_movers, sk2(sk1(sk3), sk3)))),
% 0.48/0.62      inference(modus_ponens,[status(thm)],[574, 573])).
% 0.48/0.62  tff(576,plain,
% 0.48/0.62      ($false),
% 0.48/0.62      inference(unit_resolution,[status(thm)],[575, 442, 57, 77, 560, 567])).
% 0.48/0.62  tff(577,plain,(selection_favors(efficient_producers, first_movers, sk2(sk1(sk3), sk3))), inference(lemma,lemma(discharge,[]))).
% 0.48/0.62  tff(578,plain,
% 0.48/0.62      (selection_favors(efficient_producers, first_movers, end_time(sk1(sk3)))),
% 0.48/0.62      inference(modus_ponens,[status(thm)],[577, 508])).
% 0.48/0.62  tff(579,plain,
% 0.48/0.62      ($false),
% 0.48/0.62      inference(unit_resolution,[status(thm)],[359, 578])).
% 0.48/0.62  % SZS output end Proof
%------------------------------------------------------------------------------