TSTP Solution File: MGT039-1 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : MGT039-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n027.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 0.21s 0.38s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : MGT039-1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.34 % Computer : n027.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Sep 2 03:05:19 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.34 Usage: tptp [options] [-file:]file
% 0.13/0.34 -h, -? prints this message.
% 0.13/0.34 -smt2 print SMT-LIB2 benchmark.
% 0.13/0.34 -m, -model generate model.
% 0.13/0.34 -p, -proof generate proof.
% 0.13/0.34 -c, -core generate unsat core of named formulas.
% 0.13/0.34 -st, -statistics display statistics.
% 0.13/0.34 -t:timeout set timeout (in second).
% 0.13/0.34 -smt2status display status in smt2 format instead of SZS.
% 0.13/0.34 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.34 -<param>:<value> configuration parameter and value.
% 0.13/0.34 -o:<output-file> file to place output in.
% 0.21/0.38 % SZS status Unsatisfiable
% 0.21/0.38 % SZS output start Proof
% 0.21/0.38 tff(in_environment_type, type, (
% 0.21/0.38 in_environment: ( $i * $i ) > $o)).
% 0.21/0.38 tff(critical_point_type, type, (
% 0.21/0.38 critical_point: $i > $i)).
% 0.21/0.38 tff(sk1_type, type, (
% 0.21/0.38 sk1: $i > $i)).
% 0.21/0.38 tff(sk3_type, type, (
% 0.21/0.38 sk3: $i)).
% 0.21/0.38 tff(start_time_type, type, (
% 0.21/0.38 start_time: $i > $i)).
% 0.21/0.38 tff(greater_type, type, (
% 0.21/0.38 greater: ( $i * $i ) > $o)).
% 0.21/0.38 tff(end_time_type, type, (
% 0.21/0.38 end_time: $i > $i)).
% 0.21/0.38 tff(greater_or_equal_type, type, (
% 0.21/0.38 greater_or_equal: ( $i * $i ) > $o)).
% 0.21/0.38 tff(sk2_type, type, (
% 0.21/0.38 sk2: ( $i * $i ) > $i)).
% 0.21/0.38 tff(selection_favors_type, type, (
% 0.21/0.38 selection_favors: ( $i * $i * $i ) > $o)).
% 0.21/0.38 tff(first_movers_type, type, (
% 0.21/0.38 first_movers: $i)).
% 0.21/0.38 tff(efficient_producers_type, type, (
% 0.21/0.38 efficient_producers: $i)).
% 0.21/0.38 tff(observational_period_type, type, (
% 0.21/0.38 observational_period: $i > $o)).
% 0.21/0.38 tff(propagation_strategy_type, type, (
% 0.21/0.38 propagation_strategy: $i > $o)).
% 0.21/0.38 tff(environment_type, type, (
% 0.21/0.38 environment: $i > $o)).
% 0.21/0.38 tff(slow_change_type, type, (
% 0.21/0.38 slow_change: $i > $o)).
% 0.21/0.38 tff(1,assumption,(~greater_or_equal(end_time(sk1(sk3)), end_time(sk1(sk3)))), introduced(assumption)).
% 0.21/0.38 tff(2,plain,
% 0.21/0.38 (^[B: $i, A: $i] : refl(((~(A = B)) | greater_or_equal(A, B)) <=> ((~(A = B)) | greater_or_equal(A, B)))),
% 0.21/0.38 inference(bind,[status(th)],[])).
% 0.21/0.38 tff(3,plain,
% 0.21/0.38 (![B: $i, A: $i] : ((~(A = B)) | greater_or_equal(A, B)) <=> ![B: $i, A: $i] : ((~(A = B)) | greater_or_equal(A, B))),
% 0.21/0.38 inference(quant_intro,[status(thm)],[2])).
% 0.21/0.38 tff(4,plain,
% 0.21/0.38 (![B: $i, A: $i] : ((~(A = B)) | greater_or_equal(A, B)) <=> ![B: $i, A: $i] : ((~(A = B)) | greater_or_equal(A, B))),
% 0.21/0.38 inference(rewrite,[status(thm)],[])).
% 0.21/0.38 tff(5,axiom,(![B: $i, A: $i] : ((~(A = B)) | greater_or_equal(A, B))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','mp_greater_or_equal_33')).
% 0.21/0.38 tff(6,plain,
% 0.21/0.38 (![B: $i, A: $i] : ((~(A = B)) | greater_or_equal(A, B))),
% 0.21/0.38 inference(modus_ponens,[status(thm)],[5, 4])).
% 0.21/0.38 tff(7,plain,(
% 0.21/0.38 ![B: $i, A: $i] : ((~(A = B)) | greater_or_equal(A, B))),
% 0.21/0.38 inference(skolemize,[status(sab)],[6])).
% 0.21/0.38 tff(8,plain,
% 0.21/0.38 (![B: $i, A: $i] : ((~(A = B)) | greater_or_equal(A, B))),
% 0.21/0.38 inference(modus_ponens,[status(thm)],[7, 3])).
% 0.21/0.38 tff(9,plain,
% 0.21/0.38 (((~![B: $i, A: $i] : ((~(A = B)) | greater_or_equal(A, B))) | greater_or_equal(end_time(sk1(sk3)), end_time(sk1(sk3)))) <=> ((~![B: $i, A: $i] : ((~(A = B)) | greater_or_equal(A, B))) | greater_or_equal(end_time(sk1(sk3)), end_time(sk1(sk3))))),
% 0.21/0.38 inference(rewrite,[status(thm)],[])).
% 0.21/0.38 tff(10,plain,
% 0.21/0.38 (($false | greater_or_equal(end_time(sk1(sk3)), end_time(sk1(sk3)))) <=> greater_or_equal(end_time(sk1(sk3)), end_time(sk1(sk3)))),
% 0.21/0.38 inference(rewrite,[status(thm)],[])).
% 0.21/0.38 tff(11,plain,
% 0.21/0.38 ((~$true) <=> $false),
% 0.21/0.38 inference(rewrite,[status(thm)],[])).
% 0.21/0.38 tff(12,plain,
% 0.21/0.38 ((end_time(sk1(sk3)) = end_time(sk1(sk3))) <=> $true),
% 0.21/0.38 inference(rewrite,[status(thm)],[])).
% 0.21/0.38 tff(13,plain,
% 0.21/0.38 ((~(end_time(sk1(sk3)) = end_time(sk1(sk3)))) <=> (~$true)),
% 0.21/0.38 inference(monotonicity,[status(thm)],[12])).
% 0.21/0.38 tff(14,plain,
% 0.21/0.38 ((~(end_time(sk1(sk3)) = end_time(sk1(sk3)))) <=> $false),
% 0.21/0.38 inference(transitivity,[status(thm)],[13, 11])).
% 0.21/0.38 tff(15,plain,
% 0.21/0.38 (((~(end_time(sk1(sk3)) = end_time(sk1(sk3)))) | greater_or_equal(end_time(sk1(sk3)), end_time(sk1(sk3)))) <=> ($false | greater_or_equal(end_time(sk1(sk3)), end_time(sk1(sk3))))),
% 0.21/0.38 inference(monotonicity,[status(thm)],[14])).
% 0.21/0.38 tff(16,plain,
% 0.21/0.38 (((~(end_time(sk1(sk3)) = end_time(sk1(sk3)))) | greater_or_equal(end_time(sk1(sk3)), end_time(sk1(sk3)))) <=> greater_or_equal(end_time(sk1(sk3)), end_time(sk1(sk3)))),
% 0.21/0.38 inference(transitivity,[status(thm)],[15, 10])).
% 0.21/0.38 tff(17,plain,
% 0.21/0.38 (((~![B: $i, A: $i] : ((~(A = B)) | greater_or_equal(A, B))) | ((~(end_time(sk1(sk3)) = end_time(sk1(sk3)))) | greater_or_equal(end_time(sk1(sk3)), end_time(sk1(sk3))))) <=> ((~![B: $i, A: $i] : ((~(A = B)) | greater_or_equal(A, B))) | greater_or_equal(end_time(sk1(sk3)), end_time(sk1(sk3))))),
% 0.21/0.38 inference(monotonicity,[status(thm)],[16])).
% 0.21/0.38 tff(18,plain,
% 0.21/0.38 (((~![B: $i, A: $i] : ((~(A = B)) | greater_or_equal(A, B))) | ((~(end_time(sk1(sk3)) = end_time(sk1(sk3)))) | greater_or_equal(end_time(sk1(sk3)), end_time(sk1(sk3))))) <=> ((~![B: $i, A: $i] : ((~(A = B)) | greater_or_equal(A, B))) | greater_or_equal(end_time(sk1(sk3)), end_time(sk1(sk3))))),
% 0.21/0.39 inference(transitivity,[status(thm)],[17, 9])).
% 0.21/0.39 tff(19,plain,
% 0.21/0.39 ((~![B: $i, A: $i] : ((~(A = B)) | greater_or_equal(A, B))) | ((~(end_time(sk1(sk3)) = end_time(sk1(sk3)))) | greater_or_equal(end_time(sk1(sk3)), end_time(sk1(sk3))))),
% 0.21/0.39 inference(quant_inst,[status(thm)],[])).
% 0.21/0.39 tff(20,plain,
% 0.21/0.39 ((~![B: $i, A: $i] : ((~(A = B)) | greater_or_equal(A, B))) | greater_or_equal(end_time(sk1(sk3)), end_time(sk1(sk3)))),
% 0.21/0.39 inference(modus_ponens,[status(thm)],[19, 18])).
% 0.21/0.39 tff(21,plain,
% 0.21/0.39 ($false),
% 0.21/0.39 inference(unit_resolution,[status(thm)],[20, 8, 1])).
% 0.21/0.39 tff(22,plain,(greater_or_equal(end_time(sk1(sk3)), end_time(sk1(sk3)))), inference(lemma,lemma(discharge,[]))).
% 0.21/0.39 tff(23,assumption,(end_time(sk1(sk3)) = sk2(sk1(sk3), sk3)), introduced(assumption)).
% 0.21/0.39 tff(24,plain,
% 0.21/0.39 (selection_favors(efficient_producers, first_movers, end_time(sk1(sk3))) <=> selection_favors(efficient_producers, first_movers, sk2(sk1(sk3), sk3))),
% 0.21/0.39 inference(monotonicity,[status(thm)],[23])).
% 0.21/0.39 tff(25,plain,
% 0.21/0.39 (selection_favors(efficient_producers, first_movers, sk2(sk1(sk3), sk3)) <=> selection_favors(efficient_producers, first_movers, end_time(sk1(sk3)))),
% 0.21/0.39 inference(symmetry,[status(thm)],[24])).
% 0.21/0.39 tff(26,plain,
% 0.21/0.39 ((~selection_favors(efficient_producers, first_movers, sk3)) <=> (~selection_favors(efficient_producers, first_movers, sk3))),
% 0.21/0.39 inference(rewrite,[status(thm)],[])).
% 0.21/0.39 tff(27,axiom,(~selection_favors(efficient_producers, first_movers, sk3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_t8_38')).
% 0.21/0.39 tff(28,plain,
% 0.21/0.39 (~selection_favors(efficient_producers, first_movers, sk3)),
% 0.21/0.39 inference(modus_ponens,[status(thm)],[27, 26])).
% 0.21/0.39 tff(29,plain,
% 0.21/0.39 (observational_period(sk3) <=> observational_period(sk3)),
% 0.21/0.39 inference(rewrite,[status(thm)],[])).
% 0.21/0.39 tff(30,axiom,(observational_period(sk3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_t8_36')).
% 0.21/0.39 tff(31,plain,
% 0.21/0.39 (observational_period(sk3)),
% 0.21/0.39 inference(modus_ponens,[status(thm)],[30, 29])).
% 0.21/0.39 tff(32,plain,
% 0.21/0.39 (^[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))))),
% 0.21/0.39 inference(bind,[status(th)],[])).
% 0.21/0.39 tff(33,plain,
% 0.21/0.39 (![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)))),
% 0.21/0.39 inference(quant_intro,[status(thm)],[32])).
% 0.21/0.39 tff(34,plain,
% 0.21/0.39 (![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)))),
% 0.21/0.39 inference(rewrite,[status(thm)],[])).
% 0.21/0.39 tff(35,plain,
% 0.21/0.39 (^[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)) <=> $false)), (((~propagation_strategy(first_movers)) | (~propagation_strategy(efficient_producers)) | selection_favors(efficient_producers, first_movers, A) | (~observational_period(A)) | in_environment(A, sk1(A))) <=> ($false | $false | selection_favors(efficient_producers, first_movers, A) | (~observational_period(A)) | in_environment(A, sk1(A))))), rewrite(($false | $false | 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)))), (((~propagation_strategy(first_movers)) | (~propagation_strategy(efficient_producers)) | 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)))))),
% 0.21/0.39 inference(bind,[status(th)],[])).
% 0.21/0.39 tff(36,plain,
% 0.21/0.39 (![A: $i] : ((~propagation_strategy(first_movers)) | (~propagation_strategy(efficient_producers)) | 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)))),
% 0.21/0.39 inference(quant_intro,[status(thm)],[35])).
% 0.21/0.39 tff(37,plain,
% 0.21/0.39 (^[A: $i] : trans(monotonicity(trans(monotonicity(rewrite((((~observational_period(A)) | (~propagation_strategy(first_movers))) | (~propagation_strategy(efficient_producers))) <=> ((~propagation_strategy(first_movers)) | (~propagation_strategy(efficient_producers)) | (~observational_period(A)))), (((((~observational_period(A)) | (~propagation_strategy(first_movers))) | (~propagation_strategy(efficient_producers))) | in_environment(A, sk1(A))) <=> (((~propagation_strategy(first_movers)) | (~propagation_strategy(efficient_producers)) | (~observational_period(A))) | in_environment(A, sk1(A))))), rewrite((((~propagation_strategy(first_movers)) | (~propagation_strategy(efficient_producers)) | (~observational_period(A))) | in_environment(A, sk1(A))) <=> ((~propagation_strategy(first_movers)) | (~propagation_strategy(efficient_producers)) | (~observational_period(A)) | 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)) | (~propagation_strategy(efficient_producers)) | (~observational_period(A)) | 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)) | (~propagation_strategy(efficient_producers)) | (~observational_period(A)) | in_environment(A, sk1(A))) | selection_favors(efficient_producers, first_movers, A)))), rewrite((((~propagation_strategy(first_movers)) | (~propagation_strategy(efficient_producers)) | (~observational_period(A)) | in_environment(A, sk1(A))) | selection_favors(efficient_producers, first_movers, A)) <=> ((~propagation_strategy(first_movers)) | (~propagation_strategy(efficient_producers)) | selection_favors(efficient_producers, first_movers, A) | (~observational_period(A)) | 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)) | (~propagation_strategy(efficient_producers)) | selection_favors(efficient_producers, first_movers, A) | (~observational_period(A)) | in_environment(A, sk1(A)))))),
% 0.21/0.39 inference(bind,[status(th)],[])).
% 0.21/0.39 tff(38,plain,
% 0.21/0.39 (![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)) | (~propagation_strategy(efficient_producers)) | selection_favors(efficient_producers, first_movers, A) | (~observational_period(A)) | in_environment(A, sk1(A)))),
% 0.21/0.39 inference(quant_intro,[status(thm)],[37])).
% 0.21/0.39 tff(39,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/sandbox2/benchmark/theBenchmark.p','mp3_favoured_trategy_21')).
% 0.21/0.39 tff(40,plain,
% 0.21/0.39 (![A: $i] : ((~propagation_strategy(first_movers)) | (~propagation_strategy(efficient_producers)) | selection_favors(efficient_producers, first_movers, A) | (~observational_period(A)) | in_environment(A, sk1(A)))),
% 0.21/0.39 inference(modus_ponens,[status(thm)],[39, 38])).
% 0.21/0.39 tff(41,plain,
% 0.21/0.39 (![A: $i] : (selection_favors(efficient_producers, first_movers, A) | (~observational_period(A)) | in_environment(A, sk1(A)))),
% 0.21/0.39 inference(modus_ponens,[status(thm)],[40, 36])).
% 0.21/0.39 tff(42,plain,
% 0.21/0.39 (![A: $i] : (selection_favors(efficient_producers, first_movers, A) | (~observational_period(A)) | in_environment(A, sk1(A)))),
% 0.21/0.39 inference(modus_ponens,[status(thm)],[41, 34])).
% 0.21/0.39 tff(43,plain,(
% 0.21/0.39 ![A: $i] : (selection_favors(efficient_producers, first_movers, A) | (~observational_period(A)) | in_environment(A, sk1(A)))),
% 0.21/0.39 inference(skolemize,[status(sab)],[42])).
% 0.21/0.39 tff(44,plain,
% 0.21/0.39 (![A: $i] : (selection_favors(efficient_producers, first_movers, A) | (~observational_period(A)) | in_environment(A, sk1(A)))),
% 0.21/0.39 inference(modus_ponens,[status(thm)],[43, 33])).
% 0.21/0.39 tff(45,plain,
% 0.21/0.39 (((~![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)))),
% 0.21/0.39 inference(rewrite,[status(thm)],[])).
% 0.21/0.39 tff(46,plain,
% 0.21/0.39 ((~![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)))),
% 0.21/0.39 inference(quant_inst,[status(thm)],[])).
% 0.21/0.39 tff(47,plain,
% 0.21/0.39 ((~![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))),
% 0.21/0.39 inference(modus_ponens,[status(thm)],[46, 45])).
% 0.21/0.39 tff(48,plain,
% 0.21/0.39 (in_environment(sk3, sk1(sk3))),
% 0.21/0.39 inference(unit_resolution,[status(thm)],[47, 44, 31, 28])).
% 0.21/0.39 tff(49,plain,
% 0.21/0.39 (^[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))))),
% 0.21/0.39 inference(bind,[status(th)],[])).
% 0.21/0.39 tff(50,plain,
% 0.21/0.39 (![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)))),
% 0.21/0.39 inference(quant_intro,[status(thm)],[49])).
% 0.21/0.39 tff(51,plain,
% 0.21/0.39 (![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)))),
% 0.21/0.39 inference(rewrite,[status(thm)],[])).
% 0.21/0.39 tff(52,plain,
% 0.21/0.39 (^[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)) <=> $false)), (((~propagation_strategy(first_movers)) | (~propagation_strategy(efficient_producers)) | selection_favors(efficient_producers, first_movers, A) | environment(sk1(A)) | (~observational_period(A))) <=> ($false | $false | selection_favors(efficient_producers, first_movers, A) | environment(sk1(A)) | (~observational_period(A))))), rewrite(($false | $false | 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)))), (((~propagation_strategy(first_movers)) | (~propagation_strategy(efficient_producers)) | 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)))))),
% 0.21/0.39 inference(bind,[status(th)],[])).
% 0.21/0.39 tff(53,plain,
% 0.21/0.39 (![A: $i] : ((~propagation_strategy(first_movers)) | (~propagation_strategy(efficient_producers)) | 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)))),
% 0.21/0.39 inference(quant_intro,[status(thm)],[52])).
% 0.21/0.39 tff(54,plain,
% 0.21/0.39 (^[A: $i] : trans(monotonicity(trans(monotonicity(rewrite((((~observational_period(A)) | (~propagation_strategy(first_movers))) | (~propagation_strategy(efficient_producers))) <=> ((~propagation_strategy(first_movers)) | (~propagation_strategy(efficient_producers)) | (~observational_period(A)))), (((((~observational_period(A)) | (~propagation_strategy(first_movers))) | (~propagation_strategy(efficient_producers))) | environment(sk1(A))) <=> (((~propagation_strategy(first_movers)) | (~propagation_strategy(efficient_producers)) | (~observational_period(A))) | environment(sk1(A))))), rewrite((((~propagation_strategy(first_movers)) | (~propagation_strategy(efficient_producers)) | (~observational_period(A))) | environment(sk1(A))) <=> ((~propagation_strategy(first_movers)) | (~propagation_strategy(efficient_producers)) | environment(sk1(A)) | (~observational_period(A)))), (((((~observational_period(A)) | (~propagation_strategy(first_movers))) | (~propagation_strategy(efficient_producers))) | environment(sk1(A))) <=> ((~propagation_strategy(first_movers)) | (~propagation_strategy(efficient_producers)) | environment(sk1(A)) | (~observational_period(A))))), ((((((~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)) | (~propagation_strategy(efficient_producers)) | environment(sk1(A)) | (~observational_period(A))) | selection_favors(efficient_producers, first_movers, A)))), rewrite((((~propagation_strategy(first_movers)) | (~propagation_strategy(efficient_producers)) | environment(sk1(A)) | (~observational_period(A))) | selection_favors(efficient_producers, first_movers, A)) <=> ((~propagation_strategy(first_movers)) | (~propagation_strategy(efficient_producers)) | selection_favors(efficient_producers, first_movers, A) | environment(sk1(A)) | (~observational_period(A)))), ((((((~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)) | (~propagation_strategy(efficient_producers)) | selection_favors(efficient_producers, first_movers, A) | environment(sk1(A)) | (~observational_period(A)))))),
% 0.21/0.39 inference(bind,[status(th)],[])).
% 0.21/0.39 tff(55,plain,
% 0.21/0.39 (![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)) | (~propagation_strategy(efficient_producers)) | selection_favors(efficient_producers, first_movers, A) | environment(sk1(A)) | (~observational_period(A)))),
% 0.21/0.39 inference(quant_intro,[status(thm)],[54])).
% 0.21/0.39 tff(56,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/sandbox2/benchmark/theBenchmark.p','mp3_favoured_trategy_20')).
% 0.21/0.39 tff(57,plain,
% 0.21/0.39 (![A: $i] : ((~propagation_strategy(first_movers)) | (~propagation_strategy(efficient_producers)) | selection_favors(efficient_producers, first_movers, A) | environment(sk1(A)) | (~observational_period(A)))),
% 0.21/0.39 inference(modus_ponens,[status(thm)],[56, 55])).
% 0.21/0.39 tff(58,plain,
% 0.21/0.39 (![A: $i] : (selection_favors(efficient_producers, first_movers, A) | environment(sk1(A)) | (~observational_period(A)))),
% 0.21/0.39 inference(modus_ponens,[status(thm)],[57, 53])).
% 0.21/0.39 tff(59,plain,
% 0.21/0.39 (![A: $i] : (selection_favors(efficient_producers, first_movers, A) | environment(sk1(A)) | (~observational_period(A)))),
% 0.21/0.39 inference(modus_ponens,[status(thm)],[58, 51])).
% 0.21/0.39 tff(60,plain,(
% 0.21/0.39 ![A: $i] : (selection_favors(efficient_producers, first_movers, A) | environment(sk1(A)) | (~observational_period(A)))),
% 0.21/0.39 inference(skolemize,[status(sab)],[59])).
% 0.21/0.39 tff(61,plain,
% 0.21/0.39 (![A: $i] : (selection_favors(efficient_producers, first_movers, A) | environment(sk1(A)) | (~observational_period(A)))),
% 0.21/0.39 inference(modus_ponens,[status(thm)],[60, 50])).
% 0.21/0.39 tff(62,plain,
% 0.21/0.39 (((~![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)))),
% 0.21/0.39 inference(rewrite,[status(thm)],[])).
% 0.21/0.39 tff(63,plain,
% 0.21/0.39 ((~![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)))),
% 0.21/0.39 inference(quant_inst,[status(thm)],[])).
% 0.21/0.39 tff(64,plain,
% 0.21/0.39 ((~![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))),
% 0.21/0.39 inference(modus_ponens,[status(thm)],[63, 62])).
% 0.21/0.39 tff(65,plain,
% 0.21/0.39 (environment(sk1(sk3))),
% 0.21/0.39 inference(unit_resolution,[status(thm)],[64, 61, 31, 28])).
% 0.21/0.39 tff(66,plain,
% 0.21/0.39 (slow_change(sk3) <=> slow_change(sk3)),
% 0.21/0.39 inference(rewrite,[status(thm)],[])).
% 0.21/0.39 tff(67,axiom,(slow_change(sk3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_t8_37')).
% 0.21/0.39 tff(68,plain,
% 0.21/0.39 (slow_change(sk3)),
% 0.21/0.39 inference(modus_ponens,[status(thm)],[67, 66])).
% 0.21/0.39 tff(69,plain,
% 0.21/0.39 (^[B: $i, A: $i] : refl(((~observational_period(A)) | in_environment(B, sk2(B, A)) | (~in_environment(A, B)) | (~environment(B)) | (~slow_change(A))) <=> ((~observational_period(A)) | in_environment(B, sk2(B, A)) | (~in_environment(A, B)) | (~environment(B)) | (~slow_change(A))))),
% 0.21/0.39 inference(bind,[status(th)],[])).
% 0.21/0.39 tff(70,plain,
% 0.21/0.39 (![B: $i, A: $i] : ((~observational_period(A)) | in_environment(B, sk2(B, A)) | (~in_environment(A, B)) | (~environment(B)) | (~slow_change(A))) <=> ![B: $i, A: $i] : ((~observational_period(A)) | in_environment(B, sk2(B, A)) | (~in_environment(A, B)) | (~environment(B)) | (~slow_change(A)))),
% 0.21/0.39 inference(quant_intro,[status(thm)],[69])).
% 0.21/0.39 tff(71,plain,
% 0.21/0.39 (![B: $i, A: $i] : ((~observational_period(A)) | in_environment(B, sk2(B, A)) | (~in_environment(A, B)) | (~environment(B)) | (~slow_change(A))) <=> ![B: $i, A: $i] : ((~observational_period(A)) | in_environment(B, sk2(B, A)) | (~in_environment(A, B)) | (~environment(B)) | (~slow_change(A)))),
% 0.21/0.39 inference(rewrite,[status(thm)],[])).
% 0.21/0.39 tff(72,plain,
% 0.21/0.39 (^[B: $i, A: $i] : trans(monotonicity(trans(monotonicity(rewrite((((~observational_period(A)) | (~slow_change(A))) | (~environment(B))) <=> ((~observational_period(A)) | (~environment(B)) | (~slow_change(A)))), (((((~observational_period(A)) | (~slow_change(A))) | (~environment(B))) | (~in_environment(A, B))) <=> (((~observational_period(A)) | (~environment(B)) | (~slow_change(A))) | (~in_environment(A, B))))), rewrite((((~observational_period(A)) | (~environment(B)) | (~slow_change(A))) | (~in_environment(A, B))) <=> ((~observational_period(A)) | (~in_environment(A, B)) | (~environment(B)) | (~slow_change(A)))), (((((~observational_period(A)) | (~slow_change(A))) | (~environment(B))) | (~in_environment(A, B))) <=> ((~observational_period(A)) | (~in_environment(A, B)) | (~environment(B)) | (~slow_change(A))))), ((((((~observational_period(A)) | (~slow_change(A))) | (~environment(B))) | (~in_environment(A, B))) | in_environment(B, sk2(B, A))) <=> (((~observational_period(A)) | (~in_environment(A, B)) | (~environment(B)) | (~slow_change(A))) | in_environment(B, sk2(B, A))))), rewrite((((~observational_period(A)) | (~in_environment(A, B)) | (~environment(B)) | (~slow_change(A))) | in_environment(B, sk2(B, A))) <=> ((~observational_period(A)) | in_environment(B, sk2(B, A)) | (~in_environment(A, B)) | (~environment(B)) | (~slow_change(A)))), ((((((~observational_period(A)) | (~slow_change(A))) | (~environment(B))) | (~in_environment(A, B))) | in_environment(B, sk2(B, A))) <=> ((~observational_period(A)) | in_environment(B, sk2(B, A)) | (~in_environment(A, B)) | (~environment(B)) | (~slow_change(A)))))),
% 0.21/0.39 inference(bind,[status(th)],[])).
% 0.21/0.39 tff(73,plain,
% 0.21/0.39 (![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] : ((~observational_period(A)) | in_environment(B, sk2(B, A)) | (~in_environment(A, B)) | (~environment(B)) | (~slow_change(A)))),
% 0.21/0.39 inference(quant_intro,[status(thm)],[72])).
% 0.21/0.39 tff(74,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/sandbox2/benchmark/theBenchmark.p','mp4_critical_point_23')).
% 0.21/0.39 tff(75,plain,
% 0.21/0.39 (![B: $i, A: $i] : ((~observational_period(A)) | in_environment(B, sk2(B, A)) | (~in_environment(A, B)) | (~environment(B)) | (~slow_change(A)))),
% 0.21/0.39 inference(modus_ponens,[status(thm)],[74, 73])).
% 0.21/0.39 tff(76,plain,
% 0.21/0.39 (![B: $i, A: $i] : ((~observational_period(A)) | in_environment(B, sk2(B, A)) | (~in_environment(A, B)) | (~environment(B)) | (~slow_change(A)))),
% 0.21/0.39 inference(modus_ponens,[status(thm)],[75, 71])).
% 0.21/0.39 tff(77,plain,(
% 0.21/0.39 ![B: $i, A: $i] : ((~observational_period(A)) | in_environment(B, sk2(B, A)) | (~in_environment(A, B)) | (~environment(B)) | (~slow_change(A)))),
% 0.21/0.39 inference(skolemize,[status(sab)],[76])).
% 0.21/0.39 tff(78,plain,
% 0.21/0.39 (![B: $i, A: $i] : ((~observational_period(A)) | in_environment(B, sk2(B, A)) | (~in_environment(A, B)) | (~environment(B)) | (~slow_change(A)))),
% 0.21/0.39 inference(modus_ponens,[status(thm)],[77, 70])).
% 0.21/0.39 tff(79,plain,
% 0.21/0.39 (((~![B: $i, A: $i] : ((~observational_period(A)) | in_environment(B, sk2(B, A)) | (~in_environment(A, B)) | (~environment(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] : ((~observational_period(A)) | in_environment(B, sk2(B, A)) | (~in_environment(A, B)) | (~environment(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)))),
% 0.21/0.39 inference(rewrite,[status(thm)],[])).
% 0.21/0.39 tff(80,plain,
% 0.21/0.39 (((~observational_period(sk3)) | in_environment(sk1(sk3), sk2(sk1(sk3), sk3)) | (~in_environment(sk3, sk1(sk3))) | (~environment(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)))),
% 0.21/0.39 inference(rewrite,[status(thm)],[])).
% 0.21/0.39 tff(81,plain,
% 0.21/0.39 (((~![B: $i, A: $i] : ((~observational_period(A)) | in_environment(B, sk2(B, A)) | (~in_environment(A, B)) | (~environment(B)) | (~slow_change(A)))) | ((~observational_period(sk3)) | in_environment(sk1(sk3), sk2(sk1(sk3), sk3)) | (~in_environment(sk3, sk1(sk3))) | (~environment(sk1(sk3))) | (~slow_change(sk3)))) <=> ((~![B: $i, A: $i] : ((~observational_period(A)) | in_environment(B, sk2(B, A)) | (~in_environment(A, B)) | (~environment(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))))),
% 0.21/0.39 inference(monotonicity,[status(thm)],[80])).
% 0.21/0.39 tff(82,plain,
% 0.21/0.39 (((~![B: $i, A: $i] : ((~observational_period(A)) | in_environment(B, sk2(B, A)) | (~in_environment(A, B)) | (~environment(B)) | (~slow_change(A)))) | ((~observational_period(sk3)) | in_environment(sk1(sk3), sk2(sk1(sk3), sk3)) | (~in_environment(sk3, sk1(sk3))) | (~environment(sk1(sk3))) | (~slow_change(sk3)))) <=> ((~![B: $i, A: $i] : ((~observational_period(A)) | in_environment(B, sk2(B, A)) | (~in_environment(A, B)) | (~environment(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)))),
% 0.21/0.39 inference(transitivity,[status(thm)],[81, 79])).
% 0.21/0.39 tff(83,plain,
% 0.21/0.39 ((~![B: $i, A: $i] : ((~observational_period(A)) | in_environment(B, sk2(B, A)) | (~in_environment(A, B)) | (~environment(B)) | (~slow_change(A)))) | ((~observational_period(sk3)) | in_environment(sk1(sk3), sk2(sk1(sk3), sk3)) | (~in_environment(sk3, sk1(sk3))) | (~environment(sk1(sk3))) | (~slow_change(sk3)))),
% 0.21/0.39 inference(quant_inst,[status(thm)],[])).
% 0.21/0.39 tff(84,plain,
% 0.21/0.39 ((~![B: $i, A: $i] : ((~observational_period(A)) | in_environment(B, sk2(B, A)) | (~in_environment(A, B)) | (~environment(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))),
% 0.21/0.39 inference(modus_ponens,[status(thm)],[83, 82])).
% 0.21/0.39 tff(85,plain,
% 0.21/0.39 (in_environment(sk1(sk3), sk2(sk1(sk3), sk3))),
% 0.21/0.39 inference(unit_resolution,[status(thm)],[84, 78, 31, 68, 65, 48])).
% 0.21/0.39 tff(86,plain,
% 0.21/0.39 (^[B: $i, A: $i] : refl(((~observational_period(A)) | (~in_environment(A, B)) | (~environment(B)) | (~slow_change(A)) | greater(sk2(B, A), critical_point(B))) <=> ((~observational_period(A)) | (~in_environment(A, B)) | (~environment(B)) | (~slow_change(A)) | greater(sk2(B, A), critical_point(B))))),
% 0.21/0.39 inference(bind,[status(th)],[])).
% 0.21/0.39 tff(87,plain,
% 0.21/0.39 (![B: $i, A: $i] : ((~observational_period(A)) | (~in_environment(A, B)) | (~environment(B)) | (~slow_change(A)) | greater(sk2(B, A), critical_point(B))) <=> ![B: $i, A: $i] : ((~observational_period(A)) | (~in_environment(A, B)) | (~environment(B)) | (~slow_change(A)) | greater(sk2(B, A), critical_point(B)))),
% 0.21/0.39 inference(quant_intro,[status(thm)],[86])).
% 0.21/0.39 tff(88,plain,
% 0.21/0.39 (![B: $i, A: $i] : ((~observational_period(A)) | (~in_environment(A, B)) | (~environment(B)) | (~slow_change(A)) | greater(sk2(B, A), critical_point(B))) <=> ![B: $i, A: $i] : ((~observational_period(A)) | (~in_environment(A, B)) | (~environment(B)) | (~slow_change(A)) | greater(sk2(B, A), critical_point(B)))),
% 0.21/0.39 inference(rewrite,[status(thm)],[])).
% 0.21/0.39 tff(89,plain,
% 0.21/0.39 (^[B: $i, A: $i] : trans(monotonicity(trans(monotonicity(rewrite((((~observational_period(A)) | (~slow_change(A))) | (~environment(B))) <=> ((~observational_period(A)) | (~environment(B)) | (~slow_change(A)))), (((((~observational_period(A)) | (~slow_change(A))) | (~environment(B))) | (~in_environment(A, B))) <=> (((~observational_period(A)) | (~environment(B)) | (~slow_change(A))) | (~in_environment(A, B))))), rewrite((((~observational_period(A)) | (~environment(B)) | (~slow_change(A))) | (~in_environment(A, B))) <=> ((~observational_period(A)) | (~in_environment(A, B)) | (~environment(B)) | (~slow_change(A)))), (((((~observational_period(A)) | (~slow_change(A))) | (~environment(B))) | (~in_environment(A, B))) <=> ((~observational_period(A)) | (~in_environment(A, B)) | (~environment(B)) | (~slow_change(A))))), ((((((~observational_period(A)) | (~slow_change(A))) | (~environment(B))) | (~in_environment(A, B))) | greater(sk2(B, A), critical_point(B))) <=> (((~observational_period(A)) | (~in_environment(A, B)) | (~environment(B)) | (~slow_change(A))) | greater(sk2(B, A), critical_point(B))))), rewrite((((~observational_period(A)) | (~in_environment(A, B)) | (~environment(B)) | (~slow_change(A))) | greater(sk2(B, A), critical_point(B))) <=> ((~observational_period(A)) | (~in_environment(A, B)) | (~environment(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))) <=> ((~observational_period(A)) | (~in_environment(A, B)) | (~environment(B)) | (~slow_change(A)) | greater(sk2(B, A), critical_point(B)))))),
% 0.21/0.39 inference(bind,[status(th)],[])).
% 0.21/0.39 tff(90,plain,
% 0.21/0.39 (![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] : ((~observational_period(A)) | (~in_environment(A, B)) | (~environment(B)) | (~slow_change(A)) | greater(sk2(B, A), critical_point(B)))),
% 0.21/0.39 inference(quant_intro,[status(thm)],[89])).
% 0.21/0.39 tff(91,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/sandbox2/benchmark/theBenchmark.p','mp4_critical_point_24')).
% 0.21/0.39 tff(92,plain,
% 0.21/0.39 (![B: $i, A: $i] : ((~observational_period(A)) | (~in_environment(A, B)) | (~environment(B)) | (~slow_change(A)) | greater(sk2(B, A), critical_point(B)))),
% 0.21/0.39 inference(modus_ponens,[status(thm)],[91, 90])).
% 0.21/0.39 tff(93,plain,
% 0.21/0.39 (![B: $i, A: $i] : ((~observational_period(A)) | (~in_environment(A, B)) | (~environment(B)) | (~slow_change(A)) | greater(sk2(B, A), critical_point(B)))),
% 0.21/0.39 inference(modus_ponens,[status(thm)],[92, 88])).
% 0.21/0.39 tff(94,plain,(
% 0.21/0.39 ![B: $i, A: $i] : ((~observational_period(A)) | (~in_environment(A, B)) | (~environment(B)) | (~slow_change(A)) | greater(sk2(B, A), critical_point(B)))),
% 0.21/0.39 inference(skolemize,[status(sab)],[93])).
% 0.21/0.39 tff(95,plain,
% 0.21/0.39 (![B: $i, A: $i] : ((~observational_period(A)) | (~in_environment(A, B)) | (~environment(B)) | (~slow_change(A)) | greater(sk2(B, A), critical_point(B)))),
% 0.21/0.39 inference(modus_ponens,[status(thm)],[94, 87])).
% 0.21/0.39 tff(96,plain,
% 0.21/0.39 (((~![B: $i, A: $i] : ((~observational_period(A)) | (~in_environment(A, B)) | (~environment(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] : ((~observational_period(A)) | (~in_environment(A, B)) | (~environment(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))))),
% 0.21/0.39 inference(rewrite,[status(thm)],[])).
% 0.21/0.39 tff(97,plain,
% 0.21/0.39 (((~observational_period(sk3)) | (~in_environment(sk3, sk1(sk3))) | (~environment(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))))),
% 0.21/0.39 inference(rewrite,[status(thm)],[])).
% 0.21/0.39 tff(98,plain,
% 0.21/0.39 (((~![B: $i, A: $i] : ((~observational_period(A)) | (~in_environment(A, B)) | (~environment(B)) | (~slow_change(A)) | greater(sk2(B, A), critical_point(B)))) | ((~observational_period(sk3)) | (~in_environment(sk3, sk1(sk3))) | (~environment(sk1(sk3))) | (~slow_change(sk3)) | greater(sk2(sk1(sk3), sk3), critical_point(sk1(sk3))))) <=> ((~![B: $i, A: $i] : ((~observational_period(A)) | (~in_environment(A, B)) | (~environment(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)))))),
% 0.21/0.39 inference(monotonicity,[status(thm)],[97])).
% 0.21/0.39 tff(99,plain,
% 0.21/0.39 (((~![B: $i, A: $i] : ((~observational_period(A)) | (~in_environment(A, B)) | (~environment(B)) | (~slow_change(A)) | greater(sk2(B, A), critical_point(B)))) | ((~observational_period(sk3)) | (~in_environment(sk3, sk1(sk3))) | (~environment(sk1(sk3))) | (~slow_change(sk3)) | greater(sk2(sk1(sk3), sk3), critical_point(sk1(sk3))))) <=> ((~![B: $i, A: $i] : ((~observational_period(A)) | (~in_environment(A, B)) | (~environment(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))))),
% 0.21/0.39 inference(transitivity,[status(thm)],[98, 96])).
% 0.21/0.39 tff(100,plain,
% 0.21/0.39 ((~![B: $i, A: $i] : ((~observational_period(A)) | (~in_environment(A, B)) | (~environment(B)) | (~slow_change(A)) | greater(sk2(B, A), critical_point(B)))) | ((~observational_period(sk3)) | (~in_environment(sk3, sk1(sk3))) | (~environment(sk1(sk3))) | (~slow_change(sk3)) | greater(sk2(sk1(sk3), sk3), critical_point(sk1(sk3))))),
% 0.21/0.39 inference(quant_inst,[status(thm)],[])).
% 0.21/0.39 tff(101,plain,
% 0.21/0.39 ((~![B: $i, A: $i] : ((~observational_period(A)) | (~in_environment(A, B)) | (~environment(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)))),
% 0.21/0.39 inference(modus_ponens,[status(thm)],[100, 99])).
% 0.21/0.39 tff(102,plain,
% 0.21/0.39 (greater(sk2(sk1(sk3), sk3), critical_point(sk1(sk3)))),
% 0.21/0.39 inference(unit_resolution,[status(thm)],[101, 95, 31, 68, 65, 48])).
% 0.21/0.39 tff(103,plain,
% 0.21/0.39 (^[B: $i, A: $i] : refl(((~in_environment(A, B)) | (~environment(A)) | selection_favors(efficient_producers, first_movers, B) | (~greater(B, critical_point(A)))) <=> ((~in_environment(A, B)) | (~environment(A)) | selection_favors(efficient_producers, first_movers, B) | (~greater(B, critical_point(A)))))),
% 0.21/0.39 inference(bind,[status(th)],[])).
% 0.21/0.39 tff(104,plain,
% 0.21/0.39 (![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | selection_favors(efficient_producers, first_movers, B) | (~greater(B, critical_point(A)))) <=> ![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | selection_favors(efficient_producers, first_movers, B) | (~greater(B, critical_point(A))))),
% 0.21/0.39 inference(quant_intro,[status(thm)],[103])).
% 0.21/0.39 tff(105,plain,
% 0.21/0.39 (![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | selection_favors(efficient_producers, first_movers, B) | (~greater(B, critical_point(A)))) <=> ![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | selection_favors(efficient_producers, first_movers, B) | (~greater(B, critical_point(A))))),
% 0.21/0.39 inference(rewrite,[status(thm)],[])).
% 0.21/0.39 tff(106,plain,
% 0.21/0.39 (^[B: $i, A: $i] : trans(monotonicity(rewrite((((~environment(A)) | (~in_environment(A, B))) | (~greater(B, critical_point(A)))) <=> ((~in_environment(A, B)) | (~environment(A)) | (~greater(B, critical_point(A))))), (((((~environment(A)) | (~in_environment(A, B))) | (~greater(B, critical_point(A)))) | selection_favors(efficient_producers, first_movers, B)) <=> (((~in_environment(A, B)) | (~environment(A)) | (~greater(B, critical_point(A)))) | selection_favors(efficient_producers, first_movers, B)))), rewrite((((~in_environment(A, B)) | (~environment(A)) | (~greater(B, critical_point(A)))) | selection_favors(efficient_producers, first_movers, B)) <=> ((~in_environment(A, B)) | (~environment(A)) | selection_favors(efficient_producers, first_movers, B) | (~greater(B, critical_point(A))))), (((((~environment(A)) | (~in_environment(A, B))) | (~greater(B, critical_point(A)))) | selection_favors(efficient_producers, first_movers, B)) <=> ((~in_environment(A, B)) | (~environment(A)) | selection_favors(efficient_producers, first_movers, B) | (~greater(B, critical_point(A))))))),
% 0.21/0.40 inference(bind,[status(th)],[])).
% 0.21/0.40 tff(107,plain,
% 0.21/0.40 (![B: $i, A: $i] : ((((~environment(A)) | (~in_environment(A, B))) | (~greater(B, critical_point(A)))) | selection_favors(efficient_producers, first_movers, B)) <=> ![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | selection_favors(efficient_producers, first_movers, B) | (~greater(B, critical_point(A))))),
% 0.21/0.40 inference(quant_intro,[status(thm)],[106])).
% 0.21/0.40 tff(108,axiom,(![B: $i, A: $i] : ((((~environment(A)) | (~in_environment(A, B))) | (~greater(B, critical_point(A)))) | selection_favors(efficient_producers, first_movers, B))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','l8_35')).
% 0.21/0.40 tff(109,plain,
% 0.21/0.40 (![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | selection_favors(efficient_producers, first_movers, B) | (~greater(B, critical_point(A))))),
% 0.21/0.40 inference(modus_ponens,[status(thm)],[108, 107])).
% 0.21/0.40 tff(110,plain,
% 0.21/0.40 (![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | selection_favors(efficient_producers, first_movers, B) | (~greater(B, critical_point(A))))),
% 0.21/0.40 inference(modus_ponens,[status(thm)],[109, 105])).
% 0.21/0.40 tff(111,plain,(
% 0.21/0.40 ![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | selection_favors(efficient_producers, first_movers, B) | (~greater(B, critical_point(A))))),
% 0.21/0.40 inference(skolemize,[status(sab)],[110])).
% 0.21/0.40 tff(112,plain,
% 0.21/0.40 (![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | selection_favors(efficient_producers, first_movers, B) | (~greater(B, critical_point(A))))),
% 0.21/0.40 inference(modus_ponens,[status(thm)],[111, 104])).
% 0.21/0.40 tff(113,plain,
% 0.21/0.40 (((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | selection_favors(efficient_producers, first_movers, B) | (~greater(B, critical_point(A))))) | ((~environment(sk1(sk3))) | (~in_environment(sk1(sk3), sk2(sk1(sk3), sk3))) | selection_favors(efficient_producers, first_movers, sk2(sk1(sk3), sk3)) | (~greater(sk2(sk1(sk3), sk3), critical_point(sk1(sk3)))))) <=> ((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | selection_favors(efficient_producers, first_movers, B) | (~greater(B, critical_point(A))))) | (~environment(sk1(sk3))) | (~in_environment(sk1(sk3), sk2(sk1(sk3), sk3))) | selection_favors(efficient_producers, first_movers, sk2(sk1(sk3), sk3)) | (~greater(sk2(sk1(sk3), sk3), critical_point(sk1(sk3)))))),
% 0.21/0.40 inference(rewrite,[status(thm)],[])).
% 0.21/0.40 tff(114,plain,
% 0.21/0.40 (((~in_environment(sk1(sk3), sk2(sk1(sk3), sk3))) | (~environment(sk1(sk3))) | selection_favors(efficient_producers, first_movers, sk2(sk1(sk3), sk3)) | (~greater(sk2(sk1(sk3), sk3), critical_point(sk1(sk3))))) <=> ((~environment(sk1(sk3))) | (~in_environment(sk1(sk3), sk2(sk1(sk3), sk3))) | selection_favors(efficient_producers, first_movers, sk2(sk1(sk3), sk3)) | (~greater(sk2(sk1(sk3), sk3), critical_point(sk1(sk3)))))),
% 0.21/0.40 inference(rewrite,[status(thm)],[])).
% 0.21/0.40 tff(115,plain,
% 0.21/0.40 (((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | selection_favors(efficient_producers, first_movers, B) | (~greater(B, critical_point(A))))) | ((~in_environment(sk1(sk3), sk2(sk1(sk3), sk3))) | (~environment(sk1(sk3))) | selection_favors(efficient_producers, first_movers, sk2(sk1(sk3), sk3)) | (~greater(sk2(sk1(sk3), sk3), critical_point(sk1(sk3)))))) <=> ((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | selection_favors(efficient_producers, first_movers, B) | (~greater(B, critical_point(A))))) | ((~environment(sk1(sk3))) | (~in_environment(sk1(sk3), sk2(sk1(sk3), sk3))) | selection_favors(efficient_producers, first_movers, sk2(sk1(sk3), sk3)) | (~greater(sk2(sk1(sk3), sk3), critical_point(sk1(sk3))))))),
% 0.21/0.40 inference(monotonicity,[status(thm)],[114])).
% 0.21/0.40 tff(116,plain,
% 0.21/0.40 (((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | selection_favors(efficient_producers, first_movers, B) | (~greater(B, critical_point(A))))) | ((~in_environment(sk1(sk3), sk2(sk1(sk3), sk3))) | (~environment(sk1(sk3))) | selection_favors(efficient_producers, first_movers, sk2(sk1(sk3), sk3)) | (~greater(sk2(sk1(sk3), sk3), critical_point(sk1(sk3)))))) <=> ((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | selection_favors(efficient_producers, first_movers, B) | (~greater(B, critical_point(A))))) | (~environment(sk1(sk3))) | (~in_environment(sk1(sk3), sk2(sk1(sk3), sk3))) | selection_favors(efficient_producers, first_movers, sk2(sk1(sk3), sk3)) | (~greater(sk2(sk1(sk3), sk3), critical_point(sk1(sk3)))))),
% 0.21/0.40 inference(transitivity,[status(thm)],[115, 113])).
% 0.21/0.40 tff(117,plain,
% 0.21/0.40 ((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | selection_favors(efficient_producers, first_movers, B) | (~greater(B, critical_point(A))))) | ((~in_environment(sk1(sk3), sk2(sk1(sk3), sk3))) | (~environment(sk1(sk3))) | selection_favors(efficient_producers, first_movers, sk2(sk1(sk3), sk3)) | (~greater(sk2(sk1(sk3), sk3), critical_point(sk1(sk3)))))),
% 0.21/0.40 inference(quant_inst,[status(thm)],[])).
% 0.21/0.40 tff(118,plain,
% 0.21/0.40 ((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | selection_favors(efficient_producers, first_movers, B) | (~greater(B, critical_point(A))))) | (~environment(sk1(sk3))) | (~in_environment(sk1(sk3), sk2(sk1(sk3), sk3))) | selection_favors(efficient_producers, first_movers, sk2(sk1(sk3), sk3)) | (~greater(sk2(sk1(sk3), sk3), critical_point(sk1(sk3))))),
% 0.21/0.40 inference(modus_ponens,[status(thm)],[117, 116])).
% 0.21/0.40 tff(119,plain,
% 0.21/0.40 ((~in_environment(sk1(sk3), sk2(sk1(sk3), sk3))) | selection_favors(efficient_producers, first_movers, sk2(sk1(sk3), sk3))),
% 0.21/0.40 inference(unit_resolution,[status(thm)],[118, 112, 65, 102])).
% 0.21/0.40 tff(120,plain,
% 0.21/0.40 (selection_favors(efficient_producers, first_movers, sk2(sk1(sk3), sk3))),
% 0.21/0.40 inference(unit_resolution,[status(thm)],[119, 85])).
% 0.21/0.40 tff(121,plain,
% 0.21/0.40 (selection_favors(efficient_producers, first_movers, end_time(sk1(sk3)))),
% 0.21/0.40 inference(modus_ponens,[status(thm)],[120, 25])).
% 0.21/0.40 tff(122,plain,
% 0.21/0.40 (^[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))))))),
% 0.21/0.40 inference(bind,[status(th)],[])).
% 0.21/0.40 tff(123,plain,
% 0.21/0.40 (![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)))))),
% 0.21/0.40 inference(quant_intro,[status(thm)],[122])).
% 0.21/0.40 tff(124,plain,
% 0.21/0.40 (![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)))))),
% 0.21/0.40 inference(rewrite,[status(thm)],[])).
% 0.21/0.40 tff(125,plain,
% 0.21/0.40 (^[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)) <=> $false)), (((~propagation_strategy(first_movers)) | (~propagation_strategy(efficient_producers)) | selection_favors(efficient_producers, first_movers, A) | (~observational_period(A)) | (~selection_favors(efficient_producers, first_movers, end_time(sk1(A))))) <=> ($false | $false | selection_favors(efficient_producers, first_movers, A) | (~observational_period(A)) | (~selection_favors(efficient_producers, first_movers, end_time(sk1(A))))))), rewrite(($false | $false | 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)))))), (((~propagation_strategy(first_movers)) | (~propagation_strategy(efficient_producers)) | 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)))))))),
% 0.21/0.40 inference(bind,[status(th)],[])).
% 0.21/0.40 tff(126,plain,
% 0.21/0.40 (![A: $i] : ((~propagation_strategy(first_movers)) | (~propagation_strategy(efficient_producers)) | 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)))))),
% 0.21/0.40 inference(quant_intro,[status(thm)],[125])).
% 0.21/0.40 tff(127,plain,
% 0.21/0.40 (^[A: $i] : trans(monotonicity(trans(monotonicity(rewrite((((~observational_period(A)) | (~propagation_strategy(first_movers))) | (~propagation_strategy(efficient_producers))) <=> ((~propagation_strategy(first_movers)) | (~propagation_strategy(efficient_producers)) | (~observational_period(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)) | (~propagation_strategy(efficient_producers)) | (~observational_period(A))) | (~selection_favors(efficient_producers, first_movers, end_time(sk1(A))))))), rewrite((((~propagation_strategy(first_movers)) | (~propagation_strategy(efficient_producers)) | (~observational_period(A))) | (~selection_favors(efficient_producers, first_movers, end_time(sk1(A))))) <=> ((~propagation_strategy(first_movers)) | (~propagation_strategy(efficient_producers)) | (~observational_period(A)) | (~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)) | (~propagation_strategy(efficient_producers)) | (~observational_period(A)) | (~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)) | (~propagation_strategy(efficient_producers)) | (~observational_period(A)) | (~selection_favors(efficient_producers, first_movers, end_time(sk1(A))))) | selection_favors(efficient_producers, first_movers, A)))), rewrite((((~propagation_strategy(first_movers)) | (~propagation_strategy(efficient_producers)) | (~observational_period(A)) | (~selection_favors(efficient_producers, first_movers, end_time(sk1(A))))) | selection_favors(efficient_producers, first_movers, A)) <=> ((~propagation_strategy(first_movers)) | (~propagation_strategy(efficient_producers)) | selection_favors(efficient_producers, first_movers, A) | (~observational_period(A)) | (~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)) | (~propagation_strategy(efficient_producers)) | selection_favors(efficient_producers, first_movers, A) | (~observational_period(A)) | (~selection_favors(efficient_producers, first_movers, end_time(sk1(A)))))))),
% 0.21/0.40 inference(bind,[status(th)],[])).
% 0.21/0.40 tff(128,plain,
% 0.21/0.40 (![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)) | (~propagation_strategy(efficient_producers)) | selection_favors(efficient_producers, first_movers, A) | (~observational_period(A)) | (~selection_favors(efficient_producers, first_movers, end_time(sk1(A)))))),
% 0.21/0.40 inference(quant_intro,[status(thm)],[127])).
% 0.21/0.40 tff(129,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/sandbox2/benchmark/theBenchmark.p','mp3_favoured_trategy_22')).
% 0.21/0.40 tff(130,plain,
% 0.21/0.40 (![A: $i] : ((~propagation_strategy(first_movers)) | (~propagation_strategy(efficient_producers)) | selection_favors(efficient_producers, first_movers, A) | (~observational_period(A)) | (~selection_favors(efficient_producers, first_movers, end_time(sk1(A)))))),
% 0.21/0.40 inference(modus_ponens,[status(thm)],[129, 128])).
% 0.21/0.40 tff(131,plain,
% 0.21/0.40 (![A: $i] : (selection_favors(efficient_producers, first_movers, A) | (~observational_period(A)) | (~selection_favors(efficient_producers, first_movers, end_time(sk1(A)))))),
% 0.21/0.40 inference(modus_ponens,[status(thm)],[130, 126])).
% 0.21/0.40 tff(132,plain,
% 0.21/0.40 (![A: $i] : (selection_favors(efficient_producers, first_movers, A) | (~observational_period(A)) | (~selection_favors(efficient_producers, first_movers, end_time(sk1(A)))))),
% 0.21/0.40 inference(modus_ponens,[status(thm)],[131, 124])).
% 0.21/0.40 tff(133,plain,(
% 0.21/0.40 ![A: $i] : (selection_favors(efficient_producers, first_movers, A) | (~observational_period(A)) | (~selection_favors(efficient_producers, first_movers, end_time(sk1(A)))))),
% 0.21/0.40 inference(skolemize,[status(sab)],[132])).
% 0.21/0.40 tff(134,plain,
% 0.21/0.40 (![A: $i] : (selection_favors(efficient_producers, first_movers, A) | (~observational_period(A)) | (~selection_favors(efficient_producers, first_movers, end_time(sk1(A)))))),
% 0.21/0.40 inference(modus_ponens,[status(thm)],[133, 123])).
% 0.21/0.40 tff(135,plain,
% 0.21/0.40 (((~![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)))))),
% 0.21/0.40 inference(rewrite,[status(thm)],[])).
% 0.21/0.40 tff(136,plain,
% 0.21/0.40 ((~![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)))))),
% 0.21/0.40 inference(quant_inst,[status(thm)],[])).
% 0.21/0.40 tff(137,plain,
% 0.21/0.40 ((~![A: $i] : (selection_favors(efficient_producers, first_movers, A) | (~observational_period(A)) | (~selection_favors(efficient_producers, first_movers, end_time(sk1(A)))))) | selection_favors(efficient_producers, first_movers, sk3) | (~observational_period(sk3)) | (~selection_favors(efficient_producers, first_movers, end_time(sk1(sk3))))),
% 0.21/0.40 inference(modus_ponens,[status(thm)],[136, 135])).
% 0.21/0.40 tff(138,plain,
% 0.21/0.40 (~selection_favors(efficient_producers, first_movers, end_time(sk1(sk3)))),
% 0.21/0.40 inference(unit_resolution,[status(thm)],[137, 134, 31, 28])).
% 0.21/0.40 tff(139,plain,
% 0.21/0.40 ($false),
% 0.21/0.40 inference(unit_resolution,[status(thm)],[138, 121])).
% 0.21/0.40 tff(140,plain,(~(end_time(sk1(sk3)) = sk2(sk1(sk3), sk3))), inference(lemma,lemma(discharge,[]))).
% 0.21/0.40 tff(141,plain,
% 0.21/0.40 (^[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))))),
% 0.21/0.40 inference(bind,[status(th)],[])).
% 0.21/0.40 tff(142,plain,
% 0.21/0.40 (![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)))),
% 0.21/0.40 inference(quant_intro,[status(thm)],[141])).
% 0.21/0.40 tff(143,plain,
% 0.21/0.40 (![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)))),
% 0.21/0.40 inference(rewrite,[status(thm)],[])).
% 0.21/0.40 tff(144,plain,
% 0.21/0.40 (^[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))))),
% 0.21/0.40 inference(bind,[status(th)],[])).
% 0.21/0.40 tff(145,plain,
% 0.21/0.40 (![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)))),
% 0.21/0.40 inference(quant_intro,[status(thm)],[144])).
% 0.21/0.40 tff(146,axiom,(![B: $i, A: $i] : (((~environment(A)) | (~in_environment(A, B))) | greater_or_equal(end_time(A), B))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','mp_environment_end_point_28')).
% 0.21/0.40 tff(147,plain,
% 0.21/0.40 (![B: $i, A: $i] : (greater_or_equal(end_time(A), B) | (~in_environment(A, B)) | (~environment(A)))),
% 0.21/0.40 inference(modus_ponens,[status(thm)],[146, 145])).
% 0.21/0.40 tff(148,plain,
% 0.21/0.40 (![B: $i, A: $i] : (greater_or_equal(end_time(A), B) | (~in_environment(A, B)) | (~environment(A)))),
% 0.21/0.40 inference(modus_ponens,[status(thm)],[147, 143])).
% 0.21/0.40 tff(149,plain,(
% 0.21/0.40 ![B: $i, A: $i] : (greater_or_equal(end_time(A), B) | (~in_environment(A, B)) | (~environment(A)))),
% 0.21/0.40 inference(skolemize,[status(sab)],[148])).
% 0.21/0.40 tff(150,plain,
% 0.21/0.40 (![B: $i, A: $i] : (greater_or_equal(end_time(A), B) | (~in_environment(A, B)) | (~environment(A)))),
% 0.21/0.40 inference(modus_ponens,[status(thm)],[149, 142])).
% 0.21/0.40 tff(151,plain,
% 0.21/0.40 (((~![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)))),
% 0.21/0.40 inference(rewrite,[status(thm)],[])).
% 0.21/0.40 tff(152,plain,
% 0.21/0.40 ((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)))),
% 0.21/0.40 inference(rewrite,[status(thm)],[])).
% 0.21/0.40 tff(153,plain,
% 0.21/0.40 (((~![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))))),
% 0.21/0.40 inference(monotonicity,[status(thm)],[152])).
% 0.21/0.40 tff(154,plain,
% 0.21/0.40 (((~![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)))),
% 0.21/0.40 inference(transitivity,[status(thm)],[153, 151])).
% 0.21/0.40 tff(155,plain,
% 0.21/0.40 ((~![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))))),
% 0.21/0.40 inference(quant_inst,[status(thm)],[])).
% 0.21/0.40 tff(156,plain,
% 0.21/0.40 ((~![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))),
% 0.21/0.40 inference(modus_ponens,[status(thm)],[155, 154])).
% 0.21/0.40 tff(157,plain,
% 0.21/0.40 (greater_or_equal(end_time(sk1(sk3)), sk2(sk1(sk3), sk3))),
% 0.21/0.40 inference(unit_resolution,[status(thm)],[156, 150, 65, 85])).
% 0.21/0.40 tff(158,plain,
% 0.21/0.40 (^[B: $i, A: $i] : refl(((A = B) | greater(A, B) | (~greater_or_equal(A, B))) <=> ((A = B) | greater(A, B) | (~greater_or_equal(A, B))))),
% 0.21/0.40 inference(bind,[status(th)],[])).
% 0.21/0.40 tff(159,plain,
% 0.21/0.40 (![B: $i, A: $i] : ((A = B) | greater(A, B) | (~greater_or_equal(A, B))) <=> ![B: $i, A: $i] : ((A = B) | greater(A, B) | (~greater_or_equal(A, B)))),
% 0.21/0.40 inference(quant_intro,[status(thm)],[158])).
% 0.21/0.40 tff(160,plain,
% 0.21/0.40 (![B: $i, A: $i] : ((A = B) | greater(A, B) | (~greater_or_equal(A, B))) <=> ![B: $i, A: $i] : ((A = B) | greater(A, B) | (~greater_or_equal(A, B)))),
% 0.21/0.40 inference(rewrite,[status(thm)],[])).
% 0.21/0.40 tff(161,plain,
% 0.21/0.40 (^[B: $i, A: $i] : rewrite((((~greater_or_equal(A, B)) | greater(A, B)) | (A = B)) <=> ((A = B) | greater(A, B) | (~greater_or_equal(A, B))))),
% 0.21/0.40 inference(bind,[status(th)],[])).
% 0.21/0.40 tff(162,plain,
% 0.21/0.40 (![B: $i, A: $i] : (((~greater_or_equal(A, B)) | greater(A, B)) | (A = B)) <=> ![B: $i, A: $i] : ((A = B) | greater(A, B) | (~greater_or_equal(A, B)))),
% 0.21/0.40 inference(quant_intro,[status(thm)],[161])).
% 0.21/0.40 tff(163,axiom,(![B: $i, A: $i] : (((~greater_or_equal(A, B)) | greater(A, B)) | (A = B))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','mp_greater_or_equal_31')).
% 0.21/0.40 tff(164,plain,
% 0.21/0.40 (![B: $i, A: $i] : ((A = B) | greater(A, B) | (~greater_or_equal(A, B)))),
% 0.21/0.40 inference(modus_ponens,[status(thm)],[163, 162])).
% 0.21/0.40 tff(165,plain,
% 0.21/0.40 (![B: $i, A: $i] : ((A = B) | greater(A, B) | (~greater_or_equal(A, B)))),
% 0.21/0.40 inference(modus_ponens,[status(thm)],[164, 160])).
% 0.21/0.40 tff(166,plain,(
% 0.21/0.40 ![B: $i, A: $i] : ((A = B) | greater(A, B) | (~greater_or_equal(A, B)))),
% 0.21/0.40 inference(skolemize,[status(sab)],[165])).
% 0.21/0.40 tff(167,plain,
% 0.21/0.40 (![B: $i, A: $i] : ((A = B) | greater(A, B) | (~greater_or_equal(A, B)))),
% 0.21/0.40 inference(modus_ponens,[status(thm)],[166, 159])).
% 0.21/0.40 tff(168,plain,
% 0.21/0.40 (((~![B: $i, A: $i] : ((A = B) | greater(A, B) | (~greater_or_equal(A, B)))) | ((end_time(sk1(sk3)) = sk2(sk1(sk3), sk3)) | greater(end_time(sk1(sk3)), sk2(sk1(sk3), sk3)) | (~greater_or_equal(end_time(sk1(sk3)), sk2(sk1(sk3), sk3))))) <=> ((~![B: $i, A: $i] : ((A = B) | greater(A, B) | (~greater_or_equal(A, B)))) | (end_time(sk1(sk3)) = sk2(sk1(sk3), sk3)) | greater(end_time(sk1(sk3)), sk2(sk1(sk3), sk3)) | (~greater_or_equal(end_time(sk1(sk3)), sk2(sk1(sk3), sk3))))),
% 0.21/0.40 inference(rewrite,[status(thm)],[])).
% 0.21/0.40 tff(169,plain,
% 0.21/0.40 ((~![B: $i, A: $i] : ((A = B) | greater(A, B) | (~greater_or_equal(A, B)))) | ((end_time(sk1(sk3)) = sk2(sk1(sk3), sk3)) | greater(end_time(sk1(sk3)), sk2(sk1(sk3), sk3)) | (~greater_or_equal(end_time(sk1(sk3)), sk2(sk1(sk3), sk3))))),
% 0.21/0.40 inference(quant_inst,[status(thm)],[])).
% 0.21/0.40 tff(170,plain,
% 0.21/0.40 ((~![B: $i, A: $i] : ((A = B) | greater(A, B) | (~greater_or_equal(A, B)))) | (end_time(sk1(sk3)) = sk2(sk1(sk3), sk3)) | greater(end_time(sk1(sk3)), sk2(sk1(sk3), sk3)) | (~greater_or_equal(end_time(sk1(sk3)), sk2(sk1(sk3), sk3)))),
% 0.21/0.40 inference(modus_ponens,[status(thm)],[169, 168])).
% 0.21/0.40 tff(171,plain,
% 0.21/0.40 ((end_time(sk1(sk3)) = sk2(sk1(sk3), sk3)) | greater(end_time(sk1(sk3)), sk2(sk1(sk3), sk3))),
% 0.21/0.40 inference(unit_resolution,[status(thm)],[170, 167, 157])).
% 0.21/0.40 tff(172,plain,
% 0.21/0.40 (greater(end_time(sk1(sk3)), sk2(sk1(sk3), sk3))),
% 0.21/0.40 inference(unit_resolution,[status(thm)],[171, 140])).
% 0.21/0.40 tff(173,plain,
% 0.21/0.40 (![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)))),
% 0.21/0.40 inference(rewrite,[status(thm)],[])).
% 0.21/0.40 tff(174,plain,
% 0.21/0.40 (![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)))),
% 0.21/0.40 inference(rewrite,[status(thm)],[])).
% 0.21/0.40 tff(175,plain,
% 0.21/0.40 (^[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))))),
% 0.21/0.40 inference(bind,[status(th)],[])).
% 0.21/0.40 tff(176,plain,
% 0.21/0.40 (![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)))),
% 0.21/0.40 inference(quant_intro,[status(thm)],[175])).
% 0.21/0.40 tff(177,axiom,(![B: $i, A: $i, C: $i] : (((~greater(A, B)) | (~greater(B, C))) | greater(A, C))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','mp_greater_transitivity_30')).
% 0.21/0.40 tff(178,plain,
% 0.21/0.40 (![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))),
% 0.21/0.40 inference(modus_ponens,[status(thm)],[177, 176])).
% 0.21/0.40 tff(179,plain,
% 0.21/0.40 (![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))),
% 0.21/0.40 inference(modus_ponens,[status(thm)],[178, 174])).
% 0.21/0.40 tff(180,plain,(
% 0.21/0.40 ![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))),
% 0.21/0.40 inference(skolemize,[status(sab)],[179])).
% 0.21/0.40 tff(181,plain,
% 0.21/0.40 (![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))),
% 0.21/0.40 inference(modus_ponens,[status(thm)],[180, 173])).
% 0.21/0.40 tff(182,plain,
% 0.21/0.40 (((~![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))))),
% 0.21/0.40 inference(rewrite,[status(thm)],[])).
% 0.21/0.40 tff(183,plain,
% 0.21/0.40 ((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))))),
% 0.21/0.40 inference(rewrite,[status(thm)],[])).
% 0.21/0.40 tff(184,plain,
% 0.21/0.40 (((~![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)))))),
% 0.21/0.41 inference(monotonicity,[status(thm)],[183])).
% 0.21/0.41 tff(185,plain,
% 0.21/0.41 (((~![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))))),
% 0.21/0.41 inference(transitivity,[status(thm)],[184, 182])).
% 0.21/0.41 tff(186,plain,
% 0.21/0.41 ((~![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))))),
% 0.21/0.41 inference(quant_inst,[status(thm)],[])).
% 0.21/0.41 tff(187,plain,
% 0.21/0.41 ((~![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)))),
% 0.21/0.41 inference(modus_ponens,[status(thm)],[186, 185])).
% 0.21/0.41 tff(188,plain,
% 0.21/0.41 (greater(end_time(sk1(sk3)), critical_point(sk1(sk3)))),
% 0.21/0.41 inference(unit_resolution,[status(thm)],[187, 181, 102, 172])).
% 0.21/0.41 tff(189,plain,
% 0.21/0.41 (((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | selection_favors(efficient_producers, first_movers, B) | (~greater(B, critical_point(A))))) | (selection_favors(efficient_producers, first_movers, end_time(sk1(sk3))) | (~environment(sk1(sk3))) | (~in_environment(sk1(sk3), end_time(sk1(sk3)))) | (~greater(end_time(sk1(sk3)), critical_point(sk1(sk3)))))) <=> ((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | selection_favors(efficient_producers, first_movers, B) | (~greater(B, critical_point(A))))) | selection_favors(efficient_producers, first_movers, end_time(sk1(sk3))) | (~environment(sk1(sk3))) | (~in_environment(sk1(sk3), end_time(sk1(sk3)))) | (~greater(end_time(sk1(sk3)), critical_point(sk1(sk3)))))),
% 0.21/0.41 inference(rewrite,[status(thm)],[])).
% 0.21/0.41 tff(190,plain,
% 0.21/0.41 (((~in_environment(sk1(sk3), end_time(sk1(sk3)))) | (~environment(sk1(sk3))) | selection_favors(efficient_producers, first_movers, end_time(sk1(sk3))) | (~greater(end_time(sk1(sk3)), critical_point(sk1(sk3))))) <=> (selection_favors(efficient_producers, first_movers, end_time(sk1(sk3))) | (~environment(sk1(sk3))) | (~in_environment(sk1(sk3), end_time(sk1(sk3)))) | (~greater(end_time(sk1(sk3)), critical_point(sk1(sk3)))))),
% 0.21/0.41 inference(rewrite,[status(thm)],[])).
% 0.21/0.41 tff(191,plain,
% 0.21/0.41 (((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | selection_favors(efficient_producers, first_movers, B) | (~greater(B, critical_point(A))))) | ((~in_environment(sk1(sk3), end_time(sk1(sk3)))) | (~environment(sk1(sk3))) | selection_favors(efficient_producers, first_movers, end_time(sk1(sk3))) | (~greater(end_time(sk1(sk3)), critical_point(sk1(sk3)))))) <=> ((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | selection_favors(efficient_producers, first_movers, B) | (~greater(B, critical_point(A))))) | (selection_favors(efficient_producers, first_movers, end_time(sk1(sk3))) | (~environment(sk1(sk3))) | (~in_environment(sk1(sk3), end_time(sk1(sk3)))) | (~greater(end_time(sk1(sk3)), critical_point(sk1(sk3))))))),
% 0.21/0.41 inference(monotonicity,[status(thm)],[190])).
% 0.21/0.41 tff(192,plain,
% 0.21/0.41 (((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | selection_favors(efficient_producers, first_movers, B) | (~greater(B, critical_point(A))))) | ((~in_environment(sk1(sk3), end_time(sk1(sk3)))) | (~environment(sk1(sk3))) | selection_favors(efficient_producers, first_movers, end_time(sk1(sk3))) | (~greater(end_time(sk1(sk3)), critical_point(sk1(sk3)))))) <=> ((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | selection_favors(efficient_producers, first_movers, B) | (~greater(B, critical_point(A))))) | selection_favors(efficient_producers, first_movers, end_time(sk1(sk3))) | (~environment(sk1(sk3))) | (~in_environment(sk1(sk3), end_time(sk1(sk3)))) | (~greater(end_time(sk1(sk3)), critical_point(sk1(sk3)))))),
% 0.21/0.41 inference(transitivity,[status(thm)],[191, 189])).
% 0.21/0.41 tff(193,plain,
% 0.21/0.41 ((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | selection_favors(efficient_producers, first_movers, B) | (~greater(B, critical_point(A))))) | ((~in_environment(sk1(sk3), end_time(sk1(sk3)))) | (~environment(sk1(sk3))) | selection_favors(efficient_producers, first_movers, end_time(sk1(sk3))) | (~greater(end_time(sk1(sk3)), critical_point(sk1(sk3)))))),
% 0.21/0.41 inference(quant_inst,[status(thm)],[])).
% 0.21/0.41 tff(194,plain,
% 0.21/0.41 ((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | selection_favors(efficient_producers, first_movers, B) | (~greater(B, critical_point(A))))) | selection_favors(efficient_producers, first_movers, end_time(sk1(sk3))) | (~environment(sk1(sk3))) | (~in_environment(sk1(sk3), end_time(sk1(sk3)))) | (~greater(end_time(sk1(sk3)), critical_point(sk1(sk3))))),
% 0.21/0.41 inference(modus_ponens,[status(thm)],[193, 192])).
% 0.21/0.41 tff(195,plain,
% 0.21/0.41 (~in_environment(sk1(sk3), end_time(sk1(sk3)))),
% 0.21/0.41 inference(unit_resolution,[status(thm)],[194, 112, 65, 138, 188])).
% 0.21/0.41 tff(196,plain,
% 0.21/0.41 (^[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))))),
% 0.21/0.41 inference(bind,[status(th)],[])).
% 0.21/0.41 tff(197,plain,
% 0.21/0.41 (![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)))),
% 0.21/0.41 inference(quant_intro,[status(thm)],[196])).
% 0.21/0.41 tff(198,plain,
% 0.21/0.41 (![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)))),
% 0.21/0.41 inference(rewrite,[status(thm)],[])).
% 0.21/0.41 tff(199,plain,
% 0.21/0.41 (^[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)))))),
% 0.21/0.41 inference(bind,[status(th)],[])).
% 0.21/0.41 tff(200,plain,
% 0.21/0.41 (![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)))),
% 0.21/0.41 inference(quant_intro,[status(thm)],[199])).
% 0.21/0.41 tff(201,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/sandbox2/benchmark/theBenchmark.p','mp_time_in_environment_27')).
% 0.21/0.41 tff(202,plain,
% 0.21/0.41 (![B: $i, A: $i] : (in_environment(A, B) | (~greater_or_equal(end_time(A), B)) | (~greater_or_equal(B, start_time(A))) | (~environment(A)))),
% 0.21/0.41 inference(modus_ponens,[status(thm)],[201, 200])).
% 0.21/0.41 tff(203,plain,
% 0.21/0.41 (![B: $i, A: $i] : (in_environment(A, B) | (~greater_or_equal(end_time(A), B)) | (~greater_or_equal(B, start_time(A))) | (~environment(A)))),
% 0.21/0.41 inference(modus_ponens,[status(thm)],[202, 198])).
% 0.21/0.41 tff(204,plain,(
% 0.21/0.41 ![B: $i, A: $i] : (in_environment(A, B) | (~greater_or_equal(end_time(A), B)) | (~greater_or_equal(B, start_time(A))) | (~environment(A)))),
% 0.21/0.41 inference(skolemize,[status(sab)],[203])).
% 0.21/0.41 tff(205,plain,
% 0.21/0.41 (![B: $i, A: $i] : (in_environment(A, B) | (~greater_or_equal(end_time(A), B)) | (~greater_or_equal(B, start_time(A))) | (~environment(A)))),
% 0.21/0.41 inference(modus_ponens,[status(thm)],[204, 197])).
% 0.21/0.41 tff(206,plain,
% 0.21/0.41 (((~![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)))))),
% 0.21/0.41 inference(rewrite,[status(thm)],[])).
% 0.21/0.41 tff(207,plain,
% 0.21/0.41 ((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)))))),
% 0.21/0.41 inference(rewrite,[status(thm)],[])).
% 0.21/0.41 tff(208,plain,
% 0.21/0.41 (((~![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))))))),
% 0.21/0.41 inference(monotonicity,[status(thm)],[207])).
% 0.21/0.41 tff(209,plain,
% 0.21/0.41 (((~![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)))))),
% 0.21/0.41 inference(transitivity,[status(thm)],[208, 206])).
% 0.21/0.41 tff(210,plain,
% 0.21/0.41 ((~![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))))),
% 0.21/0.41 inference(quant_inst,[status(thm)],[])).
% 0.21/0.41 tff(211,plain,
% 0.21/0.41 ((~![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))))),
% 0.21/0.41 inference(modus_ponens,[status(thm)],[210, 209])).
% 0.21/0.41 tff(212,plain,
% 0.21/0.41 ((~greater_or_equal(end_time(sk1(sk3)), end_time(sk1(sk3)))) | (~greater_or_equal(end_time(sk1(sk3)), start_time(sk1(sk3))))),
% 0.21/0.41 inference(unit_resolution,[status(thm)],[211, 205, 65, 195])).
% 0.21/0.41 tff(213,plain,
% 0.21/0.41 (~greater_or_equal(end_time(sk1(sk3)), start_time(sk1(sk3)))),
% 0.21/0.41 inference(unit_resolution,[status(thm)],[212, 22])).
% 0.21/0.41 tff(214,plain,
% 0.21/0.41 (^[B: $i, A: $i] : refl(((~greater(A, B)) | greater_or_equal(A, B)) <=> ((~greater(A, B)) | greater_or_equal(A, B)))),
% 0.21/0.41 inference(bind,[status(th)],[])).
% 0.21/0.41 tff(215,plain,
% 0.21/0.41 (![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B)) <=> ![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))),
% 0.21/0.41 inference(quant_intro,[status(thm)],[214])).
% 0.21/0.41 tff(216,plain,
% 0.21/0.41 (![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B)) <=> ![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))),
% 0.21/0.41 inference(rewrite,[status(thm)],[])).
% 0.21/0.41 tff(217,axiom,(![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','mp_greater_or_equal_32')).
% 0.21/0.41 tff(218,plain,
% 0.21/0.41 (![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))),
% 0.21/0.41 inference(modus_ponens,[status(thm)],[217, 216])).
% 0.21/0.41 tff(219,plain,(
% 0.21/0.41 ![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))),
% 0.21/0.41 inference(skolemize,[status(sab)],[218])).
% 0.21/0.41 tff(220,plain,
% 0.21/0.41 (![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))),
% 0.21/0.41 inference(modus_ponens,[status(thm)],[219, 215])).
% 0.21/0.41 tff(221,plain,
% 0.21/0.41 (((~![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))))),
% 0.21/0.41 inference(rewrite,[status(thm)],[])).
% 0.21/0.41 tff(222,plain,
% 0.21/0.41 ((~![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))))),
% 0.21/0.41 inference(quant_inst,[status(thm)],[])).
% 0.21/0.41 tff(223,plain,
% 0.21/0.41 ((~![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)))),
% 0.21/0.41 inference(modus_ponens,[status(thm)],[222, 221])).
% 0.21/0.41 tff(224,plain,
% 0.21/0.41 (~greater(end_time(sk1(sk3)), start_time(sk1(sk3)))),
% 0.21/0.41 inference(unit_resolution,[status(thm)],[223, 220, 213])).
% 0.21/0.41 tff(225,assumption,(greater(critical_point(sk1(sk3)), start_time(sk1(sk3)))), introduced(assumption)).
% 0.21/0.41 tff(226,plain,
% 0.21/0.41 (((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | ((~greater(critical_point(sk1(sk3)), start_time(sk1(sk3)))) | (~greater(end_time(sk1(sk3)), critical_point(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(critical_point(sk1(sk3)), start_time(sk1(sk3)))) | (~greater(end_time(sk1(sk3)), critical_point(sk1(sk3)))) | greater(end_time(sk1(sk3)), start_time(sk1(sk3))))),
% 0.21/0.41 inference(rewrite,[status(thm)],[])).
% 0.21/0.41 tff(227,plain,
% 0.21/0.41 ((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(critical_point(sk1(sk3)), start_time(sk1(sk3)))) | (~greater(end_time(sk1(sk3)), critical_point(sk1(sk3)))) | greater(end_time(sk1(sk3)), start_time(sk1(sk3))))),
% 0.21/0.41 inference(rewrite,[status(thm)],[])).
% 0.21/0.41 tff(228,plain,
% 0.21/0.41 (((~![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(critical_point(sk1(sk3)), start_time(sk1(sk3)))) | (~greater(end_time(sk1(sk3)), critical_point(sk1(sk3)))) | greater(end_time(sk1(sk3)), start_time(sk1(sk3)))))),
% 0.21/0.42 inference(monotonicity,[status(thm)],[227])).
% 0.21/0.42 tff(229,plain,
% 0.21/0.42 (((~![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(critical_point(sk1(sk3)), start_time(sk1(sk3)))) | (~greater(end_time(sk1(sk3)), critical_point(sk1(sk3)))) | greater(end_time(sk1(sk3)), start_time(sk1(sk3))))),
% 0.21/0.42 inference(transitivity,[status(thm)],[228, 226])).
% 0.21/0.42 tff(230,plain,
% 0.21/0.42 ((~![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)))))),
% 0.21/0.42 inference(quant_inst,[status(thm)],[])).
% 0.21/0.42 tff(231,plain,
% 0.21/0.42 ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (~greater(critical_point(sk1(sk3)), start_time(sk1(sk3)))) | (~greater(end_time(sk1(sk3)), critical_point(sk1(sk3)))) | greater(end_time(sk1(sk3)), start_time(sk1(sk3)))),
% 0.21/0.42 inference(modus_ponens,[status(thm)],[230, 229])).
% 0.21/0.42 tff(232,plain,
% 0.21/0.42 ($false),
% 0.21/0.42 inference(unit_resolution,[status(thm)],[231, 181, 225, 188, 224])).
% 0.21/0.42 tff(233,plain,(~greater(critical_point(sk1(sk3)), start_time(sk1(sk3)))), inference(lemma,lemma(discharge,[]))).
% 0.21/0.42 tff(234,plain,
% 0.21/0.42 (^[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))))),
% 0.21/0.42 inference(bind,[status(th)],[])).
% 0.21/0.42 tff(235,plain,
% 0.21/0.42 (![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)))),
% 0.21/0.42 inference(quant_intro,[status(thm)],[234])).
% 0.21/0.42 tff(236,plain,
% 0.21/0.42 (![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)))),
% 0.21/0.42 inference(rewrite,[status(thm)],[])).
% 0.21/0.42 tff(237,axiom,(![A: $i] : ((~environment(A)) | greater_or_equal(critical_point(A), start_time(A)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','mp_time_of_critical_point_29')).
% 0.21/0.42 tff(238,plain,
% 0.21/0.42 (![A: $i] : ((~environment(A)) | greater_or_equal(critical_point(A), start_time(A)))),
% 0.21/0.42 inference(modus_ponens,[status(thm)],[237, 236])).
% 0.21/0.42 tff(239,plain,(
% 0.21/0.42 ![A: $i] : ((~environment(A)) | greater_or_equal(critical_point(A), start_time(A)))),
% 0.21/0.42 inference(skolemize,[status(sab)],[238])).
% 0.21/0.42 tff(240,plain,
% 0.21/0.42 (![A: $i] : ((~environment(A)) | greater_or_equal(critical_point(A), start_time(A)))),
% 0.21/0.42 inference(modus_ponens,[status(thm)],[239, 235])).
% 0.21/0.42 tff(241,plain,
% 0.21/0.42 (((~![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))))),
% 0.21/0.42 inference(rewrite,[status(thm)],[])).
% 0.21/0.42 tff(242,plain,
% 0.21/0.42 ((~![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))))),
% 0.21/0.42 inference(quant_inst,[status(thm)],[])).
% 0.21/0.42 tff(243,plain,
% 0.21/0.42 ((~![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)))),
% 0.21/0.42 inference(modus_ponens,[status(thm)],[242, 241])).
% 0.21/0.42 tff(244,plain,
% 0.21/0.42 (greater_or_equal(critical_point(sk1(sk3)), start_time(sk1(sk3)))),
% 0.21/0.42 inference(unit_resolution,[status(thm)],[243, 240, 65])).
% 0.21/0.42 tff(245,plain,
% 0.21/0.42 (((~![B: $i, A: $i] : ((A = B) | greater(A, B) | (~greater_or_equal(A, B)))) | ((critical_point(sk1(sk3)) = start_time(sk1(sk3))) | greater(critical_point(sk1(sk3)), start_time(sk1(sk3))) | (~greater_or_equal(critical_point(sk1(sk3)), start_time(sk1(sk3)))))) <=> ((~![B: $i, A: $i] : ((A = B) | greater(A, B) | (~greater_or_equal(A, B)))) | (critical_point(sk1(sk3)) = start_time(sk1(sk3))) | greater(critical_point(sk1(sk3)), start_time(sk1(sk3))) | (~greater_or_equal(critical_point(sk1(sk3)), start_time(sk1(sk3)))))),
% 0.21/0.42 inference(rewrite,[status(thm)],[])).
% 0.21/0.42 tff(246,plain,
% 0.21/0.42 ((~![B: $i, A: $i] : ((A = B) | greater(A, B) | (~greater_or_equal(A, B)))) | ((critical_point(sk1(sk3)) = start_time(sk1(sk3))) | greater(critical_point(sk1(sk3)), start_time(sk1(sk3))) | (~greater_or_equal(critical_point(sk1(sk3)), start_time(sk1(sk3)))))),
% 0.21/0.42 inference(quant_inst,[status(thm)],[])).
% 0.21/0.42 tff(247,plain,
% 0.21/0.42 ((~![B: $i, A: $i] : ((A = B) | greater(A, B) | (~greater_or_equal(A, B)))) | (critical_point(sk1(sk3)) = start_time(sk1(sk3))) | greater(critical_point(sk1(sk3)), start_time(sk1(sk3))) | (~greater_or_equal(critical_point(sk1(sk3)), start_time(sk1(sk3))))),
% 0.21/0.42 inference(modus_ponens,[status(thm)],[246, 245])).
% 0.21/0.42 tff(248,plain,
% 0.21/0.42 ((critical_point(sk1(sk3)) = start_time(sk1(sk3))) | greater(critical_point(sk1(sk3)), start_time(sk1(sk3)))),
% 0.21/0.42 inference(unit_resolution,[status(thm)],[247, 167, 244])).
% 0.21/0.42 tff(249,plain,
% 0.21/0.42 (critical_point(sk1(sk3)) = start_time(sk1(sk3))),
% 0.21/0.42 inference(unit_resolution,[status(thm)],[248, 233])).
% 0.21/0.42 tff(250,plain,
% 0.21/0.42 (in_environment(sk1(sk3), critical_point(sk1(sk3))) <=> in_environment(sk1(sk3), start_time(sk1(sk3)))),
% 0.21/0.42 inference(monotonicity,[status(thm)],[249])).
% 0.21/0.42 tff(251,plain,
% 0.21/0.42 (in_environment(sk1(sk3), start_time(sk1(sk3))) <=> in_environment(sk1(sk3), critical_point(sk1(sk3)))),
% 0.21/0.42 inference(symmetry,[status(thm)],[250])).
% 0.21/0.42 tff(252,plain,
% 0.21/0.42 ((~in_environment(sk1(sk3), start_time(sk1(sk3)))) <=> (~in_environment(sk1(sk3), critical_point(sk1(sk3))))),
% 0.21/0.42 inference(monotonicity,[status(thm)],[251])).
% 0.21/0.42 tff(253,plain,
% 0.21/0.42 (((~![B: $i, A: $i] : (greater_or_equal(end_time(A), B) | (~in_environment(A, B)) | (~environment(A)))) | ((~environment(sk1(sk3))) | greater_or_equal(end_time(sk1(sk3)), start_time(sk1(sk3))) | (~in_environment(sk1(sk3), start_time(sk1(sk3)))))) <=> ((~![B: $i, A: $i] : (greater_or_equal(end_time(A), B) | (~in_environment(A, B)) | (~environment(A)))) | (~environment(sk1(sk3))) | greater_or_equal(end_time(sk1(sk3)), start_time(sk1(sk3))) | (~in_environment(sk1(sk3), start_time(sk1(sk3)))))),
% 0.21/0.42 inference(rewrite,[status(thm)],[])).
% 0.21/0.42 tff(254,plain,
% 0.21/0.42 ((greater_or_equal(end_time(sk1(sk3)), start_time(sk1(sk3))) | (~in_environment(sk1(sk3), start_time(sk1(sk3)))) | (~environment(sk1(sk3)))) <=> ((~environment(sk1(sk3))) | greater_or_equal(end_time(sk1(sk3)), start_time(sk1(sk3))) | (~in_environment(sk1(sk3), start_time(sk1(sk3)))))),
% 0.21/0.42 inference(rewrite,[status(thm)],[])).
% 0.21/0.42 tff(255,plain,
% 0.21/0.42 (((~![B: $i, A: $i] : (greater_or_equal(end_time(A), B) | (~in_environment(A, B)) | (~environment(A)))) | (greater_or_equal(end_time(sk1(sk3)), start_time(sk1(sk3))) | (~in_environment(sk1(sk3), start_time(sk1(sk3)))) | (~environment(sk1(sk3))))) <=> ((~![B: $i, A: $i] : (greater_or_equal(end_time(A), B) | (~in_environment(A, B)) | (~environment(A)))) | ((~environment(sk1(sk3))) | greater_or_equal(end_time(sk1(sk3)), start_time(sk1(sk3))) | (~in_environment(sk1(sk3), start_time(sk1(sk3))))))),
% 0.21/0.42 inference(monotonicity,[status(thm)],[254])).
% 0.21/0.42 tff(256,plain,
% 0.21/0.42 (((~![B: $i, A: $i] : (greater_or_equal(end_time(A), B) | (~in_environment(A, B)) | (~environment(A)))) | (greater_or_equal(end_time(sk1(sk3)), start_time(sk1(sk3))) | (~in_environment(sk1(sk3), start_time(sk1(sk3)))) | (~environment(sk1(sk3))))) <=> ((~![B: $i, A: $i] : (greater_or_equal(end_time(A), B) | (~in_environment(A, B)) | (~environment(A)))) | (~environment(sk1(sk3))) | greater_or_equal(end_time(sk1(sk3)), start_time(sk1(sk3))) | (~in_environment(sk1(sk3), start_time(sk1(sk3)))))),
% 0.21/0.42 inference(transitivity,[status(thm)],[255, 253])).
% 0.21/0.42 tff(257,plain,
% 0.21/0.42 ((~![B: $i, A: $i] : (greater_or_equal(end_time(A), B) | (~in_environment(A, B)) | (~environment(A)))) | (greater_or_equal(end_time(sk1(sk3)), start_time(sk1(sk3))) | (~in_environment(sk1(sk3), start_time(sk1(sk3)))) | (~environment(sk1(sk3))))),
% 0.21/0.42 inference(quant_inst,[status(thm)],[])).
% 0.21/0.42 tff(258,plain,
% 0.21/0.42 ((~![B: $i, A: $i] : (greater_or_equal(end_time(A), B) | (~in_environment(A, B)) | (~environment(A)))) | (~environment(sk1(sk3))) | greater_or_equal(end_time(sk1(sk3)), start_time(sk1(sk3))) | (~in_environment(sk1(sk3), start_time(sk1(sk3))))),
% 0.21/0.42 inference(modus_ponens,[status(thm)],[257, 256])).
% 0.21/0.42 tff(259,plain,
% 0.21/0.42 (~in_environment(sk1(sk3), start_time(sk1(sk3)))),
% 0.21/0.42 inference(unit_resolution,[status(thm)],[258, 150, 65, 213])).
% 0.21/0.42 tff(260,plain,
% 0.21/0.42 (~in_environment(sk1(sk3), critical_point(sk1(sk3)))),
% 0.21/0.42 inference(modus_ponens,[status(thm)],[259, 252])).
% 0.21/0.42 tff(261,plain,
% 0.21/0.42 (((~![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))))),
% 0.21/0.42 inference(rewrite,[status(thm)],[])).
% 0.21/0.42 tff(262,plain,
% 0.21/0.42 ((~![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))))),
% 0.21/0.42 inference(quant_inst,[status(thm)],[])).
% 0.21/0.42 tff(263,plain,
% 0.21/0.42 ((~![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)))),
% 0.21/0.42 inference(modus_ponens,[status(thm)],[262, 261])).
% 0.21/0.42 tff(264,plain,
% 0.21/0.42 (greater_or_equal(end_time(sk1(sk3)), critical_point(sk1(sk3)))),
% 0.21/0.42 inference(unit_resolution,[status(thm)],[263, 220, 188])).
% 0.21/0.42 tff(265,plain,
% 0.21/0.42 (((~![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))) | (~greater_or_equal(critical_point(sk1(sk3)), start_time(sk1(sk3)))) | in_environment(sk1(sk3), critical_point(sk1(sk3))) | (~greater_or_equal(end_time(sk1(sk3)), critical_point(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))) | (~greater_or_equal(critical_point(sk1(sk3)), start_time(sk1(sk3)))) | in_environment(sk1(sk3), critical_point(sk1(sk3))) | (~greater_or_equal(end_time(sk1(sk3)), critical_point(sk1(sk3)))))),
% 0.21/0.42 inference(rewrite,[status(thm)],[])).
% 0.21/0.42 tff(266,plain,
% 0.21/0.42 ((in_environment(sk1(sk3), critical_point(sk1(sk3))) | (~greater_or_equal(end_time(sk1(sk3)), critical_point(sk1(sk3)))) | (~greater_or_equal(critical_point(sk1(sk3)), start_time(sk1(sk3)))) | (~environment(sk1(sk3)))) <=> ((~environment(sk1(sk3))) | (~greater_or_equal(critical_point(sk1(sk3)), start_time(sk1(sk3)))) | in_environment(sk1(sk3), critical_point(sk1(sk3))) | (~greater_or_equal(end_time(sk1(sk3)), critical_point(sk1(sk3)))))),
% 0.21/0.42 inference(rewrite,[status(thm)],[])).
% 0.21/0.42 tff(267,plain,
% 0.21/0.42 (((~![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), critical_point(sk1(sk3))) | (~greater_or_equal(end_time(sk1(sk3)), critical_point(sk1(sk3)))) | (~greater_or_equal(critical_point(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))) | (~greater_or_equal(critical_point(sk1(sk3)), start_time(sk1(sk3)))) | in_environment(sk1(sk3), critical_point(sk1(sk3))) | (~greater_or_equal(end_time(sk1(sk3)), critical_point(sk1(sk3))))))),
% 0.21/0.42 inference(monotonicity,[status(thm)],[266])).
% 0.21/0.42 tff(268,plain,
% 0.21/0.42 (((~![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), critical_point(sk1(sk3))) | (~greater_or_equal(end_time(sk1(sk3)), critical_point(sk1(sk3)))) | (~greater_or_equal(critical_point(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))) | (~greater_or_equal(critical_point(sk1(sk3)), start_time(sk1(sk3)))) | in_environment(sk1(sk3), critical_point(sk1(sk3))) | (~greater_or_equal(end_time(sk1(sk3)), critical_point(sk1(sk3)))))),
% 0.21/0.42 inference(transitivity,[status(thm)],[267, 265])).
% 0.21/0.42 tff(269,plain,
% 0.21/0.42 ((~![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), critical_point(sk1(sk3))) | (~greater_or_equal(end_time(sk1(sk3)), critical_point(sk1(sk3)))) | (~greater_or_equal(critical_point(sk1(sk3)), start_time(sk1(sk3)))) | (~environment(sk1(sk3))))),
% 0.21/0.42 inference(quant_inst,[status(thm)],[])).
% 0.21/0.42 tff(270,plain,
% 0.21/0.42 ((~![B: $i, A: $i] : (in_environment(A, B) | (~greater_or_equal(end_time(A), B)) | (~greater_or_equal(B, start_time(A))) | (~environment(A)))) | (~environment(sk1(sk3))) | (~greater_or_equal(critical_point(sk1(sk3)), start_time(sk1(sk3)))) | in_environment(sk1(sk3), critical_point(sk1(sk3))) | (~greater_or_equal(end_time(sk1(sk3)), critical_point(sk1(sk3))))),
% 0.21/0.42 inference(modus_ponens,[status(thm)],[269, 268])).
% 0.21/0.42 tff(271,plain,
% 0.21/0.42 (in_environment(sk1(sk3), critical_point(sk1(sk3))) | (~greater_or_equal(end_time(sk1(sk3)), critical_point(sk1(sk3))))),
% 0.21/0.42 inference(unit_resolution,[status(thm)],[270, 205, 65, 244])).
% 0.21/0.42 tff(272,plain,
% 0.21/0.42 (in_environment(sk1(sk3), critical_point(sk1(sk3)))),
% 0.21/0.42 inference(unit_resolution,[status(thm)],[271, 264])).
% 0.21/0.42 tff(273,plain,
% 0.21/0.42 ($false),
% 0.21/0.42 inference(unit_resolution,[status(thm)],[272, 260])).
% 0.21/0.42 % SZS output end Proof
%------------------------------------------------------------------------------