%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : MGT039-1 : TPTP v9.3.0. Released v2.4.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : run_E %s %d THM
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 8 06:24:04 AM UTC 2026
% Result : Unsatisfiable 0.09s 0.43s
% Output : Proof 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT039-1 : TPTP v9.3.0. Released v2.4.0.
% 0.00/0.03 % Command : run_E %s %d THM
% 0.09/0.36 % Computer : n011.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 7 12:55:02 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.43 % SZS status Unsatisfiable
% 0.09/0.43 % SZS output start Proof
% 0.09/0.43 tff(in_environment_type, type, (
% 0.09/0.43 in_environment: ( $i * $i ) > $o)).
% 0.09/0.43 tff(critical_point_type, type, (
% 0.09/0.43 critical_point: $i > $i)).
% 0.09/0.43 tff(sk1_type, type, (
% 0.09/0.43 sk1: $i > $i)).
% 0.09/0.43 tff(sk3_type, type, (
% 0.09/0.43 sk3: $i)).
% 0.09/0.43 tff(start_time_type, type, (
% 0.09/0.43 start_time: $i > $i)).
% 0.09/0.43 tff(greater_type, type, (
% 0.09/0.43 greater: ( $i * $i ) > $o)).
% 0.09/0.43 tff(end_time_type, type, (
% 0.09/0.43 end_time: $i > $i)).
% 0.09/0.43 tff(greater_or_equal_type, type, (
% 0.09/0.43 greater_or_equal: ( $i * $i ) > $o)).
% 0.09/0.43 tff(sk2_type, type, (
% 0.09/0.43 sk2: ( $i * $i ) > $i)).
% 0.09/0.43 tff(selection_favors_type, type, (
% 0.09/0.43 selection_favors: ( $i * $i * $i ) > $o)).
% 0.09/0.43 tff(first_movers_type, type, (
% 0.09/0.43 first_movers: $i)).
% 0.09/0.43 tff(efficient_producers_type, type, (
% 0.09/0.43 efficient_producers: $i)).
% 0.09/0.43 tff(observational_period_type, type, (
% 0.09/0.43 observational_period: $i > $o)).
% 0.09/0.43 tff(propagation_strategy_type, type, (
% 0.09/0.43 propagation_strategy: $i > $o)).
% 0.09/0.43 tff(environment_type, type, (
% 0.09/0.43 environment: $i > $o)).
% 0.09/0.43 tff(slow_change_type, type, (
% 0.09/0.43 slow_change: $i > $o)).
% 0.09/0.43 tff(1,assumption,(~greater_or_equal(end_time(sk1(sk3)), end_time(sk1(sk3)))), introduced(assumption)).
% 0.09/0.43 tff(2,plain,
% 0.09/0.43 (^[B: $i] : refl(greater_or_equal(B, B) <=> greater_or_equal(B, B))),
% 0.09/0.43 inference(bind,[status(th)],[])).
% 0.09/0.43 tff(3,plain,
% 0.09/0.43 (![B: $i] : greater_or_equal(B, B) <=> ![B: $i] : greater_or_equal(B, B)),
% 0.09/0.43 inference(quant_intro,[status(thm)],[2])).
% 0.09/0.43 tff(4,plain,
% 0.09/0.43 (![B: $i] : greater_or_equal(B, B) <=> ![B: $i] : greater_or_equal(B, B)),
% 0.09/0.43 inference(rewrite,[status(thm)],[])).
% 0.09/0.43 tff(5,plain,
% 0.09/0.43 (![B: $i, A: $i] : greater_or_equal(B, B) <=> ![B: $i] : greater_or_equal(B, B)),
% 0.09/0.43 inference(elim_unused_vars,[status(thm)],[])).
% 0.09/0.43 tff(6,plain,
% 0.09/0.43 (![B: $i, A: $i] : ((~(A = B)) | greater_or_equal(A, B)) <=> ![B: $i, A: $i] : greater_or_equal(B, B)),
% 0.09/0.43 inference(destructive_equality_resolution,[status(thm)],[])).
% 0.09/0.43 tff(7,plain,
% 0.09/0.43 (![B: $i, A: $i] : ((~(A = B)) | greater_or_equal(A, B)) <=> ![B: $i] : greater_or_equal(B, B)),
% 0.09/0.43 inference(transitivity,[status(thm)],[6, 5])).
% 0.09/0.43 tff(8,axiom,(![B: $i, A: $i] : ((~(A = B)) | greater_or_equal(A, B))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','mp_greater_or_equal_33')).
% 0.09/0.43 tff(9,plain,
% 0.09/0.43 (![B: $i] : greater_or_equal(B, B)),
% 0.09/0.43 inference(modus_ponens,[status(thm)],[8, 7])).
% 0.09/0.43 tff(10,plain,
% 0.09/0.43 (![B: $i] : greater_or_equal(B, B)),
% 0.09/0.43 inference(modus_ponens,[status(thm)],[9, 4])).
% 0.09/0.43 tff(11,plain,(
% 0.09/0.43 ![B: $i] : greater_or_equal(B, B)),
% 0.09/0.43 inference(skolemize,[status(sab)],[10])).
% 0.09/0.43 tff(12,plain,
% 0.09/0.43 (![B: $i] : greater_or_equal(B, B)),
% 0.09/0.43 inference(modus_ponens,[status(thm)],[11, 3])).
% 0.09/0.43 tff(13,plain,
% 0.09/0.43 ((~![B: $i] : greater_or_equal(B, B)) | greater_or_equal(end_time(sk1(sk3)), end_time(sk1(sk3)))),
% 0.09/0.43 inference(quant_inst,[status(thm)],[])).
% 0.09/0.43 tff(14,plain,
% 0.09/0.43 ($false),
% 0.09/0.43 inference(unit_resolution,[status(thm)],[13, 12, 1])).
% 0.09/0.43 tff(15,plain,(greater_or_equal(end_time(sk1(sk3)), end_time(sk1(sk3)))), inference(lemma,lemma(discharge,[]))).
% 0.09/0.43 tff(16,assumption,(end_time(sk1(sk3)) = sk2(sk1(sk3), sk3)), introduced(assumption)).
% 0.09/0.43 tff(17,plain,
% 0.09/0.43 (selection_favors(efficient_producers, first_movers, end_time(sk1(sk3))) <=> selection_favors(efficient_producers, first_movers, sk2(sk1(sk3), sk3))),
% 0.09/0.43 inference(monotonicity,[status(thm)],[16])).
% 0.09/0.43 tff(18,plain,
% 0.09/0.43 (selection_favors(efficient_producers, first_movers, sk2(sk1(sk3), sk3)) <=> selection_favors(efficient_producers, first_movers, end_time(sk1(sk3)))),
% 0.09/0.43 inference(symmetry,[status(thm)],[17])).
% 0.09/0.43 tff(19,plain,
% 0.09/0.43 ((~selection_favors(efficient_producers, first_movers, sk3)) <=> (~selection_favors(efficient_producers, first_movers, sk3))),
% 0.09/0.43 inference(rewrite,[status(thm)],[])).
% 0.09/0.43 tff(20,axiom,(~selection_favors(efficient_producers, first_movers, sk3)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_t8_38')).
% 0.09/0.43 tff(21,plain,
% 0.09/0.43 (~selection_favors(efficient_producers, first_movers, sk3)),
% 0.09/0.43 inference(modus_ponens,[status(thm)],[20, 19])).
% 0.09/0.43 tff(22,plain,
% 0.09/0.43 (observational_period(sk3) <=> observational_period(sk3)),
% 0.09/0.43 inference(rewrite,[status(thm)],[])).
% 0.09/0.43 tff(23,axiom,(observational_period(sk3)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_t8_36')).
% 0.09/0.43 tff(24,plain,
% 0.09/0.43 (observational_period(sk3)),
% 0.09/0.43 inference(modus_ponens,[status(thm)],[23, 22])).
% 0.09/0.43 tff(25,plain,
% 0.09/0.43 (propagation_strategy(efficient_producers) <=> propagation_strategy(efficient_producers)),
% 0.09/0.43 inference(rewrite,[status(thm)],[])).
% 0.09/0.43 tff(26,axiom,(propagation_strategy(efficient_producers)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','mp_organizational_sets2_26')).
% 0.09/0.43 tff(27,plain,
% 0.09/0.43 (propagation_strategy(efficient_producers)),
% 0.09/0.43 inference(modus_ponens,[status(thm)],[26, 25])).
% 0.09/0.43 tff(28,plain,
% 0.09/0.43 (propagation_strategy(first_movers) <=> propagation_strategy(first_movers)),
% 0.09/0.43 inference(rewrite,[status(thm)],[])).
% 0.09/0.43 tff(29,axiom,(propagation_strategy(first_movers)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','mp_organizational_sets1_25')).
% 0.09/0.43 tff(30,plain,
% 0.09/0.43 (propagation_strategy(first_movers)),
% 0.09/0.43 inference(modus_ponens,[status(thm)],[29, 28])).
% 0.09/0.43 tff(31,plain,
% 0.09/0.43 (^[A: $i] : refl(((~propagation_strategy(first_movers)) | (~propagation_strategy(efficient_producers)) | 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))))),
% 0.09/0.43 inference(bind,[status(th)],[])).
% 0.09/0.43 tff(32,plain,
% 0.09/0.43 (![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] : ((~propagation_strategy(first_movers)) | (~propagation_strategy(efficient_producers)) | selection_favors(efficient_producers, first_movers, A) | (~observational_period(A)) | in_environment(A, sk1(A)))),
% 0.09/0.43 inference(quant_intro,[status(thm)],[31])).
% 0.09/0.43 tff(33,plain,
% 0.09/0.43 (![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] : ((~propagation_strategy(first_movers)) | (~propagation_strategy(efficient_producers)) | selection_favors(efficient_producers, first_movers, A) | (~observational_period(A)) | in_environment(A, sk1(A)))),
% 0.09/0.43 inference(rewrite,[status(thm)],[])).
% 0.09/0.43 tff(34,plain,
% 0.09/0.43 (^[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)))))),
% 0.09/0.43 inference(bind,[status(th)],[])).
% 0.09/0.43 tff(35,plain,
% 0.09/0.43 (![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)))),
% 0.09/0.43 inference(quant_intro,[status(thm)],[34])).
% 0.09/0.43 tff(36,axiom,(![A: $i] : (((((~observational_period(A)) | (~propagation_strategy(first_movers))) | (~propagation_strategy(efficient_producers))) | in_environment(A, sk1(A))) | selection_favors(efficient_producers, first_movers, A))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','mp3_favoured_trategy_21')).
% 0.09/0.43 tff(37,plain,
% 0.09/0.43 (![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)))),
% 0.09/0.43 inference(modus_ponens,[status(thm)],[36, 35])).
% 0.09/0.43 tff(38,plain,
% 0.09/0.43 (![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)))),
% 0.09/0.43 inference(modus_ponens,[status(thm)],[37, 33])).
% 0.09/0.43 tff(39,plain,(
% 0.09/0.43 ![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)))),
% 0.09/0.43 inference(skolemize,[status(sab)],[38])).
% 0.09/0.43 tff(40,plain,
% 0.09/0.43 (![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)))),
% 0.09/0.43 inference(modus_ponens,[status(thm)],[39, 32])).
% 0.09/0.43 tff(41,plain,
% 0.09/0.43 (((~![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)))) | ((~propagation_strategy(first_movers)) | (~propagation_strategy(efficient_producers)) | selection_favors(efficient_producers, first_movers, sk3) | (~observational_period(sk3)) | in_environment(sk3, sk1(sk3)))) <=> ((~![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)))) | (~propagation_strategy(first_movers)) | (~propagation_strategy(efficient_producers)) | selection_favors(efficient_producers, first_movers, sk3) | (~observational_period(sk3)) | in_environment(sk3, sk1(sk3)))),
% 0.09/0.43 inference(rewrite,[status(thm)],[])).
% 0.09/0.43 tff(42,plain,
% 0.09/0.43 ((~![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)))) | ((~propagation_strategy(first_movers)) | (~propagation_strategy(efficient_producers)) | selection_favors(efficient_producers, first_movers, sk3) | (~observational_period(sk3)) | in_environment(sk3, sk1(sk3)))),
% 0.09/0.43 inference(quant_inst,[status(thm)],[])).
% 0.09/0.43 tff(43,plain,
% 0.09/0.43 ((~![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)))) | (~propagation_strategy(first_movers)) | (~propagation_strategy(efficient_producers)) | selection_favors(efficient_producers, first_movers, sk3) | (~observational_period(sk3)) | in_environment(sk3, sk1(sk3))),
% 0.09/0.43 inference(modus_ponens,[status(thm)],[42, 41])).
% 0.09/0.43 tff(44,plain,
% 0.09/0.43 (in_environment(sk3, sk1(sk3))),
% 0.09/0.43 inference(unit_resolution,[status(thm)],[43, 40, 30, 27, 24, 21])).
% 0.09/0.43 tff(45,plain,
% 0.09/0.43 (^[A: $i] : refl(((~propagation_strategy(first_movers)) | (~propagation_strategy(efficient_producers)) | 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))))),
% 0.09/0.43 inference(bind,[status(th)],[])).
% 0.09/0.43 tff(46,plain,
% 0.09/0.43 (![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] : ((~propagation_strategy(first_movers)) | (~propagation_strategy(efficient_producers)) | selection_favors(efficient_producers, first_movers, A) | environment(sk1(A)) | (~observational_period(A)))),
% 0.09/0.43 inference(quant_intro,[status(thm)],[45])).
% 0.09/0.43 tff(47,plain,
% 0.09/0.43 (![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] : ((~propagation_strategy(first_movers)) | (~propagation_strategy(efficient_producers)) | selection_favors(efficient_producers, first_movers, A) | environment(sk1(A)) | (~observational_period(A)))),
% 0.09/0.43 inference(rewrite,[status(thm)],[])).
% 0.09/0.43 tff(48,plain,
% 0.09/0.43 (^[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)))))),
% 0.09/0.43 inference(bind,[status(th)],[])).
% 0.09/0.43 tff(49,plain,
% 0.09/0.43 (![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)))),
% 0.09/0.43 inference(quant_intro,[status(thm)],[48])).
% 0.09/0.43 tff(50,axiom,(![A: $i] : (((((~observational_period(A)) | (~propagation_strategy(first_movers))) | (~propagation_strategy(efficient_producers))) | environment(sk1(A))) | selection_favors(efficient_producers, first_movers, A))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','mp3_favoured_trategy_20')).
% 0.09/0.43 tff(51,plain,
% 0.09/0.43 (![A: $i] : ((~propagation_strategy(first_movers)) | (~propagation_strategy(efficient_producers)) | selection_favors(efficient_producers, first_movers, A) | environment(sk1(A)) | (~observational_period(A)))),
% 0.09/0.43 inference(modus_ponens,[status(thm)],[50, 49])).
% 0.09/0.43 tff(52,plain,
% 0.09/0.43 (![A: $i] : ((~propagation_strategy(first_movers)) | (~propagation_strategy(efficient_producers)) | selection_favors(efficient_producers, first_movers, A) | environment(sk1(A)) | (~observational_period(A)))),
% 0.09/0.43 inference(modus_ponens,[status(thm)],[51, 47])).
% 0.09/0.43 tff(53,plain,(
% 0.09/0.43 ![A: $i] : ((~propagation_strategy(first_movers)) | (~propagation_strategy(efficient_producers)) | selection_favors(efficient_producers, first_movers, A) | environment(sk1(A)) | (~observational_period(A)))),
% 0.09/0.43 inference(skolemize,[status(sab)],[52])).
% 0.09/0.43 tff(54,plain,
% 0.09/0.43 (![A: $i] : ((~propagation_strategy(first_movers)) | (~propagation_strategy(efficient_producers)) | selection_favors(efficient_producers, first_movers, A) | environment(sk1(A)) | (~observational_period(A)))),
% 0.09/0.43 inference(modus_ponens,[status(thm)],[53, 46])).
% 0.09/0.43 tff(55,plain,
% 0.09/0.43 (((~![A: $i] : ((~propagation_strategy(first_movers)) | (~propagation_strategy(efficient_producers)) | 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, sk3) | environment(sk1(sk3)) | (~observational_period(sk3)))) <=> ((~![A: $i] : ((~propagation_strategy(first_movers)) | (~propagation_strategy(efficient_producers)) | 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, sk3) | environment(sk1(sk3)) | (~observational_period(sk3)))),
% 0.09/0.43 inference(rewrite,[status(thm)],[])).
% 0.09/0.43 tff(56,plain,
% 0.09/0.43 ((~![A: $i] : ((~propagation_strategy(first_movers)) | (~propagation_strategy(efficient_producers)) | 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, sk3) | environment(sk1(sk3)) | (~observational_period(sk3)))),
% 0.09/0.43 inference(quant_inst,[status(thm)],[])).
% 0.09/0.43 tff(57,plain,
% 0.09/0.43 ((~![A: $i] : ((~propagation_strategy(first_movers)) | (~propagation_strategy(efficient_producers)) | 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, sk3) | environment(sk1(sk3)) | (~observational_period(sk3))),
% 0.09/0.43 inference(modus_ponens,[status(thm)],[56, 55])).
% 0.09/0.43 tff(58,plain,
% 0.09/0.43 (environment(sk1(sk3))),
% 0.09/0.43 inference(unit_resolution,[status(thm)],[57, 54, 30, 27, 24, 21])).
% 0.09/0.43 tff(59,plain,
% 0.09/0.43 (slow_change(sk3) <=> slow_change(sk3)),
% 0.09/0.43 inference(rewrite,[status(thm)],[])).
% 0.09/0.43 tff(60,axiom,(slow_change(sk3)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_t8_37')).
% 0.09/0.43 tff(61,plain,
% 0.09/0.43 (slow_change(sk3)),
% 0.09/0.43 inference(modus_ponens,[status(thm)],[60, 59])).
% 0.09/0.43 tff(62,plain,
% 0.09/0.43 (^[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))))),
% 0.09/0.43 inference(bind,[status(th)],[])).
% 0.09/0.43 tff(63,plain,
% 0.09/0.43 (![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)))),
% 0.09/0.43 inference(quant_intro,[status(thm)],[62])).
% 0.09/0.43 tff(64,plain,
% 0.09/0.43 (![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)))),
% 0.09/0.43 inference(rewrite,[status(thm)],[])).
% 0.09/0.43 tff(65,plain,
% 0.09/0.43 (^[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)))))),
% 0.09/0.43 inference(bind,[status(th)],[])).
% 0.09/0.43 tff(66,plain,
% 0.09/0.43 (![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)))),
% 0.09/0.43 inference(quant_intro,[status(thm)],[65])).
% 0.09/0.43 tff(67,axiom,(![B: $i, A: $i] : (((((~observational_period(A)) | (~slow_change(A))) | (~environment(B))) | (~in_environment(A, B))) | in_environment(B, sk2(B, A)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','mp4_critical_point_23')).
% 0.09/0.43 tff(68,plain,
% 0.09/0.43 (![B: $i, A: $i] : ((~observational_period(A)) | in_environment(B, sk2(B, A)) | (~in_environment(A, B)) | (~environment(B)) | (~slow_change(A)))),
% 0.09/0.44 inference(modus_ponens,[status(thm)],[67, 66])).
% 0.09/0.44 tff(69,plain,
% 0.09/0.44 (![B: $i, A: $i] : ((~observational_period(A)) | in_environment(B, sk2(B, A)) | (~in_environment(A, B)) | (~environment(B)) | (~slow_change(A)))),
% 0.09/0.44 inference(modus_ponens,[status(thm)],[68, 64])).
% 0.09/0.44 tff(70,plain,(
% 0.09/0.44 ![B: $i, A: $i] : ((~observational_period(A)) | in_environment(B, sk2(B, A)) | (~in_environment(A, B)) | (~environment(B)) | (~slow_change(A)))),
% 0.09/0.44 inference(skolemize,[status(sab)],[69])).
% 0.09/0.44 tff(71,plain,
% 0.09/0.44 (![B: $i, A: $i] : ((~observational_period(A)) | in_environment(B, sk2(B, A)) | (~in_environment(A, B)) | (~environment(B)) | (~slow_change(A)))),
% 0.09/0.44 inference(modus_ponens,[status(thm)],[70, 63])).
% 0.09/0.44 tff(72,plain,
% 0.09/0.44 (((~![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)))),
% 0.09/0.44 inference(rewrite,[status(thm)],[])).
% 0.09/0.44 tff(73,plain,
% 0.09/0.44 (((~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)))),
% 0.09/0.44 inference(rewrite,[status(thm)],[])).
% 0.09/0.44 tff(74,plain,
% 0.09/0.44 (((~![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))))),
% 0.09/0.44 inference(monotonicity,[status(thm)],[73])).
% 0.09/0.44 tff(75,plain,
% 0.09/0.44 (((~![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)))),
% 0.09/0.44 inference(transitivity,[status(thm)],[74, 72])).
% 0.09/0.44 tff(76,plain,
% 0.09/0.44 ((~![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)))),
% 0.09/0.44 inference(quant_inst,[status(thm)],[])).
% 0.09/0.44 tff(77,plain,
% 0.09/0.44 ((~![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))),
% 0.09/0.44 inference(modus_ponens,[status(thm)],[76, 75])).
% 0.09/0.44 tff(78,plain,
% 0.09/0.44 (in_environment(sk1(sk3), sk2(sk1(sk3), sk3))),
% 0.09/0.44 inference(unit_resolution,[status(thm)],[77, 71, 24, 61, 58, 44])).
% 0.09/0.44 tff(79,plain,
% 0.09/0.44 (^[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))))),
% 0.09/0.44 inference(bind,[status(th)],[])).
% 0.09/0.44 tff(80,plain,
% 0.09/0.44 (![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)))),
% 0.09/0.44 inference(quant_intro,[status(thm)],[79])).
% 0.09/0.44 tff(81,plain,
% 0.09/0.44 (![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)))),
% 0.09/0.44 inference(rewrite,[status(thm)],[])).
% 0.09/0.44 tff(82,plain,
% 0.09/0.44 (^[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)))))),
% 0.09/0.44 inference(bind,[status(th)],[])).
% 0.09/0.44 tff(83,plain,
% 0.09/0.44 (![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)))),
% 0.09/0.44 inference(quant_intro,[status(thm)],[82])).
% 0.09/0.44 tff(84,axiom,(![B: $i, A: $i] : (((((~observational_period(A)) | (~slow_change(A))) | (~environment(B))) | (~in_environment(A, B))) | greater(sk2(B, A), critical_point(B)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','mp4_critical_point_24')).
% 0.09/0.44 tff(85,plain,
% 0.09/0.44 (![B: $i, A: $i] : ((~observational_period(A)) | (~in_environment(A, B)) | (~environment(B)) | (~slow_change(A)) | greater(sk2(B, A), critical_point(B)))),
% 0.09/0.44 inference(modus_ponens,[status(thm)],[84, 83])).
% 0.09/0.44 tff(86,plain,
% 0.09/0.44 (![B: $i, A: $i] : ((~observational_period(A)) | (~in_environment(A, B)) | (~environment(B)) | (~slow_change(A)) | greater(sk2(B, A), critical_point(B)))),
% 0.09/0.44 inference(modus_ponens,[status(thm)],[85, 81])).
% 0.09/0.44 tff(87,plain,(
% 0.09/0.44 ![B: $i, A: $i] : ((~observational_period(A)) | (~in_environment(A, B)) | (~environment(B)) | (~slow_change(A)) | greater(sk2(B, A), critical_point(B)))),
% 0.09/0.44 inference(skolemize,[status(sab)],[86])).
% 0.09/0.44 tff(88,plain,
% 0.09/0.44 (![B: $i, A: $i] : ((~observational_period(A)) | (~in_environment(A, B)) | (~environment(B)) | (~slow_change(A)) | greater(sk2(B, A), critical_point(B)))),
% 0.09/0.44 inference(modus_ponens,[status(thm)],[87, 80])).
% 0.09/0.44 tff(89,plain,
% 0.09/0.44 (((~![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))))),
% 0.09/0.44 inference(rewrite,[status(thm)],[])).
% 0.09/0.44 tff(90,plain,
% 0.09/0.44 (((~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))))),
% 0.09/0.44 inference(rewrite,[status(thm)],[])).
% 0.09/0.44 tff(91,plain,
% 0.09/0.44 (((~![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)))))),
% 0.09/0.44 inference(monotonicity,[status(thm)],[90])).
% 0.09/0.44 tff(92,plain,
% 0.09/0.44 (((~![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))))),
% 0.09/0.44 inference(transitivity,[status(thm)],[91, 89])).
% 0.09/0.44 tff(93,plain,
% 0.09/0.44 ((~![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))))),
% 0.09/0.44 inference(quant_inst,[status(thm)],[])).
% 0.09/0.44 tff(94,plain,
% 0.09/0.44 ((~![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)))),
% 0.09/0.44 inference(modus_ponens,[status(thm)],[93, 92])).
% 0.09/0.44 tff(95,plain,
% 0.09/0.44 (greater(sk2(sk1(sk3), sk3), critical_point(sk1(sk3)))),
% 0.09/0.44 inference(unit_resolution,[status(thm)],[94, 88, 24, 61, 58, 44])).
% 0.09/0.44 tff(96,plain,
% 0.09/0.44 (^[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)))))),
% 0.09/0.44 inference(bind,[status(th)],[])).
% 0.09/0.44 tff(97,plain,
% 0.09/0.44 (![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))))),
% 0.09/0.44 inference(quant_intro,[status(thm)],[96])).
% 0.09/0.44 tff(98,plain,
% 0.09/0.44 (![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))))),
% 0.09/0.44 inference(rewrite,[status(thm)],[])).
% 0.09/0.44 tff(99,plain,
% 0.09/0.44 (^[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))))))),
% 0.09/0.44 inference(bind,[status(th)],[])).
% 0.09/0.44 tff(100,plain,
% 0.09/0.44 (![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))))),
% 0.09/0.44 inference(quant_intro,[status(thm)],[99])).
% 0.09/0.44 tff(101,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/sandbox/benchmark/theBenchmark.p','l8_35')).
% 0.09/0.44 tff(102,plain,
% 0.09/0.44 (![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | selection_favors(efficient_producers, first_movers, B) | (~greater(B, critical_point(A))))),
% 0.09/0.44 inference(modus_ponens,[status(thm)],[101, 100])).
% 0.09/0.44 tff(103,plain,
% 0.09/0.44 (![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | selection_favors(efficient_producers, first_movers, B) | (~greater(B, critical_point(A))))),
% 0.09/0.44 inference(modus_ponens,[status(thm)],[102, 98])).
% 0.09/0.44 tff(104,plain,(
% 0.09/0.44 ![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | selection_favors(efficient_producers, first_movers, B) | (~greater(B, critical_point(A))))),
% 0.09/0.44 inference(skolemize,[status(sab)],[103])).
% 0.09/0.44 tff(105,plain,
% 0.09/0.44 (![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | selection_favors(efficient_producers, first_movers, B) | (~greater(B, critical_point(A))))),
% 0.09/0.44 inference(modus_ponens,[status(thm)],[104, 97])).
% 0.09/0.44 tff(106,plain,
% 0.09/0.44 (((~![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)))))),
% 0.09/0.44 inference(rewrite,[status(thm)],[])).
% 0.09/0.44 tff(107,plain,
% 0.09/0.44 (((~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)))))),
% 0.09/0.44 inference(rewrite,[status(thm)],[])).
% 0.09/0.44 tff(108,plain,
% 0.09/0.44 (((~![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))))))),
% 0.09/0.44 inference(monotonicity,[status(thm)],[107])).
% 0.09/0.44 tff(109,plain,
% 0.09/0.44 (((~![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)))))),
% 0.09/0.44 inference(transitivity,[status(thm)],[108, 106])).
% 0.09/0.44 tff(110,plain,
% 0.09/0.44 ((~![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)))))),
% 0.09/0.44 inference(quant_inst,[status(thm)],[])).
% 0.09/0.44 tff(111,plain,
% 0.09/0.44 ((~![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))))),
% 0.09/0.44 inference(modus_ponens,[status(thm)],[110, 109])).
% 0.09/0.44 tff(112,plain,
% 0.09/0.44 ((~in_environment(sk1(sk3), sk2(sk1(sk3), sk3))) | selection_favors(efficient_producers, first_movers, sk2(sk1(sk3), sk3))),
% 0.09/0.44 inference(unit_resolution,[status(thm)],[111, 105, 58, 95])).
% 0.09/0.44 tff(113,plain,
% 0.09/0.44 (selection_favors(efficient_producers, first_movers, sk2(sk1(sk3), sk3))),
% 0.09/0.44 inference(unit_resolution,[status(thm)],[112, 78])).
% 0.09/0.44 tff(114,plain,
% 0.09/0.44 (selection_favors(efficient_producers, first_movers, end_time(sk1(sk3)))),
% 0.09/0.44 inference(modus_ponens,[status(thm)],[113, 18])).
% 0.09/0.44 tff(115,plain,
% 0.09/0.44 (^[A: $i] : refl(((~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))))) <=> ((~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))))))),
% 0.09/0.45 inference(bind,[status(th)],[])).
% 0.09/0.45 tff(116,plain,
% 0.09/0.45 (![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] : ((~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)))))),
% 0.09/0.45 inference(quant_intro,[status(thm)],[115])).
% 0.09/0.45 tff(117,plain,
% 0.09/0.45 (![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] : ((~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)))))),
% 0.09/0.45 inference(rewrite,[status(thm)],[])).
% 0.09/0.45 tff(118,plain,
% 0.09/0.45 (^[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)))))))),
% 0.09/0.45 inference(bind,[status(th)],[])).
% 0.09/0.45 tff(119,plain,
% 0.09/0.45 (![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)))))),
% 0.09/0.45 inference(quant_intro,[status(thm)],[118])).
% 0.09/0.45 tff(120,axiom,(![A: $i] : (((((~observational_period(A)) | (~propagation_strategy(first_movers))) | (~propagation_strategy(efficient_producers))) | (~selection_favors(efficient_producers, first_movers, end_time(sk1(A))))) | selection_favors(efficient_producers, first_movers, A))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','mp3_favoured_trategy_22')).
% 0.09/0.45 tff(121,plain,
% 0.09/0.45 (![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)))))),
% 0.09/0.45 inference(modus_ponens,[status(thm)],[120, 119])).
% 0.09/0.45 tff(122,plain,
% 0.09/0.45 (![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)))))),
% 0.09/0.45 inference(modus_ponens,[status(thm)],[121, 117])).
% 0.09/0.45 tff(123,plain,(
% 0.09/0.45 ![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)))))),
% 0.09/0.45 inference(skolemize,[status(sab)],[122])).
% 0.09/0.45 tff(124,plain,
% 0.09/0.45 (![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)))))),
% 0.09/0.45 inference(modus_ponens,[status(thm)],[123, 116])).
% 0.09/0.45 tff(125,plain,
% 0.09/0.45 (((~![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)))))) | ((~propagation_strategy(first_movers)) | (~propagation_strategy(efficient_producers)) | selection_favors(efficient_producers, first_movers, sk3) | (~observational_period(sk3)) | (~selection_favors(efficient_producers, first_movers, end_time(sk1(sk3)))))) <=> ((~![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)))))) | (~propagation_strategy(first_movers)) | (~propagation_strategy(efficient_producers)) | selection_favors(efficient_producers, first_movers, sk3) | (~observational_period(sk3)) | (~selection_favors(efficient_producers, first_movers, end_time(sk1(sk3)))))),
% 0.09/0.45 inference(rewrite,[status(thm)],[])).
% 0.09/0.45 tff(126,plain,
% 0.09/0.45 ((~![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)))))) | ((~propagation_strategy(first_movers)) | (~propagation_strategy(efficient_producers)) | selection_favors(efficient_producers, first_movers, sk3) | (~observational_period(sk3)) | (~selection_favors(efficient_producers, first_movers, end_time(sk1(sk3)))))),
% 0.09/0.45 inference(quant_inst,[status(thm)],[])).
% 0.09/0.45 tff(127,plain,
% 0.09/0.45 ((~![A: $i] : ((~propagation_strategy(first_movers)) | (~propagation_strategy(efficient_producers)) | selection_favors(efficient_producers, first_movers, A) | (~observational_period(A)) | (~selection_favors(efficient_producers, first_movers, end_time(sk1(A)))))) | (~propagation_strategy(first_movers)) | (~propagation_strategy(efficient_producers)) | selection_favors(efficient_producers, first_movers, sk3) | (~observational_period(sk3)) | (~selection_favors(efficient_producers, first_movers, end_time(sk1(sk3))))),
% 0.09/0.45 inference(modus_ponens,[status(thm)],[126, 125])).
% 0.09/0.45 tff(128,plain,
% 0.09/0.45 (~selection_favors(efficient_producers, first_movers, end_time(sk1(sk3)))),
% 0.09/0.45 inference(unit_resolution,[status(thm)],[127, 124, 30, 27, 24, 21])).
% 0.09/0.45 tff(129,plain,
% 0.09/0.45 ($false),
% 0.09/0.45 inference(unit_resolution,[status(thm)],[128, 114])).
% 0.09/0.45 tff(130,plain,(~(end_time(sk1(sk3)) = sk2(sk1(sk3), sk3))), inference(lemma,lemma(discharge,[]))).
% 0.09/0.45 tff(131,plain,
% 0.09/0.45 (^[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))))),
% 0.09/0.45 inference(bind,[status(th)],[])).
% 0.09/0.45 tff(132,plain,
% 0.09/0.45 (![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)))),
% 0.09/0.45 inference(quant_intro,[status(thm)],[131])).
% 0.09/0.45 tff(133,plain,
% 0.09/0.45 (![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)))),
% 0.09/0.45 inference(rewrite,[status(thm)],[])).
% 0.09/0.45 tff(134,plain,
% 0.09/0.45 (^[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))))),
% 0.09/0.45 inference(bind,[status(th)],[])).
% 0.09/0.45 tff(135,plain,
% 0.09/0.45 (![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)))),
% 0.09/0.45 inference(quant_intro,[status(thm)],[134])).
% 0.09/0.45 tff(136,axiom,(![B: $i, A: $i] : (((~environment(A)) | (~in_environment(A, B))) | greater_or_equal(end_time(A), B))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','mp_environment_end_point_28')).
% 0.09/0.45 tff(137,plain,
% 0.09/0.45 (![B: $i, A: $i] : (greater_or_equal(end_time(A), B) | (~in_environment(A, B)) | (~environment(A)))),
% 0.09/0.45 inference(modus_ponens,[status(thm)],[136, 135])).
% 0.09/0.45 tff(138,plain,
% 0.09/0.45 (![B: $i, A: $i] : (greater_or_equal(end_time(A), B) | (~in_environment(A, B)) | (~environment(A)))),
% 0.09/0.45 inference(modus_ponens,[status(thm)],[137, 133])).
% 0.09/0.45 tff(139,plain,(
% 0.09/0.45 ![B: $i, A: $i] : (greater_or_equal(end_time(A), B) | (~in_environment(A, B)) | (~environment(A)))),
% 0.09/0.45 inference(skolemize,[status(sab)],[138])).
% 0.09/0.45 tff(140,plain,
% 0.09/0.45 (![B: $i, A: $i] : (greater_or_equal(end_time(A), B) | (~in_environment(A, B)) | (~environment(A)))),
% 0.09/0.45 inference(modus_ponens,[status(thm)],[139, 132])).
% 0.09/0.45 tff(141,plain,
% 0.09/0.45 (((~![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)))),
% 0.09/0.45 inference(rewrite,[status(thm)],[])).
% 0.09/0.45 tff(142,plain,
% 0.09/0.45 ((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)))),
% 0.09/0.45 inference(rewrite,[status(thm)],[])).
% 0.09/0.45 tff(143,plain,
% 0.09/0.45 (((~![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))))),
% 0.09/0.45 inference(monotonicity,[status(thm)],[142])).
% 0.09/0.45 tff(144,plain,
% 0.09/0.45 (((~![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)))),
% 0.09/0.45 inference(transitivity,[status(thm)],[143, 141])).
% 0.09/0.45 tff(145,plain,
% 0.09/0.45 ((~![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))))),
% 0.09/0.45 inference(quant_inst,[status(thm)],[])).
% 0.09/0.45 tff(146,plain,
% 0.09/0.45 ((~![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))),
% 0.09/0.45 inference(modus_ponens,[status(thm)],[145, 144])).
% 0.09/0.45 tff(147,plain,
% 0.09/0.45 (greater_or_equal(end_time(sk1(sk3)), sk2(sk1(sk3), sk3))),
% 0.09/0.45 inference(unit_resolution,[status(thm)],[146, 140, 58, 78])).
% 0.09/0.45 tff(148,plain,
% 0.09/0.45 (^[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))))),
% 0.09/0.45 inference(bind,[status(th)],[])).
% 0.09/0.45 tff(149,plain,
% 0.09/0.45 (![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)))),
% 0.09/0.45 inference(quant_intro,[status(thm)],[148])).
% 0.09/0.45 tff(150,plain,
% 0.09/0.45 (![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)))),
% 0.09/0.45 inference(rewrite,[status(thm)],[])).
% 0.09/0.45 tff(151,plain,
% 0.09/0.45 (^[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))))),
% 0.09/0.45 inference(bind,[status(th)],[])).
% 0.09/0.45 tff(152,plain,
% 0.09/0.45 (![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)))),
% 0.09/0.45 inference(quant_intro,[status(thm)],[151])).
% 0.09/0.45 tff(153,axiom,(![B: $i, A: $i] : (((~greater_or_equal(A, B)) | greater(A, B)) | (A = B))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','mp_greater_or_equal_31')).
% 0.09/0.45 tff(154,plain,
% 0.09/0.45 (![B: $i, A: $i] : ((A = B) | greater(A, B) | (~greater_or_equal(A, B)))),
% 0.09/0.45 inference(modus_ponens,[status(thm)],[153, 152])).
% 0.09/0.45 tff(155,plain,
% 0.09/0.45 (![B: $i, A: $i] : ((A = B) | greater(A, B) | (~greater_or_equal(A, B)))),
% 0.09/0.45 inference(modus_ponens,[status(thm)],[154, 150])).
% 0.09/0.45 tff(156,plain,(
% 0.09/0.45 ![B: $i, A: $i] : ((A = B) | greater(A, B) | (~greater_or_equal(A, B)))),
% 0.09/0.45 inference(skolemize,[status(sab)],[155])).
% 0.09/0.45 tff(157,plain,
% 0.09/0.45 (![B: $i, A: $i] : ((A = B) | greater(A, B) | (~greater_or_equal(A, B)))),
% 0.09/0.45 inference(modus_ponens,[status(thm)],[156, 149])).
% 0.09/0.45 tff(158,plain,
% 0.09/0.45 (((~![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))))),
% 0.09/0.45 inference(rewrite,[status(thm)],[])).
% 0.09/0.45 tff(159,plain,
% 0.09/0.45 ((~![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))))),
% 0.09/0.45 inference(quant_inst,[status(thm)],[])).
% 0.09/0.45 tff(160,plain,
% 0.09/0.45 ((~![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)))),
% 0.09/0.45 inference(modus_ponens,[status(thm)],[159, 158])).
% 0.09/0.45 tff(161,plain,
% 0.09/0.45 ((end_time(sk1(sk3)) = sk2(sk1(sk3), sk3)) | greater(end_time(sk1(sk3)), sk2(sk1(sk3), sk3))),
% 0.09/0.45 inference(unit_resolution,[status(thm)],[160, 157, 147])).
% 0.09/0.45 tff(162,plain,
% 0.09/0.45 (greater(end_time(sk1(sk3)), sk2(sk1(sk3), sk3))),
% 0.09/0.45 inference(unit_resolution,[status(thm)],[161, 130])).
% 0.09/0.45 tff(163,plain,
% 0.09/0.45 (![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)))),
% 0.09/0.45 inference(rewrite,[status(thm)],[])).
% 0.09/0.45 tff(164,plain,
% 0.09/0.45 (![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)))),
% 0.09/0.45 inference(rewrite,[status(thm)],[])).
% 0.09/0.45 tff(165,plain,
% 0.09/0.45 (^[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))))),
% 0.09/0.45 inference(bind,[status(th)],[])).
% 0.09/0.45 tff(166,plain,
% 0.09/0.45 (![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)))),
% 0.09/0.45 inference(quant_intro,[status(thm)],[165])).
% 0.09/0.45 tff(167,axiom,(![B: $i, A: $i, C: $i] : (((~greater(A, B)) | (~greater(B, C))) | greater(A, C))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','mp_greater_transitivity_30')).
% 0.09/0.45 tff(168,plain,
% 0.09/0.45 (![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))),
% 0.09/0.45 inference(modus_ponens,[status(thm)],[167, 166])).
% 0.09/0.45 tff(169,plain,
% 0.09/0.45 (![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))),
% 0.09/0.45 inference(modus_ponens,[status(thm)],[168, 164])).
% 0.09/0.45 tff(170,plain,(
% 0.09/0.45 ![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))),
% 0.09/0.45 inference(skolemize,[status(sab)],[169])).
% 0.09/0.45 tff(171,plain,
% 0.09/0.45 (![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))),
% 0.09/0.45 inference(modus_ponens,[status(thm)],[170, 163])).
% 0.09/0.45 tff(172,plain,
% 0.09/0.45 (((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | ((~greater(sk2(sk1(sk3), sk3), critical_point(sk1(sk3)))) | greater(end_time(sk1(sk3)), critical_point(sk1(sk3))) | (~greater(end_time(sk1(sk3)), sk2(sk1(sk3), sk3))))) <=> ((~![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))))),
% 0.09/0.45 inference(rewrite,[status(thm)],[])).
% 0.09/0.45 tff(173,plain,
% 0.09/0.45 ((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))))),
% 0.09/0.45 inference(rewrite,[status(thm)],[])).
% 0.09/0.46 tff(174,plain,
% 0.09/0.46 (((~![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)))))),
% 0.09/0.46 inference(monotonicity,[status(thm)],[173])).
% 0.09/0.46 tff(175,plain,
% 0.09/0.46 (((~![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))))),
% 0.09/0.46 inference(transitivity,[status(thm)],[174, 172])).
% 0.09/0.46 tff(176,plain,
% 0.09/0.46 ((~![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))))),
% 0.09/0.46 inference(quant_inst,[status(thm)],[])).
% 0.09/0.46 tff(177,plain,
% 0.09/0.46 ((~![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)))),
% 0.09/0.46 inference(modus_ponens,[status(thm)],[176, 175])).
% 0.09/0.46 tff(178,plain,
% 0.09/0.46 (greater(end_time(sk1(sk3)), critical_point(sk1(sk3)))),
% 0.09/0.46 inference(unit_resolution,[status(thm)],[177, 171, 95, 162])).
% 0.09/0.46 tff(179,plain,
% 0.09/0.46 (((~![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)))))),
% 0.09/0.46 inference(rewrite,[status(thm)],[])).
% 0.09/0.46 tff(180,plain,
% 0.09/0.46 (((~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)))))),
% 0.09/0.46 inference(rewrite,[status(thm)],[])).
% 0.09/0.46 tff(181,plain,
% 0.09/0.46 (((~![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))))))),
% 0.09/0.46 inference(monotonicity,[status(thm)],[180])).
% 0.09/0.46 tff(182,plain,
% 0.09/0.46 (((~![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)))))),
% 0.09/0.46 inference(transitivity,[status(thm)],[181, 179])).
% 0.09/0.46 tff(183,plain,
% 0.09/0.46 ((~![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)))))),
% 0.09/0.46 inference(quant_inst,[status(thm)],[])).
% 0.09/0.46 tff(184,plain,
% 0.09/0.46 ((~![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))))),
% 0.09/0.46 inference(modus_ponens,[status(thm)],[183, 182])).
% 0.09/0.46 tff(185,plain,
% 0.09/0.46 (~in_environment(sk1(sk3), end_time(sk1(sk3)))),
% 0.09/0.46 inference(unit_resolution,[status(thm)],[184, 105, 58, 128, 178])).
% 0.09/0.46 tff(186,plain,
% 0.09/0.46 (^[B: $i, A: $i] : refl((in_environment(A, B) | (~greater_or_equal(end_time(A), B)) | (~greater_or_equal(B, start_time(A))) | (~environment(A))) <=> (in_environment(A, B) | (~greater_or_equal(end_time(A), B)) | (~greater_or_equal(B, start_time(A))) | (~environment(A))))),
% 0.22/0.46 inference(bind,[status(th)],[])).
% 0.22/0.46 tff(187,plain,
% 0.22/0.46 (![B: $i, A: $i] : (in_environment(A, B) | (~greater_or_equal(end_time(A), B)) | (~greater_or_equal(B, start_time(A))) | (~environment(A))) <=> ![B: $i, A: $i] : (in_environment(A, B) | (~greater_or_equal(end_time(A), B)) | (~greater_or_equal(B, start_time(A))) | (~environment(A)))),
% 0.22/0.46 inference(quant_intro,[status(thm)],[186])).
% 0.22/0.46 tff(188,plain,
% 0.22/0.46 (![B: $i, A: $i] : (in_environment(A, B) | (~greater_or_equal(end_time(A), B)) | (~greater_or_equal(B, start_time(A))) | (~environment(A))) <=> ![B: $i, A: $i] : (in_environment(A, B) | (~greater_or_equal(end_time(A), B)) | (~greater_or_equal(B, start_time(A))) | (~environment(A)))),
% 0.22/0.46 inference(rewrite,[status(thm)],[])).
% 0.22/0.46 tff(189,plain,
% 0.22/0.46 (^[B: $i, A: $i] : trans(monotonicity(rewrite((((~environment(A)) | (~greater_or_equal(B, start_time(A)))) | (~greater_or_equal(end_time(A), B))) <=> ((~greater_or_equal(end_time(A), B)) | (~greater_or_equal(B, start_time(A))) | (~environment(A)))), (((((~environment(A)) | (~greater_or_equal(B, start_time(A)))) | (~greater_or_equal(end_time(A), B))) | in_environment(A, B)) <=> (((~greater_or_equal(end_time(A), B)) | (~greater_or_equal(B, start_time(A))) | (~environment(A))) | in_environment(A, B)))), rewrite((((~greater_or_equal(end_time(A), B)) | (~greater_or_equal(B, start_time(A))) | (~environment(A))) | in_environment(A, B)) <=> (in_environment(A, B) | (~greater_or_equal(end_time(A), B)) | (~greater_or_equal(B, start_time(A))) | (~environment(A)))), (((((~environment(A)) | (~greater_or_equal(B, start_time(A)))) | (~greater_or_equal(end_time(A), B))) | in_environment(A, B)) <=> (in_environment(A, B) | (~greater_or_equal(end_time(A), B)) | (~greater_or_equal(B, start_time(A))) | (~environment(A)))))),
% 0.22/0.46 inference(bind,[status(th)],[])).
% 0.22/0.46 tff(190,plain,
% 0.22/0.46 (![B: $i, A: $i] : ((((~environment(A)) | (~greater_or_equal(B, start_time(A)))) | (~greater_or_equal(end_time(A), B))) | in_environment(A, B)) <=> ![B: $i, A: $i] : (in_environment(A, B) | (~greater_or_equal(end_time(A), B)) | (~greater_or_equal(B, start_time(A))) | (~environment(A)))),
% 0.22/0.46 inference(quant_intro,[status(thm)],[189])).
% 0.22/0.46 tff(191,axiom,(![B: $i, A: $i] : ((((~environment(A)) | (~greater_or_equal(B, start_time(A)))) | (~greater_or_equal(end_time(A), B))) | in_environment(A, B))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','mp_time_in_environment_27')).
% 0.22/0.46 tff(192,plain,
% 0.22/0.46 (![B: $i, A: $i] : (in_environment(A, B) | (~greater_or_equal(end_time(A), B)) | (~greater_or_equal(B, start_time(A))) | (~environment(A)))),
% 0.22/0.46 inference(modus_ponens,[status(thm)],[191, 190])).
% 0.22/0.46 tff(193,plain,
% 0.22/0.46 (![B: $i, A: $i] : (in_environment(A, B) | (~greater_or_equal(end_time(A), B)) | (~greater_or_equal(B, start_time(A))) | (~environment(A)))),
% 0.22/0.46 inference(modus_ponens,[status(thm)],[192, 188])).
% 0.22/0.46 tff(194,plain,(
% 0.22/0.46 ![B: $i, A: $i] : (in_environment(A, B) | (~greater_or_equal(end_time(A), B)) | (~greater_or_equal(B, start_time(A))) | (~environment(A)))),
% 0.22/0.46 inference(skolemize,[status(sab)],[193])).
% 0.22/0.46 tff(195,plain,
% 0.22/0.46 (![B: $i, A: $i] : (in_environment(A, B) | (~greater_or_equal(end_time(A), B)) | (~greater_or_equal(B, start_time(A))) | (~environment(A)))),
% 0.22/0.46 inference(modus_ponens,[status(thm)],[194, 187])).
% 0.22/0.46 tff(196,plain,
% 0.22/0.46 (((~![B: $i, A: $i] : (in_environment(A, B) | (~greater_or_equal(end_time(A), B)) | (~greater_or_equal(B, start_time(A))) | (~environment(A)))) | ((~environment(sk1(sk3))) | in_environment(sk1(sk3), end_time(sk1(sk3))) | (~greater_or_equal(end_time(sk1(sk3)), end_time(sk1(sk3)))) | (~greater_or_equal(end_time(sk1(sk3)), start_time(sk1(sk3)))))) <=> ((~![B: $i, A: $i] : (in_environment(A, B) | (~greater_or_equal(end_time(A), B)) | (~greater_or_equal(B, start_time(A))) | (~environment(A)))) | (~environment(sk1(sk3))) | in_environment(sk1(sk3), end_time(sk1(sk3))) | (~greater_or_equal(end_time(sk1(sk3)), end_time(sk1(sk3)))) | (~greater_or_equal(end_time(sk1(sk3)), start_time(sk1(sk3)))))),
% 0.22/0.46 inference(rewrite,[status(thm)],[])).
% 0.22/0.46 tff(197,plain,
% 0.22/0.46 ((in_environment(sk1(sk3), end_time(sk1(sk3))) | (~greater_or_equal(end_time(sk1(sk3)), end_time(sk1(sk3)))) | (~greater_or_equal(end_time(sk1(sk3)), start_time(sk1(sk3)))) | (~environment(sk1(sk3)))) <=> ((~environment(sk1(sk3))) | in_environment(sk1(sk3), end_time(sk1(sk3))) | (~greater_or_equal(end_time(sk1(sk3)), end_time(sk1(sk3)))) | (~greater_or_equal(end_time(sk1(sk3)), start_time(sk1(sk3)))))),
% 0.22/0.46 inference(rewrite,[status(thm)],[])).
% 0.22/0.46 tff(198,plain,
% 0.22/0.46 (((~![B: $i, A: $i] : (in_environment(A, B) | (~greater_or_equal(end_time(A), B)) | (~greater_or_equal(B, start_time(A))) | (~environment(A)))) | (in_environment(sk1(sk3), end_time(sk1(sk3))) | (~greater_or_equal(end_time(sk1(sk3)), end_time(sk1(sk3)))) | (~greater_or_equal(end_time(sk1(sk3)), start_time(sk1(sk3)))) | (~environment(sk1(sk3))))) <=> ((~![B: $i, A: $i] : (in_environment(A, B) | (~greater_or_equal(end_time(A), B)) | (~greater_or_equal(B, start_time(A))) | (~environment(A)))) | ((~environment(sk1(sk3))) | in_environment(sk1(sk3), end_time(sk1(sk3))) | (~greater_or_equal(end_time(sk1(sk3)), end_time(sk1(sk3)))) | (~greater_or_equal(end_time(sk1(sk3)), start_time(sk1(sk3))))))),
% 0.22/0.46 inference(monotonicity,[status(thm)],[197])).
% 0.22/0.46 tff(199,plain,
% 0.22/0.46 (((~![B: $i, A: $i] : (in_environment(A, B) | (~greater_or_equal(end_time(A), B)) | (~greater_or_equal(B, start_time(A))) | (~environment(A)))) | (in_environment(sk1(sk3), end_time(sk1(sk3))) | (~greater_or_equal(end_time(sk1(sk3)), end_time(sk1(sk3)))) | (~greater_or_equal(end_time(sk1(sk3)), start_time(sk1(sk3)))) | (~environment(sk1(sk3))))) <=> ((~![B: $i, A: $i] : (in_environment(A, B) | (~greater_or_equal(end_time(A), B)) | (~greater_or_equal(B, start_time(A))) | (~environment(A)))) | (~environment(sk1(sk3))) | in_environment(sk1(sk3), end_time(sk1(sk3))) | (~greater_or_equal(end_time(sk1(sk3)), end_time(sk1(sk3)))) | (~greater_or_equal(end_time(sk1(sk3)), start_time(sk1(sk3)))))),
% 0.22/0.46 inference(transitivity,[status(thm)],[198, 196])).
% 0.22/0.46 tff(200,plain,
% 0.22/0.46 ((~![B: $i, A: $i] : (in_environment(A, B) | (~greater_or_equal(end_time(A), B)) | (~greater_or_equal(B, start_time(A))) | (~environment(A)))) | (in_environment(sk1(sk3), end_time(sk1(sk3))) | (~greater_or_equal(end_time(sk1(sk3)), end_time(sk1(sk3)))) | (~greater_or_equal(end_time(sk1(sk3)), start_time(sk1(sk3)))) | (~environment(sk1(sk3))))),
% 0.22/0.46 inference(quant_inst,[status(thm)],[])).
% 0.22/0.46 tff(201,plain,
% 0.22/0.46 ((~![B: $i, A: $i] : (in_environment(A, B) | (~greater_or_equal(end_time(A), B)) | (~greater_or_equal(B, start_time(A))) | (~environment(A)))) | (~environment(sk1(sk3))) | in_environment(sk1(sk3), end_time(sk1(sk3))) | (~greater_or_equal(end_time(sk1(sk3)), end_time(sk1(sk3)))) | (~greater_or_equal(end_time(sk1(sk3)), start_time(sk1(sk3))))),
% 0.22/0.46 inference(modus_ponens,[status(thm)],[200, 199])).
% 0.22/0.46 tff(202,plain,
% 0.22/0.46 ((~greater_or_equal(end_time(sk1(sk3)), end_time(sk1(sk3)))) | (~greater_or_equal(end_time(sk1(sk3)), start_time(sk1(sk3))))),
% 0.22/0.46 inference(unit_resolution,[status(thm)],[201, 195, 58, 185])).
% 0.22/0.46 tff(203,plain,
% 0.22/0.46 (~greater_or_equal(end_time(sk1(sk3)), start_time(sk1(sk3)))),
% 0.22/0.46 inference(unit_resolution,[status(thm)],[202, 15])).
% 0.22/0.46 tff(204,plain,
% 0.22/0.46 (^[B: $i, A: $i] : refl(((~greater(A, B)) | greater_or_equal(A, B)) <=> ((~greater(A, B)) | greater_or_equal(A, B)))),
% 0.22/0.46 inference(bind,[status(th)],[])).
% 0.22/0.46 tff(205,plain,
% 0.22/0.46 (![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B)) <=> ![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))),
% 0.22/0.46 inference(quant_intro,[status(thm)],[204])).
% 0.22/0.46 tff(206,plain,
% 0.22/0.46 (![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B)) <=> ![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))),
% 0.22/0.46 inference(rewrite,[status(thm)],[])).
% 0.22/0.46 tff(207,axiom,(![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','mp_greater_or_equal_32')).
% 0.22/0.46 tff(208,plain,
% 0.22/0.46 (![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))),
% 0.22/0.46 inference(modus_ponens,[status(thm)],[207, 206])).
% 0.22/0.46 tff(209,plain,(
% 0.22/0.46 ![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))),
% 0.22/0.46 inference(skolemize,[status(sab)],[208])).
% 0.22/0.46 tff(210,plain,
% 0.22/0.46 (![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))),
% 0.22/0.46 inference(modus_ponens,[status(thm)],[209, 205])).
% 0.22/0.46 tff(211,plain,
% 0.22/0.46 (((~![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))) | ((~greater(end_time(sk1(sk3)), start_time(sk1(sk3)))) | greater_or_equal(end_time(sk1(sk3)), start_time(sk1(sk3))))) <=> ((~![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))) | (~greater(end_time(sk1(sk3)), start_time(sk1(sk3)))) | greater_or_equal(end_time(sk1(sk3)), start_time(sk1(sk3))))),
% 0.22/0.46 inference(rewrite,[status(thm)],[])).
% 0.22/0.46 tff(212,plain,
% 0.22/0.46 ((~![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))) | ((~greater(end_time(sk1(sk3)), start_time(sk1(sk3)))) | greater_or_equal(end_time(sk1(sk3)), start_time(sk1(sk3))))),
% 0.22/0.46 inference(quant_inst,[status(thm)],[])).
% 0.22/0.46 tff(213,plain,
% 0.22/0.46 ((~![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))) | (~greater(end_time(sk1(sk3)), start_time(sk1(sk3)))) | greater_or_equal(end_time(sk1(sk3)), start_time(sk1(sk3)))),
% 0.22/0.46 inference(modus_ponens,[status(thm)],[212, 211])).
% 0.22/0.46 tff(214,plain,
% 0.22/0.46 (~greater(end_time(sk1(sk3)), start_time(sk1(sk3)))),
% 0.22/0.46 inference(unit_resolution,[status(thm)],[213, 210, 203])).
% 0.22/0.46 tff(215,assumption,(greater(critical_point(sk1(sk3)), start_time(sk1(sk3)))), introduced(assumption)).
% 0.22/0.46 tff(216,plain,
% 0.22/0.46 (((~![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))))),
% 0.22/0.46 inference(rewrite,[status(thm)],[])).
% 0.22/0.46 tff(217,plain,
% 0.22/0.46 ((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))))),
% 0.22/0.46 inference(rewrite,[status(thm)],[])).
% 0.22/0.46 tff(218,plain,
% 0.22/0.46 (((~![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)))))),
% 0.22/0.46 inference(monotonicity,[status(thm)],[217])).
% 0.22/0.46 tff(219,plain,
% 0.22/0.46 (((~![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))))),
% 0.22/0.46 inference(transitivity,[status(thm)],[218, 216])).
% 0.22/0.46 tff(220,plain,
% 0.22/0.46 ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(end_time(sk1(sk3)), start_time(sk1(sk3))) | (~greater(critical_point(sk1(sk3)), start_time(sk1(sk3)))) | (~greater(end_time(sk1(sk3)), critical_point(sk1(sk3)))))),
% 0.22/0.46 inference(quant_inst,[status(thm)],[])).
% 0.22/0.46 tff(221,plain,
% 0.22/0.46 ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (~greater(critical_point(sk1(sk3)), start_time(sk1(sk3)))) | (~greater(end_time(sk1(sk3)), critical_point(sk1(sk3)))) | greater(end_time(sk1(sk3)), start_time(sk1(sk3)))),
% 0.22/0.46 inference(modus_ponens,[status(thm)],[220, 219])).
% 0.22/0.46 tff(222,plain,
% 0.22/0.46 ($false),
% 0.22/0.46 inference(unit_resolution,[status(thm)],[221, 171, 215, 178, 214])).
% 0.22/0.46 tff(223,plain,(~greater(critical_point(sk1(sk3)), start_time(sk1(sk3)))), inference(lemma,lemma(discharge,[]))).
% 0.22/0.46 tff(224,plain,
% 0.22/0.46 (^[A: $i] : refl(((~environment(A)) | greater_or_equal(critical_point(A), start_time(A))) <=> ((~environment(A)) | greater_or_equal(critical_point(A), start_time(A))))),
% 0.22/0.46 inference(bind,[status(th)],[])).
% 0.22/0.46 tff(225,plain,
% 0.22/0.46 (![A: $i] : ((~environment(A)) | greater_or_equal(critical_point(A), start_time(A))) <=> ![A: $i] : ((~environment(A)) | greater_or_equal(critical_point(A), start_time(A)))),
% 0.22/0.46 inference(quant_intro,[status(thm)],[224])).
% 0.22/0.46 tff(226,plain,
% 0.22/0.46 (![A: $i] : ((~environment(A)) | greater_or_equal(critical_point(A), start_time(A))) <=> ![A: $i] : ((~environment(A)) | greater_or_equal(critical_point(A), start_time(A)))),
% 0.22/0.46 inference(rewrite,[status(thm)],[])).
% 0.22/0.46 tff(227,axiom,(![A: $i] : ((~environment(A)) | greater_or_equal(critical_point(A), start_time(A)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','mp_time_of_critical_point_29')).
% 0.22/0.46 tff(228,plain,
% 0.22/0.46 (![A: $i] : ((~environment(A)) | greater_or_equal(critical_point(A), start_time(A)))),
% 0.22/0.46 inference(modus_ponens,[status(thm)],[227, 226])).
% 0.22/0.46 tff(229,plain,(
% 0.22/0.46 ![A: $i] : ((~environment(A)) | greater_or_equal(critical_point(A), start_time(A)))),
% 0.22/0.46 inference(skolemize,[status(sab)],[228])).
% 0.22/0.46 tff(230,plain,
% 0.22/0.46 (![A: $i] : ((~environment(A)) | greater_or_equal(critical_point(A), start_time(A)))),
% 0.22/0.46 inference(modus_ponens,[status(thm)],[229, 225])).
% 0.22/0.46 tff(231,plain,
% 0.22/0.46 (((~![A: $i] : ((~environment(A)) | greater_or_equal(critical_point(A), start_time(A)))) | ((~environment(sk1(sk3))) | greater_or_equal(critical_point(sk1(sk3)), start_time(sk1(sk3))))) <=> ((~![A: $i] : ((~environment(A)) | greater_or_equal(critical_point(A), start_time(A)))) | (~environment(sk1(sk3))) | greater_or_equal(critical_point(sk1(sk3)), start_time(sk1(sk3))))),
% 0.22/0.46 inference(rewrite,[status(thm)],[])).
% 0.22/0.46 tff(232,plain,
% 0.22/0.46 ((~![A: $i] : ((~environment(A)) | greater_or_equal(critical_point(A), start_time(A)))) | ((~environment(sk1(sk3))) | greater_or_equal(critical_point(sk1(sk3)), start_time(sk1(sk3))))),
% 0.22/0.46 inference(quant_inst,[status(thm)],[])).
% 0.22/0.46 tff(233,plain,
% 0.22/0.46 ((~![A: $i] : ((~environment(A)) | greater_or_equal(critical_point(A), start_time(A)))) | (~environment(sk1(sk3))) | greater_or_equal(critical_point(sk1(sk3)), start_time(sk1(sk3)))),
% 0.22/0.46 inference(modus_ponens,[status(thm)],[232, 231])).
% 0.22/0.46 tff(234,plain,
% 0.22/0.46 (greater_or_equal(critical_point(sk1(sk3)), start_time(sk1(sk3)))),
% 0.22/0.46 inference(unit_resolution,[status(thm)],[233, 230, 58])).
% 0.22/0.46 tff(235,plain,
% 0.22/0.46 (((~![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)))))),
% 0.22/0.46 inference(rewrite,[status(thm)],[])).
% 0.22/0.46 tff(236,plain,
% 0.22/0.46 ((~![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)))))),
% 0.22/0.46 inference(quant_inst,[status(thm)],[])).
% 0.22/0.46 tff(237,plain,
% 0.22/0.46 ((~![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))))),
% 0.22/0.46 inference(modus_ponens,[status(thm)],[236, 235])).
% 0.22/0.46 tff(238,plain,
% 0.22/0.46 ((critical_point(sk1(sk3)) = start_time(sk1(sk3))) | greater(critical_point(sk1(sk3)), start_time(sk1(sk3)))),
% 0.22/0.46 inference(unit_resolution,[status(thm)],[237, 157, 234])).
% 0.22/0.46 tff(239,plain,
% 0.22/0.46 (critical_point(sk1(sk3)) = start_time(sk1(sk3))),
% 0.22/0.46 inference(unit_resolution,[status(thm)],[238, 223])).
% 0.22/0.46 tff(240,plain,
% 0.22/0.46 (in_environment(sk1(sk3), critical_point(sk1(sk3))) <=> in_environment(sk1(sk3), start_time(sk1(sk3)))),
% 0.22/0.46 inference(monotonicity,[status(thm)],[239])).
% 0.22/0.46 tff(241,plain,
% 0.22/0.46 (in_environment(sk1(sk3), start_time(sk1(sk3))) <=> in_environment(sk1(sk3), critical_point(sk1(sk3)))),
% 0.22/0.46 inference(symmetry,[status(thm)],[240])).
% 0.22/0.46 tff(242,plain,
% 0.22/0.46 ((~in_environment(sk1(sk3), start_time(sk1(sk3)))) <=> (~in_environment(sk1(sk3), critical_point(sk1(sk3))))),
% 0.22/0.46 inference(monotonicity,[status(thm)],[241])).
% 0.22/0.46 tff(243,plain,
% 0.22/0.46 (((~![B: $i, A: $i] : (greater_or_equal(end_time(A), B) | (~in_environment(A, B)) | (~environment(A)))) | ((~environment(sk1(sk3))) | 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)))))),
% 0.22/0.46 inference(rewrite,[status(thm)],[])).
% 0.22/0.46 tff(244,plain,
% 0.22/0.46 ((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)))))),
% 0.22/0.46 inference(rewrite,[status(thm)],[])).
% 0.22/0.46 tff(245,plain,
% 0.22/0.46 (((~![B: $i, A: $i] : (greater_or_equal(end_time(A), B) | (~in_environment(A, B)) | (~environment(A)))) | (greater_or_equal(end_time(sk1(sk3)), 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))))))),
% 0.22/0.47 inference(monotonicity,[status(thm)],[244])).
% 0.22/0.47 tff(246,plain,
% 0.22/0.47 (((~![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)))))),
% 0.22/0.47 inference(transitivity,[status(thm)],[245, 243])).
% 0.22/0.47 tff(247,plain,
% 0.22/0.47 ((~![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))))),
% 0.22/0.47 inference(quant_inst,[status(thm)],[])).
% 0.22/0.47 tff(248,plain,
% 0.22/0.47 ((~![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))))),
% 0.22/0.47 inference(modus_ponens,[status(thm)],[247, 246])).
% 0.22/0.47 tff(249,plain,
% 0.22/0.47 (~in_environment(sk1(sk3), start_time(sk1(sk3)))),
% 0.22/0.47 inference(unit_resolution,[status(thm)],[248, 140, 58, 203])).
% 0.22/0.47 tff(250,plain,
% 0.22/0.47 (~in_environment(sk1(sk3), critical_point(sk1(sk3)))),
% 0.22/0.47 inference(modus_ponens,[status(thm)],[249, 242])).
% 0.22/0.47 tff(251,plain,
% 0.22/0.47 (((~![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))) | ((~greater(end_time(sk1(sk3)), critical_point(sk1(sk3)))) | greater_or_equal(end_time(sk1(sk3)), critical_point(sk1(sk3))))) <=> ((~![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))) | (~greater(end_time(sk1(sk3)), critical_point(sk1(sk3)))) | greater_or_equal(end_time(sk1(sk3)), critical_point(sk1(sk3))))),
% 0.22/0.47 inference(rewrite,[status(thm)],[])).
% 0.22/0.47 tff(252,plain,
% 0.22/0.47 ((~![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))) | ((~greater(end_time(sk1(sk3)), critical_point(sk1(sk3)))) | greater_or_equal(end_time(sk1(sk3)), critical_point(sk1(sk3))))),
% 0.22/0.47 inference(quant_inst,[status(thm)],[])).
% 0.22/0.47 tff(253,plain,
% 0.22/0.47 ((~![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))) | (~greater(end_time(sk1(sk3)), critical_point(sk1(sk3)))) | greater_or_equal(end_time(sk1(sk3)), critical_point(sk1(sk3)))),
% 0.22/0.47 inference(modus_ponens,[status(thm)],[252, 251])).
% 0.22/0.47 tff(254,plain,
% 0.22/0.47 (greater_or_equal(end_time(sk1(sk3)), critical_point(sk1(sk3)))),
% 0.22/0.47 inference(unit_resolution,[status(thm)],[253, 210, 178])).
% 0.22/0.47 tff(255,plain,
% 0.22/0.47 (((~![B: $i, A: $i] : (in_environment(A, B) | (~greater_or_equal(end_time(A), B)) | (~greater_or_equal(B, start_time(A))) | (~environment(A)))) | ((~environment(sk1(sk3))) | (~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)))))),
% 0.22/0.47 inference(rewrite,[status(thm)],[])).
% 0.22/0.47 tff(256,plain,
% 0.22/0.47 ((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)))))),
% 0.22/0.47 inference(rewrite,[status(thm)],[])).
% 0.22/0.47 tff(257,plain,
% 0.22/0.47 (((~![B: $i, A: $i] : (in_environment(A, B) | (~greater_or_equal(end_time(A), B)) | (~greater_or_equal(B, start_time(A))) | (~environment(A)))) | (in_environment(sk1(sk3), 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))))))),
% 0.22/0.47 inference(monotonicity,[status(thm)],[256])).
% 0.22/0.47 tff(258,plain,
% 0.22/0.47 (((~![B: $i, A: $i] : (in_environment(A, B) | (~greater_or_equal(end_time(A), B)) | (~greater_or_equal(B, start_time(A))) | (~environment(A)))) | (in_environment(sk1(sk3), 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)))))),
% 0.22/0.47 inference(transitivity,[status(thm)],[257, 255])).
% 0.22/0.47 tff(259,plain,
% 0.22/0.47 ((~![B: $i, A: $i] : (in_environment(A, B) | (~greater_or_equal(end_time(A), B)) | (~greater_or_equal(B, start_time(A))) | (~environment(A)))) | (in_environment(sk1(sk3), 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))))),
% 0.22/0.47 inference(quant_inst,[status(thm)],[])).
% 0.22/0.47 tff(260,plain,
% 0.22/0.47 ((~![B: $i, A: $i] : (in_environment(A, B) | (~greater_or_equal(end_time(A), B)) | (~greater_or_equal(B, start_time(A))) | (~environment(A)))) | (~environment(sk1(sk3))) | (~greater_or_equal(critical_point(sk1(sk3)), start_time(sk1(sk3)))) | in_environment(sk1(sk3), critical_point(sk1(sk3))) | (~greater_or_equal(end_time(sk1(sk3)), critical_point(sk1(sk3))))),
% 0.22/0.47 inference(modus_ponens,[status(thm)],[259, 258])).
% 0.22/0.47 tff(261,plain,
% 0.22/0.47 (in_environment(sk1(sk3), critical_point(sk1(sk3))) | (~greater_or_equal(end_time(sk1(sk3)), critical_point(sk1(sk3))))),
% 0.22/0.47 inference(unit_resolution,[status(thm)],[260, 195, 58, 234])).
% 0.22/0.47 tff(262,plain,
% 0.22/0.47 (in_environment(sk1(sk3), critical_point(sk1(sk3)))),
% 0.22/0.47 inference(unit_resolution,[status(thm)],[261, 254])).
% 0.22/0.47 tff(263,plain,
% 0.22/0.47 ($false),
% 0.22/0.47 inference(unit_resolution,[status(thm)],[262, 250])).
% 0.22/0.47 % SZS output end Proof
% 0.22/0.47 % E exiting
%------------------------------------------------------------------------------