TSTP Solution File: MGT035-2 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : MGT035-2 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 18 05:22:03 EDT 2022
% Result : Unsatisfiable 0.20s 0.47s
% Output : Proof 0.52s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : MGT035-2 : TPTP v8.1.0. Released v2.4.0.
% 0.10/0.12 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.33 % Computer : n018.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Sep 2 02:49:43 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.12/0.34 Usage: tptp [options] [-file:]file
% 0.12/0.34 -h, -? prints this message.
% 0.12/0.34 -smt2 print SMT-LIB2 benchmark.
% 0.12/0.34 -m, -model generate model.
% 0.12/0.34 -p, -proof generate proof.
% 0.12/0.34 -c, -core generate unsat core of named formulas.
% 0.12/0.34 -st, -statistics display statistics.
% 0.12/0.34 -t:timeout set timeout (in second).
% 0.12/0.34 -smt2status display status in smt2 format instead of SZS.
% 0.12/0.34 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.12/0.34 -<param>:<value> configuration parameter and value.
% 0.12/0.34 -o:<output-file> file to place output in.
% 0.20/0.47 % SZS status Unsatisfiable
% 0.20/0.47 % SZS output start Proof
% 0.20/0.47 tff(decreases_type, type, (
% 0.20/0.47 decreases: $i > $o)).
% 0.20/0.47 tff(cardinality_at_time_type, type, (
% 0.20/0.47 cardinality_at_time: ( $i * $i ) > $i)).
% 0.20/0.47 tff(sk4_type, type, (
% 0.20/0.47 sk4: $i > $i)).
% 0.20/0.47 tff(sk1_type, type, (
% 0.20/0.47 sk1: $i > $i)).
% 0.20/0.47 tff(sk3_type, type, (
% 0.20/0.47 sk3: $i)).
% 0.20/0.47 tff(first_movers_type, type, (
% 0.20/0.47 first_movers: $i)).
% 0.20/0.47 tff(greater_type, type, (
% 0.20/0.47 greater: ( $i * $i ) > $o)).
% 0.20/0.47 tff(growth_rate_type, type, (
% 0.20/0.47 growth_rate: ( $i * $i ) > $i)).
% 0.20/0.47 tff(zero_type, type, (
% 0.20/0.47 zero: $i)).
% 0.20/0.47 tff(greater_or_equal_type, type, (
% 0.20/0.47 greater_or_equal: ( $i * $i ) > $o)).
% 0.20/0.47 tff(efficient_producers_type, type, (
% 0.20/0.47 efficient_producers: $i)).
% 0.20/0.47 tff(increases_type, type, (
% 0.20/0.47 increases: $i > $o)).
% 0.20/0.47 tff(sk2_type, type, (
% 0.20/0.47 sk2: $i > $i)).
% 0.20/0.47 tff(equilibrium_type, type, (
% 0.20/0.47 equilibrium: $i > $i)).
% 0.20/0.47 tff(stable_type, type, (
% 0.20/0.47 stable: $i > $o)).
% 0.20/0.47 tff(environment_type, type, (
% 0.20/0.47 environment: $i > $o)).
% 0.20/0.47 tff(in_environment_type, type, (
% 0.20/0.47 in_environment: ( $i * $i ) > $o)).
% 0.20/0.47 tff(subpopulations_type, type, (
% 0.20/0.47 subpopulations: ( $i * $i * $i * $i ) > $o)).
% 0.20/0.47 tff(constant_type, type, (
% 0.20/0.47 constant: $i > $o)).
% 0.20/0.47 tff(resources_type, type, (
% 0.20/0.47 resources: ( $i * $i ) > $i)).
% 0.20/0.47 tff(number_of_organizations_type, type, (
% 0.20/0.47 number_of_organizations: ( $i * $i ) > $i)).
% 0.20/0.47 tff(sum_type, type, (
% 0.20/0.47 sum: ( $i * $i ) > $i)).
% 0.20/0.47 tff(subpopulation_type, type, (
% 0.20/0.47 subpopulation: ( $i * $i * $i ) > $o)).
% 0.20/0.47 tff(outcompetes_type, type, (
% 0.20/0.47 outcompetes: ( $i * $i * $i ) > $o)).
% 0.20/0.47 tff(1,assumption,(~greater_or_equal(sk4(sk4(sk1(sk3))), sk2(sk3))), introduced(assumption)).
% 0.20/0.47 tff(2,plain,
% 0.20/0.47 (^[B: $i, A: $i] : refl(((~(A = B)) | greater_or_equal(A, B)) <=> ((~(A = B)) | greater_or_equal(A, B)))),
% 0.20/0.47 inference(bind,[status(th)],[])).
% 0.20/0.47 tff(3,plain,
% 0.20/0.47 (![B: $i, A: $i] : ((~(A = B)) | greater_or_equal(A, B)) <=> ![B: $i, A: $i] : ((~(A = B)) | greater_or_equal(A, B))),
% 0.20/0.47 inference(quant_intro,[status(thm)],[2])).
% 0.20/0.47 tff(4,plain,
% 0.20/0.47 (![B: $i, A: $i] : ((~(A = B)) | greater_or_equal(A, B)) <=> ![B: $i, A: $i] : ((~(A = B)) | greater_or_equal(A, B))),
% 0.20/0.47 inference(rewrite,[status(thm)],[])).
% 0.20/0.47 tff(5,axiom,(![B: $i, A: $i] : ((~(A = B)) | greater_or_equal(A, B))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','mp_greater_or_equal_62')).
% 0.20/0.47 tff(6,plain,
% 0.20/0.47 (![B: $i, A: $i] : ((~(A = B)) | greater_or_equal(A, B))),
% 0.20/0.47 inference(modus_ponens,[status(thm)],[5, 4])).
% 0.20/0.47 tff(7,plain,(
% 0.20/0.47 ![B: $i, A: $i] : ((~(A = B)) | greater_or_equal(A, B))),
% 0.20/0.47 inference(skolemize,[status(sab)],[6])).
% 0.20/0.47 tff(8,plain,
% 0.20/0.47 (![B: $i, A: $i] : ((~(A = B)) | greater_or_equal(A, B))),
% 0.20/0.47 inference(modus_ponens,[status(thm)],[7, 3])).
% 0.20/0.47 tff(9,plain,
% 0.20/0.47 (((~![B: $i, A: $i] : ((~(A = B)) | greater_or_equal(A, B))) | ((~(sk4(sk4(sk1(sk3))) = sk2(sk3))) | greater_or_equal(sk4(sk4(sk1(sk3))), sk2(sk3)))) <=> ((~![B: $i, A: $i] : ((~(A = B)) | greater_or_equal(A, B))) | (~(sk4(sk4(sk1(sk3))) = sk2(sk3))) | greater_or_equal(sk4(sk4(sk1(sk3))), sk2(sk3)))),
% 0.20/0.47 inference(rewrite,[status(thm)],[])).
% 0.20/0.47 tff(10,plain,
% 0.20/0.47 ((~![B: $i, A: $i] : ((~(A = B)) | greater_or_equal(A, B))) | ((~(sk4(sk4(sk1(sk3))) = sk2(sk3))) | greater_or_equal(sk4(sk4(sk1(sk3))), sk2(sk3)))),
% 0.20/0.47 inference(quant_inst,[status(thm)],[])).
% 0.20/0.47 tff(11,plain,
% 0.20/0.47 ((~![B: $i, A: $i] : ((~(A = B)) | greater_or_equal(A, B))) | (~(sk4(sk4(sk1(sk3))) = sk2(sk3))) | greater_or_equal(sk4(sk4(sk1(sk3))), sk2(sk3))),
% 0.20/0.47 inference(modus_ponens,[status(thm)],[10, 9])).
% 0.20/0.47 tff(12,plain,
% 0.20/0.47 (~(sk4(sk4(sk1(sk3))) = sk2(sk3))),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[11, 8, 1])).
% 0.20/0.47 tff(13,plain,
% 0.20/0.47 (^[B: $i, A: $i] : refl(((~greater(A, B)) | greater_or_equal(A, B)) <=> ((~greater(A, B)) | greater_or_equal(A, B)))),
% 0.20/0.47 inference(bind,[status(th)],[])).
% 0.20/0.47 tff(14,plain,
% 0.20/0.47 (![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B)) <=> ![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))),
% 0.20/0.47 inference(quant_intro,[status(thm)],[13])).
% 0.20/0.47 tff(15,plain,
% 0.20/0.47 (![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B)) <=> ![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))),
% 0.20/0.47 inference(rewrite,[status(thm)],[])).
% 0.20/0.47 tff(16,axiom,(![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','mp_greater_or_equal_61')).
% 0.20/0.47 tff(17,plain,
% 0.20/0.47 (![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))),
% 0.20/0.47 inference(modus_ponens,[status(thm)],[16, 15])).
% 0.20/0.47 tff(18,plain,(
% 0.20/0.47 ![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))),
% 0.20/0.47 inference(skolemize,[status(sab)],[17])).
% 0.20/0.47 tff(19,plain,
% 0.20/0.47 (![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))),
% 0.20/0.47 inference(modus_ponens,[status(thm)],[18, 14])).
% 0.20/0.47 tff(20,plain,
% 0.20/0.47 (((~![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))) | ((~greater(sk4(sk4(sk1(sk3))), sk2(sk3))) | greater_or_equal(sk4(sk4(sk1(sk3))), sk2(sk3)))) <=> ((~![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))) | (~greater(sk4(sk4(sk1(sk3))), sk2(sk3))) | greater_or_equal(sk4(sk4(sk1(sk3))), sk2(sk3)))),
% 0.20/0.47 inference(rewrite,[status(thm)],[])).
% 0.20/0.47 tff(21,plain,
% 0.20/0.47 ((~![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))) | ((~greater(sk4(sk4(sk1(sk3))), sk2(sk3))) | greater_or_equal(sk4(sk4(sk1(sk3))), sk2(sk3)))),
% 0.20/0.47 inference(quant_inst,[status(thm)],[])).
% 0.20/0.47 tff(22,plain,
% 0.20/0.47 ((~![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))) | (~greater(sk4(sk4(sk1(sk3))), sk2(sk3))) | greater_or_equal(sk4(sk4(sk1(sk3))), sk2(sk3))),
% 0.20/0.47 inference(modus_ponens,[status(thm)],[21, 20])).
% 0.20/0.47 tff(23,plain,
% 0.20/0.47 (~greater(sk4(sk4(sk1(sk3))), sk2(sk3))),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[22, 19, 1])).
% 0.20/0.47 tff(24,assumption,(greater(sk2(sk3), sk4(sk4(sk1(sk3))))), introduced(assumption)).
% 0.20/0.47 tff(25,assumption,(greater(equilibrium(sk3), sk4(sk4(sk1(sk3))))), introduced(assumption)).
% 0.20/0.47 tff(26,assumption,(greater(sk4(sk4(sk1(sk3))), sk1(sk3))), introduced(assumption)).
% 0.20/0.47 tff(27,plain,
% 0.20/0.47 (stable(sk3) <=> stable(sk3)),
% 0.20/0.47 inference(rewrite,[status(thm)],[])).
% 0.20/0.47 tff(28,axiom,(stable(sk3)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_t4_77')).
% 0.20/0.47 tff(29,plain,
% 0.20/0.47 (stable(sk3)),
% 0.20/0.47 inference(modus_ponens,[status(thm)],[28, 27])).
% 0.20/0.47 tff(30,plain,
% 0.20/0.47 (environment(sk3) <=> environment(sk3)),
% 0.20/0.47 inference(rewrite,[status(thm)],[])).
% 0.20/0.47 tff(31,axiom,(environment(sk3)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_t4_76')).
% 0.20/0.47 tff(32,plain,
% 0.20/0.47 (environment(sk3)),
% 0.20/0.47 inference(modus_ponens,[status(thm)],[31, 30])).
% 0.20/0.47 tff(33,plain,
% 0.20/0.47 (^[A: $i] : refl(((~environment(A)) | (~stable(A)) | greater_or_equal(sk1(A), equilibrium(A))) <=> ((~environment(A)) | (~stable(A)) | greater_or_equal(sk1(A), equilibrium(A))))),
% 0.20/0.47 inference(bind,[status(th)],[])).
% 0.20/0.47 tff(34,plain,
% 0.20/0.47 (![A: $i] : ((~environment(A)) | (~stable(A)) | greater_or_equal(sk1(A), equilibrium(A))) <=> ![A: $i] : ((~environment(A)) | (~stable(A)) | greater_or_equal(sk1(A), equilibrium(A)))),
% 0.20/0.47 inference(quant_intro,[status(thm)],[33])).
% 0.20/0.47 tff(35,plain,
% 0.20/0.47 (![A: $i] : ((~environment(A)) | (~stable(A)) | greater_or_equal(sk1(A), equilibrium(A))) <=> ![A: $i] : ((~environment(A)) | (~stable(A)) | greater_or_equal(sk1(A), equilibrium(A)))),
% 0.20/0.47 inference(rewrite,[status(thm)],[])).
% 0.20/0.47 tff(36,plain,
% 0.20/0.47 (^[A: $i] : rewrite((((~environment(A)) | (~stable(A))) | greater_or_equal(sk1(A), equilibrium(A))) <=> ((~environment(A)) | (~stable(A)) | greater_or_equal(sk1(A), equilibrium(A))))),
% 0.20/0.47 inference(bind,[status(th)],[])).
% 0.20/0.47 tff(37,plain,
% 0.20/0.47 (![A: $i] : (((~environment(A)) | (~stable(A))) | greater_or_equal(sk1(A), equilibrium(A))) <=> ![A: $i] : ((~environment(A)) | (~stable(A)) | greater_or_equal(sk1(A), equilibrium(A)))),
% 0.20/0.47 inference(quant_intro,[status(thm)],[36])).
% 0.20/0.47 tff(38,axiom,(![A: $i] : (((~environment(A)) | (~stable(A))) | greater_or_equal(sk1(A), equilibrium(A)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','a5_70')).
% 0.20/0.47 tff(39,plain,
% 0.20/0.47 (![A: $i] : ((~environment(A)) | (~stable(A)) | greater_or_equal(sk1(A), equilibrium(A)))),
% 0.20/0.47 inference(modus_ponens,[status(thm)],[38, 37])).
% 0.20/0.47 tff(40,plain,
% 0.20/0.47 (![A: $i] : ((~environment(A)) | (~stable(A)) | greater_or_equal(sk1(A), equilibrium(A)))),
% 0.20/0.47 inference(modus_ponens,[status(thm)],[39, 35])).
% 0.20/0.47 tff(41,plain,(
% 0.20/0.47 ![A: $i] : ((~environment(A)) | (~stable(A)) | greater_or_equal(sk1(A), equilibrium(A)))),
% 0.20/0.47 inference(skolemize,[status(sab)],[40])).
% 0.20/0.47 tff(42,plain,
% 0.20/0.47 (![A: $i] : ((~environment(A)) | (~stable(A)) | greater_or_equal(sk1(A), equilibrium(A)))),
% 0.20/0.47 inference(modus_ponens,[status(thm)],[41, 34])).
% 0.20/0.47 tff(43,plain,
% 0.20/0.47 (((~![A: $i] : ((~environment(A)) | (~stable(A)) | greater_or_equal(sk1(A), equilibrium(A)))) | ((~environment(sk3)) | (~stable(sk3)) | greater_or_equal(sk1(sk3), equilibrium(sk3)))) <=> ((~![A: $i] : ((~environment(A)) | (~stable(A)) | greater_or_equal(sk1(A), equilibrium(A)))) | (~environment(sk3)) | (~stable(sk3)) | greater_or_equal(sk1(sk3), equilibrium(sk3)))),
% 0.20/0.47 inference(rewrite,[status(thm)],[])).
% 0.20/0.47 tff(44,plain,
% 0.20/0.47 ((~![A: $i] : ((~environment(A)) | (~stable(A)) | greater_or_equal(sk1(A), equilibrium(A)))) | ((~environment(sk3)) | (~stable(sk3)) | greater_or_equal(sk1(sk3), equilibrium(sk3)))),
% 0.20/0.47 inference(quant_inst,[status(thm)],[])).
% 0.20/0.47 tff(45,plain,
% 0.20/0.47 ((~![A: $i] : ((~environment(A)) | (~stable(A)) | greater_or_equal(sk1(A), equilibrium(A)))) | (~environment(sk3)) | (~stable(sk3)) | greater_or_equal(sk1(sk3), equilibrium(sk3))),
% 0.20/0.47 inference(modus_ponens,[status(thm)],[44, 43])).
% 0.20/0.47 tff(46,plain,
% 0.20/0.47 (greater_or_equal(sk1(sk3), equilibrium(sk3))),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[45, 42, 32, 29])).
% 0.20/0.47 tff(47,plain,
% 0.20/0.47 (^[B: $i, A: $i] : refl(((~environment(A)) | (~greater(equilibrium(A), B)) | (~greater_or_equal(B, equilibrium(A)))) <=> ((~environment(A)) | (~greater(equilibrium(A), B)) | (~greater_or_equal(B, equilibrium(A)))))),
% 0.20/0.47 inference(bind,[status(th)],[])).
% 0.20/0.47 tff(48,plain,
% 0.20/0.47 (![B: $i, A: $i] : ((~environment(A)) | (~greater(equilibrium(A), B)) | (~greater_or_equal(B, equilibrium(A)))) <=> ![B: $i, A: $i] : ((~environment(A)) | (~greater(equilibrium(A), B)) | (~greater_or_equal(B, equilibrium(A))))),
% 0.20/0.47 inference(quant_intro,[status(thm)],[47])).
% 0.20/0.47 tff(49,plain,
% 0.20/0.47 (![B: $i, A: $i] : ((~environment(A)) | (~greater(equilibrium(A), B)) | (~greater_or_equal(B, equilibrium(A)))) <=> ![B: $i, A: $i] : ((~environment(A)) | (~greater(equilibrium(A), B)) | (~greater_or_equal(B, equilibrium(A))))),
% 0.20/0.47 inference(rewrite,[status(thm)],[])).
% 0.20/0.47 tff(50,plain,
% 0.20/0.47 (^[B: $i, A: $i] : rewrite((((~environment(A)) | (~greater_or_equal(B, equilibrium(A)))) | (~greater(equilibrium(A), B))) <=> ((~environment(A)) | (~greater(equilibrium(A), B)) | (~greater_or_equal(B, equilibrium(A)))))),
% 0.20/0.47 inference(bind,[status(th)],[])).
% 0.20/0.47 tff(51,plain,
% 0.20/0.47 (![B: $i, A: $i] : (((~environment(A)) | (~greater_or_equal(B, equilibrium(A)))) | (~greater(equilibrium(A), B))) <=> ![B: $i, A: $i] : ((~environment(A)) | (~greater(equilibrium(A), B)) | (~greater_or_equal(B, equilibrium(A))))),
% 0.20/0.47 inference(quant_intro,[status(thm)],[50])).
% 0.20/0.47 tff(52,axiom,(![B: $i, A: $i] : (((~environment(A)) | (~greater_or_equal(B, equilibrium(A)))) | (~greater(equilibrium(A), B)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','mp_equilibrium_63')).
% 0.20/0.47 tff(53,plain,
% 0.20/0.47 (![B: $i, A: $i] : ((~environment(A)) | (~greater(equilibrium(A), B)) | (~greater_or_equal(B, equilibrium(A))))),
% 0.20/0.47 inference(modus_ponens,[status(thm)],[52, 51])).
% 0.20/0.47 tff(54,plain,
% 0.20/0.47 (![B: $i, A: $i] : ((~environment(A)) | (~greater(equilibrium(A), B)) | (~greater_or_equal(B, equilibrium(A))))),
% 0.20/0.47 inference(modus_ponens,[status(thm)],[53, 49])).
% 0.20/0.47 tff(55,plain,(
% 0.20/0.47 ![B: $i, A: $i] : ((~environment(A)) | (~greater(equilibrium(A), B)) | (~greater_or_equal(B, equilibrium(A))))),
% 0.20/0.47 inference(skolemize,[status(sab)],[54])).
% 0.20/0.47 tff(56,plain,
% 0.20/0.47 (![B: $i, A: $i] : ((~environment(A)) | (~greater(equilibrium(A), B)) | (~greater_or_equal(B, equilibrium(A))))),
% 0.20/0.47 inference(modus_ponens,[status(thm)],[55, 48])).
% 0.20/0.47 tff(57,plain,
% 0.20/0.47 (((~![B: $i, A: $i] : ((~environment(A)) | (~greater(equilibrium(A), B)) | (~greater_or_equal(B, equilibrium(A))))) | ((~environment(sk3)) | (~greater(equilibrium(sk3), sk1(sk3))) | (~greater_or_equal(sk1(sk3), equilibrium(sk3))))) <=> ((~![B: $i, A: $i] : ((~environment(A)) | (~greater(equilibrium(A), B)) | (~greater_or_equal(B, equilibrium(A))))) | (~environment(sk3)) | (~greater(equilibrium(sk3), sk1(sk3))) | (~greater_or_equal(sk1(sk3), equilibrium(sk3))))),
% 0.20/0.47 inference(rewrite,[status(thm)],[])).
% 0.20/0.47 tff(58,plain,
% 0.20/0.47 ((~![B: $i, A: $i] : ((~environment(A)) | (~greater(equilibrium(A), B)) | (~greater_or_equal(B, equilibrium(A))))) | ((~environment(sk3)) | (~greater(equilibrium(sk3), sk1(sk3))) | (~greater_or_equal(sk1(sk3), equilibrium(sk3))))),
% 0.20/0.47 inference(quant_inst,[status(thm)],[])).
% 0.20/0.47 tff(59,plain,
% 0.20/0.47 ((~![B: $i, A: $i] : ((~environment(A)) | (~greater(equilibrium(A), B)) | (~greater_or_equal(B, equilibrium(A))))) | (~environment(sk3)) | (~greater(equilibrium(sk3), sk1(sk3))) | (~greater_or_equal(sk1(sk3), equilibrium(sk3)))),
% 0.20/0.47 inference(modus_ponens,[status(thm)],[58, 57])).
% 0.20/0.47 tff(60,plain,
% 0.20/0.47 (~greater(equilibrium(sk3), sk1(sk3))),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[59, 56, 32, 46])).
% 0.20/0.47 tff(61,plain,
% 0.20/0.47 (![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)))),
% 0.20/0.47 inference(rewrite,[status(thm)],[])).
% 0.20/0.47 tff(62,plain,
% 0.20/0.47 (![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)))),
% 0.20/0.47 inference(rewrite,[status(thm)],[])).
% 0.20/0.47 tff(63,plain,
% 0.20/0.47 (^[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))))),
% 0.20/0.47 inference(bind,[status(th)],[])).
% 0.20/0.47 tff(64,plain,
% 0.20/0.47 (![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)))),
% 0.20/0.47 inference(quant_intro,[status(thm)],[63])).
% 0.20/0.47 tff(65,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_58')).
% 0.20/0.47 tff(66,plain,
% 0.20/0.47 (![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))),
% 0.20/0.47 inference(modus_ponens,[status(thm)],[65, 64])).
% 0.20/0.47 tff(67,plain,
% 0.20/0.47 (![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))),
% 0.20/0.47 inference(modus_ponens,[status(thm)],[66, 62])).
% 0.20/0.47 tff(68,plain,(
% 0.20/0.47 ![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))),
% 0.20/0.47 inference(skolemize,[status(sab)],[67])).
% 0.20/0.47 tff(69,plain,
% 0.20/0.47 (![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))),
% 0.20/0.47 inference(modus_ponens,[status(thm)],[68, 61])).
% 0.20/0.47 tff(70,plain,
% 0.20/0.47 (((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(equilibrium(sk3), sk1(sk3)) | (~greater(equilibrium(sk3), sk4(sk4(sk1(sk3))))) | (~greater(sk4(sk4(sk1(sk3))), sk1(sk3))))) <=> ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | greater(equilibrium(sk3), sk1(sk3)) | (~greater(equilibrium(sk3), sk4(sk4(sk1(sk3))))) | (~greater(sk4(sk4(sk1(sk3))), sk1(sk3))))),
% 0.20/0.47 inference(rewrite,[status(thm)],[])).
% 0.20/0.47 tff(71,plain,
% 0.20/0.47 ((greater(equilibrium(sk3), sk1(sk3)) | (~greater(sk4(sk4(sk1(sk3))), sk1(sk3))) | (~greater(equilibrium(sk3), sk4(sk4(sk1(sk3)))))) <=> (greater(equilibrium(sk3), sk1(sk3)) | (~greater(equilibrium(sk3), sk4(sk4(sk1(sk3))))) | (~greater(sk4(sk4(sk1(sk3))), sk1(sk3))))),
% 0.20/0.47 inference(rewrite,[status(thm)],[])).
% 0.20/0.47 tff(72,plain,
% 0.20/0.47 (((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(equilibrium(sk3), sk1(sk3)) | (~greater(sk4(sk4(sk1(sk3))), sk1(sk3))) | (~greater(equilibrium(sk3), sk4(sk4(sk1(sk3))))))) <=> ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(equilibrium(sk3), sk1(sk3)) | (~greater(equilibrium(sk3), sk4(sk4(sk1(sk3))))) | (~greater(sk4(sk4(sk1(sk3))), sk1(sk3)))))),
% 0.20/0.47 inference(monotonicity,[status(thm)],[71])).
% 0.20/0.47 tff(73,plain,
% 0.20/0.47 (((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(equilibrium(sk3), sk1(sk3)) | (~greater(sk4(sk4(sk1(sk3))), sk1(sk3))) | (~greater(equilibrium(sk3), sk4(sk4(sk1(sk3))))))) <=> ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | greater(equilibrium(sk3), sk1(sk3)) | (~greater(equilibrium(sk3), sk4(sk4(sk1(sk3))))) | (~greater(sk4(sk4(sk1(sk3))), sk1(sk3))))),
% 0.20/0.47 inference(transitivity,[status(thm)],[72, 70])).
% 0.20/0.47 tff(74,plain,
% 0.20/0.47 ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(equilibrium(sk3), sk1(sk3)) | (~greater(sk4(sk4(sk1(sk3))), sk1(sk3))) | (~greater(equilibrium(sk3), sk4(sk4(sk1(sk3))))))),
% 0.20/0.47 inference(quant_inst,[status(thm)],[])).
% 0.20/0.47 tff(75,plain,
% 0.20/0.47 ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | greater(equilibrium(sk3), sk1(sk3)) | (~greater(equilibrium(sk3), sk4(sk4(sk1(sk3))))) | (~greater(sk4(sk4(sk1(sk3))), sk1(sk3)))),
% 0.20/0.47 inference(modus_ponens,[status(thm)],[74, 73])).
% 0.20/0.47 tff(76,plain,
% 0.20/0.47 ($false),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[75, 69, 60, 25, 26])).
% 0.20/0.47 tff(77,plain,((~greater(equilibrium(sk3), sk4(sk4(sk1(sk3))))) | (~greater(sk4(sk4(sk1(sk3))), sk1(sk3)))), inference(lemma,lemma(discharge,[]))).
% 0.20/0.47 tff(78,plain,
% 0.20/0.47 (~greater(sk4(sk4(sk1(sk3))), sk1(sk3))),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[77, 25])).
% 0.20/0.47 tff(79,assumption,(~greater(sk4(sk4(sk1(sk3))), sk1(sk3))), introduced(assumption)).
% 0.20/0.47 tff(80,assumption,(greater(sk4(sk1(sk3)), sk1(sk3))), introduced(assumption)).
% 0.20/0.47 tff(81,assumption,(greater(sk4(sk4(sk1(sk3))), sk4(sk1(sk3)))), introduced(assumption)).
% 0.20/0.47 tff(82,plain,
% 0.20/0.47 (((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | ((~greater(sk4(sk1(sk3)), sk1(sk3))) | greater(sk4(sk4(sk1(sk3))), sk1(sk3)) | (~greater(sk4(sk4(sk1(sk3))), sk4(sk1(sk3)))))) <=> ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (~greater(sk4(sk1(sk3)), sk1(sk3))) | greater(sk4(sk4(sk1(sk3))), sk1(sk3)) | (~greater(sk4(sk4(sk1(sk3))), sk4(sk1(sk3)))))),
% 0.20/0.47 inference(rewrite,[status(thm)],[])).
% 0.20/0.47 tff(83,plain,
% 0.20/0.47 ((greater(sk4(sk4(sk1(sk3))), sk1(sk3)) | (~greater(sk4(sk1(sk3)), sk1(sk3))) | (~greater(sk4(sk4(sk1(sk3))), sk4(sk1(sk3))))) <=> ((~greater(sk4(sk1(sk3)), sk1(sk3))) | greater(sk4(sk4(sk1(sk3))), sk1(sk3)) | (~greater(sk4(sk4(sk1(sk3))), sk4(sk1(sk3)))))),
% 0.20/0.47 inference(rewrite,[status(thm)],[])).
% 0.20/0.47 tff(84,plain,
% 0.20/0.47 (((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(sk4(sk4(sk1(sk3))), sk1(sk3)) | (~greater(sk4(sk1(sk3)), sk1(sk3))) | (~greater(sk4(sk4(sk1(sk3))), sk4(sk1(sk3)))))) <=> ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | ((~greater(sk4(sk1(sk3)), sk1(sk3))) | greater(sk4(sk4(sk1(sk3))), sk1(sk3)) | (~greater(sk4(sk4(sk1(sk3))), sk4(sk1(sk3))))))),
% 0.20/0.47 inference(monotonicity,[status(thm)],[83])).
% 0.20/0.47 tff(85,plain,
% 0.20/0.47 (((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(sk4(sk4(sk1(sk3))), sk1(sk3)) | (~greater(sk4(sk1(sk3)), sk1(sk3))) | (~greater(sk4(sk4(sk1(sk3))), sk4(sk1(sk3)))))) <=> ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (~greater(sk4(sk1(sk3)), sk1(sk3))) | greater(sk4(sk4(sk1(sk3))), sk1(sk3)) | (~greater(sk4(sk4(sk1(sk3))), sk4(sk1(sk3)))))),
% 0.20/0.47 inference(transitivity,[status(thm)],[84, 82])).
% 0.20/0.47 tff(86,plain,
% 0.20/0.47 ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(sk4(sk4(sk1(sk3))), sk1(sk3)) | (~greater(sk4(sk1(sk3)), sk1(sk3))) | (~greater(sk4(sk4(sk1(sk3))), sk4(sk1(sk3)))))),
% 0.20/0.47 inference(quant_inst,[status(thm)],[])).
% 0.20/0.47 tff(87,plain,
% 0.20/0.47 ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (~greater(sk4(sk1(sk3)), sk1(sk3))) | greater(sk4(sk4(sk1(sk3))), sk1(sk3)) | (~greater(sk4(sk4(sk1(sk3))), sk4(sk1(sk3))))),
% 0.20/0.47 inference(modus_ponens,[status(thm)],[86, 85])).
% 0.20/0.47 tff(88,plain,
% 0.20/0.47 ($false),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[87, 69, 80, 81, 79])).
% 0.20/0.47 tff(89,plain,((~greater(sk4(sk4(sk1(sk3))), sk4(sk1(sk3)))) | (~greater(sk4(sk1(sk3)), sk1(sk3))) | greater(sk4(sk4(sk1(sk3))), sk1(sk3))), inference(lemma,lemma(discharge,[]))).
% 0.20/0.48 tff(90,plain,
% 0.20/0.48 (~greater(sk4(sk4(sk1(sk3))), sk4(sk1(sk3)))),
% 0.20/0.48 inference(unit_resolution,[status(thm)],[89, 80, 79])).
% 0.20/0.48 tff(91,plain,
% 0.20/0.48 (^[A: $i] : refl(((~environment(A)) | (~stable(A)) | in_environment(A, sk1(A))) <=> ((~environment(A)) | (~stable(A)) | in_environment(A, sk1(A))))),
% 0.20/0.48 inference(bind,[status(th)],[])).
% 0.20/0.48 tff(92,plain,
% 0.20/0.48 (![A: $i] : ((~environment(A)) | (~stable(A)) | in_environment(A, sk1(A))) <=> ![A: $i] : ((~environment(A)) | (~stable(A)) | in_environment(A, sk1(A)))),
% 0.20/0.48 inference(quant_intro,[status(thm)],[91])).
% 0.20/0.48 tff(93,plain,
% 0.20/0.48 (![A: $i] : ((~environment(A)) | (~stable(A)) | in_environment(A, sk1(A))) <=> ![A: $i] : ((~environment(A)) | (~stable(A)) | in_environment(A, sk1(A)))),
% 0.20/0.48 inference(rewrite,[status(thm)],[])).
% 0.20/0.48 tff(94,plain,
% 0.20/0.48 (^[A: $i] : rewrite((((~environment(A)) | (~stable(A))) | in_environment(A, sk1(A))) <=> ((~environment(A)) | (~stable(A)) | in_environment(A, sk1(A))))),
% 0.20/0.48 inference(bind,[status(th)],[])).
% 0.20/0.48 tff(95,plain,
% 0.20/0.48 (![A: $i] : (((~environment(A)) | (~stable(A))) | in_environment(A, sk1(A))) <=> ![A: $i] : ((~environment(A)) | (~stable(A)) | in_environment(A, sk1(A)))),
% 0.20/0.48 inference(quant_intro,[status(thm)],[94])).
% 0.20/0.48 tff(96,axiom,(![A: $i] : (((~environment(A)) | (~stable(A))) | in_environment(A, sk1(A)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','a5_69')).
% 0.20/0.48 tff(97,plain,
% 0.20/0.48 (![A: $i] : ((~environment(A)) | (~stable(A)) | in_environment(A, sk1(A)))),
% 0.20/0.48 inference(modus_ponens,[status(thm)],[96, 95])).
% 0.20/0.48 tff(98,plain,
% 0.20/0.48 (![A: $i] : ((~environment(A)) | (~stable(A)) | in_environment(A, sk1(A)))),
% 0.20/0.48 inference(modus_ponens,[status(thm)],[97, 93])).
% 0.20/0.48 tff(99,plain,(
% 0.20/0.48 ![A: $i] : ((~environment(A)) | (~stable(A)) | in_environment(A, sk1(A)))),
% 0.20/0.48 inference(skolemize,[status(sab)],[98])).
% 0.20/0.48 tff(100,plain,
% 0.20/0.48 (![A: $i] : ((~environment(A)) | (~stable(A)) | in_environment(A, sk1(A)))),
% 0.20/0.48 inference(modus_ponens,[status(thm)],[99, 92])).
% 0.20/0.48 tff(101,plain,
% 0.20/0.48 (((~![A: $i] : ((~environment(A)) | (~stable(A)) | in_environment(A, sk1(A)))) | ((~environment(sk3)) | (~stable(sk3)) | in_environment(sk3, sk1(sk3)))) <=> ((~![A: $i] : ((~environment(A)) | (~stable(A)) | in_environment(A, sk1(A)))) | (~environment(sk3)) | (~stable(sk3)) | in_environment(sk3, sk1(sk3)))),
% 0.20/0.48 inference(rewrite,[status(thm)],[])).
% 0.20/0.48 tff(102,plain,
% 0.20/0.48 ((~![A: $i] : ((~environment(A)) | (~stable(A)) | in_environment(A, sk1(A)))) | ((~environment(sk3)) | (~stable(sk3)) | in_environment(sk3, sk1(sk3)))),
% 0.20/0.48 inference(quant_inst,[status(thm)],[])).
% 0.20/0.48 tff(103,plain,
% 0.20/0.48 ((~![A: $i] : ((~environment(A)) | (~stable(A)) | in_environment(A, sk1(A)))) | (~environment(sk3)) | (~stable(sk3)) | in_environment(sk3, sk1(sk3))),
% 0.20/0.48 inference(modus_ponens,[status(thm)],[102, 101])).
% 0.20/0.48 tff(104,plain,
% 0.20/0.48 (in_environment(sk3, sk1(sk3))),
% 0.20/0.48 inference(unit_resolution,[status(thm)],[103, 100, 32, 29])).
% 0.20/0.48 tff(105,plain,
% 0.20/0.48 (^[A: $i] : refl(((~in_environment(sk3, A)) | subpopulations(first_movers, efficient_producers, sk3, sk4(A))) <=> ((~in_environment(sk3, A)) | subpopulations(first_movers, efficient_producers, sk3, sk4(A))))),
% 0.20/0.48 inference(bind,[status(th)],[])).
% 0.20/0.48 tff(106,plain,
% 0.20/0.48 (![A: $i] : ((~in_environment(sk3, A)) | subpopulations(first_movers, efficient_producers, sk3, sk4(A))) <=> ![A: $i] : ((~in_environment(sk3, A)) | subpopulations(first_movers, efficient_producers, sk3, sk4(A)))),
% 0.20/0.48 inference(quant_intro,[status(thm)],[105])).
% 0.20/0.48 tff(107,plain,
% 0.20/0.48 (![A: $i] : ((~in_environment(sk3, A)) | subpopulations(first_movers, efficient_producers, sk3, sk4(A))) <=> ![A: $i] : ((~in_environment(sk3, A)) | subpopulations(first_movers, efficient_producers, sk3, sk4(A)))),
% 0.20/0.48 inference(rewrite,[status(thm)],[])).
% 0.20/0.48 tff(108,axiom,(![A: $i] : ((~in_environment(sk3, A)) | subpopulations(first_movers, efficient_producers, sk3, sk4(A)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_t4_78')).
% 0.20/0.48 tff(109,plain,
% 0.20/0.48 (![A: $i] : ((~in_environment(sk3, A)) | subpopulations(first_movers, efficient_producers, sk3, sk4(A)))),
% 0.20/0.48 inference(modus_ponens,[status(thm)],[108, 107])).
% 0.20/0.48 tff(110,plain,(
% 0.20/0.48 ![A: $i] : ((~in_environment(sk3, A)) | subpopulations(first_movers, efficient_producers, sk3, sk4(A)))),
% 0.20/0.48 inference(skolemize,[status(sab)],[109])).
% 0.20/0.48 tff(111,plain,
% 0.20/0.48 (![A: $i] : ((~in_environment(sk3, A)) | subpopulations(first_movers, efficient_producers, sk3, sk4(A)))),
% 0.20/0.48 inference(modus_ponens,[status(thm)],[110, 106])).
% 0.20/0.48 tff(112,plain,
% 0.20/0.48 (((~![A: $i] : ((~in_environment(sk3, A)) | subpopulations(first_movers, efficient_producers, sk3, sk4(A)))) | ((~in_environment(sk3, sk1(sk3))) | subpopulations(first_movers, efficient_producers, sk3, sk4(sk1(sk3))))) <=> ((~![A: $i] : ((~in_environment(sk3, A)) | subpopulations(first_movers, efficient_producers, sk3, sk4(A)))) | (~in_environment(sk3, sk1(sk3))) | subpopulations(first_movers, efficient_producers, sk3, sk4(sk1(sk3))))),
% 0.20/0.48 inference(rewrite,[status(thm)],[])).
% 0.20/0.48 tff(113,plain,
% 0.20/0.48 ((~![A: $i] : ((~in_environment(sk3, A)) | subpopulations(first_movers, efficient_producers, sk3, sk4(A)))) | ((~in_environment(sk3, sk1(sk3))) | subpopulations(first_movers, efficient_producers, sk3, sk4(sk1(sk3))))),
% 0.20/0.48 inference(quant_inst,[status(thm)],[])).
% 0.20/0.48 tff(114,plain,
% 0.20/0.48 ((~![A: $i] : ((~in_environment(sk3, A)) | subpopulations(first_movers, efficient_producers, sk3, sk4(A)))) | (~in_environment(sk3, sk1(sk3))) | subpopulations(first_movers, efficient_producers, sk3, sk4(sk1(sk3)))),
% 0.20/0.48 inference(modus_ponens,[status(thm)],[113, 112])).
% 0.20/0.48 tff(115,plain,
% 0.20/0.48 (subpopulations(first_movers, efficient_producers, sk3, sk4(sk1(sk3)))),
% 0.20/0.48 inference(unit_resolution,[status(thm)],[114, 111, 104])).
% 0.20/0.48 tff(116,plain,
% 0.20/0.48 (^[B: $i, A: $i] : refl((in_environment(A, B) | (~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A))) <=> (in_environment(A, B) | (~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A))))),
% 0.20/0.48 inference(bind,[status(th)],[])).
% 0.20/0.48 tff(117,plain,
% 0.20/0.48 (![B: $i, A: $i] : (in_environment(A, B) | (~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A))) <=> ![B: $i, A: $i] : (in_environment(A, B) | (~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)))),
% 0.20/0.48 inference(quant_intro,[status(thm)],[116])).
% 0.20/0.48 tff(118,plain,
% 0.20/0.48 (![B: $i, A: $i] : (in_environment(A, B) | (~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A))) <=> ![B: $i, A: $i] : (in_environment(A, B) | (~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)))),
% 0.20/0.48 inference(rewrite,[status(thm)],[])).
% 0.20/0.48 tff(119,plain,
% 0.20/0.48 (^[B: $i, A: $i] : rewrite((((~environment(A)) | (~subpopulations(first_movers, efficient_producers, A, B))) | in_environment(A, B)) <=> (in_environment(A, B) | (~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A))))),
% 0.20/0.48 inference(bind,[status(th)],[])).
% 0.20/0.48 tff(120,plain,
% 0.20/0.48 (![B: $i, A: $i] : (((~environment(A)) | (~subpopulations(first_movers, efficient_producers, A, B))) | in_environment(A, B)) <=> ![B: $i, A: $i] : (in_environment(A, B) | (~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)))),
% 0.20/0.48 inference(quant_intro,[status(thm)],[119])).
% 0.20/0.48 tff(121,axiom,(![B: $i, A: $i] : (((~environment(A)) | (~subpopulations(first_movers, efficient_producers, A, B))) | in_environment(A, B))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','mp_time_point_in_environment_36')).
% 0.20/0.48 tff(122,plain,
% 0.20/0.48 (![B: $i, A: $i] : (in_environment(A, B) | (~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)))),
% 0.20/0.48 inference(modus_ponens,[status(thm)],[121, 120])).
% 0.20/0.48 tff(123,plain,
% 0.20/0.48 (![B: $i, A: $i] : (in_environment(A, B) | (~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)))),
% 0.20/0.48 inference(modus_ponens,[status(thm)],[122, 118])).
% 0.20/0.48 tff(124,plain,(
% 0.20/0.48 ![B: $i, A: $i] : (in_environment(A, B) | (~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)))),
% 0.20/0.48 inference(skolemize,[status(sab)],[123])).
% 0.20/0.48 tff(125,plain,
% 0.20/0.48 (![B: $i, A: $i] : (in_environment(A, B) | (~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)))),
% 0.20/0.48 inference(modus_ponens,[status(thm)],[124, 117])).
% 0.20/0.48 tff(126,plain,
% 0.20/0.48 (((~![B: $i, A: $i] : (in_environment(A, B) | (~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)))) | ((~environment(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk1(sk3)))) | in_environment(sk3, sk4(sk1(sk3))))) <=> ((~![B: $i, A: $i] : (in_environment(A, B) | (~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)))) | (~environment(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk1(sk3)))) | in_environment(sk3, sk4(sk1(sk3))))),
% 0.20/0.48 inference(rewrite,[status(thm)],[])).
% 0.20/0.48 tff(127,plain,
% 0.20/0.48 ((in_environment(sk3, sk4(sk1(sk3))) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk1(sk3)))) | (~environment(sk3))) <=> ((~environment(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk1(sk3)))) | in_environment(sk3, sk4(sk1(sk3))))),
% 0.20/0.48 inference(rewrite,[status(thm)],[])).
% 0.20/0.48 tff(128,plain,
% 0.20/0.48 (((~![B: $i, A: $i] : (in_environment(A, B) | (~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)))) | (in_environment(sk3, sk4(sk1(sk3))) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk1(sk3)))) | (~environment(sk3)))) <=> ((~![B: $i, A: $i] : (in_environment(A, B) | (~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)))) | ((~environment(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk1(sk3)))) | in_environment(sk3, sk4(sk1(sk3)))))),
% 0.20/0.48 inference(monotonicity,[status(thm)],[127])).
% 0.20/0.48 tff(129,plain,
% 0.20/0.48 (((~![B: $i, A: $i] : (in_environment(A, B) | (~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)))) | (in_environment(sk3, sk4(sk1(sk3))) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk1(sk3)))) | (~environment(sk3)))) <=> ((~![B: $i, A: $i] : (in_environment(A, B) | (~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)))) | (~environment(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk1(sk3)))) | in_environment(sk3, sk4(sk1(sk3))))),
% 0.20/0.48 inference(transitivity,[status(thm)],[128, 126])).
% 0.20/0.48 tff(130,plain,
% 0.20/0.48 ((~![B: $i, A: $i] : (in_environment(A, B) | (~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)))) | (in_environment(sk3, sk4(sk1(sk3))) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk1(sk3)))) | (~environment(sk3)))),
% 0.20/0.48 inference(quant_inst,[status(thm)],[])).
% 0.20/0.48 tff(131,plain,
% 0.20/0.48 ((~![B: $i, A: $i] : (in_environment(A, B) | (~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)))) | (~environment(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk1(sk3)))) | in_environment(sk3, sk4(sk1(sk3)))),
% 0.20/0.48 inference(modus_ponens,[status(thm)],[130, 129])).
% 0.20/0.48 tff(132,plain,
% 0.20/0.48 (in_environment(sk3, sk4(sk1(sk3)))),
% 0.20/0.48 inference(unit_resolution,[status(thm)],[131, 125, 32, 115])).
% 0.20/0.48 tff(133,plain,
% 0.20/0.48 (^[A: $i] : refl(((~in_environment(sk3, A)) | greater_or_equal(sk4(A), A)) <=> ((~in_environment(sk3, A)) | greater_or_equal(sk4(A), A)))),
% 0.20/0.48 inference(bind,[status(th)],[])).
% 0.20/0.48 tff(134,plain,
% 0.20/0.48 (![A: $i] : ((~in_environment(sk3, A)) | greater_or_equal(sk4(A), A)) <=> ![A: $i] : ((~in_environment(sk3, A)) | greater_or_equal(sk4(A), A))),
% 0.20/0.48 inference(quant_intro,[status(thm)],[133])).
% 0.20/0.48 tff(135,plain,
% 0.20/0.48 (![A: $i] : ((~in_environment(sk3, A)) | greater_or_equal(sk4(A), A)) <=> ![A: $i] : ((~in_environment(sk3, A)) | greater_or_equal(sk4(A), A))),
% 0.20/0.48 inference(rewrite,[status(thm)],[])).
% 0.20/0.48 tff(136,axiom,(![A: $i] : ((~in_environment(sk3, A)) | greater_or_equal(sk4(A), A))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_t4_79')).
% 0.20/0.48 tff(137,plain,
% 0.20/0.48 (![A: $i] : ((~in_environment(sk3, A)) | greater_or_equal(sk4(A), A))),
% 0.20/0.48 inference(modus_ponens,[status(thm)],[136, 135])).
% 0.20/0.48 tff(138,plain,(
% 0.20/0.48 ![A: $i] : ((~in_environment(sk3, A)) | greater_or_equal(sk4(A), A))),
% 0.20/0.48 inference(skolemize,[status(sab)],[137])).
% 0.20/0.48 tff(139,plain,
% 0.20/0.48 (![A: $i] : ((~in_environment(sk3, A)) | greater_or_equal(sk4(A), A))),
% 0.20/0.48 inference(modus_ponens,[status(thm)],[138, 134])).
% 0.20/0.48 tff(140,plain,
% 0.20/0.48 (((~![A: $i] : ((~in_environment(sk3, A)) | greater_or_equal(sk4(A), A))) | ((~in_environment(sk3, sk4(sk1(sk3)))) | greater_or_equal(sk4(sk4(sk1(sk3))), sk4(sk1(sk3))))) <=> ((~![A: $i] : ((~in_environment(sk3, A)) | greater_or_equal(sk4(A), A))) | (~in_environment(sk3, sk4(sk1(sk3)))) | greater_or_equal(sk4(sk4(sk1(sk3))), sk4(sk1(sk3))))),
% 0.20/0.48 inference(rewrite,[status(thm)],[])).
% 0.20/0.48 tff(141,plain,
% 0.20/0.48 ((~![A: $i] : ((~in_environment(sk3, A)) | greater_or_equal(sk4(A), A))) | ((~in_environment(sk3, sk4(sk1(sk3)))) | greater_or_equal(sk4(sk4(sk1(sk3))), sk4(sk1(sk3))))),
% 0.20/0.48 inference(quant_inst,[status(thm)],[])).
% 0.20/0.48 tff(142,plain,
% 0.20/0.48 ((~![A: $i] : ((~in_environment(sk3, A)) | greater_or_equal(sk4(A), A))) | (~in_environment(sk3, sk4(sk1(sk3)))) | greater_or_equal(sk4(sk4(sk1(sk3))), sk4(sk1(sk3)))),
% 0.20/0.48 inference(modus_ponens,[status(thm)],[141, 140])).
% 0.20/0.48 tff(143,plain,
% 0.20/0.48 (greater_or_equal(sk4(sk4(sk1(sk3))), sk4(sk1(sk3)))),
% 0.20/0.48 inference(unit_resolution,[status(thm)],[142, 139, 132])).
% 0.20/0.48 tff(144,plain,
% 0.20/0.48 (^[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))))),
% 0.20/0.48 inference(bind,[status(th)],[])).
% 0.20/0.48 tff(145,plain,
% 0.20/0.48 (![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)))),
% 0.20/0.48 inference(quant_intro,[status(thm)],[144])).
% 0.20/0.48 tff(146,plain,
% 0.20/0.48 (![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)))),
% 0.20/0.48 inference(rewrite,[status(thm)],[])).
% 0.20/0.48 tff(147,plain,
% 0.20/0.48 (^[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))))),
% 0.20/0.48 inference(bind,[status(th)],[])).
% 0.20/0.48 tff(148,plain,
% 0.20/0.48 (![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)))),
% 0.20/0.48 inference(quant_intro,[status(thm)],[147])).
% 0.20/0.48 tff(149,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_60')).
% 0.20/0.48 tff(150,plain,
% 0.20/0.48 (![B: $i, A: $i] : ((A = B) | greater(A, B) | (~greater_or_equal(A, B)))),
% 0.20/0.48 inference(modus_ponens,[status(thm)],[149, 148])).
% 0.20/0.48 tff(151,plain,
% 0.20/0.48 (![B: $i, A: $i] : ((A = B) | greater(A, B) | (~greater_or_equal(A, B)))),
% 0.20/0.48 inference(modus_ponens,[status(thm)],[150, 146])).
% 0.20/0.48 tff(152,plain,(
% 0.20/0.48 ![B: $i, A: $i] : ((A = B) | greater(A, B) | (~greater_or_equal(A, B)))),
% 0.20/0.48 inference(skolemize,[status(sab)],[151])).
% 0.20/0.48 tff(153,plain,
% 0.20/0.48 (![B: $i, A: $i] : ((A = B) | greater(A, B) | (~greater_or_equal(A, B)))),
% 0.20/0.48 inference(modus_ponens,[status(thm)],[152, 145])).
% 0.20/0.48 tff(154,plain,
% 0.20/0.48 (((~![B: $i, A: $i] : ((A = B) | greater(A, B) | (~greater_or_equal(A, B)))) | ((sk4(sk4(sk1(sk3))) = sk4(sk1(sk3))) | greater(sk4(sk4(sk1(sk3))), sk4(sk1(sk3))) | (~greater_or_equal(sk4(sk4(sk1(sk3))), sk4(sk1(sk3)))))) <=> ((~![B: $i, A: $i] : ((A = B) | greater(A, B) | (~greater_or_equal(A, B)))) | (sk4(sk4(sk1(sk3))) = sk4(sk1(sk3))) | greater(sk4(sk4(sk1(sk3))), sk4(sk1(sk3))) | (~greater_or_equal(sk4(sk4(sk1(sk3))), sk4(sk1(sk3)))))),
% 0.20/0.48 inference(rewrite,[status(thm)],[])).
% 0.20/0.48 tff(155,plain,
% 0.20/0.48 ((~![B: $i, A: $i] : ((A = B) | greater(A, B) | (~greater_or_equal(A, B)))) | ((sk4(sk4(sk1(sk3))) = sk4(sk1(sk3))) | greater(sk4(sk4(sk1(sk3))), sk4(sk1(sk3))) | (~greater_or_equal(sk4(sk4(sk1(sk3))), sk4(sk1(sk3)))))),
% 0.20/0.48 inference(quant_inst,[status(thm)],[])).
% 0.20/0.48 tff(156,plain,
% 0.20/0.48 ((~![B: $i, A: $i] : ((A = B) | greater(A, B) | (~greater_or_equal(A, B)))) | (sk4(sk4(sk1(sk3))) = sk4(sk1(sk3))) | greater(sk4(sk4(sk1(sk3))), sk4(sk1(sk3))) | (~greater_or_equal(sk4(sk4(sk1(sk3))), sk4(sk1(sk3))))),
% 0.20/0.48 inference(modus_ponens,[status(thm)],[155, 154])).
% 0.20/0.48 tff(157,plain,
% 0.20/0.48 ((sk4(sk4(sk1(sk3))) = sk4(sk1(sk3))) | greater(sk4(sk4(sk1(sk3))), sk4(sk1(sk3)))),
% 0.20/0.48 inference(unit_resolution,[status(thm)],[156, 153, 143])).
% 0.20/0.48 tff(158,plain,
% 0.20/0.48 (sk4(sk4(sk1(sk3))) = sk4(sk1(sk3))),
% 0.20/0.48 inference(unit_resolution,[status(thm)],[157, 90])).
% 0.20/0.48 tff(159,plain,
% 0.20/0.48 (greater(sk4(sk4(sk1(sk3))), sk1(sk3)) <=> greater(sk4(sk1(sk3)), sk1(sk3))),
% 0.20/0.48 inference(monotonicity,[status(thm)],[158])).
% 0.20/0.48 tff(160,plain,
% 0.20/0.48 (greater(sk4(sk1(sk3)), sk1(sk3)) <=> greater(sk4(sk4(sk1(sk3))), sk1(sk3))),
% 0.20/0.48 inference(symmetry,[status(thm)],[159])).
% 0.20/0.48 tff(161,plain,
% 0.20/0.48 (greater(sk4(sk4(sk1(sk3))), sk1(sk3))),
% 0.20/0.48 inference(modus_ponens,[status(thm)],[80, 160])).
% 0.20/0.48 tff(162,plain,
% 0.20/0.48 ($false),
% 0.20/0.48 inference(unit_resolution,[status(thm)],[79, 161])).
% 0.20/0.48 tff(163,plain,((~greater(sk4(sk1(sk3)), sk1(sk3))) | greater(sk4(sk4(sk1(sk3))), sk1(sk3))), inference(lemma,lemma(discharge,[]))).
% 0.20/0.48 tff(164,plain,
% 0.20/0.48 (~greater(sk4(sk1(sk3)), sk1(sk3))),
% 0.20/0.48 inference(unit_resolution,[status(thm)],[163, 78])).
% 0.20/0.48 tff(165,plain,
% 0.20/0.48 (((~![A: $i] : ((~in_environment(sk3, A)) | greater_or_equal(sk4(A), A))) | ((~in_environment(sk3, sk1(sk3))) | greater_or_equal(sk4(sk1(sk3)), sk1(sk3)))) <=> ((~![A: $i] : ((~in_environment(sk3, A)) | greater_or_equal(sk4(A), A))) | (~in_environment(sk3, sk1(sk3))) | greater_or_equal(sk4(sk1(sk3)), sk1(sk3)))),
% 0.20/0.48 inference(rewrite,[status(thm)],[])).
% 0.20/0.48 tff(166,plain,
% 0.20/0.48 ((~![A: $i] : ((~in_environment(sk3, A)) | greater_or_equal(sk4(A), A))) | ((~in_environment(sk3, sk1(sk3))) | greater_or_equal(sk4(sk1(sk3)), sk1(sk3)))),
% 0.20/0.48 inference(quant_inst,[status(thm)],[])).
% 0.20/0.48 tff(167,plain,
% 0.20/0.48 ((~![A: $i] : ((~in_environment(sk3, A)) | greater_or_equal(sk4(A), A))) | (~in_environment(sk3, sk1(sk3))) | greater_or_equal(sk4(sk1(sk3)), sk1(sk3))),
% 0.20/0.48 inference(modus_ponens,[status(thm)],[166, 165])).
% 0.20/0.48 tff(168,plain,
% 0.20/0.48 (greater_or_equal(sk4(sk1(sk3)), sk1(sk3))),
% 0.20/0.48 inference(unit_resolution,[status(thm)],[167, 139, 104])).
% 0.20/0.48 tff(169,plain,
% 0.20/0.48 (((~![B: $i, A: $i] : ((A = B) | greater(A, B) | (~greater_or_equal(A, B)))) | ((sk4(sk1(sk3)) = sk1(sk3)) | greater(sk4(sk1(sk3)), sk1(sk3)) | (~greater_or_equal(sk4(sk1(sk3)), sk1(sk3))))) <=> ((~![B: $i, A: $i] : ((A = B) | greater(A, B) | (~greater_or_equal(A, B)))) | (sk4(sk1(sk3)) = sk1(sk3)) | greater(sk4(sk1(sk3)), sk1(sk3)) | (~greater_or_equal(sk4(sk1(sk3)), sk1(sk3))))),
% 0.20/0.48 inference(rewrite,[status(thm)],[])).
% 0.20/0.48 tff(170,plain,
% 0.20/0.48 ((~![B: $i, A: $i] : ((A = B) | greater(A, B) | (~greater_or_equal(A, B)))) | ((sk4(sk1(sk3)) = sk1(sk3)) | greater(sk4(sk1(sk3)), sk1(sk3)) | (~greater_or_equal(sk4(sk1(sk3)), sk1(sk3))))),
% 0.20/0.48 inference(quant_inst,[status(thm)],[])).
% 0.20/0.48 tff(171,plain,
% 0.20/0.48 ((~![B: $i, A: $i] : ((A = B) | greater(A, B) | (~greater_or_equal(A, B)))) | (sk4(sk1(sk3)) = sk1(sk3)) | greater(sk4(sk1(sk3)), sk1(sk3)) | (~greater_or_equal(sk4(sk1(sk3)), sk1(sk3)))),
% 0.20/0.48 inference(modus_ponens,[status(thm)],[170, 169])).
% 0.20/0.48 tff(172,plain,
% 0.20/0.48 ((sk4(sk1(sk3)) = sk1(sk3)) | greater(sk4(sk1(sk3)), sk1(sk3))),
% 0.20/0.48 inference(unit_resolution,[status(thm)],[171, 153, 168])).
% 0.20/0.48 tff(173,plain,
% 0.20/0.48 (sk4(sk1(sk3)) = sk1(sk3)),
% 0.20/0.48 inference(unit_resolution,[status(thm)],[172, 164])).
% 0.20/0.48 tff(174,plain,
% 0.20/0.48 (sk4(sk4(sk1(sk3))) = sk4(sk1(sk3))),
% 0.20/0.48 inference(monotonicity,[status(thm)],[173])).
% 0.20/0.48 tff(175,plain,
% 0.20/0.48 (sk4(sk4(sk1(sk3))) = sk1(sk3)),
% 0.20/0.48 inference(transitivity,[status(thm)],[174, 173])).
% 0.20/0.48 tff(176,plain,
% 0.20/0.48 (greater(equilibrium(sk3), sk4(sk4(sk1(sk3)))) <=> greater(equilibrium(sk3), sk1(sk3))),
% 0.20/0.48 inference(monotonicity,[status(thm)],[175])).
% 0.20/0.48 tff(177,plain,
% 0.20/0.48 (greater(equilibrium(sk3), sk1(sk3)) <=> greater(equilibrium(sk3), sk4(sk4(sk1(sk3))))),
% 0.20/0.48 inference(symmetry,[status(thm)],[176])).
% 0.20/0.48 tff(178,plain,
% 0.20/0.48 ((~greater(equilibrium(sk3), sk1(sk3))) <=> (~greater(equilibrium(sk3), sk4(sk4(sk1(sk3)))))),
% 0.20/0.48 inference(monotonicity,[status(thm)],[177])).
% 0.20/0.48 tff(179,plain,
% 0.20/0.48 (~greater(equilibrium(sk3), sk4(sk4(sk1(sk3))))),
% 0.20/0.48 inference(modus_ponens,[status(thm)],[60, 178])).
% 0.20/0.48 tff(180,plain,
% 0.20/0.48 ($false),
% 0.20/0.48 inference(unit_resolution,[status(thm)],[25, 179])).
% 0.20/0.48 tff(181,plain,(~greater(equilibrium(sk3), sk4(sk4(sk1(sk3))))), inference(lemma,lemma(discharge,[]))).
% 0.20/0.48 tff(182,assumption,(~greater(equilibrium(sk3), sk2(sk3))), introduced(assumption)).
% 0.20/0.48 tff(183,plain,
% 0.20/0.48 (^[A: $i] : refl(((~environment(A)) | in_environment(A, sk2(A)) | (~stable(A))) <=> ((~environment(A)) | in_environment(A, sk2(A)) | (~stable(A))))),
% 0.20/0.48 inference(bind,[status(th)],[])).
% 0.20/0.48 tff(184,plain,
% 0.20/0.48 (![A: $i] : ((~environment(A)) | in_environment(A, sk2(A)) | (~stable(A))) <=> ![A: $i] : ((~environment(A)) | in_environment(A, sk2(A)) | (~stable(A)))),
% 0.20/0.48 inference(quant_intro,[status(thm)],[183])).
% 0.20/0.48 tff(185,plain,
% 0.20/0.48 (![A: $i] : ((~environment(A)) | in_environment(A, sk2(A)) | (~stable(A))) <=> ![A: $i] : ((~environment(A)) | in_environment(A, sk2(A)) | (~stable(A)))),
% 0.20/0.48 inference(rewrite,[status(thm)],[])).
% 0.20/0.48 tff(186,plain,
% 0.20/0.48 (^[A: $i] : rewrite((((~environment(A)) | (~stable(A))) | in_environment(A, sk2(A))) <=> ((~environment(A)) | in_environment(A, sk2(A)) | (~stable(A))))),
% 0.20/0.48 inference(bind,[status(th)],[])).
% 0.20/0.48 tff(187,plain,
% 0.20/0.48 (![A: $i] : (((~environment(A)) | (~stable(A))) | in_environment(A, sk2(A))) <=> ![A: $i] : ((~environment(A)) | in_environment(A, sk2(A)) | (~stable(A)))),
% 0.20/0.48 inference(quant_intro,[status(thm)],[186])).
% 0.20/0.48 tff(188,axiom,(![A: $i] : (((~environment(A)) | (~stable(A))) | in_environment(A, sk2(A)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','l1_74')).
% 0.20/0.48 tff(189,plain,
% 0.20/0.48 (![A: $i] : ((~environment(A)) | in_environment(A, sk2(A)) | (~stable(A)))),
% 0.20/0.48 inference(modus_ponens,[status(thm)],[188, 187])).
% 0.20/0.48 tff(190,plain,
% 0.20/0.48 (![A: $i] : ((~environment(A)) | in_environment(A, sk2(A)) | (~stable(A)))),
% 0.20/0.48 inference(modus_ponens,[status(thm)],[189, 185])).
% 0.20/0.48 tff(191,plain,(
% 0.20/0.48 ![A: $i] : ((~environment(A)) | in_environment(A, sk2(A)) | (~stable(A)))),
% 0.20/0.48 inference(skolemize,[status(sab)],[190])).
% 0.20/0.48 tff(192,plain,
% 0.20/0.48 (![A: $i] : ((~environment(A)) | in_environment(A, sk2(A)) | (~stable(A)))),
% 0.20/0.48 inference(modus_ponens,[status(thm)],[191, 184])).
% 0.20/0.48 tff(193,plain,
% 0.20/0.48 (((~![A: $i] : ((~environment(A)) | in_environment(A, sk2(A)) | (~stable(A)))) | ((~environment(sk3)) | in_environment(sk3, sk2(sk3)) | (~stable(sk3)))) <=> ((~![A: $i] : ((~environment(A)) | in_environment(A, sk2(A)) | (~stable(A)))) | (~environment(sk3)) | in_environment(sk3, sk2(sk3)) | (~stable(sk3)))),
% 0.20/0.48 inference(rewrite,[status(thm)],[])).
% 0.20/0.48 tff(194,plain,
% 0.20/0.48 ((~![A: $i] : ((~environment(A)) | in_environment(A, sk2(A)) | (~stable(A)))) | ((~environment(sk3)) | in_environment(sk3, sk2(sk3)) | (~stable(sk3)))),
% 0.20/0.48 inference(quant_inst,[status(thm)],[])).
% 0.20/0.48 tff(195,plain,
% 0.20/0.48 ((~![A: $i] : ((~environment(A)) | in_environment(A, sk2(A)) | (~stable(A)))) | (~environment(sk3)) | in_environment(sk3, sk2(sk3)) | (~stable(sk3))),
% 0.20/0.48 inference(modus_ponens,[status(thm)],[194, 193])).
% 0.20/0.48 tff(196,plain,
% 0.20/0.48 (in_environment(sk3, sk2(sk3))),
% 0.20/0.48 inference(unit_resolution,[status(thm)],[195, 192, 32, 29])).
% 0.20/0.48 tff(197,plain,
% 0.20/0.48 (((~![A: $i] : ((~in_environment(sk3, A)) | subpopulations(first_movers, efficient_producers, sk3, sk4(A)))) | ((~in_environment(sk3, sk2(sk3))) | subpopulations(first_movers, efficient_producers, sk3, sk4(sk2(sk3))))) <=> ((~![A: $i] : ((~in_environment(sk3, A)) | subpopulations(first_movers, efficient_producers, sk3, sk4(A)))) | (~in_environment(sk3, sk2(sk3))) | subpopulations(first_movers, efficient_producers, sk3, sk4(sk2(sk3))))),
% 0.20/0.48 inference(rewrite,[status(thm)],[])).
% 0.20/0.48 tff(198,plain,
% 0.20/0.48 ((~![A: $i] : ((~in_environment(sk3, A)) | subpopulations(first_movers, efficient_producers, sk3, sk4(A)))) | ((~in_environment(sk3, sk2(sk3))) | subpopulations(first_movers, efficient_producers, sk3, sk4(sk2(sk3))))),
% 0.20/0.48 inference(quant_inst,[status(thm)],[])).
% 0.20/0.48 tff(199,plain,
% 0.20/0.48 ((~![A: $i] : ((~in_environment(sk3, A)) | subpopulations(first_movers, efficient_producers, sk3, sk4(A)))) | (~in_environment(sk3, sk2(sk3))) | subpopulations(first_movers, efficient_producers, sk3, sk4(sk2(sk3)))),
% 0.20/0.48 inference(modus_ponens,[status(thm)],[198, 197])).
% 0.20/0.48 tff(200,plain,
% 0.20/0.48 (subpopulations(first_movers, efficient_producers, sk3, sk4(sk2(sk3)))),
% 0.20/0.48 inference(unit_resolution,[status(thm)],[199, 111, 196])).
% 0.20/0.48 tff(201,plain,
% 0.20/0.48 (((~![B: $i, A: $i] : (in_environment(A, B) | (~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)))) | ((~environment(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk2(sk3)))) | in_environment(sk3, sk4(sk2(sk3))))) <=> ((~![B: $i, A: $i] : (in_environment(A, B) | (~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)))) | (~environment(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk2(sk3)))) | in_environment(sk3, sk4(sk2(sk3))))),
% 0.20/0.48 inference(rewrite,[status(thm)],[])).
% 0.20/0.48 tff(202,plain,
% 0.20/0.48 ((in_environment(sk3, sk4(sk2(sk3))) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk2(sk3)))) | (~environment(sk3))) <=> ((~environment(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk2(sk3)))) | in_environment(sk3, sk4(sk2(sk3))))),
% 0.20/0.48 inference(rewrite,[status(thm)],[])).
% 0.20/0.48 tff(203,plain,
% 0.20/0.48 (((~![B: $i, A: $i] : (in_environment(A, B) | (~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)))) | (in_environment(sk3, sk4(sk2(sk3))) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk2(sk3)))) | (~environment(sk3)))) <=> ((~![B: $i, A: $i] : (in_environment(A, B) | (~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)))) | ((~environment(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk2(sk3)))) | in_environment(sk3, sk4(sk2(sk3)))))),
% 0.20/0.48 inference(monotonicity,[status(thm)],[202])).
% 0.20/0.48 tff(204,plain,
% 0.20/0.48 (((~![B: $i, A: $i] : (in_environment(A, B) | (~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)))) | (in_environment(sk3, sk4(sk2(sk3))) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk2(sk3)))) | (~environment(sk3)))) <=> ((~![B: $i, A: $i] : (in_environment(A, B) | (~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)))) | (~environment(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk2(sk3)))) | in_environment(sk3, sk4(sk2(sk3))))),
% 0.20/0.48 inference(transitivity,[status(thm)],[203, 201])).
% 0.20/0.48 tff(205,plain,
% 0.20/0.48 ((~![B: $i, A: $i] : (in_environment(A, B) | (~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)))) | (in_environment(sk3, sk4(sk2(sk3))) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk2(sk3)))) | (~environment(sk3)))),
% 0.20/0.48 inference(quant_inst,[status(thm)],[])).
% 0.20/0.48 tff(206,plain,
% 0.20/0.48 ((~![B: $i, A: $i] : (in_environment(A, B) | (~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)))) | (~environment(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk2(sk3)))) | in_environment(sk3, sk4(sk2(sk3)))),
% 0.20/0.48 inference(modus_ponens,[status(thm)],[205, 204])).
% 0.20/0.48 tff(207,plain,
% 0.20/0.48 (in_environment(sk3, sk4(sk2(sk3)))),
% 0.20/0.48 inference(unit_resolution,[status(thm)],[206, 125, 32, 200])).
% 0.20/0.48 tff(208,plain,
% 0.20/0.48 (^[B: $i, A: $i] : refl(((~environment(A)) | (~in_environment(A, B)) | subpopulation(efficient_producers, A, B)) <=> ((~environment(A)) | (~in_environment(A, B)) | subpopulation(efficient_producers, A, B)))),
% 0.20/0.48 inference(bind,[status(th)],[])).
% 0.20/0.48 tff(209,plain,
% 0.20/0.48 (![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | subpopulation(efficient_producers, A, B)) <=> ![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | subpopulation(efficient_producers, A, B))),
% 0.20/0.48 inference(quant_intro,[status(thm)],[208])).
% 0.20/0.48 tff(210,plain,
% 0.20/0.48 (![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | subpopulation(efficient_producers, A, B)) <=> ![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | subpopulation(efficient_producers, A, B))),
% 0.20/0.48 inference(rewrite,[status(thm)],[])).
% 0.20/0.48 tff(211,plain,
% 0.20/0.48 (^[B: $i, A: $i] : rewrite((((~environment(A)) | (~in_environment(A, B))) | subpopulation(efficient_producers, A, B)) <=> ((~environment(A)) | (~in_environment(A, B)) | subpopulation(efficient_producers, A, B)))),
% 0.20/0.48 inference(bind,[status(th)],[])).
% 0.20/0.48 tff(212,plain,
% 0.20/0.48 (![B: $i, A: $i] : (((~environment(A)) | (~in_environment(A, B))) | subpopulation(efficient_producers, A, B)) <=> ![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | subpopulation(efficient_producers, A, B))),
% 0.20/0.49 inference(quant_intro,[status(thm)],[211])).
% 0.20/0.49 tff(213,axiom,(![B: $i, A: $i] : (((~environment(A)) | (~in_environment(A, B))) | subpopulation(efficient_producers, A, B))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','mp_FM_and_EP_organisational_42')).
% 0.20/0.49 tff(214,plain,
% 0.20/0.49 (![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | subpopulation(efficient_producers, A, B))),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[213, 212])).
% 0.20/0.49 tff(215,plain,
% 0.20/0.49 (![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | subpopulation(efficient_producers, A, B))),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[214, 210])).
% 0.20/0.49 tff(216,plain,(
% 0.20/0.49 ![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | subpopulation(efficient_producers, A, B))),
% 0.20/0.49 inference(skolemize,[status(sab)],[215])).
% 0.20/0.49 tff(217,plain,
% 0.20/0.49 (![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | subpopulation(efficient_producers, A, B))),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[216, 209])).
% 0.20/0.49 tff(218,plain,
% 0.20/0.49 (((~![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | subpopulation(efficient_producers, A, B))) | ((~environment(sk3)) | (~in_environment(sk3, sk4(sk2(sk3)))) | subpopulation(efficient_producers, sk3, sk4(sk2(sk3))))) <=> ((~![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | subpopulation(efficient_producers, A, B))) | (~environment(sk3)) | (~in_environment(sk3, sk4(sk2(sk3)))) | subpopulation(efficient_producers, sk3, sk4(sk2(sk3))))),
% 0.20/0.49 inference(rewrite,[status(thm)],[])).
% 0.20/0.49 tff(219,plain,
% 0.20/0.49 ((~![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | subpopulation(efficient_producers, A, B))) | ((~environment(sk3)) | (~in_environment(sk3, sk4(sk2(sk3)))) | subpopulation(efficient_producers, sk3, sk4(sk2(sk3))))),
% 0.20/0.49 inference(quant_inst,[status(thm)],[])).
% 0.20/0.49 tff(220,plain,
% 0.20/0.49 ((~![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | subpopulation(efficient_producers, A, B))) | (~environment(sk3)) | (~in_environment(sk3, sk4(sk2(sk3)))) | subpopulation(efficient_producers, sk3, sk4(sk2(sk3)))),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[219, 218])).
% 0.20/0.49 tff(221,plain,
% 0.20/0.49 (subpopulation(efficient_producers, sk3, sk4(sk2(sk3)))),
% 0.20/0.49 inference(unit_resolution,[status(thm)],[220, 217, 32, 207])).
% 0.20/0.49 tff(222,plain,
% 0.20/0.49 (^[B: $i, A: $i, C: $i] : refl(((number_of_organizations(A, C) = sum(cardinality_at_time(first_movers, C), cardinality_at_time(efficient_producers, C))) | (~subpopulation(B, A, C)) | (~environment(A)) | (~(B = efficient_producers))) <=> ((number_of_organizations(A, C) = sum(cardinality_at_time(first_movers, C), cardinality_at_time(efficient_producers, C))) | (~subpopulation(B, A, C)) | (~environment(A)) | (~(B = efficient_producers))))),
% 0.20/0.49 inference(bind,[status(th)],[])).
% 0.20/0.49 tff(223,plain,
% 0.20/0.49 (![B: $i, A: $i, C: $i] : ((number_of_organizations(A, C) = sum(cardinality_at_time(first_movers, C), cardinality_at_time(efficient_producers, C))) | (~subpopulation(B, A, C)) | (~environment(A)) | (~(B = efficient_producers))) <=> ![B: $i, A: $i, C: $i] : ((number_of_organizations(A, C) = sum(cardinality_at_time(first_movers, C), cardinality_at_time(efficient_producers, C))) | (~subpopulation(B, A, C)) | (~environment(A)) | (~(B = efficient_producers)))),
% 0.20/0.49 inference(quant_intro,[status(thm)],[222])).
% 0.20/0.49 tff(224,plain,
% 0.20/0.49 (![B: $i, A: $i, C: $i] : ((number_of_organizations(A, C) = sum(cardinality_at_time(first_movers, C), cardinality_at_time(efficient_producers, C))) | (~subpopulation(B, A, C)) | (~environment(A)) | (~(B = efficient_producers))) <=> ![B: $i, A: $i, C: $i] : ((number_of_organizations(A, C) = sum(cardinality_at_time(first_movers, C), cardinality_at_time(efficient_producers, C))) | (~subpopulation(B, A, C)) | (~environment(A)) | (~(B = efficient_producers)))),
% 0.20/0.49 inference(rewrite,[status(thm)],[])).
% 0.20/0.49 tff(225,plain,
% 0.20/0.49 (^[B: $i, A: $i, C: $i] : trans(monotonicity(rewrite((((~environment(A)) | (~subpopulation(B, A, C))) | (~(B = efficient_producers))) <=> ((~subpopulation(B, A, C)) | (~environment(A)) | (~(B = efficient_producers)))), (((((~environment(A)) | (~subpopulation(B, A, C))) | (~(B = efficient_producers))) | (number_of_organizations(A, C) = sum(cardinality_at_time(first_movers, C), cardinality_at_time(efficient_producers, C)))) <=> (((~subpopulation(B, A, C)) | (~environment(A)) | (~(B = efficient_producers))) | (number_of_organizations(A, C) = sum(cardinality_at_time(first_movers, C), cardinality_at_time(efficient_producers, C)))))), rewrite((((~subpopulation(B, A, C)) | (~environment(A)) | (~(B = efficient_producers))) | (number_of_organizations(A, C) = sum(cardinality_at_time(first_movers, C), cardinality_at_time(efficient_producers, C)))) <=> ((number_of_organizations(A, C) = sum(cardinality_at_time(first_movers, C), cardinality_at_time(efficient_producers, C))) | (~subpopulation(B, A, C)) | (~environment(A)) | (~(B = efficient_producers)))), (((((~environment(A)) | (~subpopulation(B, A, C))) | (~(B = efficient_producers))) | (number_of_organizations(A, C) = sum(cardinality_at_time(first_movers, C), cardinality_at_time(efficient_producers, C)))) <=> ((number_of_organizations(A, C) = sum(cardinality_at_time(first_movers, C), cardinality_at_time(efficient_producers, C))) | (~subpopulation(B, A, C)) | (~environment(A)) | (~(B = efficient_producers)))))),
% 0.20/0.49 inference(bind,[status(th)],[])).
% 0.20/0.49 tff(226,plain,
% 0.20/0.49 (![B: $i, A: $i, C: $i] : ((((~environment(A)) | (~subpopulation(B, A, C))) | (~(B = efficient_producers))) | (number_of_organizations(A, C) = sum(cardinality_at_time(first_movers, C), cardinality_at_time(efficient_producers, C)))) <=> ![B: $i, A: $i, C: $i] : ((number_of_organizations(A, C) = sum(cardinality_at_time(first_movers, C), cardinality_at_time(efficient_producers, C))) | (~subpopulation(B, A, C)) | (~environment(A)) | (~(B = efficient_producers)))),
% 0.20/0.49 inference(quant_intro,[status(thm)],[225])).
% 0.20/0.49 tff(227,axiom,(![B: $i, A: $i, C: $i] : ((((~environment(A)) | (~subpopulation(B, A, C))) | (~(B = efficient_producers))) | (number_of_organizations(A, C) = sum(cardinality_at_time(first_movers, C), cardinality_at_time(efficient_producers, C))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','mp_only_members_39')).
% 0.20/0.49 tff(228,plain,
% 0.20/0.49 (![B: $i, A: $i, C: $i] : ((number_of_organizations(A, C) = sum(cardinality_at_time(first_movers, C), cardinality_at_time(efficient_producers, C))) | (~subpopulation(B, A, C)) | (~environment(A)) | (~(B = efficient_producers)))),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[227, 226])).
% 0.20/0.49 tff(229,plain,
% 0.20/0.49 (![B: $i, A: $i, C: $i] : ((number_of_organizations(A, C) = sum(cardinality_at_time(first_movers, C), cardinality_at_time(efficient_producers, C))) | (~subpopulation(B, A, C)) | (~environment(A)) | (~(B = efficient_producers)))),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[228, 224])).
% 0.20/0.49 tff(230,plain,(
% 0.20/0.49 ![B: $i, A: $i, C: $i] : ((number_of_organizations(A, C) = sum(cardinality_at_time(first_movers, C), cardinality_at_time(efficient_producers, C))) | (~subpopulation(B, A, C)) | (~environment(A)) | (~(B = efficient_producers)))),
% 0.20/0.49 inference(skolemize,[status(sab)],[229])).
% 0.20/0.49 tff(231,plain,
% 0.20/0.49 (![B: $i, A: $i, C: $i] : ((number_of_organizations(A, C) = sum(cardinality_at_time(first_movers, C), cardinality_at_time(efficient_producers, C))) | (~subpopulation(B, A, C)) | (~environment(A)) | (~(B = efficient_producers)))),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[230, 223])).
% 0.20/0.49 tff(232,plain,
% 0.20/0.49 (((~![B: $i, A: $i, C: $i] : ((number_of_organizations(A, C) = sum(cardinality_at_time(first_movers, C), cardinality_at_time(efficient_producers, C))) | (~subpopulation(B, A, C)) | (~environment(A)) | (~(B = efficient_producers)))) | ((~environment(sk3)) | (~subpopulation(efficient_producers, sk3, sk4(sk2(sk3)))) | (number_of_organizations(sk3, sk4(sk2(sk3))) = sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3))))))) <=> ((~![B: $i, A: $i, C: $i] : ((number_of_organizations(A, C) = sum(cardinality_at_time(first_movers, C), cardinality_at_time(efficient_producers, C))) | (~subpopulation(B, A, C)) | (~environment(A)) | (~(B = efficient_producers)))) | (~environment(sk3)) | (~subpopulation(efficient_producers, sk3, sk4(sk2(sk3)))) | (number_of_organizations(sk3, sk4(sk2(sk3))) = sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3))))))),
% 0.20/0.49 inference(rewrite,[status(thm)],[])).
% 0.20/0.49 tff(233,plain,
% 0.20/0.49 (((number_of_organizations(sk3, sk4(sk2(sk3))) = sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3))))) | (~subpopulation(efficient_producers, sk3, sk4(sk2(sk3)))) | (~environment(sk3)) | $false) <=> ((~environment(sk3)) | (~subpopulation(efficient_producers, sk3, sk4(sk2(sk3)))) | (number_of_organizations(sk3, sk4(sk2(sk3))) = sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3))))))),
% 0.20/0.49 inference(rewrite,[status(thm)],[])).
% 0.20/0.49 tff(234,plain,
% 0.20/0.49 ((~$true) <=> $false),
% 0.20/0.49 inference(rewrite,[status(thm)],[])).
% 0.20/0.49 tff(235,plain,
% 0.20/0.49 ((efficient_producers = efficient_producers) <=> $true),
% 0.20/0.49 inference(rewrite,[status(thm)],[])).
% 0.20/0.49 tff(236,plain,
% 0.20/0.49 ((~(efficient_producers = efficient_producers)) <=> (~$true)),
% 0.20/0.49 inference(monotonicity,[status(thm)],[235])).
% 0.20/0.49 tff(237,plain,
% 0.20/0.49 ((~(efficient_producers = efficient_producers)) <=> $false),
% 0.20/0.49 inference(transitivity,[status(thm)],[236, 234])).
% 0.20/0.49 tff(238,plain,
% 0.20/0.49 (((number_of_organizations(sk3, sk4(sk2(sk3))) = sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3))))) | (~subpopulation(efficient_producers, sk3, sk4(sk2(sk3)))) | (~environment(sk3)) | (~(efficient_producers = efficient_producers))) <=> ((number_of_organizations(sk3, sk4(sk2(sk3))) = sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3))))) | (~subpopulation(efficient_producers, sk3, sk4(sk2(sk3)))) | (~environment(sk3)) | $false)),
% 0.20/0.49 inference(monotonicity,[status(thm)],[237])).
% 0.20/0.49 tff(239,plain,
% 0.20/0.49 (((number_of_organizations(sk3, sk4(sk2(sk3))) = sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3))))) | (~subpopulation(efficient_producers, sk3, sk4(sk2(sk3)))) | (~environment(sk3)) | (~(efficient_producers = efficient_producers))) <=> ((~environment(sk3)) | (~subpopulation(efficient_producers, sk3, sk4(sk2(sk3)))) | (number_of_organizations(sk3, sk4(sk2(sk3))) = sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3))))))),
% 0.20/0.49 inference(transitivity,[status(thm)],[238, 233])).
% 0.20/0.49 tff(240,plain,
% 0.20/0.49 (((~![B: $i, A: $i, C: $i] : ((number_of_organizations(A, C) = sum(cardinality_at_time(first_movers, C), cardinality_at_time(efficient_producers, C))) | (~subpopulation(B, A, C)) | (~environment(A)) | (~(B = efficient_producers)))) | ((number_of_organizations(sk3, sk4(sk2(sk3))) = sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3))))) | (~subpopulation(efficient_producers, sk3, sk4(sk2(sk3)))) | (~environment(sk3)) | (~(efficient_producers = efficient_producers)))) <=> ((~![B: $i, A: $i, C: $i] : ((number_of_organizations(A, C) = sum(cardinality_at_time(first_movers, C), cardinality_at_time(efficient_producers, C))) | (~subpopulation(B, A, C)) | (~environment(A)) | (~(B = efficient_producers)))) | ((~environment(sk3)) | (~subpopulation(efficient_producers, sk3, sk4(sk2(sk3)))) | (number_of_organizations(sk3, sk4(sk2(sk3))) = sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3)))))))),
% 0.20/0.49 inference(monotonicity,[status(thm)],[239])).
% 0.20/0.49 tff(241,plain,
% 0.20/0.49 (((~![B: $i, A: $i, C: $i] : ((number_of_organizations(A, C) = sum(cardinality_at_time(first_movers, C), cardinality_at_time(efficient_producers, C))) | (~subpopulation(B, A, C)) | (~environment(A)) | (~(B = efficient_producers)))) | ((number_of_organizations(sk3, sk4(sk2(sk3))) = sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3))))) | (~subpopulation(efficient_producers, sk3, sk4(sk2(sk3)))) | (~environment(sk3)) | (~(efficient_producers = efficient_producers)))) <=> ((~![B: $i, A: $i, C: $i] : ((number_of_organizations(A, C) = sum(cardinality_at_time(first_movers, C), cardinality_at_time(efficient_producers, C))) | (~subpopulation(B, A, C)) | (~environment(A)) | (~(B = efficient_producers)))) | (~environment(sk3)) | (~subpopulation(efficient_producers, sk3, sk4(sk2(sk3)))) | (number_of_organizations(sk3, sk4(sk2(sk3))) = sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3))))))),
% 0.20/0.49 inference(transitivity,[status(thm)],[240, 232])).
% 0.20/0.49 tff(242,plain,
% 0.20/0.49 ((~![B: $i, A: $i, C: $i] : ((number_of_organizations(A, C) = sum(cardinality_at_time(first_movers, C), cardinality_at_time(efficient_producers, C))) | (~subpopulation(B, A, C)) | (~environment(A)) | (~(B = efficient_producers)))) | ((number_of_organizations(sk3, sk4(sk2(sk3))) = sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3))))) | (~subpopulation(efficient_producers, sk3, sk4(sk2(sk3)))) | (~environment(sk3)) | (~(efficient_producers = efficient_producers)))),
% 0.20/0.49 inference(quant_inst,[status(thm)],[])).
% 0.20/0.49 tff(243,plain,
% 0.20/0.49 ((~![B: $i, A: $i, C: $i] : ((number_of_organizations(A, C) = sum(cardinality_at_time(first_movers, C), cardinality_at_time(efficient_producers, C))) | (~subpopulation(B, A, C)) | (~environment(A)) | (~(B = efficient_producers)))) | (~environment(sk3)) | (~subpopulation(efficient_producers, sk3, sk4(sk2(sk3)))) | (number_of_organizations(sk3, sk4(sk2(sk3))) = sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3)))))),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[242, 241])).
% 0.20/0.49 tff(244,plain,
% 0.20/0.49 (number_of_organizations(sk3, sk4(sk2(sk3))) = sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3))))),
% 0.20/0.49 inference(unit_resolution,[status(thm)],[243, 231, 32, 221])).
% 0.20/0.49 tff(245,plain,
% 0.20/0.49 (sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3)))) = number_of_organizations(sk3, sk4(sk2(sk3)))),
% 0.20/0.49 inference(symmetry,[status(thm)],[244])).
% 0.20/0.49 tff(246,plain,
% 0.20/0.49 (constant(sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3))))) <=> constant(number_of_organizations(sk3, sk4(sk2(sk3))))),
% 0.20/0.49 inference(monotonicity,[status(thm)],[245])).
% 0.20/0.49 tff(247,plain,
% 0.20/0.49 ((~constant(sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3)))))) <=> (~constant(number_of_organizations(sk3, sk4(sk2(sk3)))))),
% 0.20/0.49 inference(monotonicity,[status(thm)],[246])).
% 0.20/0.49 tff(248,assumption,(constant(sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3)))))), introduced(assumption)).
% 0.20/0.49 tff(249,assumption,(~decreases(cardinality_at_time(first_movers, sk4(sk2(sk3))))), introduced(assumption)).
% 0.20/0.49 tff(250,assumption,(~increases(cardinality_at_time(first_movers, sk4(sk2(sk3))))), introduced(assumption)).
% 0.20/0.49 tff(251,plain,
% 0.20/0.49 (^[B: $i, A: $i, C: $i] : refl((decreases(B) | increases(B) | constant(B) | (~constant(A)) | (~(A = sum(B, C)))) <=> (decreases(B) | increases(B) | constant(B) | (~constant(A)) | (~(A = sum(B, C)))))),
% 0.20/0.49 inference(bind,[status(th)],[])).
% 0.20/0.49 tff(252,plain,
% 0.20/0.49 (![B: $i, A: $i, C: $i] : (decreases(B) | increases(B) | constant(B) | (~constant(A)) | (~(A = sum(B, C)))) <=> ![B: $i, A: $i, C: $i] : (decreases(B) | increases(B) | constant(B) | (~constant(A)) | (~(A = sum(B, C))))),
% 0.20/0.49 inference(quant_intro,[status(thm)],[251])).
% 0.20/0.49 tff(253,plain,
% 0.20/0.49 (![B: $i, A: $i, C: $i] : (decreases(B) | increases(B) | constant(B) | (~constant(A)) | (~(A = sum(B, C)))) <=> ![B: $i, A: $i, C: $i] : (decreases(B) | increases(B) | constant(B) | (~constant(A)) | (~(A = sum(B, C))))),
% 0.20/0.49 inference(rewrite,[status(thm)],[])).
% 0.20/0.49 tff(254,plain,
% 0.20/0.49 (^[B: $i, A: $i, C: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~(A = sum(B, C))) | (~constant(A))) <=> ((~constant(A)) | (~(A = sum(B, C))))), ((((~(A = sum(B, C))) | (~constant(A))) | constant(B)) <=> (((~constant(A)) | (~(A = sum(B, C)))) | constant(B)))), rewrite((((~constant(A)) | (~(A = sum(B, C)))) | constant(B)) <=> (constant(B) | (~constant(A)) | (~(A = sum(B, C))))), ((((~(A = sum(B, C))) | (~constant(A))) | constant(B)) <=> (constant(B) | (~constant(A)) | (~(A = sum(B, C)))))), (((((~(A = sum(B, C))) | (~constant(A))) | constant(B)) | increases(B)) <=> ((constant(B) | (~constant(A)) | (~(A = sum(B, C)))) | increases(B)))), rewrite(((constant(B) | (~constant(A)) | (~(A = sum(B, C)))) | increases(B)) <=> (increases(B) | constant(B) | (~constant(A)) | (~(A = sum(B, C))))), (((((~(A = sum(B, C))) | (~constant(A))) | constant(B)) | increases(B)) <=> (increases(B) | constant(B) | (~constant(A)) | (~(A = sum(B, C)))))), ((((((~(A = sum(B, C))) | (~constant(A))) | constant(B)) | increases(B)) | decreases(B)) <=> ((increases(B) | constant(B) | (~constant(A)) | (~(A = sum(B, C)))) | decreases(B)))), rewrite(((increases(B) | constant(B) | (~constant(A)) | (~(A = sum(B, C)))) | decreases(B)) <=> (decreases(B) | increases(B) | constant(B) | (~constant(A)) | (~(A = sum(B, C))))), ((((((~(A = sum(B, C))) | (~constant(A))) | constant(B)) | increases(B)) | decreases(B)) <=> (decreases(B) | increases(B) | constant(B) | (~constant(A)) | (~(A = sum(B, C))))))),
% 0.20/0.49 inference(bind,[status(th)],[])).
% 0.20/0.49 tff(255,plain,
% 0.20/0.49 (![B: $i, A: $i, C: $i] : (((((~(A = sum(B, C))) | (~constant(A))) | constant(B)) | increases(B)) | decreases(B)) <=> ![B: $i, A: $i, C: $i] : (decreases(B) | increases(B) | constant(B) | (~constant(A)) | (~(A = sum(B, C))))),
% 0.20/0.49 inference(quant_intro,[status(thm)],[254])).
% 0.20/0.49 tff(256,axiom,(![B: $i, A: $i, C: $i] : (((((~(A = sum(B, C))) | (~constant(A))) | constant(B)) | increases(B)) | decreases(B))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','mp_abc_sum_increase_43')).
% 0.20/0.49 tff(257,plain,
% 0.20/0.49 (![B: $i, A: $i, C: $i] : (decreases(B) | increases(B) | constant(B) | (~constant(A)) | (~(A = sum(B, C))))),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[256, 255])).
% 0.20/0.49 tff(258,plain,
% 0.20/0.49 (![B: $i, A: $i, C: $i] : (decreases(B) | increases(B) | constant(B) | (~constant(A)) | (~(A = sum(B, C))))),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[257, 253])).
% 0.20/0.49 tff(259,plain,(
% 0.20/0.49 ![B: $i, A: $i, C: $i] : (decreases(B) | increases(B) | constant(B) | (~constant(A)) | (~(A = sum(B, C))))),
% 0.20/0.49 inference(skolemize,[status(sab)],[258])).
% 0.20/0.49 tff(260,plain,
% 0.20/0.49 (![B: $i, A: $i, C: $i] : (decreases(B) | increases(B) | constant(B) | (~constant(A)) | (~(A = sum(B, C))))),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[259, 252])).
% 0.20/0.49 tff(261,plain,
% 0.20/0.49 (((~![B: $i, A: $i, C: $i] : (decreases(B) | increases(B) | constant(B) | (~constant(A)) | (~(A = sum(B, C))))) | (decreases(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | increases(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | constant(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3)))))))) <=> ((~![B: $i, A: $i, C: $i] : (decreases(B) | increases(B) | constant(B) | (~constant(A)) | (~(A = sum(B, C))))) | decreases(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | increases(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | constant(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3)))))))),
% 0.20/0.49 inference(rewrite,[status(thm)],[])).
% 0.20/0.49 tff(262,plain,
% 0.20/0.49 ((decreases(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | increases(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | constant(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3)))))) | $false) <=> (decreases(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | increases(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | constant(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3)))))))),
% 0.20/0.49 inference(rewrite,[status(thm)],[])).
% 0.20/0.49 tff(263,plain,
% 0.20/0.49 ((sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3)))) = sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3))))) <=> $true),
% 0.20/0.49 inference(rewrite,[status(thm)],[])).
% 0.20/0.49 tff(264,plain,
% 0.20/0.49 ((~(sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3)))) = sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3)))))) <=> (~$true)),
% 0.20/0.49 inference(monotonicity,[status(thm)],[263])).
% 0.20/0.49 tff(265,plain,
% 0.20/0.49 ((~(sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3)))) = sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3)))))) <=> $false),
% 0.20/0.49 inference(transitivity,[status(thm)],[264, 234])).
% 0.20/0.49 tff(266,plain,
% 0.20/0.49 ((decreases(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | increases(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | constant(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3)))))) | (~(sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3)))) = sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3))))))) <=> (decreases(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | increases(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | constant(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3)))))) | $false)),
% 0.20/0.49 inference(monotonicity,[status(thm)],[265])).
% 0.20/0.49 tff(267,plain,
% 0.20/0.49 ((decreases(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | increases(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | constant(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3)))))) | (~(sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3)))) = sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3))))))) <=> (decreases(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | increases(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | constant(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3)))))))),
% 0.20/0.49 inference(transitivity,[status(thm)],[266, 262])).
% 0.20/0.49 tff(268,plain,
% 0.20/0.49 (((~![B: $i, A: $i, C: $i] : (decreases(B) | increases(B) | constant(B) | (~constant(A)) | (~(A = sum(B, C))))) | (decreases(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | increases(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | constant(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3)))))) | (~(sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3)))) = sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3)))))))) <=> ((~![B: $i, A: $i, C: $i] : (decreases(B) | increases(B) | constant(B) | (~constant(A)) | (~(A = sum(B, C))))) | (decreases(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | increases(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | constant(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3))))))))),
% 0.20/0.49 inference(monotonicity,[status(thm)],[267])).
% 0.20/0.49 tff(269,plain,
% 0.20/0.49 (((~![B: $i, A: $i, C: $i] : (decreases(B) | increases(B) | constant(B) | (~constant(A)) | (~(A = sum(B, C))))) | (decreases(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | increases(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | constant(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3)))))) | (~(sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3)))) = sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3)))))))) <=> ((~![B: $i, A: $i, C: $i] : (decreases(B) | increases(B) | constant(B) | (~constant(A)) | (~(A = sum(B, C))))) | decreases(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | increases(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | constant(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3)))))))),
% 0.20/0.49 inference(transitivity,[status(thm)],[268, 261])).
% 0.20/0.49 tff(270,plain,
% 0.20/0.49 ((~![B: $i, A: $i, C: $i] : (decreases(B) | increases(B) | constant(B) | (~constant(A)) | (~(A = sum(B, C))))) | (decreases(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | increases(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | constant(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3)))))) | (~(sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3)))) = sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3)))))))),
% 0.20/0.49 inference(quant_inst,[status(thm)],[])).
% 0.20/0.49 tff(271,plain,
% 0.20/0.49 ((~![B: $i, A: $i, C: $i] : (decreases(B) | increases(B) | constant(B) | (~constant(A)) | (~(A = sum(B, C))))) | decreases(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | increases(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | constant(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3))))))),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[270, 269])).
% 0.20/0.49 tff(272,plain,
% 0.20/0.49 (decreases(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | increases(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | constant(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3))))))),
% 0.20/0.49 inference(unit_resolution,[status(thm)],[271, 260])).
% 0.20/0.49 tff(273,plain,
% 0.20/0.49 (constant(cardinality_at_time(first_movers, sk4(sk2(sk3))))),
% 0.20/0.49 inference(unit_resolution,[status(thm)],[272, 250, 249, 248])).
% 0.20/0.49 tff(274,plain,
% 0.20/0.49 (^[B: $i, A: $i] : refl(((~environment(A)) | (~in_environment(A, B)) | subpopulation(first_movers, A, B)) <=> ((~environment(A)) | (~in_environment(A, B)) | subpopulation(first_movers, A, B)))),
% 0.20/0.49 inference(bind,[status(th)],[])).
% 0.20/0.49 tff(275,plain,
% 0.20/0.49 (![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | subpopulation(first_movers, A, B)) <=> ![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | subpopulation(first_movers, A, B))),
% 0.20/0.49 inference(quant_intro,[status(thm)],[274])).
% 0.20/0.49 tff(276,plain,
% 0.20/0.49 (![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | subpopulation(first_movers, A, B)) <=> ![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | subpopulation(first_movers, A, B))),
% 0.20/0.49 inference(rewrite,[status(thm)],[])).
% 0.20/0.49 tff(277,plain,
% 0.20/0.49 (^[B: $i, A: $i] : rewrite((((~environment(A)) | (~in_environment(A, B))) | subpopulation(first_movers, A, B)) <=> ((~environment(A)) | (~in_environment(A, B)) | subpopulation(first_movers, A, B)))),
% 0.20/0.50 inference(bind,[status(th)],[])).
% 0.20/0.50 tff(278,plain,
% 0.20/0.50 (![B: $i, A: $i] : (((~environment(A)) | (~in_environment(A, B))) | subpopulation(first_movers, A, B)) <=> ![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | subpopulation(first_movers, A, B))),
% 0.20/0.50 inference(quant_intro,[status(thm)],[277])).
% 0.20/0.50 tff(279,axiom,(![B: $i, A: $i] : (((~environment(A)) | (~in_environment(A, B))) | subpopulation(first_movers, A, B))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','mp_FM_and_EP_organisational_41')).
% 0.20/0.50 tff(280,plain,
% 0.20/0.50 (![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | subpopulation(first_movers, A, B))),
% 0.20/0.50 inference(modus_ponens,[status(thm)],[279, 278])).
% 0.20/0.50 tff(281,plain,
% 0.20/0.50 (![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | subpopulation(first_movers, A, B))),
% 0.20/0.50 inference(modus_ponens,[status(thm)],[280, 276])).
% 0.20/0.50 tff(282,plain,(
% 0.20/0.50 ![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | subpopulation(first_movers, A, B))),
% 0.20/0.50 inference(skolemize,[status(sab)],[281])).
% 0.20/0.50 tff(283,plain,
% 0.20/0.50 (![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | subpopulation(first_movers, A, B))),
% 0.20/0.50 inference(modus_ponens,[status(thm)],[282, 275])).
% 0.20/0.50 tff(284,plain,
% 0.20/0.50 (((~![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | subpopulation(first_movers, A, B))) | ((~environment(sk3)) | (~in_environment(sk3, sk4(sk2(sk3)))) | subpopulation(first_movers, sk3, sk4(sk2(sk3))))) <=> ((~![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | subpopulation(first_movers, A, B))) | (~environment(sk3)) | (~in_environment(sk3, sk4(sk2(sk3)))) | subpopulation(first_movers, sk3, sk4(sk2(sk3))))),
% 0.20/0.50 inference(rewrite,[status(thm)],[])).
% 0.20/0.50 tff(285,plain,
% 0.20/0.50 ((~![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | subpopulation(first_movers, A, B))) | ((~environment(sk3)) | (~in_environment(sk3, sk4(sk2(sk3)))) | subpopulation(first_movers, sk3, sk4(sk2(sk3))))),
% 0.20/0.50 inference(quant_inst,[status(thm)],[])).
% 0.20/0.50 tff(286,plain,
% 0.20/0.50 ((~![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | subpopulation(first_movers, A, B))) | (~environment(sk3)) | (~in_environment(sk3, sk4(sk2(sk3)))) | subpopulation(first_movers, sk3, sk4(sk2(sk3)))),
% 0.20/0.50 inference(modus_ponens,[status(thm)],[285, 284])).
% 0.20/0.50 tff(287,plain,
% 0.20/0.50 (subpopulation(first_movers, sk3, sk4(sk2(sk3)))),
% 0.20/0.50 inference(unit_resolution,[status(thm)],[286, 283, 32, 207])).
% 0.20/0.50 tff(288,plain,
% 0.20/0.50 (^[B: $i, A: $i] : refl(((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(cardinality_at_time(first_movers, B), zero)) <=> ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(cardinality_at_time(first_movers, B), zero)))),
% 0.20/0.50 inference(bind,[status(th)],[])).
% 0.20/0.50 tff(289,plain,
% 0.20/0.50 (![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(cardinality_at_time(first_movers, B), zero)) <=> ![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(cardinality_at_time(first_movers, B), zero))),
% 0.20/0.50 inference(quant_intro,[status(thm)],[288])).
% 0.20/0.50 tff(290,plain,
% 0.20/0.50 (![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(cardinality_at_time(first_movers, B), zero)) <=> ![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(cardinality_at_time(first_movers, B), zero))),
% 0.20/0.50 inference(rewrite,[status(thm)],[])).
% 0.20/0.50 tff(291,plain,
% 0.20/0.50 (^[B: $i, A: $i] : rewrite((((~environment(A)) | (~subpopulations(first_movers, efficient_producers, A, B))) | greater(cardinality_at_time(first_movers, B), zero)) <=> ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(cardinality_at_time(first_movers, B), zero)))),
% 0.20/0.50 inference(bind,[status(th)],[])).
% 0.20/0.50 tff(292,plain,
% 0.20/0.50 (![B: $i, A: $i] : (((~environment(A)) | (~subpopulations(first_movers, efficient_producers, A, B))) | greater(cardinality_at_time(first_movers, B), zero)) <=> ![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(cardinality_at_time(first_movers, B), zero))),
% 0.20/0.50 inference(quant_intro,[status(thm)],[291])).
% 0.20/0.50 tff(293,axiom,(![B: $i, A: $i] : (((~environment(A)) | (~subpopulations(first_movers, efficient_producers, A, B))) | greater(cardinality_at_time(first_movers, B), zero))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','mp_positive_number_of_organizations_54')).
% 0.20/0.50 tff(294,plain,
% 0.20/0.50 (![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(cardinality_at_time(first_movers, B), zero))),
% 0.20/0.50 inference(modus_ponens,[status(thm)],[293, 292])).
% 0.20/0.50 tff(295,plain,
% 0.20/0.50 (![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(cardinality_at_time(first_movers, B), zero))),
% 0.20/0.50 inference(modus_ponens,[status(thm)],[294, 290])).
% 0.20/0.50 tff(296,plain,(
% 0.20/0.50 ![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(cardinality_at_time(first_movers, B), zero))),
% 0.20/0.50 inference(skolemize,[status(sab)],[295])).
% 0.20/0.50 tff(297,plain,
% 0.20/0.50 (![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(cardinality_at_time(first_movers, B), zero))),
% 0.20/0.50 inference(modus_ponens,[status(thm)],[296, 289])).
% 0.20/0.50 tff(298,plain,
% 0.20/0.50 (((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(cardinality_at_time(first_movers, B), zero))) | ((~environment(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk2(sk3)))) | greater(cardinality_at_time(first_movers, sk4(sk2(sk3))), zero))) <=> ((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(cardinality_at_time(first_movers, B), zero))) | (~environment(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk2(sk3)))) | greater(cardinality_at_time(first_movers, sk4(sk2(sk3))), zero))),
% 0.20/0.50 inference(rewrite,[status(thm)],[])).
% 0.20/0.50 tff(299,plain,
% 0.20/0.50 (((~subpopulations(first_movers, efficient_producers, sk3, sk4(sk2(sk3)))) | (~environment(sk3)) | greater(cardinality_at_time(first_movers, sk4(sk2(sk3))), zero)) <=> ((~environment(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk2(sk3)))) | greater(cardinality_at_time(first_movers, sk4(sk2(sk3))), zero))),
% 0.20/0.50 inference(rewrite,[status(thm)],[])).
% 0.20/0.50 tff(300,plain,
% 0.20/0.50 (((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(cardinality_at_time(first_movers, B), zero))) | ((~subpopulations(first_movers, efficient_producers, sk3, sk4(sk2(sk3)))) | (~environment(sk3)) | greater(cardinality_at_time(first_movers, sk4(sk2(sk3))), zero))) <=> ((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(cardinality_at_time(first_movers, B), zero))) | ((~environment(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk2(sk3)))) | greater(cardinality_at_time(first_movers, sk4(sk2(sk3))), zero)))),
% 0.20/0.50 inference(monotonicity,[status(thm)],[299])).
% 0.20/0.50 tff(301,plain,
% 0.20/0.50 (((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(cardinality_at_time(first_movers, B), zero))) | ((~subpopulations(first_movers, efficient_producers, sk3, sk4(sk2(sk3)))) | (~environment(sk3)) | greater(cardinality_at_time(first_movers, sk4(sk2(sk3))), zero))) <=> ((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(cardinality_at_time(first_movers, B), zero))) | (~environment(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk2(sk3)))) | greater(cardinality_at_time(first_movers, sk4(sk2(sk3))), zero))),
% 0.20/0.50 inference(transitivity,[status(thm)],[300, 298])).
% 0.20/0.50 tff(302,plain,
% 0.20/0.50 ((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(cardinality_at_time(first_movers, B), zero))) | ((~subpopulations(first_movers, efficient_producers, sk3, sk4(sk2(sk3)))) | (~environment(sk3)) | greater(cardinality_at_time(first_movers, sk4(sk2(sk3))), zero))),
% 0.20/0.50 inference(quant_inst,[status(thm)],[])).
% 0.20/0.50 tff(303,plain,
% 0.20/0.50 ((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(cardinality_at_time(first_movers, B), zero))) | (~environment(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk2(sk3)))) | greater(cardinality_at_time(first_movers, sk4(sk2(sk3))), zero)),
% 0.20/0.50 inference(modus_ponens,[status(thm)],[302, 301])).
% 0.20/0.50 tff(304,plain,
% 0.20/0.50 (greater(cardinality_at_time(first_movers, sk4(sk2(sk3))), zero)),
% 0.20/0.50 inference(unit_resolution,[status(thm)],[303, 297, 32, 200])).
% 0.20/0.50 tff(305,plain,
% 0.20/0.50 (^[B: $i, A: $i, C: $i] : refl(((~environment(A)) | (growth_rate(C, B) = zero) | (~constant(cardinality_at_time(C, B))) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B))) <=> ((~environment(A)) | (growth_rate(C, B) = zero) | (~constant(cardinality_at_time(C, B))) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B))))),
% 0.20/0.50 inference(bind,[status(th)],[])).
% 0.20/0.50 tff(306,plain,
% 0.20/0.50 (![B: $i, A: $i, C: $i] : ((~environment(A)) | (growth_rate(C, B) = zero) | (~constant(cardinality_at_time(C, B))) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B))) <=> ![B: $i, A: $i, C: $i] : ((~environment(A)) | (growth_rate(C, B) = zero) | (~constant(cardinality_at_time(C, B))) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)))),
% 0.20/0.50 inference(quant_intro,[status(thm)],[305])).
% 0.20/0.50 tff(307,plain,
% 0.20/0.50 (![B: $i, A: $i, C: $i] : ((~environment(A)) | (growth_rate(C, B) = zero) | (~constant(cardinality_at_time(C, B))) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B))) <=> ![B: $i, A: $i, C: $i] : ((~environment(A)) | (growth_rate(C, B) = zero) | (~constant(cardinality_at_time(C, B))) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)))),
% 0.20/0.50 inference(rewrite,[status(thm)],[])).
% 0.20/0.50 tff(308,plain,
% 0.20/0.50 (^[B: $i, A: $i, C: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~environment(A)) | (~in_environment(A, B))) | (~subpopulation(C, A, B))) <=> ((~environment(A)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)))), (((((~environment(A)) | (~in_environment(A, B))) | (~subpopulation(C, A, B))) | (~greater(cardinality_at_time(C, B), zero))) <=> (((~environment(A)) | (~subpopulation(C, A, B)) | (~in_environment(A, B))) | (~greater(cardinality_at_time(C, B), zero))))), rewrite((((~environment(A)) | (~subpopulation(C, A, B)) | (~in_environment(A, B))) | (~greater(cardinality_at_time(C, B), zero))) <=> ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)))), (((((~environment(A)) | (~in_environment(A, B))) | (~subpopulation(C, A, B))) | (~greater(cardinality_at_time(C, B), zero))) <=> ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B))))), ((((((~environment(A)) | (~in_environment(A, B))) | (~subpopulation(C, A, B))) | (~greater(cardinality_at_time(C, B), zero))) | (~constant(cardinality_at_time(C, B)))) <=> (((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B))) | (~constant(cardinality_at_time(C, B)))))), rewrite((((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B))) | (~constant(cardinality_at_time(C, B)))) <=> ((~environment(A)) | (~constant(cardinality_at_time(C, B))) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)))), ((((((~environment(A)) | (~in_environment(A, B))) | (~subpopulation(C, A, B))) | (~greater(cardinality_at_time(C, B), zero))) | (~constant(cardinality_at_time(C, B)))) <=> ((~environment(A)) | (~constant(cardinality_at_time(C, B))) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B))))), (((((((~environment(A)) | (~in_environment(A, B))) | (~subpopulation(C, A, B))) | (~greater(cardinality_at_time(C, B), zero))) | (~constant(cardinality_at_time(C, B)))) | (growth_rate(C, B) = zero)) <=> (((~environment(A)) | (~constant(cardinality_at_time(C, B))) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B))) | (growth_rate(C, B) = zero)))), rewrite((((~environment(A)) | (~constant(cardinality_at_time(C, B))) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B))) | (growth_rate(C, B) = zero)) <=> ((~environment(A)) | (growth_rate(C, B) = zero) | (~constant(cardinality_at_time(C, B))) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)))), (((((((~environment(A)) | (~in_environment(A, B))) | (~subpopulation(C, A, B))) | (~greater(cardinality_at_time(C, B), zero))) | (~constant(cardinality_at_time(C, B)))) | (growth_rate(C, B) = zero)) <=> ((~environment(A)) | (growth_rate(C, B) = zero) | (~constant(cardinality_at_time(C, B))) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)))))),
% 0.20/0.50 inference(bind,[status(th)],[])).
% 0.20/0.50 tff(309,plain,
% 0.20/0.50 (![B: $i, A: $i, C: $i] : ((((((~environment(A)) | (~in_environment(A, B))) | (~subpopulation(C, A, B))) | (~greater(cardinality_at_time(C, B), zero))) | (~constant(cardinality_at_time(C, B)))) | (growth_rate(C, B) = zero)) <=> ![B: $i, A: $i, C: $i] : ((~environment(A)) | (growth_rate(C, B) = zero) | (~constant(cardinality_at_time(C, B))) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)))),
% 0.20/0.50 inference(quant_intro,[status(thm)],[308])).
% 0.20/0.50 tff(310,axiom,(![B: $i, A: $i, C: $i] : ((((((~environment(A)) | (~in_environment(A, B))) | (~subpopulation(C, A, B))) | (~greater(cardinality_at_time(C, B), zero))) | (~constant(cardinality_at_time(C, B)))) | (growth_rate(C, B) = zero))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','mp_growth_rate_51')).
% 0.20/0.50 tff(311,plain,
% 0.20/0.50 (![B: $i, A: $i, C: $i] : ((~environment(A)) | (growth_rate(C, B) = zero) | (~constant(cardinality_at_time(C, B))) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)))),
% 0.20/0.50 inference(modus_ponens,[status(thm)],[310, 309])).
% 0.20/0.50 tff(312,plain,
% 0.20/0.50 (![B: $i, A: $i, C: $i] : ((~environment(A)) | (growth_rate(C, B) = zero) | (~constant(cardinality_at_time(C, B))) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)))),
% 0.20/0.50 inference(modus_ponens,[status(thm)],[311, 307])).
% 0.20/0.50 tff(313,plain,(
% 0.20/0.50 ![B: $i, A: $i, C: $i] : ((~environment(A)) | (growth_rate(C, B) = zero) | (~constant(cardinality_at_time(C, B))) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)))),
% 0.20/0.50 inference(skolemize,[status(sab)],[312])).
% 0.20/0.50 tff(314,plain,
% 0.20/0.50 (![B: $i, A: $i, C: $i] : ((~environment(A)) | (growth_rate(C, B) = zero) | (~constant(cardinality_at_time(C, B))) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)))),
% 0.20/0.50 inference(modus_ponens,[status(thm)],[313, 306])).
% 0.20/0.50 tff(315,plain,
% 0.20/0.50 (((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (growth_rate(C, B) = zero) | (~constant(cardinality_at_time(C, B))) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)))) | ((~environment(sk3)) | (~greater(cardinality_at_time(first_movers, sk4(sk2(sk3))), zero)) | (~in_environment(sk3, sk4(sk2(sk3)))) | (~subpopulation(first_movers, sk3, sk4(sk2(sk3)))) | (growth_rate(first_movers, sk4(sk2(sk3))) = zero) | (~constant(cardinality_at_time(first_movers, sk4(sk2(sk3))))))) <=> ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (growth_rate(C, B) = zero) | (~constant(cardinality_at_time(C, B))) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)))) | (~environment(sk3)) | (~greater(cardinality_at_time(first_movers, sk4(sk2(sk3))), zero)) | (~in_environment(sk3, sk4(sk2(sk3)))) | (~subpopulation(first_movers, sk3, sk4(sk2(sk3)))) | (growth_rate(first_movers, sk4(sk2(sk3))) = zero) | (~constant(cardinality_at_time(first_movers, sk4(sk2(sk3))))))),
% 0.20/0.50 inference(rewrite,[status(thm)],[])).
% 0.20/0.50 tff(316,plain,
% 0.20/0.50 (((~environment(sk3)) | (growth_rate(first_movers, sk4(sk2(sk3))) = zero) | (~constant(cardinality_at_time(first_movers, sk4(sk2(sk3))))) | (~greater(cardinality_at_time(first_movers, sk4(sk2(sk3))), zero)) | (~subpopulation(first_movers, sk3, sk4(sk2(sk3)))) | (~in_environment(sk3, sk4(sk2(sk3))))) <=> ((~environment(sk3)) | (~greater(cardinality_at_time(first_movers, sk4(sk2(sk3))), zero)) | (~in_environment(sk3, sk4(sk2(sk3)))) | (~subpopulation(first_movers, sk3, sk4(sk2(sk3)))) | (growth_rate(first_movers, sk4(sk2(sk3))) = zero) | (~constant(cardinality_at_time(first_movers, sk4(sk2(sk3))))))),
% 0.20/0.50 inference(rewrite,[status(thm)],[])).
% 0.20/0.50 tff(317,plain,
% 0.20/0.50 (((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (growth_rate(C, B) = zero) | (~constant(cardinality_at_time(C, B))) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)))) | ((~environment(sk3)) | (growth_rate(first_movers, sk4(sk2(sk3))) = zero) | (~constant(cardinality_at_time(first_movers, sk4(sk2(sk3))))) | (~greater(cardinality_at_time(first_movers, sk4(sk2(sk3))), zero)) | (~subpopulation(first_movers, sk3, sk4(sk2(sk3)))) | (~in_environment(sk3, sk4(sk2(sk3)))))) <=> ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (growth_rate(C, B) = zero) | (~constant(cardinality_at_time(C, B))) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)))) | ((~environment(sk3)) | (~greater(cardinality_at_time(first_movers, sk4(sk2(sk3))), zero)) | (~in_environment(sk3, sk4(sk2(sk3)))) | (~subpopulation(first_movers, sk3, sk4(sk2(sk3)))) | (growth_rate(first_movers, sk4(sk2(sk3))) = zero) | (~constant(cardinality_at_time(first_movers, sk4(sk2(sk3)))))))),
% 0.20/0.50 inference(monotonicity,[status(thm)],[316])).
% 0.20/0.50 tff(318,plain,
% 0.20/0.50 (((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (growth_rate(C, B) = zero) | (~constant(cardinality_at_time(C, B))) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)))) | ((~environment(sk3)) | (growth_rate(first_movers, sk4(sk2(sk3))) = zero) | (~constant(cardinality_at_time(first_movers, sk4(sk2(sk3))))) | (~greater(cardinality_at_time(first_movers, sk4(sk2(sk3))), zero)) | (~subpopulation(first_movers, sk3, sk4(sk2(sk3)))) | (~in_environment(sk3, sk4(sk2(sk3)))))) <=> ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (growth_rate(C, B) = zero) | (~constant(cardinality_at_time(C, B))) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)))) | (~environment(sk3)) | (~greater(cardinality_at_time(first_movers, sk4(sk2(sk3))), zero)) | (~in_environment(sk3, sk4(sk2(sk3)))) | (~subpopulation(first_movers, sk3, sk4(sk2(sk3)))) | (growth_rate(first_movers, sk4(sk2(sk3))) = zero) | (~constant(cardinality_at_time(first_movers, sk4(sk2(sk3))))))),
% 0.20/0.50 inference(transitivity,[status(thm)],[317, 315])).
% 0.20/0.50 tff(319,plain,
% 0.20/0.50 ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (growth_rate(C, B) = zero) | (~constant(cardinality_at_time(C, B))) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)))) | ((~environment(sk3)) | (growth_rate(first_movers, sk4(sk2(sk3))) = zero) | (~constant(cardinality_at_time(first_movers, sk4(sk2(sk3))))) | (~greater(cardinality_at_time(first_movers, sk4(sk2(sk3))), zero)) | (~subpopulation(first_movers, sk3, sk4(sk2(sk3)))) | (~in_environment(sk3, sk4(sk2(sk3)))))),
% 0.20/0.50 inference(quant_inst,[status(thm)],[])).
% 0.20/0.50 tff(320,plain,
% 0.20/0.50 ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (growth_rate(C, B) = zero) | (~constant(cardinality_at_time(C, B))) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)))) | (~environment(sk3)) | (~greater(cardinality_at_time(first_movers, sk4(sk2(sk3))), zero)) | (~in_environment(sk3, sk4(sk2(sk3)))) | (~subpopulation(first_movers, sk3, sk4(sk2(sk3)))) | (growth_rate(first_movers, sk4(sk2(sk3))) = zero) | (~constant(cardinality_at_time(first_movers, sk4(sk2(sk3)))))),
% 0.20/0.50 inference(modus_ponens,[status(thm)],[319, 318])).
% 0.20/0.50 tff(321,plain,
% 0.20/0.50 ((growth_rate(first_movers, sk4(sk2(sk3))) = zero) | (~constant(cardinality_at_time(first_movers, sk4(sk2(sk3)))))),
% 0.20/0.50 inference(unit_resolution,[status(thm)],[320, 314, 32, 304, 207, 287])).
% 0.20/0.50 tff(322,plain,
% 0.20/0.50 (growth_rate(first_movers, sk4(sk2(sk3))) = zero),
% 0.20/0.50 inference(unit_resolution,[status(thm)],[321, 273])).
% 0.20/0.50 tff(323,plain,
% 0.20/0.50 ((growth_rate(efficient_producers, sk4(sk2(sk3))) = growth_rate(first_movers, sk4(sk2(sk3)))) <=> (growth_rate(efficient_producers, sk4(sk2(sk3))) = zero)),
% 0.20/0.50 inference(monotonicity,[status(thm)],[322])).
% 0.20/0.50 tff(324,plain,
% 0.20/0.50 ((growth_rate(efficient_producers, sk4(sk2(sk3))) = zero) <=> (growth_rate(efficient_producers, sk4(sk2(sk3))) = growth_rate(first_movers, sk4(sk2(sk3))))),
% 0.20/0.50 inference(symmetry,[status(thm)],[323])).
% 0.20/0.50 tff(325,plain,
% 0.20/0.50 (^[B: $i, A: $i, C: $i] : refl((decreases(B) | increases(B) | (~constant(A)) | (~(A = sum(B, C))) | constant(C)) <=> (decreases(B) | increases(B) | (~constant(A)) | (~(A = sum(B, C))) | constant(C)))),
% 0.20/0.50 inference(bind,[status(th)],[])).
% 0.20/0.50 tff(326,plain,
% 0.20/0.50 (![B: $i, A: $i, C: $i] : (decreases(B) | increases(B) | (~constant(A)) | (~(A = sum(B, C))) | constant(C)) <=> ![B: $i, A: $i, C: $i] : (decreases(B) | increases(B) | (~constant(A)) | (~(A = sum(B, C))) | constant(C))),
% 0.20/0.50 inference(quant_intro,[status(thm)],[325])).
% 0.20/0.50 tff(327,plain,
% 0.20/0.50 (![B: $i, A: $i, C: $i] : (decreases(B) | increases(B) | (~constant(A)) | (~(A = sum(B, C))) | constant(C)) <=> ![B: $i, A: $i, C: $i] : (decreases(B) | increases(B) | (~constant(A)) | (~(A = sum(B, C))) | constant(C))),
% 0.20/0.50 inference(rewrite,[status(thm)],[])).
% 0.20/0.50 tff(328,plain,
% 0.20/0.50 (^[B: $i, A: $i, C: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~(A = sum(B, C))) | (~constant(A))) <=> ((~constant(A)) | (~(A = sum(B, C))))), ((((~(A = sum(B, C))) | (~constant(A))) | constant(C)) <=> (((~constant(A)) | (~(A = sum(B, C)))) | constant(C)))), rewrite((((~constant(A)) | (~(A = sum(B, C)))) | constant(C)) <=> ((~constant(A)) | (~(A = sum(B, C))) | constant(C))), ((((~(A = sum(B, C))) | (~constant(A))) | constant(C)) <=> ((~constant(A)) | (~(A = sum(B, C))) | constant(C)))), (((((~(A = sum(B, C))) | (~constant(A))) | constant(C)) | increases(B)) <=> (((~constant(A)) | (~(A = sum(B, C))) | constant(C)) | increases(B)))), rewrite((((~constant(A)) | (~(A = sum(B, C))) | constant(C)) | increases(B)) <=> (increases(B) | (~constant(A)) | (~(A = sum(B, C))) | constant(C))), (((((~(A = sum(B, C))) | (~constant(A))) | constant(C)) | increases(B)) <=> (increases(B) | (~constant(A)) | (~(A = sum(B, C))) | constant(C)))), ((((((~(A = sum(B, C))) | (~constant(A))) | constant(C)) | increases(B)) | decreases(B)) <=> ((increases(B) | (~constant(A)) | (~(A = sum(B, C))) | constant(C)) | decreases(B)))), rewrite(((increases(B) | (~constant(A)) | (~(A = sum(B, C))) | constant(C)) | decreases(B)) <=> (decreases(B) | increases(B) | (~constant(A)) | (~(A = sum(B, C))) | constant(C))), ((((((~(A = sum(B, C))) | (~constant(A))) | constant(C)) | increases(B)) | decreases(B)) <=> (decreases(B) | increases(B) | (~constant(A)) | (~(A = sum(B, C))) | constant(C))))),
% 0.20/0.50 inference(bind,[status(th)],[])).
% 0.20/0.50 tff(329,plain,
% 0.20/0.50 (![B: $i, A: $i, C: $i] : (((((~(A = sum(B, C))) | (~constant(A))) | constant(C)) | increases(B)) | decreases(B)) <=> ![B: $i, A: $i, C: $i] : (decreases(B) | increases(B) | (~constant(A)) | (~(A = sum(B, C))) | constant(C))),
% 0.20/0.50 inference(quant_intro,[status(thm)],[328])).
% 0.20/0.50 tff(330,axiom,(![B: $i, A: $i, C: $i] : (((((~(A = sum(B, C))) | (~constant(A))) | constant(C)) | increases(B)) | decreases(B))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','mp_abc_sum_increase_47')).
% 0.20/0.50 tff(331,plain,
% 0.20/0.50 (![B: $i, A: $i, C: $i] : (decreases(B) | increases(B) | (~constant(A)) | (~(A = sum(B, C))) | constant(C))),
% 0.20/0.50 inference(modus_ponens,[status(thm)],[330, 329])).
% 0.20/0.50 tff(332,plain,
% 0.20/0.50 (![B: $i, A: $i, C: $i] : (decreases(B) | increases(B) | (~constant(A)) | (~(A = sum(B, C))) | constant(C))),
% 0.20/0.50 inference(modus_ponens,[status(thm)],[331, 327])).
% 0.20/0.50 tff(333,plain,(
% 0.20/0.50 ![B: $i, A: $i, C: $i] : (decreases(B) | increases(B) | (~constant(A)) | (~(A = sum(B, C))) | constant(C))),
% 0.20/0.50 inference(skolemize,[status(sab)],[332])).
% 0.20/0.50 tff(334,plain,
% 0.20/0.50 (![B: $i, A: $i, C: $i] : (decreases(B) | increases(B) | (~constant(A)) | (~(A = sum(B, C))) | constant(C))),
% 0.20/0.50 inference(modus_ponens,[status(thm)],[333, 326])).
% 0.20/0.50 tff(335,plain,
% 0.20/0.50 (((~![B: $i, A: $i, C: $i] : (decreases(B) | increases(B) | (~constant(A)) | (~(A = sum(B, C))) | constant(C))) | (constant(cardinality_at_time(efficient_producers, sk4(sk2(sk3)))) | decreases(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | increases(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3)))))))) <=> ((~![B: $i, A: $i, C: $i] : (decreases(B) | increases(B) | (~constant(A)) | (~(A = sum(B, C))) | constant(C))) | constant(cardinality_at_time(efficient_producers, sk4(sk2(sk3)))) | decreases(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | increases(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3)))))))),
% 0.20/0.50 inference(rewrite,[status(thm)],[])).
% 0.20/0.50 tff(336,plain,
% 0.20/0.50 ((decreases(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | increases(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3)))))) | $false | constant(cardinality_at_time(efficient_producers, sk4(sk2(sk3))))) <=> (constant(cardinality_at_time(efficient_producers, sk4(sk2(sk3)))) | decreases(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | increases(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3)))))))),
% 0.20/0.50 inference(rewrite,[status(thm)],[])).
% 0.20/0.50 tff(337,plain,
% 0.20/0.50 ((decreases(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | increases(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3)))))) | (~(sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3)))) = sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3)))))) | constant(cardinality_at_time(efficient_producers, sk4(sk2(sk3))))) <=> (decreases(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | increases(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3)))))) | $false | constant(cardinality_at_time(efficient_producers, sk4(sk2(sk3)))))),
% 0.20/0.50 inference(monotonicity,[status(thm)],[265])).
% 0.20/0.50 tff(338,plain,
% 0.20/0.50 ((decreases(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | increases(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3)))))) | (~(sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3)))) = sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3)))))) | constant(cardinality_at_time(efficient_producers, sk4(sk2(sk3))))) <=> (constant(cardinality_at_time(efficient_producers, sk4(sk2(sk3)))) | decreases(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | increases(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3)))))))),
% 0.20/0.51 inference(transitivity,[status(thm)],[337, 336])).
% 0.20/0.51 tff(339,plain,
% 0.20/0.51 (((~![B: $i, A: $i, C: $i] : (decreases(B) | increases(B) | (~constant(A)) | (~(A = sum(B, C))) | constant(C))) | (decreases(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | increases(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3)))))) | (~(sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3)))) = sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3)))))) | constant(cardinality_at_time(efficient_producers, sk4(sk2(sk3)))))) <=> ((~![B: $i, A: $i, C: $i] : (decreases(B) | increases(B) | (~constant(A)) | (~(A = sum(B, C))) | constant(C))) | (constant(cardinality_at_time(efficient_producers, sk4(sk2(sk3)))) | decreases(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | increases(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3))))))))),
% 0.20/0.51 inference(monotonicity,[status(thm)],[338])).
% 0.20/0.51 tff(340,plain,
% 0.20/0.51 (((~![B: $i, A: $i, C: $i] : (decreases(B) | increases(B) | (~constant(A)) | (~(A = sum(B, C))) | constant(C))) | (decreases(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | increases(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3)))))) | (~(sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3)))) = sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3)))))) | constant(cardinality_at_time(efficient_producers, sk4(sk2(sk3)))))) <=> ((~![B: $i, A: $i, C: $i] : (decreases(B) | increases(B) | (~constant(A)) | (~(A = sum(B, C))) | constant(C))) | constant(cardinality_at_time(efficient_producers, sk4(sk2(sk3)))) | decreases(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | increases(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3)))))))),
% 0.20/0.51 inference(transitivity,[status(thm)],[339, 335])).
% 0.20/0.51 tff(341,plain,
% 0.20/0.51 ((~![B: $i, A: $i, C: $i] : (decreases(B) | increases(B) | (~constant(A)) | (~(A = sum(B, C))) | constant(C))) | (decreases(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | increases(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3)))))) | (~(sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3)))) = sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3)))))) | constant(cardinality_at_time(efficient_producers, sk4(sk2(sk3)))))),
% 0.20/0.51 inference(quant_inst,[status(thm)],[])).
% 0.20/0.51 tff(342,plain,
% 0.20/0.51 ((~![B: $i, A: $i, C: $i] : (decreases(B) | increases(B) | (~constant(A)) | (~(A = sum(B, C))) | constant(C))) | constant(cardinality_at_time(efficient_producers, sk4(sk2(sk3)))) | decreases(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | increases(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3))))))),
% 0.20/0.51 inference(modus_ponens,[status(thm)],[341, 340])).
% 0.20/0.51 tff(343,plain,
% 0.20/0.51 (constant(cardinality_at_time(efficient_producers, sk4(sk2(sk3)))) | decreases(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | increases(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3))))))),
% 0.20/0.51 inference(unit_resolution,[status(thm)],[342, 334])).
% 0.20/0.51 tff(344,plain,
% 0.20/0.51 (constant(cardinality_at_time(efficient_producers, sk4(sk2(sk3))))),
% 0.20/0.51 inference(unit_resolution,[status(thm)],[343, 250, 249, 248])).
% 0.20/0.51 tff(345,plain,
% 0.20/0.51 (^[B: $i, A: $i] : refl(((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(cardinality_at_time(efficient_producers, B), zero)) <=> ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(cardinality_at_time(efficient_producers, B), zero)))),
% 0.20/0.51 inference(bind,[status(th)],[])).
% 0.20/0.51 tff(346,plain,
% 0.20/0.51 (![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(cardinality_at_time(efficient_producers, B), zero)) <=> ![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(cardinality_at_time(efficient_producers, B), zero))),
% 0.20/0.51 inference(quant_intro,[status(thm)],[345])).
% 0.20/0.51 tff(347,plain,
% 0.20/0.51 (![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(cardinality_at_time(efficient_producers, B), zero)) <=> ![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(cardinality_at_time(efficient_producers, B), zero))),
% 0.20/0.51 inference(rewrite,[status(thm)],[])).
% 0.20/0.51 tff(348,plain,
% 0.20/0.51 (^[B: $i, A: $i] : rewrite((((~environment(A)) | (~subpopulations(first_movers, efficient_producers, A, B))) | greater(cardinality_at_time(efficient_producers, B), zero)) <=> ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(cardinality_at_time(efficient_producers, B), zero)))),
% 0.20/0.51 inference(bind,[status(th)],[])).
% 0.20/0.51 tff(349,plain,
% 0.20/0.51 (![B: $i, A: $i] : (((~environment(A)) | (~subpopulations(first_movers, efficient_producers, A, B))) | greater(cardinality_at_time(efficient_producers, B), zero)) <=> ![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(cardinality_at_time(efficient_producers, B), zero))),
% 0.20/0.51 inference(quant_intro,[status(thm)],[348])).
% 0.20/0.51 tff(350,axiom,(![B: $i, A: $i] : (((~environment(A)) | (~subpopulations(first_movers, efficient_producers, A, B))) | greater(cardinality_at_time(efficient_producers, B), zero))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','mp_positive_number_of_organizations_55')).
% 0.20/0.51 tff(351,plain,
% 0.20/0.51 (![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(cardinality_at_time(efficient_producers, B), zero))),
% 0.20/0.51 inference(modus_ponens,[status(thm)],[350, 349])).
% 0.20/0.51 tff(352,plain,
% 0.20/0.51 (![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(cardinality_at_time(efficient_producers, B), zero))),
% 0.20/0.51 inference(modus_ponens,[status(thm)],[351, 347])).
% 0.20/0.51 tff(353,plain,(
% 0.20/0.51 ![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(cardinality_at_time(efficient_producers, B), zero))),
% 0.20/0.51 inference(skolemize,[status(sab)],[352])).
% 0.20/0.51 tff(354,plain,
% 0.20/0.51 (![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(cardinality_at_time(efficient_producers, B), zero))),
% 0.20/0.51 inference(modus_ponens,[status(thm)],[353, 346])).
% 0.20/0.51 tff(355,plain,
% 0.20/0.51 (((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(cardinality_at_time(efficient_producers, B), zero))) | ((~environment(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk2(sk3)))) | greater(cardinality_at_time(efficient_producers, sk4(sk2(sk3))), zero))) <=> ((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(cardinality_at_time(efficient_producers, B), zero))) | (~environment(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk2(sk3)))) | greater(cardinality_at_time(efficient_producers, sk4(sk2(sk3))), zero))),
% 0.20/0.51 inference(rewrite,[status(thm)],[])).
% 0.20/0.51 tff(356,plain,
% 0.20/0.51 (((~subpopulations(first_movers, efficient_producers, sk3, sk4(sk2(sk3)))) | (~environment(sk3)) | greater(cardinality_at_time(efficient_producers, sk4(sk2(sk3))), zero)) <=> ((~environment(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk2(sk3)))) | greater(cardinality_at_time(efficient_producers, sk4(sk2(sk3))), zero))),
% 0.20/0.51 inference(rewrite,[status(thm)],[])).
% 0.20/0.51 tff(357,plain,
% 0.20/0.51 (((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(cardinality_at_time(efficient_producers, B), zero))) | ((~subpopulations(first_movers, efficient_producers, sk3, sk4(sk2(sk3)))) | (~environment(sk3)) | greater(cardinality_at_time(efficient_producers, sk4(sk2(sk3))), zero))) <=> ((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(cardinality_at_time(efficient_producers, B), zero))) | ((~environment(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk2(sk3)))) | greater(cardinality_at_time(efficient_producers, sk4(sk2(sk3))), zero)))),
% 0.20/0.51 inference(monotonicity,[status(thm)],[356])).
% 0.20/0.51 tff(358,plain,
% 0.20/0.51 (((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(cardinality_at_time(efficient_producers, B), zero))) | ((~subpopulations(first_movers, efficient_producers, sk3, sk4(sk2(sk3)))) | (~environment(sk3)) | greater(cardinality_at_time(efficient_producers, sk4(sk2(sk3))), zero))) <=> ((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(cardinality_at_time(efficient_producers, B), zero))) | (~environment(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk2(sk3)))) | greater(cardinality_at_time(efficient_producers, sk4(sk2(sk3))), zero))),
% 0.20/0.51 inference(transitivity,[status(thm)],[357, 355])).
% 0.20/0.51 tff(359,plain,
% 0.20/0.51 ((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(cardinality_at_time(efficient_producers, B), zero))) | ((~subpopulations(first_movers, efficient_producers, sk3, sk4(sk2(sk3)))) | (~environment(sk3)) | greater(cardinality_at_time(efficient_producers, sk4(sk2(sk3))), zero))),
% 0.20/0.51 inference(quant_inst,[status(thm)],[])).
% 0.20/0.51 tff(360,plain,
% 0.20/0.51 ((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(cardinality_at_time(efficient_producers, B), zero))) | (~environment(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk2(sk3)))) | greater(cardinality_at_time(efficient_producers, sk4(sk2(sk3))), zero)),
% 0.20/0.51 inference(modus_ponens,[status(thm)],[359, 358])).
% 0.20/0.51 tff(361,plain,
% 0.20/0.51 (greater(cardinality_at_time(efficient_producers, sk4(sk2(sk3))), zero)),
% 0.20/0.51 inference(unit_resolution,[status(thm)],[360, 354, 32, 200])).
% 0.20/0.51 tff(362,plain,
% 0.20/0.51 (((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (growth_rate(C, B) = zero) | (~constant(cardinality_at_time(C, B))) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)))) | ((~environment(sk3)) | (~greater(cardinality_at_time(efficient_producers, sk4(sk2(sk3))), zero)) | (~in_environment(sk3, sk4(sk2(sk3)))) | (~subpopulation(efficient_producers, sk3, sk4(sk2(sk3)))) | (growth_rate(efficient_producers, sk4(sk2(sk3))) = zero) | (~constant(cardinality_at_time(efficient_producers, sk4(sk2(sk3))))))) <=> ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (growth_rate(C, B) = zero) | (~constant(cardinality_at_time(C, B))) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)))) | (~environment(sk3)) | (~greater(cardinality_at_time(efficient_producers, sk4(sk2(sk3))), zero)) | (~in_environment(sk3, sk4(sk2(sk3)))) | (~subpopulation(efficient_producers, sk3, sk4(sk2(sk3)))) | (growth_rate(efficient_producers, sk4(sk2(sk3))) = zero) | (~constant(cardinality_at_time(efficient_producers, sk4(sk2(sk3))))))),
% 0.20/0.51 inference(rewrite,[status(thm)],[])).
% 0.20/0.51 tff(363,plain,
% 0.20/0.51 (((~environment(sk3)) | (growth_rate(efficient_producers, sk4(sk2(sk3))) = zero) | (~constant(cardinality_at_time(efficient_producers, sk4(sk2(sk3))))) | (~greater(cardinality_at_time(efficient_producers, sk4(sk2(sk3))), zero)) | (~subpopulation(efficient_producers, sk3, sk4(sk2(sk3)))) | (~in_environment(sk3, sk4(sk2(sk3))))) <=> ((~environment(sk3)) | (~greater(cardinality_at_time(efficient_producers, sk4(sk2(sk3))), zero)) | (~in_environment(sk3, sk4(sk2(sk3)))) | (~subpopulation(efficient_producers, sk3, sk4(sk2(sk3)))) | (growth_rate(efficient_producers, sk4(sk2(sk3))) = zero) | (~constant(cardinality_at_time(efficient_producers, sk4(sk2(sk3))))))),
% 0.20/0.51 inference(rewrite,[status(thm)],[])).
% 0.20/0.51 tff(364,plain,
% 0.20/0.51 (((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (growth_rate(C, B) = zero) | (~constant(cardinality_at_time(C, B))) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)))) | ((~environment(sk3)) | (growth_rate(efficient_producers, sk4(sk2(sk3))) = zero) | (~constant(cardinality_at_time(efficient_producers, sk4(sk2(sk3))))) | (~greater(cardinality_at_time(efficient_producers, sk4(sk2(sk3))), zero)) | (~subpopulation(efficient_producers, sk3, sk4(sk2(sk3)))) | (~in_environment(sk3, sk4(sk2(sk3)))))) <=> ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (growth_rate(C, B) = zero) | (~constant(cardinality_at_time(C, B))) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)))) | ((~environment(sk3)) | (~greater(cardinality_at_time(efficient_producers, sk4(sk2(sk3))), zero)) | (~in_environment(sk3, sk4(sk2(sk3)))) | (~subpopulation(efficient_producers, sk3, sk4(sk2(sk3)))) | (growth_rate(efficient_producers, sk4(sk2(sk3))) = zero) | (~constant(cardinality_at_time(efficient_producers, sk4(sk2(sk3)))))))),
% 0.20/0.51 inference(monotonicity,[status(thm)],[363])).
% 0.20/0.51 tff(365,plain,
% 0.20/0.51 (((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (growth_rate(C, B) = zero) | (~constant(cardinality_at_time(C, B))) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)))) | ((~environment(sk3)) | (growth_rate(efficient_producers, sk4(sk2(sk3))) = zero) | (~constant(cardinality_at_time(efficient_producers, sk4(sk2(sk3))))) | (~greater(cardinality_at_time(efficient_producers, sk4(sk2(sk3))), zero)) | (~subpopulation(efficient_producers, sk3, sk4(sk2(sk3)))) | (~in_environment(sk3, sk4(sk2(sk3)))))) <=> ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (growth_rate(C, B) = zero) | (~constant(cardinality_at_time(C, B))) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)))) | (~environment(sk3)) | (~greater(cardinality_at_time(efficient_producers, sk4(sk2(sk3))), zero)) | (~in_environment(sk3, sk4(sk2(sk3)))) | (~subpopulation(efficient_producers, sk3, sk4(sk2(sk3)))) | (growth_rate(efficient_producers, sk4(sk2(sk3))) = zero) | (~constant(cardinality_at_time(efficient_producers, sk4(sk2(sk3))))))),
% 0.20/0.51 inference(transitivity,[status(thm)],[364, 362])).
% 0.20/0.51 tff(366,plain,
% 0.20/0.51 ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (growth_rate(C, B) = zero) | (~constant(cardinality_at_time(C, B))) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)))) | ((~environment(sk3)) | (growth_rate(efficient_producers, sk4(sk2(sk3))) = zero) | (~constant(cardinality_at_time(efficient_producers, sk4(sk2(sk3))))) | (~greater(cardinality_at_time(efficient_producers, sk4(sk2(sk3))), zero)) | (~subpopulation(efficient_producers, sk3, sk4(sk2(sk3)))) | (~in_environment(sk3, sk4(sk2(sk3)))))),
% 0.20/0.51 inference(quant_inst,[status(thm)],[])).
% 0.20/0.51 tff(367,plain,
% 0.20/0.51 ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (growth_rate(C, B) = zero) | (~constant(cardinality_at_time(C, B))) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)))) | (~environment(sk3)) | (~greater(cardinality_at_time(efficient_producers, sk4(sk2(sk3))), zero)) | (~in_environment(sk3, sk4(sk2(sk3)))) | (~subpopulation(efficient_producers, sk3, sk4(sk2(sk3)))) | (growth_rate(efficient_producers, sk4(sk2(sk3))) = zero) | (~constant(cardinality_at_time(efficient_producers, sk4(sk2(sk3)))))),
% 0.20/0.51 inference(modus_ponens,[status(thm)],[366, 365])).
% 0.20/0.51 tff(368,plain,
% 0.20/0.51 ((growth_rate(efficient_producers, sk4(sk2(sk3))) = zero) | (~constant(cardinality_at_time(efficient_producers, sk4(sk2(sk3)))))),
% 0.20/0.51 inference(unit_resolution,[status(thm)],[367, 314, 32, 361, 207, 221])).
% 0.20/0.51 tff(369,plain,
% 0.20/0.51 (growth_rate(efficient_producers, sk4(sk2(sk3))) = zero),
% 0.20/0.51 inference(unit_resolution,[status(thm)],[368, 344])).
% 0.20/0.51 tff(370,plain,
% 0.20/0.51 (growth_rate(efficient_producers, sk4(sk2(sk3))) = growth_rate(first_movers, sk4(sk2(sk3)))),
% 0.20/0.51 inference(modus_ponens,[status(thm)],[369, 324])).
% 0.20/0.51 tff(371,plain,
% 0.20/0.51 (((~![A: $i] : ((~in_environment(sk3, A)) | greater_or_equal(sk4(A), A))) | ((~in_environment(sk3, sk2(sk3))) | greater_or_equal(sk4(sk2(sk3)), sk2(sk3)))) <=> ((~![A: $i] : ((~in_environment(sk3, A)) | greater_or_equal(sk4(A), A))) | (~in_environment(sk3, sk2(sk3))) | greater_or_equal(sk4(sk2(sk3)), sk2(sk3)))),
% 0.20/0.51 inference(rewrite,[status(thm)],[])).
% 0.20/0.51 tff(372,plain,
% 0.20/0.51 ((~![A: $i] : ((~in_environment(sk3, A)) | greater_or_equal(sk4(A), A))) | ((~in_environment(sk3, sk2(sk3))) | greater_or_equal(sk4(sk2(sk3)), sk2(sk3)))),
% 0.20/0.51 inference(quant_inst,[status(thm)],[])).
% 0.20/0.51 tff(373,plain,
% 0.20/0.51 ((~![A: $i] : ((~in_environment(sk3, A)) | greater_or_equal(sk4(A), A))) | (~in_environment(sk3, sk2(sk3))) | greater_or_equal(sk4(sk2(sk3)), sk2(sk3))),
% 0.20/0.51 inference(modus_ponens,[status(thm)],[372, 371])).
% 0.20/0.51 tff(374,plain,
% 0.20/0.51 (greater_or_equal(sk4(sk2(sk3)), sk2(sk3))),
% 0.20/0.51 inference(unit_resolution,[status(thm)],[373, 139, 196])).
% 0.20/0.51 tff(375,plain,
% 0.20/0.51 (^[B: $i, A: $i] : refl(((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (~stable(A)) | greater(growth_rate(efficient_producers, B), growth_rate(first_movers, B)) | (~greater_or_equal(B, sk2(A)))) <=> ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (~stable(A)) | greater(growth_rate(efficient_producers, B), growth_rate(first_movers, B)) | (~greater_or_equal(B, sk2(A)))))),
% 0.20/0.51 inference(bind,[status(th)],[])).
% 0.20/0.51 tff(376,plain,
% 0.20/0.51 (![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (~stable(A)) | greater(growth_rate(efficient_producers, B), growth_rate(first_movers, B)) | (~greater_or_equal(B, sk2(A)))) <=> ![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (~stable(A)) | greater(growth_rate(efficient_producers, B), growth_rate(first_movers, B)) | (~greater_or_equal(B, sk2(A))))),
% 0.20/0.51 inference(quant_intro,[status(thm)],[375])).
% 0.20/0.51 tff(377,plain,
% 0.20/0.51 (![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (~stable(A)) | greater(growth_rate(efficient_producers, B), growth_rate(first_movers, B)) | (~greater_or_equal(B, sk2(A)))) <=> ![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (~stable(A)) | greater(growth_rate(efficient_producers, B), growth_rate(first_movers, B)) | (~greater_or_equal(B, sk2(A))))),
% 0.20/0.51 inference(rewrite,[status(thm)],[])).
% 0.20/0.51 tff(378,plain,
% 0.20/0.51 (^[B: $i, A: $i] : trans(monotonicity(trans(monotonicity(rewrite((((~environment(A)) | (~stable(A))) | (~subpopulations(first_movers, efficient_producers, A, B))) <=> ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (~stable(A)))), (((((~environment(A)) | (~stable(A))) | (~subpopulations(first_movers, efficient_producers, A, B))) | (~greater_or_equal(B, sk2(A)))) <=> (((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (~stable(A))) | (~greater_or_equal(B, sk2(A)))))), rewrite((((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (~stable(A))) | (~greater_or_equal(B, sk2(A)))) <=> ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (~stable(A)) | (~greater_or_equal(B, sk2(A))))), (((((~environment(A)) | (~stable(A))) | (~subpopulations(first_movers, efficient_producers, A, B))) | (~greater_or_equal(B, sk2(A)))) <=> ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (~stable(A)) | (~greater_or_equal(B, sk2(A)))))), ((((((~environment(A)) | (~stable(A))) | (~subpopulations(first_movers, efficient_producers, A, B))) | (~greater_or_equal(B, sk2(A)))) | greater(growth_rate(efficient_producers, B), growth_rate(first_movers, B))) <=> (((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (~stable(A)) | (~greater_or_equal(B, sk2(A)))) | greater(growth_rate(efficient_producers, B), growth_rate(first_movers, B))))), rewrite((((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (~stable(A)) | (~greater_or_equal(B, sk2(A)))) | greater(growth_rate(efficient_producers, B), growth_rate(first_movers, B))) <=> ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (~stable(A)) | greater(growth_rate(efficient_producers, B), growth_rate(first_movers, B)) | (~greater_or_equal(B, sk2(A))))), ((((((~environment(A)) | (~stable(A))) | (~subpopulations(first_movers, efficient_producers, A, B))) | (~greater_or_equal(B, sk2(A)))) | greater(growth_rate(efficient_producers, B), growth_rate(first_movers, B))) <=> ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (~stable(A)) | greater(growth_rate(efficient_producers, B), growth_rate(first_movers, B)) | (~greater_or_equal(B, sk2(A))))))),
% 0.20/0.51 inference(bind,[status(th)],[])).
% 0.20/0.51 tff(379,plain,
% 0.20/0.51 (![B: $i, A: $i] : (((((~environment(A)) | (~stable(A))) | (~subpopulations(first_movers, efficient_producers, A, B))) | (~greater_or_equal(B, sk2(A)))) | greater(growth_rate(efficient_producers, B), growth_rate(first_movers, B))) <=> ![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (~stable(A)) | greater(growth_rate(efficient_producers, B), growth_rate(first_movers, B)) | (~greater_or_equal(B, sk2(A))))),
% 0.20/0.51 inference(quant_intro,[status(thm)],[378])).
% 0.20/0.51 tff(380,axiom,(![B: $i, A: $i] : (((((~environment(A)) | (~stable(A))) | (~subpopulations(first_movers, efficient_producers, A, B))) | (~greater_or_equal(B, sk2(A)))) | greater(growth_rate(efficient_producers, B), growth_rate(first_movers, B)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','l1_75')).
% 0.20/0.51 tff(381,plain,
% 0.20/0.51 (![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (~stable(A)) | greater(growth_rate(efficient_producers, B), growth_rate(first_movers, B)) | (~greater_or_equal(B, sk2(A))))),
% 0.20/0.51 inference(modus_ponens,[status(thm)],[380, 379])).
% 0.20/0.51 tff(382,plain,
% 0.20/0.51 (![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (~stable(A)) | greater(growth_rate(efficient_producers, B), growth_rate(first_movers, B)) | (~greater_or_equal(B, sk2(A))))),
% 0.20/0.51 inference(modus_ponens,[status(thm)],[381, 377])).
% 0.20/0.51 tff(383,plain,(
% 0.20/0.51 ![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (~stable(A)) | greater(growth_rate(efficient_producers, B), growth_rate(first_movers, B)) | (~greater_or_equal(B, sk2(A))))),
% 0.20/0.51 inference(skolemize,[status(sab)],[382])).
% 0.20/0.51 tff(384,plain,
% 0.20/0.51 (![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (~stable(A)) | greater(growth_rate(efficient_producers, B), growth_rate(first_movers, B)) | (~greater_or_equal(B, sk2(A))))),
% 0.20/0.51 inference(modus_ponens,[status(thm)],[383, 376])).
% 0.20/0.51 tff(385,plain,
% 0.20/0.51 (((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (~stable(A)) | greater(growth_rate(efficient_producers, B), growth_rate(first_movers, B)) | (~greater_or_equal(B, sk2(A))))) | ((~environment(sk3)) | (~stable(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk2(sk3)))) | greater(growth_rate(efficient_producers, sk4(sk2(sk3))), growth_rate(first_movers, sk4(sk2(sk3)))) | (~greater_or_equal(sk4(sk2(sk3)), sk2(sk3))))) <=> ((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (~stable(A)) | greater(growth_rate(efficient_producers, B), growth_rate(first_movers, B)) | (~greater_or_equal(B, sk2(A))))) | (~environment(sk3)) | (~stable(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk2(sk3)))) | greater(growth_rate(efficient_producers, sk4(sk2(sk3))), growth_rate(first_movers, sk4(sk2(sk3)))) | (~greater_or_equal(sk4(sk2(sk3)), sk2(sk3))))),
% 0.20/0.51 inference(rewrite,[status(thm)],[])).
% 0.20/0.51 tff(386,plain,
% 0.20/0.51 (((~subpopulations(first_movers, efficient_producers, sk3, sk4(sk2(sk3)))) | (~environment(sk3)) | (~stable(sk3)) | greater(growth_rate(efficient_producers, sk4(sk2(sk3))), growth_rate(first_movers, sk4(sk2(sk3)))) | (~greater_or_equal(sk4(sk2(sk3)), sk2(sk3)))) <=> ((~environment(sk3)) | (~stable(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk2(sk3)))) | greater(growth_rate(efficient_producers, sk4(sk2(sk3))), growth_rate(first_movers, sk4(sk2(sk3)))) | (~greater_or_equal(sk4(sk2(sk3)), sk2(sk3))))),
% 0.20/0.51 inference(rewrite,[status(thm)],[])).
% 0.20/0.51 tff(387,plain,
% 0.20/0.51 (((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (~stable(A)) | greater(growth_rate(efficient_producers, B), growth_rate(first_movers, B)) | (~greater_or_equal(B, sk2(A))))) | ((~subpopulations(first_movers, efficient_producers, sk3, sk4(sk2(sk3)))) | (~environment(sk3)) | (~stable(sk3)) | greater(growth_rate(efficient_producers, sk4(sk2(sk3))), growth_rate(first_movers, sk4(sk2(sk3)))) | (~greater_or_equal(sk4(sk2(sk3)), sk2(sk3))))) <=> ((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (~stable(A)) | greater(growth_rate(efficient_producers, B), growth_rate(first_movers, B)) | (~greater_or_equal(B, sk2(A))))) | ((~environment(sk3)) | (~stable(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk2(sk3)))) | greater(growth_rate(efficient_producers, sk4(sk2(sk3))), growth_rate(first_movers, sk4(sk2(sk3)))) | (~greater_or_equal(sk4(sk2(sk3)), sk2(sk3)))))),
% 0.20/0.51 inference(monotonicity,[status(thm)],[386])).
% 0.20/0.51 tff(388,plain,
% 0.20/0.51 (((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (~stable(A)) | greater(growth_rate(efficient_producers, B), growth_rate(first_movers, B)) | (~greater_or_equal(B, sk2(A))))) | ((~subpopulations(first_movers, efficient_producers, sk3, sk4(sk2(sk3)))) | (~environment(sk3)) | (~stable(sk3)) | greater(growth_rate(efficient_producers, sk4(sk2(sk3))), growth_rate(first_movers, sk4(sk2(sk3)))) | (~greater_or_equal(sk4(sk2(sk3)), sk2(sk3))))) <=> ((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (~stable(A)) | greater(growth_rate(efficient_producers, B), growth_rate(first_movers, B)) | (~greater_or_equal(B, sk2(A))))) | (~environment(sk3)) | (~stable(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk2(sk3)))) | greater(growth_rate(efficient_producers, sk4(sk2(sk3))), growth_rate(first_movers, sk4(sk2(sk3)))) | (~greater_or_equal(sk4(sk2(sk3)), sk2(sk3))))),
% 0.20/0.51 inference(transitivity,[status(thm)],[387, 385])).
% 0.20/0.51 tff(389,plain,
% 0.20/0.51 ((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (~stable(A)) | greater(growth_rate(efficient_producers, B), growth_rate(first_movers, B)) | (~greater_or_equal(B, sk2(A))))) | ((~subpopulations(first_movers, efficient_producers, sk3, sk4(sk2(sk3)))) | (~environment(sk3)) | (~stable(sk3)) | greater(growth_rate(efficient_producers, sk4(sk2(sk3))), growth_rate(first_movers, sk4(sk2(sk3)))) | (~greater_or_equal(sk4(sk2(sk3)), sk2(sk3))))),
% 0.20/0.51 inference(quant_inst,[status(thm)],[])).
% 0.20/0.51 tff(390,plain,
% 0.20/0.51 ((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (~stable(A)) | greater(growth_rate(efficient_producers, B), growth_rate(first_movers, B)) | (~greater_or_equal(B, sk2(A))))) | (~environment(sk3)) | (~stable(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk2(sk3)))) | greater(growth_rate(efficient_producers, sk4(sk2(sk3))), growth_rate(first_movers, sk4(sk2(sk3)))) | (~greater_or_equal(sk4(sk2(sk3)), sk2(sk3)))),
% 0.20/0.52 inference(modus_ponens,[status(thm)],[389, 388])).
% 0.20/0.52 tff(391,plain,
% 0.20/0.52 (greater(growth_rate(efficient_producers, sk4(sk2(sk3))), growth_rate(first_movers, sk4(sk2(sk3))))),
% 0.20/0.52 inference(unit_resolution,[status(thm)],[390, 384, 32, 29, 200, 374])).
% 0.20/0.52 tff(392,plain,
% 0.20/0.52 (^[B: $i, A: $i] : refl(((~(A = B)) | (~greater(A, B))) <=> ((~(A = B)) | (~greater(A, B))))),
% 0.20/0.52 inference(bind,[status(th)],[])).
% 0.20/0.52 tff(393,plain,
% 0.20/0.52 (![B: $i, A: $i] : ((~(A = B)) | (~greater(A, B))) <=> ![B: $i, A: $i] : ((~(A = B)) | (~greater(A, B)))),
% 0.20/0.52 inference(quant_intro,[status(thm)],[392])).
% 0.20/0.52 tff(394,plain,
% 0.20/0.52 (![B: $i, A: $i] : ((~(A = B)) | (~greater(A, B))) <=> ![B: $i, A: $i] : ((~(A = B)) | (~greater(A, B)))),
% 0.20/0.52 inference(rewrite,[status(thm)],[])).
% 0.20/0.52 tff(395,plain,
% 0.20/0.52 (^[B: $i, A: $i] : rewrite(((~greater(A, B)) | (~(A = B))) <=> ((~(A = B)) | (~greater(A, B))))),
% 0.20/0.52 inference(bind,[status(th)],[])).
% 0.20/0.52 tff(396,plain,
% 0.20/0.52 (![B: $i, A: $i] : ((~greater(A, B)) | (~(A = B))) <=> ![B: $i, A: $i] : ((~(A = B)) | (~greater(A, B)))),
% 0.20/0.52 inference(quant_intro,[status(thm)],[395])).
% 0.20/0.52 tff(397,axiom,(![B: $i, A: $i] : ((~greater(A, B)) | (~(A = B)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','mp6_1_56')).
% 0.20/0.52 tff(398,plain,
% 0.20/0.52 (![B: $i, A: $i] : ((~(A = B)) | (~greater(A, B)))),
% 0.20/0.52 inference(modus_ponens,[status(thm)],[397, 396])).
% 0.20/0.52 tff(399,plain,
% 0.20/0.52 (![B: $i, A: $i] : ((~(A = B)) | (~greater(A, B)))),
% 0.20/0.52 inference(modus_ponens,[status(thm)],[398, 394])).
% 0.20/0.52 tff(400,plain,(
% 0.20/0.52 ![B: $i, A: $i] : ((~(A = B)) | (~greater(A, B)))),
% 0.20/0.52 inference(skolemize,[status(sab)],[399])).
% 0.20/0.52 tff(401,plain,
% 0.20/0.52 (![B: $i, A: $i] : ((~(A = B)) | (~greater(A, B)))),
% 0.20/0.52 inference(modus_ponens,[status(thm)],[400, 393])).
% 0.20/0.52 tff(402,plain,
% 0.20/0.52 (((~![B: $i, A: $i] : ((~(A = B)) | (~greater(A, B)))) | ((~(growth_rate(efficient_producers, sk4(sk2(sk3))) = growth_rate(first_movers, sk4(sk2(sk3))))) | (~greater(growth_rate(efficient_producers, sk4(sk2(sk3))), growth_rate(first_movers, sk4(sk2(sk3))))))) <=> ((~![B: $i, A: $i] : ((~(A = B)) | (~greater(A, B)))) | (~(growth_rate(efficient_producers, sk4(sk2(sk3))) = growth_rate(first_movers, sk4(sk2(sk3))))) | (~greater(growth_rate(efficient_producers, sk4(sk2(sk3))), growth_rate(first_movers, sk4(sk2(sk3))))))),
% 0.20/0.52 inference(rewrite,[status(thm)],[])).
% 0.20/0.52 tff(403,plain,
% 0.20/0.52 ((~![B: $i, A: $i] : ((~(A = B)) | (~greater(A, B)))) | ((~(growth_rate(efficient_producers, sk4(sk2(sk3))) = growth_rate(first_movers, sk4(sk2(sk3))))) | (~greater(growth_rate(efficient_producers, sk4(sk2(sk3))), growth_rate(first_movers, sk4(sk2(sk3))))))),
% 0.20/0.52 inference(quant_inst,[status(thm)],[])).
% 0.20/0.52 tff(404,plain,
% 0.20/0.52 ((~![B: $i, A: $i] : ((~(A = B)) | (~greater(A, B)))) | (~(growth_rate(efficient_producers, sk4(sk2(sk3))) = growth_rate(first_movers, sk4(sk2(sk3))))) | (~greater(growth_rate(efficient_producers, sk4(sk2(sk3))), growth_rate(first_movers, sk4(sk2(sk3)))))),
% 0.20/0.52 inference(modus_ponens,[status(thm)],[403, 402])).
% 0.20/0.52 tff(405,plain,
% 0.20/0.52 (~(growth_rate(efficient_producers, sk4(sk2(sk3))) = growth_rate(first_movers, sk4(sk2(sk3))))),
% 0.20/0.52 inference(unit_resolution,[status(thm)],[404, 401, 391])).
% 0.20/0.52 tff(406,plain,
% 0.20/0.52 ($false),
% 0.20/0.52 inference(unit_resolution,[status(thm)],[405, 370])).
% 0.20/0.52 tff(407,plain,(increases(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | decreases(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3))))))), inference(lemma,lemma(discharge,[]))).
% 0.20/0.52 tff(408,plain,
% 0.20/0.52 (increases(cardinality_at_time(first_movers, sk4(sk2(sk3))))),
% 0.20/0.52 inference(unit_resolution,[status(thm)],[407, 249, 248])).
% 0.20/0.52 tff(409,plain,
% 0.20/0.52 (^[B: $i, A: $i, C: $i] : refl(((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(growth_rate(C, B), zero) | (~increases(cardinality_at_time(C, B)))) <=> ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(growth_rate(C, B), zero) | (~increases(cardinality_at_time(C, B)))))),
% 0.20/0.52 inference(bind,[status(th)],[])).
% 0.20/0.52 tff(410,plain,
% 0.20/0.52 (![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(growth_rate(C, B), zero) | (~increases(cardinality_at_time(C, B)))) <=> ![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(growth_rate(C, B), zero) | (~increases(cardinality_at_time(C, B))))),
% 0.20/0.52 inference(quant_intro,[status(thm)],[409])).
% 0.20/0.52 tff(411,plain,
% 0.20/0.52 (![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(growth_rate(C, B), zero) | (~increases(cardinality_at_time(C, B)))) <=> ![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(growth_rate(C, B), zero) | (~increases(cardinality_at_time(C, B))))),
% 0.20/0.52 inference(rewrite,[status(thm)],[])).
% 0.20/0.52 tff(412,plain,
% 0.20/0.52 (^[B: $i, A: $i, C: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~environment(A)) | (~in_environment(A, B))) | (~subpopulation(C, A, B))) <=> ((~environment(A)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)))), (((((~environment(A)) | (~in_environment(A, B))) | (~subpopulation(C, A, B))) | (~greater(cardinality_at_time(C, B), zero))) <=> (((~environment(A)) | (~subpopulation(C, A, B)) | (~in_environment(A, B))) | (~greater(cardinality_at_time(C, B), zero))))), rewrite((((~environment(A)) | (~subpopulation(C, A, B)) | (~in_environment(A, B))) | (~greater(cardinality_at_time(C, B), zero))) <=> ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)))), (((((~environment(A)) | (~in_environment(A, B))) | (~subpopulation(C, A, B))) | (~greater(cardinality_at_time(C, B), zero))) <=> ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B))))), ((((((~environment(A)) | (~in_environment(A, B))) | (~subpopulation(C, A, B))) | (~greater(cardinality_at_time(C, B), zero))) | (~increases(cardinality_at_time(C, B)))) <=> (((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B))) | (~increases(cardinality_at_time(C, B)))))), rewrite((((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B))) | (~increases(cardinality_at_time(C, B)))) <=> ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | (~increases(cardinality_at_time(C, B))))), ((((((~environment(A)) | (~in_environment(A, B))) | (~subpopulation(C, A, B))) | (~greater(cardinality_at_time(C, B), zero))) | (~increases(cardinality_at_time(C, B)))) <=> ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | (~increases(cardinality_at_time(C, B)))))), (((((((~environment(A)) | (~in_environment(A, B))) | (~subpopulation(C, A, B))) | (~greater(cardinality_at_time(C, B), zero))) | (~increases(cardinality_at_time(C, B)))) | greater(growth_rate(C, B), zero)) <=> (((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | (~increases(cardinality_at_time(C, B)))) | greater(growth_rate(C, B), zero)))), rewrite((((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | (~increases(cardinality_at_time(C, B)))) | greater(growth_rate(C, B), zero)) <=> ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(growth_rate(C, B), zero) | (~increases(cardinality_at_time(C, B))))), (((((((~environment(A)) | (~in_environment(A, B))) | (~subpopulation(C, A, B))) | (~greater(cardinality_at_time(C, B), zero))) | (~increases(cardinality_at_time(C, B)))) | greater(growth_rate(C, B), zero)) <=> ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(growth_rate(C, B), zero) | (~increases(cardinality_at_time(C, B))))))),
% 0.20/0.52 inference(bind,[status(th)],[])).
% 0.20/0.52 tff(413,plain,
% 0.20/0.52 (![B: $i, A: $i, C: $i] : ((((((~environment(A)) | (~in_environment(A, B))) | (~subpopulation(C, A, B))) | (~greater(cardinality_at_time(C, B), zero))) | (~increases(cardinality_at_time(C, B)))) | greater(growth_rate(C, B), zero)) <=> ![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(growth_rate(C, B), zero) | (~increases(cardinality_at_time(C, B))))),
% 0.20/0.52 inference(quant_intro,[status(thm)],[412])).
% 0.20/0.52 tff(414,axiom,(![B: $i, A: $i, C: $i] : ((((((~environment(A)) | (~in_environment(A, B))) | (~subpopulation(C, A, B))) | (~greater(cardinality_at_time(C, B), zero))) | (~increases(cardinality_at_time(C, B)))) | greater(growth_rate(C, B), zero))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','mp_growth_rate_52')).
% 0.20/0.52 tff(415,plain,
% 0.20/0.52 (![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(growth_rate(C, B), zero) | (~increases(cardinality_at_time(C, B))))),
% 0.20/0.52 inference(modus_ponens,[status(thm)],[414, 413])).
% 0.20/0.52 tff(416,plain,
% 0.20/0.52 (![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(growth_rate(C, B), zero) | (~increases(cardinality_at_time(C, B))))),
% 0.20/0.52 inference(modus_ponens,[status(thm)],[415, 411])).
% 0.20/0.52 tff(417,plain,(
% 0.20/0.52 ![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(growth_rate(C, B), zero) | (~increases(cardinality_at_time(C, B))))),
% 0.20/0.52 inference(skolemize,[status(sab)],[416])).
% 0.20/0.52 tff(418,plain,
% 0.20/0.52 (![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(growth_rate(C, B), zero) | (~increases(cardinality_at_time(C, B))))),
% 0.20/0.52 inference(modus_ponens,[status(thm)],[417, 410])).
% 0.20/0.52 tff(419,plain,
% 0.20/0.52 (((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(growth_rate(C, B), zero) | (~increases(cardinality_at_time(C, B))))) | ((~environment(sk3)) | (~greater(cardinality_at_time(first_movers, sk4(sk2(sk3))), zero)) | (~in_environment(sk3, sk4(sk2(sk3)))) | (~subpopulation(first_movers, sk3, sk4(sk2(sk3)))) | greater(growth_rate(first_movers, sk4(sk2(sk3))), zero) | (~increases(cardinality_at_time(first_movers, sk4(sk2(sk3))))))) <=> ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(growth_rate(C, B), zero) | (~increases(cardinality_at_time(C, B))))) | (~environment(sk3)) | (~greater(cardinality_at_time(first_movers, sk4(sk2(sk3))), zero)) | (~in_environment(sk3, sk4(sk2(sk3)))) | (~subpopulation(first_movers, sk3, sk4(sk2(sk3)))) | greater(growth_rate(first_movers, sk4(sk2(sk3))), zero) | (~increases(cardinality_at_time(first_movers, sk4(sk2(sk3))))))),
% 0.20/0.52 inference(rewrite,[status(thm)],[])).
% 0.20/0.52 tff(420,plain,
% 0.20/0.52 (((~environment(sk3)) | (~greater(cardinality_at_time(first_movers, sk4(sk2(sk3))), zero)) | (~subpopulation(first_movers, sk3, sk4(sk2(sk3)))) | (~in_environment(sk3, sk4(sk2(sk3)))) | greater(growth_rate(first_movers, sk4(sk2(sk3))), zero) | (~increases(cardinality_at_time(first_movers, sk4(sk2(sk3)))))) <=> ((~environment(sk3)) | (~greater(cardinality_at_time(first_movers, sk4(sk2(sk3))), zero)) | (~in_environment(sk3, sk4(sk2(sk3)))) | (~subpopulation(first_movers, sk3, sk4(sk2(sk3)))) | greater(growth_rate(first_movers, sk4(sk2(sk3))), zero) | (~increases(cardinality_at_time(first_movers, sk4(sk2(sk3))))))),
% 0.20/0.52 inference(rewrite,[status(thm)],[])).
% 0.20/0.52 tff(421,plain,
% 0.20/0.52 (((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(growth_rate(C, B), zero) | (~increases(cardinality_at_time(C, B))))) | ((~environment(sk3)) | (~greater(cardinality_at_time(first_movers, sk4(sk2(sk3))), zero)) | (~subpopulation(first_movers, sk3, sk4(sk2(sk3)))) | (~in_environment(sk3, sk4(sk2(sk3)))) | greater(growth_rate(first_movers, sk4(sk2(sk3))), zero) | (~increases(cardinality_at_time(first_movers, sk4(sk2(sk3))))))) <=> ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(growth_rate(C, B), zero) | (~increases(cardinality_at_time(C, B))))) | ((~environment(sk3)) | (~greater(cardinality_at_time(first_movers, sk4(sk2(sk3))), zero)) | (~in_environment(sk3, sk4(sk2(sk3)))) | (~subpopulation(first_movers, sk3, sk4(sk2(sk3)))) | greater(growth_rate(first_movers, sk4(sk2(sk3))), zero) | (~increases(cardinality_at_time(first_movers, sk4(sk2(sk3)))))))),
% 0.20/0.52 inference(monotonicity,[status(thm)],[420])).
% 0.20/0.52 tff(422,plain,
% 0.20/0.52 (((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(growth_rate(C, B), zero) | (~increases(cardinality_at_time(C, B))))) | ((~environment(sk3)) | (~greater(cardinality_at_time(first_movers, sk4(sk2(sk3))), zero)) | (~subpopulation(first_movers, sk3, sk4(sk2(sk3)))) | (~in_environment(sk3, sk4(sk2(sk3)))) | greater(growth_rate(first_movers, sk4(sk2(sk3))), zero) | (~increases(cardinality_at_time(first_movers, sk4(sk2(sk3))))))) <=> ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(growth_rate(C, B), zero) | (~increases(cardinality_at_time(C, B))))) | (~environment(sk3)) | (~greater(cardinality_at_time(first_movers, sk4(sk2(sk3))), zero)) | (~in_environment(sk3, sk4(sk2(sk3)))) | (~subpopulation(first_movers, sk3, sk4(sk2(sk3)))) | greater(growth_rate(first_movers, sk4(sk2(sk3))), zero) | (~increases(cardinality_at_time(first_movers, sk4(sk2(sk3))))))),
% 0.20/0.52 inference(transitivity,[status(thm)],[421, 419])).
% 0.20/0.52 tff(423,plain,
% 0.20/0.52 ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(growth_rate(C, B), zero) | (~increases(cardinality_at_time(C, B))))) | ((~environment(sk3)) | (~greater(cardinality_at_time(first_movers, sk4(sk2(sk3))), zero)) | (~subpopulation(first_movers, sk3, sk4(sk2(sk3)))) | (~in_environment(sk3, sk4(sk2(sk3)))) | greater(growth_rate(first_movers, sk4(sk2(sk3))), zero) | (~increases(cardinality_at_time(first_movers, sk4(sk2(sk3))))))),
% 0.20/0.52 inference(quant_inst,[status(thm)],[])).
% 0.20/0.52 tff(424,plain,
% 0.20/0.52 ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(growth_rate(C, B), zero) | (~increases(cardinality_at_time(C, B))))) | (~environment(sk3)) | (~greater(cardinality_at_time(first_movers, sk4(sk2(sk3))), zero)) | (~in_environment(sk3, sk4(sk2(sk3)))) | (~subpopulation(first_movers, sk3, sk4(sk2(sk3)))) | greater(growth_rate(first_movers, sk4(sk2(sk3))), zero) | (~increases(cardinality_at_time(first_movers, sk4(sk2(sk3)))))),
% 0.20/0.52 inference(modus_ponens,[status(thm)],[423, 422])).
% 0.20/0.52 tff(425,plain,
% 0.20/0.52 (greater(growth_rate(first_movers, sk4(sk2(sk3))), zero) | (~increases(cardinality_at_time(first_movers, sk4(sk2(sk3)))))),
% 0.20/0.52 inference(unit_resolution,[status(thm)],[424, 418, 32, 304, 207, 287])).
% 0.20/0.52 tff(426,plain,
% 0.20/0.52 (greater(growth_rate(first_movers, sk4(sk2(sk3))), zero)),
% 0.20/0.52 inference(unit_resolution,[status(thm)],[425, 408])).
% 0.20/0.52 tff(427,plain,
% 0.20/0.52 (((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | ((~greater(growth_rate(efficient_producers, sk4(sk2(sk3))), growth_rate(first_movers, sk4(sk2(sk3))))) | greater(growth_rate(efficient_producers, sk4(sk2(sk3))), zero) | (~greater(growth_rate(first_movers, sk4(sk2(sk3))), zero)))) <=> ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (~greater(growth_rate(efficient_producers, sk4(sk2(sk3))), growth_rate(first_movers, sk4(sk2(sk3))))) | greater(growth_rate(efficient_producers, sk4(sk2(sk3))), zero) | (~greater(growth_rate(first_movers, sk4(sk2(sk3))), zero)))),
% 0.20/0.52 inference(rewrite,[status(thm)],[])).
% 0.20/0.52 tff(428,plain,
% 0.20/0.52 ((greater(growth_rate(efficient_producers, sk4(sk2(sk3))), zero) | (~greater(growth_rate(first_movers, sk4(sk2(sk3))), zero)) | (~greater(growth_rate(efficient_producers, sk4(sk2(sk3))), growth_rate(first_movers, sk4(sk2(sk3)))))) <=> ((~greater(growth_rate(efficient_producers, sk4(sk2(sk3))), growth_rate(first_movers, sk4(sk2(sk3))))) | greater(growth_rate(efficient_producers, sk4(sk2(sk3))), zero) | (~greater(growth_rate(first_movers, sk4(sk2(sk3))), zero)))),
% 0.20/0.52 inference(rewrite,[status(thm)],[])).
% 0.20/0.52 tff(429,plain,
% 0.20/0.52 (((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(growth_rate(efficient_producers, sk4(sk2(sk3))), zero) | (~greater(growth_rate(first_movers, sk4(sk2(sk3))), zero)) | (~greater(growth_rate(efficient_producers, sk4(sk2(sk3))), growth_rate(first_movers, sk4(sk2(sk3))))))) <=> ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | ((~greater(growth_rate(efficient_producers, sk4(sk2(sk3))), growth_rate(first_movers, sk4(sk2(sk3))))) | greater(growth_rate(efficient_producers, sk4(sk2(sk3))), zero) | (~greater(growth_rate(first_movers, sk4(sk2(sk3))), zero))))),
% 0.20/0.52 inference(monotonicity,[status(thm)],[428])).
% 0.20/0.52 tff(430,plain,
% 0.20/0.52 (((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(growth_rate(efficient_producers, sk4(sk2(sk3))), zero) | (~greater(growth_rate(first_movers, sk4(sk2(sk3))), zero)) | (~greater(growth_rate(efficient_producers, sk4(sk2(sk3))), growth_rate(first_movers, sk4(sk2(sk3))))))) <=> ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (~greater(growth_rate(efficient_producers, sk4(sk2(sk3))), growth_rate(first_movers, sk4(sk2(sk3))))) | greater(growth_rate(efficient_producers, sk4(sk2(sk3))), zero) | (~greater(growth_rate(first_movers, sk4(sk2(sk3))), zero)))),
% 0.20/0.52 inference(transitivity,[status(thm)],[429, 427])).
% 0.20/0.52 tff(431,plain,
% 0.20/0.52 ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(growth_rate(efficient_producers, sk4(sk2(sk3))), zero) | (~greater(growth_rate(first_movers, sk4(sk2(sk3))), zero)) | (~greater(growth_rate(efficient_producers, sk4(sk2(sk3))), growth_rate(first_movers, sk4(sk2(sk3))))))),
% 0.20/0.52 inference(quant_inst,[status(thm)],[])).
% 0.20/0.52 tff(432,plain,
% 0.20/0.52 ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (~greater(growth_rate(efficient_producers, sk4(sk2(sk3))), growth_rate(first_movers, sk4(sk2(sk3))))) | greater(growth_rate(efficient_producers, sk4(sk2(sk3))), zero) | (~greater(growth_rate(first_movers, sk4(sk2(sk3))), zero))),
% 0.20/0.52 inference(modus_ponens,[status(thm)],[431, 430])).
% 0.20/0.52 tff(433,plain,
% 0.20/0.52 (greater(growth_rate(efficient_producers, sk4(sk2(sk3))), zero)),
% 0.20/0.52 inference(unit_resolution,[status(thm)],[432, 69, 391, 426])).
% 0.20/0.52 tff(434,plain,
% 0.20/0.52 (((~![B: $i, A: $i] : ((~(A = B)) | (~greater(A, B)))) | ((~(growth_rate(first_movers, sk4(sk2(sk3))) = zero)) | (~greater(growth_rate(first_movers, sk4(sk2(sk3))), zero)))) <=> ((~![B: $i, A: $i] : ((~(A = B)) | (~greater(A, B)))) | (~(growth_rate(first_movers, sk4(sk2(sk3))) = zero)) | (~greater(growth_rate(first_movers, sk4(sk2(sk3))), zero)))),
% 0.20/0.52 inference(rewrite,[status(thm)],[])).
% 0.20/0.52 tff(435,plain,
% 0.20/0.52 ((~![B: $i, A: $i] : ((~(A = B)) | (~greater(A, B)))) | ((~(growth_rate(first_movers, sk4(sk2(sk3))) = zero)) | (~greater(growth_rate(first_movers, sk4(sk2(sk3))), zero)))),
% 0.20/0.52 inference(quant_inst,[status(thm)],[])).
% 0.20/0.52 tff(436,plain,
% 0.20/0.52 ((~![B: $i, A: $i] : ((~(A = B)) | (~greater(A, B)))) | (~(growth_rate(first_movers, sk4(sk2(sk3))) = zero)) | (~greater(growth_rate(first_movers, sk4(sk2(sk3))), zero))),
% 0.20/0.52 inference(modus_ponens,[status(thm)],[435, 434])).
% 0.20/0.52 tff(437,plain,
% 0.20/0.52 (~(growth_rate(first_movers, sk4(sk2(sk3))) = zero)),
% 0.20/0.52 inference(unit_resolution,[status(thm)],[436, 401, 426])).
% 0.20/0.52 tff(438,plain,
% 0.20/0.52 (~constant(cardinality_at_time(first_movers, sk4(sk2(sk3))))),
% 0.20/0.52 inference(unit_resolution,[status(thm)],[321, 437])).
% 0.20/0.52 tff(439,plain,
% 0.20/0.52 (^[B: $i, A: $i, C: $i] : refl((decreases(B) | constant(B) | (~constant(A)) | (~(A = sum(B, C))) | decreases(C)) <=> (decreases(B) | constant(B) | (~constant(A)) | (~(A = sum(B, C))) | decreases(C)))),
% 0.20/0.52 inference(bind,[status(th)],[])).
% 0.20/0.52 tff(440,plain,
% 0.20/0.52 (![B: $i, A: $i, C: $i] : (decreases(B) | constant(B) | (~constant(A)) | (~(A = sum(B, C))) | decreases(C)) <=> ![B: $i, A: $i, C: $i] : (decreases(B) | constant(B) | (~constant(A)) | (~(A = sum(B, C))) | decreases(C))),
% 0.20/0.52 inference(quant_intro,[status(thm)],[439])).
% 0.20/0.52 tff(441,plain,
% 0.20/0.52 (![B: $i, A: $i, C: $i] : (decreases(B) | constant(B) | (~constant(A)) | (~(A = sum(B, C))) | decreases(C)) <=> ![B: $i, A: $i, C: $i] : (decreases(B) | constant(B) | (~constant(A)) | (~(A = sum(B, C))) | decreases(C))),
% 0.20/0.52 inference(rewrite,[status(thm)],[])).
% 0.20/0.52 tff(442,plain,
% 0.20/0.52 (^[B: $i, A: $i, C: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~(A = sum(B, C))) | (~constant(A))) <=> ((~constant(A)) | (~(A = sum(B, C))))), ((((~(A = sum(B, C))) | (~constant(A))) | constant(B)) <=> (((~constant(A)) | (~(A = sum(B, C)))) | constant(B)))), rewrite((((~constant(A)) | (~(A = sum(B, C)))) | constant(B)) <=> (constant(B) | (~constant(A)) | (~(A = sum(B, C))))), ((((~(A = sum(B, C))) | (~constant(A))) | constant(B)) <=> (constant(B) | (~constant(A)) | (~(A = sum(B, C)))))), (((((~(A = sum(B, C))) | (~constant(A))) | constant(B)) | decreases(C)) <=> ((constant(B) | (~constant(A)) | (~(A = sum(B, C)))) | decreases(C)))), rewrite(((constant(B) | (~constant(A)) | (~(A = sum(B, C)))) | decreases(C)) <=> (constant(B) | (~constant(A)) | (~(A = sum(B, C))) | decreases(C))), (((((~(A = sum(B, C))) | (~constant(A))) | constant(B)) | decreases(C)) <=> (constant(B) | (~constant(A)) | (~(A = sum(B, C))) | decreases(C)))), ((((((~(A = sum(B, C))) | (~constant(A))) | constant(B)) | decreases(C)) | decreases(B)) <=> ((constant(B) | (~constant(A)) | (~(A = sum(B, C))) | decreases(C)) | decreases(B)))), rewrite(((constant(B) | (~constant(A)) | (~(A = sum(B, C))) | decreases(C)) | decreases(B)) <=> (decreases(B) | constant(B) | (~constant(A)) | (~(A = sum(B, C))) | decreases(C))), ((((((~(A = sum(B, C))) | (~constant(A))) | constant(B)) | decreases(C)) | decreases(B)) <=> (decreases(B) | constant(B) | (~constant(A)) | (~(A = sum(B, C))) | decreases(C))))),
% 0.20/0.52 inference(bind,[status(th)],[])).
% 0.20/0.52 tff(443,plain,
% 0.20/0.52 (![B: $i, A: $i, C: $i] : (((((~(A = sum(B, C))) | (~constant(A))) | constant(B)) | decreases(C)) | decreases(B)) <=> ![B: $i, A: $i, C: $i] : (decreases(B) | constant(B) | (~constant(A)) | (~(A = sum(B, C))) | decreases(C))),
% 0.20/0.52 inference(quant_intro,[status(thm)],[442])).
% 0.20/0.52 tff(444,axiom,(![B: $i, A: $i, C: $i] : (((((~(A = sum(B, C))) | (~constant(A))) | constant(B)) | decreases(C)) | decreases(B))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','mp_abc_sum_increase_45')).
% 0.20/0.52 tff(445,plain,
% 0.20/0.52 (![B: $i, A: $i, C: $i] : (decreases(B) | constant(B) | (~constant(A)) | (~(A = sum(B, C))) | decreases(C))),
% 0.20/0.52 inference(modus_ponens,[status(thm)],[444, 443])).
% 0.20/0.52 tff(446,plain,
% 0.20/0.52 (![B: $i, A: $i, C: $i] : (decreases(B) | constant(B) | (~constant(A)) | (~(A = sum(B, C))) | decreases(C))),
% 0.20/0.52 inference(modus_ponens,[status(thm)],[445, 441])).
% 0.20/0.52 tff(447,plain,(
% 0.20/0.52 ![B: $i, A: $i, C: $i] : (decreases(B) | constant(B) | (~constant(A)) | (~(A = sum(B, C))) | decreases(C))),
% 0.20/0.52 inference(skolemize,[status(sab)],[446])).
% 0.20/0.52 tff(448,plain,
% 0.20/0.52 (![B: $i, A: $i, C: $i] : (decreases(B) | constant(B) | (~constant(A)) | (~(A = sum(B, C))) | decreases(C))),
% 0.20/0.52 inference(modus_ponens,[status(thm)],[447, 440])).
% 0.20/0.52 tff(449,plain,
% 0.20/0.52 (((~![B: $i, A: $i, C: $i] : (decreases(B) | constant(B) | (~constant(A)) | (~(A = sum(B, C))) | decreases(C))) | (decreases(cardinality_at_time(efficient_producers, sk4(sk2(sk3)))) | decreases(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | constant(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3)))))))) <=> ((~![B: $i, A: $i, C: $i] : (decreases(B) | constant(B) | (~constant(A)) | (~(A = sum(B, C))) | decreases(C))) | decreases(cardinality_at_time(efficient_producers, sk4(sk2(sk3)))) | decreases(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | constant(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3)))))))),
% 0.20/0.52 inference(rewrite,[status(thm)],[])).
% 0.20/0.52 tff(450,plain,
% 0.20/0.52 ((decreases(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | constant(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3)))))) | $false | decreases(cardinality_at_time(efficient_producers, sk4(sk2(sk3))))) <=> (decreases(cardinality_at_time(efficient_producers, sk4(sk2(sk3)))) | decreases(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | constant(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3)))))))),
% 0.20/0.52 inference(rewrite,[status(thm)],[])).
% 0.20/0.52 tff(451,plain,
% 0.20/0.52 ((decreases(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | constant(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3)))))) | (~(sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3)))) = sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3)))))) | decreases(cardinality_at_time(efficient_producers, sk4(sk2(sk3))))) <=> (decreases(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | constant(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3)))))) | $false | decreases(cardinality_at_time(efficient_producers, sk4(sk2(sk3)))))),
% 0.20/0.52 inference(monotonicity,[status(thm)],[265])).
% 0.20/0.52 tff(452,plain,
% 0.20/0.52 ((decreases(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | constant(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3)))))) | (~(sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3)))) = sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3)))))) | decreases(cardinality_at_time(efficient_producers, sk4(sk2(sk3))))) <=> (decreases(cardinality_at_time(efficient_producers, sk4(sk2(sk3)))) | decreases(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | constant(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3)))))))),
% 0.20/0.52 inference(transitivity,[status(thm)],[451, 450])).
% 0.20/0.52 tff(453,plain,
% 0.20/0.52 (((~![B: $i, A: $i, C: $i] : (decreases(B) | constant(B) | (~constant(A)) | (~(A = sum(B, C))) | decreases(C))) | (decreases(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | constant(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3)))))) | (~(sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3)))) = sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3)))))) | decreases(cardinality_at_time(efficient_producers, sk4(sk2(sk3)))))) <=> ((~![B: $i, A: $i, C: $i] : (decreases(B) | constant(B) | (~constant(A)) | (~(A = sum(B, C))) | decreases(C))) | (decreases(cardinality_at_time(efficient_producers, sk4(sk2(sk3)))) | decreases(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | constant(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3))))))))),
% 0.20/0.53 inference(monotonicity,[status(thm)],[452])).
% 0.20/0.53 tff(454,plain,
% 0.20/0.53 (((~![B: $i, A: $i, C: $i] : (decreases(B) | constant(B) | (~constant(A)) | (~(A = sum(B, C))) | decreases(C))) | (decreases(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | constant(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3)))))) | (~(sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3)))) = sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3)))))) | decreases(cardinality_at_time(efficient_producers, sk4(sk2(sk3)))))) <=> ((~![B: $i, A: $i, C: $i] : (decreases(B) | constant(B) | (~constant(A)) | (~(A = sum(B, C))) | decreases(C))) | decreases(cardinality_at_time(efficient_producers, sk4(sk2(sk3)))) | decreases(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | constant(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3)))))))),
% 0.20/0.53 inference(transitivity,[status(thm)],[453, 449])).
% 0.20/0.53 tff(455,plain,
% 0.20/0.53 ((~![B: $i, A: $i, C: $i] : (decreases(B) | constant(B) | (~constant(A)) | (~(A = sum(B, C))) | decreases(C))) | (decreases(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | constant(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3)))))) | (~(sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3)))) = sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3)))))) | decreases(cardinality_at_time(efficient_producers, sk4(sk2(sk3)))))),
% 0.20/0.53 inference(quant_inst,[status(thm)],[])).
% 0.20/0.53 tff(456,plain,
% 0.20/0.53 ((~![B: $i, A: $i, C: $i] : (decreases(B) | constant(B) | (~constant(A)) | (~(A = sum(B, C))) | decreases(C))) | decreases(cardinality_at_time(efficient_producers, sk4(sk2(sk3)))) | decreases(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | constant(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3))))))),
% 0.20/0.53 inference(modus_ponens,[status(thm)],[455, 454])).
% 0.20/0.53 tff(457,plain,
% 0.20/0.53 (decreases(cardinality_at_time(efficient_producers, sk4(sk2(sk3)))) | decreases(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | constant(cardinality_at_time(first_movers, sk4(sk2(sk3))))),
% 0.20/0.53 inference(unit_resolution,[status(thm)],[456, 448, 248])).
% 0.20/0.53 tff(458,plain,
% 0.20/0.53 (decreases(cardinality_at_time(efficient_producers, sk4(sk2(sk3))))),
% 0.20/0.53 inference(unit_resolution,[status(thm)],[457, 438, 249])).
% 0.20/0.53 tff(459,plain,
% 0.20/0.53 (^[B: $i, A: $i, C: $i] : refl(((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(zero, growth_rate(C, B)) | (~decreases(cardinality_at_time(C, B)))) <=> ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(zero, growth_rate(C, B)) | (~decreases(cardinality_at_time(C, B)))))),
% 0.20/0.53 inference(bind,[status(th)],[])).
% 0.20/0.53 tff(460,plain,
% 0.20/0.53 (![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(zero, growth_rate(C, B)) | (~decreases(cardinality_at_time(C, B)))) <=> ![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(zero, growth_rate(C, B)) | (~decreases(cardinality_at_time(C, B))))),
% 0.20/0.53 inference(quant_intro,[status(thm)],[459])).
% 0.20/0.53 tff(461,plain,
% 0.20/0.53 (![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(zero, growth_rate(C, B)) | (~decreases(cardinality_at_time(C, B)))) <=> ![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(zero, growth_rate(C, B)) | (~decreases(cardinality_at_time(C, B))))),
% 0.20/0.53 inference(rewrite,[status(thm)],[])).
% 0.20/0.53 tff(462,plain,
% 0.20/0.53 (^[B: $i, A: $i, C: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~environment(A)) | (~in_environment(A, B))) | (~subpopulation(C, A, B))) <=> ((~environment(A)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)))), (((((~environment(A)) | (~in_environment(A, B))) | (~subpopulation(C, A, B))) | (~greater(cardinality_at_time(C, B), zero))) <=> (((~environment(A)) | (~subpopulation(C, A, B)) | (~in_environment(A, B))) | (~greater(cardinality_at_time(C, B), zero))))), rewrite((((~environment(A)) | (~subpopulation(C, A, B)) | (~in_environment(A, B))) | (~greater(cardinality_at_time(C, B), zero))) <=> ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)))), (((((~environment(A)) | (~in_environment(A, B))) | (~subpopulation(C, A, B))) | (~greater(cardinality_at_time(C, B), zero))) <=> ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B))))), ((((((~environment(A)) | (~in_environment(A, B))) | (~subpopulation(C, A, B))) | (~greater(cardinality_at_time(C, B), zero))) | (~decreases(cardinality_at_time(C, B)))) <=> (((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B))) | (~decreases(cardinality_at_time(C, B)))))), rewrite((((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B))) | (~decreases(cardinality_at_time(C, B)))) <=> ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | (~decreases(cardinality_at_time(C, B))))), ((((((~environment(A)) | (~in_environment(A, B))) | (~subpopulation(C, A, B))) | (~greater(cardinality_at_time(C, B), zero))) | (~decreases(cardinality_at_time(C, B)))) <=> ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | (~decreases(cardinality_at_time(C, B)))))), (((((((~environment(A)) | (~in_environment(A, B))) | (~subpopulation(C, A, B))) | (~greater(cardinality_at_time(C, B), zero))) | (~decreases(cardinality_at_time(C, B)))) | greater(zero, growth_rate(C, B))) <=> (((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | (~decreases(cardinality_at_time(C, B)))) | greater(zero, growth_rate(C, B))))), rewrite((((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | (~decreases(cardinality_at_time(C, B)))) | greater(zero, growth_rate(C, B))) <=> ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(zero, growth_rate(C, B)) | (~decreases(cardinality_at_time(C, B))))), (((((((~environment(A)) | (~in_environment(A, B))) | (~subpopulation(C, A, B))) | (~greater(cardinality_at_time(C, B), zero))) | (~decreases(cardinality_at_time(C, B)))) | greater(zero, growth_rate(C, B))) <=> ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(zero, growth_rate(C, B)) | (~decreases(cardinality_at_time(C, B))))))),
% 0.20/0.53 inference(bind,[status(th)],[])).
% 0.20/0.53 tff(463,plain,
% 0.20/0.53 (![B: $i, A: $i, C: $i] : ((((((~environment(A)) | (~in_environment(A, B))) | (~subpopulation(C, A, B))) | (~greater(cardinality_at_time(C, B), zero))) | (~decreases(cardinality_at_time(C, B)))) | greater(zero, growth_rate(C, B))) <=> ![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(zero, growth_rate(C, B)) | (~decreases(cardinality_at_time(C, B))))),
% 0.20/0.53 inference(quant_intro,[status(thm)],[462])).
% 0.20/0.53 tff(464,axiom,(![B: $i, A: $i, C: $i] : ((((((~environment(A)) | (~in_environment(A, B))) | (~subpopulation(C, A, B))) | (~greater(cardinality_at_time(C, B), zero))) | (~decreases(cardinality_at_time(C, B)))) | greater(zero, growth_rate(C, B)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','mp_growth_rate_53')).
% 0.20/0.53 tff(465,plain,
% 0.20/0.53 (![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(zero, growth_rate(C, B)) | (~decreases(cardinality_at_time(C, B))))),
% 0.20/0.53 inference(modus_ponens,[status(thm)],[464, 463])).
% 0.20/0.53 tff(466,plain,
% 0.20/0.53 (![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(zero, growth_rate(C, B)) | (~decreases(cardinality_at_time(C, B))))),
% 0.20/0.53 inference(modus_ponens,[status(thm)],[465, 461])).
% 0.20/0.53 tff(467,plain,(
% 0.20/0.53 ![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(zero, growth_rate(C, B)) | (~decreases(cardinality_at_time(C, B))))),
% 0.20/0.53 inference(skolemize,[status(sab)],[466])).
% 0.20/0.53 tff(468,plain,
% 0.20/0.53 (![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(zero, growth_rate(C, B)) | (~decreases(cardinality_at_time(C, B))))),
% 0.20/0.53 inference(modus_ponens,[status(thm)],[467, 460])).
% 0.20/0.53 tff(469,plain,
% 0.20/0.53 (((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(zero, growth_rate(C, B)) | (~decreases(cardinality_at_time(C, B))))) | ((~environment(sk3)) | (~greater(cardinality_at_time(efficient_producers, sk4(sk2(sk3))), zero)) | (~in_environment(sk3, sk4(sk2(sk3)))) | (~subpopulation(efficient_producers, sk3, sk4(sk2(sk3)))) | greater(zero, growth_rate(efficient_producers, sk4(sk2(sk3)))) | (~decreases(cardinality_at_time(efficient_producers, sk4(sk2(sk3))))))) <=> ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(zero, growth_rate(C, B)) | (~decreases(cardinality_at_time(C, B))))) | (~environment(sk3)) | (~greater(cardinality_at_time(efficient_producers, sk4(sk2(sk3))), zero)) | (~in_environment(sk3, sk4(sk2(sk3)))) | (~subpopulation(efficient_producers, sk3, sk4(sk2(sk3)))) | greater(zero, growth_rate(efficient_producers, sk4(sk2(sk3)))) | (~decreases(cardinality_at_time(efficient_producers, sk4(sk2(sk3))))))),
% 0.20/0.53 inference(rewrite,[status(thm)],[])).
% 0.20/0.53 tff(470,plain,
% 0.20/0.53 (((~environment(sk3)) | (~greater(cardinality_at_time(efficient_producers, sk4(sk2(sk3))), zero)) | (~subpopulation(efficient_producers, sk3, sk4(sk2(sk3)))) | (~in_environment(sk3, sk4(sk2(sk3)))) | greater(zero, growth_rate(efficient_producers, sk4(sk2(sk3)))) | (~decreases(cardinality_at_time(efficient_producers, sk4(sk2(sk3)))))) <=> ((~environment(sk3)) | (~greater(cardinality_at_time(efficient_producers, sk4(sk2(sk3))), zero)) | (~in_environment(sk3, sk4(sk2(sk3)))) | (~subpopulation(efficient_producers, sk3, sk4(sk2(sk3)))) | greater(zero, growth_rate(efficient_producers, sk4(sk2(sk3)))) | (~decreases(cardinality_at_time(efficient_producers, sk4(sk2(sk3))))))),
% 0.20/0.53 inference(rewrite,[status(thm)],[])).
% 0.20/0.53 tff(471,plain,
% 0.20/0.53 (((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(zero, growth_rate(C, B)) | (~decreases(cardinality_at_time(C, B))))) | ((~environment(sk3)) | (~greater(cardinality_at_time(efficient_producers, sk4(sk2(sk3))), zero)) | (~subpopulation(efficient_producers, sk3, sk4(sk2(sk3)))) | (~in_environment(sk3, sk4(sk2(sk3)))) | greater(zero, growth_rate(efficient_producers, sk4(sk2(sk3)))) | (~decreases(cardinality_at_time(efficient_producers, sk4(sk2(sk3))))))) <=> ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(zero, growth_rate(C, B)) | (~decreases(cardinality_at_time(C, B))))) | ((~environment(sk3)) | (~greater(cardinality_at_time(efficient_producers, sk4(sk2(sk3))), zero)) | (~in_environment(sk3, sk4(sk2(sk3)))) | (~subpopulation(efficient_producers, sk3, sk4(sk2(sk3)))) | greater(zero, growth_rate(efficient_producers, sk4(sk2(sk3)))) | (~decreases(cardinality_at_time(efficient_producers, sk4(sk2(sk3)))))))),
% 0.20/0.53 inference(monotonicity,[status(thm)],[470])).
% 0.20/0.53 tff(472,plain,
% 0.20/0.53 (((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(zero, growth_rate(C, B)) | (~decreases(cardinality_at_time(C, B))))) | ((~environment(sk3)) | (~greater(cardinality_at_time(efficient_producers, sk4(sk2(sk3))), zero)) | (~subpopulation(efficient_producers, sk3, sk4(sk2(sk3)))) | (~in_environment(sk3, sk4(sk2(sk3)))) | greater(zero, growth_rate(efficient_producers, sk4(sk2(sk3)))) | (~decreases(cardinality_at_time(efficient_producers, sk4(sk2(sk3))))))) <=> ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(zero, growth_rate(C, B)) | (~decreases(cardinality_at_time(C, B))))) | (~environment(sk3)) | (~greater(cardinality_at_time(efficient_producers, sk4(sk2(sk3))), zero)) | (~in_environment(sk3, sk4(sk2(sk3)))) | (~subpopulation(efficient_producers, sk3, sk4(sk2(sk3)))) | greater(zero, growth_rate(efficient_producers, sk4(sk2(sk3)))) | (~decreases(cardinality_at_time(efficient_producers, sk4(sk2(sk3))))))),
% 0.20/0.53 inference(transitivity,[status(thm)],[471, 469])).
% 0.20/0.53 tff(473,plain,
% 0.20/0.53 ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(zero, growth_rate(C, B)) | (~decreases(cardinality_at_time(C, B))))) | ((~environment(sk3)) | (~greater(cardinality_at_time(efficient_producers, sk4(sk2(sk3))), zero)) | (~subpopulation(efficient_producers, sk3, sk4(sk2(sk3)))) | (~in_environment(sk3, sk4(sk2(sk3)))) | greater(zero, growth_rate(efficient_producers, sk4(sk2(sk3)))) | (~decreases(cardinality_at_time(efficient_producers, sk4(sk2(sk3))))))),
% 0.20/0.53 inference(quant_inst,[status(thm)],[])).
% 0.20/0.53 tff(474,plain,
% 0.20/0.53 ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(zero, growth_rate(C, B)) | (~decreases(cardinality_at_time(C, B))))) | (~environment(sk3)) | (~greater(cardinality_at_time(efficient_producers, sk4(sk2(sk3))), zero)) | (~in_environment(sk3, sk4(sk2(sk3)))) | (~subpopulation(efficient_producers, sk3, sk4(sk2(sk3)))) | greater(zero, growth_rate(efficient_producers, sk4(sk2(sk3)))) | (~decreases(cardinality_at_time(efficient_producers, sk4(sk2(sk3)))))),
% 0.20/0.53 inference(modus_ponens,[status(thm)],[473, 472])).
% 0.20/0.53 tff(475,plain,
% 0.20/0.53 (greater(zero, growth_rate(efficient_producers, sk4(sk2(sk3)))) | (~decreases(cardinality_at_time(efficient_producers, sk4(sk2(sk3)))))),
% 0.20/0.53 inference(unit_resolution,[status(thm)],[474, 468, 32, 361, 207, 221])).
% 0.20/0.53 tff(476,plain,
% 0.20/0.53 (greater(zero, growth_rate(efficient_producers, sk4(sk2(sk3))))),
% 0.20/0.53 inference(unit_resolution,[status(thm)],[475, 458])).
% 0.20/0.53 tff(477,plain,
% 0.20/0.53 (^[B: $i, A: $i] : refl(((~greater(A, B)) | (~greater(B, A))) <=> ((~greater(A, B)) | (~greater(B, A))))),
% 0.20/0.53 inference(bind,[status(th)],[])).
% 0.20/0.53 tff(478,plain,
% 0.20/0.53 (![B: $i, A: $i] : ((~greater(A, B)) | (~greater(B, A))) <=> ![B: $i, A: $i] : ((~greater(A, B)) | (~greater(B, A)))),
% 0.20/0.53 inference(quant_intro,[status(thm)],[477])).
% 0.20/0.53 tff(479,plain,
% 0.20/0.53 (![B: $i, A: $i] : ((~greater(A, B)) | (~greater(B, A))) <=> ![B: $i, A: $i] : ((~greater(A, B)) | (~greater(B, A)))),
% 0.20/0.53 inference(rewrite,[status(thm)],[])).
% 0.20/0.53 tff(480,axiom,(![B: $i, A: $i] : ((~greater(A, B)) | (~greater(B, A)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','mp6_2_57')).
% 0.20/0.53 tff(481,plain,
% 0.20/0.53 (![B: $i, A: $i] : ((~greater(A, B)) | (~greater(B, A)))),
% 0.20/0.53 inference(modus_ponens,[status(thm)],[480, 479])).
% 0.20/0.53 tff(482,plain,(
% 0.20/0.53 ![B: $i, A: $i] : ((~greater(A, B)) | (~greater(B, A)))),
% 0.20/0.53 inference(skolemize,[status(sab)],[481])).
% 0.20/0.53 tff(483,plain,
% 0.20/0.53 (![B: $i, A: $i] : ((~greater(A, B)) | (~greater(B, A)))),
% 0.20/0.53 inference(modus_ponens,[status(thm)],[482, 478])).
% 0.20/0.53 tff(484,plain,
% 0.20/0.53 (((~![B: $i, A: $i] : ((~greater(A, B)) | (~greater(B, A)))) | ((~greater(zero, growth_rate(efficient_producers, sk4(sk2(sk3))))) | (~greater(growth_rate(efficient_producers, sk4(sk2(sk3))), zero)))) <=> ((~![B: $i, A: $i] : ((~greater(A, B)) | (~greater(B, A)))) | (~greater(zero, growth_rate(efficient_producers, sk4(sk2(sk3))))) | (~greater(growth_rate(efficient_producers, sk4(sk2(sk3))), zero)))),
% 0.20/0.53 inference(rewrite,[status(thm)],[])).
% 0.20/0.53 tff(485,plain,
% 0.20/0.53 ((~![B: $i, A: $i] : ((~greater(A, B)) | (~greater(B, A)))) | ((~greater(zero, growth_rate(efficient_producers, sk4(sk2(sk3))))) | (~greater(growth_rate(efficient_producers, sk4(sk2(sk3))), zero)))),
% 0.20/0.53 inference(quant_inst,[status(thm)],[])).
% 0.20/0.53 tff(486,plain,
% 0.20/0.53 ((~![B: $i, A: $i] : ((~greater(A, B)) | (~greater(B, A)))) | (~greater(zero, growth_rate(efficient_producers, sk4(sk2(sk3))))) | (~greater(growth_rate(efficient_producers, sk4(sk2(sk3))), zero))),
% 0.20/0.53 inference(modus_ponens,[status(thm)],[485, 484])).
% 0.20/0.53 tff(487,plain,
% 0.20/0.53 ($false),
% 0.20/0.53 inference(unit_resolution,[status(thm)],[486, 483, 476, 433])).
% 0.20/0.53 tff(488,plain,(decreases(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3))))))), inference(lemma,lemma(discharge,[]))).
% 0.20/0.53 tff(489,plain,
% 0.20/0.53 (decreases(cardinality_at_time(first_movers, sk4(sk2(sk3))))),
% 0.20/0.53 inference(unit_resolution,[status(thm)],[488, 248])).
% 0.20/0.53 tff(490,plain,
% 0.20/0.53 (((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(zero, growth_rate(C, B)) | (~decreases(cardinality_at_time(C, B))))) | ((~environment(sk3)) | greater(zero, growth_rate(first_movers, sk4(sk2(sk3)))) | (~greater(cardinality_at_time(first_movers, sk4(sk2(sk3))), zero)) | (~in_environment(sk3, sk4(sk2(sk3)))) | (~subpopulation(first_movers, sk3, sk4(sk2(sk3)))) | (~decreases(cardinality_at_time(first_movers, sk4(sk2(sk3))))))) <=> ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(zero, growth_rate(C, B)) | (~decreases(cardinality_at_time(C, B))))) | (~environment(sk3)) | greater(zero, growth_rate(first_movers, sk4(sk2(sk3)))) | (~greater(cardinality_at_time(first_movers, sk4(sk2(sk3))), zero)) | (~in_environment(sk3, sk4(sk2(sk3)))) | (~subpopulation(first_movers, sk3, sk4(sk2(sk3)))) | (~decreases(cardinality_at_time(first_movers, sk4(sk2(sk3))))))),
% 0.20/0.53 inference(rewrite,[status(thm)],[])).
% 0.20/0.53 tff(491,plain,
% 0.20/0.53 (((~environment(sk3)) | (~greater(cardinality_at_time(first_movers, sk4(sk2(sk3))), zero)) | (~subpopulation(first_movers, sk3, sk4(sk2(sk3)))) | (~in_environment(sk3, sk4(sk2(sk3)))) | greater(zero, growth_rate(first_movers, sk4(sk2(sk3)))) | (~decreases(cardinality_at_time(first_movers, sk4(sk2(sk3)))))) <=> ((~environment(sk3)) | greater(zero, growth_rate(first_movers, sk4(sk2(sk3)))) | (~greater(cardinality_at_time(first_movers, sk4(sk2(sk3))), zero)) | (~in_environment(sk3, sk4(sk2(sk3)))) | (~subpopulation(first_movers, sk3, sk4(sk2(sk3)))) | (~decreases(cardinality_at_time(first_movers, sk4(sk2(sk3))))))),
% 0.20/0.53 inference(rewrite,[status(thm)],[])).
% 0.20/0.53 tff(492,plain,
% 0.20/0.53 (((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(zero, growth_rate(C, B)) | (~decreases(cardinality_at_time(C, B))))) | ((~environment(sk3)) | (~greater(cardinality_at_time(first_movers, sk4(sk2(sk3))), zero)) | (~subpopulation(first_movers, sk3, sk4(sk2(sk3)))) | (~in_environment(sk3, sk4(sk2(sk3)))) | greater(zero, growth_rate(first_movers, sk4(sk2(sk3)))) | (~decreases(cardinality_at_time(first_movers, sk4(sk2(sk3))))))) <=> ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(zero, growth_rate(C, B)) | (~decreases(cardinality_at_time(C, B))))) | ((~environment(sk3)) | greater(zero, growth_rate(first_movers, sk4(sk2(sk3)))) | (~greater(cardinality_at_time(first_movers, sk4(sk2(sk3))), zero)) | (~in_environment(sk3, sk4(sk2(sk3)))) | (~subpopulation(first_movers, sk3, sk4(sk2(sk3)))) | (~decreases(cardinality_at_time(first_movers, sk4(sk2(sk3)))))))),
% 0.20/0.53 inference(monotonicity,[status(thm)],[491])).
% 0.20/0.53 tff(493,plain,
% 0.20/0.53 (((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(zero, growth_rate(C, B)) | (~decreases(cardinality_at_time(C, B))))) | ((~environment(sk3)) | (~greater(cardinality_at_time(first_movers, sk4(sk2(sk3))), zero)) | (~subpopulation(first_movers, sk3, sk4(sk2(sk3)))) | (~in_environment(sk3, sk4(sk2(sk3)))) | greater(zero, growth_rate(first_movers, sk4(sk2(sk3)))) | (~decreases(cardinality_at_time(first_movers, sk4(sk2(sk3))))))) <=> ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(zero, growth_rate(C, B)) | (~decreases(cardinality_at_time(C, B))))) | (~environment(sk3)) | greater(zero, growth_rate(first_movers, sk4(sk2(sk3)))) | (~greater(cardinality_at_time(first_movers, sk4(sk2(sk3))), zero)) | (~in_environment(sk3, sk4(sk2(sk3)))) | (~subpopulation(first_movers, sk3, sk4(sk2(sk3)))) | (~decreases(cardinality_at_time(first_movers, sk4(sk2(sk3))))))),
% 0.20/0.53 inference(transitivity,[status(thm)],[492, 490])).
% 0.20/0.53 tff(494,plain,
% 0.20/0.53 ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(zero, growth_rate(C, B)) | (~decreases(cardinality_at_time(C, B))))) | ((~environment(sk3)) | (~greater(cardinality_at_time(first_movers, sk4(sk2(sk3))), zero)) | (~subpopulation(first_movers, sk3, sk4(sk2(sk3)))) | (~in_environment(sk3, sk4(sk2(sk3)))) | greater(zero, growth_rate(first_movers, sk4(sk2(sk3)))) | (~decreases(cardinality_at_time(first_movers, sk4(sk2(sk3))))))),
% 0.20/0.53 inference(quant_inst,[status(thm)],[])).
% 0.20/0.53 tff(495,plain,
% 0.20/0.53 ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(zero, growth_rate(C, B)) | (~decreases(cardinality_at_time(C, B))))) | (~environment(sk3)) | greater(zero, growth_rate(first_movers, sk4(sk2(sk3)))) | (~greater(cardinality_at_time(first_movers, sk4(sk2(sk3))), zero)) | (~in_environment(sk3, sk4(sk2(sk3)))) | (~subpopulation(first_movers, sk3, sk4(sk2(sk3)))) | (~decreases(cardinality_at_time(first_movers, sk4(sk2(sk3)))))),
% 0.20/0.53 inference(modus_ponens,[status(thm)],[494, 493])).
% 0.20/0.53 tff(496,plain,
% 0.20/0.53 (greater(zero, growth_rate(first_movers, sk4(sk2(sk3)))) | (~decreases(cardinality_at_time(first_movers, sk4(sk2(sk3)))))),
% 0.20/0.53 inference(unit_resolution,[status(thm)],[495, 468, 32, 304, 207, 287])).
% 0.20/0.53 tff(497,plain,
% 0.20/0.53 (greater(zero, growth_rate(first_movers, sk4(sk2(sk3))))),
% 0.20/0.53 inference(unit_resolution,[status(thm)],[496, 489])).
% 0.20/0.53 tff(498,plain,
% 0.20/0.53 (((~![B: $i, A: $i] : ((~greater(A, B)) | (~greater(B, A)))) | ((~greater(zero, growth_rate(first_movers, sk4(sk2(sk3))))) | (~greater(growth_rate(first_movers, sk4(sk2(sk3))), zero)))) <=> ((~![B: $i, A: $i] : ((~greater(A, B)) | (~greater(B, A)))) | (~greater(zero, growth_rate(first_movers, sk4(sk2(sk3))))) | (~greater(growth_rate(first_movers, sk4(sk2(sk3))), zero)))),
% 0.20/0.53 inference(rewrite,[status(thm)],[])).
% 0.20/0.53 tff(499,plain,
% 0.20/0.53 (((~greater(growth_rate(first_movers, sk4(sk2(sk3))), zero)) | (~greater(zero, growth_rate(first_movers, sk4(sk2(sk3)))))) <=> ((~greater(zero, growth_rate(first_movers, sk4(sk2(sk3))))) | (~greater(growth_rate(first_movers, sk4(sk2(sk3))), zero)))),
% 0.20/0.53 inference(rewrite,[status(thm)],[])).
% 0.20/0.53 tff(500,plain,
% 0.20/0.53 (((~![B: $i, A: $i] : ((~greater(A, B)) | (~greater(B, A)))) | ((~greater(growth_rate(first_movers, sk4(sk2(sk3))), zero)) | (~greater(zero, growth_rate(first_movers, sk4(sk2(sk3))))))) <=> ((~![B: $i, A: $i] : ((~greater(A, B)) | (~greater(B, A)))) | ((~greater(zero, growth_rate(first_movers, sk4(sk2(sk3))))) | (~greater(growth_rate(first_movers, sk4(sk2(sk3))), zero))))),
% 0.20/0.53 inference(monotonicity,[status(thm)],[499])).
% 0.20/0.53 tff(501,plain,
% 0.20/0.53 (((~![B: $i, A: $i] : ((~greater(A, B)) | (~greater(B, A)))) | ((~greater(growth_rate(first_movers, sk4(sk2(sk3))), zero)) | (~greater(zero, growth_rate(first_movers, sk4(sk2(sk3))))))) <=> ((~![B: $i, A: $i] : ((~greater(A, B)) | (~greater(B, A)))) | (~greater(zero, growth_rate(first_movers, sk4(sk2(sk3))))) | (~greater(growth_rate(first_movers, sk4(sk2(sk3))), zero)))),
% 0.20/0.53 inference(transitivity,[status(thm)],[500, 498])).
% 0.20/0.53 tff(502,plain,
% 0.20/0.53 ((~![B: $i, A: $i] : ((~greater(A, B)) | (~greater(B, A)))) | ((~greater(growth_rate(first_movers, sk4(sk2(sk3))), zero)) | (~greater(zero, growth_rate(first_movers, sk4(sk2(sk3))))))),
% 0.20/0.53 inference(quant_inst,[status(thm)],[])).
% 0.20/0.53 tff(503,plain,
% 0.20/0.53 ((~![B: $i, A: $i] : ((~greater(A, B)) | (~greater(B, A)))) | (~greater(zero, growth_rate(first_movers, sk4(sk2(sk3))))) | (~greater(growth_rate(first_movers, sk4(sk2(sk3))), zero))),
% 0.20/0.53 inference(modus_ponens,[status(thm)],[502, 501])).
% 0.20/0.53 tff(504,plain,
% 0.20/0.53 (~greater(growth_rate(first_movers, sk4(sk2(sk3))), zero)),
% 0.20/0.53 inference(unit_resolution,[status(thm)],[503, 483, 497])).
% 0.20/0.53 tff(505,plain,
% 0.20/0.53 (~increases(cardinality_at_time(first_movers, sk4(sk2(sk3))))),
% 0.20/0.53 inference(unit_resolution,[status(thm)],[425, 504])).
% 0.20/0.53 tff(506,plain,
% 0.20/0.53 (^[A: $i] : refl(((~in_environment(sk3, A)) | (~outcompetes(efficient_producers, first_movers, sk4(A)))) <=> ((~in_environment(sk3, A)) | (~outcompetes(efficient_producers, first_movers, sk4(A)))))),
% 0.20/0.53 inference(bind,[status(th)],[])).
% 0.20/0.53 tff(507,plain,
% 0.20/0.53 (![A: $i] : ((~in_environment(sk3, A)) | (~outcompetes(efficient_producers, first_movers, sk4(A)))) <=> ![A: $i] : ((~in_environment(sk3, A)) | (~outcompetes(efficient_producers, first_movers, sk4(A))))),
% 0.20/0.53 inference(quant_intro,[status(thm)],[506])).
% 0.20/0.53 tff(508,plain,
% 0.20/0.53 (![A: $i] : ((~in_environment(sk3, A)) | (~outcompetes(efficient_producers, first_movers, sk4(A)))) <=> ![A: $i] : ((~in_environment(sk3, A)) | (~outcompetes(efficient_producers, first_movers, sk4(A))))),
% 0.20/0.53 inference(rewrite,[status(thm)],[])).
% 0.20/0.53 tff(509,axiom,(![A: $i] : ((~in_environment(sk3, A)) | (~outcompetes(efficient_producers, first_movers, sk4(A))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_t4_80')).
% 0.20/0.53 tff(510,plain,
% 0.20/0.53 (![A: $i] : ((~in_environment(sk3, A)) | (~outcompetes(efficient_producers, first_movers, sk4(A))))),
% 0.20/0.53 inference(modus_ponens,[status(thm)],[509, 508])).
% 0.20/0.53 tff(511,plain,(
% 0.20/0.53 ![A: $i] : ((~in_environment(sk3, A)) | (~outcompetes(efficient_producers, first_movers, sk4(A))))),
% 0.20/0.53 inference(skolemize,[status(sab)],[510])).
% 0.20/0.53 tff(512,plain,
% 0.20/0.53 (![A: $i] : ((~in_environment(sk3, A)) | (~outcompetes(efficient_producers, first_movers, sk4(A))))),
% 0.20/0.54 inference(modus_ponens,[status(thm)],[511, 507])).
% 0.20/0.54 tff(513,plain,
% 0.20/0.54 (((~![A: $i] : ((~in_environment(sk3, A)) | (~outcompetes(efficient_producers, first_movers, sk4(A))))) | ((~in_environment(sk3, sk2(sk3))) | (~outcompetes(efficient_producers, first_movers, sk4(sk2(sk3)))))) <=> ((~![A: $i] : ((~in_environment(sk3, A)) | (~outcompetes(efficient_producers, first_movers, sk4(A))))) | (~in_environment(sk3, sk2(sk3))) | (~outcompetes(efficient_producers, first_movers, sk4(sk2(sk3)))))),
% 0.20/0.54 inference(rewrite,[status(thm)],[])).
% 0.20/0.54 tff(514,plain,
% 0.20/0.54 ((~![A: $i] : ((~in_environment(sk3, A)) | (~outcompetes(efficient_producers, first_movers, sk4(A))))) | ((~in_environment(sk3, sk2(sk3))) | (~outcompetes(efficient_producers, first_movers, sk4(sk2(sk3)))))),
% 0.20/0.54 inference(quant_inst,[status(thm)],[])).
% 0.20/0.54 tff(515,plain,
% 0.20/0.54 ((~![A: $i] : ((~in_environment(sk3, A)) | (~outcompetes(efficient_producers, first_movers, sk4(A))))) | (~in_environment(sk3, sk2(sk3))) | (~outcompetes(efficient_producers, first_movers, sk4(sk2(sk3))))),
% 0.20/0.54 inference(modus_ponens,[status(thm)],[514, 513])).
% 0.20/0.54 tff(516,plain,
% 0.20/0.54 (~outcompetes(efficient_producers, first_movers, sk4(sk2(sk3)))),
% 0.20/0.54 inference(unit_resolution,[status(thm)],[515, 512, 196])).
% 0.20/0.54 tff(517,plain,
% 0.20/0.54 (^[B: $i, D: $i, A: $i, C: $i] : refl(((~environment(A)) | outcompetes(C, B, D) | (~greater(zero, growth_rate(B, D))) | (~greater_or_equal(growth_rate(C, D), zero)) | (~subpopulations(B, C, A, D))) <=> ((~environment(A)) | outcompetes(C, B, D) | (~greater(zero, growth_rate(B, D))) | (~greater_or_equal(growth_rate(C, D), zero)) | (~subpopulations(B, C, A, D))))),
% 0.20/0.54 inference(bind,[status(th)],[])).
% 0.20/0.54 tff(518,plain,
% 0.20/0.54 (![B: $i, D: $i, A: $i, C: $i] : ((~environment(A)) | outcompetes(C, B, D) | (~greater(zero, growth_rate(B, D))) | (~greater_or_equal(growth_rate(C, D), zero)) | (~subpopulations(B, C, A, D))) <=> ![B: $i, D: $i, A: $i, C: $i] : ((~environment(A)) | outcompetes(C, B, D) | (~greater(zero, growth_rate(B, D))) | (~greater_or_equal(growth_rate(C, D), zero)) | (~subpopulations(B, C, A, D)))),
% 0.20/0.54 inference(quant_intro,[status(thm)],[517])).
% 0.20/0.54 tff(519,plain,
% 0.20/0.54 (![B: $i, D: $i, A: $i, C: $i] : ((~environment(A)) | outcompetes(C, B, D) | (~greater(zero, growth_rate(B, D))) | (~greater_or_equal(growth_rate(C, D), zero)) | (~subpopulations(B, C, A, D))) <=> ![B: $i, D: $i, A: $i, C: $i] : ((~environment(A)) | outcompetes(C, B, D) | (~greater(zero, growth_rate(B, D))) | (~greater_or_equal(growth_rate(C, D), zero)) | (~subpopulations(B, C, A, D)))),
% 0.20/0.54 inference(rewrite,[status(thm)],[])).
% 0.20/0.54 tff(520,plain,
% 0.20/0.54 (^[B: $i, D: $i, A: $i, C: $i] : trans(monotonicity(trans(monotonicity(rewrite((((~environment(A)) | (~subpopulations(B, C, A, D))) | (~greater_or_equal(growth_rate(C, D), zero))) <=> ((~environment(A)) | (~greater_or_equal(growth_rate(C, D), zero)) | (~subpopulations(B, C, A, D)))), (((((~environment(A)) | (~subpopulations(B, C, A, D))) | (~greater_or_equal(growth_rate(C, D), zero))) | (~greater(zero, growth_rate(B, D)))) <=> (((~environment(A)) | (~greater_or_equal(growth_rate(C, D), zero)) | (~subpopulations(B, C, A, D))) | (~greater(zero, growth_rate(B, D)))))), rewrite((((~environment(A)) | (~greater_or_equal(growth_rate(C, D), zero)) | (~subpopulations(B, C, A, D))) | (~greater(zero, growth_rate(B, D)))) <=> ((~environment(A)) | (~greater(zero, growth_rate(B, D))) | (~greater_or_equal(growth_rate(C, D), zero)) | (~subpopulations(B, C, A, D)))), (((((~environment(A)) | (~subpopulations(B, C, A, D))) | (~greater_or_equal(growth_rate(C, D), zero))) | (~greater(zero, growth_rate(B, D)))) <=> ((~environment(A)) | (~greater(zero, growth_rate(B, D))) | (~greater_or_equal(growth_rate(C, D), zero)) | (~subpopulations(B, C, A, D))))), ((((((~environment(A)) | (~subpopulations(B, C, A, D))) | (~greater_or_equal(growth_rate(C, D), zero))) | (~greater(zero, growth_rate(B, D)))) | outcompetes(C, B, D)) <=> (((~environment(A)) | (~greater(zero, growth_rate(B, D))) | (~greater_or_equal(growth_rate(C, D), zero)) | (~subpopulations(B, C, A, D))) | outcompetes(C, B, D)))), rewrite((((~environment(A)) | (~greater(zero, growth_rate(B, D))) | (~greater_or_equal(growth_rate(C, D), zero)) | (~subpopulations(B, C, A, D))) | outcompetes(C, B, D)) <=> ((~environment(A)) | outcompetes(C, B, D) | (~greater(zero, growth_rate(B, D))) | (~greater_or_equal(growth_rate(C, D), zero)) | (~subpopulations(B, C, A, D)))), ((((((~environment(A)) | (~subpopulations(B, C, A, D))) | (~greater_or_equal(growth_rate(C, D), zero))) | (~greater(zero, growth_rate(B, D)))) | outcompetes(C, B, D)) <=> ((~environment(A)) | outcompetes(C, B, D) | (~greater(zero, growth_rate(B, D))) | (~greater_or_equal(growth_rate(C, D), zero)) | (~subpopulations(B, C, A, D)))))),
% 0.20/0.54 inference(bind,[status(th)],[])).
% 0.20/0.54 tff(521,plain,
% 0.20/0.54 (![B: $i, D: $i, A: $i, C: $i] : (((((~environment(A)) | (~subpopulations(B, C, A, D))) | (~greater_or_equal(growth_rate(C, D), zero))) | (~greater(zero, growth_rate(B, D)))) | outcompetes(C, B, D)) <=> ![B: $i, D: $i, A: $i, C: $i] : ((~environment(A)) | outcompetes(C, B, D) | (~greater(zero, growth_rate(B, D))) | (~greater_or_equal(growth_rate(C, D), zero)) | (~subpopulations(B, C, A, D)))),
% 0.20/0.54 inference(quant_intro,[status(thm)],[520])).
% 0.20/0.54 tff(522,axiom,(![B: $i, D: $i, A: $i, C: $i] : (((((~environment(A)) | (~subpopulations(B, C, A, D))) | (~greater_or_equal(growth_rate(C, D), zero))) | (~greater(zero, growth_rate(B, D)))) | outcompetes(C, B, D))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','d2_64')).
% 0.20/0.54 tff(523,plain,
% 0.20/0.54 (![B: $i, D: $i, A: $i, C: $i] : ((~environment(A)) | outcompetes(C, B, D) | (~greater(zero, growth_rate(B, D))) | (~greater_or_equal(growth_rate(C, D), zero)) | (~subpopulations(B, C, A, D)))),
% 0.20/0.54 inference(modus_ponens,[status(thm)],[522, 521])).
% 0.20/0.54 tff(524,plain,
% 0.20/0.54 (![B: $i, D: $i, A: $i, C: $i] : ((~environment(A)) | outcompetes(C, B, D) | (~greater(zero, growth_rate(B, D))) | (~greater_or_equal(growth_rate(C, D), zero)) | (~subpopulations(B, C, A, D)))),
% 0.20/0.54 inference(modus_ponens,[status(thm)],[523, 519])).
% 0.20/0.54 tff(525,plain,(
% 0.20/0.54 ![B: $i, D: $i, A: $i, C: $i] : ((~environment(A)) | outcompetes(C, B, D) | (~greater(zero, growth_rate(B, D))) | (~greater_or_equal(growth_rate(C, D), zero)) | (~subpopulations(B, C, A, D)))),
% 0.20/0.54 inference(skolemize,[status(sab)],[524])).
% 0.20/0.54 tff(526,plain,
% 0.20/0.54 (![B: $i, D: $i, A: $i, C: $i] : ((~environment(A)) | outcompetes(C, B, D) | (~greater(zero, growth_rate(B, D))) | (~greater_or_equal(growth_rate(C, D), zero)) | (~subpopulations(B, C, A, D)))),
% 0.20/0.54 inference(modus_ponens,[status(thm)],[525, 518])).
% 0.20/0.54 tff(527,plain,
% 0.20/0.54 (((~![B: $i, D: $i, A: $i, C: $i] : ((~environment(A)) | outcompetes(C, B, D) | (~greater(zero, growth_rate(B, D))) | (~greater_or_equal(growth_rate(C, D), zero)) | (~subpopulations(B, C, A, D)))) | ((~environment(sk3)) | outcompetes(efficient_producers, first_movers, sk4(sk2(sk3))) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk2(sk3)))) | (~greater(zero, growth_rate(first_movers, sk4(sk2(sk3))))) | (~greater_or_equal(growth_rate(efficient_producers, sk4(sk2(sk3))), zero)))) <=> ((~![B: $i, D: $i, A: $i, C: $i] : ((~environment(A)) | outcompetes(C, B, D) | (~greater(zero, growth_rate(B, D))) | (~greater_or_equal(growth_rate(C, D), zero)) | (~subpopulations(B, C, A, D)))) | (~environment(sk3)) | outcompetes(efficient_producers, first_movers, sk4(sk2(sk3))) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk2(sk3)))) | (~greater(zero, growth_rate(first_movers, sk4(sk2(sk3))))) | (~greater_or_equal(growth_rate(efficient_producers, sk4(sk2(sk3))), zero)))),
% 0.20/0.54 inference(rewrite,[status(thm)],[])).
% 0.20/0.54 tff(528,plain,
% 0.20/0.54 (((~environment(sk3)) | outcompetes(efficient_producers, first_movers, sk4(sk2(sk3))) | (~greater(zero, growth_rate(first_movers, sk4(sk2(sk3))))) | (~greater_or_equal(growth_rate(efficient_producers, sk4(sk2(sk3))), zero)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk2(sk3))))) <=> ((~environment(sk3)) | outcompetes(efficient_producers, first_movers, sk4(sk2(sk3))) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk2(sk3)))) | (~greater(zero, growth_rate(first_movers, sk4(sk2(sk3))))) | (~greater_or_equal(growth_rate(efficient_producers, sk4(sk2(sk3))), zero)))),
% 0.20/0.54 inference(rewrite,[status(thm)],[])).
% 0.20/0.54 tff(529,plain,
% 0.20/0.54 (((~![B: $i, D: $i, A: $i, C: $i] : ((~environment(A)) | outcompetes(C, B, D) | (~greater(zero, growth_rate(B, D))) | (~greater_or_equal(growth_rate(C, D), zero)) | (~subpopulations(B, C, A, D)))) | ((~environment(sk3)) | outcompetes(efficient_producers, first_movers, sk4(sk2(sk3))) | (~greater(zero, growth_rate(first_movers, sk4(sk2(sk3))))) | (~greater_or_equal(growth_rate(efficient_producers, sk4(sk2(sk3))), zero)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk2(sk3)))))) <=> ((~![B: $i, D: $i, A: $i, C: $i] : ((~environment(A)) | outcompetes(C, B, D) | (~greater(zero, growth_rate(B, D))) | (~greater_or_equal(growth_rate(C, D), zero)) | (~subpopulations(B, C, A, D)))) | ((~environment(sk3)) | outcompetes(efficient_producers, first_movers, sk4(sk2(sk3))) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk2(sk3)))) | (~greater(zero, growth_rate(first_movers, sk4(sk2(sk3))))) | (~greater_or_equal(growth_rate(efficient_producers, sk4(sk2(sk3))), zero))))),
% 0.20/0.54 inference(monotonicity,[status(thm)],[528])).
% 0.20/0.54 tff(530,plain,
% 0.20/0.54 (((~![B: $i, D: $i, A: $i, C: $i] : ((~environment(A)) | outcompetes(C, B, D) | (~greater(zero, growth_rate(B, D))) | (~greater_or_equal(growth_rate(C, D), zero)) | (~subpopulations(B, C, A, D)))) | ((~environment(sk3)) | outcompetes(efficient_producers, first_movers, sk4(sk2(sk3))) | (~greater(zero, growth_rate(first_movers, sk4(sk2(sk3))))) | (~greater_or_equal(growth_rate(efficient_producers, sk4(sk2(sk3))), zero)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk2(sk3)))))) <=> ((~![B: $i, D: $i, A: $i, C: $i] : ((~environment(A)) | outcompetes(C, B, D) | (~greater(zero, growth_rate(B, D))) | (~greater_or_equal(growth_rate(C, D), zero)) | (~subpopulations(B, C, A, D)))) | (~environment(sk3)) | outcompetes(efficient_producers, first_movers, sk4(sk2(sk3))) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk2(sk3)))) | (~greater(zero, growth_rate(first_movers, sk4(sk2(sk3))))) | (~greater_or_equal(growth_rate(efficient_producers, sk4(sk2(sk3))), zero)))),
% 0.20/0.54 inference(transitivity,[status(thm)],[529, 527])).
% 0.20/0.54 tff(531,plain,
% 0.20/0.54 ((~![B: $i, D: $i, A: $i, C: $i] : ((~environment(A)) | outcompetes(C, B, D) | (~greater(zero, growth_rate(B, D))) | (~greater_or_equal(growth_rate(C, D), zero)) | (~subpopulations(B, C, A, D)))) | ((~environment(sk3)) | outcompetes(efficient_producers, first_movers, sk4(sk2(sk3))) | (~greater(zero, growth_rate(first_movers, sk4(sk2(sk3))))) | (~greater_or_equal(growth_rate(efficient_producers, sk4(sk2(sk3))), zero)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk2(sk3)))))),
% 0.20/0.54 inference(quant_inst,[status(thm)],[])).
% 0.20/0.54 tff(532,plain,
% 0.20/0.54 ((~![B: $i, D: $i, A: $i, C: $i] : ((~environment(A)) | outcompetes(C, B, D) | (~greater(zero, growth_rate(B, D))) | (~greater_or_equal(growth_rate(C, D), zero)) | (~subpopulations(B, C, A, D)))) | (~environment(sk3)) | outcompetes(efficient_producers, first_movers, sk4(sk2(sk3))) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk2(sk3)))) | (~greater(zero, growth_rate(first_movers, sk4(sk2(sk3))))) | (~greater_or_equal(growth_rate(efficient_producers, sk4(sk2(sk3))), zero))),
% 0.20/0.54 inference(modus_ponens,[status(thm)],[531, 530])).
% 0.20/0.54 tff(533,plain,
% 0.20/0.54 ((~greater(zero, growth_rate(first_movers, sk4(sk2(sk3))))) | (~greater_or_equal(growth_rate(efficient_producers, sk4(sk2(sk3))), zero))),
% 0.20/0.54 inference(unit_resolution,[status(thm)],[532, 526, 32, 516, 200])).
% 0.20/0.54 tff(534,plain,
% 0.20/0.54 (~greater_or_equal(growth_rate(efficient_producers, sk4(sk2(sk3))), zero)),
% 0.20/0.54 inference(unit_resolution,[status(thm)],[533, 497])).
% 0.20/0.54 tff(535,plain,
% 0.20/0.54 (((~![B: $i, A: $i] : ((~(A = B)) | greater_or_equal(A, B))) | ((~(growth_rate(efficient_producers, sk4(sk2(sk3))) = zero)) | greater_or_equal(growth_rate(efficient_producers, sk4(sk2(sk3))), zero))) <=> ((~![B: $i, A: $i] : ((~(A = B)) | greater_or_equal(A, B))) | (~(growth_rate(efficient_producers, sk4(sk2(sk3))) = zero)) | greater_or_equal(growth_rate(efficient_producers, sk4(sk2(sk3))), zero))),
% 0.20/0.54 inference(rewrite,[status(thm)],[])).
% 0.20/0.54 tff(536,plain,
% 0.20/0.54 ((~![B: $i, A: $i] : ((~(A = B)) | greater_or_equal(A, B))) | ((~(growth_rate(efficient_producers, sk4(sk2(sk3))) = zero)) | greater_or_equal(growth_rate(efficient_producers, sk4(sk2(sk3))), zero))),
% 0.20/0.54 inference(quant_inst,[status(thm)],[])).
% 0.20/0.54 tff(537,plain,
% 0.20/0.54 ((~![B: $i, A: $i] : ((~(A = B)) | greater_or_equal(A, B))) | (~(growth_rate(efficient_producers, sk4(sk2(sk3))) = zero)) | greater_or_equal(growth_rate(efficient_producers, sk4(sk2(sk3))), zero)),
% 0.20/0.54 inference(modus_ponens,[status(thm)],[536, 535])).
% 0.20/0.54 tff(538,plain,
% 0.20/0.54 (~(growth_rate(efficient_producers, sk4(sk2(sk3))) = zero)),
% 0.20/0.54 inference(unit_resolution,[status(thm)],[537, 8, 534])).
% 0.20/0.54 tff(539,plain,
% 0.20/0.54 (~constant(cardinality_at_time(efficient_producers, sk4(sk2(sk3))))),
% 0.20/0.54 inference(unit_resolution,[status(thm)],[368, 538])).
% 0.20/0.54 tff(540,plain,
% 0.20/0.54 (((~![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))) | ((~greater(growth_rate(efficient_producers, sk4(sk2(sk3))), zero)) | greater_or_equal(growth_rate(efficient_producers, sk4(sk2(sk3))), zero))) <=> ((~![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))) | (~greater(growth_rate(efficient_producers, sk4(sk2(sk3))), zero)) | greater_or_equal(growth_rate(efficient_producers, sk4(sk2(sk3))), zero))),
% 0.20/0.54 inference(rewrite,[status(thm)],[])).
% 0.20/0.54 tff(541,plain,
% 0.20/0.54 ((~![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))) | ((~greater(growth_rate(efficient_producers, sk4(sk2(sk3))), zero)) | greater_or_equal(growth_rate(efficient_producers, sk4(sk2(sk3))), zero))),
% 0.20/0.54 inference(quant_inst,[status(thm)],[])).
% 0.20/0.54 tff(542,plain,
% 0.20/0.54 ((~![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))) | (~greater(growth_rate(efficient_producers, sk4(sk2(sk3))), zero)) | greater_or_equal(growth_rate(efficient_producers, sk4(sk2(sk3))), zero)),
% 0.20/0.54 inference(modus_ponens,[status(thm)],[541, 540])).
% 0.20/0.54 tff(543,plain,
% 0.20/0.54 (~greater(growth_rate(efficient_producers, sk4(sk2(sk3))), zero)),
% 0.20/0.54 inference(unit_resolution,[status(thm)],[542, 19, 534])).
% 0.20/0.54 tff(544,plain,
% 0.20/0.54 (((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(growth_rate(C, B), zero) | (~increases(cardinality_at_time(C, B))))) | ((~environment(sk3)) | (~greater(cardinality_at_time(efficient_producers, sk4(sk2(sk3))), zero)) | (~in_environment(sk3, sk4(sk2(sk3)))) | (~subpopulation(efficient_producers, sk3, sk4(sk2(sk3)))) | greater(growth_rate(efficient_producers, sk4(sk2(sk3))), zero) | (~increases(cardinality_at_time(efficient_producers, sk4(sk2(sk3))))))) <=> ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(growth_rate(C, B), zero) | (~increases(cardinality_at_time(C, B))))) | (~environment(sk3)) | (~greater(cardinality_at_time(efficient_producers, sk4(sk2(sk3))), zero)) | (~in_environment(sk3, sk4(sk2(sk3)))) | (~subpopulation(efficient_producers, sk3, sk4(sk2(sk3)))) | greater(growth_rate(efficient_producers, sk4(sk2(sk3))), zero) | (~increases(cardinality_at_time(efficient_producers, sk4(sk2(sk3))))))),
% 0.20/0.54 inference(rewrite,[status(thm)],[])).
% 0.20/0.54 tff(545,plain,
% 0.20/0.54 (((~environment(sk3)) | (~greater(cardinality_at_time(efficient_producers, sk4(sk2(sk3))), zero)) | (~subpopulation(efficient_producers, sk3, sk4(sk2(sk3)))) | (~in_environment(sk3, sk4(sk2(sk3)))) | greater(growth_rate(efficient_producers, sk4(sk2(sk3))), zero) | (~increases(cardinality_at_time(efficient_producers, sk4(sk2(sk3)))))) <=> ((~environment(sk3)) | (~greater(cardinality_at_time(efficient_producers, sk4(sk2(sk3))), zero)) | (~in_environment(sk3, sk4(sk2(sk3)))) | (~subpopulation(efficient_producers, sk3, sk4(sk2(sk3)))) | greater(growth_rate(efficient_producers, sk4(sk2(sk3))), zero) | (~increases(cardinality_at_time(efficient_producers, sk4(sk2(sk3))))))),
% 0.20/0.54 inference(rewrite,[status(thm)],[])).
% 0.20/0.54 tff(546,plain,
% 0.20/0.54 (((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(growth_rate(C, B), zero) | (~increases(cardinality_at_time(C, B))))) | ((~environment(sk3)) | (~greater(cardinality_at_time(efficient_producers, sk4(sk2(sk3))), zero)) | (~subpopulation(efficient_producers, sk3, sk4(sk2(sk3)))) | (~in_environment(sk3, sk4(sk2(sk3)))) | greater(growth_rate(efficient_producers, sk4(sk2(sk3))), zero) | (~increases(cardinality_at_time(efficient_producers, sk4(sk2(sk3))))))) <=> ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(growth_rate(C, B), zero) | (~increases(cardinality_at_time(C, B))))) | ((~environment(sk3)) | (~greater(cardinality_at_time(efficient_producers, sk4(sk2(sk3))), zero)) | (~in_environment(sk3, sk4(sk2(sk3)))) | (~subpopulation(efficient_producers, sk3, sk4(sk2(sk3)))) | greater(growth_rate(efficient_producers, sk4(sk2(sk3))), zero) | (~increases(cardinality_at_time(efficient_producers, sk4(sk2(sk3)))))))),
% 0.20/0.54 inference(monotonicity,[status(thm)],[545])).
% 0.20/0.54 tff(547,plain,
% 0.20/0.54 (((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(growth_rate(C, B), zero) | (~increases(cardinality_at_time(C, B))))) | ((~environment(sk3)) | (~greater(cardinality_at_time(efficient_producers, sk4(sk2(sk3))), zero)) | (~subpopulation(efficient_producers, sk3, sk4(sk2(sk3)))) | (~in_environment(sk3, sk4(sk2(sk3)))) | greater(growth_rate(efficient_producers, sk4(sk2(sk3))), zero) | (~increases(cardinality_at_time(efficient_producers, sk4(sk2(sk3))))))) <=> ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(growth_rate(C, B), zero) | (~increases(cardinality_at_time(C, B))))) | (~environment(sk3)) | (~greater(cardinality_at_time(efficient_producers, sk4(sk2(sk3))), zero)) | (~in_environment(sk3, sk4(sk2(sk3)))) | (~subpopulation(efficient_producers, sk3, sk4(sk2(sk3)))) | greater(growth_rate(efficient_producers, sk4(sk2(sk3))), zero) | (~increases(cardinality_at_time(efficient_producers, sk4(sk2(sk3))))))),
% 0.20/0.54 inference(transitivity,[status(thm)],[546, 544])).
% 0.20/0.54 tff(548,plain,
% 0.20/0.54 ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(growth_rate(C, B), zero) | (~increases(cardinality_at_time(C, B))))) | ((~environment(sk3)) | (~greater(cardinality_at_time(efficient_producers, sk4(sk2(sk3))), zero)) | (~subpopulation(efficient_producers, sk3, sk4(sk2(sk3)))) | (~in_environment(sk3, sk4(sk2(sk3)))) | greater(growth_rate(efficient_producers, sk4(sk2(sk3))), zero) | (~increases(cardinality_at_time(efficient_producers, sk4(sk2(sk3))))))),
% 0.20/0.54 inference(quant_inst,[status(thm)],[])).
% 0.20/0.54 tff(549,plain,
% 0.20/0.54 ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(growth_rate(C, B), zero) | (~increases(cardinality_at_time(C, B))))) | (~environment(sk3)) | (~greater(cardinality_at_time(efficient_producers, sk4(sk2(sk3))), zero)) | (~in_environment(sk3, sk4(sk2(sk3)))) | (~subpopulation(efficient_producers, sk3, sk4(sk2(sk3)))) | greater(growth_rate(efficient_producers, sk4(sk2(sk3))), zero) | (~increases(cardinality_at_time(efficient_producers, sk4(sk2(sk3)))))),
% 0.20/0.54 inference(modus_ponens,[status(thm)],[548, 547])).
% 0.20/0.54 tff(550,plain,
% 0.20/0.54 (greater(growth_rate(efficient_producers, sk4(sk2(sk3))), zero) | (~increases(cardinality_at_time(efficient_producers, sk4(sk2(sk3)))))),
% 0.20/0.54 inference(unit_resolution,[status(thm)],[549, 418, 32, 361, 207, 221])).
% 0.20/0.54 tff(551,plain,
% 0.20/0.54 (~increases(cardinality_at_time(efficient_producers, sk4(sk2(sk3))))),
% 0.20/0.54 inference(unit_resolution,[status(thm)],[550, 543])).
% 0.20/0.54 tff(552,plain,
% 0.20/0.54 (^[B: $i, A: $i, C: $i] : refl((increases(B) | (~constant(A)) | (~(A = sum(B, C))) | increases(C) | constant(C)) <=> (increases(B) | (~constant(A)) | (~(A = sum(B, C))) | increases(C) | constant(C)))),
% 0.20/0.54 inference(bind,[status(th)],[])).
% 0.20/0.54 tff(553,plain,
% 0.20/0.54 (![B: $i, A: $i, C: $i] : (increases(B) | (~constant(A)) | (~(A = sum(B, C))) | increases(C) | constant(C)) <=> ![B: $i, A: $i, C: $i] : (increases(B) | (~constant(A)) | (~(A = sum(B, C))) | increases(C) | constant(C))),
% 0.20/0.54 inference(quant_intro,[status(thm)],[552])).
% 0.20/0.54 tff(554,plain,
% 0.20/0.54 (![B: $i, A: $i, C: $i] : (increases(B) | (~constant(A)) | (~(A = sum(B, C))) | increases(C) | constant(C)) <=> ![B: $i, A: $i, C: $i] : (increases(B) | (~constant(A)) | (~(A = sum(B, C))) | increases(C) | constant(C))),
% 0.20/0.54 inference(rewrite,[status(thm)],[])).
% 0.20/0.54 tff(555,plain,
% 0.20/0.54 (^[B: $i, A: $i, C: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~(A = sum(B, C))) | (~constant(A))) <=> ((~constant(A)) | (~(A = sum(B, C))))), ((((~(A = sum(B, C))) | (~constant(A))) | constant(C)) <=> (((~constant(A)) | (~(A = sum(B, C)))) | constant(C)))), rewrite((((~constant(A)) | (~(A = sum(B, C)))) | constant(C)) <=> ((~constant(A)) | (~(A = sum(B, C))) | constant(C))), ((((~(A = sum(B, C))) | (~constant(A))) | constant(C)) <=> ((~constant(A)) | (~(A = sum(B, C))) | constant(C)))), (((((~(A = sum(B, C))) | (~constant(A))) | constant(C)) | increases(B)) <=> (((~constant(A)) | (~(A = sum(B, C))) | constant(C)) | increases(B)))), rewrite((((~constant(A)) | (~(A = sum(B, C))) | constant(C)) | increases(B)) <=> (increases(B) | (~constant(A)) | (~(A = sum(B, C))) | constant(C))), (((((~(A = sum(B, C))) | (~constant(A))) | constant(C)) | increases(B)) <=> (increases(B) | (~constant(A)) | (~(A = sum(B, C))) | constant(C)))), ((((((~(A = sum(B, C))) | (~constant(A))) | constant(C)) | increases(B)) | increases(C)) <=> ((increases(B) | (~constant(A)) | (~(A = sum(B, C))) | constant(C)) | increases(C)))), rewrite(((increases(B) | (~constant(A)) | (~(A = sum(B, C))) | constant(C)) | increases(C)) <=> (increases(B) | (~constant(A)) | (~(A = sum(B, C))) | increases(C) | constant(C))), ((((((~(A = sum(B, C))) | (~constant(A))) | constant(C)) | increases(B)) | increases(C)) <=> (increases(B) | (~constant(A)) | (~(A = sum(B, C))) | increases(C) | constant(C))))),
% 0.20/0.54 inference(bind,[status(th)],[])).
% 0.20/0.54 tff(556,plain,
% 0.20/0.54 (![B: $i, A: $i, C: $i] : (((((~(A = sum(B, C))) | (~constant(A))) | constant(C)) | increases(B)) | increases(C)) <=> ![B: $i, A: $i, C: $i] : (increases(B) | (~constant(A)) | (~(A = sum(B, C))) | increases(C) | constant(C))),
% 0.20/0.54 inference(quant_intro,[status(thm)],[555])).
% 0.20/0.54 tff(557,axiom,(![B: $i, A: $i, C: $i] : (((((~(A = sum(B, C))) | (~constant(A))) | constant(C)) | increases(B)) | increases(C))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','mp_abc_sum_increase_48')).
% 0.20/0.54 tff(558,plain,
% 0.20/0.54 (![B: $i, A: $i, C: $i] : (increases(B) | (~constant(A)) | (~(A = sum(B, C))) | increases(C) | constant(C))),
% 0.20/0.54 inference(modus_ponens,[status(thm)],[557, 556])).
% 0.20/0.54 tff(559,plain,
% 0.20/0.54 (![B: $i, A: $i, C: $i] : (increases(B) | (~constant(A)) | (~(A = sum(B, C))) | increases(C) | constant(C))),
% 0.20/0.54 inference(modus_ponens,[status(thm)],[558, 554])).
% 0.20/0.54 tff(560,plain,(
% 0.20/0.54 ![B: $i, A: $i, C: $i] : (increases(B) | (~constant(A)) | (~(A = sum(B, C))) | increases(C) | constant(C))),
% 0.20/0.54 inference(skolemize,[status(sab)],[559])).
% 0.20/0.54 tff(561,plain,
% 0.20/0.54 (![B: $i, A: $i, C: $i] : (increases(B) | (~constant(A)) | (~(A = sum(B, C))) | increases(C) | constant(C))),
% 0.20/0.54 inference(modus_ponens,[status(thm)],[560, 553])).
% 0.20/0.54 tff(562,plain,
% 0.20/0.54 (((~![B: $i, A: $i, C: $i] : (increases(B) | (~constant(A)) | (~(A = sum(B, C))) | increases(C) | constant(C))) | (increases(cardinality_at_time(efficient_producers, sk4(sk2(sk3)))) | constant(cardinality_at_time(efficient_producers, sk4(sk2(sk3)))) | increases(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3)))))))) <=> ((~![B: $i, A: $i, C: $i] : (increases(B) | (~constant(A)) | (~(A = sum(B, C))) | increases(C) | constant(C))) | increases(cardinality_at_time(efficient_producers, sk4(sk2(sk3)))) | constant(cardinality_at_time(efficient_producers, sk4(sk2(sk3)))) | increases(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3)))))))),
% 0.20/0.55 inference(rewrite,[status(thm)],[])).
% 0.20/0.55 tff(563,plain,
% 0.20/0.55 ((increases(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3)))))) | $false | increases(cardinality_at_time(efficient_producers, sk4(sk2(sk3)))) | constant(cardinality_at_time(efficient_producers, sk4(sk2(sk3))))) <=> (increases(cardinality_at_time(efficient_producers, sk4(sk2(sk3)))) | constant(cardinality_at_time(efficient_producers, sk4(sk2(sk3)))) | increases(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3)))))))),
% 0.20/0.55 inference(rewrite,[status(thm)],[])).
% 0.20/0.55 tff(564,plain,
% 0.20/0.55 ((increases(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3)))))) | (~(sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3)))) = sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3)))))) | increases(cardinality_at_time(efficient_producers, sk4(sk2(sk3)))) | constant(cardinality_at_time(efficient_producers, sk4(sk2(sk3))))) <=> (increases(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3)))))) | $false | increases(cardinality_at_time(efficient_producers, sk4(sk2(sk3)))) | constant(cardinality_at_time(efficient_producers, sk4(sk2(sk3)))))),
% 0.20/0.55 inference(monotonicity,[status(thm)],[265])).
% 0.20/0.55 tff(565,plain,
% 0.20/0.55 ((increases(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3)))))) | (~(sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3)))) = sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3)))))) | increases(cardinality_at_time(efficient_producers, sk4(sk2(sk3)))) | constant(cardinality_at_time(efficient_producers, sk4(sk2(sk3))))) <=> (increases(cardinality_at_time(efficient_producers, sk4(sk2(sk3)))) | constant(cardinality_at_time(efficient_producers, sk4(sk2(sk3)))) | increases(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3)))))))),
% 0.20/0.55 inference(transitivity,[status(thm)],[564, 563])).
% 0.20/0.55 tff(566,plain,
% 0.20/0.55 (((~![B: $i, A: $i, C: $i] : (increases(B) | (~constant(A)) | (~(A = sum(B, C))) | increases(C) | constant(C))) | (increases(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3)))))) | (~(sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3)))) = sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3)))))) | increases(cardinality_at_time(efficient_producers, sk4(sk2(sk3)))) | constant(cardinality_at_time(efficient_producers, sk4(sk2(sk3)))))) <=> ((~![B: $i, A: $i, C: $i] : (increases(B) | (~constant(A)) | (~(A = sum(B, C))) | increases(C) | constant(C))) | (increases(cardinality_at_time(efficient_producers, sk4(sk2(sk3)))) | constant(cardinality_at_time(efficient_producers, sk4(sk2(sk3)))) | increases(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3))))))))),
% 0.20/0.55 inference(monotonicity,[status(thm)],[565])).
% 0.20/0.55 tff(567,plain,
% 0.20/0.55 (((~![B: $i, A: $i, C: $i] : (increases(B) | (~constant(A)) | (~(A = sum(B, C))) | increases(C) | constant(C))) | (increases(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3)))))) | (~(sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3)))) = sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3)))))) | increases(cardinality_at_time(efficient_producers, sk4(sk2(sk3)))) | constant(cardinality_at_time(efficient_producers, sk4(sk2(sk3)))))) <=> ((~![B: $i, A: $i, C: $i] : (increases(B) | (~constant(A)) | (~(A = sum(B, C))) | increases(C) | constant(C))) | increases(cardinality_at_time(efficient_producers, sk4(sk2(sk3)))) | constant(cardinality_at_time(efficient_producers, sk4(sk2(sk3)))) | increases(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3)))))))),
% 0.20/0.55 inference(transitivity,[status(thm)],[566, 562])).
% 0.20/0.55 tff(568,plain,
% 0.20/0.55 ((~![B: $i, A: $i, C: $i] : (increases(B) | (~constant(A)) | (~(A = sum(B, C))) | increases(C) | constant(C))) | (increases(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3)))))) | (~(sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3)))) = sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3)))))) | increases(cardinality_at_time(efficient_producers, sk4(sk2(sk3)))) | constant(cardinality_at_time(efficient_producers, sk4(sk2(sk3)))))),
% 0.20/0.55 inference(quant_inst,[status(thm)],[])).
% 0.20/0.55 tff(569,plain,
% 0.20/0.55 ((~![B: $i, A: $i, C: $i] : (increases(B) | (~constant(A)) | (~(A = sum(B, C))) | increases(C) | constant(C))) | increases(cardinality_at_time(efficient_producers, sk4(sk2(sk3)))) | constant(cardinality_at_time(efficient_producers, sk4(sk2(sk3)))) | increases(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3))))))),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[568, 567])).
% 0.20/0.55 tff(570,plain,
% 0.20/0.55 (increases(cardinality_at_time(efficient_producers, sk4(sk2(sk3)))) | constant(cardinality_at_time(efficient_producers, sk4(sk2(sk3)))) | increases(cardinality_at_time(first_movers, sk4(sk2(sk3))))),
% 0.20/0.55 inference(unit_resolution,[status(thm)],[569, 561, 248])).
% 0.20/0.55 tff(571,plain,
% 0.20/0.55 ($false),
% 0.20/0.55 inference(unit_resolution,[status(thm)],[570, 551, 539, 505])).
% 0.20/0.55 tff(572,plain,(~constant(sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3)))))), inference(lemma,lemma(discharge,[]))).
% 0.20/0.55 tff(573,plain,
% 0.20/0.55 (~constant(number_of_organizations(sk3, sk4(sk2(sk3))))),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[572, 247])).
% 0.20/0.55 tff(574,plain,
% 0.20/0.55 (^[B: $i, A: $i] : refl(((~environment(A)) | (~in_environment(A, B)) | constant(number_of_organizations(A, B)) | (~constant(resources(A, B)))) <=> ((~environment(A)) | (~in_environment(A, B)) | constant(number_of_organizations(A, B)) | (~constant(resources(A, B)))))),
% 0.20/0.55 inference(bind,[status(th)],[])).
% 0.20/0.55 tff(575,plain,
% 0.20/0.55 (![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | constant(number_of_organizations(A, B)) | (~constant(resources(A, B)))) <=> ![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | constant(number_of_organizations(A, B)) | (~constant(resources(A, B))))),
% 0.20/0.55 inference(quant_intro,[status(thm)],[574])).
% 0.20/0.55 tff(576,plain,
% 0.20/0.55 (![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | constant(number_of_organizations(A, B)) | (~constant(resources(A, B)))) <=> ![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | constant(number_of_organizations(A, B)) | (~constant(resources(A, B))))),
% 0.20/0.55 inference(rewrite,[status(thm)],[])).
% 0.20/0.55 tff(577,plain,
% 0.20/0.55 (^[B: $i, A: $i] : trans(monotonicity(rewrite((((~environment(A)) | (~in_environment(A, B))) | (~constant(resources(A, B)))) <=> ((~environment(A)) | (~in_environment(A, B)) | (~constant(resources(A, B))))), (((((~environment(A)) | (~in_environment(A, B))) | (~constant(resources(A, B)))) | constant(number_of_organizations(A, B))) <=> (((~environment(A)) | (~in_environment(A, B)) | (~constant(resources(A, B)))) | constant(number_of_organizations(A, B))))), rewrite((((~environment(A)) | (~in_environment(A, B)) | (~constant(resources(A, B)))) | constant(number_of_organizations(A, B))) <=> ((~environment(A)) | (~in_environment(A, B)) | constant(number_of_organizations(A, B)) | (~constant(resources(A, B))))), (((((~environment(A)) | (~in_environment(A, B))) | (~constant(resources(A, B)))) | constant(number_of_organizations(A, B))) <=> ((~environment(A)) | (~in_environment(A, B)) | constant(number_of_organizations(A, B)) | (~constant(resources(A, B))))))),
% 0.20/0.55 inference(bind,[status(th)],[])).
% 0.20/0.55 tff(578,plain,
% 0.20/0.55 (![B: $i, A: $i] : ((((~environment(A)) | (~in_environment(A, B))) | (~constant(resources(A, B)))) | constant(number_of_organizations(A, B))) <=> ![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | constant(number_of_organizations(A, B)) | (~constant(resources(A, B))))),
% 0.20/0.55 inference(quant_intro,[status(thm)],[577])).
% 0.20/0.55 tff(579,axiom,(![B: $i, A: $i] : ((((~environment(A)) | (~in_environment(A, B))) | (~constant(resources(A, B)))) | constant(number_of_organizations(A, B)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','a7_72')).
% 0.20/0.55 tff(580,plain,
% 0.20/0.55 (![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | constant(number_of_organizations(A, B)) | (~constant(resources(A, B))))),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[579, 578])).
% 0.20/0.55 tff(581,plain,
% 0.20/0.55 (![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | constant(number_of_organizations(A, B)) | (~constant(resources(A, B))))),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[580, 576])).
% 0.20/0.55 tff(582,plain,(
% 0.20/0.55 ![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | constant(number_of_organizations(A, B)) | (~constant(resources(A, B))))),
% 0.20/0.55 inference(skolemize,[status(sab)],[581])).
% 0.20/0.55 tff(583,plain,
% 0.20/0.55 (![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | constant(number_of_organizations(A, B)) | (~constant(resources(A, B))))),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[582, 575])).
% 0.20/0.55 tff(584,plain,
% 0.20/0.55 (((~![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | constant(number_of_organizations(A, B)) | (~constant(resources(A, B))))) | ((~environment(sk3)) | (~in_environment(sk3, sk4(sk2(sk3)))) | constant(number_of_organizations(sk3, sk4(sk2(sk3)))) | (~constant(resources(sk3, sk4(sk2(sk3))))))) <=> ((~![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | constant(number_of_organizations(A, B)) | (~constant(resources(A, B))))) | (~environment(sk3)) | (~in_environment(sk3, sk4(sk2(sk3)))) | constant(number_of_organizations(sk3, sk4(sk2(sk3)))) | (~constant(resources(sk3, sk4(sk2(sk3))))))),
% 0.20/0.55 inference(rewrite,[status(thm)],[])).
% 0.20/0.55 tff(585,plain,
% 0.20/0.55 ((~![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | constant(number_of_organizations(A, B)) | (~constant(resources(A, B))))) | ((~environment(sk3)) | (~in_environment(sk3, sk4(sk2(sk3)))) | constant(number_of_organizations(sk3, sk4(sk2(sk3)))) | (~constant(resources(sk3, sk4(sk2(sk3))))))),
% 0.20/0.55 inference(quant_inst,[status(thm)],[])).
% 0.20/0.55 tff(586,plain,
% 0.20/0.55 ((~![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | constant(number_of_organizations(A, B)) | (~constant(resources(A, B))))) | (~environment(sk3)) | (~in_environment(sk3, sk4(sk2(sk3)))) | constant(number_of_organizations(sk3, sk4(sk2(sk3)))) | (~constant(resources(sk3, sk4(sk2(sk3)))))),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[585, 584])).
% 0.20/0.55 tff(587,plain,
% 0.20/0.55 (constant(number_of_organizations(sk3, sk4(sk2(sk3)))) | (~constant(resources(sk3, sk4(sk2(sk3)))))),
% 0.20/0.55 inference(unit_resolution,[status(thm)],[586, 583, 32, 207])).
% 0.20/0.55 tff(588,plain,
% 0.20/0.55 (~constant(resources(sk3, sk4(sk2(sk3))))),
% 0.20/0.55 inference(unit_resolution,[status(thm)],[587, 573])).
% 0.20/0.55 tff(589,plain,
% 0.20/0.55 (^[B: $i, A: $i] : refl(((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(number_of_organizations(A, B), zero)) <=> ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(number_of_organizations(A, B), zero)))),
% 0.20/0.55 inference(bind,[status(th)],[])).
% 0.20/0.55 tff(590,plain,
% 0.20/0.55 (![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(number_of_organizations(A, B), zero)) <=> ![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(number_of_organizations(A, B), zero))),
% 0.20/0.55 inference(quant_intro,[status(thm)],[589])).
% 0.20/0.55 tff(591,plain,
% 0.20/0.55 (![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(number_of_organizations(A, B), zero)) <=> ![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(number_of_organizations(A, B), zero))),
% 0.20/0.55 inference(rewrite,[status(thm)],[])).
% 0.20/0.55 tff(592,plain,
% 0.20/0.55 (^[B: $i, A: $i] : rewrite((((~environment(A)) | (~subpopulations(first_movers, efficient_producers, A, B))) | greater(number_of_organizations(A, B), zero)) <=> ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(number_of_organizations(A, B), zero)))),
% 0.20/0.55 inference(bind,[status(th)],[])).
% 0.20/0.55 tff(593,plain,
% 0.20/0.55 (![B: $i, A: $i] : (((~environment(A)) | (~subpopulations(first_movers, efficient_producers, A, B))) | greater(number_of_organizations(A, B), zero)) <=> ![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(number_of_organizations(A, B), zero))),
% 0.20/0.55 inference(quant_intro,[status(thm)],[592])).
% 0.20/0.55 tff(594,axiom,(![B: $i, A: $i] : (((~environment(A)) | (~subpopulations(first_movers, efficient_producers, A, B))) | greater(number_of_organizations(A, B), zero))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','mp_environment_not_empty_37')).
% 0.20/0.55 tff(595,plain,
% 0.20/0.55 (![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(number_of_organizations(A, B), zero))),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[594, 593])).
% 0.20/0.55 tff(596,plain,
% 0.20/0.55 (![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(number_of_organizations(A, B), zero))),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[595, 591])).
% 0.20/0.55 tff(597,plain,(
% 0.20/0.55 ![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(number_of_organizations(A, B), zero))),
% 0.20/0.55 inference(skolemize,[status(sab)],[596])).
% 0.20/0.55 tff(598,plain,
% 0.20/0.55 (![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(number_of_organizations(A, B), zero))),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[597, 590])).
% 0.20/0.55 tff(599,plain,
% 0.20/0.55 (((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(number_of_organizations(A, B), zero))) | ((~environment(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk2(sk3)))) | greater(number_of_organizations(sk3, sk4(sk2(sk3))), zero))) <=> ((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(number_of_organizations(A, B), zero))) | (~environment(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk2(sk3)))) | greater(number_of_organizations(sk3, sk4(sk2(sk3))), zero))),
% 0.20/0.55 inference(rewrite,[status(thm)],[])).
% 0.20/0.55 tff(600,plain,
% 0.20/0.55 (((~subpopulations(first_movers, efficient_producers, sk3, sk4(sk2(sk3)))) | (~environment(sk3)) | greater(number_of_organizations(sk3, sk4(sk2(sk3))), zero)) <=> ((~environment(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk2(sk3)))) | greater(number_of_organizations(sk3, sk4(sk2(sk3))), zero))),
% 0.20/0.55 inference(rewrite,[status(thm)],[])).
% 0.20/0.55 tff(601,plain,
% 0.20/0.55 (((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(number_of_organizations(A, B), zero))) | ((~subpopulations(first_movers, efficient_producers, sk3, sk4(sk2(sk3)))) | (~environment(sk3)) | greater(number_of_organizations(sk3, sk4(sk2(sk3))), zero))) <=> ((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(number_of_organizations(A, B), zero))) | ((~environment(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk2(sk3)))) | greater(number_of_organizations(sk3, sk4(sk2(sk3))), zero)))),
% 0.20/0.55 inference(monotonicity,[status(thm)],[600])).
% 0.20/0.55 tff(602,plain,
% 0.20/0.55 (((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(number_of_organizations(A, B), zero))) | ((~subpopulations(first_movers, efficient_producers, sk3, sk4(sk2(sk3)))) | (~environment(sk3)) | greater(number_of_organizations(sk3, sk4(sk2(sk3))), zero))) <=> ((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(number_of_organizations(A, B), zero))) | (~environment(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk2(sk3)))) | greater(number_of_organizations(sk3, sk4(sk2(sk3))), zero))),
% 0.20/0.55 inference(transitivity,[status(thm)],[601, 599])).
% 0.20/0.55 tff(603,plain,
% 0.20/0.55 ((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(number_of_organizations(A, B), zero))) | ((~subpopulations(first_movers, efficient_producers, sk3, sk4(sk2(sk3)))) | (~environment(sk3)) | greater(number_of_organizations(sk3, sk4(sk2(sk3))), zero))),
% 0.20/0.55 inference(quant_inst,[status(thm)],[])).
% 0.20/0.55 tff(604,plain,
% 0.20/0.55 ((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(number_of_organizations(A, B), zero))) | (~environment(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk2(sk3)))) | greater(number_of_organizations(sk3, sk4(sk2(sk3))), zero)),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[603, 602])).
% 0.20/0.55 tff(605,plain,
% 0.20/0.55 (greater(number_of_organizations(sk3, sk4(sk2(sk3))), zero)),
% 0.20/0.55 inference(unit_resolution,[status(thm)],[604, 598, 32, 200])).
% 0.20/0.55 tff(606,plain,
% 0.20/0.55 (^[B: $i, A: $i] : refl(((~environment(A)) | (~in_environment(A, B)) | greater(equilibrium(A), B) | constant(resources(A, B)) | (~greater(number_of_organizations(A, B), zero))) <=> ((~environment(A)) | (~in_environment(A, B)) | greater(equilibrium(A), B) | constant(resources(A, B)) | (~greater(number_of_organizations(A, B), zero))))),
% 0.20/0.55 inference(bind,[status(th)],[])).
% 0.20/0.55 tff(607,plain,
% 0.20/0.55 (![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | greater(equilibrium(A), B) | constant(resources(A, B)) | (~greater(number_of_organizations(A, B), zero))) <=> ![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | greater(equilibrium(A), B) | constant(resources(A, B)) | (~greater(number_of_organizations(A, B), zero)))),
% 0.20/0.55 inference(quant_intro,[status(thm)],[606])).
% 0.20/0.55 tff(608,plain,
% 0.20/0.55 (![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | greater(equilibrium(A), B) | constant(resources(A, B)) | (~greater(number_of_organizations(A, B), zero))) <=> ![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | greater(equilibrium(A), B) | constant(resources(A, B)) | (~greater(number_of_organizations(A, B), zero)))),
% 0.20/0.55 inference(rewrite,[status(thm)],[])).
% 0.20/0.55 tff(609,plain,
% 0.20/0.55 (^[B: $i, A: $i] : trans(monotonicity(trans(monotonicity(rewrite((((~environment(A)) | (~in_environment(A, B))) | (~greater(number_of_organizations(A, B), zero))) <=> ((~environment(A)) | (~in_environment(A, B)) | (~greater(number_of_organizations(A, B), zero)))), (((((~environment(A)) | (~in_environment(A, B))) | (~greater(number_of_organizations(A, B), zero))) | greater(equilibrium(A), B)) <=> (((~environment(A)) | (~in_environment(A, B)) | (~greater(number_of_organizations(A, B), zero))) | greater(equilibrium(A), B)))), rewrite((((~environment(A)) | (~in_environment(A, B)) | (~greater(number_of_organizations(A, B), zero))) | greater(equilibrium(A), B)) <=> ((~environment(A)) | (~in_environment(A, B)) | greater(equilibrium(A), B) | (~greater(number_of_organizations(A, B), zero)))), (((((~environment(A)) | (~in_environment(A, B))) | (~greater(number_of_organizations(A, B), zero))) | greater(equilibrium(A), B)) <=> ((~environment(A)) | (~in_environment(A, B)) | greater(equilibrium(A), B) | (~greater(number_of_organizations(A, B), zero))))), ((((((~environment(A)) | (~in_environment(A, B))) | (~greater(number_of_organizations(A, B), zero))) | greater(equilibrium(A), B)) | constant(resources(A, B))) <=> (((~environment(A)) | (~in_environment(A, B)) | greater(equilibrium(A), B) | (~greater(number_of_organizations(A, B), zero))) | constant(resources(A, B))))), rewrite((((~environment(A)) | (~in_environment(A, B)) | greater(equilibrium(A), B) | (~greater(number_of_organizations(A, B), zero))) | constant(resources(A, B))) <=> ((~environment(A)) | (~in_environment(A, B)) | greater(equilibrium(A), B) | constant(resources(A, B)) | (~greater(number_of_organizations(A, B), zero)))), ((((((~environment(A)) | (~in_environment(A, B))) | (~greater(number_of_organizations(A, B), zero))) | greater(equilibrium(A), B)) | constant(resources(A, B))) <=> ((~environment(A)) | (~in_environment(A, B)) | greater(equilibrium(A), B) | constant(resources(A, B)) | (~greater(number_of_organizations(A, B), zero)))))),
% 0.20/0.55 inference(bind,[status(th)],[])).
% 0.20/0.55 tff(610,plain,
% 0.20/0.55 (![B: $i, A: $i] : (((((~environment(A)) | (~in_environment(A, B))) | (~greater(number_of_organizations(A, B), zero))) | greater(equilibrium(A), B)) | constant(resources(A, B))) <=> ![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | greater(equilibrium(A), B) | constant(resources(A, B)) | (~greater(number_of_organizations(A, B), zero)))),
% 0.20/0.55 inference(quant_intro,[status(thm)],[609])).
% 0.20/0.55 tff(611,axiom,(![B: $i, A: $i] : (((((~environment(A)) | (~in_environment(A, B))) | (~greater(number_of_organizations(A, B), zero))) | greater(equilibrium(A), B)) | constant(resources(A, B)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','a4_68')).
% 0.20/0.55 tff(612,plain,
% 0.20/0.55 (![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | greater(equilibrium(A), B) | constant(resources(A, B)) | (~greater(number_of_organizations(A, B), zero)))),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[611, 610])).
% 0.20/0.55 tff(613,plain,
% 0.20/0.55 (![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | greater(equilibrium(A), B) | constant(resources(A, B)) | (~greater(number_of_organizations(A, B), zero)))),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[612, 608])).
% 0.20/0.55 tff(614,plain,(
% 0.20/0.55 ![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | greater(equilibrium(A), B) | constant(resources(A, B)) | (~greater(number_of_organizations(A, B), zero)))),
% 0.20/0.55 inference(skolemize,[status(sab)],[613])).
% 0.20/0.55 tff(615,plain,
% 0.20/0.55 (![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | greater(equilibrium(A), B) | constant(resources(A, B)) | (~greater(number_of_organizations(A, B), zero)))),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[614, 607])).
% 0.20/0.55 tff(616,plain,
% 0.20/0.55 (((~![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | greater(equilibrium(A), B) | constant(resources(A, B)) | (~greater(number_of_organizations(A, B), zero)))) | ((~environment(sk3)) | (~greater(number_of_organizations(sk3, sk4(sk2(sk3))), zero)) | (~in_environment(sk3, sk4(sk2(sk3)))) | constant(resources(sk3, sk4(sk2(sk3)))) | greater(equilibrium(sk3), sk4(sk2(sk3))))) <=> ((~![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | greater(equilibrium(A), B) | constant(resources(A, B)) | (~greater(number_of_organizations(A, B), zero)))) | (~environment(sk3)) | (~greater(number_of_organizations(sk3, sk4(sk2(sk3))), zero)) | (~in_environment(sk3, sk4(sk2(sk3)))) | constant(resources(sk3, sk4(sk2(sk3)))) | greater(equilibrium(sk3), sk4(sk2(sk3))))),
% 0.20/0.55 inference(rewrite,[status(thm)],[])).
% 0.20/0.55 tff(617,plain,
% 0.20/0.55 (((~environment(sk3)) | (~in_environment(sk3, sk4(sk2(sk3)))) | greater(equilibrium(sk3), sk4(sk2(sk3))) | constant(resources(sk3, sk4(sk2(sk3)))) | (~greater(number_of_organizations(sk3, sk4(sk2(sk3))), zero))) <=> ((~environment(sk3)) | (~greater(number_of_organizations(sk3, sk4(sk2(sk3))), zero)) | (~in_environment(sk3, sk4(sk2(sk3)))) | constant(resources(sk3, sk4(sk2(sk3)))) | greater(equilibrium(sk3), sk4(sk2(sk3))))),
% 0.20/0.55 inference(rewrite,[status(thm)],[])).
% 0.20/0.55 tff(618,plain,
% 0.20/0.55 (((~![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | greater(equilibrium(A), B) | constant(resources(A, B)) | (~greater(number_of_organizations(A, B), zero)))) | ((~environment(sk3)) | (~in_environment(sk3, sk4(sk2(sk3)))) | greater(equilibrium(sk3), sk4(sk2(sk3))) | constant(resources(sk3, sk4(sk2(sk3)))) | (~greater(number_of_organizations(sk3, sk4(sk2(sk3))), zero)))) <=> ((~![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | greater(equilibrium(A), B) | constant(resources(A, B)) | (~greater(number_of_organizations(A, B), zero)))) | ((~environment(sk3)) | (~greater(number_of_organizations(sk3, sk4(sk2(sk3))), zero)) | (~in_environment(sk3, sk4(sk2(sk3)))) | constant(resources(sk3, sk4(sk2(sk3)))) | greater(equilibrium(sk3), sk4(sk2(sk3)))))),
% 0.20/0.55 inference(monotonicity,[status(thm)],[617])).
% 0.20/0.55 tff(619,plain,
% 0.20/0.55 (((~![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | greater(equilibrium(A), B) | constant(resources(A, B)) | (~greater(number_of_organizations(A, B), zero)))) | ((~environment(sk3)) | (~in_environment(sk3, sk4(sk2(sk3)))) | greater(equilibrium(sk3), sk4(sk2(sk3))) | constant(resources(sk3, sk4(sk2(sk3)))) | (~greater(number_of_organizations(sk3, sk4(sk2(sk3))), zero)))) <=> ((~![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | greater(equilibrium(A), B) | constant(resources(A, B)) | (~greater(number_of_organizations(A, B), zero)))) | (~environment(sk3)) | (~greater(number_of_organizations(sk3, sk4(sk2(sk3))), zero)) | (~in_environment(sk3, sk4(sk2(sk3)))) | constant(resources(sk3, sk4(sk2(sk3)))) | greater(equilibrium(sk3), sk4(sk2(sk3))))),
% 0.20/0.55 inference(transitivity,[status(thm)],[618, 616])).
% 0.20/0.55 tff(620,plain,
% 0.20/0.55 ((~![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | greater(equilibrium(A), B) | constant(resources(A, B)) | (~greater(number_of_organizations(A, B), zero)))) | ((~environment(sk3)) | (~in_environment(sk3, sk4(sk2(sk3)))) | greater(equilibrium(sk3), sk4(sk2(sk3))) | constant(resources(sk3, sk4(sk2(sk3)))) | (~greater(number_of_organizations(sk3, sk4(sk2(sk3))), zero)))),
% 0.20/0.55 inference(quant_inst,[status(thm)],[])).
% 0.20/0.55 tff(621,plain,
% 0.20/0.55 ((~![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | greater(equilibrium(A), B) | constant(resources(A, B)) | (~greater(number_of_organizations(A, B), zero)))) | (~environment(sk3)) | (~greater(number_of_organizations(sk3, sk4(sk2(sk3))), zero)) | (~in_environment(sk3, sk4(sk2(sk3)))) | constant(resources(sk3, sk4(sk2(sk3)))) | greater(equilibrium(sk3), sk4(sk2(sk3)))),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[620, 619])).
% 0.20/0.55 tff(622,plain,
% 0.20/0.55 (constant(resources(sk3, sk4(sk2(sk3)))) | greater(equilibrium(sk3), sk4(sk2(sk3)))),
% 0.20/0.55 inference(unit_resolution,[status(thm)],[621, 615, 32, 207, 605])).
% 0.20/0.55 tff(623,plain,
% 0.20/0.55 (greater(equilibrium(sk3), sk4(sk2(sk3)))),
% 0.20/0.55 inference(unit_resolution,[status(thm)],[622, 588])).
% 0.20/0.55 tff(624,assumption,(greater(sk4(sk2(sk3)), sk2(sk3))), introduced(assumption)).
% 0.20/0.55 tff(625,plain,
% 0.20/0.55 (((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(equilibrium(sk3), sk2(sk3)) | (~greater(equilibrium(sk3), sk4(sk2(sk3)))) | (~greater(sk4(sk2(sk3)), sk2(sk3))))) <=> ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | greater(equilibrium(sk3), sk2(sk3)) | (~greater(equilibrium(sk3), sk4(sk2(sk3)))) | (~greater(sk4(sk2(sk3)), sk2(sk3))))),
% 0.20/0.56 inference(rewrite,[status(thm)],[])).
% 0.20/0.56 tff(626,plain,
% 0.20/0.56 ((greater(equilibrium(sk3), sk2(sk3)) | (~greater(sk4(sk2(sk3)), sk2(sk3))) | (~greater(equilibrium(sk3), sk4(sk2(sk3))))) <=> (greater(equilibrium(sk3), sk2(sk3)) | (~greater(equilibrium(sk3), sk4(sk2(sk3)))) | (~greater(sk4(sk2(sk3)), sk2(sk3))))),
% 0.20/0.56 inference(rewrite,[status(thm)],[])).
% 0.20/0.56 tff(627,plain,
% 0.20/0.56 (((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(equilibrium(sk3), sk2(sk3)) | (~greater(sk4(sk2(sk3)), sk2(sk3))) | (~greater(equilibrium(sk3), sk4(sk2(sk3)))))) <=> ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(equilibrium(sk3), sk2(sk3)) | (~greater(equilibrium(sk3), sk4(sk2(sk3)))) | (~greater(sk4(sk2(sk3)), sk2(sk3)))))),
% 0.20/0.56 inference(monotonicity,[status(thm)],[626])).
% 0.20/0.56 tff(628,plain,
% 0.20/0.56 (((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(equilibrium(sk3), sk2(sk3)) | (~greater(sk4(sk2(sk3)), sk2(sk3))) | (~greater(equilibrium(sk3), sk4(sk2(sk3)))))) <=> ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | greater(equilibrium(sk3), sk2(sk3)) | (~greater(equilibrium(sk3), sk4(sk2(sk3)))) | (~greater(sk4(sk2(sk3)), sk2(sk3))))),
% 0.20/0.56 inference(transitivity,[status(thm)],[627, 625])).
% 0.20/0.56 tff(629,plain,
% 0.20/0.56 ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(equilibrium(sk3), sk2(sk3)) | (~greater(sk4(sk2(sk3)), sk2(sk3))) | (~greater(equilibrium(sk3), sk4(sk2(sk3)))))),
% 0.20/0.56 inference(quant_inst,[status(thm)],[])).
% 0.20/0.56 tff(630,plain,
% 0.20/0.56 ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | greater(equilibrium(sk3), sk2(sk3)) | (~greater(equilibrium(sk3), sk4(sk2(sk3)))) | (~greater(sk4(sk2(sk3)), sk2(sk3)))),
% 0.20/0.56 inference(modus_ponens,[status(thm)],[629, 628])).
% 0.20/0.56 tff(631,plain,
% 0.20/0.56 ($false),
% 0.20/0.56 inference(unit_resolution,[status(thm)],[630, 69, 182, 624, 623])).
% 0.20/0.56 tff(632,plain,((~greater(sk4(sk2(sk3)), sk2(sk3))) | greater(equilibrium(sk3), sk2(sk3))), inference(lemma,lemma(discharge,[]))).
% 0.20/0.56 tff(633,plain,
% 0.20/0.56 (~greater(sk4(sk2(sk3)), sk2(sk3))),
% 0.20/0.56 inference(unit_resolution,[status(thm)],[632, 182])).
% 0.20/0.56 tff(634,plain,
% 0.20/0.56 (((~![B: $i, A: $i] : ((A = B) | greater(A, B) | (~greater_or_equal(A, B)))) | ((~greater_or_equal(sk4(sk2(sk3)), sk2(sk3))) | (sk4(sk2(sk3)) = sk2(sk3)) | greater(sk4(sk2(sk3)), sk2(sk3)))) <=> ((~![B: $i, A: $i] : ((A = B) | greater(A, B) | (~greater_or_equal(A, B)))) | (~greater_or_equal(sk4(sk2(sk3)), sk2(sk3))) | (sk4(sk2(sk3)) = sk2(sk3)) | greater(sk4(sk2(sk3)), sk2(sk3)))),
% 0.20/0.56 inference(rewrite,[status(thm)],[])).
% 0.20/0.56 tff(635,plain,
% 0.20/0.56 (((sk4(sk2(sk3)) = sk2(sk3)) | greater(sk4(sk2(sk3)), sk2(sk3)) | (~greater_or_equal(sk4(sk2(sk3)), sk2(sk3)))) <=> ((~greater_or_equal(sk4(sk2(sk3)), sk2(sk3))) | (sk4(sk2(sk3)) = sk2(sk3)) | greater(sk4(sk2(sk3)), sk2(sk3)))),
% 0.20/0.56 inference(rewrite,[status(thm)],[])).
% 0.20/0.56 tff(636,plain,
% 0.20/0.56 (((~![B: $i, A: $i] : ((A = B) | greater(A, B) | (~greater_or_equal(A, B)))) | ((sk4(sk2(sk3)) = sk2(sk3)) | greater(sk4(sk2(sk3)), sk2(sk3)) | (~greater_or_equal(sk4(sk2(sk3)), sk2(sk3))))) <=> ((~![B: $i, A: $i] : ((A = B) | greater(A, B) | (~greater_or_equal(A, B)))) | ((~greater_or_equal(sk4(sk2(sk3)), sk2(sk3))) | (sk4(sk2(sk3)) = sk2(sk3)) | greater(sk4(sk2(sk3)), sk2(sk3))))),
% 0.20/0.56 inference(monotonicity,[status(thm)],[635])).
% 0.20/0.56 tff(637,plain,
% 0.20/0.56 (((~![B: $i, A: $i] : ((A = B) | greater(A, B) | (~greater_or_equal(A, B)))) | ((sk4(sk2(sk3)) = sk2(sk3)) | greater(sk4(sk2(sk3)), sk2(sk3)) | (~greater_or_equal(sk4(sk2(sk3)), sk2(sk3))))) <=> ((~![B: $i, A: $i] : ((A = B) | greater(A, B) | (~greater_or_equal(A, B)))) | (~greater_or_equal(sk4(sk2(sk3)), sk2(sk3))) | (sk4(sk2(sk3)) = sk2(sk3)) | greater(sk4(sk2(sk3)), sk2(sk3)))),
% 0.20/0.56 inference(transitivity,[status(thm)],[636, 634])).
% 0.20/0.56 tff(638,plain,
% 0.20/0.56 ((~![B: $i, A: $i] : ((A = B) | greater(A, B) | (~greater_or_equal(A, B)))) | ((sk4(sk2(sk3)) = sk2(sk3)) | greater(sk4(sk2(sk3)), sk2(sk3)) | (~greater_or_equal(sk4(sk2(sk3)), sk2(sk3))))),
% 0.20/0.56 inference(quant_inst,[status(thm)],[])).
% 0.20/0.56 tff(639,plain,
% 0.20/0.56 ((~![B: $i, A: $i] : ((A = B) | greater(A, B) | (~greater_or_equal(A, B)))) | (~greater_or_equal(sk4(sk2(sk3)), sk2(sk3))) | (sk4(sk2(sk3)) = sk2(sk3)) | greater(sk4(sk2(sk3)), sk2(sk3))),
% 0.20/0.56 inference(modus_ponens,[status(thm)],[638, 637])).
% 0.20/0.56 tff(640,plain,
% 0.20/0.56 ((sk4(sk2(sk3)) = sk2(sk3)) | greater(sk4(sk2(sk3)), sk2(sk3))),
% 0.20/0.56 inference(unit_resolution,[status(thm)],[639, 153, 374])).
% 0.20/0.56 tff(641,plain,
% 0.20/0.56 (sk4(sk2(sk3)) = sk2(sk3)),
% 0.20/0.56 inference(unit_resolution,[status(thm)],[640, 633])).
% 0.20/0.56 tff(642,plain,
% 0.20/0.56 (greater(equilibrium(sk3), sk4(sk2(sk3))) <=> greater(equilibrium(sk3), sk2(sk3))),
% 0.20/0.56 inference(monotonicity,[status(thm)],[641])).
% 0.20/0.56 tff(643,plain,
% 0.20/0.56 (greater(equilibrium(sk3), sk2(sk3)) <=> greater(equilibrium(sk3), sk4(sk2(sk3)))),
% 0.20/0.56 inference(symmetry,[status(thm)],[642])).
% 0.20/0.56 tff(644,plain,
% 0.20/0.56 ((~greater(equilibrium(sk3), sk2(sk3))) <=> (~greater(equilibrium(sk3), sk4(sk2(sk3))))),
% 0.20/0.56 inference(monotonicity,[status(thm)],[643])).
% 0.20/0.56 tff(645,plain,
% 0.20/0.56 (~greater(equilibrium(sk3), sk4(sk2(sk3)))),
% 0.20/0.56 inference(modus_ponens,[status(thm)],[182, 644])).
% 0.20/0.56 tff(646,plain,
% 0.20/0.56 ($false),
% 0.20/0.56 inference(unit_resolution,[status(thm)],[623, 645])).
% 0.20/0.56 tff(647,plain,(greater(equilibrium(sk3), sk2(sk3))), inference(lemma,lemma(discharge,[]))).
% 0.20/0.56 tff(648,plain,
% 0.20/0.56 (((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | ((~greater(equilibrium(sk3), sk2(sk3))) | greater(equilibrium(sk3), sk4(sk4(sk1(sk3)))) | (~greater(sk2(sk3), sk4(sk4(sk1(sk3))))))) <=> ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (~greater(equilibrium(sk3), sk2(sk3))) | greater(equilibrium(sk3), sk4(sk4(sk1(sk3)))) | (~greater(sk2(sk3), sk4(sk4(sk1(sk3))))))),
% 0.20/0.56 inference(rewrite,[status(thm)],[])).
% 0.20/0.56 tff(649,plain,
% 0.20/0.56 ((greater(equilibrium(sk3), sk4(sk4(sk1(sk3)))) | (~greater(sk2(sk3), sk4(sk4(sk1(sk3))))) | (~greater(equilibrium(sk3), sk2(sk3)))) <=> ((~greater(equilibrium(sk3), sk2(sk3))) | greater(equilibrium(sk3), sk4(sk4(sk1(sk3)))) | (~greater(sk2(sk3), sk4(sk4(sk1(sk3))))))),
% 0.20/0.56 inference(rewrite,[status(thm)],[])).
% 0.20/0.56 tff(650,plain,
% 0.20/0.56 (((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(equilibrium(sk3), sk4(sk4(sk1(sk3)))) | (~greater(sk2(sk3), sk4(sk4(sk1(sk3))))) | (~greater(equilibrium(sk3), sk2(sk3))))) <=> ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | ((~greater(equilibrium(sk3), sk2(sk3))) | greater(equilibrium(sk3), sk4(sk4(sk1(sk3)))) | (~greater(sk2(sk3), sk4(sk4(sk1(sk3)))))))),
% 0.20/0.56 inference(monotonicity,[status(thm)],[649])).
% 0.20/0.56 tff(651,plain,
% 0.20/0.56 (((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(equilibrium(sk3), sk4(sk4(sk1(sk3)))) | (~greater(sk2(sk3), sk4(sk4(sk1(sk3))))) | (~greater(equilibrium(sk3), sk2(sk3))))) <=> ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (~greater(equilibrium(sk3), sk2(sk3))) | greater(equilibrium(sk3), sk4(sk4(sk1(sk3)))) | (~greater(sk2(sk3), sk4(sk4(sk1(sk3))))))),
% 0.20/0.56 inference(transitivity,[status(thm)],[650, 648])).
% 0.20/0.56 tff(652,plain,
% 0.20/0.56 ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(equilibrium(sk3), sk4(sk4(sk1(sk3)))) | (~greater(sk2(sk3), sk4(sk4(sk1(sk3))))) | (~greater(equilibrium(sk3), sk2(sk3))))),
% 0.20/0.56 inference(quant_inst,[status(thm)],[])).
% 0.20/0.56 tff(653,plain,
% 0.20/0.56 ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (~greater(equilibrium(sk3), sk2(sk3))) | greater(equilibrium(sk3), sk4(sk4(sk1(sk3)))) | (~greater(sk2(sk3), sk4(sk4(sk1(sk3)))))),
% 0.20/0.56 inference(modus_ponens,[status(thm)],[652, 651])).
% 0.20/0.56 tff(654,plain,
% 0.20/0.56 ($false),
% 0.20/0.56 inference(unit_resolution,[status(thm)],[653, 69, 647, 181, 24])).
% 0.20/0.56 tff(655,plain,(~greater(sk2(sk3), sk4(sk4(sk1(sk3))))), inference(lemma,lemma(discharge,[]))).
% 0.20/0.56 tff(656,plain,
% 0.20/0.56 (((~![A: $i] : ((~in_environment(sk3, A)) | subpopulations(first_movers, efficient_producers, sk3, sk4(A)))) | ((~in_environment(sk3, sk4(sk1(sk3)))) | subpopulations(first_movers, efficient_producers, sk3, sk4(sk4(sk1(sk3)))))) <=> ((~![A: $i] : ((~in_environment(sk3, A)) | subpopulations(first_movers, efficient_producers, sk3, sk4(A)))) | (~in_environment(sk3, sk4(sk1(sk3)))) | subpopulations(first_movers, efficient_producers, sk3, sk4(sk4(sk1(sk3)))))),
% 0.20/0.56 inference(rewrite,[status(thm)],[])).
% 0.20/0.56 tff(657,plain,
% 0.20/0.56 ((~![A: $i] : ((~in_environment(sk3, A)) | subpopulations(first_movers, efficient_producers, sk3, sk4(A)))) | ((~in_environment(sk3, sk4(sk1(sk3)))) | subpopulations(first_movers, efficient_producers, sk3, sk4(sk4(sk1(sk3)))))),
% 0.20/0.56 inference(quant_inst,[status(thm)],[])).
% 0.20/0.56 tff(658,plain,
% 0.20/0.56 ((~![A: $i] : ((~in_environment(sk3, A)) | subpopulations(first_movers, efficient_producers, sk3, sk4(A)))) | (~in_environment(sk3, sk4(sk1(sk3)))) | subpopulations(first_movers, efficient_producers, sk3, sk4(sk4(sk1(sk3))))),
% 0.20/0.56 inference(modus_ponens,[status(thm)],[657, 656])).
% 0.20/0.56 tff(659,plain,
% 0.20/0.56 (subpopulations(first_movers, efficient_producers, sk3, sk4(sk4(sk1(sk3))))),
% 0.20/0.56 inference(unit_resolution,[status(thm)],[658, 111, 132])).
% 0.20/0.56 tff(660,plain,
% 0.20/0.56 (((~![B: $i, A: $i] : (in_environment(A, B) | (~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)))) | ((~environment(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | in_environment(sk3, sk4(sk4(sk1(sk3)))))) <=> ((~![B: $i, A: $i] : (in_environment(A, B) | (~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)))) | (~environment(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | in_environment(sk3, sk4(sk4(sk1(sk3)))))),
% 0.20/0.56 inference(rewrite,[status(thm)],[])).
% 0.20/0.56 tff(661,plain,
% 0.20/0.56 ((in_environment(sk3, sk4(sk4(sk1(sk3)))) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | (~environment(sk3))) <=> ((~environment(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | in_environment(sk3, sk4(sk4(sk1(sk3)))))),
% 0.20/0.56 inference(rewrite,[status(thm)],[])).
% 0.20/0.56 tff(662,plain,
% 0.20/0.56 (((~![B: $i, A: $i] : (in_environment(A, B) | (~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)))) | (in_environment(sk3, sk4(sk4(sk1(sk3)))) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | (~environment(sk3)))) <=> ((~![B: $i, A: $i] : (in_environment(A, B) | (~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)))) | ((~environment(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | in_environment(sk3, sk4(sk4(sk1(sk3))))))),
% 0.20/0.56 inference(monotonicity,[status(thm)],[661])).
% 0.20/0.56 tff(663,plain,
% 0.20/0.56 (((~![B: $i, A: $i] : (in_environment(A, B) | (~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)))) | (in_environment(sk3, sk4(sk4(sk1(sk3)))) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | (~environment(sk3)))) <=> ((~![B: $i, A: $i] : (in_environment(A, B) | (~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)))) | (~environment(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | in_environment(sk3, sk4(sk4(sk1(sk3)))))),
% 0.20/0.56 inference(transitivity,[status(thm)],[662, 660])).
% 0.20/0.56 tff(664,plain,
% 0.20/0.56 ((~![B: $i, A: $i] : (in_environment(A, B) | (~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)))) | (in_environment(sk3, sk4(sk4(sk1(sk3)))) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | (~environment(sk3)))),
% 0.20/0.56 inference(quant_inst,[status(thm)],[])).
% 0.20/0.56 tff(665,plain,
% 0.20/0.56 ((~![B: $i, A: $i] : (in_environment(A, B) | (~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)))) | (~environment(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | in_environment(sk3, sk4(sk4(sk1(sk3))))),
% 0.20/0.56 inference(modus_ponens,[status(thm)],[664, 663])).
% 0.20/0.56 tff(666,plain,
% 0.20/0.56 (in_environment(sk3, sk4(sk4(sk1(sk3))))),
% 0.20/0.56 inference(unit_resolution,[status(thm)],[665, 125, 32, 659])).
% 0.20/0.56 tff(667,plain,
% 0.20/0.56 (^[B: $i, A: $i, C: $i] : refl(((~in_environment(A, B)) | greater(B, C) | (C = B) | greater(C, B) | (~in_environment(A, C))) <=> ((~in_environment(A, B)) | greater(B, C) | (C = B) | greater(C, B) | (~in_environment(A, C))))),
% 0.20/0.56 inference(bind,[status(th)],[])).
% 0.20/0.56 tff(668,plain,
% 0.20/0.56 (![B: $i, A: $i, C: $i] : ((~in_environment(A, B)) | greater(B, C) | (C = B) | greater(C, B) | (~in_environment(A, C))) <=> ![B: $i, A: $i, C: $i] : ((~in_environment(A, B)) | greater(B, C) | (C = B) | greater(C, B) | (~in_environment(A, C)))),
% 0.20/0.56 inference(quant_intro,[status(thm)],[667])).
% 0.20/0.56 tff(669,plain,
% 0.20/0.56 (![B: $i, A: $i, C: $i] : ((~in_environment(A, B)) | greater(B, C) | (C = B) | greater(C, B) | (~in_environment(A, C))) <=> ![B: $i, A: $i, C: $i] : ((~in_environment(A, B)) | greater(B, C) | (C = B) | greater(C, B) | (~in_environment(A, C)))),
% 0.20/0.56 inference(rewrite,[status(thm)],[])).
% 0.20/0.56 tff(670,plain,
% 0.20/0.56 (^[B: $i, A: $i, C: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~in_environment(A, B)) | (~in_environment(A, C))) <=> ((~in_environment(A, B)) | (~in_environment(A, C)))), ((((~in_environment(A, B)) | (~in_environment(A, C))) | greater(C, B)) <=> (((~in_environment(A, B)) | (~in_environment(A, C))) | greater(C, B)))), rewrite((((~in_environment(A, B)) | (~in_environment(A, C))) | greater(C, B)) <=> ((~in_environment(A, B)) | greater(C, B) | (~in_environment(A, C)))), ((((~in_environment(A, B)) | (~in_environment(A, C))) | greater(C, B)) <=> ((~in_environment(A, B)) | greater(C, B) | (~in_environment(A, C))))), (((((~in_environment(A, B)) | (~in_environment(A, C))) | greater(C, B)) | (C = B)) <=> (((~in_environment(A, B)) | greater(C, B) | (~in_environment(A, C))) | (C = B)))), rewrite((((~in_environment(A, B)) | greater(C, B) | (~in_environment(A, C))) | (C = B)) <=> ((~in_environment(A, B)) | (C = B) | greater(C, B) | (~in_environment(A, C)))), (((((~in_environment(A, B)) | (~in_environment(A, C))) | greater(C, B)) | (C = B)) <=> ((~in_environment(A, B)) | (C = B) | greater(C, B) | (~in_environment(A, C))))), ((((((~in_environment(A, B)) | (~in_environment(A, C))) | greater(C, B)) | (C = B)) | greater(B, C)) <=> (((~in_environment(A, B)) | (C = B) | greater(C, B) | (~in_environment(A, C))) | greater(B, C)))), rewrite((((~in_environment(A, B)) | (C = B) | greater(C, B) | (~in_environment(A, C))) | greater(B, C)) <=> ((~in_environment(A, B)) | greater(B, C) | (C = B) | greater(C, B) | (~in_environment(A, C)))), ((((((~in_environment(A, B)) | (~in_environment(A, C))) | greater(C, B)) | (C = B)) | greater(B, C)) <=> ((~in_environment(A, B)) | greater(B, C) | (C = B) | greater(C, B) | (~in_environment(A, C)))))),
% 0.20/0.56 inference(bind,[status(th)],[])).
% 0.20/0.56 tff(671,plain,
% 0.20/0.56 (![B: $i, A: $i, C: $i] : (((((~in_environment(A, B)) | (~in_environment(A, C))) | greater(C, B)) | (C = B)) | greater(B, C)) <=> ![B: $i, A: $i, C: $i] : ((~in_environment(A, B)) | greater(B, C) | (C = B) | greater(C, B) | (~in_environment(A, C)))),
% 0.20/0.56 inference(quant_intro,[status(thm)],[670])).
% 0.20/0.56 tff(672,axiom,(![B: $i, A: $i, C: $i] : (((((~in_environment(A, B)) | (~in_environment(A, C))) | greater(C, B)) | (C = B)) | greater(B, C))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','mp_times_in_environment_59')).
% 0.20/0.56 tff(673,plain,
% 0.20/0.56 (![B: $i, A: $i, C: $i] : ((~in_environment(A, B)) | greater(B, C) | (C = B) | greater(C, B) | (~in_environment(A, C)))),
% 0.20/0.56 inference(modus_ponens,[status(thm)],[672, 671])).
% 0.20/0.56 tff(674,plain,
% 0.20/0.56 (![B: $i, A: $i, C: $i] : ((~in_environment(A, B)) | greater(B, C) | (C = B) | greater(C, B) | (~in_environment(A, C)))),
% 0.20/0.56 inference(modus_ponens,[status(thm)],[673, 669])).
% 0.20/0.56 tff(675,plain,(
% 0.20/0.56 ![B: $i, A: $i, C: $i] : ((~in_environment(A, B)) | greater(B, C) | (C = B) | greater(C, B) | (~in_environment(A, C)))),
% 0.20/0.56 inference(skolemize,[status(sab)],[674])).
% 0.20/0.56 tff(676,plain,
% 0.20/0.56 (![B: $i, A: $i, C: $i] : ((~in_environment(A, B)) | greater(B, C) | (C = B) | greater(C, B) | (~in_environment(A, C)))),
% 0.20/0.56 inference(modus_ponens,[status(thm)],[675, 668])).
% 0.20/0.56 tff(677,plain,
% 0.20/0.56 (((~![B: $i, A: $i, C: $i] : ((~in_environment(A, B)) | greater(B, C) | (C = B) | greater(C, B) | (~in_environment(A, C)))) | ((~in_environment(sk3, sk2(sk3))) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | (sk4(sk4(sk1(sk3))) = sk2(sk3)) | greater(sk4(sk4(sk1(sk3))), sk2(sk3)) | greater(sk2(sk3), sk4(sk4(sk1(sk3)))))) <=> ((~![B: $i, A: $i, C: $i] : ((~in_environment(A, B)) | greater(B, C) | (C = B) | greater(C, B) | (~in_environment(A, C)))) | (~in_environment(sk3, sk2(sk3))) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | (sk4(sk4(sk1(sk3))) = sk2(sk3)) | greater(sk4(sk4(sk1(sk3))), sk2(sk3)) | greater(sk2(sk3), sk4(sk4(sk1(sk3)))))),
% 0.20/0.56 inference(rewrite,[status(thm)],[])).
% 0.20/0.56 tff(678,plain,
% 0.20/0.56 (((~in_environment(sk3, sk2(sk3))) | greater(sk2(sk3), sk4(sk4(sk1(sk3)))) | (sk4(sk4(sk1(sk3))) = sk2(sk3)) | greater(sk4(sk4(sk1(sk3))), sk2(sk3)) | (~in_environment(sk3, sk4(sk4(sk1(sk3)))))) <=> ((~in_environment(sk3, sk2(sk3))) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | (sk4(sk4(sk1(sk3))) = sk2(sk3)) | greater(sk4(sk4(sk1(sk3))), sk2(sk3)) | greater(sk2(sk3), sk4(sk4(sk1(sk3)))))),
% 0.20/0.56 inference(rewrite,[status(thm)],[])).
% 0.20/0.56 tff(679,plain,
% 0.20/0.56 (((~![B: $i, A: $i, C: $i] : ((~in_environment(A, B)) | greater(B, C) | (C = B) | greater(C, B) | (~in_environment(A, C)))) | ((~in_environment(sk3, sk2(sk3))) | greater(sk2(sk3), sk4(sk4(sk1(sk3)))) | (sk4(sk4(sk1(sk3))) = sk2(sk3)) | greater(sk4(sk4(sk1(sk3))), sk2(sk3)) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))))) <=> ((~![B: $i, A: $i, C: $i] : ((~in_environment(A, B)) | greater(B, C) | (C = B) | greater(C, B) | (~in_environment(A, C)))) | ((~in_environment(sk3, sk2(sk3))) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | (sk4(sk4(sk1(sk3))) = sk2(sk3)) | greater(sk4(sk4(sk1(sk3))), sk2(sk3)) | greater(sk2(sk3), sk4(sk4(sk1(sk3))))))),
% 0.20/0.56 inference(monotonicity,[status(thm)],[678])).
% 0.20/0.56 tff(680,plain,
% 0.20/0.56 (((~![B: $i, A: $i, C: $i] : ((~in_environment(A, B)) | greater(B, C) | (C = B) | greater(C, B) | (~in_environment(A, C)))) | ((~in_environment(sk3, sk2(sk3))) | greater(sk2(sk3), sk4(sk4(sk1(sk3)))) | (sk4(sk4(sk1(sk3))) = sk2(sk3)) | greater(sk4(sk4(sk1(sk3))), sk2(sk3)) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))))) <=> ((~![B: $i, A: $i, C: $i] : ((~in_environment(A, B)) | greater(B, C) | (C = B) | greater(C, B) | (~in_environment(A, C)))) | (~in_environment(sk3, sk2(sk3))) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | (sk4(sk4(sk1(sk3))) = sk2(sk3)) | greater(sk4(sk4(sk1(sk3))), sk2(sk3)) | greater(sk2(sk3), sk4(sk4(sk1(sk3)))))),
% 0.20/0.56 inference(transitivity,[status(thm)],[679, 677])).
% 0.20/0.56 tff(681,plain,
% 0.20/0.56 ((~![B: $i, A: $i, C: $i] : ((~in_environment(A, B)) | greater(B, C) | (C = B) | greater(C, B) | (~in_environment(A, C)))) | ((~in_environment(sk3, sk2(sk3))) | greater(sk2(sk3), sk4(sk4(sk1(sk3)))) | (sk4(sk4(sk1(sk3))) = sk2(sk3)) | greater(sk4(sk4(sk1(sk3))), sk2(sk3)) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))))),
% 0.20/0.56 inference(quant_inst,[status(thm)],[])).
% 0.20/0.56 tff(682,plain,
% 0.20/0.56 ((~![B: $i, A: $i, C: $i] : ((~in_environment(A, B)) | greater(B, C) | (C = B) | greater(C, B) | (~in_environment(A, C)))) | (~in_environment(sk3, sk2(sk3))) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | (sk4(sk4(sk1(sk3))) = sk2(sk3)) | greater(sk4(sk4(sk1(sk3))), sk2(sk3)) | greater(sk2(sk3), sk4(sk4(sk1(sk3))))),
% 0.20/0.56 inference(modus_ponens,[status(thm)],[681, 680])).
% 0.20/0.56 tff(683,plain,
% 0.20/0.56 ((sk4(sk4(sk1(sk3))) = sk2(sk3)) | greater(sk4(sk4(sk1(sk3))), sk2(sk3))),
% 0.20/0.56 inference(unit_resolution,[status(thm)],[682, 676, 196, 666, 655])).
% 0.20/0.56 tff(684,plain,
% 0.20/0.56 ($false),
% 0.20/0.56 inference(unit_resolution,[status(thm)],[683, 23, 12])).
% 0.20/0.56 tff(685,plain,(greater_or_equal(sk4(sk4(sk1(sk3))), sk2(sk3))), inference(lemma,lemma(discharge,[]))).
% 0.20/0.56 tff(686,plain,
% 0.20/0.56 (((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (~stable(A)) | greater(growth_rate(efficient_producers, B), growth_rate(first_movers, B)) | (~greater_or_equal(B, sk2(A))))) | ((~environment(sk3)) | (~stable(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | greater(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), growth_rate(first_movers, sk4(sk4(sk1(sk3))))) | (~greater_or_equal(sk4(sk4(sk1(sk3))), sk2(sk3))))) <=> ((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (~stable(A)) | greater(growth_rate(efficient_producers, B), growth_rate(first_movers, B)) | (~greater_or_equal(B, sk2(A))))) | (~environment(sk3)) | (~stable(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | greater(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), growth_rate(first_movers, sk4(sk4(sk1(sk3))))) | (~greater_or_equal(sk4(sk4(sk1(sk3))), sk2(sk3))))),
% 0.20/0.56 inference(rewrite,[status(thm)],[])).
% 0.20/0.56 tff(687,plain,
% 0.20/0.56 (((~subpopulations(first_movers, efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | (~environment(sk3)) | (~stable(sk3)) | greater(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), growth_rate(first_movers, sk4(sk4(sk1(sk3))))) | (~greater_or_equal(sk4(sk4(sk1(sk3))), sk2(sk3)))) <=> ((~environment(sk3)) | (~stable(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | greater(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), growth_rate(first_movers, sk4(sk4(sk1(sk3))))) | (~greater_or_equal(sk4(sk4(sk1(sk3))), sk2(sk3))))),
% 0.20/0.56 inference(rewrite,[status(thm)],[])).
% 0.20/0.56 tff(688,plain,
% 0.20/0.56 (((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (~stable(A)) | greater(growth_rate(efficient_producers, B), growth_rate(first_movers, B)) | (~greater_or_equal(B, sk2(A))))) | ((~subpopulations(first_movers, efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | (~environment(sk3)) | (~stable(sk3)) | greater(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), growth_rate(first_movers, sk4(sk4(sk1(sk3))))) | (~greater_or_equal(sk4(sk4(sk1(sk3))), sk2(sk3))))) <=> ((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (~stable(A)) | greater(growth_rate(efficient_producers, B), growth_rate(first_movers, B)) | (~greater_or_equal(B, sk2(A))))) | ((~environment(sk3)) | (~stable(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | greater(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), growth_rate(first_movers, sk4(sk4(sk1(sk3))))) | (~greater_or_equal(sk4(sk4(sk1(sk3))), sk2(sk3)))))),
% 0.20/0.56 inference(monotonicity,[status(thm)],[687])).
% 0.20/0.56 tff(689,plain,
% 0.20/0.56 (((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (~stable(A)) | greater(growth_rate(efficient_producers, B), growth_rate(first_movers, B)) | (~greater_or_equal(B, sk2(A))))) | ((~subpopulations(first_movers, efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | (~environment(sk3)) | (~stable(sk3)) | greater(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), growth_rate(first_movers, sk4(sk4(sk1(sk3))))) | (~greater_or_equal(sk4(sk4(sk1(sk3))), sk2(sk3))))) <=> ((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (~stable(A)) | greater(growth_rate(efficient_producers, B), growth_rate(first_movers, B)) | (~greater_or_equal(B, sk2(A))))) | (~environment(sk3)) | (~stable(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | greater(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), growth_rate(first_movers, sk4(sk4(sk1(sk3))))) | (~greater_or_equal(sk4(sk4(sk1(sk3))), sk2(sk3))))),
% 0.20/0.56 inference(transitivity,[status(thm)],[688, 686])).
% 0.20/0.56 tff(690,plain,
% 0.20/0.56 ((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (~stable(A)) | greater(growth_rate(efficient_producers, B), growth_rate(first_movers, B)) | (~greater_or_equal(B, sk2(A))))) | ((~subpopulations(first_movers, efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | (~environment(sk3)) | (~stable(sk3)) | greater(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), growth_rate(first_movers, sk4(sk4(sk1(sk3))))) | (~greater_or_equal(sk4(sk4(sk1(sk3))), sk2(sk3))))),
% 0.20/0.56 inference(quant_inst,[status(thm)],[])).
% 0.20/0.56 tff(691,plain,
% 0.20/0.56 ((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (~stable(A)) | greater(growth_rate(efficient_producers, B), growth_rate(first_movers, B)) | (~greater_or_equal(B, sk2(A))))) | (~environment(sk3)) | (~stable(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | greater(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), growth_rate(first_movers, sk4(sk4(sk1(sk3))))) | (~greater_or_equal(sk4(sk4(sk1(sk3))), sk2(sk3)))),
% 0.20/0.56 inference(modus_ponens,[status(thm)],[690, 689])).
% 0.20/0.56 tff(692,plain,
% 0.20/0.56 (greater(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), growth_rate(first_movers, sk4(sk4(sk1(sk3))))) | (~greater_or_equal(sk4(sk4(sk1(sk3))), sk2(sk3)))),
% 0.20/0.56 inference(unit_resolution,[status(thm)],[691, 384, 32, 29, 659])).
% 0.20/0.56 tff(693,plain,
% 0.20/0.56 (greater(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), growth_rate(first_movers, sk4(sk4(sk1(sk3)))))),
% 0.20/0.56 inference(unit_resolution,[status(thm)],[692, 685])).
% 0.20/0.56 tff(694,plain,
% 0.20/0.56 (((~![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | subpopulation(efficient_producers, A, B))) | ((~environment(sk3)) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | subpopulation(efficient_producers, sk3, sk4(sk4(sk1(sk3)))))) <=> ((~![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | subpopulation(efficient_producers, A, B))) | (~environment(sk3)) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | subpopulation(efficient_producers, sk3, sk4(sk4(sk1(sk3)))))),
% 0.20/0.56 inference(rewrite,[status(thm)],[])).
% 0.20/0.56 tff(695,plain,
% 0.20/0.56 ((~![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | subpopulation(efficient_producers, A, B))) | ((~environment(sk3)) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | subpopulation(efficient_producers, sk3, sk4(sk4(sk1(sk3)))))),
% 0.20/0.56 inference(quant_inst,[status(thm)],[])).
% 0.20/0.57 tff(696,plain,
% 0.20/0.57 ((~![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | subpopulation(efficient_producers, A, B))) | (~environment(sk3)) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | subpopulation(efficient_producers, sk3, sk4(sk4(sk1(sk3))))),
% 0.20/0.57 inference(modus_ponens,[status(thm)],[695, 694])).
% 0.20/0.57 tff(697,plain,
% 0.20/0.57 (subpopulation(efficient_producers, sk3, sk4(sk4(sk1(sk3))))),
% 0.20/0.57 inference(unit_resolution,[status(thm)],[696, 217, 32, 666])).
% 0.20/0.57 tff(698,plain,
% 0.20/0.57 (((~![B: $i, A: $i, C: $i] : ((number_of_organizations(A, C) = sum(cardinality_at_time(first_movers, C), cardinality_at_time(efficient_producers, C))) | (~subpopulation(B, A, C)) | (~environment(A)) | (~(B = efficient_producers)))) | ((~environment(sk3)) | (~subpopulation(efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | (number_of_organizations(sk3, sk4(sk4(sk1(sk3)))) = sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))))))) <=> ((~![B: $i, A: $i, C: $i] : ((number_of_organizations(A, C) = sum(cardinality_at_time(first_movers, C), cardinality_at_time(efficient_producers, C))) | (~subpopulation(B, A, C)) | (~environment(A)) | (~(B = efficient_producers)))) | (~environment(sk3)) | (~subpopulation(efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | (number_of_organizations(sk3, sk4(sk4(sk1(sk3)))) = sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))))))),
% 0.20/0.57 inference(rewrite,[status(thm)],[])).
% 0.20/0.57 tff(699,plain,
% 0.20/0.57 (((number_of_organizations(sk3, sk4(sk4(sk1(sk3)))) = sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))))) | (~subpopulation(efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | (~environment(sk3)) | $false) <=> ((~environment(sk3)) | (~subpopulation(efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | (number_of_organizations(sk3, sk4(sk4(sk1(sk3)))) = sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))))))),
% 0.20/0.57 inference(rewrite,[status(thm)],[])).
% 0.20/0.57 tff(700,plain,
% 0.20/0.57 (((number_of_organizations(sk3, sk4(sk4(sk1(sk3)))) = sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))))) | (~subpopulation(efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | (~environment(sk3)) | (~(efficient_producers = efficient_producers))) <=> ((number_of_organizations(sk3, sk4(sk4(sk1(sk3)))) = sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))))) | (~subpopulation(efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | (~environment(sk3)) | $false)),
% 0.20/0.57 inference(monotonicity,[status(thm)],[237])).
% 0.20/0.57 tff(701,plain,
% 0.20/0.57 (((number_of_organizations(sk3, sk4(sk4(sk1(sk3)))) = sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))))) | (~subpopulation(efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | (~environment(sk3)) | (~(efficient_producers = efficient_producers))) <=> ((~environment(sk3)) | (~subpopulation(efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | (number_of_organizations(sk3, sk4(sk4(sk1(sk3)))) = sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))))))),
% 0.20/0.57 inference(transitivity,[status(thm)],[700, 699])).
% 0.20/0.57 tff(702,plain,
% 0.20/0.57 (((~![B: $i, A: $i, C: $i] : ((number_of_organizations(A, C) = sum(cardinality_at_time(first_movers, C), cardinality_at_time(efficient_producers, C))) | (~subpopulation(B, A, C)) | (~environment(A)) | (~(B = efficient_producers)))) | ((number_of_organizations(sk3, sk4(sk4(sk1(sk3)))) = sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))))) | (~subpopulation(efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | (~environment(sk3)) | (~(efficient_producers = efficient_producers)))) <=> ((~![B: $i, A: $i, C: $i] : ((number_of_organizations(A, C) = sum(cardinality_at_time(first_movers, C), cardinality_at_time(efficient_producers, C))) | (~subpopulation(B, A, C)) | (~environment(A)) | (~(B = efficient_producers)))) | ((~environment(sk3)) | (~subpopulation(efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | (number_of_organizations(sk3, sk4(sk4(sk1(sk3)))) = sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))))))),
% 0.20/0.57 inference(monotonicity,[status(thm)],[701])).
% 0.20/0.57 tff(703,plain,
% 0.20/0.57 (((~![B: $i, A: $i, C: $i] : ((number_of_organizations(A, C) = sum(cardinality_at_time(first_movers, C), cardinality_at_time(efficient_producers, C))) | (~subpopulation(B, A, C)) | (~environment(A)) | (~(B = efficient_producers)))) | ((number_of_organizations(sk3, sk4(sk4(sk1(sk3)))) = sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))))) | (~subpopulation(efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | (~environment(sk3)) | (~(efficient_producers = efficient_producers)))) <=> ((~![B: $i, A: $i, C: $i] : ((number_of_organizations(A, C) = sum(cardinality_at_time(first_movers, C), cardinality_at_time(efficient_producers, C))) | (~subpopulation(B, A, C)) | (~environment(A)) | (~(B = efficient_producers)))) | (~environment(sk3)) | (~subpopulation(efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | (number_of_organizations(sk3, sk4(sk4(sk1(sk3)))) = sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))))))),
% 0.20/0.57 inference(transitivity,[status(thm)],[702, 698])).
% 0.20/0.57 tff(704,plain,
% 0.20/0.57 ((~![B: $i, A: $i, C: $i] : ((number_of_organizations(A, C) = sum(cardinality_at_time(first_movers, C), cardinality_at_time(efficient_producers, C))) | (~subpopulation(B, A, C)) | (~environment(A)) | (~(B = efficient_producers)))) | ((number_of_organizations(sk3, sk4(sk4(sk1(sk3)))) = sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))))) | (~subpopulation(efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | (~environment(sk3)) | (~(efficient_producers = efficient_producers)))),
% 0.20/0.57 inference(quant_inst,[status(thm)],[])).
% 0.20/0.57 tff(705,plain,
% 0.20/0.57 ((~![B: $i, A: $i, C: $i] : ((number_of_organizations(A, C) = sum(cardinality_at_time(first_movers, C), cardinality_at_time(efficient_producers, C))) | (~subpopulation(B, A, C)) | (~environment(A)) | (~(B = efficient_producers)))) | (~environment(sk3)) | (~subpopulation(efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | (number_of_organizations(sk3, sk4(sk4(sk1(sk3)))) = sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))))),
% 0.20/0.57 inference(modus_ponens,[status(thm)],[704, 703])).
% 0.20/0.57 tff(706,plain,
% 0.20/0.57 (number_of_organizations(sk3, sk4(sk4(sk1(sk3)))) = sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))))),
% 0.20/0.57 inference(unit_resolution,[status(thm)],[705, 231, 32, 697])).
% 0.20/0.57 tff(707,plain,
% 0.20/0.57 (sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) = number_of_organizations(sk3, sk4(sk4(sk1(sk3))))),
% 0.20/0.57 inference(symmetry,[status(thm)],[706])).
% 0.20/0.57 tff(708,plain,
% 0.20/0.57 (constant(sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))))) <=> constant(number_of_organizations(sk3, sk4(sk4(sk1(sk3)))))),
% 0.20/0.57 inference(monotonicity,[status(thm)],[707])).
% 0.20/0.57 tff(709,plain,
% 0.20/0.57 (constant(number_of_organizations(sk3, sk4(sk4(sk1(sk3))))) <=> constant(sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))))),
% 0.20/0.57 inference(symmetry,[status(thm)],[708])).
% 0.20/0.57 tff(710,plain,
% 0.20/0.57 (((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(number_of_organizations(A, B), zero))) | ((~environment(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | greater(number_of_organizations(sk3, sk4(sk4(sk1(sk3)))), zero))) <=> ((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(number_of_organizations(A, B), zero))) | (~environment(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | greater(number_of_organizations(sk3, sk4(sk4(sk1(sk3)))), zero))),
% 0.20/0.57 inference(rewrite,[status(thm)],[])).
% 0.20/0.57 tff(711,plain,
% 0.20/0.57 (((~subpopulations(first_movers, efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | (~environment(sk3)) | greater(number_of_organizations(sk3, sk4(sk4(sk1(sk3)))), zero)) <=> ((~environment(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | greater(number_of_organizations(sk3, sk4(sk4(sk1(sk3)))), zero))),
% 0.20/0.57 inference(rewrite,[status(thm)],[])).
% 0.20/0.57 tff(712,plain,
% 0.20/0.57 (((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(number_of_organizations(A, B), zero))) | ((~subpopulations(first_movers, efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | (~environment(sk3)) | greater(number_of_organizations(sk3, sk4(sk4(sk1(sk3)))), zero))) <=> ((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(number_of_organizations(A, B), zero))) | ((~environment(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | greater(number_of_organizations(sk3, sk4(sk4(sk1(sk3)))), zero)))),
% 0.20/0.57 inference(monotonicity,[status(thm)],[711])).
% 0.20/0.57 tff(713,plain,
% 0.20/0.57 (((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(number_of_organizations(A, B), zero))) | ((~subpopulations(first_movers, efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | (~environment(sk3)) | greater(number_of_organizations(sk3, sk4(sk4(sk1(sk3)))), zero))) <=> ((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(number_of_organizations(A, B), zero))) | (~environment(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | greater(number_of_organizations(sk3, sk4(sk4(sk1(sk3)))), zero))),
% 0.20/0.57 inference(transitivity,[status(thm)],[712, 710])).
% 0.20/0.57 tff(714,plain,
% 0.20/0.57 ((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(number_of_organizations(A, B), zero))) | ((~subpopulations(first_movers, efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | (~environment(sk3)) | greater(number_of_organizations(sk3, sk4(sk4(sk1(sk3)))), zero))),
% 0.20/0.57 inference(quant_inst,[status(thm)],[])).
% 0.20/0.57 tff(715,plain,
% 0.20/0.57 ((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(number_of_organizations(A, B), zero))) | (~environment(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | greater(number_of_organizations(sk3, sk4(sk4(sk1(sk3)))), zero)),
% 0.20/0.57 inference(modus_ponens,[status(thm)],[714, 713])).
% 0.20/0.57 tff(716,plain,
% 0.20/0.57 (greater(number_of_organizations(sk3, sk4(sk4(sk1(sk3)))), zero)),
% 0.20/0.57 inference(unit_resolution,[status(thm)],[715, 598, 32, 659])).
% 0.20/0.57 tff(717,plain,
% 0.20/0.57 (((~![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | greater(equilibrium(A), B) | constant(resources(A, B)) | (~greater(number_of_organizations(A, B), zero)))) | ((~environment(sk3)) | (~greater(number_of_organizations(sk3, sk4(sk4(sk1(sk3)))), zero)) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | constant(resources(sk3, sk4(sk4(sk1(sk3))))) | greater(equilibrium(sk3), sk4(sk4(sk1(sk3)))))) <=> ((~![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | greater(equilibrium(A), B) | constant(resources(A, B)) | (~greater(number_of_organizations(A, B), zero)))) | (~environment(sk3)) | (~greater(number_of_organizations(sk3, sk4(sk4(sk1(sk3)))), zero)) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | constant(resources(sk3, sk4(sk4(sk1(sk3))))) | greater(equilibrium(sk3), sk4(sk4(sk1(sk3)))))),
% 0.20/0.57 inference(rewrite,[status(thm)],[])).
% 0.20/0.57 tff(718,plain,
% 0.20/0.57 (((~environment(sk3)) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | greater(equilibrium(sk3), sk4(sk4(sk1(sk3)))) | constant(resources(sk3, sk4(sk4(sk1(sk3))))) | (~greater(number_of_organizations(sk3, sk4(sk4(sk1(sk3)))), zero))) <=> ((~environment(sk3)) | (~greater(number_of_organizations(sk3, sk4(sk4(sk1(sk3)))), zero)) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | constant(resources(sk3, sk4(sk4(sk1(sk3))))) | greater(equilibrium(sk3), sk4(sk4(sk1(sk3)))))),
% 0.20/0.57 inference(rewrite,[status(thm)],[])).
% 0.20/0.57 tff(719,plain,
% 0.20/0.57 (((~![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | greater(equilibrium(A), B) | constant(resources(A, B)) | (~greater(number_of_organizations(A, B), zero)))) | ((~environment(sk3)) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | greater(equilibrium(sk3), sk4(sk4(sk1(sk3)))) | constant(resources(sk3, sk4(sk4(sk1(sk3))))) | (~greater(number_of_organizations(sk3, sk4(sk4(sk1(sk3)))), zero)))) <=> ((~![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | greater(equilibrium(A), B) | constant(resources(A, B)) | (~greater(number_of_organizations(A, B), zero)))) | ((~environment(sk3)) | (~greater(number_of_organizations(sk3, sk4(sk4(sk1(sk3)))), zero)) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | constant(resources(sk3, sk4(sk4(sk1(sk3))))) | greater(equilibrium(sk3), sk4(sk4(sk1(sk3))))))),
% 0.20/0.57 inference(monotonicity,[status(thm)],[718])).
% 0.20/0.57 tff(720,plain,
% 0.20/0.57 (((~![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | greater(equilibrium(A), B) | constant(resources(A, B)) | (~greater(number_of_organizations(A, B), zero)))) | ((~environment(sk3)) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | greater(equilibrium(sk3), sk4(sk4(sk1(sk3)))) | constant(resources(sk3, sk4(sk4(sk1(sk3))))) | (~greater(number_of_organizations(sk3, sk4(sk4(sk1(sk3)))), zero)))) <=> ((~![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | greater(equilibrium(A), B) | constant(resources(A, B)) | (~greater(number_of_organizations(A, B), zero)))) | (~environment(sk3)) | (~greater(number_of_organizations(sk3, sk4(sk4(sk1(sk3)))), zero)) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | constant(resources(sk3, sk4(sk4(sk1(sk3))))) | greater(equilibrium(sk3), sk4(sk4(sk1(sk3)))))),
% 0.20/0.57 inference(transitivity,[status(thm)],[719, 717])).
% 0.20/0.57 tff(721,plain,
% 0.20/0.57 ((~![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | greater(equilibrium(A), B) | constant(resources(A, B)) | (~greater(number_of_organizations(A, B), zero)))) | ((~environment(sk3)) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | greater(equilibrium(sk3), sk4(sk4(sk1(sk3)))) | constant(resources(sk3, sk4(sk4(sk1(sk3))))) | (~greater(number_of_organizations(sk3, sk4(sk4(sk1(sk3)))), zero)))),
% 0.20/0.57 inference(quant_inst,[status(thm)],[])).
% 0.20/0.57 tff(722,plain,
% 0.20/0.57 ((~![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | greater(equilibrium(A), B) | constant(resources(A, B)) | (~greater(number_of_organizations(A, B), zero)))) | (~environment(sk3)) | (~greater(number_of_organizations(sk3, sk4(sk4(sk1(sk3)))), zero)) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | constant(resources(sk3, sk4(sk4(sk1(sk3))))) | greater(equilibrium(sk3), sk4(sk4(sk1(sk3))))),
% 0.20/0.57 inference(modus_ponens,[status(thm)],[721, 720])).
% 0.20/0.57 tff(723,plain,
% 0.20/0.57 (constant(resources(sk3, sk4(sk4(sk1(sk3))))) | greater(equilibrium(sk3), sk4(sk4(sk1(sk3))))),
% 0.20/0.57 inference(unit_resolution,[status(thm)],[722, 615, 32, 666, 716])).
% 0.20/0.57 tff(724,plain,
% 0.20/0.57 (constant(resources(sk3, sk4(sk4(sk1(sk3)))))),
% 0.20/0.57 inference(unit_resolution,[status(thm)],[723, 181])).
% 0.20/0.57 tff(725,plain,
% 0.20/0.57 (((~![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | constant(number_of_organizations(A, B)) | (~constant(resources(A, B))))) | ((~environment(sk3)) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | constant(number_of_organizations(sk3, sk4(sk4(sk1(sk3))))) | (~constant(resources(sk3, sk4(sk4(sk1(sk3)))))))) <=> ((~![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | constant(number_of_organizations(A, B)) | (~constant(resources(A, B))))) | (~environment(sk3)) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | constant(number_of_organizations(sk3, sk4(sk4(sk1(sk3))))) | (~constant(resources(sk3, sk4(sk4(sk1(sk3)))))))),
% 0.20/0.57 inference(rewrite,[status(thm)],[])).
% 0.20/0.57 tff(726,plain,
% 0.20/0.57 ((~![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | constant(number_of_organizations(A, B)) | (~constant(resources(A, B))))) | ((~environment(sk3)) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | constant(number_of_organizations(sk3, sk4(sk4(sk1(sk3))))) | (~constant(resources(sk3, sk4(sk4(sk1(sk3)))))))),
% 0.20/0.57 inference(quant_inst,[status(thm)],[])).
% 0.20/0.57 tff(727,plain,
% 0.20/0.57 ((~![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | constant(number_of_organizations(A, B)) | (~constant(resources(A, B))))) | (~environment(sk3)) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | constant(number_of_organizations(sk3, sk4(sk4(sk1(sk3))))) | (~constant(resources(sk3, sk4(sk4(sk1(sk3))))))),
% 0.20/0.57 inference(modus_ponens,[status(thm)],[726, 725])).
% 0.20/0.57 tff(728,plain,
% 0.20/0.57 (constant(number_of_organizations(sk3, sk4(sk4(sk1(sk3))))) | (~constant(resources(sk3, sk4(sk4(sk1(sk3))))))),
% 0.20/0.57 inference(unit_resolution,[status(thm)],[727, 583, 32, 666])).
% 0.20/0.57 tff(729,plain,
% 0.20/0.57 (constant(number_of_organizations(sk3, sk4(sk4(sk1(sk3)))))),
% 0.20/0.57 inference(unit_resolution,[status(thm)],[728, 724])).
% 0.20/0.57 tff(730,plain,
% 0.20/0.57 (constant(sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))))),
% 0.20/0.57 inference(modus_ponens,[status(thm)],[729, 709])).
% 0.20/0.57 tff(731,assumption,(constant(sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))))), introduced(assumption)).
% 0.20/0.57 tff(732,assumption,(~increases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))))), introduced(assumption)).
% 0.20/0.57 tff(733,plain,
% 0.20/0.57 ((zero = growth_rate(efficient_producers, sk4(sk4(sk1(sk3))))) <=> (growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))) = zero)),
% 0.20/0.57 inference(commutativity,[status(thm)],[])).
% 0.20/0.57 tff(734,plain,
% 0.20/0.57 ((~(zero = growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))))) <=> (~(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))) = zero))),
% 0.20/0.57 inference(monotonicity,[status(thm)],[733])).
% 0.20/0.57 tff(735,assumption,(greater(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), growth_rate(first_movers, sk4(sk4(sk1(sk3)))))), introduced(assumption)).
% 0.20/0.57 tff(736,plain,
% 0.20/0.57 (((~![B: $i, A: $i] : ((~(A = B)) | (~greater(A, B)))) | ((~(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))) = growth_rate(first_movers, sk4(sk4(sk1(sk3)))))) | (~greater(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), growth_rate(first_movers, sk4(sk4(sk1(sk3)))))))) <=> ((~![B: $i, A: $i] : ((~(A = B)) | (~greater(A, B)))) | (~(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))) = growth_rate(first_movers, sk4(sk4(sk1(sk3)))))) | (~greater(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), growth_rate(first_movers, sk4(sk4(sk1(sk3)))))))),
% 0.20/0.57 inference(rewrite,[status(thm)],[])).
% 0.20/0.57 tff(737,plain,
% 0.20/0.57 ((~![B: $i, A: $i] : ((~(A = B)) | (~greater(A, B)))) | ((~(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))) = growth_rate(first_movers, sk4(sk4(sk1(sk3)))))) | (~greater(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), growth_rate(first_movers, sk4(sk4(sk1(sk3)))))))),
% 0.20/0.57 inference(quant_inst,[status(thm)],[])).
% 0.20/0.57 tff(738,plain,
% 0.20/0.57 ((~![B: $i, A: $i] : ((~(A = B)) | (~greater(A, B)))) | (~(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))) = growth_rate(first_movers, sk4(sk4(sk1(sk3)))))) | (~greater(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), growth_rate(first_movers, sk4(sk4(sk1(sk3))))))),
% 0.20/0.57 inference(modus_ponens,[status(thm)],[737, 736])).
% 0.20/0.57 tff(739,plain,
% 0.20/0.57 (~(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))) = growth_rate(first_movers, sk4(sk4(sk1(sk3)))))),
% 0.20/0.57 inference(unit_resolution,[status(thm)],[738, 401, 735])).
% 0.20/0.57 tff(740,assumption,(~decreases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))))), introduced(assumption)).
% 0.20/0.57 tff(741,plain,
% 0.20/0.57 (^[B: $i, A: $i, C: $i] : refl((constant(B) | (~constant(A)) | (~(A = sum(B, C))) | increases(C) | decreases(C)) <=> (constant(B) | (~constant(A)) | (~(A = sum(B, C))) | increases(C) | decreases(C)))),
% 0.20/0.57 inference(bind,[status(th)],[])).
% 0.20/0.57 tff(742,plain,
% 0.20/0.57 (![B: $i, A: $i, C: $i] : (constant(B) | (~constant(A)) | (~(A = sum(B, C))) | increases(C) | decreases(C)) <=> ![B: $i, A: $i, C: $i] : (constant(B) | (~constant(A)) | (~(A = sum(B, C))) | increases(C) | decreases(C))),
% 0.20/0.57 inference(quant_intro,[status(thm)],[741])).
% 0.20/0.57 tff(743,plain,
% 0.20/0.57 (![B: $i, A: $i, C: $i] : (constant(B) | (~constant(A)) | (~(A = sum(B, C))) | increases(C) | decreases(C)) <=> ![B: $i, A: $i, C: $i] : (constant(B) | (~constant(A)) | (~(A = sum(B, C))) | increases(C) | decreases(C))),
% 0.20/0.57 inference(rewrite,[status(thm)],[])).
% 0.20/0.57 tff(744,plain,
% 0.20/0.57 (^[B: $i, A: $i, C: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~(A = sum(B, C))) | (~constant(A))) <=> ((~constant(A)) | (~(A = sum(B, C))))), ((((~(A = sum(B, C))) | (~constant(A))) | constant(B)) <=> (((~constant(A)) | (~(A = sum(B, C)))) | constant(B)))), rewrite((((~constant(A)) | (~(A = sum(B, C)))) | constant(B)) <=> (constant(B) | (~constant(A)) | (~(A = sum(B, C))))), ((((~(A = sum(B, C))) | (~constant(A))) | constant(B)) <=> (constant(B) | (~constant(A)) | (~(A = sum(B, C)))))), (((((~(A = sum(B, C))) | (~constant(A))) | constant(B)) | decreases(C)) <=> ((constant(B) | (~constant(A)) | (~(A = sum(B, C)))) | decreases(C)))), rewrite(((constant(B) | (~constant(A)) | (~(A = sum(B, C)))) | decreases(C)) <=> (constant(B) | (~constant(A)) | (~(A = sum(B, C))) | decreases(C))), (((((~(A = sum(B, C))) | (~constant(A))) | constant(B)) | decreases(C)) <=> (constant(B) | (~constant(A)) | (~(A = sum(B, C))) | decreases(C)))), ((((((~(A = sum(B, C))) | (~constant(A))) | constant(B)) | decreases(C)) | increases(C)) <=> ((constant(B) | (~constant(A)) | (~(A = sum(B, C))) | decreases(C)) | increases(C)))), rewrite(((constant(B) | (~constant(A)) | (~(A = sum(B, C))) | decreases(C)) | increases(C)) <=> (constant(B) | (~constant(A)) | (~(A = sum(B, C))) | increases(C) | decreases(C))), ((((((~(A = sum(B, C))) | (~constant(A))) | constant(B)) | decreases(C)) | increases(C)) <=> (constant(B) | (~constant(A)) | (~(A = sum(B, C))) | increases(C) | decreases(C))))),
% 0.20/0.57 inference(bind,[status(th)],[])).
% 0.20/0.57 tff(745,plain,
% 0.20/0.57 (![B: $i, A: $i, C: $i] : (((((~(A = sum(B, C))) | (~constant(A))) | constant(B)) | decreases(C)) | increases(C)) <=> ![B: $i, A: $i, C: $i] : (constant(B) | (~constant(A)) | (~(A = sum(B, C))) | increases(C) | decreases(C))),
% 0.20/0.57 inference(quant_intro,[status(thm)],[744])).
% 0.20/0.57 tff(746,axiom,(![B: $i, A: $i, C: $i] : (((((~(A = sum(B, C))) | (~constant(A))) | constant(B)) | decreases(C)) | increases(C))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','mp_abc_sum_increase_46')).
% 0.20/0.57 tff(747,plain,
% 0.20/0.57 (![B: $i, A: $i, C: $i] : (constant(B) | (~constant(A)) | (~(A = sum(B, C))) | increases(C) | decreases(C))),
% 0.20/0.57 inference(modus_ponens,[status(thm)],[746, 745])).
% 0.20/0.57 tff(748,plain,
% 0.20/0.57 (![B: $i, A: $i, C: $i] : (constant(B) | (~constant(A)) | (~(A = sum(B, C))) | increases(C) | decreases(C))),
% 0.20/0.57 inference(modus_ponens,[status(thm)],[747, 743])).
% 0.20/0.57 tff(749,plain,(
% 0.20/0.57 ![B: $i, A: $i, C: $i] : (constant(B) | (~constant(A)) | (~(A = sum(B, C))) | increases(C) | decreases(C))),
% 0.20/0.57 inference(skolemize,[status(sab)],[748])).
% 0.20/0.57 tff(750,plain,
% 0.20/0.57 (![B: $i, A: $i, C: $i] : (constant(B) | (~constant(A)) | (~(A = sum(B, C))) | increases(C) | decreases(C))),
% 0.20/0.57 inference(modus_ponens,[status(thm)],[749, 742])).
% 0.20/0.57 tff(751,plain,
% 0.20/0.57 (((~![B: $i, A: $i, C: $i] : (constant(B) | (~constant(A)) | (~(A = sum(B, C))) | increases(C) | decreases(C))) | (decreases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) | increases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) | constant(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3))))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))))))) <=> ((~![B: $i, A: $i, C: $i] : (constant(B) | (~constant(A)) | (~(A = sum(B, C))) | increases(C) | decreases(C))) | decreases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) | increases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) | constant(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3))))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))))))),
% 0.20/0.57 inference(rewrite,[status(thm)],[])).
% 0.20/0.57 tff(752,plain,
% 0.20/0.57 ((constant(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3))))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))))) | $false | increases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) | decreases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))))) <=> (decreases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) | increases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) | constant(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3))))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))))))),
% 0.20/0.57 inference(rewrite,[status(thm)],[])).
% 0.20/0.57 tff(753,plain,
% 0.20/0.57 ((sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) = sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))))) <=> $true),
% 0.20/0.57 inference(rewrite,[status(thm)],[])).
% 0.20/0.57 tff(754,plain,
% 0.20/0.57 ((~(sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) = sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))))) <=> (~$true)),
% 0.20/0.57 inference(monotonicity,[status(thm)],[753])).
% 0.20/0.57 tff(755,plain,
% 0.20/0.57 ((~(sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) = sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))))) <=> $false),
% 0.20/0.58 inference(transitivity,[status(thm)],[754, 234])).
% 0.20/0.58 tff(756,plain,
% 0.20/0.58 ((constant(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3))))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))))) | (~(sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) = sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))))) | increases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) | decreases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))))) <=> (constant(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3))))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))))) | $false | increases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) | decreases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))))),
% 0.20/0.58 inference(monotonicity,[status(thm)],[755])).
% 0.20/0.58 tff(757,plain,
% 0.20/0.58 ((constant(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3))))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))))) | (~(sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) = sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))))) | increases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) | decreases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))))) <=> (decreases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) | increases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) | constant(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3))))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))))))),
% 0.20/0.58 inference(transitivity,[status(thm)],[756, 752])).
% 0.20/0.58 tff(758,plain,
% 0.20/0.58 (((~![B: $i, A: $i, C: $i] : (constant(B) | (~constant(A)) | (~(A = sum(B, C))) | increases(C) | decreases(C))) | (constant(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3))))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))))) | (~(sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) = sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))))) | increases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) | decreases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))))) <=> ((~![B: $i, A: $i, C: $i] : (constant(B) | (~constant(A)) | (~(A = sum(B, C))) | increases(C) | decreases(C))) | (decreases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) | increases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) | constant(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3))))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))))))))),
% 0.20/0.58 inference(monotonicity,[status(thm)],[757])).
% 0.20/0.58 tff(759,plain,
% 0.20/0.58 (((~![B: $i, A: $i, C: $i] : (constant(B) | (~constant(A)) | (~(A = sum(B, C))) | increases(C) | decreases(C))) | (constant(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3))))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))))) | (~(sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) = sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))))) | increases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) | decreases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))))) <=> ((~![B: $i, A: $i, C: $i] : (constant(B) | (~constant(A)) | (~(A = sum(B, C))) | increases(C) | decreases(C))) | decreases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) | increases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) | constant(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3))))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))))))),
% 0.20/0.58 inference(transitivity,[status(thm)],[758, 751])).
% 0.20/0.58 tff(760,plain,
% 0.20/0.58 ((~![B: $i, A: $i, C: $i] : (constant(B) | (~constant(A)) | (~(A = sum(B, C))) | increases(C) | decreases(C))) | (constant(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3))))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))))) | (~(sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) = sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))))) | increases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) | decreases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))))),
% 0.20/0.58 inference(quant_inst,[status(thm)],[])).
% 0.20/0.58 tff(761,plain,
% 0.20/0.58 ((~![B: $i, A: $i, C: $i] : (constant(B) | (~constant(A)) | (~(A = sum(B, C))) | increases(C) | decreases(C))) | decreases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) | increases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) | constant(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3))))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))))))),
% 0.20/0.58 inference(modus_ponens,[status(thm)],[760, 759])).
% 0.20/0.58 tff(762,plain,
% 0.20/0.58 (decreases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) | increases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) | constant(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3))))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))))))),
% 0.20/0.58 inference(unit_resolution,[status(thm)],[761, 750])).
% 0.20/0.58 tff(763,plain,
% 0.20/0.58 (constant(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))))),
% 0.20/0.58 inference(unit_resolution,[status(thm)],[762, 740, 732, 731])).
% 0.20/0.58 tff(764,plain,
% 0.20/0.58 (((~![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | subpopulation(first_movers, A, B))) | ((~environment(sk3)) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | subpopulation(first_movers, sk3, sk4(sk4(sk1(sk3)))))) <=> ((~![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | subpopulation(first_movers, A, B))) | (~environment(sk3)) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | subpopulation(first_movers, sk3, sk4(sk4(sk1(sk3)))))),
% 0.20/0.58 inference(rewrite,[status(thm)],[])).
% 0.20/0.58 tff(765,plain,
% 0.20/0.58 ((~![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | subpopulation(first_movers, A, B))) | ((~environment(sk3)) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | subpopulation(first_movers, sk3, sk4(sk4(sk1(sk3)))))),
% 0.20/0.58 inference(quant_inst,[status(thm)],[])).
% 0.20/0.58 tff(766,plain,
% 0.20/0.58 ((~![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | subpopulation(first_movers, A, B))) | (~environment(sk3)) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | subpopulation(first_movers, sk3, sk4(sk4(sk1(sk3))))),
% 0.20/0.58 inference(modus_ponens,[status(thm)],[765, 764])).
% 0.20/0.58 tff(767,plain,
% 0.20/0.58 (subpopulation(first_movers, sk3, sk4(sk4(sk1(sk3))))),
% 0.20/0.58 inference(unit_resolution,[status(thm)],[766, 283, 32, 666])).
% 0.20/0.58 tff(768,plain,
% 0.20/0.58 (((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(cardinality_at_time(first_movers, B), zero))) | ((~environment(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | greater(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), zero))) <=> ((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(cardinality_at_time(first_movers, B), zero))) | (~environment(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | greater(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), zero))),
% 0.20/0.58 inference(rewrite,[status(thm)],[])).
% 0.20/0.58 tff(769,plain,
% 0.20/0.58 (((~subpopulations(first_movers, efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | (~environment(sk3)) | greater(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), zero)) <=> ((~environment(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | greater(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), zero))),
% 0.20/0.58 inference(rewrite,[status(thm)],[])).
% 0.20/0.58 tff(770,plain,
% 0.20/0.58 (((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(cardinality_at_time(first_movers, B), zero))) | ((~subpopulations(first_movers, efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | (~environment(sk3)) | greater(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), zero))) <=> ((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(cardinality_at_time(first_movers, B), zero))) | ((~environment(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | greater(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), zero)))),
% 0.20/0.58 inference(monotonicity,[status(thm)],[769])).
% 0.20/0.58 tff(771,plain,
% 0.20/0.58 (((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(cardinality_at_time(first_movers, B), zero))) | ((~subpopulations(first_movers, efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | (~environment(sk3)) | greater(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), zero))) <=> ((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(cardinality_at_time(first_movers, B), zero))) | (~environment(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | greater(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), zero))),
% 0.20/0.58 inference(transitivity,[status(thm)],[770, 768])).
% 0.20/0.58 tff(772,plain,
% 0.20/0.58 ((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(cardinality_at_time(first_movers, B), zero))) | ((~subpopulations(first_movers, efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | (~environment(sk3)) | greater(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), zero))),
% 0.20/0.58 inference(quant_inst,[status(thm)],[])).
% 0.20/0.58 tff(773,plain,
% 0.20/0.58 ((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(cardinality_at_time(first_movers, B), zero))) | (~environment(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | greater(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), zero)),
% 0.20/0.58 inference(modus_ponens,[status(thm)],[772, 771])).
% 0.20/0.58 tff(774,plain,
% 0.20/0.58 (greater(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), zero)),
% 0.20/0.58 inference(unit_resolution,[status(thm)],[773, 297, 32, 659])).
% 0.20/0.58 tff(775,plain,
% 0.20/0.58 (((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (growth_rate(C, B) = zero) | (~constant(cardinality_at_time(C, B))) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)))) | ((~environment(sk3)) | (~greater(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), zero)) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | (~subpopulation(first_movers, sk3, sk4(sk4(sk1(sk3))))) | (growth_rate(first_movers, sk4(sk4(sk1(sk3)))) = zero) | (~constant(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))))))) <=> ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (growth_rate(C, B) = zero) | (~constant(cardinality_at_time(C, B))) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)))) | (~environment(sk3)) | (~greater(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), zero)) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | (~subpopulation(first_movers, sk3, sk4(sk4(sk1(sk3))))) | (growth_rate(first_movers, sk4(sk4(sk1(sk3)))) = zero) | (~constant(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))))))),
% 0.20/0.58 inference(rewrite,[status(thm)],[])).
% 0.20/0.58 tff(776,plain,
% 0.20/0.58 (((~environment(sk3)) | (growth_rate(first_movers, sk4(sk4(sk1(sk3)))) = zero) | (~constant(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))))) | (~greater(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), zero)) | (~subpopulation(first_movers, sk3, sk4(sk4(sk1(sk3))))) | (~in_environment(sk3, sk4(sk4(sk1(sk3)))))) <=> ((~environment(sk3)) | (~greater(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), zero)) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | (~subpopulation(first_movers, sk3, sk4(sk4(sk1(sk3))))) | (growth_rate(first_movers, sk4(sk4(sk1(sk3)))) = zero) | (~constant(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))))))),
% 0.20/0.58 inference(rewrite,[status(thm)],[])).
% 0.20/0.58 tff(777,plain,
% 0.20/0.58 (((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (growth_rate(C, B) = zero) | (~constant(cardinality_at_time(C, B))) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)))) | ((~environment(sk3)) | (growth_rate(first_movers, sk4(sk4(sk1(sk3)))) = zero) | (~constant(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))))) | (~greater(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), zero)) | (~subpopulation(first_movers, sk3, sk4(sk4(sk1(sk3))))) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))))) <=> ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (growth_rate(C, B) = zero) | (~constant(cardinality_at_time(C, B))) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)))) | ((~environment(sk3)) | (~greater(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), zero)) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | (~subpopulation(first_movers, sk3, sk4(sk4(sk1(sk3))))) | (growth_rate(first_movers, sk4(sk4(sk1(sk3)))) = zero) | (~constant(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3))))))))),
% 0.20/0.58 inference(monotonicity,[status(thm)],[776])).
% 0.20/0.58 tff(778,plain,
% 0.20/0.58 (((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (growth_rate(C, B) = zero) | (~constant(cardinality_at_time(C, B))) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)))) | ((~environment(sk3)) | (growth_rate(first_movers, sk4(sk4(sk1(sk3)))) = zero) | (~constant(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))))) | (~greater(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), zero)) | (~subpopulation(first_movers, sk3, sk4(sk4(sk1(sk3))))) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))))) <=> ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (growth_rate(C, B) = zero) | (~constant(cardinality_at_time(C, B))) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)))) | (~environment(sk3)) | (~greater(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), zero)) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | (~subpopulation(first_movers, sk3, sk4(sk4(sk1(sk3))))) | (growth_rate(first_movers, sk4(sk4(sk1(sk3)))) = zero) | (~constant(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))))))),
% 0.20/0.58 inference(transitivity,[status(thm)],[777, 775])).
% 0.20/0.58 tff(779,plain,
% 0.20/0.58 ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (growth_rate(C, B) = zero) | (~constant(cardinality_at_time(C, B))) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)))) | ((~environment(sk3)) | (growth_rate(first_movers, sk4(sk4(sk1(sk3)))) = zero) | (~constant(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))))) | (~greater(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), zero)) | (~subpopulation(first_movers, sk3, sk4(sk4(sk1(sk3))))) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))))),
% 0.20/0.58 inference(quant_inst,[status(thm)],[])).
% 0.20/0.58 tff(780,plain,
% 0.20/0.58 ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (growth_rate(C, B) = zero) | (~constant(cardinality_at_time(C, B))) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)))) | (~environment(sk3)) | (~greater(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), zero)) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | (~subpopulation(first_movers, sk3, sk4(sk4(sk1(sk3))))) | (growth_rate(first_movers, sk4(sk4(sk1(sk3)))) = zero) | (~constant(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3))))))),
% 0.20/0.58 inference(modus_ponens,[status(thm)],[779, 778])).
% 0.20/0.58 tff(781,plain,
% 0.20/0.58 ((growth_rate(first_movers, sk4(sk4(sk1(sk3)))) = zero) | (~constant(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3))))))),
% 0.20/0.58 inference(unit_resolution,[status(thm)],[780, 314, 32, 774, 666, 767])).
% 0.20/0.58 tff(782,plain,
% 0.20/0.58 (growth_rate(first_movers, sk4(sk4(sk1(sk3)))) = zero),
% 0.20/0.58 inference(unit_resolution,[status(thm)],[781, 763])).
% 0.20/0.58 tff(783,plain,
% 0.20/0.58 (zero = growth_rate(first_movers, sk4(sk4(sk1(sk3))))),
% 0.20/0.58 inference(symmetry,[status(thm)],[782])).
% 0.20/0.58 tff(784,plain,
% 0.20/0.58 (^[B: $i, A: $i, C: $i] : refl(((~constant(A)) | (~(A = sum(B, C))) | increases(C) | decreases(C) | constant(C)) <=> ((~constant(A)) | (~(A = sum(B, C))) | increases(C) | decreases(C) | constant(C)))),
% 0.20/0.58 inference(bind,[status(th)],[])).
% 0.20/0.58 tff(785,plain,
% 0.20/0.58 (![B: $i, A: $i, C: $i] : ((~constant(A)) | (~(A = sum(B, C))) | increases(C) | decreases(C) | constant(C)) <=> ![B: $i, A: $i, C: $i] : ((~constant(A)) | (~(A = sum(B, C))) | increases(C) | decreases(C) | constant(C))),
% 0.20/0.58 inference(quant_intro,[status(thm)],[784])).
% 0.20/0.58 tff(786,plain,
% 0.20/0.58 (![B: $i, A: $i, C: $i] : ((~constant(A)) | (~(A = sum(B, C))) | increases(C) | decreases(C) | constant(C)) <=> ![B: $i, A: $i, C: $i] : ((~constant(A)) | (~(A = sum(B, C))) | increases(C) | decreases(C) | constant(C))),
% 0.20/0.58 inference(rewrite,[status(thm)],[])).
% 0.20/0.58 tff(787,plain,
% 0.20/0.58 (^[B: $i, A: $i, C: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~(A = sum(B, C))) | (~constant(A))) <=> ((~constant(A)) | (~(A = sum(B, C))))), ((((~(A = sum(B, C))) | (~constant(A))) | constant(C)) <=> (((~constant(A)) | (~(A = sum(B, C)))) | constant(C)))), rewrite((((~constant(A)) | (~(A = sum(B, C)))) | constant(C)) <=> ((~constant(A)) | (~(A = sum(B, C))) | constant(C))), ((((~(A = sum(B, C))) | (~constant(A))) | constant(C)) <=> ((~constant(A)) | (~(A = sum(B, C))) | constant(C)))), (((((~(A = sum(B, C))) | (~constant(A))) | constant(C)) | decreases(C)) <=> (((~constant(A)) | (~(A = sum(B, C))) | constant(C)) | decreases(C)))), rewrite((((~constant(A)) | (~(A = sum(B, C))) | constant(C)) | decreases(C)) <=> ((~constant(A)) | (~(A = sum(B, C))) | decreases(C) | constant(C))), (((((~(A = sum(B, C))) | (~constant(A))) | constant(C)) | decreases(C)) <=> ((~constant(A)) | (~(A = sum(B, C))) | decreases(C) | constant(C)))), ((((((~(A = sum(B, C))) | (~constant(A))) | constant(C)) | decreases(C)) | increases(C)) <=> (((~constant(A)) | (~(A = sum(B, C))) | decreases(C) | constant(C)) | increases(C)))), rewrite((((~constant(A)) | (~(A = sum(B, C))) | decreases(C) | constant(C)) | increases(C)) <=> ((~constant(A)) | (~(A = sum(B, C))) | increases(C) | decreases(C) | constant(C))), ((((((~(A = sum(B, C))) | (~constant(A))) | constant(C)) | decreases(C)) | increases(C)) <=> ((~constant(A)) | (~(A = sum(B, C))) | increases(C) | decreases(C) | constant(C))))),
% 0.20/0.58 inference(bind,[status(th)],[])).
% 0.20/0.58 tff(788,plain,
% 0.20/0.58 (![B: $i, A: $i, C: $i] : (((((~(A = sum(B, C))) | (~constant(A))) | constant(C)) | decreases(C)) | increases(C)) <=> ![B: $i, A: $i, C: $i] : ((~constant(A)) | (~(A = sum(B, C))) | increases(C) | decreases(C) | constant(C))),
% 0.20/0.58 inference(quant_intro,[status(thm)],[787])).
% 0.20/0.58 tff(789,axiom,(![B: $i, A: $i, C: $i] : (((((~(A = sum(B, C))) | (~constant(A))) | constant(C)) | decreases(C)) | increases(C))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','mp_abc_sum_increase_50')).
% 0.20/0.58 tff(790,plain,
% 0.20/0.58 (![B: $i, A: $i, C: $i] : ((~constant(A)) | (~(A = sum(B, C))) | increases(C) | decreases(C) | constant(C))),
% 0.20/0.58 inference(modus_ponens,[status(thm)],[789, 788])).
% 0.20/0.58 tff(791,plain,
% 0.20/0.58 (![B: $i, A: $i, C: $i] : ((~constant(A)) | (~(A = sum(B, C))) | increases(C) | decreases(C) | constant(C))),
% 0.20/0.58 inference(modus_ponens,[status(thm)],[790, 786])).
% 0.20/0.58 tff(792,plain,(
% 0.20/0.58 ![B: $i, A: $i, C: $i] : ((~constant(A)) | (~(A = sum(B, C))) | increases(C) | decreases(C) | constant(C))),
% 0.20/0.58 inference(skolemize,[status(sab)],[791])).
% 0.20/0.58 tff(793,plain,
% 0.20/0.58 (![B: $i, A: $i, C: $i] : ((~constant(A)) | (~(A = sum(B, C))) | increases(C) | decreases(C) | constant(C))),
% 0.20/0.58 inference(modus_ponens,[status(thm)],[792, 785])).
% 0.20/0.58 tff(794,plain,
% 0.20/0.58 (((~![B: $i, A: $i, C: $i] : ((~constant(A)) | (~(A = sum(B, C))) | increases(C) | decreases(C) | constant(C))) | (decreases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) | increases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) | constant(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))))))) <=> ((~![B: $i, A: $i, C: $i] : ((~constant(A)) | (~(A = sum(B, C))) | increases(C) | decreases(C) | constant(C))) | decreases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) | increases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) | constant(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))))))),
% 0.20/0.58 inference(rewrite,[status(thm)],[])).
% 0.20/0.58 tff(795,plain,
% 0.20/0.58 (((~constant(sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))))) | $false | increases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) | decreases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) | constant(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))))) <=> (decreases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) | increases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) | constant(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))))))),
% 0.20/0.58 inference(rewrite,[status(thm)],[])).
% 0.20/0.58 tff(796,plain,
% 0.20/0.58 (((~constant(sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))))) | (~(sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) = sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))))) | increases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) | decreases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) | constant(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))))) <=> ((~constant(sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))))) | $false | increases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) | decreases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) | constant(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))))),
% 0.20/0.58 inference(monotonicity,[status(thm)],[755])).
% 0.20/0.58 tff(797,plain,
% 0.20/0.58 (((~constant(sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))))) | (~(sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) = sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))))) | increases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) | decreases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) | constant(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))))) <=> (decreases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) | increases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) | constant(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))))))),
% 0.20/0.59 inference(transitivity,[status(thm)],[796, 795])).
% 0.20/0.59 tff(798,plain,
% 0.20/0.59 (((~![B: $i, A: $i, C: $i] : ((~constant(A)) | (~(A = sum(B, C))) | increases(C) | decreases(C) | constant(C))) | ((~constant(sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))))) | (~(sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) = sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))))) | increases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) | decreases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) | constant(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))))) <=> ((~![B: $i, A: $i, C: $i] : ((~constant(A)) | (~(A = sum(B, C))) | increases(C) | decreases(C) | constant(C))) | (decreases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) | increases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) | constant(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))))))))),
% 0.20/0.59 inference(monotonicity,[status(thm)],[797])).
% 0.20/0.59 tff(799,plain,
% 0.20/0.59 (((~![B: $i, A: $i, C: $i] : ((~constant(A)) | (~(A = sum(B, C))) | increases(C) | decreases(C) | constant(C))) | ((~constant(sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))))) | (~(sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) = sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))))) | increases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) | decreases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) | constant(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))))) <=> ((~![B: $i, A: $i, C: $i] : ((~constant(A)) | (~(A = sum(B, C))) | increases(C) | decreases(C) | constant(C))) | decreases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) | increases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) | constant(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))))))),
% 0.20/0.59 inference(transitivity,[status(thm)],[798, 794])).
% 0.20/0.59 tff(800,plain,
% 0.20/0.59 ((~![B: $i, A: $i, C: $i] : ((~constant(A)) | (~(A = sum(B, C))) | increases(C) | decreases(C) | constant(C))) | ((~constant(sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))))) | (~(sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) = sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))))) | increases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) | decreases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) | constant(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))))),
% 0.20/0.59 inference(quant_inst,[status(thm)],[])).
% 0.20/0.59 tff(801,plain,
% 0.20/0.59 ((~![B: $i, A: $i, C: $i] : ((~constant(A)) | (~(A = sum(B, C))) | increases(C) | decreases(C) | constant(C))) | decreases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) | increases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) | constant(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))))))),
% 0.20/0.59 inference(modus_ponens,[status(thm)],[800, 799])).
% 0.20/0.59 tff(802,plain,
% 0.20/0.59 (decreases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) | increases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) | constant(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))))))),
% 0.20/0.59 inference(unit_resolution,[status(thm)],[801, 793])).
% 0.20/0.59 tff(803,plain,
% 0.20/0.59 (constant(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))))),
% 0.20/0.59 inference(unit_resolution,[status(thm)],[802, 740, 732, 731])).
% 0.20/0.59 tff(804,plain,
% 0.20/0.59 (((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(cardinality_at_time(efficient_producers, B), zero))) | ((~environment(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | greater(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))), zero))) <=> ((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(cardinality_at_time(efficient_producers, B), zero))) | (~environment(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | greater(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))), zero))),
% 0.20/0.59 inference(rewrite,[status(thm)],[])).
% 0.20/0.59 tff(805,plain,
% 0.20/0.59 (((~subpopulations(first_movers, efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | (~environment(sk3)) | greater(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))), zero)) <=> ((~environment(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | greater(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))), zero))),
% 0.20/0.59 inference(rewrite,[status(thm)],[])).
% 0.20/0.59 tff(806,plain,
% 0.20/0.59 (((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(cardinality_at_time(efficient_producers, B), zero))) | ((~subpopulations(first_movers, efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | (~environment(sk3)) | greater(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))), zero))) <=> ((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(cardinality_at_time(efficient_producers, B), zero))) | ((~environment(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | greater(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))), zero)))),
% 0.20/0.59 inference(monotonicity,[status(thm)],[805])).
% 0.20/0.59 tff(807,plain,
% 0.20/0.59 (((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(cardinality_at_time(efficient_producers, B), zero))) | ((~subpopulations(first_movers, efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | (~environment(sk3)) | greater(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))), zero))) <=> ((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(cardinality_at_time(efficient_producers, B), zero))) | (~environment(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | greater(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))), zero))),
% 0.20/0.59 inference(transitivity,[status(thm)],[806, 804])).
% 0.20/0.59 tff(808,plain,
% 0.20/0.59 ((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(cardinality_at_time(efficient_producers, B), zero))) | ((~subpopulations(first_movers, efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | (~environment(sk3)) | greater(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))), zero))),
% 0.20/0.59 inference(quant_inst,[status(thm)],[])).
% 0.20/0.59 tff(809,plain,
% 0.20/0.59 ((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(cardinality_at_time(efficient_producers, B), zero))) | (~environment(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | greater(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))), zero)),
% 0.20/0.59 inference(modus_ponens,[status(thm)],[808, 807])).
% 0.20/0.59 tff(810,plain,
% 0.20/0.59 (greater(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))), zero)),
% 0.20/0.59 inference(unit_resolution,[status(thm)],[809, 354, 32, 659])).
% 0.20/0.59 tff(811,plain,
% 0.20/0.59 (((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (growth_rate(C, B) = zero) | (~constant(cardinality_at_time(C, B))) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)))) | ((~environment(sk3)) | (~greater(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))), zero)) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | (~subpopulation(efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | (growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))) = zero) | (~constant(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))))))) <=> ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (growth_rate(C, B) = zero) | (~constant(cardinality_at_time(C, B))) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)))) | (~environment(sk3)) | (~greater(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))), zero)) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | (~subpopulation(efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | (growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))) = zero) | (~constant(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))))))),
% 0.20/0.59 inference(rewrite,[status(thm)],[])).
% 0.20/0.59 tff(812,plain,
% 0.20/0.59 (((~environment(sk3)) | (growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))) = zero) | (~constant(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))))) | (~greater(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))), zero)) | (~subpopulation(efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | (~in_environment(sk3, sk4(sk4(sk1(sk3)))))) <=> ((~environment(sk3)) | (~greater(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))), zero)) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | (~subpopulation(efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | (growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))) = zero) | (~constant(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))))))),
% 0.20/0.59 inference(rewrite,[status(thm)],[])).
% 0.20/0.59 tff(813,plain,
% 0.20/0.59 (((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (growth_rate(C, B) = zero) | (~constant(cardinality_at_time(C, B))) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)))) | ((~environment(sk3)) | (growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))) = zero) | (~constant(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))))) | (~greater(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))), zero)) | (~subpopulation(efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))))) <=> ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (growth_rate(C, B) = zero) | (~constant(cardinality_at_time(C, B))) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)))) | ((~environment(sk3)) | (~greater(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))), zero)) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | (~subpopulation(efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | (growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))) = zero) | (~constant(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))))))),
% 0.20/0.59 inference(monotonicity,[status(thm)],[812])).
% 0.20/0.59 tff(814,plain,
% 0.20/0.59 (((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (growth_rate(C, B) = zero) | (~constant(cardinality_at_time(C, B))) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)))) | ((~environment(sk3)) | (growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))) = zero) | (~constant(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))))) | (~greater(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))), zero)) | (~subpopulation(efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))))) <=> ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (growth_rate(C, B) = zero) | (~constant(cardinality_at_time(C, B))) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)))) | (~environment(sk3)) | (~greater(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))), zero)) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | (~subpopulation(efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | (growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))) = zero) | (~constant(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))))))),
% 0.50/0.59 inference(transitivity,[status(thm)],[813, 811])).
% 0.50/0.59 tff(815,plain,
% 0.50/0.59 ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (growth_rate(C, B) = zero) | (~constant(cardinality_at_time(C, B))) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)))) | ((~environment(sk3)) | (growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))) = zero) | (~constant(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))))) | (~greater(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))), zero)) | (~subpopulation(efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))))),
% 0.50/0.59 inference(quant_inst,[status(thm)],[])).
% 0.50/0.59 tff(816,plain,
% 0.50/0.59 ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (growth_rate(C, B) = zero) | (~constant(cardinality_at_time(C, B))) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)))) | (~environment(sk3)) | (~greater(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))), zero)) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | (~subpopulation(efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | (growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))) = zero) | (~constant(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))))),
% 0.50/0.59 inference(modus_ponens,[status(thm)],[815, 814])).
% 0.50/0.59 tff(817,plain,
% 0.50/0.59 ((growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))) = zero) | (~constant(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))))),
% 0.50/0.59 inference(unit_resolution,[status(thm)],[816, 314, 32, 810, 666, 697])).
% 0.50/0.59 tff(818,plain,
% 0.50/0.59 (growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))) = zero),
% 0.50/0.59 inference(unit_resolution,[status(thm)],[817, 803])).
% 0.50/0.59 tff(819,plain,
% 0.50/0.59 (growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))) = growth_rate(first_movers, sk4(sk4(sk1(sk3))))),
% 0.50/0.59 inference(transitivity,[status(thm)],[818, 783])).
% 0.50/0.59 tff(820,assumption,(~(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))) = growth_rate(first_movers, sk4(sk4(sk1(sk3)))))), introduced(assumption)).
% 0.50/0.59 tff(821,plain,
% 0.50/0.59 ($false),
% 0.50/0.59 inference(unit_resolution,[status(thm)],[820, 819])).
% 0.50/0.59 tff(822,plain,(decreases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) | (growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))) = growth_rate(first_movers, sk4(sk4(sk1(sk3))))) | increases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))))))), inference(lemma,lemma(discharge,[]))).
% 0.50/0.59 tff(823,plain,
% 0.50/0.59 (decreases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))))),
% 0.50/0.59 inference(unit_resolution,[status(thm)],[822, 732, 739, 731])).
% 0.50/0.59 tff(824,plain,
% 0.50/0.59 (((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(zero, growth_rate(C, B)) | (~decreases(cardinality_at_time(C, B))))) | ((~environment(sk3)) | (~greater(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))), zero)) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | (~subpopulation(efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | greater(zero, growth_rate(efficient_producers, sk4(sk4(sk1(sk3))))) | (~decreases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))))))) <=> ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(zero, growth_rate(C, B)) | (~decreases(cardinality_at_time(C, B))))) | (~environment(sk3)) | (~greater(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))), zero)) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | (~subpopulation(efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | greater(zero, growth_rate(efficient_producers, sk4(sk4(sk1(sk3))))) | (~decreases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))))))),
% 0.50/0.59 inference(rewrite,[status(thm)],[])).
% 0.50/0.59 tff(825,plain,
% 0.50/0.59 (((~environment(sk3)) | (~greater(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))), zero)) | (~subpopulation(efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | greater(zero, growth_rate(efficient_producers, sk4(sk4(sk1(sk3))))) | (~decreases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))))) <=> ((~environment(sk3)) | (~greater(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))), zero)) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | (~subpopulation(efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | greater(zero, growth_rate(efficient_producers, sk4(sk4(sk1(sk3))))) | (~decreases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))))))),
% 0.50/0.59 inference(rewrite,[status(thm)],[])).
% 0.50/0.59 tff(826,plain,
% 0.50/0.59 (((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(zero, growth_rate(C, B)) | (~decreases(cardinality_at_time(C, B))))) | ((~environment(sk3)) | (~greater(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))), zero)) | (~subpopulation(efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | greater(zero, growth_rate(efficient_producers, sk4(sk4(sk1(sk3))))) | (~decreases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))))))) <=> ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(zero, growth_rate(C, B)) | (~decreases(cardinality_at_time(C, B))))) | ((~environment(sk3)) | (~greater(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))), zero)) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | (~subpopulation(efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | greater(zero, growth_rate(efficient_producers, sk4(sk4(sk1(sk3))))) | (~decreases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))))))),
% 0.50/0.59 inference(monotonicity,[status(thm)],[825])).
% 0.50/0.59 tff(827,plain,
% 0.50/0.59 (((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(zero, growth_rate(C, B)) | (~decreases(cardinality_at_time(C, B))))) | ((~environment(sk3)) | (~greater(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))), zero)) | (~subpopulation(efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | greater(zero, growth_rate(efficient_producers, sk4(sk4(sk1(sk3))))) | (~decreases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))))))) <=> ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(zero, growth_rate(C, B)) | (~decreases(cardinality_at_time(C, B))))) | (~environment(sk3)) | (~greater(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))), zero)) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | (~subpopulation(efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | greater(zero, growth_rate(efficient_producers, sk4(sk4(sk1(sk3))))) | (~decreases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))))))),
% 0.50/0.59 inference(transitivity,[status(thm)],[826, 824])).
% 0.50/0.59 tff(828,plain,
% 0.50/0.59 ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(zero, growth_rate(C, B)) | (~decreases(cardinality_at_time(C, B))))) | ((~environment(sk3)) | (~greater(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))), zero)) | (~subpopulation(efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | greater(zero, growth_rate(efficient_producers, sk4(sk4(sk1(sk3))))) | (~decreases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))))))),
% 0.50/0.59 inference(quant_inst,[status(thm)],[])).
% 0.50/0.59 tff(829,plain,
% 0.50/0.59 ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(zero, growth_rate(C, B)) | (~decreases(cardinality_at_time(C, B))))) | (~environment(sk3)) | (~greater(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))), zero)) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | (~subpopulation(efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | greater(zero, growth_rate(efficient_producers, sk4(sk4(sk1(sk3))))) | (~decreases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))))),
% 0.50/0.59 inference(modus_ponens,[status(thm)],[828, 827])).
% 0.50/0.59 tff(830,plain,
% 0.50/0.59 (greater(zero, growth_rate(efficient_producers, sk4(sk4(sk1(sk3))))) | (~decreases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))))),
% 0.50/0.59 inference(unit_resolution,[status(thm)],[829, 468, 32, 810, 666, 697])).
% 0.50/0.59 tff(831,plain,
% 0.50/0.59 (greater(zero, growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))))),
% 0.50/0.59 inference(unit_resolution,[status(thm)],[830, 823])).
% 0.50/0.59 tff(832,plain,
% 0.50/0.59 (((~![B: $i, A: $i] : ((~(A = B)) | (~greater(A, B)))) | ((~(zero = growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))))) | (~greater(zero, growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))))))) <=> ((~![B: $i, A: $i] : ((~(A = B)) | (~greater(A, B)))) | (~(zero = growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))))) | (~greater(zero, growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))))))),
% 0.50/0.59 inference(rewrite,[status(thm)],[])).
% 0.50/0.59 tff(833,plain,
% 0.50/0.59 ((~![B: $i, A: $i] : ((~(A = B)) | (~greater(A, B)))) | ((~(zero = growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))))) | (~greater(zero, growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))))))),
% 0.50/0.59 inference(quant_inst,[status(thm)],[])).
% 0.50/0.59 tff(834,plain,
% 0.50/0.59 ((~![B: $i, A: $i] : ((~(A = B)) | (~greater(A, B)))) | (~(zero = growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))))) | (~greater(zero, growth_rate(efficient_producers, sk4(sk4(sk1(sk3))))))),
% 0.50/0.59 inference(modus_ponens,[status(thm)],[833, 832])).
% 0.50/0.59 tff(835,plain,
% 0.50/0.59 (~(zero = growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))))),
% 0.50/0.59 inference(unit_resolution,[status(thm)],[834, 401, 831])).
% 0.50/0.59 tff(836,plain,
% 0.50/0.59 (~(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))) = zero)),
% 0.50/0.59 inference(modus_ponens,[status(thm)],[835, 734])).
% 0.50/0.59 tff(837,plain,
% 0.50/0.59 (~constant(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))))),
% 0.50/0.59 inference(unit_resolution,[status(thm)],[817, 836])).
% 0.50/0.59 tff(838,plain,
% 0.50/0.59 (((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(zero, growth_rate(first_movers, sk4(sk4(sk1(sk3))))) | (~greater(zero, growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))))) | (~greater(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), growth_rate(first_movers, sk4(sk4(sk1(sk3)))))))) <=> ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | greater(zero, growth_rate(first_movers, sk4(sk4(sk1(sk3))))) | (~greater(zero, growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))))) | (~greater(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), growth_rate(first_movers, sk4(sk4(sk1(sk3)))))))),
% 0.50/0.59 inference(rewrite,[status(thm)],[])).
% 0.50/0.59 tff(839,plain,
% 0.50/0.59 ((greater(zero, growth_rate(first_movers, sk4(sk4(sk1(sk3))))) | (~greater(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), growth_rate(first_movers, sk4(sk4(sk1(sk3)))))) | (~greater(zero, growth_rate(efficient_producers, sk4(sk4(sk1(sk3))))))) <=> (greater(zero, growth_rate(first_movers, sk4(sk4(sk1(sk3))))) | (~greater(zero, growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))))) | (~greater(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), growth_rate(first_movers, sk4(sk4(sk1(sk3)))))))),
% 0.50/0.60 inference(rewrite,[status(thm)],[])).
% 0.50/0.60 tff(840,plain,
% 0.50/0.60 (((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(zero, growth_rate(first_movers, sk4(sk4(sk1(sk3))))) | (~greater(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), growth_rate(first_movers, sk4(sk4(sk1(sk3)))))) | (~greater(zero, growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))))))) <=> ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(zero, growth_rate(first_movers, sk4(sk4(sk1(sk3))))) | (~greater(zero, growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))))) | (~greater(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), growth_rate(first_movers, sk4(sk4(sk1(sk3))))))))),
% 0.50/0.60 inference(monotonicity,[status(thm)],[839])).
% 0.50/0.60 tff(841,plain,
% 0.50/0.60 (((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(zero, growth_rate(first_movers, sk4(sk4(sk1(sk3))))) | (~greater(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), growth_rate(first_movers, sk4(sk4(sk1(sk3)))))) | (~greater(zero, growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))))))) <=> ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | greater(zero, growth_rate(first_movers, sk4(sk4(sk1(sk3))))) | (~greater(zero, growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))))) | (~greater(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), growth_rate(first_movers, sk4(sk4(sk1(sk3)))))))),
% 0.50/0.60 inference(transitivity,[status(thm)],[840, 838])).
% 0.50/0.60 tff(842,plain,
% 0.50/0.60 ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(zero, growth_rate(first_movers, sk4(sk4(sk1(sk3))))) | (~greater(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), growth_rate(first_movers, sk4(sk4(sk1(sk3)))))) | (~greater(zero, growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))))))),
% 0.50/0.60 inference(quant_inst,[status(thm)],[])).
% 0.50/0.60 tff(843,plain,
% 0.50/0.60 ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | greater(zero, growth_rate(first_movers, sk4(sk4(sk1(sk3))))) | (~greater(zero, growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))))) | (~greater(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), growth_rate(first_movers, sk4(sk4(sk1(sk3))))))),
% 0.50/0.60 inference(modus_ponens,[status(thm)],[842, 841])).
% 0.50/0.60 tff(844,plain,
% 0.50/0.60 (greater(zero, growth_rate(first_movers, sk4(sk4(sk1(sk3)))))),
% 0.50/0.60 inference(unit_resolution,[status(thm)],[843, 69, 735, 831])).
% 0.50/0.60 tff(845,plain,
% 0.50/0.60 (((~![B: $i, A: $i] : ((~greater(A, B)) | (~greater(B, A)))) | ((~greater(zero, growth_rate(first_movers, sk4(sk4(sk1(sk3)))))) | (~greater(growth_rate(first_movers, sk4(sk4(sk1(sk3)))), zero)))) <=> ((~![B: $i, A: $i] : ((~greater(A, B)) | (~greater(B, A)))) | (~greater(zero, growth_rate(first_movers, sk4(sk4(sk1(sk3)))))) | (~greater(growth_rate(first_movers, sk4(sk4(sk1(sk3)))), zero)))),
% 0.50/0.60 inference(rewrite,[status(thm)],[])).
% 0.50/0.60 tff(846,plain,
% 0.50/0.60 (((~greater(growth_rate(first_movers, sk4(sk4(sk1(sk3)))), zero)) | (~greater(zero, growth_rate(first_movers, sk4(sk4(sk1(sk3))))))) <=> ((~greater(zero, growth_rate(first_movers, sk4(sk4(sk1(sk3)))))) | (~greater(growth_rate(first_movers, sk4(sk4(sk1(sk3)))), zero)))),
% 0.50/0.60 inference(rewrite,[status(thm)],[])).
% 0.50/0.60 tff(847,plain,
% 0.50/0.60 (((~![B: $i, A: $i] : ((~greater(A, B)) | (~greater(B, A)))) | ((~greater(growth_rate(first_movers, sk4(sk4(sk1(sk3)))), zero)) | (~greater(zero, growth_rate(first_movers, sk4(sk4(sk1(sk3)))))))) <=> ((~![B: $i, A: $i] : ((~greater(A, B)) | (~greater(B, A)))) | ((~greater(zero, growth_rate(first_movers, sk4(sk4(sk1(sk3)))))) | (~greater(growth_rate(first_movers, sk4(sk4(sk1(sk3)))), zero))))),
% 0.50/0.60 inference(monotonicity,[status(thm)],[846])).
% 0.50/0.60 tff(848,plain,
% 0.50/0.60 (((~![B: $i, A: $i] : ((~greater(A, B)) | (~greater(B, A)))) | ((~greater(growth_rate(first_movers, sk4(sk4(sk1(sk3)))), zero)) | (~greater(zero, growth_rate(first_movers, sk4(sk4(sk1(sk3)))))))) <=> ((~![B: $i, A: $i] : ((~greater(A, B)) | (~greater(B, A)))) | (~greater(zero, growth_rate(first_movers, sk4(sk4(sk1(sk3)))))) | (~greater(growth_rate(first_movers, sk4(sk4(sk1(sk3)))), zero)))),
% 0.50/0.60 inference(transitivity,[status(thm)],[847, 845])).
% 0.50/0.60 tff(849,plain,
% 0.50/0.60 ((~![B: $i, A: $i] : ((~greater(A, B)) | (~greater(B, A)))) | ((~greater(growth_rate(first_movers, sk4(sk4(sk1(sk3)))), zero)) | (~greater(zero, growth_rate(first_movers, sk4(sk4(sk1(sk3)))))))),
% 0.50/0.60 inference(quant_inst,[status(thm)],[])).
% 0.50/0.60 tff(850,plain,
% 0.50/0.60 ((~![B: $i, A: $i] : ((~greater(A, B)) | (~greater(B, A)))) | (~greater(zero, growth_rate(first_movers, sk4(sk4(sk1(sk3)))))) | (~greater(growth_rate(first_movers, sk4(sk4(sk1(sk3)))), zero))),
% 0.50/0.60 inference(modus_ponens,[status(thm)],[849, 848])).
% 0.50/0.60 tff(851,plain,
% 0.50/0.60 (~greater(growth_rate(first_movers, sk4(sk4(sk1(sk3)))), zero)),
% 0.50/0.60 inference(unit_resolution,[status(thm)],[850, 483, 844])).
% 0.50/0.60 tff(852,plain,
% 0.50/0.60 (((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(growth_rate(C, B), zero) | (~increases(cardinality_at_time(C, B))))) | ((~environment(sk3)) | (~greater(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), zero)) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | (~subpopulation(first_movers, sk3, sk4(sk4(sk1(sk3))))) | greater(growth_rate(first_movers, sk4(sk4(sk1(sk3)))), zero) | (~increases(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))))))) <=> ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(growth_rate(C, B), zero) | (~increases(cardinality_at_time(C, B))))) | (~environment(sk3)) | (~greater(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), zero)) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | (~subpopulation(first_movers, sk3, sk4(sk4(sk1(sk3))))) | greater(growth_rate(first_movers, sk4(sk4(sk1(sk3)))), zero) | (~increases(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))))))),
% 0.50/0.60 inference(rewrite,[status(thm)],[])).
% 0.50/0.60 tff(853,plain,
% 0.50/0.60 (((~environment(sk3)) | (~greater(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), zero)) | (~subpopulation(first_movers, sk3, sk4(sk4(sk1(sk3))))) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | greater(growth_rate(first_movers, sk4(sk4(sk1(sk3)))), zero) | (~increases(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3))))))) <=> ((~environment(sk3)) | (~greater(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), zero)) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | (~subpopulation(first_movers, sk3, sk4(sk4(sk1(sk3))))) | greater(growth_rate(first_movers, sk4(sk4(sk1(sk3)))), zero) | (~increases(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))))))),
% 0.50/0.60 inference(rewrite,[status(thm)],[])).
% 0.50/0.60 tff(854,plain,
% 0.50/0.60 (((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(growth_rate(C, B), zero) | (~increases(cardinality_at_time(C, B))))) | ((~environment(sk3)) | (~greater(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), zero)) | (~subpopulation(first_movers, sk3, sk4(sk4(sk1(sk3))))) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | greater(growth_rate(first_movers, sk4(sk4(sk1(sk3)))), zero) | (~increases(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))))))) <=> ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(growth_rate(C, B), zero) | (~increases(cardinality_at_time(C, B))))) | ((~environment(sk3)) | (~greater(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), zero)) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | (~subpopulation(first_movers, sk3, sk4(sk4(sk1(sk3))))) | greater(growth_rate(first_movers, sk4(sk4(sk1(sk3)))), zero) | (~increases(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3))))))))),
% 0.50/0.60 inference(monotonicity,[status(thm)],[853])).
% 0.50/0.60 tff(855,plain,
% 0.50/0.60 (((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(growth_rate(C, B), zero) | (~increases(cardinality_at_time(C, B))))) | ((~environment(sk3)) | (~greater(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), zero)) | (~subpopulation(first_movers, sk3, sk4(sk4(sk1(sk3))))) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | greater(growth_rate(first_movers, sk4(sk4(sk1(sk3)))), zero) | (~increases(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))))))) <=> ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(growth_rate(C, B), zero) | (~increases(cardinality_at_time(C, B))))) | (~environment(sk3)) | (~greater(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), zero)) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | (~subpopulation(first_movers, sk3, sk4(sk4(sk1(sk3))))) | greater(growth_rate(first_movers, sk4(sk4(sk1(sk3)))), zero) | (~increases(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))))))),
% 0.50/0.60 inference(transitivity,[status(thm)],[854, 852])).
% 0.50/0.60 tff(856,plain,
% 0.50/0.60 ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(growth_rate(C, B), zero) | (~increases(cardinality_at_time(C, B))))) | ((~environment(sk3)) | (~greater(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), zero)) | (~subpopulation(first_movers, sk3, sk4(sk4(sk1(sk3))))) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | greater(growth_rate(first_movers, sk4(sk4(sk1(sk3)))), zero) | (~increases(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))))))),
% 0.50/0.60 inference(quant_inst,[status(thm)],[])).
% 0.50/0.60 tff(857,plain,
% 0.50/0.60 ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(growth_rate(C, B), zero) | (~increases(cardinality_at_time(C, B))))) | (~environment(sk3)) | (~greater(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), zero)) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | (~subpopulation(first_movers, sk3, sk4(sk4(sk1(sk3))))) | greater(growth_rate(first_movers, sk4(sk4(sk1(sk3)))), zero) | (~increases(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3))))))),
% 0.50/0.60 inference(modus_ponens,[status(thm)],[856, 855])).
% 0.50/0.60 tff(858,plain,
% 0.50/0.60 (greater(growth_rate(first_movers, sk4(sk4(sk1(sk3)))), zero) | (~increases(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3))))))),
% 0.50/0.60 inference(unit_resolution,[status(thm)],[857, 418, 32, 774, 666, 767])).
% 0.50/0.60 tff(859,plain,
% 0.50/0.60 (~increases(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))))),
% 0.50/0.60 inference(unit_resolution,[status(thm)],[858, 851])).
% 0.50/0.60 tff(860,plain,
% 0.50/0.60 (((~![B: $i, A: $i, C: $i] : (increases(B) | (~constant(A)) | (~(A = sum(B, C))) | increases(C) | constant(C))) | (increases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) | constant(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) | increases(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3))))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))))))) <=> ((~![B: $i, A: $i, C: $i] : (increases(B) | (~constant(A)) | (~(A = sum(B, C))) | increases(C) | constant(C))) | increases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) | constant(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) | increases(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3))))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))))))),
% 0.50/0.60 inference(rewrite,[status(thm)],[])).
% 0.50/0.60 tff(861,plain,
% 0.50/0.60 ((increases(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3))))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))))) | $false | increases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) | constant(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))))) <=> (increases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) | constant(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) | increases(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3))))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))))))),
% 0.50/0.60 inference(rewrite,[status(thm)],[])).
% 0.50/0.60 tff(862,plain,
% 0.50/0.60 ((increases(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3))))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))))) | (~(sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) = sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))))) | increases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) | constant(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))))) <=> (increases(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3))))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))))) | $false | increases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) | constant(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))))),
% 0.50/0.60 inference(monotonicity,[status(thm)],[755])).
% 0.50/0.60 tff(863,plain,
% 0.50/0.60 ((increases(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3))))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))))) | (~(sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) = sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))))) | increases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) | constant(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))))) <=> (increases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) | constant(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) | increases(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3))))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))))))),
% 0.50/0.60 inference(transitivity,[status(thm)],[862, 861])).
% 0.50/0.60 tff(864,plain,
% 0.50/0.60 (((~![B: $i, A: $i, C: $i] : (increases(B) | (~constant(A)) | (~(A = sum(B, C))) | increases(C) | constant(C))) | (increases(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3))))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))))) | (~(sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) = sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))))) | increases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) | constant(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))))) <=> ((~![B: $i, A: $i, C: $i] : (increases(B) | (~constant(A)) | (~(A = sum(B, C))) | increases(C) | constant(C))) | (increases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) | constant(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) | increases(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3))))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))))))))),
% 0.50/0.60 inference(monotonicity,[status(thm)],[863])).
% 0.50/0.60 tff(865,plain,
% 0.50/0.60 (((~![B: $i, A: $i, C: $i] : (increases(B) | (~constant(A)) | (~(A = sum(B, C))) | increases(C) | constant(C))) | (increases(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3))))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))))) | (~(sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) = sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))))) | increases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) | constant(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))))) <=> ((~![B: $i, A: $i, C: $i] : (increases(B) | (~constant(A)) | (~(A = sum(B, C))) | increases(C) | constant(C))) | increases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) | constant(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) | increases(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3))))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))))))),
% 0.50/0.60 inference(transitivity,[status(thm)],[864, 860])).
% 0.50/0.60 tff(866,plain,
% 0.50/0.60 ((~![B: $i, A: $i, C: $i] : (increases(B) | (~constant(A)) | (~(A = sum(B, C))) | increases(C) | constant(C))) | (increases(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3))))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))))) | (~(sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) = sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))))) | increases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) | constant(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))))),
% 0.50/0.60 inference(quant_inst,[status(thm)],[])).
% 0.50/0.60 tff(867,plain,
% 0.50/0.60 ((~![B: $i, A: $i, C: $i] : (increases(B) | (~constant(A)) | (~(A = sum(B, C))) | increases(C) | constant(C))) | increases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) | constant(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) | increases(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3))))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))))))),
% 0.50/0.60 inference(modus_ponens,[status(thm)],[866, 865])).
% 0.50/0.60 tff(868,plain,
% 0.50/0.60 (increases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) | constant(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) | increases(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3))))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))))))),
% 0.50/0.60 inference(unit_resolution,[status(thm)],[867, 561])).
% 0.50/0.60 tff(869,plain,
% 0.50/0.60 ($false),
% 0.50/0.60 inference(unit_resolution,[status(thm)],[868, 859, 837, 732, 731])).
% 0.50/0.60 tff(870,plain,(increases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))))) | (~greater(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), growth_rate(first_movers, sk4(sk4(sk1(sk3))))))), inference(lemma,lemma(discharge,[]))).
% 0.50/0.60 tff(871,plain,
% 0.50/0.60 (increases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) | (~greater(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), growth_rate(first_movers, sk4(sk4(sk1(sk3))))))),
% 0.50/0.60 inference(unit_resolution,[status(thm)],[870, 730])).
% 0.50/0.60 tff(872,plain,
% 0.50/0.60 (increases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))))),
% 0.50/0.60 inference(unit_resolution,[status(thm)],[871, 693])).
% 0.50/0.60 tff(873,plain,
% 0.50/0.60 (((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(growth_rate(C, B), zero) | (~increases(cardinality_at_time(C, B))))) | ((~environment(sk3)) | (~greater(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))), zero)) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | (~subpopulation(efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | greater(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), zero) | (~increases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))))))) <=> ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(growth_rate(C, B), zero) | (~increases(cardinality_at_time(C, B))))) | (~environment(sk3)) | (~greater(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))), zero)) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | (~subpopulation(efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | greater(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), zero) | (~increases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))))))),
% 0.50/0.60 inference(rewrite,[status(thm)],[])).
% 0.50/0.60 tff(874,plain,
% 0.50/0.60 (((~environment(sk3)) | (~greater(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))), zero)) | (~subpopulation(efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | greater(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), zero) | (~increases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))))) <=> ((~environment(sk3)) | (~greater(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))), zero)) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | (~subpopulation(efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | greater(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), zero) | (~increases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))))))),
% 0.50/0.60 inference(rewrite,[status(thm)],[])).
% 0.50/0.60 tff(875,plain,
% 0.50/0.60 (((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(growth_rate(C, B), zero) | (~increases(cardinality_at_time(C, B))))) | ((~environment(sk3)) | (~greater(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))), zero)) | (~subpopulation(efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | greater(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), zero) | (~increases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))))))) <=> ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(growth_rate(C, B), zero) | (~increases(cardinality_at_time(C, B))))) | ((~environment(sk3)) | (~greater(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))), zero)) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | (~subpopulation(efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | greater(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), zero) | (~increases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))))))),
% 0.50/0.60 inference(monotonicity,[status(thm)],[874])).
% 0.50/0.60 tff(876,plain,
% 0.50/0.60 (((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(growth_rate(C, B), zero) | (~increases(cardinality_at_time(C, B))))) | ((~environment(sk3)) | (~greater(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))), zero)) | (~subpopulation(efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | greater(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), zero) | (~increases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))))))) <=> ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(growth_rate(C, B), zero) | (~increases(cardinality_at_time(C, B))))) | (~environment(sk3)) | (~greater(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))), zero)) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | (~subpopulation(efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | greater(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), zero) | (~increases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))))))),
% 0.50/0.60 inference(transitivity,[status(thm)],[875, 873])).
% 0.50/0.60 tff(877,plain,
% 0.50/0.60 ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(growth_rate(C, B), zero) | (~increases(cardinality_at_time(C, B))))) | ((~environment(sk3)) | (~greater(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))), zero)) | (~subpopulation(efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | greater(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), zero) | (~increases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))))))),
% 0.50/0.61 inference(quant_inst,[status(thm)],[])).
% 0.50/0.61 tff(878,plain,
% 0.50/0.61 ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(growth_rate(C, B), zero) | (~increases(cardinality_at_time(C, B))))) | (~environment(sk3)) | (~greater(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))), zero)) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | (~subpopulation(efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | greater(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), zero) | (~increases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))))),
% 0.50/0.61 inference(modus_ponens,[status(thm)],[877, 876])).
% 0.50/0.61 tff(879,plain,
% 0.50/0.61 (greater(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), zero) | (~increases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))))),
% 0.50/0.61 inference(unit_resolution,[status(thm)],[878, 418, 32, 810, 666, 697])).
% 0.50/0.61 tff(880,plain,
% 0.50/0.61 (greater(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), zero)),
% 0.50/0.61 inference(unit_resolution,[status(thm)],[879, 872])).
% 0.50/0.61 tff(881,plain,
% 0.50/0.61 (((~![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))) | ((~greater(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), zero)) | greater_or_equal(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), zero))) <=> ((~![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))) | (~greater(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), zero)) | greater_or_equal(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), zero))),
% 0.50/0.61 inference(rewrite,[status(thm)],[])).
% 0.50/0.61 tff(882,plain,
% 0.50/0.61 ((~![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))) | ((~greater(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), zero)) | greater_or_equal(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), zero))),
% 0.50/0.61 inference(quant_inst,[status(thm)],[])).
% 0.50/0.61 tff(883,plain,
% 0.50/0.61 ((~![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))) | (~greater(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), zero)) | greater_or_equal(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), zero)),
% 0.50/0.61 inference(modus_ponens,[status(thm)],[882, 881])).
% 0.50/0.61 tff(884,plain,
% 0.50/0.61 (greater_or_equal(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), zero)),
% 0.50/0.61 inference(unit_resolution,[status(thm)],[883, 19, 880])).
% 0.50/0.61 tff(885,plain,
% 0.50/0.61 (((~![A: $i] : ((~in_environment(sk3, A)) | (~outcompetes(efficient_producers, first_movers, sk4(A))))) | ((~in_environment(sk3, sk4(sk1(sk3)))) | (~outcompetes(efficient_producers, first_movers, sk4(sk4(sk1(sk3))))))) <=> ((~![A: $i] : ((~in_environment(sk3, A)) | (~outcompetes(efficient_producers, first_movers, sk4(A))))) | (~in_environment(sk3, sk4(sk1(sk3)))) | (~outcompetes(efficient_producers, first_movers, sk4(sk4(sk1(sk3))))))),
% 0.52/0.61 inference(rewrite,[status(thm)],[])).
% 0.52/0.61 tff(886,plain,
% 0.52/0.61 ((~![A: $i] : ((~in_environment(sk3, A)) | (~outcompetes(efficient_producers, first_movers, sk4(A))))) | ((~in_environment(sk3, sk4(sk1(sk3)))) | (~outcompetes(efficient_producers, first_movers, sk4(sk4(sk1(sk3))))))),
% 0.52/0.61 inference(quant_inst,[status(thm)],[])).
% 0.52/0.61 tff(887,plain,
% 0.52/0.61 ((~![A: $i] : ((~in_environment(sk3, A)) | (~outcompetes(efficient_producers, first_movers, sk4(A))))) | (~in_environment(sk3, sk4(sk1(sk3)))) | (~outcompetes(efficient_producers, first_movers, sk4(sk4(sk1(sk3)))))),
% 0.52/0.61 inference(modus_ponens,[status(thm)],[886, 885])).
% 0.52/0.61 tff(888,plain,
% 0.52/0.61 (~outcompetes(efficient_producers, first_movers, sk4(sk4(sk1(sk3))))),
% 0.52/0.61 inference(unit_resolution,[status(thm)],[887, 512, 132])).
% 0.52/0.61 tff(889,plain,
% 0.52/0.61 (((~![B: $i, D: $i, A: $i, C: $i] : ((~environment(A)) | outcompetes(C, B, D) | (~greater(zero, growth_rate(B, D))) | (~greater_or_equal(growth_rate(C, D), zero)) | (~subpopulations(B, C, A, D)))) | ((~environment(sk3)) | outcompetes(efficient_producers, first_movers, sk4(sk4(sk1(sk3)))) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | (~greater(zero, growth_rate(first_movers, sk4(sk4(sk1(sk3)))))) | (~greater_or_equal(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), zero)))) <=> ((~![B: $i, D: $i, A: $i, C: $i] : ((~environment(A)) | outcompetes(C, B, D) | (~greater(zero, growth_rate(B, D))) | (~greater_or_equal(growth_rate(C, D), zero)) | (~subpopulations(B, C, A, D)))) | (~environment(sk3)) | outcompetes(efficient_producers, first_movers, sk4(sk4(sk1(sk3)))) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | (~greater(zero, growth_rate(first_movers, sk4(sk4(sk1(sk3)))))) | (~greater_or_equal(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), zero)))),
% 0.52/0.61 inference(rewrite,[status(thm)],[])).
% 0.52/0.61 tff(890,plain,
% 0.52/0.61 (((~environment(sk3)) | outcompetes(efficient_producers, first_movers, sk4(sk4(sk1(sk3)))) | (~greater(zero, growth_rate(first_movers, sk4(sk4(sk1(sk3)))))) | (~greater_or_equal(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), zero)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk4(sk1(sk3)))))) <=> ((~environment(sk3)) | outcompetes(efficient_producers, first_movers, sk4(sk4(sk1(sk3)))) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | (~greater(zero, growth_rate(first_movers, sk4(sk4(sk1(sk3)))))) | (~greater_or_equal(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), zero)))),
% 0.52/0.61 inference(rewrite,[status(thm)],[])).
% 0.52/0.61 tff(891,plain,
% 0.52/0.61 (((~![B: $i, D: $i, A: $i, C: $i] : ((~environment(A)) | outcompetes(C, B, D) | (~greater(zero, growth_rate(B, D))) | (~greater_or_equal(growth_rate(C, D), zero)) | (~subpopulations(B, C, A, D)))) | ((~environment(sk3)) | outcompetes(efficient_producers, first_movers, sk4(sk4(sk1(sk3)))) | (~greater(zero, growth_rate(first_movers, sk4(sk4(sk1(sk3)))))) | (~greater_or_equal(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), zero)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk4(sk1(sk3))))))) <=> ((~![B: $i, D: $i, A: $i, C: $i] : ((~environment(A)) | outcompetes(C, B, D) | (~greater(zero, growth_rate(B, D))) | (~greater_or_equal(growth_rate(C, D), zero)) | (~subpopulations(B, C, A, D)))) | ((~environment(sk3)) | outcompetes(efficient_producers, first_movers, sk4(sk4(sk1(sk3)))) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | (~greater(zero, growth_rate(first_movers, sk4(sk4(sk1(sk3)))))) | (~greater_or_equal(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), zero))))),
% 0.52/0.61 inference(monotonicity,[status(thm)],[890])).
% 0.52/0.61 tff(892,plain,
% 0.52/0.61 (((~![B: $i, D: $i, A: $i, C: $i] : ((~environment(A)) | outcompetes(C, B, D) | (~greater(zero, growth_rate(B, D))) | (~greater_or_equal(growth_rate(C, D), zero)) | (~subpopulations(B, C, A, D)))) | ((~environment(sk3)) | outcompetes(efficient_producers, first_movers, sk4(sk4(sk1(sk3)))) | (~greater(zero, growth_rate(first_movers, sk4(sk4(sk1(sk3)))))) | (~greater_or_equal(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), zero)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk4(sk1(sk3))))))) <=> ((~![B: $i, D: $i, A: $i, C: $i] : ((~environment(A)) | outcompetes(C, B, D) | (~greater(zero, growth_rate(B, D))) | (~greater_or_equal(growth_rate(C, D), zero)) | (~subpopulations(B, C, A, D)))) | (~environment(sk3)) | outcompetes(efficient_producers, first_movers, sk4(sk4(sk1(sk3)))) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | (~greater(zero, growth_rate(first_movers, sk4(sk4(sk1(sk3)))))) | (~greater_or_equal(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), zero)))),
% 0.52/0.61 inference(transitivity,[status(thm)],[891, 889])).
% 0.52/0.61 tff(893,plain,
% 0.52/0.61 ((~![B: $i, D: $i, A: $i, C: $i] : ((~environment(A)) | outcompetes(C, B, D) | (~greater(zero, growth_rate(B, D))) | (~greater_or_equal(growth_rate(C, D), zero)) | (~subpopulations(B, C, A, D)))) | ((~environment(sk3)) | outcompetes(efficient_producers, first_movers, sk4(sk4(sk1(sk3)))) | (~greater(zero, growth_rate(first_movers, sk4(sk4(sk1(sk3)))))) | (~greater_or_equal(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), zero)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk4(sk1(sk3))))))),
% 0.52/0.61 inference(quant_inst,[status(thm)],[])).
% 0.52/0.61 tff(894,plain,
% 0.52/0.61 ((~![B: $i, D: $i, A: $i, C: $i] : ((~environment(A)) | outcompetes(C, B, D) | (~greater(zero, growth_rate(B, D))) | (~greater_or_equal(growth_rate(C, D), zero)) | (~subpopulations(B, C, A, D)))) | (~environment(sk3)) | outcompetes(efficient_producers, first_movers, sk4(sk4(sk1(sk3)))) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | (~greater(zero, growth_rate(first_movers, sk4(sk4(sk1(sk3)))))) | (~greater_or_equal(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), zero))),
% 0.52/0.61 inference(modus_ponens,[status(thm)],[893, 892])).
% 0.52/0.61 tff(895,plain,
% 0.52/0.61 ((~greater(zero, growth_rate(first_movers, sk4(sk4(sk1(sk3)))))) | (~greater_or_equal(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), zero))),
% 0.52/0.61 inference(unit_resolution,[status(thm)],[894, 526, 32, 888, 659])).
% 0.52/0.61 tff(896,plain,
% 0.52/0.61 (~greater(zero, growth_rate(first_movers, sk4(sk4(sk1(sk3)))))),
% 0.52/0.61 inference(unit_resolution,[status(thm)],[895, 884])).
% 0.52/0.61 tff(897,plain,
% 0.52/0.61 (((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(zero, growth_rate(C, B)) | (~decreases(cardinality_at_time(C, B))))) | ((~environment(sk3)) | greater(zero, growth_rate(first_movers, sk4(sk4(sk1(sk3))))) | (~greater(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), zero)) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | (~subpopulation(first_movers, sk3, sk4(sk4(sk1(sk3))))) | (~decreases(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))))))) <=> ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(zero, growth_rate(C, B)) | (~decreases(cardinality_at_time(C, B))))) | (~environment(sk3)) | greater(zero, growth_rate(first_movers, sk4(sk4(sk1(sk3))))) | (~greater(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), zero)) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | (~subpopulation(first_movers, sk3, sk4(sk4(sk1(sk3))))) | (~decreases(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))))))),
% 0.52/0.61 inference(rewrite,[status(thm)],[])).
% 0.52/0.61 tff(898,plain,
% 0.52/0.61 (((~environment(sk3)) | (~greater(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), zero)) | (~subpopulation(first_movers, sk3, sk4(sk4(sk1(sk3))))) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | greater(zero, growth_rate(first_movers, sk4(sk4(sk1(sk3))))) | (~decreases(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3))))))) <=> ((~environment(sk3)) | greater(zero, growth_rate(first_movers, sk4(sk4(sk1(sk3))))) | (~greater(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), zero)) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | (~subpopulation(first_movers, sk3, sk4(sk4(sk1(sk3))))) | (~decreases(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))))))),
% 0.52/0.61 inference(rewrite,[status(thm)],[])).
% 0.52/0.61 tff(899,plain,
% 0.52/0.61 (((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(zero, growth_rate(C, B)) | (~decreases(cardinality_at_time(C, B))))) | ((~environment(sk3)) | (~greater(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), zero)) | (~subpopulation(first_movers, sk3, sk4(sk4(sk1(sk3))))) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | greater(zero, growth_rate(first_movers, sk4(sk4(sk1(sk3))))) | (~decreases(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))))))) <=> ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(zero, growth_rate(C, B)) | (~decreases(cardinality_at_time(C, B))))) | ((~environment(sk3)) | greater(zero, growth_rate(first_movers, sk4(sk4(sk1(sk3))))) | (~greater(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), zero)) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | (~subpopulation(first_movers, sk3, sk4(sk4(sk1(sk3))))) | (~decreases(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3))))))))),
% 0.52/0.61 inference(monotonicity,[status(thm)],[898])).
% 0.52/0.61 tff(900,plain,
% 0.52/0.61 (((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(zero, growth_rate(C, B)) | (~decreases(cardinality_at_time(C, B))))) | ((~environment(sk3)) | (~greater(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), zero)) | (~subpopulation(first_movers, sk3, sk4(sk4(sk1(sk3))))) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | greater(zero, growth_rate(first_movers, sk4(sk4(sk1(sk3))))) | (~decreases(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))))))) <=> ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(zero, growth_rate(C, B)) | (~decreases(cardinality_at_time(C, B))))) | (~environment(sk3)) | greater(zero, growth_rate(first_movers, sk4(sk4(sk1(sk3))))) | (~greater(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), zero)) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | (~subpopulation(first_movers, sk3, sk4(sk4(sk1(sk3))))) | (~decreases(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))))))),
% 0.52/0.61 inference(transitivity,[status(thm)],[899, 897])).
% 0.52/0.61 tff(901,plain,
% 0.52/0.61 ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(zero, growth_rate(C, B)) | (~decreases(cardinality_at_time(C, B))))) | ((~environment(sk3)) | (~greater(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), zero)) | (~subpopulation(first_movers, sk3, sk4(sk4(sk1(sk3))))) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | greater(zero, growth_rate(first_movers, sk4(sk4(sk1(sk3))))) | (~decreases(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))))))),
% 0.52/0.61 inference(quant_inst,[status(thm)],[])).
% 0.52/0.61 tff(902,plain,
% 0.52/0.61 ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(zero, growth_rate(C, B)) | (~decreases(cardinality_at_time(C, B))))) | (~environment(sk3)) | greater(zero, growth_rate(first_movers, sk4(sk4(sk1(sk3))))) | (~greater(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), zero)) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | (~subpopulation(first_movers, sk3, sk4(sk4(sk1(sk3))))) | (~decreases(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3))))))),
% 0.52/0.61 inference(modus_ponens,[status(thm)],[901, 900])).
% 0.52/0.61 tff(903,plain,
% 0.52/0.61 (greater(zero, growth_rate(first_movers, sk4(sk4(sk1(sk3))))) | (~decreases(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3))))))),
% 0.52/0.61 inference(unit_resolution,[status(thm)],[902, 468, 32, 774, 666, 767])).
% 0.52/0.61 tff(904,plain,
% 0.52/0.61 (~decreases(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))))),
% 0.52/0.61 inference(unit_resolution,[status(thm)],[903, 896])).
% 0.52/0.61 tff(905,plain,
% 0.52/0.61 (((~![B: $i, A: $i] : ((~greater(A, B)) | (~greater(B, A)))) | ((~greater(zero, growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))))) | (~greater(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), zero)))) <=> ((~![B: $i, A: $i] : ((~greater(A, B)) | (~greater(B, A)))) | (~greater(zero, growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))))) | (~greater(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), zero)))),
% 0.52/0.61 inference(rewrite,[status(thm)],[])).
% 0.52/0.61 tff(906,plain,
% 0.52/0.61 ((~![B: $i, A: $i] : ((~greater(A, B)) | (~greater(B, A)))) | ((~greater(zero, growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))))) | (~greater(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), zero)))),
% 0.52/0.61 inference(quant_inst,[status(thm)],[])).
% 0.52/0.61 tff(907,plain,
% 0.52/0.61 ((~![B: $i, A: $i] : ((~greater(A, B)) | (~greater(B, A)))) | (~greater(zero, growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))))) | (~greater(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), zero))),
% 0.52/0.61 inference(modus_ponens,[status(thm)],[906, 905])).
% 0.52/0.61 tff(908,plain,
% 0.52/0.61 (~greater(zero, growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))))),
% 0.52/0.61 inference(unit_resolution,[status(thm)],[907, 483, 880])).
% 0.52/0.61 tff(909,plain,
% 0.52/0.61 (~decreases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))))),
% 0.52/0.61 inference(unit_resolution,[status(thm)],[830, 908])).
% 0.52/0.61 tff(910,plain,
% 0.52/0.61 (((~![B: $i, A: $i] : ((~(A = B)) | (~greater(A, B)))) | ((~(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))) = zero)) | (~greater(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), zero)))) <=> ((~![B: $i, A: $i] : ((~(A = B)) | (~greater(A, B)))) | (~(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))) = zero)) | (~greater(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), zero)))),
% 0.52/0.61 inference(rewrite,[status(thm)],[])).
% 0.52/0.61 tff(911,plain,
% 0.52/0.61 ((~![B: $i, A: $i] : ((~(A = B)) | (~greater(A, B)))) | ((~(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))) = zero)) | (~greater(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), zero)))),
% 0.52/0.61 inference(quant_inst,[status(thm)],[])).
% 0.52/0.61 tff(912,plain,
% 0.52/0.61 ((~![B: $i, A: $i] : ((~(A = B)) | (~greater(A, B)))) | (~(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))) = zero)) | (~greater(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), zero))),
% 0.52/0.61 inference(modus_ponens,[status(thm)],[911, 910])).
% 0.52/0.61 tff(913,plain,
% 0.52/0.61 (~(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))) = zero)),
% 0.52/0.61 inference(unit_resolution,[status(thm)],[912, 401, 880])).
% 0.52/0.61 tff(914,plain,
% 0.52/0.61 (~constant(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))))),
% 0.52/0.61 inference(unit_resolution,[status(thm)],[817, 913])).
% 0.52/0.61 tff(915,plain,
% 0.52/0.61 (^[B: $i, A: $i, C: $i] : refl((decreases(B) | (~constant(A)) | (~(A = sum(B, C))) | decreases(C) | constant(C)) <=> (decreases(B) | (~constant(A)) | (~(A = sum(B, C))) | decreases(C) | constant(C)))),
% 0.52/0.61 inference(bind,[status(th)],[])).
% 0.52/0.61 tff(916,plain,
% 0.52/0.61 (![B: $i, A: $i, C: $i] : (decreases(B) | (~constant(A)) | (~(A = sum(B, C))) | decreases(C) | constant(C)) <=> ![B: $i, A: $i, C: $i] : (decreases(B) | (~constant(A)) | (~(A = sum(B, C))) | decreases(C) | constant(C))),
% 0.52/0.61 inference(quant_intro,[status(thm)],[915])).
% 0.52/0.61 tff(917,plain,
% 0.52/0.61 (![B: $i, A: $i, C: $i] : (decreases(B) | (~constant(A)) | (~(A = sum(B, C))) | decreases(C) | constant(C)) <=> ![B: $i, A: $i, C: $i] : (decreases(B) | (~constant(A)) | (~(A = sum(B, C))) | decreases(C) | constant(C))),
% 0.52/0.61 inference(rewrite,[status(thm)],[])).
% 0.52/0.61 tff(918,plain,
% 0.52/0.61 (^[B: $i, A: $i, C: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~(A = sum(B, C))) | (~constant(A))) <=> ((~constant(A)) | (~(A = sum(B, C))))), ((((~(A = sum(B, C))) | (~constant(A))) | constant(C)) <=> (((~constant(A)) | (~(A = sum(B, C)))) | constant(C)))), rewrite((((~constant(A)) | (~(A = sum(B, C)))) | constant(C)) <=> ((~constant(A)) | (~(A = sum(B, C))) | constant(C))), ((((~(A = sum(B, C))) | (~constant(A))) | constant(C)) <=> ((~constant(A)) | (~(A = sum(B, C))) | constant(C)))), (((((~(A = sum(B, C))) | (~constant(A))) | constant(C)) | decreases(C)) <=> (((~constant(A)) | (~(A = sum(B, C))) | constant(C)) | decreases(C)))), rewrite((((~constant(A)) | (~(A = sum(B, C))) | constant(C)) | decreases(C)) <=> ((~constant(A)) | (~(A = sum(B, C))) | decreases(C) | constant(C))), (((((~(A = sum(B, C))) | (~constant(A))) | constant(C)) | decreases(C)) <=> ((~constant(A)) | (~(A = sum(B, C))) | decreases(C) | constant(C)))), ((((((~(A = sum(B, C))) | (~constant(A))) | constant(C)) | decreases(C)) | decreases(B)) <=> (((~constant(A)) | (~(A = sum(B, C))) | decreases(C) | constant(C)) | decreases(B)))), rewrite((((~constant(A)) | (~(A = sum(B, C))) | decreases(C) | constant(C)) | decreases(B)) <=> (decreases(B) | (~constant(A)) | (~(A = sum(B, C))) | decreases(C) | constant(C))), ((((((~(A = sum(B, C))) | (~constant(A))) | constant(C)) | decreases(C)) | decreases(B)) <=> (decreases(B) | (~constant(A)) | (~(A = sum(B, C))) | decreases(C) | constant(C))))),
% 0.52/0.61 inference(bind,[status(th)],[])).
% 0.52/0.61 tff(919,plain,
% 0.52/0.61 (![B: $i, A: $i, C: $i] : (((((~(A = sum(B, C))) | (~constant(A))) | constant(C)) | decreases(C)) | decreases(B)) <=> ![B: $i, A: $i, C: $i] : (decreases(B) | (~constant(A)) | (~(A = sum(B, C))) | decreases(C) | constant(C))),
% 0.52/0.61 inference(quant_intro,[status(thm)],[918])).
% 0.52/0.61 tff(920,axiom,(![B: $i, A: $i, C: $i] : (((((~(A = sum(B, C))) | (~constant(A))) | constant(C)) | decreases(C)) | decreases(B))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','mp_abc_sum_increase_49')).
% 0.52/0.61 tff(921,plain,
% 0.52/0.61 (![B: $i, A: $i, C: $i] : (decreases(B) | (~constant(A)) | (~(A = sum(B, C))) | decreases(C) | constant(C))),
% 0.52/0.61 inference(modus_ponens,[status(thm)],[920, 919])).
% 0.52/0.61 tff(922,plain,
% 0.52/0.61 (![B: $i, A: $i, C: $i] : (decreases(B) | (~constant(A)) | (~(A = sum(B, C))) | decreases(C) | constant(C))),
% 0.52/0.61 inference(modus_ponens,[status(thm)],[921, 917])).
% 0.52/0.61 tff(923,plain,(
% 0.52/0.61 ![B: $i, A: $i, C: $i] : (decreases(B) | (~constant(A)) | (~(A = sum(B, C))) | decreases(C) | constant(C))),
% 0.52/0.61 inference(skolemize,[status(sab)],[922])).
% 0.52/0.61 tff(924,plain,
% 0.52/0.61 (![B: $i, A: $i, C: $i] : (decreases(B) | (~constant(A)) | (~(A = sum(B, C))) | decreases(C) | constant(C))),
% 0.52/0.61 inference(modus_ponens,[status(thm)],[923, 916])).
% 0.52/0.61 tff(925,plain,
% 0.52/0.61 (((~![B: $i, A: $i, C: $i] : (decreases(B) | (~constant(A)) | (~(A = sum(B, C))) | decreases(C) | constant(C))) | (decreases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) | constant(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) | decreases(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3))))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))))))) <=> ((~![B: $i, A: $i, C: $i] : (decreases(B) | (~constant(A)) | (~(A = sum(B, C))) | decreases(C) | constant(C))) | decreases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) | constant(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) | decreases(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3))))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))))))),
% 0.52/0.61 inference(rewrite,[status(thm)],[])).
% 0.52/0.61 tff(926,plain,
% 0.52/0.61 ((decreases(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3))))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))))) | $false | decreases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) | constant(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))))) <=> (decreases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) | constant(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) | decreases(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3))))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))))))),
% 0.52/0.61 inference(rewrite,[status(thm)],[])).
% 0.52/0.61 tff(927,plain,
% 0.52/0.61 ((decreases(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3))))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))))) | (~(sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) = sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))))) | decreases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) | constant(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))))) <=> (decreases(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3))))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))))) | $false | decreases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) | constant(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))))),
% 0.52/0.61 inference(monotonicity,[status(thm)],[755])).
% 0.52/0.61 tff(928,plain,
% 0.52/0.61 ((decreases(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3))))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))))) | (~(sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) = sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))))) | decreases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) | constant(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))))) <=> (decreases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) | constant(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) | decreases(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3))))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))))))),
% 0.52/0.61 inference(transitivity,[status(thm)],[927, 926])).
% 0.52/0.61 tff(929,plain,
% 0.52/0.61 (((~![B: $i, A: $i, C: $i] : (decreases(B) | (~constant(A)) | (~(A = sum(B, C))) | decreases(C) | constant(C))) | (decreases(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3))))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))))) | (~(sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) = sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))))) | decreases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) | constant(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))))) <=> ((~![B: $i, A: $i, C: $i] : (decreases(B) | (~constant(A)) | (~(A = sum(B, C))) | decreases(C) | constant(C))) | (decreases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) | constant(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) | decreases(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3))))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))))))))),
% 0.52/0.61 inference(monotonicity,[status(thm)],[928])).
% 0.52/0.61 tff(930,plain,
% 0.52/0.61 (((~![B: $i, A: $i, C: $i] : (decreases(B) | (~constant(A)) | (~(A = sum(B, C))) | decreases(C) | constant(C))) | (decreases(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3))))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))))) | (~(sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) = sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))))) | decreases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) | constant(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))))) <=> ((~![B: $i, A: $i, C: $i] : (decreases(B) | (~constant(A)) | (~(A = sum(B, C))) | decreases(C) | constant(C))) | decreases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) | constant(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) | decreases(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3))))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))))))),
% 0.52/0.61 inference(transitivity,[status(thm)],[929, 925])).
% 0.52/0.61 tff(931,plain,
% 0.52/0.61 ((~![B: $i, A: $i, C: $i] : (decreases(B) | (~constant(A)) | (~(A = sum(B, C))) | decreases(C) | constant(C))) | (decreases(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3))))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))))) | (~(sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) = sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))))) | decreases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) | constant(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))))),
% 0.52/0.62 inference(quant_inst,[status(thm)],[])).
% 0.52/0.62 tff(932,plain,
% 0.52/0.62 ((~![B: $i, A: $i, C: $i] : (decreases(B) | (~constant(A)) | (~(A = sum(B, C))) | decreases(C) | constant(C))) | decreases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) | constant(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) | decreases(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3))))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))))))),
% 0.52/0.62 inference(modus_ponens,[status(thm)],[931, 930])).
% 0.52/0.62 tff(933,plain,
% 0.52/0.62 (decreases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) | constant(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) | decreases(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))))),
% 0.52/0.62 inference(unit_resolution,[status(thm)],[932, 924, 730])).
% 0.52/0.62 tff(934,plain,
% 0.52/0.62 ($false),
% 0.52/0.62 inference(unit_resolution,[status(thm)],[933, 914, 909, 904])).
% 0.52/0.62 % SZS output end Proof
%------------------------------------------------------------------------------