%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : MGT035-2 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:02:08 PM UTC 2026
% Result : Unsatisfiable 7.73s 2.06s
% Output : Refutation 9.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 74
% Syntax : Number of formulae : 433 ( 29 unt; 41 def)
% Number of atoms : 1353 ( 67 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 1722 ( 802 ~; 879 |; 0 &)
% ( 41 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 54 ( 52 usr; 42 prp; 0-4 aty)
% Number of functors : 13 ( 13 usr; 4 con; 0-2 aty)
% Number of variables : 200 ( 0 sgn 200 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0)
| in_environment(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_time_point_in_environment_36) ).
fof(f2,axiom,
! [X0,X1] :
( ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0)
| greater(number_of_organizations(X0,X1),zero) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_environment_not_empty_37) ).
fof(f6,axiom,
! [X2,X0,X1] :
( ~ environment(X0)
| ~ subpopulation(X1,X0,X2)
| X1 != first_movers
| number_of_organizations(X0,X2) = sum(cardinality_at_time(first_movers,X2),cardinality_at_time(efficient_producers,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_only_members_40) ).
fof(f7,plain,
! [X2,X0,X1] :
( ~ environment(X0)
| ~ subpopulation(X1,X0,X2)
| first_movers != X1
| number_of_organizations(X0,X2) = sum(cardinality_at_time(first_movers,X2),cardinality_at_time(efficient_producers,X2)) ),
inference(reorient_equations,[],[f6]) ).
fof(f8,axiom,
! [X0,X1] :
( subpopulation(first_movers,X0,X1)
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_FM_and_EP_organisational_41) ).
fof(f9,axiom,
! [X0,X1] :
( subpopulation(efficient_producers,X0,X1)
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_FM_and_EP_organisational_42) ).
fof(f12,axiom,
! [X2,X0,X1] :
( X0 != sum(X1,X2)
| ~ constant(X0)
| constant(X1)
| increases(X1)
| increases(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_abc_sum_increase_44) ).
fof(f13,plain,
! [X2,X0,X1] :
( sum(X1,X2) != X0
| ~ constant(X0)
| constant(X1)
| increases(X1)
| increases(X2) ),
inference(reorient_equations,[],[f12]) ).
fof(f14,axiom,
! [X2,X0,X1] :
( X0 != sum(X1,X2)
| ~ constant(X0)
| constant(X1)
| decreases(X2)
| decreases(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_abc_sum_increase_45) ).
fof(f15,plain,
! [X2,X0,X1] :
( sum(X1,X2) != X0
| ~ constant(X0)
| constant(X1)
| decreases(X2)
| decreases(X1) ),
inference(reorient_equations,[],[f14]) ).
fof(f16,axiom,
! [X2,X0,X1] :
( X0 != sum(X1,X2)
| ~ constant(X0)
| constant(X1)
| decreases(X2)
| increases(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_abc_sum_increase_46) ).
fof(f17,plain,
! [X2,X0,X1] :
( sum(X1,X2) != X0
| ~ constant(X0)
| constant(X1)
| decreases(X2)
| increases(X2) ),
inference(reorient_equations,[],[f16]) ).
fof(f22,axiom,
! [X2,X0,X1] :
( X0 != sum(X1,X2)
| ~ constant(X0)
| constant(X2)
| decreases(X2)
| decreases(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_abc_sum_increase_49) ).
fof(f23,plain,
! [X2,X0,X1] :
( sum(X1,X2) != X0
| ~ constant(X0)
| constant(X2)
| decreases(X2)
| decreases(X1) ),
inference(reorient_equations,[],[f22]) ).
fof(f24,axiom,
! [X2,X0,X1] :
( X0 != sum(X1,X2)
| ~ constant(X0)
| constant(X2)
| decreases(X2)
| increases(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_abc_sum_increase_50) ).
fof(f25,plain,
! [X2,X0,X1] :
( sum(X1,X2) != X0
| ~ constant(X0)
| constant(X2)
| decreases(X2)
| increases(X2) ),
inference(reorient_equations,[],[f24]) ).
fof(f26,axiom,
! [X2,X0,X1] :
( ~ environment(X0)
| ~ in_environment(X0,X1)
| ~ subpopulation(X2,X0,X1)
| ~ greater(cardinality_at_time(X2,X1),zero)
| ~ constant(cardinality_at_time(X2,X1))
| growth_rate(X2,X1) = zero ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_growth_rate_51) ).
fof(f27,plain,
! [X2,X0,X1] :
( ~ greater(cardinality_at_time(X2,X1),zero)
| ~ in_environment(X0,X1)
| ~ subpopulation(X2,X0,X1)
| ~ environment(X0)
| ~ constant(cardinality_at_time(X2,X1))
| zero = growth_rate(X2,X1) ),
inference(reorient_equations,[],[f26]) ).
fof(f28,axiom,
! [X2,X0,X1] :
( ~ greater(cardinality_at_time(X2,X1),zero)
| ~ in_environment(X0,X1)
| ~ subpopulation(X2,X0,X1)
| ~ environment(X0)
| ~ increases(cardinality_at_time(X2,X1))
| greater(growth_rate(X2,X1),zero) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_growth_rate_52) ).
fof(f29,axiom,
! [X2,X0,X1] :
( ~ greater(cardinality_at_time(X2,X1),zero)
| ~ in_environment(X0,X1)
| ~ subpopulation(X2,X0,X1)
| ~ environment(X0)
| ~ decreases(cardinality_at_time(X2,X1))
| greater(zero,growth_rate(X2,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_growth_rate_53) ).
fof(f30,axiom,
! [X0,X1] :
( ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0)
| greater(cardinality_at_time(first_movers,X1),zero) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_positive_number_of_organizations_54) ).
fof(f31,axiom,
! [X0,X1] :
( ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0)
| greater(cardinality_at_time(efficient_producers,X1),zero) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_positive_number_of_organizations_55) ).
fof(f32,axiom,
! [X0,X1] :
( ~ greater(X0,X1)
| X0 != X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp6_1_56) ).
fof(f33,axiom,
! [X0,X1] :
( ~ greater(X1,X0)
| ~ greater(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp6_2_57) ).
fof(f34,axiom,
! [X2,X0,X1] :
( ~ greater(X1,X2)
| ~ greater(X0,X1)
| greater(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_greater_transitivity_58) ).
fof(f37,axiom,
! [X0,X1] :
( ~ greater_or_equal(X0,X1)
| greater(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_greater_or_equal_60) ).
fof(f38,axiom,
! [X0,X1] :
( ~ greater(X0,X1)
| greater_or_equal(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_greater_or_equal_61) ).
fof(f40,axiom,
! [X0,X1] :
( ~ greater_or_equal(X1,equilibrium(X0))
| ~ environment(X0)
| ~ greater(equilibrium(X0),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_equilibrium_63) ).
fof(f41,axiom,
! [X2,X3,X0,X1] :
( ~ greater_or_equal(growth_rate(X2,X3),zero)
| ~ subpopulations(X1,X2,X0,X3)
| ~ environment(X0)
| ~ greater(zero,growth_rate(X1,X3))
| outcompetes(X2,X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_64) ).
fof(f45,axiom,
! [X0,X1] :
( ~ greater(number_of_organizations(X0,X1),zero)
| ~ in_environment(X0,X1)
| ~ environment(X0)
| greater(equilibrium(X0),X1)
| constant(resources(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a4_68) ).
fof(f46,axiom,
! [X0] :
( in_environment(X0,sk1(X0))
| ~ stable(X0)
| ~ environment(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a5_69) ).
fof(f47,axiom,
! [X0] :
( greater_or_equal(sk1(X0),equilibrium(X0))
| ~ stable(X0)
| ~ environment(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a5_70) ).
fof(f49,axiom,
! [X0,X1] :
( ~ constant(resources(X0,X1))
| ~ in_environment(X0,X1)
| ~ environment(X0)
| constant(number_of_organizations(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a7_72) ).
fof(f52,axiom,
! [X0] :
( in_environment(X0,sk2(X0))
| ~ stable(X0)
| ~ environment(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l1_74) ).
fof(f53,axiom,
! [X0,X1] :
( ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ stable(X0)
| ~ environment(X0)
| ~ greater_or_equal(X1,sk2(X0))
| greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l1_75) ).
fof(f54,negated_conjecture,
environment(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t4_76) ).
fof(f55,negated_conjecture,
stable(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t4_77) ).
fof(f56,negated_conjecture,
! [X0] :
( subpopulations(first_movers,efficient_producers,sk3,sk4(X0))
| ~ in_environment(sk3,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t4_78) ).
fof(f57,negated_conjecture,
! [X0] :
( greater_or_equal(sk4(X0),X0)
| ~ in_environment(sk3,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t4_79) ).
fof(f58,negated_conjecture,
! [X0] :
( ~ outcompetes(efficient_producers,first_movers,sk4(X0))
| ~ in_environment(sk3,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t4_80) ).
fof(f60,plain,
! [X2,X0] :
( ~ subpopulation(first_movers,X0,X2)
| ~ environment(X0)
| number_of_organizations(X0,X2) = sum(cardinality_at_time(first_movers,X2),cardinality_at_time(efficient_producers,X2)) ),
inference(equality_resolution,[],[f7]) ).
fof(f62,plain,
! [X2,X1] :
( ~ constant(sum(X1,X2))
| constant(X1)
| increases(X1)
| increases(X2) ),
inference(equality_resolution,[],[f13]) ).
fof(f63,plain,
! [X2,X1] :
( ~ constant(sum(X1,X2))
| constant(X1)
| decreases(X2)
| decreases(X1) ),
inference(equality_resolution,[],[f15]) ).
fof(f64,plain,
! [X2,X1] :
( ~ constant(sum(X1,X2))
| constant(X1)
| decreases(X2)
| increases(X2) ),
inference(equality_resolution,[],[f17]) ).
fof(f67,plain,
! [X2,X1] :
( ~ constant(sum(X1,X2))
| constant(X2)
| decreases(X2)
| decreases(X1) ),
inference(equality_resolution,[],[f23]) ).
fof(f68,plain,
! [X2,X1] :
( ~ constant(sum(X1,X2))
| constant(X2)
| decreases(X2)
| increases(X2) ),
inference(equality_resolution,[],[f25]) ).
fof(f69,plain,
! [X1] : ~ greater(X1,X1),
inference(equality_resolution,[],[f32]) ).
fof(f71,plain,
! [X0] :
( ~ in_environment(sk3,X0)
| ~ environment(sk3)
| greater(number_of_organizations(sk3,sk4(X0)),zero) ),
inference(resolution,[],[f56,f2]) ).
fof(f72,plain,
! [X0] :
( ~ in_environment(sk3,X0)
| ~ stable(sk3)
| ~ environment(sk3)
| ~ greater_or_equal(sk4(X0),sk2(sk3))
| greater(growth_rate(efficient_producers,sk4(X0)),growth_rate(first_movers,sk4(X0))) ),
inference(resolution,[],[f56,f53]) ).
fof(f73,plain,
! [X0] :
( ~ in_environment(sk3,X0)
| ~ environment(sk3)
| ~ greater_or_equal(sk4(X0),sk2(sk3))
| greater(growth_rate(efficient_producers,sk4(X0)),growth_rate(first_movers,sk4(X0))) ),
inference(forward_subsumption_resolution,[],[f72,f55]) ).
fof(f74,plain,
! [X0] :
( greater(number_of_organizations(sk3,sk4(X0)),zero)
| ~ in_environment(sk3,X0) ),
inference(forward_subsumption_resolution,[],[f71,f54]) ).
fof(f75,plain,
! [X0] :
( greater(growth_rate(efficient_producers,sk4(X0)),growth_rate(first_movers,sk4(X0)))
| ~ greater_or_equal(sk4(X0),sk2(sk3))
| ~ in_environment(sk3,X0) ),
inference(forward_subsumption_resolution,[],[f73,f54]) ).
fof(f76,plain,
! [X0] :
( ~ environment(sk3)
| in_environment(sk3,sk4(X0))
| ~ in_environment(sk3,X0) ),
inference(resolution,[],[f1,f56]) ).
fof(f77,plain,
! [X0] :
( in_environment(sk3,sk4(X0))
| ~ in_environment(sk3,X0) ),
inference(forward_subsumption_resolution,[],[f76,f54]) ).
fof(f79,plain,
! [X0] :
( ~ environment(X0)
| ~ greater(equilibrium(X0),sk1(X0))
| ~ stable(X0)
| ~ environment(X0) ),
inference(resolution,[],[f40,f47]) ).
fof(f80,plain,
! [X0] :
( ~ greater(equilibrium(X0),sk1(X0))
| ~ environment(X0)
| ~ stable(X0) ),
inference(duplicate_literal_removal,[],[f79]) ).
fof(f81,plain,
! [X0] :
( greater(sk4(X0),X0)
| sk4(X0) = X0
| ~ in_environment(sk3,X0) ),
inference(resolution,[],[f37,f57]) ).
fof(f82,plain,
! [X0] :
( greater(sk1(X0),equilibrium(X0))
| equilibrium(X0) = sk1(X0)
| ~ stable(X0)
| ~ environment(X0) ),
inference(resolution,[],[f37,f47]) ).
fof(f83,plain,
! [X0] :
( ~ environment(sk3)
| greater(cardinality_at_time(first_movers,sk4(X0)),zero)
| ~ in_environment(sk3,X0) ),
inference(resolution,[],[f30,f56]) ).
fof(f84,plain,
! [X0] :
( greater(cardinality_at_time(first_movers,sk4(X0)),zero)
| ~ in_environment(sk3,X0) ),
inference(forward_subsumption_resolution,[],[f83,f54]) ).
fof(f85,plain,
! [X0] :
( ~ environment(sk3)
| greater(cardinality_at_time(efficient_producers,sk4(X0)),zero)
| ~ in_environment(sk3,X0) ),
inference(resolution,[],[f31,f56]) ).
fof(f86,plain,
! [X0] :
( greater(cardinality_at_time(efficient_producers,sk4(X0)),zero)
| ~ in_environment(sk3,X0) ),
inference(forward_subsumption_resolution,[],[f85,f54]) ).
fof(f93,plain,
! [X0,X1] :
( ~ greater(X0,growth_rate(efficient_producers,sk4(X1)))
| greater(X0,growth_rate(first_movers,sk4(X1)))
| ~ greater_or_equal(sk4(X1),sk2(sk3))
| ~ in_environment(sk3,X1) ),
inference(resolution,[],[f34,f75]) ).
fof(f95,plain,
! [X0,X1] :
( ~ greater(X1,sk4(X0))
| ~ in_environment(sk3,X0)
| sk4(X0) = X0
| greater(X1,X0) ),
inference(resolution,[],[f81,f34]) ).
fof(f96,plain,
! [X0,X1] :
( ~ in_environment(sk3,X0)
| ~ in_environment(X1,sk4(X0))
| ~ subpopulation(first_movers,X1,sk4(X0))
| ~ environment(X1)
| ~ decreases(cardinality_at_time(first_movers,sk4(X0)))
| greater(zero,growth_rate(first_movers,sk4(X0))) ),
inference(resolution,[],[f84,f29]) ).
fof(f98,plain,
! [X0,X1] :
( ~ in_environment(sk3,X0)
| ~ in_environment(X1,sk4(X0))
| ~ subpopulation(first_movers,X1,sk4(X0))
| ~ environment(X1)
| ~ increases(cardinality_at_time(first_movers,sk4(X0)))
| greater(growth_rate(first_movers,sk4(X0)),zero) ),
inference(resolution,[],[f84,f28]) ).
fof(f99,plain,
! [X0,X1] :
( ~ in_environment(sk3,X0)
| ~ in_environment(X1,sk4(X0))
| ~ subpopulation(first_movers,X1,sk4(X0))
| ~ environment(X1)
| ~ constant(cardinality_at_time(first_movers,sk4(X0)))
| zero = growth_rate(first_movers,sk4(X0)) ),
inference(resolution,[],[f84,f27]) ).
fof(f101,plain,
! [X0,X1] :
( ~ constant(cardinality_at_time(first_movers,sk4(X0)))
| ~ in_environment(X1,sk4(X0))
| ~ environment(X1)
| ~ in_environment(sk3,X0)
| zero = growth_rate(first_movers,sk4(X0)) ),
inference(forward_subsumption_resolution,[],[f99,f8]) ).
fof(f102,plain,
! [X0,X1] :
( ~ increases(cardinality_at_time(first_movers,sk4(X0)))
| ~ in_environment(X1,sk4(X0))
| ~ environment(X1)
| ~ in_environment(sk3,X0)
| greater(growth_rate(first_movers,sk4(X0)),zero) ),
inference(forward_subsumption_resolution,[],[f98,f8]) ).
fof(f103,plain,
! [X0,X1] :
( ~ decreases(cardinality_at_time(first_movers,sk4(X0)))
| ~ in_environment(X1,sk4(X0))
| ~ environment(X1)
| ~ in_environment(sk3,X0)
| greater(zero,growth_rate(first_movers,sk4(X0))) ),
inference(forward_subsumption_resolution,[],[f96,f8]) ).
fof(f104,plain,
! [X0,X1] :
( ~ in_environment(sk3,X0)
| ~ in_environment(X1,sk4(X0))
| ~ subpopulation(efficient_producers,X1,sk4(X0))
| ~ environment(X1)
| ~ decreases(cardinality_at_time(efficient_producers,sk4(X0)))
| greater(zero,growth_rate(efficient_producers,sk4(X0))) ),
inference(resolution,[],[f86,f29]) ).
fof(f106,plain,
! [X0,X1] :
( ~ in_environment(sk3,X0)
| ~ in_environment(X1,sk4(X0))
| ~ subpopulation(efficient_producers,X1,sk4(X0))
| ~ environment(X1)
| ~ increases(cardinality_at_time(efficient_producers,sk4(X0)))
| greater(growth_rate(efficient_producers,sk4(X0)),zero) ),
inference(resolution,[],[f86,f28]) ).
fof(f107,plain,
! [X0,X1] :
( ~ in_environment(sk3,X0)
| ~ in_environment(X1,sk4(X0))
| ~ subpopulation(efficient_producers,X1,sk4(X0))
| ~ environment(X1)
| ~ constant(cardinality_at_time(efficient_producers,sk4(X0)))
| zero = growth_rate(efficient_producers,sk4(X0)) ),
inference(resolution,[],[f86,f27]) ).
fof(f109,plain,
! [X0,X1] :
( ~ constant(cardinality_at_time(efficient_producers,sk4(X0)))
| ~ in_environment(X1,sk4(X0))
| ~ environment(X1)
| ~ in_environment(sk3,X0)
| zero = growth_rate(efficient_producers,sk4(X0)) ),
inference(forward_subsumption_resolution,[],[f107,f9]) ).
fof(f110,plain,
! [X0,X1] :
( ~ increases(cardinality_at_time(efficient_producers,sk4(X0)))
| ~ in_environment(X1,sk4(X0))
| ~ environment(X1)
| ~ in_environment(sk3,X0)
| greater(growth_rate(efficient_producers,sk4(X0)),zero) ),
inference(forward_subsumption_resolution,[],[f106,f9]) ).
fof(f111,plain,
! [X0,X1] :
( ~ decreases(cardinality_at_time(efficient_producers,sk4(X0)))
| ~ in_environment(X1,sk4(X0))
| ~ environment(X1)
| ~ in_environment(sk3,X0)
| greater(zero,growth_rate(efficient_producers,sk4(X0))) ),
inference(forward_subsumption_resolution,[],[f104,f9]) ).
fof(f116,plain,
! [X0] :
( ~ greater(growth_rate(first_movers,sk4(X0)),growth_rate(efficient_producers,sk4(X0)))
| ~ greater_or_equal(sk4(X0),sk2(sk3))
| ~ in_environment(sk3,X0) ),
inference(resolution,[],[f33,f75]) ).
fof(f118,plain,
! [X0] :
( ~ in_environment(sk3,sk4(X0))
| ~ environment(sk3)
| greater(equilibrium(sk3),sk4(X0))
| constant(resources(sk3,sk4(X0)))
| ~ in_environment(sk3,X0) ),
inference(resolution,[],[f45,f74]) ).
fof(f119,plain,
! [X0] :
( ~ environment(sk3)
| greater(equilibrium(sk3),sk4(X0))
| constant(resources(sk3,sk4(X0)))
| ~ in_environment(sk3,X0) ),
inference(forward_subsumption_resolution,[],[f118,f77]) ).
fof(f120,plain,
! [X0] :
( constant(resources(sk3,sk4(X0)))
| greater(equilibrium(sk3),sk4(X0))
| ~ in_environment(sk3,X0) ),
inference(forward_subsumption_resolution,[],[f119,f54]) ).
fof(f121,plain,
! [X0,X1] :
( ~ in_environment(X0,X1)
| ~ environment(X0)
| ~ environment(X0)
| number_of_organizations(X0,X1) = sum(cardinality_at_time(first_movers,X1),cardinality_at_time(efficient_producers,X1)) ),
inference(resolution,[],[f8,f60]) ).
fof(f122,plain,
! [X0,X1] :
( ~ in_environment(X0,X1)
| ~ environment(X0)
| number_of_organizations(X0,X1) = sum(cardinality_at_time(first_movers,X1),cardinality_at_time(efficient_producers,X1)) ),
inference(duplicate_literal_removal,[],[f121]) ).
fof(f136,plain,
! [X0] :
( ~ environment(sk3)
| number_of_organizations(sk3,sk4(X0)) = sum(cardinality_at_time(first_movers,sk4(X0)),cardinality_at_time(efficient_producers,sk4(X0)))
| ~ in_environment(sk3,X0) ),
inference(resolution,[],[f122,f77]) ).
fof(f139,plain,
! [X0] :
( ~ in_environment(sk3,X0)
| number_of_organizations(sk3,sk4(X0)) = sum(cardinality_at_time(first_movers,sk4(X0)),cardinality_at_time(efficient_producers,sk4(X0))) ),
inference(forward_subsumption_resolution,[],[f136,f54]) ).
fof(f275,plain,
! [X0] :
( greater(equilibrium(sk3),sk4(X0))
| ~ in_environment(sk3,X0)
| ~ in_environment(sk3,sk4(X0))
| ~ environment(sk3)
| constant(number_of_organizations(sk3,sk4(X0))) ),
inference(resolution,[],[f120,f49]) ).
fof(f276,plain,
! [X0] :
( greater(equilibrium(sk3),sk4(X0))
| ~ in_environment(sk3,X0)
| ~ environment(sk3)
| constant(number_of_organizations(sk3,sk4(X0))) ),
inference(forward_subsumption_resolution,[],[f275,f77]) ).
fof(f277,plain,
! [X0] :
( constant(number_of_organizations(sk3,sk4(X0)))
| ~ in_environment(sk3,X0)
| greater(equilibrium(sk3),sk4(X0)) ),
inference(forward_subsumption_resolution,[],[f276,f54]) ).
fof(f295,plain,
( number_of_organizations(sk3,sk4(sk2(sk3))) = sum(cardinality_at_time(first_movers,sk4(sk2(sk3))),cardinality_at_time(efficient_producers,sk4(sk2(sk3))))
| ~ stable(sk3)
| ~ environment(sk3) ),
inference(resolution,[],[f139,f52]) ).
fof(f296,plain,
( number_of_organizations(sk3,sk4(sk1(sk3))) = sum(cardinality_at_time(first_movers,sk4(sk1(sk3))),cardinality_at_time(efficient_producers,sk4(sk1(sk3))))
| ~ stable(sk3)
| ~ environment(sk3) ),
inference(resolution,[],[f139,f46]) ).
fof(f297,plain,
( number_of_organizations(sk3,sk4(sk1(sk3))) = sum(cardinality_at_time(first_movers,sk4(sk1(sk3))),cardinality_at_time(efficient_producers,sk4(sk1(sk3))))
| ~ environment(sk3) ),
inference(forward_subsumption_resolution,[],[f296,f55]) ).
fof(f298,plain,
( number_of_organizations(sk3,sk4(sk2(sk3))) = sum(cardinality_at_time(first_movers,sk4(sk2(sk3))),cardinality_at_time(efficient_producers,sk4(sk2(sk3))))
| ~ environment(sk3) ),
inference(forward_subsumption_resolution,[],[f295,f55]) ).
fof(f299,plain,
number_of_organizations(sk3,sk4(sk1(sk3))) = sum(cardinality_at_time(first_movers,sk4(sk1(sk3))),cardinality_at_time(efficient_producers,sk4(sk1(sk3)))),
inference(forward_subsumption_resolution,[],[f297,f54]) ).
fof(f300,plain,
number_of_organizations(sk3,sk4(sk2(sk3))) = sum(cardinality_at_time(first_movers,sk4(sk2(sk3))),cardinality_at_time(efficient_producers,sk4(sk2(sk3)))),
inference(forward_subsumption_resolution,[],[f298,f54]) ).
fof(f302,plain,
( ~ constant(number_of_organizations(sk3,sk4(sk2(sk3))))
| constant(cardinality_at_time(first_movers,sk4(sk2(sk3))))
| increases(cardinality_at_time(first_movers,sk4(sk2(sk3))))
| increases(cardinality_at_time(efficient_producers,sk4(sk2(sk3)))) ),
inference(superposition,[],[f62,f300]) ).
fof(f303,plain,
( ~ constant(number_of_organizations(sk3,sk4(sk2(sk3))))
| constant(cardinality_at_time(first_movers,sk4(sk2(sk3))))
| decreases(cardinality_at_time(efficient_producers,sk4(sk2(sk3))))
| decreases(cardinality_at_time(first_movers,sk4(sk2(sk3)))) ),
inference(superposition,[],[f63,f300]) ).
fof(f304,plain,
( ~ constant(number_of_organizations(sk3,sk4(sk2(sk3))))
| constant(cardinality_at_time(first_movers,sk4(sk2(sk3))))
| decreases(cardinality_at_time(efficient_producers,sk4(sk2(sk3))))
| increases(cardinality_at_time(efficient_producers,sk4(sk2(sk3)))) ),
inference(superposition,[],[f64,f300]) ).
fof(f307,plain,
( ~ constant(number_of_organizations(sk3,sk4(sk2(sk3))))
| constant(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)))) ),
inference(superposition,[],[f67,f300]) ).
fof(f308,plain,
( ~ constant(number_of_organizations(sk3,sk4(sk2(sk3))))
| constant(cardinality_at_time(efficient_producers,sk4(sk2(sk3))))
| decreases(cardinality_at_time(efficient_producers,sk4(sk2(sk3))))
| increases(cardinality_at_time(efficient_producers,sk4(sk2(sk3)))) ),
inference(superposition,[],[f68,f300]) ).
fof(f310,definition,
( spl0_15
<=> increases(cardinality_at_time(efficient_producers,sk4(sk2(sk3)))) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f312,plain,
( increases(cardinality_at_time(efficient_producers,sk4(sk2(sk3))))
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f310]) ).
fof(f314,definition,
( spl0_16
<=> decreases(cardinality_at_time(efficient_producers,sk4(sk2(sk3)))) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f316,plain,
( decreases(cardinality_at_time(efficient_producers,sk4(sk2(sk3))))
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f314]) ).
fof(f318,definition,
( spl0_17
<=> constant(cardinality_at_time(efficient_producers,sk4(sk2(sk3)))) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f320,plain,
( constant(cardinality_at_time(efficient_producers,sk4(sk2(sk3))))
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f318]) ).
fof(f322,definition,
( spl0_18
<=> constant(number_of_organizations(sk3,sk4(sk2(sk3)))) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f324,plain,
( ~ constant(number_of_organizations(sk3,sk4(sk2(sk3))))
| spl0_18 ),
inference(avatar_component_clause,[],[f322]) ).
fof(f325,plain,
( spl0_15
| spl0_16
| spl0_17
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f308,f322,f318,f314,f310]) ).
fof(f327,definition,
( spl0_19
<=> decreases(cardinality_at_time(first_movers,sk4(sk2(sk3)))) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f329,plain,
( decreases(cardinality_at_time(first_movers,sk4(sk2(sk3))))
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f327]) ).
fof(f330,plain,
( spl0_19
| spl0_16
| spl0_17
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f307,f322,f318,f314,f327]) ).
fof(f332,definition,
( spl0_20
<=> increases(cardinality_at_time(first_movers,sk4(sk2(sk3)))) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f334,plain,
( increases(cardinality_at_time(first_movers,sk4(sk2(sk3))))
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f332]) ).
fof(f338,definition,
( spl0_21
<=> constant(cardinality_at_time(first_movers,sk4(sk2(sk3)))) ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f340,plain,
( constant(cardinality_at_time(first_movers,sk4(sk2(sk3))))
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f338]) ).
fof(f341,plain,
( spl0_15
| spl0_16
| spl0_21
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f304,f322,f338,f314,f310]) ).
fof(f342,plain,
( spl0_19
| spl0_16
| spl0_21
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f303,f322,f338,f314,f327]) ).
fof(f343,plain,
( spl0_15
| spl0_20
| spl0_21
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f302,f322,f338,f332,f310]) ).
fof(f345,plain,
( ~ in_environment(sk3,sk2(sk3))
| greater(equilibrium(sk3),sk4(sk2(sk3)))
| spl0_18 ),
inference(resolution,[],[f324,f277]) ).
fof(f347,definition,
( spl0_22
<=> greater(equilibrium(sk3),sk4(sk2(sk3))) ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f349,plain,
( greater(equilibrium(sk3),sk4(sk2(sk3)))
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f347]) ).
fof(f351,definition,
( spl0_23
<=> in_environment(sk3,sk2(sk3)) ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
fof(f352,plain,
( in_environment(sk3,sk2(sk3))
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f351]) ).
fof(f353,plain,
( ~ in_environment(sk3,sk2(sk3))
| spl0_23 ),
inference(avatar_component_clause,[],[f351]) ).
fof(f354,plain,
( spl0_22
| ~ spl0_23
| spl0_18 ),
inference(avatar_split_clause,[],[f345,f322,f351,f347]) ).
fof(f355,plain,
( ~ stable(sk3)
| ~ environment(sk3)
| spl0_23 ),
inference(resolution,[],[f353,f52]) ).
fof(f356,plain,
( ~ environment(sk3)
| spl0_23 ),
inference(forward_subsumption_resolution,[],[f355,f55]) ).
fof(f357,plain,
( $false
| spl0_23 ),
inference(forward_subsumption_resolution,[],[f356,f54]) ).
fof(f358,plain,
spl0_23,
inference(avatar_contradiction_clause,[],[f357]) ).
fof(f362,plain,
( ! [X0] :
( ~ in_environment(X0,sk4(sk2(sk3)))
| ~ environment(X0)
| ~ in_environment(sk3,sk2(sk3))
| greater(zero,growth_rate(first_movers,sk4(sk2(sk3)))) )
| ~ spl0_19 ),
inference(resolution,[],[f329,f103]) ).
fof(f363,plain,
( ! [X0] :
( ~ in_environment(X0,sk4(sk2(sk3)))
| ~ environment(X0)
| greater(zero,growth_rate(first_movers,sk4(sk2(sk3)))) )
| ~ spl0_19
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f362,f352]) ).
fof(f365,definition,
( spl0_24
<=> greater(zero,growth_rate(first_movers,sk4(sk2(sk3)))) ),
introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).
fof(f366,plain,
( ~ greater(zero,growth_rate(first_movers,sk4(sk2(sk3))))
| spl0_24 ),
inference(avatar_component_clause,[],[f365]) ).
fof(f367,plain,
( greater(zero,growth_rate(first_movers,sk4(sk2(sk3))))
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f365]) ).
fof(f369,definition,
( spl0_25
<=> ! [X0] :
( ~ in_environment(X0,sk4(sk2(sk3)))
| ~ environment(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
fof(f370,plain,
( ! [X0] :
( ~ in_environment(X0,sk4(sk2(sk3)))
| ~ environment(X0) )
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f369]) ).
fof(f371,plain,
( spl0_24
| spl0_25
| ~ spl0_19
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f363,f351,f327,f369,f365]) ).
fof(f372,plain,
( ! [X0] :
( ~ in_environment(X0,sk4(sk2(sk3)))
| ~ environment(X0)
| ~ in_environment(sk3,sk2(sk3))
| greater(zero,growth_rate(efficient_producers,sk4(sk2(sk3)))) )
| ~ spl0_16 ),
inference(resolution,[],[f316,f111]) ).
fof(f373,plain,
( ! [X0] :
( ~ in_environment(X0,sk4(sk2(sk3)))
| ~ environment(X0)
| greater(zero,growth_rate(efficient_producers,sk4(sk2(sk3)))) )
| ~ spl0_16
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f372,f352]) ).
fof(f375,definition,
( spl0_26
<=> greater(zero,growth_rate(efficient_producers,sk4(sk2(sk3)))) ),
introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).
fof(f377,plain,
( greater(zero,growth_rate(efficient_producers,sk4(sk2(sk3))))
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f375]) ).
fof(f378,plain,
( spl0_26
| spl0_25
| ~ spl0_16
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f373,f351,f314,f369,f375]) ).
fof(f379,plain,
( ! [X0] :
( ~ in_environment(X0,sk4(sk2(sk3)))
| ~ environment(X0)
| ~ in_environment(sk3,sk2(sk3))
| zero = growth_rate(first_movers,sk4(sk2(sk3))) )
| ~ spl0_21 ),
inference(resolution,[],[f340,f101]) ).
fof(f380,plain,
( ! [X0] :
( ~ in_environment(X0,sk4(sk2(sk3)))
| ~ environment(X0)
| zero = growth_rate(first_movers,sk4(sk2(sk3))) )
| ~ spl0_21
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f379,f352]) ).
fof(f382,definition,
( spl0_27
<=> zero = growth_rate(first_movers,sk4(sk2(sk3))) ),
introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).
fof(f384,plain,
( zero = growth_rate(first_movers,sk4(sk2(sk3)))
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f382]) ).
fof(f385,plain,
( spl0_27
| spl0_25
| ~ spl0_21
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f380,f351,f338,f369,f382]) ).
fof(f387,plain,
( ~ in_environment(sk3,sk2(sk3))
| sk2(sk3) = sk4(sk2(sk3))
| greater(equilibrium(sk3),sk2(sk3))
| ~ spl0_22 ),
inference(resolution,[],[f349,f95]) ).
fof(f391,plain,
( sk2(sk3) = sk4(sk2(sk3))
| greater(equilibrium(sk3),sk2(sk3))
| ~ spl0_22
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f387,f352]) ).
fof(f394,definition,
( spl0_28
<=> greater(equilibrium(sk3),sk2(sk3)) ),
introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).
fof(f395,plain,
( ~ greater(equilibrium(sk3),sk2(sk3))
| spl0_28 ),
inference(avatar_component_clause,[],[f394]) ).
fof(f396,plain,
( greater(equilibrium(sk3),sk2(sk3))
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f394]) ).
fof(f398,definition,
( spl0_29
<=> sk2(sk3) = sk4(sk2(sk3)) ),
introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).
fof(f400,plain,
( sk2(sk3) = sk4(sk2(sk3))
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f398]) ).
fof(f401,plain,
( spl0_28
| spl0_29
| ~ spl0_22
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f391,f351,f347,f398,f394]) ).
fof(f404,plain,
( ~ greater(growth_rate(first_movers,sk4(sk2(sk3))),zero)
| ~ spl0_24 ),
inference(resolution,[],[f367,f33]) ).
fof(f407,plain,
( ! [X0] :
( ~ in_environment(X0,sk4(sk2(sk3)))
| ~ environment(X0)
| ~ in_environment(sk3,sk2(sk3))
| zero = growth_rate(efficient_producers,sk4(sk2(sk3))) )
| ~ spl0_17 ),
inference(resolution,[],[f320,f109]) ).
fof(f408,plain,
( ! [X0] :
( ~ in_environment(X0,sk4(sk2(sk3)))
| ~ environment(X0)
| zero = growth_rate(efficient_producers,sk4(sk2(sk3))) )
| ~ spl0_17
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f407,f352]) ).
fof(f410,definition,
( spl0_30
<=> zero = growth_rate(efficient_producers,sk4(sk2(sk3))) ),
introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).
fof(f412,plain,
( zero = growth_rate(efficient_producers,sk4(sk2(sk3)))
| ~ spl0_30 ),
inference(avatar_component_clause,[],[f410]) ).
fof(f413,plain,
( spl0_30
| spl0_25
| ~ spl0_17
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f408,f351,f318,f369,f410]) ).
fof(f415,plain,
( ~ constant(number_of_organizations(sk3,sk4(sk1(sk3))))
| constant(cardinality_at_time(first_movers,sk4(sk1(sk3))))
| increases(cardinality_at_time(first_movers,sk4(sk1(sk3))))
| increases(cardinality_at_time(efficient_producers,sk4(sk1(sk3)))) ),
inference(superposition,[],[f62,f299]) ).
fof(f417,plain,
( ~ constant(number_of_organizations(sk3,sk4(sk1(sk3))))
| constant(cardinality_at_time(first_movers,sk4(sk1(sk3))))
| decreases(cardinality_at_time(efficient_producers,sk4(sk1(sk3))))
| increases(cardinality_at_time(efficient_producers,sk4(sk1(sk3)))) ),
inference(superposition,[],[f64,f299]) ).
fof(f420,plain,
( ~ constant(number_of_organizations(sk3,sk4(sk1(sk3))))
| constant(cardinality_at_time(efficient_producers,sk4(sk1(sk3))))
| decreases(cardinality_at_time(efficient_producers,sk4(sk1(sk3))))
| decreases(cardinality_at_time(first_movers,sk4(sk1(sk3)))) ),
inference(superposition,[],[f67,f299]) ).
fof(f421,plain,
( ~ constant(number_of_organizations(sk3,sk4(sk1(sk3))))
| constant(cardinality_at_time(efficient_producers,sk4(sk1(sk3))))
| decreases(cardinality_at_time(efficient_producers,sk4(sk1(sk3))))
| increases(cardinality_at_time(efficient_producers,sk4(sk1(sk3)))) ),
inference(superposition,[],[f68,f299]) ).
fof(f423,definition,
( spl0_31
<=> increases(cardinality_at_time(efficient_producers,sk4(sk1(sk3)))) ),
introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).
fof(f425,plain,
( increases(cardinality_at_time(efficient_producers,sk4(sk1(sk3))))
| ~ spl0_31 ),
inference(avatar_component_clause,[],[f423]) ).
fof(f427,definition,
( spl0_32
<=> decreases(cardinality_at_time(efficient_producers,sk4(sk1(sk3)))) ),
introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).
fof(f429,plain,
( decreases(cardinality_at_time(efficient_producers,sk4(sk1(sk3))))
| ~ spl0_32 ),
inference(avatar_component_clause,[],[f427]) ).
fof(f431,definition,
( spl0_33
<=> constant(cardinality_at_time(efficient_producers,sk4(sk1(sk3)))) ),
introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).
fof(f433,plain,
( constant(cardinality_at_time(efficient_producers,sk4(sk1(sk3))))
| ~ spl0_33 ),
inference(avatar_component_clause,[],[f431]) ).
fof(f435,definition,
( spl0_34
<=> constant(number_of_organizations(sk3,sk4(sk1(sk3)))) ),
introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).
fof(f437,plain,
( ~ constant(number_of_organizations(sk3,sk4(sk1(sk3))))
| spl0_34 ),
inference(avatar_component_clause,[],[f435]) ).
fof(f438,plain,
( spl0_31
| spl0_32
| spl0_33
| ~ spl0_34 ),
inference(avatar_split_clause,[],[f421,f435,f431,f427,f423]) ).
fof(f440,definition,
( spl0_35
<=> decreases(cardinality_at_time(first_movers,sk4(sk1(sk3)))) ),
introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).
fof(f442,plain,
( decreases(cardinality_at_time(first_movers,sk4(sk1(sk3))))
| ~ spl0_35 ),
inference(avatar_component_clause,[],[f440]) ).
fof(f443,plain,
( spl0_35
| spl0_32
| spl0_33
| ~ spl0_34 ),
inference(avatar_split_clause,[],[f420,f435,f431,f427,f440]) ).
fof(f445,definition,
( spl0_36
<=> increases(cardinality_at_time(first_movers,sk4(sk1(sk3)))) ),
introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).
fof(f447,plain,
( increases(cardinality_at_time(first_movers,sk4(sk1(sk3))))
| ~ spl0_36 ),
inference(avatar_component_clause,[],[f445]) ).
fof(f451,definition,
( spl0_37
<=> constant(cardinality_at_time(first_movers,sk4(sk1(sk3)))) ),
introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).
fof(f453,plain,
( constant(cardinality_at_time(first_movers,sk4(sk1(sk3))))
| ~ spl0_37 ),
inference(avatar_component_clause,[],[f451]) ).
fof(f454,plain,
( spl0_31
| spl0_32
| spl0_37
| ~ spl0_34 ),
inference(avatar_split_clause,[],[f417,f435,f451,f427,f423]) ).
fof(f456,plain,
( spl0_31
| spl0_36
| spl0_37
| ~ spl0_34 ),
inference(avatar_split_clause,[],[f415,f435,f451,f445,f423]) ).
fof(f458,plain,
( ~ in_environment(sk3,sk1(sk3))
| greater(equilibrium(sk3),sk4(sk1(sk3)))
| spl0_34 ),
inference(resolution,[],[f437,f277]) ).
fof(f460,definition,
( spl0_38
<=> greater(equilibrium(sk3),sk4(sk1(sk3))) ),
introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).
fof(f462,plain,
( greater(equilibrium(sk3),sk4(sk1(sk3)))
| ~ spl0_38 ),
inference(avatar_component_clause,[],[f460]) ).
fof(f464,definition,
( spl0_39
<=> in_environment(sk3,sk1(sk3)) ),
introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).
fof(f465,plain,
( in_environment(sk3,sk1(sk3))
| ~ spl0_39 ),
inference(avatar_component_clause,[],[f464]) ).
fof(f466,plain,
( ~ in_environment(sk3,sk1(sk3))
| spl0_39 ),
inference(avatar_component_clause,[],[f464]) ).
fof(f467,plain,
( spl0_38
| ~ spl0_39
| spl0_34 ),
inference(avatar_split_clause,[],[f458,f435,f464,f460]) ).
fof(f468,plain,
( ~ stable(sk3)
| ~ environment(sk3)
| spl0_39 ),
inference(resolution,[],[f466,f46]) ).
fof(f469,plain,
( ~ environment(sk3)
| spl0_39 ),
inference(forward_subsumption_resolution,[],[f468,f55]) ).
fof(f470,plain,
( $false
| spl0_39 ),
inference(forward_subsumption_resolution,[],[f469,f54]) ).
fof(f471,plain,
spl0_39,
inference(avatar_contradiction_clause,[],[f470]) ).
fof(f475,plain,
( ! [X0] :
( ~ in_environment(X0,sk4(sk1(sk3)))
| ~ environment(X0)
| ~ in_environment(sk3,sk1(sk3))
| greater(zero,growth_rate(first_movers,sk4(sk1(sk3)))) )
| ~ spl0_35 ),
inference(resolution,[],[f442,f103]) ).
fof(f476,plain,
( ! [X0] :
( ~ in_environment(X0,sk4(sk1(sk3)))
| ~ environment(X0)
| greater(zero,growth_rate(first_movers,sk4(sk1(sk3)))) )
| ~ spl0_35
| ~ spl0_39 ),
inference(forward_subsumption_resolution,[],[f475,f465]) ).
fof(f478,definition,
( spl0_40
<=> greater(zero,growth_rate(first_movers,sk4(sk1(sk3)))) ),
introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).
fof(f479,plain,
( ~ greater(zero,growth_rate(first_movers,sk4(sk1(sk3))))
| spl0_40 ),
inference(avatar_component_clause,[],[f478]) ).
fof(f480,plain,
( greater(zero,growth_rate(first_movers,sk4(sk1(sk3))))
| ~ spl0_40 ),
inference(avatar_component_clause,[],[f478]) ).
fof(f482,definition,
( spl0_41
<=> ! [X0] :
( ~ in_environment(X0,sk4(sk1(sk3)))
| ~ environment(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).
fof(f483,plain,
( ! [X0] :
( ~ in_environment(X0,sk4(sk1(sk3)))
| ~ environment(X0) )
| ~ spl0_41 ),
inference(avatar_component_clause,[],[f482]) ).
fof(f484,plain,
( spl0_40
| spl0_41
| ~ spl0_35
| ~ spl0_39 ),
inference(avatar_split_clause,[],[f476,f464,f440,f482,f478]) ).
fof(f485,plain,
( ! [X0] :
( ~ in_environment(X0,sk4(sk1(sk3)))
| ~ environment(X0)
| ~ in_environment(sk3,sk1(sk3))
| greater(zero,growth_rate(efficient_producers,sk4(sk1(sk3)))) )
| ~ spl0_32 ),
inference(resolution,[],[f429,f111]) ).
fof(f486,plain,
( ! [X0] :
( ~ in_environment(X0,sk4(sk1(sk3)))
| ~ environment(X0)
| greater(zero,growth_rate(efficient_producers,sk4(sk1(sk3)))) )
| ~ spl0_32
| ~ spl0_39 ),
inference(forward_subsumption_resolution,[],[f485,f465]) ).
fof(f488,definition,
( spl0_42
<=> greater(zero,growth_rate(efficient_producers,sk4(sk1(sk3)))) ),
introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).
fof(f490,plain,
( greater(zero,growth_rate(efficient_producers,sk4(sk1(sk3))))
| ~ spl0_42 ),
inference(avatar_component_clause,[],[f488]) ).
fof(f491,plain,
( spl0_42
| spl0_41
| ~ spl0_32
| ~ spl0_39 ),
inference(avatar_split_clause,[],[f486,f464,f427,f482,f488]) ).
fof(f492,plain,
( ! [X0] :
( ~ in_environment(X0,sk4(sk1(sk3)))
| ~ environment(X0)
| ~ in_environment(sk3,sk1(sk3))
| zero = growth_rate(first_movers,sk4(sk1(sk3))) )
| ~ spl0_37 ),
inference(resolution,[],[f453,f101]) ).
fof(f493,plain,
( ! [X0] :
( ~ in_environment(X0,sk4(sk1(sk3)))
| ~ environment(X0)
| zero = growth_rate(first_movers,sk4(sk1(sk3))) )
| ~ spl0_37
| ~ spl0_39 ),
inference(forward_subsumption_resolution,[],[f492,f465]) ).
fof(f495,definition,
( spl0_43
<=> zero = growth_rate(first_movers,sk4(sk1(sk3))) ),
introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).
fof(f497,plain,
( zero = growth_rate(first_movers,sk4(sk1(sk3)))
| ~ spl0_43 ),
inference(avatar_component_clause,[],[f495]) ).
fof(f498,plain,
( spl0_43
| spl0_41
| ~ spl0_37
| ~ spl0_39 ),
inference(avatar_split_clause,[],[f493,f464,f451,f482,f495]) ).
fof(f500,plain,
( ~ in_environment(sk3,sk1(sk3))
| sk1(sk3) = sk4(sk1(sk3))
| greater(equilibrium(sk3),sk1(sk3))
| ~ spl0_38 ),
inference(resolution,[],[f462,f95]) ).
fof(f504,plain,
( sk1(sk3) = sk4(sk1(sk3))
| greater(equilibrium(sk3),sk1(sk3))
| ~ spl0_38
| ~ spl0_39 ),
inference(forward_subsumption_resolution,[],[f500,f465]) ).
fof(f507,definition,
( spl0_44
<=> greater(equilibrium(sk3),sk1(sk3)) ),
introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).
fof(f508,plain,
( ~ greater(equilibrium(sk3),sk1(sk3))
| spl0_44 ),
inference(avatar_component_clause,[],[f507]) ).
fof(f509,plain,
( greater(equilibrium(sk3),sk1(sk3))
| ~ spl0_44 ),
inference(avatar_component_clause,[],[f507]) ).
fof(f511,definition,
( spl0_45
<=> sk1(sk3) = sk4(sk1(sk3)) ),
introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).
fof(f513,plain,
( sk1(sk3) = sk4(sk1(sk3))
| ~ spl0_45 ),
inference(avatar_component_clause,[],[f511]) ).
fof(f514,plain,
( spl0_44
| spl0_45
| ~ spl0_38
| ~ spl0_39 ),
inference(avatar_split_clause,[],[f504,f464,f460,f511,f507]) ).
fof(f516,plain,
( ~ greater(growth_rate(first_movers,sk4(sk1(sk3))),zero)
| ~ spl0_40 ),
inference(resolution,[],[f480,f33]) ).
fof(f520,plain,
( ! [X0] :
( ~ in_environment(X0,sk4(sk1(sk3)))
| ~ environment(X0)
| ~ in_environment(sk3,sk1(sk3))
| zero = growth_rate(efficient_producers,sk4(sk1(sk3))) )
| ~ spl0_33 ),
inference(resolution,[],[f433,f109]) ).
fof(f521,plain,
( ! [X0] :
( ~ in_environment(X0,sk4(sk1(sk3)))
| ~ environment(X0)
| zero = growth_rate(efficient_producers,sk4(sk1(sk3))) )
| ~ spl0_33
| ~ spl0_39 ),
inference(forward_subsumption_resolution,[],[f520,f465]) ).
fof(f523,definition,
( spl0_46
<=> zero = growth_rate(efficient_producers,sk4(sk1(sk3))) ),
introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).
fof(f525,plain,
( zero = growth_rate(efficient_producers,sk4(sk1(sk3)))
| ~ spl0_46 ),
inference(avatar_component_clause,[],[f523]) ).
fof(f526,plain,
( spl0_46
| spl0_41
| ~ spl0_33
| ~ spl0_39 ),
inference(avatar_split_clause,[],[f521,f464,f431,f482,f523]) ).
fof(f527,plain,
( ! [X0] :
( ~ in_environment(X0,sk4(sk2(sk3)))
| ~ environment(X0)
| ~ in_environment(sk3,sk2(sk3))
| greater(growth_rate(first_movers,sk4(sk2(sk3))),zero) )
| ~ spl0_20 ),
inference(resolution,[],[f334,f102]) ).
fof(f528,plain,
( ! [X0] :
( ~ in_environment(X0,sk4(sk2(sk3)))
| ~ environment(X0)
| greater(growth_rate(first_movers,sk4(sk2(sk3))),zero) )
| ~ spl0_20
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f527,f352]) ).
fof(f529,plain,
( ! [X0] :
( ~ in_environment(X0,sk4(sk2(sk3)))
| ~ environment(X0) )
| ~ spl0_20
| ~ spl0_23
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f528,f404]) ).
fof(f530,plain,
( spl0_25
| ~ spl0_20
| ~ spl0_23
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f529,f365,f351,f332,f369]) ).
fof(f531,plain,
( ! [X0] :
( ~ in_environment(X0,sk4(sk2(sk3)))
| ~ environment(X0)
| ~ in_environment(sk3,sk2(sk3))
| greater(growth_rate(efficient_producers,sk4(sk2(sk3))),zero) )
| ~ spl0_15 ),
inference(resolution,[],[f312,f110]) ).
fof(f532,plain,
( ! [X0] :
( ~ in_environment(X0,sk4(sk2(sk3)))
| ~ environment(X0)
| greater(growth_rate(efficient_producers,sk4(sk2(sk3))),zero) )
| ~ spl0_15
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f531,f352]) ).
fof(f534,definition,
( spl0_47
<=> greater(growth_rate(efficient_producers,sk4(sk2(sk3))),zero) ),
introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).
fof(f536,plain,
( greater(growth_rate(efficient_producers,sk4(sk2(sk3))),zero)
| ~ spl0_47 ),
inference(avatar_component_clause,[],[f534]) ).
fof(f537,plain,
( spl0_47
| spl0_25
| ~ spl0_15
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f532,f351,f310,f369,f534]) ).
fof(f538,plain,
( ~ environment(sk3)
| ~ in_environment(sk3,sk2(sk3))
| ~ spl0_25 ),
inference(resolution,[],[f370,f77]) ).
fof(f539,plain,
( ~ in_environment(sk3,sk2(sk3))
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[],[f538,f54]) ).
fof(f540,plain,
( $false
| ~ spl0_23
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[],[f539,f352]) ).
fof(f541,plain,
( ~ spl0_23
| ~ spl0_25 ),
inference(avatar_contradiction_clause,[],[f540]) ).
fof(f545,plain,
( ~ greater(zero,growth_rate(efficient_producers,sk4(sk2(sk3))))
| ~ greater_or_equal(sk4(sk2(sk3)),sk2(sk3))
| ~ in_environment(sk3,sk2(sk3))
| ~ spl0_27 ),
inference(superposition,[],[f116,f384]) ).
fof(f546,plain,
( greater(growth_rate(efficient_producers,sk4(sk2(sk3))),zero)
| ~ greater_or_equal(sk4(sk2(sk3)),sk2(sk3))
| ~ in_environment(sk3,sk2(sk3))
| ~ spl0_27 ),
inference(superposition,[],[f75,f384]) ).
fof(f549,plain,
( greater(growth_rate(efficient_producers,sk4(sk2(sk3))),zero)
| ~ in_environment(sk3,sk2(sk3))
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f546,f57]) ).
fof(f550,plain,
( ~ greater(zero,growth_rate(efficient_producers,sk4(sk2(sk3))))
| ~ in_environment(sk3,sk2(sk3))
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f545,f57]) ).
fof(f554,plain,
( greater(growth_rate(efficient_producers,sk4(sk2(sk3))),zero)
| ~ spl0_23
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f549,f352]) ).
fof(f555,plain,
( ~ greater(zero,growth_rate(efficient_producers,sk4(sk2(sk3))))
| ~ spl0_23
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f550,f352]) ).
fof(f557,plain,
( greater(zero,zero)
| ~ spl0_23
| ~ spl0_27
| ~ spl0_30 ),
inference(forward_demodulation,[],[f554,f412]) ).
fof(f560,plain,
( $false
| ~ spl0_23
| ~ spl0_27
| ~ spl0_30 ),
inference(forward_subsumption_resolution,[],[f557,f69]) ).
fof(f561,plain,
( ~ spl0_23
| ~ spl0_27
| ~ spl0_30 ),
inference(avatar_contradiction_clause,[],[f560]) ).
fof(f564,plain,
( ~ spl0_26
| ~ spl0_23
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f555,f382,f351,f375]) ).
fof(f567,plain,
( ! [X0] :
( ~ greater(X0,equilibrium(sk3))
| greater(X0,sk2(sk3)) )
| ~ spl0_28 ),
inference(resolution,[],[f396,f34]) ).
fof(f573,plain,
( greater_or_equal(growth_rate(efficient_producers,sk4(sk2(sk3))),zero)
| ~ spl0_47 ),
inference(resolution,[],[f536,f38]) ).
fof(f574,plain,
( ~ greater(zero,growth_rate(efficient_producers,sk4(sk2(sk3))))
| ~ spl0_47 ),
inference(resolution,[],[f536,f33]) ).
fof(f582,plain,
( greater(sk1(sk3),sk2(sk3))
| equilibrium(sk3) = sk1(sk3)
| ~ stable(sk3)
| ~ environment(sk3)
| ~ spl0_28 ),
inference(resolution,[],[f567,f82]) ).
fof(f609,plain,
( greater(sk1(sk3),sk2(sk3))
| equilibrium(sk3) = sk1(sk3)
| ~ environment(sk3)
| ~ spl0_28 ),
inference(forward_subsumption_resolution,[],[f582,f55]) ).
fof(f610,plain,
( greater(sk1(sk3),sk2(sk3))
| equilibrium(sk3) = sk1(sk3)
| ~ spl0_28 ),
inference(forward_subsumption_resolution,[],[f609,f54]) ).
fof(f612,definition,
( spl0_53
<=> equilibrium(sk3) = sk1(sk3) ),
introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition]) ).
fof(f614,plain,
( equilibrium(sk3) = sk1(sk3)
| ~ spl0_53 ),
inference(avatar_component_clause,[],[f612]) ).
fof(f616,definition,
( spl0_54
<=> greater(sk1(sk3),sk2(sk3)) ),
introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).
fof(f617,plain,
( ~ greater(sk1(sk3),sk2(sk3))
| spl0_54 ),
inference(avatar_component_clause,[],[f616]) ).
fof(f618,plain,
( greater(sk1(sk3),sk2(sk3))
| ~ spl0_54 ),
inference(avatar_component_clause,[],[f616]) ).
fof(f619,plain,
( spl0_53
| spl0_54
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f610,f394,f616,f612]) ).
fof(f672,plain,
( ! [X0] :
( ~ in_environment(X0,sk4(sk1(sk3)))
| ~ environment(X0)
| ~ in_environment(sk3,sk1(sk3))
| greater(growth_rate(first_movers,sk4(sk1(sk3))),zero) )
| ~ spl0_36 ),
inference(resolution,[],[f447,f102]) ).
fof(f674,plain,
( ! [X0] :
( ~ in_environment(X0,sk4(sk1(sk3)))
| ~ environment(X0)
| greater(growth_rate(first_movers,sk4(sk1(sk3))),zero) )
| ~ spl0_36
| ~ spl0_39 ),
inference(forward_subsumption_resolution,[],[f672,f465]) ).
fof(f675,plain,
( ! [X0] :
( ~ in_environment(X0,sk4(sk1(sk3)))
| ~ environment(X0) )
| ~ spl0_36
| ~ spl0_39
| ~ spl0_40 ),
inference(forward_subsumption_resolution,[],[f674,f516]) ).
fof(f682,plain,
( spl0_41
| ~ spl0_36
| ~ spl0_39
| ~ spl0_40 ),
inference(avatar_split_clause,[],[f675,f478,f464,f445,f482]) ).
fof(f689,plain,
( greater(equilibrium(sk3),sk2(sk3))
| ~ spl0_22
| ~ spl0_29 ),
inference(superposition,[],[f349,f400]) ).
fof(f744,plain,
( $false
| ~ spl0_22
| spl0_28
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f689,f395]) ).
fof(f745,plain,
( ~ spl0_22
| spl0_28
| ~ spl0_29 ),
inference(avatar_contradiction_clause,[],[f744]) ).
fof(f777,plain,
( ! [X0] :
( ~ greater(X0,sk1(sk3))
| greater(X0,sk2(sk3)) )
| ~ spl0_54 ),
inference(resolution,[],[f618,f34]) ).
fof(f781,plain,
( ~ environment(sk3)
| ~ in_environment(sk3,sk1(sk3))
| ~ spl0_41 ),
inference(resolution,[],[f483,f77]) ).
fof(f782,plain,
( ~ in_environment(sk3,sk1(sk3))
| ~ spl0_41 ),
inference(forward_subsumption_resolution,[],[f781,f54]) ).
fof(f783,plain,
( $false
| ~ spl0_39
| ~ spl0_41 ),
inference(forward_subsumption_resolution,[],[f782,f465]) ).
fof(f784,plain,
( ~ spl0_39
| ~ spl0_41 ),
inference(avatar_contradiction_clause,[],[f783]) ).
fof(f792,plain,
( ! [X0] :
( ~ in_environment(X0,sk4(sk1(sk3)))
| ~ environment(X0)
| ~ in_environment(sk3,sk1(sk3))
| greater(growth_rate(efficient_producers,sk4(sk1(sk3))),zero) )
| ~ spl0_31 ),
inference(resolution,[],[f425,f110]) ).
fof(f793,plain,
( ! [X0] :
( ~ in_environment(X0,sk4(sk1(sk3)))
| ~ environment(X0)
| greater(growth_rate(efficient_producers,sk4(sk1(sk3))),zero) )
| ~ spl0_31
| ~ spl0_39 ),
inference(forward_subsumption_resolution,[],[f792,f465]) ).
fof(f795,definition,
( spl0_58
<=> greater(growth_rate(efficient_producers,sk4(sk1(sk3))),zero) ),
introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition]) ).
fof(f796,plain,
( ~ greater(growth_rate(efficient_producers,sk4(sk1(sk3))),zero)
| spl0_58 ),
inference(avatar_component_clause,[],[f795]) ).
fof(f797,plain,
( greater(growth_rate(efficient_producers,sk4(sk1(sk3))),zero)
| ~ spl0_58 ),
inference(avatar_component_clause,[],[f795]) ).
fof(f798,plain,
( spl0_58
| spl0_41
| ~ spl0_31
| ~ spl0_39 ),
inference(avatar_split_clause,[],[f793,f464,f423,f482,f795]) ).
fof(f799,plain,
( greater_or_equal(growth_rate(efficient_producers,sk4(sk1(sk3))),zero)
| ~ spl0_58 ),
inference(resolution,[],[f797,f38]) ).
fof(f800,plain,
( ~ greater(zero,growth_rate(efficient_producers,sk4(sk1(sk3))))
| ~ spl0_58 ),
inference(resolution,[],[f797,f33]) ).
fof(f802,plain,
( ~ spl0_42
| ~ spl0_58 ),
inference(avatar_split_clause,[],[f800,f795,f488]) ).
fof(f803,plain,
( ! [X0,X1] :
( ~ greater(zero,growth_rate(X0,sk4(sk1(sk3))))
| ~ environment(X1)
| ~ subpopulations(X0,efficient_producers,X1,sk4(sk1(sk3)))
| outcompetes(efficient_producers,X0,sk4(sk1(sk3))) )
| ~ spl0_58 ),
inference(resolution,[],[f799,f41]) ).
fof(f809,plain,
( greater(sk4(sk1(sk3)),sk2(sk3))
| sk1(sk3) = sk4(sk1(sk3))
| ~ in_environment(sk3,sk1(sk3))
| ~ spl0_54 ),
inference(resolution,[],[f777,f81]) ).
fof(f812,plain,
( greater(sk4(sk1(sk3)),sk2(sk3))
| sk1(sk3) = sk4(sk1(sk3))
| ~ spl0_39
| ~ spl0_54 ),
inference(forward_subsumption_resolution,[],[f809,f465]) ).
fof(f824,definition,
( spl0_61
<=> greater(sk4(sk1(sk3)),sk2(sk3)) ),
introduced(definition,[new_symbols(definition,[spl0_61])],[avatar_definition]) ).
fof(f825,plain,
( ~ greater(sk4(sk1(sk3)),sk2(sk3))
| spl0_61 ),
inference(avatar_component_clause,[],[f824]) ).
fof(f826,plain,
( greater(sk4(sk1(sk3)),sk2(sk3))
| ~ spl0_61 ),
inference(avatar_component_clause,[],[f824]) ).
fof(f827,plain,
( spl0_45
| spl0_61
| ~ spl0_39
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f812,f616,f464,f824,f511]) ).
fof(f829,plain,
( greater_or_equal(sk4(sk1(sk3)),sk2(sk3))
| ~ spl0_61 ),
inference(resolution,[],[f826,f38]) ).
fof(f836,plain,
( ! [X0] :
( ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,sk4(sk1(sk3)))
| outcompetes(efficient_producers,first_movers,sk4(sk1(sk3))) )
| ~ spl0_40
| ~ spl0_58 ),
inference(resolution,[],[f803,f480]) ).
fof(f838,definition,
( spl0_62
<=> outcompetes(efficient_producers,first_movers,sk4(sk1(sk3))) ),
introduced(definition,[new_symbols(definition,[spl0_62])],[avatar_definition]) ).
fof(f840,plain,
( outcompetes(efficient_producers,first_movers,sk4(sk1(sk3)))
| ~ spl0_62 ),
inference(avatar_component_clause,[],[f838]) ).
fof(f842,definition,
( spl0_63
<=> ! [X0] :
( ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,sk4(sk1(sk3))) ) ),
introduced(definition,[new_symbols(definition,[spl0_63])],[avatar_definition]) ).
fof(f843,plain,
( ! [X0] :
( ~ subpopulations(first_movers,efficient_producers,X0,sk4(sk1(sk3)))
| ~ environment(X0) )
| ~ spl0_63 ),
inference(avatar_component_clause,[],[f842]) ).
fof(f844,plain,
( spl0_62
| spl0_63
| ~ spl0_40
| ~ spl0_58 ),
inference(avatar_split_clause,[],[f836,f795,f478,f842,f838]) ).
fof(f845,plain,
( ~ in_environment(sk3,sk1(sk3))
| ~ spl0_62 ),
inference(resolution,[],[f840,f58]) ).
fof(f846,plain,
( $false
| ~ spl0_39
| ~ spl0_62 ),
inference(forward_subsumption_resolution,[],[f845,f465]) ).
fof(f847,plain,
( ~ spl0_39
| ~ spl0_62 ),
inference(avatar_contradiction_clause,[],[f846]) ).
fof(f848,plain,
( ~ environment(sk3)
| ~ in_environment(sk3,sk1(sk3))
| ~ spl0_63 ),
inference(resolution,[],[f843,f56]) ).
fof(f849,plain,
( ~ in_environment(sk3,sk1(sk3))
| ~ spl0_63 ),
inference(forward_subsumption_resolution,[],[f848,f54]) ).
fof(f850,plain,
( $false
| ~ spl0_39
| ~ spl0_63 ),
inference(forward_subsumption_resolution,[],[f849,f465]) ).
fof(f851,plain,
( ~ spl0_39
| ~ spl0_63 ),
inference(avatar_contradiction_clause,[],[f850]) ).
fof(f852,plain,
( ~ environment(sk3)
| ~ stable(sk3)
| ~ spl0_44 ),
inference(resolution,[],[f509,f80]) ).
fof(f859,plain,
( ~ stable(sk3)
| ~ spl0_44 ),
inference(forward_subsumption_resolution,[],[f852,f54]) ).
fof(f861,plain,
( $false
| ~ spl0_44 ),
inference(forward_subsumption_resolution,[],[f859,f55]) ).
fof(f862,plain,
~ spl0_44,
inference(avatar_contradiction_clause,[],[f861]) ).
fof(f867,plain,
( ~ greater(zero,growth_rate(efficient_producers,sk4(sk1(sk3))))
| ~ greater_or_equal(sk4(sk1(sk3)),sk2(sk3))
| ~ in_environment(sk3,sk1(sk3))
| ~ spl0_43 ),
inference(superposition,[],[f116,f497]) ).
fof(f868,plain,
( greater(growth_rate(efficient_producers,sk4(sk1(sk3))),zero)
| ~ greater_or_equal(sk4(sk1(sk3)),sk2(sk3))
| ~ in_environment(sk3,sk1(sk3))
| ~ spl0_43 ),
inference(superposition,[],[f75,f497]) ).
fof(f874,plain,
( greater(zero,zero)
| ~ spl0_46
| ~ spl0_58 ),
inference(superposition,[],[f797,f525]) ).
fof(f885,plain,
( $false
| ~ spl0_46
| ~ spl0_58 ),
inference(forward_subsumption_resolution,[],[f874,f69]) ).
fof(f886,plain,
( ~ spl0_46
| ~ spl0_58 ),
inference(avatar_contradiction_clause,[],[f885]) ).
fof(f896,plain,
( ~ greater_or_equal(sk4(sk1(sk3)),sk2(sk3))
| ~ in_environment(sk3,sk1(sk3))
| ~ spl0_43
| spl0_58 ),
inference(forward_subsumption_resolution,[],[f868,f796]) ).
fof(f898,plain,
( ~ greater_or_equal(sk4(sk1(sk3)),sk2(sk3))
| ~ in_environment(sk3,sk1(sk3))
| ~ spl0_42
| ~ spl0_43 ),
inference(forward_subsumption_resolution,[],[f867,f490]) ).
fof(f899,plain,
( ~ in_environment(sk3,sk1(sk3))
| ~ spl0_43
| spl0_58
| ~ spl0_61 ),
inference(forward_subsumption_resolution,[],[f896,f829]) ).
fof(f901,plain,
( ~ in_environment(sk3,sk1(sk3))
| ~ spl0_42
| ~ spl0_43
| ~ spl0_61 ),
inference(forward_subsumption_resolution,[],[f898,f829]) ).
fof(f902,plain,
( $false
| ~ spl0_39
| ~ spl0_43
| spl0_58
| ~ spl0_61 ),
inference(forward_subsumption_resolution,[],[f899,f465]) ).
fof(f903,plain,
( ~ spl0_39
| ~ spl0_43
| spl0_58
| ~ spl0_61 ),
inference(avatar_contradiction_clause,[],[f902]) ).
fof(f904,plain,
( $false
| ~ spl0_39
| ~ spl0_42
| ~ spl0_43
| ~ spl0_61 ),
inference(forward_subsumption_resolution,[],[f901,f465]) ).
fof(f905,plain,
( ~ spl0_39
| ~ spl0_42
| ~ spl0_43
| ~ spl0_61 ),
inference(avatar_contradiction_clause,[],[f904]) ).
fof(f906,plain,
( ~ greater(equilibrium(sk3),sk2(sk3))
| ~ spl0_53
| spl0_54 ),
inference(forward_demodulation,[],[f617,f614]) ).
fof(f911,plain,
( $false
| ~ spl0_28
| ~ spl0_53
| spl0_54 ),
inference(forward_subsumption_resolution,[],[f906,f396]) ).
fof(f912,plain,
( ~ spl0_28
| ~ spl0_53
| spl0_54 ),
inference(avatar_contradiction_clause,[],[f911]) ).
fof(f975,plain,
( greater(zero,growth_rate(first_movers,sk4(sk1(sk3))))
| ~ greater_or_equal(sk4(sk1(sk3)),sk2(sk3))
| ~ in_environment(sk3,sk1(sk3))
| ~ spl0_42 ),
inference(resolution,[],[f490,f93]) ).
fof(f998,plain,
( greater(zero,growth_rate(first_movers,sk4(sk1(sk3))))
| ~ greater_or_equal(sk4(sk1(sk3)),sk2(sk3))
| ~ spl0_39
| ~ spl0_42 ),
inference(forward_subsumption_resolution,[],[f975,f465]) ).
fof(f1171,plain,
( ! [X0,X1] :
( ~ greater(zero,growth_rate(X0,sk4(sk2(sk3))))
| ~ environment(X1)
| ~ subpopulations(X0,efficient_producers,X1,sk4(sk2(sk3)))
| outcompetes(efficient_producers,X0,sk4(sk2(sk3))) )
| ~ spl0_47 ),
inference(resolution,[],[f573,f41]) ).
fof(f1192,plain,
( ! [X0] :
( ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,sk4(sk2(sk3)))
| outcompetes(efficient_producers,first_movers,sk4(sk2(sk3))) )
| ~ spl0_24
| ~ spl0_47 ),
inference(resolution,[],[f1171,f367]) ).
fof(f1194,definition,
( spl0_74
<=> outcompetes(efficient_producers,first_movers,sk4(sk2(sk3))) ),
introduced(definition,[new_symbols(definition,[spl0_74])],[avatar_definition]) ).
fof(f1196,plain,
( outcompetes(efficient_producers,first_movers,sk4(sk2(sk3)))
| ~ spl0_74 ),
inference(avatar_component_clause,[],[f1194]) ).
fof(f1198,definition,
( spl0_75
<=> ! [X0] :
( ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,sk4(sk2(sk3))) ) ),
introduced(definition,[new_symbols(definition,[spl0_75])],[avatar_definition]) ).
fof(f1199,plain,
( ! [X0] :
( ~ subpopulations(first_movers,efficient_producers,X0,sk4(sk2(sk3)))
| ~ environment(X0) )
| ~ spl0_75 ),
inference(avatar_component_clause,[],[f1198]) ).
fof(f1200,plain,
( spl0_74
| spl0_75
| ~ spl0_24
| ~ spl0_47 ),
inference(avatar_split_clause,[],[f1192,f534,f365,f1198,f1194]) ).
fof(f1219,plain,
( ~ in_environment(sk3,sk2(sk3))
| ~ spl0_74 ),
inference(resolution,[],[f1196,f58]) ).
fof(f1220,plain,
( $false
| ~ spl0_23
| ~ spl0_74 ),
inference(forward_subsumption_resolution,[],[f1219,f352]) ).
fof(f1221,plain,
( ~ spl0_23
| ~ spl0_74 ),
inference(avatar_contradiction_clause,[],[f1220]) ).
fof(f1453,plain,
( ~ environment(sk3)
| ~ in_environment(sk3,sk2(sk3))
| ~ spl0_75 ),
inference(resolution,[],[f1199,f56]) ).
fof(f1455,plain,
( ~ in_environment(sk3,sk2(sk3))
| ~ spl0_75 ),
inference(forward_subsumption_resolution,[],[f1453,f54]) ).
fof(f1456,plain,
( $false
| ~ spl0_23
| ~ spl0_75 ),
inference(forward_subsumption_resolution,[],[f1455,f352]) ).
fof(f1457,plain,
( ~ spl0_23
| ~ spl0_75 ),
inference(avatar_contradiction_clause,[],[f1456]) ).
fof(f1478,plain,
( $false
| ~ spl0_26
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f574,f377]) ).
fof(f1479,plain,
( ~ spl0_26
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f1478]) ).
fof(f1486,plain,
( greater(zero,growth_rate(first_movers,sk4(sk2(sk3))))
| ~ greater_or_equal(sk4(sk2(sk3)),sk2(sk3))
| ~ in_environment(sk3,sk2(sk3))
| ~ spl0_26 ),
inference(resolution,[],[f377,f93]) ).
fof(f1490,plain,
( greater(zero,growth_rate(first_movers,sk4(sk2(sk3))))
| ~ in_environment(sk3,sk2(sk3))
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f1486,f57]) ).
fof(f1491,plain,
( ~ in_environment(sk3,sk2(sk3))
| spl0_24
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f1490,f366]) ).
fof(f1492,plain,
( $false
| ~ spl0_23
| spl0_24
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f1491,f352]) ).
fof(f1493,plain,
( ~ spl0_23
| spl0_24
| ~ spl0_26 ),
inference(avatar_contradiction_clause,[],[f1492]) ).
fof(f1507,plain,
( ~ greater(sk1(sk3),sk2(sk3))
| ~ spl0_45
| spl0_61 ),
inference(forward_demodulation,[],[f825,f513]) ).
fof(f1530,plain,
( $false
| ~ spl0_45
| ~ spl0_54
| spl0_61 ),
inference(forward_subsumption_resolution,[],[f1507,f618]) ).
fof(f1531,plain,
( ~ spl0_45
| ~ spl0_54
| spl0_61 ),
inference(avatar_contradiction_clause,[],[f1530]) ).
fof(f1549,plain,
( greater(zero,growth_rate(first_movers,sk4(sk1(sk3))))
| ~ spl0_39
| ~ spl0_42
| ~ spl0_61 ),
inference(forward_subsumption_resolution,[],[f998,f829]) ).
fof(f1554,plain,
( $false
| ~ spl0_39
| spl0_40
| ~ spl0_42
| ~ spl0_61 ),
inference(forward_subsumption_resolution,[],[f1549,f479]) ).
fof(f1555,plain,
( ~ spl0_39
| spl0_40
| ~ spl0_42
| ~ spl0_61 ),
inference(avatar_contradiction_clause,[],[f1554]) ).
fof(f1666,plain,
( greater(equilibrium(sk3),sk1(sk3))
| ~ spl0_38
| ~ spl0_45 ),
inference(superposition,[],[f462,f513]) ).
fof(f1667,plain,
( $false
| ~ spl0_38
| spl0_44
| ~ spl0_45 ),
inference(forward_subsumption_resolution,[],[f1666,f508]) ).
fof(f1668,plain,
( ~ spl0_38
| spl0_44
| ~ spl0_45 ),
inference(avatar_contradiction_clause,[],[f1667]) ).
cnf(s17,plain,
( spl0_15
| spl0_16
| spl0_17
| ~ spl0_18 ),
inference(sat_conversion,[],[f325]) ).
cnf(s18,plain,
( spl0_16
| spl0_17
| ~ spl0_18
| spl0_19 ),
inference(sat_conversion,[],[f330]) ).
cnf(s21,plain,
( spl0_15
| spl0_16
| ~ spl0_18
| spl0_21 ),
inference(sat_conversion,[],[f341]) ).
cnf(s22,plain,
( spl0_16
| ~ spl0_18
| spl0_19
| spl0_21 ),
inference(sat_conversion,[],[f342]) ).
cnf(s23,plain,
( spl0_15
| ~ spl0_18
| spl0_20
| spl0_21 ),
inference(sat_conversion,[],[f343]) ).
cnf(s25,plain,
( spl0_18
| spl0_22
| ~ spl0_23 ),
inference(sat_conversion,[],[f354]) ).
cnf(s26,plain,
spl0_23,
inference(sat_conversion,[],[f358]) ).
cnf(s27,plain,
( ~ spl0_19
| ~ spl0_23
| spl0_24
| spl0_25 ),
inference(sat_conversion,[],[f371]) ).
cnf(s28,plain,
( ~ spl0_16
| ~ spl0_23
| spl0_25
| spl0_26 ),
inference(sat_conversion,[],[f378]) ).
cnf(s29,plain,
( ~ spl0_21
| ~ spl0_23
| spl0_25
| spl0_27 ),
inference(sat_conversion,[],[f385]) ).
cnf(s30,plain,
( ~ spl0_22
| ~ spl0_23
| spl0_28
| spl0_29 ),
inference(sat_conversion,[],[f401]) ).
cnf(s31,plain,
( ~ spl0_17
| ~ spl0_23
| spl0_25
| spl0_30 ),
inference(sat_conversion,[],[f413]) ).
cnf(s32,plain,
( spl0_31
| spl0_32
| spl0_33
| ~ spl0_34 ),
inference(sat_conversion,[],[f438]) ).
cnf(s33,plain,
( spl0_32
| spl0_33
| ~ spl0_34
| spl0_35 ),
inference(sat_conversion,[],[f443]) ).
cnf(s36,plain,
( spl0_31
| spl0_32
| ~ spl0_34
| spl0_37 ),
inference(sat_conversion,[],[f454]) ).
cnf(s38,plain,
( spl0_31
| ~ spl0_34
| spl0_36
| spl0_37 ),
inference(sat_conversion,[],[f456]) ).
cnf(s40,plain,
( spl0_34
| spl0_38
| ~ spl0_39 ),
inference(sat_conversion,[],[f467]) ).
cnf(s41,plain,
spl0_39,
inference(sat_conversion,[],[f471]) ).
cnf(s42,plain,
( ~ spl0_35
| ~ spl0_39
| spl0_40
| spl0_41 ),
inference(sat_conversion,[],[f484]) ).
cnf(s43,plain,
( ~ spl0_32
| ~ spl0_39
| spl0_41
| spl0_42 ),
inference(sat_conversion,[],[f491]) ).
cnf(s44,plain,
( ~ spl0_37
| ~ spl0_39
| spl0_41
| spl0_43 ),
inference(sat_conversion,[],[f498]) ).
cnf(s45,plain,
( ~ spl0_38
| ~ spl0_39
| spl0_44
| spl0_45 ),
inference(sat_conversion,[],[f514]) ).
cnf(s46,plain,
( ~ spl0_33
| ~ spl0_39
| spl0_41
| spl0_46 ),
inference(sat_conversion,[],[f526]) ).
cnf(s47,plain,
( ~ spl0_20
| ~ spl0_23
| ~ spl0_24
| spl0_25 ),
inference(sat_conversion,[],[f530]) ).
cnf(s48,plain,
( ~ spl0_15
| ~ spl0_23
| spl0_25
| spl0_47 ),
inference(sat_conversion,[],[f537]) ).
cnf(s49,plain,
( ~ spl0_23
| ~ spl0_25 ),
inference(sat_conversion,[],[f541]) ).
cnf(s51,plain,
( ~ spl0_23
| ~ spl0_27
| ~ spl0_30 ),
inference(sat_conversion,[],[f561]) ).
cnf(s53,plain,
( ~ spl0_23
| ~ spl0_26
| ~ spl0_27 ),
inference(sat_conversion,[],[f564]) ).
cnf(s56,plain,
( ~ spl0_28
| spl0_53
| spl0_54 ),
inference(sat_conversion,[],[f619]) ).
cnf(s61,plain,
( ~ spl0_36
| ~ spl0_39
| ~ spl0_40
| spl0_41 ),
inference(sat_conversion,[],[f682]) ).
cnf(s62,plain,
( ~ spl0_22
| spl0_28
| ~ spl0_29 ),
inference(sat_conversion,[],[f745]) ).
cnf(s72,plain,
( ~ spl0_39
| ~ spl0_41 ),
inference(sat_conversion,[],[f784]) ).
cnf(s73,plain,
( ~ spl0_31
| ~ spl0_39
| spl0_41
| spl0_58 ),
inference(sat_conversion,[],[f798]) ).
cnf(s74,plain,
( ~ spl0_42
| ~ spl0_58 ),
inference(sat_conversion,[],[f802]) ).
cnf(s76,plain,
( ~ spl0_39
| spl0_45
| ~ spl0_54
| spl0_61 ),
inference(sat_conversion,[],[f827]) ).
cnf(s77,plain,
( ~ spl0_40
| ~ spl0_58
| spl0_62
| spl0_63 ),
inference(sat_conversion,[],[f844]) ).
cnf(s78,plain,
( ~ spl0_39
| ~ spl0_62 ),
inference(sat_conversion,[],[f847]) ).
cnf(s79,plain,
( ~ spl0_39
| ~ spl0_63 ),
inference(sat_conversion,[],[f851]) ).
cnf(s80,plain,
~ spl0_44,
inference(sat_conversion,[],[f862]) ).
cnf(s82,plain,
( ~ spl0_46
| ~ spl0_58 ),
inference(sat_conversion,[],[f886]) ).
cnf(s84,plain,
( ~ spl0_39
| ~ spl0_43
| spl0_58
| ~ spl0_61 ),
inference(sat_conversion,[],[f903]) ).
cnf(s85,plain,
( ~ spl0_39
| ~ spl0_42
| ~ spl0_43
| ~ spl0_61 ),
inference(sat_conversion,[],[f905]) ).
cnf(s86,plain,
( ~ spl0_28
| ~ spl0_53
| spl0_54 ),
inference(sat_conversion,[],[f912]) ).
cnf(s117,plain,
( ~ spl0_24
| ~ spl0_47
| spl0_74
| spl0_75 ),
inference(sat_conversion,[],[f1200]) ).
cnf(s119,plain,
( ~ spl0_23
| ~ spl0_74 ),
inference(sat_conversion,[],[f1221]) ).
cnf(s139,plain,
( ~ spl0_23
| ~ spl0_75 ),
inference(sat_conversion,[],[f1457]) ).
cnf(s143,plain,
( ~ spl0_26
| ~ spl0_47 ),
inference(sat_conversion,[],[f1479]) ).
cnf(s144,plain,
( ~ spl0_23
| spl0_24
| ~ spl0_26 ),
inference(sat_conversion,[],[f1493]) ).
cnf(s154,plain,
( ~ spl0_45
| ~ spl0_54
| spl0_61 ),
inference(sat_conversion,[],[f1531]) ).
cnf(s160,plain,
( ~ spl0_39
| spl0_40
| ~ spl0_42
| ~ spl0_61 ),
inference(sat_conversion,[],[f1555]) ).
cnf(s167,plain,
( ~ spl0_38
| spl0_44
| ~ spl0_45 ),
inference(sat_conversion,[],[f1668]) ).
cnf(s168,plain,
( ~ spl0_38
| ~ spl0_39
| spl0_45 ),
inference(rat,[],[s45,s80]) ).
cnf(s169,plain,
~ spl0_63,
inference(rat,[],[s79,s41]) ).
cnf(s170,plain,
~ spl0_62,
inference(rat,[],[s78,s41]) ).
cnf(s171,plain,
~ spl0_41,
inference(rat,[],[s72,s41]) ).
cnf(s172,plain,
( spl0_34
| spl0_38 ),
inference(rat,[],[s40,s41]) ).
cnf(s173,plain,
~ spl0_75,
inference(rat,[],[s139,s26]) ).
cnf(s174,plain,
~ spl0_74,
inference(rat,[],[s119,s26]) ).
cnf(s175,plain,
~ spl0_25,
inference(rat,[],[s49,s26]) ).
cnf(s176,plain,
( spl0_18
| spl0_22 ),
inference(rat,[],[s25,s26]) ).
cnf(s178,plain,
~ spl0_38,
inference(rat,[],[s168,s167,s41,s80]) ).
cnf(s179,plain,
spl0_34,
inference(rat,[],[s172,s178]) ).
cnf(s180,plain,
( spl0_54
| ~ spl0_28 ),
inference(rat,[],[s56,s86]) ).
cnf(s181,plain,
( ~ spl0_54
| spl0_61 ),
inference(rat,[],[s76,s154,s41]) ).
cnf(s182,plain,
( spl0_32
| spl0_31
| ~ spl0_61 ),
inference(rat,[],[s84,s82,s44,s46,s36,s32,s41,s171,s179]) ).
cnf(s183,plain,
( spl0_31
| ~ spl0_61 ),
inference(rat,[],[s38,s61,s44,s160,s85,s43,s182,s171,s41,s179]) ).
cnf(s184,plain,
~ spl0_58,
inference(rat,[],[s33,s43,s42,s46,s74,s77,s82,s179,s171,s41,s170,s169]) ).
cnf(s185,plain,
~ spl0_31,
inference(rat,[],[s73,s171,s41,s184]) ).
cnf(s186,plain,
~ spl0_61,
inference(rat,[],[s183,s185]) ).
cnf(s187,plain,
~ spl0_54,
inference(rat,[],[s181,s186]) ).
cnf(s188,plain,
~ spl0_28,
inference(rat,[],[s180,s187]) ).
cnf(s189,plain,
( ~ spl0_18
| spl0_16
| spl0_15 ),
inference(rat,[],[s51,s31,s29,s17,s21,s175,s26]) ).
cnf(s190,plain,
( ~ spl0_18
| spl0_15 ),
inference(rat,[],[s23,s47,s29,s144,s53,s28,s189,s175,s26]) ).
cnf(s191,plain,
( spl0_19
| spl0_16
| ~ spl0_18 ),
inference(rat,[],[s51,s29,s31,s22,s18,s175,s26]) ).
cnf(s192,plain,
~ spl0_18,
inference(rat,[],[s191,s27,s28,s117,s143,s48,s190,s26,s175,s174,s173]) ).
cnf(s193,plain,
spl0_22,
inference(rat,[],[s176,s192]) ).
cnf(s196,plain,
spl0_29,
inference(rat,[],[s30,s188,s26,s193]) ).
cnf(s197,plain,
$false,
inference(rat,[],[s62,s188,s193,s196]) ).
fof(f1670,plain,
$false,
inference(avatar_sat_refutation,[],[s197]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT035-2 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.36 % Computer : n017.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sun Sep 27 17:17:05 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.40 Running first-order theorem proving
% 0.11/0.40 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.73/2.06 % (2819505)Input is clausal, will run a generic CNF schedule.
% 7.73/2.06 % (2819513)lrs+10_1_sil=8000:sp=occurrence:random_seed=581348946:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 7.73/2.06 % (2819513)Instruction limit reached!
% 7.73/2.06 % (2819513)------------------------------
% 7.73/2.06 % (2819513)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.73/2.06 % (2819513)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.73/2.06 % (2819513)CaDiCaL version: 2.1.3
% 7.73/2.06 % (2819513)Termination reason: Instruction limit
% 7.73/2.06 % (2819513)Termination phase: Saturation
% 7.73/2.06 % (2819513)Time elapsed: 0.036 s
% 7.73/2.06 % (2819513)Peak memory usage: 89 MB
% 7.73/2.06 % (2819513)Instructions burned: 111 (million)
% 7.73/2.06 % (2819516)dis-21_1_sil=8000:lcm=predicate:random_seed=997816086:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 7.73/2.06 % (2819515)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1632240168:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 7.73/2.06 % (2819510)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1990911735:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 7.73/2.06 % (2819511)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=4129683509:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 7.73/2.06 % (2819512)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=4161886850:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 7.73/2.06 % (2819514)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1141500975:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 7.73/2.06 % (2819516)Instruction limit reached!
% 7.73/2.06 % (2819516)------------------------------
% 7.73/2.06 % (2819516)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.73/2.06 % (2819516)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.73/2.06 % (2819516)CaDiCaL version: 2.1.3
% 7.73/2.06 % (2819516)Termination reason: Instruction limit
% 7.73/2.06 % (2819516)Termination phase: Saturation
% 7.73/2.06 % (2819516)Time elapsed: 0.044 s
% 7.73/2.06 % (2819516)Peak memory usage: 88 MB
% 7.73/2.06 % (2819516)Instructions burned: 118 (million)
% 7.73/2.06 % (2819514)Instruction limit reached!
% 7.73/2.06 % (2819514)------------------------------
% 7.73/2.06 % (2819514)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.73/2.06 % (2819514)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.73/2.06 % (2819514)CaDiCaL version: 2.1.3
% 7.73/2.06 % (2819514)Termination reason: Instruction limit
% 7.73/2.06 % (2819514)Termination phase: Saturation
% 7.73/2.06 % (2819514)Time elapsed: 0.065 s
% 7.73/2.06 % (2819514)Peak memory usage: 88 MB
% 7.73/2.06 % (2819514)Instructions burned: 114 (million)
% 7.73/2.06 % (2819524)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=4058880689:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 7.73/2.06 % (2819515)Instruction limit reached!
% 7.73/2.06 % (2819515)------------------------------
% 7.73/2.06 % (2819515)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.73/2.06 % (2819515)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.73/2.06 % (2819515)CaDiCaL version: 2.1.3
% 7.73/2.06 % (2819515)Termination reason: Instruction limit
% 7.73/2.06 % (2819515)Termination phase: Saturation
% 7.73/2.06 % (2819515)Time elapsed: 0.120 s
% 7.73/2.06 % (2819515)Peak memory usage: 89 MB
% 7.73/2.06 % (2819515)Instructions burned: 180 (million)
% 7.73/2.06 % (2819524)Instruction limit reached!
% 7.73/2.06 % (2819524)------------------------------
% 7.73/2.06 % (2819524)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.73/2.06 % (2819524)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.73/2.06 % (2819524)CaDiCaL version: 2.1.3
% 7.73/2.06 % (2819524)Termination reason: Instruction limit
% 7.73/2.06 % (2819524)Termination phase: Saturation
% 7.73/2.06 % (2819524)Time elapsed: 0.047 s
% 7.73/2.06 % (2819524)Peak memory usage: 89 MB
% 7.73/2.06 % (2819524)Instructions burned: 145 (million)
% 7.73/2.06 % (2819525)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2992723395:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 7.73/2.06 % (2819526)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3777801156:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 7.73/2.06 % (2819528)lrs+10_64_to=lpo:sil=8000:random_seed=3771469450:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 7.73/2.06 % (2819529)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3951205495:avsq=on:i=194:fgj=on:bd=preordered_2996 on theBenchmark for (2996ds/194Mi)
% 7.73/2.06 % (2819525)Instruction limit reached!
% 7.73/2.06 % (2819525)------------------------------
% 7.73/2.06 % (2819525)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.73/2.06 % (2819525)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.73/2.06 % (2819525)CaDiCaL version: 2.1.3
% 7.73/2.06 % (2819525)Termination reason: Instruction limit
% 7.73/2.06 % (2819525)Termination phase: Saturation
% 7.73/2.06 % (2819525)Time elapsed: 0.102 s
% 7.73/2.06 % (2819525)Peak memory usage: 89 MB
% 7.73/2.06 % (2819525)Instructions burned: 191 (million)
% 7.73/2.06 % (2819526)Instruction limit reached!
% 7.73/2.06 % (2819526)------------------------------
% 7.73/2.06 % (2819526)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.73/2.06 % (2819526)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.73/2.06 % (2819526)CaDiCaL version: 2.1.3
% 7.73/2.06 % (2819526)Termination reason: Instruction limit
% 7.73/2.06 % (2819526)Termination phase: Saturation
% 7.73/2.06 % (2819526)Time elapsed: 0.111 s
% 7.73/2.06 % (2819526)Peak memory usage: 88 MB
% 7.73/2.06 % (2819526)Instructions burned: 220 (million)
% 7.73/2.06 % (2819529)Instruction limit reached!
% 7.73/2.06 % (2819529)------------------------------
% 7.73/2.06 % (2819529)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.73/2.06 % (2819529)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.73/2.06 % (2819529)CaDiCaL version: 2.1.3
% 7.73/2.06 % (2819529)Termination reason: Instruction limit
% 7.73/2.06 % (2819529)Termination phase: Saturation
% 7.73/2.06 % (2819529)Time elapsed: 0.050 s
% 7.73/2.06 % (2819529)Peak memory usage: 89 MB
% 7.73/2.06 % (2819529)Instructions burned: 198 (million)
% 7.73/2.06 % (2819528)Instruction limit reached!
% 7.73/2.06 % (2819528)------------------------------
% 7.73/2.06 % (2819528)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.73/2.06 % (2819528)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.73/2.06 % (2819528)CaDiCaL version: 2.1.3
% 7.73/2.06 % (2819528)Termination reason: Instruction limit
% 7.73/2.06 % (2819528)Termination phase: Saturation
% 7.73/2.06 % (2819528)Time elapsed: 0.071 s
% 7.73/2.06 % (2819528)Peak memory usage: 89 MB
% 7.73/2.06 % (2819528)Instructions burned: 126 (million)
% 7.73/2.06 % (2819534)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=874804809:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 7.73/2.06 % (2819536)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=2150101833:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 7.73/2.06 % (2819535)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1721418887:i=3394:sd=4:ss=included:sgt=64_2995 on theBenchmark for (2995ds/3394Mi)
% 7.73/2.06 % (2819536)Instruction limit reached!
% 7.73/2.06 % (2819536)------------------------------
% 7.73/2.06 % (2819536)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.73/2.06 % (2819536)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.73/2.06 % (2819536)CaDiCaL version: 2.1.3
% 7.73/2.06 % (2819536)Termination reason: Instruction limit
% 7.73/2.06 % (2819536)Termination phase: Saturation
% 7.73/2.06 % (2819536)Time elapsed: 0.032 s
% 7.73/2.06 % (2819536)Peak memory usage: 89 MB
% 7.73/2.06 % (2819536)Instructions burned: 107 (million)
% 7.73/2.06 % (2819537)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=2052326287:i=107_2994 on theBenchmark for (2994ds/107Mi)
% 7.73/2.06 % (2819534)Instruction limit reached!
% 7.73/2.06 % (2819534)------------------------------
% 7.73/2.06 % (2819534)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.73/2.06 % (2819534)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.73/2.06 % (2819534)CaDiCaL version: 2.1.3
% 7.73/2.06 % (2819534)Termination reason: Instruction limit
% 7.73/2.06 % (2819534)Termination phase: Saturation
% 7.73/2.06 % (2819534)Time elapsed: 0.095 s
% 7.73/2.06 % (2819534)Peak memory usage: 90 MB
% 7.73/2.06 % (2819534)Instructions burned: 159 (million)
% 7.73/2.06 % (2819537)Instruction limit reached!
% 7.73/2.06 % (2819537)------------------------------
% 7.73/2.06 % (2819537)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.73/2.06 % (2819537)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.73/2.06 % (2819537)CaDiCaL version: 2.1.3
% 7.73/2.06 % (2819537)Termination reason: Instruction limit
% 7.73/2.06 % (2819537)Termination phase: Saturation
% 7.73/2.06 % (2819537)Time elapsed: 0.055 s
% 7.73/2.06 % (2819537)Peak memory usage: 89 MB
% 7.73/2.06 % (2819537)Instructions burned: 109 (million)
% 7.73/2.06 % (2819541)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=350576590:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2993 on theBenchmark for (2993ds/242Mi)
% 7.73/2.06 % (2819541)Instruction limit reached!
% 7.73/2.06 % (2819541)------------------------------
% 7.73/2.06 % (2819541)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.73/2.06 % (2819541)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.73/2.06 % (2819541)CaDiCaL version: 2.1.3
% 7.73/2.06 % (2819541)Termination reason: Instruction limit
% 7.73/2.06 % (2819541)Termination phase: Saturation
% 7.73/2.06 % (2819541)Time elapsed: 0.080 s
% 7.73/2.06 % (2819541)Peak memory usage: 89 MB
% 7.73/2.06 % (2819541)Instructions burned: 244 (million)
% 7.73/2.06 % (2819544)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=636921046:i=134:sd=2:doe=on:ss=axioms:sgt=14_2992 on theBenchmark for (2992ds/134Mi)
% 7.73/2.06 % (2819543)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=2083743278:cond=fast:i=5208:av=off_2992 on theBenchmark for (2992ds/5208Mi)
% 7.73/2.06 % (2819510)First to succeed.
% 7.73/2.06 % (2819510)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2819505"
% 7.73/2.06 % (2819544)Instruction limit reached!
% 7.73/2.06 % (2819544)------------------------------
% 7.73/2.06 % (2819544)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.73/2.06 % (2819544)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.73/2.06 % (2819544)CaDiCaL version: 2.1.3
% 7.73/2.06 % (2819544)Termination reason: Instruction limit
% 7.73/2.06 % (2819544)Termination phase: Saturation
% 7.73/2.06 % (2819544)Time elapsed: 0.083 s
% 7.73/2.06 % (2819544)Peak memory usage: 89 MB
% 7.73/2.06 % (2819544)Instructions burned: 134 (million)
% 7.73/2.06 % (2819546)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=2045222239:i=499:bd=all_2991 on theBenchmark for (2991ds/499Mi)
% 7.73/2.06 % (2819549)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=3330799828:i=191:fgj=on:bd=all_2990 on theBenchmark for (2990ds/191Mi)
% 7.73/2.06 % (2819546)Instruction limit reached!
% 7.73/2.06 % (2819546)------------------------------
% 7.73/2.06 % (2819546)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.73/2.06 % (2819546)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.73/2.06 % (2819546)CaDiCaL version: 2.1.3
% 7.73/2.06 % (2819546)Termination reason: Instruction limit
% 7.73/2.06 % (2819546)Termination phase: Saturation
% 7.73/2.06 % (2819546)Time elapsed: 0.153 s
% 7.73/2.06 % (2819546)Peak memory usage: 92 MB
% 7.73/2.06 % (2819546)Instructions burned: 500 (million)
% 7.73/2.06 % (2819510)Refutation found. Thanks to Tanya!
% 7.73/2.06 % SZS status Unsatisfiable for theBenchmark
% 7.73/2.06 % SZS output start Proof for theBenchmark
% See solution above
% 9.17/2.27 % (2819510)------------------------------
% 9.17/2.27 % (2819510)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.17/2.27 % (2819510)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.17/2.27 % (2819510)CaDiCaL version: 2.1.3
% 9.17/2.27 % (2819510)Termination reason: Refutation
% 9.17/2.27 % (2819510)Time elapsed: 0.773 s
% 9.17/2.27 % (2819510)Peak memory usage: 129 MB
% 9.17/2.27 % (2819510)Instructions burned: 1127 (million)
% 9.17/2.27 % (2819510)------------------------------
% 9.17/2.27 % (2819510)------------------------------
% 9.17/2.27 % (2819505)Success in time 1.219 s
% 9.17/2.27 % Vampire exiting
%------------------------------------------------------------------------------