%------------------------------------------------------------------------------
% File : iProver-SAT---3.9.4
% Problem : MGT034+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p SAT
% Computer : n020.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 : Fri Sep 25 02:13:12 PM UTC 2026
% Result : CounterSatisfiable 3.59s 1.35s
% Output : Saturation 3.59s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2,X3] :
( ( greater(growth_rate(X2,X3),growth_rate(X1,X3))
& subpopulations(X1,X2,X0,X3)
& environment(X0) )
=> selection_favors(X2,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp1_high_growth_rates) ).
fof(f2,axiom,
! [X0,X1] :
( ( subpopulations(first_movers,efficient_producers,X0,X1)
& environment(X0) )
=> ~ decreases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l3) ).
fof(f3,axiom,
! [X0] :
( ( in_environment(X0,critical_point(X0))
& environment(X0) )
=> subpopulations(first_movers,efficient_producers,X0,critical_point(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_critical_point_means_FM_and_EP) ).
fof(f4,axiom,
! [X0] :
( ( in_environment(X0,appear(efficient_producers,X0))
& environment(X0) )
=> subpopulations(first_movers,efficient_producers,X0,appear(efficient_producers,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_FM_and_EP_when_EP_appears) ).
fof(f5,axiom,
! [X0,X1,X2] :
( ( greater(X2,X1)
& greater_or_equal(X1,appear(efficient_producers,X0))
& greater_or_equal(difference(growth_rate(first_movers,X2),growth_rate(efficient_producers,X2)),zero)
& in_environment(X0,X2)
& environment(X0) )
=> ( decreases(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)))
=> greater(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)),zero) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_decreasing_function) ).
fof(f6,axiom,
! [X0] :
( ( ~ decreases(difference(disbanding_rate(first_movers,X0),disbanding_rate(efficient_producers,X0)))
& decreases(difference(founding_rate(first_movers,X0),founding_rate(efficient_producers,X0))) )
=> decreases(difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_difference_between_founding_rates) ).
fof(f7,axiom,
! [X0] :
( greater(zero,difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)))
<=> greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_negative_growth_rate_difference) ).
fof(f8,axiom,
! [X0] :
( greater(difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)),zero)
<=> greater(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_positive_growth_rate_difference) ).
fof(f9,axiom,
! [X0,X1,X2,X3] :
( ( greater_or_equal(X3,X1)
& greater_or_equal(X2,X3)
& in_environment(X0,X2)
& in_environment(X0,X1)
& environment(X0) )
=> in_environment(X0,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_durations_are_time_intervals) ).
fof(f10,axiom,
! [X0] :
( environment(X0)
=> in_environment(X0,start_time(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_opening_time_in_duration) ).
fof(f11,axiom,
! [X0] :
( environment(X0)
=> greater_or_equal(appear(first_movers,X0),start_time(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_no_FM_before_opening) ).
fof(f12,axiom,
! [X0,X1] :
( ( subpopulations(first_movers,efficient_producers,X0,X1)
& environment(X0) )
=> subpopulations(efficient_producers,first_movers,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_symmetry_of_FM_and_EP) ).
fof(f13,axiom,
! [X0,X1] :
( ( subpopulations(first_movers,efficient_producers,X0,X1)
& environment(X0) )
=> greater_or_equal(X1,appear(efficient_producers,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_FM_and_EP_members_EP_appeared) ).
fof(f14,axiom,
! [X0,X1] :
( greater_or_equal(X0,X1)
<=> ( X0 = X1
| greater(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_greater_or_equal) ).
fof(f15,axiom,
! [X0,X1] :
( ( ~ greater(zero,difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)))
& subpopulations(first_movers,efficient_producers,X0,X1)
& environment(X0) )
=> greater_or_equal(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)),zero) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_relationship_of_growth_rates) ).
fof(f16,axiom,
! [X0,X1,X2,X3] :
( ( greater_or_equal(X2,X3)
& greater_or_equal(X3,X1)
& subpopulations(first_movers,efficient_producers,X0,X2)
& subpopulations(first_movers,efficient_producers,X0,X1)
& environment(X0) )
=> subpopulations(first_movers,efficient_producers,X0,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a10) ).
fof(f17,axiom,
! [X0,X1] :
( ( X1 = critical_point(X0)
& environment(X0) )
=> ( ! [X2] :
( ( greater(X2,X1)
& subpopulations(first_movers,efficient_producers,X0,X2) )
=> greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2)) )
& ~ greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1) ).
fof(f18,axiom,
! [X0,X1] :
( ( subpopulations(first_movers,efficient_producers,X0,X1)
& environment(X0) )
=> decreases(difference(founding_rate(first_movers,X1),founding_rate(efficient_producers,X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a11) ).
fof(f19,conjecture,
! [X0,X1] :
( ( greater(critical_point(X0),X1)
& greater_or_equal(X1,appear(efficient_producers,X0))
& in_environment(X0,critical_point(X0))
& environment(X0) )
=> selection_favors(first_movers,efficient_producers,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t3) ).
fof(f20,negated_conjecture,
~ ! [X0,X1] :
( ( greater(critical_point(X0),X1)
& greater_or_equal(X1,appear(efficient_producers,X0))
& in_environment(X0,critical_point(X0))
& environment(X0) )
=> selection_favors(first_movers,efficient_producers,X1) ),
inference(negated_conjecture,[status(cth)],[f19]) ).
fof(f21,plain,
! [X0,X1,X2,X3] :
( ~ greater(growth_rate(X2,X3),growth_rate(X1,X3))
| ~ subpopulations(X1,X2,X0,X3)
| ~ environment(X0)
| selection_favors(X2,X1,X3) ),
inference(ennf_transformation,[],[f1]) ).
fof(f22,plain,
! [X0,X1,X2,X3] :
( ~ greater(growth_rate(X2,X3),growth_rate(X1,X3))
| ~ subpopulations(X1,X2,X0,X3)
| ~ environment(X0)
| selection_favors(X2,X1,X3) ),
inference(flattening,[],[f21]) ).
fof(f23,plain,
! [X0,X1] :
( ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0)
| ~ decreases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1))) ),
inference(ennf_transformation,[],[f2]) ).
fof(f24,plain,
! [X0,X1] :
( ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0)
| ~ decreases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1))) ),
inference(flattening,[],[f23]) ).
fof(f25,plain,
! [X0] :
( ~ in_environment(X0,critical_point(X0))
| ~ environment(X0)
| subpopulations(first_movers,efficient_producers,X0,critical_point(X0)) ),
inference(ennf_transformation,[],[f3]) ).
fof(f26,plain,
! [X0] :
( ~ in_environment(X0,critical_point(X0))
| ~ environment(X0)
| subpopulations(first_movers,efficient_producers,X0,critical_point(X0)) ),
inference(flattening,[],[f25]) ).
fof(f27,plain,
! [X0] :
( ~ in_environment(X0,appear(efficient_producers,X0))
| ~ environment(X0)
| subpopulations(first_movers,efficient_producers,X0,appear(efficient_producers,X0)) ),
inference(ennf_transformation,[],[f4]) ).
fof(f28,plain,
! [X0] :
( ~ in_environment(X0,appear(efficient_producers,X0))
| ~ environment(X0)
| subpopulations(first_movers,efficient_producers,X0,appear(efficient_producers,X0)) ),
inference(flattening,[],[f27]) ).
fof(f29,plain,
! [X0,X1,X2] :
( ~ greater(X2,X1)
| ~ greater_or_equal(X1,appear(efficient_producers,X0))
| ~ greater_or_equal(difference(growth_rate(first_movers,X2),growth_rate(efficient_producers,X2)),zero)
| ~ in_environment(X0,X2)
| ~ environment(X0)
| ~ decreases(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)))
| greater(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)),zero) ),
inference(ennf_transformation,[],[f5]) ).
fof(f30,plain,
! [X0,X1,X2] :
( ~ greater(X2,X1)
| ~ greater_or_equal(X1,appear(efficient_producers,X0))
| ~ greater_or_equal(difference(growth_rate(first_movers,X2),growth_rate(efficient_producers,X2)),zero)
| ~ in_environment(X0,X2)
| ~ environment(X0)
| ~ decreases(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)))
| greater(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)),zero) ),
inference(flattening,[],[f29]) ).
fof(f31,plain,
! [X0] :
( decreases(difference(disbanding_rate(first_movers,X0),disbanding_rate(efficient_producers,X0)))
| ~ decreases(difference(founding_rate(first_movers,X0),founding_rate(efficient_producers,X0)))
| decreases(difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0))) ),
inference(ennf_transformation,[],[f6]) ).
fof(f32,plain,
! [X0] :
( decreases(difference(disbanding_rate(first_movers,X0),disbanding_rate(efficient_producers,X0)))
| ~ decreases(difference(founding_rate(first_movers,X0),founding_rate(efficient_producers,X0)))
| decreases(difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0))) ),
inference(flattening,[],[f31]) ).
fof(f33,plain,
! [X0,X1,X2,X3] :
( ~ greater_or_equal(X3,X1)
| ~ greater_or_equal(X2,X3)
| ~ in_environment(X0,X2)
| ~ in_environment(X0,X1)
| ~ environment(X0)
| in_environment(X0,X3) ),
inference(ennf_transformation,[],[f9]) ).
fof(f34,plain,
! [X0,X1,X2,X3] :
( ~ greater_or_equal(X3,X1)
| ~ greater_or_equal(X2,X3)
| ~ in_environment(X0,X2)
| ~ in_environment(X0,X1)
| ~ environment(X0)
| in_environment(X0,X3) ),
inference(flattening,[],[f33]) ).
fof(f35,plain,
! [X0] :
( ~ environment(X0)
| in_environment(X0,start_time(X0)) ),
inference(ennf_transformation,[],[f10]) ).
fof(f36,plain,
! [X0] :
( ~ environment(X0)
| greater_or_equal(appear(first_movers,X0),start_time(X0)) ),
inference(ennf_transformation,[],[f11]) ).
fof(f37,plain,
! [X0,X1] :
( ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0)
| subpopulations(efficient_producers,first_movers,X0,X1) ),
inference(ennf_transformation,[],[f12]) ).
fof(f38,plain,
! [X0,X1] :
( ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0)
| subpopulations(efficient_producers,first_movers,X0,X1) ),
inference(flattening,[],[f37]) ).
fof(f39,plain,
! [X0,X1] :
( ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0)
| greater_or_equal(X1,appear(efficient_producers,X0)) ),
inference(ennf_transformation,[],[f13]) ).
fof(f40,plain,
! [X0,X1] :
( ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0)
| greater_or_equal(X1,appear(efficient_producers,X0)) ),
inference(flattening,[],[f39]) ).
fof(f41,plain,
! [X0,X1] :
( greater(zero,difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)))
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0)
| greater_or_equal(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)),zero) ),
inference(ennf_transformation,[],[f15]) ).
fof(f42,plain,
! [X0,X1] :
( greater(zero,difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)))
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0)
| greater_or_equal(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)),zero) ),
inference(flattening,[],[f41]) ).
fof(f43,plain,
! [X0,X1,X2,X3] :
( ~ greater_or_equal(X2,X3)
| ~ greater_or_equal(X3,X1)
| ~ subpopulations(first_movers,efficient_producers,X0,X2)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0)
| subpopulations(first_movers,efficient_producers,X0,X3) ),
inference(ennf_transformation,[],[f16]) ).
fof(f44,plain,
! [X0,X1,X2,X3] :
( ~ greater_or_equal(X2,X3)
| ~ greater_or_equal(X3,X1)
| ~ subpopulations(first_movers,efficient_producers,X0,X2)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0)
| subpopulations(first_movers,efficient_producers,X0,X3) ),
inference(flattening,[],[f43]) ).
fof(f45,plain,
! [X0,X1] :
( critical_point(X0) != X1
| ~ environment(X0)
| ( ! [X2] :
( ~ greater(X2,X1)
| ~ subpopulations(first_movers,efficient_producers,X0,X2)
| greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2)) )
& ~ greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1)) ) ),
inference(ennf_transformation,[],[f17]) ).
fof(f46,plain,
! [X0,X1] :
( critical_point(X0) != X1
| ~ environment(X0)
| ( ! [X2] :
( ~ greater(X2,X1)
| ~ subpopulations(first_movers,efficient_producers,X0,X2)
| greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2)) )
& ~ greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1)) ) ),
inference(flattening,[],[f45]) ).
fof(f47,plain,
! [X0,X1] :
( ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0)
| decreases(difference(founding_rate(first_movers,X1),founding_rate(efficient_producers,X1))) ),
inference(ennf_transformation,[],[f18]) ).
fof(f48,plain,
! [X0,X1] :
( ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0)
| decreases(difference(founding_rate(first_movers,X1),founding_rate(efficient_producers,X1))) ),
inference(flattening,[],[f47]) ).
fof(f49,plain,
? [X0,X1] :
( greater(critical_point(X0),X1)
& greater_or_equal(X1,appear(efficient_producers,X0))
& in_environment(X0,critical_point(X0))
& environment(X0)
& ~ selection_favors(first_movers,efficient_producers,X1) ),
inference(ennf_transformation,[],[f20]) ).
fof(f50,plain,
? [X0,X1] :
( greater(critical_point(X0),X1)
& greater_or_equal(X1,appear(efficient_producers,X0))
& in_environment(X0,critical_point(X0))
& environment(X0)
& ~ selection_favors(first_movers,efficient_producers,X1) ),
inference(flattening,[],[f49]) ).
fof(f51,plain,
! [X0] :
( ( ~ greater(zero,difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)))
| greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0)) )
& ( ~ greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0))
| greater(zero,difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0))) ) ),
inference(nnf_transformation,[],[f7]) ).
fof(f52,plain,
! [X0] :
( ( ~ greater(difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)),zero)
| greater(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)) )
& ( ~ greater(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0))
| greater(difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)),zero) ) ),
inference(nnf_transformation,[],[f8]) ).
fof(f53,plain,
! [X0,X1] :
( ( ~ greater_or_equal(X0,X1)
| X0 = X1
| greater(X0,X1) )
& ( ( X0 != X1
& ~ greater(X0,X1) )
| greater_or_equal(X0,X1) ) ),
inference(nnf_transformation,[],[f14]) ).
fof(f54,plain,
! [X0,X1] :
( ( ~ greater_or_equal(X0,X1)
| X0 = X1
| greater(X0,X1) )
& ( ( X0 != X1
& ~ greater(X0,X1) )
| greater_or_equal(X0,X1) ) ),
inference(flattening,[],[f53]) ).
fof(f55,plain,
( greater(critical_point(sK0),sK1)
& greater_or_equal(sK1,appear(efficient_producers,sK0))
& in_environment(sK0,critical_point(sK0))
& environment(sK0)
& ~ selection_favors(first_movers,efficient_producers,sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f50]) ).
fof(f56,plain,
! [X2,X3,X0,X1] :
( ~ greater(growth_rate(X2,X3),growth_rate(X1,X3))
| ~ subpopulations(X1,X2,X0,X3)
| ~ environment(X0)
| selection_favors(X2,X1,X3) ),
inference(cnf_transformation,[],[f22]) ).
fof(f57,plain,
! [X0,X1] :
( ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0)
| ~ decreases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1))) ),
inference(cnf_transformation,[],[f24]) ).
fof(f58,plain,
! [X0] :
( ~ in_environment(X0,critical_point(X0))
| ~ environment(X0)
| subpopulations(first_movers,efficient_producers,X0,critical_point(X0)) ),
inference(cnf_transformation,[],[f26]) ).
fof(f59,plain,
! [X0] :
( ~ in_environment(X0,appear(efficient_producers,X0))
| ~ environment(X0)
| subpopulations(first_movers,efficient_producers,X0,appear(efficient_producers,X0)) ),
inference(cnf_transformation,[],[f28]) ).
fof(f60,plain,
! [X2,X0,X1] :
( ~ greater(X2,X1)
| ~ greater_or_equal(X1,appear(efficient_producers,X0))
| ~ greater_or_equal(difference(growth_rate(first_movers,X2),growth_rate(efficient_producers,X2)),zero)
| ~ in_environment(X0,X2)
| ~ environment(X0)
| ~ decreases(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)))
| greater(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)),zero) ),
inference(cnf_transformation,[],[f30]) ).
fof(f61,plain,
! [X0] :
( decreases(difference(disbanding_rate(first_movers,X0),disbanding_rate(efficient_producers,X0)))
| ~ decreases(difference(founding_rate(first_movers,X0),founding_rate(efficient_producers,X0)))
| decreases(difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0))) ),
inference(cnf_transformation,[],[f32]) ).
fof(f62,plain,
! [X0] :
( ~ greater(zero,difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)))
| greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0)) ),
inference(cnf_transformation,[],[f51]) ).
fof(f63,plain,
! [X0] :
( ~ greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0))
| greater(zero,difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0))) ),
inference(cnf_transformation,[],[f51]) ).
fof(f64,plain,
! [X0] :
( ~ greater(difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)),zero)
| greater(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)) ),
inference(cnf_transformation,[],[f52]) ).
fof(f65,plain,
! [X0] :
( ~ greater(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0))
| greater(difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)),zero) ),
inference(cnf_transformation,[],[f52]) ).
fof(f66,plain,
! [X2,X3,X0,X1] :
( ~ greater_or_equal(X3,X1)
| ~ greater_or_equal(X2,X3)
| ~ in_environment(X0,X2)
| ~ in_environment(X0,X1)
| ~ environment(X0)
| in_environment(X0,X3) ),
inference(cnf_transformation,[],[f34]) ).
fof(f67,plain,
! [X0] :
( ~ environment(X0)
| in_environment(X0,start_time(X0)) ),
inference(cnf_transformation,[],[f35]) ).
fof(f68,plain,
! [X0] :
( ~ environment(X0)
| greater_or_equal(appear(first_movers,X0),start_time(X0)) ),
inference(cnf_transformation,[],[f36]) ).
fof(f69,plain,
! [X0,X1] :
( ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0)
| subpopulations(efficient_producers,first_movers,X0,X1) ),
inference(cnf_transformation,[],[f38]) ).
fof(f70,plain,
! [X0,X1] :
( ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0)
| greater_or_equal(X1,appear(efficient_producers,X0)) ),
inference(cnf_transformation,[],[f40]) ).
fof(f71,plain,
! [X0,X1] :
( ~ greater_or_equal(X0,X1)
| X0 = X1
| greater(X0,X1) ),
inference(cnf_transformation,[],[f54]) ).
fof(f72,plain,
! [X0,X1] :
( X0 != X1
| greater_or_equal(X0,X1) ),
inference(cnf_transformation,[],[f54]) ).
fof(f73,plain,
! [X0,X1] :
( ~ greater(X0,X1)
| greater_or_equal(X0,X1) ),
inference(cnf_transformation,[],[f54]) ).
fof(f74,plain,
! [X0,X1] :
( greater(zero,difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)))
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0)
| greater_or_equal(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)),zero) ),
inference(cnf_transformation,[],[f42]) ).
fof(f75,plain,
! [X2,X3,X0,X1] :
( ~ greater_or_equal(X2,X3)
| ~ greater_or_equal(X3,X1)
| ~ subpopulations(first_movers,efficient_producers,X0,X2)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0)
| subpopulations(first_movers,efficient_producers,X0,X3) ),
inference(cnf_transformation,[],[f44]) ).
fof(f76,plain,
! [X2,X0,X1] :
( critical_point(X0) != X1
| ~ environment(X0)
| ~ greater(X2,X1)
| ~ subpopulations(first_movers,efficient_producers,X0,X2)
| greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2)) ),
inference(cnf_transformation,[],[f46]) ).
fof(f77,plain,
! [X0,X1] :
( critical_point(X0) != X1
| ~ environment(X0)
| ~ greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1)) ),
inference(cnf_transformation,[],[f46]) ).
fof(f78,plain,
! [X0,X1] :
( ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0)
| decreases(difference(founding_rate(first_movers,X1),founding_rate(efficient_producers,X1))) ),
inference(cnf_transformation,[],[f48]) ).
fof(f79,plain,
greater(critical_point(sK0),sK1),
inference(cnf_transformation,[],[f55]) ).
fof(f80,plain,
greater_or_equal(sK1,appear(efficient_producers,sK0)),
inference(cnf_transformation,[],[f55]) ).
fof(f81,plain,
in_environment(sK0,critical_point(sK0)),
inference(cnf_transformation,[],[f55]) ).
fof(f82,plain,
environment(sK0),
inference(cnf_transformation,[],[f55]) ).
fof(f83,plain,
~ selection_favors(first_movers,efficient_producers,sK1),
inference(cnf_transformation,[],[f55]) ).
fof(f84,plain,
! [X1] : greater_or_equal(X1,X1),
inference(equality_resolution,[],[f72]) ).
fof(f85,plain,
! [X0] :
( ~ environment(X0)
| ~ greater(growth_rate(efficient_producers,critical_point(X0)),growth_rate(first_movers,critical_point(X0))) ),
inference(equality_resolution,[],[f77]) ).
fof(f86,plain,
! [X2,X0] :
( ~ environment(X0)
| ~ greater(X2,critical_point(X0))
| ~ subpopulations(first_movers,efficient_producers,X0,X2)
| greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2)) ),
inference(equality_resolution,[],[f76]) ).
tcf(c_49,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( selection_favors(X0,X2,X1)
| ~ environment(X3)
| ~ subpopulations(X2,X0,X3,X1)
| ~ greater(growth_rate(X0,X1),growth_rate(X2,X1)) ),
inference(cnf_transformation,[],[f56]) ).
tcf(c_50,plain,
! [X0: $i,X1: $i] :
( ~ environment(X1)
| ~ subpopulations(first_movers,efficient_producers,X1,X0)
| ~ decreases(difference(disbanding_rate(first_movers,X0),disbanding_rate(efficient_producers,X0))) ),
inference(cnf_transformation,[],[f57]) ).
tcf(c_51,plain,
! [X0: $i] :
( subpopulations(first_movers,efficient_producers,X0,critical_point(X0))
| ~ environment(X0)
| ~ in_environment(X0,critical_point(X0)) ),
inference(cnf_transformation,[],[f58]) ).
tcf(c_52,plain,
! [X0: $i] :
( subpopulations(first_movers,efficient_producers,X0,appear(efficient_producers,X0))
| ~ environment(X0)
| ~ in_environment(X0,appear(efficient_producers,X0)) ),
inference(cnf_transformation,[],[f59]) ).
tcf(c_53,plain,
! [X0: $i,X1: $i,X2: $i] :
( greater(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)),zero)
| ~ environment(X2)
| ~ in_environment(X2,X0)
| ~ greater(X0,X1)
| ~ greater_or_equal(X1,appear(efficient_producers,X2))
| ~ decreases(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)))
| ~ greater_or_equal(difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)),zero) ),
inference(cnf_transformation,[],[f60]) ).
tcf(c_54,plain,
! [X0: $i] :
( decreases(difference(disbanding_rate(first_movers,X0),disbanding_rate(efficient_producers,X0)))
| decreases(difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)))
| ~ decreases(difference(founding_rate(first_movers,X0),founding_rate(efficient_producers,X0))) ),
inference(cnf_transformation,[],[f61]) ).
tcf(c_55,plain,
! [X0: $i] :
( greater(zero,difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)))
| ~ greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0)) ),
inference(cnf_transformation,[],[f63]) ).
tcf(c_56,plain,
! [X0: $i] :
( greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0))
| ~ greater(zero,difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0))) ),
inference(cnf_transformation,[],[f62]) ).
tcf(c_57,plain,
! [X0: $i] :
( greater(difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)),zero)
| ~ greater(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)) ),
inference(cnf_transformation,[],[f65]) ).
tcf(c_58,plain,
! [X0: $i] :
( greater(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0))
| ~ greater(difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)),zero) ),
inference(cnf_transformation,[],[f64]) ).
tcf(c_59,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( in_environment(X0,X3)
| ~ environment(X0)
| ~ greater_or_equal(X3,X2)
| ~ greater_or_equal(X1,X3)
| ~ in_environment(X0,X2)
| ~ in_environment(X0,X1) ),
inference(cnf_transformation,[],[f66]) ).
tcf(c_60,plain,
! [X0: $i] :
( in_environment(X0,start_time(X0))
| ~ environment(X0) ),
inference(cnf_transformation,[],[f67]) ).
tcf(c_61,plain,
! [X0: $i] :
( greater_or_equal(appear(first_movers,X0),start_time(X0))
| ~ environment(X0) ),
inference(cnf_transformation,[],[f68]) ).
tcf(c_62,plain,
! [X0: $i,X1: $i] :
( subpopulations(efficient_producers,first_movers,X0,X1)
| ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X1) ),
inference(cnf_transformation,[],[f69]) ).
tcf(c_63,plain,
! [X0: $i,X1: $i] :
( greater_or_equal(X1,appear(efficient_producers,X0))
| ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X1) ),
inference(cnf_transformation,[],[f70]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i] :
( greater_or_equal(X0,X1)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[],[f73]) ).
tcf(c_65,plain,
! [X0: $i] : greater_or_equal(X0,X0),
inference(cnf_transformation,[],[f84]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i] :
( greater(X0,X1)
| ( X0 = X1 )
| ~ greater_or_equal(X0,X1) ),
inference(cnf_transformation,[],[f71]) ).
tcf(c_67,plain,
! [X0: $i,X1: $i] :
( greater_or_equal(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)),zero)
| greater(zero,difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)))
| ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X1) ),
inference(cnf_transformation,[],[f74]) ).
tcf(c_68,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( subpopulations(first_movers,efficient_producers,X0,X3)
| ~ environment(X0)
| ~ greater_or_equal(X3,X2)
| ~ greater_or_equal(X1,X3)
| ~ subpopulations(first_movers,efficient_producers,X0,X2)
| ~ subpopulations(first_movers,efficient_producers,X0,X1) ),
inference(cnf_transformation,[],[f75]) ).
tcf(c_69,plain,
! [X0: $i] :
( ~ environment(X0)
| ~ greater(growth_rate(efficient_producers,critical_point(X0)),growth_rate(first_movers,critical_point(X0))) ),
inference(cnf_transformation,[],[f85]) ).
tcf(c_70,plain,
! [X0: $i,X1: $i] :
( greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| ~ environment(X0)
| ~ greater(X1,critical_point(X0))
| ~ subpopulations(first_movers,efficient_producers,X0,X1) ),
inference(cnf_transformation,[],[f86]) ).
tcf(c_71,plain,
! [X0: $i,X1: $i] :
( decreases(difference(founding_rate(first_movers,X1),founding_rate(efficient_producers,X1)))
| ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X1) ),
inference(cnf_transformation,[],[f78]) ).
tcf(c_72,negated_conjecture,
~ selection_favors(first_movers,efficient_producers,sK1),
inference(cnf_transformation,[],[f83]) ).
tcf(c_73,negated_conjecture,
environment(sK0),
inference(cnf_transformation,[],[f82]) ).
tcf(c_74,negated_conjecture,
in_environment(sK0,critical_point(sK0)),
inference(cnf_transformation,[],[f81]) ).
tcf(c_75,negated_conjecture,
greater_or_equal(sK1,appear(efficient_producers,sK0)),
inference(cnf_transformation,[],[f80]) ).
tcf(c_76,negated_conjecture,
greater(critical_point(sK0),sK1),
inference(cnf_transformation,[],[f79]) ).
tcf(c_126,plain,
greater_or_equal(critical_point(sK0),sK1),
inference(superposition,[status(thm)],[c_76,c_64]) ).
tcf(c_137,plain,
! [X0: $i] :
( greater(appear(first_movers,X0),start_time(X0))
| ( appear(first_movers,X0) = start_time(X0) )
| ~ environment(X0) ),
inference(superposition,[status(thm)],[c_61,c_66]) ).
tcf(c_139,plain,
( greater(sK1,appear(efficient_producers,sK0))
| ( appear(efficient_producers,sK0) = sK1 ) ),
inference(superposition,[status(thm)],[c_75,c_66]) ).
tcf(c_162,plain,
( subpopulations(first_movers,efficient_producers,sK0,critical_point(sK0))
| ~ environment(sK0) ),
inference(superposition,[status(thm)],[c_74,c_51]) ).
tcf(c_163,plain,
subpopulations(first_movers,efficient_producers,sK0,critical_point(sK0)),
inference(forward_subsumption_resolution,[status(thm)],[c_162,c_73]) ).
tcf(c_170,plain,
( subpopulations(efficient_producers,first_movers,sK0,critical_point(sK0))
| ~ environment(sK0) ),
inference(superposition,[status(thm)],[c_163,c_62]) ).
tcf(c_171,plain,
subpopulations(efficient_producers,first_movers,sK0,critical_point(sK0)),
inference(forward_subsumption_resolution,[status(thm)],[c_170,c_73]) ).
tcf(c_178,plain,
( greater_or_equal(critical_point(sK0),appear(efficient_producers,sK0))
| ~ environment(sK0) ),
inference(superposition,[status(thm)],[c_163,c_63]) ).
tcf(c_179,plain,
greater_or_equal(critical_point(sK0),appear(efficient_producers,sK0)),
inference(forward_subsumption_resolution,[status(thm)],[c_178,c_73]) ).
tcf(c_180,plain,
( greater(critical_point(sK0),appear(efficient_producers,sK0))
| ( appear(efficient_producers,sK0) = critical_point(sK0) ) ),
inference(superposition,[status(thm)],[c_179,c_66]) ).
tcf(c_208,plain,
! [X0: $i] :
( greater_or_equal(zero,difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)))
| ~ greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0)) ),
inference(superposition,[status(thm)],[c_55,c_64]) ).
tcf(c_223,plain,
! [X0: $i] :
( greater_or_equal(difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)),zero)
| ~ greater(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)) ),
inference(superposition,[status(thm)],[c_57,c_64]) ).
tcf(c_238,plain,
( decreases(difference(founding_rate(first_movers,critical_point(sK0)),founding_rate(efficient_producers,critical_point(sK0))))
| ~ environment(sK0) ),
inference(superposition,[status(thm)],[c_163,c_71]) ).
tcf(c_239,plain,
decreases(difference(founding_rate(first_movers,critical_point(sK0)),founding_rate(efficient_producers,critical_point(sK0)))),
inference(forward_subsumption_resolution,[status(thm)],[c_238,c_73]) ).
tcf(c_278,plain,
( greater(growth_rate(efficient_producers,critical_point(sK0)),growth_rate(first_movers,critical_point(sK0)))
| ~ environment(sK0)
| ~ greater(critical_point(sK0),critical_point(sK0)) ),
inference(superposition,[status(thm)],[c_163,c_70]) ).
tcf(c_279,plain,
( greater(growth_rate(efficient_producers,critical_point(sK0)),growth_rate(first_movers,critical_point(sK0)))
| ~ greater(critical_point(sK0),critical_point(sK0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_278,c_73]) ).
tcf(c_294,plain,
! [X0: $i,X1: $i,X2: $i] :
( in_environment(X0,X1)
| ~ environment(X0)
| ~ greater_or_equal(X1,X2)
| ~ in_environment(X0,X2)
| ~ greater_or_equal(start_time(X0),X1) ),
inference(superposition,[status(thm)],[c_60,c_59]) ).
tcf(c_295,plain,
! [X0: $i,X1: $i] :
( in_environment(sK0,X0)
| ~ environment(sK0)
| ~ in_environment(sK0,X1)
| ~ greater_or_equal(X0,X1)
| ~ greater_or_equal(critical_point(sK0),X0) ),
inference(superposition,[status(thm)],[c_74,c_59]) ).
tcf(c_296,plain,
! [X0: $i,X1: $i] :
( in_environment(sK0,X0)
| ~ in_environment(sK0,X1)
| ~ greater_or_equal(X0,X1)
| ~ greater_or_equal(critical_point(sK0),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_295,c_73]) ).
tcf(c_312,plain,
( ~ environment(sK0)
| ~ greater(critical_point(sK0),critical_point(sK0)) ),
inference(superposition,[status(thm)],[c_279,c_69]) ).
tcf(c_313,plain,
~ greater(critical_point(sK0),critical_point(sK0)),
inference(forward_subsumption_resolution,[status(thm)],[c_312,c_73]) ).
tcf(c_320,plain,
( decreases(difference(disbanding_rate(first_movers,critical_point(sK0)),disbanding_rate(efficient_producers,critical_point(sK0))))
| decreases(difference(growth_rate(first_movers,critical_point(sK0)),growth_rate(efficient_producers,critical_point(sK0)))) ),
inference(superposition,[status(thm)],[c_239,c_54]) ).
tcf(c_332,plain,
! [X0: $i] :
( in_environment(sK0,sK1)
| ~ greater_or_equal(sK1,X0)
| ~ in_environment(sK0,X0) ),
inference(superposition,[status(thm)],[c_126,c_296]) ).
tcf(c_333,plain,
! [X0: $i] :
( in_environment(sK0,appear(efficient_producers,sK0))
| ~ in_environment(sK0,X0)
| ~ greater_or_equal(appear(efficient_producers,sK0),X0) ),
inference(superposition,[status(thm)],[c_179,c_296]) ).
tcf(c_348,plain,
( in_environment(sK0,sK1)
| ~ environment(sK0)
| ~ greater_or_equal(sK1,start_time(sK0)) ),
inference(superposition,[status(thm)],[c_60,c_332]) ).
tcf(c_349,plain,
( in_environment(sK0,sK1)
| ~ greater_or_equal(sK1,critical_point(sK0)) ),
inference(superposition,[status(thm)],[c_74,c_332]) ).
tcf(c_352,plain,
( in_environment(sK0,sK1)
| ~ greater_or_equal(sK1,start_time(sK0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_348,c_73]) ).
tcf(c_363,plain,
( greater_or_equal(difference(growth_rate(first_movers,critical_point(sK0)),growth_rate(efficient_producers,critical_point(sK0))),zero)
| greater(zero,difference(growth_rate(first_movers,critical_point(sK0)),growth_rate(efficient_producers,critical_point(sK0))))
| ~ environment(sK0) ),
inference(superposition,[status(thm)],[c_163,c_67]) ).
tcf(c_364,plain,
( greater_or_equal(difference(growth_rate(first_movers,critical_point(sK0)),growth_rate(efficient_producers,critical_point(sK0))),zero)
| greater(zero,difference(growth_rate(first_movers,critical_point(sK0)),growth_rate(efficient_producers,critical_point(sK0)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_363,c_73]) ).
tcf(c_387,plain,
! [X0: $i,X1: $i] :
( subpopulations(first_movers,efficient_producers,sK0,X1)
| ~ environment(sK0)
| ~ greater_or_equal(X1,X0)
| ~ greater_or_equal(critical_point(sK0),X1)
| ~ subpopulations(first_movers,efficient_producers,sK0,X0) ),
inference(superposition,[status(thm)],[c_163,c_68]) ).
tcf(c_388,plain,
! [X0: $i,X1: $i] :
( subpopulations(first_movers,efficient_producers,sK0,X1)
| ~ greater_or_equal(X1,X0)
| ~ greater_or_equal(critical_point(sK0),X1)
| ~ subpopulations(first_movers,efficient_producers,sK0,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_387,c_73]) ).
tcf(c_408,plain,
! [X0: $i] :
( subpopulations(first_movers,efficient_producers,sK0,X0)
| ~ greater_or_equal(X0,critical_point(sK0))
| ~ greater_or_equal(critical_point(sK0),X0) ),
inference(superposition,[status(thm)],[c_163,c_388]) ).
tcf(c_427,plain,
! [X0: $i,X1: $i,X2: $i] :
( greater(difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)),zero)
| ~ environment(X2)
| ~ in_environment(X2,X1)
| ~ greater(X1,X0)
| ~ greater_or_equal(X0,appear(efficient_producers,X2))
| ~ greater(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1))
| ~ decreases(difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0))) ),
inference(superposition,[status(thm)],[c_223,c_53]) ).
tcf(c_442,plain,
( subpopulations(first_movers,efficient_producers,sK0,sK1)
| ~ greater_or_equal(sK1,critical_point(sK0)) ),
inference(superposition,[status(thm)],[c_126,c_408]) ).
tcf(c_443,plain,
( subpopulations(first_movers,efficient_producers,sK0,appear(efficient_producers,sK0))
| ~ greater_or_equal(appear(efficient_producers,sK0),critical_point(sK0)) ),
inference(superposition,[status(thm)],[c_179,c_408]) ).
tcf(c_452,plain,
! [X0: $i,X1: $i] :
( greater(difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)),zero)
| greater(zero,difference(growth_rate(first_movers,critical_point(sK0)),growth_rate(efficient_producers,critical_point(sK0))))
| ~ environment(X1)
| ~ in_environment(X1,critical_point(sK0))
| ~ greater(critical_point(sK0),X0)
| ~ greater_or_equal(X0,appear(efficient_producers,X1))
| ~ decreases(difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0))) ),
inference(superposition,[status(thm)],[c_364,c_53]) ).
tcf(c_453,plain,
( greater(zero,difference(growth_rate(first_movers,critical_point(sK0)),growth_rate(efficient_producers,critical_point(sK0))))
| greater(difference(growth_rate(first_movers,critical_point(sK0)),growth_rate(efficient_producers,critical_point(sK0))),zero)
| ( difference(growth_rate(first_movers,critical_point(sK0)),growth_rate(efficient_producers,critical_point(sK0))) = zero ) ),
inference(superposition,[status(thm)],[c_364,c_66]) ).
tcf(c_488,plain,
! [X0: $i] :
( decreases(difference(growth_rate(first_movers,critical_point(sK0)),growth_rate(efficient_producers,critical_point(sK0))))
| ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,critical_point(sK0)) ),
inference(superposition,[status(thm)],[c_320,c_50]) ).
tcf(c_499,plain,
( decreases(difference(growth_rate(first_movers,critical_point(sK0)),growth_rate(efficient_producers,critical_point(sK0))))
| ~ environment(sK0) ),
inference(superposition,[status(thm)],[c_163,c_488]) ).
tcf(c_500,plain,
decreases(difference(growth_rate(first_movers,critical_point(sK0)),growth_rate(efficient_producers,critical_point(sK0)))),
inference(forward_subsumption_resolution,[status(thm)],[c_499,c_73]) ).
tcf(c_512,plain,
( greater(growth_rate(first_movers,critical_point(sK0)),growth_rate(efficient_producers,critical_point(sK0)))
| greater(zero,difference(growth_rate(first_movers,critical_point(sK0)),growth_rate(efficient_producers,critical_point(sK0))))
| ( difference(growth_rate(first_movers,critical_point(sK0)),growth_rate(efficient_producers,critical_point(sK0))) = zero ) ),
inference(superposition,[status(thm)],[c_453,c_58]) ).
tcf(c_522,plain,
( greater(growth_rate(first_movers,critical_point(sK0)),growth_rate(efficient_producers,critical_point(sK0)))
| greater_or_equal(zero,difference(growth_rate(first_movers,critical_point(sK0)),growth_rate(efficient_producers,critical_point(sK0))))
| ( difference(growth_rate(first_movers,critical_point(sK0)),growth_rate(efficient_producers,critical_point(sK0))) = zero ) ),
inference(superposition,[status(thm)],[c_512,c_64]) ).
tcf(c_523,plain,
( greater(growth_rate(efficient_producers,critical_point(sK0)),growth_rate(first_movers,critical_point(sK0)))
| greater(growth_rate(first_movers,critical_point(sK0)),growth_rate(efficient_producers,critical_point(sK0)))
| ( difference(growth_rate(first_movers,critical_point(sK0)),growth_rate(efficient_producers,critical_point(sK0))) = zero ) ),
inference(superposition,[status(thm)],[c_512,c_56]) ).
tcf(c_536,plain,
! [X0: $i] :
( selection_favors(first_movers,efficient_producers,critical_point(sK0))
| greater(growth_rate(efficient_producers,critical_point(sK0)),growth_rate(first_movers,critical_point(sK0)))
| ( difference(growth_rate(first_movers,critical_point(sK0)),growth_rate(efficient_producers,critical_point(sK0))) = zero )
| ~ environment(X0)
| ~ subpopulations(efficient_producers,first_movers,X0,critical_point(sK0)) ),
inference(superposition,[status(thm)],[c_523,c_49]) ).
tcf(c_537,plain,
( greater_or_equal(growth_rate(first_movers,critical_point(sK0)),growth_rate(efficient_producers,critical_point(sK0)))
| greater(growth_rate(efficient_producers,critical_point(sK0)),growth_rate(first_movers,critical_point(sK0)))
| ( difference(growth_rate(first_movers,critical_point(sK0)),growth_rate(efficient_producers,critical_point(sK0))) = zero ) ),
inference(superposition,[status(thm)],[c_523,c_64]) ).
tcf(c_590,plain,
( selection_favors(first_movers,efficient_producers,critical_point(sK0))
| greater(growth_rate(efficient_producers,critical_point(sK0)),growth_rate(first_movers,critical_point(sK0)))
| ( difference(growth_rate(first_movers,critical_point(sK0)),growth_rate(efficient_producers,critical_point(sK0))) = zero )
| ~ environment(sK0) ),
inference(superposition,[status(thm)],[c_171,c_536]) ).
tcf(c_591,plain,
( selection_favors(first_movers,efficient_producers,critical_point(sK0))
| greater(growth_rate(efficient_producers,critical_point(sK0)),growth_rate(first_movers,critical_point(sK0)))
| ( difference(growth_rate(first_movers,critical_point(sK0)),growth_rate(efficient_producers,critical_point(sK0))) = zero ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_590,c_73]) ).
tcf(c_620,plain,
! [X0: $i,X1: $i] :
( greater(difference(growth_rate(first_movers,critical_point(sK0)),growth_rate(efficient_producers,critical_point(sK0))),zero)
| ~ environment(X1)
| ~ in_environment(X1,X0)
| ~ greater(X0,critical_point(sK0))
| ~ greater_or_equal(critical_point(sK0),appear(efficient_producers,X1))
| ~ greater(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)) ),
inference(superposition,[status(thm)],[c_500,c_427]) ).
tcf(c_640,plain,
! [X0: $i] :
( greater(difference(growth_rate(first_movers,critical_point(sK0)),growth_rate(efficient_producers,critical_point(sK0))),zero)
| ~ environment(sK0)
| ~ in_environment(sK0,X0)
| ~ greater(X0,critical_point(sK0))
| ~ greater(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)) ),
inference(superposition,[status(thm)],[c_179,c_620]) ).
tcf(c_641,plain,
! [X0: $i] :
( greater(difference(growth_rate(first_movers,critical_point(sK0)),growth_rate(efficient_producers,critical_point(sK0))),zero)
| ~ in_environment(sK0,X0)
| ~ greater(X0,critical_point(sK0))
| ~ greater(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_640,c_73]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT034+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p SAT
% 0.11/0.53 % Computer : n020.cluster.edu
% 0.11/0.53 % Model : x86_64 x86_64
% 0.11/0.53 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.53 % Memory : 8046.5625MB
% 0.11/0.53 % OS : Linux 6.8.0-71-generic
% 0.11/0.53 % CPULimit : 300
% 0.11/0.53 % WCLimit : 300
% 0.11/0.53 % DateTime : Thu Sep 24 01:07:33 UTC 2026
% 0.11/0.53 % CPUTime :
% 0.11/0.53 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p SAT
% 0.14/0.56 Running model finding
% 0.14/0.56 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fnt_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.58
% 0.14/0.58 % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.58
% 0.14/0.58 % Detected problem language: tptp
% 0.14/0.59 % Proving...
% 3.59/1.35 % SZS status Started for theBenchmark.p
% 3.59/1.35 % SZS status CounterSatisfiable for theBenchmark.p
% 3.59/1.35
% 3.59/1.35 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.59/1.35
% 3.59/1.35 ------ iProver source info
% 3.59/1.35
% 3.59/1.35 git: date: 2026-07-19 20:42:38 +0200
% 3.59/1.35 git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.59/1.35 git: non_committed_changes: false
% 3.59/1.35
% 3.59/1.35 ------ Parsing...
% 3.59/1.35 ------ Clausification by vclausify_rel & Parsing by iProver...
% 3.59/1.35 ------ Proving...
% 3.59/1.35 ------ Problem Properties
% 3.59/1.35
% 3.59/1.35
% 3.59/1.35 clauses 28
% 3.59/1.35 conjectures 5
% 3.59/1.35 EPR 8
% 3.59/1.35 Horn 25
% 3.59/1.35 unary 6
% 3.59/1.35 binary 8
% 3.59/1.35 lits 77
% 3.59/1.35 lits eq 1
% 3.59/1.35 fd_pure 0
% 3.59/1.35 fd_pseudo 0
% 3.59/1.35 fd_cond 0
% 3.59/1.35 fd_pseudo_cond 1
% 3.59/1.35 AC symbols 0
% 3.59/1.35
% 3.59/1.35 ------ Schedule Sat is on
% 3.59/1.35
% 3.59/1.35 ------ Input Options sat_mode off Time Limit: 30.
% 3.59/1.35
% 3.59/1.35
% 3.59/1.35 ------
% 3.59/1.35 Current options:
% 3.59/1.35 ------
% 3.59/1.35
% 3.59/1.35 ------ Input Options
% 3.59/1.35
% 3.59/1.35 --out_options all
% 3.59/1.35 --tptp_safe_out true
% 3.59/1.35 --problem_path ""
% 3.59/1.35 --include_path ""
% 3.59/1.35 --clausifier res/vclausify_rel
% 3.59/1.35 --clausifier_options --mode clausify -t 101.66 -updr off
% 3.59/1.35 --stdin false
% 3.59/1.35 --proof_out true
% 3.59/1.35 --proof_dot_file ""
% 3.59/1.35 --proof_reduce_dot []
% 3.59/1.35 --suppress_sat_res false
% 3.59/1.35 --suppress_unsat_res true
% 3.59/1.35 --stats_out none
% 3.59/1.35 --stats_mem false
% 3.59/1.35 --theory_stats_out false
% 3.59/1.35
% 3.59/1.35 ------ General Options
% 3.59/1.35
% 3.59/1.35 --fof false
% 3.59/1.35 --time_out_real 304.99
% 3.59/1.35 --time_out_virtual -1.
% 3.59/1.35 --rnd_seed 13
% 3.59/1.35 --symbol_type_check false
% 3.59/1.35 --clausify_out false
% 3.59/1.35 --sig_cnt_out false
% 3.59/1.35 --trig_cnt_out false
% 3.59/1.35 --trig_cnt_out_tolerance 1.
% 3.59/1.35 --trig_cnt_out_sk_spl false
% 3.59/1.35 --abstr_cl_out false
% 3.59/1.35
% 3.59/1.35 ------ Interactive Mode
% 3.59/1.35
% 3.59/1.35 --interactive_mode false
% 3.59/1.35 --external_ip_address ""
% 3.59/1.35 --external_port 0
% 3.59/1.35
% 3.59/1.35 ------ Global Options
% 3.59/1.35
% 3.59/1.35 --schedule sat
% 3.59/1.35 --add_important_lit false
% 3.59/1.35 --prop_solver_per_cl 500
% 3.59/1.35 --subs_bck_mult 8
% 3.59/1.35 --min_unsat_core false
% 3.59/1.35 --soft_assumptions false
% 3.59/1.35 --soft_lemma_size 3
% 3.59/1.35 --prop_impl_unit_size 0
% 3.59/1.35 --prop_impl_unit []
% 3.59/1.35 --share_sel_clauses true
% 3.59/1.35 --reset_solvers false
% 3.59/1.35 --bc_imp_inh [conj_cone]
% 3.59/1.35 --conj_cone_tolerance 3.
% 3.59/1.35 --extra_neg_conj none
% 3.59/1.35 --large_theory_mode true
% 3.59/1.35 --prolific_symb_bound 200
% 3.59/1.35 --lt_threshold 2000
% 3.59/1.35 --clause_weak_htbl true
% 3.59/1.35 --gc_record_bc_elim false
% 3.59/1.35
% 3.59/1.35 ------ Preprocessing Options
% 3.59/1.35
% 3.59/1.35 --preprocessing_flag false
% 3.59/1.35 --time_out_prep_mult 0.1
% 3.59/1.35 --splitting_mode input
% 3.59/1.35 --splitting_grd true
% 3.59/1.35 --splitting_cvd false
% 3.59/1.35 --splitting_cvd_svl false
% 3.59/1.35 --splitting_nvd 32
% 3.59/1.35 --sub_typing false
% 3.59/1.35 --prep_eq_flat_conj false
% 3.59/1.35 --prep_ineq_split false
% 3.59/1.35 --prep_eq_flat_all_gr false
% 3.59/1.35 --prep_gs_sim true
% 3.59/1.35 --prep_unflatten true
% 3.59/1.35 --prep_res_sim true
% 3.59/1.35 --prep_sup_sim_all true
% 3.59/1.35 --prep_sup_sim_sup false
% 3.59/1.35 --prep_upred true
% 3.59/1.35 --prep_well_definedness true
% 3.59/1.35 --prep_sem_filter exhaustive
% 3.59/1.35 --prep_sem_filter_out false
% 3.59/1.35 --pred_elim true
% 3.59/1.35 --res_sim_input true
% 3.59/1.35 --eq_ax_congr_red true
% 3.59/1.35 --pure_diseq_elim true
% 3.59/1.35 --brand_transform false
% 3.59/1.35 --non_eq_to_eq false
% 3.59/1.35 --prep_eq_proxy false
% 3.59/1.35 --prep_def_merge true
% 3.59/1.35 --prep_def_merge_prop_impl false
% 3.59/1.35 --prep_def_merge_mbd true
% 3.59/1.35 --prep_def_merge_tr_red false
% 3.59/1.35 --prep_def_merge_tr_cl false
% 3.59/1.35 --smt_preprocessing false
% 3.59/1.35 --smt_ac_axioms fast
% 3.59/1.35 --preprocessed_out false
% 3.59/1.35 --preprocessed_stats false
% 3.59/1.35
% 3.59/1.35 ------ Abstraction refinement Options
% 3.59/1.35
% 3.59/1.35 --abstr_ref []
% 3.59/1.35 --abstr_ref_prep false
% 3.59/1.35 --abstr_ref_until_sat false
% 3.59/1.35 --abstr_ref_sig_restrict funpre
% 3.59/1.35 --abstr_ref_af_restrict_to_split_sk false
% 3.59/1.35 --abstr_ref_under []
% 3.59/1.35
% 3.59/1.35 ------ SAT Options
% 3.59/1.35
% 3.59/1.35 --sat_mode false
% 3.59/1.35 --sat_fm_restart_options ""
% 3.59/1.35 --sat_gr_def false
% 3.59/1.35 --sat_epr_types true
% 3.59/1.35 --sat_non_cyclic_types false
% 3.59/1.35 --sat_finite_models false
% 3.59/1.35 --sat_fm_lemmas false
% 3.59/1.35 --sat_fm_prep false
% 3.59/1.35 --sat_fm_uc_incr true
% 3.59/1.35 --sat_out_model small
% 3.59/1.35 --sat_out_clauses false
% 3.59/1.35
% 3.59/1.35 ------ QBF Options
% 3.59/1.35
% 3.59/1.35 --qbf_mode false
% 3.59/1.35 --qbf_elim_univ false
% 3.59/1.35 --qbf_dom_inst none
% 3.59/1.35 --qbf_dom_pre_inst false
% 3.59/1.35 --qbf_sk_in false
% 3.59/1.35 --qbf_pred_elim true
% 3.59/1.35 --qbf_split 512
% 3.59/1.35
% 3.59/1.35 ------ BMC1 Options
% 3.59/1.35
% 3.59/1.35 --bmc1_incremental false
% 3.59/1.35 --bmc1_axioms reachable_all
% 3.59/1.35 --bmc1_min_bound 0
% 3.59/1.35 --bmc1_max_bound -1
% 3.59/1.35 --bmc1_max_bound_default -1
% 3.59/1.35 --bmc1_symbol_reachability true
% 3.59/1.35 --bmc1_property_lemmas false
% 3.59/1.35 --bmc1_k_induction false
% 3.59/1.35 --bmc1_non_equiv_states false
% 3.59/1.35 --bmc1_deadlock false
% 3.59/1.35 --bmc1_ucm false
% 3.59/1.35 --bmc1_add_unsat_core none
% 3.59/1.35 --bmc1_unsat_core_children false
% 3.59/1.35 --bmc1_unsat_core_extrapolate_axioms false
% 3.59/1.35 --bmc1_out_stat full
% 3.59/1.35 --bmc1_ground_init false
% 3.59/1.35 --bmc1_pre_inst_next_state false
% 3.59/1.35 --bmc1_pre_inst_state false
% 3.59/1.35 --bmc1_pre_inst_reach_state false
% 3.59/1.35 --bmc1_out_unsat_core false
% 3.59/1.35 --bmc1_aig_witness_out false
% 3.59/1.35 --bmc1_verbose false
% 3.59/1.35 --bmc1_dump_clauses_tptp false
% 3.59/1.35 --bmc1_dump_unsat_core_tptp false
% 3.59/1.35 --bmc1_dump_file -
% 3.59/1.35 --bmc1_ucm_expand_uc_limit 128
% 3.59/1.35 --bmc1_ucm_n_expand_iterations 6
% 3.59/1.35 --bmc1_ucm_extend_mode 1
% 3.59/1.35 --bmc1_ucm_init_mode 2
% 3.59/1.35 --bmc1_ucm_cone_mode none
% 3.59/1.35 --bmc1_ucm_reduced_relation_type 0
% 3.59/1.35 --bmc1_ucm_relax_model 4
% 3.59/1.35 --bmc1_ucm_full_tr_after_sat true
% 3.59/1.35 --bmc1_ucm_expand_neg_assumptions false
% 3.59/1.35 --bmc1_ucm_layered_model none
% 3.59/1.35 --bmc1_ucm_max_lemma_size 10
% 3.59/1.35
% 3.59/1.35 ------ AIG Options
% 3.59/1.35
% 3.59/1.35 --aig_mode false
% 3.59/1.35
% 3.59/1.35 ------ Instantiation Options
% 3.59/1.35
% 3.59/1.35 --instantiation_flag true
% 3.59/1.35 --inst_sos_flag false
% 3.59/1.35 --inst_sos_phase true
% 3.59/1.35 --inst_sos_sth_lit_sel [+prop;+non_prol_conj_symb;-eq;+ground;-num_var;-num_symb]
% 3.59/1.35 --inst_lit_sel [-sign;+ground;-num_var;-num_symb]
% 3.59/1.35 --inst_lit_sel_side num_symb
% 3.59/1.35 --inst_solver_per_active 1400
% 3.59/1.35 --inst_solver_calls_frac 1.
% 3.59/1.35 --inst_to_smt_solver true
% 3.59/1.35 --inst_passive_queue_type priority_queues
% 3.59/1.35 --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 3.59/1.35 --inst_passive_queues_freq [25;2]
% 3.59/1.35 --inst_dismatching true
% 3.59/1.35 --inst_eager_unprocessed_to_passive true
% 3.59/1.35 --inst_unprocessed_bound 1000
% 3.59/1.35 --inst_prop_sim_given true
% 3.59/1.35 --inst_prop_sim_new false
% 3.59/1.35 --inst_subs_new false
% 3.59/1.35 --inst_eq_res_simp false
% 3.59/1.35 --inst_subs_given false
% 3.59/1.35 --inst_orphan_elimination true
% 3.59/1.35 --inst_learning_loop_flag true
% 3.59/1.35 --inst_learning_start 3000
% 3.59/1.35 --inst_learning_factor 2
% 3.59/1.35 --inst_start_prop_sim_after_learn 3
% 3.59/1.35 --inst_sel_renew solver
% 3.59/1.35 --inst_lit_activity_flag true
% 3.59/1.35 --inst_restr_to_given false
% 3.59/1.35 --inst_activity_threshold 500
% 3.59/1.35
% 3.59/1.35 ------ Resolution Options
% 3.59/1.35
% 3.59/1.35 --resolution_flag true
% 3.59/1.35 --res_lit_sel neg_min
% 3.59/1.35 --res_lit_sel_side none
% 3.59/1.35 --res_ordering kbo
% 3.59/1.35 --res_to_prop_solver active
% 3.59/1.35 --res_prop_simpl_new false
% 3.59/1.35 --res_prop_simpl_given true
% 3.59/1.35 --res_to_smt_solver true
% 3.59/1.35 --res_passive_queue_type priority_queues
% 3.59/1.35 --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 3.59/1.35 --res_passive_queues_freq [15;5]
% 3.59/1.35 --res_forward_subs full
% 3.59/1.35 --res_backward_subs full
% 3.59/1.35 --res_forward_subs_resolution true
% 3.59/1.35 --res_backward_subs_resolution true
% 3.59/1.35 --res_orphan_elimination true
% 3.59/1.35 --res_time_limit 300.
% 3.59/1.35
% 3.59/1.35 ------ Superposition Options
% 3.59/1.35
% 3.59/1.35 --superposition_flag true
% 3.59/1.35 --sup_passive_queue_type priority_queues
% 3.59/1.35 --sup_passive_queues [[-conj_dist;-num_symb];[+age;-num_symb];[+score;-num_symb]]
% 3.59/1.35 --sup_passive_queues_freq [1;1;1]
% 3.59/1.35 --twee_lhs_weight 4
% 3.59/1.35 --sup_set_join false
% 3.59/1.35 --sup_set_join_goals true
% 3.59/1.35 --sup_set_join_limit 1000
% 3.59/1.35 --demod_completeness_check fast
% 3.59/1.35 --demod_use_ground true
% 3.59/1.35 --sup_unprocessed_bound 0
% 3.59/1.35 --sup_to_prop_solver passive
% 3.59/1.35 --sup_prop_simpl_new true
% 3.59/1.35 --sup_prop_simpl_given true
% 3.59/1.35 --sup_fun_splitting false
% 3.59/1.35 --sup_iter_deepening 2
% 3.59/1.35 --sup_restarts_mult 12
% 3.59/1.35 --sup_score sim_d_gen
% 3.59/1.35 --sup_share_score_frac 0.2
% 3.59/1.35 --sup_share_max_num_cl 500
% 3.59/1.35 --sup_ordering lpo
% 3.59/1.35 --sup_symb_ordering invfreq
% 3.59/1.35 --sup_term_weight default
% 3.59/1.35
% 3.59/1.35 ------ Superposition Simplification Setup
% 3.59/1.35
% 3.59/1.35 --sup_indices_passive [LightNormIndex;FwDemodIndex]
% 3.59/1.35 --sup_full_triv [SMTSimplify;PropSubs]
% 3.59/1.35 --sup_full_fw [ACNormalisation;FwLightNorm;FwDemod;FwUnitSubsAndRes;FwSubsumption;FwSubsumptionRes;FwGroundJoinability]
% 3.59/1.35 --sup_full_bw [BwDemod;BwUnitSubsAndRes;BwSubsumption;BwSubsumptionRes]
% 3.59/1.35 --sup_immed_triv []
% 3.59/1.35 --sup_immed_fw_main [ACNormalisation;FwLightNorm;FwUnitSubsAndRes]
% 3.59/1.35 --sup_immed_fw_immed [ACNormalisation;FwUnitSubsAndRes]
% 3.59/1.35 --sup_immed_bw_main [BwUnitSubsAndRes;BwDemod]
% 3.59/1.35 --sup_immed_bw_immed [BwUnitSubsAndRes;BwSubsumption;BwSubsumptionRes]
% 3.59/1.35 --sup_input_triv [Unflattening;SMTSimplify]
% 3.59/1.35 --sup_input_fw [FwACDemod;ACNormalisation;FwLightNorm;FwDemod;FwUnitSubsAndRes;FwSubsumption;FwSubsumptionRes;FwGroundJoinability]
% 3.59/1.35 --sup_input_bw [BwACDemod;BwDemod;BwUnitSubsAndRes;BwSubsumption;BwSubsumptionRes]
% 3.59/1.35 --sup_full_fixpoint true
% 3.59/1.35 --sup_main_fixpoint true
% 3.59/1.35 --sup_immed_fixpoint false
% 3.59/1.35 --sup_input_fixpoint true
% 3.59/1.35 --sup_cache_sim none
% 3.59/1.35 --sup_smt_interval 500
% 3.59/1.35 --sup_bw_gjoin_interval 0
% 3.59/1.35
% 3.59/1.35 ------ Combination Options
% 3.59/1.35
% 3.59/1.35 --comb_mode clause_based
% 3.59/1.35 --comb_inst_mult 5
% 3.59/1.35 --comb_res_mult 1
% 3.59/1.35 --comb_sup_mult 8
% 3.59/1.35 --comb_sup_deep_mult 2
% 3.59/1.35
% 3.59/1.35 ------ Debug Options
% 3.59/1.35
% 3.59/1.35 --dbg_backtrace false
% 3.59/1.35 --dbg_dump_prop_clauses false
% 3.59/1.35 --dbg_dump_prop_clauses_file -
% 3.59/1.35 --dbg_out_stat false
% 3.59/1.35 --dbg_just_parse false
% 3.59/1.35
% 3.59/1.35
% 3.59/1.35
% 3.59/1.35
% 3.59/1.35 ------ Proving...
% 3.59/1.35
% 3.59/1.35
% 3.59/1.35 % SZS status CounterSatisfiable for theBenchmark.p
% 3.59/1.35
% 3.59/1.35 % SZS output start Saturation for theBenchmark.p
% See solution above
% 3.59/1.36
% 3.59/1.36
%------------------------------------------------------------------------------