TSTP Solution File: MGT034+2 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : MGT034+2 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sun Jul 17 22:19:22 EDT 2022
% Result : Theorem 0.46s 0.65s
% Output : CNFRefutation 0.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 69
% Number of leaves : 23
% Syntax : Number of formulae : 205 ( 27 unt; 0 def)
% Number of atoms : 668 ( 66 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 798 ( 335 ~; 385 |; 51 &)
% ( 9 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 10 ( 7 usr; 1 prp; 0-4 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-2 aty)
% Number of variables : 203 ( 0 sgn 122 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mp1_high_growth_rates,axiom,
! [E,S1,S2,T] :
( ( environment(E)
& subpopulations(S1,S2,E,T)
& greater(growth_rate(S2,T),growth_rate(S1,T)) )
=> selection_favors(S2,S1,T) ) ).
fof(l3,axiom,
! [E,T] :
( ( environment(E)
& subpopulations(first_movers,efficient_producers,E,T) )
=> ~ decreases(difference(disbanding_rate(first_movers,T),disbanding_rate(efficient_producers,T))) ) ).
fof(mp_critical_point_means_FM_and_EP,axiom,
! [E] :
( ( environment(E)
& in_environment(E,critical_point(E)) )
=> subpopulations(first_movers,efficient_producers,E,critical_point(E)) ) ).
fof(mp_FM_and_EP_when_EP_appears,axiom,
! [E] :
( ( environment(E)
& in_environment(E,appear(efficient_producers,E)) )
=> subpopulations(first_movers,efficient_producers,E,appear(efficient_producers,E)) ) ).
fof(mp_difference_between_founding_rates,axiom,
! [T] :
( ( decreases(difference(founding_rate(first_movers,T),founding_rate(efficient_producers,T)))
& ~ decreases(difference(disbanding_rate(first_movers,T),disbanding_rate(efficient_producers,T))) )
=> decreases(difference(growth_rate(first_movers,T),growth_rate(efficient_producers,T))) ) ).
fof(mp_decreasing_function,axiom,
! [E,T,To] :
( ( environment(E)
& in_environment(E,To)
& greater_or_equal(difference(growth_rate(first_movers,To),growth_rate(efficient_producers,To)),zero)
& greater_or_equal(T,appear(efficient_producers,E))
& greater(To,T) )
=> ( decreases(difference(growth_rate(first_movers,T),growth_rate(efficient_producers,T)))
=> greater(difference(growth_rate(first_movers,T),growth_rate(efficient_producers,T)),zero) ) ) ).
fof(mp_negative_growth_rate_difference,axiom,
! [T] :
( greater(zero,difference(growth_rate(first_movers,T),growth_rate(efficient_producers,T)))
<=> greater(growth_rate(efficient_producers,T),growth_rate(first_movers,T)) ) ).
fof(mp_positive_growth_rate_difference,axiom,
! [T] :
( greater(difference(growth_rate(first_movers,T),growth_rate(efficient_producers,T)),zero)
<=> greater(growth_rate(first_movers,T),growth_rate(efficient_producers,T)) ) ).
fof(mp_critical_time_points,axiom,
! [E,T] :
( ( environment(E)
& in_environment(E,critical_point(E))
& greater_or_equal(T,appear(efficient_producers,E))
& greater(critical_point(E),T) )
=> in_environment(E,T) ) ).
fof(mp_symmetry_of_subpopulations,axiom,
! [E,T] :
( ( environment(E)
& subpopulations(first_movers,efficient_producers,E,T) )
=> subpopulations(efficient_producers,first_movers,E,T) ) ).
fof(mp_FM_and_EP_members_EP_appeared,axiom,
! [E,T] :
( ( environment(E)
& subpopulations(first_movers,efficient_producers,E,T) )
=> greater_or_equal(T,appear(efficient_producers,E)) ) ).
fof(mp_greater_or_equal,axiom,
! [X,Y] :
( greater_or_equal(X,Y)
<=> ( greater(X,Y)
| X = Y ) ) ).
fof(mp_relationship_of_growth_rates,axiom,
! [E,T] :
( ( environment(E)
& subpopulations(first_movers,efficient_producers,E,T)
& ~ greater(zero,difference(growth_rate(first_movers,T),growth_rate(efficient_producers,T))) )
=> greater_or_equal(difference(growth_rate(first_movers,T),growth_rate(efficient_producers,T)),zero) ) ).
fof(d1,hypothesis,
! [E,Tc] :
( ( environment(E)
& Tc = critical_point(E) )
=> ( ~ greater(growth_rate(efficient_producers,Tc),growth_rate(first_movers,Tc))
& ! [T] :
( ( subpopulations(first_movers,efficient_producers,E,T)
& greater(T,Tc) )
=> greater(growth_rate(efficient_producers,T),growth_rate(first_movers,T)) ) ) ) ).
fof(a10,hypothesis,
! [E,T1,T2,T] :
( ( environment(E)
& subpopulations(first_movers,efficient_producers,E,T1)
& subpopulations(first_movers,efficient_producers,E,T2)
& greater_or_equal(T,T1)
& greater_or_equal(T2,T) )
=> subpopulations(first_movers,efficient_producers,E,T) ) ).
fof(a12,hypothesis,
! [E,T] :
( ( environment(E)
& subpopulations(first_movers,efficient_producers,E,T) )
=> decreases(difference(founding_rate(first_movers,T),founding_rate(efficient_producers,T))) ) ).
fof(prove_t3,conjecture,
! [E,T] :
( ( environment(E)
& in_environment(E,critical_point(E))
& greater_or_equal(T,appear(efficient_producers,E))
& greater(critical_point(E),T) )
=> selection_favors(first_movers,efficient_producers,T) ) ).
fof(subgoal_0,plain,
! [E,T] :
( ( environment(E)
& in_environment(E,critical_point(E))
& greater_or_equal(T,appear(efficient_producers,E))
& greater(critical_point(E),T) )
=> selection_favors(first_movers,efficient_producers,T) ),
inference(strip,[],[prove_t3]) ).
fof(negate_0_0,plain,
~ ! [E,T] :
( ( environment(E)
& in_environment(E,critical_point(E))
& greater_or_equal(T,appear(efficient_producers,E))
& greater(critical_point(E),T) )
=> selection_favors(first_movers,efficient_producers,T) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
! [E,T] :
( ~ environment(E)
| ~ subpopulations(first_movers,efficient_producers,E,T)
| subpopulations(efficient_producers,first_movers,E,T) ),
inference(canonicalize,[],[mp_symmetry_of_subpopulations]) ).
fof(normalize_0_1,plain,
! [E,T] :
( ~ environment(E)
| ~ subpopulations(first_movers,efficient_producers,E,T)
| subpopulations(efficient_producers,first_movers,E,T) ),
inference(specialize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
? [E,T] :
( ~ selection_favors(first_movers,efficient_producers,T)
& environment(E)
& greater(critical_point(E),T)
& greater_or_equal(T,appear(efficient_producers,E))
& in_environment(E,critical_point(E)) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_3,plain,
( ~ selection_favors(first_movers,efficient_producers,skolemFOFtoCNF_T)
& environment(skolemFOFtoCNF_E)
& greater(critical_point(skolemFOFtoCNF_E),skolemFOFtoCNF_T)
& greater_or_equal(skolemFOFtoCNF_T,appear(efficient_producers,skolemFOFtoCNF_E))
& in_environment(skolemFOFtoCNF_E,critical_point(skolemFOFtoCNF_E)) ),
inference(skolemize,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
greater(critical_point(skolemFOFtoCNF_E),skolemFOFtoCNF_T),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
! [X,Y] :
( ~ greater_or_equal(X,Y)
<=> ( X != Y
& ~ greater(X,Y) ) ),
inference(canonicalize,[],[mp_greater_or_equal]) ).
fof(normalize_0_6,plain,
! [X,Y] :
( ~ greater_or_equal(X,Y)
<=> ( X != Y
& ~ greater(X,Y) ) ),
inference(specialize,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
! [X,Y] :
( ( X != Y
| greater_or_equal(X,Y) )
& ( ~ greater(X,Y)
| greater_or_equal(X,Y) )
& ( ~ greater_or_equal(X,Y)
| X = Y
| greater(X,Y) ) ),
inference(clausify,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
! [X,Y] :
( ~ greater(X,Y)
| greater_or_equal(X,Y) ),
inference(conjunct,[],[normalize_0_7]) ).
fof(normalize_0_9,plain,
in_environment(skolemFOFtoCNF_E,critical_point(skolemFOFtoCNF_E)),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_10,plain,
! [E] :
( ~ environment(E)
| ~ in_environment(E,critical_point(E))
| subpopulations(first_movers,efficient_producers,E,critical_point(E)) ),
inference(canonicalize,[],[mp_critical_point_means_FM_and_EP]) ).
fof(normalize_0_11,plain,
! [E] :
( ~ environment(E)
| ~ in_environment(E,critical_point(E))
| subpopulations(first_movers,efficient_producers,E,critical_point(E)) ),
inference(specialize,[],[normalize_0_10]) ).
fof(normalize_0_12,plain,
environment(skolemFOFtoCNF_E),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_13,plain,
! [E,T,T1,T2] :
( ~ environment(E)
| ~ greater_or_equal(T,T1)
| ~ greater_or_equal(T2,T)
| ~ subpopulations(first_movers,efficient_producers,E,T1)
| ~ subpopulations(first_movers,efficient_producers,E,T2)
| subpopulations(first_movers,efficient_producers,E,T) ),
inference(canonicalize,[],[a10]) ).
fof(normalize_0_14,plain,
! [E,T,T1,T2] :
( ~ environment(E)
| ~ greater_or_equal(T,T1)
| ~ greater_or_equal(T2,T)
| ~ subpopulations(first_movers,efficient_producers,E,T1)
| ~ subpopulations(first_movers,efficient_producers,E,T2)
| subpopulations(first_movers,efficient_producers,E,T) ),
inference(specialize,[],[normalize_0_13]) ).
fof(normalize_0_15,plain,
greater_or_equal(skolemFOFtoCNF_T,appear(efficient_producers,skolemFOFtoCNF_E)),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_16,plain,
! [E] :
( ~ environment(E)
| ~ in_environment(E,appear(efficient_producers,E))
| subpopulations(first_movers,efficient_producers,E,appear(efficient_producers,E)) ),
inference(canonicalize,[],[mp_FM_and_EP_when_EP_appears]) ).
fof(normalize_0_17,plain,
! [E] :
( ~ environment(E)
| ~ in_environment(E,appear(efficient_producers,E))
| subpopulations(first_movers,efficient_producers,E,appear(efficient_producers,E)) ),
inference(specialize,[],[normalize_0_16]) ).
fof(normalize_0_18,plain,
! [X,Y] :
( ~ greater_or_equal(X,Y)
| X = Y
| greater(X,Y) ),
inference(conjunct,[],[normalize_0_7]) ).
fof(normalize_0_19,plain,
! [E,T] :
( ~ environment(E)
| ~ subpopulations(first_movers,efficient_producers,E,T)
| greater_or_equal(T,appear(efficient_producers,E)) ),
inference(canonicalize,[],[mp_FM_and_EP_members_EP_appeared]) ).
fof(normalize_0_20,plain,
! [E,T] :
( ~ environment(E)
| ~ subpopulations(first_movers,efficient_producers,E,T)
| greater_or_equal(T,appear(efficient_producers,E)) ),
inference(specialize,[],[normalize_0_19]) ).
fof(normalize_0_21,plain,
! [X,Y] :
( X != Y
| greater_or_equal(X,Y) ),
inference(conjunct,[],[normalize_0_7]) ).
fof(normalize_0_22,plain,
! [E,T] :
( ~ environment(E)
| ~ greater(critical_point(E),T)
| ~ greater_or_equal(T,appear(efficient_producers,E))
| ~ in_environment(E,critical_point(E))
| in_environment(E,T) ),
inference(canonicalize,[],[mp_critical_time_points]) ).
fof(normalize_0_23,plain,
! [E,T] :
( ~ environment(E)
| ~ greater(critical_point(E),T)
| ~ greater_or_equal(T,appear(efficient_producers,E))
| ~ in_environment(E,critical_point(E))
| in_environment(E,T) ),
inference(specialize,[],[normalize_0_22]) ).
fof(normalize_0_24,plain,
! [E,S1,S2,T] :
( ~ environment(E)
| ~ greater(growth_rate(S2,T),growth_rate(S1,T))
| ~ subpopulations(S1,S2,E,T)
| selection_favors(S2,S1,T) ),
inference(canonicalize,[],[mp1_high_growth_rates]) ).
fof(normalize_0_25,plain,
! [E,S1,S2,T] :
( ~ environment(E)
| ~ greater(growth_rate(S2,T),growth_rate(S1,T))
| ~ subpopulations(S1,S2,E,T)
| selection_favors(S2,S1,T) ),
inference(specialize,[],[normalize_0_24]) ).
fof(normalize_0_26,plain,
! [E,T] :
( ~ decreases(difference(disbanding_rate(first_movers,T),disbanding_rate(efficient_producers,T)))
| ~ environment(E)
| ~ subpopulations(first_movers,efficient_producers,E,T) ),
inference(canonicalize,[],[l3]) ).
fof(normalize_0_27,plain,
! [E,T] :
( ~ decreases(difference(disbanding_rate(first_movers,T),disbanding_rate(efficient_producers,T)))
| ~ environment(E)
| ~ subpopulations(first_movers,efficient_producers,E,T) ),
inference(specialize,[],[normalize_0_26]) ).
fof(normalize_0_28,plain,
! [E,Tc] :
( Tc != critical_point(E)
| ~ environment(E)
| ( ~ greater(growth_rate(efficient_producers,Tc),growth_rate(first_movers,Tc))
& ! [T] :
( ~ greater(T,Tc)
| ~ subpopulations(first_movers,efficient_producers,E,T)
| greater(growth_rate(efficient_producers,T),growth_rate(first_movers,T)) ) ) ),
inference(canonicalize,[],[d1]) ).
fof(normalize_0_29,plain,
! [E,Tc] :
( Tc != critical_point(E)
| ~ environment(E)
| ( ~ greater(growth_rate(efficient_producers,Tc),growth_rate(first_movers,Tc))
& ! [T] :
( ~ greater(T,Tc)
| ~ subpopulations(first_movers,efficient_producers,E,T)
| greater(growth_rate(efficient_producers,T),growth_rate(first_movers,T)) ) ) ),
inference(specialize,[],[normalize_0_28]) ).
fof(normalize_0_30,plain,
! [E,T,Tc] :
( ( Tc != critical_point(E)
| ~ environment(E)
| ~ greater(growth_rate(efficient_producers,Tc),growth_rate(first_movers,Tc)) )
& ( Tc != critical_point(E)
| ~ environment(E)
| ~ greater(T,Tc)
| ~ subpopulations(first_movers,efficient_producers,E,T)
| greater(growth_rate(efficient_producers,T),growth_rate(first_movers,T)) ) ),
inference(clausify,[],[normalize_0_29]) ).
fof(normalize_0_31,plain,
! [E,Tc] :
( Tc != critical_point(E)
| ~ environment(E)
| ~ greater(growth_rate(efficient_producers,Tc),growth_rate(first_movers,Tc)) ),
inference(conjunct,[],[normalize_0_30]) ).
fof(normalize_0_32,plain,
! [T] :
( ~ greater(difference(growth_rate(first_movers,T),growth_rate(efficient_producers,T)),zero)
<=> ~ greater(growth_rate(first_movers,T),growth_rate(efficient_producers,T)) ),
inference(canonicalize,[],[mp_positive_growth_rate_difference]) ).
fof(normalize_0_33,plain,
! [T] :
( ~ greater(difference(growth_rate(first_movers,T),growth_rate(efficient_producers,T)),zero)
<=> ~ greater(growth_rate(first_movers,T),growth_rate(efficient_producers,T)) ),
inference(specialize,[],[normalize_0_32]) ).
fof(normalize_0_34,plain,
! [T] :
( ( ~ greater(difference(growth_rate(first_movers,T),growth_rate(efficient_producers,T)),zero)
| greater(growth_rate(first_movers,T),growth_rate(efficient_producers,T)) )
& ( ~ greater(growth_rate(first_movers,T),growth_rate(efficient_producers,T))
| greater(difference(growth_rate(first_movers,T),growth_rate(efficient_producers,T)),zero) ) ),
inference(clausify,[],[normalize_0_33]) ).
fof(normalize_0_35,plain,
! [T] :
( ~ greater(difference(growth_rate(first_movers,T),growth_rate(efficient_producers,T)),zero)
| greater(growth_rate(first_movers,T),growth_rate(efficient_producers,T)) ),
inference(conjunct,[],[normalize_0_34]) ).
fof(normalize_0_36,plain,
! [T] :
( ~ greater(growth_rate(efficient_producers,T),growth_rate(first_movers,T))
<=> ~ greater(zero,difference(growth_rate(first_movers,T),growth_rate(efficient_producers,T))) ),
inference(canonicalize,[],[mp_negative_growth_rate_difference]) ).
fof(normalize_0_37,plain,
! [T] :
( ~ greater(growth_rate(efficient_producers,T),growth_rate(first_movers,T))
<=> ~ greater(zero,difference(growth_rate(first_movers,T),growth_rate(efficient_producers,T))) ),
inference(specialize,[],[normalize_0_36]) ).
fof(normalize_0_38,plain,
! [T] :
( ( ~ greater(growth_rate(efficient_producers,T),growth_rate(first_movers,T))
| greater(zero,difference(growth_rate(first_movers,T),growth_rate(efficient_producers,T))) )
& ( ~ greater(zero,difference(growth_rate(first_movers,T),growth_rate(efficient_producers,T)))
| greater(growth_rate(efficient_producers,T),growth_rate(first_movers,T)) ) ),
inference(clausify,[],[normalize_0_37]) ).
fof(normalize_0_39,plain,
! [T] :
( ~ greater(zero,difference(growth_rate(first_movers,T),growth_rate(efficient_producers,T)))
| greater(growth_rate(efficient_producers,T),growth_rate(first_movers,T)) ),
inference(conjunct,[],[normalize_0_38]) ).
fof(normalize_0_40,plain,
! [T] :
( ~ decreases(difference(founding_rate(first_movers,T),founding_rate(efficient_producers,T)))
| decreases(difference(disbanding_rate(first_movers,T),disbanding_rate(efficient_producers,T)))
| decreases(difference(growth_rate(first_movers,T),growth_rate(efficient_producers,T))) ),
inference(canonicalize,[],[mp_difference_between_founding_rates]) ).
fof(normalize_0_41,plain,
! [T] :
( ~ decreases(difference(founding_rate(first_movers,T),founding_rate(efficient_producers,T)))
| decreases(difference(disbanding_rate(first_movers,T),disbanding_rate(efficient_producers,T)))
| decreases(difference(growth_rate(first_movers,T),growth_rate(efficient_producers,T))) ),
inference(specialize,[],[normalize_0_40]) ).
fof(normalize_0_42,plain,
! [E,T] :
( ~ environment(E)
| ~ subpopulations(first_movers,efficient_producers,E,T)
| decreases(difference(founding_rate(first_movers,T),founding_rate(efficient_producers,T))) ),
inference(canonicalize,[],[a12]) ).
fof(normalize_0_43,plain,
! [E,T] :
( ~ environment(E)
| ~ subpopulations(first_movers,efficient_producers,E,T)
| decreases(difference(founding_rate(first_movers,T),founding_rate(efficient_producers,T))) ),
inference(specialize,[],[normalize_0_42]) ).
fof(normalize_0_44,plain,
! [E,T] :
( ~ environment(E)
| ~ subpopulations(first_movers,efficient_producers,E,T)
| greater(zero,difference(growth_rate(first_movers,T),growth_rate(efficient_producers,T)))
| greater_or_equal(difference(growth_rate(first_movers,T),growth_rate(efficient_producers,T)),zero) ),
inference(canonicalize,[],[mp_relationship_of_growth_rates]) ).
fof(normalize_0_45,plain,
! [E,T] :
( ~ environment(E)
| ~ subpopulations(first_movers,efficient_producers,E,T)
| greater(zero,difference(growth_rate(first_movers,T),growth_rate(efficient_producers,T)))
| greater_or_equal(difference(growth_rate(first_movers,T),growth_rate(efficient_producers,T)),zero) ),
inference(specialize,[],[normalize_0_44]) ).
fof(normalize_0_46,plain,
! [E,T,To] :
( ~ decreases(difference(growth_rate(first_movers,T),growth_rate(efficient_producers,T)))
| ~ environment(E)
| ~ greater(To,T)
| ~ greater_or_equal(T,appear(efficient_producers,E))
| ~ greater_or_equal(difference(growth_rate(first_movers,To),growth_rate(efficient_producers,To)),zero)
| ~ in_environment(E,To)
| greater(difference(growth_rate(first_movers,T),growth_rate(efficient_producers,T)),zero) ),
inference(canonicalize,[],[mp_decreasing_function]) ).
fof(normalize_0_47,plain,
! [E,T,To] :
( ~ decreases(difference(growth_rate(first_movers,T),growth_rate(efficient_producers,T)))
| ~ environment(E)
| ~ greater(To,T)
| ~ greater_or_equal(T,appear(efficient_producers,E))
| ~ greater_or_equal(difference(growth_rate(first_movers,To),growth_rate(efficient_producers,To)),zero)
| ~ in_environment(E,To)
| greater(difference(growth_rate(first_movers,T),growth_rate(efficient_producers,T)),zero) ),
inference(specialize,[],[normalize_0_46]) ).
fof(normalize_0_48,plain,
~ selection_favors(first_movers,efficient_producers,skolemFOFtoCNF_T),
inference(conjunct,[],[normalize_0_3]) ).
cnf(refute_0_0,plain,
( ~ environment(E)
| ~ subpopulations(first_movers,efficient_producers,E,T)
| subpopulations(efficient_producers,first_movers,E,T) ),
inference(canonicalize,[],[normalize_0_1]) ).
cnf(refute_0_1,plain,
( ~ environment(skolemFOFtoCNF_E)
| ~ subpopulations(first_movers,efficient_producers,skolemFOFtoCNF_E,skolemFOFtoCNF_T)
| subpopulations(efficient_producers,first_movers,skolemFOFtoCNF_E,skolemFOFtoCNF_T) ),
inference(subst,[],[refute_0_0:[bind(E,$fot(skolemFOFtoCNF_E)),bind(T,$fot(skolemFOFtoCNF_T))]]) ).
cnf(refute_0_2,plain,
greater(critical_point(skolemFOFtoCNF_E),skolemFOFtoCNF_T),
inference(canonicalize,[],[normalize_0_4]) ).
cnf(refute_0_3,plain,
( ~ greater(X,Y)
| greater_or_equal(X,Y) ),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_4,plain,
( ~ greater(critical_point(skolemFOFtoCNF_E),skolemFOFtoCNF_T)
| greater_or_equal(critical_point(skolemFOFtoCNF_E),skolemFOFtoCNF_T) ),
inference(subst,[],[refute_0_3:[bind(X,$fot(critical_point(skolemFOFtoCNF_E))),bind(Y,$fot(skolemFOFtoCNF_T))]]) ).
cnf(refute_0_5,plain,
greater_or_equal(critical_point(skolemFOFtoCNF_E),skolemFOFtoCNF_T),
inference(resolve,[$cnf( greater(critical_point(skolemFOFtoCNF_E),skolemFOFtoCNF_T) )],[refute_0_2,refute_0_4]) ).
cnf(refute_0_6,plain,
in_environment(skolemFOFtoCNF_E,critical_point(skolemFOFtoCNF_E)),
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_7,plain,
( ~ environment(E)
| ~ in_environment(E,critical_point(E))
| subpopulations(first_movers,efficient_producers,E,critical_point(E)) ),
inference(canonicalize,[],[normalize_0_11]) ).
cnf(refute_0_8,plain,
( ~ environment(skolemFOFtoCNF_E)
| ~ in_environment(skolemFOFtoCNF_E,critical_point(skolemFOFtoCNF_E))
| subpopulations(first_movers,efficient_producers,skolemFOFtoCNF_E,critical_point(skolemFOFtoCNF_E)) ),
inference(subst,[],[refute_0_7:[bind(E,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_9,plain,
( ~ environment(skolemFOFtoCNF_E)
| subpopulations(first_movers,efficient_producers,skolemFOFtoCNF_E,critical_point(skolemFOFtoCNF_E)) ),
inference(resolve,[$cnf( in_environment(skolemFOFtoCNF_E,critical_point(skolemFOFtoCNF_E)) )],[refute_0_6,refute_0_8]) ).
cnf(refute_0_10,plain,
environment(skolemFOFtoCNF_E),
inference(canonicalize,[],[normalize_0_12]) ).
cnf(refute_0_11,plain,
subpopulations(first_movers,efficient_producers,skolemFOFtoCNF_E,critical_point(skolemFOFtoCNF_E)),
inference(resolve,[$cnf( environment(skolemFOFtoCNF_E) )],[refute_0_10,refute_0_9]) ).
cnf(refute_0_12,plain,
( ~ environment(E)
| ~ greater_or_equal(T,T1)
| ~ greater_or_equal(T2,T)
| ~ subpopulations(first_movers,efficient_producers,E,T1)
| ~ subpopulations(first_movers,efficient_producers,E,T2)
| subpopulations(first_movers,efficient_producers,E,T) ),
inference(canonicalize,[],[normalize_0_14]) ).
cnf(refute_0_13,plain,
( ~ environment(skolemFOFtoCNF_E)
| ~ greater_or_equal(X_47,critical_point(skolemFOFtoCNF_E))
| ~ greater_or_equal(critical_point(skolemFOFtoCNF_E),X_47)
| ~ subpopulations(first_movers,efficient_producers,skolemFOFtoCNF_E,critical_point(skolemFOFtoCNF_E))
| subpopulations(first_movers,efficient_producers,skolemFOFtoCNF_E,X_47) ),
inference(subst,[],[refute_0_12:[bind(E,$fot(skolemFOFtoCNF_E)),bind(T,$fot(X_47)),bind(T1,$fot(critical_point(skolemFOFtoCNF_E))),bind(T2,$fot(critical_point(skolemFOFtoCNF_E)))]]) ).
cnf(refute_0_14,plain,
( ~ environment(skolemFOFtoCNF_E)
| ~ greater_or_equal(X_47,critical_point(skolemFOFtoCNF_E))
| ~ greater_or_equal(critical_point(skolemFOFtoCNF_E),X_47)
| subpopulations(first_movers,efficient_producers,skolemFOFtoCNF_E,X_47) ),
inference(resolve,[$cnf( subpopulations(first_movers,efficient_producers,skolemFOFtoCNF_E,critical_point(skolemFOFtoCNF_E)) )],[refute_0_11,refute_0_13]) ).
cnf(refute_0_15,plain,
( ~ greater_or_equal(X_47,critical_point(skolemFOFtoCNF_E))
| ~ greater_or_equal(critical_point(skolemFOFtoCNF_E),X_47)
| subpopulations(first_movers,efficient_producers,skolemFOFtoCNF_E,X_47) ),
inference(resolve,[$cnf( environment(skolemFOFtoCNF_E) )],[refute_0_10,refute_0_14]) ).
cnf(refute_0_16,plain,
( ~ greater_or_equal(critical_point(skolemFOFtoCNF_E),skolemFOFtoCNF_T)
| ~ greater_or_equal(skolemFOFtoCNF_T,critical_point(skolemFOFtoCNF_E))
| subpopulations(first_movers,efficient_producers,skolemFOFtoCNF_E,skolemFOFtoCNF_T) ),
inference(subst,[],[refute_0_15:[bind(X_47,$fot(skolemFOFtoCNF_T))]]) ).
cnf(refute_0_17,plain,
( ~ greater_or_equal(skolemFOFtoCNF_T,critical_point(skolemFOFtoCNF_E))
| subpopulations(first_movers,efficient_producers,skolemFOFtoCNF_E,skolemFOFtoCNF_T) ),
inference(resolve,[$cnf( greater_or_equal(critical_point(skolemFOFtoCNF_E),skolemFOFtoCNF_T) )],[refute_0_5,refute_0_16]) ).
cnf(refute_0_18,plain,
greater_or_equal(skolemFOFtoCNF_T,appear(efficient_producers,skolemFOFtoCNF_E)),
inference(canonicalize,[],[normalize_0_15]) ).
cnf(refute_0_19,plain,
( ~ environment(E)
| ~ in_environment(E,appear(efficient_producers,E))
| subpopulations(first_movers,efficient_producers,E,appear(efficient_producers,E)) ),
inference(canonicalize,[],[normalize_0_17]) ).
cnf(refute_0_20,plain,
( ~ environment(skolemFOFtoCNF_E)
| ~ in_environment(skolemFOFtoCNF_E,appear(efficient_producers,skolemFOFtoCNF_E))
| subpopulations(first_movers,efficient_producers,skolemFOFtoCNF_E,appear(efficient_producers,skolemFOFtoCNF_E)) ),
inference(subst,[],[refute_0_19:[bind(E,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_21,plain,
( ~ greater_or_equal(X,Y)
| X = Y
| greater(X,Y) ),
inference(canonicalize,[],[normalize_0_18]) ).
cnf(refute_0_22,plain,
( ~ greater_or_equal(critical_point(skolemFOFtoCNF_E),appear(efficient_producers,skolemFOFtoCNF_E))
| critical_point(skolemFOFtoCNF_E) = appear(efficient_producers,skolemFOFtoCNF_E)
| greater(critical_point(skolemFOFtoCNF_E),appear(efficient_producers,skolemFOFtoCNF_E)) ),
inference(subst,[],[refute_0_21:[bind(X,$fot(critical_point(skolemFOFtoCNF_E))),bind(Y,$fot(appear(efficient_producers,skolemFOFtoCNF_E)))]]) ).
cnf(refute_0_23,plain,
( ~ environment(E)
| ~ subpopulations(first_movers,efficient_producers,E,T)
| greater_or_equal(T,appear(efficient_producers,E)) ),
inference(canonicalize,[],[normalize_0_20]) ).
cnf(refute_0_24,plain,
( ~ environment(skolemFOFtoCNF_E)
| ~ subpopulations(first_movers,efficient_producers,skolemFOFtoCNF_E,critical_point(skolemFOFtoCNF_E))
| greater_or_equal(critical_point(skolemFOFtoCNF_E),appear(efficient_producers,skolemFOFtoCNF_E)) ),
inference(subst,[],[refute_0_23:[bind(E,$fot(skolemFOFtoCNF_E)),bind(T,$fot(critical_point(skolemFOFtoCNF_E)))]]) ).
cnf(refute_0_25,plain,
( ~ environment(skolemFOFtoCNF_E)
| greater_or_equal(critical_point(skolemFOFtoCNF_E),appear(efficient_producers,skolemFOFtoCNF_E)) ),
inference(resolve,[$cnf( subpopulations(first_movers,efficient_producers,skolemFOFtoCNF_E,critical_point(skolemFOFtoCNF_E)) )],[refute_0_11,refute_0_24]) ).
cnf(refute_0_26,plain,
greater_or_equal(critical_point(skolemFOFtoCNF_E),appear(efficient_producers,skolemFOFtoCNF_E)),
inference(resolve,[$cnf( environment(skolemFOFtoCNF_E) )],[refute_0_10,refute_0_25]) ).
cnf(refute_0_27,plain,
( critical_point(skolemFOFtoCNF_E) = appear(efficient_producers,skolemFOFtoCNF_E)
| greater(critical_point(skolemFOFtoCNF_E),appear(efficient_producers,skolemFOFtoCNF_E)) ),
inference(resolve,[$cnf( greater_or_equal(critical_point(skolemFOFtoCNF_E),appear(efficient_producers,skolemFOFtoCNF_E)) )],[refute_0_26,refute_0_22]) ).
cnf(refute_0_28,plain,
( X != Y
| greater_or_equal(X,Y) ),
inference(canonicalize,[],[normalize_0_21]) ).
cnf(refute_0_29,plain,
( Y != Y
| greater_or_equal(Y,Y) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(Y))]]) ).
cnf(refute_0_30,plain,
Y = Y,
introduced(tautology,[refl,[$fot(Y)]]) ).
cnf(refute_0_31,plain,
greater_or_equal(Y,Y),
inference(resolve,[$cnf( $equal(Y,Y) )],[refute_0_30,refute_0_29]) ).
cnf(refute_0_32,plain,
greater_or_equal(appear(efficient_producers,X_25),appear(efficient_producers,X_25)),
inference(subst,[],[refute_0_31:[bind(Y,$fot(appear(efficient_producers,X_25)))]]) ).
cnf(refute_0_33,plain,
( ~ environment(E)
| ~ greater(critical_point(E),T)
| ~ greater_or_equal(T,appear(efficient_producers,E))
| ~ in_environment(E,critical_point(E))
| in_environment(E,T) ),
inference(canonicalize,[],[normalize_0_23]) ).
cnf(refute_0_34,plain,
( ~ environment(X_25)
| ~ greater(critical_point(X_25),appear(efficient_producers,X_25))
| ~ greater_or_equal(appear(efficient_producers,X_25),appear(efficient_producers,X_25))
| ~ in_environment(X_25,critical_point(X_25))
| in_environment(X_25,appear(efficient_producers,X_25)) ),
inference(subst,[],[refute_0_33:[bind(E,$fot(X_25)),bind(T,$fot(appear(efficient_producers,X_25)))]]) ).
cnf(refute_0_35,plain,
( ~ environment(X_25)
| ~ greater(critical_point(X_25),appear(efficient_producers,X_25))
| ~ in_environment(X_25,critical_point(X_25))
| in_environment(X_25,appear(efficient_producers,X_25)) ),
inference(resolve,[$cnf( greater_or_equal(appear(efficient_producers,X_25),appear(efficient_producers,X_25)) )],[refute_0_32,refute_0_34]) ).
cnf(refute_0_36,plain,
( ~ environment(skolemFOFtoCNF_E)
| ~ greater(critical_point(skolemFOFtoCNF_E),appear(efficient_producers,skolemFOFtoCNF_E))
| ~ in_environment(skolemFOFtoCNF_E,critical_point(skolemFOFtoCNF_E))
| in_environment(skolemFOFtoCNF_E,appear(efficient_producers,skolemFOFtoCNF_E)) ),
inference(subst,[],[refute_0_35:[bind(X_25,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_37,plain,
( ~ environment(skolemFOFtoCNF_E)
| ~ in_environment(skolemFOFtoCNF_E,critical_point(skolemFOFtoCNF_E))
| critical_point(skolemFOFtoCNF_E) = appear(efficient_producers,skolemFOFtoCNF_E)
| in_environment(skolemFOFtoCNF_E,appear(efficient_producers,skolemFOFtoCNF_E)) ),
inference(resolve,[$cnf( greater(critical_point(skolemFOFtoCNF_E),appear(efficient_producers,skolemFOFtoCNF_E)) )],[refute_0_27,refute_0_36]) ).
cnf(refute_0_38,plain,
( ~ in_environment(skolemFOFtoCNF_E,critical_point(skolemFOFtoCNF_E))
| critical_point(skolemFOFtoCNF_E) = appear(efficient_producers,skolemFOFtoCNF_E)
| in_environment(skolemFOFtoCNF_E,appear(efficient_producers,skolemFOFtoCNF_E)) ),
inference(resolve,[$cnf( environment(skolemFOFtoCNF_E) )],[refute_0_10,refute_0_37]) ).
cnf(refute_0_39,plain,
( critical_point(skolemFOFtoCNF_E) = appear(efficient_producers,skolemFOFtoCNF_E)
| in_environment(skolemFOFtoCNF_E,appear(efficient_producers,skolemFOFtoCNF_E)) ),
inference(resolve,[$cnf( in_environment(skolemFOFtoCNF_E,critical_point(skolemFOFtoCNF_E)) )],[refute_0_6,refute_0_38]) ).
cnf(refute_0_40,plain,
( ~ environment(skolemFOFtoCNF_E)
| critical_point(skolemFOFtoCNF_E) = appear(efficient_producers,skolemFOFtoCNF_E)
| subpopulations(first_movers,efficient_producers,skolemFOFtoCNF_E,appear(efficient_producers,skolemFOFtoCNF_E)) ),
inference(resolve,[$cnf( in_environment(skolemFOFtoCNF_E,appear(efficient_producers,skolemFOFtoCNF_E)) )],[refute_0_39,refute_0_20]) ).
cnf(refute_0_41,plain,
( critical_point(skolemFOFtoCNF_E) = appear(efficient_producers,skolemFOFtoCNF_E)
| subpopulations(first_movers,efficient_producers,skolemFOFtoCNF_E,appear(efficient_producers,skolemFOFtoCNF_E)) ),
inference(resolve,[$cnf( environment(skolemFOFtoCNF_E) )],[refute_0_10,refute_0_40]) ).
cnf(refute_0_42,plain,
( ~ environment(skolemFOFtoCNF_E)
| ~ greater_or_equal(X_105,X_106)
| ~ greater_or_equal(critical_point(skolemFOFtoCNF_E),X_105)
| ~ subpopulations(first_movers,efficient_producers,skolemFOFtoCNF_E,X_106)
| ~ subpopulations(first_movers,efficient_producers,skolemFOFtoCNF_E,critical_point(skolemFOFtoCNF_E))
| subpopulations(first_movers,efficient_producers,skolemFOFtoCNF_E,X_105) ),
inference(subst,[],[refute_0_12:[bind(E,$fot(skolemFOFtoCNF_E)),bind(T,$fot(X_105)),bind(T1,$fot(X_106)),bind(T2,$fot(critical_point(skolemFOFtoCNF_E)))]]) ).
cnf(refute_0_43,plain,
( ~ environment(skolemFOFtoCNF_E)
| ~ greater_or_equal(X_105,X_106)
| ~ greater_or_equal(critical_point(skolemFOFtoCNF_E),X_105)
| ~ subpopulations(first_movers,efficient_producers,skolemFOFtoCNF_E,X_106)
| subpopulations(first_movers,efficient_producers,skolemFOFtoCNF_E,X_105) ),
inference(resolve,[$cnf( subpopulations(first_movers,efficient_producers,skolemFOFtoCNF_E,critical_point(skolemFOFtoCNF_E)) )],[refute_0_11,refute_0_42]) ).
cnf(refute_0_44,plain,
( ~ greater_or_equal(X_105,X_106)
| ~ greater_or_equal(critical_point(skolemFOFtoCNF_E),X_105)
| ~ subpopulations(first_movers,efficient_producers,skolemFOFtoCNF_E,X_106)
| subpopulations(first_movers,efficient_producers,skolemFOFtoCNF_E,X_105) ),
inference(resolve,[$cnf( environment(skolemFOFtoCNF_E) )],[refute_0_10,refute_0_43]) ).
cnf(refute_0_45,plain,
( ~ greater_or_equal(X_108,appear(efficient_producers,skolemFOFtoCNF_E))
| ~ greater_or_equal(critical_point(skolemFOFtoCNF_E),X_108)
| ~ subpopulations(first_movers,efficient_producers,skolemFOFtoCNF_E,appear(efficient_producers,skolemFOFtoCNF_E))
| subpopulations(first_movers,efficient_producers,skolemFOFtoCNF_E,X_108) ),
inference(subst,[],[refute_0_44:[bind(X_105,$fot(X_108)),bind(X_106,$fot(appear(efficient_producers,skolemFOFtoCNF_E)))]]) ).
cnf(refute_0_46,plain,
( ~ greater_or_equal(X_108,appear(efficient_producers,skolemFOFtoCNF_E))
| ~ greater_or_equal(critical_point(skolemFOFtoCNF_E),X_108)
| critical_point(skolemFOFtoCNF_E) = appear(efficient_producers,skolemFOFtoCNF_E)
| subpopulations(first_movers,efficient_producers,skolemFOFtoCNF_E,X_108) ),
inference(resolve,[$cnf( subpopulations(first_movers,efficient_producers,skolemFOFtoCNF_E,appear(efficient_producers,skolemFOFtoCNF_E)) )],[refute_0_41,refute_0_45]) ).
cnf(refute_0_47,plain,
( ~ greater_or_equal(critical_point(skolemFOFtoCNF_E),skolemFOFtoCNF_T)
| ~ greater_or_equal(skolemFOFtoCNF_T,appear(efficient_producers,skolemFOFtoCNF_E))
| critical_point(skolemFOFtoCNF_E) = appear(efficient_producers,skolemFOFtoCNF_E)
| subpopulations(first_movers,efficient_producers,skolemFOFtoCNF_E,skolemFOFtoCNF_T) ),
inference(subst,[],[refute_0_46:[bind(X_108,$fot(skolemFOFtoCNF_T))]]) ).
cnf(refute_0_48,plain,
( ~ greater_or_equal(critical_point(skolemFOFtoCNF_E),skolemFOFtoCNF_T)
| critical_point(skolemFOFtoCNF_E) = appear(efficient_producers,skolemFOFtoCNF_E)
| subpopulations(first_movers,efficient_producers,skolemFOFtoCNF_E,skolemFOFtoCNF_T) ),
inference(resolve,[$cnf( greater_or_equal(skolemFOFtoCNF_T,appear(efficient_producers,skolemFOFtoCNF_E)) )],[refute_0_18,refute_0_47]) ).
cnf(refute_0_49,plain,
( critical_point(skolemFOFtoCNF_E) = appear(efficient_producers,skolemFOFtoCNF_E)
| subpopulations(first_movers,efficient_producers,skolemFOFtoCNF_E,skolemFOFtoCNF_T) ),
inference(resolve,[$cnf( greater_or_equal(critical_point(skolemFOFtoCNF_E),skolemFOFtoCNF_T) )],[refute_0_5,refute_0_48]) ).
cnf(refute_0_50,plain,
( ~ environment(skolemFOFtoCNF_E)
| critical_point(skolemFOFtoCNF_E) = appear(efficient_producers,skolemFOFtoCNF_E)
| subpopulations(efficient_producers,first_movers,skolemFOFtoCNF_E,skolemFOFtoCNF_T) ),
inference(resolve,[$cnf( subpopulations(first_movers,efficient_producers,skolemFOFtoCNF_E,skolemFOFtoCNF_T) )],[refute_0_49,refute_0_1]) ).
cnf(refute_0_51,plain,
( critical_point(skolemFOFtoCNF_E) = appear(efficient_producers,skolemFOFtoCNF_E)
| subpopulations(efficient_producers,first_movers,skolemFOFtoCNF_E,skolemFOFtoCNF_T) ),
inference(resolve,[$cnf( environment(skolemFOFtoCNF_E) )],[refute_0_10,refute_0_50]) ).
cnf(refute_0_52,plain,
( ~ environment(E)
| ~ greater(growth_rate(S2,T),growth_rate(S1,T))
| ~ subpopulations(S1,S2,E,T)
| selection_favors(S2,S1,T) ),
inference(canonicalize,[],[normalize_0_25]) ).
cnf(refute_0_53,plain,
( ~ environment(E)
| ~ greater(growth_rate(first_movers,skolemFOFtoCNF_T),growth_rate(efficient_producers,skolemFOFtoCNF_T))
| ~ subpopulations(efficient_producers,first_movers,E,skolemFOFtoCNF_T)
| selection_favors(first_movers,efficient_producers,skolemFOFtoCNF_T) ),
inference(subst,[],[refute_0_52:[bind(S1,$fot(efficient_producers)),bind(S2,$fot(first_movers)),bind(T,$fot(skolemFOFtoCNF_T))]]) ).
cnf(refute_0_54,plain,
( ~ decreases(difference(disbanding_rate(first_movers,T),disbanding_rate(efficient_producers,T)))
| ~ environment(E)
| ~ subpopulations(first_movers,efficient_producers,E,T) ),
inference(canonicalize,[],[normalize_0_27]) ).
cnf(refute_0_55,plain,
( ~ decreases(difference(disbanding_rate(first_movers,skolemFOFtoCNF_T),disbanding_rate(efficient_producers,skolemFOFtoCNF_T)))
| ~ environment(E)
| ~ subpopulations(first_movers,efficient_producers,E,skolemFOFtoCNF_T) ),
inference(subst,[],[refute_0_54:[bind(T,$fot(skolemFOFtoCNF_T))]]) ).
cnf(refute_0_56,plain,
( Tc != critical_point(E)
| ~ environment(E)
| ~ greater(growth_rate(efficient_producers,Tc),growth_rate(first_movers,Tc)) ),
inference(canonicalize,[],[normalize_0_31]) ).
cnf(refute_0_57,plain,
( critical_point(E) != critical_point(E)
| ~ environment(E)
| ~ greater(growth_rate(efficient_producers,critical_point(E)),growth_rate(first_movers,critical_point(E))) ),
inference(subst,[],[refute_0_56:[bind(Tc,$fot(critical_point(E)))]]) ).
cnf(refute_0_58,plain,
critical_point(E) = critical_point(E),
introduced(tautology,[refl,[$fot(critical_point(E))]]) ).
cnf(refute_0_59,plain,
( ~ environment(E)
| ~ greater(growth_rate(efficient_producers,critical_point(E)),growth_rate(first_movers,critical_point(E))) ),
inference(resolve,[$cnf( $equal(critical_point(E),critical_point(E)) )],[refute_0_58,refute_0_57]) ).
cnf(refute_0_60,plain,
( ~ environment(skolemFOFtoCNF_E)
| ~ greater(growth_rate(efficient_producers,critical_point(skolemFOFtoCNF_E)),growth_rate(first_movers,critical_point(skolemFOFtoCNF_E))) ),
inference(subst,[],[refute_0_59:[bind(E,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_61,plain,
( ~ greater(difference(growth_rate(first_movers,T),growth_rate(efficient_producers,T)),zero)
| greater(growth_rate(first_movers,T),growth_rate(efficient_producers,T)) ),
inference(canonicalize,[],[normalize_0_35]) ).
cnf(refute_0_62,plain,
( ~ greater(difference(growth_rate(first_movers,skolemFOFtoCNF_T),growth_rate(efficient_producers,skolemFOFtoCNF_T)),zero)
| greater(growth_rate(first_movers,skolemFOFtoCNF_T),growth_rate(efficient_producers,skolemFOFtoCNF_T)) ),
inference(subst,[],[refute_0_61:[bind(T,$fot(skolemFOFtoCNF_T))]]) ).
cnf(refute_0_63,plain,
( ~ greater(zero,difference(growth_rate(first_movers,T),growth_rate(efficient_producers,T)))
| greater(growth_rate(efficient_producers,T),growth_rate(first_movers,T)) ),
inference(canonicalize,[],[normalize_0_39]) ).
cnf(refute_0_64,plain,
( ~ greater(zero,difference(growth_rate(first_movers,critical_point(skolemFOFtoCNF_E)),growth_rate(efficient_producers,critical_point(skolemFOFtoCNF_E))))
| greater(growth_rate(efficient_producers,critical_point(skolemFOFtoCNF_E)),growth_rate(first_movers,critical_point(skolemFOFtoCNF_E))) ),
inference(subst,[],[refute_0_63:[bind(T,$fot(critical_point(skolemFOFtoCNF_E)))]]) ).
cnf(refute_0_65,plain,
( ~ decreases(difference(founding_rate(first_movers,T),founding_rate(efficient_producers,T)))
| decreases(difference(disbanding_rate(first_movers,T),disbanding_rate(efficient_producers,T)))
| decreases(difference(growth_rate(first_movers,T),growth_rate(efficient_producers,T))) ),
inference(canonicalize,[],[normalize_0_41]) ).
cnf(refute_0_66,plain,
( ~ decreases(difference(founding_rate(first_movers,skolemFOFtoCNF_T),founding_rate(efficient_producers,skolemFOFtoCNF_T)))
| decreases(difference(disbanding_rate(first_movers,skolemFOFtoCNF_T),disbanding_rate(efficient_producers,skolemFOFtoCNF_T)))
| decreases(difference(growth_rate(first_movers,skolemFOFtoCNF_T),growth_rate(efficient_producers,skolemFOFtoCNF_T))) ),
inference(subst,[],[refute_0_65:[bind(T,$fot(skolemFOFtoCNF_T))]]) ).
cnf(refute_0_67,plain,
( ~ environment(E)
| ~ subpopulations(first_movers,efficient_producers,E,T)
| decreases(difference(founding_rate(first_movers,T),founding_rate(efficient_producers,T))) ),
inference(canonicalize,[],[normalize_0_43]) ).
cnf(refute_0_68,plain,
( ~ environment(skolemFOFtoCNF_E)
| ~ subpopulations(first_movers,efficient_producers,skolemFOFtoCNF_E,skolemFOFtoCNF_T)
| decreases(difference(founding_rate(first_movers,skolemFOFtoCNF_T),founding_rate(efficient_producers,skolemFOFtoCNF_T))) ),
inference(subst,[],[refute_0_67:[bind(E,$fot(skolemFOFtoCNF_E)),bind(T,$fot(skolemFOFtoCNF_T))]]) ).
cnf(refute_0_69,plain,
( ~ environment(skolemFOFtoCNF_E)
| critical_point(skolemFOFtoCNF_E) = appear(efficient_producers,skolemFOFtoCNF_E)
| decreases(difference(founding_rate(first_movers,skolemFOFtoCNF_T),founding_rate(efficient_producers,skolemFOFtoCNF_T))) ),
inference(resolve,[$cnf( subpopulations(first_movers,efficient_producers,skolemFOFtoCNF_E,skolemFOFtoCNF_T) )],[refute_0_49,refute_0_68]) ).
cnf(refute_0_70,plain,
( critical_point(skolemFOFtoCNF_E) = appear(efficient_producers,skolemFOFtoCNF_E)
| decreases(difference(founding_rate(first_movers,skolemFOFtoCNF_T),founding_rate(efficient_producers,skolemFOFtoCNF_T))) ),
inference(resolve,[$cnf( environment(skolemFOFtoCNF_E) )],[refute_0_10,refute_0_69]) ).
cnf(refute_0_71,plain,
( critical_point(skolemFOFtoCNF_E) = appear(efficient_producers,skolemFOFtoCNF_E)
| decreases(difference(disbanding_rate(first_movers,skolemFOFtoCNF_T),disbanding_rate(efficient_producers,skolemFOFtoCNF_T)))
| decreases(difference(growth_rate(first_movers,skolemFOFtoCNF_T),growth_rate(efficient_producers,skolemFOFtoCNF_T))) ),
inference(resolve,[$cnf( decreases(difference(founding_rate(first_movers,skolemFOFtoCNF_T),founding_rate(efficient_producers,skolemFOFtoCNF_T))) )],[refute_0_70,refute_0_66]) ).
cnf(refute_0_72,plain,
( ~ environment(E)
| ~ subpopulations(first_movers,efficient_producers,E,T)
| greater(zero,difference(growth_rate(first_movers,T),growth_rate(efficient_producers,T)))
| greater_or_equal(difference(growth_rate(first_movers,T),growth_rate(efficient_producers,T)),zero) ),
inference(canonicalize,[],[normalize_0_45]) ).
cnf(refute_0_73,plain,
( ~ environment(skolemFOFtoCNF_E)
| ~ subpopulations(first_movers,efficient_producers,skolemFOFtoCNF_E,critical_point(skolemFOFtoCNF_E))
| greater(zero,difference(growth_rate(first_movers,critical_point(skolemFOFtoCNF_E)),growth_rate(efficient_producers,critical_point(skolemFOFtoCNF_E))))
| greater_or_equal(difference(growth_rate(first_movers,critical_point(skolemFOFtoCNF_E)),growth_rate(efficient_producers,critical_point(skolemFOFtoCNF_E))),zero) ),
inference(subst,[],[refute_0_72:[bind(E,$fot(skolemFOFtoCNF_E)),bind(T,$fot(critical_point(skolemFOFtoCNF_E)))]]) ).
cnf(refute_0_74,plain,
( ~ environment(skolemFOFtoCNF_E)
| greater(zero,difference(growth_rate(first_movers,critical_point(skolemFOFtoCNF_E)),growth_rate(efficient_producers,critical_point(skolemFOFtoCNF_E))))
| greater_or_equal(difference(growth_rate(first_movers,critical_point(skolemFOFtoCNF_E)),growth_rate(efficient_producers,critical_point(skolemFOFtoCNF_E))),zero) ),
inference(resolve,[$cnf( subpopulations(first_movers,efficient_producers,skolemFOFtoCNF_E,critical_point(skolemFOFtoCNF_E)) )],[refute_0_11,refute_0_73]) ).
cnf(refute_0_75,plain,
( greater(zero,difference(growth_rate(first_movers,critical_point(skolemFOFtoCNF_E)),growth_rate(efficient_producers,critical_point(skolemFOFtoCNF_E))))
| greater_or_equal(difference(growth_rate(first_movers,critical_point(skolemFOFtoCNF_E)),growth_rate(efficient_producers,critical_point(skolemFOFtoCNF_E))),zero) ),
inference(resolve,[$cnf( environment(skolemFOFtoCNF_E) )],[refute_0_10,refute_0_74]) ).
cnf(refute_0_76,plain,
( ~ decreases(difference(growth_rate(first_movers,T),growth_rate(efficient_producers,T)))
| ~ environment(E)
| ~ greater(To,T)
| ~ greater_or_equal(T,appear(efficient_producers,E))
| ~ greater_or_equal(difference(growth_rate(first_movers,To),growth_rate(efficient_producers,To)),zero)
| ~ in_environment(E,To)
| greater(difference(growth_rate(first_movers,T),growth_rate(efficient_producers,T)),zero) ),
inference(canonicalize,[],[normalize_0_47]) ).
cnf(refute_0_77,plain,
( ~ decreases(difference(growth_rate(first_movers,X_141),growth_rate(efficient_producers,X_141)))
| ~ environment(X_140)
| ~ greater(critical_point(skolemFOFtoCNF_E),X_141)
| ~ greater_or_equal(X_141,appear(efficient_producers,X_140))
| ~ greater_or_equal(difference(growth_rate(first_movers,critical_point(skolemFOFtoCNF_E)),growth_rate(efficient_producers,critical_point(skolemFOFtoCNF_E))),zero)
| ~ in_environment(X_140,critical_point(skolemFOFtoCNF_E))
| greater(difference(growth_rate(first_movers,X_141),growth_rate(efficient_producers,X_141)),zero) ),
inference(subst,[],[refute_0_76:[bind(E,$fot(X_140)),bind(T,$fot(X_141)),bind(To,$fot(critical_point(skolemFOFtoCNF_E)))]]) ).
cnf(refute_0_78,plain,
( ~ decreases(difference(growth_rate(first_movers,X_141),growth_rate(efficient_producers,X_141)))
| ~ environment(X_140)
| ~ greater(critical_point(skolemFOFtoCNF_E),X_141)
| ~ greater_or_equal(X_141,appear(efficient_producers,X_140))
| ~ in_environment(X_140,critical_point(skolemFOFtoCNF_E))
| greater(difference(growth_rate(first_movers,X_141),growth_rate(efficient_producers,X_141)),zero)
| greater(zero,difference(growth_rate(first_movers,critical_point(skolemFOFtoCNF_E)),growth_rate(efficient_producers,critical_point(skolemFOFtoCNF_E)))) ),
inference(resolve,[$cnf( greater_or_equal(difference(growth_rate(first_movers,critical_point(skolemFOFtoCNF_E)),growth_rate(efficient_producers,critical_point(skolemFOFtoCNF_E))),zero) )],[refute_0_75,refute_0_77]) ).
cnf(refute_0_79,plain,
( ~ decreases(difference(growth_rate(first_movers,skolemFOFtoCNF_T),growth_rate(efficient_producers,skolemFOFtoCNF_T)))
| ~ environment(X_165)
| ~ greater(critical_point(skolemFOFtoCNF_E),skolemFOFtoCNF_T)
| ~ greater_or_equal(skolemFOFtoCNF_T,appear(efficient_producers,X_165))
| ~ in_environment(X_165,critical_point(skolemFOFtoCNF_E))
| greater(difference(growth_rate(first_movers,skolemFOFtoCNF_T),growth_rate(efficient_producers,skolemFOFtoCNF_T)),zero)
| greater(zero,difference(growth_rate(first_movers,critical_point(skolemFOFtoCNF_E)),growth_rate(efficient_producers,critical_point(skolemFOFtoCNF_E)))) ),
inference(subst,[],[refute_0_78:[bind(X_140,$fot(X_165)),bind(X_141,$fot(skolemFOFtoCNF_T))]]) ).
cnf(refute_0_80,plain,
( ~ environment(X_165)
| ~ greater(critical_point(skolemFOFtoCNF_E),skolemFOFtoCNF_T)
| ~ greater_or_equal(skolemFOFtoCNF_T,appear(efficient_producers,X_165))
| ~ in_environment(X_165,critical_point(skolemFOFtoCNF_E))
| critical_point(skolemFOFtoCNF_E) = appear(efficient_producers,skolemFOFtoCNF_E)
| decreases(difference(disbanding_rate(first_movers,skolemFOFtoCNF_T),disbanding_rate(efficient_producers,skolemFOFtoCNF_T)))
| greater(difference(growth_rate(first_movers,skolemFOFtoCNF_T),growth_rate(efficient_producers,skolemFOFtoCNF_T)),zero)
| greater(zero,difference(growth_rate(first_movers,critical_point(skolemFOFtoCNF_E)),growth_rate(efficient_producers,critical_point(skolemFOFtoCNF_E)))) ),
inference(resolve,[$cnf( decreases(difference(growth_rate(first_movers,skolemFOFtoCNF_T),growth_rate(efficient_producers,skolemFOFtoCNF_T))) )],[refute_0_71,refute_0_79]) ).
cnf(refute_0_81,plain,
( ~ environment(X_165)
| ~ greater_or_equal(skolemFOFtoCNF_T,appear(efficient_producers,X_165))
| ~ in_environment(X_165,critical_point(skolemFOFtoCNF_E))
| critical_point(skolemFOFtoCNF_E) = appear(efficient_producers,skolemFOFtoCNF_E)
| decreases(difference(disbanding_rate(first_movers,skolemFOFtoCNF_T),disbanding_rate(efficient_producers,skolemFOFtoCNF_T)))
| greater(difference(growth_rate(first_movers,skolemFOFtoCNF_T),growth_rate(efficient_producers,skolemFOFtoCNF_T)),zero)
| greater(zero,difference(growth_rate(first_movers,critical_point(skolemFOFtoCNF_E)),growth_rate(efficient_producers,critical_point(skolemFOFtoCNF_E)))) ),
inference(resolve,[$cnf( greater(critical_point(skolemFOFtoCNF_E),skolemFOFtoCNF_T) )],[refute_0_2,refute_0_80]) ).
cnf(refute_0_82,plain,
( ~ environment(skolemFOFtoCNF_E)
| ~ greater_or_equal(skolemFOFtoCNF_T,appear(efficient_producers,skolemFOFtoCNF_E))
| ~ in_environment(skolemFOFtoCNF_E,critical_point(skolemFOFtoCNF_E))
| critical_point(skolemFOFtoCNF_E) = appear(efficient_producers,skolemFOFtoCNF_E)
| decreases(difference(disbanding_rate(first_movers,skolemFOFtoCNF_T),disbanding_rate(efficient_producers,skolemFOFtoCNF_T)))
| greater(difference(growth_rate(first_movers,skolemFOFtoCNF_T),growth_rate(efficient_producers,skolemFOFtoCNF_T)),zero)
| greater(zero,difference(growth_rate(first_movers,critical_point(skolemFOFtoCNF_E)),growth_rate(efficient_producers,critical_point(skolemFOFtoCNF_E)))) ),
inference(subst,[],[refute_0_81:[bind(X_165,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_83,plain,
( ~ environment(skolemFOFtoCNF_E)
| ~ in_environment(skolemFOFtoCNF_E,critical_point(skolemFOFtoCNF_E))
| critical_point(skolemFOFtoCNF_E) = appear(efficient_producers,skolemFOFtoCNF_E)
| decreases(difference(disbanding_rate(first_movers,skolemFOFtoCNF_T),disbanding_rate(efficient_producers,skolemFOFtoCNF_T)))
| greater(difference(growth_rate(first_movers,skolemFOFtoCNF_T),growth_rate(efficient_producers,skolemFOFtoCNF_T)),zero)
| greater(zero,difference(growth_rate(first_movers,critical_point(skolemFOFtoCNF_E)),growth_rate(efficient_producers,critical_point(skolemFOFtoCNF_E)))) ),
inference(resolve,[$cnf( greater_or_equal(skolemFOFtoCNF_T,appear(efficient_producers,skolemFOFtoCNF_E)) )],[refute_0_18,refute_0_82]) ).
cnf(refute_0_84,plain,
( ~ in_environment(skolemFOFtoCNF_E,critical_point(skolemFOFtoCNF_E))
| critical_point(skolemFOFtoCNF_E) = appear(efficient_producers,skolemFOFtoCNF_E)
| decreases(difference(disbanding_rate(first_movers,skolemFOFtoCNF_T),disbanding_rate(efficient_producers,skolemFOFtoCNF_T)))
| greater(difference(growth_rate(first_movers,skolemFOFtoCNF_T),growth_rate(efficient_producers,skolemFOFtoCNF_T)),zero)
| greater(zero,difference(growth_rate(first_movers,critical_point(skolemFOFtoCNF_E)),growth_rate(efficient_producers,critical_point(skolemFOFtoCNF_E)))) ),
inference(resolve,[$cnf( environment(skolemFOFtoCNF_E) )],[refute_0_10,refute_0_83]) ).
cnf(refute_0_85,plain,
( critical_point(skolemFOFtoCNF_E) = appear(efficient_producers,skolemFOFtoCNF_E)
| decreases(difference(disbanding_rate(first_movers,skolemFOFtoCNF_T),disbanding_rate(efficient_producers,skolemFOFtoCNF_T)))
| greater(difference(growth_rate(first_movers,skolemFOFtoCNF_T),growth_rate(efficient_producers,skolemFOFtoCNF_T)),zero)
| greater(zero,difference(growth_rate(first_movers,critical_point(skolemFOFtoCNF_E)),growth_rate(efficient_producers,critical_point(skolemFOFtoCNF_E)))) ),
inference(resolve,[$cnf( in_environment(skolemFOFtoCNF_E,critical_point(skolemFOFtoCNF_E)) )],[refute_0_6,refute_0_84]) ).
cnf(refute_0_86,plain,
( critical_point(skolemFOFtoCNF_E) = appear(efficient_producers,skolemFOFtoCNF_E)
| decreases(difference(disbanding_rate(first_movers,skolemFOFtoCNF_T),disbanding_rate(efficient_producers,skolemFOFtoCNF_T)))
| greater(difference(growth_rate(first_movers,skolemFOFtoCNF_T),growth_rate(efficient_producers,skolemFOFtoCNF_T)),zero)
| greater(growth_rate(efficient_producers,critical_point(skolemFOFtoCNF_E)),growth_rate(first_movers,critical_point(skolemFOFtoCNF_E))) ),
inference(resolve,[$cnf( greater(zero,difference(growth_rate(first_movers,critical_point(skolemFOFtoCNF_E)),growth_rate(efficient_producers,critical_point(skolemFOFtoCNF_E)))) )],[refute_0_85,refute_0_64]) ).
cnf(refute_0_87,plain,
( critical_point(skolemFOFtoCNF_E) = appear(efficient_producers,skolemFOFtoCNF_E)
| decreases(difference(disbanding_rate(first_movers,skolemFOFtoCNF_T),disbanding_rate(efficient_producers,skolemFOFtoCNF_T)))
| greater(growth_rate(efficient_producers,critical_point(skolemFOFtoCNF_E)),growth_rate(first_movers,critical_point(skolemFOFtoCNF_E)))
| greater(growth_rate(first_movers,skolemFOFtoCNF_T),growth_rate(efficient_producers,skolemFOFtoCNF_T)) ),
inference(resolve,[$cnf( greater(difference(growth_rate(first_movers,skolemFOFtoCNF_T),growth_rate(efficient_producers,skolemFOFtoCNF_T)),zero) )],[refute_0_86,refute_0_62]) ).
cnf(refute_0_88,plain,
( ~ environment(skolemFOFtoCNF_E)
| critical_point(skolemFOFtoCNF_E) = appear(efficient_producers,skolemFOFtoCNF_E)
| decreases(difference(disbanding_rate(first_movers,skolemFOFtoCNF_T),disbanding_rate(efficient_producers,skolemFOFtoCNF_T)))
| greater(growth_rate(first_movers,skolemFOFtoCNF_T),growth_rate(efficient_producers,skolemFOFtoCNF_T)) ),
inference(resolve,[$cnf( greater(growth_rate(efficient_producers,critical_point(skolemFOFtoCNF_E)),growth_rate(first_movers,critical_point(skolemFOFtoCNF_E))) )],[refute_0_87,refute_0_60]) ).
cnf(refute_0_89,plain,
( critical_point(skolemFOFtoCNF_E) = appear(efficient_producers,skolemFOFtoCNF_E)
| decreases(difference(disbanding_rate(first_movers,skolemFOFtoCNF_T),disbanding_rate(efficient_producers,skolemFOFtoCNF_T)))
| greater(growth_rate(first_movers,skolemFOFtoCNF_T),growth_rate(efficient_producers,skolemFOFtoCNF_T)) ),
inference(resolve,[$cnf( environment(skolemFOFtoCNF_E) )],[refute_0_10,refute_0_88]) ).
cnf(refute_0_90,plain,
( ~ environment(E)
| ~ subpopulations(first_movers,efficient_producers,E,skolemFOFtoCNF_T)
| critical_point(skolemFOFtoCNF_E) = appear(efficient_producers,skolemFOFtoCNF_E)
| greater(growth_rate(first_movers,skolemFOFtoCNF_T),growth_rate(efficient_producers,skolemFOFtoCNF_T)) ),
inference(resolve,[$cnf( decreases(difference(disbanding_rate(first_movers,skolemFOFtoCNF_T),disbanding_rate(efficient_producers,skolemFOFtoCNF_T))) )],[refute_0_89,refute_0_55]) ).
cnf(refute_0_91,plain,
( ~ environment(skolemFOFtoCNF_E)
| ~ subpopulations(first_movers,efficient_producers,skolemFOFtoCNF_E,skolemFOFtoCNF_T)
| critical_point(skolemFOFtoCNF_E) = appear(efficient_producers,skolemFOFtoCNF_E)
| greater(growth_rate(first_movers,skolemFOFtoCNF_T),growth_rate(efficient_producers,skolemFOFtoCNF_T)) ),
inference(subst,[],[refute_0_90:[bind(E,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_92,plain,
( ~ environment(skolemFOFtoCNF_E)
| critical_point(skolemFOFtoCNF_E) = appear(efficient_producers,skolemFOFtoCNF_E)
| greater(growth_rate(first_movers,skolemFOFtoCNF_T),growth_rate(efficient_producers,skolemFOFtoCNF_T)) ),
inference(resolve,[$cnf( subpopulations(first_movers,efficient_producers,skolemFOFtoCNF_E,skolemFOFtoCNF_T) )],[refute_0_49,refute_0_91]) ).
cnf(refute_0_93,plain,
( critical_point(skolemFOFtoCNF_E) = appear(efficient_producers,skolemFOFtoCNF_E)
| greater(growth_rate(first_movers,skolemFOFtoCNF_T),growth_rate(efficient_producers,skolemFOFtoCNF_T)) ),
inference(resolve,[$cnf( environment(skolemFOFtoCNF_E) )],[refute_0_10,refute_0_92]) ).
cnf(refute_0_94,plain,
( ~ environment(E)
| ~ subpopulations(efficient_producers,first_movers,E,skolemFOFtoCNF_T)
| critical_point(skolemFOFtoCNF_E) = appear(efficient_producers,skolemFOFtoCNF_E)
| selection_favors(first_movers,efficient_producers,skolemFOFtoCNF_T) ),
inference(resolve,[$cnf( greater(growth_rate(first_movers,skolemFOFtoCNF_T),growth_rate(efficient_producers,skolemFOFtoCNF_T)) )],[refute_0_93,refute_0_53]) ).
cnf(refute_0_95,plain,
~ selection_favors(first_movers,efficient_producers,skolemFOFtoCNF_T),
inference(canonicalize,[],[normalize_0_48]) ).
cnf(refute_0_96,plain,
( ~ environment(E)
| ~ subpopulations(efficient_producers,first_movers,E,skolemFOFtoCNF_T)
| critical_point(skolemFOFtoCNF_E) = appear(efficient_producers,skolemFOFtoCNF_E) ),
inference(resolve,[$cnf( selection_favors(first_movers,efficient_producers,skolemFOFtoCNF_T) )],[refute_0_94,refute_0_95]) ).
cnf(refute_0_97,plain,
( ~ environment(skolemFOFtoCNF_E)
| ~ subpopulations(efficient_producers,first_movers,skolemFOFtoCNF_E,skolemFOFtoCNF_T)
| critical_point(skolemFOFtoCNF_E) = appear(efficient_producers,skolemFOFtoCNF_E) ),
inference(subst,[],[refute_0_96:[bind(E,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_98,plain,
( ~ environment(skolemFOFtoCNF_E)
| critical_point(skolemFOFtoCNF_E) = appear(efficient_producers,skolemFOFtoCNF_E) ),
inference(resolve,[$cnf( subpopulations(efficient_producers,first_movers,skolemFOFtoCNF_E,skolemFOFtoCNF_T) )],[refute_0_51,refute_0_97]) ).
cnf(refute_0_99,plain,
critical_point(skolemFOFtoCNF_E) = appear(efficient_producers,skolemFOFtoCNF_E),
inference(resolve,[$cnf( environment(skolemFOFtoCNF_E) )],[refute_0_10,refute_0_98]) ).
cnf(refute_0_100,plain,
X0 = X0,
introduced(tautology,[refl,[$fot(X0)]]) ).
cnf(refute_0_101,plain,
( X0 != X0
| X0 != Y0
| Y0 = X0 ),
introduced(tautology,[equality,[$cnf( $equal(X0,X0) ),[0],$fot(Y0)]]) ).
cnf(refute_0_102,plain,
( X0 != Y0
| Y0 = X0 ),
inference(resolve,[$cnf( $equal(X0,X0) )],[refute_0_100,refute_0_101]) ).
cnf(refute_0_103,plain,
( critical_point(skolemFOFtoCNF_E) != appear(efficient_producers,skolemFOFtoCNF_E)
| appear(efficient_producers,skolemFOFtoCNF_E) = critical_point(skolemFOFtoCNF_E) ),
inference(subst,[],[refute_0_102:[bind(X0,$fot(critical_point(skolemFOFtoCNF_E))),bind(Y0,$fot(appear(efficient_producers,skolemFOFtoCNF_E)))]]) ).
cnf(refute_0_104,plain,
appear(efficient_producers,skolemFOFtoCNF_E) = critical_point(skolemFOFtoCNF_E),
inference(resolve,[$cnf( $equal(critical_point(skolemFOFtoCNF_E),appear(efficient_producers,skolemFOFtoCNF_E)) )],[refute_0_99,refute_0_103]) ).
cnf(refute_0_105,plain,
( appear(efficient_producers,skolemFOFtoCNF_E) != critical_point(skolemFOFtoCNF_E)
| ~ greater_or_equal(skolemFOFtoCNF_T,appear(efficient_producers,skolemFOFtoCNF_E))
| greater_or_equal(skolemFOFtoCNF_T,critical_point(skolemFOFtoCNF_E)) ),
introduced(tautology,[equality,[$cnf( greater_or_equal(skolemFOFtoCNF_T,appear(efficient_producers,skolemFOFtoCNF_E)) ),[1],$fot(critical_point(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_106,plain,
( ~ greater_or_equal(skolemFOFtoCNF_T,appear(efficient_producers,skolemFOFtoCNF_E))
| greater_or_equal(skolemFOFtoCNF_T,critical_point(skolemFOFtoCNF_E)) ),
inference(resolve,[$cnf( $equal(appear(efficient_producers,skolemFOFtoCNF_E),critical_point(skolemFOFtoCNF_E)) )],[refute_0_104,refute_0_105]) ).
cnf(refute_0_107,plain,
greater_or_equal(skolemFOFtoCNF_T,critical_point(skolemFOFtoCNF_E)),
inference(resolve,[$cnf( greater_or_equal(skolemFOFtoCNF_T,appear(efficient_producers,skolemFOFtoCNF_E)) )],[refute_0_18,refute_0_106]) ).
cnf(refute_0_108,plain,
subpopulations(first_movers,efficient_producers,skolemFOFtoCNF_E,skolemFOFtoCNF_T),
inference(resolve,[$cnf( greater_or_equal(skolemFOFtoCNF_T,critical_point(skolemFOFtoCNF_E)) )],[refute_0_107,refute_0_17]) ).
cnf(refute_0_109,plain,
( ~ environment(skolemFOFtoCNF_E)
| subpopulations(efficient_producers,first_movers,skolemFOFtoCNF_E,skolemFOFtoCNF_T) ),
inference(resolve,[$cnf( subpopulations(first_movers,efficient_producers,skolemFOFtoCNF_E,skolemFOFtoCNF_T) )],[refute_0_108,refute_0_1]) ).
cnf(refute_0_110,plain,
subpopulations(efficient_producers,first_movers,skolemFOFtoCNF_E,skolemFOFtoCNF_T),
inference(resolve,[$cnf( environment(skolemFOFtoCNF_E) )],[refute_0_10,refute_0_109]) ).
cnf(refute_0_111,plain,
( ~ decreases(difference(growth_rate(first_movers,skolemFOFtoCNF_T),growth_rate(efficient_producers,skolemFOFtoCNF_T)))
| ~ environment(X_140)
| ~ greater(critical_point(skolemFOFtoCNF_E),skolemFOFtoCNF_T)
| ~ greater_or_equal(skolemFOFtoCNF_T,appear(efficient_producers,X_140))
| ~ in_environment(X_140,critical_point(skolemFOFtoCNF_E))
| greater(difference(growth_rate(first_movers,skolemFOFtoCNF_T),growth_rate(efficient_producers,skolemFOFtoCNF_T)),zero)
| greater(zero,difference(growth_rate(first_movers,critical_point(skolemFOFtoCNF_E)),growth_rate(efficient_producers,critical_point(skolemFOFtoCNF_E)))) ),
inference(subst,[],[refute_0_78:[bind(X_141,$fot(skolemFOFtoCNF_T))]]) ).
cnf(refute_0_112,plain,
( ~ environment(skolemFOFtoCNF_E)
| decreases(difference(founding_rate(first_movers,skolemFOFtoCNF_T),founding_rate(efficient_producers,skolemFOFtoCNF_T))) ),
inference(resolve,[$cnf( subpopulations(first_movers,efficient_producers,skolemFOFtoCNF_E,skolemFOFtoCNF_T) )],[refute_0_108,refute_0_68]) ).
cnf(refute_0_113,plain,
decreases(difference(founding_rate(first_movers,skolemFOFtoCNF_T),founding_rate(efficient_producers,skolemFOFtoCNF_T))),
inference(resolve,[$cnf( environment(skolemFOFtoCNF_E) )],[refute_0_10,refute_0_112]) ).
cnf(refute_0_114,plain,
( decreases(difference(disbanding_rate(first_movers,skolemFOFtoCNF_T),disbanding_rate(efficient_producers,skolemFOFtoCNF_T)))
| decreases(difference(growth_rate(first_movers,skolemFOFtoCNF_T),growth_rate(efficient_producers,skolemFOFtoCNF_T))) ),
inference(resolve,[$cnf( decreases(difference(founding_rate(first_movers,skolemFOFtoCNF_T),founding_rate(efficient_producers,skolemFOFtoCNF_T))) )],[refute_0_113,refute_0_66]) ).
cnf(refute_0_115,plain,
( ~ environment(X_140)
| ~ greater(critical_point(skolemFOFtoCNF_E),skolemFOFtoCNF_T)
| ~ greater_or_equal(skolemFOFtoCNF_T,appear(efficient_producers,X_140))
| ~ in_environment(X_140,critical_point(skolemFOFtoCNF_E))
| decreases(difference(disbanding_rate(first_movers,skolemFOFtoCNF_T),disbanding_rate(efficient_producers,skolemFOFtoCNF_T)))
| greater(difference(growth_rate(first_movers,skolemFOFtoCNF_T),growth_rate(efficient_producers,skolemFOFtoCNF_T)),zero)
| greater(zero,difference(growth_rate(first_movers,critical_point(skolemFOFtoCNF_E)),growth_rate(efficient_producers,critical_point(skolemFOFtoCNF_E)))) ),
inference(resolve,[$cnf( decreases(difference(growth_rate(first_movers,skolemFOFtoCNF_T),growth_rate(efficient_producers,skolemFOFtoCNF_T))) )],[refute_0_114,refute_0_111]) ).
cnf(refute_0_116,plain,
( ~ environment(X_140)
| ~ greater_or_equal(skolemFOFtoCNF_T,appear(efficient_producers,X_140))
| ~ in_environment(X_140,critical_point(skolemFOFtoCNF_E))
| decreases(difference(disbanding_rate(first_movers,skolemFOFtoCNF_T),disbanding_rate(efficient_producers,skolemFOFtoCNF_T)))
| greater(difference(growth_rate(first_movers,skolemFOFtoCNF_T),growth_rate(efficient_producers,skolemFOFtoCNF_T)),zero)
| greater(zero,difference(growth_rate(first_movers,critical_point(skolemFOFtoCNF_E)),growth_rate(efficient_producers,critical_point(skolemFOFtoCNF_E)))) ),
inference(resolve,[$cnf( greater(critical_point(skolemFOFtoCNF_E),skolemFOFtoCNF_T) )],[refute_0_2,refute_0_115]) ).
cnf(refute_0_117,plain,
( ~ environment(skolemFOFtoCNF_E)
| ~ greater_or_equal(skolemFOFtoCNF_T,appear(efficient_producers,skolemFOFtoCNF_E))
| ~ in_environment(skolemFOFtoCNF_E,critical_point(skolemFOFtoCNF_E))
| decreases(difference(disbanding_rate(first_movers,skolemFOFtoCNF_T),disbanding_rate(efficient_producers,skolemFOFtoCNF_T)))
| greater(difference(growth_rate(first_movers,skolemFOFtoCNF_T),growth_rate(efficient_producers,skolemFOFtoCNF_T)),zero)
| greater(zero,difference(growth_rate(first_movers,critical_point(skolemFOFtoCNF_E)),growth_rate(efficient_producers,critical_point(skolemFOFtoCNF_E)))) ),
inference(subst,[],[refute_0_116:[bind(X_140,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_118,plain,
( appear(efficient_producers,skolemFOFtoCNF_E) != critical_point(skolemFOFtoCNF_E)
| ~ greater_or_equal(skolemFOFtoCNF_T,critical_point(skolemFOFtoCNF_E))
| greater_or_equal(skolemFOFtoCNF_T,appear(efficient_producers,skolemFOFtoCNF_E)) ),
introduced(tautology,[equality,[$cnf( ~ greater_or_equal(skolemFOFtoCNF_T,appear(efficient_producers,skolemFOFtoCNF_E)) ),[1],$fot(critical_point(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_119,plain,
( ~ greater_or_equal(skolemFOFtoCNF_T,critical_point(skolemFOFtoCNF_E))
| greater_or_equal(skolemFOFtoCNF_T,appear(efficient_producers,skolemFOFtoCNF_E)) ),
inference(resolve,[$cnf( $equal(appear(efficient_producers,skolemFOFtoCNF_E),critical_point(skolemFOFtoCNF_E)) )],[refute_0_104,refute_0_118]) ).
cnf(refute_0_120,plain,
( ~ environment(skolemFOFtoCNF_E)
| ~ greater_or_equal(skolemFOFtoCNF_T,critical_point(skolemFOFtoCNF_E))
| ~ in_environment(skolemFOFtoCNF_E,critical_point(skolemFOFtoCNF_E))
| decreases(difference(disbanding_rate(first_movers,skolemFOFtoCNF_T),disbanding_rate(efficient_producers,skolemFOFtoCNF_T)))
| greater(difference(growth_rate(first_movers,skolemFOFtoCNF_T),growth_rate(efficient_producers,skolemFOFtoCNF_T)),zero)
| greater(zero,difference(growth_rate(first_movers,critical_point(skolemFOFtoCNF_E)),growth_rate(efficient_producers,critical_point(skolemFOFtoCNF_E)))) ),
inference(resolve,[$cnf( greater_or_equal(skolemFOFtoCNF_T,appear(efficient_producers,skolemFOFtoCNF_E)) )],[refute_0_119,refute_0_117]) ).
cnf(refute_0_121,plain,
( ~ greater_or_equal(skolemFOFtoCNF_T,critical_point(skolemFOFtoCNF_E))
| ~ in_environment(skolemFOFtoCNF_E,critical_point(skolemFOFtoCNF_E))
| decreases(difference(disbanding_rate(first_movers,skolemFOFtoCNF_T),disbanding_rate(efficient_producers,skolemFOFtoCNF_T)))
| greater(difference(growth_rate(first_movers,skolemFOFtoCNF_T),growth_rate(efficient_producers,skolemFOFtoCNF_T)),zero)
| greater(zero,difference(growth_rate(first_movers,critical_point(skolemFOFtoCNF_E)),growth_rate(efficient_producers,critical_point(skolemFOFtoCNF_E)))) ),
inference(resolve,[$cnf( environment(skolemFOFtoCNF_E) )],[refute_0_10,refute_0_120]) ).
cnf(refute_0_122,plain,
( ~ in_environment(skolemFOFtoCNF_E,critical_point(skolemFOFtoCNF_E))
| decreases(difference(disbanding_rate(first_movers,skolemFOFtoCNF_T),disbanding_rate(efficient_producers,skolemFOFtoCNF_T)))
| greater(difference(growth_rate(first_movers,skolemFOFtoCNF_T),growth_rate(efficient_producers,skolemFOFtoCNF_T)),zero)
| greater(zero,difference(growth_rate(first_movers,critical_point(skolemFOFtoCNF_E)),growth_rate(efficient_producers,critical_point(skolemFOFtoCNF_E)))) ),
inference(resolve,[$cnf( greater_or_equal(skolemFOFtoCNF_T,critical_point(skolemFOFtoCNF_E)) )],[refute_0_107,refute_0_121]) ).
cnf(refute_0_123,plain,
( decreases(difference(disbanding_rate(first_movers,skolemFOFtoCNF_T),disbanding_rate(efficient_producers,skolemFOFtoCNF_T)))
| greater(difference(growth_rate(first_movers,skolemFOFtoCNF_T),growth_rate(efficient_producers,skolemFOFtoCNF_T)),zero)
| greater(zero,difference(growth_rate(first_movers,critical_point(skolemFOFtoCNF_E)),growth_rate(efficient_producers,critical_point(skolemFOFtoCNF_E)))) ),
inference(resolve,[$cnf( in_environment(skolemFOFtoCNF_E,critical_point(skolemFOFtoCNF_E)) )],[refute_0_6,refute_0_122]) ).
cnf(refute_0_124,plain,
( decreases(difference(disbanding_rate(first_movers,skolemFOFtoCNF_T),disbanding_rate(efficient_producers,skolemFOFtoCNF_T)))
| greater(difference(growth_rate(first_movers,skolemFOFtoCNF_T),growth_rate(efficient_producers,skolemFOFtoCNF_T)),zero)
| greater(growth_rate(efficient_producers,critical_point(skolemFOFtoCNF_E)),growth_rate(first_movers,critical_point(skolemFOFtoCNF_E))) ),
inference(resolve,[$cnf( greater(zero,difference(growth_rate(first_movers,critical_point(skolemFOFtoCNF_E)),growth_rate(efficient_producers,critical_point(skolemFOFtoCNF_E)))) )],[refute_0_123,refute_0_64]) ).
cnf(refute_0_125,plain,
( decreases(difference(disbanding_rate(first_movers,skolemFOFtoCNF_T),disbanding_rate(efficient_producers,skolemFOFtoCNF_T)))
| greater(growth_rate(efficient_producers,critical_point(skolemFOFtoCNF_E)),growth_rate(first_movers,critical_point(skolemFOFtoCNF_E)))
| greater(growth_rate(first_movers,skolemFOFtoCNF_T),growth_rate(efficient_producers,skolemFOFtoCNF_T)) ),
inference(resolve,[$cnf( greater(difference(growth_rate(first_movers,skolemFOFtoCNF_T),growth_rate(efficient_producers,skolemFOFtoCNF_T)),zero) )],[refute_0_124,refute_0_62]) ).
cnf(refute_0_126,plain,
( ~ environment(skolemFOFtoCNF_E)
| decreases(difference(disbanding_rate(first_movers,skolemFOFtoCNF_T),disbanding_rate(efficient_producers,skolemFOFtoCNF_T)))
| greater(growth_rate(first_movers,skolemFOFtoCNF_T),growth_rate(efficient_producers,skolemFOFtoCNF_T)) ),
inference(resolve,[$cnf( greater(growth_rate(efficient_producers,critical_point(skolemFOFtoCNF_E)),growth_rate(first_movers,critical_point(skolemFOFtoCNF_E))) )],[refute_0_125,refute_0_60]) ).
cnf(refute_0_127,plain,
( decreases(difference(disbanding_rate(first_movers,skolemFOFtoCNF_T),disbanding_rate(efficient_producers,skolemFOFtoCNF_T)))
| greater(growth_rate(first_movers,skolemFOFtoCNF_T),growth_rate(efficient_producers,skolemFOFtoCNF_T)) ),
inference(resolve,[$cnf( environment(skolemFOFtoCNF_E) )],[refute_0_10,refute_0_126]) ).
cnf(refute_0_128,plain,
( ~ environment(E)
| ~ subpopulations(first_movers,efficient_producers,E,skolemFOFtoCNF_T)
| greater(growth_rate(first_movers,skolemFOFtoCNF_T),growth_rate(efficient_producers,skolemFOFtoCNF_T)) ),
inference(resolve,[$cnf( decreases(difference(disbanding_rate(first_movers,skolemFOFtoCNF_T),disbanding_rate(efficient_producers,skolemFOFtoCNF_T))) )],[refute_0_127,refute_0_55]) ).
cnf(refute_0_129,plain,
( ~ environment(skolemFOFtoCNF_E)
| ~ subpopulations(first_movers,efficient_producers,skolemFOFtoCNF_E,skolemFOFtoCNF_T)
| greater(growth_rate(first_movers,skolemFOFtoCNF_T),growth_rate(efficient_producers,skolemFOFtoCNF_T)) ),
inference(subst,[],[refute_0_128:[bind(E,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_130,plain,
( ~ environment(skolemFOFtoCNF_E)
| greater(growth_rate(first_movers,skolemFOFtoCNF_T),growth_rate(efficient_producers,skolemFOFtoCNF_T)) ),
inference(resolve,[$cnf( subpopulations(first_movers,efficient_producers,skolemFOFtoCNF_E,skolemFOFtoCNF_T) )],[refute_0_108,refute_0_129]) ).
cnf(refute_0_131,plain,
greater(growth_rate(first_movers,skolemFOFtoCNF_T),growth_rate(efficient_producers,skolemFOFtoCNF_T)),
inference(resolve,[$cnf( environment(skolemFOFtoCNF_E) )],[refute_0_10,refute_0_130]) ).
cnf(refute_0_132,plain,
( ~ environment(E)
| ~ subpopulations(efficient_producers,first_movers,E,skolemFOFtoCNF_T)
| selection_favors(first_movers,efficient_producers,skolemFOFtoCNF_T) ),
inference(resolve,[$cnf( greater(growth_rate(first_movers,skolemFOFtoCNF_T),growth_rate(efficient_producers,skolemFOFtoCNF_T)) )],[refute_0_131,refute_0_53]) ).
cnf(refute_0_133,plain,
( ~ environment(E)
| ~ subpopulations(efficient_producers,first_movers,E,skolemFOFtoCNF_T) ),
inference(resolve,[$cnf( selection_favors(first_movers,efficient_producers,skolemFOFtoCNF_T) )],[refute_0_132,refute_0_95]) ).
cnf(refute_0_134,plain,
( ~ environment(skolemFOFtoCNF_E)
| ~ subpopulations(efficient_producers,first_movers,skolemFOFtoCNF_E,skolemFOFtoCNF_T) ),
inference(subst,[],[refute_0_133:[bind(E,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_135,plain,
~ environment(skolemFOFtoCNF_E),
inference(resolve,[$cnf( subpopulations(efficient_producers,first_movers,skolemFOFtoCNF_E,skolemFOFtoCNF_T) )],[refute_0_110,refute_0_134]) ).
cnf(refute_0_136,plain,
$false,
inference(resolve,[$cnf( environment(skolemFOFtoCNF_E) )],[refute_0_10,refute_0_135]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : MGT034+2 : TPTP v8.1.0. Released v2.0.0.
% 0.11/0.13 % Command : metis --show proof --show saturation %s
% 0.12/0.34 % Computer : n025.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Thu Jun 9 10:30:20 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.46/0.65 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.46/0.65
% 0.46/0.65 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.46/0.66
%------------------------------------------------------------------------------