TSTP Solution File: MGT028+1 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : MGT028+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sun Jul 17 22:18:57 EDT 2022
% Result : Theorem 0.18s 0.35s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 3
% Syntax : Number of formulae : 96 ( 11 unt; 0 def)
% Number of atoms : 431 ( 0 equ)
% Maximal formula atoms : 36 ( 4 avg)
% Number of connectives : 577 ( 242 ~; 274 |; 50 &)
% ( 0 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-4 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-2 aty)
% Number of variables : 105 ( 0 sgn 52 !; 17 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mp_first_movers_negative_growth,axiom,
! [E] :
( ( environment(E)
& stable(E)
& ? [T1] :
( in_environment(E,T1)
& ! [T] :
( ( subpopulations(first_movers,efficient_producers,E,T)
& greater_or_equal(T,T1) )
=> greater(zero,growth_rate(first_movers,T)) ) ) )
=> ? [T2] :
( greater(T2,appear(efficient_producers,E))
& ! [T] :
( ( subpopulations(first_movers,efficient_producers,E,T)
& greater_or_equal(T,T2) )
=> greater(zero,growth_rate(first_movers,T)) ) ) ) ).
fof(l11,hypothesis,
! [E] :
( ( environment(E)
& stable(E) )
=> ? [To] :
( in_environment(E,To)
& ! [T] :
( ( subpopulations(first_movers,efficient_producers,E,T)
& greater_or_equal(T,To) )
=> ( greater(growth_rate(efficient_producers,T),zero)
& greater(zero,growth_rate(first_movers,T)) ) ) ) ) ).
fof(prove_l10,conjecture,
! [E] :
( ( environment(E)
& stable(E) )
=> ? [To] :
( greater(To,appear(efficient_producers,E))
& ! [T] :
( ( subpopulations(first_movers,efficient_producers,E,T)
& greater_or_equal(T,To) )
=> greater(zero,growth_rate(first_movers,T)) ) ) ) ).
fof(subgoal_0,plain,
! [E] :
( ( environment(E)
& stable(E) )
=> ? [To] :
( greater(To,appear(efficient_producers,E))
& ! [T] :
( ( subpopulations(first_movers,efficient_producers,E,T)
& greater_or_equal(T,To) )
=> greater(zero,growth_rate(first_movers,T)) ) ) ),
inference(strip,[],[prove_l10]) ).
fof(negate_0_0,plain,
~ ! [E] :
( ( environment(E)
& stable(E) )
=> ? [To] :
( greater(To,appear(efficient_producers,E))
& ! [T] :
( ( subpopulations(first_movers,efficient_producers,E,T)
& greater_or_equal(T,To) )
=> greater(zero,growth_rate(first_movers,T)) ) ) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [E] :
( environment(E)
& stable(E)
& ! [To] :
( ~ greater(To,appear(efficient_producers,E))
| ? [T] :
( ~ greater(zero,growth_rate(first_movers,T))
& greater_or_equal(T,To)
& subpopulations(first_movers,efficient_producers,E,T) ) ) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
( environment(skolemFOFtoCNF_E)
& stable(skolemFOFtoCNF_E)
& ! [To] :
( ~ greater(To,appear(efficient_producers,skolemFOFtoCNF_E))
| ? [T] :
( ~ greater(zero,growth_rate(first_movers,T))
& greater_or_equal(T,To)
& subpopulations(first_movers,efficient_producers,skolemFOFtoCNF_E,T) ) ) ),
inference(skolemize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [To] :
( ~ greater(To,appear(efficient_producers,skolemFOFtoCNF_E))
| ? [T] :
( ~ greater(zero,growth_rate(first_movers,T))
& greater_or_equal(T,To)
& subpopulations(first_movers,efficient_producers,skolemFOFtoCNF_E,T) ) ),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [To] :
( ~ greater(To,appear(efficient_producers,skolemFOFtoCNF_E))
| ? [T] :
( ~ greater(zero,growth_rate(first_movers,T))
& greater_or_equal(T,To)
& subpopulations(first_movers,efficient_producers,skolemFOFtoCNF_E,T) ) ),
inference(specialize,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
! [To] :
( ( ~ greater(To,appear(efficient_producers,skolemFOFtoCNF_E))
| ~ greater(zero,growth_rate(first_movers,skolemFOFtoCNF_T_1(To))) )
& ( ~ greater(To,appear(efficient_producers,skolemFOFtoCNF_E))
| greater_or_equal(skolemFOFtoCNF_T_1(To),To) )
& ( ~ greater(To,appear(efficient_producers,skolemFOFtoCNF_E))
| subpopulations(first_movers,efficient_producers,skolemFOFtoCNF_E,skolemFOFtoCNF_T_1(To)) ) ),
inference(clausify,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
! [To] :
( ~ greater(To,appear(efficient_producers,skolemFOFtoCNF_E))
| ~ greater(zero,growth_rate(first_movers,skolemFOFtoCNF_T_1(To))) ),
inference(conjunct,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
! [To] :
( ~ greater(To,appear(efficient_producers,skolemFOFtoCNF_E))
| subpopulations(first_movers,efficient_producers,skolemFOFtoCNF_E,skolemFOFtoCNF_T_1(To)) ),
inference(conjunct,[],[normalize_0_4]) ).
fof(normalize_0_7,plain,
! [E] :
( ~ environment(E)
| ~ stable(E)
| ? [T2] :
( greater(T2,appear(efficient_producers,E))
& ! [T] :
( ~ greater_or_equal(T,T2)
| ~ subpopulations(first_movers,efficient_producers,E,T)
| greater(zero,growth_rate(first_movers,T)) ) )
| ! [T1] :
( ~ in_environment(E,T1)
| ? [T] :
( ~ greater(zero,growth_rate(first_movers,T))
& greater_or_equal(T,T1)
& subpopulations(first_movers,efficient_producers,E,T) ) ) ),
inference(canonicalize,[],[mp_first_movers_negative_growth]) ).
fof(normalize_0_8,plain,
! [E] :
( ~ environment(E)
| ~ stable(E)
| ? [T2] :
( greater(T2,appear(efficient_producers,E))
& ! [T] :
( ~ greater_or_equal(T,T2)
| ~ subpopulations(first_movers,efficient_producers,E,T)
| greater(zero,growth_rate(first_movers,T)) ) )
| ! [T1] :
( ~ in_environment(E,T1)
| ? [T] :
( ~ greater(zero,growth_rate(first_movers,T))
& greater_or_equal(T,T1)
& subpopulations(first_movers,efficient_producers,E,T) ) ) ),
inference(specialize,[],[normalize_0_7]) ).
fof(normalize_0_9,plain,
! [E,T,T1] :
( ( ~ environment(E)
| ~ greater(zero,growth_rate(first_movers,skolemFOFtoCNF_T(E,T1)))
| ~ in_environment(E,T1)
| ~ stable(E)
| greater(skolemFOFtoCNF_T2(E),appear(efficient_producers,E)) )
& ( ~ environment(E)
| ~ in_environment(E,T1)
| ~ stable(E)
| greater(skolemFOFtoCNF_T2(E),appear(efficient_producers,E))
| greater_or_equal(skolemFOFtoCNF_T(E,T1),T1) )
& ( ~ environment(E)
| ~ in_environment(E,T1)
| ~ stable(E)
| greater(skolemFOFtoCNF_T2(E),appear(efficient_producers,E))
| subpopulations(first_movers,efficient_producers,E,skolemFOFtoCNF_T(E,T1)) )
& ( ~ environment(E)
| ~ greater(zero,growth_rate(first_movers,skolemFOFtoCNF_T(E,T1)))
| ~ greater_or_equal(T,skolemFOFtoCNF_T2(E))
| ~ in_environment(E,T1)
| ~ stable(E)
| ~ subpopulations(first_movers,efficient_producers,E,T)
| greater(zero,growth_rate(first_movers,T)) )
& ( ~ environment(E)
| ~ greater_or_equal(T,skolemFOFtoCNF_T2(E))
| ~ in_environment(E,T1)
| ~ stable(E)
| ~ subpopulations(first_movers,efficient_producers,E,T)
| greater(zero,growth_rate(first_movers,T))
| greater_or_equal(skolemFOFtoCNF_T(E,T1),T1) )
& ( ~ environment(E)
| ~ greater_or_equal(T,skolemFOFtoCNF_T2(E))
| ~ in_environment(E,T1)
| ~ stable(E)
| ~ subpopulations(first_movers,efficient_producers,E,T)
| greater(zero,growth_rate(first_movers,T))
| subpopulations(first_movers,efficient_producers,E,skolemFOFtoCNF_T(E,T1)) ) ),
inference(clausify,[],[normalize_0_8]) ).
fof(normalize_0_10,plain,
! [E,T1] :
( ~ environment(E)
| ~ greater(zero,growth_rate(first_movers,skolemFOFtoCNF_T(E,T1)))
| ~ in_environment(E,T1)
| ~ stable(E)
| greater(skolemFOFtoCNF_T2(E),appear(efficient_producers,E)) ),
inference(conjunct,[],[normalize_0_9]) ).
fof(normalize_0_11,plain,
stable(skolemFOFtoCNF_E),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_12,plain,
! [E] :
( ~ environment(E)
| ~ stable(E)
| ? [To] :
( in_environment(E,To)
& ! [T] :
( ~ greater_or_equal(T,To)
| ~ subpopulations(first_movers,efficient_producers,E,T)
| ( greater(growth_rate(efficient_producers,T),zero)
& greater(zero,growth_rate(first_movers,T)) ) ) ) ),
inference(canonicalize,[],[l11]) ).
fof(normalize_0_13,plain,
! [E] :
( ~ environment(E)
| ~ stable(E)
| ? [To] :
( in_environment(E,To)
& ! [T] :
( ~ greater_or_equal(T,To)
| ~ subpopulations(first_movers,efficient_producers,E,T)
| ( greater(growth_rate(efficient_producers,T),zero)
& greater(zero,growth_rate(first_movers,T)) ) ) ) ),
inference(specialize,[],[normalize_0_12]) ).
fof(normalize_0_14,plain,
! [E,T] :
( ( ~ environment(E)
| ~ stable(E)
| in_environment(E,skolemFOFtoCNF_To(E)) )
& ( ~ environment(E)
| ~ greater_or_equal(T,skolemFOFtoCNF_To(E))
| ~ stable(E)
| ~ subpopulations(first_movers,efficient_producers,E,T)
| greater(growth_rate(efficient_producers,T),zero) )
& ( ~ environment(E)
| ~ greater_or_equal(T,skolemFOFtoCNF_To(E))
| ~ stable(E)
| ~ subpopulations(first_movers,efficient_producers,E,T)
| greater(zero,growth_rate(first_movers,T)) ) ),
inference(clausify,[],[normalize_0_13]) ).
fof(normalize_0_15,plain,
! [E] :
( ~ environment(E)
| ~ stable(E)
| in_environment(E,skolemFOFtoCNF_To(E)) ),
inference(conjunct,[],[normalize_0_14]) ).
fof(normalize_0_16,plain,
environment(skolemFOFtoCNF_E),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_17,plain,
! [E,T1] :
( ~ environment(E)
| ~ in_environment(E,T1)
| ~ stable(E)
| greater(skolemFOFtoCNF_T2(E),appear(efficient_producers,E))
| greater_or_equal(skolemFOFtoCNF_T(E,T1),T1) ),
inference(conjunct,[],[normalize_0_9]) ).
fof(normalize_0_18,plain,
! [E,T] :
( ~ environment(E)
| ~ greater_or_equal(T,skolemFOFtoCNF_To(E))
| ~ stable(E)
| ~ subpopulations(first_movers,efficient_producers,E,T)
| greater(zero,growth_rate(first_movers,T)) ),
inference(conjunct,[],[normalize_0_14]) ).
fof(normalize_0_19,plain,
! [E,T1] :
( ~ environment(E)
| ~ in_environment(E,T1)
| ~ stable(E)
| greater(skolemFOFtoCNF_T2(E),appear(efficient_producers,E))
| subpopulations(first_movers,efficient_producers,E,skolemFOFtoCNF_T(E,T1)) ),
inference(conjunct,[],[normalize_0_9]) ).
fof(normalize_0_20,plain,
! [E,T,T1] :
( ~ environment(E)
| ~ greater(zero,growth_rate(first_movers,skolemFOFtoCNF_T(E,T1)))
| ~ greater_or_equal(T,skolemFOFtoCNF_T2(E))
| ~ in_environment(E,T1)
| ~ stable(E)
| ~ subpopulations(first_movers,efficient_producers,E,T)
| greater(zero,growth_rate(first_movers,T)) ),
inference(conjunct,[],[normalize_0_9]) ).
fof(normalize_0_21,plain,
! [To] :
( ~ greater(To,appear(efficient_producers,skolemFOFtoCNF_E))
| greater_or_equal(skolemFOFtoCNF_T_1(To),To) ),
inference(conjunct,[],[normalize_0_4]) ).
fof(normalize_0_22,plain,
! [E,T,T1] :
( ~ environment(E)
| ~ greater_or_equal(T,skolemFOFtoCNF_T2(E))
| ~ in_environment(E,T1)
| ~ stable(E)
| ~ subpopulations(first_movers,efficient_producers,E,T)
| greater(zero,growth_rate(first_movers,T))
| greater_or_equal(skolemFOFtoCNF_T(E,T1),T1) ),
inference(conjunct,[],[normalize_0_9]) ).
fof(normalize_0_23,plain,
! [E,T,T1] :
( ~ environment(E)
| ~ greater_or_equal(T,skolemFOFtoCNF_T2(E))
| ~ in_environment(E,T1)
| ~ stable(E)
| ~ subpopulations(first_movers,efficient_producers,E,T)
| greater(zero,growth_rate(first_movers,T))
| subpopulations(first_movers,efficient_producers,E,skolemFOFtoCNF_T(E,T1)) ),
inference(conjunct,[],[normalize_0_9]) ).
cnf(refute_0_0,plain,
( ~ greater(To,appear(efficient_producers,skolemFOFtoCNF_E))
| ~ greater(zero,growth_rate(first_movers,skolemFOFtoCNF_T_1(To))) ),
inference(canonicalize,[],[normalize_0_5]) ).
cnf(refute_0_1,plain,
( ~ greater(skolemFOFtoCNF_T2(skolemFOFtoCNF_E),appear(efficient_producers,skolemFOFtoCNF_E))
| ~ greater(zero,growth_rate(first_movers,skolemFOFtoCNF_T_1(skolemFOFtoCNF_T2(skolemFOFtoCNF_E)))) ),
inference(subst,[],[refute_0_0:[bind(To,$fot(skolemFOFtoCNF_T2(skolemFOFtoCNF_E)))]]) ).
cnf(refute_0_2,plain,
( ~ greater(To,appear(efficient_producers,skolemFOFtoCNF_E))
| subpopulations(first_movers,efficient_producers,skolemFOFtoCNF_E,skolemFOFtoCNF_T_1(To)) ),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_3,plain,
( ~ greater(skolemFOFtoCNF_T2(skolemFOFtoCNF_E),appear(efficient_producers,skolemFOFtoCNF_E))
| subpopulations(first_movers,efficient_producers,skolemFOFtoCNF_E,skolemFOFtoCNF_T_1(skolemFOFtoCNF_T2(skolemFOFtoCNF_E))) ),
inference(subst,[],[refute_0_2:[bind(To,$fot(skolemFOFtoCNF_T2(skolemFOFtoCNF_E)))]]) ).
cnf(refute_0_4,plain,
( ~ environment(E)
| ~ greater(zero,growth_rate(first_movers,skolemFOFtoCNF_T(E,T1)))
| ~ in_environment(E,T1)
| ~ stable(E)
| greater(skolemFOFtoCNF_T2(E),appear(efficient_producers,E)) ),
inference(canonicalize,[],[normalize_0_10]) ).
cnf(refute_0_5,plain,
( ~ environment(skolemFOFtoCNF_E)
| ~ greater(zero,growth_rate(first_movers,skolemFOFtoCNF_T(skolemFOFtoCNF_E,skolemFOFtoCNF_To(skolemFOFtoCNF_E))))
| ~ in_environment(skolemFOFtoCNF_E,skolemFOFtoCNF_To(skolemFOFtoCNF_E))
| ~ stable(skolemFOFtoCNF_E)
| greater(skolemFOFtoCNF_T2(skolemFOFtoCNF_E),appear(efficient_producers,skolemFOFtoCNF_E)) ),
inference(subst,[],[refute_0_4:[bind(E,$fot(skolemFOFtoCNF_E)),bind(T1,$fot(skolemFOFtoCNF_To(skolemFOFtoCNF_E)))]]) ).
cnf(refute_0_6,plain,
stable(skolemFOFtoCNF_E),
inference(canonicalize,[],[normalize_0_11]) ).
cnf(refute_0_7,plain,
( ~ environment(E)
| ~ stable(E)
| in_environment(E,skolemFOFtoCNF_To(E)) ),
inference(canonicalize,[],[normalize_0_15]) ).
cnf(refute_0_8,plain,
( ~ environment(skolemFOFtoCNF_E)
| ~ stable(skolemFOFtoCNF_E)
| in_environment(skolemFOFtoCNF_E,skolemFOFtoCNF_To(skolemFOFtoCNF_E)) ),
inference(subst,[],[refute_0_7:[bind(E,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_9,plain,
( ~ environment(skolemFOFtoCNF_E)
| in_environment(skolemFOFtoCNF_E,skolemFOFtoCNF_To(skolemFOFtoCNF_E)) ),
inference(resolve,[$cnf( stable(skolemFOFtoCNF_E) )],[refute_0_6,refute_0_8]) ).
cnf(refute_0_10,plain,
environment(skolemFOFtoCNF_E),
inference(canonicalize,[],[normalize_0_16]) ).
cnf(refute_0_11,plain,
in_environment(skolemFOFtoCNF_E,skolemFOFtoCNF_To(skolemFOFtoCNF_E)),
inference(resolve,[$cnf( environment(skolemFOFtoCNF_E) )],[refute_0_10,refute_0_9]) ).
cnf(refute_0_12,plain,
( ~ environment(E)
| ~ in_environment(E,T1)
| ~ stable(E)
| greater(skolemFOFtoCNF_T2(E),appear(efficient_producers,E))
| greater_or_equal(skolemFOFtoCNF_T(E,T1),T1) ),
inference(canonicalize,[],[normalize_0_17]) ).
cnf(refute_0_13,plain,
( ~ environment(skolemFOFtoCNF_E)
| ~ in_environment(skolemFOFtoCNF_E,skolemFOFtoCNF_To(skolemFOFtoCNF_E))
| ~ stable(skolemFOFtoCNF_E)
| greater(skolemFOFtoCNF_T2(skolemFOFtoCNF_E),appear(efficient_producers,skolemFOFtoCNF_E))
| greater_or_equal(skolemFOFtoCNF_T(skolemFOFtoCNF_E,skolemFOFtoCNF_To(skolemFOFtoCNF_E)),skolemFOFtoCNF_To(skolemFOFtoCNF_E)) ),
inference(subst,[],[refute_0_12:[bind(E,$fot(skolemFOFtoCNF_E)),bind(T1,$fot(skolemFOFtoCNF_To(skolemFOFtoCNF_E)))]]) ).
cnf(refute_0_14,plain,
( ~ environment(skolemFOFtoCNF_E)
| ~ stable(skolemFOFtoCNF_E)
| greater(skolemFOFtoCNF_T2(skolemFOFtoCNF_E),appear(efficient_producers,skolemFOFtoCNF_E))
| greater_or_equal(skolemFOFtoCNF_T(skolemFOFtoCNF_E,skolemFOFtoCNF_To(skolemFOFtoCNF_E)),skolemFOFtoCNF_To(skolemFOFtoCNF_E)) ),
inference(resolve,[$cnf( in_environment(skolemFOFtoCNF_E,skolemFOFtoCNF_To(skolemFOFtoCNF_E)) )],[refute_0_11,refute_0_13]) ).
cnf(refute_0_15,plain,
( ~ stable(skolemFOFtoCNF_E)
| greater(skolemFOFtoCNF_T2(skolemFOFtoCNF_E),appear(efficient_producers,skolemFOFtoCNF_E))
| greater_or_equal(skolemFOFtoCNF_T(skolemFOFtoCNF_E,skolemFOFtoCNF_To(skolemFOFtoCNF_E)),skolemFOFtoCNF_To(skolemFOFtoCNF_E)) ),
inference(resolve,[$cnf( environment(skolemFOFtoCNF_E) )],[refute_0_10,refute_0_14]) ).
cnf(refute_0_16,plain,
( greater(skolemFOFtoCNF_T2(skolemFOFtoCNF_E),appear(efficient_producers,skolemFOFtoCNF_E))
| greater_or_equal(skolemFOFtoCNF_T(skolemFOFtoCNF_E,skolemFOFtoCNF_To(skolemFOFtoCNF_E)),skolemFOFtoCNF_To(skolemFOFtoCNF_E)) ),
inference(resolve,[$cnf( stable(skolemFOFtoCNF_E) )],[refute_0_6,refute_0_15]) ).
cnf(refute_0_17,plain,
( ~ environment(E)
| ~ greater_or_equal(T,skolemFOFtoCNF_To(E))
| ~ stable(E)
| ~ subpopulations(first_movers,efficient_producers,E,T)
| greater(zero,growth_rate(first_movers,T)) ),
inference(canonicalize,[],[normalize_0_18]) ).
cnf(refute_0_18,plain,
( ~ environment(skolemFOFtoCNF_E)
| ~ greater_or_equal(skolemFOFtoCNF_T(skolemFOFtoCNF_E,skolemFOFtoCNF_To(skolemFOFtoCNF_E)),skolemFOFtoCNF_To(skolemFOFtoCNF_E))
| ~ stable(skolemFOFtoCNF_E)
| ~ subpopulations(first_movers,efficient_producers,skolemFOFtoCNF_E,skolemFOFtoCNF_T(skolemFOFtoCNF_E,skolemFOFtoCNF_To(skolemFOFtoCNF_E)))
| greater(zero,growth_rate(first_movers,skolemFOFtoCNF_T(skolemFOFtoCNF_E,skolemFOFtoCNF_To(skolemFOFtoCNF_E)))) ),
inference(subst,[],[refute_0_17:[bind(E,$fot(skolemFOFtoCNF_E)),bind(T,$fot(skolemFOFtoCNF_T(skolemFOFtoCNF_E,skolemFOFtoCNF_To(skolemFOFtoCNF_E))))]]) ).
cnf(refute_0_19,plain,
( ~ environment(E)
| ~ in_environment(E,T1)
| ~ stable(E)
| greater(skolemFOFtoCNF_T2(E),appear(efficient_producers,E))
| subpopulations(first_movers,efficient_producers,E,skolemFOFtoCNF_T(E,T1)) ),
inference(canonicalize,[],[normalize_0_19]) ).
cnf(refute_0_20,plain,
( ~ environment(skolemFOFtoCNF_E)
| ~ in_environment(skolemFOFtoCNF_E,skolemFOFtoCNF_To(skolemFOFtoCNF_E))
| ~ stable(skolemFOFtoCNF_E)
| greater(skolemFOFtoCNF_T2(skolemFOFtoCNF_E),appear(efficient_producers,skolemFOFtoCNF_E))
| subpopulations(first_movers,efficient_producers,skolemFOFtoCNF_E,skolemFOFtoCNF_T(skolemFOFtoCNF_E,skolemFOFtoCNF_To(skolemFOFtoCNF_E))) ),
inference(subst,[],[refute_0_19:[bind(E,$fot(skolemFOFtoCNF_E)),bind(T1,$fot(skolemFOFtoCNF_To(skolemFOFtoCNF_E)))]]) ).
cnf(refute_0_21,plain,
( ~ environment(skolemFOFtoCNF_E)
| ~ stable(skolemFOFtoCNF_E)
| greater(skolemFOFtoCNF_T2(skolemFOFtoCNF_E),appear(efficient_producers,skolemFOFtoCNF_E))
| subpopulations(first_movers,efficient_producers,skolemFOFtoCNF_E,skolemFOFtoCNF_T(skolemFOFtoCNF_E,skolemFOFtoCNF_To(skolemFOFtoCNF_E))) ),
inference(resolve,[$cnf( in_environment(skolemFOFtoCNF_E,skolemFOFtoCNF_To(skolemFOFtoCNF_E)) )],[refute_0_11,refute_0_20]) ).
cnf(refute_0_22,plain,
( ~ stable(skolemFOFtoCNF_E)
| greater(skolemFOFtoCNF_T2(skolemFOFtoCNF_E),appear(efficient_producers,skolemFOFtoCNF_E))
| subpopulations(first_movers,efficient_producers,skolemFOFtoCNF_E,skolemFOFtoCNF_T(skolemFOFtoCNF_E,skolemFOFtoCNF_To(skolemFOFtoCNF_E))) ),
inference(resolve,[$cnf( environment(skolemFOFtoCNF_E) )],[refute_0_10,refute_0_21]) ).
cnf(refute_0_23,plain,
( greater(skolemFOFtoCNF_T2(skolemFOFtoCNF_E),appear(efficient_producers,skolemFOFtoCNF_E))
| subpopulations(first_movers,efficient_producers,skolemFOFtoCNF_E,skolemFOFtoCNF_T(skolemFOFtoCNF_E,skolemFOFtoCNF_To(skolemFOFtoCNF_E))) ),
inference(resolve,[$cnf( stable(skolemFOFtoCNF_E) )],[refute_0_6,refute_0_22]) ).
cnf(refute_0_24,plain,
( ~ environment(skolemFOFtoCNF_E)
| ~ greater_or_equal(skolemFOFtoCNF_T(skolemFOFtoCNF_E,skolemFOFtoCNF_To(skolemFOFtoCNF_E)),skolemFOFtoCNF_To(skolemFOFtoCNF_E))
| ~ stable(skolemFOFtoCNF_E)
| greater(skolemFOFtoCNF_T2(skolemFOFtoCNF_E),appear(efficient_producers,skolemFOFtoCNF_E))
| greater(zero,growth_rate(first_movers,skolemFOFtoCNF_T(skolemFOFtoCNF_E,skolemFOFtoCNF_To(skolemFOFtoCNF_E)))) ),
inference(resolve,[$cnf( subpopulations(first_movers,efficient_producers,skolemFOFtoCNF_E,skolemFOFtoCNF_T(skolemFOFtoCNF_E,skolemFOFtoCNF_To(skolemFOFtoCNF_E))) )],[refute_0_23,refute_0_18]) ).
cnf(refute_0_25,plain,
( ~ greater_or_equal(skolemFOFtoCNF_T(skolemFOFtoCNF_E,skolemFOFtoCNF_To(skolemFOFtoCNF_E)),skolemFOFtoCNF_To(skolemFOFtoCNF_E))
| ~ stable(skolemFOFtoCNF_E)
| greater(skolemFOFtoCNF_T2(skolemFOFtoCNF_E),appear(efficient_producers,skolemFOFtoCNF_E))
| greater(zero,growth_rate(first_movers,skolemFOFtoCNF_T(skolemFOFtoCNF_E,skolemFOFtoCNF_To(skolemFOFtoCNF_E)))) ),
inference(resolve,[$cnf( environment(skolemFOFtoCNF_E) )],[refute_0_10,refute_0_24]) ).
cnf(refute_0_26,plain,
( ~ greater_or_equal(skolemFOFtoCNF_T(skolemFOFtoCNF_E,skolemFOFtoCNF_To(skolemFOFtoCNF_E)),skolemFOFtoCNF_To(skolemFOFtoCNF_E))
| greater(skolemFOFtoCNF_T2(skolemFOFtoCNF_E),appear(efficient_producers,skolemFOFtoCNF_E))
| greater(zero,growth_rate(first_movers,skolemFOFtoCNF_T(skolemFOFtoCNF_E,skolemFOFtoCNF_To(skolemFOFtoCNF_E)))) ),
inference(resolve,[$cnf( stable(skolemFOFtoCNF_E) )],[refute_0_6,refute_0_25]) ).
cnf(refute_0_27,plain,
( greater(skolemFOFtoCNF_T2(skolemFOFtoCNF_E),appear(efficient_producers,skolemFOFtoCNF_E))
| greater(zero,growth_rate(first_movers,skolemFOFtoCNF_T(skolemFOFtoCNF_E,skolemFOFtoCNF_To(skolemFOFtoCNF_E)))) ),
inference(resolve,[$cnf( greater_or_equal(skolemFOFtoCNF_T(skolemFOFtoCNF_E,skolemFOFtoCNF_To(skolemFOFtoCNF_E)),skolemFOFtoCNF_To(skolemFOFtoCNF_E)) )],[refute_0_16,refute_0_26]) ).
cnf(refute_0_28,plain,
( ~ environment(skolemFOFtoCNF_E)
| ~ in_environment(skolemFOFtoCNF_E,skolemFOFtoCNF_To(skolemFOFtoCNF_E))
| ~ stable(skolemFOFtoCNF_E)
| greater(skolemFOFtoCNF_T2(skolemFOFtoCNF_E),appear(efficient_producers,skolemFOFtoCNF_E)) ),
inference(resolve,[$cnf( greater(zero,growth_rate(first_movers,skolemFOFtoCNF_T(skolemFOFtoCNF_E,skolemFOFtoCNF_To(skolemFOFtoCNF_E)))) )],[refute_0_27,refute_0_5]) ).
cnf(refute_0_29,plain,
( ~ in_environment(skolemFOFtoCNF_E,skolemFOFtoCNF_To(skolemFOFtoCNF_E))
| ~ stable(skolemFOFtoCNF_E)
| greater(skolemFOFtoCNF_T2(skolemFOFtoCNF_E),appear(efficient_producers,skolemFOFtoCNF_E)) ),
inference(resolve,[$cnf( environment(skolemFOFtoCNF_E) )],[refute_0_10,refute_0_28]) ).
cnf(refute_0_30,plain,
( ~ stable(skolemFOFtoCNF_E)
| greater(skolemFOFtoCNF_T2(skolemFOFtoCNF_E),appear(efficient_producers,skolemFOFtoCNF_E)) ),
inference(resolve,[$cnf( in_environment(skolemFOFtoCNF_E,skolemFOFtoCNF_To(skolemFOFtoCNF_E)) )],[refute_0_11,refute_0_29]) ).
cnf(refute_0_31,plain,
greater(skolemFOFtoCNF_T2(skolemFOFtoCNF_E),appear(efficient_producers,skolemFOFtoCNF_E)),
inference(resolve,[$cnf( stable(skolemFOFtoCNF_E) )],[refute_0_6,refute_0_30]) ).
cnf(refute_0_32,plain,
subpopulations(first_movers,efficient_producers,skolemFOFtoCNF_E,skolemFOFtoCNF_T_1(skolemFOFtoCNF_T2(skolemFOFtoCNF_E))),
inference(resolve,[$cnf( greater(skolemFOFtoCNF_T2(skolemFOFtoCNF_E),appear(efficient_producers,skolemFOFtoCNF_E)) )],[refute_0_31,refute_0_3]) ).
cnf(refute_0_33,plain,
( ~ environment(E)
| ~ greater(zero,growth_rate(first_movers,skolemFOFtoCNF_T(E,T1)))
| ~ greater_or_equal(T,skolemFOFtoCNF_T2(E))
| ~ in_environment(E,T1)
| ~ stable(E)
| ~ subpopulations(first_movers,efficient_producers,E,T)
| greater(zero,growth_rate(first_movers,T)) ),
inference(canonicalize,[],[normalize_0_20]) ).
cnf(refute_0_34,plain,
( ~ environment(skolemFOFtoCNF_E)
| ~ greater(zero,growth_rate(first_movers,skolemFOFtoCNF_T(skolemFOFtoCNF_E,X_20)))
| ~ greater_or_equal(skolemFOFtoCNF_T_1(skolemFOFtoCNF_T2(skolemFOFtoCNF_E)),skolemFOFtoCNF_T2(skolemFOFtoCNF_E))
| ~ in_environment(skolemFOFtoCNF_E,X_20)
| ~ stable(skolemFOFtoCNF_E)
| ~ subpopulations(first_movers,efficient_producers,skolemFOFtoCNF_E,skolemFOFtoCNF_T_1(skolemFOFtoCNF_T2(skolemFOFtoCNF_E)))
| greater(zero,growth_rate(first_movers,skolemFOFtoCNF_T_1(skolemFOFtoCNF_T2(skolemFOFtoCNF_E)))) ),
inference(subst,[],[refute_0_33:[bind(E,$fot(skolemFOFtoCNF_E)),bind(T,$fot(skolemFOFtoCNF_T_1(skolemFOFtoCNF_T2(skolemFOFtoCNF_E)))),bind(T1,$fot(X_20))]]) ).
cnf(refute_0_35,plain,
( ~ environment(skolemFOFtoCNF_E)
| ~ greater(zero,growth_rate(first_movers,skolemFOFtoCNF_T(skolemFOFtoCNF_E,X_20)))
| ~ greater_or_equal(skolemFOFtoCNF_T_1(skolemFOFtoCNF_T2(skolemFOFtoCNF_E)),skolemFOFtoCNF_T2(skolemFOFtoCNF_E))
| ~ in_environment(skolemFOFtoCNF_E,X_20)
| ~ stable(skolemFOFtoCNF_E)
| greater(zero,growth_rate(first_movers,skolemFOFtoCNF_T_1(skolemFOFtoCNF_T2(skolemFOFtoCNF_E)))) ),
inference(resolve,[$cnf( subpopulations(first_movers,efficient_producers,skolemFOFtoCNF_E,skolemFOFtoCNF_T_1(skolemFOFtoCNF_T2(skolemFOFtoCNF_E))) )],[refute_0_32,refute_0_34]) ).
cnf(refute_0_36,plain,
( ~ greater(zero,growth_rate(first_movers,skolemFOFtoCNF_T(skolemFOFtoCNF_E,X_20)))
| ~ greater_or_equal(skolemFOFtoCNF_T_1(skolemFOFtoCNF_T2(skolemFOFtoCNF_E)),skolemFOFtoCNF_T2(skolemFOFtoCNF_E))
| ~ in_environment(skolemFOFtoCNF_E,X_20)
| ~ stable(skolemFOFtoCNF_E)
| greater(zero,growth_rate(first_movers,skolemFOFtoCNF_T_1(skolemFOFtoCNF_T2(skolemFOFtoCNF_E)))) ),
inference(resolve,[$cnf( environment(skolemFOFtoCNF_E) )],[refute_0_10,refute_0_35]) ).
cnf(refute_0_37,plain,
( ~ greater(To,appear(efficient_producers,skolemFOFtoCNF_E))
| greater_or_equal(skolemFOFtoCNF_T_1(To),To) ),
inference(canonicalize,[],[normalize_0_21]) ).
cnf(refute_0_38,plain,
( ~ greater(skolemFOFtoCNF_T2(skolemFOFtoCNF_E),appear(efficient_producers,skolemFOFtoCNF_E))
| greater_or_equal(skolemFOFtoCNF_T_1(skolemFOFtoCNF_T2(skolemFOFtoCNF_E)),skolemFOFtoCNF_T2(skolemFOFtoCNF_E)) ),
inference(subst,[],[refute_0_37:[bind(To,$fot(skolemFOFtoCNF_T2(skolemFOFtoCNF_E)))]]) ).
cnf(refute_0_39,plain,
greater_or_equal(skolemFOFtoCNF_T_1(skolemFOFtoCNF_T2(skolemFOFtoCNF_E)),skolemFOFtoCNF_T2(skolemFOFtoCNF_E)),
inference(resolve,[$cnf( greater(skolemFOFtoCNF_T2(skolemFOFtoCNF_E),appear(efficient_producers,skolemFOFtoCNF_E)) )],[refute_0_31,refute_0_38]) ).
cnf(refute_0_40,plain,
( ~ greater(zero,growth_rate(first_movers,skolemFOFtoCNF_T(skolemFOFtoCNF_E,X_20)))
| ~ in_environment(skolemFOFtoCNF_E,X_20)
| ~ stable(skolemFOFtoCNF_E)
| greater(zero,growth_rate(first_movers,skolemFOFtoCNF_T_1(skolemFOFtoCNF_T2(skolemFOFtoCNF_E)))) ),
inference(resolve,[$cnf( greater_or_equal(skolemFOFtoCNF_T_1(skolemFOFtoCNF_T2(skolemFOFtoCNF_E)),skolemFOFtoCNF_T2(skolemFOFtoCNF_E)) )],[refute_0_39,refute_0_36]) ).
cnf(refute_0_41,plain,
( ~ greater(zero,growth_rate(first_movers,skolemFOFtoCNF_T(skolemFOFtoCNF_E,X_20)))
| ~ in_environment(skolemFOFtoCNF_E,X_20)
| greater(zero,growth_rate(first_movers,skolemFOFtoCNF_T_1(skolemFOFtoCNF_T2(skolemFOFtoCNF_E)))) ),
inference(resolve,[$cnf( stable(skolemFOFtoCNF_E) )],[refute_0_6,refute_0_40]) ).
cnf(refute_0_42,plain,
( ~ greater(zero,growth_rate(first_movers,skolemFOFtoCNF_T(skolemFOFtoCNF_E,skolemFOFtoCNF_To(skolemFOFtoCNF_E))))
| ~ in_environment(skolemFOFtoCNF_E,skolemFOFtoCNF_To(skolemFOFtoCNF_E))
| greater(zero,growth_rate(first_movers,skolemFOFtoCNF_T_1(skolemFOFtoCNF_T2(skolemFOFtoCNF_E)))) ),
inference(subst,[],[refute_0_41:[bind(X_20,$fot(skolemFOFtoCNF_To(skolemFOFtoCNF_E)))]]) ).
cnf(refute_0_43,plain,
( ~ environment(E)
| ~ greater_or_equal(T,skolemFOFtoCNF_T2(E))
| ~ in_environment(E,T1)
| ~ stable(E)
| ~ subpopulations(first_movers,efficient_producers,E,T)
| greater(zero,growth_rate(first_movers,T))
| greater_or_equal(skolemFOFtoCNF_T(E,T1),T1) ),
inference(canonicalize,[],[normalize_0_22]) ).
cnf(refute_0_44,plain,
( ~ environment(skolemFOFtoCNF_E)
| ~ greater_or_equal(skolemFOFtoCNF_T_1(skolemFOFtoCNF_T2(skolemFOFtoCNF_E)),skolemFOFtoCNF_T2(skolemFOFtoCNF_E))
| ~ in_environment(skolemFOFtoCNF_E,X_16)
| ~ stable(skolemFOFtoCNF_E)
| ~ subpopulations(first_movers,efficient_producers,skolemFOFtoCNF_E,skolemFOFtoCNF_T_1(skolemFOFtoCNF_T2(skolemFOFtoCNF_E)))
| greater(zero,growth_rate(first_movers,skolemFOFtoCNF_T_1(skolemFOFtoCNF_T2(skolemFOFtoCNF_E))))
| greater_or_equal(skolemFOFtoCNF_T(skolemFOFtoCNF_E,X_16),X_16) ),
inference(subst,[],[refute_0_43:[bind(E,$fot(skolemFOFtoCNF_E)),bind(T,$fot(skolemFOFtoCNF_T_1(skolemFOFtoCNF_T2(skolemFOFtoCNF_E)))),bind(T1,$fot(X_16))]]) ).
cnf(refute_0_45,plain,
( ~ environment(skolemFOFtoCNF_E)
| ~ greater_or_equal(skolemFOFtoCNF_T_1(skolemFOFtoCNF_T2(skolemFOFtoCNF_E)),skolemFOFtoCNF_T2(skolemFOFtoCNF_E))
| ~ in_environment(skolemFOFtoCNF_E,X_16)
| ~ stable(skolemFOFtoCNF_E)
| greater(zero,growth_rate(first_movers,skolemFOFtoCNF_T_1(skolemFOFtoCNF_T2(skolemFOFtoCNF_E))))
| greater_or_equal(skolemFOFtoCNF_T(skolemFOFtoCNF_E,X_16),X_16) ),
inference(resolve,[$cnf( subpopulations(first_movers,efficient_producers,skolemFOFtoCNF_E,skolemFOFtoCNF_T_1(skolemFOFtoCNF_T2(skolemFOFtoCNF_E))) )],[refute_0_32,refute_0_44]) ).
cnf(refute_0_46,plain,
( ~ greater_or_equal(skolemFOFtoCNF_T_1(skolemFOFtoCNF_T2(skolemFOFtoCNF_E)),skolemFOFtoCNF_T2(skolemFOFtoCNF_E))
| ~ in_environment(skolemFOFtoCNF_E,X_16)
| ~ stable(skolemFOFtoCNF_E)
| greater(zero,growth_rate(first_movers,skolemFOFtoCNF_T_1(skolemFOFtoCNF_T2(skolemFOFtoCNF_E))))
| greater_or_equal(skolemFOFtoCNF_T(skolemFOFtoCNF_E,X_16),X_16) ),
inference(resolve,[$cnf( environment(skolemFOFtoCNF_E) )],[refute_0_10,refute_0_45]) ).
cnf(refute_0_47,plain,
( ~ in_environment(skolemFOFtoCNF_E,X_16)
| ~ stable(skolemFOFtoCNF_E)
| greater(zero,growth_rate(first_movers,skolemFOFtoCNF_T_1(skolemFOFtoCNF_T2(skolemFOFtoCNF_E))))
| greater_or_equal(skolemFOFtoCNF_T(skolemFOFtoCNF_E,X_16),X_16) ),
inference(resolve,[$cnf( greater_or_equal(skolemFOFtoCNF_T_1(skolemFOFtoCNF_T2(skolemFOFtoCNF_E)),skolemFOFtoCNF_T2(skolemFOFtoCNF_E)) )],[refute_0_39,refute_0_46]) ).
cnf(refute_0_48,plain,
( ~ in_environment(skolemFOFtoCNF_E,X_16)
| greater(zero,growth_rate(first_movers,skolemFOFtoCNF_T_1(skolemFOFtoCNF_T2(skolemFOFtoCNF_E))))
| greater_or_equal(skolemFOFtoCNF_T(skolemFOFtoCNF_E,X_16),X_16) ),
inference(resolve,[$cnf( stable(skolemFOFtoCNF_E) )],[refute_0_6,refute_0_47]) ).
cnf(refute_0_49,plain,
( ~ in_environment(skolemFOFtoCNF_E,skolemFOFtoCNF_To(skolemFOFtoCNF_E))
| greater(zero,growth_rate(first_movers,skolemFOFtoCNF_T_1(skolemFOFtoCNF_T2(skolemFOFtoCNF_E))))
| greater_or_equal(skolemFOFtoCNF_T(skolemFOFtoCNF_E,skolemFOFtoCNF_To(skolemFOFtoCNF_E)),skolemFOFtoCNF_To(skolemFOFtoCNF_E)) ),
inference(subst,[],[refute_0_48:[bind(X_16,$fot(skolemFOFtoCNF_To(skolemFOFtoCNF_E)))]]) ).
cnf(refute_0_50,plain,
( greater(zero,growth_rate(first_movers,skolemFOFtoCNF_T_1(skolemFOFtoCNF_T2(skolemFOFtoCNF_E))))
| greater_or_equal(skolemFOFtoCNF_T(skolemFOFtoCNF_E,skolemFOFtoCNF_To(skolemFOFtoCNF_E)),skolemFOFtoCNF_To(skolemFOFtoCNF_E)) ),
inference(resolve,[$cnf( in_environment(skolemFOFtoCNF_E,skolemFOFtoCNF_To(skolemFOFtoCNF_E)) )],[refute_0_11,refute_0_49]) ).
cnf(refute_0_51,plain,
( ~ environment(E)
| ~ greater_or_equal(T,skolemFOFtoCNF_T2(E))
| ~ in_environment(E,T1)
| ~ stable(E)
| ~ subpopulations(first_movers,efficient_producers,E,T)
| greater(zero,growth_rate(first_movers,T))
| subpopulations(first_movers,efficient_producers,E,skolemFOFtoCNF_T(E,T1)) ),
inference(canonicalize,[],[normalize_0_23]) ).
cnf(refute_0_52,plain,
( ~ environment(skolemFOFtoCNF_E)
| ~ greater_or_equal(skolemFOFtoCNF_T_1(skolemFOFtoCNF_T2(skolemFOFtoCNF_E)),skolemFOFtoCNF_T2(skolemFOFtoCNF_E))
| ~ in_environment(skolemFOFtoCNF_E,X_24)
| ~ stable(skolemFOFtoCNF_E)
| ~ subpopulations(first_movers,efficient_producers,skolemFOFtoCNF_E,skolemFOFtoCNF_T_1(skolemFOFtoCNF_T2(skolemFOFtoCNF_E)))
| greater(zero,growth_rate(first_movers,skolemFOFtoCNF_T_1(skolemFOFtoCNF_T2(skolemFOFtoCNF_E))))
| subpopulations(first_movers,efficient_producers,skolemFOFtoCNF_E,skolemFOFtoCNF_T(skolemFOFtoCNF_E,X_24)) ),
inference(subst,[],[refute_0_51:[bind(E,$fot(skolemFOFtoCNF_E)),bind(T,$fot(skolemFOFtoCNF_T_1(skolemFOFtoCNF_T2(skolemFOFtoCNF_E)))),bind(T1,$fot(X_24))]]) ).
cnf(refute_0_53,plain,
( ~ environment(skolemFOFtoCNF_E)
| ~ greater_or_equal(skolemFOFtoCNF_T_1(skolemFOFtoCNF_T2(skolemFOFtoCNF_E)),skolemFOFtoCNF_T2(skolemFOFtoCNF_E))
| ~ in_environment(skolemFOFtoCNF_E,X_24)
| ~ stable(skolemFOFtoCNF_E)
| greater(zero,growth_rate(first_movers,skolemFOFtoCNF_T_1(skolemFOFtoCNF_T2(skolemFOFtoCNF_E))))
| subpopulations(first_movers,efficient_producers,skolemFOFtoCNF_E,skolemFOFtoCNF_T(skolemFOFtoCNF_E,X_24)) ),
inference(resolve,[$cnf( subpopulations(first_movers,efficient_producers,skolemFOFtoCNF_E,skolemFOFtoCNF_T_1(skolemFOFtoCNF_T2(skolemFOFtoCNF_E))) )],[refute_0_32,refute_0_52]) ).
cnf(refute_0_54,plain,
( ~ greater_or_equal(skolemFOFtoCNF_T_1(skolemFOFtoCNF_T2(skolemFOFtoCNF_E)),skolemFOFtoCNF_T2(skolemFOFtoCNF_E))
| ~ in_environment(skolemFOFtoCNF_E,X_24)
| ~ stable(skolemFOFtoCNF_E)
| greater(zero,growth_rate(first_movers,skolemFOFtoCNF_T_1(skolemFOFtoCNF_T2(skolemFOFtoCNF_E))))
| subpopulations(first_movers,efficient_producers,skolemFOFtoCNF_E,skolemFOFtoCNF_T(skolemFOFtoCNF_E,X_24)) ),
inference(resolve,[$cnf( environment(skolemFOFtoCNF_E) )],[refute_0_10,refute_0_53]) ).
cnf(refute_0_55,plain,
( ~ in_environment(skolemFOFtoCNF_E,X_24)
| ~ stable(skolemFOFtoCNF_E)
| greater(zero,growth_rate(first_movers,skolemFOFtoCNF_T_1(skolemFOFtoCNF_T2(skolemFOFtoCNF_E))))
| subpopulations(first_movers,efficient_producers,skolemFOFtoCNF_E,skolemFOFtoCNF_T(skolemFOFtoCNF_E,X_24)) ),
inference(resolve,[$cnf( greater_or_equal(skolemFOFtoCNF_T_1(skolemFOFtoCNF_T2(skolemFOFtoCNF_E)),skolemFOFtoCNF_T2(skolemFOFtoCNF_E)) )],[refute_0_39,refute_0_54]) ).
cnf(refute_0_56,plain,
( ~ in_environment(skolemFOFtoCNF_E,X_24)
| greater(zero,growth_rate(first_movers,skolemFOFtoCNF_T_1(skolemFOFtoCNF_T2(skolemFOFtoCNF_E))))
| subpopulations(first_movers,efficient_producers,skolemFOFtoCNF_E,skolemFOFtoCNF_T(skolemFOFtoCNF_E,X_24)) ),
inference(resolve,[$cnf( stable(skolemFOFtoCNF_E) )],[refute_0_6,refute_0_55]) ).
cnf(refute_0_57,plain,
( ~ in_environment(skolemFOFtoCNF_E,skolemFOFtoCNF_To(skolemFOFtoCNF_E))
| greater(zero,growth_rate(first_movers,skolemFOFtoCNF_T_1(skolemFOFtoCNF_T2(skolemFOFtoCNF_E))))
| subpopulations(first_movers,efficient_producers,skolemFOFtoCNF_E,skolemFOFtoCNF_T(skolemFOFtoCNF_E,skolemFOFtoCNF_To(skolemFOFtoCNF_E))) ),
inference(subst,[],[refute_0_56:[bind(X_24,$fot(skolemFOFtoCNF_To(skolemFOFtoCNF_E)))]]) ).
cnf(refute_0_58,plain,
( greater(zero,growth_rate(first_movers,skolemFOFtoCNF_T_1(skolemFOFtoCNF_T2(skolemFOFtoCNF_E))))
| subpopulations(first_movers,efficient_producers,skolemFOFtoCNF_E,skolemFOFtoCNF_T(skolemFOFtoCNF_E,skolemFOFtoCNF_To(skolemFOFtoCNF_E))) ),
inference(resolve,[$cnf( in_environment(skolemFOFtoCNF_E,skolemFOFtoCNF_To(skolemFOFtoCNF_E)) )],[refute_0_11,refute_0_57]) ).
cnf(refute_0_59,plain,
( ~ environment(skolemFOFtoCNF_E)
| ~ greater_or_equal(skolemFOFtoCNF_T(skolemFOFtoCNF_E,skolemFOFtoCNF_To(skolemFOFtoCNF_E)),skolemFOFtoCNF_To(skolemFOFtoCNF_E))
| ~ stable(skolemFOFtoCNF_E)
| greater(zero,growth_rate(first_movers,skolemFOFtoCNF_T(skolemFOFtoCNF_E,skolemFOFtoCNF_To(skolemFOFtoCNF_E))))
| greater(zero,growth_rate(first_movers,skolemFOFtoCNF_T_1(skolemFOFtoCNF_T2(skolemFOFtoCNF_E)))) ),
inference(resolve,[$cnf( subpopulations(first_movers,efficient_producers,skolemFOFtoCNF_E,skolemFOFtoCNF_T(skolemFOFtoCNF_E,skolemFOFtoCNF_To(skolemFOFtoCNF_E))) )],[refute_0_58,refute_0_18]) ).
cnf(refute_0_60,plain,
( ~ greater_or_equal(skolemFOFtoCNF_T(skolemFOFtoCNF_E,skolemFOFtoCNF_To(skolemFOFtoCNF_E)),skolemFOFtoCNF_To(skolemFOFtoCNF_E))
| ~ stable(skolemFOFtoCNF_E)
| greater(zero,growth_rate(first_movers,skolemFOFtoCNF_T(skolemFOFtoCNF_E,skolemFOFtoCNF_To(skolemFOFtoCNF_E))))
| greater(zero,growth_rate(first_movers,skolemFOFtoCNF_T_1(skolemFOFtoCNF_T2(skolemFOFtoCNF_E)))) ),
inference(resolve,[$cnf( environment(skolemFOFtoCNF_E) )],[refute_0_10,refute_0_59]) ).
cnf(refute_0_61,plain,
( ~ greater_or_equal(skolemFOFtoCNF_T(skolemFOFtoCNF_E,skolemFOFtoCNF_To(skolemFOFtoCNF_E)),skolemFOFtoCNF_To(skolemFOFtoCNF_E))
| greater(zero,growth_rate(first_movers,skolemFOFtoCNF_T(skolemFOFtoCNF_E,skolemFOFtoCNF_To(skolemFOFtoCNF_E))))
| greater(zero,growth_rate(first_movers,skolemFOFtoCNF_T_1(skolemFOFtoCNF_T2(skolemFOFtoCNF_E)))) ),
inference(resolve,[$cnf( stable(skolemFOFtoCNF_E) )],[refute_0_6,refute_0_60]) ).
cnf(refute_0_62,plain,
( greater(zero,growth_rate(first_movers,skolemFOFtoCNF_T(skolemFOFtoCNF_E,skolemFOFtoCNF_To(skolemFOFtoCNF_E))))
| greater(zero,growth_rate(first_movers,skolemFOFtoCNF_T_1(skolemFOFtoCNF_T2(skolemFOFtoCNF_E)))) ),
inference(resolve,[$cnf( greater_or_equal(skolemFOFtoCNF_T(skolemFOFtoCNF_E,skolemFOFtoCNF_To(skolemFOFtoCNF_E)),skolemFOFtoCNF_To(skolemFOFtoCNF_E)) )],[refute_0_50,refute_0_61]) ).
cnf(refute_0_63,plain,
( ~ in_environment(skolemFOFtoCNF_E,skolemFOFtoCNF_To(skolemFOFtoCNF_E))
| greater(zero,growth_rate(first_movers,skolemFOFtoCNF_T_1(skolemFOFtoCNF_T2(skolemFOFtoCNF_E)))) ),
inference(resolve,[$cnf( greater(zero,growth_rate(first_movers,skolemFOFtoCNF_T(skolemFOFtoCNF_E,skolemFOFtoCNF_To(skolemFOFtoCNF_E)))) )],[refute_0_62,refute_0_42]) ).
cnf(refute_0_64,plain,
greater(zero,growth_rate(first_movers,skolemFOFtoCNF_T_1(skolemFOFtoCNF_T2(skolemFOFtoCNF_E)))),
inference(resolve,[$cnf( in_environment(skolemFOFtoCNF_E,skolemFOFtoCNF_To(skolemFOFtoCNF_E)) )],[refute_0_11,refute_0_63]) ).
cnf(refute_0_65,plain,
~ greater(skolemFOFtoCNF_T2(skolemFOFtoCNF_E),appear(efficient_producers,skolemFOFtoCNF_E)),
inference(resolve,[$cnf( greater(zero,growth_rate(first_movers,skolemFOFtoCNF_T_1(skolemFOFtoCNF_T2(skolemFOFtoCNF_E)))) )],[refute_0_64,refute_0_1]) ).
cnf(refute_0_66,plain,
$false,
inference(resolve,[$cnf( greater(skolemFOFtoCNF_T2(skolemFOFtoCNF_E),appear(efficient_producers,skolemFOFtoCNF_E)) )],[refute_0_31,refute_0_65]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : MGT028+1 : TPTP v8.1.0. Released v2.0.0.
% 0.12/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n018.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Thu Jun 9 09:35:23 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.18/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.18/0.35 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.35
% 0.18/0.35 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.18/0.37
%------------------------------------------------------------------------------