TSTP Solution File: MGT024+1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : MGT024+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n029.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 22:18:55 EDT 2022
% Result : Theorem 0.12s 0.36s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 16
% Syntax : Number of formulae : 196 ( 41 unt; 0 def)
% Number of atoms : 793 ( 121 equ)
% Maximal formula atoms : 48 ( 4 avg)
% Number of connectives : 997 ( 400 ~; 478 |; 104 &)
% ( 0 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 7 usr; 1 prp; 0-4 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 138 ( 0 sgn 102 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mp_time_point_occur,axiom,
! [E,T] :
( ( environment(E)
& subpopulations(first_movers,efficient_producers,E,T) )
=> in_environment(E,T) ) ).
fof(mp_positive_number_of_organizations,axiom,
! [E,T] :
( ( environment(E)
& subpopulations(first_movers,efficient_producers,E,T) )
=> greater(number_of_organizations(E,T),zero) ) ).
fof(mp_equilibrium,axiom,
! [E,T] :
( ( environment(E)
& greater_or_equal(T,equilibrium(E)) )
=> ~ greater(equilibrium(E),T) ) ).
fof(a3,hypothesis,
! [E,T] :
( ( environment(E)
& in_environment(E,T)
& greater(number_of_organizations(E,T),zero) )
=> ( ( greater(equilibrium(E),T)
=> decreases(resources(E,T)) )
& ( ~ greater(equilibrium(E),T)
=> constant(resources(E,T)) ) ) ) ).
fof(a6,hypothesis,
! [E,T] :
( ( environment(E)
& in_environment(E,T) )
=> ( ( decreases(resources(E,T))
=> ~ decreases(number_of_organizations(E,T)) )
& ( constant(resources(E,T))
=> constant(number_of_organizations(E,T)) ) ) ) ).
fof(l7,hypothesis,
! [E,T] :
( ( environment(E)
& subpopulations(first_movers,efficient_producers,E,T)
& constant(number_of_organizations(E,T)) )
=> ( ( growth_rate(first_movers,T) = zero
& growth_rate(efficient_producers,T) = zero )
| ( greater(growth_rate(first_movers,T),zero)
& greater(zero,growth_rate(efficient_producers,T)) )
| ( greater(growth_rate(efficient_producers,T),zero)
& greater(zero,growth_rate(first_movers,T)) ) ) ) ).
fof(prove_l6,conjecture,
! [E,T] :
( ( environment(E)
& subpopulations(first_movers,efficient_producers,E,T)
& greater_or_equal(T,equilibrium(E)) )
=> ( ( growth_rate(first_movers,T) = zero
& growth_rate(efficient_producers,T) = zero )
| ( greater(growth_rate(first_movers,T),zero)
& greater(zero,growth_rate(efficient_producers,T)) )
| ( greater(growth_rate(efficient_producers,T),zero)
& greater(zero,growth_rate(first_movers,T)) ) ) ) ).
fof(subgoal_0,plain,
! [E,T] :
( ( environment(E)
& subpopulations(first_movers,efficient_producers,E,T)
& greater_or_equal(T,equilibrium(E))
& ~ ( growth_rate(first_movers,T) = zero
& growth_rate(efficient_producers,T) = zero )
& ~ ( greater(growth_rate(first_movers,T),zero)
& greater(zero,growth_rate(efficient_producers,T)) ) )
=> greater(growth_rate(efficient_producers,T),zero) ),
inference(strip,[],[prove_l6]) ).
fof(subgoal_1,plain,
! [E,T] :
( ( environment(E)
& subpopulations(first_movers,efficient_producers,E,T)
& greater_or_equal(T,equilibrium(E))
& ~ ( growth_rate(first_movers,T) = zero
& growth_rate(efficient_producers,T) = zero )
& ~ ( greater(growth_rate(first_movers,T),zero)
& greater(zero,growth_rate(efficient_producers,T)) )
& greater(growth_rate(efficient_producers,T),zero) )
=> greater(zero,growth_rate(first_movers,T)) ),
inference(strip,[],[prove_l6]) ).
fof(negate_0_0,plain,
~ ! [E,T] :
( ( environment(E)
& subpopulations(first_movers,efficient_producers,E,T)
& greater_or_equal(T,equilibrium(E))
& ~ ( growth_rate(first_movers,T) = zero
& growth_rate(efficient_producers,T) = zero )
& ~ ( greater(growth_rate(first_movers,T),zero)
& greater(zero,growth_rate(efficient_producers,T)) ) )
=> greater(growth_rate(efficient_producers,T),zero) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [E,T] :
( ~ greater(growth_rate(efficient_producers,T),zero)
& environment(E)
& greater_or_equal(T,equilibrium(E))
& subpopulations(first_movers,efficient_producers,E,T)
& ( growth_rate(efficient_producers,T) != zero
| growth_rate(first_movers,T) != zero )
& ( ~ greater(growth_rate(first_movers,T),zero)
| ~ greater(zero,growth_rate(efficient_producers,T)) ) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
( ~ greater(growth_rate(efficient_producers,skolemFOFtoCNF_T),zero)
& environment(skolemFOFtoCNF_E)
& greater_or_equal(skolemFOFtoCNF_T,equilibrium(skolemFOFtoCNF_E))
& subpopulations(first_movers,efficient_producers,skolemFOFtoCNF_E,skolemFOFtoCNF_T)
& ( growth_rate(efficient_producers,skolemFOFtoCNF_T) != zero
| growth_rate(first_movers,skolemFOFtoCNF_T) != zero )
& ( ~ greater(growth_rate(first_movers,skolemFOFtoCNF_T),zero)
| ~ greater(zero,growth_rate(efficient_producers,skolemFOFtoCNF_T)) ) ),
inference(skolemize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
subpopulations(first_movers,efficient_producers,skolemFOFtoCNF_E,skolemFOFtoCNF_T),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [E,T] :
( ~ constant(number_of_organizations(E,T))
| ~ environment(E)
| ~ subpopulations(first_movers,efficient_producers,E,T)
| ( growth_rate(efficient_producers,T) = zero
& growth_rate(first_movers,T) = zero )
| ( greater(growth_rate(efficient_producers,T),zero)
& greater(zero,growth_rate(first_movers,T)) )
| ( greater(growth_rate(first_movers,T),zero)
& greater(zero,growth_rate(efficient_producers,T)) ) ),
inference(canonicalize,[],[l7]) ).
fof(normalize_0_4,plain,
! [E,T] :
( ~ constant(number_of_organizations(E,T))
| ~ environment(E)
| ~ subpopulations(first_movers,efficient_producers,E,T)
| ( growth_rate(efficient_producers,T) = zero
& growth_rate(first_movers,T) = zero )
| ( greater(growth_rate(efficient_producers,T),zero)
& greater(zero,growth_rate(first_movers,T)) )
| ( greater(growth_rate(first_movers,T),zero)
& greater(zero,growth_rate(efficient_producers,T)) ) ),
inference(specialize,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
! [E,T] :
( ( ~ constant(number_of_organizations(E,T))
| ~ environment(E)
| ~ subpopulations(first_movers,efficient_producers,E,T)
| growth_rate(efficient_producers,T) = zero
| greater(growth_rate(efficient_producers,T),zero)
| greater(growth_rate(first_movers,T),zero) )
& ( ~ constant(number_of_organizations(E,T))
| ~ environment(E)
| ~ subpopulations(first_movers,efficient_producers,E,T)
| growth_rate(efficient_producers,T) = zero
| greater(growth_rate(efficient_producers,T),zero)
| greater(zero,growth_rate(efficient_producers,T)) )
& ( ~ constant(number_of_organizations(E,T))
| ~ environment(E)
| ~ subpopulations(first_movers,efficient_producers,E,T)
| growth_rate(efficient_producers,T) = zero
| greater(growth_rate(first_movers,T),zero)
| greater(zero,growth_rate(first_movers,T)) )
& ( ~ constant(number_of_organizations(E,T))
| ~ environment(E)
| ~ subpopulations(first_movers,efficient_producers,E,T)
| growth_rate(efficient_producers,T) = zero
| greater(zero,growth_rate(efficient_producers,T))
| greater(zero,growth_rate(first_movers,T)) )
& ( ~ constant(number_of_organizations(E,T))
| ~ environment(E)
| ~ subpopulations(first_movers,efficient_producers,E,T)
| growth_rate(first_movers,T) = zero
| greater(growth_rate(efficient_producers,T),zero)
| greater(growth_rate(first_movers,T),zero) )
& ( ~ constant(number_of_organizations(E,T))
| ~ environment(E)
| ~ subpopulations(first_movers,efficient_producers,E,T)
| growth_rate(first_movers,T) = zero
| greater(growth_rate(efficient_producers,T),zero)
| greater(zero,growth_rate(efficient_producers,T)) )
& ( ~ constant(number_of_organizations(E,T))
| ~ environment(E)
| ~ subpopulations(first_movers,efficient_producers,E,T)
| growth_rate(first_movers,T) = zero
| greater(growth_rate(first_movers,T),zero)
| greater(zero,growth_rate(first_movers,T)) )
& ( ~ constant(number_of_organizations(E,T))
| ~ environment(E)
| ~ subpopulations(first_movers,efficient_producers,E,T)
| growth_rate(first_movers,T) = zero
| greater(zero,growth_rate(efficient_producers,T))
| greater(zero,growth_rate(first_movers,T)) ) ),
inference(clausify,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
! [E,T] :
( ~ constant(number_of_organizations(E,T))
| ~ environment(E)
| ~ subpopulations(first_movers,efficient_producers,E,T)
| growth_rate(first_movers,T) = zero
| greater(growth_rate(efficient_producers,T),zero)
| greater(zero,growth_rate(efficient_producers,T)) ),
inference(conjunct,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
( ~ greater(growth_rate(first_movers,skolemFOFtoCNF_T),zero)
| ~ greater(zero,growth_rate(efficient_producers,skolemFOFtoCNF_T)) ),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_8,plain,
! [E,T] :
( ~ constant(number_of_organizations(E,T))
| ~ environment(E)
| ~ subpopulations(first_movers,efficient_producers,E,T)
| growth_rate(efficient_producers,T) = zero
| greater(growth_rate(efficient_producers,T),zero)
| greater(growth_rate(first_movers,T),zero) ),
inference(conjunct,[],[normalize_0_5]) ).
fof(normalize_0_9,plain,
! [E,T] :
( ~ environment(E)
| ~ in_environment(E,T)
| ( ( ~ constant(resources(E,T))
| constant(number_of_organizations(E,T)) )
& ( ~ decreases(number_of_organizations(E,T))
| ~ decreases(resources(E,T)) ) ) ),
inference(canonicalize,[],[a6]) ).
fof(normalize_0_10,plain,
! [E,T] :
( ~ environment(E)
| ~ in_environment(E,T)
| ( ( ~ constant(resources(E,T))
| constant(number_of_organizations(E,T)) )
& ( ~ decreases(number_of_organizations(E,T))
| ~ decreases(resources(E,T)) ) ) ),
inference(specialize,[],[normalize_0_9]) ).
fof(normalize_0_11,plain,
! [E,T] :
( ( ~ constant(resources(E,T))
| ~ environment(E)
| ~ in_environment(E,T)
| constant(number_of_organizations(E,T)) )
& ( ~ decreases(number_of_organizations(E,T))
| ~ decreases(resources(E,T))
| ~ environment(E)
| ~ in_environment(E,T) ) ),
inference(clausify,[],[normalize_0_10]) ).
fof(normalize_0_12,plain,
! [E,T] :
( ~ constant(resources(E,T))
| ~ environment(E)
| ~ in_environment(E,T)
| constant(number_of_organizations(E,T)) ),
inference(conjunct,[],[normalize_0_11]) ).
fof(normalize_0_13,plain,
! [E,T] :
( ~ environment(E)
| ~ subpopulations(first_movers,efficient_producers,E,T)
| greater(number_of_organizations(E,T),zero) ),
inference(canonicalize,[],[mp_positive_number_of_organizations]) ).
fof(normalize_0_14,plain,
! [E,T] :
( ~ environment(E)
| ~ subpopulations(first_movers,efficient_producers,E,T)
| greater(number_of_organizations(E,T),zero) ),
inference(specialize,[],[normalize_0_13]) ).
fof(normalize_0_15,plain,
environment(skolemFOFtoCNF_E),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_16,plain,
! [E,T] :
( ~ environment(E)
| ~ greater(number_of_organizations(E,T),zero)
| ~ in_environment(E,T)
| ( ( ~ greater(equilibrium(E),T)
| decreases(resources(E,T)) )
& ( constant(resources(E,T))
| greater(equilibrium(E),T) ) ) ),
inference(canonicalize,[],[a3]) ).
fof(normalize_0_17,plain,
! [E,T] :
( ~ environment(E)
| ~ greater(number_of_organizations(E,T),zero)
| ~ in_environment(E,T)
| ( ( ~ greater(equilibrium(E),T)
| decreases(resources(E,T)) )
& ( constant(resources(E,T))
| greater(equilibrium(E),T) ) ) ),
inference(specialize,[],[normalize_0_16]) ).
fof(normalize_0_18,plain,
! [E,T] :
( ( ~ environment(E)
| ~ greater(equilibrium(E),T)
| ~ greater(number_of_organizations(E,T),zero)
| ~ in_environment(E,T)
| decreases(resources(E,T)) )
& ( ~ environment(E)
| ~ greater(number_of_organizations(E,T),zero)
| ~ in_environment(E,T)
| constant(resources(E,T))
| greater(equilibrium(E),T) ) ),
inference(clausify,[],[normalize_0_17]) ).
fof(normalize_0_19,plain,
! [E,T] :
( ~ environment(E)
| ~ greater(number_of_organizations(E,T),zero)
| ~ in_environment(E,T)
| constant(resources(E,T))
| greater(equilibrium(E),T) ),
inference(conjunct,[],[normalize_0_18]) ).
fof(normalize_0_20,plain,
! [E,T] :
( ~ environment(E)
| ~ subpopulations(first_movers,efficient_producers,E,T)
| in_environment(E,T) ),
inference(canonicalize,[],[mp_time_point_occur]) ).
fof(normalize_0_21,plain,
! [E,T] :
( ~ environment(E)
| ~ subpopulations(first_movers,efficient_producers,E,T)
| in_environment(E,T) ),
inference(specialize,[],[normalize_0_20]) ).
fof(normalize_0_22,plain,
greater_or_equal(skolemFOFtoCNF_T,equilibrium(skolemFOFtoCNF_E)),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_23,plain,
! [E,T] :
( ~ environment(E)
| ~ greater(equilibrium(E),T)
| ~ greater_or_equal(T,equilibrium(E)) ),
inference(canonicalize,[],[mp_equilibrium]) ).
fof(normalize_0_24,plain,
! [E,T] :
( ~ environment(E)
| ~ greater(equilibrium(E),T)
| ~ greater_or_equal(T,equilibrium(E)) ),
inference(specialize,[],[normalize_0_23]) ).
fof(normalize_0_25,plain,
~ greater(growth_rate(efficient_producers,skolemFOFtoCNF_T),zero),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_26,plain,
! [E,T] :
( ~ constant(number_of_organizations(E,T))
| ~ environment(E)
| ~ subpopulations(first_movers,efficient_producers,E,T)
| growth_rate(efficient_producers,T) = zero
| greater(growth_rate(efficient_producers,T),zero)
| greater(zero,growth_rate(efficient_producers,T)) ),
inference(conjunct,[],[normalize_0_5]) ).
fof(normalize_0_27,plain,
( growth_rate(efficient_producers,skolemFOFtoCNF_T) != zero
| growth_rate(first_movers,skolemFOFtoCNF_T) != zero ),
inference(conjunct,[],[normalize_0_1]) ).
cnf(refute_0_0,plain,
subpopulations(first_movers,efficient_producers,skolemFOFtoCNF_E,skolemFOFtoCNF_T),
inference(canonicalize,[],[normalize_0_2]) ).
cnf(refute_0_1,plain,
( ~ constant(number_of_organizations(E,T))
| ~ environment(E)
| ~ subpopulations(first_movers,efficient_producers,E,T)
| growth_rate(first_movers,T) = zero
| greater(growth_rate(efficient_producers,T),zero)
| greater(zero,growth_rate(efficient_producers,T)) ),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_2,plain,
( ~ constant(number_of_organizations(skolemFOFtoCNF_E,skolemFOFtoCNF_T))
| ~ environment(skolemFOFtoCNF_E)
| ~ subpopulations(first_movers,efficient_producers,skolemFOFtoCNF_E,skolemFOFtoCNF_T)
| growth_rate(first_movers,skolemFOFtoCNF_T) = zero
| greater(growth_rate(efficient_producers,skolemFOFtoCNF_T),zero)
| greater(zero,growth_rate(efficient_producers,skolemFOFtoCNF_T)) ),
inference(subst,[],[refute_0_1:[bind(E,$fot(skolemFOFtoCNF_E)),bind(T,$fot(skolemFOFtoCNF_T))]]) ).
cnf(refute_0_3,plain,
( ~ constant(number_of_organizations(skolemFOFtoCNF_E,skolemFOFtoCNF_T))
| ~ environment(skolemFOFtoCNF_E)
| growth_rate(first_movers,skolemFOFtoCNF_T) = zero
| greater(growth_rate(efficient_producers,skolemFOFtoCNF_T),zero)
| greater(zero,growth_rate(efficient_producers,skolemFOFtoCNF_T)) ),
inference(resolve,[$cnf( subpopulations(first_movers,efficient_producers,skolemFOFtoCNF_E,skolemFOFtoCNF_T) )],[refute_0_0,refute_0_2]) ).
cnf(refute_0_4,plain,
( ~ greater(growth_rate(first_movers,skolemFOFtoCNF_T),zero)
| ~ greater(zero,growth_rate(efficient_producers,skolemFOFtoCNF_T)) ),
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_5,plain,
( ~ constant(number_of_organizations(E,T))
| ~ environment(E)
| ~ subpopulations(first_movers,efficient_producers,E,T)
| growth_rate(efficient_producers,T) = zero
| greater(growth_rate(efficient_producers,T),zero)
| greater(growth_rate(first_movers,T),zero) ),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_6,plain,
( ~ constant(number_of_organizations(skolemFOFtoCNF_E,skolemFOFtoCNF_T))
| ~ environment(skolemFOFtoCNF_E)
| ~ subpopulations(first_movers,efficient_producers,skolemFOFtoCNF_E,skolemFOFtoCNF_T)
| growth_rate(efficient_producers,skolemFOFtoCNF_T) = zero
| greater(growth_rate(efficient_producers,skolemFOFtoCNF_T),zero)
| greater(growth_rate(first_movers,skolemFOFtoCNF_T),zero) ),
inference(subst,[],[refute_0_5:[bind(E,$fot(skolemFOFtoCNF_E)),bind(T,$fot(skolemFOFtoCNF_T))]]) ).
cnf(refute_0_7,plain,
( ~ constant(number_of_organizations(skolemFOFtoCNF_E,skolemFOFtoCNF_T))
| ~ environment(skolemFOFtoCNF_E)
| growth_rate(efficient_producers,skolemFOFtoCNF_T) = zero
| greater(growth_rate(efficient_producers,skolemFOFtoCNF_T),zero)
| greater(growth_rate(first_movers,skolemFOFtoCNF_T),zero) ),
inference(resolve,[$cnf( subpopulations(first_movers,efficient_producers,skolemFOFtoCNF_E,skolemFOFtoCNF_T) )],[refute_0_0,refute_0_6]) ).
cnf(refute_0_8,plain,
( ~ constant(resources(E,T))
| ~ environment(E)
| ~ in_environment(E,T)
| constant(number_of_organizations(E,T)) ),
inference(canonicalize,[],[normalize_0_12]) ).
cnf(refute_0_9,plain,
( ~ constant(resources(skolemFOFtoCNF_E,skolemFOFtoCNF_T))
| ~ environment(skolemFOFtoCNF_E)
| ~ in_environment(skolemFOFtoCNF_E,skolemFOFtoCNF_T)
| constant(number_of_organizations(skolemFOFtoCNF_E,skolemFOFtoCNF_T)) ),
inference(subst,[],[refute_0_8:[bind(E,$fot(skolemFOFtoCNF_E)),bind(T,$fot(skolemFOFtoCNF_T))]]) ).
cnf(refute_0_10,plain,
( ~ environment(E)
| ~ subpopulations(first_movers,efficient_producers,E,T)
| greater(number_of_organizations(E,T),zero) ),
inference(canonicalize,[],[normalize_0_14]) ).
cnf(refute_0_11,plain,
( ~ environment(skolemFOFtoCNF_E)
| ~ subpopulations(first_movers,efficient_producers,skolemFOFtoCNF_E,skolemFOFtoCNF_T)
| greater(number_of_organizations(skolemFOFtoCNF_E,skolemFOFtoCNF_T),zero) ),
inference(subst,[],[refute_0_10:[bind(E,$fot(skolemFOFtoCNF_E)),bind(T,$fot(skolemFOFtoCNF_T))]]) ).
cnf(refute_0_12,plain,
( ~ environment(skolemFOFtoCNF_E)
| greater(number_of_organizations(skolemFOFtoCNF_E,skolemFOFtoCNF_T),zero) ),
inference(resolve,[$cnf( subpopulations(first_movers,efficient_producers,skolemFOFtoCNF_E,skolemFOFtoCNF_T) )],[refute_0_0,refute_0_11]) ).
cnf(refute_0_13,plain,
environment(skolemFOFtoCNF_E),
inference(canonicalize,[],[normalize_0_15]) ).
cnf(refute_0_14,plain,
greater(number_of_organizations(skolemFOFtoCNF_E,skolemFOFtoCNF_T),zero),
inference(resolve,[$cnf( environment(skolemFOFtoCNF_E) )],[refute_0_13,refute_0_12]) ).
cnf(refute_0_15,plain,
( ~ environment(E)
| ~ greater(number_of_organizations(E,T),zero)
| ~ in_environment(E,T)
| constant(resources(E,T))
| greater(equilibrium(E),T) ),
inference(canonicalize,[],[normalize_0_19]) ).
cnf(refute_0_16,plain,
( ~ environment(skolemFOFtoCNF_E)
| ~ greater(number_of_organizations(skolemFOFtoCNF_E,skolemFOFtoCNF_T),zero)
| ~ in_environment(skolemFOFtoCNF_E,skolemFOFtoCNF_T)
| constant(resources(skolemFOFtoCNF_E,skolemFOFtoCNF_T))
| greater(equilibrium(skolemFOFtoCNF_E),skolemFOFtoCNF_T) ),
inference(subst,[],[refute_0_15:[bind(E,$fot(skolemFOFtoCNF_E)),bind(T,$fot(skolemFOFtoCNF_T))]]) ).
cnf(refute_0_17,plain,
( ~ environment(skolemFOFtoCNF_E)
| ~ in_environment(skolemFOFtoCNF_E,skolemFOFtoCNF_T)
| constant(resources(skolemFOFtoCNF_E,skolemFOFtoCNF_T))
| greater(equilibrium(skolemFOFtoCNF_E),skolemFOFtoCNF_T) ),
inference(resolve,[$cnf( greater(number_of_organizations(skolemFOFtoCNF_E,skolemFOFtoCNF_T),zero) )],[refute_0_14,refute_0_16]) ).
cnf(refute_0_18,plain,
( ~ in_environment(skolemFOFtoCNF_E,skolemFOFtoCNF_T)
| constant(resources(skolemFOFtoCNF_E,skolemFOFtoCNF_T))
| greater(equilibrium(skolemFOFtoCNF_E),skolemFOFtoCNF_T) ),
inference(resolve,[$cnf( environment(skolemFOFtoCNF_E) )],[refute_0_13,refute_0_17]) ).
cnf(refute_0_19,plain,
( ~ environment(E)
| ~ subpopulations(first_movers,efficient_producers,E,T)
| in_environment(E,T) ),
inference(canonicalize,[],[normalize_0_21]) ).
cnf(refute_0_20,plain,
( ~ environment(skolemFOFtoCNF_E)
| ~ subpopulations(first_movers,efficient_producers,skolemFOFtoCNF_E,skolemFOFtoCNF_T)
| in_environment(skolemFOFtoCNF_E,skolemFOFtoCNF_T) ),
inference(subst,[],[refute_0_19:[bind(E,$fot(skolemFOFtoCNF_E)),bind(T,$fot(skolemFOFtoCNF_T))]]) ).
cnf(refute_0_21,plain,
( ~ environment(skolemFOFtoCNF_E)
| in_environment(skolemFOFtoCNF_E,skolemFOFtoCNF_T) ),
inference(resolve,[$cnf( subpopulations(first_movers,efficient_producers,skolemFOFtoCNF_E,skolemFOFtoCNF_T) )],[refute_0_0,refute_0_20]) ).
cnf(refute_0_22,plain,
in_environment(skolemFOFtoCNF_E,skolemFOFtoCNF_T),
inference(resolve,[$cnf( environment(skolemFOFtoCNF_E) )],[refute_0_13,refute_0_21]) ).
cnf(refute_0_23,plain,
( constant(resources(skolemFOFtoCNF_E,skolemFOFtoCNF_T))
| greater(equilibrium(skolemFOFtoCNF_E),skolemFOFtoCNF_T) ),
inference(resolve,[$cnf( in_environment(skolemFOFtoCNF_E,skolemFOFtoCNF_T) )],[refute_0_22,refute_0_18]) ).
cnf(refute_0_24,plain,
greater_or_equal(skolemFOFtoCNF_T,equilibrium(skolemFOFtoCNF_E)),
inference(canonicalize,[],[normalize_0_22]) ).
cnf(refute_0_25,plain,
( ~ environment(E)
| ~ greater(equilibrium(E),T)
| ~ greater_or_equal(T,equilibrium(E)) ),
inference(canonicalize,[],[normalize_0_24]) ).
cnf(refute_0_26,plain,
( ~ environment(skolemFOFtoCNF_E)
| ~ greater(equilibrium(skolemFOFtoCNF_E),skolemFOFtoCNF_T)
| ~ greater_or_equal(skolemFOFtoCNF_T,equilibrium(skolemFOFtoCNF_E)) ),
inference(subst,[],[refute_0_25:[bind(E,$fot(skolemFOFtoCNF_E)),bind(T,$fot(skolemFOFtoCNF_T))]]) ).
cnf(refute_0_27,plain,
( ~ environment(skolemFOFtoCNF_E)
| ~ greater(equilibrium(skolemFOFtoCNF_E),skolemFOFtoCNF_T) ),
inference(resolve,[$cnf( greater_or_equal(skolemFOFtoCNF_T,equilibrium(skolemFOFtoCNF_E)) )],[refute_0_24,refute_0_26]) ).
cnf(refute_0_28,plain,
~ greater(equilibrium(skolemFOFtoCNF_E),skolemFOFtoCNF_T),
inference(resolve,[$cnf( environment(skolemFOFtoCNF_E) )],[refute_0_13,refute_0_27]) ).
cnf(refute_0_29,plain,
constant(resources(skolemFOFtoCNF_E,skolemFOFtoCNF_T)),
inference(resolve,[$cnf( greater(equilibrium(skolemFOFtoCNF_E),skolemFOFtoCNF_T) )],[refute_0_23,refute_0_28]) ).
cnf(refute_0_30,plain,
( ~ environment(skolemFOFtoCNF_E)
| ~ in_environment(skolemFOFtoCNF_E,skolemFOFtoCNF_T)
| constant(number_of_organizations(skolemFOFtoCNF_E,skolemFOFtoCNF_T)) ),
inference(resolve,[$cnf( constant(resources(skolemFOFtoCNF_E,skolemFOFtoCNF_T)) )],[refute_0_29,refute_0_9]) ).
cnf(refute_0_31,plain,
( ~ in_environment(skolemFOFtoCNF_E,skolemFOFtoCNF_T)
| constant(number_of_organizations(skolemFOFtoCNF_E,skolemFOFtoCNF_T)) ),
inference(resolve,[$cnf( environment(skolemFOFtoCNF_E) )],[refute_0_13,refute_0_30]) ).
cnf(refute_0_32,plain,
constant(number_of_organizations(skolemFOFtoCNF_E,skolemFOFtoCNF_T)),
inference(resolve,[$cnf( in_environment(skolemFOFtoCNF_E,skolemFOFtoCNF_T) )],[refute_0_22,refute_0_31]) ).
cnf(refute_0_33,plain,
( ~ environment(skolemFOFtoCNF_E)
| growth_rate(efficient_producers,skolemFOFtoCNF_T) = zero
| greater(growth_rate(efficient_producers,skolemFOFtoCNF_T),zero)
| greater(growth_rate(first_movers,skolemFOFtoCNF_T),zero) ),
inference(resolve,[$cnf( constant(number_of_organizations(skolemFOFtoCNF_E,skolemFOFtoCNF_T)) )],[refute_0_32,refute_0_7]) ).
cnf(refute_0_34,plain,
( growth_rate(efficient_producers,skolemFOFtoCNF_T) = zero
| greater(growth_rate(efficient_producers,skolemFOFtoCNF_T),zero)
| greater(growth_rate(first_movers,skolemFOFtoCNF_T),zero) ),
inference(resolve,[$cnf( environment(skolemFOFtoCNF_E) )],[refute_0_13,refute_0_33]) ).
cnf(refute_0_35,plain,
~ greater(growth_rate(efficient_producers,skolemFOFtoCNF_T),zero),
inference(canonicalize,[],[normalize_0_25]) ).
cnf(refute_0_36,plain,
( growth_rate(efficient_producers,skolemFOFtoCNF_T) = zero
| greater(growth_rate(first_movers,skolemFOFtoCNF_T),zero) ),
inference(resolve,[$cnf( greater(growth_rate(efficient_producers,skolemFOFtoCNF_T),zero) )],[refute_0_34,refute_0_35]) ).
cnf(refute_0_37,plain,
( ~ greater(zero,growth_rate(efficient_producers,skolemFOFtoCNF_T))
| growth_rate(efficient_producers,skolemFOFtoCNF_T) = zero ),
inference(resolve,[$cnf( greater(growth_rate(first_movers,skolemFOFtoCNF_T),zero) )],[refute_0_36,refute_0_4]) ).
cnf(refute_0_38,plain,
( ~ constant(number_of_organizations(E,T))
| ~ environment(E)
| ~ subpopulations(first_movers,efficient_producers,E,T)
| growth_rate(efficient_producers,T) = zero
| greater(growth_rate(efficient_producers,T),zero)
| greater(zero,growth_rate(efficient_producers,T)) ),
inference(canonicalize,[],[normalize_0_26]) ).
cnf(refute_0_39,plain,
( ~ constant(number_of_organizations(skolemFOFtoCNF_E,skolemFOFtoCNF_T))
| ~ environment(skolemFOFtoCNF_E)
| ~ subpopulations(first_movers,efficient_producers,skolemFOFtoCNF_E,skolemFOFtoCNF_T)
| growth_rate(efficient_producers,skolemFOFtoCNF_T) = zero
| greater(growth_rate(efficient_producers,skolemFOFtoCNF_T),zero)
| greater(zero,growth_rate(efficient_producers,skolemFOFtoCNF_T)) ),
inference(subst,[],[refute_0_38:[bind(E,$fot(skolemFOFtoCNF_E)),bind(T,$fot(skolemFOFtoCNF_T))]]) ).
cnf(refute_0_40,plain,
( ~ constant(number_of_organizations(skolemFOFtoCNF_E,skolemFOFtoCNF_T))
| ~ environment(skolemFOFtoCNF_E)
| growth_rate(efficient_producers,skolemFOFtoCNF_T) = zero
| greater(growth_rate(efficient_producers,skolemFOFtoCNF_T),zero)
| greater(zero,growth_rate(efficient_producers,skolemFOFtoCNF_T)) ),
inference(resolve,[$cnf( subpopulations(first_movers,efficient_producers,skolemFOFtoCNF_E,skolemFOFtoCNF_T) )],[refute_0_0,refute_0_39]) ).
cnf(refute_0_41,plain,
( ~ environment(skolemFOFtoCNF_E)
| growth_rate(efficient_producers,skolemFOFtoCNF_T) = zero
| greater(growth_rate(efficient_producers,skolemFOFtoCNF_T),zero)
| greater(zero,growth_rate(efficient_producers,skolemFOFtoCNF_T)) ),
inference(resolve,[$cnf( constant(number_of_organizations(skolemFOFtoCNF_E,skolemFOFtoCNF_T)) )],[refute_0_32,refute_0_40]) ).
cnf(refute_0_42,plain,
( growth_rate(efficient_producers,skolemFOFtoCNF_T) = zero
| greater(growth_rate(efficient_producers,skolemFOFtoCNF_T),zero)
| greater(zero,growth_rate(efficient_producers,skolemFOFtoCNF_T)) ),
inference(resolve,[$cnf( environment(skolemFOFtoCNF_E) )],[refute_0_13,refute_0_41]) ).
cnf(refute_0_43,plain,
( growth_rate(efficient_producers,skolemFOFtoCNF_T) = zero
| greater(zero,growth_rate(efficient_producers,skolemFOFtoCNF_T)) ),
inference(resolve,[$cnf( greater(growth_rate(efficient_producers,skolemFOFtoCNF_T),zero) )],[refute_0_42,refute_0_35]) ).
cnf(refute_0_44,plain,
growth_rate(efficient_producers,skolemFOFtoCNF_T) = zero,
inference(resolve,[$cnf( greater(zero,growth_rate(efficient_producers,skolemFOFtoCNF_T)) )],[refute_0_43,refute_0_37]) ).
cnf(refute_0_45,plain,
( growth_rate(efficient_producers,skolemFOFtoCNF_T) != zero
| ~ greater(growth_rate(efficient_producers,skolemFOFtoCNF_T),zero)
| greater(zero,zero) ),
introduced(tautology,[equality,[$cnf( greater(growth_rate(efficient_producers,skolemFOFtoCNF_T),zero) ),[0],$fot(zero)]]) ).
cnf(refute_0_46,plain,
( ~ greater(growth_rate(efficient_producers,skolemFOFtoCNF_T),zero)
| greater(zero,zero) ),
inference(resolve,[$cnf( $equal(growth_rate(efficient_producers,skolemFOFtoCNF_T),zero) )],[refute_0_44,refute_0_45]) ).
cnf(refute_0_47,plain,
( ~ constant(number_of_organizations(skolemFOFtoCNF_E,skolemFOFtoCNF_T))
| ~ environment(skolemFOFtoCNF_E)
| growth_rate(first_movers,skolemFOFtoCNF_T) = zero
| greater(zero,growth_rate(efficient_producers,skolemFOFtoCNF_T))
| greater(zero,zero) ),
inference(resolve,[$cnf( greater(growth_rate(efficient_producers,skolemFOFtoCNF_T),zero) )],[refute_0_3,refute_0_46]) ).
cnf(refute_0_48,plain,
( growth_rate(efficient_producers,skolemFOFtoCNF_T) != zero
| ~ greater(zero,growth_rate(efficient_producers,skolemFOFtoCNF_T))
| greater(zero,zero) ),
introduced(tautology,[equality,[$cnf( greater(zero,growth_rate(efficient_producers,skolemFOFtoCNF_T)) ),[1],$fot(zero)]]) ).
cnf(refute_0_49,plain,
( ~ greater(zero,growth_rate(efficient_producers,skolemFOFtoCNF_T))
| greater(zero,zero) ),
inference(resolve,[$cnf( $equal(growth_rate(efficient_producers,skolemFOFtoCNF_T),zero) )],[refute_0_44,refute_0_48]) ).
cnf(refute_0_50,plain,
( ~ constant(number_of_organizations(skolemFOFtoCNF_E,skolemFOFtoCNF_T))
| ~ environment(skolemFOFtoCNF_E)
| growth_rate(first_movers,skolemFOFtoCNF_T) = zero
| greater(zero,zero) ),
inference(resolve,[$cnf( greater(zero,growth_rate(efficient_producers,skolemFOFtoCNF_T)) )],[refute_0_47,refute_0_49]) ).
cnf(refute_0_51,plain,
( ~ environment(skolemFOFtoCNF_E)
| growth_rate(first_movers,skolemFOFtoCNF_T) = zero
| greater(zero,zero) ),
inference(resolve,[$cnf( constant(number_of_organizations(skolemFOFtoCNF_E,skolemFOFtoCNF_T)) )],[refute_0_32,refute_0_50]) ).
cnf(refute_0_52,plain,
( growth_rate(first_movers,skolemFOFtoCNF_T) = zero
| greater(zero,zero) ),
inference(resolve,[$cnf( environment(skolemFOFtoCNF_E) )],[refute_0_13,refute_0_51]) ).
cnf(refute_0_53,plain,
( growth_rate(efficient_producers,skolemFOFtoCNF_T) != zero
| growth_rate(first_movers,skolemFOFtoCNF_T) != zero ),
inference(canonicalize,[],[normalize_0_27]) ).
cnf(refute_0_54,plain,
( growth_rate(efficient_producers,skolemFOFtoCNF_T) != zero
| zero != zero
| growth_rate(efficient_producers,skolemFOFtoCNF_T) = zero ),
introduced(tautology,[equality,[$cnf( ~ $equal(growth_rate(efficient_producers,skolemFOFtoCNF_T),zero) ),[0],$fot(zero)]]) ).
cnf(refute_0_55,plain,
( zero != zero
| growth_rate(efficient_producers,skolemFOFtoCNF_T) = zero ),
inference(resolve,[$cnf( $equal(growth_rate(efficient_producers,skolemFOFtoCNF_T),zero) )],[refute_0_44,refute_0_54]) ).
cnf(refute_0_56,plain,
( growth_rate(first_movers,skolemFOFtoCNF_T) != zero
| zero != zero ),
inference(resolve,[$cnf( $equal(growth_rate(efficient_producers,skolemFOFtoCNF_T),zero) )],[refute_0_55,refute_0_53]) ).
cnf(refute_0_57,plain,
zero = zero,
introduced(tautology,[refl,[$fot(zero)]]) ).
cnf(refute_0_58,plain,
growth_rate(first_movers,skolemFOFtoCNF_T) != zero,
inference(resolve,[$cnf( $equal(zero,zero) )],[refute_0_57,refute_0_56]) ).
cnf(refute_0_59,plain,
greater(zero,zero),
inference(resolve,[$cnf( $equal(growth_rate(first_movers,skolemFOFtoCNF_T),zero) )],[refute_0_52,refute_0_58]) ).
cnf(refute_0_60,plain,
( growth_rate(efficient_producers,skolemFOFtoCNF_T) != zero
| ~ greater(zero,zero)
| greater(growth_rate(efficient_producers,skolemFOFtoCNF_T),zero) ),
introduced(tautology,[equality,[$cnf( ~ greater(growth_rate(efficient_producers,skolemFOFtoCNF_T),zero) ),[0],$fot(zero)]]) ).
cnf(refute_0_61,plain,
( ~ greater(zero,zero)
| greater(growth_rate(efficient_producers,skolemFOFtoCNF_T),zero) ),
inference(resolve,[$cnf( $equal(growth_rate(efficient_producers,skolemFOFtoCNF_T),zero) )],[refute_0_44,refute_0_60]) ).
cnf(refute_0_62,plain,
~ greater(zero,zero),
inference(resolve,[$cnf( greater(growth_rate(efficient_producers,skolemFOFtoCNF_T),zero) )],[refute_0_61,refute_0_35]) ).
cnf(refute_0_63,plain,
$false,
inference(resolve,[$cnf( greater(zero,zero) )],[refute_0_59,refute_0_62]) ).
fof(negate_1_0,plain,
~ ! [E,T] :
( ( environment(E)
& subpopulations(first_movers,efficient_producers,E,T)
& greater_or_equal(T,equilibrium(E))
& ~ ( growth_rate(first_movers,T) = zero
& growth_rate(efficient_producers,T) = zero )
& ~ ( greater(growth_rate(first_movers,T),zero)
& greater(zero,growth_rate(efficient_producers,T)) )
& greater(growth_rate(efficient_producers,T),zero) )
=> greater(zero,growth_rate(first_movers,T)) ),
inference(negate,[],[subgoal_1]) ).
fof(normalize_1_0,plain,
? [E,T] :
( ~ greater(zero,growth_rate(first_movers,T))
& environment(E)
& greater(growth_rate(efficient_producers,T),zero)
& greater_or_equal(T,equilibrium(E))
& subpopulations(first_movers,efficient_producers,E,T)
& ( growth_rate(efficient_producers,T) != zero
| growth_rate(first_movers,T) != zero )
& ( ~ greater(growth_rate(first_movers,T),zero)
| ~ greater(zero,growth_rate(efficient_producers,T)) ) ),
inference(canonicalize,[],[negate_1_0]) ).
fof(normalize_1_1,plain,
( ~ greater(zero,growth_rate(first_movers,skolemFOFtoCNF_T_1))
& environment(skolemFOFtoCNF_E_1)
& greater(growth_rate(efficient_producers,skolemFOFtoCNF_T_1),zero)
& greater_or_equal(skolemFOFtoCNF_T_1,equilibrium(skolemFOFtoCNF_E_1))
& subpopulations(first_movers,efficient_producers,skolemFOFtoCNF_E_1,skolemFOFtoCNF_T_1)
& ( growth_rate(efficient_producers,skolemFOFtoCNF_T_1) != zero
| growth_rate(first_movers,skolemFOFtoCNF_T_1) != zero )
& ( ~ greater(growth_rate(first_movers,skolemFOFtoCNF_T_1),zero)
| ~ greater(zero,growth_rate(efficient_producers,skolemFOFtoCNF_T_1)) ) ),
inference(skolemize,[],[normalize_1_0]) ).
fof(normalize_1_2,plain,
subpopulations(first_movers,efficient_producers,skolemFOFtoCNF_E_1,skolemFOFtoCNF_T_1),
inference(conjunct,[],[normalize_1_1]) ).
fof(normalize_1_3,plain,
! [E,T] :
( ~ constant(number_of_organizations(E,T))
| ~ environment(E)
| ~ subpopulations(first_movers,efficient_producers,E,T)
| ( growth_rate(efficient_producers,T) = zero
& growth_rate(first_movers,T) = zero )
| ( greater(growth_rate(efficient_producers,T),zero)
& greater(zero,growth_rate(first_movers,T)) )
| ( greater(growth_rate(first_movers,T),zero)
& greater(zero,growth_rate(efficient_producers,T)) ) ),
inference(canonicalize,[],[l7]) ).
fof(normalize_1_4,plain,
! [E,T] :
( ~ constant(number_of_organizations(E,T))
| ~ environment(E)
| ~ subpopulations(first_movers,efficient_producers,E,T)
| ( growth_rate(efficient_producers,T) = zero
& growth_rate(first_movers,T) = zero )
| ( greater(growth_rate(efficient_producers,T),zero)
& greater(zero,growth_rate(first_movers,T)) )
| ( greater(growth_rate(first_movers,T),zero)
& greater(zero,growth_rate(efficient_producers,T)) ) ),
inference(specialize,[],[normalize_1_3]) ).
fof(normalize_1_5,plain,
! [E,T] :
( ( ~ constant(number_of_organizations(E,T))
| ~ environment(E)
| ~ subpopulations(first_movers,efficient_producers,E,T)
| growth_rate(efficient_producers,T) = zero
| greater(growth_rate(efficient_producers,T),zero)
| greater(growth_rate(first_movers,T),zero) )
& ( ~ constant(number_of_organizations(E,T))
| ~ environment(E)
| ~ subpopulations(first_movers,efficient_producers,E,T)
| growth_rate(efficient_producers,T) = zero
| greater(growth_rate(efficient_producers,T),zero)
| greater(zero,growth_rate(efficient_producers,T)) )
& ( ~ constant(number_of_organizations(E,T))
| ~ environment(E)
| ~ subpopulations(first_movers,efficient_producers,E,T)
| growth_rate(efficient_producers,T) = zero
| greater(growth_rate(first_movers,T),zero)
| greater(zero,growth_rate(first_movers,T)) )
& ( ~ constant(number_of_organizations(E,T))
| ~ environment(E)
| ~ subpopulations(first_movers,efficient_producers,E,T)
| growth_rate(efficient_producers,T) = zero
| greater(zero,growth_rate(efficient_producers,T))
| greater(zero,growth_rate(first_movers,T)) )
& ( ~ constant(number_of_organizations(E,T))
| ~ environment(E)
| ~ subpopulations(first_movers,efficient_producers,E,T)
| growth_rate(first_movers,T) = zero
| greater(growth_rate(efficient_producers,T),zero)
| greater(growth_rate(first_movers,T),zero) )
& ( ~ constant(number_of_organizations(E,T))
| ~ environment(E)
| ~ subpopulations(first_movers,efficient_producers,E,T)
| growth_rate(first_movers,T) = zero
| greater(growth_rate(efficient_producers,T),zero)
| greater(zero,growth_rate(efficient_producers,T)) )
& ( ~ constant(number_of_organizations(E,T))
| ~ environment(E)
| ~ subpopulations(first_movers,efficient_producers,E,T)
| growth_rate(first_movers,T) = zero
| greater(growth_rate(first_movers,T),zero)
| greater(zero,growth_rate(first_movers,T)) )
& ( ~ constant(number_of_organizations(E,T))
| ~ environment(E)
| ~ subpopulations(first_movers,efficient_producers,E,T)
| growth_rate(first_movers,T) = zero
| greater(zero,growth_rate(efficient_producers,T))
| greater(zero,growth_rate(first_movers,T)) ) ),
inference(clausify,[],[normalize_1_4]) ).
fof(normalize_1_6,plain,
! [E,T] :
( ~ constant(number_of_organizations(E,T))
| ~ environment(E)
| ~ subpopulations(first_movers,efficient_producers,E,T)
| growth_rate(first_movers,T) = zero
| greater(growth_rate(first_movers,T),zero)
| greater(zero,growth_rate(first_movers,T)) ),
inference(conjunct,[],[normalize_1_5]) ).
fof(normalize_1_7,plain,
! [E,T] :
( ~ environment(E)
| ~ in_environment(E,T)
| ( ( ~ constant(resources(E,T))
| constant(number_of_organizations(E,T)) )
& ( ~ decreases(number_of_organizations(E,T))
| ~ decreases(resources(E,T)) ) ) ),
inference(canonicalize,[],[a6]) ).
fof(normalize_1_8,plain,
! [E,T] :
( ~ environment(E)
| ~ in_environment(E,T)
| ( ( ~ constant(resources(E,T))
| constant(number_of_organizations(E,T)) )
& ( ~ decreases(number_of_organizations(E,T))
| ~ decreases(resources(E,T)) ) ) ),
inference(specialize,[],[normalize_1_7]) ).
fof(normalize_1_9,plain,
! [E,T] :
( ( ~ constant(resources(E,T))
| ~ environment(E)
| ~ in_environment(E,T)
| constant(number_of_organizations(E,T)) )
& ( ~ decreases(number_of_organizations(E,T))
| ~ decreases(resources(E,T))
| ~ environment(E)
| ~ in_environment(E,T) ) ),
inference(clausify,[],[normalize_1_8]) ).
fof(normalize_1_10,plain,
! [E,T] :
( ~ constant(resources(E,T))
| ~ environment(E)
| ~ in_environment(E,T)
| constant(number_of_organizations(E,T)) ),
inference(conjunct,[],[normalize_1_9]) ).
fof(normalize_1_11,plain,
! [E,T] :
( ~ environment(E)
| ~ subpopulations(first_movers,efficient_producers,E,T)
| greater(number_of_organizations(E,T),zero) ),
inference(canonicalize,[],[mp_positive_number_of_organizations]) ).
fof(normalize_1_12,plain,
! [E,T] :
( ~ environment(E)
| ~ subpopulations(first_movers,efficient_producers,E,T)
| greater(number_of_organizations(E,T),zero) ),
inference(specialize,[],[normalize_1_11]) ).
fof(normalize_1_13,plain,
environment(skolemFOFtoCNF_E_1),
inference(conjunct,[],[normalize_1_1]) ).
fof(normalize_1_14,plain,
! [E,T] :
( ~ environment(E)
| ~ greater(number_of_organizations(E,T),zero)
| ~ in_environment(E,T)
| ( ( ~ greater(equilibrium(E),T)
| decreases(resources(E,T)) )
& ( constant(resources(E,T))
| greater(equilibrium(E),T) ) ) ),
inference(canonicalize,[],[a3]) ).
fof(normalize_1_15,plain,
! [E,T] :
( ~ environment(E)
| ~ greater(number_of_organizations(E,T),zero)
| ~ in_environment(E,T)
| ( ( ~ greater(equilibrium(E),T)
| decreases(resources(E,T)) )
& ( constant(resources(E,T))
| greater(equilibrium(E),T) ) ) ),
inference(specialize,[],[normalize_1_14]) ).
fof(normalize_1_16,plain,
! [E,T] :
( ( ~ environment(E)
| ~ greater(equilibrium(E),T)
| ~ greater(number_of_organizations(E,T),zero)
| ~ in_environment(E,T)
| decreases(resources(E,T)) )
& ( ~ environment(E)
| ~ greater(number_of_organizations(E,T),zero)
| ~ in_environment(E,T)
| constant(resources(E,T))
| greater(equilibrium(E),T) ) ),
inference(clausify,[],[normalize_1_15]) ).
fof(normalize_1_17,plain,
! [E,T] :
( ~ environment(E)
| ~ greater(number_of_organizations(E,T),zero)
| ~ in_environment(E,T)
| constant(resources(E,T))
| greater(equilibrium(E),T) ),
inference(conjunct,[],[normalize_1_16]) ).
fof(normalize_1_18,plain,
! [E,T] :
( ~ environment(E)
| ~ subpopulations(first_movers,efficient_producers,E,T)
| in_environment(E,T) ),
inference(canonicalize,[],[mp_time_point_occur]) ).
fof(normalize_1_19,plain,
! [E,T] :
( ~ environment(E)
| ~ subpopulations(first_movers,efficient_producers,E,T)
| in_environment(E,T) ),
inference(specialize,[],[normalize_1_18]) ).
fof(normalize_1_20,plain,
greater_or_equal(skolemFOFtoCNF_T_1,equilibrium(skolemFOFtoCNF_E_1)),
inference(conjunct,[],[normalize_1_1]) ).
fof(normalize_1_21,plain,
! [E,T] :
( ~ environment(E)
| ~ greater(equilibrium(E),T)
| ~ greater_or_equal(T,equilibrium(E)) ),
inference(canonicalize,[],[mp_equilibrium]) ).
fof(normalize_1_22,plain,
! [E,T] :
( ~ environment(E)
| ~ greater(equilibrium(E),T)
| ~ greater_or_equal(T,equilibrium(E)) ),
inference(specialize,[],[normalize_1_21]) ).
fof(normalize_1_23,plain,
( growth_rate(efficient_producers,skolemFOFtoCNF_T_1) != zero
| growth_rate(first_movers,skolemFOFtoCNF_T_1) != zero ),
inference(conjunct,[],[normalize_1_1]) ).
fof(normalize_1_24,plain,
( ~ greater(growth_rate(first_movers,skolemFOFtoCNF_T_1),zero)
| ~ greater(zero,growth_rate(efficient_producers,skolemFOFtoCNF_T_1)) ),
inference(conjunct,[],[normalize_1_1]) ).
fof(normalize_1_25,plain,
! [E,T] :
( ~ constant(number_of_organizations(E,T))
| ~ environment(E)
| ~ subpopulations(first_movers,efficient_producers,E,T)
| growth_rate(efficient_producers,T) = zero
| greater(growth_rate(first_movers,T),zero)
| greater(zero,growth_rate(first_movers,T)) ),
inference(conjunct,[],[normalize_1_5]) ).
fof(normalize_1_26,plain,
~ greater(zero,growth_rate(first_movers,skolemFOFtoCNF_T_1)),
inference(conjunct,[],[normalize_1_1]) ).
fof(normalize_1_27,plain,
! [E,T] :
( ~ constant(number_of_organizations(E,T))
| ~ environment(E)
| ~ subpopulations(first_movers,efficient_producers,E,T)
| growth_rate(efficient_producers,T) = zero
| greater(zero,growth_rate(efficient_producers,T))
| greater(zero,growth_rate(first_movers,T)) ),
inference(conjunct,[],[normalize_1_5]) ).
fof(normalize_1_28,plain,
greater(growth_rate(efficient_producers,skolemFOFtoCNF_T_1),zero),
inference(conjunct,[],[normalize_1_1]) ).
cnf(refute_1_0,plain,
subpopulations(first_movers,efficient_producers,skolemFOFtoCNF_E_1,skolemFOFtoCNF_T_1),
inference(canonicalize,[],[normalize_1_2]) ).
cnf(refute_1_1,plain,
( ~ constant(number_of_organizations(E,T))
| ~ environment(E)
| ~ subpopulations(first_movers,efficient_producers,E,T)
| growth_rate(first_movers,T) = zero
| greater(growth_rate(first_movers,T),zero)
| greater(zero,growth_rate(first_movers,T)) ),
inference(canonicalize,[],[normalize_1_6]) ).
cnf(refute_1_2,plain,
( ~ constant(number_of_organizations(skolemFOFtoCNF_E_1,skolemFOFtoCNF_T_1))
| ~ environment(skolemFOFtoCNF_E_1)
| ~ subpopulations(first_movers,efficient_producers,skolemFOFtoCNF_E_1,skolemFOFtoCNF_T_1)
| growth_rate(first_movers,skolemFOFtoCNF_T_1) = zero
| greater(growth_rate(first_movers,skolemFOFtoCNF_T_1),zero)
| greater(zero,growth_rate(first_movers,skolemFOFtoCNF_T_1)) ),
inference(subst,[],[refute_1_1:[bind(E,$fot(skolemFOFtoCNF_E_1)),bind(T,$fot(skolemFOFtoCNF_T_1))]]) ).
cnf(refute_1_3,plain,
( ~ constant(number_of_organizations(skolemFOFtoCNF_E_1,skolemFOFtoCNF_T_1))
| ~ environment(skolemFOFtoCNF_E_1)
| growth_rate(first_movers,skolemFOFtoCNF_T_1) = zero
| greater(growth_rate(first_movers,skolemFOFtoCNF_T_1),zero)
| greater(zero,growth_rate(first_movers,skolemFOFtoCNF_T_1)) ),
inference(resolve,[$cnf( subpopulations(first_movers,efficient_producers,skolemFOFtoCNF_E_1,skolemFOFtoCNF_T_1) )],[refute_1_0,refute_1_2]) ).
cnf(refute_1_4,plain,
( ~ constant(resources(E,T))
| ~ environment(E)
| ~ in_environment(E,T)
| constant(number_of_organizations(E,T)) ),
inference(canonicalize,[],[normalize_1_10]) ).
cnf(refute_1_5,plain,
( ~ constant(resources(skolemFOFtoCNF_E_1,skolemFOFtoCNF_T_1))
| ~ environment(skolemFOFtoCNF_E_1)
| ~ in_environment(skolemFOFtoCNF_E_1,skolemFOFtoCNF_T_1)
| constant(number_of_organizations(skolemFOFtoCNF_E_1,skolemFOFtoCNF_T_1)) ),
inference(subst,[],[refute_1_4:[bind(E,$fot(skolemFOFtoCNF_E_1)),bind(T,$fot(skolemFOFtoCNF_T_1))]]) ).
cnf(refute_1_6,plain,
( ~ environment(E)
| ~ subpopulations(first_movers,efficient_producers,E,T)
| greater(number_of_organizations(E,T),zero) ),
inference(canonicalize,[],[normalize_1_12]) ).
cnf(refute_1_7,plain,
( ~ environment(skolemFOFtoCNF_E_1)
| ~ subpopulations(first_movers,efficient_producers,skolemFOFtoCNF_E_1,skolemFOFtoCNF_T_1)
| greater(number_of_organizations(skolemFOFtoCNF_E_1,skolemFOFtoCNF_T_1),zero) ),
inference(subst,[],[refute_1_6:[bind(E,$fot(skolemFOFtoCNF_E_1)),bind(T,$fot(skolemFOFtoCNF_T_1))]]) ).
cnf(refute_1_8,plain,
( ~ environment(skolemFOFtoCNF_E_1)
| greater(number_of_organizations(skolemFOFtoCNF_E_1,skolemFOFtoCNF_T_1),zero) ),
inference(resolve,[$cnf( subpopulations(first_movers,efficient_producers,skolemFOFtoCNF_E_1,skolemFOFtoCNF_T_1) )],[refute_1_0,refute_1_7]) ).
cnf(refute_1_9,plain,
environment(skolemFOFtoCNF_E_1),
inference(canonicalize,[],[normalize_1_13]) ).
cnf(refute_1_10,plain,
greater(number_of_organizations(skolemFOFtoCNF_E_1,skolemFOFtoCNF_T_1),zero),
inference(resolve,[$cnf( environment(skolemFOFtoCNF_E_1) )],[refute_1_9,refute_1_8]) ).
cnf(refute_1_11,plain,
( ~ environment(E)
| ~ greater(number_of_organizations(E,T),zero)
| ~ in_environment(E,T)
| constant(resources(E,T))
| greater(equilibrium(E),T) ),
inference(canonicalize,[],[normalize_1_17]) ).
cnf(refute_1_12,plain,
( ~ environment(skolemFOFtoCNF_E_1)
| ~ greater(number_of_organizations(skolemFOFtoCNF_E_1,skolemFOFtoCNF_T_1),zero)
| ~ in_environment(skolemFOFtoCNF_E_1,skolemFOFtoCNF_T_1)
| constant(resources(skolemFOFtoCNF_E_1,skolemFOFtoCNF_T_1))
| greater(equilibrium(skolemFOFtoCNF_E_1),skolemFOFtoCNF_T_1) ),
inference(subst,[],[refute_1_11:[bind(E,$fot(skolemFOFtoCNF_E_1)),bind(T,$fot(skolemFOFtoCNF_T_1))]]) ).
cnf(refute_1_13,plain,
( ~ environment(skolemFOFtoCNF_E_1)
| ~ in_environment(skolemFOFtoCNF_E_1,skolemFOFtoCNF_T_1)
| constant(resources(skolemFOFtoCNF_E_1,skolemFOFtoCNF_T_1))
| greater(equilibrium(skolemFOFtoCNF_E_1),skolemFOFtoCNF_T_1) ),
inference(resolve,[$cnf( greater(number_of_organizations(skolemFOFtoCNF_E_1,skolemFOFtoCNF_T_1),zero) )],[refute_1_10,refute_1_12]) ).
cnf(refute_1_14,plain,
( ~ in_environment(skolemFOFtoCNF_E_1,skolemFOFtoCNF_T_1)
| constant(resources(skolemFOFtoCNF_E_1,skolemFOFtoCNF_T_1))
| greater(equilibrium(skolemFOFtoCNF_E_1),skolemFOFtoCNF_T_1) ),
inference(resolve,[$cnf( environment(skolemFOFtoCNF_E_1) )],[refute_1_9,refute_1_13]) ).
cnf(refute_1_15,plain,
( ~ environment(E)
| ~ subpopulations(first_movers,efficient_producers,E,T)
| in_environment(E,T) ),
inference(canonicalize,[],[normalize_1_19]) ).
cnf(refute_1_16,plain,
( ~ environment(skolemFOFtoCNF_E_1)
| ~ subpopulations(first_movers,efficient_producers,skolemFOFtoCNF_E_1,skolemFOFtoCNF_T_1)
| in_environment(skolemFOFtoCNF_E_1,skolemFOFtoCNF_T_1) ),
inference(subst,[],[refute_1_15:[bind(E,$fot(skolemFOFtoCNF_E_1)),bind(T,$fot(skolemFOFtoCNF_T_1))]]) ).
cnf(refute_1_17,plain,
( ~ environment(skolemFOFtoCNF_E_1)
| in_environment(skolemFOFtoCNF_E_1,skolemFOFtoCNF_T_1) ),
inference(resolve,[$cnf( subpopulations(first_movers,efficient_producers,skolemFOFtoCNF_E_1,skolemFOFtoCNF_T_1) )],[refute_1_0,refute_1_16]) ).
cnf(refute_1_18,plain,
in_environment(skolemFOFtoCNF_E_1,skolemFOFtoCNF_T_1),
inference(resolve,[$cnf( environment(skolemFOFtoCNF_E_1) )],[refute_1_9,refute_1_17]) ).
cnf(refute_1_19,plain,
( constant(resources(skolemFOFtoCNF_E_1,skolemFOFtoCNF_T_1))
| greater(equilibrium(skolemFOFtoCNF_E_1),skolemFOFtoCNF_T_1) ),
inference(resolve,[$cnf( in_environment(skolemFOFtoCNF_E_1,skolemFOFtoCNF_T_1) )],[refute_1_18,refute_1_14]) ).
cnf(refute_1_20,plain,
greater_or_equal(skolemFOFtoCNF_T_1,equilibrium(skolemFOFtoCNF_E_1)),
inference(canonicalize,[],[normalize_1_20]) ).
cnf(refute_1_21,plain,
( ~ environment(E)
| ~ greater(equilibrium(E),T)
| ~ greater_or_equal(T,equilibrium(E)) ),
inference(canonicalize,[],[normalize_1_22]) ).
cnf(refute_1_22,plain,
( ~ environment(skolemFOFtoCNF_E_1)
| ~ greater(equilibrium(skolemFOFtoCNF_E_1),skolemFOFtoCNF_T_1)
| ~ greater_or_equal(skolemFOFtoCNF_T_1,equilibrium(skolemFOFtoCNF_E_1)) ),
inference(subst,[],[refute_1_21:[bind(E,$fot(skolemFOFtoCNF_E_1)),bind(T,$fot(skolemFOFtoCNF_T_1))]]) ).
cnf(refute_1_23,plain,
( ~ environment(skolemFOFtoCNF_E_1)
| ~ greater(equilibrium(skolemFOFtoCNF_E_1),skolemFOFtoCNF_T_1) ),
inference(resolve,[$cnf( greater_or_equal(skolemFOFtoCNF_T_1,equilibrium(skolemFOFtoCNF_E_1)) )],[refute_1_20,refute_1_22]) ).
cnf(refute_1_24,plain,
~ greater(equilibrium(skolemFOFtoCNF_E_1),skolemFOFtoCNF_T_1),
inference(resolve,[$cnf( environment(skolemFOFtoCNF_E_1) )],[refute_1_9,refute_1_23]) ).
cnf(refute_1_25,plain,
constant(resources(skolemFOFtoCNF_E_1,skolemFOFtoCNF_T_1)),
inference(resolve,[$cnf( greater(equilibrium(skolemFOFtoCNF_E_1),skolemFOFtoCNF_T_1) )],[refute_1_19,refute_1_24]) ).
cnf(refute_1_26,plain,
( ~ environment(skolemFOFtoCNF_E_1)
| ~ in_environment(skolemFOFtoCNF_E_1,skolemFOFtoCNF_T_1)
| constant(number_of_organizations(skolemFOFtoCNF_E_1,skolemFOFtoCNF_T_1)) ),
inference(resolve,[$cnf( constant(resources(skolemFOFtoCNF_E_1,skolemFOFtoCNF_T_1)) )],[refute_1_25,refute_1_5]) ).
cnf(refute_1_27,plain,
( ~ in_environment(skolemFOFtoCNF_E_1,skolemFOFtoCNF_T_1)
| constant(number_of_organizations(skolemFOFtoCNF_E_1,skolemFOFtoCNF_T_1)) ),
inference(resolve,[$cnf( environment(skolemFOFtoCNF_E_1) )],[refute_1_9,refute_1_26]) ).
cnf(refute_1_28,plain,
constant(number_of_organizations(skolemFOFtoCNF_E_1,skolemFOFtoCNF_T_1)),
inference(resolve,[$cnf( in_environment(skolemFOFtoCNF_E_1,skolemFOFtoCNF_T_1) )],[refute_1_18,refute_1_27]) ).
cnf(refute_1_29,plain,
( ~ environment(skolemFOFtoCNF_E_1)
| growth_rate(first_movers,skolemFOFtoCNF_T_1) = zero
| greater(growth_rate(first_movers,skolemFOFtoCNF_T_1),zero)
| greater(zero,growth_rate(first_movers,skolemFOFtoCNF_T_1)) ),
inference(resolve,[$cnf( constant(number_of_organizations(skolemFOFtoCNF_E_1,skolemFOFtoCNF_T_1)) )],[refute_1_28,refute_1_3]) ).
cnf(refute_1_30,plain,
( growth_rate(first_movers,skolemFOFtoCNF_T_1) = zero
| greater(growth_rate(first_movers,skolemFOFtoCNF_T_1),zero)
| greater(zero,growth_rate(first_movers,skolemFOFtoCNF_T_1)) ),
inference(resolve,[$cnf( environment(skolemFOFtoCNF_E_1) )],[refute_1_9,refute_1_29]) ).
cnf(refute_1_31,plain,
( growth_rate(efficient_producers,skolemFOFtoCNF_T_1) != zero
| growth_rate(first_movers,skolemFOFtoCNF_T_1) != zero ),
inference(canonicalize,[],[normalize_1_23]) ).
cnf(refute_1_32,plain,
( ~ greater(growth_rate(first_movers,skolemFOFtoCNF_T_1),zero)
| ~ greater(zero,growth_rate(efficient_producers,skolemFOFtoCNF_T_1)) ),
inference(canonicalize,[],[normalize_1_24]) ).
cnf(refute_1_33,plain,
( ~ constant(number_of_organizations(E,T))
| ~ environment(E)
| ~ subpopulations(first_movers,efficient_producers,E,T)
| growth_rate(efficient_producers,T) = zero
| greater(growth_rate(first_movers,T),zero)
| greater(zero,growth_rate(first_movers,T)) ),
inference(canonicalize,[],[normalize_1_25]) ).
cnf(refute_1_34,plain,
( ~ constant(number_of_organizations(skolemFOFtoCNF_E_1,skolemFOFtoCNF_T_1))
| ~ environment(skolemFOFtoCNF_E_1)
| ~ subpopulations(first_movers,efficient_producers,skolemFOFtoCNF_E_1,skolemFOFtoCNF_T_1)
| growth_rate(efficient_producers,skolemFOFtoCNF_T_1) = zero
| greater(growth_rate(first_movers,skolemFOFtoCNF_T_1),zero)
| greater(zero,growth_rate(first_movers,skolemFOFtoCNF_T_1)) ),
inference(subst,[],[refute_1_33:[bind(E,$fot(skolemFOFtoCNF_E_1)),bind(T,$fot(skolemFOFtoCNF_T_1))]]) ).
cnf(refute_1_35,plain,
( ~ constant(number_of_organizations(skolemFOFtoCNF_E_1,skolemFOFtoCNF_T_1))
| ~ environment(skolemFOFtoCNF_E_1)
| growth_rate(efficient_producers,skolemFOFtoCNF_T_1) = zero
| greater(growth_rate(first_movers,skolemFOFtoCNF_T_1),zero)
| greater(zero,growth_rate(first_movers,skolemFOFtoCNF_T_1)) ),
inference(resolve,[$cnf( subpopulations(first_movers,efficient_producers,skolemFOFtoCNF_E_1,skolemFOFtoCNF_T_1) )],[refute_1_0,refute_1_34]) ).
cnf(refute_1_36,plain,
( ~ environment(skolemFOFtoCNF_E_1)
| growth_rate(efficient_producers,skolemFOFtoCNF_T_1) = zero
| greater(growth_rate(first_movers,skolemFOFtoCNF_T_1),zero)
| greater(zero,growth_rate(first_movers,skolemFOFtoCNF_T_1)) ),
inference(resolve,[$cnf( constant(number_of_organizations(skolemFOFtoCNF_E_1,skolemFOFtoCNF_T_1)) )],[refute_1_28,refute_1_35]) ).
cnf(refute_1_37,plain,
( growth_rate(efficient_producers,skolemFOFtoCNF_T_1) = zero
| greater(growth_rate(first_movers,skolemFOFtoCNF_T_1),zero)
| greater(zero,growth_rate(first_movers,skolemFOFtoCNF_T_1)) ),
inference(resolve,[$cnf( environment(skolemFOFtoCNF_E_1) )],[refute_1_9,refute_1_36]) ).
cnf(refute_1_38,plain,
~ greater(zero,growth_rate(first_movers,skolemFOFtoCNF_T_1)),
inference(canonicalize,[],[normalize_1_26]) ).
cnf(refute_1_39,plain,
( growth_rate(efficient_producers,skolemFOFtoCNF_T_1) = zero
| greater(growth_rate(first_movers,skolemFOFtoCNF_T_1),zero) ),
inference(resolve,[$cnf( greater(zero,growth_rate(first_movers,skolemFOFtoCNF_T_1)) )],[refute_1_37,refute_1_38]) ).
cnf(refute_1_40,plain,
( ~ greater(zero,growth_rate(efficient_producers,skolemFOFtoCNF_T_1))
| growth_rate(efficient_producers,skolemFOFtoCNF_T_1) = zero ),
inference(resolve,[$cnf( greater(growth_rate(first_movers,skolemFOFtoCNF_T_1),zero) )],[refute_1_39,refute_1_32]) ).
cnf(refute_1_41,plain,
( ~ constant(number_of_organizations(E,T))
| ~ environment(E)
| ~ subpopulations(first_movers,efficient_producers,E,T)
| growth_rate(efficient_producers,T) = zero
| greater(zero,growth_rate(efficient_producers,T))
| greater(zero,growth_rate(first_movers,T)) ),
inference(canonicalize,[],[normalize_1_27]) ).
cnf(refute_1_42,plain,
( ~ constant(number_of_organizations(skolemFOFtoCNF_E_1,skolemFOFtoCNF_T_1))
| ~ environment(skolemFOFtoCNF_E_1)
| ~ subpopulations(first_movers,efficient_producers,skolemFOFtoCNF_E_1,skolemFOFtoCNF_T_1)
| growth_rate(efficient_producers,skolemFOFtoCNF_T_1) = zero
| greater(zero,growth_rate(efficient_producers,skolemFOFtoCNF_T_1))
| greater(zero,growth_rate(first_movers,skolemFOFtoCNF_T_1)) ),
inference(subst,[],[refute_1_41:[bind(E,$fot(skolemFOFtoCNF_E_1)),bind(T,$fot(skolemFOFtoCNF_T_1))]]) ).
cnf(refute_1_43,plain,
( ~ constant(number_of_organizations(skolemFOFtoCNF_E_1,skolemFOFtoCNF_T_1))
| ~ environment(skolemFOFtoCNF_E_1)
| growth_rate(efficient_producers,skolemFOFtoCNF_T_1) = zero
| greater(zero,growth_rate(efficient_producers,skolemFOFtoCNF_T_1))
| greater(zero,growth_rate(first_movers,skolemFOFtoCNF_T_1)) ),
inference(resolve,[$cnf( subpopulations(first_movers,efficient_producers,skolemFOFtoCNF_E_1,skolemFOFtoCNF_T_1) )],[refute_1_0,refute_1_42]) ).
cnf(refute_1_44,plain,
( ~ environment(skolemFOFtoCNF_E_1)
| growth_rate(efficient_producers,skolemFOFtoCNF_T_1) = zero
| greater(zero,growth_rate(efficient_producers,skolemFOFtoCNF_T_1))
| greater(zero,growth_rate(first_movers,skolemFOFtoCNF_T_1)) ),
inference(resolve,[$cnf( constant(number_of_organizations(skolemFOFtoCNF_E_1,skolemFOFtoCNF_T_1)) )],[refute_1_28,refute_1_43]) ).
cnf(refute_1_45,plain,
( growth_rate(efficient_producers,skolemFOFtoCNF_T_1) = zero
| greater(zero,growth_rate(efficient_producers,skolemFOFtoCNF_T_1))
| greater(zero,growth_rate(first_movers,skolemFOFtoCNF_T_1)) ),
inference(resolve,[$cnf( environment(skolemFOFtoCNF_E_1) )],[refute_1_9,refute_1_44]) ).
cnf(refute_1_46,plain,
( growth_rate(efficient_producers,skolemFOFtoCNF_T_1) = zero
| greater(zero,growth_rate(efficient_producers,skolemFOFtoCNF_T_1)) ),
inference(resolve,[$cnf( greater(zero,growth_rate(first_movers,skolemFOFtoCNF_T_1)) )],[refute_1_45,refute_1_38]) ).
cnf(refute_1_47,plain,
growth_rate(efficient_producers,skolemFOFtoCNF_T_1) = zero,
inference(resolve,[$cnf( greater(zero,growth_rate(efficient_producers,skolemFOFtoCNF_T_1)) )],[refute_1_46,refute_1_40]) ).
cnf(refute_1_48,plain,
( growth_rate(efficient_producers,skolemFOFtoCNF_T_1) != zero
| zero != zero
| growth_rate(efficient_producers,skolemFOFtoCNF_T_1) = zero ),
introduced(tautology,[equality,[$cnf( ~ $equal(growth_rate(efficient_producers,skolemFOFtoCNF_T_1),zero) ),[0],$fot(zero)]]) ).
cnf(refute_1_49,plain,
( zero != zero
| growth_rate(efficient_producers,skolemFOFtoCNF_T_1) = zero ),
inference(resolve,[$cnf( $equal(growth_rate(efficient_producers,skolemFOFtoCNF_T_1),zero) )],[refute_1_47,refute_1_48]) ).
cnf(refute_1_50,plain,
( growth_rate(first_movers,skolemFOFtoCNF_T_1) != zero
| zero != zero ),
inference(resolve,[$cnf( $equal(growth_rate(efficient_producers,skolemFOFtoCNF_T_1),zero) )],[refute_1_49,refute_1_31]) ).
cnf(refute_1_51,plain,
zero = zero,
introduced(tautology,[refl,[$fot(zero)]]) ).
cnf(refute_1_52,plain,
growth_rate(first_movers,skolemFOFtoCNF_T_1) != zero,
inference(resolve,[$cnf( $equal(zero,zero) )],[refute_1_51,refute_1_50]) ).
cnf(refute_1_53,plain,
( greater(growth_rate(first_movers,skolemFOFtoCNF_T_1),zero)
| greater(zero,growth_rate(first_movers,skolemFOFtoCNF_T_1)) ),
inference(resolve,[$cnf( $equal(growth_rate(first_movers,skolemFOFtoCNF_T_1),zero) )],[refute_1_30,refute_1_52]) ).
cnf(refute_1_54,plain,
( growth_rate(efficient_producers,skolemFOFtoCNF_T_1) != zero
| ~ greater(zero,zero)
| greater(zero,growth_rate(efficient_producers,skolemFOFtoCNF_T_1)) ),
introduced(tautology,[equality,[$cnf( ~ greater(zero,growth_rate(efficient_producers,skolemFOFtoCNF_T_1)) ),[1],$fot(zero)]]) ).
cnf(refute_1_55,plain,
( ~ greater(zero,zero)
| greater(zero,growth_rate(efficient_producers,skolemFOFtoCNF_T_1)) ),
inference(resolve,[$cnf( $equal(growth_rate(efficient_producers,skolemFOFtoCNF_T_1),zero) )],[refute_1_47,refute_1_54]) ).
cnf(refute_1_56,plain,
( ~ greater(growth_rate(first_movers,skolemFOFtoCNF_T_1),zero)
| ~ greater(zero,zero) ),
inference(resolve,[$cnf( greater(zero,growth_rate(efficient_producers,skolemFOFtoCNF_T_1)) )],[refute_1_55,refute_1_32]) ).
cnf(refute_1_57,plain,
greater(growth_rate(efficient_producers,skolemFOFtoCNF_T_1),zero),
inference(canonicalize,[],[normalize_1_28]) ).
cnf(refute_1_58,plain,
( growth_rate(efficient_producers,skolemFOFtoCNF_T_1) != zero
| ~ greater(growth_rate(efficient_producers,skolemFOFtoCNF_T_1),zero)
| greater(zero,zero) ),
introduced(tautology,[equality,[$cnf( greater(growth_rate(efficient_producers,skolemFOFtoCNF_T_1),zero) ),[0],$fot(zero)]]) ).
cnf(refute_1_59,plain,
( ~ greater(growth_rate(efficient_producers,skolemFOFtoCNF_T_1),zero)
| greater(zero,zero) ),
inference(resolve,[$cnf( $equal(growth_rate(efficient_producers,skolemFOFtoCNF_T_1),zero) )],[refute_1_47,refute_1_58]) ).
cnf(refute_1_60,plain,
greater(zero,zero),
inference(resolve,[$cnf( greater(growth_rate(efficient_producers,skolemFOFtoCNF_T_1),zero) )],[refute_1_57,refute_1_59]) ).
cnf(refute_1_61,plain,
~ greater(growth_rate(first_movers,skolemFOFtoCNF_T_1),zero),
inference(resolve,[$cnf( greater(zero,zero) )],[refute_1_60,refute_1_56]) ).
cnf(refute_1_62,plain,
greater(zero,growth_rate(first_movers,skolemFOFtoCNF_T_1)),
inference(resolve,[$cnf( greater(growth_rate(first_movers,skolemFOFtoCNF_T_1),zero) )],[refute_1_53,refute_1_61]) ).
cnf(refute_1_63,plain,
$false,
inference(resolve,[$cnf( greater(zero,growth_rate(first_movers,skolemFOFtoCNF_T_1)) )],[refute_1_62,refute_1_38]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : MGT024+1 : TPTP v8.1.0. Released v2.0.0.
% 0.11/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n029.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 07:55:21 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.12/0.36 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.36
% 0.12/0.36 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.12/0.39
%------------------------------------------------------------------------------