TSTP Solution File: MGT025+1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : MGT025+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n020.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 22:18:56 EDT 2022
% Result : Theorem 0.13s 0.32s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 25
% Syntax : Number of formulae : 318 ( 57 unt; 0 def)
% Number of atoms : 1226 ( 195 equ)
% Maximal formula atoms : 40 ( 3 avg)
% Number of connectives : 1578 ( 670 ~; 762 |; 131 &)
% ( 0 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 11 ( 8 usr; 1 prp; 0-4 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 303 ( 4 sgn 169 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mp_only_members,axiom,
! [E,X,T] :
( ( environment(E)
& subpopulation(X,E,T)
& ( greater(cardinality_at_time(X,T),zero)
=> ( X = efficient_producers
| X = first_movers ) ) )
=> number_of_organizations(E,T) = sum(cardinality_at_time(first_movers,T),cardinality_at_time(efficient_producers,T)) ) ).
fof(mp_subpopulations,axiom,
! [E,T] :
( ( environment(E)
& in_environment(E,T) )
=> ( subpopulation(first_movers,E,T)
& subpopulation(efficient_producers,E,T) ) ) ).
fof(mp_abc_sum_increase,axiom,
! [A,B,C] :
( ( A = sum(B,C)
& constant(A) )
=> ( ( constant(B)
& constant(C) )
| ( increases(B)
& decreases(C) )
| ( decreases(B)
& increases(C) ) ) ) ).
fof(mp_growth_rate,axiom,
! [X,E,T] :
( ( environment(E)
& in_environment(E,T)
& subpopulation(X,E,T)
& greater(cardinality_at_time(X,T),zero) )
=> ( ( constant(cardinality_at_time(X,T))
=> growth_rate(X,T) = zero )
& ( increases(cardinality_at_time(X,T))
=> greater(growth_rate(X,T),zero) )
& ( decreases(cardinality_at_time(X,T))
=> greater(zero,growth_rate(X,T)) ) ) ) ).
fof(mp_non_zero_producers,axiom,
! [E,T] :
( ( environment(E)
& subpopulations(first_movers,efficient_producers,E,T) )
=> ( greater(cardinality_at_time(first_movers,T),zero)
& greater(cardinality_at_time(efficient_producers,T),zero) ) ) ).
fof(mp_time_point_occur,axiom,
! [E,T] :
( ( environment(E)
& subpopulations(first_movers,efficient_producers,E,T) )
=> in_environment(E,T) ) ).
fof(prove_l7,conjecture,
! [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(subgoal_0,plain,
! [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) ),
inference(strip,[],[prove_l7]) ).
fof(subgoal_1,plain,
! [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)) ),
inference(strip,[],[prove_l7]) ).
fof(negate_0_0,plain,
~ ! [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) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
! [E,T] :
( ~ environment(E)
| ~ in_environment(E,T)
| ( subpopulation(efficient_producers,E,T)
& subpopulation(first_movers,E,T) ) ),
inference(canonicalize,[],[mp_subpopulations]) ).
fof(normalize_0_1,plain,
! [E,T] :
( ~ environment(E)
| ~ in_environment(E,T)
| ( subpopulation(efficient_producers,E,T)
& subpopulation(first_movers,E,T) ) ),
inference(specialize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [E,T] :
( ( ~ environment(E)
| ~ in_environment(E,T)
| subpopulation(efficient_producers,E,T) )
& ( ~ environment(E)
| ~ in_environment(E,T)
| subpopulation(first_movers,E,T) ) ),
inference(clausify,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [E,T] :
( ~ environment(E)
| ~ in_environment(E,T)
| subpopulation(first_movers,E,T) ),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
? [E,T] :
( ~ greater(growth_rate(efficient_producers,T),zero)
& 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(first_movers,T),zero)
| ~ greater(zero,growth_rate(efficient_producers,T)) ) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_5,plain,
( ~ greater(growth_rate(efficient_producers,skolemFOFtoCNF_T),zero)
& 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
| 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_4]) ).
fof(normalize_0_6,plain,
subpopulations(first_movers,efficient_producers,skolemFOFtoCNF_E,skolemFOFtoCNF_T),
inference(conjunct,[],[normalize_0_5]) ).
fof(normalize_0_7,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_8,plain,
! [E,T] :
( ~ environment(E)
| ~ subpopulations(first_movers,efficient_producers,E,T)
| in_environment(E,T) ),
inference(specialize,[],[normalize_0_7]) ).
fof(normalize_0_9,plain,
environment(skolemFOFtoCNF_E),
inference(conjunct,[],[normalize_0_5]) ).
fof(normalize_0_10,plain,
! [E,T] :
( ~ environment(E)
| ~ subpopulations(first_movers,efficient_producers,E,T)
| ( greater(cardinality_at_time(efficient_producers,T),zero)
& greater(cardinality_at_time(first_movers,T),zero) ) ),
inference(canonicalize,[],[mp_non_zero_producers]) ).
fof(normalize_0_11,plain,
! [E,T] :
( ~ environment(E)
| ~ subpopulations(first_movers,efficient_producers,E,T)
| ( greater(cardinality_at_time(efficient_producers,T),zero)
& greater(cardinality_at_time(first_movers,T),zero) ) ),
inference(specialize,[],[normalize_0_10]) ).
fof(normalize_0_12,plain,
! [E,T] :
( ( ~ environment(E)
| ~ subpopulations(first_movers,efficient_producers,E,T)
| greater(cardinality_at_time(efficient_producers,T),zero) )
& ( ~ environment(E)
| ~ subpopulations(first_movers,efficient_producers,E,T)
| greater(cardinality_at_time(first_movers,T),zero) ) ),
inference(clausify,[],[normalize_0_11]) ).
fof(normalize_0_13,plain,
! [E,T] :
( ~ environment(E)
| ~ subpopulations(first_movers,efficient_producers,E,T)
| greater(cardinality_at_time(first_movers,T),zero) ),
inference(conjunct,[],[normalize_0_12]) ).
fof(normalize_0_14,plain,
! [E,T,X] :
( ~ environment(E)
| ~ greater(cardinality_at_time(X,T),zero)
| ~ in_environment(E,T)
| ~ subpopulation(X,E,T)
| ( ( ~ constant(cardinality_at_time(X,T))
| growth_rate(X,T) = zero )
& ( ~ decreases(cardinality_at_time(X,T))
| greater(zero,growth_rate(X,T)) )
& ( ~ increases(cardinality_at_time(X,T))
| greater(growth_rate(X,T),zero) ) ) ),
inference(canonicalize,[],[mp_growth_rate]) ).
fof(normalize_0_15,plain,
! [E,T,X] :
( ~ environment(E)
| ~ greater(cardinality_at_time(X,T),zero)
| ~ in_environment(E,T)
| ~ subpopulation(X,E,T)
| ( ( ~ constant(cardinality_at_time(X,T))
| growth_rate(X,T) = zero )
& ( ~ decreases(cardinality_at_time(X,T))
| greater(zero,growth_rate(X,T)) )
& ( ~ increases(cardinality_at_time(X,T))
| greater(growth_rate(X,T),zero) ) ) ),
inference(specialize,[],[normalize_0_14]) ).
fof(normalize_0_16,plain,
! [E,T,X] :
( ( ~ constant(cardinality_at_time(X,T))
| ~ environment(E)
| ~ greater(cardinality_at_time(X,T),zero)
| ~ in_environment(E,T)
| ~ subpopulation(X,E,T)
| growth_rate(X,T) = zero )
& ( ~ decreases(cardinality_at_time(X,T))
| ~ environment(E)
| ~ greater(cardinality_at_time(X,T),zero)
| ~ in_environment(E,T)
| ~ subpopulation(X,E,T)
| greater(zero,growth_rate(X,T)) )
& ( ~ environment(E)
| ~ greater(cardinality_at_time(X,T),zero)
| ~ in_environment(E,T)
| ~ increases(cardinality_at_time(X,T))
| ~ subpopulation(X,E,T)
| greater(growth_rate(X,T),zero) ) ),
inference(clausify,[],[normalize_0_15]) ).
fof(normalize_0_17,plain,
! [E,T,X] :
( ~ constant(cardinality_at_time(X,T))
| ~ environment(E)
| ~ greater(cardinality_at_time(X,T),zero)
| ~ in_environment(E,T)
| ~ subpopulation(X,E,T)
| growth_rate(X,T) = zero ),
inference(conjunct,[],[normalize_0_16]) ).
fof(normalize_0_18,plain,
! [E,T] :
( ~ environment(E)
| ~ in_environment(E,T)
| subpopulation(efficient_producers,E,T) ),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_19,plain,
! [E,T] :
( ~ environment(E)
| ~ subpopulations(first_movers,efficient_producers,E,T)
| greater(cardinality_at_time(efficient_producers,T),zero) ),
inference(conjunct,[],[normalize_0_12]) ).
fof(normalize_0_20,plain,
! [E,T,X] :
( ~ decreases(cardinality_at_time(X,T))
| ~ environment(E)
| ~ greater(cardinality_at_time(X,T),zero)
| ~ in_environment(E,T)
| ~ subpopulation(X,E,T)
| greater(zero,growth_rate(X,T)) ),
inference(conjunct,[],[normalize_0_16]) ).
fof(normalize_0_21,plain,
! [A,B,C] :
( A != sum(B,C)
| ~ constant(A)
| ( constant(B)
& constant(C) )
| ( decreases(B)
& increases(C) )
| ( decreases(C)
& increases(B) ) ),
inference(canonicalize,[],[mp_abc_sum_increase]) ).
fof(normalize_0_22,plain,
! [A,B,C] :
( A != sum(B,C)
| ~ constant(A)
| ( constant(B)
& constant(C) )
| ( decreases(B)
& increases(C) )
| ( decreases(C)
& increases(B) ) ),
inference(specialize,[],[normalize_0_21]) ).
fof(normalize_0_23,plain,
! [A,B,C] :
( ( A != sum(B,C)
| ~ constant(A)
| constant(B)
| decreases(B)
| decreases(C) )
& ( A != sum(B,C)
| ~ constant(A)
| constant(B)
| decreases(B)
| increases(B) )
& ( A != sum(B,C)
| ~ constant(A)
| constant(B)
| decreases(C)
| increases(C) )
& ( A != sum(B,C)
| ~ constant(A)
| constant(B)
| increases(B)
| increases(C) )
& ( A != sum(B,C)
| ~ constant(A)
| constant(C)
| decreases(B)
| decreases(C) )
& ( A != sum(B,C)
| ~ constant(A)
| constant(C)
| decreases(B)
| increases(B) )
& ( A != sum(B,C)
| ~ constant(A)
| constant(C)
| decreases(C)
| increases(C) )
& ( A != sum(B,C)
| ~ constant(A)
| constant(C)
| increases(B)
| increases(C) ) ),
inference(clausify,[],[normalize_0_22]) ).
fof(normalize_0_24,plain,
! [A,B,C] :
( A != sum(B,C)
| ~ constant(A)
| constant(B)
| decreases(C)
| increases(C) ),
inference(conjunct,[],[normalize_0_23]) ).
fof(normalize_0_25,plain,
! [E,T,X] :
( ~ environment(E)
| ~ subpopulation(X,E,T)
| number_of_organizations(E,T) = sum(cardinality_at_time(first_movers,T),cardinality_at_time(efficient_producers,T))
| ( X != efficient_producers
& X != first_movers
& greater(cardinality_at_time(X,T),zero) ) ),
inference(canonicalize,[],[mp_only_members]) ).
fof(normalize_0_26,plain,
! [E,T,X] :
( ~ environment(E)
| ~ subpopulation(X,E,T)
| number_of_organizations(E,T) = sum(cardinality_at_time(first_movers,T),cardinality_at_time(efficient_producers,T))
| ( X != efficient_producers
& X != first_movers
& greater(cardinality_at_time(X,T),zero) ) ),
inference(specialize,[],[normalize_0_25]) ).
fof(normalize_0_27,plain,
! [E,T,X] :
( ( X != efficient_producers
| ~ environment(E)
| ~ subpopulation(X,E,T)
| number_of_organizations(E,T) = sum(cardinality_at_time(first_movers,T),cardinality_at_time(efficient_producers,T)) )
& ( X != first_movers
| ~ environment(E)
| ~ subpopulation(X,E,T)
| number_of_organizations(E,T) = sum(cardinality_at_time(first_movers,T),cardinality_at_time(efficient_producers,T)) )
& ( ~ environment(E)
| ~ subpopulation(X,E,T)
| number_of_organizations(E,T) = sum(cardinality_at_time(first_movers,T),cardinality_at_time(efficient_producers,T))
| greater(cardinality_at_time(X,T),zero) ) ),
inference(clausify,[],[normalize_0_26]) ).
fof(normalize_0_28,plain,
! [E,T,X] :
( X != first_movers
| ~ environment(E)
| ~ subpopulation(X,E,T)
| number_of_organizations(E,T) = sum(cardinality_at_time(first_movers,T),cardinality_at_time(efficient_producers,T)) ),
inference(conjunct,[],[normalize_0_27]) ).
fof(normalize_0_29,plain,
constant(number_of_organizations(skolemFOFtoCNF_E,skolemFOFtoCNF_T)),
inference(conjunct,[],[normalize_0_5]) ).
fof(normalize_0_30,plain,
! [E,T,X] :
( ~ environment(E)
| ~ greater(cardinality_at_time(X,T),zero)
| ~ in_environment(E,T)
| ~ increases(cardinality_at_time(X,T))
| ~ subpopulation(X,E,T)
| greater(growth_rate(X,T),zero) ),
inference(conjunct,[],[normalize_0_16]) ).
fof(normalize_0_31,plain,
~ greater(growth_rate(efficient_producers,skolemFOFtoCNF_T),zero),
inference(conjunct,[],[normalize_0_5]) ).
fof(normalize_0_32,plain,
! [A,B,C] :
( A != sum(B,C)
| ~ constant(A)
| constant(C)
| decreases(C)
| increases(C) ),
inference(conjunct,[],[normalize_0_23]) ).
fof(normalize_0_33,plain,
( ~ greater(growth_rate(first_movers,skolemFOFtoCNF_T),zero)
| ~ greater(zero,growth_rate(efficient_producers,skolemFOFtoCNF_T)) ),
inference(conjunct,[],[normalize_0_5]) ).
fof(normalize_0_34,plain,
! [A,B,C] :
( A != sum(B,C)
| ~ constant(A)
| constant(C)
| increases(B)
| increases(C) ),
inference(conjunct,[],[normalize_0_23]) ).
fof(normalize_0_35,plain,
( growth_rate(efficient_producers,skolemFOFtoCNF_T) != zero
| growth_rate(first_movers,skolemFOFtoCNF_T) != zero ),
inference(conjunct,[],[normalize_0_5]) ).
cnf(refute_0_0,plain,
( ~ environment(E)
| ~ in_environment(E,T)
| subpopulation(first_movers,E,T) ),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_1,plain,
( ~ environment(skolemFOFtoCNF_E)
| ~ in_environment(skolemFOFtoCNF_E,skolemFOFtoCNF_T)
| subpopulation(first_movers,skolemFOFtoCNF_E,skolemFOFtoCNF_T) ),
inference(subst,[],[refute_0_0:[bind(E,$fot(skolemFOFtoCNF_E)),bind(T,$fot(skolemFOFtoCNF_T))]]) ).
cnf(refute_0_2,plain,
subpopulations(first_movers,efficient_producers,skolemFOFtoCNF_E,skolemFOFtoCNF_T),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_3,plain,
( ~ environment(E)
| ~ subpopulations(first_movers,efficient_producers,E,T)
| in_environment(E,T) ),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_4,plain,
( ~ environment(skolemFOFtoCNF_E)
| ~ subpopulations(first_movers,efficient_producers,skolemFOFtoCNF_E,skolemFOFtoCNF_T)
| in_environment(skolemFOFtoCNF_E,skolemFOFtoCNF_T) ),
inference(subst,[],[refute_0_3:[bind(E,$fot(skolemFOFtoCNF_E)),bind(T,$fot(skolemFOFtoCNF_T))]]) ).
cnf(refute_0_5,plain,
( ~ environment(skolemFOFtoCNF_E)
| in_environment(skolemFOFtoCNF_E,skolemFOFtoCNF_T) ),
inference(resolve,[$cnf( subpopulations(first_movers,efficient_producers,skolemFOFtoCNF_E,skolemFOFtoCNF_T) )],[refute_0_2,refute_0_4]) ).
cnf(refute_0_6,plain,
environment(skolemFOFtoCNF_E),
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_7,plain,
in_environment(skolemFOFtoCNF_E,skolemFOFtoCNF_T),
inference(resolve,[$cnf( environment(skolemFOFtoCNF_E) )],[refute_0_6,refute_0_5]) ).
cnf(refute_0_8,plain,
( ~ environment(skolemFOFtoCNF_E)
| subpopulation(first_movers,skolemFOFtoCNF_E,skolemFOFtoCNF_T) ),
inference(resolve,[$cnf( in_environment(skolemFOFtoCNF_E,skolemFOFtoCNF_T) )],[refute_0_7,refute_0_1]) ).
cnf(refute_0_9,plain,
subpopulation(first_movers,skolemFOFtoCNF_E,skolemFOFtoCNF_T),
inference(resolve,[$cnf( environment(skolemFOFtoCNF_E) )],[refute_0_6,refute_0_8]) ).
cnf(refute_0_10,plain,
( ~ environment(E)
| ~ subpopulations(first_movers,efficient_producers,E,T)
| greater(cardinality_at_time(first_movers,T),zero) ),
inference(canonicalize,[],[normalize_0_13]) ).
cnf(refute_0_11,plain,
( ~ environment(skolemFOFtoCNF_E)
| ~ subpopulations(first_movers,efficient_producers,skolemFOFtoCNF_E,skolemFOFtoCNF_T)
| greater(cardinality_at_time(first_movers,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(cardinality_at_time(first_movers,skolemFOFtoCNF_T),zero) ),
inference(resolve,[$cnf( subpopulations(first_movers,efficient_producers,skolemFOFtoCNF_E,skolemFOFtoCNF_T) )],[refute_0_2,refute_0_11]) ).
cnf(refute_0_13,plain,
greater(cardinality_at_time(first_movers,skolemFOFtoCNF_T),zero),
inference(resolve,[$cnf( environment(skolemFOFtoCNF_E) )],[refute_0_6,refute_0_12]) ).
cnf(refute_0_14,plain,
( ~ constant(cardinality_at_time(X,T))
| ~ environment(E)
| ~ greater(cardinality_at_time(X,T),zero)
| ~ in_environment(E,T)
| ~ subpopulation(X,E,T)
| growth_rate(X,T) = zero ),
inference(canonicalize,[],[normalize_0_17]) ).
cnf(refute_0_15,plain,
( ~ constant(cardinality_at_time(first_movers,skolemFOFtoCNF_T))
| ~ environment(X_36)
| ~ greater(cardinality_at_time(first_movers,skolemFOFtoCNF_T),zero)
| ~ in_environment(X_36,skolemFOFtoCNF_T)
| ~ subpopulation(first_movers,X_36,skolemFOFtoCNF_T)
| growth_rate(first_movers,skolemFOFtoCNF_T) = zero ),
inference(subst,[],[refute_0_14:[bind(E,$fot(X_36)),bind(T,$fot(skolemFOFtoCNF_T)),bind(X,$fot(first_movers))]]) ).
cnf(refute_0_16,plain,
( ~ constant(cardinality_at_time(first_movers,skolemFOFtoCNF_T))
| ~ environment(X_36)
| ~ in_environment(X_36,skolemFOFtoCNF_T)
| ~ subpopulation(first_movers,X_36,skolemFOFtoCNF_T)
| growth_rate(first_movers,skolemFOFtoCNF_T) = zero ),
inference(resolve,[$cnf( greater(cardinality_at_time(first_movers,skolemFOFtoCNF_T),zero) )],[refute_0_13,refute_0_15]) ).
cnf(refute_0_17,plain,
( ~ constant(cardinality_at_time(first_movers,skolemFOFtoCNF_T))
| ~ environment(skolemFOFtoCNF_E)
| ~ in_environment(skolemFOFtoCNF_E,skolemFOFtoCNF_T)
| ~ subpopulation(first_movers,skolemFOFtoCNF_E,skolemFOFtoCNF_T)
| growth_rate(first_movers,skolemFOFtoCNF_T) = zero ),
inference(subst,[],[refute_0_16:[bind(X_36,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_18,plain,
( ~ constant(cardinality_at_time(first_movers,skolemFOFtoCNF_T))
| ~ environment(skolemFOFtoCNF_E)
| ~ in_environment(skolemFOFtoCNF_E,skolemFOFtoCNF_T)
| growth_rate(first_movers,skolemFOFtoCNF_T) = zero ),
inference(resolve,[$cnf( subpopulation(first_movers,skolemFOFtoCNF_E,skolemFOFtoCNF_T) )],[refute_0_9,refute_0_17]) ).
cnf(refute_0_19,plain,
( ~ constant(cardinality_at_time(first_movers,skolemFOFtoCNF_T))
| ~ in_environment(skolemFOFtoCNF_E,skolemFOFtoCNF_T)
| growth_rate(first_movers,skolemFOFtoCNF_T) = zero ),
inference(resolve,[$cnf( environment(skolemFOFtoCNF_E) )],[refute_0_6,refute_0_18]) ).
cnf(refute_0_20,plain,
( ~ constant(cardinality_at_time(first_movers,skolemFOFtoCNF_T))
| growth_rate(first_movers,skolemFOFtoCNF_T) = zero ),
inference(resolve,[$cnf( in_environment(skolemFOFtoCNF_E,skolemFOFtoCNF_T) )],[refute_0_7,refute_0_19]) ).
cnf(refute_0_21,plain,
( ~ environment(E)
| ~ in_environment(E,T)
| subpopulation(efficient_producers,E,T) ),
inference(canonicalize,[],[normalize_0_18]) ).
cnf(refute_0_22,plain,
( ~ environment(skolemFOFtoCNF_E)
| ~ in_environment(skolemFOFtoCNF_E,skolemFOFtoCNF_T)
| subpopulation(efficient_producers,skolemFOFtoCNF_E,skolemFOFtoCNF_T) ),
inference(subst,[],[refute_0_21:[bind(E,$fot(skolemFOFtoCNF_E)),bind(T,$fot(skolemFOFtoCNF_T))]]) ).
cnf(refute_0_23,plain,
( ~ environment(skolemFOFtoCNF_E)
| subpopulation(efficient_producers,skolemFOFtoCNF_E,skolemFOFtoCNF_T) ),
inference(resolve,[$cnf( in_environment(skolemFOFtoCNF_E,skolemFOFtoCNF_T) )],[refute_0_7,refute_0_22]) ).
cnf(refute_0_24,plain,
subpopulation(efficient_producers,skolemFOFtoCNF_E,skolemFOFtoCNF_T),
inference(resolve,[$cnf( environment(skolemFOFtoCNF_E) )],[refute_0_6,refute_0_23]) ).
cnf(refute_0_25,plain,
( ~ environment(E)
| ~ subpopulations(first_movers,efficient_producers,E,T)
| greater(cardinality_at_time(efficient_producers,T),zero) ),
inference(canonicalize,[],[normalize_0_19]) ).
cnf(refute_0_26,plain,
( ~ environment(skolemFOFtoCNF_E)
| ~ subpopulations(first_movers,efficient_producers,skolemFOFtoCNF_E,skolemFOFtoCNF_T)
| greater(cardinality_at_time(efficient_producers,skolemFOFtoCNF_T),zero) ),
inference(subst,[],[refute_0_25:[bind(E,$fot(skolemFOFtoCNF_E)),bind(T,$fot(skolemFOFtoCNF_T))]]) ).
cnf(refute_0_27,plain,
( ~ environment(skolemFOFtoCNF_E)
| greater(cardinality_at_time(efficient_producers,skolemFOFtoCNF_T),zero) ),
inference(resolve,[$cnf( subpopulations(first_movers,efficient_producers,skolemFOFtoCNF_E,skolemFOFtoCNF_T) )],[refute_0_2,refute_0_26]) ).
cnf(refute_0_28,plain,
greater(cardinality_at_time(efficient_producers,skolemFOFtoCNF_T),zero),
inference(resolve,[$cnf( environment(skolemFOFtoCNF_E) )],[refute_0_6,refute_0_27]) ).
cnf(refute_0_29,plain,
( ~ decreases(cardinality_at_time(X,T))
| ~ environment(E)
| ~ greater(cardinality_at_time(X,T),zero)
| ~ in_environment(E,T)
| ~ subpopulation(X,E,T)
| greater(zero,growth_rate(X,T)) ),
inference(canonicalize,[],[normalize_0_20]) ).
cnf(refute_0_30,plain,
( ~ decreases(cardinality_at_time(efficient_producers,skolemFOFtoCNF_T))
| ~ environment(X_41)
| ~ greater(cardinality_at_time(efficient_producers,skolemFOFtoCNF_T),zero)
| ~ in_environment(X_41,skolemFOFtoCNF_T)
| ~ subpopulation(efficient_producers,X_41,skolemFOFtoCNF_T)
| greater(zero,growth_rate(efficient_producers,skolemFOFtoCNF_T)) ),
inference(subst,[],[refute_0_29:[bind(E,$fot(X_41)),bind(T,$fot(skolemFOFtoCNF_T)),bind(X,$fot(efficient_producers))]]) ).
cnf(refute_0_31,plain,
( ~ decreases(cardinality_at_time(efficient_producers,skolemFOFtoCNF_T))
| ~ environment(X_41)
| ~ in_environment(X_41,skolemFOFtoCNF_T)
| ~ subpopulation(efficient_producers,X_41,skolemFOFtoCNF_T)
| greater(zero,growth_rate(efficient_producers,skolemFOFtoCNF_T)) ),
inference(resolve,[$cnf( greater(cardinality_at_time(efficient_producers,skolemFOFtoCNF_T),zero) )],[refute_0_28,refute_0_30]) ).
cnf(refute_0_32,plain,
( ~ decreases(cardinality_at_time(efficient_producers,skolemFOFtoCNF_T))
| ~ environment(skolemFOFtoCNF_E)
| ~ in_environment(skolemFOFtoCNF_E,skolemFOFtoCNF_T)
| ~ subpopulation(efficient_producers,skolemFOFtoCNF_E,skolemFOFtoCNF_T)
| greater(zero,growth_rate(efficient_producers,skolemFOFtoCNF_T)) ),
inference(subst,[],[refute_0_31:[bind(X_41,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_33,plain,
( ~ decreases(cardinality_at_time(efficient_producers,skolemFOFtoCNF_T))
| ~ environment(skolemFOFtoCNF_E)
| ~ in_environment(skolemFOFtoCNF_E,skolemFOFtoCNF_T)
| greater(zero,growth_rate(efficient_producers,skolemFOFtoCNF_T)) ),
inference(resolve,[$cnf( subpopulation(efficient_producers,skolemFOFtoCNF_E,skolemFOFtoCNF_T) )],[refute_0_24,refute_0_32]) ).
cnf(refute_0_34,plain,
( ~ decreases(cardinality_at_time(efficient_producers,skolemFOFtoCNF_T))
| ~ in_environment(skolemFOFtoCNF_E,skolemFOFtoCNF_T)
| greater(zero,growth_rate(efficient_producers,skolemFOFtoCNF_T)) ),
inference(resolve,[$cnf( environment(skolemFOFtoCNF_E) )],[refute_0_6,refute_0_33]) ).
cnf(refute_0_35,plain,
( ~ decreases(cardinality_at_time(efficient_producers,skolemFOFtoCNF_T))
| greater(zero,growth_rate(efficient_producers,skolemFOFtoCNF_T)) ),
inference(resolve,[$cnf( in_environment(skolemFOFtoCNF_E,skolemFOFtoCNF_T) )],[refute_0_7,refute_0_34]) ).
cnf(refute_0_36,plain,
( A != sum(B,C)
| ~ constant(A)
| constant(B)
| decreases(C)
| increases(C) ),
inference(canonicalize,[],[normalize_0_24]) ).
cnf(refute_0_37,plain,
( sum(B,C) != sum(B,C)
| ~ constant(sum(B,C))
| constant(B)
| decreases(C)
| increases(C) ),
inference(subst,[],[refute_0_36:[bind(A,$fot(sum(B,C)))]]) ).
cnf(refute_0_38,plain,
sum(B,C) = sum(B,C),
introduced(tautology,[refl,[$fot(sum(B,C))]]) ).
cnf(refute_0_39,plain,
( ~ constant(sum(B,C))
| constant(B)
| decreases(C)
| increases(C) ),
inference(resolve,[$cnf( $equal(sum(B,C),sum(B,C)) )],[refute_0_38,refute_0_37]) ).
cnf(refute_0_40,plain,
( ~ constant(sum(cardinality_at_time(first_movers,skolemFOFtoCNF_T),cardinality_at_time(efficient_producers,skolemFOFtoCNF_T)))
| constant(cardinality_at_time(first_movers,skolemFOFtoCNF_T))
| decreases(cardinality_at_time(efficient_producers,skolemFOFtoCNF_T))
| increases(cardinality_at_time(efficient_producers,skolemFOFtoCNF_T)) ),
inference(subst,[],[refute_0_39:[bind(B,$fot(cardinality_at_time(first_movers,skolemFOFtoCNF_T))),bind(C,$fot(cardinality_at_time(efficient_producers,skolemFOFtoCNF_T)))]]) ).
cnf(refute_0_41,plain,
( X != first_movers
| ~ environment(E)
| ~ subpopulation(X,E,T)
| number_of_organizations(E,T) = sum(cardinality_at_time(first_movers,T),cardinality_at_time(efficient_producers,T)) ),
inference(canonicalize,[],[normalize_0_28]) ).
cnf(refute_0_42,plain,
( first_movers != first_movers
| ~ environment(E)
| ~ subpopulation(first_movers,E,T)
| number_of_organizations(E,T) = sum(cardinality_at_time(first_movers,T),cardinality_at_time(efficient_producers,T)) ),
inference(subst,[],[refute_0_41:[bind(X,$fot(first_movers))]]) ).
cnf(refute_0_43,plain,
first_movers = first_movers,
introduced(tautology,[refl,[$fot(first_movers)]]) ).
cnf(refute_0_44,plain,
( ~ environment(E)
| ~ subpopulation(first_movers,E,T)
| number_of_organizations(E,T) = sum(cardinality_at_time(first_movers,T),cardinality_at_time(efficient_producers,T)) ),
inference(resolve,[$cnf( $equal(first_movers,first_movers) )],[refute_0_43,refute_0_42]) ).
cnf(refute_0_45,plain,
( ~ environment(skolemFOFtoCNF_E)
| ~ subpopulation(first_movers,skolemFOFtoCNF_E,skolemFOFtoCNF_T)
| number_of_organizations(skolemFOFtoCNF_E,skolemFOFtoCNF_T) = sum(cardinality_at_time(first_movers,skolemFOFtoCNF_T),cardinality_at_time(efficient_producers,skolemFOFtoCNF_T)) ),
inference(subst,[],[refute_0_44:[bind(E,$fot(skolemFOFtoCNF_E)),bind(T,$fot(skolemFOFtoCNF_T))]]) ).
cnf(refute_0_46,plain,
( ~ environment(skolemFOFtoCNF_E)
| number_of_organizations(skolemFOFtoCNF_E,skolemFOFtoCNF_T) = sum(cardinality_at_time(first_movers,skolemFOFtoCNF_T),cardinality_at_time(efficient_producers,skolemFOFtoCNF_T)) ),
inference(resolve,[$cnf( subpopulation(first_movers,skolemFOFtoCNF_E,skolemFOFtoCNF_T) )],[refute_0_9,refute_0_45]) ).
cnf(refute_0_47,plain,
number_of_organizations(skolemFOFtoCNF_E,skolemFOFtoCNF_T) = sum(cardinality_at_time(first_movers,skolemFOFtoCNF_T),cardinality_at_time(efficient_producers,skolemFOFtoCNF_T)),
inference(resolve,[$cnf( environment(skolemFOFtoCNF_E) )],[refute_0_6,refute_0_46]) ).
cnf(refute_0_48,plain,
X0 = X0,
introduced(tautology,[refl,[$fot(X0)]]) ).
cnf(refute_0_49,plain,
( X0 != X0
| X0 != Y
| Y = X0 ),
introduced(tautology,[equality,[$cnf( $equal(X0,X0) ),[0],$fot(Y)]]) ).
cnf(refute_0_50,plain,
( X0 != Y
| Y = X0 ),
inference(resolve,[$cnf( $equal(X0,X0) )],[refute_0_48,refute_0_49]) ).
cnf(refute_0_51,plain,
( number_of_organizations(skolemFOFtoCNF_E,skolemFOFtoCNF_T) != sum(cardinality_at_time(first_movers,skolemFOFtoCNF_T),cardinality_at_time(efficient_producers,skolemFOFtoCNF_T))
| sum(cardinality_at_time(first_movers,skolemFOFtoCNF_T),cardinality_at_time(efficient_producers,skolemFOFtoCNF_T)) = number_of_organizations(skolemFOFtoCNF_E,skolemFOFtoCNF_T) ),
inference(subst,[],[refute_0_50:[bind(X0,$fot(number_of_organizations(skolemFOFtoCNF_E,skolemFOFtoCNF_T))),bind(Y,$fot(sum(cardinality_at_time(first_movers,skolemFOFtoCNF_T),cardinality_at_time(efficient_producers,skolemFOFtoCNF_T))))]]) ).
cnf(refute_0_52,plain,
sum(cardinality_at_time(first_movers,skolemFOFtoCNF_T),cardinality_at_time(efficient_producers,skolemFOFtoCNF_T)) = number_of_organizations(skolemFOFtoCNF_E,skolemFOFtoCNF_T),
inference(resolve,[$cnf( $equal(number_of_organizations(skolemFOFtoCNF_E,skolemFOFtoCNF_T),sum(cardinality_at_time(first_movers,skolemFOFtoCNF_T),cardinality_at_time(efficient_producers,skolemFOFtoCNF_T))) )],[refute_0_47,refute_0_51]) ).
cnf(refute_0_53,plain,
( sum(cardinality_at_time(first_movers,skolemFOFtoCNF_T),cardinality_at_time(efficient_producers,skolemFOFtoCNF_T)) != number_of_organizations(skolemFOFtoCNF_E,skolemFOFtoCNF_T)
| ~ constant(number_of_organizations(skolemFOFtoCNF_E,skolemFOFtoCNF_T))
| constant(sum(cardinality_at_time(first_movers,skolemFOFtoCNF_T),cardinality_at_time(efficient_producers,skolemFOFtoCNF_T))) ),
introduced(tautology,[equality,[$cnf( ~ constant(sum(cardinality_at_time(first_movers,skolemFOFtoCNF_T),cardinality_at_time(efficient_producers,skolemFOFtoCNF_T))) ),[0],$fot(number_of_organizations(skolemFOFtoCNF_E,skolemFOFtoCNF_T))]]) ).
cnf(refute_0_54,plain,
( ~ constant(number_of_organizations(skolemFOFtoCNF_E,skolemFOFtoCNF_T))
| constant(sum(cardinality_at_time(first_movers,skolemFOFtoCNF_T),cardinality_at_time(efficient_producers,skolemFOFtoCNF_T))) ),
inference(resolve,[$cnf( $equal(sum(cardinality_at_time(first_movers,skolemFOFtoCNF_T),cardinality_at_time(efficient_producers,skolemFOFtoCNF_T)),number_of_organizations(skolemFOFtoCNF_E,skolemFOFtoCNF_T)) )],[refute_0_52,refute_0_53]) ).
cnf(refute_0_55,plain,
( ~ constant(number_of_organizations(skolemFOFtoCNF_E,skolemFOFtoCNF_T))
| constant(cardinality_at_time(first_movers,skolemFOFtoCNF_T))
| decreases(cardinality_at_time(efficient_producers,skolemFOFtoCNF_T))
| increases(cardinality_at_time(efficient_producers,skolemFOFtoCNF_T)) ),
inference(resolve,[$cnf( constant(sum(cardinality_at_time(first_movers,skolemFOFtoCNF_T),cardinality_at_time(efficient_producers,skolemFOFtoCNF_T))) )],[refute_0_54,refute_0_40]) ).
cnf(refute_0_56,plain,
constant(number_of_organizations(skolemFOFtoCNF_E,skolemFOFtoCNF_T)),
inference(canonicalize,[],[normalize_0_29]) ).
cnf(refute_0_57,plain,
( constant(cardinality_at_time(first_movers,skolemFOFtoCNF_T))
| decreases(cardinality_at_time(efficient_producers,skolemFOFtoCNF_T))
| increases(cardinality_at_time(efficient_producers,skolemFOFtoCNF_T)) ),
inference(resolve,[$cnf( constant(number_of_organizations(skolemFOFtoCNF_E,skolemFOFtoCNF_T)) )],[refute_0_56,refute_0_55]) ).
cnf(refute_0_58,plain,
( ~ environment(E)
| ~ greater(cardinality_at_time(X,T),zero)
| ~ in_environment(E,T)
| ~ increases(cardinality_at_time(X,T))
| ~ subpopulation(X,E,T)
| greater(growth_rate(X,T),zero) ),
inference(canonicalize,[],[normalize_0_30]) ).
cnf(refute_0_59,plain,
( ~ environment(X_46)
| ~ greater(cardinality_at_time(efficient_producers,skolemFOFtoCNF_T),zero)
| ~ in_environment(X_46,skolemFOFtoCNF_T)
| ~ increases(cardinality_at_time(efficient_producers,skolemFOFtoCNF_T))
| ~ subpopulation(efficient_producers,X_46,skolemFOFtoCNF_T)
| greater(growth_rate(efficient_producers,skolemFOFtoCNF_T),zero) ),
inference(subst,[],[refute_0_58:[bind(E,$fot(X_46)),bind(T,$fot(skolemFOFtoCNF_T)),bind(X,$fot(efficient_producers))]]) ).
cnf(refute_0_60,plain,
( ~ environment(X_46)
| ~ in_environment(X_46,skolemFOFtoCNF_T)
| ~ increases(cardinality_at_time(efficient_producers,skolemFOFtoCNF_T))
| ~ subpopulation(efficient_producers,X_46,skolemFOFtoCNF_T)
| greater(growth_rate(efficient_producers,skolemFOFtoCNF_T),zero) ),
inference(resolve,[$cnf( greater(cardinality_at_time(efficient_producers,skolemFOFtoCNF_T),zero) )],[refute_0_28,refute_0_59]) ).
cnf(refute_0_61,plain,
~ greater(growth_rate(efficient_producers,skolemFOFtoCNF_T),zero),
inference(canonicalize,[],[normalize_0_31]) ).
cnf(refute_0_62,plain,
( ~ environment(X_46)
| ~ in_environment(X_46,skolemFOFtoCNF_T)
| ~ increases(cardinality_at_time(efficient_producers,skolemFOFtoCNF_T))
| ~ subpopulation(efficient_producers,X_46,skolemFOFtoCNF_T) ),
inference(resolve,[$cnf( greater(growth_rate(efficient_producers,skolemFOFtoCNF_T),zero) )],[refute_0_60,refute_0_61]) ).
cnf(refute_0_63,plain,
( ~ environment(skolemFOFtoCNF_E)
| ~ in_environment(skolemFOFtoCNF_E,skolemFOFtoCNF_T)
| ~ increases(cardinality_at_time(efficient_producers,skolemFOFtoCNF_T))
| ~ subpopulation(efficient_producers,skolemFOFtoCNF_E,skolemFOFtoCNF_T) ),
inference(subst,[],[refute_0_62:[bind(X_46,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_64,plain,
( ~ environment(skolemFOFtoCNF_E)
| ~ in_environment(skolemFOFtoCNF_E,skolemFOFtoCNF_T)
| ~ increases(cardinality_at_time(efficient_producers,skolemFOFtoCNF_T)) ),
inference(resolve,[$cnf( subpopulation(efficient_producers,skolemFOFtoCNF_E,skolemFOFtoCNF_T) )],[refute_0_24,refute_0_63]) ).
cnf(refute_0_65,plain,
( ~ in_environment(skolemFOFtoCNF_E,skolemFOFtoCNF_T)
| ~ increases(cardinality_at_time(efficient_producers,skolemFOFtoCNF_T)) ),
inference(resolve,[$cnf( environment(skolemFOFtoCNF_E) )],[refute_0_6,refute_0_64]) ).
cnf(refute_0_66,plain,
~ increases(cardinality_at_time(efficient_producers,skolemFOFtoCNF_T)),
inference(resolve,[$cnf( in_environment(skolemFOFtoCNF_E,skolemFOFtoCNF_T) )],[refute_0_7,refute_0_65]) ).
cnf(refute_0_67,plain,
( constant(cardinality_at_time(first_movers,skolemFOFtoCNF_T))
| decreases(cardinality_at_time(efficient_producers,skolemFOFtoCNF_T)) ),
inference(resolve,[$cnf( increases(cardinality_at_time(efficient_producers,skolemFOFtoCNF_T)) )],[refute_0_57,refute_0_66]) ).
cnf(refute_0_68,plain,
( constant(cardinality_at_time(first_movers,skolemFOFtoCNF_T))
| greater(zero,growth_rate(efficient_producers,skolemFOFtoCNF_T)) ),
inference(resolve,[$cnf( decreases(cardinality_at_time(efficient_producers,skolemFOFtoCNF_T)) )],[refute_0_67,refute_0_35]) ).
cnf(refute_0_69,plain,
( ~ constant(cardinality_at_time(efficient_producers,skolemFOFtoCNF_T))
| ~ environment(X_36)
| ~ greater(cardinality_at_time(efficient_producers,skolemFOFtoCNF_T),zero)
| ~ in_environment(X_36,skolemFOFtoCNF_T)
| ~ subpopulation(efficient_producers,X_36,skolemFOFtoCNF_T)
| growth_rate(efficient_producers,skolemFOFtoCNF_T) = zero ),
inference(subst,[],[refute_0_14:[bind(E,$fot(X_36)),bind(T,$fot(skolemFOFtoCNF_T)),bind(X,$fot(efficient_producers))]]) ).
cnf(refute_0_70,plain,
( ~ constant(cardinality_at_time(efficient_producers,skolemFOFtoCNF_T))
| ~ environment(X_36)
| ~ in_environment(X_36,skolemFOFtoCNF_T)
| ~ subpopulation(efficient_producers,X_36,skolemFOFtoCNF_T)
| growth_rate(efficient_producers,skolemFOFtoCNF_T) = zero ),
inference(resolve,[$cnf( greater(cardinality_at_time(efficient_producers,skolemFOFtoCNF_T),zero) )],[refute_0_28,refute_0_69]) ).
cnf(refute_0_71,plain,
( ~ constant(cardinality_at_time(efficient_producers,skolemFOFtoCNF_T))
| ~ environment(skolemFOFtoCNF_E)
| ~ in_environment(skolemFOFtoCNF_E,skolemFOFtoCNF_T)
| ~ subpopulation(efficient_producers,skolemFOFtoCNF_E,skolemFOFtoCNF_T)
| growth_rate(efficient_producers,skolemFOFtoCNF_T) = zero ),
inference(subst,[],[refute_0_70:[bind(X_36,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_72,plain,
( ~ constant(cardinality_at_time(efficient_producers,skolemFOFtoCNF_T))
| ~ environment(skolemFOFtoCNF_E)
| ~ in_environment(skolemFOFtoCNF_E,skolemFOFtoCNF_T)
| growth_rate(efficient_producers,skolemFOFtoCNF_T) = zero ),
inference(resolve,[$cnf( subpopulation(efficient_producers,skolemFOFtoCNF_E,skolemFOFtoCNF_T) )],[refute_0_24,refute_0_71]) ).
cnf(refute_0_73,plain,
( ~ constant(cardinality_at_time(efficient_producers,skolemFOFtoCNF_T))
| ~ in_environment(skolemFOFtoCNF_E,skolemFOFtoCNF_T)
| growth_rate(efficient_producers,skolemFOFtoCNF_T) = zero ),
inference(resolve,[$cnf( environment(skolemFOFtoCNF_E) )],[refute_0_6,refute_0_72]) ).
cnf(refute_0_74,plain,
( ~ constant(cardinality_at_time(efficient_producers,skolemFOFtoCNF_T))
| growth_rate(efficient_producers,skolemFOFtoCNF_T) = zero ),
inference(resolve,[$cnf( in_environment(skolemFOFtoCNF_E,skolemFOFtoCNF_T) )],[refute_0_7,refute_0_73]) ).
cnf(refute_0_75,plain,
( A != sum(B,C)
| ~ constant(A)
| constant(C)
| decreases(C)
| increases(C) ),
inference(canonicalize,[],[normalize_0_32]) ).
cnf(refute_0_76,plain,
( sum(B,C) != sum(B,C)
| ~ constant(sum(B,C))
| constant(C)
| decreases(C)
| increases(C) ),
inference(subst,[],[refute_0_75:[bind(A,$fot(sum(B,C)))]]) ).
cnf(refute_0_77,plain,
( ~ constant(sum(B,C))
| constant(C)
| decreases(C)
| increases(C) ),
inference(resolve,[$cnf( $equal(sum(B,C),sum(B,C)) )],[refute_0_38,refute_0_76]) ).
cnf(refute_0_78,plain,
( ~ constant(sum(cardinality_at_time(first_movers,skolemFOFtoCNF_T),cardinality_at_time(efficient_producers,skolemFOFtoCNF_T)))
| constant(cardinality_at_time(efficient_producers,skolemFOFtoCNF_T))
| decreases(cardinality_at_time(efficient_producers,skolemFOFtoCNF_T))
| increases(cardinality_at_time(efficient_producers,skolemFOFtoCNF_T)) ),
inference(subst,[],[refute_0_77:[bind(B,$fot(cardinality_at_time(first_movers,skolemFOFtoCNF_T))),bind(C,$fot(cardinality_at_time(efficient_producers,skolemFOFtoCNF_T)))]]) ).
cnf(refute_0_79,plain,
( ~ constant(number_of_organizations(skolemFOFtoCNF_E,skolemFOFtoCNF_T))
| constant(cardinality_at_time(efficient_producers,skolemFOFtoCNF_T))
| decreases(cardinality_at_time(efficient_producers,skolemFOFtoCNF_T))
| increases(cardinality_at_time(efficient_producers,skolemFOFtoCNF_T)) ),
inference(resolve,[$cnf( constant(sum(cardinality_at_time(first_movers,skolemFOFtoCNF_T),cardinality_at_time(efficient_producers,skolemFOFtoCNF_T))) )],[refute_0_54,refute_0_78]) ).
cnf(refute_0_80,plain,
( constant(cardinality_at_time(efficient_producers,skolemFOFtoCNF_T))
| decreases(cardinality_at_time(efficient_producers,skolemFOFtoCNF_T))
| increases(cardinality_at_time(efficient_producers,skolemFOFtoCNF_T)) ),
inference(resolve,[$cnf( constant(number_of_organizations(skolemFOFtoCNF_E,skolemFOFtoCNF_T)) )],[refute_0_56,refute_0_79]) ).
cnf(refute_0_81,plain,
( constant(cardinality_at_time(efficient_producers,skolemFOFtoCNF_T))
| decreases(cardinality_at_time(efficient_producers,skolemFOFtoCNF_T)) ),
inference(resolve,[$cnf( increases(cardinality_at_time(efficient_producers,skolemFOFtoCNF_T)) )],[refute_0_80,refute_0_66]) ).
cnf(refute_0_82,plain,
( constant(cardinality_at_time(efficient_producers,skolemFOFtoCNF_T))
| greater(zero,growth_rate(efficient_producers,skolemFOFtoCNF_T)) ),
inference(resolve,[$cnf( decreases(cardinality_at_time(efficient_producers,skolemFOFtoCNF_T)) )],[refute_0_81,refute_0_35]) ).
cnf(refute_0_83,plain,
( ~ greater(growth_rate(first_movers,skolemFOFtoCNF_T),zero)
| ~ greater(zero,growth_rate(efficient_producers,skolemFOFtoCNF_T)) ),
inference(canonicalize,[],[normalize_0_33]) ).
cnf(refute_0_84,plain,
( A != sum(B,C)
| ~ constant(A)
| constant(C)
| increases(B)
| increases(C) ),
inference(canonicalize,[],[normalize_0_34]) ).
cnf(refute_0_85,plain,
( sum(B,C) != sum(B,C)
| ~ constant(sum(B,C))
| constant(C)
| increases(B)
| increases(C) ),
inference(subst,[],[refute_0_84:[bind(A,$fot(sum(B,C)))]]) ).
cnf(refute_0_86,plain,
( ~ constant(sum(B,C))
| constant(C)
| increases(B)
| increases(C) ),
inference(resolve,[$cnf( $equal(sum(B,C),sum(B,C)) )],[refute_0_38,refute_0_85]) ).
cnf(refute_0_87,plain,
( ~ constant(sum(cardinality_at_time(first_movers,skolemFOFtoCNF_T),cardinality_at_time(efficient_producers,skolemFOFtoCNF_T)))
| constant(cardinality_at_time(efficient_producers,skolemFOFtoCNF_T))
| increases(cardinality_at_time(efficient_producers,skolemFOFtoCNF_T))
| increases(cardinality_at_time(first_movers,skolemFOFtoCNF_T)) ),
inference(subst,[],[refute_0_86:[bind(B,$fot(cardinality_at_time(first_movers,skolemFOFtoCNF_T))),bind(C,$fot(cardinality_at_time(efficient_producers,skolemFOFtoCNF_T)))]]) ).
cnf(refute_0_88,plain,
( ~ constant(number_of_organizations(skolemFOFtoCNF_E,skolemFOFtoCNF_T))
| constant(cardinality_at_time(efficient_producers,skolemFOFtoCNF_T))
| increases(cardinality_at_time(efficient_producers,skolemFOFtoCNF_T))
| increases(cardinality_at_time(first_movers,skolemFOFtoCNF_T)) ),
inference(resolve,[$cnf( constant(sum(cardinality_at_time(first_movers,skolemFOFtoCNF_T),cardinality_at_time(efficient_producers,skolemFOFtoCNF_T))) )],[refute_0_54,refute_0_87]) ).
cnf(refute_0_89,plain,
( constant(cardinality_at_time(efficient_producers,skolemFOFtoCNF_T))
| increases(cardinality_at_time(efficient_producers,skolemFOFtoCNF_T))
| increases(cardinality_at_time(first_movers,skolemFOFtoCNF_T)) ),
inference(resolve,[$cnf( constant(number_of_organizations(skolemFOFtoCNF_E,skolemFOFtoCNF_T)) )],[refute_0_56,refute_0_88]) ).
cnf(refute_0_90,plain,
( ~ environment(X_46)
| ~ greater(cardinality_at_time(first_movers,skolemFOFtoCNF_T),zero)
| ~ in_environment(X_46,skolemFOFtoCNF_T)
| ~ increases(cardinality_at_time(first_movers,skolemFOFtoCNF_T))
| ~ subpopulation(first_movers,X_46,skolemFOFtoCNF_T)
| greater(growth_rate(first_movers,skolemFOFtoCNF_T),zero) ),
inference(subst,[],[refute_0_58:[bind(E,$fot(X_46)),bind(T,$fot(skolemFOFtoCNF_T)),bind(X,$fot(first_movers))]]) ).
cnf(refute_0_91,plain,
( ~ environment(X_46)
| ~ in_environment(X_46,skolemFOFtoCNF_T)
| ~ increases(cardinality_at_time(first_movers,skolemFOFtoCNF_T))
| ~ subpopulation(first_movers,X_46,skolemFOFtoCNF_T)
| greater(growth_rate(first_movers,skolemFOFtoCNF_T),zero) ),
inference(resolve,[$cnf( greater(cardinality_at_time(first_movers,skolemFOFtoCNF_T),zero) )],[refute_0_13,refute_0_90]) ).
cnf(refute_0_92,plain,
( ~ environment(skolemFOFtoCNF_E)
| ~ in_environment(skolemFOFtoCNF_E,skolemFOFtoCNF_T)
| ~ increases(cardinality_at_time(first_movers,skolemFOFtoCNF_T))
| ~ subpopulation(first_movers,skolemFOFtoCNF_E,skolemFOFtoCNF_T)
| greater(growth_rate(first_movers,skolemFOFtoCNF_T),zero) ),
inference(subst,[],[refute_0_91:[bind(X_46,$fot(skolemFOFtoCNF_E))]]) ).
cnf(refute_0_93,plain,
( ~ environment(skolemFOFtoCNF_E)
| ~ in_environment(skolemFOFtoCNF_E,skolemFOFtoCNF_T)
| ~ increases(cardinality_at_time(first_movers,skolemFOFtoCNF_T))
| greater(growth_rate(first_movers,skolemFOFtoCNF_T),zero) ),
inference(resolve,[$cnf( subpopulation(first_movers,skolemFOFtoCNF_E,skolemFOFtoCNF_T) )],[refute_0_9,refute_0_92]) ).
cnf(refute_0_94,plain,
( ~ in_environment(skolemFOFtoCNF_E,skolemFOFtoCNF_T)
| ~ increases(cardinality_at_time(first_movers,skolemFOFtoCNF_T))
| greater(growth_rate(first_movers,skolemFOFtoCNF_T),zero) ),
inference(resolve,[$cnf( environment(skolemFOFtoCNF_E) )],[refute_0_6,refute_0_93]) ).
cnf(refute_0_95,plain,
( ~ increases(cardinality_at_time(first_movers,skolemFOFtoCNF_T))
| greater(growth_rate(first_movers,skolemFOFtoCNF_T),zero) ),
inference(resolve,[$cnf( in_environment(skolemFOFtoCNF_E,skolemFOFtoCNF_T) )],[refute_0_7,refute_0_94]) ).
cnf(refute_0_96,plain,
( constant(cardinality_at_time(efficient_producers,skolemFOFtoCNF_T))
| greater(growth_rate(first_movers,skolemFOFtoCNF_T),zero)
| increases(cardinality_at_time(efficient_producers,skolemFOFtoCNF_T)) ),
inference(resolve,[$cnf( increases(cardinality_at_time(first_movers,skolemFOFtoCNF_T)) )],[refute_0_89,refute_0_95]) ).
cnf(refute_0_97,plain,
( constant(cardinality_at_time(efficient_producers,skolemFOFtoCNF_T))
| greater(growth_rate(first_movers,skolemFOFtoCNF_T),zero) ),
inference(resolve,[$cnf( increases(cardinality_at_time(efficient_producers,skolemFOFtoCNF_T)) )],[refute_0_96,refute_0_66]) ).
cnf(refute_0_98,plain,
( ~ greater(zero,growth_rate(efficient_producers,skolemFOFtoCNF_T))
| constant(cardinality_at_time(efficient_producers,skolemFOFtoCNF_T)) ),
inference(resolve,[$cnf( greater(growth_rate(first_movers,skolemFOFtoCNF_T),zero) )],[refute_0_97,refute_0_83]) ).
cnf(refute_0_99,plain,
constant(cardinality_at_time(efficient_producers,skolemFOFtoCNF_T)),
inference(resolve,[$cnf( greater(zero,growth_rate(efficient_producers,skolemFOFtoCNF_T)) )],[refute_0_82,refute_0_98]) ).
cnf(refute_0_100,plain,
growth_rate(efficient_producers,skolemFOFtoCNF_T) = zero,
inference(resolve,[$cnf( constant(cardinality_at_time(efficient_producers,skolemFOFtoCNF_T)) )],[refute_0_99,refute_0_74]) ).
cnf(refute_0_101,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_102,plain,
( ~ greater(zero,growth_rate(efficient_producers,skolemFOFtoCNF_T))
| greater(zero,zero) ),
inference(resolve,[$cnf( $equal(growth_rate(efficient_producers,skolemFOFtoCNF_T),zero) )],[refute_0_100,refute_0_101]) ).
cnf(refute_0_103,plain,
( constant(cardinality_at_time(first_movers,skolemFOFtoCNF_T))
| greater(zero,zero) ),
inference(resolve,[$cnf( greater(zero,growth_rate(efficient_producers,skolemFOFtoCNF_T)) )],[refute_0_68,refute_0_102]) ).
cnf(refute_0_104,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_105,plain,
( ~ greater(zero,zero)
| greater(growth_rate(efficient_producers,skolemFOFtoCNF_T),zero) ),
inference(resolve,[$cnf( $equal(growth_rate(efficient_producers,skolemFOFtoCNF_T),zero) )],[refute_0_100,refute_0_104]) ).
cnf(refute_0_106,plain,
~ greater(zero,zero),
inference(resolve,[$cnf( greater(growth_rate(efficient_producers,skolemFOFtoCNF_T),zero) )],[refute_0_105,refute_0_61]) ).
cnf(refute_0_107,plain,
constant(cardinality_at_time(first_movers,skolemFOFtoCNF_T)),
inference(resolve,[$cnf( greater(zero,zero) )],[refute_0_103,refute_0_106]) ).
cnf(refute_0_108,plain,
growth_rate(first_movers,skolemFOFtoCNF_T) = zero,
inference(resolve,[$cnf( constant(cardinality_at_time(first_movers,skolemFOFtoCNF_T)) )],[refute_0_107,refute_0_20]) ).
cnf(refute_0_109,plain,
( growth_rate(efficient_producers,skolemFOFtoCNF_T) != zero
| growth_rate(first_movers,skolemFOFtoCNF_T) != zero ),
inference(canonicalize,[],[normalize_0_35]) ).
cnf(refute_0_110,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_111,plain,
( zero != zero
| growth_rate(efficient_producers,skolemFOFtoCNF_T) = zero ),
inference(resolve,[$cnf( $equal(growth_rate(efficient_producers,skolemFOFtoCNF_T),zero) )],[refute_0_100,refute_0_110]) ).
cnf(refute_0_112,plain,
( growth_rate(first_movers,skolemFOFtoCNF_T) != zero
| zero != zero ),
inference(resolve,[$cnf( $equal(growth_rate(efficient_producers,skolemFOFtoCNF_T),zero) )],[refute_0_111,refute_0_109]) ).
cnf(refute_0_113,plain,
zero = zero,
introduced(tautology,[refl,[$fot(zero)]]) ).
cnf(refute_0_114,plain,
growth_rate(first_movers,skolemFOFtoCNF_T) != zero,
inference(resolve,[$cnf( $equal(zero,zero) )],[refute_0_113,refute_0_112]) ).
cnf(refute_0_115,plain,
$false,
inference(resolve,[$cnf( $equal(growth_rate(first_movers,skolemFOFtoCNF_T),zero) )],[refute_0_108,refute_0_114]) ).
fof(negate_1_0,plain,
~ ! [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)) ),
inference(negate,[],[subgoal_1]) ).
fof(normalize_1_0,plain,
! [E,T] :
( ~ environment(E)
| ~ in_environment(E,T)
| ( subpopulation(efficient_producers,E,T)
& subpopulation(first_movers,E,T) ) ),
inference(canonicalize,[],[mp_subpopulations]) ).
fof(normalize_1_1,plain,
! [E,T] :
( ~ environment(E)
| ~ in_environment(E,T)
| ( subpopulation(efficient_producers,E,T)
& subpopulation(first_movers,E,T) ) ),
inference(specialize,[],[normalize_1_0]) ).
fof(normalize_1_2,plain,
! [E,T] :
( ( ~ environment(E)
| ~ in_environment(E,T)
| subpopulation(efficient_producers,E,T) )
& ( ~ environment(E)
| ~ in_environment(E,T)
| subpopulation(first_movers,E,T) ) ),
inference(clausify,[],[normalize_1_1]) ).
fof(normalize_1_3,plain,
! [E,T] :
( ~ environment(E)
| ~ in_environment(E,T)
| subpopulation(first_movers,E,T) ),
inference(conjunct,[],[normalize_1_2]) ).
fof(normalize_1_4,plain,
? [E,T] :
( ~ greater(zero,growth_rate(first_movers,T))
& constant(number_of_organizations(E,T))
& environment(E)
& greater(growth_rate(efficient_producers,T),zero)
& 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_5,plain,
( ~ greater(zero,growth_rate(first_movers,skolemFOFtoCNF_T_1))
& constant(number_of_organizations(skolemFOFtoCNF_E_1,skolemFOFtoCNF_T_1))
& environment(skolemFOFtoCNF_E_1)
& greater(growth_rate(efficient_producers,skolemFOFtoCNF_T_1),zero)
& 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_4]) ).
fof(normalize_1_6,plain,
subpopulations(first_movers,efficient_producers,skolemFOFtoCNF_E_1,skolemFOFtoCNF_T_1),
inference(conjunct,[],[normalize_1_5]) ).
fof(normalize_1_7,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_8,plain,
! [E,T] :
( ~ environment(E)
| ~ subpopulations(first_movers,efficient_producers,E,T)
| in_environment(E,T) ),
inference(specialize,[],[normalize_1_7]) ).
fof(normalize_1_9,plain,
environment(skolemFOFtoCNF_E_1),
inference(conjunct,[],[normalize_1_5]) ).
fof(normalize_1_10,plain,
! [E,T] :
( ~ environment(E)
| ~ subpopulations(first_movers,efficient_producers,E,T)
| ( greater(cardinality_at_time(efficient_producers,T),zero)
& greater(cardinality_at_time(first_movers,T),zero) ) ),
inference(canonicalize,[],[mp_non_zero_producers]) ).
fof(normalize_1_11,plain,
! [E,T] :
( ~ environment(E)
| ~ subpopulations(first_movers,efficient_producers,E,T)
| ( greater(cardinality_at_time(efficient_producers,T),zero)
& greater(cardinality_at_time(first_movers,T),zero) ) ),
inference(specialize,[],[normalize_1_10]) ).
fof(normalize_1_12,plain,
! [E,T] :
( ( ~ environment(E)
| ~ subpopulations(first_movers,efficient_producers,E,T)
| greater(cardinality_at_time(efficient_producers,T),zero) )
& ( ~ environment(E)
| ~ subpopulations(first_movers,efficient_producers,E,T)
| greater(cardinality_at_time(first_movers,T),zero) ) ),
inference(clausify,[],[normalize_1_11]) ).
fof(normalize_1_13,plain,
! [E,T] :
( ~ environment(E)
| ~ subpopulations(first_movers,efficient_producers,E,T)
| greater(cardinality_at_time(first_movers,T),zero) ),
inference(conjunct,[],[normalize_1_12]) ).
fof(normalize_1_14,plain,
! [E,T,X] :
( ~ environment(E)
| ~ greater(cardinality_at_time(X,T),zero)
| ~ in_environment(E,T)
| ~ subpopulation(X,E,T)
| ( ( ~ constant(cardinality_at_time(X,T))
| growth_rate(X,T) = zero )
& ( ~ decreases(cardinality_at_time(X,T))
| greater(zero,growth_rate(X,T)) )
& ( ~ increases(cardinality_at_time(X,T))
| greater(growth_rate(X,T),zero) ) ) ),
inference(canonicalize,[],[mp_growth_rate]) ).
fof(normalize_1_15,plain,
! [E,T,X] :
( ~ environment(E)
| ~ greater(cardinality_at_time(X,T),zero)
| ~ in_environment(E,T)
| ~ subpopulation(X,E,T)
| ( ( ~ constant(cardinality_at_time(X,T))
| growth_rate(X,T) = zero )
& ( ~ decreases(cardinality_at_time(X,T))
| greater(zero,growth_rate(X,T)) )
& ( ~ increases(cardinality_at_time(X,T))
| greater(growth_rate(X,T),zero) ) ) ),
inference(specialize,[],[normalize_1_14]) ).
fof(normalize_1_16,plain,
! [E,T,X] :
( ( ~ constant(cardinality_at_time(X,T))
| ~ environment(E)
| ~ greater(cardinality_at_time(X,T),zero)
| ~ in_environment(E,T)
| ~ subpopulation(X,E,T)
| growth_rate(X,T) = zero )
& ( ~ decreases(cardinality_at_time(X,T))
| ~ environment(E)
| ~ greater(cardinality_at_time(X,T),zero)
| ~ in_environment(E,T)
| ~ subpopulation(X,E,T)
| greater(zero,growth_rate(X,T)) )
& ( ~ environment(E)
| ~ greater(cardinality_at_time(X,T),zero)
| ~ in_environment(E,T)
| ~ increases(cardinality_at_time(X,T))
| ~ subpopulation(X,E,T)
| greater(growth_rate(X,T),zero) ) ),
inference(clausify,[],[normalize_1_15]) ).
fof(normalize_1_17,plain,
! [E,T,X] :
( ~ constant(cardinality_at_time(X,T))
| ~ environment(E)
| ~ greater(cardinality_at_time(X,T),zero)
| ~ in_environment(E,T)
| ~ subpopulation(X,E,T)
| growth_rate(X,T) = zero ),
inference(conjunct,[],[normalize_1_16]) ).
fof(normalize_1_18,plain,
! [A,B,C] :
( A != sum(B,C)
| ~ constant(A)
| ( constant(B)
& constant(C) )
| ( decreases(B)
& increases(C) )
| ( decreases(C)
& increases(B) ) ),
inference(canonicalize,[],[mp_abc_sum_increase]) ).
fof(normalize_1_19,plain,
! [A,B,C] :
( A != sum(B,C)
| ~ constant(A)
| ( constant(B)
& constant(C) )
| ( decreases(B)
& increases(C) )
| ( decreases(C)
& increases(B) ) ),
inference(specialize,[],[normalize_1_18]) ).
fof(normalize_1_20,plain,
! [A,B,C] :
( ( A != sum(B,C)
| ~ constant(A)
| constant(B)
| decreases(B)
| decreases(C) )
& ( A != sum(B,C)
| ~ constant(A)
| constant(B)
| decreases(B)
| increases(B) )
& ( A != sum(B,C)
| ~ constant(A)
| constant(B)
| decreases(C)
| increases(C) )
& ( A != sum(B,C)
| ~ constant(A)
| constant(B)
| increases(B)
| increases(C) )
& ( A != sum(B,C)
| ~ constant(A)
| constant(C)
| decreases(B)
| decreases(C) )
& ( A != sum(B,C)
| ~ constant(A)
| constant(C)
| decreases(B)
| increases(B) )
& ( A != sum(B,C)
| ~ constant(A)
| constant(C)
| decreases(C)
| increases(C) )
& ( A != sum(B,C)
| ~ constant(A)
| constant(C)
| increases(B)
| increases(C) ) ),
inference(clausify,[],[normalize_1_19]) ).
fof(normalize_1_21,plain,
! [A,B,C] :
( A != sum(B,C)
| ~ constant(A)
| constant(B)
| decreases(B)
| increases(B) ),
inference(conjunct,[],[normalize_1_20]) ).
fof(normalize_1_22,plain,
! [E,T] :
( ~ environment(E)
| ~ in_environment(E,T)
| subpopulation(efficient_producers,E,T) ),
inference(conjunct,[],[normalize_1_2]) ).
fof(normalize_1_23,plain,
! [E,T,X] :
( ~ environment(E)
| ~ subpopulation(X,E,T)
| number_of_organizations(E,T) = sum(cardinality_at_time(first_movers,T),cardinality_at_time(efficient_producers,T))
| ( X != efficient_producers
& X != first_movers
& greater(cardinality_at_time(X,T),zero) ) ),
inference(canonicalize,[],[mp_only_members]) ).
fof(normalize_1_24,plain,
! [E,T,X] :
( ~ environment(E)
| ~ subpopulation(X,E,T)
| number_of_organizations(E,T) = sum(cardinality_at_time(first_movers,T),cardinality_at_time(efficient_producers,T))
| ( X != efficient_producers
& X != first_movers
& greater(cardinality_at_time(X,T),zero) ) ),
inference(specialize,[],[normalize_1_23]) ).
fof(normalize_1_25,plain,
! [E,T,X] :
( ( X != efficient_producers
| ~ environment(E)
| ~ subpopulation(X,E,T)
| number_of_organizations(E,T) = sum(cardinality_at_time(first_movers,T),cardinality_at_time(efficient_producers,T)) )
& ( X != first_movers
| ~ environment(E)
| ~ subpopulation(X,E,T)
| number_of_organizations(E,T) = sum(cardinality_at_time(first_movers,T),cardinality_at_time(efficient_producers,T)) )
& ( ~ environment(E)
| ~ subpopulation(X,E,T)
| number_of_organizations(E,T) = sum(cardinality_at_time(first_movers,T),cardinality_at_time(efficient_producers,T))
| greater(cardinality_at_time(X,T),zero) ) ),
inference(clausify,[],[normalize_1_24]) ).
fof(normalize_1_26,plain,
! [E,T,X] :
( X != efficient_producers
| ~ environment(E)
| ~ subpopulation(X,E,T)
| number_of_organizations(E,T) = sum(cardinality_at_time(first_movers,T),cardinality_at_time(efficient_producers,T)) ),
inference(conjunct,[],[normalize_1_25]) ).
fof(normalize_1_27,plain,
constant(number_of_organizations(skolemFOFtoCNF_E_1,skolemFOFtoCNF_T_1)),
inference(conjunct,[],[normalize_1_5]) ).
fof(normalize_1_28,plain,
! [E,T,X] :
( ~ environment(E)
| ~ greater(cardinality_at_time(X,T),zero)
| ~ in_environment(E,T)
| ~ increases(cardinality_at_time(X,T))
| ~ subpopulation(X,E,T)
| greater(growth_rate(X,T),zero) ),
inference(conjunct,[],[normalize_1_16]) ).
fof(normalize_1_29,plain,
! [E,T,X] :
( ~ decreases(cardinality_at_time(X,T))
| ~ environment(E)
| ~ greater(cardinality_at_time(X,T),zero)
| ~ in_environment(E,T)
| ~ subpopulation(X,E,T)
| greater(zero,growth_rate(X,T)) ),
inference(conjunct,[],[normalize_1_16]) ).
fof(normalize_1_30,plain,
~ greater(zero,growth_rate(first_movers,skolemFOFtoCNF_T_1)),
inference(conjunct,[],[normalize_1_5]) ).
fof(normalize_1_31,plain,
( ~ greater(growth_rate(first_movers,skolemFOFtoCNF_T_1),zero)
| ~ greater(zero,growth_rate(efficient_producers,skolemFOFtoCNF_T_1)) ),
inference(conjunct,[],[normalize_1_5]) ).
fof(normalize_1_32,plain,
! [E,T] :
( ~ environment(E)
| ~ subpopulations(first_movers,efficient_producers,E,T)
| greater(cardinality_at_time(efficient_producers,T),zero) ),
inference(conjunct,[],[normalize_1_12]) ).
fof(normalize_1_33,plain,
! [A,B,C] :
( A != sum(B,C)
| ~ constant(A)
| constant(C)
| decreases(B)
| decreases(C) ),
inference(conjunct,[],[normalize_1_20]) ).
fof(normalize_1_34,plain,
! [A,B,C] :
( A != sum(B,C)
| ~ constant(A)
| constant(C)
| decreases(B)
| increases(B) ),
inference(conjunct,[],[normalize_1_20]) ).
fof(normalize_1_35,plain,
greater(growth_rate(efficient_producers,skolemFOFtoCNF_T_1),zero),
inference(conjunct,[],[normalize_1_5]) ).
fof(normalize_1_36,plain,
( growth_rate(efficient_producers,skolemFOFtoCNF_T_1) != zero
| growth_rate(first_movers,skolemFOFtoCNF_T_1) != zero ),
inference(conjunct,[],[normalize_1_5]) ).
cnf(refute_1_0,plain,
( ~ environment(E)
| ~ in_environment(E,T)
| subpopulation(first_movers,E,T) ),
inference(canonicalize,[],[normalize_1_3]) ).
cnf(refute_1_1,plain,
( ~ environment(skolemFOFtoCNF_E_1)
| ~ in_environment(skolemFOFtoCNF_E_1,skolemFOFtoCNF_T_1)
| subpopulation(first_movers,skolemFOFtoCNF_E_1,skolemFOFtoCNF_T_1) ),
inference(subst,[],[refute_1_0:[bind(E,$fot(skolemFOFtoCNF_E_1)),bind(T,$fot(skolemFOFtoCNF_T_1))]]) ).
cnf(refute_1_2,plain,
subpopulations(first_movers,efficient_producers,skolemFOFtoCNF_E_1,skolemFOFtoCNF_T_1),
inference(canonicalize,[],[normalize_1_6]) ).
cnf(refute_1_3,plain,
( ~ environment(E)
| ~ subpopulations(first_movers,efficient_producers,E,T)
| in_environment(E,T) ),
inference(canonicalize,[],[normalize_1_8]) ).
cnf(refute_1_4,plain,
( ~ environment(skolemFOFtoCNF_E_1)
| ~ subpopulations(first_movers,efficient_producers,skolemFOFtoCNF_E_1,skolemFOFtoCNF_T_1)
| in_environment(skolemFOFtoCNF_E_1,skolemFOFtoCNF_T_1) ),
inference(subst,[],[refute_1_3:[bind(E,$fot(skolemFOFtoCNF_E_1)),bind(T,$fot(skolemFOFtoCNF_T_1))]]) ).
cnf(refute_1_5,plain,
( ~ environment(skolemFOFtoCNF_E_1)
| in_environment(skolemFOFtoCNF_E_1,skolemFOFtoCNF_T_1) ),
inference(resolve,[$cnf( subpopulations(first_movers,efficient_producers,skolemFOFtoCNF_E_1,skolemFOFtoCNF_T_1) )],[refute_1_2,refute_1_4]) ).
cnf(refute_1_6,plain,
environment(skolemFOFtoCNF_E_1),
inference(canonicalize,[],[normalize_1_9]) ).
cnf(refute_1_7,plain,
in_environment(skolemFOFtoCNF_E_1,skolemFOFtoCNF_T_1),
inference(resolve,[$cnf( environment(skolemFOFtoCNF_E_1) )],[refute_1_6,refute_1_5]) ).
cnf(refute_1_8,plain,
( ~ environment(skolemFOFtoCNF_E_1)
| subpopulation(first_movers,skolemFOFtoCNF_E_1,skolemFOFtoCNF_T_1) ),
inference(resolve,[$cnf( in_environment(skolemFOFtoCNF_E_1,skolemFOFtoCNF_T_1) )],[refute_1_7,refute_1_1]) ).
cnf(refute_1_9,plain,
subpopulation(first_movers,skolemFOFtoCNF_E_1,skolemFOFtoCNF_T_1),
inference(resolve,[$cnf( environment(skolemFOFtoCNF_E_1) )],[refute_1_6,refute_1_8]) ).
cnf(refute_1_10,plain,
( ~ environment(E)
| ~ subpopulations(first_movers,efficient_producers,E,T)
| greater(cardinality_at_time(first_movers,T),zero) ),
inference(canonicalize,[],[normalize_1_13]) ).
cnf(refute_1_11,plain,
( ~ environment(skolemFOFtoCNF_E_1)
| ~ subpopulations(first_movers,efficient_producers,skolemFOFtoCNF_E_1,skolemFOFtoCNF_T_1)
| greater(cardinality_at_time(first_movers,skolemFOFtoCNF_T_1),zero) ),
inference(subst,[],[refute_1_10:[bind(E,$fot(skolemFOFtoCNF_E_1)),bind(T,$fot(skolemFOFtoCNF_T_1))]]) ).
cnf(refute_1_12,plain,
( ~ environment(skolemFOFtoCNF_E_1)
| greater(cardinality_at_time(first_movers,skolemFOFtoCNF_T_1),zero) ),
inference(resolve,[$cnf( subpopulations(first_movers,efficient_producers,skolemFOFtoCNF_E_1,skolemFOFtoCNF_T_1) )],[refute_1_2,refute_1_11]) ).
cnf(refute_1_13,plain,
greater(cardinality_at_time(first_movers,skolemFOFtoCNF_T_1),zero),
inference(resolve,[$cnf( environment(skolemFOFtoCNF_E_1) )],[refute_1_6,refute_1_12]) ).
cnf(refute_1_14,plain,
( ~ constant(cardinality_at_time(X,T))
| ~ environment(E)
| ~ greater(cardinality_at_time(X,T),zero)
| ~ in_environment(E,T)
| ~ subpopulation(X,E,T)
| growth_rate(X,T) = zero ),
inference(canonicalize,[],[normalize_1_17]) ).
cnf(refute_1_15,plain,
( ~ constant(cardinality_at_time(first_movers,skolemFOFtoCNF_T_1))
| ~ environment(X_87)
| ~ greater(cardinality_at_time(first_movers,skolemFOFtoCNF_T_1),zero)
| ~ in_environment(X_87,skolemFOFtoCNF_T_1)
| ~ subpopulation(first_movers,X_87,skolemFOFtoCNF_T_1)
| growth_rate(first_movers,skolemFOFtoCNF_T_1) = zero ),
inference(subst,[],[refute_1_14:[bind(E,$fot(X_87)),bind(T,$fot(skolemFOFtoCNF_T_1)),bind(X,$fot(first_movers))]]) ).
cnf(refute_1_16,plain,
( ~ constant(cardinality_at_time(first_movers,skolemFOFtoCNF_T_1))
| ~ environment(X_87)
| ~ in_environment(X_87,skolemFOFtoCNF_T_1)
| ~ subpopulation(first_movers,X_87,skolemFOFtoCNF_T_1)
| growth_rate(first_movers,skolemFOFtoCNF_T_1) = zero ),
inference(resolve,[$cnf( greater(cardinality_at_time(first_movers,skolemFOFtoCNF_T_1),zero) )],[refute_1_13,refute_1_15]) ).
cnf(refute_1_17,plain,
( ~ constant(cardinality_at_time(first_movers,skolemFOFtoCNF_T_1))
| ~ environment(skolemFOFtoCNF_E_1)
| ~ in_environment(skolemFOFtoCNF_E_1,skolemFOFtoCNF_T_1)
| ~ subpopulation(first_movers,skolemFOFtoCNF_E_1,skolemFOFtoCNF_T_1)
| growth_rate(first_movers,skolemFOFtoCNF_T_1) = zero ),
inference(subst,[],[refute_1_16:[bind(X_87,$fot(skolemFOFtoCNF_E_1))]]) ).
cnf(refute_1_18,plain,
( ~ constant(cardinality_at_time(first_movers,skolemFOFtoCNF_T_1))
| ~ environment(skolemFOFtoCNF_E_1)
| ~ in_environment(skolemFOFtoCNF_E_1,skolemFOFtoCNF_T_1)
| growth_rate(first_movers,skolemFOFtoCNF_T_1) = zero ),
inference(resolve,[$cnf( subpopulation(first_movers,skolemFOFtoCNF_E_1,skolemFOFtoCNF_T_1) )],[refute_1_9,refute_1_17]) ).
cnf(refute_1_19,plain,
( ~ constant(cardinality_at_time(first_movers,skolemFOFtoCNF_T_1))
| ~ in_environment(skolemFOFtoCNF_E_1,skolemFOFtoCNF_T_1)
| growth_rate(first_movers,skolemFOFtoCNF_T_1) = zero ),
inference(resolve,[$cnf( environment(skolemFOFtoCNF_E_1) )],[refute_1_6,refute_1_18]) ).
cnf(refute_1_20,plain,
( ~ constant(cardinality_at_time(first_movers,skolemFOFtoCNF_T_1))
| growth_rate(first_movers,skolemFOFtoCNF_T_1) = zero ),
inference(resolve,[$cnf( in_environment(skolemFOFtoCNF_E_1,skolemFOFtoCNF_T_1) )],[refute_1_7,refute_1_19]) ).
cnf(refute_1_21,plain,
( A != sum(B,C)
| ~ constant(A)
| constant(B)
| decreases(B)
| increases(B) ),
inference(canonicalize,[],[normalize_1_21]) ).
cnf(refute_1_22,plain,
( sum(B,C) != sum(B,C)
| ~ constant(sum(B,C))
| constant(B)
| decreases(B)
| increases(B) ),
inference(subst,[],[refute_1_21:[bind(A,$fot(sum(B,C)))]]) ).
cnf(refute_1_23,plain,
sum(B,C) = sum(B,C),
introduced(tautology,[refl,[$fot(sum(B,C))]]) ).
cnf(refute_1_24,plain,
( ~ constant(sum(B,C))
| constant(B)
| decreases(B)
| increases(B) ),
inference(resolve,[$cnf( $equal(sum(B,C),sum(B,C)) )],[refute_1_23,refute_1_22]) ).
cnf(refute_1_25,plain,
( ~ constant(sum(cardinality_at_time(first_movers,skolemFOFtoCNF_T_1),cardinality_at_time(efficient_producers,skolemFOFtoCNF_T_1)))
| constant(cardinality_at_time(first_movers,skolemFOFtoCNF_T_1))
| decreases(cardinality_at_time(first_movers,skolemFOFtoCNF_T_1))
| increases(cardinality_at_time(first_movers,skolemFOFtoCNF_T_1)) ),
inference(subst,[],[refute_1_24:[bind(B,$fot(cardinality_at_time(first_movers,skolemFOFtoCNF_T_1))),bind(C,$fot(cardinality_at_time(efficient_producers,skolemFOFtoCNF_T_1)))]]) ).
cnf(refute_1_26,plain,
( ~ environment(E)
| ~ in_environment(E,T)
| subpopulation(efficient_producers,E,T) ),
inference(canonicalize,[],[normalize_1_22]) ).
cnf(refute_1_27,plain,
( ~ environment(skolemFOFtoCNF_E_1)
| ~ in_environment(skolemFOFtoCNF_E_1,skolemFOFtoCNF_T_1)
| subpopulation(efficient_producers,skolemFOFtoCNF_E_1,skolemFOFtoCNF_T_1) ),
inference(subst,[],[refute_1_26:[bind(E,$fot(skolemFOFtoCNF_E_1)),bind(T,$fot(skolemFOFtoCNF_T_1))]]) ).
cnf(refute_1_28,plain,
( ~ environment(skolemFOFtoCNF_E_1)
| subpopulation(efficient_producers,skolemFOFtoCNF_E_1,skolemFOFtoCNF_T_1) ),
inference(resolve,[$cnf( in_environment(skolemFOFtoCNF_E_1,skolemFOFtoCNF_T_1) )],[refute_1_7,refute_1_27]) ).
cnf(refute_1_29,plain,
subpopulation(efficient_producers,skolemFOFtoCNF_E_1,skolemFOFtoCNF_T_1),
inference(resolve,[$cnf( environment(skolemFOFtoCNF_E_1) )],[refute_1_6,refute_1_28]) ).
cnf(refute_1_30,plain,
( X != efficient_producers
| ~ environment(E)
| ~ subpopulation(X,E,T)
| number_of_organizations(E,T) = sum(cardinality_at_time(first_movers,T),cardinality_at_time(efficient_producers,T)) ),
inference(canonicalize,[],[normalize_1_26]) ).
cnf(refute_1_31,plain,
( efficient_producers != efficient_producers
| ~ environment(E)
| ~ subpopulation(efficient_producers,E,T)
| number_of_organizations(E,T) = sum(cardinality_at_time(first_movers,T),cardinality_at_time(efficient_producers,T)) ),
inference(subst,[],[refute_1_30:[bind(X,$fot(efficient_producers))]]) ).
cnf(refute_1_32,plain,
efficient_producers = efficient_producers,
introduced(tautology,[refl,[$fot(efficient_producers)]]) ).
cnf(refute_1_33,plain,
( ~ environment(E)
| ~ subpopulation(efficient_producers,E,T)
| number_of_organizations(E,T) = sum(cardinality_at_time(first_movers,T),cardinality_at_time(efficient_producers,T)) ),
inference(resolve,[$cnf( $equal(efficient_producers,efficient_producers) )],[refute_1_32,refute_1_31]) ).
cnf(refute_1_34,plain,
( ~ environment(skolemFOFtoCNF_E_1)
| ~ subpopulation(efficient_producers,skolemFOFtoCNF_E_1,skolemFOFtoCNF_T_1)
| number_of_organizations(skolemFOFtoCNF_E_1,skolemFOFtoCNF_T_1) = sum(cardinality_at_time(first_movers,skolemFOFtoCNF_T_1),cardinality_at_time(efficient_producers,skolemFOFtoCNF_T_1)) ),
inference(subst,[],[refute_1_33:[bind(E,$fot(skolemFOFtoCNF_E_1)),bind(T,$fot(skolemFOFtoCNF_T_1))]]) ).
cnf(refute_1_35,plain,
( ~ environment(skolemFOFtoCNF_E_1)
| number_of_organizations(skolemFOFtoCNF_E_1,skolemFOFtoCNF_T_1) = sum(cardinality_at_time(first_movers,skolemFOFtoCNF_T_1),cardinality_at_time(efficient_producers,skolemFOFtoCNF_T_1)) ),
inference(resolve,[$cnf( subpopulation(efficient_producers,skolemFOFtoCNF_E_1,skolemFOFtoCNF_T_1) )],[refute_1_29,refute_1_34]) ).
cnf(refute_1_36,plain,
number_of_organizations(skolemFOFtoCNF_E_1,skolemFOFtoCNF_T_1) = sum(cardinality_at_time(first_movers,skolemFOFtoCNF_T_1),cardinality_at_time(efficient_producers,skolemFOFtoCNF_T_1)),
inference(resolve,[$cnf( environment(skolemFOFtoCNF_E_1) )],[refute_1_6,refute_1_35]) ).
cnf(refute_1_37,plain,
X0 = X0,
introduced(tautology,[refl,[$fot(X0)]]) ).
cnf(refute_1_38,plain,
( X0 != X0
| X0 != Y
| Y = X0 ),
introduced(tautology,[equality,[$cnf( $equal(X0,X0) ),[0],$fot(Y)]]) ).
cnf(refute_1_39,plain,
( X0 != Y
| Y = X0 ),
inference(resolve,[$cnf( $equal(X0,X0) )],[refute_1_37,refute_1_38]) ).
cnf(refute_1_40,plain,
( number_of_organizations(skolemFOFtoCNF_E_1,skolemFOFtoCNF_T_1) != sum(cardinality_at_time(first_movers,skolemFOFtoCNF_T_1),cardinality_at_time(efficient_producers,skolemFOFtoCNF_T_1))
| sum(cardinality_at_time(first_movers,skolemFOFtoCNF_T_1),cardinality_at_time(efficient_producers,skolemFOFtoCNF_T_1)) = number_of_organizations(skolemFOFtoCNF_E_1,skolemFOFtoCNF_T_1) ),
inference(subst,[],[refute_1_39:[bind(X0,$fot(number_of_organizations(skolemFOFtoCNF_E_1,skolemFOFtoCNF_T_1))),bind(Y,$fot(sum(cardinality_at_time(first_movers,skolemFOFtoCNF_T_1),cardinality_at_time(efficient_producers,skolemFOFtoCNF_T_1))))]]) ).
cnf(refute_1_41,plain,
sum(cardinality_at_time(first_movers,skolemFOFtoCNF_T_1),cardinality_at_time(efficient_producers,skolemFOFtoCNF_T_1)) = number_of_organizations(skolemFOFtoCNF_E_1,skolemFOFtoCNF_T_1),
inference(resolve,[$cnf( $equal(number_of_organizations(skolemFOFtoCNF_E_1,skolemFOFtoCNF_T_1),sum(cardinality_at_time(first_movers,skolemFOFtoCNF_T_1),cardinality_at_time(efficient_producers,skolemFOFtoCNF_T_1))) )],[refute_1_36,refute_1_40]) ).
cnf(refute_1_42,plain,
( sum(cardinality_at_time(first_movers,skolemFOFtoCNF_T_1),cardinality_at_time(efficient_producers,skolemFOFtoCNF_T_1)) != number_of_organizations(skolemFOFtoCNF_E_1,skolemFOFtoCNF_T_1)
| ~ constant(number_of_organizations(skolemFOFtoCNF_E_1,skolemFOFtoCNF_T_1))
| constant(sum(cardinality_at_time(first_movers,skolemFOFtoCNF_T_1),cardinality_at_time(efficient_producers,skolemFOFtoCNF_T_1))) ),
introduced(tautology,[equality,[$cnf( ~ constant(sum(cardinality_at_time(first_movers,skolemFOFtoCNF_T_1),cardinality_at_time(efficient_producers,skolemFOFtoCNF_T_1))) ),[0],$fot(number_of_organizations(skolemFOFtoCNF_E_1,skolemFOFtoCNF_T_1))]]) ).
cnf(refute_1_43,plain,
( ~ constant(number_of_organizations(skolemFOFtoCNF_E_1,skolemFOFtoCNF_T_1))
| constant(sum(cardinality_at_time(first_movers,skolemFOFtoCNF_T_1),cardinality_at_time(efficient_producers,skolemFOFtoCNF_T_1))) ),
inference(resolve,[$cnf( $equal(sum(cardinality_at_time(first_movers,skolemFOFtoCNF_T_1),cardinality_at_time(efficient_producers,skolemFOFtoCNF_T_1)),number_of_organizations(skolemFOFtoCNF_E_1,skolemFOFtoCNF_T_1)) )],[refute_1_41,refute_1_42]) ).
cnf(refute_1_44,plain,
( ~ constant(number_of_organizations(skolemFOFtoCNF_E_1,skolemFOFtoCNF_T_1))
| constant(cardinality_at_time(first_movers,skolemFOFtoCNF_T_1))
| decreases(cardinality_at_time(first_movers,skolemFOFtoCNF_T_1))
| increases(cardinality_at_time(first_movers,skolemFOFtoCNF_T_1)) ),
inference(resolve,[$cnf( constant(sum(cardinality_at_time(first_movers,skolemFOFtoCNF_T_1),cardinality_at_time(efficient_producers,skolemFOFtoCNF_T_1))) )],[refute_1_43,refute_1_25]) ).
cnf(refute_1_45,plain,
constant(number_of_organizations(skolemFOFtoCNF_E_1,skolemFOFtoCNF_T_1)),
inference(canonicalize,[],[normalize_1_27]) ).
cnf(refute_1_46,plain,
( constant(cardinality_at_time(first_movers,skolemFOFtoCNF_T_1))
| decreases(cardinality_at_time(first_movers,skolemFOFtoCNF_T_1))
| increases(cardinality_at_time(first_movers,skolemFOFtoCNF_T_1)) ),
inference(resolve,[$cnf( constant(number_of_organizations(skolemFOFtoCNF_E_1,skolemFOFtoCNF_T_1)) )],[refute_1_45,refute_1_44]) ).
cnf(refute_1_47,plain,
( ~ environment(E)
| ~ greater(cardinality_at_time(X,T),zero)
| ~ in_environment(E,T)
| ~ increases(cardinality_at_time(X,T))
| ~ subpopulation(X,E,T)
| greater(growth_rate(X,T),zero) ),
inference(canonicalize,[],[normalize_1_28]) ).
cnf(refute_1_48,plain,
( ~ environment(X_97)
| ~ greater(cardinality_at_time(first_movers,skolemFOFtoCNF_T_1),zero)
| ~ in_environment(X_97,skolemFOFtoCNF_T_1)
| ~ increases(cardinality_at_time(first_movers,skolemFOFtoCNF_T_1))
| ~ subpopulation(first_movers,X_97,skolemFOFtoCNF_T_1)
| greater(growth_rate(first_movers,skolemFOFtoCNF_T_1),zero) ),
inference(subst,[],[refute_1_47:[bind(E,$fot(X_97)),bind(T,$fot(skolemFOFtoCNF_T_1)),bind(X,$fot(first_movers))]]) ).
cnf(refute_1_49,plain,
( ~ environment(X_97)
| ~ in_environment(X_97,skolemFOFtoCNF_T_1)
| ~ increases(cardinality_at_time(first_movers,skolemFOFtoCNF_T_1))
| ~ subpopulation(first_movers,X_97,skolemFOFtoCNF_T_1)
| greater(growth_rate(first_movers,skolemFOFtoCNF_T_1),zero) ),
inference(resolve,[$cnf( greater(cardinality_at_time(first_movers,skolemFOFtoCNF_T_1),zero) )],[refute_1_13,refute_1_48]) ).
cnf(refute_1_50,plain,
( ~ environment(skolemFOFtoCNF_E_1)
| ~ in_environment(skolemFOFtoCNF_E_1,skolemFOFtoCNF_T_1)
| ~ increases(cardinality_at_time(first_movers,skolemFOFtoCNF_T_1))
| ~ subpopulation(first_movers,skolemFOFtoCNF_E_1,skolemFOFtoCNF_T_1)
| greater(growth_rate(first_movers,skolemFOFtoCNF_T_1),zero) ),
inference(subst,[],[refute_1_49:[bind(X_97,$fot(skolemFOFtoCNF_E_1))]]) ).
cnf(refute_1_51,plain,
( ~ environment(skolemFOFtoCNF_E_1)
| ~ in_environment(skolemFOFtoCNF_E_1,skolemFOFtoCNF_T_1)
| ~ increases(cardinality_at_time(first_movers,skolemFOFtoCNF_T_1))
| greater(growth_rate(first_movers,skolemFOFtoCNF_T_1),zero) ),
inference(resolve,[$cnf( subpopulation(first_movers,skolemFOFtoCNF_E_1,skolemFOFtoCNF_T_1) )],[refute_1_9,refute_1_50]) ).
cnf(refute_1_52,plain,
( ~ in_environment(skolemFOFtoCNF_E_1,skolemFOFtoCNF_T_1)
| ~ increases(cardinality_at_time(first_movers,skolemFOFtoCNF_T_1))
| greater(growth_rate(first_movers,skolemFOFtoCNF_T_1),zero) ),
inference(resolve,[$cnf( environment(skolemFOFtoCNF_E_1) )],[refute_1_6,refute_1_51]) ).
cnf(refute_1_53,plain,
( ~ increases(cardinality_at_time(first_movers,skolemFOFtoCNF_T_1))
| greater(growth_rate(first_movers,skolemFOFtoCNF_T_1),zero) ),
inference(resolve,[$cnf( in_environment(skolemFOFtoCNF_E_1,skolemFOFtoCNF_T_1) )],[refute_1_7,refute_1_52]) ).
cnf(refute_1_54,plain,
( constant(cardinality_at_time(first_movers,skolemFOFtoCNF_T_1))
| decreases(cardinality_at_time(first_movers,skolemFOFtoCNF_T_1))
| greater(growth_rate(first_movers,skolemFOFtoCNF_T_1),zero) ),
inference(resolve,[$cnf( increases(cardinality_at_time(first_movers,skolemFOFtoCNF_T_1)) )],[refute_1_46,refute_1_53]) ).
cnf(refute_1_55,plain,
( ~ decreases(cardinality_at_time(X,T))
| ~ environment(E)
| ~ greater(cardinality_at_time(X,T),zero)
| ~ in_environment(E,T)
| ~ subpopulation(X,E,T)
| greater(zero,growth_rate(X,T)) ),
inference(canonicalize,[],[normalize_1_29]) ).
cnf(refute_1_56,plain,
( ~ decreases(cardinality_at_time(first_movers,skolemFOFtoCNF_T_1))
| ~ environment(X_92)
| ~ greater(cardinality_at_time(first_movers,skolemFOFtoCNF_T_1),zero)
| ~ in_environment(X_92,skolemFOFtoCNF_T_1)
| ~ subpopulation(first_movers,X_92,skolemFOFtoCNF_T_1)
| greater(zero,growth_rate(first_movers,skolemFOFtoCNF_T_1)) ),
inference(subst,[],[refute_1_55:[bind(E,$fot(X_92)),bind(T,$fot(skolemFOFtoCNF_T_1)),bind(X,$fot(first_movers))]]) ).
cnf(refute_1_57,plain,
( ~ decreases(cardinality_at_time(first_movers,skolemFOFtoCNF_T_1))
| ~ environment(X_92)
| ~ in_environment(X_92,skolemFOFtoCNF_T_1)
| ~ subpopulation(first_movers,X_92,skolemFOFtoCNF_T_1)
| greater(zero,growth_rate(first_movers,skolemFOFtoCNF_T_1)) ),
inference(resolve,[$cnf( greater(cardinality_at_time(first_movers,skolemFOFtoCNF_T_1),zero) )],[refute_1_13,refute_1_56]) ).
cnf(refute_1_58,plain,
~ greater(zero,growth_rate(first_movers,skolemFOFtoCNF_T_1)),
inference(canonicalize,[],[normalize_1_30]) ).
cnf(refute_1_59,plain,
( ~ decreases(cardinality_at_time(first_movers,skolemFOFtoCNF_T_1))
| ~ environment(X_92)
| ~ in_environment(X_92,skolemFOFtoCNF_T_1)
| ~ subpopulation(first_movers,X_92,skolemFOFtoCNF_T_1) ),
inference(resolve,[$cnf( greater(zero,growth_rate(first_movers,skolemFOFtoCNF_T_1)) )],[refute_1_57,refute_1_58]) ).
cnf(refute_1_60,plain,
( ~ decreases(cardinality_at_time(first_movers,skolemFOFtoCNF_T_1))
| ~ environment(skolemFOFtoCNF_E_1)
| ~ in_environment(skolemFOFtoCNF_E_1,skolemFOFtoCNF_T_1)
| ~ subpopulation(first_movers,skolemFOFtoCNF_E_1,skolemFOFtoCNF_T_1) ),
inference(subst,[],[refute_1_59:[bind(X_92,$fot(skolemFOFtoCNF_E_1))]]) ).
cnf(refute_1_61,plain,
( ~ decreases(cardinality_at_time(first_movers,skolemFOFtoCNF_T_1))
| ~ environment(skolemFOFtoCNF_E_1)
| ~ in_environment(skolemFOFtoCNF_E_1,skolemFOFtoCNF_T_1) ),
inference(resolve,[$cnf( subpopulation(first_movers,skolemFOFtoCNF_E_1,skolemFOFtoCNF_T_1) )],[refute_1_9,refute_1_60]) ).
cnf(refute_1_62,plain,
( ~ decreases(cardinality_at_time(first_movers,skolemFOFtoCNF_T_1))
| ~ in_environment(skolemFOFtoCNF_E_1,skolemFOFtoCNF_T_1) ),
inference(resolve,[$cnf( environment(skolemFOFtoCNF_E_1) )],[refute_1_6,refute_1_61]) ).
cnf(refute_1_63,plain,
~ decreases(cardinality_at_time(first_movers,skolemFOFtoCNF_T_1)),
inference(resolve,[$cnf( in_environment(skolemFOFtoCNF_E_1,skolemFOFtoCNF_T_1) )],[refute_1_7,refute_1_62]) ).
cnf(refute_1_64,plain,
( constant(cardinality_at_time(first_movers,skolemFOFtoCNF_T_1))
| greater(growth_rate(first_movers,skolemFOFtoCNF_T_1),zero) ),
inference(resolve,[$cnf( decreases(cardinality_at_time(first_movers,skolemFOFtoCNF_T_1)) )],[refute_1_54,refute_1_63]) ).
cnf(refute_1_65,plain,
( ~ greater(growth_rate(first_movers,skolemFOFtoCNF_T_1),zero)
| ~ greater(zero,growth_rate(efficient_producers,skolemFOFtoCNF_T_1)) ),
inference(canonicalize,[],[normalize_1_31]) ).
cnf(refute_1_66,plain,
( ~ environment(E)
| ~ subpopulations(first_movers,efficient_producers,E,T)
| greater(cardinality_at_time(efficient_producers,T),zero) ),
inference(canonicalize,[],[normalize_1_32]) ).
cnf(refute_1_67,plain,
( ~ environment(skolemFOFtoCNF_E_1)
| ~ subpopulations(first_movers,efficient_producers,skolemFOFtoCNF_E_1,skolemFOFtoCNF_T_1)
| greater(cardinality_at_time(efficient_producers,skolemFOFtoCNF_T_1),zero) ),
inference(subst,[],[refute_1_66:[bind(E,$fot(skolemFOFtoCNF_E_1)),bind(T,$fot(skolemFOFtoCNF_T_1))]]) ).
cnf(refute_1_68,plain,
( ~ environment(skolemFOFtoCNF_E_1)
| greater(cardinality_at_time(efficient_producers,skolemFOFtoCNF_T_1),zero) ),
inference(resolve,[$cnf( subpopulations(first_movers,efficient_producers,skolemFOFtoCNF_E_1,skolemFOFtoCNF_T_1) )],[refute_1_2,refute_1_67]) ).
cnf(refute_1_69,plain,
greater(cardinality_at_time(efficient_producers,skolemFOFtoCNF_T_1),zero),
inference(resolve,[$cnf( environment(skolemFOFtoCNF_E_1) )],[refute_1_6,refute_1_68]) ).
cnf(refute_1_70,plain,
( ~ constant(cardinality_at_time(efficient_producers,skolemFOFtoCNF_T_1))
| ~ environment(X_87)
| ~ greater(cardinality_at_time(efficient_producers,skolemFOFtoCNF_T_1),zero)
| ~ in_environment(X_87,skolemFOFtoCNF_T_1)
| ~ subpopulation(efficient_producers,X_87,skolemFOFtoCNF_T_1)
| growth_rate(efficient_producers,skolemFOFtoCNF_T_1) = zero ),
inference(subst,[],[refute_1_14:[bind(E,$fot(X_87)),bind(T,$fot(skolemFOFtoCNF_T_1)),bind(X,$fot(efficient_producers))]]) ).
cnf(refute_1_71,plain,
( ~ constant(cardinality_at_time(efficient_producers,skolemFOFtoCNF_T_1))
| ~ environment(X_87)
| ~ in_environment(X_87,skolemFOFtoCNF_T_1)
| ~ subpopulation(efficient_producers,X_87,skolemFOFtoCNF_T_1)
| growth_rate(efficient_producers,skolemFOFtoCNF_T_1) = zero ),
inference(resolve,[$cnf( greater(cardinality_at_time(efficient_producers,skolemFOFtoCNF_T_1),zero) )],[refute_1_69,refute_1_70]) ).
cnf(refute_1_72,plain,
( ~ constant(cardinality_at_time(efficient_producers,skolemFOFtoCNF_T_1))
| ~ environment(skolemFOFtoCNF_E_1)
| ~ in_environment(skolemFOFtoCNF_E_1,skolemFOFtoCNF_T_1)
| ~ subpopulation(efficient_producers,skolemFOFtoCNF_E_1,skolemFOFtoCNF_T_1)
| growth_rate(efficient_producers,skolemFOFtoCNF_T_1) = zero ),
inference(subst,[],[refute_1_71:[bind(X_87,$fot(skolemFOFtoCNF_E_1))]]) ).
cnf(refute_1_73,plain,
( ~ constant(cardinality_at_time(efficient_producers,skolemFOFtoCNF_T_1))
| ~ environment(skolemFOFtoCNF_E_1)
| ~ in_environment(skolemFOFtoCNF_E_1,skolemFOFtoCNF_T_1)
| growth_rate(efficient_producers,skolemFOFtoCNF_T_1) = zero ),
inference(resolve,[$cnf( subpopulation(efficient_producers,skolemFOFtoCNF_E_1,skolemFOFtoCNF_T_1) )],[refute_1_29,refute_1_72]) ).
cnf(refute_1_74,plain,
( ~ constant(cardinality_at_time(efficient_producers,skolemFOFtoCNF_T_1))
| ~ in_environment(skolemFOFtoCNF_E_1,skolemFOFtoCNF_T_1)
| growth_rate(efficient_producers,skolemFOFtoCNF_T_1) = zero ),
inference(resolve,[$cnf( environment(skolemFOFtoCNF_E_1) )],[refute_1_6,refute_1_73]) ).
cnf(refute_1_75,plain,
( ~ constant(cardinality_at_time(efficient_producers,skolemFOFtoCNF_T_1))
| growth_rate(efficient_producers,skolemFOFtoCNF_T_1) = zero ),
inference(resolve,[$cnf( in_environment(skolemFOFtoCNF_E_1,skolemFOFtoCNF_T_1) )],[refute_1_7,refute_1_74]) ).
cnf(refute_1_76,plain,
( A != sum(B,C)
| ~ constant(A)
| constant(C)
| decreases(B)
| decreases(C) ),
inference(canonicalize,[],[normalize_1_33]) ).
cnf(refute_1_77,plain,
( sum(B,C) != sum(B,C)
| ~ constant(sum(B,C))
| constant(C)
| decreases(B)
| decreases(C) ),
inference(subst,[],[refute_1_76:[bind(A,$fot(sum(B,C)))]]) ).
cnf(refute_1_78,plain,
( ~ constant(sum(B,C))
| constant(C)
| decreases(B)
| decreases(C) ),
inference(resolve,[$cnf( $equal(sum(B,C),sum(B,C)) )],[refute_1_23,refute_1_77]) ).
cnf(refute_1_79,plain,
( ~ constant(sum(cardinality_at_time(first_movers,skolemFOFtoCNF_T_1),cardinality_at_time(efficient_producers,skolemFOFtoCNF_T_1)))
| constant(cardinality_at_time(efficient_producers,skolemFOFtoCNF_T_1))
| decreases(cardinality_at_time(efficient_producers,skolemFOFtoCNF_T_1))
| decreases(cardinality_at_time(first_movers,skolemFOFtoCNF_T_1)) ),
inference(subst,[],[refute_1_78:[bind(B,$fot(cardinality_at_time(first_movers,skolemFOFtoCNF_T_1))),bind(C,$fot(cardinality_at_time(efficient_producers,skolemFOFtoCNF_T_1)))]]) ).
cnf(refute_1_80,plain,
( ~ constant(number_of_organizations(skolemFOFtoCNF_E_1,skolemFOFtoCNF_T_1))
| constant(cardinality_at_time(efficient_producers,skolemFOFtoCNF_T_1))
| decreases(cardinality_at_time(efficient_producers,skolemFOFtoCNF_T_1))
| decreases(cardinality_at_time(first_movers,skolemFOFtoCNF_T_1)) ),
inference(resolve,[$cnf( constant(sum(cardinality_at_time(first_movers,skolemFOFtoCNF_T_1),cardinality_at_time(efficient_producers,skolemFOFtoCNF_T_1))) )],[refute_1_43,refute_1_79]) ).
cnf(refute_1_81,plain,
( constant(cardinality_at_time(efficient_producers,skolemFOFtoCNF_T_1))
| decreases(cardinality_at_time(efficient_producers,skolemFOFtoCNF_T_1))
| decreases(cardinality_at_time(first_movers,skolemFOFtoCNF_T_1)) ),
inference(resolve,[$cnf( constant(number_of_organizations(skolemFOFtoCNF_E_1,skolemFOFtoCNF_T_1)) )],[refute_1_45,refute_1_80]) ).
cnf(refute_1_82,plain,
( constant(cardinality_at_time(efficient_producers,skolemFOFtoCNF_T_1))
| decreases(cardinality_at_time(efficient_producers,skolemFOFtoCNF_T_1)) ),
inference(resolve,[$cnf( decreases(cardinality_at_time(first_movers,skolemFOFtoCNF_T_1)) )],[refute_1_81,refute_1_63]) ).
cnf(refute_1_83,plain,
( ~ decreases(cardinality_at_time(efficient_producers,skolemFOFtoCNF_T_1))
| ~ environment(X_92)
| ~ greater(cardinality_at_time(efficient_producers,skolemFOFtoCNF_T_1),zero)
| ~ in_environment(X_92,skolemFOFtoCNF_T_1)
| ~ subpopulation(efficient_producers,X_92,skolemFOFtoCNF_T_1)
| greater(zero,growth_rate(efficient_producers,skolemFOFtoCNF_T_1)) ),
inference(subst,[],[refute_1_55:[bind(E,$fot(X_92)),bind(T,$fot(skolemFOFtoCNF_T_1)),bind(X,$fot(efficient_producers))]]) ).
cnf(refute_1_84,plain,
( ~ decreases(cardinality_at_time(efficient_producers,skolemFOFtoCNF_T_1))
| ~ environment(X_92)
| ~ in_environment(X_92,skolemFOFtoCNF_T_1)
| ~ subpopulation(efficient_producers,X_92,skolemFOFtoCNF_T_1)
| greater(zero,growth_rate(efficient_producers,skolemFOFtoCNF_T_1)) ),
inference(resolve,[$cnf( greater(cardinality_at_time(efficient_producers,skolemFOFtoCNF_T_1),zero) )],[refute_1_69,refute_1_83]) ).
cnf(refute_1_85,plain,
( ~ decreases(cardinality_at_time(efficient_producers,skolemFOFtoCNF_T_1))
| ~ environment(skolemFOFtoCNF_E_1)
| ~ in_environment(skolemFOFtoCNF_E_1,skolemFOFtoCNF_T_1)
| ~ subpopulation(efficient_producers,skolemFOFtoCNF_E_1,skolemFOFtoCNF_T_1)
| greater(zero,growth_rate(efficient_producers,skolemFOFtoCNF_T_1)) ),
inference(subst,[],[refute_1_84:[bind(X_92,$fot(skolemFOFtoCNF_E_1))]]) ).
cnf(refute_1_86,plain,
( ~ decreases(cardinality_at_time(efficient_producers,skolemFOFtoCNF_T_1))
| ~ environment(skolemFOFtoCNF_E_1)
| ~ in_environment(skolemFOFtoCNF_E_1,skolemFOFtoCNF_T_1)
| greater(zero,growth_rate(efficient_producers,skolemFOFtoCNF_T_1)) ),
inference(resolve,[$cnf( subpopulation(efficient_producers,skolemFOFtoCNF_E_1,skolemFOFtoCNF_T_1) )],[refute_1_29,refute_1_85]) ).
cnf(refute_1_87,plain,
( ~ decreases(cardinality_at_time(efficient_producers,skolemFOFtoCNF_T_1))
| ~ in_environment(skolemFOFtoCNF_E_1,skolemFOFtoCNF_T_1)
| greater(zero,growth_rate(efficient_producers,skolemFOFtoCNF_T_1)) ),
inference(resolve,[$cnf( environment(skolemFOFtoCNF_E_1) )],[refute_1_6,refute_1_86]) ).
cnf(refute_1_88,plain,
( ~ decreases(cardinality_at_time(efficient_producers,skolemFOFtoCNF_T_1))
| greater(zero,growth_rate(efficient_producers,skolemFOFtoCNF_T_1)) ),
inference(resolve,[$cnf( in_environment(skolemFOFtoCNF_E_1,skolemFOFtoCNF_T_1) )],[refute_1_7,refute_1_87]) ).
cnf(refute_1_89,plain,
( constant(cardinality_at_time(efficient_producers,skolemFOFtoCNF_T_1))
| greater(zero,growth_rate(efficient_producers,skolemFOFtoCNF_T_1)) ),
inference(resolve,[$cnf( decreases(cardinality_at_time(efficient_producers,skolemFOFtoCNF_T_1)) )],[refute_1_82,refute_1_88]) ).
cnf(refute_1_90,plain,
( A != sum(B,C)
| ~ constant(A)
| constant(C)
| decreases(B)
| increases(B) ),
inference(canonicalize,[],[normalize_1_34]) ).
cnf(refute_1_91,plain,
( sum(B,C) != sum(B,C)
| ~ constant(sum(B,C))
| constant(C)
| decreases(B)
| increases(B) ),
inference(subst,[],[refute_1_90:[bind(A,$fot(sum(B,C)))]]) ).
cnf(refute_1_92,plain,
( ~ constant(sum(B,C))
| constant(C)
| decreases(B)
| increases(B) ),
inference(resolve,[$cnf( $equal(sum(B,C),sum(B,C)) )],[refute_1_23,refute_1_91]) ).
cnf(refute_1_93,plain,
( ~ constant(sum(cardinality_at_time(first_movers,skolemFOFtoCNF_T_1),cardinality_at_time(efficient_producers,skolemFOFtoCNF_T_1)))
| constant(cardinality_at_time(efficient_producers,skolemFOFtoCNF_T_1))
| decreases(cardinality_at_time(first_movers,skolemFOFtoCNF_T_1))
| increases(cardinality_at_time(first_movers,skolemFOFtoCNF_T_1)) ),
inference(subst,[],[refute_1_92:[bind(B,$fot(cardinality_at_time(first_movers,skolemFOFtoCNF_T_1))),bind(C,$fot(cardinality_at_time(efficient_producers,skolemFOFtoCNF_T_1)))]]) ).
cnf(refute_1_94,plain,
( ~ constant(number_of_organizations(skolemFOFtoCNF_E_1,skolemFOFtoCNF_T_1))
| constant(cardinality_at_time(efficient_producers,skolemFOFtoCNF_T_1))
| decreases(cardinality_at_time(first_movers,skolemFOFtoCNF_T_1))
| increases(cardinality_at_time(first_movers,skolemFOFtoCNF_T_1)) ),
inference(resolve,[$cnf( constant(sum(cardinality_at_time(first_movers,skolemFOFtoCNF_T_1),cardinality_at_time(efficient_producers,skolemFOFtoCNF_T_1))) )],[refute_1_43,refute_1_93]) ).
cnf(refute_1_95,plain,
( constant(cardinality_at_time(efficient_producers,skolemFOFtoCNF_T_1))
| decreases(cardinality_at_time(first_movers,skolemFOFtoCNF_T_1))
| increases(cardinality_at_time(first_movers,skolemFOFtoCNF_T_1)) ),
inference(resolve,[$cnf( constant(number_of_organizations(skolemFOFtoCNF_E_1,skolemFOFtoCNF_T_1)) )],[refute_1_45,refute_1_94]) ).
cnf(refute_1_96,plain,
( constant(cardinality_at_time(efficient_producers,skolemFOFtoCNF_T_1))
| decreases(cardinality_at_time(first_movers,skolemFOFtoCNF_T_1))
| greater(growth_rate(first_movers,skolemFOFtoCNF_T_1),zero) ),
inference(resolve,[$cnf( increases(cardinality_at_time(first_movers,skolemFOFtoCNF_T_1)) )],[refute_1_95,refute_1_53]) ).
cnf(refute_1_97,plain,
( constant(cardinality_at_time(efficient_producers,skolemFOFtoCNF_T_1))
| greater(growth_rate(first_movers,skolemFOFtoCNF_T_1),zero) ),
inference(resolve,[$cnf( decreases(cardinality_at_time(first_movers,skolemFOFtoCNF_T_1)) )],[refute_1_96,refute_1_63]) ).
cnf(refute_1_98,plain,
( ~ greater(zero,growth_rate(efficient_producers,skolemFOFtoCNF_T_1))
| constant(cardinality_at_time(efficient_producers,skolemFOFtoCNF_T_1)) ),
inference(resolve,[$cnf( greater(growth_rate(first_movers,skolemFOFtoCNF_T_1),zero) )],[refute_1_97,refute_1_65]) ).
cnf(refute_1_99,plain,
constant(cardinality_at_time(efficient_producers,skolemFOFtoCNF_T_1)),
inference(resolve,[$cnf( greater(zero,growth_rate(efficient_producers,skolemFOFtoCNF_T_1)) )],[refute_1_89,refute_1_98]) ).
cnf(refute_1_100,plain,
growth_rate(efficient_producers,skolemFOFtoCNF_T_1) = zero,
inference(resolve,[$cnf( constant(cardinality_at_time(efficient_producers,skolemFOFtoCNF_T_1)) )],[refute_1_99,refute_1_75]) ).
cnf(refute_1_101,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_102,plain,
( ~ greater(zero,zero)
| greater(zero,growth_rate(efficient_producers,skolemFOFtoCNF_T_1)) ),
inference(resolve,[$cnf( $equal(growth_rate(efficient_producers,skolemFOFtoCNF_T_1),zero) )],[refute_1_100,refute_1_101]) ).
cnf(refute_1_103,plain,
( ~ greater(growth_rate(first_movers,skolemFOFtoCNF_T_1),zero)
| ~ greater(zero,zero) ),
inference(resolve,[$cnf( greater(zero,growth_rate(efficient_producers,skolemFOFtoCNF_T_1)) )],[refute_1_102,refute_1_65]) ).
cnf(refute_1_104,plain,
greater(growth_rate(efficient_producers,skolemFOFtoCNF_T_1),zero),
inference(canonicalize,[],[normalize_1_35]) ).
cnf(refute_1_105,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_106,plain,
( ~ greater(growth_rate(efficient_producers,skolemFOFtoCNF_T_1),zero)
| greater(zero,zero) ),
inference(resolve,[$cnf( $equal(growth_rate(efficient_producers,skolemFOFtoCNF_T_1),zero) )],[refute_1_100,refute_1_105]) ).
cnf(refute_1_107,plain,
greater(zero,zero),
inference(resolve,[$cnf( greater(growth_rate(efficient_producers,skolemFOFtoCNF_T_1),zero) )],[refute_1_104,refute_1_106]) ).
cnf(refute_1_108,plain,
~ greater(growth_rate(first_movers,skolemFOFtoCNF_T_1),zero),
inference(resolve,[$cnf( greater(zero,zero) )],[refute_1_107,refute_1_103]) ).
cnf(refute_1_109,plain,
constant(cardinality_at_time(first_movers,skolemFOFtoCNF_T_1)),
inference(resolve,[$cnf( greater(growth_rate(first_movers,skolemFOFtoCNF_T_1),zero) )],[refute_1_64,refute_1_108]) ).
cnf(refute_1_110,plain,
growth_rate(first_movers,skolemFOFtoCNF_T_1) = zero,
inference(resolve,[$cnf( constant(cardinality_at_time(first_movers,skolemFOFtoCNF_T_1)) )],[refute_1_109,refute_1_20]) ).
cnf(refute_1_111,plain,
( growth_rate(efficient_producers,skolemFOFtoCNF_T_1) != zero
| growth_rate(first_movers,skolemFOFtoCNF_T_1) != zero ),
inference(canonicalize,[],[normalize_1_36]) ).
cnf(refute_1_112,plain,
( growth_rate(efficient_producers,skolemFOFtoCNF_T_1) != zero
| zero != zero
| growth_rate(efficient_producers,skolemFOFtoCNF_T_1) = zero ),
introduced(tautology,[equality,[$cnf( ~ $equal(growth_rate(efficient_producers,skolemFOFtoCNF_T_1),zero) ),[0],$fot(zero)]]) ).
cnf(refute_1_113,plain,
( zero != zero
| growth_rate(efficient_producers,skolemFOFtoCNF_T_1) = zero ),
inference(resolve,[$cnf( $equal(growth_rate(efficient_producers,skolemFOFtoCNF_T_1),zero) )],[refute_1_100,refute_1_112]) ).
cnf(refute_1_114,plain,
( growth_rate(first_movers,skolemFOFtoCNF_T_1) != zero
| zero != zero ),
inference(resolve,[$cnf( $equal(growth_rate(efficient_producers,skolemFOFtoCNF_T_1),zero) )],[refute_1_113,refute_1_111]) ).
cnf(refute_1_115,plain,
zero = zero,
introduced(tautology,[refl,[$fot(zero)]]) ).
cnf(refute_1_116,plain,
growth_rate(first_movers,skolemFOFtoCNF_T_1) != zero,
inference(resolve,[$cnf( $equal(zero,zero) )],[refute_1_115,refute_1_114]) ).
cnf(refute_1_117,plain,
$false,
inference(resolve,[$cnf( $equal(growth_rate(first_movers,skolemFOFtoCNF_T_1),zero) )],[refute_1_110,refute_1_116]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.08 % Problem : MGT025+1 : TPTP v8.1.0. Released v2.0.0.
% 0.02/0.09 % Command : metis --show proof --show saturation %s
% 0.08/0.28 % Computer : n020.cluster.edu
% 0.08/0.28 % Model : x86_64 x86_64
% 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28 % Memory : 8042.1875MB
% 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28 % CPULimit : 300
% 0.08/0.28 % WCLimit : 600
% 0.08/0.28 % DateTime : Thu Jun 9 08:53:36 EDT 2022
% 0.08/0.28 % CPUTime :
% 0.08/0.29 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.13/0.32 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.32
% 0.13/0.32 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.13/0.35
%------------------------------------------------------------------------------