TSTP Solution File: MGT030-1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : MGT030-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n029.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sun Jul 17 22:19:19 EDT 2022
% Result : Unsatisfiable 0.11s 0.37s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 63
% Number of leaves : 16
% Syntax : Number of clauses : 115 ( 13 unt; 64 nHn; 115 RR)
% Number of literals : 358 ( 0 equ; 181 neg)
% Maximal clause size : 6 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-4 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 53 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(mp_earliest_time_growth_rate_exceeds_1,axiom,
( ~ environment(A)
| ~ in_environment(A,B)
| subpopulations(first_movers,efficient_producers,A,sk1(B,A))
| in_environment(A,sk2(A)) ) ).
cnf(mp_earliest_time_growth_rate_exceeds_2,axiom,
( ~ environment(A)
| ~ in_environment(A,B)
| greater_or_equal(sk1(B,A),B)
| in_environment(A,sk2(A)) ) ).
cnf(mp_earliest_time_growth_rate_exceeds_3,axiom,
( ~ environment(A)
| ~ in_environment(A,B)
| subpopulations(first_movers,efficient_producers,A,sk1(B,A))
| ~ greater(growth_rate(efficient_producers,sk2(A)),growth_rate(first_movers,sk2(A))) ) ).
cnf(mp_earliest_time_growth_rate_exceeds_4,axiom,
( ~ environment(A)
| ~ in_environment(A,B)
| subpopulations(first_movers,efficient_producers,A,sk1(B,A))
| ~ subpopulations(first_movers,efficient_producers,A,C)
| ~ greater(C,sk2(A))
| greater(growth_rate(efficient_producers,C),growth_rate(first_movers,C)) ) ).
cnf(mp_earliest_time_growth_rate_exceeds_5,axiom,
( ~ environment(A)
| ~ in_environment(A,B)
| greater_or_equal(sk1(B,A),B)
| ~ greater(growth_rate(efficient_producers,sk2(A)),growth_rate(first_movers,sk2(A))) ) ).
cnf(mp_earliest_time_growth_rate_exceeds_6,axiom,
( ~ environment(A)
| ~ in_environment(A,B)
| greater_or_equal(sk1(B,A),B)
| ~ subpopulations(first_movers,efficient_producers,A,C)
| ~ greater(C,sk2(A))
| greater(growth_rate(efficient_producers,C),growth_rate(first_movers,C)) ) ).
cnf(mp_earliest_time_growth_rate_exceeds_7,axiom,
( ~ environment(A)
| ~ in_environment(A,B)
| ~ greater(growth_rate(efficient_producers,sk1(B,A)),growth_rate(first_movers,sk1(B,A)))
| in_environment(A,sk2(A)) ) ).
cnf(mp_earliest_time_growth_rate_exceeds_8,axiom,
( ~ environment(A)
| ~ in_environment(A,B)
| ~ greater(growth_rate(efficient_producers,sk1(B,A)),growth_rate(first_movers,sk1(B,A)))
| ~ greater(growth_rate(efficient_producers,sk2(A)),growth_rate(first_movers,sk2(A))) ) ).
cnf(mp_earliest_time_growth_rate_exceeds_9,axiom,
( ~ environment(A)
| ~ in_environment(A,B)
| ~ greater(growth_rate(efficient_producers,sk1(B,A)),growth_rate(first_movers,sk1(B,A)))
| ~ subpopulations(first_movers,efficient_producers,A,C)
| ~ greater(C,sk2(A))
| greater(growth_rate(efficient_producers,C),growth_rate(first_movers,C)) ) ).
cnf(l1_10,hypothesis,
( ~ environment(A)
| ~ stable(A)
| in_environment(A,sk3(A)) ) ).
cnf(l1_11,hypothesis,
( ~ environment(A)
| ~ stable(A)
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ greater_or_equal(B,sk3(A))
| greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B)) ) ).
cnf(prove_l12_12,negated_conjecture,
environment(sk4) ).
cnf(prove_l12_13,negated_conjecture,
stable(sk4) ).
cnf(prove_l12_14,negated_conjecture,
( ~ in_environment(sk4,A)
| greater(growth_rate(efficient_producers,A),growth_rate(first_movers,A))
| subpopulations(first_movers,efficient_producers,sk4,sk5(A)) ) ).
cnf(prove_l12_15,negated_conjecture,
( ~ in_environment(sk4,A)
| greater(growth_rate(efficient_producers,A),growth_rate(first_movers,A))
| greater(sk5(A),A) ) ).
cnf(prove_l12_16,negated_conjecture,
( ~ in_environment(sk4,A)
| greater(growth_rate(efficient_producers,A),growth_rate(first_movers,A))
| ~ greater(growth_rate(efficient_producers,sk5(A)),growth_rate(first_movers,sk5(A))) ) ).
cnf(refute_0_0,plain,
( ~ greater(growth_rate(efficient_producers,sk5(sk2(sk4))),growth_rate(first_movers,sk5(sk2(sk4))))
| ~ in_environment(sk4,sk2(sk4))
| greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4))) ),
inference(subst,[],[prove_l12_16:[bind(A,$fot(sk2(sk4)))]]) ).
cnf(refute_0_1,plain,
( ~ in_environment(sk4,sk2(sk4))
| greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4)))
| subpopulations(first_movers,efficient_producers,sk4,sk5(sk2(sk4))) ),
inference(subst,[],[prove_l12_14:[bind(A,$fot(sk2(sk4)))]]) ).
cnf(refute_0_2,plain,
( ~ environment(sk4)
| ~ greater(growth_rate(efficient_producers,sk1(sk3(sk4),sk4)),growth_rate(first_movers,sk1(sk3(sk4),sk4)))
| ~ in_environment(sk4,sk3(sk4))
| in_environment(sk4,sk2(sk4)) ),
inference(subst,[],[mp_earliest_time_growth_rate_exceeds_7:[bind(A,$fot(sk4)),bind(B,$fot(sk3(sk4)))]]) ).
cnf(refute_0_3,plain,
( ~ environment(sk4)
| ~ stable(sk4)
| in_environment(sk4,sk3(sk4)) ),
inference(subst,[],[l1_10:[bind(A,$fot(sk4))]]) ).
cnf(refute_0_4,plain,
( ~ environment(sk4)
| in_environment(sk4,sk3(sk4)) ),
inference(resolve,[$cnf( stable(sk4) )],[prove_l12_13,refute_0_3]) ).
cnf(refute_0_5,plain,
in_environment(sk4,sk3(sk4)),
inference(resolve,[$cnf( environment(sk4) )],[prove_l12_12,refute_0_4]) ).
cnf(refute_0_6,plain,
( ~ environment(sk4)
| ~ in_environment(sk4,sk3(sk4))
| greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4))
| in_environment(sk4,sk2(sk4)) ),
inference(subst,[],[mp_earliest_time_growth_rate_exceeds_2:[bind(A,$fot(sk4)),bind(B,$fot(sk3(sk4)))]]) ).
cnf(refute_0_7,plain,
( ~ environment(sk4)
| greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4))
| in_environment(sk4,sk2(sk4)) ),
inference(resolve,[$cnf( in_environment(sk4,sk3(sk4)) )],[refute_0_5,refute_0_6]) ).
cnf(refute_0_8,plain,
( greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4))
| in_environment(sk4,sk2(sk4)) ),
inference(resolve,[$cnf( environment(sk4) )],[prove_l12_12,refute_0_7]) ).
cnf(refute_0_9,plain,
( ~ environment(sk4)
| ~ in_environment(sk4,sk3(sk4))
| in_environment(sk4,sk2(sk4))
| subpopulations(first_movers,efficient_producers,sk4,sk1(sk3(sk4),sk4)) ),
inference(subst,[],[mp_earliest_time_growth_rate_exceeds_1:[bind(A,$fot(sk4)),bind(B,$fot(sk3(sk4)))]]) ).
cnf(refute_0_10,plain,
( ~ environment(sk4)
| in_environment(sk4,sk2(sk4))
| subpopulations(first_movers,efficient_producers,sk4,sk1(sk3(sk4),sk4)) ),
inference(resolve,[$cnf( in_environment(sk4,sk3(sk4)) )],[refute_0_5,refute_0_9]) ).
cnf(refute_0_11,plain,
( in_environment(sk4,sk2(sk4))
| subpopulations(first_movers,efficient_producers,sk4,sk1(sk3(sk4),sk4)) ),
inference(resolve,[$cnf( environment(sk4) )],[prove_l12_12,refute_0_10]) ).
cnf(refute_0_12,plain,
( ~ environment(sk4)
| ~ greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4))
| ~ stable(sk4)
| ~ subpopulations(first_movers,efficient_producers,sk4,sk1(sk3(sk4),sk4))
| greater(growth_rate(efficient_producers,sk1(sk3(sk4),sk4)),growth_rate(first_movers,sk1(sk3(sk4),sk4))) ),
inference(subst,[],[l1_11:[bind(A,$fot(sk4)),bind(B,$fot(sk1(sk3(sk4),sk4)))]]) ).
cnf(refute_0_13,plain,
( ~ environment(sk4)
| ~ greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4))
| ~ stable(sk4)
| greater(growth_rate(efficient_producers,sk1(sk3(sk4),sk4)),growth_rate(first_movers,sk1(sk3(sk4),sk4)))
| in_environment(sk4,sk2(sk4)) ),
inference(resolve,[$cnf( subpopulations(first_movers,efficient_producers,sk4,sk1(sk3(sk4),sk4)) )],[refute_0_11,refute_0_12]) ).
cnf(refute_0_14,plain,
( ~ greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4))
| ~ stable(sk4)
| greater(growth_rate(efficient_producers,sk1(sk3(sk4),sk4)),growth_rate(first_movers,sk1(sk3(sk4),sk4)))
| in_environment(sk4,sk2(sk4)) ),
inference(resolve,[$cnf( environment(sk4) )],[prove_l12_12,refute_0_13]) ).
cnf(refute_0_15,plain,
( ~ greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4))
| greater(growth_rate(efficient_producers,sk1(sk3(sk4),sk4)),growth_rate(first_movers,sk1(sk3(sk4),sk4)))
| in_environment(sk4,sk2(sk4)) ),
inference(resolve,[$cnf( stable(sk4) )],[prove_l12_13,refute_0_14]) ).
cnf(refute_0_16,plain,
( greater(growth_rate(efficient_producers,sk1(sk3(sk4),sk4)),growth_rate(first_movers,sk1(sk3(sk4),sk4)))
| in_environment(sk4,sk2(sk4)) ),
inference(resolve,[$cnf( greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4)) )],[refute_0_8,refute_0_15]) ).
cnf(refute_0_17,plain,
( ~ environment(sk4)
| ~ in_environment(sk4,sk3(sk4))
| in_environment(sk4,sk2(sk4)) ),
inference(resolve,[$cnf( greater(growth_rate(efficient_producers,sk1(sk3(sk4),sk4)),growth_rate(first_movers,sk1(sk3(sk4),sk4))) )],[refute_0_16,refute_0_2]) ).
cnf(refute_0_18,plain,
( ~ in_environment(sk4,sk3(sk4))
| in_environment(sk4,sk2(sk4)) ),
inference(resolve,[$cnf( environment(sk4) )],[prove_l12_12,refute_0_17]) ).
cnf(refute_0_19,plain,
in_environment(sk4,sk2(sk4)),
inference(resolve,[$cnf( in_environment(sk4,sk3(sk4)) )],[refute_0_5,refute_0_18]) ).
cnf(refute_0_20,plain,
( greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4)))
| subpopulations(first_movers,efficient_producers,sk4,sk5(sk2(sk4))) ),
inference(resolve,[$cnf( in_environment(sk4,sk2(sk4)) )],[refute_0_19,refute_0_1]) ).
cnf(refute_0_21,plain,
( ~ environment(sk4)
| ~ greater(growth_rate(efficient_producers,sk1(sk3(sk4),sk4)),growth_rate(first_movers,sk1(sk3(sk4),sk4)))
| ~ greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4)))
| ~ in_environment(sk4,sk3(sk4)) ),
inference(subst,[],[mp_earliest_time_growth_rate_exceeds_8:[bind(A,$fot(sk4)),bind(B,$fot(sk3(sk4)))]]) ).
cnf(refute_0_22,plain,
( ~ environment(sk4)
| ~ greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4)))
| ~ in_environment(sk4,B)
| subpopulations(first_movers,efficient_producers,sk4,sk1(B,sk4)) ),
inference(subst,[],[mp_earliest_time_growth_rate_exceeds_3:[bind(A,$fot(sk4))]]) ).
cnf(refute_0_23,plain,
( ~ environment(sk4)
| ~ in_environment(sk4,B)
| subpopulations(first_movers,efficient_producers,sk4,sk1(B,sk4))
| subpopulations(first_movers,efficient_producers,sk4,sk5(sk2(sk4))) ),
inference(resolve,[$cnf( greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4))) )],[refute_0_20,refute_0_22]) ).
cnf(refute_0_24,plain,
( ~ in_environment(sk4,B)
| subpopulations(first_movers,efficient_producers,sk4,sk1(B,sk4))
| subpopulations(first_movers,efficient_producers,sk4,sk5(sk2(sk4))) ),
inference(resolve,[$cnf( environment(sk4) )],[prove_l12_12,refute_0_23]) ).
cnf(refute_0_25,plain,
( ~ in_environment(sk4,sk3(sk4))
| subpopulations(first_movers,efficient_producers,sk4,sk1(sk3(sk4),sk4))
| subpopulations(first_movers,efficient_producers,sk4,sk5(sk2(sk4))) ),
inference(subst,[],[refute_0_24:[bind(B,$fot(sk3(sk4)))]]) ).
cnf(refute_0_26,plain,
( subpopulations(first_movers,efficient_producers,sk4,sk1(sk3(sk4),sk4))
| subpopulations(first_movers,efficient_producers,sk4,sk5(sk2(sk4))) ),
inference(resolve,[$cnf( in_environment(sk4,sk3(sk4)) )],[refute_0_5,refute_0_25]) ).
cnf(refute_0_27,plain,
( ~ environment(sk4)
| ~ greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4))
| ~ stable(sk4)
| greater(growth_rate(efficient_producers,sk1(sk3(sk4),sk4)),growth_rate(first_movers,sk1(sk3(sk4),sk4)))
| subpopulations(first_movers,efficient_producers,sk4,sk5(sk2(sk4))) ),
inference(resolve,[$cnf( subpopulations(first_movers,efficient_producers,sk4,sk1(sk3(sk4),sk4)) )],[refute_0_26,refute_0_12]) ).
cnf(refute_0_28,plain,
( ~ greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4))
| ~ stable(sk4)
| greater(growth_rate(efficient_producers,sk1(sk3(sk4),sk4)),growth_rate(first_movers,sk1(sk3(sk4),sk4)))
| subpopulations(first_movers,efficient_producers,sk4,sk5(sk2(sk4))) ),
inference(resolve,[$cnf( environment(sk4) )],[prove_l12_12,refute_0_27]) ).
cnf(refute_0_29,plain,
( ~ greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4))
| greater(growth_rate(efficient_producers,sk1(sk3(sk4),sk4)),growth_rate(first_movers,sk1(sk3(sk4),sk4)))
| subpopulations(first_movers,efficient_producers,sk4,sk5(sk2(sk4))) ),
inference(resolve,[$cnf( stable(sk4) )],[prove_l12_13,refute_0_28]) ).
cnf(refute_0_30,plain,
( ~ environment(sk4)
| ~ greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4)))
| ~ in_environment(sk4,B)
| greater_or_equal(sk1(B,sk4),B) ),
inference(subst,[],[mp_earliest_time_growth_rate_exceeds_5:[bind(A,$fot(sk4))]]) ).
cnf(refute_0_31,plain,
( ~ environment(sk4)
| ~ in_environment(sk4,B)
| greater_or_equal(sk1(B,sk4),B)
| subpopulations(first_movers,efficient_producers,sk4,sk5(sk2(sk4))) ),
inference(resolve,[$cnf( greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4))) )],[refute_0_20,refute_0_30]) ).
cnf(refute_0_32,plain,
( ~ in_environment(sk4,B)
| greater_or_equal(sk1(B,sk4),B)
| subpopulations(first_movers,efficient_producers,sk4,sk5(sk2(sk4))) ),
inference(resolve,[$cnf( environment(sk4) )],[prove_l12_12,refute_0_31]) ).
cnf(refute_0_33,plain,
( ~ in_environment(sk4,sk3(sk4))
| greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4))
| subpopulations(first_movers,efficient_producers,sk4,sk5(sk2(sk4))) ),
inference(subst,[],[refute_0_32:[bind(B,$fot(sk3(sk4)))]]) ).
cnf(refute_0_34,plain,
( greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4))
| subpopulations(first_movers,efficient_producers,sk4,sk5(sk2(sk4))) ),
inference(resolve,[$cnf( in_environment(sk4,sk3(sk4)) )],[refute_0_5,refute_0_33]) ).
cnf(refute_0_35,plain,
( ~ environment(sk4)
| ~ greater(sk5(sk2(sk4)),sk2(sk4))
| ~ in_environment(sk4,X_32)
| ~ subpopulations(first_movers,efficient_producers,sk4,sk5(sk2(sk4)))
| greater(growth_rate(efficient_producers,sk5(sk2(sk4))),growth_rate(first_movers,sk5(sk2(sk4))))
| greater_or_equal(sk1(X_32,sk4),X_32) ),
inference(subst,[],[mp_earliest_time_growth_rate_exceeds_6:[bind(A,$fot(sk4)),bind(B,$fot(X_32)),bind(C,$fot(sk5(sk2(sk4))))]]) ).
cnf(refute_0_36,plain,
( ~ environment(sk4)
| ~ greater(sk5(sk2(sk4)),sk2(sk4))
| ~ in_environment(sk4,X_32)
| greater(growth_rate(efficient_producers,sk5(sk2(sk4))),growth_rate(first_movers,sk5(sk2(sk4))))
| greater_or_equal(sk1(X_32,sk4),X_32)
| greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4)) ),
inference(resolve,[$cnf( subpopulations(first_movers,efficient_producers,sk4,sk5(sk2(sk4))) )],[refute_0_34,refute_0_35]) ).
cnf(refute_0_37,plain,
( ~ greater(sk5(sk2(sk4)),sk2(sk4))
| ~ in_environment(sk4,X_32)
| greater(growth_rate(efficient_producers,sk5(sk2(sk4))),growth_rate(first_movers,sk5(sk2(sk4))))
| greater_or_equal(sk1(X_32,sk4),X_32)
| greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4)) ),
inference(resolve,[$cnf( environment(sk4) )],[prove_l12_12,refute_0_36]) ).
cnf(refute_0_38,plain,
( ~ in_environment(sk4,sk2(sk4))
| greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4)))
| greater(sk5(sk2(sk4)),sk2(sk4)) ),
inference(subst,[],[prove_l12_15:[bind(A,$fot(sk2(sk4)))]]) ).
cnf(refute_0_39,plain,
( greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4)))
| greater(sk5(sk2(sk4)),sk2(sk4)) ),
inference(resolve,[$cnf( in_environment(sk4,sk2(sk4)) )],[refute_0_19,refute_0_38]) ).
cnf(refute_0_40,plain,
( ~ environment(sk4)
| ~ in_environment(sk4,B)
| greater(sk5(sk2(sk4)),sk2(sk4))
| greater_or_equal(sk1(B,sk4),B) ),
inference(resolve,[$cnf( greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4))) )],[refute_0_39,refute_0_30]) ).
cnf(refute_0_41,plain,
( ~ in_environment(sk4,B)
| greater(sk5(sk2(sk4)),sk2(sk4))
| greater_or_equal(sk1(B,sk4),B) ),
inference(resolve,[$cnf( environment(sk4) )],[prove_l12_12,refute_0_40]) ).
cnf(refute_0_42,plain,
( ~ in_environment(sk4,sk3(sk4))
| greater(sk5(sk2(sk4)),sk2(sk4))
| greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4)) ),
inference(subst,[],[refute_0_41:[bind(B,$fot(sk3(sk4)))]]) ).
cnf(refute_0_43,plain,
( greater(sk5(sk2(sk4)),sk2(sk4))
| greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4)) ),
inference(resolve,[$cnf( in_environment(sk4,sk3(sk4)) )],[refute_0_5,refute_0_42]) ).
cnf(refute_0_44,plain,
( ~ environment(sk4)
| ~ in_environment(sk4,B)
| greater(sk5(sk2(sk4)),sk2(sk4))
| subpopulations(first_movers,efficient_producers,sk4,sk1(B,sk4)) ),
inference(resolve,[$cnf( greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4))) )],[refute_0_39,refute_0_22]) ).
cnf(refute_0_45,plain,
( ~ in_environment(sk4,B)
| greater(sk5(sk2(sk4)),sk2(sk4))
| subpopulations(first_movers,efficient_producers,sk4,sk1(B,sk4)) ),
inference(resolve,[$cnf( environment(sk4) )],[prove_l12_12,refute_0_44]) ).
cnf(refute_0_46,plain,
( ~ in_environment(sk4,sk3(sk4))
| greater(sk5(sk2(sk4)),sk2(sk4))
| subpopulations(first_movers,efficient_producers,sk4,sk1(sk3(sk4),sk4)) ),
inference(subst,[],[refute_0_45:[bind(B,$fot(sk3(sk4)))]]) ).
cnf(refute_0_47,plain,
( greater(sk5(sk2(sk4)),sk2(sk4))
| subpopulations(first_movers,efficient_producers,sk4,sk1(sk3(sk4),sk4)) ),
inference(resolve,[$cnf( in_environment(sk4,sk3(sk4)) )],[refute_0_5,refute_0_46]) ).
cnf(refute_0_48,plain,
( ~ environment(sk4)
| ~ greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4))
| ~ stable(sk4)
| greater(growth_rate(efficient_producers,sk1(sk3(sk4),sk4)),growth_rate(first_movers,sk1(sk3(sk4),sk4)))
| greater(sk5(sk2(sk4)),sk2(sk4)) ),
inference(resolve,[$cnf( subpopulations(first_movers,efficient_producers,sk4,sk1(sk3(sk4),sk4)) )],[refute_0_47,refute_0_12]) ).
cnf(refute_0_49,plain,
( ~ greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4))
| ~ stable(sk4)
| greater(growth_rate(efficient_producers,sk1(sk3(sk4),sk4)),growth_rate(first_movers,sk1(sk3(sk4),sk4)))
| greater(sk5(sk2(sk4)),sk2(sk4)) ),
inference(resolve,[$cnf( environment(sk4) )],[prove_l12_12,refute_0_48]) ).
cnf(refute_0_50,plain,
( ~ greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4))
| greater(growth_rate(efficient_producers,sk1(sk3(sk4),sk4)),growth_rate(first_movers,sk1(sk3(sk4),sk4)))
| greater(sk5(sk2(sk4)),sk2(sk4)) ),
inference(resolve,[$cnf( stable(sk4) )],[prove_l12_13,refute_0_49]) ).
cnf(refute_0_51,plain,
( greater(growth_rate(efficient_producers,sk1(sk3(sk4),sk4)),growth_rate(first_movers,sk1(sk3(sk4),sk4)))
| greater(sk5(sk2(sk4)),sk2(sk4)) ),
inference(resolve,[$cnf( greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4)) )],[refute_0_43,refute_0_50]) ).
cnf(refute_0_52,plain,
( ~ environment(sk4)
| ~ greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4)))
| ~ in_environment(sk4,sk3(sk4))
| greater(sk5(sk2(sk4)),sk2(sk4)) ),
inference(resolve,[$cnf( greater(growth_rate(efficient_producers,sk1(sk3(sk4),sk4)),growth_rate(first_movers,sk1(sk3(sk4),sk4))) )],[refute_0_51,refute_0_21]) ).
cnf(refute_0_53,plain,
( ~ greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4)))
| ~ in_environment(sk4,sk3(sk4))
| greater(sk5(sk2(sk4)),sk2(sk4)) ),
inference(resolve,[$cnf( environment(sk4) )],[prove_l12_12,refute_0_52]) ).
cnf(refute_0_54,plain,
( ~ greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4)))
| greater(sk5(sk2(sk4)),sk2(sk4)) ),
inference(resolve,[$cnf( in_environment(sk4,sk3(sk4)) )],[refute_0_5,refute_0_53]) ).
cnf(refute_0_55,plain,
greater(sk5(sk2(sk4)),sk2(sk4)),
inference(resolve,[$cnf( greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4))) )],[refute_0_39,refute_0_54]) ).
cnf(refute_0_56,plain,
( ~ in_environment(sk4,X_32)
| greater(growth_rate(efficient_producers,sk5(sk2(sk4))),growth_rate(first_movers,sk5(sk2(sk4))))
| greater_or_equal(sk1(X_32,sk4),X_32)
| greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4)) ),
inference(resolve,[$cnf( greater(sk5(sk2(sk4)),sk2(sk4)) )],[refute_0_55,refute_0_37]) ).
cnf(refute_0_57,plain,
( ~ in_environment(sk4,sk3(sk4))
| greater(growth_rate(efficient_producers,sk5(sk2(sk4))),growth_rate(first_movers,sk5(sk2(sk4))))
| greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4)) ),
inference(subst,[],[refute_0_56:[bind(X_32,$fot(sk3(sk4)))]]) ).
cnf(refute_0_58,plain,
( greater(growth_rate(efficient_producers,sk5(sk2(sk4))),growth_rate(first_movers,sk5(sk2(sk4))))
| greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4)) ),
inference(resolve,[$cnf( in_environment(sk4,sk3(sk4)) )],[refute_0_5,refute_0_57]) ).
cnf(refute_0_59,plain,
( ~ in_environment(sk4,sk2(sk4))
| greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4)))
| greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4)) ),
inference(resolve,[$cnf( greater(growth_rate(efficient_producers,sk5(sk2(sk4))),growth_rate(first_movers,sk5(sk2(sk4)))) )],[refute_0_58,refute_0_0]) ).
cnf(refute_0_60,plain,
( greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4)))
| greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4)) ),
inference(resolve,[$cnf( in_environment(sk4,sk2(sk4)) )],[refute_0_19,refute_0_59]) ).
cnf(refute_0_61,plain,
( ~ environment(sk4)
| ~ in_environment(sk4,B)
| greater_or_equal(sk1(B,sk4),B)
| greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4)) ),
inference(resolve,[$cnf( greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4))) )],[refute_0_60,refute_0_30]) ).
cnf(refute_0_62,plain,
( ~ in_environment(sk4,B)
| greater_or_equal(sk1(B,sk4),B)
| greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4)) ),
inference(resolve,[$cnf( environment(sk4) )],[prove_l12_12,refute_0_61]) ).
cnf(refute_0_63,plain,
( ~ in_environment(sk4,sk3(sk4))
| greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4)) ),
inference(subst,[],[refute_0_62:[bind(B,$fot(sk3(sk4)))]]) ).
cnf(refute_0_64,plain,
greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4)),
inference(resolve,[$cnf( in_environment(sk4,sk3(sk4)) )],[refute_0_5,refute_0_63]) ).
cnf(refute_0_65,plain,
( greater(growth_rate(efficient_producers,sk1(sk3(sk4),sk4)),growth_rate(first_movers,sk1(sk3(sk4),sk4)))
| subpopulations(first_movers,efficient_producers,sk4,sk5(sk2(sk4))) ),
inference(resolve,[$cnf( greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4)) )],[refute_0_64,refute_0_29]) ).
cnf(refute_0_66,plain,
( ~ environment(sk4)
| ~ greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4)))
| ~ in_environment(sk4,sk3(sk4))
| subpopulations(first_movers,efficient_producers,sk4,sk5(sk2(sk4))) ),
inference(resolve,[$cnf( greater(growth_rate(efficient_producers,sk1(sk3(sk4),sk4)),growth_rate(first_movers,sk1(sk3(sk4),sk4))) )],[refute_0_65,refute_0_21]) ).
cnf(refute_0_67,plain,
( ~ greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4)))
| ~ in_environment(sk4,sk3(sk4))
| subpopulations(first_movers,efficient_producers,sk4,sk5(sk2(sk4))) ),
inference(resolve,[$cnf( environment(sk4) )],[prove_l12_12,refute_0_66]) ).
cnf(refute_0_68,plain,
( ~ greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4)))
| subpopulations(first_movers,efficient_producers,sk4,sk5(sk2(sk4))) ),
inference(resolve,[$cnf( in_environment(sk4,sk3(sk4)) )],[refute_0_5,refute_0_67]) ).
cnf(refute_0_69,plain,
subpopulations(first_movers,efficient_producers,sk4,sk5(sk2(sk4))),
inference(resolve,[$cnf( greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4))) )],[refute_0_20,refute_0_68]) ).
cnf(refute_0_70,plain,
( ~ environment(sk4)
| ~ greater(sk5(sk2(sk4)),sk2(sk4))
| ~ in_environment(sk4,B)
| ~ subpopulations(first_movers,efficient_producers,sk4,sk5(sk2(sk4)))
| greater(growth_rate(efficient_producers,sk5(sk2(sk4))),growth_rate(first_movers,sk5(sk2(sk4))))
| subpopulations(first_movers,efficient_producers,sk4,sk1(B,sk4)) ),
inference(subst,[],[mp_earliest_time_growth_rate_exceeds_4:[bind(A,$fot(sk4)),bind(C,$fot(sk5(sk2(sk4))))]]) ).
cnf(refute_0_71,plain,
( ~ environment(sk4)
| ~ greater(sk5(sk2(sk4)),sk2(sk4))
| ~ in_environment(sk4,B)
| greater(growth_rate(efficient_producers,sk5(sk2(sk4))),growth_rate(first_movers,sk5(sk2(sk4))))
| subpopulations(first_movers,efficient_producers,sk4,sk1(B,sk4)) ),
inference(resolve,[$cnf( subpopulations(first_movers,efficient_producers,sk4,sk5(sk2(sk4))) )],[refute_0_69,refute_0_70]) ).
cnf(refute_0_72,plain,
( ~ greater(sk5(sk2(sk4)),sk2(sk4))
| ~ in_environment(sk4,B)
| greater(growth_rate(efficient_producers,sk5(sk2(sk4))),growth_rate(first_movers,sk5(sk2(sk4))))
| subpopulations(first_movers,efficient_producers,sk4,sk1(B,sk4)) ),
inference(resolve,[$cnf( environment(sk4) )],[prove_l12_12,refute_0_71]) ).
cnf(refute_0_73,plain,
( ~ in_environment(sk4,B)
| greater(growth_rate(efficient_producers,sk5(sk2(sk4))),growth_rate(first_movers,sk5(sk2(sk4))))
| subpopulations(first_movers,efficient_producers,sk4,sk1(B,sk4)) ),
inference(resolve,[$cnf( greater(sk5(sk2(sk4)),sk2(sk4)) )],[refute_0_55,refute_0_72]) ).
cnf(refute_0_74,plain,
( ~ in_environment(sk4,sk3(sk4))
| greater(growth_rate(efficient_producers,sk5(sk2(sk4))),growth_rate(first_movers,sk5(sk2(sk4))))
| subpopulations(first_movers,efficient_producers,sk4,sk1(sk3(sk4),sk4)) ),
inference(subst,[],[refute_0_73:[bind(B,$fot(sk3(sk4)))]]) ).
cnf(refute_0_75,plain,
( greater(growth_rate(efficient_producers,sk5(sk2(sk4))),growth_rate(first_movers,sk5(sk2(sk4))))
| subpopulations(first_movers,efficient_producers,sk4,sk1(sk3(sk4),sk4)) ),
inference(resolve,[$cnf( in_environment(sk4,sk3(sk4)) )],[refute_0_5,refute_0_74]) ).
cnf(refute_0_76,plain,
( ~ in_environment(sk4,sk2(sk4))
| greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4)))
| subpopulations(first_movers,efficient_producers,sk4,sk1(sk3(sk4),sk4)) ),
inference(resolve,[$cnf( greater(growth_rate(efficient_producers,sk5(sk2(sk4))),growth_rate(first_movers,sk5(sk2(sk4)))) )],[refute_0_75,refute_0_0]) ).
cnf(refute_0_77,plain,
( greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4)))
| subpopulations(first_movers,efficient_producers,sk4,sk1(sk3(sk4),sk4)) ),
inference(resolve,[$cnf( in_environment(sk4,sk2(sk4)) )],[refute_0_19,refute_0_76]) ).
cnf(refute_0_78,plain,
( ~ environment(sk4)
| ~ in_environment(sk4,B)
| subpopulations(first_movers,efficient_producers,sk4,sk1(B,sk4))
| subpopulations(first_movers,efficient_producers,sk4,sk1(sk3(sk4),sk4)) ),
inference(resolve,[$cnf( greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4))) )],[refute_0_77,refute_0_22]) ).
cnf(refute_0_79,plain,
( ~ in_environment(sk4,B)
| subpopulations(first_movers,efficient_producers,sk4,sk1(B,sk4))
| subpopulations(first_movers,efficient_producers,sk4,sk1(sk3(sk4),sk4)) ),
inference(resolve,[$cnf( environment(sk4) )],[prove_l12_12,refute_0_78]) ).
cnf(refute_0_80,plain,
( ~ in_environment(sk4,sk3(sk4))
| subpopulations(first_movers,efficient_producers,sk4,sk1(sk3(sk4),sk4)) ),
inference(subst,[],[refute_0_79:[bind(B,$fot(sk3(sk4)))]]) ).
cnf(refute_0_81,plain,
subpopulations(first_movers,efficient_producers,sk4,sk1(sk3(sk4),sk4)),
inference(resolve,[$cnf( in_environment(sk4,sk3(sk4)) )],[refute_0_5,refute_0_80]) ).
cnf(refute_0_82,plain,
( ~ environment(sk4)
| ~ greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4))
| ~ stable(sk4)
| greater(growth_rate(efficient_producers,sk1(sk3(sk4),sk4)),growth_rate(first_movers,sk1(sk3(sk4),sk4))) ),
inference(resolve,[$cnf( subpopulations(first_movers,efficient_producers,sk4,sk1(sk3(sk4),sk4)) )],[refute_0_81,refute_0_12]) ).
cnf(refute_0_83,plain,
( ~ greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4))
| ~ stable(sk4)
| greater(growth_rate(efficient_producers,sk1(sk3(sk4),sk4)),growth_rate(first_movers,sk1(sk3(sk4),sk4))) ),
inference(resolve,[$cnf( environment(sk4) )],[prove_l12_12,refute_0_82]) ).
cnf(refute_0_84,plain,
( ~ stable(sk4)
| greater(growth_rate(efficient_producers,sk1(sk3(sk4),sk4)),growth_rate(first_movers,sk1(sk3(sk4),sk4))) ),
inference(resolve,[$cnf( greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4)) )],[refute_0_64,refute_0_83]) ).
cnf(refute_0_85,plain,
greater(growth_rate(efficient_producers,sk1(sk3(sk4),sk4)),growth_rate(first_movers,sk1(sk3(sk4),sk4))),
inference(resolve,[$cnf( stable(sk4) )],[prove_l12_13,refute_0_84]) ).
cnf(refute_0_86,plain,
( ~ environment(sk4)
| ~ greater(X_44,sk2(sk4))
| ~ greater(growth_rate(efficient_producers,sk1(sk3(sk4),sk4)),growth_rate(first_movers,sk1(sk3(sk4),sk4)))
| ~ in_environment(sk4,sk3(sk4))
| ~ subpopulations(first_movers,efficient_producers,sk4,X_44)
| greater(growth_rate(efficient_producers,X_44),growth_rate(first_movers,X_44)) ),
inference(subst,[],[mp_earliest_time_growth_rate_exceeds_9:[bind(A,$fot(sk4)),bind(B,$fot(sk3(sk4))),bind(C,$fot(X_44))]]) ).
cnf(refute_0_87,plain,
( ~ environment(sk4)
| ~ greater(X_44,sk2(sk4))
| ~ in_environment(sk4,sk3(sk4))
| ~ subpopulations(first_movers,efficient_producers,sk4,X_44)
| greater(growth_rate(efficient_producers,X_44),growth_rate(first_movers,X_44)) ),
inference(resolve,[$cnf( greater(growth_rate(efficient_producers,sk1(sk3(sk4),sk4)),growth_rate(first_movers,sk1(sk3(sk4),sk4))) )],[refute_0_85,refute_0_86]) ).
cnf(refute_0_88,plain,
( ~ greater(X_44,sk2(sk4))
| ~ in_environment(sk4,sk3(sk4))
| ~ subpopulations(first_movers,efficient_producers,sk4,X_44)
| greater(growth_rate(efficient_producers,X_44),growth_rate(first_movers,X_44)) ),
inference(resolve,[$cnf( environment(sk4) )],[prove_l12_12,refute_0_87]) ).
cnf(refute_0_89,plain,
( ~ greater(X_44,sk2(sk4))
| ~ subpopulations(first_movers,efficient_producers,sk4,X_44)
| greater(growth_rate(efficient_producers,X_44),growth_rate(first_movers,X_44)) ),
inference(resolve,[$cnf( in_environment(sk4,sk3(sk4)) )],[refute_0_5,refute_0_88]) ).
cnf(refute_0_90,plain,
( ~ greater(sk5(sk2(sk4)),sk2(sk4))
| ~ subpopulations(first_movers,efficient_producers,sk4,sk5(sk2(sk4)))
| greater(growth_rate(efficient_producers,sk5(sk2(sk4))),growth_rate(first_movers,sk5(sk2(sk4)))) ),
inference(subst,[],[refute_0_89:[bind(X_44,$fot(sk5(sk2(sk4))))]]) ).
cnf(refute_0_91,plain,
( ~ greater(sk5(sk2(sk4)),sk2(sk4))
| greater(growth_rate(efficient_producers,sk5(sk2(sk4))),growth_rate(first_movers,sk5(sk2(sk4)))) ),
inference(resolve,[$cnf( subpopulations(first_movers,efficient_producers,sk4,sk5(sk2(sk4))) )],[refute_0_69,refute_0_90]) ).
cnf(refute_0_92,plain,
greater(growth_rate(efficient_producers,sk5(sk2(sk4))),growth_rate(first_movers,sk5(sk2(sk4)))),
inference(resolve,[$cnf( greater(sk5(sk2(sk4)),sk2(sk4)) )],[refute_0_55,refute_0_91]) ).
cnf(refute_0_93,plain,
( ~ in_environment(sk4,sk2(sk4))
| greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4))) ),
inference(resolve,[$cnf( greater(growth_rate(efficient_producers,sk5(sk2(sk4))),growth_rate(first_movers,sk5(sk2(sk4)))) )],[refute_0_92,refute_0_0]) ).
cnf(refute_0_94,plain,
greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4))),
inference(resolve,[$cnf( in_environment(sk4,sk2(sk4)) )],[refute_0_19,refute_0_93]) ).
cnf(refute_0_95,plain,
( ~ environment(sk4)
| ~ greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4)))
| ~ in_environment(sk4,sk3(sk4)) ),
inference(resolve,[$cnf( greater(growth_rate(efficient_producers,sk1(sk3(sk4),sk4)),growth_rate(first_movers,sk1(sk3(sk4),sk4))) )],[refute_0_85,refute_0_21]) ).
cnf(refute_0_96,plain,
( ~ greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4)))
| ~ in_environment(sk4,sk3(sk4)) ),
inference(resolve,[$cnf( environment(sk4) )],[prove_l12_12,refute_0_95]) ).
cnf(refute_0_97,plain,
~ greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4))),
inference(resolve,[$cnf( in_environment(sk4,sk3(sk4)) )],[refute_0_5,refute_0_96]) ).
cnf(refute_0_98,plain,
$false,
inference(resolve,[$cnf( greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4))) )],[refute_0_94,refute_0_97]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : MGT030-1 : TPTP v8.1.0. Released v2.4.0.
% 0.06/0.12 % Command : metis --show proof --show saturation %s
% 0.11/0.33 % Computer : n029.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Thu Jun 9 11:20:52 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.11/0.33 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.11/0.37 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.37
% 0.11/0.37 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.11/0.39
%------------------------------------------------------------------------------