TSTP Solution File: MGT020-1 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : MGT020-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n019.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 22:18:53 EDT 2022
% Result : Unsatisfiable 0.14s 0.38s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 20
% Syntax : Number of clauses : 70 ( 16 unt; 17 nHn; 69 RR)
% Number of literals : 181 ( 40 equ; 97 neg)
% Maximal clause size : 7 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 9 ( 6 usr; 1 prp; 0-4 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 38 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(l3_22,axiom,
( ~ environment(A)
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ decreases(difference(disbanding_rate(first_movers,B),disbanding_rate(efficient_producers,B))) ) ).
cnf(mp_earliest_time_point_23,axiom,
( ~ environment(A)
| ~ in_environment(A,initial_FM_EP(A))
| subpopulations(first_movers,efficient_producers,A,initial_FM_EP(A)) ) ).
cnf(mp_earliest_time_point_24,axiom,
( ~ environment(A)
| ~ subpopulations(first_movers,efficient_producers,A,B)
| greater_or_equal(B,initial_FM_EP(A)) ) ).
cnf(mp_positive_function_difference_25,axiom,
( ~ environment(A)
| ~ greater_or_equal(B,C)
| ~ greater_or_equal(D,B)
| ~ subpopulations(first_movers,efficient_producers,A,D)
| ~ greater(disbanding_rate(first_movers,C),disbanding_rate(efficient_producers,C))
| decreases(difference(disbanding_rate(first_movers,B),disbanding_rate(efficient_producers,B)))
| greater(disbanding_rate(first_movers,D),disbanding_rate(efficient_producers,D)) ) ).
cnf(mp_time_point_occurs_26,axiom,
( ~ environment(A)
| ~ subpopulations(first_movers,efficient_producers,A,B)
| in_environment(A,B) ) ).
cnf(mp_initial_time_27,axiom,
( ~ environment(A)
| greater_or_equal(initial_FM_EP(A),start_time(A)) ) ).
cnf(mp_times_in_order_28,axiom,
( ~ environment(A)
| ~ greater_or_equal(B,start_time(A))
| ~ greater(C,B)
| ~ in_environment(A,C)
| in_environment(A,B) ) ).
cnf(mp_greater_or_equal_30,axiom,
( ~ greater_or_equal(A,B)
| greater(A,B)
| A = B ) ).
cnf(a8_31,hypothesis,
( ~ environment(A)
| greater(disbanding_rate(first_movers,initial_FM_EP(A)),disbanding_rate(efficient_producers,initial_FM_EP(A))) ) ).
cnf(prove_l2_33,negated_conjecture,
environment(sk1) ).
cnf(prove_l2_34,negated_conjecture,
subpopulations(first_movers,efficient_producers,sk1,sk2) ).
cnf(prove_l2_35,negated_conjecture,
~ greater(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)) ).
cnf(refute_0_0,plain,
( ~ environment(sk1)
| greater(disbanding_rate(first_movers,initial_FM_EP(sk1)),disbanding_rate(efficient_producers,initial_FM_EP(sk1))) ),
inference(subst,[],[a8_31:[bind(A,$fot(sk1))]]) ).
cnf(refute_0_1,plain,
greater(disbanding_rate(first_movers,initial_FM_EP(sk1)),disbanding_rate(efficient_producers,initial_FM_EP(sk1))),
inference(resolve,[$cnf( environment(sk1) )],[prove_l2_33,refute_0_0]) ).
cnf(refute_0_2,plain,
( ~ environment(sk1)
| ~ in_environment(sk1,initial_FM_EP(sk1))
| subpopulations(first_movers,efficient_producers,sk1,initial_FM_EP(sk1)) ),
inference(subst,[],[mp_earliest_time_point_23:[bind(A,$fot(sk1))]]) ).
cnf(refute_0_3,plain,
( ~ greater_or_equal(sk2,initial_FM_EP(sk1))
| sk2 = initial_FM_EP(sk1)
| greater(sk2,initial_FM_EP(sk1)) ),
inference(subst,[],[mp_greater_or_equal_30:[bind(A,$fot(sk2)),bind(B,$fot(initial_FM_EP(sk1)))]]) ).
cnf(refute_0_4,plain,
( ~ environment(sk1)
| ~ subpopulations(first_movers,efficient_producers,sk1,sk2)
| greater_or_equal(sk2,initial_FM_EP(sk1)) ),
inference(subst,[],[mp_earliest_time_point_24:[bind(A,$fot(sk1)),bind(B,$fot(sk2))]]) ).
cnf(refute_0_5,plain,
( ~ environment(sk1)
| greater_or_equal(sk2,initial_FM_EP(sk1)) ),
inference(resolve,[$cnf( subpopulations(first_movers,efficient_producers,sk1,sk2) )],[prove_l2_34,refute_0_4]) ).
cnf(refute_0_6,plain,
greater_or_equal(sk2,initial_FM_EP(sk1)),
inference(resolve,[$cnf( environment(sk1) )],[prove_l2_33,refute_0_5]) ).
cnf(refute_0_7,plain,
( sk2 = initial_FM_EP(sk1)
| greater(sk2,initial_FM_EP(sk1)) ),
inference(resolve,[$cnf( greater_or_equal(sk2,initial_FM_EP(sk1)) )],[refute_0_6,refute_0_3]) ).
cnf(refute_0_8,plain,
( ~ environment(sk1)
| greater_or_equal(initial_FM_EP(sk1),start_time(sk1)) ),
inference(subst,[],[mp_initial_time_27:[bind(A,$fot(sk1))]]) ).
cnf(refute_0_9,plain,
greater_or_equal(initial_FM_EP(sk1),start_time(sk1)),
inference(resolve,[$cnf( environment(sk1) )],[prove_l2_33,refute_0_8]) ).
cnf(refute_0_10,plain,
( ~ environment(sk1)
| ~ greater(X_26,initial_FM_EP(sk1))
| ~ greater_or_equal(initial_FM_EP(sk1),start_time(sk1))
| ~ in_environment(sk1,X_26)
| in_environment(sk1,initial_FM_EP(sk1)) ),
inference(subst,[],[mp_times_in_order_28:[bind(A,$fot(sk1)),bind(B,$fot(initial_FM_EP(sk1))),bind(C,$fot(X_26))]]) ).
cnf(refute_0_11,plain,
( ~ environment(sk1)
| ~ greater(X_26,initial_FM_EP(sk1))
| ~ in_environment(sk1,X_26)
| in_environment(sk1,initial_FM_EP(sk1)) ),
inference(resolve,[$cnf( greater_or_equal(initial_FM_EP(sk1),start_time(sk1)) )],[refute_0_9,refute_0_10]) ).
cnf(refute_0_12,plain,
( ~ greater(X_26,initial_FM_EP(sk1))
| ~ in_environment(sk1,X_26)
| in_environment(sk1,initial_FM_EP(sk1)) ),
inference(resolve,[$cnf( environment(sk1) )],[prove_l2_33,refute_0_11]) ).
cnf(refute_0_13,plain,
( ~ greater(sk2,initial_FM_EP(sk1))
| ~ in_environment(sk1,sk2)
| in_environment(sk1,initial_FM_EP(sk1)) ),
inference(subst,[],[refute_0_12:[bind(X_26,$fot(sk2))]]) ).
cnf(refute_0_14,plain,
( ~ in_environment(sk1,sk2)
| sk2 = initial_FM_EP(sk1)
| in_environment(sk1,initial_FM_EP(sk1)) ),
inference(resolve,[$cnf( greater(sk2,initial_FM_EP(sk1)) )],[refute_0_7,refute_0_13]) ).
cnf(refute_0_15,plain,
( ~ environment(sk1)
| ~ subpopulations(first_movers,efficient_producers,sk1,sk2)
| in_environment(sk1,sk2) ),
inference(subst,[],[mp_time_point_occurs_26:[bind(A,$fot(sk1)),bind(B,$fot(sk2))]]) ).
cnf(refute_0_16,plain,
( ~ environment(sk1)
| in_environment(sk1,sk2) ),
inference(resolve,[$cnf( subpopulations(first_movers,efficient_producers,sk1,sk2) )],[prove_l2_34,refute_0_15]) ).
cnf(refute_0_17,plain,
in_environment(sk1,sk2),
inference(resolve,[$cnf( environment(sk1) )],[prove_l2_33,refute_0_16]) ).
cnf(refute_0_18,plain,
( sk2 = initial_FM_EP(sk1)
| in_environment(sk1,initial_FM_EP(sk1)) ),
inference(resolve,[$cnf( in_environment(sk1,sk2) )],[refute_0_17,refute_0_14]) ).
cnf(refute_0_19,plain,
( ~ environment(sk1)
| sk2 = initial_FM_EP(sk1)
| subpopulations(first_movers,efficient_producers,sk1,initial_FM_EP(sk1)) ),
inference(resolve,[$cnf( in_environment(sk1,initial_FM_EP(sk1)) )],[refute_0_18,refute_0_2]) ).
cnf(refute_0_20,plain,
( sk2 = initial_FM_EP(sk1)
| subpopulations(first_movers,efficient_producers,sk1,initial_FM_EP(sk1)) ),
inference(resolve,[$cnf( environment(sk1) )],[prove_l2_33,refute_0_19]) ).
cnf(refute_0_21,plain,
( ~ decreases(difference(disbanding_rate(first_movers,initial_FM_EP(sk1)),disbanding_rate(efficient_producers,initial_FM_EP(sk1))))
| ~ environment(A)
| ~ subpopulations(first_movers,efficient_producers,A,initial_FM_EP(sk1)) ),
inference(subst,[],[l3_22:[bind(B,$fot(initial_FM_EP(sk1)))]]) ).
cnf(refute_0_22,plain,
( ~ environment(sk1)
| ~ subpopulations(first_movers,efficient_producers,sk1,initial_FM_EP(sk1))
| greater_or_equal(initial_FM_EP(sk1),initial_FM_EP(sk1)) ),
inference(subst,[],[mp_earliest_time_point_24:[bind(A,$fot(sk1)),bind(B,$fot(initial_FM_EP(sk1)))]]) ).
cnf(refute_0_23,plain,
( ~ environment(sk1)
| sk2 = initial_FM_EP(sk1)
| greater_or_equal(initial_FM_EP(sk1),initial_FM_EP(sk1)) ),
inference(resolve,[$cnf( subpopulations(first_movers,efficient_producers,sk1,initial_FM_EP(sk1)) )],[refute_0_20,refute_0_22]) ).
cnf(refute_0_24,plain,
( sk2 = initial_FM_EP(sk1)
| greater_or_equal(initial_FM_EP(sk1),initial_FM_EP(sk1)) ),
inference(resolve,[$cnf( environment(sk1) )],[prove_l2_33,refute_0_23]) ).
cnf(refute_0_25,plain,
( ~ environment(X_45)
| ~ greater(disbanding_rate(first_movers,initial_FM_EP(sk1)),disbanding_rate(efficient_producers,initial_FM_EP(sk1)))
| ~ greater_or_equal(X_46,initial_FM_EP(sk1))
| ~ greater_or_equal(X_48,X_46)
| ~ subpopulations(first_movers,efficient_producers,X_45,X_48)
| decreases(difference(disbanding_rate(first_movers,X_46),disbanding_rate(efficient_producers,X_46)))
| greater(disbanding_rate(first_movers,X_48),disbanding_rate(efficient_producers,X_48)) ),
inference(subst,[],[mp_positive_function_difference_25:[bind(A,$fot(X_45)),bind(B,$fot(X_46)),bind(C,$fot(initial_FM_EP(sk1))),bind(D,$fot(X_48))]]) ).
cnf(refute_0_26,plain,
( ~ environment(X_45)
| ~ greater_or_equal(X_46,initial_FM_EP(sk1))
| ~ greater_or_equal(X_48,X_46)
| ~ subpopulations(first_movers,efficient_producers,X_45,X_48)
| decreases(difference(disbanding_rate(first_movers,X_46),disbanding_rate(efficient_producers,X_46)))
| greater(disbanding_rate(first_movers,X_48),disbanding_rate(efficient_producers,X_48)) ),
inference(resolve,[$cnf( greater(disbanding_rate(first_movers,initial_FM_EP(sk1)),disbanding_rate(efficient_producers,initial_FM_EP(sk1))) )],[refute_0_1,refute_0_25]) ).
cnf(refute_0_27,plain,
( ~ environment(sk1)
| ~ greater_or_equal(X_50,initial_FM_EP(sk1))
| ~ greater_or_equal(sk2,X_50)
| ~ subpopulations(first_movers,efficient_producers,sk1,sk2)
| decreases(difference(disbanding_rate(first_movers,X_50),disbanding_rate(efficient_producers,X_50)))
| greater(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)) ),
inference(subst,[],[refute_0_26:[bind(X_45,$fot(sk1)),bind(X_46,$fot(X_50)),bind(X_48,$fot(sk2))]]) ).
cnf(refute_0_28,plain,
( ~ environment(sk1)
| ~ greater_or_equal(X_50,initial_FM_EP(sk1))
| ~ greater_or_equal(sk2,X_50)
| decreases(difference(disbanding_rate(first_movers,X_50),disbanding_rate(efficient_producers,X_50)))
| greater(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)) ),
inference(resolve,[$cnf( subpopulations(first_movers,efficient_producers,sk1,sk2) )],[prove_l2_34,refute_0_27]) ).
cnf(refute_0_29,plain,
( ~ greater_or_equal(X_50,initial_FM_EP(sk1))
| ~ greater_or_equal(sk2,X_50)
| decreases(difference(disbanding_rate(first_movers,X_50),disbanding_rate(efficient_producers,X_50)))
| greater(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)) ),
inference(resolve,[$cnf( environment(sk1) )],[prove_l2_33,refute_0_28]) ).
cnf(refute_0_30,plain,
( ~ greater_or_equal(X_50,initial_FM_EP(sk1))
| ~ greater_or_equal(sk2,X_50)
| decreases(difference(disbanding_rate(first_movers,X_50),disbanding_rate(efficient_producers,X_50))) ),
inference(resolve,[$cnf( greater(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)) )],[refute_0_29,prove_l2_35]) ).
cnf(refute_0_31,plain,
( ~ greater_or_equal(initial_FM_EP(sk1),initial_FM_EP(sk1))
| ~ greater_or_equal(sk2,initial_FM_EP(sk1))
| decreases(difference(disbanding_rate(first_movers,initial_FM_EP(sk1)),disbanding_rate(efficient_producers,initial_FM_EP(sk1)))) ),
inference(subst,[],[refute_0_30:[bind(X_50,$fot(initial_FM_EP(sk1)))]]) ).
cnf(refute_0_32,plain,
( ~ greater_or_equal(sk2,initial_FM_EP(sk1))
| sk2 = initial_FM_EP(sk1)
| decreases(difference(disbanding_rate(first_movers,initial_FM_EP(sk1)),disbanding_rate(efficient_producers,initial_FM_EP(sk1)))) ),
inference(resolve,[$cnf( greater_or_equal(initial_FM_EP(sk1),initial_FM_EP(sk1)) )],[refute_0_24,refute_0_31]) ).
cnf(refute_0_33,plain,
( sk2 = initial_FM_EP(sk1)
| decreases(difference(disbanding_rate(first_movers,initial_FM_EP(sk1)),disbanding_rate(efficient_producers,initial_FM_EP(sk1)))) ),
inference(resolve,[$cnf( greater_or_equal(sk2,initial_FM_EP(sk1)) )],[refute_0_6,refute_0_32]) ).
cnf(refute_0_34,plain,
( ~ environment(A)
| ~ subpopulations(first_movers,efficient_producers,A,initial_FM_EP(sk1))
| sk2 = initial_FM_EP(sk1) ),
inference(resolve,[$cnf( decreases(difference(disbanding_rate(first_movers,initial_FM_EP(sk1)),disbanding_rate(efficient_producers,initial_FM_EP(sk1)))) )],[refute_0_33,refute_0_21]) ).
cnf(refute_0_35,plain,
( ~ environment(sk1)
| ~ subpopulations(first_movers,efficient_producers,sk1,initial_FM_EP(sk1))
| sk2 = initial_FM_EP(sk1) ),
inference(subst,[],[refute_0_34:[bind(A,$fot(sk1))]]) ).
cnf(refute_0_36,plain,
( ~ environment(sk1)
| sk2 = initial_FM_EP(sk1) ),
inference(resolve,[$cnf( subpopulations(first_movers,efficient_producers,sk1,initial_FM_EP(sk1)) )],[refute_0_20,refute_0_35]) ).
cnf(refute_0_37,plain,
sk2 = initial_FM_EP(sk1),
inference(resolve,[$cnf( environment(sk1) )],[prove_l2_33,refute_0_36]) ).
cnf(refute_0_38,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_39,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_40,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_38,refute_0_39]) ).
cnf(refute_0_41,plain,
( sk2 != initial_FM_EP(sk1)
| initial_FM_EP(sk1) = sk2 ),
inference(subst,[],[refute_0_40:[bind(X,$fot(sk2)),bind(Y,$fot(initial_FM_EP(sk1)))]]) ).
cnf(refute_0_42,plain,
initial_FM_EP(sk1) = sk2,
inference(resolve,[$cnf( $equal(sk2,initial_FM_EP(sk1)) )],[refute_0_37,refute_0_41]) ).
cnf(refute_0_43,plain,
disbanding_rate(first_movers,initial_FM_EP(sk1)) = disbanding_rate(first_movers,initial_FM_EP(sk1)),
introduced(tautology,[refl,[$fot(disbanding_rate(first_movers,initial_FM_EP(sk1)))]]) ).
cnf(refute_0_44,plain,
( disbanding_rate(first_movers,initial_FM_EP(sk1)) != disbanding_rate(first_movers,initial_FM_EP(sk1))
| initial_FM_EP(sk1) != sk2
| disbanding_rate(first_movers,initial_FM_EP(sk1)) = disbanding_rate(first_movers,sk2) ),
introduced(tautology,[equality,[$cnf( $equal(disbanding_rate(first_movers,initial_FM_EP(sk1)),disbanding_rate(first_movers,initial_FM_EP(sk1))) ),[1,1],$fot(sk2)]]) ).
cnf(refute_0_45,plain,
( initial_FM_EP(sk1) != sk2
| disbanding_rate(first_movers,initial_FM_EP(sk1)) = disbanding_rate(first_movers,sk2) ),
inference(resolve,[$cnf( $equal(disbanding_rate(first_movers,initial_FM_EP(sk1)),disbanding_rate(first_movers,initial_FM_EP(sk1))) )],[refute_0_43,refute_0_44]) ).
cnf(refute_0_46,plain,
disbanding_rate(first_movers,initial_FM_EP(sk1)) = disbanding_rate(first_movers,sk2),
inference(resolve,[$cnf( $equal(initial_FM_EP(sk1),sk2) )],[refute_0_42,refute_0_45]) ).
cnf(refute_0_47,plain,
( disbanding_rate(first_movers,initial_FM_EP(sk1)) != disbanding_rate(first_movers,sk2)
| ~ greater(disbanding_rate(first_movers,initial_FM_EP(sk1)),disbanding_rate(efficient_producers,initial_FM_EP(sk1)))
| greater(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,initial_FM_EP(sk1))) ),
introduced(tautology,[equality,[$cnf( greater(disbanding_rate(first_movers,initial_FM_EP(sk1)),disbanding_rate(efficient_producers,initial_FM_EP(sk1))) ),[0],$fot(disbanding_rate(first_movers,sk2))]]) ).
cnf(refute_0_48,plain,
( ~ greater(disbanding_rate(first_movers,initial_FM_EP(sk1)),disbanding_rate(efficient_producers,initial_FM_EP(sk1)))
| greater(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,initial_FM_EP(sk1))) ),
inference(resolve,[$cnf( $equal(disbanding_rate(first_movers,initial_FM_EP(sk1)),disbanding_rate(first_movers,sk2)) )],[refute_0_46,refute_0_47]) ).
cnf(refute_0_49,plain,
disbanding_rate(efficient_producers,initial_FM_EP(sk1)) = disbanding_rate(efficient_producers,initial_FM_EP(sk1)),
introduced(tautology,[refl,[$fot(disbanding_rate(efficient_producers,initial_FM_EP(sk1)))]]) ).
cnf(refute_0_50,plain,
( disbanding_rate(efficient_producers,initial_FM_EP(sk1)) != disbanding_rate(efficient_producers,initial_FM_EP(sk1))
| initial_FM_EP(sk1) != sk2
| disbanding_rate(efficient_producers,initial_FM_EP(sk1)) = disbanding_rate(efficient_producers,sk2) ),
introduced(tautology,[equality,[$cnf( $equal(disbanding_rate(efficient_producers,initial_FM_EP(sk1)),disbanding_rate(efficient_producers,initial_FM_EP(sk1))) ),[1,1],$fot(sk2)]]) ).
cnf(refute_0_51,plain,
( initial_FM_EP(sk1) != sk2
| disbanding_rate(efficient_producers,initial_FM_EP(sk1)) = disbanding_rate(efficient_producers,sk2) ),
inference(resolve,[$cnf( $equal(disbanding_rate(efficient_producers,initial_FM_EP(sk1)),disbanding_rate(efficient_producers,initial_FM_EP(sk1))) )],[refute_0_49,refute_0_50]) ).
cnf(refute_0_52,plain,
disbanding_rate(efficient_producers,initial_FM_EP(sk1)) = disbanding_rate(efficient_producers,sk2),
inference(resolve,[$cnf( $equal(initial_FM_EP(sk1),sk2) )],[refute_0_42,refute_0_51]) ).
cnf(refute_0_53,plain,
( disbanding_rate(efficient_producers,initial_FM_EP(sk1)) != disbanding_rate(efficient_producers,sk2)
| ~ greater(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,initial_FM_EP(sk1)))
| greater(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)) ),
introduced(tautology,[equality,[$cnf( greater(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,initial_FM_EP(sk1))) ),[1],$fot(disbanding_rate(efficient_producers,sk2))]]) ).
cnf(refute_0_54,plain,
( ~ greater(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,initial_FM_EP(sk1)))
| greater(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)) ),
inference(resolve,[$cnf( $equal(disbanding_rate(efficient_producers,initial_FM_EP(sk1)),disbanding_rate(efficient_producers,sk2)) )],[refute_0_52,refute_0_53]) ).
cnf(refute_0_55,plain,
( ~ greater(disbanding_rate(first_movers,initial_FM_EP(sk1)),disbanding_rate(efficient_producers,initial_FM_EP(sk1)))
| greater(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)) ),
inference(resolve,[$cnf( greater(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,initial_FM_EP(sk1))) )],[refute_0_48,refute_0_54]) ).
cnf(refute_0_56,plain,
greater(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)),
inference(resolve,[$cnf( greater(disbanding_rate(first_movers,initial_FM_EP(sk1)),disbanding_rate(efficient_producers,initial_FM_EP(sk1))) )],[refute_0_1,refute_0_55]) ).
cnf(refute_0_57,plain,
$false,
inference(resolve,[$cnf( greater(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)) )],[refute_0_56,prove_l2_35]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : MGT020-1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.14 % Command : metis --show proof --show saturation %s
% 0.14/0.35 % Computer : n019.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.36 % DateTime : Thu Jun 9 12:15:25 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.14/0.36 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.14/0.38 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.38
% 0.14/0.38 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.14/0.39
%------------------------------------------------------------------------------