%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : MGT021-1 : TPTP v9.3.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 8 06:15:21 AM UTC 2026
% Result : Unsatisfiable 0.13s 0.38s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 10
% Syntax : Number of clauses : 38 ( 10 unt; 6 nHn; 38 RR)
% Number of literals : 99 ( 0 equ; 64 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-4 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 15 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(mp_time_point_in_environment_27,axiom,
( ~ environment(A)
| ~ subpopulations(first_movers,efficient_producers,A,B)
| in_environment(A,B) ) ).
cnf(mp_environment_not_empty_28,axiom,
( ~ environment(A)
| ~ subpopulations(first_movers,efficient_producers,A,B)
| greater(number_of_organizations(A,B),zero) ) ).
cnf(mp_increase_not_decrease_29,axiom,
( ~ increases(A)
| ~ decreases(A) ) ).
cnf(a3_31,hypothesis,
( ~ environment(A)
| ~ in_environment(A,B)
| ~ greater(number_of_organizations(A,B),zero)
| ~ greater(equilibrium(A),B)
| decreases(resources(A,B)) ) ).
cnf(a3_32,hypothesis,
( ~ environment(A)
| ~ in_environment(A,B)
| ~ greater(number_of_organizations(A,B),zero)
| greater(equilibrium(A),B)
| constant(resources(A,B)) ) ).
cnf(l4_33,hypothesis,
( ~ environment(A)
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ decreases(resources(A,B))
| increases(difference(disbanding_rate(first_movers,B),disbanding_rate(efficient_producers,B))) ) ).
cnf(l4_34,hypothesis,
( ~ environment(A)
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ constant(resources(A,B))
| ~ decreases(difference(disbanding_rate(first_movers,B),disbanding_rate(efficient_producers,B))) ) ).
cnf(prove_l3_35,negated_conjecture,
environment(sk1) ).
cnf(prove_l3_36,negated_conjecture,
subpopulations(first_movers,efficient_producers,sk1,sk2) ).
cnf(prove_l3_37,negated_conjecture,
decreases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2))) ).
cnf(refute_0_0,plain,
( ~ decreases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)))
| ~ increases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2))) ),
inference(subst,[],[mp_increase_not_decrease_29:[bind(A,$fot(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2))))]]) ).
cnf(refute_0_1,plain,
( ~ decreases(resources(sk1,sk2))
| ~ environment(sk1)
| ~ subpopulations(first_movers,efficient_producers,sk1,sk2)
| increases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2))) ),
inference(subst,[],[l4_33:[bind(A,$fot(sk1)),bind(B,$fot(sk2))]]) ).
cnf(refute_0_2,plain,
( ~ decreases(resources(sk1,sk2))
| ~ environment(sk1)
| increases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2))) ),
inference(resolve,[$cnf( subpopulations(first_movers,efficient_producers,sk1,sk2) )],[prove_l3_36,refute_0_1]) ).
cnf(refute_0_3,plain,
( ~ decreases(resources(sk1,sk2))
| increases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2))) ),
inference(resolve,[$cnf( environment(sk1) )],[prove_l3_35,refute_0_2]) ).
cnf(refute_0_4,plain,
( ~ environment(sk1)
| ~ subpopulations(first_movers,efficient_producers,sk1,sk2)
| greater(number_of_organizations(sk1,sk2),zero) ),
inference(subst,[],[mp_environment_not_empty_28:[bind(A,$fot(sk1)),bind(B,$fot(sk2))]]) ).
cnf(refute_0_5,plain,
( ~ environment(sk1)
| greater(number_of_organizations(sk1,sk2),zero) ),
inference(resolve,[$cnf( subpopulations(first_movers,efficient_producers,sk1,sk2) )],[prove_l3_36,refute_0_4]) ).
cnf(refute_0_6,plain,
greater(number_of_organizations(sk1,sk2),zero),
inference(resolve,[$cnf( environment(sk1) )],[prove_l3_35,refute_0_5]) ).
cnf(refute_0_7,plain,
( ~ environment(sk1)
| ~ greater(number_of_organizations(sk1,sk2),zero)
| ~ in_environment(sk1,sk2)
| constant(resources(sk1,sk2))
| greater(equilibrium(sk1),sk2) ),
inference(subst,[],[a3_32:[bind(A,$fot(sk1)),bind(B,$fot(sk2))]]) ).
cnf(refute_0_8,plain,
( ~ environment(sk1)
| ~ in_environment(sk1,sk2)
| constant(resources(sk1,sk2))
| greater(equilibrium(sk1),sk2) ),
inference(resolve,[$cnf( greater(number_of_organizations(sk1,sk2),zero) )],[refute_0_6,refute_0_7]) ).
cnf(refute_0_9,plain,
( ~ in_environment(sk1,sk2)
| constant(resources(sk1,sk2))
| greater(equilibrium(sk1),sk2) ),
inference(resolve,[$cnf( environment(sk1) )],[prove_l3_35,refute_0_8]) ).
cnf(refute_0_10,plain,
( ~ environment(sk1)
| ~ subpopulations(first_movers,efficient_producers,sk1,sk2)
| in_environment(sk1,sk2) ),
inference(subst,[],[mp_time_point_in_environment_27:[bind(A,$fot(sk1)),bind(B,$fot(sk2))]]) ).
cnf(refute_0_11,plain,
( ~ environment(sk1)
| in_environment(sk1,sk2) ),
inference(resolve,[$cnf( subpopulations(first_movers,efficient_producers,sk1,sk2) )],[prove_l3_36,refute_0_10]) ).
cnf(refute_0_12,plain,
in_environment(sk1,sk2),
inference(resolve,[$cnf( environment(sk1) )],[prove_l3_35,refute_0_11]) ).
cnf(refute_0_13,plain,
( constant(resources(sk1,sk2))
| greater(equilibrium(sk1),sk2) ),
inference(resolve,[$cnf( in_environment(sk1,sk2) )],[refute_0_12,refute_0_9]) ).
cnf(refute_0_14,plain,
( ~ environment(sk1)
| ~ greater(equilibrium(sk1),sk2)
| ~ greater(number_of_organizations(sk1,sk2),zero)
| ~ in_environment(sk1,sk2)
| decreases(resources(sk1,sk2)) ),
inference(subst,[],[a3_31:[bind(A,$fot(sk1)),bind(B,$fot(sk2))]]) ).
cnf(refute_0_15,plain,
( ~ environment(sk1)
| ~ greater(equilibrium(sk1),sk2)
| ~ in_environment(sk1,sk2)
| decreases(resources(sk1,sk2)) ),
inference(resolve,[$cnf( greater(number_of_organizations(sk1,sk2),zero) )],[refute_0_6,refute_0_14]) ).
cnf(refute_0_16,plain,
( ~ greater(equilibrium(sk1),sk2)
| ~ in_environment(sk1,sk2)
| decreases(resources(sk1,sk2)) ),
inference(resolve,[$cnf( environment(sk1) )],[prove_l3_35,refute_0_15]) ).
cnf(refute_0_17,plain,
( ~ greater(equilibrium(sk1),sk2)
| decreases(resources(sk1,sk2)) ),
inference(resolve,[$cnf( in_environment(sk1,sk2) )],[refute_0_12,refute_0_16]) ).
cnf(refute_0_18,plain,
( constant(resources(sk1,sk2))
| decreases(resources(sk1,sk2)) ),
inference(resolve,[$cnf( greater(equilibrium(sk1),sk2) )],[refute_0_13,refute_0_17]) ).
cnf(refute_0_19,plain,
( ~ constant(resources(X_11,sk2))
| ~ decreases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)))
| ~ environment(X_11)
| ~ subpopulations(first_movers,efficient_producers,X_11,sk2) ),
inference(subst,[],[l4_34:[bind(A,$fot(X_11)),bind(B,$fot(sk2))]]) ).
cnf(refute_0_20,plain,
( ~ constant(resources(X_11,sk2))
| ~ environment(X_11)
| ~ subpopulations(first_movers,efficient_producers,X_11,sk2) ),
inference(resolve,[$cnf( decreases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2))) )],[prove_l3_37,refute_0_19]) ).
cnf(refute_0_21,plain,
( ~ constant(resources(sk1,sk2))
| ~ environment(sk1)
| ~ subpopulations(first_movers,efficient_producers,sk1,sk2) ),
inference(subst,[],[refute_0_20:[bind(X_11,$fot(sk1))]]) ).
cnf(refute_0_22,plain,
( ~ constant(resources(sk1,sk2))
| ~ environment(sk1) ),
inference(resolve,[$cnf( subpopulations(first_movers,efficient_producers,sk1,sk2) )],[prove_l3_36,refute_0_21]) ).
cnf(refute_0_23,plain,
~ constant(resources(sk1,sk2)),
inference(resolve,[$cnf( environment(sk1) )],[prove_l3_35,refute_0_22]) ).
cnf(refute_0_24,plain,
decreases(resources(sk1,sk2)),
inference(resolve,[$cnf( constant(resources(sk1,sk2)) )],[refute_0_18,refute_0_23]) ).
cnf(refute_0_25,plain,
increases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2))),
inference(resolve,[$cnf( decreases(resources(sk1,sk2)) )],[refute_0_24,refute_0_3]) ).
cnf(refute_0_26,plain,
~ decreases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2))),
inference(resolve,[$cnf( increases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2))) )],[refute_0_25,refute_0_0]) ).
cnf(refute_0_27,plain,
$false,
inference(resolve,[$cnf( decreases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2))) )],[prove_l3_37,refute_0_26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT021-1 : TPTP v9.3.0. Released v2.4.0.
% 0.00/0.04 % Command : metis --show proof --show saturation %s
% 0.09/0.37 % Computer : n018.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Mon Sep 7 12:05:07 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.38 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.13/0.38 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.38
% 0.13/0.38 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.13/0.39
%------------------------------------------------------------------------------