%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : MGT022-2 : TPTP v9.3.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n027.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 0.09s 0.37s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 9
% Syntax : Number of clauses : 26 ( 8 unt; 3 nHn; 26 RR)
% Number of literals : 62 ( 0 equ; 37 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-4 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 9 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(mp_constant_not_decrease_1,axiom,
( ~ constant(A)
| ~ decreases(A) ) ).
cnf(a6_2,hypothesis,
( ~ environment(A)
| ~ subpopulations(B,C,A,D)
| ~ greater(resilience(C),resilience(B))
| ~ decreases(resources(A,D))
| increases(difference(disbanding_rate(B,D),disbanding_rate(C,D))) ) ).
cnf(a6_3,hypothesis,
( ~ environment(A)
| ~ subpopulations(B,C,A,D)
| ~ greater(resilience(C),resilience(B))
| ~ constant(resources(A,D))
| constant(difference(disbanding_rate(B,D),disbanding_rate(C,D))) ) ).
cnf(a2_4,hypothesis,
greater(resilience(efficient_producers),resilience(first_movers)) ).
cnf(prove_l4_5,negated_conjecture,
environment(sk1) ).
cnf(prove_l4_6,negated_conjecture,
subpopulations(first_movers,efficient_producers,sk1,sk2) ).
cnf(prove_l4_7,negated_conjecture,
( decreases(resources(sk1,sk2))
| constant(resources(sk1,sk2)) ) ).
cnf(prove_l4_8,negated_conjecture,
( decreases(resources(sk1,sk2))
| decreases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2))) ) ).
cnf(prove_l4_9,negated_conjecture,
( ~ increases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)))
| constant(resources(sk1,sk2)) ) ).
cnf(refute_0_0,plain,
( ~ constant(resources(sk1,sk2))
| ~ decreases(resources(sk1,sk2)) ),
inference(subst,[],[mp_constant_not_decrease_1:[bind(A,$fot(resources(sk1,sk2)))]]) ).
cnf(refute_0_1,plain,
( ~ constant(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)))
| ~ decreases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2))) ),
inference(subst,[],[mp_constant_not_decrease_1:[bind(A,$fot(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2))))]]) ).
cnf(refute_0_2,plain,
( ~ constant(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)))
| decreases(resources(sk1,sk2)) ),
inference(resolve,[$cnf( decreases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2))) )],[prove_l4_8,refute_0_1]) ).
cnf(refute_0_3,plain,
( ~ constant(resources(sk1,sk2))
| ~ environment(sk1)
| ~ greater(resilience(efficient_producers),resilience(first_movers))
| ~ subpopulations(first_movers,efficient_producers,sk1,sk2)
| constant(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2))) ),
inference(subst,[],[a6_3:[bind(A,$fot(sk1)),bind(B,$fot(first_movers)),bind(C,$fot(efficient_producers)),bind(D,$fot(sk2))]]) ).
cnf(refute_0_4,plain,
( ~ constant(resources(sk1,sk2))
| ~ environment(sk1)
| ~ greater(resilience(efficient_producers),resilience(first_movers))
| constant(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2))) ),
inference(resolve,[$cnf( subpopulations(first_movers,efficient_producers,sk1,sk2) )],[prove_l4_6,refute_0_3]) ).
cnf(refute_0_5,plain,
( ~ decreases(resources(sk1,sk2))
| ~ environment(sk1)
| ~ greater(resilience(efficient_producers),resilience(first_movers))
| ~ subpopulations(first_movers,efficient_producers,sk1,sk2)
| increases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2))) ),
inference(subst,[],[a6_2:[bind(A,$fot(sk1)),bind(B,$fot(first_movers)),bind(C,$fot(efficient_producers)),bind(D,$fot(sk2))]]) ).
cnf(refute_0_6,plain,
( ~ decreases(resources(sk1,sk2))
| ~ environment(sk1)
| ~ greater(resilience(efficient_producers),resilience(first_movers))
| increases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2))) ),
inference(resolve,[$cnf( subpopulations(first_movers,efficient_producers,sk1,sk2) )],[prove_l4_6,refute_0_5]) ).
cnf(refute_0_7,plain,
( ~ decreases(resources(sk1,sk2))
| ~ greater(resilience(efficient_producers),resilience(first_movers))
| increases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2))) ),
inference(resolve,[$cnf( environment(sk1) )],[prove_l4_5,refute_0_6]) ).
cnf(refute_0_8,plain,
( ~ decreases(resources(sk1,sk2))
| increases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2))) ),
inference(resolve,[$cnf( greater(resilience(efficient_producers),resilience(first_movers)) )],[a2_4,refute_0_7]) ).
cnf(refute_0_9,plain,
( constant(resources(sk1,sk2))
| increases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2))) ),
inference(resolve,[$cnf( decreases(resources(sk1,sk2)) )],[prove_l4_7,refute_0_8]) ).
cnf(refute_0_10,plain,
constant(resources(sk1,sk2)),
inference(resolve,[$cnf( increases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2))) )],[refute_0_9,prove_l4_9]) ).
cnf(refute_0_11,plain,
( ~ environment(sk1)
| ~ greater(resilience(efficient_producers),resilience(first_movers))
| constant(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2))) ),
inference(resolve,[$cnf( constant(resources(sk1,sk2)) )],[refute_0_10,refute_0_4]) ).
cnf(refute_0_12,plain,
( ~ greater(resilience(efficient_producers),resilience(first_movers))
| constant(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2))) ),
inference(resolve,[$cnf( environment(sk1) )],[prove_l4_5,refute_0_11]) ).
cnf(refute_0_13,plain,
constant(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2))),
inference(resolve,[$cnf( greater(resilience(efficient_producers),resilience(first_movers)) )],[a2_4,refute_0_12]) ).
cnf(refute_0_14,plain,
decreases(resources(sk1,sk2)),
inference(resolve,[$cnf( constant(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2))) )],[refute_0_13,refute_0_2]) ).
cnf(refute_0_15,plain,
~ constant(resources(sk1,sk2)),
inference(resolve,[$cnf( decreases(resources(sk1,sk2)) )],[refute_0_14,refute_0_0]) ).
cnf(refute_0_16,plain,
$false,
inference(resolve,[$cnf( constant(resources(sk1,sk2)) )],[refute_0_10,refute_0_15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT022-2 : TPTP v9.3.0. Released v2.4.0.
% 0.00/0.04 % Command : metis --show proof --show saturation %s
% 0.09/0.35 % Computer : n027.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 7 12:08:45 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.09/0.37 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.37
% 0.09/0.37 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.09/0.37
%------------------------------------------------------------------------------