TSTP Solution File: MGT032-2 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : MGT032-2 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n021.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 22:19:20 EDT 2022
% Result : Unsatisfiable 0.13s 0.36s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 8
% Syntax : Number of clauses : 28 ( 9 unt; 0 nHn; 28 RR)
% Number of literals : 64 ( 0 equ; 39 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-4 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 12 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(mp1_high_growth_rates_1,axiom,
( ~ environment(A)
| ~ subpopulations(B,C,A,D)
| ~ greater(growth_rate(C,D),growth_rate(B,D))
| selection_favors(C,B,D) ) ).
cnf(l1_2,hypothesis,
( ~ environment(A)
| ~ stable(A)
| in_environment(A,sk1(A)) ) ).
cnf(l1_3,hypothesis,
( ~ environment(A)
| ~ stable(A)
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ greater_or_equal(B,sk1(A))
| greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B)) ) ).
cnf(prove_t1_4,negated_conjecture,
environment(sk2) ).
cnf(prove_t1_5,negated_conjecture,
stable(sk2) ).
cnf(prove_t1_6,negated_conjecture,
( ~ in_environment(sk2,A)
| subpopulations(first_movers,efficient_producers,sk2,sk3(A)) ) ).
cnf(prove_t1_7,negated_conjecture,
( ~ in_environment(sk2,A)
| greater_or_equal(sk3(A),A) ) ).
cnf(prove_t1_8,negated_conjecture,
( ~ in_environment(sk2,A)
| ~ selection_favors(efficient_producers,first_movers,sk3(A)) ) ).
cnf(refute_0_0,plain,
( ~ in_environment(sk2,sk1(sk2))
| ~ selection_favors(efficient_producers,first_movers,sk3(sk1(sk2))) ),
inference(subst,[],[prove_t1_8:[bind(A,$fot(sk1(sk2)))]]) ).
cnf(refute_0_1,plain,
( ~ in_environment(sk2,sk1(sk2))
| subpopulations(first_movers,efficient_producers,sk2,sk3(sk1(sk2))) ),
inference(subst,[],[prove_t1_6:[bind(A,$fot(sk1(sk2)))]]) ).
cnf(refute_0_2,plain,
( ~ environment(sk2)
| ~ stable(sk2)
| in_environment(sk2,sk1(sk2)) ),
inference(subst,[],[l1_2:[bind(A,$fot(sk2))]]) ).
cnf(refute_0_3,plain,
( ~ environment(sk2)
| in_environment(sk2,sk1(sk2)) ),
inference(resolve,[$cnf( stable(sk2) )],[prove_t1_5,refute_0_2]) ).
cnf(refute_0_4,plain,
in_environment(sk2,sk1(sk2)),
inference(resolve,[$cnf( environment(sk2) )],[prove_t1_4,refute_0_3]) ).
cnf(refute_0_5,plain,
subpopulations(first_movers,efficient_producers,sk2,sk3(sk1(sk2))),
inference(resolve,[$cnf( in_environment(sk2,sk1(sk2)) )],[refute_0_4,refute_0_1]) ).
cnf(refute_0_6,plain,
( ~ environment(sk2)
| ~ greater_or_equal(sk3(sk1(sk2)),sk1(sk2))
| ~ stable(sk2)
| ~ subpopulations(first_movers,efficient_producers,sk2,sk3(sk1(sk2)))
| greater(growth_rate(efficient_producers,sk3(sk1(sk2))),growth_rate(first_movers,sk3(sk1(sk2)))) ),
inference(subst,[],[l1_3:[bind(A,$fot(sk2)),bind(B,$fot(sk3(sk1(sk2))))]]) ).
cnf(refute_0_7,plain,
( ~ environment(sk2)
| ~ greater_or_equal(sk3(sk1(sk2)),sk1(sk2))
| ~ stable(sk2)
| greater(growth_rate(efficient_producers,sk3(sk1(sk2))),growth_rate(first_movers,sk3(sk1(sk2)))) ),
inference(resolve,[$cnf( subpopulations(first_movers,efficient_producers,sk2,sk3(sk1(sk2))) )],[refute_0_5,refute_0_6]) ).
cnf(refute_0_8,plain,
( ~ greater_or_equal(sk3(sk1(sk2)),sk1(sk2))
| ~ stable(sk2)
| greater(growth_rate(efficient_producers,sk3(sk1(sk2))),growth_rate(first_movers,sk3(sk1(sk2)))) ),
inference(resolve,[$cnf( environment(sk2) )],[prove_t1_4,refute_0_7]) ).
cnf(refute_0_9,plain,
( ~ in_environment(sk2,sk1(sk2))
| greater_or_equal(sk3(sk1(sk2)),sk1(sk2)) ),
inference(subst,[],[prove_t1_7:[bind(A,$fot(sk1(sk2)))]]) ).
cnf(refute_0_10,plain,
greater_or_equal(sk3(sk1(sk2)),sk1(sk2)),
inference(resolve,[$cnf( in_environment(sk2,sk1(sk2)) )],[refute_0_4,refute_0_9]) ).
cnf(refute_0_11,plain,
( ~ stable(sk2)
| greater(growth_rate(efficient_producers,sk3(sk1(sk2))),growth_rate(first_movers,sk3(sk1(sk2)))) ),
inference(resolve,[$cnf( greater_or_equal(sk3(sk1(sk2)),sk1(sk2)) )],[refute_0_10,refute_0_8]) ).
cnf(refute_0_12,plain,
greater(growth_rate(efficient_producers,sk3(sk1(sk2))),growth_rate(first_movers,sk3(sk1(sk2)))),
inference(resolve,[$cnf( stable(sk2) )],[prove_t1_5,refute_0_11]) ).
cnf(refute_0_13,plain,
( ~ environment(X_6)
| ~ greater(growth_rate(efficient_producers,sk3(sk1(sk2))),growth_rate(first_movers,sk3(sk1(sk2))))
| ~ subpopulations(first_movers,efficient_producers,X_6,sk3(sk1(sk2)))
| selection_favors(efficient_producers,first_movers,sk3(sk1(sk2))) ),
inference(subst,[],[mp1_high_growth_rates_1:[bind(A,$fot(X_6)),bind(B,$fot(first_movers)),bind(C,$fot(efficient_producers)),bind(D,$fot(sk3(sk1(sk2))))]]) ).
cnf(refute_0_14,plain,
( ~ environment(X_6)
| ~ subpopulations(first_movers,efficient_producers,X_6,sk3(sk1(sk2)))
| selection_favors(efficient_producers,first_movers,sk3(sk1(sk2))) ),
inference(resolve,[$cnf( greater(growth_rate(efficient_producers,sk3(sk1(sk2))),growth_rate(first_movers,sk3(sk1(sk2)))) )],[refute_0_12,refute_0_13]) ).
cnf(refute_0_15,plain,
( ~ environment(sk2)
| ~ subpopulations(first_movers,efficient_producers,sk2,sk3(sk1(sk2)))
| selection_favors(efficient_producers,first_movers,sk3(sk1(sk2))) ),
inference(subst,[],[refute_0_14:[bind(X_6,$fot(sk2))]]) ).
cnf(refute_0_16,plain,
( ~ environment(sk2)
| selection_favors(efficient_producers,first_movers,sk3(sk1(sk2))) ),
inference(resolve,[$cnf( subpopulations(first_movers,efficient_producers,sk2,sk3(sk1(sk2))) )],[refute_0_5,refute_0_15]) ).
cnf(refute_0_17,plain,
selection_favors(efficient_producers,first_movers,sk3(sk1(sk2))),
inference(resolve,[$cnf( environment(sk2) )],[prove_t1_4,refute_0_16]) ).
cnf(refute_0_18,plain,
~ in_environment(sk2,sk1(sk2)),
inference(resolve,[$cnf( selection_favors(efficient_producers,first_movers,sk3(sk1(sk2))) )],[refute_0_17,refute_0_0]) ).
cnf(refute_0_19,plain,
$false,
inference(resolve,[$cnf( in_environment(sk2,sk1(sk2)) )],[refute_0_4,refute_0_18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : MGT032-2 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n021.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Thu Jun 9 09:10:53 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.13/0.36 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.36
% 0.13/0.36 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.13/0.36
%------------------------------------------------------------------------------