TSTP Solution File: MGT036-2 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : MGT036-2 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n032.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 22:19:44 EDT 2022
% Result : Unsatisfiable 0.10s 0.27s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 12
% Syntax : Number of clauses : 47 ( 19 unt; 0 nHn; 33 RR)
% Number of literals : 99 ( 0 equ; 55 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-4 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 57 ( 23 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(mp_symmetry_of_subpopulations_1,axiom,
( ~ environment(A)
| ~ subpopulations(B,C,A,D)
| subpopulations(C,B,A,D) ) ).
cnf(mp_time_point_occur_2,axiom,
( ~ environment(A)
| ~ subpopulations(first_movers,efficient_producers,A,B)
| in_environment(A,B) ) ).
cnf(mp_growth_rate_relationships_3,axiom,
( environment(A)
| ~ greater(zero,growth_rate(B,C)) ) ).
cnf(mp_growth_rate_relationships_4,axiom,
( subpopulations(A,B,C,D)
| ~ greater(zero,growth_rate(A,D)) ) ).
cnf(mp_growth_rate_relationships_5,axiom,
( ~ greater_or_equal(growth_rate(A,B),zero)
| ~ greater(zero,growth_rate(A,B)) ) ).
cnf(d2_8,hypothesis,
( ~ environment(A)
| ~ subpopulations(B,C,A,D)
| ~ outcompetes(C,B,D)
| greater_or_equal(growth_rate(C,D),zero) ) ).
cnf(d2_9,hypothesis,
( ~ environment(A)
| ~ subpopulations(B,C,A,D)
| ~ outcompetes(C,B,D)
| greater(zero,growth_rate(B,D)) ) ).
cnf(a2_10,hypothesis,
greater(resilience(efficient_producers),resilience(first_movers)) ).
cnf(a13_11,hypothesis,
( ~ environment(A)
| ~ in_environment(A,B)
| greater(zero,growth_rate(C,B))
| ~ greater(resilience(D),resilience(C))
| ~ greater(zero,growth_rate(D,B)) ) ).
cnf(prove_t5_12,negated_conjecture,
environment(sk1) ).
cnf(prove_t5_13,negated_conjecture,
subpopulations(first_movers,efficient_producers,sk1,sk2) ).
cnf(prove_t5_14,negated_conjecture,
outcompetes(first_movers,efficient_producers,sk2) ).
cnf(refute_0_0,plain,
( ~ environment(X_27)
| ~ subpopulations(first_movers,efficient_producers,X_27,sk2)
| in_environment(X_27,sk2) ),
inference(subst,[],[mp_time_point_occur_2:[bind(A,$fot(X_27)),bind(B,$fot(sk2))]]) ).
cnf(refute_0_1,plain,
( ~ environment(X_25)
| ~ subpopulations(efficient_producers,X_24,X_25,sk2)
| subpopulations(X_24,efficient_producers,X_25,sk2) ),
inference(subst,[],[mp_symmetry_of_subpopulations_1:[bind(A,$fot(X_25)),bind(B,$fot(efficient_producers)),bind(C,$fot(X_24)),bind(D,$fot(sk2))]]) ).
cnf(refute_0_2,plain,
( ~ greater(zero,growth_rate(efficient_producers,sk2))
| subpopulations(efficient_producers,B,C,sk2) ),
inference(subst,[],[mp_growth_rate_relationships_4:[bind(A,$fot(efficient_producers)),bind(D,$fot(sk2))]]) ).
cnf(refute_0_3,plain,
( ~ environment(sk1)
| ~ subpopulations(first_movers,efficient_producers,sk1,sk2)
| subpopulations(efficient_producers,first_movers,sk1,sk2) ),
inference(subst,[],[mp_symmetry_of_subpopulations_1:[bind(A,$fot(sk1)),bind(B,$fot(first_movers)),bind(C,$fot(efficient_producers)),bind(D,$fot(sk2))]]) ).
cnf(refute_0_4,plain,
( ~ environment(sk1)
| subpopulations(efficient_producers,first_movers,sk1,sk2) ),
inference(resolve,[$cnf( subpopulations(first_movers,efficient_producers,sk1,sk2) )],[prove_t5_13,refute_0_3]) ).
cnf(refute_0_5,plain,
subpopulations(efficient_producers,first_movers,sk1,sk2),
inference(resolve,[$cnf( environment(sk1) )],[prove_t5_12,refute_0_4]) ).
cnf(refute_0_6,plain,
( ~ environment(sk1)
| ~ outcompetes(first_movers,efficient_producers,sk2)
| ~ subpopulations(efficient_producers,first_movers,sk1,sk2)
| greater(zero,growth_rate(efficient_producers,sk2)) ),
inference(subst,[],[d2_9:[bind(A,$fot(sk1)),bind(B,$fot(efficient_producers)),bind(C,$fot(first_movers)),bind(D,$fot(sk2))]]) ).
cnf(refute_0_7,plain,
( ~ environment(sk1)
| ~ outcompetes(first_movers,efficient_producers,sk2)
| greater(zero,growth_rate(efficient_producers,sk2)) ),
inference(resolve,[$cnf( subpopulations(efficient_producers,first_movers,sk1,sk2) )],[refute_0_5,refute_0_6]) ).
cnf(refute_0_8,plain,
( ~ outcompetes(first_movers,efficient_producers,sk2)
| greater(zero,growth_rate(efficient_producers,sk2)) ),
inference(resolve,[$cnf( environment(sk1) )],[prove_t5_12,refute_0_7]) ).
cnf(refute_0_9,plain,
greater(zero,growth_rate(efficient_producers,sk2)),
inference(resolve,[$cnf( outcompetes(first_movers,efficient_producers,sk2) )],[prove_t5_14,refute_0_8]) ).
cnf(refute_0_10,plain,
subpopulations(efficient_producers,B,C,sk2),
inference(resolve,[$cnf( greater(zero,growth_rate(efficient_producers,sk2)) )],[refute_0_9,refute_0_2]) ).
cnf(refute_0_11,plain,
subpopulations(efficient_producers,X_24,X_25,sk2),
inference(subst,[],[refute_0_10:[bind(B,$fot(X_24)),bind(C,$fot(X_25))]]) ).
cnf(refute_0_12,plain,
( ~ environment(X_25)
| subpopulations(X_24,efficient_producers,X_25,sk2) ),
inference(resolve,[$cnf( subpopulations(efficient_producers,X_24,X_25,sk2) )],[refute_0_11,refute_0_1]) ).
cnf(refute_0_13,plain,
( ~ greater(zero,growth_rate(efficient_producers,sk2))
| environment(A) ),
inference(subst,[],[mp_growth_rate_relationships_3:[bind(B,$fot(efficient_producers)),bind(C,$fot(sk2))]]) ).
cnf(refute_0_14,plain,
environment(A),
inference(resolve,[$cnf( greater(zero,growth_rate(efficient_producers,sk2)) )],[refute_0_9,refute_0_13]) ).
cnf(refute_0_15,plain,
environment(X_25),
inference(subst,[],[refute_0_14:[bind(A,$fot(X_25))]]) ).
cnf(refute_0_16,plain,
subpopulations(X_24,efficient_producers,X_25,sk2),
inference(resolve,[$cnf( environment(X_25) )],[refute_0_15,refute_0_12]) ).
cnf(refute_0_17,plain,
subpopulations(first_movers,efficient_producers,X_27,sk2),
inference(subst,[],[refute_0_16:[bind(X_24,$fot(first_movers)),bind(X_25,$fot(X_27))]]) ).
cnf(refute_0_18,plain,
( ~ environment(X_27)
| in_environment(X_27,sk2) ),
inference(resolve,[$cnf( subpopulations(first_movers,efficient_producers,X_27,sk2) )],[refute_0_17,refute_0_0]) ).
cnf(refute_0_19,plain,
environment(X_27),
inference(subst,[],[refute_0_14:[bind(A,$fot(X_27))]]) ).
cnf(refute_0_20,plain,
in_environment(X_27,sk2),
inference(resolve,[$cnf( environment(X_27) )],[refute_0_19,refute_0_18]) ).
cnf(refute_0_21,plain,
in_environment(X_37,sk2),
inference(subst,[],[refute_0_20:[bind(X_27,$fot(X_37))]]) ).
cnf(refute_0_22,plain,
( ~ greater(resilience(D),resilience(C))
| ~ greater(zero,growth_rate(D,B))
| ~ in_environment(A,B)
| greater(zero,growth_rate(C,B)) ),
inference(resolve,[$cnf( environment(A) )],[refute_0_14,a13_11]) ).
cnf(refute_0_23,plain,
( ~ greater(resilience(X_40),resilience(X_39))
| ~ greater(zero,growth_rate(X_40,sk2))
| ~ in_environment(X_37,sk2)
| greater(zero,growth_rate(X_39,sk2)) ),
inference(subst,[],[refute_0_22:[bind(A,$fot(X_37)),bind(B,$fot(sk2)),bind(C,$fot(X_39)),bind(D,$fot(X_40))]]) ).
cnf(refute_0_24,plain,
( ~ greater(resilience(X_40),resilience(X_39))
| ~ greater(zero,growth_rate(X_40,sk2))
| greater(zero,growth_rate(X_39,sk2)) ),
inference(resolve,[$cnf( in_environment(X_37,sk2) )],[refute_0_21,refute_0_23]) ).
cnf(refute_0_25,plain,
( ~ greater(resilience(efficient_producers),resilience(first_movers))
| ~ greater(zero,growth_rate(efficient_producers,sk2))
| greater(zero,growth_rate(first_movers,sk2)) ),
inference(subst,[],[refute_0_24:[bind(X_39,$fot(first_movers)),bind(X_40,$fot(efficient_producers))]]) ).
cnf(refute_0_26,plain,
( ~ greater(zero,growth_rate(efficient_producers,sk2))
| greater(zero,growth_rate(first_movers,sk2)) ),
inference(resolve,[$cnf( greater(resilience(efficient_producers),resilience(first_movers)) )],[a2_10,refute_0_25]) ).
cnf(refute_0_27,plain,
greater(zero,growth_rate(first_movers,sk2)),
inference(resolve,[$cnf( greater(zero,growth_rate(efficient_producers,sk2)) )],[refute_0_9,refute_0_26]) ).
cnf(refute_0_28,plain,
( ~ greater(zero,growth_rate(first_movers,sk2))
| ~ greater_or_equal(growth_rate(first_movers,sk2),zero) ),
inference(subst,[],[mp_growth_rate_relationships_5:[bind(A,$fot(first_movers)),bind(B,$fot(sk2))]]) ).
cnf(refute_0_29,plain,
( ~ environment(sk1)
| ~ outcompetes(first_movers,efficient_producers,sk2)
| ~ subpopulations(efficient_producers,first_movers,sk1,sk2)
| greater_or_equal(growth_rate(first_movers,sk2),zero) ),
inference(subst,[],[d2_8:[bind(A,$fot(sk1)),bind(B,$fot(efficient_producers)),bind(C,$fot(first_movers)),bind(D,$fot(sk2))]]) ).
cnf(refute_0_30,plain,
( ~ environment(sk1)
| ~ outcompetes(first_movers,efficient_producers,sk2)
| greater_or_equal(growth_rate(first_movers,sk2),zero) ),
inference(resolve,[$cnf( subpopulations(efficient_producers,first_movers,sk1,sk2) )],[refute_0_5,refute_0_29]) ).
cnf(refute_0_31,plain,
( ~ outcompetes(first_movers,efficient_producers,sk2)
| greater_or_equal(growth_rate(first_movers,sk2),zero) ),
inference(resolve,[$cnf( environment(sk1) )],[prove_t5_12,refute_0_30]) ).
cnf(refute_0_32,plain,
greater_or_equal(growth_rate(first_movers,sk2),zero),
inference(resolve,[$cnf( outcompetes(first_movers,efficient_producers,sk2) )],[prove_t5_14,refute_0_31]) ).
cnf(refute_0_33,plain,
~ greater(zero,growth_rate(first_movers,sk2)),
inference(resolve,[$cnf( greater_or_equal(growth_rate(first_movers,sk2),zero) )],[refute_0_32,refute_0_28]) ).
cnf(refute_0_34,plain,
$false,
inference(resolve,[$cnf( greater(zero,growth_rate(first_movers,sk2)) )],[refute_0_27,refute_0_33]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.07 % Problem : MGT036-2 : TPTP v8.1.0. Released v2.4.0.
% 0.02/0.08 % Command : metis --show proof --show saturation %s
% 0.07/0.26 % Computer : n032.cluster.edu
% 0.07/0.26 % Model : x86_64 x86_64
% 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26 % Memory : 8042.1875MB
% 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26 % CPULimit : 300
% 0.07/0.26 % WCLimit : 600
% 0.07/0.26 % DateTime : Thu Jun 9 08:31:22 EDT 2022
% 0.07/0.26 % CPUTime :
% 0.07/0.27 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.10/0.27 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.27
% 0.10/0.27 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.10/0.28
%------------------------------------------------------------------------------