TSTP Solution File: MGT036-1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : MGT036-1 : 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 22:19:43 EDT 2022
% Result : Unsatisfiable 0.13s 0.35s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 11
% Syntax : Number of clauses : 37 ( 13 unt; 0 nHn; 34 RR)
% Number of literals : 84 ( 0 equ; 52 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 : 34 ( 11 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(mp_symmetry_of_FM_and_EP_1,axiom,
( ~ environment(A)
| ~ subpopulations(first_movers,efficient_producers,A,B)
| subpopulations(efficient_producers,first_movers,A,B) ) ).
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_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(a12_10,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(a2_11,hypothesis,
greater(resilience(efficient_producers),resilience(first_movers)) ).
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(sk1)
| ~ subpopulations(first_movers,efficient_producers,sk1,sk2)
| in_environment(sk1,sk2) ),
inference(subst,[],[mp_time_point_occur_2:[bind(A,$fot(sk1)),bind(B,$fot(sk2))]]) ).
cnf(refute_0_1,plain,
( ~ environment(sk1)
| in_environment(sk1,sk2) ),
inference(resolve,[$cnf( subpopulations(first_movers,efficient_producers,sk1,sk2) )],[prove_t5_13,refute_0_0]) ).
cnf(refute_0_2,plain,
in_environment(sk1,sk2),
inference(resolve,[$cnf( environment(sk1) )],[prove_t5_12,refute_0_1]) ).
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_FM_and_EP_1:[bind(A,$fot(sk1)),bind(B,$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,[$cnf( outcompetes(first_movers,efficient_producers,sk2) )],[prove_t5_14,refute_0_8]) ).
cnf(refute_0_10,plain,
( ~ greater(zero,growth_rate(efficient_producers,sk2))
| environment(A) ),
inference(subst,[],[mp_growth_rate_relationships_3:[bind(B,$fot(efficient_producers)),bind(C,$fot(sk2))]]) ).
cnf(refute_0_11,plain,
environment(A),
inference(resolve,[$cnf( greater(zero,growth_rate(efficient_producers,sk2)) )],[refute_0_9,refute_0_10]) ).
cnf(refute_0_12,plain,
( ~ greater(resilience(D),resilience(C))
| ~ greater(zero,growth_rate(D,B))
| ~ in_environment(A,B)
| greater(zero,growth_rate(C,B)) ),
inference(resolve,[$cnf( environment(A) )],[refute_0_11,a12_10]) ).
cnf(refute_0_13,plain,
( ~ greater(resilience(efficient_producers),resilience(first_movers))
| ~ greater(zero,growth_rate(efficient_producers,X_30))
| ~ in_environment(X_29,X_30)
| greater(zero,growth_rate(first_movers,X_30)) ),
inference(subst,[],[refute_0_12:[bind(A,$fot(X_29)),bind(B,$fot(X_30)),bind(C,$fot(first_movers)),bind(D,$fot(efficient_producers))]]) ).
cnf(refute_0_14,plain,
( ~ greater(zero,growth_rate(efficient_producers,X_30))
| ~ in_environment(X_29,X_30)
| greater(zero,growth_rate(first_movers,X_30)) ),
inference(resolve,[$cnf( greater(resilience(efficient_producers),resilience(first_movers)) )],[a2_11,refute_0_13]) ).
cnf(refute_0_15,plain,
( ~ greater(zero,growth_rate(efficient_producers,sk2))
| ~ in_environment(X_33,sk2)
| greater(zero,growth_rate(first_movers,sk2)) ),
inference(subst,[],[refute_0_14:[bind(X_29,$fot(X_33)),bind(X_30,$fot(sk2))]]) ).
cnf(refute_0_16,plain,
( ~ in_environment(X_33,sk2)
| greater(zero,growth_rate(first_movers,sk2)) ),
inference(resolve,[$cnf( greater(zero,growth_rate(efficient_producers,sk2)) )],[refute_0_9,refute_0_15]) ).
cnf(refute_0_17,plain,
( ~ greater(zero,growth_rate(first_movers,sk2))
| ~ greater_or_equal(growth_rate(first_movers,sk2),zero) ),
inference(subst,[],[mp_growth_rate_relationships_5:[bind(A,$fot(first_movers)),bind(B,$fot(sk2))]]) ).
cnf(refute_0_18,plain,
( ~ environment(sk1)
| ~ outcompetes(first_movers,efficient_producers,sk2)
| ~ subpopulations(efficient_producers,first_movers,sk1,sk2)
| greater_or_equal(growth_rate(first_movers,sk2),zero) ),
inference(subst,[],[d2_8:[bind(A,$fot(sk1)),bind(B,$fot(efficient_producers)),bind(C,$fot(first_movers)),bind(D,$fot(sk2))]]) ).
cnf(refute_0_19,plain,
( ~ environment(sk1)
| ~ outcompetes(first_movers,efficient_producers,sk2)
| greater_or_equal(growth_rate(first_movers,sk2),zero) ),
inference(resolve,[$cnf( subpopulations(efficient_producers,first_movers,sk1,sk2) )],[refute_0_5,refute_0_18]) ).
cnf(refute_0_20,plain,
( ~ outcompetes(first_movers,efficient_producers,sk2)
| greater_or_equal(growth_rate(first_movers,sk2),zero) ),
inference(resolve,[$cnf( environment(sk1) )],[prove_t5_12,refute_0_19]) ).
cnf(refute_0_21,plain,
greater_or_equal(growth_rate(first_movers,sk2),zero),
inference(resolve,[$cnf( outcompetes(first_movers,efficient_producers,sk2) )],[prove_t5_14,refute_0_20]) ).
cnf(refute_0_22,plain,
~ greater(zero,growth_rate(first_movers,sk2)),
inference(resolve,[$cnf( greater_or_equal(growth_rate(first_movers,sk2),zero) )],[refute_0_21,refute_0_17]) ).
cnf(refute_0_23,plain,
~ in_environment(X_33,sk2),
inference(resolve,[$cnf( greater(zero,growth_rate(first_movers,sk2)) )],[refute_0_16,refute_0_22]) ).
cnf(refute_0_24,plain,
~ in_environment(sk1,sk2),
inference(subst,[],[refute_0_23:[bind(X_33,$fot(sk1))]]) ).
cnf(refute_0_25,plain,
$false,
inference(resolve,[$cnf( in_environment(sk1,sk2) )],[refute_0_2,refute_0_24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : MGT036-1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.33 % Computer : n019.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Thu Jun 9 11:27:40 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.13/0.35 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35
% 0.13/0.35 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.13/0.35
%------------------------------------------------------------------------------