%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : MGT036-3 : 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 0.09s 0.29s
% Output   : CNFRefutation 0.09s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   19 (   8 unt;   0 nHn;  19 RR)
%            Number of literals    :   43 (   0 equ;  28 neg)
%            Maximal clause size   :    5 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-4 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-2 aty)
%            Number of variables   :   10 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(mp_symmetry_of_subpopulations_1,axiom,
    ( ~ environment(A)
    | ~ subpopulations(B,C,A,D)
    | subpopulations(C,B,A,D) ) ).

cnf(d2_2,hypothesis,
    ( ~ environment(A)
    | ~ subpopulations(B,C,A,D)
    | ~ greater_or_equal(growth_rate(C,D),zero)
    | ~ greater(zero,growth_rate(B,D))
    | outcompetes(C,B,D) ) ).

cnf(a13_star_5,hypothesis,
    environment(sk1) ).

cnf(a13_star_6,hypothesis,
    subpopulations(first_movers,efficient_producers,sk1,sk2) ).

cnf(a13_star_7,hypothesis,
    greater_or_equal(growth_rate(first_movers,sk2),zero) ).

cnf(a13_star_8,hypothesis,
    greater(zero,growth_rate(efficient_producers,sk2)) ).

cnf(prove_t5_star_9,negated_conjecture,
    ( ~ environment(A)
    | ~ subpopulations(first_movers,efficient_producers,A,B)
    | ~ outcompetes(first_movers,efficient_producers,B) ) ).

cnf(refute_0_0,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_1,plain,
    ( ~ environment(sk1)
    | subpopulations(efficient_producers,first_movers,sk1,sk2) ),
    inference(resolve,[$cnf( subpopulations(first_movers,efficient_producers,sk1,sk2) )],[a13_star_6,refute_0_0]) ).

cnf(refute_0_2,plain,
    subpopulations(efficient_producers,first_movers,sk1,sk2),
    inference(resolve,[$cnf( environment(sk1) )],[a13_star_5,refute_0_1]) ).

cnf(refute_0_3,plain,
    ( ~ environment(sk1)
    | ~ greater(zero,growth_rate(efficient_producers,sk2))
    | ~ greater_or_equal(growth_rate(first_movers,sk2),zero)
    | ~ subpopulations(efficient_producers,first_movers,sk1,sk2)
    | outcompetes(first_movers,efficient_producers,sk2) ),
    inference(subst,[],[d2_2:[bind(A,$fot(sk1)),bind(B,$fot(efficient_producers)),bind(C,$fot(first_movers)),bind(D,$fot(sk2))]]) ).

cnf(refute_0_4,plain,
    ( ~ environment(sk1)
    | ~ greater(zero,growth_rate(efficient_producers,sk2))
    | ~ greater_or_equal(growth_rate(first_movers,sk2),zero)
    | outcompetes(first_movers,efficient_producers,sk2) ),
    inference(resolve,[$cnf( subpopulations(efficient_producers,first_movers,sk1,sk2) )],[refute_0_2,refute_0_3]) ).

cnf(refute_0_5,plain,
    ( ~ greater(zero,growth_rate(efficient_producers,sk2))
    | ~ greater_or_equal(growth_rate(first_movers,sk2),zero)
    | outcompetes(first_movers,efficient_producers,sk2) ),
    inference(resolve,[$cnf( environment(sk1) )],[a13_star_5,refute_0_4]) ).

cnf(refute_0_6,plain,
    ( ~ greater_or_equal(growth_rate(first_movers,sk2),zero)
    | outcompetes(first_movers,efficient_producers,sk2) ),
    inference(resolve,[$cnf( greater(zero,growth_rate(efficient_producers,sk2)) )],[a13_star_8,refute_0_5]) ).

cnf(refute_0_7,plain,
    outcompetes(first_movers,efficient_producers,sk2),
    inference(resolve,[$cnf( greater_or_equal(growth_rate(first_movers,sk2),zero) )],[a13_star_7,refute_0_6]) ).

cnf(refute_0_8,plain,
    ( ~ environment(sk1)
    | ~ outcompetes(first_movers,efficient_producers,sk2)
    | ~ subpopulations(first_movers,efficient_producers,sk1,sk2) ),
    inference(subst,[],[prove_t5_star_9:[bind(A,$fot(sk1)),bind(B,$fot(sk2))]]) ).

cnf(refute_0_9,plain,
    ( ~ environment(sk1)
    | ~ outcompetes(first_movers,efficient_producers,sk2) ),
    inference(resolve,[$cnf( subpopulations(first_movers,efficient_producers,sk1,sk2) )],[a13_star_6,refute_0_8]) ).

cnf(refute_0_10,plain,
    ~ outcompetes(first_movers,efficient_producers,sk2),
    inference(resolve,[$cnf( environment(sk1) )],[a13_star_5,refute_0_9]) ).

cnf(refute_0_11,plain,
    $false,
    inference(resolve,[$cnf( outcompetes(first_movers,efficient_producers,sk2) )],[refute_0_7,refute_0_10]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.09  % Problem  : MGT036-3 : TPTP v8.1.0. Released v2.4.0.
% 0.09/0.09  % Command  : metis --show proof --show saturation %s
% 0.09/0.28  % Computer : n032.cluster.edu
% 0.09/0.28  % Model    : x86_64 x86_64
% 0.09/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28  % Memory   : 8042.1875MB
% 0.09/0.28  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28  % CPULimit : 300
% 0.09/0.28  % WCLimit  : 600
% 0.09/0.28  % DateTime : Thu Jun  9 10:10:07 EDT 2022
% 0.09/0.28  % CPUTime  : 
% 0.09/0.29  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.09/0.29  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.29  
% 0.09/0.29  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.09/0.29  
%------------------------------------------------------------------------------