TSTP Solution File: MGT036-3 by PyRes---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.5
% Problem  : MGT036-3 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n018.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  : 300s
% DateTime : Thu May  9 17:33:12 EDT 2024

% Result   : Unsatisfiable 0.38s 0.57s
% Output   : Refutation 0.38s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   16 (   8 unt;   0 nHn;  16 RR)
%            Number of literals    :   32 (   0 equ;  19 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   :   13 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(a13_star_5,plain,
    environment(sk1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a13_star_5) ).

cnf(a13_star_6,plain,
    subpopulations(first_movers,efficient_producers,sk1,sk2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a13_star_6) ).

cnf(prove_t5_star_9,negated_conjecture,
    ( ~ environment(X11)
    | ~ subpopulations(first_movers,efficient_producers,X11,X10)
    | ~ outcompetes(first_movers,efficient_producers,X10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t5_star_9) ).

cnf(c4,plain,
    ( ~ environment(sk1)
    | ~ outcompetes(first_movers,efficient_producers,sk2) ),
    inference(resolution,[status(thm)],[prove_t5_star_9,a13_star_6]) ).

cnf(mp_symmetry_of_subpopulations_1,axiom,
    ( ~ environment(X5)
    | ~ subpopulations(X3,X2,X5,X4)
    | subpopulations(X2,X3,X5,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_symmetry_of_subpopulations_1) ).

cnf(c0,plain,
    ( ~ environment(sk1)
    | subpopulations(efficient_producers,first_movers,sk1,sk2) ),
    inference(resolution,[status(thm)],[mp_symmetry_of_subpopulations_1,a13_star_6]) ).

cnf(c2,plain,
    subpopulations(efficient_producers,first_movers,sk1,sk2),
    inference(resolution,[status(thm)],[c0,a13_star_5]) ).

cnf(a13_star_7,plain,
    greater_or_equal(growth_rate(first_movers,sk2),zero),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a13_star_7) ).

cnf(a13_star_8,plain,
    greater(zero,growth_rate(efficient_producers,sk2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a13_star_8) ).

cnf(d2_2,plain,
    ( ~ environment(X9)
    | ~ subpopulations(X7,X6,X9,X8)
    | ~ greater_or_equal(growth_rate(X6,X8),zero)
    | ~ greater(zero,growth_rate(X7,X8))
    | outcompetes(X6,X7,X8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_2) ).

cnf(c1,plain,
    ( ~ environment(X20)
    | ~ subpopulations(efficient_producers,X21,X20,sk2)
    | ~ greater_or_equal(growth_rate(X21,sk2),zero)
    | outcompetes(X21,efficient_producers,sk2) ),
    inference(resolution,[status(thm)],[d2_2,a13_star_8]) ).

cnf(c9,plain,
    ( ~ environment(X22)
    | ~ subpopulations(efficient_producers,first_movers,X22,sk2)
    | outcompetes(first_movers,efficient_producers,sk2) ),
    inference(resolution,[status(thm)],[c1,a13_star_7]) ).

cnf(c10,plain,
    ( ~ environment(sk1)
    | outcompetes(first_movers,efficient_producers,sk2) ),
    inference(resolution,[status(thm)],[c9,c2]) ).

cnf(c11,plain,
    outcompetes(first_movers,efficient_producers,sk2),
    inference(resolution,[status(thm)],[c10,a13_star_5]) ).

cnf(c12,plain,
    ~ environment(sk1),
    inference(resolution,[status(thm)],[c11,c4]) ).

cnf(c13,plain,
    $false,
    inference(resolution,[status(thm)],[c12,a13_star_5]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : MGT036-3 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.35  % Computer : n018.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Thu May  9 01:01:53 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 0.38/0.57  % Version:  1.5
% 0.38/0.57  % SZS status Unsatisfiable
% 0.38/0.57  % SZS output start CNFRefutation
% See solution above
% 0.38/0.57  
% 0.38/0.57  % Initial clauses    : 9
% 0.38/0.57  % Processed clauses  : 19
% 0.38/0.57  % Factors computed   : 0
% 0.38/0.57  % Resolvents computed: 14
% 0.38/0.57  % Tautologies deleted: 0
% 0.38/0.57  % Forward subsumed   : 3
% 0.38/0.57  % Backward subsumed  : 6
% 0.38/0.57  % -------- CPU Time ---------
% 0.38/0.57  % User time          : 0.194 s
% 0.38/0.57  % System time        : 0.019 s
% 0.38/0.57  % Total time         : 0.213 s
%------------------------------------------------------------------------------