TSTP Solution File: MGT032-2 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : MGT032-2 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %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 22:23:23 EDT 2022

% Result   : Unsatisfiable 0.19s 0.51s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_t1_4,negated_conjecture,
    environment(sk2),
    input ).

cnf(prove_t1_5,negated_conjecture,
    stable(sk2),
    input ).

cnf(l1_2,plain,
    ( ~ environment(X3)
    | ~ stable(X3)
    | in_environment(X3,sk1(X3)) ),
    input ).

cnf(c0,plain,
    ( ~ environment(sk2)
    | in_environment(sk2,sk1(sk2)) ),
    inference(resolution,status(thm),[l1_2,prove_t1_5]) ).

cnf(c1,plain,
    in_environment(sk2,sk1(sk2)),
    inference(resolution,status(thm),[c0,prove_t1_4]) ).

cnf(prove_t1_8,negated_conjecture,
    ( ~ in_environment(sk2,X8)
    | ~ selection_favors(efficient_producers,first_movers,sk3(X8)) ),
    input ).

cnf(prove_t1_6,negated_conjecture,
    ( ~ in_environment(sk2,X9)
    | subpopulations(first_movers,efficient_producers,sk2,sk3(X9)) ),
    input ).

cnf(c3,plain,
    subpopulations(first_movers,efficient_producers,sk2,sk3(sk1(sk2))),
    inference(resolution,status(thm),[prove_t1_6,c1]) ).

cnf(mp1_high_growth_rates_1,axiom,
    ( ~ environment(X5)
    | ~ subpopulations(X6,X7,X5,X4)
    | ~ greater(growth_rate(X7,X4),growth_rate(X6,X4))
    | selection_favors(X7,X6,X4) ),
    input ).

cnf(prove_t1_7,negated_conjecture,
    ( ~ in_environment(sk2,X2)
    | greater_or_equal(sk3(X2),X2) ),
    input ).

cnf(c2,plain,
    greater_or_equal(sk3(sk1(sk2)),sk1(sk2)),
    inference(resolution,status(thm),[c1,prove_t1_7]) ).

cnf(l1_3,plain,
    ( ~ environment(X10)
    | ~ stable(X10)
    | ~ subpopulations(first_movers,efficient_producers,X10,X11)
    | ~ greater_or_equal(X11,sk1(X10))
    | greater(growth_rate(efficient_producers,X11),growth_rate(first_movers,X11)) ),
    input ).

cnf(c4,plain,
    ( ~ environment(sk2)
    | ~ stable(sk2)
    | ~ greater_or_equal(sk3(sk1(sk2)),sk1(sk2))
    | greater(growth_rate(efficient_producers,sk3(sk1(sk2))),growth_rate(first_movers,sk3(sk1(sk2)))) ),
    inference(resolution,status(thm),[l1_3,c3]) ).

cnf(c5,plain,
    ( ~ environment(sk2)
    | ~ stable(sk2)
    | greater(growth_rate(efficient_producers,sk3(sk1(sk2))),growth_rate(first_movers,sk3(sk1(sk2)))) ),
    inference(resolution,status(thm),[c4,c2]) ).

cnf(c6,plain,
    ( ~ environment(sk2)
    | greater(growth_rate(efficient_producers,sk3(sk1(sk2))),growth_rate(first_movers,sk3(sk1(sk2)))) ),
    inference(resolution,status(thm),[c5,prove_t1_5]) ).

cnf(c7,plain,
    greater(growth_rate(efficient_producers,sk3(sk1(sk2))),growth_rate(first_movers,sk3(sk1(sk2)))),
    inference(resolution,status(thm),[c6,prove_t1_4]) ).

cnf(c8,plain,
    ( ~ environment(X12)
    | ~ subpopulations(first_movers,efficient_producers,X12,sk3(sk1(sk2)))
    | selection_favors(efficient_producers,first_movers,sk3(sk1(sk2))) ),
    inference(resolution,status(thm),[c7,mp1_high_growth_rates_1]) ).

cnf(c9,plain,
    ( ~ environment(sk2)
    | selection_favors(efficient_producers,first_movers,sk3(sk1(sk2))) ),
    inference(resolution,status(thm),[c8,c3]) ).

cnf(c10,plain,
    selection_favors(efficient_producers,first_movers,sk3(sk1(sk2))),
    inference(resolution,status(thm),[c9,prove_t1_4]) ).

cnf(c11,plain,
    ~ in_environment(sk2,sk1(sk2)),
    inference(resolution,status(thm),[c10,prove_t1_8]) ).

cnf(c12,plain,
    $false,
    inference(resolution,status(thm),[c11,c1]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : MGT032-2 : TPTP v8.1.0. Released v2.4.0.
% 0.12/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34  % Computer : n019.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 09:18:55 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.51  # Version:  1.3
% 0.19/0.51  # SZS status Unsatisfiable
% 0.19/0.51  # SZS output start CNFRefutation
% See solution above
% 0.19/0.51  
% 0.19/0.51  # Initial clauses    : 8
% 0.19/0.51  # Processed clauses  : 20
% 0.19/0.51  # Factors computed   : 0
% 0.19/0.51  # Resolvents computed: 13
% 0.19/0.51  # Tautologies deleted: 0
% 0.19/0.51  # Forward subsumed   : 0
% 0.19/0.51  # Backward subsumed  : 6
% 0.19/0.51  # -------- CPU Time ---------
% 0.19/0.51  # User time          : 0.153 s
% 0.19/0.51  # System time        : 0.018 s
% 0.19/0.51  # Total time         : 0.171 s
%------------------------------------------------------------------------------