TSTP Solution File: MGT032+2 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : MGT032+2 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n017.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 22:06:31 EDT 2022

% Result   : Theorem 6.67s 2.34s
% Output   : CNFRefutation 6.67s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   23 (  10 unt;   0 nHn;  23 RR)
%            Number of literals    :   49 (   0 equ;  28 neg)
%            Maximal clause size   :    5 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    8 (   7 usr;   1 prp; 0-4 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   21 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_3,hypothesis,
    ( in_environment(X1,esk1_1(X1))
    | ~ environment(X1)
    | ~ stable(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-p4s0uu6p/lgb.p',i_0_3) ).

cnf(i_0_7,negated_conjecture,
    stable(esk2_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-p4s0uu6p/lgb.p',i_0_7) ).

cnf(i_0_8,negated_conjecture,
    environment(esk2_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-p4s0uu6p/lgb.p',i_0_8) ).

cnf(i_0_6,negated_conjecture,
    ( subpopulations(first_movers,efficient_producers,esk2_0,esk3_1(X1))
    | ~ in_environment(esk2_0,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-p4s0uu6p/lgb.p',i_0_6) ).

cnf(i_0_5,negated_conjecture,
    ( greater_or_equal(esk3_1(X1),X1)
    | ~ in_environment(esk2_0,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-p4s0uu6p/lgb.p',i_0_5) ).

cnf(i_0_2,hypothesis,
    ( greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
    | ~ environment(X2)
    | ~ stable(X2)
    | ~ greater_or_equal(X1,esk1_1(X2))
    | ~ subpopulations(first_movers,efficient_producers,X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-p4s0uu6p/lgb.p',i_0_2) ).

cnf(i_0_1,plain,
    ( selection_favors(X1,X2,X3)
    | ~ environment(X4)
    | ~ subpopulations(X2,X1,X4,X3)
    | ~ greater(growth_rate(X1,X3),growth_rate(X2,X3)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-p4s0uu6p/lgb.p',i_0_1) ).

cnf(i_0_4,negated_conjecture,
    ( ~ in_environment(esk2_0,X1)
    | ~ selection_favors(efficient_producers,first_movers,esk3_1(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-p4s0uu6p/lgb.p',i_0_4) ).

cnf(c_0_17,hypothesis,
    ( in_environment(X1,esk1_1(X1))
    | ~ environment(X1)
    | ~ stable(X1) ),
    i_0_3 ).

cnf(c_0_18,negated_conjecture,
    stable(esk2_0),
    i_0_7 ).

cnf(c_0_19,negated_conjecture,
    environment(esk2_0),
    i_0_8 ).

cnf(c_0_20,negated_conjecture,
    ( subpopulations(first_movers,efficient_producers,esk2_0,esk3_1(X1))
    | ~ in_environment(esk2_0,X1) ),
    i_0_6 ).

cnf(c_0_21,negated_conjecture,
    in_environment(esk2_0,esk1_1(esk2_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19])]) ).

cnf(c_0_22,negated_conjecture,
    ( greater_or_equal(esk3_1(X1),X1)
    | ~ in_environment(esk2_0,X1) ),
    i_0_5 ).

cnf(c_0_23,hypothesis,
    ( greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
    | ~ environment(X2)
    | ~ stable(X2)
    | ~ greater_or_equal(X1,esk1_1(X2))
    | ~ subpopulations(first_movers,efficient_producers,X2,X1) ),
    i_0_2 ).

cnf(c_0_24,negated_conjecture,
    subpopulations(first_movers,efficient_producers,esk2_0,esk3_1(esk1_1(esk2_0))),
    inference(spm,[status(thm)],[c_0_20,c_0_21]) ).

cnf(c_0_25,negated_conjecture,
    greater_or_equal(esk3_1(esk1_1(esk2_0)),esk1_1(esk2_0)),
    inference(spm,[status(thm)],[c_0_22,c_0_21]) ).

cnf(c_0_26,plain,
    ( selection_favors(X1,X2,X3)
    | ~ environment(X4)
    | ~ subpopulations(X2,X1,X4,X3)
    | ~ greater(growth_rate(X1,X3),growth_rate(X2,X3)) ),
    i_0_1 ).

cnf(c_0_27,hypothesis,
    greater(growth_rate(efficient_producers,esk3_1(esk1_1(esk2_0))),growth_rate(first_movers,esk3_1(esk1_1(esk2_0)))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_18]),c_0_19]),c_0_25])]) ).

cnf(c_0_28,plain,
    ( selection_favors(efficient_producers,first_movers,esk3_1(esk1_1(esk2_0)))
    | ~ environment(X1)
    | ~ subpopulations(first_movers,efficient_producers,X1,esk3_1(esk1_1(esk2_0))) ),
    inference(spm,[status(thm)],[c_0_26,c_0_27]) ).

cnf(c_0_29,negated_conjecture,
    ( ~ in_environment(esk2_0,X1)
    | ~ selection_favors(efficient_producers,first_movers,esk3_1(X1)) ),
    i_0_4 ).

cnf(c_0_30,negated_conjecture,
    selection_favors(efficient_producers,first_movers,esk3_1(esk1_1(esk2_0))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_24]),c_0_19])]) ).

cnf(c_0_31,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_21])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : MGT032+2 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n017.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Thu Jun  9 11:25:36 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  # ENIGMATIC: Selected complete mode:
% 6.67/2.34  # ENIGMATIC: Solved by autoschedule-lgb:
% 6.67/2.34  # No SInE strategy applied
% 6.67/2.34  # Trying AutoSched0 for 150 seconds
% 6.67/2.34  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S031N
% 6.67/2.34  # and selection function PSelectStrongRRNonRROptimalLit.
% 6.67/2.34  #
% 6.67/2.34  # Preprocessing time       : 0.024 s
% 6.67/2.34  # Presaturation interreduction done
% 6.67/2.34  
% 6.67/2.34  # Proof found!
% 6.67/2.34  # SZS status Theorem
% 6.67/2.34  # SZS output start CNFRefutation
% See solution above
% 6.67/2.34  # Training examples: 0 positive, 0 negative
% 6.67/2.34  
% 6.67/2.34  # -------------------------------------------------
% 6.67/2.34  # User time                : 0.028 s
% 6.67/2.34  # System time              : 0.003 s
% 6.67/2.34  # Total time               : 0.031 s
% 6.67/2.34  # Maximum resident set size: 7128 pages
% 6.67/2.34  
%------------------------------------------------------------------------------