TSTP Solution File: MGT023+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : MGT023+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n024.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 22:06:18 EDT 2022

% Result   : Theorem 7.21s 2.22s
% Output   : CNFRefutation 7.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   24 (   8 unt;   8 nHn;  24 RR)
%            Number of literals    :   76 (  10 equ;  45 neg)
%            Maximal clause size   :    5 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-4 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-2 aty)
%            Number of variables   :   24 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_3,hypothesis,
    ( X1 = critical_point(X2)
    | subpopulations(first_movers,efficient_producers,X2,esk1_2(X2,X1))
    | greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
    | ~ environment(X2)
    | ~ in_environment(X2,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gqoj4l8a/input.p',i_0_3) ).

cnf(i_0_6,hypothesis,
    ( in_environment(X1,esk2_1(X1))
    | ~ environment(X1)
    | ~ stable(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gqoj4l8a/input.p',i_0_6) ).

cnf(i_0_5,hypothesis,
    ( ~ environment(X1)
    | ~ stable(X1)
    | ~ greater(growth_rate(efficient_producers,esk2_1(X1)),growth_rate(first_movers,esk2_1(X1))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gqoj4l8a/input.p',i_0_5) ).

cnf(i_0_4,hypothesis,
    ( greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
    | ~ environment(X2)
    | ~ stable(X2)
    | ~ greater(X1,esk2_1(X2))
    | ~ subpopulations(first_movers,efficient_producers,X2,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gqoj4l8a/input.p',i_0_4) ).

cnf(i_0_1,hypothesis,
    ( X1 = critical_point(X2)
    | greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
    | ~ environment(X2)
    | ~ in_environment(X2,X1)
    | ~ greater(growth_rate(efficient_producers,esk1_2(X2,X1)),growth_rate(first_movers,esk1_2(X2,X1))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gqoj4l8a/input.p',i_0_1) ).

cnf(i_0_2,hypothesis,
    ( X1 = critical_point(X2)
    | greater(esk1_2(X2,X1),X1)
    | greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
    | ~ environment(X2)
    | ~ in_environment(X2,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gqoj4l8a/input.p',i_0_2) ).

cnf(i_0_7,negated_conjecture,
    ~ in_environment(esk3_0,critical_point(esk3_0)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gqoj4l8a/input.p',i_0_7) ).

cnf(i_0_8,negated_conjecture,
    stable(esk3_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gqoj4l8a/input.p',i_0_8) ).

cnf(i_0_9,negated_conjecture,
    environment(esk3_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-gqoj4l8a/input.p',i_0_9) ).

cnf(c_0_19,hypothesis,
    ( X1 = critical_point(X2)
    | subpopulations(first_movers,efficient_producers,X2,esk1_2(X2,X1))
    | greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
    | ~ environment(X2)
    | ~ in_environment(X2,X1) ),
    i_0_3 ).

cnf(c_0_20,hypothesis,
    ( in_environment(X1,esk2_1(X1))
    | ~ environment(X1)
    | ~ stable(X1) ),
    i_0_6 ).

cnf(c_0_21,hypothesis,
    ( ~ environment(X1)
    | ~ stable(X1)
    | ~ greater(growth_rate(efficient_producers,esk2_1(X1)),growth_rate(first_movers,esk2_1(X1))) ),
    i_0_5 ).

cnf(c_0_22,hypothesis,
    ( greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
    | ~ environment(X2)
    | ~ stable(X2)
    | ~ greater(X1,esk2_1(X2))
    | ~ subpopulations(first_movers,efficient_producers,X2,X1) ),
    i_0_4 ).

cnf(c_0_23,hypothesis,
    ( critical_point(X1) = esk2_1(X1)
    | subpopulations(first_movers,efficient_producers,X1,esk1_2(X1,esk2_1(X1)))
    | ~ stable(X1)
    | ~ environment(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21]) ).

cnf(c_0_24,hypothesis,
    ( X1 = critical_point(X2)
    | greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
    | ~ environment(X2)
    | ~ in_environment(X2,X1)
    | ~ greater(growth_rate(efficient_producers,esk1_2(X2,X1)),growth_rate(first_movers,esk1_2(X2,X1))) ),
    i_0_1 ).

cnf(c_0_25,hypothesis,
    ( critical_point(X1) = esk2_1(X1)
    | greater(growth_rate(efficient_producers,esk1_2(X1,esk2_1(X1))),growth_rate(first_movers,esk1_2(X1,esk2_1(X1))))
    | ~ greater(esk1_2(X1,esk2_1(X1)),esk2_1(X1))
    | ~ stable(X1)
    | ~ environment(X1) ),
    inference(spm,[status(thm)],[c_0_22,c_0_23]) ).

cnf(c_0_26,hypothesis,
    ( critical_point(X1) = esk2_1(X1)
    | ~ greater(esk1_2(X1,esk2_1(X1)),esk2_1(X1))
    | ~ stable(X1)
    | ~ environment(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_20]),c_0_21]) ).

cnf(c_0_27,hypothesis,
    ( X1 = critical_point(X2)
    | greater(esk1_2(X2,X1),X1)
    | greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
    | ~ environment(X2)
    | ~ in_environment(X2,X1) ),
    i_0_2 ).

cnf(c_0_28,negated_conjecture,
    ~ in_environment(esk3_0,critical_point(esk3_0)),
    i_0_7 ).

cnf(c_0_29,hypothesis,
    ( critical_point(X1) = esk2_1(X1)
    | ~ stable(X1)
    | ~ environment(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_20]),c_0_21]) ).

cnf(c_0_30,negated_conjecture,
    stable(esk3_0),
    i_0_8 ).

cnf(c_0_31,negated_conjecture,
    environment(esk3_0),
    i_0_9 ).

cnf(c_0_32,negated_conjecture,
    ~ in_environment(esk3_0,esk2_1(esk3_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30]),c_0_31])]) ).

cnf(c_0_33,hypothesis,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_20]),c_0_30]),c_0_31])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12  % Problem  : MGT023+1 : TPTP v8.1.0. Released v2.0.0.
% 0.08/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.34  % Computer : n024.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 09:38:36 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.45  # ENIGMATIC: Selected complete mode:
% 7.21/2.22  # ENIGMATIC: Solved by autoschedule:
% 7.21/2.22  # No SInE strategy applied
% 7.21/2.22  # Trying AutoSched0 for 150 seconds
% 7.21/2.22  # AutoSched0-Mode selected heuristic G_____0010_evo
% 7.21/2.22  # and selection function SelectMaxLComplexAvoidPosPred.
% 7.21/2.22  #
% 7.21/2.22  # Preprocessing time       : 0.013 s
% 7.21/2.22  
% 7.21/2.22  # Proof found!
% 7.21/2.22  # SZS status Theorem
% 7.21/2.22  # SZS output start CNFRefutation
% See solution above
% 7.21/2.22  # Training examples: 0 positive, 0 negative
% 7.21/2.22  
% 7.21/2.22  # -------------------------------------------------
% 7.21/2.22  # User time                : 0.014 s
% 7.21/2.22  # System time              : 0.003 s
% 7.21/2.22  # Total time               : 0.017 s
% 7.21/2.22  # Maximum resident set size: 7120 pages
% 7.21/2.22  
%------------------------------------------------------------------------------