TSTP Solution File: MGT020+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : MGT020+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n023.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 22:06:17 EDT 2022

% Result   : Theorem 7.62s 2.33s
% Output   : CNFRefutation 7.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   12
% Syntax   : Number of clauses     :   35 (   8 unt;   9 nHn;  35 RR)
%            Number of literals    :  102 (   8 equ;  63 neg)
%            Maximal clause size   :    7 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   1 prp; 0-4 aty)
%            Number of functors    :    8 (   8 usr;   4 con; 0-2 aty)
%            Number of variables   :   50 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_7,plain,
    ( in_environment(X1,X2)
    | ~ environment(X1)
    | ~ in_environment(X1,X3)
    | ~ greater(X3,X2)
    | ~ greater_or_equal(X2,start_time(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jpdx375h/input.p',i_0_7) ).

cnf(i_0_6,plain,
    ( greater_or_equal(initial_FM_EP(X1),start_time(X1))
    | ~ environment(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jpdx375h/input.p',i_0_6) ).

cnf(i_0_9,plain,
    ( X1 = X2
    | greater(X1,X2)
    | ~ greater_or_equal(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jpdx375h/input.p',i_0_9) ).

cnf(i_0_2,plain,
    ( greater_or_equal(X1,initial_FM_EP(X2))
    | ~ environment(X2)
    | ~ subpopulations(first_movers,efficient_producers,X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jpdx375h/input.p',i_0_2) ).

cnf(i_0_4,plain,
    ( greater(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1))
    | decreases(difference(disbanding_rate(first_movers,X2),disbanding_rate(efficient_producers,X2)))
    | ~ environment(X3)
    | ~ greater_or_equal(X1,X2)
    | ~ greater_or_equal(X2,X4)
    | ~ subpopulations(first_movers,efficient_producers,X3,X1)
    | ~ greater(disbanding_rate(first_movers,X4),disbanding_rate(efficient_producers,X4)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jpdx375h/input.p',i_0_4) ).

cnf(i_0_10,hypothesis,
    ( greater(disbanding_rate(first_movers,initial_FM_EP(X1)),disbanding_rate(efficient_producers,initial_FM_EP(X1)))
    | ~ environment(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jpdx375h/input.p',i_0_10) ).

cnf(i_0_5,plain,
    ( in_environment(X1,X2)
    | ~ environment(X1)
    | ~ subpopulations(first_movers,efficient_producers,X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jpdx375h/input.p',i_0_5) ).

cnf(i_0_13,negated_conjecture,
    subpopulations(first_movers,efficient_producers,esk1_0,esk2_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jpdx375h/input.p',i_0_13) ).

cnf(i_0_14,negated_conjecture,
    environment(esk1_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jpdx375h/input.p',i_0_14) ).

cnf(i_0_12,negated_conjecture,
    ~ greater(disbanding_rate(first_movers,esk2_0),disbanding_rate(efficient_producers,esk2_0)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jpdx375h/input.p',i_0_12) ).

cnf(i_0_1,plain,
    ( ~ environment(X1)
    | ~ subpopulations(first_movers,efficient_producers,X1,X2)
    | ~ decreases(difference(disbanding_rate(first_movers,X2),disbanding_rate(efficient_producers,X2))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jpdx375h/input.p',i_0_1) ).

cnf(i_0_3,plain,
    ( subpopulations(first_movers,efficient_producers,X1,initial_FM_EP(X1))
    | ~ environment(X1)
    | ~ in_environment(X1,initial_FM_EP(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jpdx375h/input.p',i_0_3) ).

cnf(c_0_27,plain,
    ( in_environment(X1,X2)
    | ~ environment(X1)
    | ~ in_environment(X1,X3)
    | ~ greater(X3,X2)
    | ~ greater_or_equal(X2,start_time(X1)) ),
    i_0_7 ).

cnf(c_0_28,plain,
    ( greater_or_equal(initial_FM_EP(X1),start_time(X1))
    | ~ environment(X1) ),
    i_0_6 ).

cnf(c_0_29,plain,
    ( X1 = X2
    | greater(X1,X2)
    | ~ greater_or_equal(X1,X2) ),
    i_0_9 ).

cnf(c_0_30,plain,
    ( greater_or_equal(X1,initial_FM_EP(X2))
    | ~ environment(X2)
    | ~ subpopulations(first_movers,efficient_producers,X2,X1) ),
    i_0_2 ).

cnf(c_0_31,plain,
    ( greater(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1))
    | decreases(difference(disbanding_rate(first_movers,X2),disbanding_rate(efficient_producers,X2)))
    | ~ environment(X3)
    | ~ greater_or_equal(X1,X2)
    | ~ greater_or_equal(X2,X4)
    | ~ subpopulations(first_movers,efficient_producers,X3,X1)
    | ~ greater(disbanding_rate(first_movers,X4),disbanding_rate(efficient_producers,X4)) ),
    i_0_4 ).

cnf(c_0_32,hypothesis,
    ( greater(disbanding_rate(first_movers,initial_FM_EP(X1)),disbanding_rate(efficient_producers,initial_FM_EP(X1)))
    | ~ environment(X1) ),
    i_0_10 ).

cnf(c_0_33,plain,
    ( in_environment(X1,initial_FM_EP(X1))
    | ~ in_environment(X1,X2)
    | ~ greater(X2,initial_FM_EP(X1))
    | ~ environment(X1) ),
    inference(spm,[status(thm)],[c_0_27,c_0_28]) ).

cnf(c_0_34,plain,
    ( X1 = initial_FM_EP(X2)
    | greater(X1,initial_FM_EP(X2))
    | ~ subpopulations(first_movers,efficient_producers,X2,X1)
    | ~ environment(X2) ),
    inference(spm,[status(thm)],[c_0_29,c_0_30]) ).

cnf(c_0_35,plain,
    ( in_environment(X1,X2)
    | ~ environment(X1)
    | ~ subpopulations(first_movers,efficient_producers,X1,X2) ),
    i_0_5 ).

cnf(c_0_36,hypothesis,
    ( decreases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1)))
    | greater(disbanding_rate(first_movers,X2),disbanding_rate(efficient_producers,X2))
    | ~ greater_or_equal(X1,initial_FM_EP(X3))
    | ~ greater_or_equal(X2,X1)
    | ~ subpopulations(first_movers,efficient_producers,X4,X2)
    | ~ environment(X4)
    | ~ environment(X3) ),
    inference(spm,[status(thm)],[c_0_31,c_0_32]) ).

cnf(c_0_37,negated_conjecture,
    subpopulations(first_movers,efficient_producers,esk1_0,esk2_0),
    i_0_13 ).

cnf(c_0_38,negated_conjecture,
    environment(esk1_0),
    i_0_14 ).

cnf(c_0_39,negated_conjecture,
    ~ greater(disbanding_rate(first_movers,esk2_0),disbanding_rate(efficient_producers,esk2_0)),
    i_0_12 ).

cnf(c_0_40,plain,
    ( X1 = initial_FM_EP(X2)
    | in_environment(X2,initial_FM_EP(X2))
    | ~ subpopulations(first_movers,efficient_producers,X2,X1)
    | ~ environment(X2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_35]) ).

cnf(c_0_41,negated_conjecture,
    ( decreases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1)))
    | ~ greater_or_equal(X1,initial_FM_EP(X2))
    | ~ greater_or_equal(esk2_0,X1)
    | ~ environment(X2) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_38])]),c_0_39]) ).

cnf(c_0_42,plain,
    ( ~ environment(X1)
    | ~ subpopulations(first_movers,efficient_producers,X1,X2)
    | ~ decreases(difference(disbanding_rate(first_movers,X2),disbanding_rate(efficient_producers,X2))) ),
    i_0_1 ).

cnf(c_0_43,plain,
    ( subpopulations(first_movers,efficient_producers,X1,initial_FM_EP(X1))
    | ~ environment(X1)
    | ~ in_environment(X1,initial_FM_EP(X1)) ),
    i_0_3 ).

cnf(c_0_44,negated_conjecture,
    ( initial_FM_EP(esk1_0) = esk2_0
    | in_environment(esk1_0,initial_FM_EP(esk1_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_37]),c_0_38])]) ).

cnf(c_0_45,plain,
    ( ~ greater_or_equal(esk2_0,X1)
    | ~ subpopulations(first_movers,efficient_producers,X2,X1)
    | ~ environment(X2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_30]),c_0_42]) ).

cnf(c_0_46,plain,
    ( initial_FM_EP(esk1_0) = esk2_0
    | subpopulations(first_movers,efficient_producers,esk1_0,initial_FM_EP(esk1_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_38])]) ).

cnf(c_0_47,plain,
    ( initial_FM_EP(esk1_0) = esk2_0
    | ~ greater_or_equal(esk2_0,initial_FM_EP(esk1_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_38])]) ).

cnf(c_0_48,plain,
    initial_FM_EP(esk1_0) = esk2_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_30]),c_0_37]),c_0_38])]) ).

cnf(c_0_49,hypothesis,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_48]),c_0_38])]),c_0_39]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : MGT020+1 : TPTP v8.1.0. Released v2.0.0.
% 0.04/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n023.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 12:51:09 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  # ENIGMATIC: Selected complete mode:
% 7.62/2.33  # ENIGMATIC: Solved by autoschedule:
% 7.62/2.33  # No SInE strategy applied
% 7.62/2.33  # Trying AutoSched0 for 150 seconds
% 7.62/2.33  # AutoSched0-Mode selected heuristic G_____0010_evo
% 7.62/2.33  # and selection function SelectMaxLComplexAvoidPosPred.
% 7.62/2.33  #
% 7.62/2.33  # Preprocessing time       : 0.012 s
% 7.62/2.33  
% 7.62/2.33  # Proof found!
% 7.62/2.33  # SZS status Theorem
% 7.62/2.33  # SZS output start CNFRefutation
% See solution above
% 7.62/2.33  # Training examples: 0 positive, 0 negative
% 7.62/2.33  
% 7.62/2.33  # -------------------------------------------------
% 7.62/2.33  # User time                : 0.014 s
% 7.62/2.33  # System time              : 0.006 s
% 7.62/2.33  # Total time               : 0.021 s
% 7.62/2.33  # Maximum resident set size: 7124 pages
% 7.62/2.33  
%------------------------------------------------------------------------------