TSTP Solution File: MGT036+2 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : MGT036+2 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n022.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 22:06:44 EDT 2022

% Result   : Theorem 7.34s 2.28s
% Output   : CNFRefutation 7.34s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   33 (  16 unt;   0 nHn;  30 RR)
%            Number of literals    :   72 (   0 equ;  43 neg)
%            Maximal clause size   :    5 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-4 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :   58 (  11 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_1,plain,
    ( subpopulations(X1,X2,X3,X4)
    | ~ environment(X3)
    | ~ subpopulations(X2,X1,X3,X4) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3e0drrsh/input.p',i_0_1) ).

cnf(i_0_13,negated_conjecture,
    subpopulations(first_movers,efficient_producers,esk1_0,esk2_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3e0drrsh/input.p',i_0_13) ).

cnf(i_0_14,negated_conjecture,
    environment(esk1_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3e0drrsh/input.p',i_0_14) ).

cnf(i_0_7,hypothesis,
    ( greater(zero,growth_rate(X1,X2))
    | ~ environment(X3)
    | ~ outcompetes(X4,X1,X2)
    | ~ subpopulations(X1,X4,X3,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3e0drrsh/input.p',i_0_7) ).

cnf(i_0_12,negated_conjecture,
    outcompetes(first_movers,efficient_producers,esk2_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3e0drrsh/input.p',i_0_12) ).

cnf(i_0_6,plain,
    ( environment(X1)
    | ~ greater(zero,growth_rate(X2,X3)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3e0drrsh/input.p',i_0_6) ).

cnf(i_0_8,hypothesis,
    ( greater_or_equal(growth_rate(X1,X2),zero)
    | ~ environment(X3)
    | ~ outcompetes(X1,X4,X2)
    | ~ subpopulations(X4,X1,X3,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3e0drrsh/input.p',i_0_8) ).

cnf(i_0_11,hypothesis,
    ( greater(zero,growth_rate(X1,X2))
    | ~ environment(X3)
    | ~ in_environment(X3,X2)
    | ~ greater(zero,growth_rate(X4,X2))
    | ~ greater(resilience(X4),resilience(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3e0drrsh/input.p',i_0_11) ).

cnf(i_0_4,plain,
    ( ~ greater(zero,growth_rate(X1,X2))
    | ~ greater_or_equal(growth_rate(X1,X2),zero) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3e0drrsh/input.p',i_0_4) ).

cnf(i_0_2,plain,
    ( in_environment(X1,X2)
    | ~ environment(X1)
    | ~ subpopulations(first_movers,efficient_producers,X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3e0drrsh/input.p',i_0_2) ).

cnf(i_0_10,hypothesis,
    greater(resilience(efficient_producers),resilience(first_movers)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3e0drrsh/input.p',i_0_10) ).

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

cnf(c_0_27,negated_conjecture,
    subpopulations(first_movers,efficient_producers,esk1_0,esk2_0),
    i_0_13 ).

cnf(c_0_28,negated_conjecture,
    environment(esk1_0),
    i_0_14 ).

cnf(c_0_29,hypothesis,
    ( greater(zero,growth_rate(X1,X2))
    | ~ environment(X3)
    | ~ outcompetes(X4,X1,X2)
    | ~ subpopulations(X1,X4,X3,X2) ),
    i_0_7 ).

cnf(c_0_30,negated_conjecture,
    subpopulations(efficient_producers,first_movers,esk1_0,esk2_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28])]) ).

cnf(c_0_31,negated_conjecture,
    outcompetes(first_movers,efficient_producers,esk2_0),
    i_0_12 ).

cnf(c_0_32,plain,
    ( environment(X1)
    | ~ greater(zero,growth_rate(X2,X3)) ),
    i_0_6 ).

cnf(c_0_33,hypothesis,
    greater(zero,growth_rate(efficient_producers,esk2_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31]),c_0_28])]) ).

cnf(c_0_34,hypothesis,
    ( greater_or_equal(growth_rate(X1,X2),zero)
    | ~ environment(X3)
    | ~ outcompetes(X1,X4,X2)
    | ~ subpopulations(X4,X1,X3,X2) ),
    i_0_8 ).

cnf(c_0_35,plain,
    environment(X1),
    inference(spm,[status(thm)],[c_0_32,c_0_33]) ).

cnf(c_0_36,hypothesis,
    ( greater(zero,growth_rate(X1,X2))
    | ~ environment(X3)
    | ~ in_environment(X3,X2)
    | ~ greater(zero,growth_rate(X4,X2))
    | ~ greater(resilience(X4),resilience(X1)) ),
    i_0_11 ).

cnf(c_0_37,hypothesis,
    ( greater_or_equal(growth_rate(X1,X2),zero)
    | ~ subpopulations(X3,X1,X4,X2)
    | ~ outcompetes(X1,X3,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_34,c_0_35])]) ).

cnf(c_0_38,hypothesis,
    ( greater(zero,growth_rate(X1,X2))
    | ~ in_environment(X3,X2)
    | ~ greater(zero,growth_rate(X4,X2))
    | ~ greater(resilience(X4),resilience(X1)) ),
    inference(csr,[status(thm)],[c_0_36,c_0_32]) ).

cnf(c_0_39,plain,
    ( ~ greater(zero,growth_rate(X1,X2))
    | ~ greater_or_equal(growth_rate(X1,X2),zero) ),
    i_0_4 ).

cnf(c_0_40,negated_conjecture,
    greater_or_equal(growth_rate(first_movers,esk2_0),zero),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_30]),c_0_31])]) ).

cnf(c_0_41,plain,
    ( in_environment(X1,X2)
    | ~ environment(X1)
    | ~ subpopulations(first_movers,efficient_producers,X1,X2) ),
    i_0_2 ).

cnf(c_0_42,hypothesis,
    ( greater(zero,growth_rate(X1,esk2_0))
    | ~ in_environment(X2,esk2_0)
    | ~ greater(resilience(efficient_producers),resilience(X1)) ),
    inference(spm,[status(thm)],[c_0_38,c_0_33]) ).

cnf(c_0_43,hypothesis,
    greater(resilience(efficient_producers),resilience(first_movers)),
    i_0_10 ).

cnf(c_0_44,plain,
    ~ greater(zero,growth_rate(first_movers,esk2_0)),
    inference(spm,[status(thm)],[c_0_39,c_0_40]) ).

cnf(c_0_45,negated_conjecture,
    in_environment(esk1_0,esk2_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_27]),c_0_28])]) ).

cnf(c_0_46,hypothesis,
    ~ in_environment(X1,esk2_0),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_44]) ).

cnf(c_0_47,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[c_0_45,c_0_46]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : MGT036+2 : TPTP v8.1.0. Released v2.0.0.
% 0.12/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n022.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 12:16:36 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.45  # ENIGMATIC: Selected complete mode:
% 7.34/2.28  # ENIGMATIC: Solved by autoschedule:
% 7.34/2.28  # No SInE strategy applied
% 7.34/2.28  # Trying AutoSched0 for 150 seconds
% 7.34/2.28  # AutoSched0-Mode selected heuristic G_E___107_B00_00_F1_PI_AE_Q4_CS_SP_PS_S033N
% 7.34/2.28  # and selection function PSelectUnlessUniqMax.
% 7.34/2.28  #
% 7.34/2.28  # Preprocessing time       : 0.013 s
% 7.34/2.28  # Presaturation interreduction done
% 7.34/2.28  
% 7.34/2.28  # Proof found!
% 7.34/2.28  # SZS status Theorem
% 7.34/2.28  # SZS output start CNFRefutation
% See solution above
% 7.34/2.28  # Training examples: 0 positive, 0 negative
% 7.34/2.28  
% 7.34/2.28  # -------------------------------------------------
% 7.34/2.28  # User time                : 0.015 s
% 7.34/2.28  # System time              : 0.004 s
% 7.34/2.28  # Total time               : 0.019 s
% 7.34/2.28  # Maximum resident set size: 7124 pages
% 7.34/2.28  
%------------------------------------------------------------------------------