TSTP Solution File: MGT022+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : MGT022+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n026.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 7.40s 2.22s
% Output   : CNFRefutation 7.40s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   27 (  10 unt;   4 nHn;  27 RR)
%            Number of literals    :   60 (   0 equ;  32 neg)
%            Maximal clause size   :    5 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-4 aty)
%            Number of functors    :    8 (   8 usr;   4 con; 0-2 aty)
%            Number of variables   :   22 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_2,hypothesis,
    ( constant(difference(disbanding_rate(X1,X2),disbanding_rate(X3,X2)))
    | ~ environment(X4)
    | ~ constant(resources(X4,X2))
    | ~ subpopulations(X1,X3,X4,X2)
    | ~ greater(resilience(X3),resilience(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vvw17mp4/lgb.p',i_0_2) ).

cnf(i_0_4,hypothesis,
    greater(resilience(efficient_producers),resilience(first_movers)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vvw17mp4/lgb.p',i_0_4) ).

cnf(i_0_1,plain,
    ( ~ constant(X1)
    | ~ decreases(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vvw17mp4/lgb.p',i_0_1) ).

cnf(i_0_7,negated_conjecture,
    ( decreases(resources(esk1_0,esk2_0))
    | decreases(difference(disbanding_rate(first_movers,esk2_0),disbanding_rate(efficient_producers,esk2_0))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vvw17mp4/lgb.p',i_0_7) ).

cnf(i_0_9,negated_conjecture,
    subpopulations(first_movers,efficient_producers,esk1_0,esk2_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vvw17mp4/lgb.p',i_0_9) ).

cnf(i_0_10,negated_conjecture,
    environment(esk1_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vvw17mp4/lgb.p',i_0_10) ).

cnf(i_0_3,hypothesis,
    ( increases(difference(disbanding_rate(X1,X2),disbanding_rate(X3,X2)))
    | ~ environment(X4)
    | ~ decreases(resources(X4,X2))
    | ~ subpopulations(X1,X3,X4,X2)
    | ~ greater(resilience(X3),resilience(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vvw17mp4/lgb.p',i_0_3) ).

cnf(i_0_8,negated_conjecture,
    ( constant(resources(esk1_0,esk2_0))
    | decreases(resources(esk1_0,esk2_0)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vvw17mp4/lgb.p',i_0_8) ).

cnf(i_0_6,negated_conjecture,
    ( constant(resources(esk1_0,esk2_0))
    | ~ increases(difference(disbanding_rate(first_movers,esk2_0),disbanding_rate(efficient_producers,esk2_0))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vvw17mp4/lgb.p',i_0_6) ).

cnf(c_0_20,hypothesis,
    ( constant(difference(disbanding_rate(X1,X2),disbanding_rate(X3,X2)))
    | ~ environment(X4)
    | ~ constant(resources(X4,X2))
    | ~ subpopulations(X1,X3,X4,X2)
    | ~ greater(resilience(X3),resilience(X1)) ),
    i_0_2 ).

cnf(c_0_21,hypothesis,
    greater(resilience(efficient_producers),resilience(first_movers)),
    i_0_4 ).

cnf(c_0_22,plain,
    ( ~ constant(X1)
    | ~ decreases(X1) ),
    i_0_1 ).

cnf(c_0_23,negated_conjecture,
    ( decreases(resources(esk1_0,esk2_0))
    | decreases(difference(disbanding_rate(first_movers,esk2_0),disbanding_rate(efficient_producers,esk2_0))) ),
    i_0_7 ).

cnf(c_0_24,hypothesis,
    ( constant(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1)))
    | ~ environment(X2)
    | ~ subpopulations(first_movers,efficient_producers,X2,X1)
    | ~ constant(resources(X2,X1)) ),
    inference(spm,[status(thm)],[c_0_20,c_0_21]) ).

cnf(c_0_25,negated_conjecture,
    subpopulations(first_movers,efficient_producers,esk1_0,esk2_0),
    i_0_9 ).

cnf(c_0_26,negated_conjecture,
    environment(esk1_0),
    i_0_10 ).

cnf(c_0_27,plain,
    ( decreases(resources(esk1_0,esk2_0))
    | ~ constant(difference(disbanding_rate(first_movers,esk2_0),disbanding_rate(efficient_producers,esk2_0))) ),
    inference(spm,[status(thm)],[c_0_22,c_0_23]) ).

cnf(c_0_28,negated_conjecture,
    ( constant(difference(disbanding_rate(first_movers,esk2_0),disbanding_rate(efficient_producers,esk2_0)))
    | ~ constant(resources(esk1_0,esk2_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26])]) ).

cnf(c_0_29,hypothesis,
    ( increases(difference(disbanding_rate(X1,X2),disbanding_rate(X3,X2)))
    | ~ environment(X4)
    | ~ decreases(resources(X4,X2))
    | ~ subpopulations(X1,X3,X4,X2)
    | ~ greater(resilience(X3),resilience(X1)) ),
    i_0_3 ).

cnf(c_0_30,plain,
    ( decreases(resources(esk1_0,esk2_0))
    | ~ constant(resources(esk1_0,esk2_0)) ),
    inference(spm,[status(thm)],[c_0_27,c_0_28]) ).

cnf(c_0_31,negated_conjecture,
    ( constant(resources(esk1_0,esk2_0))
    | decreases(resources(esk1_0,esk2_0)) ),
    i_0_8 ).

cnf(c_0_32,hypothesis,
    ( increases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1)))
    | ~ environment(X2)
    | ~ subpopulations(first_movers,efficient_producers,X2,X1)
    | ~ decreases(resources(X2,X1)) ),
    inference(spm,[status(thm)],[c_0_29,c_0_21]) ).

cnf(c_0_33,negated_conjecture,
    decreases(resources(esk1_0,esk2_0)),
    inference(spm,[status(thm)],[c_0_30,c_0_31]) ).

cnf(c_0_34,negated_conjecture,
    ( constant(resources(esk1_0,esk2_0))
    | ~ increases(difference(disbanding_rate(first_movers,esk2_0),disbanding_rate(efficient_producers,esk2_0))) ),
    i_0_6 ).

cnf(c_0_35,negated_conjecture,
    increases(difference(disbanding_rate(first_movers,esk2_0),disbanding_rate(efficient_producers,esk2_0))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_25]),c_0_26]),c_0_33])]) ).

cnf(c_0_36,plain,
    ~ constant(resources(esk1_0,esk2_0)),
    inference(spm,[status(thm)],[c_0_22,c_0_33]) ).

cnf(c_0_37,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_34,c_0_35])]),c_0_36]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : MGT022+1 : TPTP v8.1.0. Released v2.0.0.
% 0.10/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.33  % Computer : n026.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Thu Jun  9 11:41:34 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.45  # ENIGMATIC: Selected complete mode:
% 7.40/2.22  # ENIGMATIC: Solved by autoschedule-lgb:
% 7.40/2.22  # No SInE strategy applied
% 7.40/2.22  # Trying AutoSched0 for 150 seconds
% 7.40/2.22  # AutoSched0-Mode selected heuristic H_____011_C07_F1_PI_AE_Q4_SP_S0V
% 7.40/2.22  # and selection function PSelectComplexExceptRRHorn.
% 7.40/2.22  #
% 7.40/2.22  # Preprocessing time       : 0.023 s
% 7.40/2.22  
% 7.40/2.22  # Proof found!
% 7.40/2.22  # SZS status Theorem
% 7.40/2.22  # SZS output start CNFRefutation
% See solution above
% 7.40/2.22  # Training examples: 0 positive, 0 negative
% 7.40/2.22  
% 7.40/2.22  # -------------------------------------------------
% 7.40/2.22  # User time                : 0.026 s
% 7.40/2.22  # System time              : 0.004 s
% 7.40/2.22  # Total time               : 0.030 s
% 7.40/2.22  # Maximum resident set size: 7128 pages
% 7.40/2.22  
%------------------------------------------------------------------------------