TSTP Solution File: MGT039+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : MGT039+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 22:06:45 EDT 2022

% Result   : Theorem 6.80s 2.20s
% Output   : CNFRefutation 6.80s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   18
% Syntax   : Number of clauses     :   57 (  12 unt;  22 nHn;  56 RR)
%            Number of literals    :  186 (  11 equ; 105 neg)
%            Maximal clause size   :    6 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   10 (   8 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   3 con; 0-2 aty)
%            Number of variables   :   69 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_2,plain,
    ( in_environment(X1,esk1_1(X1))
    | selection_favors(efficient_producers,first_movers,X1)
    | ~ observational_period(X1)
    | ~ propagation_strategy(first_movers)
    | ~ propagation_strategy(efficient_producers) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fq0mp_d0/input.p',i_0_2) ).

cnf(i_0_6,plain,
    propagation_strategy(first_movers),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fq0mp_d0/input.p',i_0_6) ).

cnf(i_0_7,plain,
    propagation_strategy(efficient_producers),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fq0mp_d0/input.p',i_0_7) ).

cnf(i_0_3,plain,
    ( environment(esk1_1(X1))
    | selection_favors(efficient_producers,first_movers,X1)
    | ~ observational_period(X1)
    | ~ propagation_strategy(first_movers)
    | ~ propagation_strategy(efficient_producers) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fq0mp_d0/input.p',i_0_3) ).

cnf(i_0_5,plain,
    ( in_environment(X1,esk2_2(X2,X1))
    | ~ observational_period(X2)
    | ~ environment(X1)
    | ~ slow_change(X2)
    | ~ in_environment(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fq0mp_d0/input.p',i_0_5) ).

cnf(i_0_4,plain,
    ( greater(esk2_2(X1,X2),critical_point(X2))
    | ~ observational_period(X1)
    | ~ environment(X2)
    | ~ slow_change(X1)
    | ~ in_environment(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fq0mp_d0/input.p',i_0_4) ).

cnf(i_0_9,plain,
    ( greater_or_equal(end_time(X1),X2)
    | ~ environment(X1)
    | ~ in_environment(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fq0mp_d0/input.p',i_0_9) ).

cnf(i_0_11,plain,
    ( greater(X1,X2)
    | ~ greater(X3,X2)
    | ~ greater(X1,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fq0mp_d0/input.p',i_0_11) ).

cnf(i_0_14,plain,
    ( X1 = X2
    | greater(X1,X2)
    | ~ greater_or_equal(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fq0mp_d0/input.p',i_0_14) ).

cnf(i_0_10,plain,
    ( greater_or_equal(critical_point(X1),start_time(X1))
    | ~ environment(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fq0mp_d0/input.p',i_0_10) ).

cnf(i_0_1,plain,
    ( selection_favors(efficient_producers,first_movers,X1)
    | ~ observational_period(X1)
    | ~ propagation_strategy(first_movers)
    | ~ propagation_strategy(efficient_producers)
    | ~ selection_favors(efficient_producers,first_movers,end_time(esk1_1(X1))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fq0mp_d0/input.p',i_0_1) ).

cnf(i_0_13,plain,
    ( greater_or_equal(X1,X2)
    | ~ greater(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fq0mp_d0/input.p',i_0_13) ).

cnf(i_0_12,plain,
    ( greater_or_equal(X1,X2)
    | X1 != X2 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fq0mp_d0/input.p',i_0_12) ).

cnf(i_0_16,hypothesis,
    ( selection_favors(efficient_producers,first_movers,X1)
    | ~ environment(X2)
    | ~ in_environment(X2,X1)
    | ~ greater(X1,critical_point(X2)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fq0mp_d0/input.p',i_0_16) ).

cnf(i_0_8,plain,
    ( in_environment(X1,X2)
    | ~ environment(X1)
    | ~ greater_or_equal(X2,start_time(X1))
    | ~ greater_or_equal(end_time(X1),X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fq0mp_d0/input.p',i_0_8) ).

cnf(i_0_18,negated_conjecture,
    slow_change(esk3_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fq0mp_d0/input.p',i_0_18) ).

cnf(i_0_19,negated_conjecture,
    observational_period(esk3_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fq0mp_d0/input.p',i_0_19) ).

cnf(i_0_17,negated_conjecture,
    ~ selection_favors(efficient_producers,first_movers,esk3_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fq0mp_d0/input.p',i_0_17) ).

cnf(c_0_38,plain,
    ( in_environment(X1,esk1_1(X1))
    | selection_favors(efficient_producers,first_movers,X1)
    | ~ observational_period(X1)
    | ~ propagation_strategy(first_movers)
    | ~ propagation_strategy(efficient_producers) ),
    i_0_2 ).

cnf(c_0_39,plain,
    propagation_strategy(first_movers),
    i_0_6 ).

cnf(c_0_40,plain,
    propagation_strategy(efficient_producers),
    i_0_7 ).

cnf(c_0_41,plain,
    ( environment(esk1_1(X1))
    | selection_favors(efficient_producers,first_movers,X1)
    | ~ observational_period(X1)
    | ~ propagation_strategy(first_movers)
    | ~ propagation_strategy(efficient_producers) ),
    i_0_3 ).

cnf(c_0_42,plain,
    ( in_environment(X1,esk2_2(X2,X1))
    | ~ observational_period(X2)
    | ~ environment(X1)
    | ~ slow_change(X2)
    | ~ in_environment(X2,X1) ),
    i_0_5 ).

cnf(c_0_43,plain,
    ( in_environment(X1,esk1_1(X1))
    | selection_favors(efficient_producers,first_movers,X1)
    | ~ observational_period(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_38,c_0_39]),c_0_40])]) ).

cnf(c_0_44,plain,
    ( environment(esk1_1(X1))
    | selection_favors(efficient_producers,first_movers,X1)
    | ~ observational_period(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_41,c_0_39]),c_0_40])]) ).

cnf(c_0_45,plain,
    ( greater(esk2_2(X1,X2),critical_point(X2))
    | ~ observational_period(X1)
    | ~ environment(X2)
    | ~ slow_change(X1)
    | ~ in_environment(X1,X2) ),
    i_0_4 ).

cnf(c_0_46,plain,
    ( greater_or_equal(end_time(X1),X2)
    | ~ environment(X1)
    | ~ in_environment(X1,X2) ),
    i_0_9 ).

cnf(c_0_47,plain,
    ( in_environment(esk1_1(X1),esk2_2(X1,esk1_1(X1)))
    | selection_favors(efficient_producers,first_movers,X1)
    | ~ slow_change(X1)
    | ~ observational_period(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_44]) ).

cnf(c_0_48,plain,
    ( greater(X1,X2)
    | ~ greater(X3,X2)
    | ~ greater(X1,X3) ),
    i_0_11 ).

cnf(c_0_49,plain,
    ( greater(esk2_2(X1,esk1_1(X1)),critical_point(esk1_1(X1)))
    | selection_favors(efficient_producers,first_movers,X1)
    | ~ slow_change(X1)
    | ~ observational_period(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_43]),c_0_44]) ).

cnf(c_0_50,plain,
    ( X1 = X2
    | greater(X1,X2)
    | ~ greater_or_equal(X1,X2) ),
    i_0_14 ).

cnf(c_0_51,plain,
    ( greater_or_equal(end_time(esk1_1(X1)),esk2_2(X1,esk1_1(X1)))
    | selection_favors(efficient_producers,first_movers,X1)
    | ~ slow_change(X1)
    | ~ observational_period(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_44]) ).

cnf(c_0_52,plain,
    ( greater_or_equal(critical_point(X1),start_time(X1))
    | ~ environment(X1) ),
    i_0_10 ).

cnf(c_0_53,plain,
    ( greater(X1,critical_point(esk1_1(X2)))
    | selection_favors(efficient_producers,first_movers,X2)
    | ~ greater(X1,esk2_2(X2,esk1_1(X2)))
    | ~ slow_change(X2)
    | ~ observational_period(X2) ),
    inference(spm,[status(thm)],[c_0_48,c_0_49]) ).

cnf(c_0_54,plain,
    ( esk2_2(X1,esk1_1(X1)) = end_time(esk1_1(X1))
    | greater(end_time(esk1_1(X1)),esk2_2(X1,esk1_1(X1)))
    | selection_favors(efficient_producers,first_movers,X1)
    | ~ slow_change(X1)
    | ~ observational_period(X1) ),
    inference(spm,[status(thm)],[c_0_50,c_0_51]) ).

cnf(c_0_55,plain,
    ( start_time(X1) = critical_point(X1)
    | greater(critical_point(X1),start_time(X1))
    | ~ environment(X1) ),
    inference(spm,[status(thm)],[c_0_50,c_0_52]) ).

cnf(c_0_56,plain,
    ( esk2_2(X1,esk1_1(X1)) = end_time(esk1_1(X1))
    | greater(end_time(esk1_1(X1)),critical_point(esk1_1(X1)))
    | selection_favors(efficient_producers,first_movers,X1)
    | ~ slow_change(X1)
    | ~ observational_period(X1) ),
    inference(spm,[status(thm)],[c_0_53,c_0_54]) ).

cnf(c_0_57,plain,
    ( start_time(X1) = critical_point(X1)
    | greater(X2,start_time(X1))
    | ~ greater(X2,critical_point(X1))
    | ~ environment(X1) ),
    inference(spm,[status(thm)],[c_0_48,c_0_55]) ).

cnf(c_0_58,plain,
    ( greater(end_time(esk1_1(X1)),critical_point(esk1_1(X1)))
    | selection_favors(efficient_producers,first_movers,X1)
    | ~ slow_change(X1)
    | ~ observational_period(X1) ),
    inference(spm,[status(thm)],[c_0_49,c_0_56]) ).

cnf(c_0_59,plain,
    ( selection_favors(efficient_producers,first_movers,X1)
    | ~ observational_period(X1)
    | ~ propagation_strategy(first_movers)
    | ~ propagation_strategy(efficient_producers)
    | ~ selection_favors(efficient_producers,first_movers,end_time(esk1_1(X1))) ),
    i_0_1 ).

cnf(c_0_60,plain,
    ( greater_or_equal(X1,X2)
    | ~ greater(X1,X2) ),
    i_0_13 ).

cnf(c_0_61,plain,
    ( start_time(esk1_1(X1)) = critical_point(esk1_1(X1))
    | greater(end_time(esk1_1(X1)),start_time(esk1_1(X1)))
    | selection_favors(efficient_producers,first_movers,X1)
    | ~ slow_change(X1)
    | ~ observational_period(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_44]) ).

cnf(c_0_62,plain,
    ( greater_or_equal(X1,X2)
    | X1 != X2 ),
    i_0_12 ).

cnf(c_0_63,hypothesis,
    ( selection_favors(efficient_producers,first_movers,X1)
    | ~ environment(X2)
    | ~ in_environment(X2,X1)
    | ~ greater(X1,critical_point(X2)) ),
    i_0_16 ).

cnf(c_0_64,plain,
    ( selection_favors(efficient_producers,first_movers,X1)
    | ~ selection_favors(efficient_producers,first_movers,end_time(esk1_1(X1)))
    | ~ observational_period(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_59,c_0_39]),c_0_40])]) ).

cnf(c_0_65,plain,
    ( in_environment(X1,X2)
    | ~ environment(X1)
    | ~ greater_or_equal(X2,start_time(X1))
    | ~ greater_or_equal(end_time(X1),X2) ),
    i_0_8 ).

cnf(c_0_66,plain,
    ( start_time(esk1_1(X1)) = critical_point(esk1_1(X1))
    | greater_or_equal(end_time(esk1_1(X1)),start_time(esk1_1(X1)))
    | selection_favors(efficient_producers,first_movers,X1)
    | ~ slow_change(X1)
    | ~ observational_period(X1) ),
    inference(spm,[status(thm)],[c_0_60,c_0_61]) ).

cnf(c_0_67,plain,
    greater_or_equal(X1,X1),
    inference(er,[status(thm)],[c_0_62]) ).

cnf(c_0_68,hypothesis,
    ( selection_favors(efficient_producers,first_movers,X1)
    | ~ in_environment(esk1_1(X1),end_time(esk1_1(X1)))
    | ~ slow_change(X1)
    | ~ observational_period(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_58]),c_0_44]),c_0_64]) ).

cnf(c_0_69,plain,
    ( start_time(esk1_1(X1)) = critical_point(esk1_1(X1))
    | selection_favors(efficient_producers,first_movers,X1)
    | ~ slow_change(X1)
    | ~ observational_period(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_67])]),c_0_44]),c_0_68]) ).

cnf(c_0_70,plain,
    ( in_environment(esk1_1(X1),X2)
    | selection_favors(efficient_producers,first_movers,X1)
    | ~ greater_or_equal(X2,critical_point(esk1_1(X1)))
    | ~ greater_or_equal(end_time(esk1_1(X1)),X2)
    | ~ slow_change(X1)
    | ~ observational_period(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_69]),c_0_44]) ).

cnf(c_0_71,plain,
    ( greater_or_equal(end_time(esk1_1(X1)),critical_point(esk1_1(X1)))
    | selection_favors(efficient_producers,first_movers,X1)
    | ~ slow_change(X1)
    | ~ observational_period(X1) ),
    inference(spm,[status(thm)],[c_0_60,c_0_58]) ).

cnf(c_0_72,plain,
    ( selection_favors(efficient_producers,first_movers,X1)
    | ~ slow_change(X1)
    | ~ observational_period(X1) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_67])]),c_0_68]) ).

cnf(c_0_73,negated_conjecture,
    slow_change(esk3_0),
    i_0_18 ).

cnf(c_0_74,negated_conjecture,
    observational_period(esk3_0),
    i_0_19 ).

cnf(c_0_75,negated_conjecture,
    ~ selection_favors(efficient_producers,first_movers,esk3_0),
    i_0_17 ).

cnf(c_0_76,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_74])]),c_0_75]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : MGT039+1 : TPTP v8.1.0. Released v2.0.0.
% 0.06/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n026.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 08:08:04 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.43  # ENIGMATIC: Selected complete mode:
% 6.80/2.20  # ENIGMATIC: Solved by autoschedule:
% 6.80/2.20  # No SInE strategy applied
% 6.80/2.20  # Trying AutoSched0 for 150 seconds
% 6.80/2.20  # AutoSched0-Mode selected heuristic G_E___024_B31_F1_PI_AE_Q4_CS_SP_S2S
% 6.80/2.20  # and selection function SelectNewComplexAHP.
% 6.80/2.20  #
% 6.80/2.20  # Preprocessing time       : 0.012 s
% 6.80/2.20  
% 6.80/2.20  # Proof found!
% 6.80/2.20  # SZS status Theorem
% 6.80/2.20  # SZS output start CNFRefutation
% See solution above
% 6.80/2.20  # Training examples: 0 positive, 0 negative
% 6.80/2.20  
% 6.80/2.20  # -------------------------------------------------
% 6.80/2.20  # User time                : 0.013 s
% 6.80/2.20  # System time              : 0.006 s
% 6.80/2.20  # Total time               : 0.019 s
% 6.80/2.20  # Maximum resident set size: 7120 pages
% 6.80/2.20  
%------------------------------------------------------------------------------