TSTP Solution File: MGT065+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : MGT065+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n018.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 22:06:53 EDT 2022

% Result   : Theorem 7.34s 2.37s
% Output   : CNFRefutation 7.34s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   22
% Syntax   : Number of clauses     :   73 (  36 unt;  16 nHn;  71 RR)
%            Number of literals    :  142 (  30 equ;  56 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   11 (   9 usr;   1 prp; 0-2 aty)
%            Number of functors    :   13 (  13 usr;  11 con; 0-2 aty)
%            Number of variables   :   48 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_26,plain,
    ( smaller(X1,X2)
    | ~ greater(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-55howovl/lgb.p',i_0_26) ).

cnf(i_0_41,negated_conjecture,
    greater(eta,zero),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-55howovl/lgb.p',i_0_41) ).

cnf(i_0_29,plain,
    ( smaller_or_equal(X1,X2)
    | ~ smaller(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-55howovl/lgb.p',i_0_29) ).

cnf(i_0_16,plain,
    ( has_immunity(X1,X2)
    | ~ has_endowment(X1)
    | ~ smaller_or_equal(age(X1,X2),eta) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-55howovl/lgb.p',i_0_16) ).

cnf(i_0_44,negated_conjecture,
    age(esk3_0,esk4_0) = zero,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-55howovl/lgb.p',i_0_44) ).

cnf(i_0_45,negated_conjecture,
    has_endowment(esk3_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-55howovl/lgb.p',i_0_45) ).

cnf(i_0_15,plain,
    ( ~ has_endowment(X1)
    | ~ has_immunity(X1,X2)
    | ~ greater(age(X1,X2),eta) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-55howovl/lgb.p',i_0_15) ).

cnf(i_0_35,negated_conjecture,
    greater(age(esk3_0,esk6_0),eta),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-55howovl/lgb.p',i_0_35) ).

cnf(i_0_5,plain,
    ( hazard_of_mortality(X1,X2) = very_low
    | ~ organization(X1)
    | ~ has_immunity(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-55howovl/lgb.p',i_0_5) ).

cnf(i_0_47,negated_conjecture,
    organization(esk3_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-55howovl/lgb.p',i_0_47) ).

cnf(i_0_38,negated_conjecture,
    smaller_or_equal(age(esk3_0,esk5_0),eta),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-55howovl/lgb.p',i_0_38) ).

cnf(i_0_4,plain,
    ( has_immunity(X1,X2)
    | epred1_2(X2,X1)
    | ~ organization(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-55howovl/lgb.p',i_0_4) ).

cnf(i_0_34,negated_conjecture,
    ( hazard_of_mortality(esk3_0,esk5_0) != hazard_of_mortality(esk3_0,esk4_0)
    | ~ greater(hazard_of_mortality(esk3_0,esk6_0),hazard_of_mortality(esk3_0,esk5_0)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-55howovl/lgb.p',i_0_34) ).

cnf(i_0_50,plain,
    ( hazard_of_mortality(X1,X2) = mod1
    | is_aligned(X1,X2)
    | ~ positional_advantage(X1,X2)
    | ~ epred1_2(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-55howovl/lgb.p',i_0_50) ).

cnf(i_0_48,plain,
    ( hazard_of_mortality(X1,X2) = high
    | is_aligned(X1,X2)
    | positional_advantage(X1,X2)
    | ~ epred1_2(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-55howovl/lgb.p',i_0_48) ).

cnf(i_0_33,plain,
    ( greater(X1,X2)
    | ~ greater(X3,X2)
    | ~ greater(X1,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-55howovl/lgb.p',i_0_33) ).

cnf(i_0_10,plain,
    greater(mod2,low),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-55howovl/lgb.p',i_0_10) ).

cnf(i_0_8,plain,
    greater(low,very_low),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-55howovl/lgb.p',i_0_8) ).

cnf(i_0_9,plain,
    greater(high,mod2),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-55howovl/lgb.p',i_0_9) ).

cnf(i_0_7,plain,
    greater(mod1,low),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-55howovl/lgb.p',i_0_7) ).

cnf(i_0_51,plain,
    ( hazard_of_mortality(X1,X2) = low
    | ~ is_aligned(X1,X2)
    | ~ positional_advantage(X1,X2)
    | ~ epred1_2(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-55howovl/lgb.p',i_0_51) ).

cnf(i_0_49,plain,
    ( hazard_of_mortality(X1,X2) = mod2
    | positional_advantage(X1,X2)
    | ~ is_aligned(X1,X2)
    | ~ epred1_2(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-55howovl/lgb.p',i_0_49) ).

cnf(c_0_74,plain,
    ( smaller(X1,X2)
    | ~ greater(X2,X1) ),
    i_0_26 ).

cnf(c_0_75,negated_conjecture,
    greater(eta,zero),
    i_0_41 ).

cnf(c_0_76,plain,
    ( smaller_or_equal(X1,X2)
    | ~ smaller(X1,X2) ),
    i_0_29 ).

cnf(c_0_77,negated_conjecture,
    smaller(zero,eta),
    inference(spm,[status(thm)],[c_0_74,c_0_75]) ).

cnf(c_0_78,plain,
    ( has_immunity(X1,X2)
    | ~ has_endowment(X1)
    | ~ smaller_or_equal(age(X1,X2),eta) ),
    i_0_16 ).

cnf(c_0_79,negated_conjecture,
    age(esk3_0,esk4_0) = zero,
    i_0_44 ).

cnf(c_0_80,plain,
    smaller_or_equal(zero,eta),
    inference(spm,[status(thm)],[c_0_76,c_0_77]) ).

cnf(c_0_81,negated_conjecture,
    has_endowment(esk3_0),
    i_0_45 ).

cnf(c_0_82,plain,
    ( ~ has_endowment(X1)
    | ~ has_immunity(X1,X2)
    | ~ greater(age(X1,X2),eta) ),
    i_0_15 ).

cnf(c_0_83,negated_conjecture,
    greater(age(esk3_0,esk6_0),eta),
    i_0_35 ).

cnf(c_0_84,plain,
    ( hazard_of_mortality(X1,X2) = very_low
    | ~ organization(X1)
    | ~ has_immunity(X1,X2) ),
    i_0_5 ).

cnf(c_0_85,negated_conjecture,
    has_immunity(esk3_0,esk4_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_80]),c_0_81])]) ).

cnf(c_0_86,negated_conjecture,
    organization(esk3_0),
    i_0_47 ).

cnf(c_0_87,negated_conjecture,
    smaller_or_equal(age(esk3_0,esk5_0),eta),
    i_0_38 ).

cnf(c_0_88,negated_conjecture,
    ~ has_immunity(esk3_0,esk6_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_81])]) ).

cnf(c_0_89,plain,
    ( has_immunity(X1,X2)
    | epred1_2(X2,X1)
    | ~ organization(X1) ),
    i_0_4 ).

cnf(c_0_90,negated_conjecture,
    ( hazard_of_mortality(esk3_0,esk5_0) != hazard_of_mortality(esk3_0,esk4_0)
    | ~ greater(hazard_of_mortality(esk3_0,esk6_0),hazard_of_mortality(esk3_0,esk5_0)) ),
    i_0_34 ).

cnf(c_0_91,plain,
    hazard_of_mortality(esk3_0,esk4_0) = very_low,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_86])]) ).

cnf(c_0_92,negated_conjecture,
    has_immunity(esk3_0,esk5_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_87]),c_0_81])]) ).

cnf(c_0_93,plain,
    ( hazard_of_mortality(X1,X2) = mod1
    | is_aligned(X1,X2)
    | ~ positional_advantage(X1,X2)
    | ~ epred1_2(X2,X1) ),
    i_0_50 ).

cnf(c_0_94,negated_conjecture,
    epred1_2(esk6_0,esk3_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_89]),c_0_86])]) ).

cnf(c_0_95,plain,
    ( hazard_of_mortality(X1,X2) = high
    | is_aligned(X1,X2)
    | positional_advantage(X1,X2)
    | ~ epred1_2(X2,X1) ),
    i_0_48 ).

cnf(c_0_96,plain,
    ( greater(X1,X2)
    | ~ greater(X3,X2)
    | ~ greater(X1,X3) ),
    i_0_33 ).

cnf(c_0_97,plain,
    greater(mod2,low),
    i_0_10 ).

cnf(c_0_98,negated_conjecture,
    ( hazard_of_mortality(esk3_0,esk5_0) != very_low
    | ~ greater(hazard_of_mortality(esk3_0,esk6_0),hazard_of_mortality(esk3_0,esk5_0)) ),
    inference(rw,[status(thm)],[c_0_90,c_0_91]) ).

cnf(c_0_99,plain,
    hazard_of_mortality(esk3_0,esk5_0) = very_low,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_92]),c_0_86])]) ).

cnf(c_0_100,negated_conjecture,
    ( hazard_of_mortality(esk3_0,esk6_0) = mod1
    | is_aligned(esk3_0,esk6_0)
    | ~ positional_advantage(esk3_0,esk6_0) ),
    inference(spm,[status(thm)],[c_0_93,c_0_94]) ).

cnf(c_0_101,negated_conjecture,
    ( hazard_of_mortality(esk3_0,esk6_0) = high
    | positional_advantage(esk3_0,esk6_0)
    | is_aligned(esk3_0,esk6_0) ),
    inference(spm,[status(thm)],[c_0_95,c_0_94]) ).

cnf(c_0_102,plain,
    greater(low,very_low),
    i_0_8 ).

cnf(c_0_103,plain,
    ( greater(X1,low)
    | ~ greater(X1,mod2) ),
    inference(spm,[status(thm)],[c_0_96,c_0_97]) ).

cnf(c_0_104,plain,
    greater(high,mod2),
    i_0_9 ).

cnf(c_0_105,negated_conjecture,
    ~ greater(hazard_of_mortality(esk3_0,esk6_0),very_low),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_98,c_0_99]),c_0_99])]) ).

cnf(c_0_106,negated_conjecture,
    ( hazard_of_mortality(esk3_0,esk6_0) = high
    | hazard_of_mortality(esk3_0,esk6_0) = mod1
    | is_aligned(esk3_0,esk6_0) ),
    inference(spm,[status(thm)],[c_0_100,c_0_101]) ).

cnf(c_0_107,plain,
    ( greater(X1,very_low)
    | ~ greater(X1,low) ),
    inference(spm,[status(thm)],[c_0_96,c_0_102]) ).

cnf(c_0_108,plain,
    greater(high,low),
    inference(spm,[status(thm)],[c_0_103,c_0_104]) ).

cnf(c_0_109,negated_conjecture,
    ( hazard_of_mortality(esk3_0,esk6_0) = mod1
    | is_aligned(esk3_0,esk6_0)
    | ~ greater(high,very_low) ),
    inference(spm,[status(thm)],[c_0_105,c_0_106]) ).

cnf(c_0_110,plain,
    greater(high,very_low),
    inference(spm,[status(thm)],[c_0_107,c_0_108]) ).

cnf(c_0_111,plain,
    greater(mod1,low),
    i_0_7 ).

cnf(c_0_112,plain,
    ( hazard_of_mortality(X1,X2) = low
    | ~ is_aligned(X1,X2)
    | ~ positional_advantage(X1,X2)
    | ~ epred1_2(X2,X1) ),
    i_0_51 ).

cnf(c_0_113,negated_conjecture,
    ( hazard_of_mortality(esk3_0,esk6_0) = mod1
    | is_aligned(esk3_0,esk6_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_109,c_0_110])]) ).

cnf(c_0_114,plain,
    greater(mod1,very_low),
    inference(spm,[status(thm)],[c_0_107,c_0_111]) ).

cnf(c_0_115,plain,
    ( hazard_of_mortality(X1,X2) = mod2
    | positional_advantage(X1,X2)
    | ~ is_aligned(X1,X2)
    | ~ epred1_2(X2,X1) ),
    i_0_49 ).

cnf(c_0_116,negated_conjecture,
    ( hazard_of_mortality(esk3_0,esk6_0) = low
    | ~ positional_advantage(esk3_0,esk6_0)
    | ~ is_aligned(esk3_0,esk6_0) ),
    inference(spm,[status(thm)],[c_0_112,c_0_94]) ).

cnf(c_0_117,negated_conjecture,
    is_aligned(esk3_0,esk6_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_113]),c_0_114])]) ).

cnf(c_0_118,negated_conjecture,
    ( hazard_of_mortality(esk3_0,esk6_0) = mod2
    | positional_advantage(esk3_0,esk6_0)
    | ~ is_aligned(esk3_0,esk6_0) ),
    inference(spm,[status(thm)],[c_0_115,c_0_94]) ).

cnf(c_0_119,negated_conjecture,
    ( hazard_of_mortality(esk3_0,esk6_0) = low
    | ~ positional_advantage(esk3_0,esk6_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_116,c_0_117])]) ).

cnf(c_0_120,negated_conjecture,
    ( hazard_of_mortality(esk3_0,esk6_0) = mod2
    | positional_advantage(esk3_0,esk6_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_118,c_0_117])]) ).

cnf(c_0_121,negated_conjecture,
    ( hazard_of_mortality(esk3_0,esk6_0) = mod2
    | hazard_of_mortality(esk3_0,esk6_0) = low ),
    inference(spm,[status(thm)],[c_0_119,c_0_120]) ).

cnf(c_0_122,plain,
    greater(mod2,very_low),
    inference(spm,[status(thm)],[c_0_107,c_0_97]) ).

cnf(c_0_123,negated_conjecture,
    hazard_of_mortality(esk3_0,esk6_0) = low,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_121]),c_0_122])]) ).

cnf(c_0_124,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_105,c_0_123]),c_0_102])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : MGT065+1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n018.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 08:38:24 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.20/0.44  # ENIGMATIC: Selected SinE mode:
% 0.20/0.45  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.45  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.20/0.45  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.20/0.45  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 7.34/2.37  # ENIGMATIC: Solved by autoschedule-lgb:
% 7.34/2.37  # No SInE strategy applied
% 7.34/2.37  # Trying AutoSched0 for 150 seconds
% 7.34/2.37  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S068N
% 7.34/2.37  # and selection function PSelectNewComplexAHP.
% 7.34/2.37  #
% 7.34/2.37  # Preprocessing time       : 0.023 s
% 7.34/2.37  # Presaturation interreduction done
% 7.34/2.37  
% 7.34/2.37  # Proof found!
% 7.34/2.37  # SZS status Theorem
% 7.34/2.37  # SZS output start CNFRefutation
% See solution above
% 7.34/2.37  # Training examples: 0 positive, 0 negative
% 7.34/2.37  
% 7.34/2.37  # -------------------------------------------------
% 7.34/2.37  # User time                : 0.037 s
% 7.34/2.37  # System time              : 0.005 s
% 7.34/2.37  # Total time               : 0.042 s
% 7.34/2.37  # Maximum resident set size: 7124 pages
% 7.34/2.37  
%------------------------------------------------------------------------------