TSTP Solution File: MGT056+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : MGT056+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n025.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 22:06:50 EDT 2022

% Result   : Theorem 7.35s 2.39s
% Output   : CNFRefutation 7.35s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   16
% Syntax   : Number of clauses     :   53 (  24 unt;  11 nHn;  50 RR)
%            Number of literals    :   98 (  19 equ;  40 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   7 con; 0-2 aty)
%            Number of variables   :   41 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_28,plain,
    ( greater(X1,X2)
    | ~ greater(X3,X2)
    | ~ greater(X1,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mwu8d52f/lgb.p',i_0_28) ).

cnf(i_0_19,negated_conjecture,
    greater(sigma,zero),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mwu8d52f/lgb.p',i_0_19) ).

cnf(i_0_12,plain,
    ( X1 = X2
    | greater(X1,X2)
    | ~ greater_or_equal(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mwu8d52f/lgb.p',i_0_12) ).

cnf(i_0_20,negated_conjecture,
    greater_or_equal(eta,sigma),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mwu8d52f/lgb.p',i_0_20) ).

cnf(i_0_13,plain,
    ( smaller(X1,X2)
    | ~ greater(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mwu8d52f/lgb.p',i_0_13) ).

cnf(i_0_8,plain,
    ( has_immunity(X1,X2)
    | ~ has_endowment(X1)
    | ~ smaller_or_equal(age(X1,X2),eta) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mwu8d52f/lgb.p',i_0_8) ).

cnf(i_0_22,negated_conjecture,
    smaller_or_equal(age(esk3_0,esk5_0),eta),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mwu8d52f/lgb.p',i_0_22) ).

cnf(i_0_24,negated_conjecture,
    has_endowment(esk3_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mwu8d52f/lgb.p',i_0_24) ).

cnf(i_0_23,negated_conjecture,
    age(esk3_0,esk4_0) = zero,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mwu8d52f/lgb.p',i_0_23) ).

cnf(i_0_16,plain,
    ( smaller_or_equal(X1,X2)
    | ~ smaller(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mwu8d52f/lgb.p',i_0_16) ).

cnf(i_0_1,plain,
    ( hazard_of_mortality(X1,X2) = hazard_of_mortality(X1,X3)
    | ~ organization(X1)
    | ~ has_immunity(X1,X3)
    | ~ has_immunity(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mwu8d52f/lgb.p',i_0_1) ).

cnf(i_0_25,negated_conjecture,
    organization(esk3_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mwu8d52f/lgb.p',i_0_25) ).

cnf(i_0_18,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-mwu8d52f/lgb.p',i_0_18) ).

cnf(i_0_2,plain,
    ( has_immunity(X1,X2)
    | greater(hazard_of_mortality(X1,X2),hazard_of_mortality(X1,X3))
    | ~ organization(X1)
    | ~ has_immunity(X1,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mwu8d52f/lgb.p',i_0_2) ).

cnf(i_0_7,plain,
    ( ~ has_endowment(X1)
    | ~ has_immunity(X1,X2)
    | ~ greater(age(X1,X2),eta) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mwu8d52f/lgb.p',i_0_7) ).

cnf(i_0_21,negated_conjecture,
    greater(age(esk3_0,esk6_0),eta),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mwu8d52f/lgb.p',i_0_21) ).

cnf(c_0_45,plain,
    ( greater(X1,X2)
    | ~ greater(X3,X2)
    | ~ greater(X1,X3) ),
    i_0_28 ).

cnf(c_0_46,negated_conjecture,
    greater(sigma,zero),
    i_0_19 ).

cnf(c_0_47,plain,
    ( X1 = X2
    | greater(X1,X2)
    | ~ greater_or_equal(X1,X2) ),
    i_0_12 ).

cnf(c_0_48,negated_conjecture,
    greater_or_equal(eta,sigma),
    i_0_20 ).

cnf(c_0_49,negated_conjecture,
    ( greater(X1,zero)
    | ~ greater(X1,sigma) ),
    inference(spm,[status(thm)],[c_0_45,c_0_46]) ).

cnf(c_0_50,negated_conjecture,
    ( sigma = eta
    | greater(eta,sigma) ),
    inference(spm,[status(thm)],[c_0_47,c_0_48]) ).

cnf(c_0_51,plain,
    ( smaller(X1,X2)
    | ~ greater(X2,X1) ),
    i_0_13 ).

cnf(c_0_52,negated_conjecture,
    ( sigma = eta
    | greater(eta,zero) ),
    inference(spm,[status(thm)],[c_0_49,c_0_50]) ).

cnf(c_0_53,plain,
    ( has_immunity(X1,X2)
    | ~ has_endowment(X1)
    | ~ smaller_or_equal(age(X1,X2),eta) ),
    i_0_8 ).

cnf(c_0_54,negated_conjecture,
    smaller_or_equal(age(esk3_0,esk5_0),eta),
    i_0_22 ).

cnf(c_0_55,negated_conjecture,
    has_endowment(esk3_0),
    i_0_24 ).

cnf(c_0_56,negated_conjecture,
    age(esk3_0,esk4_0) = zero,
    i_0_23 ).

cnf(c_0_57,plain,
    ( smaller_or_equal(X1,X2)
    | ~ smaller(X1,X2) ),
    i_0_16 ).

cnf(c_0_58,plain,
    ( sigma = eta
    | smaller(zero,eta) ),
    inference(spm,[status(thm)],[c_0_51,c_0_52]) ).

cnf(c_0_59,plain,
    ( hazard_of_mortality(X1,X2) = hazard_of_mortality(X1,X3)
    | ~ organization(X1)
    | ~ has_immunity(X1,X3)
    | ~ has_immunity(X1,X2) ),
    i_0_1 ).

cnf(c_0_60,negated_conjecture,
    has_immunity(esk3_0,esk5_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_55])]) ).

cnf(c_0_61,negated_conjecture,
    organization(esk3_0),
    i_0_25 ).

cnf(c_0_62,negated_conjecture,
    ( has_immunity(esk3_0,esk4_0)
    | ~ smaller_or_equal(zero,eta) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_56]),c_0_55])]) ).

cnf(c_0_63,plain,
    ( sigma = eta
    | smaller_or_equal(zero,eta) ),
    inference(spm,[status(thm)],[c_0_57,c_0_58]) ).

cnf(c_0_64,negated_conjecture,
    ( hazard_of_mortality(esk3_0,X1) = hazard_of_mortality(esk3_0,esk5_0)
    | ~ has_immunity(esk3_0,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_61])]) ).

cnf(c_0_65,plain,
    ( sigma = eta
    | has_immunity(esk3_0,esk4_0) ),
    inference(spm,[status(thm)],[c_0_62,c_0_63]) ).

cnf(c_0_66,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_18 ).

cnf(c_0_67,plain,
    ( hazard_of_mortality(esk3_0,esk4_0) = hazard_of_mortality(esk3_0,esk5_0)
    | sigma = eta ),
    inference(spm,[status(thm)],[c_0_64,c_0_65]) ).

cnf(c_0_68,plain,
    ( has_immunity(X1,X2)
    | greater(hazard_of_mortality(X1,X2),hazard_of_mortality(X1,X3))
    | ~ organization(X1)
    | ~ has_immunity(X1,X3) ),
    i_0_2 ).

cnf(c_0_69,plain,
    ( ~ has_endowment(X1)
    | ~ has_immunity(X1,X2)
    | ~ greater(age(X1,X2),eta) ),
    i_0_7 ).

cnf(c_0_70,negated_conjecture,
    greater(age(esk3_0,esk6_0),eta),
    i_0_21 ).

cnf(c_0_71,negated_conjecture,
    smaller(zero,sigma),
    inference(spm,[status(thm)],[c_0_51,c_0_46]) ).

cnf(c_0_72,negated_conjecture,
    ( sigma = eta
    | ~ greater(hazard_of_mortality(esk3_0,esk6_0),hazard_of_mortality(esk3_0,esk5_0)) ),
    inference(spm,[status(thm)],[c_0_66,c_0_67]) ).

cnf(c_0_73,plain,
    ( has_immunity(esk3_0,X1)
    | greater(hazard_of_mortality(esk3_0,X1),hazard_of_mortality(esk3_0,esk5_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_60]),c_0_61])]) ).

cnf(c_0_74,negated_conjecture,
    ~ has_immunity(esk3_0,esk6_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_55])]) ).

cnf(c_0_75,plain,
    smaller_or_equal(zero,sigma),
    inference(spm,[status(thm)],[c_0_57,c_0_71]) ).

cnf(c_0_76,plain,
    sigma = eta,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_74]) ).

cnf(c_0_77,plain,
    smaller_or_equal(zero,eta),
    inference(rw,[status(thm)],[c_0_75,c_0_76]) ).

cnf(c_0_78,negated_conjecture,
    has_immunity(esk3_0,esk4_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_62,c_0_77])]) ).

cnf(c_0_79,negated_conjecture,
    hazard_of_mortality(esk3_0,esk4_0) = hazard_of_mortality(esk3_0,esk5_0),
    inference(spm,[status(thm)],[c_0_64,c_0_78]) ).

cnf(c_0_80,negated_conjecture,
    ~ greater(hazard_of_mortality(esk3_0,esk6_0),hazard_of_mortality(esk3_0,esk5_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_66,c_0_79])]) ).

cnf(c_0_81,plain,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_73]),c_0_74]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : MGT056+1 : TPTP v8.1.0. Released v2.4.0.
% 0.06/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.11/0.32  % Computer : n025.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 600
% 0.11/0.32  % DateTime : Thu Jun  9 11:50:22 EDT 2022
% 0.11/0.32  % CPUTime  : 
% 0.18/0.43  # ENIGMATIC: Selected SinE mode:
% 0.18/0.44  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.44  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.18/0.44  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.18/0.44  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 7.35/2.39  # ENIGMATIC: Solved by autoschedule-lgb:
% 7.35/2.39  # No SInE strategy applied
% 7.35/2.39  # Trying AutoSched0 for 150 seconds
% 7.35/2.39  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S068N
% 7.35/2.39  # and selection function PSelectNewComplexAHP.
% 7.35/2.39  #
% 7.35/2.39  # Preprocessing time       : 0.016 s
% 7.35/2.39  # Presaturation interreduction done
% 7.35/2.39  
% 7.35/2.39  # Proof found!
% 7.35/2.39  # SZS status Theorem
% 7.35/2.39  # SZS output start CNFRefutation
% See solution above
% 7.35/2.39  # Training examples: 0 positive, 0 negative
% 7.35/2.39  
% 7.35/2.39  # -------------------------------------------------
% 7.35/2.39  # User time                : 0.020 s
% 7.35/2.39  # System time              : 0.006 s
% 7.35/2.39  # Total time               : 0.026 s
% 7.35/2.39  # Maximum resident set size: 7128 pages
% 7.35/2.39  
%------------------------------------------------------------------------------