TSTP Solution File: MGT012+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : MGT012+1 : 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 22:06:15 EDT 2022

% Result   : Theorem 12.47s 3.22s
% Output   : CNFRefutation 12.47s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   13
% Syntax   : Number of clauses     :   44 (  23 unt;   0 nHn;  44 RR)
%            Number of literals    :  122 (   5 equ;  81 neg)
%            Maximal clause size   :   10 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   1 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :   75 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_4,plain,
    ( class(X1,esk2_2(X1,X2),X2)
    | ~ organization(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tyk5hnqx/lgb.p',i_0_4) ).

cnf(i_0_13,negated_conjecture,
    organization(esk3_0,esk7_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tyk5hnqx/lgb.p',i_0_13) ).

cnf(i_0_5,plain,
    ( X1 = X2
    | ~ organization(X3,X4)
    | ~ organization(X3,X5)
    | ~ class(X3,X2,X4)
    | ~ class(X3,X1,X5)
    | ~ reorganization_free(X3,X5,X4) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tyk5hnqx/lgb.p',i_0_5) ).

cnf(i_0_14,negated_conjecture,
    organization(esk3_0,esk6_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tyk5hnqx/lgb.p',i_0_14) ).

cnf(i_0_12,negated_conjecture,
    reorganization_free(esk3_0,esk6_0,esk7_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tyk5hnqx/lgb.p',i_0_12) ).

cnf(i_0_6,hypothesis,
    ( greater(X1,X2)
    | ~ organization(X3,X4)
    | ~ organization(X5,X6)
    | ~ greater(X7,X8)
    | ~ inertia(X3,X1,X4)
    | ~ inertia(X5,X2,X6)
    | ~ class(X3,X9,X4)
    | ~ class(X5,X9,X6)
    | ~ complexity(X3,X7,X4)
    | ~ complexity(X5,X8,X6) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tyk5hnqx/lgb.p',i_0_6) ).

cnf(i_0_1,plain,
    ( inertia(X1,esk1_2(X1,X2),X2)
    | ~ organization(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tyk5hnqx/lgb.p',i_0_1) ).

cnf(i_0_7,hypothesis,
    ( greater(X1,X2)
    | ~ organization(X3,X4)
    | ~ organization(X3,X5)
    | ~ greater(X4,X5)
    | ~ inertia(X3,X1,X4)
    | ~ inertia(X3,X2,X5)
    | ~ reorganization_free(X3,X5,X4) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tyk5hnqx/lgb.p',i_0_7) ).

cnf(i_0_10,negated_conjecture,
    complexity(esk3_0,esk5_0,esk7_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tyk5hnqx/lgb.p',i_0_10) ).

cnf(i_0_9,negated_conjecture,
    greater(esk7_0,esk6_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tyk5hnqx/lgb.p',i_0_9) ).

cnf(i_0_8,negated_conjecture,
    greater(esk4_0,esk5_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tyk5hnqx/lgb.p',i_0_8) ).

cnf(i_0_11,negated_conjecture,
    complexity(esk3_0,esk4_0,esk6_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tyk5hnqx/lgb.p',i_0_11) ).

cnf(i_0_3,plain,
    ( ~ greater(X1,X2)
    | ~ greater(X2,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tyk5hnqx/lgb.p',i_0_3) ).

cnf(c_0_28,plain,
    ( class(X1,esk2_2(X1,X2),X2)
    | ~ organization(X1,X2) ),
    i_0_4 ).

cnf(c_0_29,negated_conjecture,
    organization(esk3_0,esk7_0),
    i_0_13 ).

cnf(c_0_30,plain,
    ( X1 = X2
    | ~ organization(X3,X4)
    | ~ organization(X3,X5)
    | ~ class(X3,X2,X4)
    | ~ class(X3,X1,X5)
    | ~ reorganization_free(X3,X5,X4) ),
    i_0_5 ).

cnf(c_0_31,negated_conjecture,
    class(esk3_0,esk2_2(esk3_0,esk7_0),esk7_0),
    inference(spm,[status(thm)],[c_0_28,c_0_29]) ).

cnf(c_0_32,plain,
    ( X1 = esk2_2(esk3_0,esk7_0)
    | ~ class(esk3_0,X1,X2)
    | ~ organization(esk3_0,X2)
    | ~ reorganization_free(esk3_0,X2,esk7_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_29])]) ).

cnf(c_0_33,negated_conjecture,
    organization(esk3_0,esk6_0),
    i_0_14 ).

cnf(c_0_34,negated_conjecture,
    reorganization_free(esk3_0,esk6_0,esk7_0),
    i_0_12 ).

cnf(c_0_35,negated_conjecture,
    ( X1 = esk2_2(esk3_0,esk7_0)
    | ~ class(esk3_0,X1,esk6_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34])]) ).

cnf(c_0_36,negated_conjecture,
    class(esk3_0,esk2_2(esk3_0,esk6_0),esk6_0),
    inference(spm,[status(thm)],[c_0_28,c_0_33]) ).

cnf(c_0_37,negated_conjecture,
    esk2_2(esk3_0,esk7_0) = esk2_2(esk3_0,esk6_0),
    inference(spm,[status(thm)],[c_0_35,c_0_36]) ).

cnf(c_0_38,hypothesis,
    ( greater(X1,X2)
    | ~ organization(X3,X4)
    | ~ organization(X5,X6)
    | ~ greater(X7,X8)
    | ~ inertia(X3,X1,X4)
    | ~ inertia(X5,X2,X6)
    | ~ class(X3,X9,X4)
    | ~ class(X5,X9,X6)
    | ~ complexity(X3,X7,X4)
    | ~ complexity(X5,X8,X6) ),
    i_0_6 ).

cnf(c_0_39,negated_conjecture,
    class(esk3_0,esk2_2(esk3_0,esk6_0),esk7_0),
    inference(rw,[status(thm)],[c_0_31,c_0_37]) ).

cnf(c_0_40,plain,
    ( inertia(X1,esk1_2(X1,X2),X2)
    | ~ organization(X1,X2) ),
    i_0_1 ).

cnf(c_0_41,hypothesis,
    ( greater(X1,X2)
    | ~ class(X3,esk2_2(esk3_0,esk6_0),X4)
    | ~ inertia(esk3_0,X2,esk7_0)
    | ~ inertia(X3,X1,X4)
    | ~ organization(X3,X4)
    | ~ greater(X5,X6)
    | ~ complexity(esk3_0,X6,esk7_0)
    | ~ complexity(X3,X5,X4) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_29])]) ).

cnf(c_0_42,negated_conjecture,
    inertia(esk3_0,esk1_2(esk3_0,esk7_0),esk7_0),
    inference(spm,[status(thm)],[c_0_40,c_0_29]) ).

cnf(c_0_43,hypothesis,
    ( greater(X1,X2)
    | ~ organization(X3,X4)
    | ~ organization(X3,X5)
    | ~ greater(X4,X5)
    | ~ inertia(X3,X1,X4)
    | ~ inertia(X3,X2,X5)
    | ~ reorganization_free(X3,X5,X4) ),
    i_0_7 ).

cnf(c_0_44,negated_conjecture,
    inertia(esk3_0,esk1_2(esk3_0,esk6_0),esk6_0),
    inference(spm,[status(thm)],[c_0_40,c_0_33]) ).

cnf(c_0_45,negated_conjecture,
    ( greater(X1,esk1_2(esk3_0,esk7_0))
    | ~ class(X2,esk2_2(esk3_0,esk6_0),X3)
    | ~ inertia(X2,X1,X3)
    | ~ organization(X2,X3)
    | ~ greater(X4,X5)
    | ~ complexity(esk3_0,X5,esk7_0)
    | ~ complexity(X2,X4,X3) ),
    inference(spm,[status(thm)],[c_0_41,c_0_42]) ).

cnf(c_0_46,negated_conjecture,
    complexity(esk3_0,esk5_0,esk7_0),
    i_0_10 ).

cnf(c_0_47,hypothesis,
    ( greater(X1,esk1_2(esk3_0,esk6_0))
    | ~ inertia(esk3_0,X1,X2)
    | ~ organization(esk3_0,X2)
    | ~ greater(X2,esk6_0)
    | ~ reorganization_free(esk3_0,esk6_0,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_33])]) ).

cnf(c_0_48,negated_conjecture,
    greater(esk7_0,esk6_0),
    i_0_9 ).

cnf(c_0_49,negated_conjecture,
    ( greater(X1,esk1_2(esk3_0,esk7_0))
    | ~ class(X2,esk2_2(esk3_0,esk6_0),X3)
    | ~ inertia(X2,X1,X3)
    | ~ organization(X2,X3)
    | ~ greater(X4,esk5_0)
    | ~ complexity(X2,X4,X3) ),
    inference(spm,[status(thm)],[c_0_45,c_0_46]) ).

cnf(c_0_50,negated_conjecture,
    greater(esk4_0,esk5_0),
    i_0_8 ).

cnf(c_0_51,negated_conjecture,
    ( greater(X1,esk1_2(esk3_0,esk6_0))
    | ~ inertia(esk3_0,X1,esk7_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_29]),c_0_48]),c_0_34])]) ).

cnf(c_0_52,negated_conjecture,
    ( greater(X1,esk1_2(esk3_0,esk7_0))
    | ~ class(X2,esk2_2(esk3_0,esk6_0),X3)
    | ~ inertia(X2,X1,X3)
    | ~ organization(X2,X3)
    | ~ complexity(X2,esk4_0,X3) ),
    inference(spm,[status(thm)],[c_0_49,c_0_50]) ).

cnf(c_0_53,negated_conjecture,
    complexity(esk3_0,esk4_0,esk6_0),
    i_0_11 ).

cnf(c_0_54,plain,
    ( ~ greater(X1,X2)
    | ~ greater(X2,X1) ),
    i_0_3 ).

cnf(c_0_55,negated_conjecture,
    greater(esk1_2(esk3_0,esk7_0),esk1_2(esk3_0,esk6_0)),
    inference(spm,[status(thm)],[c_0_51,c_0_42]) ).

cnf(c_0_56,negated_conjecture,
    ( greater(X1,esk1_2(esk3_0,esk7_0))
    | ~ inertia(esk3_0,X1,esk6_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_36]),c_0_33])]) ).

cnf(c_0_57,plain,
    ~ greater(esk1_2(esk3_0,esk6_0),esk1_2(esk3_0,esk7_0)),
    inference(spm,[status(thm)],[c_0_54,c_0_55]) ).

cnf(c_0_58,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_44]),c_0_57]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.09  % Problem  : MGT012+1 : TPTP v8.1.0. Released v2.0.0.
% 0.08/0.09  % Command  : enigmatic-eprover.py %s %d 1
% 0.09/0.29  % Computer : n022.cluster.edu
% 0.09/0.29  % Model    : x86_64 x86_64
% 0.09/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29  % Memory   : 8042.1875MB
% 0.09/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29  % CPULimit : 300
% 0.09/0.29  % WCLimit  : 600
% 0.09/0.29  % DateTime : Thu Jun  9 10:47:06 EDT 2022
% 0.09/0.29  % CPUTime  : 
% 0.14/0.39  # ENIGMATIC: Selected complete mode:
% 12.47/3.22  # ENIGMATIC: Solved by autoschedule-lgb:
% 12.47/3.22  # No SInE strategy applied
% 12.47/3.22  # Trying AutoSched0 for 150 seconds
% 12.47/3.22  # AutoSched0-Mode selected heuristic G_E___006_C18_F1_PI_AE_Q4_CS_SP_S2S
% 12.47/3.22  # and selection function SelectNewComplexAHP.
% 12.47/3.22  #
% 12.47/3.22  # Preprocessing time       : 0.024 s
% 12.47/3.22  
% 12.47/3.22  # Proof found!
% 12.47/3.22  # SZS status Theorem
% 12.47/3.22  # SZS output start CNFRefutation
% See solution above
% 12.47/3.22  # Training examples: 0 positive, 0 negative
% 12.47/3.22  
% 12.47/3.22  # -------------------------------------------------
% 12.47/3.22  # User time                : 0.028 s
% 12.47/3.22  # System time              : 0.005 s
% 12.47/3.22  # Total time               : 0.032 s
% 12.47/3.22  # Maximum resident set size: 7124 pages
% 12.47/3.22  
%------------------------------------------------------------------------------