TSTP Solution File: LCL542+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : LCL542+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n021.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 09:26:41 EDT 2022

% Result   : Theorem 7.54s 2.46s
% Output   : CNFRefutation 7.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   23 (  13 unt;   0 nHn;  17 RR)
%            Number of literals    :   35 (   3 equ;  16 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :    7 (   5 usr;   5 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   2 con; 0-2 aty)
%            Number of variables   :   17 (   3 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_106,plain,
    ( is_a_theorem(necessarily(X1))
    | ~ necessitation
    | ~ is_a_theorem(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qhuog_s0/lgb.p',i_0_106) ).

cnf(i_0_86,plain,
    necessitation,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qhuog_s0/lgb.p',i_0_86) ).

cnf(i_0_115,plain,
    ( necessarily(implies(X1,X2)) = strict_implies(X1,X2)
    | ~ op_strict_implies ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qhuog_s0/lgb.p',i_0_115) ).

cnf(i_0_137,plain,
    op_strict_implies,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qhuog_s0/lgb.p',i_0_137) ).

cnf(i_0_23,plain,
    ( axiom_m2
    | ~ is_a_theorem(strict_implies(and(esk17_0,esk18_0),esk17_0)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qhuog_s0/lgb.p',i_0_23) ).

cnf(i_0_132,negated_conjecture,
    ~ axiom_m2,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qhuog_s0/lgb.p',i_0_132) ).

cnf(i_0_6,plain,
    ( is_a_theorem(implies(and(X1,X2),X1))
    | ~ and_1 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qhuog_s0/lgb.p',i_0_6) ).

cnf(i_0_59,plain,
    and_1,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qhuog_s0/lgb.p',i_0_59) ).

cnf(c_0_146,plain,
    ( is_a_theorem(necessarily(X1))
    | ~ necessitation
    | ~ is_a_theorem(X1) ),
    i_0_106 ).

cnf(c_0_147,plain,
    necessitation,
    i_0_86 ).

cnf(c_0_148,plain,
    ( necessarily(implies(X1,X2)) = strict_implies(X1,X2)
    | ~ op_strict_implies ),
    i_0_115 ).

cnf(c_0_149,plain,
    op_strict_implies,
    i_0_137 ).

cnf(c_0_150,plain,
    ( axiom_m2
    | ~ is_a_theorem(strict_implies(and(esk17_0,esk18_0),esk17_0)) ),
    i_0_23 ).

cnf(c_0_151,negated_conjecture,
    ~ axiom_m2,
    i_0_132 ).

cnf(c_0_152,plain,
    ( is_a_theorem(necessarily(X1))
    | ~ is_a_theorem(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_146,c_0_147])]) ).

cnf(c_0_153,plain,
    necessarily(implies(X1,X2)) = strict_implies(X1,X2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_148,c_0_149])]) ).

cnf(c_0_154,plain,
    ~ is_a_theorem(strict_implies(and(esk17_0,esk18_0),esk17_0)),
    inference(sr,[status(thm)],[c_0_150,c_0_151]) ).

cnf(c_0_155,plain,
    ( is_a_theorem(strict_implies(X1,X2))
    | ~ is_a_theorem(implies(X1,X2)) ),
    inference(spm,[status(thm)],[c_0_152,c_0_153]) ).

cnf(c_0_156,plain,
    ( is_a_theorem(implies(and(X1,X2),X1))
    | ~ and_1 ),
    i_0_6 ).

cnf(c_0_157,plain,
    and_1,
    i_0_59 ).

cnf(c_0_158,plain,
    ~ is_a_theorem(implies(and(esk17_0,esk18_0),esk17_0)),
    inference(spm,[status(thm)],[c_0_154,c_0_155]) ).

cnf(c_0_159,plain,
    is_a_theorem(implies(and(X1,X2),X1)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_156,c_0_157])]) ).

cnf(c_0_160,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_158,c_0_159])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : LCL542+1 : TPTP v8.1.0. Released v3.3.0.
% 0.00/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n021.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 : Sat Jul  2 16:35:16 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.44  # ENIGMATIC: Selected SinE mode:
% 0.19/0.45  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.45  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.19/0.45  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.19/0.45  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 7.54/2.46  # ENIGMATIC: Solved by autoschedule-lgb:
% 7.54/2.46  # No SInE strategy applied
% 7.54/2.46  # Trying AutoSched0 for 150 seconds
% 7.54/2.46  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI
% 7.54/2.46  # and selection function SelectComplexExceptUniqMaxHorn.
% 7.54/2.46  #
% 7.54/2.46  # Preprocessing time       : 0.014 s
% 7.54/2.46  # Presaturation interreduction done
% 7.54/2.46  
% 7.54/2.46  # Proof found!
% 7.54/2.46  # SZS status Theorem
% 7.54/2.46  # SZS output start CNFRefutation
% See solution above
% 7.54/2.46  # Training examples: 0 positive, 0 negative
% 7.54/2.46  
% 7.54/2.46  # -------------------------------------------------
% 7.54/2.46  # User time                : 0.018 s
% 7.54/2.46  # System time              : 0.008 s
% 7.54/2.46  # Total time               : 0.026 s
% 7.54/2.46  # Maximum resident set size: 7124 pages
% 7.54/2.46  
%------------------------------------------------------------------------------