TSTP Solution File: LCL525+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : LCL525+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n028.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 09:26:35 EDT 2022

% Result   : Theorem 7.64s 2.30s
% Output   : CNFRefutation 7.64s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   30 (  15 unt;   4 nHn;  24 RR)
%            Number of literals    :   50 (   3 equ;  19 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   5 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :   18 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_96,plain,
    ( is_a_theorem(X1)
    | ~ modus_ponens
    | ~ is_a_theorem(X2)
    | ~ is_a_theorem(implies(X2,X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ljdmrjy5/lgb.p',i_0_96) ).

cnf(i_0_68,plain,
    modus_ponens,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ljdmrjy5/lgb.p',i_0_68) ).

cnf(i_0_40,plain,
    ( is_a_theorem(implies(necessarily(X1),X1))
    | ~ axiom_M ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ljdmrjy5/lgb.p',i_0_40) ).

cnf(i_0_84,plain,
    axiom_M,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ljdmrjy5/lgb.p',i_0_84) ).

cnf(i_0_114,plain,
    ( necessarily(implies(X1,X2)) = strict_implies(X1,X2)
    | ~ op_strict_implies ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ljdmrjy5/lgb.p',i_0_114) ).

cnf(i_0_136,plain,
    op_strict_implies,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ljdmrjy5/lgb.p',i_0_136) ).

cnf(i_0_98,plain,
    ( modus_ponens_strict_implies
    | is_a_theorem(strict_implies(esk65_0,esk66_0)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ljdmrjy5/lgb.p',i_0_98) ).

cnf(i_0_131,negated_conjecture,
    ~ modus_ponens_strict_implies,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ljdmrjy5/lgb.p',i_0_131) ).

cnf(i_0_99,plain,
    ( modus_ponens_strict_implies
    | is_a_theorem(esk65_0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ljdmrjy5/lgb.p',i_0_99) ).

cnf(i_0_97,plain,
    ( modus_ponens_strict_implies
    | ~ is_a_theorem(esk66_0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ljdmrjy5/lgb.p',i_0_97) ).

cnf(c_0_147,plain,
    ( is_a_theorem(X1)
    | ~ modus_ponens
    | ~ is_a_theorem(X2)
    | ~ is_a_theorem(implies(X2,X1)) ),
    i_0_96 ).

cnf(c_0_148,plain,
    modus_ponens,
    i_0_68 ).

cnf(c_0_149,plain,
    ( is_a_theorem(implies(necessarily(X1),X1))
    | ~ axiom_M ),
    i_0_40 ).

cnf(c_0_150,plain,
    axiom_M,
    i_0_84 ).

cnf(c_0_151,plain,
    ( is_a_theorem(X1)
    | ~ is_a_theorem(implies(X2,X1))
    | ~ is_a_theorem(X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_147,c_0_148])]) ).

cnf(c_0_152,plain,
    is_a_theorem(implies(necessarily(X1),X1)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_149,c_0_150])]) ).

cnf(c_0_153,plain,
    ( necessarily(implies(X1,X2)) = strict_implies(X1,X2)
    | ~ op_strict_implies ),
    i_0_114 ).

cnf(c_0_154,plain,
    op_strict_implies,
    i_0_136 ).

cnf(c_0_155,plain,
    ( is_a_theorem(X1)
    | ~ is_a_theorem(necessarily(X1)) ),
    inference(spm,[status(thm)],[c_0_151,c_0_152]) ).

cnf(c_0_156,plain,
    necessarily(implies(X1,X2)) = strict_implies(X1,X2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_153,c_0_154])]) ).

cnf(c_0_157,plain,
    ( modus_ponens_strict_implies
    | is_a_theorem(strict_implies(esk65_0,esk66_0)) ),
    i_0_98 ).

cnf(c_0_158,negated_conjecture,
    ~ modus_ponens_strict_implies,
    i_0_131 ).

cnf(c_0_159,plain,
    ( is_a_theorem(implies(X1,X2))
    | ~ is_a_theorem(strict_implies(X1,X2)) ),
    inference(spm,[status(thm)],[c_0_155,c_0_156]) ).

cnf(c_0_160,plain,
    is_a_theorem(strict_implies(esk65_0,esk66_0)),
    inference(sr,[status(thm)],[c_0_157,c_0_158]) ).

cnf(c_0_161,plain,
    ( modus_ponens_strict_implies
    | is_a_theorem(esk65_0) ),
    i_0_99 ).

cnf(c_0_162,plain,
    ( modus_ponens_strict_implies
    | ~ is_a_theorem(esk66_0) ),
    i_0_97 ).

cnf(c_0_163,plain,
    is_a_theorem(implies(esk65_0,esk66_0)),
    inference(spm,[status(thm)],[c_0_159,c_0_160]) ).

cnf(c_0_164,plain,
    is_a_theorem(esk65_0),
    inference(sr,[status(thm)],[c_0_161,c_0_158]) ).

cnf(c_0_165,plain,
    ~ is_a_theorem(esk66_0),
    inference(sr,[status(thm)],[c_0_162,c_0_158]) ).

cnf(c_0_166,plain,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_163]),c_0_164])]),c_0_165]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11  % Problem  : LCL525+1 : TPTP v8.1.0. Released v3.3.0.
% 0.05/0.11  % Command  : enigmatic-eprover.py %s %d 1
% 0.11/0.32  % Computer : n028.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 : Mon Jul  4 21:10:07 EDT 2022
% 0.11/0.32  % CPUTime  : 
% 0.17/0.43  # ENIGMATIC: Selected SinE mode:
% 0.17/0.44  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.44  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.17/0.44  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.17/0.44  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 7.64/2.30  # ENIGMATIC: Solved by autoschedule-lgb:
% 7.64/2.30  # No SInE strategy applied
% 7.64/2.30  # Trying AutoSched0 for 150 seconds
% 7.64/2.30  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI
% 7.64/2.30  # and selection function SelectComplexExceptUniqMaxHorn.
% 7.64/2.30  #
% 7.64/2.30  # Preprocessing time       : 0.014 s
% 7.64/2.30  # Presaturation interreduction done
% 7.64/2.30  
% 7.64/2.30  # Proof found!
% 7.64/2.30  # SZS status Theorem
% 7.64/2.30  # SZS output start CNFRefutation
% See solution above
% 7.64/2.31  # Training examples: 0 positive, 0 negative
% 7.64/2.31  
% 7.64/2.31  # -------------------------------------------------
% 7.64/2.31  # User time                : 0.017 s
% 7.64/2.31  # System time              : 0.006 s
% 7.64/2.31  # Total time               : 0.023 s
% 7.64/2.31  # Maximum resident set size: 7128 pages
% 7.64/2.31  
%------------------------------------------------------------------------------