TSTP Solution File: LCL674+1.010 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : LCL674+1.010 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n020.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 09:31:50 EDT 2022

% Result   : Theorem 9.35s 2.52s
% Output   : CNFRefutation 9.35s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   17
% Syntax   : Number of clauses     :   56 (  25 unt;  14 nHn;  54 RR)
%            Number of literals    :  133 (   0 equ;  69 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    9 (   8 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   1 con; 0-1 aty)
%            Number of variables   :   37 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_5,negated_conjecture,
    ( epred1_1(X1)
    | ~ r1(esk1_0,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zyr74md_/lgb.p',i_0_5) ).

cnf(i_0_1,plain,
    r1(X1,X1),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zyr74md_/lgb.p',i_0_1) ).

cnf(i_0_47,plain,
    ( p101(X1)
    | r1(X1,esk20_1(X1))
    | ~ p100(X1)
    | ~ epred1_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zyr74md_/lgb.p',i_0_47) ).

cnf(i_0_3,negated_conjecture,
    p100(esk1_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zyr74md_/lgb.p',i_0_3) ).

cnf(i_0_4,negated_conjecture,
    ~ p101(esk1_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zyr74md_/lgb.p',i_0_4) ).

cnf(i_0_44,plain,
    ( p101(X1)
    | p101(esk20_1(X1))
    | ~ p100(X1)
    | ~ epred1_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zyr74md_/lgb.p',i_0_44) ).

cnf(i_0_45,plain,
    ( p101(X1)
    | ~ p100(X1)
    | ~ epred1_1(X1)
    | ~ p102(esk20_1(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zyr74md_/lgb.p',i_0_45) ).

cnf(i_0_55,plain,
    ( p102(X1)
    | r1(X1,esk18_1(X1))
    | ~ p101(X1)
    | ~ epred1_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zyr74md_/lgb.p',i_0_55) ).

cnf(i_0_2,plain,
    ( r1(X1,X2)
    | ~ r1(X3,X2)
    | ~ r1(X1,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zyr74md_/lgb.p',i_0_2) ).

cnf(i_0_52,plain,
    ( p102(X1)
    | p102(esk18_1(X1))
    | ~ p101(X1)
    | ~ epred1_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zyr74md_/lgb.p',i_0_52) ).

cnf(i_0_53,plain,
    ( p102(X1)
    | ~ p101(X1)
    | ~ epred1_1(X1)
    | ~ p103(esk18_1(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zyr74md_/lgb.p',i_0_53) ).

cnf(i_0_63,plain,
    ( p103(X1)
    | r1(X1,esk16_1(X1))
    | ~ p102(X1)
    | ~ epred1_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zyr74md_/lgb.p',i_0_63) ).

cnf(i_0_60,plain,
    ( p103(X1)
    | p103(esk16_1(X1))
    | ~ p102(X1)
    | ~ epred1_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zyr74md_/lgb.p',i_0_60) ).

cnf(i_0_61,plain,
    ( p103(X1)
    | ~ p102(X1)
    | ~ epred1_1(X1)
    | ~ p104(esk16_1(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zyr74md_/lgb.p',i_0_61) ).

cnf(i_0_71,plain,
    ( p104(X1)
    | r1(X1,esk14_1(X1))
    | ~ p103(X1)
    | ~ epred1_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zyr74md_/lgb.p',i_0_71) ).

cnf(i_0_70,plain,
    ( p104(X1)
    | ~ p103(X1)
    | ~ epred1_1(X1)
    | ~ p5(esk14_1(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zyr74md_/lgb.p',i_0_70) ).

cnf(i_0_6,negated_conjecture,
    ( p5(X1)
    | ~ r1(esk1_0,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zyr74md_/lgb.p',i_0_6) ).

cnf(c_0_89,negated_conjecture,
    ( epred1_1(X1)
    | ~ r1(esk1_0,X1) ),
    i_0_5 ).

cnf(c_0_90,plain,
    r1(X1,X1),
    i_0_1 ).

cnf(c_0_91,plain,
    ( p101(X1)
    | r1(X1,esk20_1(X1))
    | ~ p100(X1)
    | ~ epred1_1(X1) ),
    i_0_47 ).

cnf(c_0_92,plain,
    epred1_1(esk1_0),
    inference(spm,[status(thm)],[c_0_89,c_0_90]) ).

cnf(c_0_93,negated_conjecture,
    p100(esk1_0),
    i_0_3 ).

cnf(c_0_94,negated_conjecture,
    ~ p101(esk1_0),
    i_0_4 ).

cnf(c_0_95,plain,
    r1(esk1_0,esk20_1(esk1_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_92]),c_0_93])]),c_0_94]) ).

cnf(c_0_96,plain,
    ( p101(X1)
    | p101(esk20_1(X1))
    | ~ p100(X1)
    | ~ epred1_1(X1) ),
    i_0_44 ).

cnf(c_0_97,plain,
    ( p101(X1)
    | ~ p100(X1)
    | ~ epred1_1(X1)
    | ~ p102(esk20_1(X1)) ),
    i_0_45 ).

cnf(c_0_98,plain,
    ( p102(X1)
    | r1(X1,esk18_1(X1))
    | ~ p101(X1)
    | ~ epred1_1(X1) ),
    i_0_55 ).

cnf(c_0_99,negated_conjecture,
    epred1_1(esk20_1(esk1_0)),
    inference(spm,[status(thm)],[c_0_89,c_0_95]) ).

cnf(c_0_100,plain,
    p101(esk20_1(esk1_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_92]),c_0_93])]),c_0_94]) ).

cnf(c_0_101,plain,
    ~ p102(esk20_1(esk1_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_92]),c_0_93])]),c_0_94]) ).

cnf(c_0_102,plain,
    ( r1(X1,X2)
    | ~ r1(X3,X2)
    | ~ r1(X1,X3) ),
    i_0_2 ).

cnf(c_0_103,plain,
    r1(esk20_1(esk1_0),esk18_1(esk20_1(esk1_0))),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_99]),c_0_100])]),c_0_101]) ).

cnf(c_0_104,plain,
    ( r1(X1,esk18_1(esk20_1(esk1_0)))
    | ~ r1(X1,esk20_1(esk1_0)) ),
    inference(spm,[status(thm)],[c_0_102,c_0_103]) ).

cnf(c_0_105,plain,
    r1(esk1_0,esk18_1(esk20_1(esk1_0))),
    inference(spm,[status(thm)],[c_0_104,c_0_95]) ).

cnf(c_0_106,plain,
    ( p102(X1)
    | p102(esk18_1(X1))
    | ~ p101(X1)
    | ~ epred1_1(X1) ),
    i_0_52 ).

cnf(c_0_107,plain,
    ( p102(X1)
    | ~ p101(X1)
    | ~ epred1_1(X1)
    | ~ p103(esk18_1(X1)) ),
    i_0_53 ).

cnf(c_0_108,plain,
    ( p103(X1)
    | r1(X1,esk16_1(X1))
    | ~ p102(X1)
    | ~ epred1_1(X1) ),
    i_0_63 ).

cnf(c_0_109,negated_conjecture,
    epred1_1(esk18_1(esk20_1(esk1_0))),
    inference(spm,[status(thm)],[c_0_89,c_0_105]) ).

cnf(c_0_110,plain,
    p102(esk18_1(esk20_1(esk1_0))),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_99]),c_0_100])]),c_0_101]) ).

cnf(c_0_111,plain,
    ~ p103(esk18_1(esk20_1(esk1_0))),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_99]),c_0_100])]),c_0_101]) ).

cnf(c_0_112,plain,
    r1(esk18_1(esk20_1(esk1_0)),esk16_1(esk18_1(esk20_1(esk1_0)))),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_109]),c_0_110])]),c_0_111]) ).

cnf(c_0_113,plain,
    ( r1(X1,esk16_1(esk18_1(esk20_1(esk1_0))))
    | ~ r1(X1,esk18_1(esk20_1(esk1_0))) ),
    inference(spm,[status(thm)],[c_0_102,c_0_112]) ).

cnf(c_0_114,plain,
    r1(esk1_0,esk16_1(esk18_1(esk20_1(esk1_0)))),
    inference(spm,[status(thm)],[c_0_113,c_0_105]) ).

cnf(c_0_115,plain,
    ( p103(X1)
    | p103(esk16_1(X1))
    | ~ p102(X1)
    | ~ epred1_1(X1) ),
    i_0_60 ).

cnf(c_0_116,plain,
    ( p103(X1)
    | ~ p102(X1)
    | ~ epred1_1(X1)
    | ~ p104(esk16_1(X1)) ),
    i_0_61 ).

cnf(c_0_117,plain,
    ( p104(X1)
    | r1(X1,esk14_1(X1))
    | ~ p103(X1)
    | ~ epred1_1(X1) ),
    i_0_71 ).

cnf(c_0_118,negated_conjecture,
    epred1_1(esk16_1(esk18_1(esk20_1(esk1_0)))),
    inference(spm,[status(thm)],[c_0_89,c_0_114]) ).

cnf(c_0_119,plain,
    p103(esk16_1(esk18_1(esk20_1(esk1_0)))),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_109]),c_0_110])]),c_0_111]) ).

cnf(c_0_120,plain,
    ~ p104(esk16_1(esk18_1(esk20_1(esk1_0)))),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_109]),c_0_110])]),c_0_111]) ).

cnf(c_0_121,plain,
    r1(esk16_1(esk18_1(esk20_1(esk1_0))),esk14_1(esk16_1(esk18_1(esk20_1(esk1_0))))),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_118]),c_0_119])]),c_0_120]) ).

cnf(c_0_122,plain,
    ( r1(X1,esk14_1(esk16_1(esk18_1(esk20_1(esk1_0)))))
    | ~ r1(X1,esk16_1(esk18_1(esk20_1(esk1_0)))) ),
    inference(spm,[status(thm)],[c_0_102,c_0_121]) ).

cnf(c_0_123,plain,
    ( p104(X1)
    | ~ p103(X1)
    | ~ epred1_1(X1)
    | ~ p5(esk14_1(X1)) ),
    i_0_70 ).

cnf(c_0_124,negated_conjecture,
    ( p5(X1)
    | ~ r1(esk1_0,X1) ),
    i_0_6 ).

cnf(c_0_125,plain,
    r1(esk1_0,esk14_1(esk16_1(esk18_1(esk20_1(esk1_0))))),
    inference(spm,[status(thm)],[c_0_122,c_0_114]) ).

cnf(c_0_126,plain,
    ~ p5(esk14_1(esk16_1(esk18_1(esk20_1(esk1_0))))),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_118]),c_0_119])]),c_0_120]) ).

cnf(c_0_127,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_125]),c_0_126]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : LCL674+1.010 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n020.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 : Mon Jul  4 02:35:31 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  # ENIGMATIC: Selected complete mode:
% 9.35/2.52  # ENIGMATIC: Solved by autoschedule-lgb:
% 9.35/2.52  # No SInE strategy applied
% 9.35/2.52  # Trying AutoSched0 for 150 seconds
% 9.35/2.52  # AutoSched0-Mode selected heuristic G_E___107_C12_11_nc_F1_PI_AE_Q4_CS_SP_PS_S071I
% 9.35/2.52  # and selection function SelectCQArEqLast.
% 9.35/2.52  #
% 9.35/2.52  # Preprocessing time       : 0.025 s
% 9.35/2.52  # Presaturation interreduction done
% 9.35/2.52  
% 9.35/2.52  # Proof found!
% 9.35/2.52  # SZS status Theorem
% 9.35/2.52  # SZS output start CNFRefutation
% See solution above
% 9.35/2.52  # Training examples: 0 positive, 0 negative
% 9.35/2.52  
% 9.35/2.52  # -------------------------------------------------
% 9.35/2.52  # User time                : 0.062 s
% 9.35/2.52  # System time              : 0.010 s
% 9.35/2.52  # Total time               : 0.072 s
% 9.35/2.52  # Maximum resident set size: 7128 pages
% 9.35/2.52  
%------------------------------------------------------------------------------