TSTP Solution File: LCL638+1.005 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : LCL638+1.005 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n029.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 09:27:14 EDT 2022

% Result   : Theorem 11.75s 2.87s
% Output   : CNFRefutation 11.75s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   12
% Syntax   : Number of clauses     :   49 (  19 unt;  15 nHn;  49 RR)
%            Number of literals    :  181 (   0 equ; 119 neg)
%            Maximal clause size   :    9 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   6 con; 0-6 aty)
%            Number of variables   :  113 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_82,negated_conjecture,
    ( p1(X1)
    | r1(X2,esk6_5(X3,X4,X5,X6,X2))
    | ~ r1(X7,X1)
    | ~ r1(X6,X2)
    | ~ r1(X5,X6)
    | ~ r1(X4,X5)
    | ~ r1(X3,X4)
    | ~ r1(X2,X7)
    | ~ r1(esk1_0,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-i_0vts3x/input.p',i_0_82) ).

cnf(i_0_7,negated_conjecture,
    r1(esk1_0,esk52_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-i_0vts3x/input.p',i_0_7) ).

cnf(i_0_80,negated_conjecture,
    ( r1(X1,esk7_5(X2,X3,X4,X5,X1))
    | ~ r1(X5,X1)
    | ~ r1(X4,X5)
    | ~ r1(X3,X4)
    | ~ r1(X2,X3)
    | ~ r1(esk1_0,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-i_0vts3x/input.p',i_0_80) ).

cnf(i_0_90,negated_conjecture,
    ( p1(X1)
    | r1(X2,esk2_6(X3,X4,X5,X6,X1,X2))
    | ~ r1(X1,X2)
    | ~ r1(X6,X1)
    | ~ r1(X5,X6)
    | ~ r1(X4,X5)
    | ~ r1(X3,X4)
    | ~ r1(esk1_0,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-i_0vts3x/input.p',i_0_90) ).

cnf(i_0_6,negated_conjecture,
    r1(esk52_0,esk53_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-i_0vts3x/input.p',i_0_6) ).

cnf(i_0_5,negated_conjecture,
    r1(esk53_0,esk54_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-i_0vts3x/input.p',i_0_5) ).

cnf(i_0_4,negated_conjecture,
    r1(esk54_0,esk55_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-i_0vts3x/input.p',i_0_4) ).

cnf(i_0_3,negated_conjecture,
    r1(esk55_0,esk56_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-i_0vts3x/input.p',i_0_3) ).

cnf(i_0_2,negated_conjecture,
    ~ p1(esk56_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-i_0vts3x/input.p',i_0_2) ).

cnf(i_0_89,negated_conjecture,
    ( p1(X1)
    | ~ r1(X1,X2)
    | ~ r1(X3,X1)
    | ~ r1(X4,X3)
    | ~ r1(X5,X4)
    | ~ r1(X6,X5)
    | ~ r1(esk1_0,X6)
    | ~ p1(esk2_6(X6,X5,X4,X3,X1,X2)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-i_0vts3x/input.p',i_0_89) ).

cnf(i_0_1,negated_conjecture,
    ( p1(X1)
    | ~ r1(esk56_0,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-i_0vts3x/input.p',i_0_1) ).

cnf(i_0_81,negated_conjecture,
    ( p1(X1)
    | ~ r1(X2,X1)
    | ~ r1(X3,X2)
    | ~ r1(X4,X3)
    | ~ r1(X5,X4)
    | ~ r1(X6,X5)
    | ~ r1(X7,X6)
    | ~ r1(esk1_0,X7)
    | ~ p1(esk6_5(X7,X6,X5,X4,X3)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-i_0vts3x/input.p',i_0_81) ).

cnf(c_0_103,negated_conjecture,
    ( p1(X1)
    | r1(X2,esk6_5(X3,X4,X5,X6,X2))
    | ~ r1(X7,X1)
    | ~ r1(X6,X2)
    | ~ r1(X5,X6)
    | ~ r1(X4,X5)
    | ~ r1(X3,X4)
    | ~ r1(X2,X7)
    | ~ r1(esk1_0,X3) ),
    i_0_82 ).

cnf(c_0_104,negated_conjecture,
    r1(esk1_0,esk52_0),
    i_0_7 ).

cnf(c_0_105,negated_conjecture,
    ( r1(X1,esk7_5(X2,X3,X4,X5,X1))
    | ~ r1(X5,X1)
    | ~ r1(X4,X5)
    | ~ r1(X3,X4)
    | ~ r1(X2,X3)
    | ~ r1(esk1_0,X2) ),
    i_0_80 ).

cnf(c_0_106,negated_conjecture,
    ( p1(X1)
    | r1(X2,esk2_6(X3,X4,X5,X6,X1,X2))
    | ~ r1(X1,X2)
    | ~ r1(X6,X1)
    | ~ r1(X5,X6)
    | ~ r1(X4,X5)
    | ~ r1(X3,X4)
    | ~ r1(esk1_0,X3) ),
    i_0_90 ).

cnf(c_0_107,negated_conjecture,
    ( p1(X1)
    | r1(X2,esk6_5(esk52_0,X3,X4,X5,X2))
    | ~ r1(esk52_0,X3)
    | ~ r1(X6,X1)
    | ~ r1(X5,X2)
    | ~ r1(X4,X5)
    | ~ r1(X3,X4)
    | ~ r1(X2,X6) ),
    inference(spm,[status(thm)],[c_0_103,c_0_104]) ).

cnf(c_0_108,negated_conjecture,
    r1(esk52_0,esk53_0),
    i_0_6 ).

cnf(c_0_109,negated_conjecture,
    ( r1(X1,esk7_5(esk52_0,X2,X3,X4,X1))
    | ~ r1(esk52_0,X2)
    | ~ r1(X4,X1)
    | ~ r1(X3,X4)
    | ~ r1(X2,X3) ),
    inference(spm,[status(thm)],[c_0_105,c_0_104]) ).

cnf(c_0_110,negated_conjecture,
    ( p1(X1)
    | r1(X2,esk2_6(esk52_0,X3,X4,X5,X1,X2))
    | ~ r1(esk52_0,X3)
    | ~ r1(X5,X1)
    | ~ r1(X4,X5)
    | ~ r1(X3,X4)
    | ~ r1(X1,X2) ),
    inference(spm,[status(thm)],[c_0_106,c_0_104]) ).

cnf(c_0_111,negated_conjecture,
    ( p1(X1)
    | r1(X2,esk6_5(esk52_0,esk53_0,X3,X4,X2))
    | ~ r1(esk53_0,X3)
    | ~ r1(X5,X1)
    | ~ r1(X4,X2)
    | ~ r1(X3,X4)
    | ~ r1(X2,X5) ),
    inference(spm,[status(thm)],[c_0_107,c_0_108]) ).

cnf(c_0_112,negated_conjecture,
    r1(esk53_0,esk54_0),
    i_0_5 ).

cnf(c_0_113,negated_conjecture,
    ( r1(X1,esk7_5(esk52_0,esk53_0,X2,X3,X1))
    | ~ r1(esk53_0,X2)
    | ~ r1(X3,X1)
    | ~ r1(X2,X3) ),
    inference(spm,[status(thm)],[c_0_109,c_0_108]) ).

cnf(c_0_114,negated_conjecture,
    ( p1(X1)
    | r1(X2,esk2_6(esk52_0,esk53_0,X3,X4,X1,X2))
    | ~ r1(esk53_0,X3)
    | ~ r1(X4,X1)
    | ~ r1(X3,X4)
    | ~ r1(X1,X2) ),
    inference(spm,[status(thm)],[c_0_110,c_0_108]) ).

cnf(c_0_115,negated_conjecture,
    ( p1(X1)
    | r1(X2,esk6_5(esk52_0,esk53_0,esk54_0,X3,X2))
    | ~ r1(esk54_0,X3)
    | ~ r1(X4,X1)
    | ~ r1(X3,X2)
    | ~ r1(X2,X4) ),
    inference(spm,[status(thm)],[c_0_111,c_0_112]) ).

cnf(c_0_116,negated_conjecture,
    r1(esk54_0,esk55_0),
    i_0_4 ).

cnf(c_0_117,negated_conjecture,
    ( r1(X1,esk7_5(esk52_0,esk53_0,esk54_0,X2,X1))
    | ~ r1(esk54_0,X2)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_113,c_0_112]) ).

cnf(c_0_118,negated_conjecture,
    ( p1(X1)
    | r1(X2,esk2_6(esk52_0,esk53_0,esk54_0,X3,X1,X2))
    | ~ r1(esk54_0,X3)
    | ~ r1(X3,X1)
    | ~ r1(X1,X2) ),
    inference(spm,[status(thm)],[c_0_114,c_0_112]) ).

cnf(c_0_119,negated_conjecture,
    ( p1(X1)
    | r1(X2,esk6_5(esk52_0,esk53_0,esk54_0,esk55_0,X2))
    | ~ r1(esk55_0,X2)
    | ~ r1(X3,X1)
    | ~ r1(X2,X3) ),
    inference(spm,[status(thm)],[c_0_115,c_0_116]) ).

cnf(c_0_120,negated_conjecture,
    r1(esk55_0,esk56_0),
    i_0_3 ).

cnf(c_0_121,negated_conjecture,
    ( r1(X1,esk7_5(esk52_0,esk53_0,esk54_0,esk55_0,X1))
    | ~ r1(esk55_0,X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_116]) ).

cnf(c_0_122,negated_conjecture,
    ( p1(X1)
    | r1(X2,esk2_6(esk52_0,esk53_0,esk54_0,esk55_0,X1,X2))
    | ~ r1(esk55_0,X1)
    | ~ r1(X1,X2) ),
    inference(spm,[status(thm)],[c_0_118,c_0_116]) ).

cnf(c_0_123,negated_conjecture,
    ~ p1(esk56_0),
    i_0_2 ).

cnf(c_0_124,negated_conjecture,
    ( p1(X1)
    | r1(esk56_0,esk6_5(esk52_0,esk53_0,esk54_0,esk55_0,esk56_0))
    | ~ r1(esk56_0,X2)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_119,c_0_120]) ).

cnf(c_0_125,negated_conjecture,
    r1(esk56_0,esk7_5(esk52_0,esk53_0,esk54_0,esk55_0,esk56_0)),
    inference(spm,[status(thm)],[c_0_121,c_0_120]) ).

cnf(c_0_126,negated_conjecture,
    ( r1(X1,esk2_6(esk52_0,esk53_0,esk54_0,esk55_0,esk56_0,X1))
    | ~ r1(esk56_0,X1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_120]),c_0_123]) ).

cnf(c_0_127,negated_conjecture,
    ( p1(X1)
    | r1(esk56_0,esk6_5(esk52_0,esk53_0,esk54_0,esk55_0,esk56_0))
    | ~ r1(esk7_5(esk52_0,esk53_0,esk54_0,esk55_0,esk56_0),X1) ),
    inference(spm,[status(thm)],[c_0_124,c_0_125]) ).

cnf(c_0_128,negated_conjecture,
    r1(esk7_5(esk52_0,esk53_0,esk54_0,esk55_0,esk56_0),esk2_6(esk52_0,esk53_0,esk54_0,esk55_0,esk56_0,esk7_5(esk52_0,esk53_0,esk54_0,esk55_0,esk56_0))),
    inference(spm,[status(thm)],[c_0_126,c_0_125]) ).

cnf(c_0_129,negated_conjecture,
    ( p1(X1)
    | ~ r1(X1,X2)
    | ~ r1(X3,X1)
    | ~ r1(X4,X3)
    | ~ r1(X5,X4)
    | ~ r1(X6,X5)
    | ~ r1(esk1_0,X6)
    | ~ p1(esk2_6(X6,X5,X4,X3,X1,X2)) ),
    i_0_89 ).

cnf(c_0_130,negated_conjecture,
    ( p1(esk2_6(esk52_0,esk53_0,esk54_0,esk55_0,esk56_0,esk7_5(esk52_0,esk53_0,esk54_0,esk55_0,esk56_0)))
    | r1(esk56_0,esk6_5(esk52_0,esk53_0,esk54_0,esk55_0,esk56_0)) ),
    inference(spm,[status(thm)],[c_0_127,c_0_128]) ).

cnf(c_0_131,negated_conjecture,
    ( p1(X1)
    | ~ r1(esk56_0,X1) ),
    i_0_1 ).

cnf(c_0_132,negated_conjecture,
    r1(esk56_0,esk6_5(esk52_0,esk53_0,esk54_0,esk55_0,esk56_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_130]),c_0_104]),c_0_108]),c_0_112]),c_0_116]),c_0_120]),c_0_125])]),c_0_123]) ).

cnf(c_0_133,negated_conjecture,
    ( p1(X1)
    | ~ r1(X2,X1)
    | ~ r1(X3,X2)
    | ~ r1(X4,X3)
    | ~ r1(X5,X4)
    | ~ r1(X6,X5)
    | ~ r1(X7,X6)
    | ~ r1(esk1_0,X7)
    | ~ p1(esk6_5(X7,X6,X5,X4,X3)) ),
    i_0_81 ).

cnf(c_0_134,negated_conjecture,
    p1(esk6_5(esk52_0,esk53_0,esk54_0,esk55_0,esk56_0)),
    inference(spm,[status(thm)],[c_0_131,c_0_132]) ).

cnf(c_0_135,negated_conjecture,
    ( p1(X1)
    | ~ r1(esk56_0,X2)
    | ~ r1(X2,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_134]),c_0_104]),c_0_108]),c_0_112]),c_0_116]),c_0_120])]) ).

cnf(c_0_136,negated_conjecture,
    ( p1(X1)
    | ~ r1(esk6_5(esk52_0,esk53_0,esk54_0,esk55_0,esk56_0),X1) ),
    inference(spm,[status(thm)],[c_0_135,c_0_132]) ).

cnf(c_0_137,negated_conjecture,
    r1(esk6_5(esk52_0,esk53_0,esk54_0,esk55_0,esk56_0),esk2_6(esk52_0,esk53_0,esk54_0,esk55_0,esk56_0,esk6_5(esk52_0,esk53_0,esk54_0,esk55_0,esk56_0))),
    inference(spm,[status(thm)],[c_0_126,c_0_132]) ).

cnf(c_0_138,negated_conjecture,
    p1(esk2_6(esk52_0,esk53_0,esk54_0,esk55_0,esk56_0,esk6_5(esk52_0,esk53_0,esk54_0,esk55_0,esk56_0))),
    inference(spm,[status(thm)],[c_0_136,c_0_137]) ).

cnf(c_0_139,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_138]),c_0_104]),c_0_108]),c_0_112]),c_0_116]),c_0_120]),c_0_132])]),c_0_123]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : LCL638+1.005 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.34  % Computer : n029.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Sat Jul  2 18:46:27 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.45  # ENIGMATIC: Selected complete mode:
% 11.75/2.87  # ENIGMATIC: Solved by autoschedule:
% 11.75/2.87  # No SInE strategy applied
% 11.75/2.87  # Trying AutoSched0 for 150 seconds
% 11.75/2.87  # AutoSched0-Mode selected heuristic H_____102_C18_F1_PI_AE_Q4_CS_SP_S1S
% 11.75/2.87  # and selection function SelectComplexAHP.
% 11.75/2.87  #
% 11.75/2.87  # Preprocessing time       : 0.026 s
% 11.75/2.87  
% 11.75/2.87  # Proof found!
% 11.75/2.87  # SZS status Theorem
% 11.75/2.87  # SZS output start CNFRefutation
% See solution above
% 11.75/2.87  # Training examples: 0 positive, 0 negative
% 11.75/2.87  
% 11.75/2.87  # -------------------------------------------------
% 11.75/2.87  # User time                : 0.218 s
% 11.75/2.87  # System time              : 0.009 s
% 11.75/2.87  # Total time               : 0.227 s
% 11.75/2.87  # Maximum resident set size: 7120 pages
% 11.75/2.87  
%------------------------------------------------------------------------------