TSTP Solution File: LCL664+1.005 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : LCL664+1.005 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n007.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 09:30:57 EDT 2022

% Result   : Theorem 16.08s 3.44s
% Output   : CNFRefutation 16.08s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   47 (  13 unt;  20 nHn;  47 RR)
%            Number of literals    :  145 (   0 equ;  80 neg)
%            Maximal clause size   :    6 (   3 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   2 con; 0-4 aty)
%            Number of variables   :   70 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_29,negated_conjecture,
    ( p21(X1)
    | r1(X1,esk56_2(X2,X1))
    | ~ r1(X2,X1)
    | ~ r1(esk1_0,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hkthcap4/lgb.p',i_0_29) ).

cnf(i_0_5,negated_conjecture,
    r1(esk1_0,esk68_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hkthcap4/lgb.p',i_0_5) ).

cnf(i_0_15,negated_conjecture,
    ( p12(X1)
    | r1(X1,esk63_1(X1))
    | ~ r1(esk1_0,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hkthcap4/lgb.p',i_0_15) ).

cnf(i_0_4,negated_conjecture,
    ~ p12(esk68_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hkthcap4/lgb.p',i_0_4) ).

cnf(i_0_71,negated_conjecture,
    ( p34(X1)
    | r1(X1,esk35_3(X2,X3,X1))
    | ~ r1(X3,X1)
    | ~ r1(X2,X3)
    | ~ r1(esk1_0,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hkthcap4/lgb.p',i_0_71) ).

cnf(i_0_14,negated_conjecture,
    ( p12(X1)
    | ~ p21(esk63_1(X1))
    | ~ r1(esk1_0,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hkthcap4/lgb.p',i_0_14) ).

cnf(i_0_93,negated_conjecture,
    ( p41(X1)
    | r1(X1,esk24_4(X2,X3,X4,X1))
    | ~ r1(X4,X1)
    | ~ r1(X3,X4)
    | ~ r1(X2,X3)
    | ~ r1(esk1_0,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hkthcap4/lgb.p',i_0_93) ).

cnf(i_0_28,negated_conjecture,
    ( p21(X1)
    | ~ r1(X2,X1)
    | ~ r1(esk1_0,X2)
    | ~ p34(esk56_2(X2,X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hkthcap4/lgb.p',i_0_28) ).

cnf(i_0_140,negated_conjecture,
    ( p54(X1)
    | ~ r1(X2,X1)
    | ~ r1(X3,X2)
    | ~ r1(X4,X3)
    | ~ r1(X5,X4)
    | ~ r1(esk1_0,X5) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hkthcap4/lgb.p',i_0_140) ).

cnf(i_0_70,negated_conjecture,
    ( p34(X1)
    | ~ r1(X2,X1)
    | ~ r1(X3,X2)
    | ~ r1(esk1_0,X3)
    | ~ p41(esk35_3(X3,X2,X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hkthcap4/lgb.p',i_0_70) ).

cnf(i_0_92,negated_conjecture,
    ( p41(X1)
    | ~ r1(X2,X1)
    | ~ r1(X3,X2)
    | ~ r1(X4,X3)
    | ~ r1(esk1_0,X4)
    | ~ p54(esk24_4(X4,X3,X2,X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-hkthcap4/lgb.p',i_0_92) ).

cnf(c_0_152,negated_conjecture,
    ( p21(X1)
    | r1(X1,esk56_2(X2,X1))
    | ~ r1(X2,X1)
    | ~ r1(esk1_0,X2) ),
    i_0_29 ).

cnf(c_0_153,negated_conjecture,
    r1(esk1_0,esk68_0),
    i_0_5 ).

cnf(c_0_154,negated_conjecture,
    ( p12(X1)
    | r1(X1,esk63_1(X1))
    | ~ r1(esk1_0,X1) ),
    i_0_15 ).

cnf(c_0_155,negated_conjecture,
    ~ p12(esk68_0),
    i_0_4 ).

cnf(c_0_156,negated_conjecture,
    ( p34(X1)
    | r1(X1,esk35_3(X2,X3,X1))
    | ~ r1(X3,X1)
    | ~ r1(X2,X3)
    | ~ r1(esk1_0,X2) ),
    i_0_71 ).

cnf(c_0_157,negated_conjecture,
    ( p21(X1)
    | r1(X1,esk56_2(esk68_0,X1))
    | ~ r1(esk68_0,X1) ),
    inference(spm,[status(thm)],[c_0_152,c_0_153]) ).

cnf(c_0_158,negated_conjecture,
    r1(esk68_0,esk63_1(esk68_0)),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_153]),c_0_155]) ).

cnf(c_0_159,negated_conjecture,
    ( p34(X1)
    | r1(X1,esk35_3(esk68_0,X2,X1))
    | ~ r1(esk68_0,X2)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_156,c_0_153]) ).

cnf(c_0_160,negated_conjecture,
    ( p12(X1)
    | ~ p21(esk63_1(X1))
    | ~ r1(esk1_0,X1) ),
    i_0_14 ).

cnf(c_0_161,negated_conjecture,
    ( p21(esk63_1(esk68_0))
    | r1(esk63_1(esk68_0),esk56_2(esk68_0,esk63_1(esk68_0))) ),
    inference(spm,[status(thm)],[c_0_157,c_0_158]) ).

cnf(c_0_162,negated_conjecture,
    ( p41(X1)
    | r1(X1,esk24_4(X2,X3,X4,X1))
    | ~ r1(X4,X1)
    | ~ r1(X3,X4)
    | ~ r1(X2,X3)
    | ~ r1(esk1_0,X2) ),
    i_0_93 ).

cnf(c_0_163,negated_conjecture,
    ( p34(X1)
    | r1(X1,esk35_3(esk68_0,esk63_1(esk68_0),X1))
    | ~ r1(esk63_1(esk68_0),X1) ),
    inference(spm,[status(thm)],[c_0_159,c_0_158]) ).

cnf(c_0_164,negated_conjecture,
    r1(esk63_1(esk68_0),esk56_2(esk68_0,esk63_1(esk68_0))),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_161]),c_0_153])]),c_0_155]) ).

cnf(c_0_165,negated_conjecture,
    ( p41(X1)
    | r1(X1,esk24_4(esk68_0,X2,X3,X1))
    | ~ r1(esk68_0,X2)
    | ~ r1(X3,X1)
    | ~ r1(X2,X3) ),
    inference(spm,[status(thm)],[c_0_162,c_0_153]) ).

cnf(c_0_166,negated_conjecture,
    ( p21(X1)
    | ~ r1(X2,X1)
    | ~ r1(esk1_0,X2)
    | ~ p34(esk56_2(X2,X1)) ),
    i_0_28 ).

cnf(c_0_167,negated_conjecture,
    ( p34(esk56_2(esk68_0,esk63_1(esk68_0)))
    | r1(esk56_2(esk68_0,esk63_1(esk68_0)),esk35_3(esk68_0,esk63_1(esk68_0),esk56_2(esk68_0,esk63_1(esk68_0)))) ),
    inference(spm,[status(thm)],[c_0_163,c_0_164]) ).

cnf(c_0_168,negated_conjecture,
    ( p41(X1)
    | r1(X1,esk24_4(esk68_0,esk63_1(esk68_0),X2,X1))
    | ~ r1(esk63_1(esk68_0),X2)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_165,c_0_158]) ).

cnf(c_0_169,negated_conjecture,
    ( p21(esk63_1(esk68_0))
    | r1(esk56_2(esk68_0,esk63_1(esk68_0)),esk35_3(esk68_0,esk63_1(esk68_0),esk56_2(esk68_0,esk63_1(esk68_0)))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_167]),c_0_153]),c_0_158])]) ).

cnf(c_0_170,negated_conjecture,
    ( p54(X1)
    | ~ r1(X2,X1)
    | ~ r1(X3,X2)
    | ~ r1(X4,X3)
    | ~ r1(X5,X4)
    | ~ r1(esk1_0,X5) ),
    i_0_140 ).

cnf(c_0_171,negated_conjecture,
    ( p41(X1)
    | r1(X1,esk24_4(esk68_0,esk63_1(esk68_0),esk56_2(esk68_0,esk63_1(esk68_0)),X1))
    | ~ r1(esk56_2(esk68_0,esk63_1(esk68_0)),X1) ),
    inference(spm,[status(thm)],[c_0_168,c_0_164]) ).

cnf(c_0_172,negated_conjecture,
    r1(esk56_2(esk68_0,esk63_1(esk68_0)),esk35_3(esk68_0,esk63_1(esk68_0),esk56_2(esk68_0,esk63_1(esk68_0)))),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_169]),c_0_153])]),c_0_155]) ).

cnf(c_0_173,negated_conjecture,
    ( p54(X1)
    | ~ r1(esk68_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X1) ),
    inference(spm,[status(thm)],[c_0_170,c_0_153]) ).

cnf(c_0_174,negated_conjecture,
    ( p34(X1)
    | ~ r1(X2,X1)
    | ~ r1(X3,X2)
    | ~ r1(esk1_0,X3)
    | ~ p41(esk35_3(X3,X2,X1)) ),
    i_0_70 ).

cnf(c_0_175,negated_conjecture,
    ( p41(esk35_3(esk68_0,esk63_1(esk68_0),esk56_2(esk68_0,esk63_1(esk68_0))))
    | r1(esk35_3(esk68_0,esk63_1(esk68_0),esk56_2(esk68_0,esk63_1(esk68_0))),esk24_4(esk68_0,esk63_1(esk68_0),esk56_2(esk68_0,esk63_1(esk68_0)),esk35_3(esk68_0,esk63_1(esk68_0),esk56_2(esk68_0,esk63_1(esk68_0))))) ),
    inference(spm,[status(thm)],[c_0_171,c_0_172]) ).

cnf(c_0_176,negated_conjecture,
    ( p54(X1)
    | ~ r1(esk63_1(esk68_0),X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X1) ),
    inference(spm,[status(thm)],[c_0_173,c_0_158]) ).

cnf(c_0_177,negated_conjecture,
    ( p34(esk56_2(esk68_0,esk63_1(esk68_0)))
    | r1(esk35_3(esk68_0,esk63_1(esk68_0),esk56_2(esk68_0,esk63_1(esk68_0))),esk24_4(esk68_0,esk63_1(esk68_0),esk56_2(esk68_0,esk63_1(esk68_0)),esk35_3(esk68_0,esk63_1(esk68_0),esk56_2(esk68_0,esk63_1(esk68_0))))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_175]),c_0_153]),c_0_158]),c_0_164])]) ).

cnf(c_0_178,negated_conjecture,
    ( p54(X1)
    | ~ r1(esk56_2(esk68_0,esk63_1(esk68_0)),X2)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_176,c_0_164]) ).

cnf(c_0_179,negated_conjecture,
    ( p21(esk63_1(esk68_0))
    | r1(esk35_3(esk68_0,esk63_1(esk68_0),esk56_2(esk68_0,esk63_1(esk68_0))),esk24_4(esk68_0,esk63_1(esk68_0),esk56_2(esk68_0,esk63_1(esk68_0)),esk35_3(esk68_0,esk63_1(esk68_0),esk56_2(esk68_0,esk63_1(esk68_0))))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_177]),c_0_153]),c_0_158])]) ).

cnf(c_0_180,negated_conjecture,
    ( p54(X1)
    | ~ r1(esk35_3(esk68_0,esk63_1(esk68_0),esk56_2(esk68_0,esk63_1(esk68_0))),X1) ),
    inference(spm,[status(thm)],[c_0_178,c_0_172]) ).

cnf(c_0_181,negated_conjecture,
    r1(esk35_3(esk68_0,esk63_1(esk68_0),esk56_2(esk68_0,esk63_1(esk68_0))),esk24_4(esk68_0,esk63_1(esk68_0),esk56_2(esk68_0,esk63_1(esk68_0)),esk35_3(esk68_0,esk63_1(esk68_0),esk56_2(esk68_0,esk63_1(esk68_0))))),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_179]),c_0_153])]),c_0_155]) ).

cnf(c_0_182,negated_conjecture,
    ( p41(X1)
    | ~ r1(X2,X1)
    | ~ r1(X3,X2)
    | ~ r1(X4,X3)
    | ~ r1(esk1_0,X4)
    | ~ p54(esk24_4(X4,X3,X2,X1)) ),
    i_0_92 ).

cnf(c_0_183,negated_conjecture,
    p54(esk24_4(esk68_0,esk63_1(esk68_0),esk56_2(esk68_0,esk63_1(esk68_0)),esk35_3(esk68_0,esk63_1(esk68_0),esk56_2(esk68_0,esk63_1(esk68_0))))),
    inference(spm,[status(thm)],[c_0_180,c_0_181]) ).

cnf(c_0_184,negated_conjecture,
    p41(esk35_3(esk68_0,esk63_1(esk68_0),esk56_2(esk68_0,esk63_1(esk68_0)))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_183]),c_0_153]),c_0_158]),c_0_164]),c_0_172])]) ).

cnf(c_0_185,negated_conjecture,
    p34(esk56_2(esk68_0,esk63_1(esk68_0))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_184]),c_0_153]),c_0_158]),c_0_164])]) ).

cnf(c_0_186,negated_conjecture,
    p21(esk63_1(esk68_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_185]),c_0_153]),c_0_158])]) ).

cnf(c_0_187,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_186]),c_0_153])]),c_0_155]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : LCL664+1.005 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n007.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 17:51:28 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.44  # ENIGMATIC: Selected complete mode:
% 16.08/3.44  # ENIGMATIC: Solved by autoschedule-lgb:
% 16.08/3.44  # No SInE strategy applied
% 16.08/3.44  # Trying AutoSched0 for 150 seconds
% 16.08/3.44  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S080I
% 16.08/3.44  # and selection function SelectCQIArNXTEqFirst.
% 16.08/3.44  #
% 16.08/3.44  # Preprocessing time       : 0.031 s
% 16.08/3.44  # Presaturation interreduction done
% 16.08/3.44  
% 16.08/3.44  # Proof found!
% 16.08/3.44  # SZS status Theorem
% 16.08/3.44  # SZS output start CNFRefutation
% See solution above
% 16.08/3.44  # Training examples: 0 positive, 0 negative
% 16.08/3.44  
% 16.08/3.44  # -------------------------------------------------
% 16.08/3.44  # User time                : 0.936 s
% 16.08/3.44  # System time              : 0.013 s
% 16.08/3.44  # Total time               : 0.949 s
% 16.08/3.44  # Maximum resident set size: 7124 pages
% 16.08/3.44  
%------------------------------------------------------------------------------