TSTP Solution File: LCL674+1.015 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : LCL674+1.015 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n014.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 09:31:51 EDT 2022

% Result   : Theorem 11.37s 2.89s
% Output   : CNFRefutation 11.37s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   24
%            Number of leaves      :   23
% Syntax   : Number of clauses     :   80 (  35 unt;  22 nHn;  78 RR)
%            Number of literals    :  195 (   0 equ; 101 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :   11 (  10 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   1 con; 0-1 aty)
%            Number of variables   :   51 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_5,negated_conjecture,
    ( epred1_1(X1)
    | ~ r1(esk1_0,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-i_5049tf/input.p',i_0_5) ).

cnf(i_0_1,plain,
    r1(X1,X1),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-i_5049tf/input.p',i_0_1) ).

cnf(i_0_62,plain,
    ( p101(X1)
    | r1(X1,esk30_1(X1))
    | ~ p100(X1)
    | ~ epred1_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-i_5049tf/input.p',i_0_62) ).

cnf(i_0_3,negated_conjecture,
    p100(esk1_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-i_5049tf/input.p',i_0_3) ).

cnf(i_0_4,negated_conjecture,
    ~ p101(esk1_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-i_5049tf/input.p',i_0_4) ).

cnf(i_0_59,plain,
    ( p101(X1)
    | p101(esk30_1(X1))
    | ~ p100(X1)
    | ~ epred1_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-i_5049tf/input.p',i_0_59) ).

cnf(i_0_60,plain,
    ( p101(X1)
    | ~ p100(X1)
    | ~ epred1_1(X1)
    | ~ p102(esk30_1(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-i_5049tf/input.p',i_0_60) ).

cnf(i_0_70,plain,
    ( p102(X1)
    | r1(X1,esk28_1(X1))
    | ~ p101(X1)
    | ~ epred1_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-i_5049tf/input.p',i_0_70) ).

cnf(i_0_2,plain,
    ( r1(X1,X2)
    | ~ r1(X3,X2)
    | ~ r1(X1,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-i_5049tf/input.p',i_0_2) ).

cnf(i_0_67,plain,
    ( p102(X1)
    | p102(esk28_1(X1))
    | ~ p101(X1)
    | ~ epred1_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-i_5049tf/input.p',i_0_67) ).

cnf(i_0_68,plain,
    ( p102(X1)
    | ~ p101(X1)
    | ~ epred1_1(X1)
    | ~ p103(esk28_1(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-i_5049tf/input.p',i_0_68) ).

cnf(i_0_78,plain,
    ( p103(X1)
    | r1(X1,esk26_1(X1))
    | ~ p102(X1)
    | ~ epred1_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-i_5049tf/input.p',i_0_78) ).

cnf(i_0_75,plain,
    ( p103(X1)
    | p103(esk26_1(X1))
    | ~ p102(X1)
    | ~ epred1_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-i_5049tf/input.p',i_0_75) ).

cnf(i_0_76,plain,
    ( p103(X1)
    | ~ p102(X1)
    | ~ epred1_1(X1)
    | ~ p104(esk26_1(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-i_5049tf/input.p',i_0_76) ).

cnf(i_0_86,plain,
    ( p104(X1)
    | r1(X1,esk24_1(X1))
    | ~ p103(X1)
    | ~ epred1_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-i_5049tf/input.p',i_0_86) ).

cnf(i_0_83,plain,
    ( p104(X1)
    | p104(esk24_1(X1))
    | ~ p103(X1)
    | ~ epred1_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-i_5049tf/input.p',i_0_83) ).

cnf(i_0_84,plain,
    ( p104(X1)
    | ~ p103(X1)
    | ~ epred1_1(X1)
    | ~ p105(esk24_1(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-i_5049tf/input.p',i_0_84) ).

cnf(i_0_94,plain,
    ( p105(X1)
    | r1(X1,esk22_1(X1))
    | ~ p104(X1)
    | ~ epred1_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-i_5049tf/input.p',i_0_94) ).

cnf(i_0_91,plain,
    ( p105(X1)
    | p105(esk22_1(X1))
    | ~ p104(X1)
    | ~ epred1_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-i_5049tf/input.p',i_0_91) ).

cnf(i_0_92,plain,
    ( p105(X1)
    | ~ p104(X1)
    | ~ epred1_1(X1)
    | ~ p106(esk22_1(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-i_5049tf/input.p',i_0_92) ).

cnf(i_0_102,plain,
    ( p106(X1)
    | r1(X1,esk20_1(X1))
    | ~ p105(X1)
    | ~ epred1_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-i_5049tf/input.p',i_0_102) ).

cnf(i_0_101,plain,
    ( p106(X1)
    | ~ p105(X1)
    | ~ epred1_1(X1)
    | ~ p7(esk20_1(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-i_5049tf/input.p',i_0_101) ).

cnf(i_0_6,negated_conjecture,
    ( p7(X1)
    | ~ r1(esk1_0,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-i_5049tf/input.p',i_0_6) ).

cnf(c_0_126,negated_conjecture,
    ( epred1_1(X1)
    | ~ r1(esk1_0,X1) ),
    i_0_5 ).

cnf(c_0_127,plain,
    r1(X1,X1),
    i_0_1 ).

cnf(c_0_128,plain,
    ( p101(X1)
    | r1(X1,esk30_1(X1))
    | ~ p100(X1)
    | ~ epred1_1(X1) ),
    i_0_62 ).

cnf(c_0_129,plain,
    epred1_1(esk1_0),
    inference(spm,[status(thm)],[c_0_126,c_0_127]) ).

cnf(c_0_130,negated_conjecture,
    p100(esk1_0),
    i_0_3 ).

cnf(c_0_131,negated_conjecture,
    ~ p101(esk1_0),
    i_0_4 ).

cnf(c_0_132,plain,
    r1(esk1_0,esk30_1(esk1_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_129]),c_0_130])]),c_0_131]) ).

cnf(c_0_133,plain,
    ( p101(X1)
    | p101(esk30_1(X1))
    | ~ p100(X1)
    | ~ epred1_1(X1) ),
    i_0_59 ).

cnf(c_0_134,plain,
    ( p101(X1)
    | ~ p100(X1)
    | ~ epred1_1(X1)
    | ~ p102(esk30_1(X1)) ),
    i_0_60 ).

cnf(c_0_135,plain,
    ( p102(X1)
    | r1(X1,esk28_1(X1))
    | ~ p101(X1)
    | ~ epred1_1(X1) ),
    i_0_70 ).

cnf(c_0_136,negated_conjecture,
    epred1_1(esk30_1(esk1_0)),
    inference(spm,[status(thm)],[c_0_126,c_0_132]) ).

cnf(c_0_137,plain,
    p101(esk30_1(esk1_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_129]),c_0_130])]),c_0_131]) ).

cnf(c_0_138,plain,
    ~ p102(esk30_1(esk1_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_129]),c_0_130])]),c_0_131]) ).

cnf(c_0_139,plain,
    ( r1(X1,X2)
    | ~ r1(X3,X2)
    | ~ r1(X1,X3) ),
    i_0_2 ).

cnf(c_0_140,plain,
    r1(esk30_1(esk1_0),esk28_1(esk30_1(esk1_0))),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_136]),c_0_137])]),c_0_138]) ).

cnf(c_0_141,plain,
    ( r1(X1,esk28_1(esk30_1(esk1_0)))
    | ~ r1(X1,esk30_1(esk1_0)) ),
    inference(spm,[status(thm)],[c_0_139,c_0_140]) ).

cnf(c_0_142,plain,
    r1(esk1_0,esk28_1(esk30_1(esk1_0))),
    inference(spm,[status(thm)],[c_0_141,c_0_132]) ).

cnf(c_0_143,plain,
    ( p102(X1)
    | p102(esk28_1(X1))
    | ~ p101(X1)
    | ~ epred1_1(X1) ),
    i_0_67 ).

cnf(c_0_144,plain,
    ( p102(X1)
    | ~ p101(X1)
    | ~ epred1_1(X1)
    | ~ p103(esk28_1(X1)) ),
    i_0_68 ).

cnf(c_0_145,plain,
    ( p103(X1)
    | r1(X1,esk26_1(X1))
    | ~ p102(X1)
    | ~ epred1_1(X1) ),
    i_0_78 ).

cnf(c_0_146,negated_conjecture,
    epred1_1(esk28_1(esk30_1(esk1_0))),
    inference(spm,[status(thm)],[c_0_126,c_0_142]) ).

cnf(c_0_147,plain,
    p102(esk28_1(esk30_1(esk1_0))),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_136]),c_0_137])]),c_0_138]) ).

cnf(c_0_148,plain,
    ~ p103(esk28_1(esk30_1(esk1_0))),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_136]),c_0_137])]),c_0_138]) ).

cnf(c_0_149,plain,
    r1(esk28_1(esk30_1(esk1_0)),esk26_1(esk28_1(esk30_1(esk1_0)))),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_146]),c_0_147])]),c_0_148]) ).

cnf(c_0_150,plain,
    ( r1(X1,esk26_1(esk28_1(esk30_1(esk1_0))))
    | ~ r1(X1,esk28_1(esk30_1(esk1_0))) ),
    inference(spm,[status(thm)],[c_0_139,c_0_149]) ).

cnf(c_0_151,plain,
    r1(esk1_0,esk26_1(esk28_1(esk30_1(esk1_0)))),
    inference(spm,[status(thm)],[c_0_150,c_0_142]) ).

cnf(c_0_152,plain,
    ( p103(X1)
    | p103(esk26_1(X1))
    | ~ p102(X1)
    | ~ epred1_1(X1) ),
    i_0_75 ).

cnf(c_0_153,plain,
    ( p103(X1)
    | ~ p102(X1)
    | ~ epred1_1(X1)
    | ~ p104(esk26_1(X1)) ),
    i_0_76 ).

cnf(c_0_154,plain,
    ( p104(X1)
    | r1(X1,esk24_1(X1))
    | ~ p103(X1)
    | ~ epred1_1(X1) ),
    i_0_86 ).

cnf(c_0_155,negated_conjecture,
    epred1_1(esk26_1(esk28_1(esk30_1(esk1_0)))),
    inference(spm,[status(thm)],[c_0_126,c_0_151]) ).

cnf(c_0_156,plain,
    p103(esk26_1(esk28_1(esk30_1(esk1_0)))),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_146]),c_0_147])]),c_0_148]) ).

cnf(c_0_157,plain,
    ~ p104(esk26_1(esk28_1(esk30_1(esk1_0)))),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_146]),c_0_147])]),c_0_148]) ).

cnf(c_0_158,plain,
    r1(esk26_1(esk28_1(esk30_1(esk1_0))),esk24_1(esk26_1(esk28_1(esk30_1(esk1_0))))),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_155]),c_0_156])]),c_0_157]) ).

cnf(c_0_159,plain,
    ( r1(X1,esk24_1(esk26_1(esk28_1(esk30_1(esk1_0)))))
    | ~ r1(X1,esk26_1(esk28_1(esk30_1(esk1_0)))) ),
    inference(spm,[status(thm)],[c_0_139,c_0_158]) ).

cnf(c_0_160,plain,
    r1(esk1_0,esk24_1(esk26_1(esk28_1(esk30_1(esk1_0))))),
    inference(spm,[status(thm)],[c_0_159,c_0_151]) ).

cnf(c_0_161,plain,
    ( p104(X1)
    | p104(esk24_1(X1))
    | ~ p103(X1)
    | ~ epred1_1(X1) ),
    i_0_83 ).

cnf(c_0_162,plain,
    ( p104(X1)
    | ~ p103(X1)
    | ~ epred1_1(X1)
    | ~ p105(esk24_1(X1)) ),
    i_0_84 ).

cnf(c_0_163,plain,
    ( p105(X1)
    | r1(X1,esk22_1(X1))
    | ~ p104(X1)
    | ~ epred1_1(X1) ),
    i_0_94 ).

cnf(c_0_164,negated_conjecture,
    epred1_1(esk24_1(esk26_1(esk28_1(esk30_1(esk1_0))))),
    inference(spm,[status(thm)],[c_0_126,c_0_160]) ).

cnf(c_0_165,plain,
    p104(esk24_1(esk26_1(esk28_1(esk30_1(esk1_0))))),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_155]),c_0_156])]),c_0_157]) ).

cnf(c_0_166,plain,
    ~ p105(esk24_1(esk26_1(esk28_1(esk30_1(esk1_0))))),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_155]),c_0_156])]),c_0_157]) ).

cnf(c_0_167,plain,
    r1(esk24_1(esk26_1(esk28_1(esk30_1(esk1_0)))),esk22_1(esk24_1(esk26_1(esk28_1(esk30_1(esk1_0)))))),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_164]),c_0_165])]),c_0_166]) ).

cnf(c_0_168,plain,
    ( r1(X1,esk22_1(esk24_1(esk26_1(esk28_1(esk30_1(esk1_0))))))
    | ~ r1(X1,esk24_1(esk26_1(esk28_1(esk30_1(esk1_0))))) ),
    inference(spm,[status(thm)],[c_0_139,c_0_167]) ).

cnf(c_0_169,plain,
    r1(esk1_0,esk22_1(esk24_1(esk26_1(esk28_1(esk30_1(esk1_0)))))),
    inference(spm,[status(thm)],[c_0_168,c_0_160]) ).

cnf(c_0_170,plain,
    ( p105(X1)
    | p105(esk22_1(X1))
    | ~ p104(X1)
    | ~ epred1_1(X1) ),
    i_0_91 ).

cnf(c_0_171,plain,
    ( p105(X1)
    | ~ p104(X1)
    | ~ epred1_1(X1)
    | ~ p106(esk22_1(X1)) ),
    i_0_92 ).

cnf(c_0_172,plain,
    ( p106(X1)
    | r1(X1,esk20_1(X1))
    | ~ p105(X1)
    | ~ epred1_1(X1) ),
    i_0_102 ).

cnf(c_0_173,negated_conjecture,
    epred1_1(esk22_1(esk24_1(esk26_1(esk28_1(esk30_1(esk1_0)))))),
    inference(spm,[status(thm)],[c_0_126,c_0_169]) ).

cnf(c_0_174,plain,
    p105(esk22_1(esk24_1(esk26_1(esk28_1(esk30_1(esk1_0)))))),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_164]),c_0_165])]),c_0_166]) ).

cnf(c_0_175,plain,
    ~ p106(esk22_1(esk24_1(esk26_1(esk28_1(esk30_1(esk1_0)))))),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_164]),c_0_165])]),c_0_166]) ).

cnf(c_0_176,plain,
    r1(esk22_1(esk24_1(esk26_1(esk28_1(esk30_1(esk1_0))))),esk20_1(esk22_1(esk24_1(esk26_1(esk28_1(esk30_1(esk1_0))))))),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_173]),c_0_174])]),c_0_175]) ).

cnf(c_0_177,plain,
    ( r1(X1,esk20_1(esk22_1(esk24_1(esk26_1(esk28_1(esk30_1(esk1_0)))))))
    | ~ r1(X1,esk22_1(esk24_1(esk26_1(esk28_1(esk30_1(esk1_0)))))) ),
    inference(spm,[status(thm)],[c_0_139,c_0_176]) ).

cnf(c_0_178,plain,
    ( p106(X1)
    | ~ p105(X1)
    | ~ epred1_1(X1)
    | ~ p7(esk20_1(X1)) ),
    i_0_101 ).

cnf(c_0_179,negated_conjecture,
    ( p7(X1)
    | ~ r1(esk1_0,X1) ),
    i_0_6 ).

cnf(c_0_180,plain,
    r1(esk1_0,esk20_1(esk22_1(esk24_1(esk26_1(esk28_1(esk30_1(esk1_0))))))),
    inference(spm,[status(thm)],[c_0_177,c_0_169]) ).

cnf(c_0_181,plain,
    ~ p7(esk20_1(esk22_1(esk24_1(esk26_1(esk28_1(esk30_1(esk1_0))))))),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_173]),c_0_174])]),c_0_175]) ).

cnf(c_0_182,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_180]),c_0_181]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : LCL674+1.015 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.34  % Computer : n014.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Sat Jul  2 11:19:42 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.45  # ENIGMATIC: Selected complete mode:
% 11.37/2.89  # ENIGMATIC: Solved by autoschedule:
% 11.37/2.89  # No SInE strategy applied
% 11.37/2.89  # Trying AutoSched0 for 150 seconds
% 11.37/2.89  # AutoSched0-Mode selected heuristic G_E___107_C00_02_nc_F1_PI_AE_Q4_CS_SP_PS_S071I
% 11.37/2.89  # and selection function SelectCQArEqLast.
% 11.37/2.89  #
% 11.37/2.89  # Preprocessing time       : 0.015 s
% 11.37/2.89  # Presaturation interreduction done
% 11.37/2.89  
% 11.37/2.89  # Proof found!
% 11.37/2.89  # SZS status Theorem
% 11.37/2.89  # SZS output start CNFRefutation
% See solution above
% 11.37/2.89  # Training examples: 0 positive, 0 negative
% 11.37/2.89  
% 11.37/2.89  # -------------------------------------------------
% 11.37/2.89  # User time                : 0.485 s
% 11.37/2.89  # System time              : 0.014 s
% 11.37/2.89  # Total time               : 0.500 s
% 11.37/2.89  # Maximum resident set size: 7124 pages
% 11.37/2.89  
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