TSTP Solution File: LCL674+1.020 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : LCL674+1.020 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n016.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 17.77s 3.57s
% Output   : CNFRefutation 17.77s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   26
% Syntax   : Number of clauses     :   77 (   8 unt;  36 nHn;  75 RR)
%            Number of literals    :  278 (   0 equ; 167 neg)
%            Maximal clause size   :    5 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   12 (  11 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   1 con; 0-1 aty)
%            Number of variables   :   81 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_124,plain,
    ( p107(X1)
    | ~ p106(X1)
    | ~ epred1_1(X1)
    | ~ p8(esk28_1(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4f_q3oom/input.p',i_0_124) ).

cnf(i_0_6,negated_conjecture,
    ( p8(X1)
    | ~ r1(esk1_0,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4f_q3oom/input.p',i_0_6) ).

cnf(i_0_2,plain,
    ( r1(X1,X2)
    | ~ r1(X3,X2)
    | ~ r1(X1,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4f_q3oom/input.p',i_0_2) ).

cnf(i_0_125,plain,
    ( p107(X1)
    | r1(X1,esk28_1(X1))
    | ~ p106(X1)
    | ~ epred1_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4f_q3oom/input.p',i_0_125) ).

cnf(i_0_5,negated_conjecture,
    ( epred1_1(X1)
    | ~ r1(esk1_0,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4f_q3oom/input.p',i_0_5) ).

cnf(i_0_114,plain,
    ( p106(X1)
    | p106(esk30_1(X1))
    | ~ p105(X1)
    | ~ epred1_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4f_q3oom/input.p',i_0_114) ).

cnf(i_0_115,plain,
    ( p106(X1)
    | ~ p105(X1)
    | ~ epred1_1(X1)
    | ~ p107(esk30_1(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4f_q3oom/input.p',i_0_115) ).

cnf(i_0_117,plain,
    ( p106(X1)
    | r1(X1,esk30_1(X1))
    | ~ p105(X1)
    | ~ epred1_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4f_q3oom/input.p',i_0_117) ).

cnf(i_0_106,plain,
    ( p105(X1)
    | p105(esk32_1(X1))
    | ~ p104(X1)
    | ~ epred1_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4f_q3oom/input.p',i_0_106) ).

cnf(i_0_107,plain,
    ( p105(X1)
    | ~ p104(X1)
    | ~ epred1_1(X1)
    | ~ p106(esk32_1(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4f_q3oom/input.p',i_0_107) ).

cnf(i_0_109,plain,
    ( p105(X1)
    | r1(X1,esk32_1(X1))
    | ~ p104(X1)
    | ~ epred1_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4f_q3oom/input.p',i_0_109) ).

cnf(i_0_98,plain,
    ( p104(X1)
    | p104(esk34_1(X1))
    | ~ p103(X1)
    | ~ epred1_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4f_q3oom/input.p',i_0_98) ).

cnf(i_0_99,plain,
    ( p104(X1)
    | ~ p103(X1)
    | ~ epred1_1(X1)
    | ~ p105(esk34_1(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4f_q3oom/input.p',i_0_99) ).

cnf(i_0_101,plain,
    ( p104(X1)
    | r1(X1,esk34_1(X1))
    | ~ p103(X1)
    | ~ epred1_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4f_q3oom/input.p',i_0_101) ).

cnf(i_0_90,plain,
    ( p103(X1)
    | p103(esk36_1(X1))
    | ~ p102(X1)
    | ~ epred1_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4f_q3oom/input.p',i_0_90) ).

cnf(i_0_91,plain,
    ( p103(X1)
    | ~ p102(X1)
    | ~ epred1_1(X1)
    | ~ p104(esk36_1(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4f_q3oom/input.p',i_0_91) ).

cnf(i_0_93,plain,
    ( p103(X1)
    | r1(X1,esk36_1(X1))
    | ~ p102(X1)
    | ~ epred1_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4f_q3oom/input.p',i_0_93) ).

cnf(i_0_79,plain,
    ( p102(X1)
    | ~ p101(X1)
    | ~ epred1_1(X1)
    | ~ p103(esk39_1(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4f_q3oom/input.p',i_0_79) ).

cnf(i_0_78,plain,
    ( p102(X1)
    | p102(esk39_1(X1))
    | ~ p101(X1)
    | ~ epred1_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4f_q3oom/input.p',i_0_78) ).

cnf(i_0_81,plain,
    ( p102(X1)
    | r1(X1,esk39_1(X1))
    | ~ p101(X1)
    | ~ epred1_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4f_q3oom/input.p',i_0_81) ).

cnf(i_0_70,plain,
    ( p101(X1)
    | p101(esk41_1(X1))
    | ~ p100(X1)
    | ~ epred1_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4f_q3oom/input.p',i_0_70) ).

cnf(i_0_71,plain,
    ( p101(X1)
    | ~ p100(X1)
    | ~ epred1_1(X1)
    | ~ p102(esk41_1(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4f_q3oom/input.p',i_0_71) ).

cnf(i_0_1,plain,
    r1(X1,X1),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4f_q3oom/input.p',i_0_1) ).

cnf(i_0_73,plain,
    ( p101(X1)
    | r1(X1,esk41_1(X1))
    | ~ p100(X1)
    | ~ epred1_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4f_q3oom/input.p',i_0_73) ).

cnf(i_0_3,negated_conjecture,
    p100(esk1_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4f_q3oom/input.p',i_0_3) ).

cnf(i_0_4,negated_conjecture,
    ~ p101(esk1_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4f_q3oom/input.p',i_0_4) ).

cnf(c_0_152,plain,
    ( p107(X1)
    | ~ p106(X1)
    | ~ epred1_1(X1)
    | ~ p8(esk28_1(X1)) ),
    i_0_124 ).

cnf(c_0_153,negated_conjecture,
    ( p8(X1)
    | ~ r1(esk1_0,X1) ),
    i_0_6 ).

cnf(c_0_154,plain,
    ( r1(X1,X2)
    | ~ r1(X3,X2)
    | ~ r1(X1,X3) ),
    i_0_2 ).

cnf(c_0_155,plain,
    ( p107(X1)
    | r1(X1,esk28_1(X1))
    | ~ p106(X1)
    | ~ epred1_1(X1) ),
    i_0_125 ).

cnf(c_0_156,negated_conjecture,
    ( p107(X1)
    | ~ p106(X1)
    | ~ epred1_1(X1)
    | ~ r1(esk1_0,esk28_1(X1)) ),
    inference(spm,[status(thm)],[c_0_152,c_0_153]) ).

cnf(c_0_157,plain,
    ( p107(X1)
    | r1(X2,esk28_1(X1))
    | ~ p106(X1)
    | ~ epred1_1(X1)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_154,c_0_155]) ).

cnf(c_0_158,negated_conjecture,
    ( epred1_1(X1)
    | ~ r1(esk1_0,X1) ),
    i_0_5 ).

cnf(c_0_159,negated_conjecture,
    ( p107(X1)
    | ~ p106(X1)
    | ~ r1(esk1_0,X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_157]),c_0_158]) ).

cnf(c_0_160,plain,
    ( p106(X1)
    | p106(esk30_1(X1))
    | ~ p105(X1)
    | ~ epred1_1(X1) ),
    i_0_114 ).

cnf(c_0_161,plain,
    ( p106(X1)
    | ~ p105(X1)
    | ~ epred1_1(X1)
    | ~ p107(esk30_1(X1)) ),
    i_0_115 ).

cnf(c_0_162,negated_conjecture,
    ( p106(X1)
    | p107(esk30_1(X1))
    | ~ p105(X1)
    | ~ epred1_1(X1)
    | ~ r1(esk1_0,esk30_1(X1)) ),
    inference(spm,[status(thm)],[c_0_159,c_0_160]) ).

cnf(c_0_163,plain,
    ( p106(X1)
    | r1(X1,esk30_1(X1))
    | ~ p105(X1)
    | ~ epred1_1(X1) ),
    i_0_117 ).

cnf(c_0_164,negated_conjecture,
    ( p106(X1)
    | ~ p105(X1)
    | ~ epred1_1(X1)
    | ~ r1(esk1_0,esk30_1(X1)) ),
    inference(spm,[status(thm)],[c_0_161,c_0_162]) ).

cnf(c_0_165,plain,
    ( p106(X1)
    | r1(X2,esk30_1(X1))
    | ~ p105(X1)
    | ~ epred1_1(X1)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_154,c_0_163]) ).

cnf(c_0_166,plain,
    ( p106(X1)
    | ~ p105(X1)
    | ~ r1(esk1_0,X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_165]),c_0_158]) ).

cnf(c_0_167,plain,
    ( p105(X1)
    | p105(esk32_1(X1))
    | ~ p104(X1)
    | ~ epred1_1(X1) ),
    i_0_106 ).

cnf(c_0_168,plain,
    ( p105(X1)
    | ~ p104(X1)
    | ~ epred1_1(X1)
    | ~ p106(esk32_1(X1)) ),
    i_0_107 ).

cnf(c_0_169,plain,
    ( p105(X1)
    | p106(esk32_1(X1))
    | ~ p104(X1)
    | ~ epred1_1(X1)
    | ~ r1(esk1_0,esk32_1(X1)) ),
    inference(spm,[status(thm)],[c_0_166,c_0_167]) ).

cnf(c_0_170,plain,
    ( p105(X1)
    | r1(X1,esk32_1(X1))
    | ~ p104(X1)
    | ~ epred1_1(X1) ),
    i_0_109 ).

cnf(c_0_171,plain,
    ( p105(X1)
    | ~ p104(X1)
    | ~ epred1_1(X1)
    | ~ r1(esk1_0,esk32_1(X1)) ),
    inference(spm,[status(thm)],[c_0_168,c_0_169]) ).

cnf(c_0_172,plain,
    ( p105(X1)
    | r1(X2,esk32_1(X1))
    | ~ p104(X1)
    | ~ epred1_1(X1)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_154,c_0_170]) ).

cnf(c_0_173,plain,
    ( p105(X1)
    | ~ p104(X1)
    | ~ r1(esk1_0,X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_172]),c_0_158]) ).

cnf(c_0_174,plain,
    ( p104(X1)
    | p104(esk34_1(X1))
    | ~ p103(X1)
    | ~ epred1_1(X1) ),
    i_0_98 ).

cnf(c_0_175,plain,
    ( p104(X1)
    | ~ p103(X1)
    | ~ epred1_1(X1)
    | ~ p105(esk34_1(X1)) ),
    i_0_99 ).

cnf(c_0_176,plain,
    ( p104(X1)
    | p105(esk34_1(X1))
    | ~ p103(X1)
    | ~ epred1_1(X1)
    | ~ r1(esk1_0,esk34_1(X1)) ),
    inference(spm,[status(thm)],[c_0_173,c_0_174]) ).

cnf(c_0_177,plain,
    ( p104(X1)
    | r1(X1,esk34_1(X1))
    | ~ p103(X1)
    | ~ epred1_1(X1) ),
    i_0_101 ).

cnf(c_0_178,plain,
    ( p104(X1)
    | ~ p103(X1)
    | ~ epred1_1(X1)
    | ~ r1(esk1_0,esk34_1(X1)) ),
    inference(spm,[status(thm)],[c_0_175,c_0_176]) ).

cnf(c_0_179,plain,
    ( p104(X1)
    | r1(X2,esk34_1(X1))
    | ~ p103(X1)
    | ~ epred1_1(X1)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_154,c_0_177]) ).

cnf(c_0_180,plain,
    ( p104(X1)
    | ~ p103(X1)
    | ~ r1(esk1_0,X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_179]),c_0_158]) ).

cnf(c_0_181,plain,
    ( p103(X1)
    | p103(esk36_1(X1))
    | ~ p102(X1)
    | ~ epred1_1(X1) ),
    i_0_90 ).

cnf(c_0_182,plain,
    ( p103(X1)
    | ~ p102(X1)
    | ~ epred1_1(X1)
    | ~ p104(esk36_1(X1)) ),
    i_0_91 ).

cnf(c_0_183,plain,
    ( p103(X1)
    | p104(esk36_1(X1))
    | ~ p102(X1)
    | ~ epred1_1(X1)
    | ~ r1(esk1_0,esk36_1(X1)) ),
    inference(spm,[status(thm)],[c_0_180,c_0_181]) ).

cnf(c_0_184,plain,
    ( p103(X1)
    | r1(X1,esk36_1(X1))
    | ~ p102(X1)
    | ~ epred1_1(X1) ),
    i_0_93 ).

cnf(c_0_185,plain,
    ( p103(X1)
    | ~ p102(X1)
    | ~ epred1_1(X1)
    | ~ r1(esk1_0,esk36_1(X1)) ),
    inference(spm,[status(thm)],[c_0_182,c_0_183]) ).

cnf(c_0_186,plain,
    ( p103(X1)
    | r1(X2,esk36_1(X1))
    | ~ p102(X1)
    | ~ epred1_1(X1)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_154,c_0_184]) ).

cnf(c_0_187,plain,
    ( p102(X1)
    | ~ p101(X1)
    | ~ epred1_1(X1)
    | ~ p103(esk39_1(X1)) ),
    i_0_79 ).

cnf(c_0_188,plain,
    ( p103(X1)
    | ~ p102(X1)
    | ~ r1(esk1_0,X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_186]),c_0_158]) ).

cnf(c_0_189,plain,
    ( p102(X1)
    | p102(esk39_1(X1))
    | ~ p101(X1)
    | ~ epred1_1(X1) ),
    i_0_78 ).

cnf(c_0_190,plain,
    ( p102(X1)
    | r1(X1,esk39_1(X1))
    | ~ p101(X1)
    | ~ epred1_1(X1) ),
    i_0_81 ).

cnf(c_0_191,plain,
    ( p102(X1)
    | ~ epred1_1(X1)
    | ~ p101(X1)
    | ~ r1(esk1_0,esk39_1(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_188]),c_0_189]) ).

cnf(c_0_192,plain,
    ( p102(X1)
    | r1(X2,esk39_1(X1))
    | ~ epred1_1(X1)
    | ~ p101(X1)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_154,c_0_190]) ).

cnf(c_0_193,plain,
    ( p102(X1)
    | ~ p101(X1)
    | ~ r1(esk1_0,X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_192]),c_0_158]) ).

cnf(c_0_194,plain,
    ( p101(X1)
    | p101(esk41_1(X1))
    | ~ p100(X1)
    | ~ epred1_1(X1) ),
    i_0_70 ).

cnf(c_0_195,plain,
    ( p101(X1)
    | ~ p100(X1)
    | ~ epred1_1(X1)
    | ~ p102(esk41_1(X1)) ),
    i_0_71 ).

cnf(c_0_196,plain,
    r1(X1,X1),
    i_0_1 ).

cnf(c_0_197,plain,
    ( p101(X1)
    | ~ epred1_1(X1)
    | ~ r1(esk1_0,esk41_1(X1))
    | ~ p100(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_194]),c_0_195]) ).

cnf(c_0_198,plain,
    ( p101(X1)
    | r1(X1,esk41_1(X1))
    | ~ p100(X1)
    | ~ epred1_1(X1) ),
    i_0_73 ).

cnf(c_0_199,plain,
    epred1_1(esk1_0),
    inference(spm,[status(thm)],[c_0_158,c_0_196]) ).

cnf(c_0_200,negated_conjecture,
    p100(esk1_0),
    i_0_3 ).

cnf(c_0_201,negated_conjecture,
    ~ p101(esk1_0),
    i_0_4 ).

cnf(c_0_202,plain,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_197,c_0_198]),c_0_199]),c_0_200])]),c_0_201]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : LCL674+1.020 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n016.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 09:15:33 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.45  # ENIGMATIC: Selected complete mode:
% 17.77/3.57  # ENIGMATIC: Solved by Enigma+tptp-cade20-model02-h2e15+lgb-t150-d30-l6400-e0.15+coop-mzr02:
% 17.77/3.57  # ENIGMA: LightGBM model '/export/starexec/sandbox/solver/bin/data/Enigma/tptp-cade20-model02-h2e15/lgb-t150-d30-l6400-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 42; version: 991; iters: 150)
% 17.77/3.57  # Preprocessing time       : 0.881 s
% 17.77/3.57  
% 17.77/3.57  # Proof found!
% 17.77/3.57  # SZS status Theorem
% 17.77/3.57  # SZS output start CNFRefutation
% See solution above
% 17.77/3.57  # Training examples: 0 positive, 0 negative
% 17.77/3.57  
% 17.77/3.57  # -------------------------------------------------
% 17.77/3.57  # User time                : 1.231 s
% 17.77/3.57  # System time              : 0.108 s
% 17.77/3.57  # Total time               : 1.339 s
% 17.77/3.57  # ...preprocessing         : 0.881 s
% 17.77/3.57  # ...main loop             : 0.458 s
% 17.77/3.57  # Maximum resident set size: 169124 pages
% 17.77/3.57  
%------------------------------------------------------------------------------