TSTP Solution File: RNG079+2 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : RNG079+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n025.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 : Mon Jul 18 20:24:55 EDT 2022

% Result   : Theorem 16.59s 3.56s
% Output   : CNFRefutation 16.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   15
% Syntax   : Number of clauses     :   41 (  28 unt;   0 nHn;  41 RR)
%            Number of literals    :   73 (  16 equ;  35 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   9 con; 0-2 aty)
%            Number of variables   :   31 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_98,hypothesis,
    sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH)),sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))),sdtpldt0(sdtpldt0(sdtasdt0(xC,xD),sdtasdt0(xC,xG)),sdtpldt0(sdtasdt0(xF,xD),sdtasdt0(xF,xG)))),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-0qungqoo/input.p',i_0_98) ).

cnf(i_0_88,hypothesis,
    sdtasdt0(xE,xH) = xP,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-0qungqoo/input.p',i_0_88) ).

cnf(i_0_86,hypothesis,
    sdtasdt0(xC,xG) = xR,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-0qungqoo/input.p',i_0_86) ).

cnf(i_0_90,hypothesis,
    sdtasdt0(xF,xD) = xS,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-0qungqoo/input.p',i_0_90) ).

cnf(i_0_28,plain,
    ( sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3)) = sdtasdt0(X1,sdtpldt0(X2,X3))
    | ~ aScalar0(X3)
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-0qungqoo/input.p',i_0_28) ).

cnf(i_0_85,hypothesis,
    aScalar0(xH),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-0qungqoo/input.p',i_0_85) ).

cnf(i_0_79,hypothesis,
    aScalar0(xE),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-0qungqoo/input.p',i_0_79) ).

cnf(i_0_77,hypothesis,
    aScalar0(xD),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-0qungqoo/input.p',i_0_77) ).

cnf(i_0_81,hypothesis,
    aScalar0(xF),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-0qungqoo/input.p',i_0_81) ).

cnf(i_0_83,hypothesis,
    aScalar0(xG),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-0qungqoo/input.p',i_0_83) ).

cnf(i_0_75,hypothesis,
    aScalar0(xC),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-0qungqoo/input.p',i_0_75) ).

cnf(i_0_27,plain,
    ( sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X3,X2)) = sdtasdt0(sdtpldt0(X1,X3),X2)
    | ~ aScalar0(X2)
    | ~ aScalar0(X3)
    | ~ aScalar0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-0qungqoo/input.p',i_0_27) ).

cnf(i_0_29,plain,
    ( sdtpldt0(sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3)),sdtpldt0(sdtasdt0(X4,X2),sdtasdt0(X4,X3))) = sdtasdt0(sdtpldt0(X1,X4),sdtpldt0(X2,X3))
    | ~ aScalar0(X3)
    | ~ aScalar0(X2)
    | ~ aScalar0(X4)
    | ~ aScalar0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-0qungqoo/input.p',i_0_29) ).

cnf(i_0_99,negated_conjecture,
    ~ sdtlseqdt0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)),sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG))),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-0qungqoo/input.p',i_0_99) ).

cnf(i_0_12,plain,
    ( aScalar0(sdtpldt0(X1,X2))
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-0qungqoo/input.p',i_0_12) ).

cnf(c_0_115,hypothesis,
    sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH)),sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))),sdtpldt0(sdtpldt0(sdtasdt0(xC,xD),sdtasdt0(xC,xG)),sdtpldt0(sdtasdt0(xF,xD),sdtasdt0(xF,xG)))),
    i_0_98 ).

cnf(c_0_116,hypothesis,
    sdtasdt0(xE,xH) = xP,
    i_0_88 ).

cnf(c_0_117,hypothesis,
    sdtasdt0(xC,xG) = xR,
    i_0_86 ).

cnf(c_0_118,hypothesis,
    sdtasdt0(xF,xD) = xS,
    i_0_90 ).

cnf(c_0_119,plain,
    ( sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3)) = sdtasdt0(X1,sdtpldt0(X2,X3))
    | ~ aScalar0(X3)
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    i_0_28 ).

cnf(c_0_120,hypothesis,
    aScalar0(xH),
    i_0_85 ).

cnf(c_0_121,hypothesis,
    aScalar0(xE),
    i_0_79 ).

cnf(c_0_122,hypothesis,
    sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xE,xE),xP),sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))),sdtpldt0(sdtpldt0(sdtasdt0(xC,xD),xR),sdtpldt0(xS,sdtasdt0(xF,xG)))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_115,c_0_116]),c_0_117]),c_0_118]) ).

cnf(c_0_123,hypothesis,
    ( sdtpldt0(sdtasdt0(xE,X1),xP) = sdtasdt0(xE,sdtpldt0(X1,xH))
    | ~ aScalar0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_116]),c_0_120]),c_0_121])]) ).

cnf(c_0_124,hypothesis,
    aScalar0(xD),
    i_0_77 ).

cnf(c_0_125,hypothesis,
    aScalar0(xF),
    i_0_81 ).

cnf(c_0_126,hypothesis,
    sdtlseqdt0(sdtpldt0(sdtasdt0(xE,sdtpldt0(xE,xH)),sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))),sdtpldt0(sdtpldt0(sdtasdt0(xC,xD),xR),sdtpldt0(xS,sdtasdt0(xF,xG)))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_123]),c_0_121])]) ).

cnf(c_0_127,hypothesis,
    ( sdtpldt0(xS,sdtasdt0(xF,X1)) = sdtasdt0(xF,sdtpldt0(xD,X1))
    | ~ aScalar0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_118]),c_0_124]),c_0_125])]) ).

cnf(c_0_128,hypothesis,
    aScalar0(xG),
    i_0_83 ).

cnf(c_0_129,hypothesis,
    aScalar0(xC),
    i_0_75 ).

cnf(c_0_130,hypothesis,
    sdtlseqdt0(sdtpldt0(sdtasdt0(xE,sdtpldt0(xE,xH)),sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))),sdtpldt0(sdtpldt0(sdtasdt0(xC,xD),xR),sdtasdt0(xF,sdtpldt0(xD,xG)))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_127]),c_0_128])]) ).

cnf(c_0_131,hypothesis,
    ( sdtpldt0(sdtasdt0(xC,X1),xR) = sdtasdt0(xC,sdtpldt0(X1,xG))
    | ~ aScalar0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_117]),c_0_128]),c_0_129])]) ).

cnf(c_0_132,hypothesis,
    sdtlseqdt0(sdtpldt0(sdtasdt0(xE,sdtpldt0(xE,xH)),sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))),sdtpldt0(sdtasdt0(xC,sdtpldt0(xD,xG)),sdtasdt0(xF,sdtpldt0(xD,xG)))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_131]),c_0_124])]) ).

cnf(c_0_133,plain,
    ( sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X3,X2)) = sdtasdt0(sdtpldt0(X1,X3),X2)
    | ~ aScalar0(X2)
    | ~ aScalar0(X3)
    | ~ aScalar0(X1) ),
    i_0_27 ).

cnf(c_0_134,plain,
    ( sdtpldt0(sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3)),sdtpldt0(sdtasdt0(X4,X2),sdtasdt0(X4,X3))) = sdtasdt0(sdtpldt0(X1,X4),sdtpldt0(X2,X3))
    | ~ aScalar0(X3)
    | ~ aScalar0(X2)
    | ~ aScalar0(X4)
    | ~ aScalar0(X1) ),
    i_0_29 ).

cnf(c_0_135,plain,
    ( sdtlseqdt0(sdtpldt0(sdtasdt0(xE,sdtpldt0(xE,xH)),sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))),sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG)))
    | ~ aScalar0(sdtpldt0(xD,xG)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_133]),c_0_125]),c_0_129])]) ).

cnf(c_0_136,plain,
    ( sdtpldt0(sdtasdt0(X1,sdtpldt0(X2,X3)),sdtpldt0(sdtasdt0(X4,X2),sdtasdt0(X4,X3))) = sdtasdt0(sdtpldt0(X1,X4),sdtpldt0(X2,X3))
    | ~ aScalar0(X4)
    | ~ aScalar0(X3)
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    inference(spm,[status(thm)],[c_0_134,c_0_119]) ).

cnf(c_0_137,negated_conjecture,
    ~ sdtlseqdt0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)),sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG))),
    i_0_99 ).

cnf(c_0_138,plain,
    ~ aScalar0(sdtpldt0(xD,xG)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_136]),c_0_120]),c_0_121])]),c_0_137]) ).

cnf(c_0_139,plain,
    ( aScalar0(sdtpldt0(X1,X2))
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    i_0_12 ).

cnf(c_0_140,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_139]),c_0_128]),c_0_124])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : RNG079+2 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.14/0.34  % Computer : n025.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Mon May 30 20:59:44 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.21/0.46  # ENIGMATIC: Selected complete mode:
% 16.59/3.56  # ENIGMATIC: Solved by Enigma+tptp-cade20-model02-h2e15+lgb-t150-d30-l6400-e0.15+coop-mzr02:
% 16.59/3.56  # 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: 24; version: 991; iters: 150)
% 16.59/3.56  # Preprocessing time       : 0.895 s
% 16.59/3.56  
% 16.59/3.56  # Proof found!
% 16.59/3.56  # SZS status Theorem
% 16.59/3.56  # SZS output start CNFRefutation
% See solution above
% 16.59/3.56  # Training examples: 0 positive, 0 negative
% 16.59/3.56  
% 16.59/3.56  # -------------------------------------------------
% 16.59/3.56  # User time                : 0.849 s
% 16.59/3.56  # System time              : 0.126 s
% 16.59/3.56  # Total time               : 0.975 s
% 16.59/3.56  # ...preprocessing         : 0.895 s
% 16.59/3.56  # ...main loop             : 0.080 s
% 16.59/3.56  # Maximum resident set size: 168808 pages
% 16.59/3.56  
%------------------------------------------------------------------------------