TSTP Solution File: RNG079+1 by Enigma---0.5.1

View Problem - Process Solution

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

% Computer : n023.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 16.55s 3.47s
% Output   : CNFRefutation 16.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   13
% Syntax   : Number of clauses     :   38 (  28 unt;   0 nHn;  38 RR)
%            Number of literals    :   67 (  16 equ;  31 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   :   29 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_94,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/sandbox2/tmp/enigma-theBenchmark.p-8483umg1/input.p',i_0_94) ).

cnf(i_0_84,hypothesis,
    sdtasdt0(xE,xH) = xP,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8483umg1/input.p',i_0_84) ).

cnf(i_0_82,hypothesis,
    sdtasdt0(xC,xG) = xR,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8483umg1/input.p',i_0_82) ).

cnf(i_0_86,hypothesis,
    sdtasdt0(xF,xD) = xS,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8483umg1/input.p',i_0_86) ).

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/sandbox2/tmp/enigma-theBenchmark.p-8483umg1/input.p',i_0_28) ).

cnf(i_0_81,hypothesis,
    aScalar0(xH),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8483umg1/input.p',i_0_81) ).

cnf(i_0_75,hypothesis,
    aScalar0(xE),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8483umg1/input.p',i_0_75) ).

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/sandbox2/tmp/enigma-theBenchmark.p-8483umg1/input.p',i_0_29) ).

cnf(i_0_79,hypothesis,
    aScalar0(xG),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8483umg1/input.p',i_0_79) ).

cnf(i_0_71,hypothesis,
    aScalar0(xC),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8483umg1/input.p',i_0_71) ).

cnf(i_0_73,hypothesis,
    aScalar0(xD),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8483umg1/input.p',i_0_73) ).

cnf(i_0_77,hypothesis,
    aScalar0(xF),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8483umg1/input.p',i_0_77) ).

cnf(i_0_95,negated_conjecture,
    ~ sdtlseqdt0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)),sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG))),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8483umg1/input.p',i_0_95) ).

cnf(c_0_109,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_94 ).

cnf(c_0_110,hypothesis,
    sdtasdt0(xE,xH) = xP,
    i_0_84 ).

cnf(c_0_111,hypothesis,
    sdtasdt0(xC,xG) = xR,
    i_0_82 ).

cnf(c_0_112,hypothesis,
    sdtasdt0(xF,xD) = xS,
    i_0_86 ).

cnf(c_0_113,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_114,hypothesis,
    aScalar0(xH),
    i_0_81 ).

cnf(c_0_115,hypothesis,
    aScalar0(xE),
    i_0_75 ).

cnf(c_0_116,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_109,c_0_110]),c_0_111]),c_0_112]) ).

cnf(c_0_117,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_113,c_0_110]),c_0_114]),c_0_115])]) ).

cnf(c_0_118,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_119,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_116,c_0_117]),c_0_115])]) ).

cnf(c_0_120,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_118,c_0_113]) ).

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

cnf(c_0_122,hypothesis,
    aScalar0(xC),
    i_0_71 ).

cnf(c_0_123,plain,
    sdtlseqdt0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)),sdtpldt0(sdtpldt0(sdtasdt0(xC,xD),xR),sdtpldt0(xS,sdtasdt0(xF,xG)))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_120]),c_0_114]),c_0_115])]) ).

cnf(c_0_124,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_113,c_0_111]),c_0_121]),c_0_122])]) ).

cnf(c_0_125,hypothesis,
    aScalar0(xD),
    i_0_73 ).

cnf(c_0_126,hypothesis,
    aScalar0(xF),
    i_0_77 ).

cnf(c_0_127,plain,
    sdtlseqdt0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)),sdtpldt0(sdtasdt0(xC,sdtpldt0(xD,xG)),sdtpldt0(xS,sdtasdt0(xF,xG)))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_124]),c_0_125])]) ).

cnf(c_0_128,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_113,c_0_112]),c_0_125]),c_0_126])]) ).

cnf(c_0_129,plain,
    ( sdtpldt0(sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3)),sdtasdt0(X4,sdtpldt0(X2,X3))) = sdtasdt0(sdtpldt0(X1,X4),sdtpldt0(X2,X3))
    | ~ aScalar0(X4)
    | ~ aScalar0(X3)
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    inference(spm,[status(thm)],[c_0_118,c_0_113]) ).

cnf(c_0_130,plain,
    sdtlseqdt0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,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_127,c_0_128]),c_0_121])]) ).

cnf(c_0_131,plain,
    ( sdtpldt0(sdtasdt0(X1,sdtpldt0(X2,X3)),sdtasdt0(X4,sdtpldt0(X2,X3))) = sdtasdt0(sdtpldt0(X1,X4),sdtpldt0(X2,X3))
    | ~ aScalar0(X4)
    | ~ aScalar0(X3)
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    inference(spm,[status(thm)],[c_0_129,c_0_113]) ).

cnf(c_0_132,negated_conjecture,
    ~ sdtlseqdt0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)),sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG))),
    i_0_95 ).

cnf(c_0_133,plain,
    $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(spm,[status(thm)],[c_0_130,c_0_131]),c_0_126]),c_0_121]),c_0_125]),c_0_122])]),c_0_132]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : RNG079+1 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n023.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 May 30 12:12:13 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.44  # ENIGMATIC: Selected complete mode:
% 16.55/3.47  # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d30-l6400-e0.15+coop-eprover66:
% 16.55/3.47  # ENIGMA: LightGBM model '/export/starexec/sandbox2/solver/bin/data/Enigma/tptp-cade20-model03-h2e15/lgb-t150-d30-l6400-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 24; version: 991; iters: 150)
% 16.55/3.47  # Preprocessing time       : 0.859 s
% 16.55/3.47  # Presaturation interreduction done
% 16.55/3.47  
% 16.55/3.47  # Proof found!
% 16.55/3.47  # SZS status Theorem
% 16.55/3.47  # SZS output start CNFRefutation
% See solution above
% 16.55/3.47  # Training examples: 0 positive, 0 negative
% 16.55/3.47  
% 16.55/3.47  # -------------------------------------------------
% 16.55/3.47  # User time                : 0.964 s
% 16.55/3.47  # System time              : 0.107 s
% 16.55/3.47  # Total time               : 1.071 s
% 16.55/3.47  # ...preprocessing         : 0.859 s
% 16.55/3.47  # ...main loop             : 0.212 s
% 16.55/3.47  # Maximum resident set size: 167644 pages
% 16.55/3.47  
%------------------------------------------------------------------------------