TSTP Solution File: RNG064+2 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : RNG064+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n028.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 20:24:51 EDT 2022

% Result   : Theorem 16.55s 3.49s
% Output   : CNFRefutation 16.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   14
% Syntax   : Number of clauses     :   36 (  16 unt;   0 nHn;  36 RR)
%            Number of literals    :   84 (   7 equ;  53 neg)
%            Maximal clause size   :    7 (   2 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :   33 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_37,plain,
    ( sdtlseqdt0(sdtpldt0(X1,X2),sdtpldt0(X3,X4))
    | ~ aScalar0(X4)
    | ~ aScalar0(X2)
    | ~ aScalar0(X3)
    | ~ aScalar0(X1)
    | ~ sdtlseqdt0(X2,X4)
    | ~ sdtlseqdt0(X1,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-df6lvh16/input.p',i_0_37) ).

cnf(i_0_21,plain,
    ( sdtpldt0(sz0z00,X1) = X1
    | ~ aScalar0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-df6lvh16/input.p',i_0_21) ).

cnf(i_0_11,plain,
    aScalar0(sz0z00),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-df6lvh16/input.p',i_0_11) ).

cnf(i_0_102,hypothesis,
    sdtpldt0(sdtpldt0(sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))),xN),xN) = sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-df6lvh16/input.p',i_0_102) ).

cnf(i_0_26,plain,
    ( sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3))
    | ~ aScalar0(X3)
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-df6lvh16/input.p',i_0_26) ).

cnf(i_0_93,hypothesis,
    aScalar0(xN),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-df6lvh16/input.p',i_0_93) ).

cnf(i_0_103,hypothesis,
    sdtlseqdt0(sz0z00,sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS)))),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-df6lvh16/input.p',i_0_103) ).

cnf(i_0_13,plain,
    ( aScalar0(sdtasdt0(X1,X2))
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-df6lvh16/input.p',i_0_13) ).

cnf(i_0_104,negated_conjecture,
    ~ sdtlseqdt0(sdtpldt0(xN,xN),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-df6lvh16/input.p',i_0_104) ).

cnf(i_0_34,plain,
    ( sdtlseqdt0(X1,X1)
    | ~ aScalar0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-df6lvh16/input.p',i_0_34) ).

cnf(i_0_12,plain,
    ( aScalar0(sdtpldt0(X1,X2))
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-df6lvh16/input.p',i_0_12) ).

cnf(i_0_87,hypothesis,
    aScalar0(xR),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-df6lvh16/input.p',i_0_87) ).

cnf(i_0_14,plain,
    ( aScalar0(smndt0(X1))
    | ~ aScalar0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-df6lvh16/input.p',i_0_14) ).

cnf(i_0_91,hypothesis,
    aScalar0(xS),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-df6lvh16/input.p',i_0_91) ).

cnf(c_0_119,plain,
    ( sdtlseqdt0(sdtpldt0(X1,X2),sdtpldt0(X3,X4))
    | ~ aScalar0(X4)
    | ~ aScalar0(X2)
    | ~ aScalar0(X3)
    | ~ aScalar0(X1)
    | ~ sdtlseqdt0(X2,X4)
    | ~ sdtlseqdt0(X1,X3) ),
    i_0_37 ).

cnf(c_0_120,plain,
    ( sdtpldt0(sz0z00,X1) = X1
    | ~ aScalar0(X1) ),
    i_0_21 ).

cnf(c_0_121,plain,
    aScalar0(sz0z00),
    i_0_11 ).

cnf(c_0_122,hypothesis,
    sdtpldt0(sdtpldt0(sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))),xN),xN) = sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),
    i_0_102 ).

cnf(c_0_123,plain,
    ( sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3))
    | ~ aScalar0(X3)
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    i_0_26 ).

cnf(c_0_124,hypothesis,
    aScalar0(xN),
    i_0_93 ).

cnf(c_0_125,plain,
    ( sdtlseqdt0(X1,sdtpldt0(X2,X3))
    | ~ sdtlseqdt0(sz0z00,X2)
    | ~ sdtlseqdt0(X1,X3)
    | ~ aScalar0(X3)
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_120]),c_0_121])]) ).

cnf(c_0_126,hypothesis,
    ( sdtpldt0(sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))),sdtpldt0(xN,xN)) = sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))
    | ~ aScalar0(sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS)))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_123]),c_0_124])]) ).

cnf(c_0_127,hypothesis,
    sdtlseqdt0(sz0z00,sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS)))),
    i_0_103 ).

cnf(c_0_128,plain,
    ( sdtlseqdt0(X1,sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)))
    | ~ sdtlseqdt0(X1,sdtpldt0(xN,xN))
    | ~ aScalar0(sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))))
    | ~ aScalar0(sdtpldt0(xN,xN))
    | ~ aScalar0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_126]),c_0_127])]) ).

cnf(c_0_129,plain,
    ( aScalar0(sdtasdt0(X1,X2))
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    i_0_13 ).

cnf(c_0_130,negated_conjecture,
    ~ sdtlseqdt0(sdtpldt0(xN,xN),sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS))),
    i_0_104 ).

cnf(c_0_131,plain,
    ( sdtlseqdt0(X1,sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)))
    | ~ sdtlseqdt0(X1,sdtpldt0(xN,xN))
    | ~ aScalar0(sdtpldt0(xR,smndt0(xS)))
    | ~ aScalar0(sdtpldt0(xN,xN))
    | ~ aScalar0(X1) ),
    inference(spm,[status(thm)],[c_0_128,c_0_129]) ).

cnf(c_0_132,plain,
    ( sdtlseqdt0(X1,X1)
    | ~ aScalar0(X1) ),
    i_0_34 ).

cnf(c_0_133,negated_conjecture,
    ( ~ aScalar0(sdtpldt0(xR,smndt0(xS)))
    | ~ aScalar0(sdtpldt0(xN,xN)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_131]),c_0_132]) ).

cnf(c_0_134,plain,
    ( aScalar0(sdtpldt0(X1,X2))
    | ~ aScalar0(X2)
    | ~ aScalar0(X1) ),
    i_0_12 ).

cnf(c_0_135,hypothesis,
    aScalar0(xR),
    i_0_87 ).

cnf(c_0_136,plain,
    ( ~ aScalar0(sdtpldt0(xN,xN))
    | ~ aScalar0(smndt0(xS)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_134]),c_0_135])]) ).

cnf(c_0_137,plain,
    ( aScalar0(smndt0(X1))
    | ~ aScalar0(X1) ),
    i_0_14 ).

cnf(c_0_138,hypothesis,
    aScalar0(xS),
    i_0_91 ).

cnf(c_0_139,plain,
    ~ aScalar0(sdtpldt0(xN,xN)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_137]),c_0_138])]) ).

cnf(c_0_140,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_134]),c_0_124])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : RNG064+2 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n028.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 10:48:36 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  # ENIGMATIC: Selected complete mode:
% 16.55/3.49  # ENIGMATIC: Solved by Enigma+tptp-cade20-model02-h2e15+lgb-t150-d30-l6400-e0.15+coop-mzr02:
% 16.55/3.49  # ENIGMA: LightGBM model '/export/starexec/sandbox2/solver/bin/data/Enigma/tptp-cade20-model02-h2e15/lgb-t150-d30-l6400-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 25; version: 991; iters: 150)
% 16.55/3.49  # Preprocessing time       : 0.872 s
% 16.55/3.49  
% 16.55/3.49  # Proof found!
% 16.55/3.49  # SZS status Theorem
% 16.55/3.49  # SZS output start CNFRefutation
% See solution above
% 16.55/3.49  # Training examples: 0 positive, 0 negative
% 16.55/3.49  
% 16.55/3.49  # -------------------------------------------------
% 16.55/3.49  # User time                : 1.067 s
% 16.55/3.49  # System time              : 0.112 s
% 16.55/3.49  # Total time               : 1.179 s
% 16.55/3.49  # ...preprocessing         : 0.872 s
% 16.55/3.49  # ...main loop             : 0.307 s
% 16.55/3.49  # Maximum resident set size: 167356 pages
% 16.55/3.49  
%------------------------------------------------------------------------------