%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : RNG123+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n032.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 20:25:04 EDT 2022

% Result   : Theorem 7.56s 2.22s
% Output   : CNFRefutation 7.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   14 (  11 unt;   0 nHn;  14 RR)
%            Number of literals    :   21 (   2 equ;   9 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   5 con; 0-2 aty)
%            Number of variables   :    7 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_53,plain,
    ( aElementOf0(sdtpldt0(X1,X2),X3)
    | ~ aIdeal0(X3)
    | ~ aElementOf0(X1,X3)
    | ~ aElementOf0(X2,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d0si9tbz/lgb.p',i_0_53) ).

cnf(i_0_121,hypothesis,
    aElementOf0(xb,xI),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d0si9tbz/lgb.p',i_0_121) ).

cnf(i_0_99,hypothesis,
    aIdeal0(xI),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d0si9tbz/lgb.p',i_0_99) ).

cnf(i_0_120,hypothesis,
    aElementOf0(smndt0(sdtasdt0(xq,xu)),xI),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d0si9tbz/lgb.p',i_0_120) ).

cnf(i_0_122,hypothesis,
    sdtpldt0(smndt0(sdtasdt0(xq,xu)),xb) = xr,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d0si9tbz/lgb.p',i_0_122) ).

cnf(i_0_123,negated_conjecture,
    ~ aElementOf0(xr,xI),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-d0si9tbz/lgb.p',i_0_123) ).

cnf(c_0_130,plain,
    ( aElementOf0(sdtpldt0(X1,X2),X3)
    | ~ aIdeal0(X3)
    | ~ aElementOf0(X1,X3)
    | ~ aElementOf0(X2,X3) ),
    i_0_53 ).

cnf(c_0_131,hypothesis,
    aElementOf0(xb,xI),
    i_0_121 ).

cnf(c_0_132,hypothesis,
    aIdeal0(xI),
    i_0_99 ).

cnf(c_0_133,hypothesis,
    ( aElementOf0(sdtpldt0(X1,xb),xI)
    | ~ aElementOf0(X1,xI) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_131]),c_0_132])]) ).

cnf(c_0_134,hypothesis,
    aElementOf0(smndt0(sdtasdt0(xq,xu)),xI),
    i_0_120 ).

cnf(c_0_135,hypothesis,
    sdtpldt0(smndt0(sdtasdt0(xq,xu)),xb) = xr,
    i_0_122 ).

cnf(c_0_136,negated_conjecture,
    ~ aElementOf0(xr,xI),
    i_0_123 ).

cnf(c_0_137,hypothesis,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_134]),c_0_135]),c_0_136]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.09  % Problem  : RNG123+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.10  % Command  : enigmatic-eprover.py %s %d 1
% 0.10/0.28  % Computer : n032.cluster.edu
% 0.10/0.28  % Model    : x86_64 x86_64
% 0.10/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.28  % Memory   : 8042.1875MB
% 0.10/0.28  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.28  % CPULimit : 300
% 0.10/0.28  % WCLimit  : 600
% 0.10/0.28  % DateTime : Mon May 30 13:38:29 EDT 2022
% 0.10/0.29  % CPUTime  : 
% 0.14/0.36  # ENIGMATIC: Selected complete mode:
% 7.56/2.22  # ENIGMATIC: Solved by autoschedule-lgb:
% 7.56/2.22  # No SInE strategy applied
% 7.56/2.22  # Trying AutoSched0 for 150 seconds
% 7.56/2.22  # AutoSched0-Mode selected heuristic G_E___208_B07_F1_SE_CS_SP_PS_S4d
% 7.56/2.22  # and selection function SelectCQIPrecWNTNp.
% 7.56/2.22  #
% 7.56/2.22  # Preprocessing time       : 0.014 s
% 7.56/2.22  # Presaturation interreduction done
% 7.56/2.22  
% 7.56/2.22  # Proof found!
% 7.56/2.22  # SZS status Theorem
% 7.56/2.22  # SZS output start CNFRefutation
% See solution above
% 7.56/2.22  # Training examples: 0 positive, 0 negative
% 7.56/2.22  
% 7.56/2.22  # -------------------------------------------------
% 7.56/2.22  # User time                : 0.019 s
% 7.56/2.22  # System time              : 0.005 s
% 7.56/2.22  # Total time               : 0.024 s
% 7.56/2.22  # Maximum resident set size: 7124 pages
% 7.56/2.22  
%------------------------------------------------------------------------------