TSTP Solution File: RNG120+4 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : RNG120+4 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n017.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 20:25:03 EDT 2022

% Result   : Theorem 8.50s 2.48s
% Output   : CNFRefutation 8.50s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   26 (  13 unt;   0 nHn;  26 RR)
%            Number of literals    :   48 (   2 equ;  27 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :   17 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_147,hypothesis,
    ( aElementOf0(sdtasdt0(X1,X2),xI)
    | ~ aElement0(X1)
    | ~ aElementOf0(X2,xI) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-aeiszp1q/input.p',i_0_147) ).

cnf(i_0_20,plain,
    ( sdtasdt0(smndt0(sz10),X1) = smndt0(X1)
    | ~ aElement0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-aeiszp1q/input.p',i_0_20) ).

cnf(i_0_202,negated_conjecture,
    ~ aElementOf0(smndt0(sdtasdt0(xq,xu)),xI),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-aeiszp1q/input.p',i_0_202) ).

cnf(i_0_4,plain,
    ( aElement0(smndt0(X1))
    | ~ aElement0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-aeiszp1q/input.p',i_0_4) ).

cnf(i_0_3,plain,
    aElement0(sz10),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-aeiszp1q/input.p',i_0_3) ).

cnf(i_0_176,hypothesis,
    aElementOf0(xu,xI),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-aeiszp1q/input.p',i_0_176) ).

cnf(i_0_200,hypothesis,
    aElement0(xq),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-aeiszp1q/input.p',i_0_200) ).

cnf(i_0_26,plain,
    ( aElement0(X1)
    | ~ aSet0(X2)
    | ~ aElementOf0(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-aeiszp1q/input.p',i_0_26) ).

cnf(i_0_149,hypothesis,
    aSet0(xI),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-aeiszp1q/input.p',i_0_149) ).

cnf(i_0_6,plain,
    ( aElement0(sdtasdt0(X1,X2))
    | ~ aElement0(X2)
    | ~ aElement0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-aeiszp1q/input.p',i_0_6) ).

cnf(c_0_213,hypothesis,
    ( aElementOf0(sdtasdt0(X1,X2),xI)
    | ~ aElement0(X1)
    | ~ aElementOf0(X2,xI) ),
    i_0_147 ).

cnf(c_0_214,plain,
    ( sdtasdt0(smndt0(sz10),X1) = smndt0(X1)
    | ~ aElement0(X1) ),
    i_0_20 ).

cnf(c_0_215,negated_conjecture,
    ~ aElementOf0(smndt0(sdtasdt0(xq,xu)),xI),
    i_0_202 ).

cnf(c_0_216,hypothesis,
    ( aElementOf0(smndt0(X1),xI)
    | ~ aElementOf0(X1,xI)
    | ~ aElement0(smndt0(sz10))
    | ~ aElement0(X1) ),
    inference(spm,[status(thm)],[c_0_213,c_0_214]) ).

cnf(c_0_217,negated_conjecture,
    ( ~ aElementOf0(sdtasdt0(xq,xu),xI)
    | ~ aElement0(sdtasdt0(xq,xu))
    | ~ aElement0(smndt0(sz10)) ),
    inference(spm,[status(thm)],[c_0_215,c_0_216]) ).

cnf(c_0_218,plain,
    ( aElement0(smndt0(X1))
    | ~ aElement0(X1) ),
    i_0_4 ).

cnf(c_0_219,plain,
    aElement0(sz10),
    i_0_3 ).

cnf(c_0_220,plain,
    ( ~ aElementOf0(sdtasdt0(xq,xu),xI)
    | ~ aElement0(sdtasdt0(xq,xu)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_218]),c_0_219])]) ).

cnf(c_0_221,hypothesis,
    aElementOf0(xu,xI),
    i_0_176 ).

cnf(c_0_222,hypothesis,
    aElement0(xq),
    i_0_200 ).

cnf(c_0_223,plain,
    ( aElement0(X1)
    | ~ aSet0(X2)
    | ~ aElementOf0(X1,X2) ),
    i_0_26 ).

cnf(c_0_224,hypothesis,
    aSet0(xI),
    i_0_149 ).

cnf(c_0_225,hypothesis,
    ~ aElement0(sdtasdt0(xq,xu)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_213]),c_0_221]),c_0_222])]) ).

cnf(c_0_226,plain,
    ( aElement0(sdtasdt0(X1,X2))
    | ~ aElement0(X2)
    | ~ aElement0(X1) ),
    i_0_6 ).

cnf(c_0_227,hypothesis,
    aElement0(xu),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_223,c_0_221]),c_0_224])]) ).

cnf(c_0_228,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_225,c_0_226]),c_0_227]),c_0_222])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : RNG120+4 : TPTP v8.1.0. Released v4.0.0.
% 0.00/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n017.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 16:08:42 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  # ENIGMATIC: Selected complete mode:
% 8.50/2.48  # ENIGMATIC: Solved by autoschedule:
% 8.50/2.48  # No SInE strategy applied
% 8.50/2.48  # Trying AutoSched0 for 150 seconds
% 8.50/2.48  # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S0Y
% 8.50/2.48  # and selection function SelectMaxLComplexAvoidPosPred.
% 8.50/2.48  #
% 8.50/2.48  # Preprocessing time       : 0.030 s
% 8.50/2.48  # Presaturation interreduction done
% 8.50/2.48  
% 8.50/2.48  # Proof found!
% 8.50/2.48  # SZS status Theorem
% 8.50/2.48  # SZS output start CNFRefutation
% See solution above
% 8.50/2.48  # Training examples: 0 positive, 0 negative
% 8.50/2.48  
% 8.50/2.48  # -------------------------------------------------
% 8.50/2.48  # User time                : 0.070 s
% 8.50/2.48  # System time              : 0.009 s
% 8.50/2.48  # Total time               : 0.080 s
% 8.50/2.48  # Maximum resident set size: 7124 pages
% 8.50/2.48  
%------------------------------------------------------------------------------