TSTP Solution File: NUM512+3 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : NUM512+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n008.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 08:36:49 EDT 2022

% Result   : Theorem 7.94s 2.41s
% Output   : CNFRefutation 7.94s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   12
% Syntax   : Number of clauses     :   33 (  20 unt;   0 nHn;  33 RR)
%            Number of literals    :   52 (  30 equ;  26 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :   10 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_221,hypothesis,
    sdtasdt0(xp,xk) = sdtasdt0(xn,xm),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-pabmp3o3/input.p',i_0_221) ).

cnf(i_0_220,hypothesis,
    sdtsldt0(sdtasdt0(xn,xm),xp) = xk,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-pabmp3o3/input.p',i_0_220) ).

cnf(i_0_265,negated_conjecture,
    ( sdtasdt0(sdtsldt0(sdtasdt0(xp,xk),xr),xr) != sdtasdt0(xn,xm)
    | sdtasdt0(sdtasdt0(sdtsldt0(xn,xr),xm),xr) != sdtasdt0(xn,xm) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-pabmp3o3/input.p',i_0_265) ).

cnf(i_0_267,negated_conjecture,
    ( aNaturalNumber0(sdtsldt0(sdtasdt0(xp,xk),xr))
    | sdtasdt0(sdtasdt0(sdtsldt0(xn,xr),xm),xr) != sdtasdt0(xn,xm) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-pabmp3o3/input.p',i_0_267) ).

cnf(i_0_266,negated_conjecture,
    ( sdtasdt0(xr,sdtsldt0(sdtasdt0(xp,xk),xr)) = sdtasdt0(xp,xk)
    | sdtasdt0(sdtasdt0(sdtsldt0(xn,xr),xm),xr) != sdtasdt0(xn,xm) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-pabmp3o3/input.p',i_0_266) ).

cnf(i_0_11,plain,
    ( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-pabmp3o3/input.p',i_0_11) ).

cnf(i_0_235,hypothesis,
    aNaturalNumber0(xr),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-pabmp3o3/input.p',i_0_235) ).

cnf(i_0_72,hypothesis,
    aNaturalNumber0(xm),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-pabmp3o3/input.p',i_0_72) ).

cnf(i_0_261,hypothesis,
    aNaturalNumber0(sdtsldt0(xn,xr)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-pabmp3o3/input.p',i_0_261) ).

cnf(i_0_12,plain,
    ( sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
    | ~ aNaturalNumber0(X3)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-pabmp3o3/input.p',i_0_12) ).

cnf(i_0_260,hypothesis,
    sdtasdt0(xr,sdtsldt0(xn,xr)) = xn,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-pabmp3o3/input.p',i_0_260) ).

cnf(i_0_73,hypothesis,
    aNaturalNumber0(xn),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-pabmp3o3/input.p',i_0_73) ).

cnf(c_0_280,hypothesis,
    sdtasdt0(xp,xk) = sdtasdt0(xn,xm),
    i_0_221 ).

cnf(c_0_281,hypothesis,
    sdtsldt0(sdtasdt0(xn,xm),xp) = xk,
    i_0_220 ).

cnf(c_0_282,negated_conjecture,
    ( sdtasdt0(sdtsldt0(sdtasdt0(xp,xk),xr),xr) != sdtasdt0(xn,xm)
    | sdtasdt0(sdtasdt0(sdtsldt0(xn,xr),xm),xr) != sdtasdt0(xn,xm) ),
    i_0_265 ).

cnf(c_0_283,hypothesis,
    sdtasdt0(xp,sdtsldt0(sdtasdt0(xn,xm),xp)) = sdtasdt0(xn,xm),
    inference(rw,[status(thm)],[c_0_280,c_0_281]) ).

cnf(c_0_284,negated_conjecture,
    ( aNaturalNumber0(sdtsldt0(sdtasdt0(xp,xk),xr))
    | sdtasdt0(sdtasdt0(sdtsldt0(xn,xr),xm),xr) != sdtasdt0(xn,xm) ),
    i_0_267 ).

cnf(c_0_285,negated_conjecture,
    ( sdtasdt0(xr,sdtsldt0(sdtasdt0(xp,xk),xr)) = sdtasdt0(xp,xk)
    | sdtasdt0(sdtasdt0(sdtsldt0(xn,xr),xm),xr) != sdtasdt0(xn,xm) ),
    i_0_266 ).

cnf(c_0_286,negated_conjecture,
    ( sdtasdt0(sdtasdt0(sdtsldt0(xn,xr),xm),xr) != sdtasdt0(xn,xm)
    | sdtasdt0(sdtsldt0(sdtasdt0(xn,xm),xr),xr) != sdtasdt0(xn,xm) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_282,c_0_281]),c_0_283]) ).

cnf(c_0_287,plain,
    ( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1) ),
    i_0_11 ).

cnf(c_0_288,hypothesis,
    aNaturalNumber0(xr),
    i_0_235 ).

cnf(c_0_289,negated_conjecture,
    ( aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),xr))
    | sdtasdt0(sdtasdt0(sdtsldt0(xn,xr),xm),xr) != sdtasdt0(xn,xm) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_284,c_0_281]),c_0_283]) ).

cnf(c_0_290,negated_conjecture,
    ( sdtasdt0(xr,sdtsldt0(sdtasdt0(xn,xm),xr)) = sdtasdt0(xn,xm)
    | sdtasdt0(sdtasdt0(sdtsldt0(xn,xr),xm),xr) != sdtasdt0(xn,xm) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_285,c_0_281]),c_0_283]),c_0_281]),c_0_283]) ).

cnf(c_0_291,negated_conjecture,
    sdtasdt0(sdtasdt0(sdtsldt0(xn,xr),xm),xr) != sdtasdt0(xn,xm),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_286,c_0_287]),c_0_288])]),c_0_289]),c_0_290]) ).

cnf(c_0_292,hypothesis,
    aNaturalNumber0(xm),
    i_0_72 ).

cnf(c_0_293,hypothesis,
    aNaturalNumber0(sdtsldt0(xn,xr)),
    i_0_261 ).

cnf(c_0_294,plain,
    sdtasdt0(sdtasdt0(xm,sdtsldt0(xn,xr)),xr) != sdtasdt0(xn,xm),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_291,c_0_287]),c_0_292]),c_0_293])]) ).

cnf(c_0_295,plain,
    ( sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
    | ~ aNaturalNumber0(X3)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1) ),
    i_0_12 ).

cnf(c_0_296,plain,
    sdtasdt0(xm,sdtasdt0(sdtsldt0(xn,xr),xr)) != sdtasdt0(xn,xm),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_294,c_0_295]),c_0_288]),c_0_293]),c_0_292])]) ).

cnf(c_0_297,hypothesis,
    sdtasdt0(xr,sdtsldt0(xn,xr)) = xn,
    i_0_260 ).

cnf(c_0_298,plain,
    sdtasdt0(xm,xn) != sdtasdt0(xn,xm),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_296,c_0_287]),c_0_297]),c_0_288]),c_0_293])]) ).

cnf(c_0_299,hypothesis,
    aNaturalNumber0(xn),
    i_0_73 ).

cnf(c_0_300,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_298,c_0_287]),c_0_299]),c_0_292])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : NUM512+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n008.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 : Tue Jul  5 10:42:54 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  # ENIGMATIC: Selected complete mode:
% 7.94/2.41  # ENIGMATIC: Solved by autoschedule:
% 7.94/2.41  # No SInE strategy applied
% 7.94/2.41  # Trying AutoSched0 for 150 seconds
% 7.94/2.41  # AutoSched0-Mode selected heuristic G_E___208_B07_F1_SE_CS_SP_PS_S0Y
% 7.94/2.41  # and selection function SelectMaxLComplexAvoidPosPred.
% 7.94/2.41  #
% 7.94/2.41  # Preprocessing time       : 0.017 s
% 7.94/2.41  # Presaturation interreduction done
% 7.94/2.41  
% 7.94/2.41  # Proof found!
% 7.94/2.41  # SZS status Theorem
% 7.94/2.41  # SZS output start CNFRefutation
% See solution above
% 7.94/2.41  # Training examples: 0 positive, 0 negative
% 7.94/2.41  
% 7.94/2.41  # -------------------------------------------------
% 7.94/2.41  # User time                : 0.049 s
% 7.94/2.41  # System time              : 0.004 s
% 7.94/2.41  # Total time               : 0.053 s
% 7.94/2.41  # Maximum resident set size: 7120 pages
% 7.94/2.41  
%------------------------------------------------------------------------------