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Enigma---0.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : NUM474+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n007.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 08:36:24 EDT 2022

% Result   : Theorem 8.91s 2.58s
% Output   : CNFRefutation 8.91s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   24 (  21 unt;   0 nHn;  24 RR)
%            Number of literals    :   31 (  17 equ;  12 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   7 con; 0-2 aty)
%            Number of variables   :    7 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_80,negated_conjecture,
    sdtpldt0(sdtasdt0(xl,xp),sdtasdt0(xl,xr)) != sdtpldt0(sdtasdt0(xl,xp),xn),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ph50uu_v/lgb.p',i_0_80) ).

cnf(i_0_69,hypothesis,
    sdtasdt0(xl,xp) = xm,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ph50uu_v/lgb.p',i_0_69) ).

cnf(i_0_62,hypothesis,
    sdtpldt0(xm,xn) = sdtasdt0(xl,esk4_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ph50uu_v/lgb.p',i_0_62) ).

cnf(i_0_72,hypothesis,
    sdtpldt0(xm,xn) = sdtasdt0(xl,xq),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ph50uu_v/lgb.p',i_0_72) ).

cnf(i_0_18,plain,
    ( sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3)) = sdtasdt0(X1,sdtpldt0(X2,X3))
    | ~ aNaturalNumber0(X3)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ph50uu_v/lgb.p',i_0_18) ).

cnf(i_0_70,hypothesis,
    aNaturalNumber0(xp),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ph50uu_v/lgb.p',i_0_70) ).

cnf(i_0_60,hypothesis,
    aNaturalNumber0(xl),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ph50uu_v/lgb.p',i_0_60) ).

cnf(i_0_78,hypothesis,
    sdtpldt0(xp,xr) = xq,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ph50uu_v/lgb.p',i_0_78) ).

cnf(i_0_79,hypothesis,
    aNaturalNumber0(xr),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ph50uu_v/lgb.p',i_0_79) ).

cnf(c_0_90,negated_conjecture,
    sdtpldt0(sdtasdt0(xl,xp),sdtasdt0(xl,xr)) != sdtpldt0(sdtasdt0(xl,xp),xn),
    i_0_80 ).

cnf(c_0_91,hypothesis,
    sdtasdt0(xl,xp) = xm,
    i_0_69 ).

cnf(c_0_92,negated_conjecture,
    sdtpldt0(xm,sdtasdt0(xl,xr)) != sdtpldt0(xm,xn),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_90,c_0_91]),c_0_91]) ).

cnf(c_0_93,hypothesis,
    sdtpldt0(xm,xn) = sdtasdt0(xl,esk4_0),
    i_0_62 ).

cnf(c_0_94,hypothesis,
    sdtpldt0(xm,xn) = sdtasdt0(xl,xq),
    i_0_72 ).

cnf(c_0_95,negated_conjecture,
    sdtpldt0(xm,sdtasdt0(xl,xr)) != sdtasdt0(xl,esk4_0),
    inference(rw,[status(thm)],[c_0_92,c_0_93]) ).

cnf(c_0_96,hypothesis,
    sdtasdt0(xl,esk4_0) = sdtasdt0(xl,xq),
    inference(rw,[status(thm)],[c_0_94,c_0_93]) ).

cnf(c_0_97,plain,
    ( sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3)) = sdtasdt0(X1,sdtpldt0(X2,X3))
    | ~ aNaturalNumber0(X3)
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1) ),
    i_0_18 ).

cnf(c_0_98,hypothesis,
    aNaturalNumber0(xp),
    i_0_70 ).

cnf(c_0_99,hypothesis,
    aNaturalNumber0(xl),
    i_0_60 ).

cnf(c_0_100,negated_conjecture,
    sdtpldt0(xm,sdtasdt0(xl,xr)) != sdtasdt0(xl,xq),
    inference(rw,[status(thm)],[c_0_95,c_0_96]) ).

cnf(c_0_101,hypothesis,
    ( sdtpldt0(xm,sdtasdt0(xl,X1)) = sdtasdt0(xl,sdtpldt0(xp,X1))
    | ~ aNaturalNumber0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_91]),c_0_98]),c_0_99])]) ).

cnf(c_0_102,hypothesis,
    sdtpldt0(xp,xr) = xq,
    i_0_78 ).

cnf(c_0_103,hypothesis,
    aNaturalNumber0(xr),
    i_0_79 ).

cnf(c_0_104,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_102]),c_0_103])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : NUM474+2 : TPTP v8.1.0. Released v4.0.0.
% 0.13/0.14  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.35  % Computer : n007.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Thu Jul  7 02:19:15 EDT 2022
% 0.20/0.36  % CPUTime  : 
% 0.20/0.47  # ENIGMATIC: Selected complete mode:
% 8.91/2.58  # ENIGMATIC: Solved by autoschedule-lgb:
% 8.91/2.58  # No SInE strategy applied
% 8.91/2.58  # Trying AutoSched0 for 150 seconds
% 8.91/2.58  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_S2m
% 8.91/2.58  # and selection function SelectCQArNTNpEqFirst.
% 8.91/2.58  #
% 8.91/2.58  # Preprocessing time       : 0.024 s
% 8.91/2.58  # Presaturation interreduction done
% 8.91/2.58  
% 8.91/2.58  # Proof found!
% 8.91/2.58  # SZS status Theorem
% 8.91/2.58  # SZS output start CNFRefutation
% See solution above
% 8.91/2.58  # Training examples: 0 positive, 0 negative
% 8.91/2.58  
% 8.91/2.58  # -------------------------------------------------
% 8.91/2.58  # User time                : 0.170 s
% 8.91/2.58  # System time              : 0.013 s
% 8.91/2.58  # Total time               : 0.183 s
% 8.91/2.58  # Maximum resident set size: 7124 pages
% 8.91/2.58  
%------------------------------------------------------------------------------