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Enigma---0.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : RNG090+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n024.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 20:24:57 EDT 2022

% Result   : Theorem 7.79s 2.39s
% Output   : CNFRefutation 7.79s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   19
% Syntax   : Number of clauses     :   62 (  42 unt;   0 nHn;  62 RR)
%            Number of literals    :   99 (  34 equ;  46 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   14 (  14 usr;  13 con; 0-2 aty)
%            Number of variables   :   31 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_69,hypothesis,
    sdtpldt0(esk12_0,esk13_0) = xx,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-55qm4f6a/input.p',i_0_69) ).

cnf(i_0_72,hypothesis,
    sdtpldt0(xk,xl) = xx,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-55qm4f6a/input.p',i_0_72) ).

cnf(i_0_65,hypothesis,
    sdtpldt0(esk14_0,esk15_0) = xy,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-55qm4f6a/input.p',i_0_65) ).

cnf(i_0_75,hypothesis,
    sdtpldt0(xm,xn) = xy,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-55qm4f6a/input.p',i_0_75) ).

cnf(i_0_82,negated_conjecture,
    sdtpldt0(sdtpldt0(xk,xm),sdtpldt0(xl,xn)) != sdtpldt0(xx,xy),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-55qm4f6a/input.p',i_0_82) ).

cnf(i_0_8,plain,
    ( sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3))
    | ~ aElement0(X3)
    | ~ aElement0(X2)
    | ~ aElement0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-55qm4f6a/input.p',i_0_8) ).

cnf(i_0_26,plain,
    ( aElement0(X1)
    | ~ aSet0(X2)
    | ~ aElementOf0(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-55qm4f6a/input.p',i_0_26) ).

cnf(i_0_77,hypothesis,
    aElementOf0(xm,xI),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-55qm4f6a/input.p',i_0_77) ).

cnf(i_0_62,hypothesis,
    aSet0(xI),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-55qm4f6a/input.p',i_0_62) ).

cnf(i_0_7,plain,
    ( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
    | ~ aElement0(X2)
    | ~ aElement0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-55qm4f6a/input.p',i_0_7) ).

cnf(i_0_5,plain,
    ( aElement0(sdtpldt0(X1,X2))
    | ~ aElement0(X2)
    | ~ aElement0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-55qm4f6a/input.p',i_0_5) ).

cnf(i_0_76,hypothesis,
    aElementOf0(xn,xJ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-55qm4f6a/input.p',i_0_76) ).

cnf(i_0_58,hypothesis,
    aSet0(xJ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-55qm4f6a/input.p',i_0_58) ).

cnf(i_0_9,plain,
    ( sdtpldt0(sz00,X1) = X1
    | ~ aElement0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-55qm4f6a/input.p',i_0_9) ).

cnf(i_0_2,plain,
    aElement0(sz00),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-55qm4f6a/input.p',i_0_2) ).

cnf(i_0_74,hypothesis,
    aElementOf0(xk,xI),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-55qm4f6a/input.p',i_0_74) ).

cnf(i_0_10,plain,
    ( sdtpldt0(X1,sz00) = X1
    | ~ aElement0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-55qm4f6a/input.p',i_0_10) ).

cnf(i_0_78,hypothesis,
    aElementOf0(sdtpldt0(xl,xn),xJ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-55qm4f6a/input.p',i_0_78) ).

cnf(i_0_73,hypothesis,
    aElementOf0(xl,xJ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-55qm4f6a/input.p',i_0_73) ).

cnf(c_0_102,hypothesis,
    sdtpldt0(esk12_0,esk13_0) = xx,
    i_0_69 ).

cnf(c_0_103,hypothesis,
    sdtpldt0(xk,xl) = xx,
    i_0_72 ).

cnf(c_0_104,hypothesis,
    sdtpldt0(esk14_0,esk15_0) = xy,
    i_0_65 ).

cnf(c_0_105,hypothesis,
    sdtpldt0(xm,xn) = xy,
    i_0_75 ).

cnf(c_0_106,negated_conjecture,
    sdtpldt0(sdtpldt0(xk,xm),sdtpldt0(xl,xn)) != sdtpldt0(xx,xy),
    i_0_82 ).

cnf(c_0_107,hypothesis,
    sdtpldt0(xk,xl) = sdtpldt0(esk12_0,esk13_0),
    inference(rw,[status(thm)],[c_0_102,c_0_103]) ).

cnf(c_0_108,hypothesis,
    sdtpldt0(xm,xn) = sdtpldt0(esk14_0,esk15_0),
    inference(rw,[status(thm)],[c_0_104,c_0_105]) ).

cnf(c_0_109,negated_conjecture,
    sdtpldt0(sdtpldt0(xk,xm),sdtpldt0(xl,xn)) != sdtpldt0(sdtpldt0(esk12_0,esk13_0),sdtpldt0(esk14_0,esk15_0)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_106,c_0_103]),c_0_107]),c_0_105]),c_0_108]) ).

cnf(c_0_110,plain,
    ( sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3))
    | ~ aElement0(X3)
    | ~ aElement0(X2)
    | ~ aElement0(X1) ),
    i_0_8 ).

cnf(c_0_111,plain,
    ( aElement0(X1)
    | ~ aSet0(X2)
    | ~ aElementOf0(X1,X2) ),
    i_0_26 ).

cnf(c_0_112,hypothesis,
    aElementOf0(xm,xI),
    i_0_77 ).

cnf(c_0_113,hypothesis,
    aSet0(xI),
    i_0_62 ).

cnf(c_0_114,plain,
    ( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
    | ~ aElement0(X2)
    | ~ aElement0(X1) ),
    i_0_7 ).

cnf(c_0_115,plain,
    ( aElement0(sdtpldt0(X1,X2))
    | ~ aElement0(X2)
    | ~ aElement0(X1) ),
    i_0_5 ).

cnf(c_0_116,hypothesis,
    aElementOf0(xn,xJ),
    i_0_76 ).

cnf(c_0_117,hypothesis,
    aSet0(xJ),
    i_0_58 ).

cnf(c_0_118,plain,
    ( sdtpldt0(sz00,X1) = X1
    | ~ aElement0(X1) ),
    i_0_9 ).

cnf(c_0_119,plain,
    aElement0(sz00),
    i_0_2 ).

cnf(c_0_120,negated_conjecture,
    ( sdtpldt0(xk,sdtpldt0(xm,sdtpldt0(xl,xn))) != sdtpldt0(sdtpldt0(esk12_0,esk13_0),sdtpldt0(esk14_0,esk15_0))
    | ~ aElement0(sdtpldt0(xl,xn))
    | ~ aElement0(xm)
    | ~ aElement0(xk) ),
    inference(spm,[status(thm)],[c_0_109,c_0_110]) ).

cnf(c_0_121,hypothesis,
    aElement0(xm),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_112]),c_0_113])]) ).

cnf(c_0_122,hypothesis,
    aElementOf0(xk,xI),
    i_0_74 ).

cnf(c_0_123,plain,
    ( sdtpldt0(X1,sz00) = X1
    | ~ aElement0(X1) ),
    i_0_10 ).

cnf(c_0_124,plain,
    ( sdtpldt0(X1,sdtpldt0(X2,X3)) = sdtpldt0(X3,sdtpldt0(X1,X2))
    | ~ aElement0(X3)
    | ~ aElement0(X2)
    | ~ aElement0(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_110]),c_0_115]) ).

cnf(c_0_125,hypothesis,
    aElement0(xn),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_116]),c_0_117])]) ).

cnf(c_0_126,plain,
    ( sdtpldt0(sz00,sdtpldt0(X1,X2)) = sdtpldt0(X1,X2)
    | ~ aElement0(X2)
    | ~ aElement0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_118]),c_0_119])]) ).

cnf(c_0_127,negated_conjecture,
    ( sdtpldt0(xk,sdtpldt0(xm,sdtpldt0(xl,xn))) != sdtpldt0(sdtpldt0(esk12_0,esk13_0),sdtpldt0(esk14_0,esk15_0))
    | ~ aElement0(sdtpldt0(xl,xn))
    | ~ aElement0(xk) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_120,c_0_121])]) ).

cnf(c_0_128,hypothesis,
    aElement0(xk),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_122]),c_0_113])]) ).

cnf(c_0_129,hypothesis,
    aElementOf0(sdtpldt0(xl,xn),xJ),
    i_0_78 ).

cnf(c_0_130,plain,
    ( sdtpldt0(X1,sdtpldt0(sz00,X2)) = sdtpldt0(X1,X2)
    | ~ aElement0(X2)
    | ~ aElement0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_123]),c_0_119])]) ).

cnf(c_0_131,hypothesis,
    ( sdtpldt0(xn,sdtpldt0(X1,xm)) = sdtpldt0(X1,sdtpldt0(esk14_0,esk15_0))
    | ~ aElement0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_108]),c_0_125]),c_0_121])]) ).

cnf(c_0_132,hypothesis,
    sdtpldt0(sz00,sdtpldt0(esk14_0,esk15_0)) = sdtpldt0(esk14_0,esk15_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_108]),c_0_125]),c_0_121])]) ).

cnf(c_0_133,negated_conjecture,
    ( sdtpldt0(xk,sdtpldt0(xm,sdtpldt0(xl,xn))) != sdtpldt0(sdtpldt0(esk12_0,esk13_0),sdtpldt0(esk14_0,esk15_0))
    | ~ aElement0(sdtpldt0(xl,xn)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_127,c_0_128])]) ).

cnf(c_0_134,hypothesis,
    aElement0(sdtpldt0(xl,xn)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_129]),c_0_117])]) ).

cnf(c_0_135,plain,
    sdtpldt0(xn,xm) = sdtpldt0(esk14_0,esk15_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_131]),c_0_132]),c_0_121]),c_0_125]),c_0_119])]) ).

cnf(c_0_136,hypothesis,
    aElementOf0(xl,xJ),
    i_0_73 ).

cnf(c_0_137,negated_conjecture,
    sdtpldt0(xk,sdtpldt0(xm,sdtpldt0(xl,xn))) != sdtpldt0(sdtpldt0(esk12_0,esk13_0),sdtpldt0(esk14_0,esk15_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_133,c_0_134])]) ).

cnf(c_0_138,plain,
    ( sdtpldt0(xm,sdtpldt0(X1,xn)) = sdtpldt0(X1,sdtpldt0(esk14_0,esk15_0))
    | ~ aElement0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_135]),c_0_121]),c_0_125])]) ).

cnf(c_0_139,hypothesis,
    aElement0(xl),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_136]),c_0_117])]) ).

cnf(c_0_140,negated_conjecture,
    sdtpldt0(xk,sdtpldt0(xl,sdtpldt0(esk14_0,esk15_0))) != sdtpldt0(sdtpldt0(esk12_0,esk13_0),sdtpldt0(esk14_0,esk15_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_138]),c_0_139])]) ).

cnf(c_0_141,hypothesis,
    aElement0(sdtpldt0(esk14_0,esk15_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_108]),c_0_125]),c_0_121])]) ).

cnf(c_0_142,plain,
    sdtpldt0(sdtpldt0(esk14_0,esk15_0),sdtpldt0(esk12_0,esk13_0)) != sdtpldt0(sdtpldt0(esk12_0,esk13_0),sdtpldt0(esk14_0,esk15_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_124]),c_0_107]),c_0_141]),c_0_139]),c_0_128])]) ).

cnf(c_0_143,hypothesis,
    aElement0(sdtpldt0(esk12_0,esk13_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_107]),c_0_139]),c_0_128])]) ).

cnf(c_0_144,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_114]),c_0_143]),c_0_141])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : RNG090+2 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n024.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 13:40:23 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.18/0.45  # ENIGMATIC: Selected complete mode:
% 7.79/2.39  # ENIGMATIC: Solved by autoschedule:
% 7.79/2.39  # No SInE strategy applied
% 7.79/2.39  # Trying AutoSched0 for 150 seconds
% 7.79/2.39  # AutoSched0-Mode selected heuristic G_E___107_B42_F1_PI_SE_Q4_CS_SP_PS_S0Y
% 7.79/2.39  # and selection function SelectMaxLComplexAvoidPosPred.
% 7.79/2.39  #
% 7.79/2.39  # Preprocessing time       : 0.024 s
% 7.79/2.39  # Presaturation interreduction done
% 7.79/2.39  
% 7.79/2.39  # Proof found!
% 7.79/2.39  # SZS status Theorem
% 7.79/2.39  # SZS output start CNFRefutation
% See solution above
% 7.79/2.39  # Training examples: 0 positive, 0 negative
% 7.79/2.39  
% 7.79/2.39  # -------------------------------------------------
% 7.79/2.39  # User time                : 0.076 s
% 7.79/2.39  # System time              : 0.006 s
% 7.79/2.39  # Total time               : 0.082 s
% 7.79/2.39  # Maximum resident set size: 7124 pages
% 7.79/2.39  
%------------------------------------------------------------------------------