%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : NUM437+5 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n014.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 08:35:59 EDT 2022

% Result   : Theorem 7.30s 2.34s
% Output   : CNFRefutation 7.30s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   13
% Syntax   : Number of clauses     :   40 (  10 unt;   8 nHn;  40 RR)
%            Number of literals    :   95 (  13 equ;  49 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   3 con; 0-2 aty)
%            Number of variables   :   41 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_123,negated_conjecture,
    ( aElementOf0(esk14_1(X1),xS)
    | ~ aElementOf0(X1,sbsmnsldt0(xS)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uxoroqvl/lgb.p',i_0_123) ).

cnf(i_0_120,negated_conjecture,
    aElementOf0(esk15_0,sbsmnsldt0(xS)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uxoroqvl/lgb.p',i_0_120) ).

cnf(i_0_122,negated_conjecture,
    ( aElementOf0(X1,esk14_1(X1))
    | ~ aElementOf0(X1,sbsmnsldt0(xS)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uxoroqvl/lgb.p',i_0_122) ).

cnf(i_0_105,hypothesis,
    ( epred1_1(X1)
    | ~ aElementOf0(X1,xS) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uxoroqvl/lgb.p',i_0_105) ).

cnf(i_0_127,plain,
    ( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X1,esk18_2(X2,X1)),X2)
    | ~ epred1_1(X2)
    | ~ aElementOf0(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uxoroqvl/lgb.p',i_0_127) ).

cnf(i_0_142,plain,
    ( aSet0(X1)
    | ~ epred1_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uxoroqvl/lgb.p',i_0_142) ).

cnf(i_0_45,plain,
    ( aElementOf0(X1,X2)
    | ~ aSet0(X2)
    | ~ aElementOf0(X1,X3)
    | ~ aSubsetOf0(X3,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uxoroqvl/lgb.p',i_0_45) ).

cnf(i_0_139,plain,
    ( aInteger0(esk18_2(X1,X2))
    | ~ epred1_1(X1)
    | ~ aElementOf0(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uxoroqvl/lgb.p',i_0_139) ).

cnf(i_0_121,negated_conjecture,
    ( aElementOf0(X1,sbsmnsldt0(xS))
    | ~ aInteger0(X1)
    | ~ aElementOf0(X1,X2)
    | ~ aElementOf0(X2,xS) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uxoroqvl/lgb.p',i_0_121) ).

cnf(i_0_110,negated_conjecture,
    ( X1 = sz00
    | aElementOf0(esk17_1(X1),szAzrzSzezqlpdtcmdtrp0(esk15_0,X1))
    | ~ aInteger0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uxoroqvl/lgb.p',i_0_110) ).

cnf(i_0_118,negated_conjecture,
    ( X1 = sz00
    | aInteger0(X2)
    | ~ aInteger0(X1)
    | ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(esk15_0,X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uxoroqvl/lgb.p',i_0_118) ).

cnf(i_0_109,negated_conjecture,
    ( X1 = sz00
    | ~ aInteger0(X1)
    | ~ aElementOf0(esk17_1(X1),sbsmnsldt0(xS)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uxoroqvl/lgb.p',i_0_109) ).

cnf(i_0_138,plain,
    ( esk18_2(X1,X2) != sz00
    | ~ epred1_1(X1)
    | ~ aElementOf0(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-uxoroqvl/lgb.p',i_0_138) ).

cnf(c_0_156,negated_conjecture,
    ( aElementOf0(esk14_1(X1),xS)
    | ~ aElementOf0(X1,sbsmnsldt0(xS)) ),
    i_0_123 ).

cnf(c_0_157,negated_conjecture,
    aElementOf0(esk15_0,sbsmnsldt0(xS)),
    i_0_120 ).

cnf(c_0_158,negated_conjecture,
    ( aElementOf0(X1,esk14_1(X1))
    | ~ aElementOf0(X1,sbsmnsldt0(xS)) ),
    i_0_122 ).

cnf(c_0_159,hypothesis,
    ( epred1_1(X1)
    | ~ aElementOf0(X1,xS) ),
    i_0_105 ).

cnf(c_0_160,negated_conjecture,
    aElementOf0(esk14_1(esk15_0),xS),
    inference(spm,[status(thm)],[c_0_156,c_0_157]) ).

cnf(c_0_161,plain,
    ( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X1,esk18_2(X2,X1)),X2)
    | ~ epred1_1(X2)
    | ~ aElementOf0(X1,X2) ),
    i_0_127 ).

cnf(c_0_162,negated_conjecture,
    aElementOf0(esk15_0,esk14_1(esk15_0)),
    inference(spm,[status(thm)],[c_0_158,c_0_157]) ).

cnf(c_0_163,hypothesis,
    epred1_1(esk14_1(esk15_0)),
    inference(spm,[status(thm)],[c_0_159,c_0_160]) ).

cnf(c_0_164,plain,
    ( aSet0(X1)
    | ~ epred1_1(X1) ),
    i_0_142 ).

cnf(c_0_165,plain,
    ( aElementOf0(X1,X2)
    | ~ aSet0(X2)
    | ~ aElementOf0(X1,X3)
    | ~ aSubsetOf0(X3,X2) ),
    i_0_45 ).

cnf(c_0_166,plain,
    aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(esk15_0,esk18_2(esk14_1(esk15_0),esk15_0)),esk14_1(esk15_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_162]),c_0_163])]) ).

cnf(c_0_167,plain,
    aSet0(esk14_1(esk15_0)),
    inference(spm,[status(thm)],[c_0_164,c_0_163]) ).

cnf(c_0_168,plain,
    ( aInteger0(esk18_2(X1,X2))
    | ~ epred1_1(X1)
    | ~ aElementOf0(X2,X1) ),
    i_0_139 ).

cnf(c_0_169,negated_conjecture,
    ( aElementOf0(X1,sbsmnsldt0(xS))
    | ~ aInteger0(X1)
    | ~ aElementOf0(X1,X2)
    | ~ aElementOf0(X2,xS) ),
    i_0_121 ).

cnf(c_0_170,plain,
    ( aElementOf0(X1,esk14_1(esk15_0))
    | ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(esk15_0,esk18_2(esk14_1(esk15_0),esk15_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_166]),c_0_167])]) ).

cnf(c_0_171,negated_conjecture,
    ( X1 = sz00
    | aElementOf0(esk17_1(X1),szAzrzSzezqlpdtcmdtrp0(esk15_0,X1))
    | ~ aInteger0(X1) ),
    i_0_110 ).

cnf(c_0_172,plain,
    aInteger0(esk18_2(esk14_1(esk15_0),esk15_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_162]),c_0_163])]) ).

cnf(c_0_173,negated_conjecture,
    ( aElementOf0(X1,sbsmnsldt0(xS))
    | ~ aInteger0(X1)
    | ~ aElementOf0(X1,esk14_1(esk15_0)) ),
    inference(spm,[status(thm)],[c_0_169,c_0_160]) ).

cnf(c_0_174,negated_conjecture,
    ( esk18_2(esk14_1(esk15_0),esk15_0) = sz00
    | aElementOf0(esk17_1(esk18_2(esk14_1(esk15_0),esk15_0)),esk14_1(esk15_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_171]),c_0_172])]) ).

cnf(c_0_175,negated_conjecture,
    ( X1 = sz00
    | aInteger0(X2)
    | ~ aInteger0(X1)
    | ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(esk15_0,X1)) ),
    i_0_118 ).

cnf(c_0_176,negated_conjecture,
    ( esk18_2(esk14_1(esk15_0),esk15_0) = sz00
    | aElementOf0(esk17_1(esk18_2(esk14_1(esk15_0),esk15_0)),sbsmnsldt0(xS))
    | ~ aInteger0(esk17_1(esk18_2(esk14_1(esk15_0),esk15_0))) ),
    inference(spm,[status(thm)],[c_0_173,c_0_174]) ).

cnf(c_0_177,negated_conjecture,
    ( X1 = sz00
    | aInteger0(esk17_1(X1))
    | ~ aInteger0(X1) ),
    inference(spm,[status(thm)],[c_0_175,c_0_171]) ).

cnf(c_0_178,negated_conjecture,
    ( X1 = sz00
    | ~ aInteger0(X1)
    | ~ aElementOf0(esk17_1(X1),sbsmnsldt0(xS)) ),
    i_0_109 ).

cnf(c_0_179,negated_conjecture,
    ( esk18_2(esk14_1(esk15_0),esk15_0) = sz00
    | aElementOf0(esk17_1(esk18_2(esk14_1(esk15_0),esk15_0)),sbsmnsldt0(xS)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_177]),c_0_172])]) ).

cnf(c_0_180,plain,
    ( esk18_2(X1,X2) != sz00
    | ~ epred1_1(X1)
    | ~ aElementOf0(X2,X1) ),
    i_0_138 ).

cnf(c_0_181,negated_conjecture,
    esk18_2(esk14_1(esk15_0),esk15_0) = sz00,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_179]),c_0_172])]) ).

cnf(c_0_182,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_181]),c_0_163]),c_0_162])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : NUM437+5 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.11  % Command  : enigmatic-eprover.py %s %d 1
% 0.11/0.32  % Computer : n014.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 600
% 0.11/0.32  % DateTime : Wed Jul  6 03:08:54 EDT 2022
% 0.11/0.32  % CPUTime  : 
% 0.17/0.44  # ENIGMATIC: Selected complete mode:
% 7.30/2.34  # ENIGMATIC: Solved by autoschedule-lgb:
% 7.30/2.34  # No SInE strategy applied
% 7.30/2.34  # Trying AutoSched0 for 150 seconds
% 7.30/2.34  # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S2S
% 7.30/2.34  # and selection function SelectNewComplexAHP.
% 7.30/2.34  #
% 7.30/2.34  # Preprocessing time       : 0.024 s
% 7.30/2.34  # Presaturation interreduction done
% 7.30/2.34  
% 7.30/2.34  # Proof found!
% 7.30/2.34  # SZS status Theorem
% 7.30/2.34  # SZS output start CNFRefutation
% See solution above
% 7.30/2.34  # Training examples: 0 positive, 0 negative
% 7.30/2.34  
% 7.30/2.34  # -------------------------------------------------
% 7.30/2.34  # User time                : 0.034 s
% 7.30/2.34  # System time              : 0.006 s
% 7.30/2.34  # Total time               : 0.040 s
% 7.30/2.34  # Maximum resident set size: 7128 pages
% 7.30/2.34  
%------------------------------------------------------------------------------