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Enigma---0.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : NUM539+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n028.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 08:37:07 EDT 2022

% Result   : Theorem 4.41s 2.28s
% Output   : CNFRefutation 4.41s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   12
% Syntax   : Number of clauses     :   37 (  19 unt;   4 nHn;  37 RR)
%            Number of literals    :   81 (  23 equ;  47 neg)
%            Maximal clause size   :    5 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-1 aty)
%            Number of variables   :   36 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_14,plain,
    ( aElementOf0(X1,X2)
    | ~ aSet0(X2)
    | ~ aElementOf0(X1,X3)
    | ~ aSubsetOf0(X3,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-weoua7sm/input.p',i_0_14) ).

cnf(i_0_85,hypothesis,
    aSubsetOf0(xT,szNzAzT0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-weoua7sm/input.p',i_0_85) ).

cnf(i_0_45,plain,
    aSet0(szNzAzT0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-weoua7sm/input.p',i_0_45) ).

cnf(i_0_77,plain,
    ( X1 = slcrc0
    | sdtlseqdt0(X2,X3)
    | X2 != szmzizndt0(X1)
    | ~ aElementOf0(X3,X1)
    | ~ aSubsetOf0(X1,szNzAzT0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-weoua7sm/input.p',i_0_77) ).

cnf(i_0_6,plain,
    ( X1 != slcrc0
    | ~ aElementOf0(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-weoua7sm/input.p',i_0_6) ).

cnf(i_0_78,plain,
    ( X1 = slcrc0
    | aElementOf0(X2,X1)
    | X2 != szmzizndt0(X1)
    | ~ aSubsetOf0(X1,szNzAzT0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-weoua7sm/input.p',i_0_78) ).

cnf(i_0_83,hypothesis,
    xT != slcrc0,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-weoua7sm/input.p',i_0_83) ).

cnf(i_0_88,hypothesis,
    aElementOf0(szmzizndt0(xS),xT),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-weoua7sm/input.p',i_0_88) ).

cnf(i_0_86,hypothesis,
    aSubsetOf0(xS,szNzAzT0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-weoua7sm/input.p',i_0_86) ).

cnf(i_0_60,plain,
    ( X1 = X2
    | ~ sdtlseqdt0(X2,X1)
    | ~ sdtlseqdt0(X1,X2)
    | ~ aElementOf0(X2,szNzAzT0)
    | ~ aElementOf0(X1,szNzAzT0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-weoua7sm/input.p',i_0_60) ).

cnf(i_0_87,hypothesis,
    aElementOf0(szmzizndt0(xT),xS),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-weoua7sm/input.p',i_0_87) ).

cnf(i_0_89,negated_conjecture,
    szmzizndt0(xT) != szmzizndt0(xS),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-weoua7sm/input.p',i_0_89) ).

cnf(c_0_102,plain,
    ( aElementOf0(X1,X2)
    | ~ aSet0(X2)
    | ~ aElementOf0(X1,X3)
    | ~ aSubsetOf0(X3,X2) ),
    i_0_14 ).

cnf(c_0_103,hypothesis,
    aSubsetOf0(xT,szNzAzT0),
    i_0_85 ).

cnf(c_0_104,plain,
    aSet0(szNzAzT0),
    i_0_45 ).

cnf(c_0_105,plain,
    ( X1 = slcrc0
    | sdtlseqdt0(X2,X3)
    | X2 != szmzizndt0(X1)
    | ~ aElementOf0(X3,X1)
    | ~ aSubsetOf0(X1,szNzAzT0) ),
    i_0_77 ).

cnf(c_0_106,plain,
    ( X1 != slcrc0
    | ~ aElementOf0(X2,X1) ),
    i_0_6 ).

cnf(c_0_107,plain,
    ( X1 = slcrc0
    | aElementOf0(X2,X1)
    | X2 != szmzizndt0(X1)
    | ~ aSubsetOf0(X1,szNzAzT0) ),
    i_0_78 ).

cnf(c_0_108,hypothesis,
    xT != slcrc0,
    i_0_83 ).

cnf(c_0_109,hypothesis,
    ( aElementOf0(X1,szNzAzT0)
    | ~ aElementOf0(X1,xT) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_103]),c_0_104])]) ).

cnf(c_0_110,hypothesis,
    aElementOf0(szmzizndt0(xS),xT),
    i_0_88 ).

cnf(c_0_111,plain,
    ( sdtlseqdt0(X1,X2)
    | X1 != szmzizndt0(X3)
    | ~ aSubsetOf0(X3,szNzAzT0)
    | ~ aElementOf0(X2,X3) ),
    inference(csr,[status(thm)],[c_0_105,c_0_106]) ).

cnf(c_0_112,hypothesis,
    aSubsetOf0(xS,szNzAzT0),
    i_0_86 ).

cnf(c_0_113,hypothesis,
    ( aElementOf0(X1,xT)
    | X1 != szmzizndt0(xT) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_103]),c_0_108]) ).

cnf(c_0_114,plain,
    ( X1 = X2
    | ~ sdtlseqdt0(X2,X1)
    | ~ sdtlseqdt0(X1,X2)
    | ~ aElementOf0(X2,szNzAzT0)
    | ~ aElementOf0(X1,szNzAzT0) ),
    i_0_60 ).

cnf(c_0_115,hypothesis,
    aElementOf0(szmzizndt0(xS),szNzAzT0),
    inference(spm,[status(thm)],[c_0_109,c_0_110]) ).

cnf(c_0_116,hypothesis,
    ( sdtlseqdt0(X1,X2)
    | X1 != szmzizndt0(xS)
    | ~ aElementOf0(X2,xS) ),
    inference(spm,[status(thm)],[c_0_111,c_0_112]) ).

cnf(c_0_117,hypothesis,
    aElementOf0(szmzizndt0(xT),xS),
    i_0_87 ).

cnf(c_0_118,hypothesis,
    aElementOf0(szmzizndt0(xT),xT),
    inference(er,[status(thm)],[c_0_113]) ).

cnf(c_0_119,plain,
    ( X1 = szmzizndt0(xS)
    | ~ sdtlseqdt0(szmzizndt0(xS),X1)
    | ~ sdtlseqdt0(X1,szmzizndt0(xS))
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(spm,[status(thm)],[c_0_114,c_0_115]) ).

cnf(c_0_120,hypothesis,
    ( sdtlseqdt0(X1,szmzizndt0(xT))
    | X1 != szmzizndt0(xS) ),
    inference(spm,[status(thm)],[c_0_116,c_0_117]) ).

cnf(c_0_121,hypothesis,
    aElementOf0(szmzizndt0(xT),szNzAzT0),
    inference(spm,[status(thm)],[c_0_109,c_0_118]) ).

cnf(c_0_122,negated_conjecture,
    szmzizndt0(xT) != szmzizndt0(xS),
    i_0_89 ).

cnf(c_0_123,hypothesis,
    ( sdtlseqdt0(X1,X2)
    | X1 != szmzizndt0(xT)
    | ~ aElementOf0(X2,xT) ),
    inference(spm,[status(thm)],[c_0_111,c_0_103]) ).

cnf(c_0_124,hypothesis,
    ~ sdtlseqdt0(szmzizndt0(xT),szmzizndt0(xS)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_120]),c_0_121])]),c_0_122]) ).

cnf(c_0_125,hypothesis,
    ( sdtlseqdt0(X1,szmzizndt0(xS))
    | X1 != szmzizndt0(xT) ),
    inference(spm,[status(thm)],[c_0_123,c_0_110]) ).

cnf(c_0_126,hypothesis,
    $false,
    inference(spm,[status(thm)],[c_0_124,c_0_125]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : NUM539+1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.11/0.33  % Computer : n028.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 600
% 0.11/0.33  % DateTime : Thu Jul  7 01:37:54 EDT 2022
% 0.11/0.33  % CPUTime  : 
% 0.18/0.44  # ENIGMATIC: Selected complete mode:
% 4.41/2.28  # ENIGMATIC: Solved by autoschedule:
% 4.41/2.28  # No SInE strategy applied
% 4.41/2.28  # Trying AutoSched0 for 150 seconds
% 4.41/2.28  # AutoSched0-Mode selected heuristic G_E___302_C18_F1_URBAN_RG_S04BN
% 4.41/2.28  # and selection function PSelectComplexExceptUniqMaxHorn.
% 4.41/2.28  #
% 4.41/2.28  # Preprocessing time       : 0.015 s
% 4.41/2.28  
% 4.41/2.28  # Proof found!
% 4.41/2.28  # SZS status Theorem
% 4.41/2.28  # SZS output start CNFRefutation
% See solution above
% 4.41/2.28  # Training examples: 0 positive, 0 negative
% 4.41/2.28  
% 4.41/2.28  # -------------------------------------------------
% 4.41/2.28  # User time                : 0.028 s
% 4.41/2.28  # System time              : 0.003 s
% 4.41/2.28  # Total time               : 0.031 s
% 4.41/2.28  # Maximum resident set size: 7124 pages
% 4.41/2.28  
%------------------------------------------------------------------------------