TSTP Solution File: NUM600+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : NUM600+1 : 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 08:37:47 EDT 2022

% Result   : Theorem 7.83s 2.26s
% Output   : CNFRefutation 7.83s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   14
% Syntax   : Number of clauses     :   38 (  18 unt;   0 nHn;  38 RR)
%            Number of literals    :   99 (  26 equ;  67 neg)
%            Maximal clause size   :    6 (   2 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   6 con; 0-4 aty)
%            Number of variables   :   53 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_123,plain,
    ( aElementOf0(X1,szDzozmdt0(X2))
    | X3 != sdtlbdtrb0(X2,X4)
    | ~ aElement0(X4)
    | ~ aFunction0(X2)
    | ~ aElementOf0(X1,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-p4ykx3hh/lgb.p',i_0_123) ).

cnf(i_0_188,hypothesis,
    szDzozmdt0(xd) = szNzAzT0,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-p4ykx3hh/lgb.p',i_0_188) ).

cnf(i_0_189,hypothesis,
    aFunction0(xd),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-p4ykx3hh/lgb.p',i_0_189) ).

cnf(i_0_197,negated_conjecture,
    ( sdtlpdtrp0(xe,X1) != esk25_0
    | ~ aElementOf0(X1,szNzAzT0)
    | ~ aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-p4ykx3hh/lgb.p',i_0_197) ).

cnf(i_0_131,plain,
    ( aElementOf0(esk14_4(X1,X2,X3,X4),X2)
    | X3 != sdtlcdtrc0(X1,X2)
    | ~ aFunction0(X1)
    | ~ aElementOf0(X4,X3)
    | ~ aSubsetOf0(X2,szDzozmdt0(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-p4ykx3hh/lgb.p',i_0_131) ).

cnf(i_0_130,plain,
    ( sdtlpdtrp0(X1,esk14_4(X1,X2,X3,X4)) = X4
    | X3 != sdtlcdtrc0(X1,X2)
    | ~ aFunction0(X1)
    | ~ aElementOf0(X4,X3)
    | ~ aSubsetOf0(X2,szDzozmdt0(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-p4ykx3hh/lgb.p',i_0_130) ).

cnf(i_0_193,hypothesis,
    sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))) = xO,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-p4ykx3hh/lgb.p',i_0_193) ).

cnf(i_0_185,hypothesis,
    szDzozmdt0(xe) = szNzAzT0,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-p4ykx3hh/lgb.p',i_0_185) ).

cnf(i_0_186,hypothesis,
    aFunction0(xe),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-p4ykx3hh/lgb.p',i_0_186) ).

cnf(i_0_3,plain,
    ( aElement0(X1)
    | ~ aSet0(X2)
    | ~ aElementOf0(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-p4ykx3hh/lgb.p',i_0_3) ).

cnf(i_0_192,hypothesis,
    aElementOf0(szDzizrdt0(xd),xT),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-p4ykx3hh/lgb.p',i_0_192) ).

cnf(i_0_146,hypothesis,
    aSet0(xT),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-p4ykx3hh/lgb.p',i_0_146) ).

cnf(i_0_125,plain,
    ( aSubsetOf0(sdtlbdtrb0(X1,X2),szDzozmdt0(X1))
    | ~ aElement0(X2)
    | ~ aFunction0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-p4ykx3hh/lgb.p',i_0_125) ).

cnf(i_0_198,negated_conjecture,
    aElementOf0(esk25_0,xO),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-p4ykx3hh/lgb.p',i_0_198) ).

cnf(c_0_213,plain,
    ( aElementOf0(X1,szDzozmdt0(X2))
    | X3 != sdtlbdtrb0(X2,X4)
    | ~ aElement0(X4)
    | ~ aFunction0(X2)
    | ~ aElementOf0(X1,X3) ),
    i_0_123 ).

cnf(c_0_214,hypothesis,
    szDzozmdt0(xd) = szNzAzT0,
    i_0_188 ).

cnf(c_0_215,hypothesis,
    aFunction0(xd),
    i_0_189 ).

cnf(c_0_216,negated_conjecture,
    ( sdtlpdtrp0(xe,X1) != esk25_0
    | ~ aElementOf0(X1,szNzAzT0)
    | ~ aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
    i_0_197 ).

cnf(c_0_217,plain,
    ( aElementOf0(esk14_4(X1,X2,X3,X4),X2)
    | X3 != sdtlcdtrc0(X1,X2)
    | ~ aFunction0(X1)
    | ~ aElementOf0(X4,X3)
    | ~ aSubsetOf0(X2,szDzozmdt0(X1)) ),
    i_0_131 ).

cnf(c_0_218,hypothesis,
    ( aElementOf0(X1,szNzAzT0)
    | X2 != sdtlbdtrb0(xd,X3)
    | ~ aElement0(X3)
    | ~ aElementOf0(X1,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_214]),c_0_215])]) ).

cnf(c_0_219,negated_conjecture,
    ( sdtlpdtrp0(xe,esk14_4(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)),X2,X3)) != esk25_0
    | X2 != sdtlcdtrc0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
    | ~ aSubsetOf0(sdtlbdtrb0(xd,szDzizrdt0(xd)),szDzozmdt0(X1))
    | ~ aFunction0(X1)
    | ~ aElementOf0(esk14_4(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)),X2,X3),szNzAzT0)
    | ~ aElementOf0(X3,X2) ),
    inference(spm,[status(thm)],[c_0_216,c_0_217]) ).

cnf(c_0_220,plain,
    ( sdtlpdtrp0(X1,esk14_4(X1,X2,X3,X4)) = X4
    | X3 != sdtlcdtrc0(X1,X2)
    | ~ aFunction0(X1)
    | ~ aElementOf0(X4,X3)
    | ~ aSubsetOf0(X2,szDzozmdt0(X1)) ),
    i_0_130 ).

cnf(c_0_221,hypothesis,
    sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))) = xO,
    i_0_193 ).

cnf(c_0_222,hypothesis,
    szDzozmdt0(xe) = szNzAzT0,
    i_0_185 ).

cnf(c_0_223,hypothesis,
    aFunction0(xe),
    i_0_186 ).

cnf(c_0_224,hypothesis,
    ( aElementOf0(X1,szNzAzT0)
    | ~ aElement0(X2)
    | ~ aElementOf0(X1,sdtlbdtrb0(xd,X2)) ),
    inference(er,[status(thm)],[c_0_218]) ).

cnf(c_0_225,plain,
    ( aElement0(X1)
    | ~ aSet0(X2)
    | ~ aElementOf0(X1,X2) ),
    i_0_3 ).

cnf(c_0_226,hypothesis,
    aElementOf0(szDzizrdt0(xd),xT),
    i_0_192 ).

cnf(c_0_227,hypothesis,
    aSet0(xT),
    i_0_146 ).

cnf(c_0_228,plain,
    ( X1 != esk25_0
    | X2 != xO
    | ~ aSubsetOf0(sdtlbdtrb0(xd,szDzizrdt0(xd)),szNzAzT0)
    | ~ aElementOf0(esk14_4(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)),X2,X1),szNzAzT0)
    | ~ aElementOf0(X1,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_219,c_0_220]),c_0_221]),c_0_222]),c_0_223])]) ).

cnf(c_0_229,plain,
    ( aElementOf0(esk14_4(X1,sdtlbdtrb0(xd,X2),X3,X4),szNzAzT0)
    | X3 != sdtlcdtrc0(X1,sdtlbdtrb0(xd,X2))
    | ~ aSubsetOf0(sdtlbdtrb0(xd,X2),szDzozmdt0(X1))
    | ~ aFunction0(X1)
    | ~ aElement0(X2)
    | ~ aElementOf0(X4,X3) ),
    inference(spm,[status(thm)],[c_0_224,c_0_217]) ).

cnf(c_0_230,hypothesis,
    aElement0(szDzizrdt0(xd)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_225,c_0_226]),c_0_227])]) ).

cnf(c_0_231,plain,
    ( aSubsetOf0(sdtlbdtrb0(X1,X2),szDzozmdt0(X1))
    | ~ aElement0(X2)
    | ~ aFunction0(X1) ),
    i_0_125 ).

cnf(c_0_232,plain,
    ( X1 != esk25_0
    | X2 != xO
    | ~ aSubsetOf0(sdtlbdtrb0(xd,szDzizrdt0(xd)),szNzAzT0)
    | ~ aElementOf0(X1,X2) ),
    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_228,c_0_229]),c_0_221]),c_0_222]),c_0_223]),c_0_230])]) ).

cnf(c_0_233,hypothesis,
    ( aSubsetOf0(sdtlbdtrb0(xd,X1),szNzAzT0)
    | ~ aElement0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_231,c_0_214]),c_0_215])]) ).

cnf(c_0_234,hypothesis,
    ( X1 != esk25_0
    | X2 != xO
    | ~ aElementOf0(X1,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_233]),c_0_230])]) ).

cnf(c_0_235,negated_conjecture,
    aElementOf0(esk25_0,xO),
    i_0_198 ).

cnf(c_0_236,negated_conjecture,
    $false,
    inference(spm,[status(thm)],[c_0_234,c_0_235]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : NUM600+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.11/0.33  % Computer : n024.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 05:59:01 EDT 2022
% 0.11/0.33  % CPUTime  : 
% 0.18/0.40  # ENIGMATIC: Selected complete mode:
% 7.83/2.26  # ENIGMATIC: Solved by autoschedule-lgb:
% 7.83/2.26  # No SInE strategy applied
% 7.83/2.26  # Trying AutoSched0 for 150 seconds
% 7.83/2.26  # AutoSched0-Mode selected heuristic G_E___302_C18_F1_URBAN_RG_S04BN
% 7.83/2.26  # and selection function PSelectComplexExceptUniqMaxHorn.
% 7.83/2.26  #
% 7.83/2.26  # Preprocessing time       : 0.025 s
% 7.83/2.26  
% 7.83/2.26  # Proof found!
% 7.83/2.26  # SZS status Theorem
% 7.83/2.26  # SZS output start CNFRefutation
% See solution above
% 7.83/2.26  # Training examples: 0 positive, 0 negative
% 7.83/2.26  
% 7.83/2.26  # -------------------------------------------------
% 7.83/2.26  # User time                : 0.079 s
% 7.83/2.26  # System time              : 0.010 s
% 7.83/2.26  # Total time               : 0.089 s
% 7.83/2.26  # Maximum resident set size: 7128 pages
% 7.83/2.26  
%------------------------------------------------------------------------------