TSTP Solution File: NUM604+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : NUM604+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n003.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 08:37:49 EDT 2022

% Result   : Theorem 8.85s 2.38s
% Output   : CNFRefutation 8.85s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   14
% Syntax   : Number of clauses     :   36 (  17 unt;   4 nHn;  36 RR)
%            Number of literals    :   69 (  15 equ;  34 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   7 con; 0-2 aty)
%            Number of variables   :   27 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_15,plain,
    ( aSet0(X1)
    | ~ aSet0(X2)
    | ~ aSubsetOf0(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_axgi_f8/lgb.p',i_0_15) ).

cnf(i_0_149,hypothesis,
    aSubsetOf0(xS,szNzAzT0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_axgi_f8/lgb.p',i_0_149) ).

cnf(i_0_45,plain,
    aSet0(szNzAzT0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_axgi_f8/lgb.p',i_0_45) ).

cnf(i_0_78,plain,
    ( X1 = slcrc0
    | aElementOf0(X2,X1)
    | X2 != szmzizndt0(X1)
    | ~ aSubsetOf0(X1,szNzAzT0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_axgi_f8/lgb.p',i_0_78) ).

cnf(i_0_14,plain,
    ( aElementOf0(X1,X2)
    | ~ aSet0(X2)
    | ~ aElementOf0(X1,X3)
    | ~ aSubsetOf0(X3,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_axgi_f8/lgb.p',i_0_14) ).

cnf(i_0_203,hypothesis,
    aSubsetOf0(sdtlpdtrp0(xN,xi),xS),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_axgi_f8/lgb.p',i_0_203) ).

cnf(i_0_184,hypothesis,
    ( szmzizndt0(sdtlpdtrp0(xN,X1)) = sdtlpdtrp0(xe,X1)
    | ~ aElementOf0(X1,szNzAzT0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_axgi_f8/lgb.p',i_0_184) ).

cnf(i_0_167,hypothesis,
    ( aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
    | ~ aElementOf0(X1,szNzAzT0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_axgi_f8/lgb.p',i_0_167) ).

cnf(i_0_7,plain,
    ( aSet0(X1)
    | X1 != slcrc0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_axgi_f8/lgb.p',i_0_7) ).

cnf(i_0_201,hypothesis,
    sdtlpdtrp0(xe,xi) = xx,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_axgi_f8/lgb.p',i_0_201) ).

cnf(i_0_202,hypothesis,
    aElementOf0(xi,szNzAzT0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_axgi_f8/lgb.p',i_0_202) ).

cnf(i_0_204,negated_conjecture,
    ~ aElementOf0(xx,xS),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_axgi_f8/lgb.p',i_0_204) ).

cnf(i_0_11,plain,
    ( X1 != slcrc0
    | ~ aSet0(X1)
    | ~ isCountable0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_axgi_f8/lgb.p',i_0_11) ).

cnf(i_0_166,hypothesis,
    ( isCountable0(sdtlpdtrp0(xN,X1))
    | ~ aElementOf0(X1,szNzAzT0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_axgi_f8/lgb.p',i_0_166) ).

cnf(c_0_219,plain,
    ( aSet0(X1)
    | ~ aSet0(X2)
    | ~ aSubsetOf0(X1,X2) ),
    i_0_15 ).

cnf(c_0_220,hypothesis,
    aSubsetOf0(xS,szNzAzT0),
    i_0_149 ).

cnf(c_0_221,plain,
    aSet0(szNzAzT0),
    i_0_45 ).

cnf(c_0_222,plain,
    ( X1 = slcrc0
    | aElementOf0(X2,X1)
    | X2 != szmzizndt0(X1)
    | ~ aSubsetOf0(X1,szNzAzT0) ),
    i_0_78 ).

cnf(c_0_223,plain,
    ( aElementOf0(X1,X2)
    | ~ aSet0(X2)
    | ~ aElementOf0(X1,X3)
    | ~ aSubsetOf0(X3,X2) ),
    i_0_14 ).

cnf(c_0_224,hypothesis,
    aSubsetOf0(sdtlpdtrp0(xN,xi),xS),
    i_0_203 ).

cnf(c_0_225,hypothesis,
    aSet0(xS),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_219,c_0_220]),c_0_221])]) ).

cnf(c_0_226,plain,
    ( X1 = slcrc0
    | aElementOf0(szmzizndt0(X1),X1)
    | ~ aSubsetOf0(X1,szNzAzT0) ),
    inference(er,[status(thm)],[c_0_222]) ).

cnf(c_0_227,hypothesis,
    ( szmzizndt0(sdtlpdtrp0(xN,X1)) = sdtlpdtrp0(xe,X1)
    | ~ aElementOf0(X1,szNzAzT0) ),
    i_0_184 ).

cnf(c_0_228,hypothesis,
    ( aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
    | ~ aElementOf0(X1,szNzAzT0) ),
    i_0_167 ).

cnf(c_0_229,plain,
    ( aSet0(X1)
    | X1 != slcrc0 ),
    i_0_7 ).

cnf(c_0_230,hypothesis,
    ( aElementOf0(X1,xS)
    | ~ aElementOf0(X1,sdtlpdtrp0(xN,xi)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_223,c_0_224]),c_0_225])]) ).

cnf(c_0_231,hypothesis,
    ( sdtlpdtrp0(xN,X1) = slcrc0
    | aElementOf0(sdtlpdtrp0(xe,X1),sdtlpdtrp0(xN,X1))
    | ~ aElementOf0(X1,szNzAzT0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_226,c_0_227]),c_0_228]) ).

cnf(c_0_232,hypothesis,
    sdtlpdtrp0(xe,xi) = xx,
    i_0_201 ).

cnf(c_0_233,hypothesis,
    aElementOf0(xi,szNzAzT0),
    i_0_202 ).

cnf(c_0_234,negated_conjecture,
    ~ aElementOf0(xx,xS),
    i_0_204 ).

cnf(c_0_235,plain,
    ( X1 != slcrc0
    | ~ aSet0(X1)
    | ~ isCountable0(X1) ),
    i_0_11 ).

cnf(c_0_236,plain,
    aSet0(slcrc0),
    inference(er,[status(thm)],[c_0_229]) ).

cnf(c_0_237,hypothesis,
    ( isCountable0(sdtlpdtrp0(xN,X1))
    | ~ aElementOf0(X1,szNzAzT0) ),
    i_0_166 ).

cnf(c_0_238,hypothesis,
    sdtlpdtrp0(xN,xi) = slcrc0,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_230,c_0_231]),c_0_232]),c_0_233])]),c_0_234]) ).

cnf(c_0_239,plain,
    ~ isCountable0(slcrc0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_235]),c_0_236])]) ).

cnf(c_0_240,hypothesis,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_237,c_0_238]),c_0_233])]),c_0_239]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : NUM604+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.34  % Computer : n003.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Thu Jul  7 09:42:14 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.45  # ENIGMATIC: Selected complete mode:
% 8.85/2.38  # ENIGMATIC: Solved by autoschedule-lgb:
% 8.85/2.38  # No SInE strategy applied
% 8.85/2.38  # Trying AutoSched0 for 150 seconds
% 8.85/2.38  # AutoSched0-Mode selected heuristic G_E___207_C01_F1_SE_CS_SP_PI_S0Y
% 8.85/2.38  # and selection function SelectMaxLComplexAvoidPosPred.
% 8.85/2.38  #
% 8.85/2.38  # Preprocessing time       : 0.024 s
% 8.85/2.38  
% 8.85/2.38  # Proof found!
% 8.85/2.38  # SZS status Theorem
% 8.85/2.38  # SZS output start CNFRefutation
% See solution above
% 8.85/2.38  # Training examples: 0 positive, 0 negative
% 8.85/2.38  
% 8.85/2.38  # -------------------------------------------------
% 8.85/2.38  # User time                : 0.085 s
% 8.85/2.38  # System time              : 0.011 s
% 8.85/2.38  # Total time               : 0.096 s
% 8.85/2.38  # Maximum resident set size: 7128 pages
% 8.85/2.38  
%------------------------------------------------------------------------------