TSTP Solution File: NUM623+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : NUM623+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n026.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 08:38:01 EDT 2022

% Result   : Theorem 8.11s 2.36s
% Output   : CNFRefutation 8.11s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   13
% Syntax   : Number of clauses     :   34 (  22 unt;   3 nHn;  34 RR)
%            Number of literals    :   61 (  21 equ;  30 neg)
%            Maximal clause size   :    7 (   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   :   13 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_83,plain,
    ( X1 = slcrc0
    | X2 = slcrc0
    | szmzizndt0(X2) = szmzizndt0(X1)
    | ~ aSubsetOf0(X1,szNzAzT0)
    | ~ aSubsetOf0(X2,szNzAzT0)
    | ~ aElementOf0(szmzizndt0(X1),X2)
    | ~ aElementOf0(szmzizndt0(X2),X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-m45ninhr/lgb.p',i_0_83) ).

cnf(i_0_204,hypothesis,
    aSubsetOf0(xQ,szNzAzT0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-m45ninhr/lgb.p',i_0_204) ).

cnf(i_0_206,hypothesis,
    szmzizndt0(xQ) = xp,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-m45ninhr/lgb.p',i_0_206) ).

cnf(i_0_202,hypothesis,
    slcrc0 != xQ,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-m45ninhr/lgb.p',i_0_202) ).

cnf(i_0_167,hypothesis,
    ( aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
    | ~ aElementOf0(X1,szNzAzT0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-m45ninhr/lgb.p',i_0_167) ).

cnf(i_0_223,hypothesis,
    aElementOf0(xm,szNzAzT0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-m45ninhr/lgb.p',i_0_223) ).

cnf(i_0_11,plain,
    ( X1 != slcrc0
    | ~ aSet0(X1)
    | ~ isCountable0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-m45ninhr/lgb.p',i_0_11) ).

cnf(i_0_7,plain,
    ( aSet0(X1)
    | X1 != slcrc0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-m45ninhr/lgb.p',i_0_7) ).

cnf(i_0_166,hypothesis,
    ( isCountable0(sdtlpdtrp0(xN,X1))
    | ~ aElementOf0(X1,szNzAzT0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-m45ninhr/lgb.p',i_0_166) ).

cnf(i_0_228,hypothesis,
    aElementOf0(xp,sdtlpdtrp0(xN,xm)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-m45ninhr/lgb.p',i_0_228) ).

cnf(i_0_224,hypothesis,
    szmzizndt0(sdtlpdtrp0(xN,xm)) = xx,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-m45ninhr/lgb.p',i_0_224) ).

cnf(i_0_227,hypothesis,
    aElementOf0(xx,xQ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-m45ninhr/lgb.p',i_0_227) ).

cnf(i_0_229,negated_conjecture,
    xp != xx,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-m45ninhr/lgb.p',i_0_229) ).

cnf(c_0_243,plain,
    ( X1 = slcrc0
    | X2 = slcrc0
    | szmzizndt0(X2) = szmzizndt0(X1)
    | ~ aSubsetOf0(X1,szNzAzT0)
    | ~ aSubsetOf0(X2,szNzAzT0)
    | ~ aElementOf0(szmzizndt0(X1),X2)
    | ~ aElementOf0(szmzizndt0(X2),X1) ),
    i_0_83 ).

cnf(c_0_244,hypothesis,
    aSubsetOf0(xQ,szNzAzT0),
    i_0_204 ).

cnf(c_0_245,hypothesis,
    szmzizndt0(xQ) = xp,
    i_0_206 ).

cnf(c_0_246,hypothesis,
    slcrc0 != xQ,
    i_0_202 ).

cnf(c_0_247,hypothesis,
    ( aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
    | ~ aElementOf0(X1,szNzAzT0) ),
    i_0_167 ).

cnf(c_0_248,hypothesis,
    aElementOf0(xm,szNzAzT0),
    i_0_223 ).

cnf(c_0_249,plain,
    ( X1 != slcrc0
    | ~ aSet0(X1)
    | ~ isCountable0(X1) ),
    i_0_11 ).

cnf(c_0_250,plain,
    ( aSet0(X1)
    | X1 != slcrc0 ),
    i_0_7 ).

cnf(c_0_251,hypothesis,
    ( isCountable0(sdtlpdtrp0(xN,X1))
    | ~ aElementOf0(X1,szNzAzT0) ),
    i_0_166 ).

cnf(c_0_252,hypothesis,
    ( szmzizndt0(X1) = xp
    | X1 = slcrc0
    | ~ aElementOf0(szmzizndt0(X1),xQ)
    | ~ aElementOf0(xp,X1)
    | ~ aSubsetOf0(X1,szNzAzT0) ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_243,c_0_244]),c_0_245]),c_0_245]),c_0_246]) ).

cnf(c_0_253,hypothesis,
    aElementOf0(xp,sdtlpdtrp0(xN,xm)),
    i_0_228 ).

cnf(c_0_254,hypothesis,
    szmzizndt0(sdtlpdtrp0(xN,xm)) = xx,
    i_0_224 ).

cnf(c_0_255,hypothesis,
    aElementOf0(xx,xQ),
    i_0_227 ).

cnf(c_0_256,hypothesis,
    aSubsetOf0(sdtlpdtrp0(xN,xm),szNzAzT0),
    inference(spm,[status(thm)],[c_0_247,c_0_248]) ).

cnf(c_0_257,negated_conjecture,
    xp != xx,
    i_0_229 ).

cnf(c_0_258,plain,
    ( ~ isCountable0(slcrc0)
    | ~ aSet0(slcrc0) ),
    inference(er,[status(thm)],[c_0_249]) ).

cnf(c_0_259,plain,
    aSet0(slcrc0),
    inference(er,[status(thm)],[c_0_250]) ).

cnf(c_0_260,hypothesis,
    isCountable0(sdtlpdtrp0(xN,xm)),
    inference(spm,[status(thm)],[c_0_251,c_0_248]) ).

cnf(c_0_261,hypothesis,
    sdtlpdtrp0(xN,xm) = slcrc0,
    inference(sr,[status(thm)],[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_252,c_0_253]),c_0_254]),c_0_254]),c_0_255]),c_0_256])]),c_0_257]) ).

cnf(c_0_262,plain,
    ~ isCountable0(slcrc0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_258,c_0_259])]) ).

cnf(c_0_263,hypothesis,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_260,c_0_261]),c_0_262]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : NUM623+1 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.33  % Computer : n026.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Fri Jul  8 02:05:41 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.19/0.44  # ENIGMATIC: Selected complete mode:
% 8.11/2.36  # ENIGMATIC: Solved by autoschedule-lgb:
% 8.11/2.36  # No SInE strategy applied
% 8.11/2.36  # Trying AutoSched0 for 150 seconds
% 8.11/2.36  # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S2S
% 8.11/2.36  # and selection function SelectNewComplexAHP.
% 8.11/2.36  #
% 8.11/2.36  # Preprocessing time       : 0.018 s
% 8.11/2.36  # Presaturation interreduction done
% 8.11/2.36  
% 8.11/2.36  # Proof found!
% 8.11/2.36  # SZS status Theorem
% 8.11/2.36  # SZS output start CNFRefutation
% See solution above
% 8.11/2.36  # Training examples: 0 positive, 0 negative
% 8.11/2.36  
% 8.11/2.36  # -------------------------------------------------
% 8.11/2.36  # User time                : 0.072 s
% 8.11/2.36  # System time              : 0.013 s
% 8.11/2.36  # Total time               : 0.085 s
% 8.11/2.36  # Maximum resident set size: 7124 pages
% 8.11/2.36  
%------------------------------------------------------------------------------