TSTP Solution File: NUM624+3 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : NUM624+3 : 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 08:38:02 EDT 2022

% Result   : Theorem 8.69s 3.36s
% Output   : CNFRefutation 8.69s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   14
% Syntax   : Number of clauses     :   36 (  23 unt;   3 nHn;  36 RR)
%            Number of literals    :   64 (  24 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    :   10 (  10 usr;   8 con; 0-2 aty)
%            Number of variables   :   15 (   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/sandbox/tmp/enigma-theBenchmark.p-ggu3jwyc/lgb.p',i_0_83) ).

cnf(i_0_4255,hypothesis,
    aSubsetOf0(xQ,szNzAzT0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ggu3jwyc/lgb.p',i_0_4255) ).

cnf(i_0_4262,hypothesis,
    szmzizndt0(xQ) = xp,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ggu3jwyc/lgb.p',i_0_4262) ).

cnf(i_0_4252,hypothesis,
    slcrc0 != xQ,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ggu3jwyc/lgb.p',i_0_4252) ).

cnf(i_0_4177,hypothesis,
    ( aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
    | ~ aElementOf0(X1,szNzAzT0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ggu3jwyc/lgb.p',i_0_4177) ).

cnf(i_0_4295,hypothesis,
    aElementOf0(xm,szNzAzT0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ggu3jwyc/lgb.p',i_0_4295) ).

cnf(i_0_4204,hypothesis,
    ( szmzizndt0(sdtlpdtrp0(xN,X1)) = sdtlpdtrp0(xe,X1)
    | ~ aElementOf0(X1,szNzAzT0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ggu3jwyc/lgb.p',i_0_4204) ).

cnf(i_0_4294,hypothesis,
    sdtlpdtrp0(xe,xm) = xx,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ggu3jwyc/lgb.p',i_0_4294) ).

cnf(i_0_7,plain,
    ( aSet0(X1)
    | X1 != slcrc0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ggu3jwyc/lgb.p',i_0_7) ).

cnf(i_0_4176,hypothesis,
    ( isCountable0(sdtlpdtrp0(xN,X1))
    | ~ aElementOf0(X1,szNzAzT0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ggu3jwyc/lgb.p',i_0_4176) ).

cnf(i_0_4302,hypothesis,
    aElementOf0(xx,xQ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ggu3jwyc/lgb.p',i_0_4302) ).

cnf(i_0_4303,hypothesis,
    aElementOf0(xp,sdtlpdtrp0(xN,xm)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ggu3jwyc/lgb.p',i_0_4303) ).

cnf(i_0_4308,negated_conjecture,
    xp != xx,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ggu3jwyc/lgb.p',i_0_4308) ).

cnf(i_0_11,plain,
    ( X1 != slcrc0
    | ~ aSet0(X1)
    | ~ isCountable0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ggu3jwyc/lgb.p',i_0_11) ).

cnf(c_0_4323,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_4324,hypothesis,
    aSubsetOf0(xQ,szNzAzT0),
    i_0_4255 ).

cnf(c_0_4325,hypothesis,
    szmzizndt0(xQ) = xp,
    i_0_4262 ).

cnf(c_0_4326,hypothesis,
    slcrc0 != xQ,
    i_0_4252 ).

cnf(c_0_4327,hypothesis,
    ( aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
    | ~ aElementOf0(X1,szNzAzT0) ),
    i_0_4177 ).

cnf(c_0_4328,hypothesis,
    aElementOf0(xm,szNzAzT0),
    i_0_4295 ).

cnf(c_0_4329,hypothesis,
    ( szmzizndt0(sdtlpdtrp0(xN,X1)) = sdtlpdtrp0(xe,X1)
    | ~ aElementOf0(X1,szNzAzT0) ),
    i_0_4204 ).

cnf(c_0_4330,hypothesis,
    sdtlpdtrp0(xe,xm) = xx,
    i_0_4294 ).

cnf(c_0_4331,plain,
    ( aSet0(X1)
    | X1 != slcrc0 ),
    i_0_7 ).

cnf(c_0_4332,hypothesis,
    ( isCountable0(sdtlpdtrp0(xN,X1))
    | ~ aElementOf0(X1,szNzAzT0) ),
    i_0_4176 ).

cnf(c_0_4333,hypothesis,
    ( szmzizndt0(X1) = xp
    | X1 = slcrc0
    | ~ aSubsetOf0(X1,szNzAzT0)
    | ~ aElementOf0(szmzizndt0(X1),xQ)
    | ~ aElementOf0(xp,X1) ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4323,c_0_4324]),c_0_4325]),c_0_4325]),c_0_4326]) ).

cnf(c_0_4334,hypothesis,
    aSubsetOf0(sdtlpdtrp0(xN,xm),szNzAzT0),
    inference(spm,[status(thm)],[c_0_4327,c_0_4328]) ).

cnf(c_0_4335,hypothesis,
    szmzizndt0(sdtlpdtrp0(xN,xm)) = xx,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4329,c_0_4328]),c_0_4330]) ).

cnf(c_0_4336,hypothesis,
    aElementOf0(xx,xQ),
    i_0_4302 ).

cnf(c_0_4337,hypothesis,
    aElementOf0(xp,sdtlpdtrp0(xN,xm)),
    i_0_4303 ).

cnf(c_0_4338,negated_conjecture,
    xp != xx,
    i_0_4308 ).

cnf(c_0_4339,plain,
    ( X1 != slcrc0
    | ~ aSet0(X1)
    | ~ isCountable0(X1) ),
    i_0_11 ).

cnf(c_0_4340,plain,
    aSet0(slcrc0),
    inference(er,[status(thm)],[c_0_4331]) ).

cnf(c_0_4341,hypothesis,
    isCountable0(sdtlpdtrp0(xN,xm)),
    inference(spm,[status(thm)],[c_0_4332,c_0_4328]) ).

cnf(c_0_4342,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_4333,c_0_4334]),c_0_4335]),c_0_4335]),c_0_4336]),c_0_4337])]),c_0_4338]) ).

cnf(c_0_4343,plain,
    ~ isCountable0(slcrc0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_4339]),c_0_4340])]) ).

cnf(c_0_4344,hypothesis,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_4341,c_0_4342]),c_0_4343]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : NUM624+3 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n026.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Tue Jul  5 19:30:24 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  # ENIGMATIC: Selected complete mode:
% 8.69/3.36  # ENIGMATIC: Solved by autoschedule-lgb:
% 8.69/3.36  # No SInE strategy applied
% 8.69/3.36  # Trying AutoSched0 for 150 seconds
% 8.69/3.36  # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 8.69/3.36  # and selection function SelectNewComplexAHP.
% 8.69/3.36  #
% 8.69/3.36  # Preprocessing time       : 0.016 s
% 8.69/3.36  # Presaturation interreduction done
% 8.69/3.36  
% 8.69/3.36  # Proof found!
% 8.69/3.36  # SZS status Theorem
% 8.69/3.36  # SZS output start CNFRefutation
% See solution above
% 8.69/3.36  # Training examples: 0 positive, 0 negative
% 8.69/3.36  
% 8.69/3.36  # -------------------------------------------------
% 8.69/3.36  # User time                : 0.086 s
% 8.69/3.36  # System time              : 0.007 s
% 8.69/3.36  # Total time               : 0.093 s
% 8.69/3.36  # Maximum resident set size: 7124 pages
% 8.69/3.36  
%------------------------------------------------------------------------------