TSTP Solution File: NUM504+3 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : NUM504+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n014.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 08:36:44 EDT 2022

% Result   : Theorem 4.53s 2.19s
% Output   : CNFRefutation 4.53s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   12
% Syntax   : Number of clauses     :   31 (  25 unt;   0 nHn;  31 RR)
%            Number of literals    :   47 (  12 equ;  19 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   7 con; 0-2 aty)
%            Number of variables   :   12 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_237,hypothesis,
    sdtasdt0(xr,esk14_0) = sdtasdt0(xn,xm),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gw9qx_pp/lgb.p',i_0_237) ).

cnf(i_0_221,hypothesis,
    sdtasdt0(xp,xk) = sdtasdt0(xn,xm),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gw9qx_pp/lgb.p',i_0_221) ).

cnf(i_0_249,hypothesis,
    sdtpldt0(sdtasdt0(xn,xm),esk16_0) = sdtasdt0(xp,xm),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gw9qx_pp/lgb.p',i_0_249) ).

cnf(i_0_6,plain,
    ( aNaturalNumber0(sdtasdt0(X1,X2))
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gw9qx_pp/lgb.p',i_0_6) ).

cnf(i_0_238,hypothesis,
    aNaturalNumber0(esk14_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gw9qx_pp/lgb.p',i_0_238) ).

cnf(i_0_235,hypothesis,
    aNaturalNumber0(xr),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gw9qx_pp/lgb.p',i_0_235) ).

cnf(i_0_5,plain,
    ( aNaturalNumber0(sdtpldt0(X1,X2))
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gw9qx_pp/lgb.p',i_0_5) ).

cnf(i_0_250,hypothesis,
    aNaturalNumber0(esk16_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gw9qx_pp/lgb.p',i_0_250) ).

cnf(i_0_248,hypothesis,
    sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gw9qx_pp/lgb.p',i_0_248) ).

cnf(i_0_33,plain,
    ( X1 = X2
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1)
    | ~ sdtlseqdt0(X2,X1)
    | ~ sdtlseqdt0(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gw9qx_pp/lgb.p',i_0_33) ).

cnf(i_0_244,hypothesis,
    sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xk)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gw9qx_pp/lgb.p',i_0_244) ).

cnf(i_0_247,hypothesis,
    sdtasdt0(xp,xk) != sdtasdt0(xp,xm),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-gw9qx_pp/lgb.p',i_0_247) ).

cnf(c_0_263,hypothesis,
    sdtasdt0(xr,esk14_0) = sdtasdt0(xn,xm),
    i_0_237 ).

cnf(c_0_264,hypothesis,
    sdtasdt0(xp,xk) = sdtasdt0(xn,xm),
    i_0_221 ).

cnf(c_0_265,hypothesis,
    sdtpldt0(sdtasdt0(xn,xm),esk16_0) = sdtasdt0(xp,xm),
    i_0_249 ).

cnf(c_0_266,plain,
    ( aNaturalNumber0(sdtasdt0(X1,X2))
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1) ),
    i_0_6 ).

cnf(c_0_267,hypothesis,
    sdtasdt0(xr,esk14_0) = sdtasdt0(xp,xk),
    inference(rw,[status(thm)],[c_0_263,c_0_264]) ).

cnf(c_0_268,hypothesis,
    aNaturalNumber0(esk14_0),
    i_0_238 ).

cnf(c_0_269,hypothesis,
    aNaturalNumber0(xr),
    i_0_235 ).

cnf(c_0_270,plain,
    ( aNaturalNumber0(sdtpldt0(X1,X2))
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1) ),
    i_0_5 ).

cnf(c_0_271,hypothesis,
    sdtpldt0(sdtasdt0(xp,xk),esk16_0) = sdtasdt0(xp,xm),
    inference(rw,[status(thm)],[c_0_265,c_0_264]) ).

cnf(c_0_272,hypothesis,
    aNaturalNumber0(esk16_0),
    i_0_250 ).

cnf(c_0_273,hypothesis,
    aNaturalNumber0(sdtasdt0(xp,xk)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_266,c_0_267]),c_0_268]),c_0_269])]) ).

cnf(c_0_274,hypothesis,
    sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm)),
    i_0_248 ).

cnf(c_0_275,plain,
    ( X1 = X2
    | ~ aNaturalNumber0(X2)
    | ~ aNaturalNumber0(X1)
    | ~ sdtlseqdt0(X2,X1)
    | ~ sdtlseqdt0(X1,X2) ),
    i_0_33 ).

cnf(c_0_276,hypothesis,
    sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xk)),
    i_0_244 ).

cnf(c_0_277,plain,
    aNaturalNumber0(sdtasdt0(xp,xm)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_270,c_0_271]),c_0_272]),c_0_273])]) ).

cnf(c_0_278,hypothesis,
    sdtasdt0(xp,xk) != sdtasdt0(xp,xm),
    i_0_247 ).

cnf(c_0_279,hypothesis,
    sdtlseqdt0(sdtasdt0(xp,xk),sdtasdt0(xp,xm)),
    inference(rw,[status(thm)],[c_0_274,c_0_264]) ).

cnf(c_0_280,plain,
    ~ sdtlseqdt0(sdtasdt0(xp,xk),sdtasdt0(xp,xm)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_275,c_0_276]),c_0_277]),c_0_273])]),c_0_278]) ).

cnf(c_0_281,hypothesis,
    $false,
    inference(sr,[status(thm)],[c_0_279,c_0_280]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : NUM504+3 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n014.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 06:13:40 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.17/0.44  # ENIGMATIC: Selected complete mode:
% 4.53/2.19  # ENIGMATIC: Solved by autoschedule-lgb:
% 4.53/2.19  # No SInE strategy applied
% 4.53/2.19  # Trying AutoSched0 for 150 seconds
% 4.53/2.19  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S068N
% 4.53/2.19  # and selection function PSelectNewComplexAHP.
% 4.53/2.19  #
% 4.53/2.19  # Preprocessing time       : 0.020 s
% 4.53/2.19  # Presaturation interreduction done
% 4.53/2.19  
% 4.53/2.19  # Proof found!
% 4.53/2.19  # SZS status Theorem
% 4.53/2.19  # SZS output start CNFRefutation
% See solution above
% 4.53/2.19  # Training examples: 0 positive, 0 negative
% 4.53/2.19  
% 4.53/2.19  # -------------------------------------------------
% 4.53/2.19  # User time                : 0.022 s
% 4.53/2.19  # System time              : 0.009 s
% 4.53/2.19  # Total time               : 0.031 s
% 4.53/2.19  # Maximum resident set size: 7124 pages
% 4.53/2.19  
%------------------------------------------------------------------------------