TSTP Solution File: RNG108+4 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : RNG108+4 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n027.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 20:25:01 EDT 2022

% Result   : Theorem 8.62s 2.46s
% Output   : CNFRefutation 8.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   27 (  13 unt;   0 nHn;  27 RR)
%            Number of literals    :   50 (   8 equ;  28 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :   14 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_143,hypothesis,
    ( aElementOf0(X1,slsdtgt0(xa))
    | sdtasdt0(xa,X2) != X1
    | ~ aElement0(X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-w6jslg8o/lgb.p',i_0_143) ).

cnf(i_0_22,plain,
    ( sdtasdt0(X1,sz00) = sz00
    | ~ aElement0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-w6jslg8o/lgb.p',i_0_22) ).

cnf(i_0_2,plain,
    aElement0(sz00),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-w6jslg8o/lgb.p',i_0_2) ).

cnf(i_0_95,hypothesis,
    aElement0(xa),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-w6jslg8o/lgb.p',i_0_95) ).

cnf(i_0_140,hypothesis,
    ( aElementOf0(X1,slsdtgt0(xb))
    | sdtasdt0(xb,X2) != X1
    | ~ aElement0(X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-w6jslg8o/lgb.p',i_0_140) ).

cnf(i_0_150,negated_conjecture,
    ( ~ aElementOf0(sz00,slsdtgt0(xa))
    | ~ aElementOf0(sz00,slsdtgt0(xb))
    | ~ aElementOf0(xa,slsdtgt0(xa))
    | ~ aElementOf0(xb,slsdtgt0(xb)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-w6jslg8o/lgb.p',i_0_150) ).

cnf(i_0_94,hypothesis,
    aElement0(xb),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-w6jslg8o/lgb.p',i_0_94) ).

cnf(i_0_16,plain,
    ( sdtasdt0(X1,sz10) = X1
    | ~ aElement0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-w6jslg8o/lgb.p',i_0_16) ).

cnf(i_0_3,plain,
    aElement0(sz10),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-w6jslg8o/lgb.p',i_0_3) ).

cnf(c_0_160,hypothesis,
    ( aElementOf0(X1,slsdtgt0(xa))
    | sdtasdt0(xa,X2) != X1
    | ~ aElement0(X2) ),
    i_0_143 ).

cnf(c_0_161,hypothesis,
    ( aElementOf0(sdtasdt0(xa,X1),slsdtgt0(xa))
    | ~ aElement0(X1) ),
    inference(er,[status(thm)],[c_0_160]) ).

cnf(c_0_162,plain,
    ( sdtasdt0(X1,sz00) = sz00
    | ~ aElement0(X1) ),
    i_0_22 ).

cnf(c_0_163,plain,
    aElement0(sz00),
    i_0_2 ).

cnf(c_0_164,hypothesis,
    aElement0(xa),
    i_0_95 ).

cnf(c_0_165,hypothesis,
    ( aElementOf0(X1,slsdtgt0(xb))
    | sdtasdt0(xb,X2) != X1
    | ~ aElement0(X2) ),
    i_0_140 ).

cnf(c_0_166,negated_conjecture,
    ( ~ aElementOf0(sz00,slsdtgt0(xa))
    | ~ aElementOf0(sz00,slsdtgt0(xb))
    | ~ aElementOf0(xa,slsdtgt0(xa))
    | ~ aElementOf0(xb,slsdtgt0(xb)) ),
    i_0_150 ).

cnf(c_0_167,plain,
    aElementOf0(sz00,slsdtgt0(xa)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_162]),c_0_163]),c_0_164])]) ).

cnf(c_0_168,hypothesis,
    ( aElementOf0(sdtasdt0(xb,X1),slsdtgt0(xb))
    | ~ aElement0(X1) ),
    inference(er,[status(thm)],[c_0_165]) ).

cnf(c_0_169,hypothesis,
    aElement0(xb),
    i_0_94 ).

cnf(c_0_170,negated_conjecture,
    ( ~ aElementOf0(sz00,slsdtgt0(xb))
    | ~ aElementOf0(xa,slsdtgt0(xa))
    | ~ aElementOf0(xb,slsdtgt0(xb)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_166,c_0_167])]) ).

cnf(c_0_171,plain,
    aElementOf0(sz00,slsdtgt0(xb)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_162]),c_0_163]),c_0_169])]) ).

cnf(c_0_172,plain,
    ( sdtasdt0(X1,sz10) = X1
    | ~ aElement0(X1) ),
    i_0_16 ).

cnf(c_0_173,plain,
    aElement0(sz10),
    i_0_3 ).

cnf(c_0_174,negated_conjecture,
    ( ~ aElementOf0(xa,slsdtgt0(xa))
    | ~ aElementOf0(xb,slsdtgt0(xb)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_170,c_0_171])]) ).

cnf(c_0_175,hypothesis,
    aElementOf0(xb,slsdtgt0(xb)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_172]),c_0_173]),c_0_169])]) ).

cnf(c_0_176,negated_conjecture,
    ~ aElementOf0(xa,slsdtgt0(xa)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_174,c_0_175])]) ).

cnf(c_0_177,hypothesis,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_172]),c_0_173]),c_0_164])]),c_0_176]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : RNG108+4 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n027.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 : Mon May 30 07:56:48 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.45  # ENIGMATIC: Selected complete mode:
% 8.62/2.46  # ENIGMATIC: Solved by autoschedule-lgb:
% 8.62/2.46  # No SInE strategy applied
% 8.62/2.46  # Trying AutoSched0 for 150 seconds
% 8.62/2.46  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 8.62/2.46  # and selection function SelectComplexExceptUniqMaxHorn.
% 8.62/2.46  #
% 8.62/2.46  # Preprocessing time       : 0.025 s
% 8.62/2.46  # Presaturation interreduction done
% 8.62/2.46  
% 8.62/2.46  # Proof found!
% 8.62/2.46  # SZS status Theorem
% 8.62/2.46  # SZS output start CNFRefutation
% See solution above
% 8.62/2.46  # Training examples: 0 positive, 0 negative
% 8.62/2.46  
% 8.62/2.46  # -------------------------------------------------
% 8.62/2.46  # User time                : 0.031 s
% 8.62/2.46  # System time              : 0.004 s
% 8.62/2.46  # Total time               : 0.035 s
% 8.62/2.46  # Maximum resident set size: 7124 pages
% 8.62/2.46  
%------------------------------------------------------------------------------