TSTP Solution File: RNG099+2 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : RNG099+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n021.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 20:24:59 EDT 2022

% Result   : Theorem 7.22s 2.20s
% Output   : CNFRefutation 7.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   13
% Syntax   : Number of clauses     :   32 (  23 unt;   0 nHn;  32 RR)
%            Number of literals    :   49 (   2 equ;  22 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   7 con; 0-2 aty)
%            Number of variables   :   14 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_82,negated_conjecture,
    ( ~ aElement0(X1)
    | ~ aElementOf0(sdtpldt0(X1,smndt0(xx)),xI)
    | ~ aElementOf0(sdtpldt0(X1,smndt0(xy)),xJ) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zeohvye9/lgb.p',i_0_82) ).

cnf(i_0_77,hypothesis,
    aElementOf0(sdtpldt0(xw,smndt0(xx)),xI),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zeohvye9/lgb.p',i_0_77) ).

cnf(i_0_78,hypothesis,
    aElementOf0(sdtpldt0(xw,smndt0(xy)),xJ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zeohvye9/lgb.p',i_0_78) ).

cnf(i_0_5,plain,
    ( aElement0(sdtpldt0(X1,X2))
    | ~ aElement0(X2)
    | ~ aElement0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zeohvye9/lgb.p',i_0_5) ).

cnf(i_0_76,hypothesis,
    sdtpldt0(sdtasdt0(xy,xa),sdtasdt0(xx,xb)) = xw,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zeohvye9/lgb.p',i_0_76) ).

cnf(i_0_26,plain,
    ( aElement0(X1)
    | ~ aSet0(X2)
    | ~ aElementOf0(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zeohvye9/lgb.p',i_0_26) ).

cnf(i_0_74,hypothesis,
    aElementOf0(xb,xJ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zeohvye9/lgb.p',i_0_74) ).

cnf(i_0_62,hypothesis,
    aSet0(xJ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zeohvye9/lgb.p',i_0_62) ).

cnf(i_0_6,plain,
    ( aElement0(sdtasdt0(X1,X2))
    | ~ aElement0(X2)
    | ~ aElement0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zeohvye9/lgb.p',i_0_6) ).

cnf(i_0_72,hypothesis,
    aElement0(xx),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zeohvye9/lgb.p',i_0_72) ).

cnf(i_0_75,hypothesis,
    aElementOf0(xa,xI),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zeohvye9/lgb.p',i_0_75) ).

cnf(i_0_66,hypothesis,
    aSet0(xI),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zeohvye9/lgb.p',i_0_66) ).

cnf(i_0_71,hypothesis,
    aElement0(xy),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zeohvye9/lgb.p',i_0_71) ).

cnf(c_0_96,negated_conjecture,
    ( ~ aElement0(X1)
    | ~ aElementOf0(sdtpldt0(X1,smndt0(xx)),xI)
    | ~ aElementOf0(sdtpldt0(X1,smndt0(xy)),xJ) ),
    i_0_82 ).

cnf(c_0_97,hypothesis,
    aElementOf0(sdtpldt0(xw,smndt0(xx)),xI),
    i_0_77 ).

cnf(c_0_98,hypothesis,
    aElementOf0(sdtpldt0(xw,smndt0(xy)),xJ),
    i_0_78 ).

cnf(c_0_99,plain,
    ( aElement0(sdtpldt0(X1,X2))
    | ~ aElement0(X2)
    | ~ aElement0(X1) ),
    i_0_5 ).

cnf(c_0_100,hypothesis,
    sdtpldt0(sdtasdt0(xy,xa),sdtasdt0(xx,xb)) = xw,
    i_0_76 ).

cnf(c_0_101,hypothesis,
    ~ aElement0(xw),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_97]),c_0_98])]) ).

cnf(c_0_102,plain,
    ( aElement0(X1)
    | ~ aSet0(X2)
    | ~ aElementOf0(X1,X2) ),
    i_0_26 ).

cnf(c_0_103,hypothesis,
    aElementOf0(xb,xJ),
    i_0_74 ).

cnf(c_0_104,hypothesis,
    aSet0(xJ),
    i_0_62 ).

cnf(c_0_105,hypothesis,
    ( ~ aElement0(sdtasdt0(xx,xb))
    | ~ aElement0(sdtasdt0(xy,xa)) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_100]),c_0_101]) ).

cnf(c_0_106,plain,
    ( aElement0(sdtasdt0(X1,X2))
    | ~ aElement0(X2)
    | ~ aElement0(X1) ),
    i_0_6 ).

cnf(c_0_107,hypothesis,
    aElement0(xb),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_103]),c_0_104])]) ).

cnf(c_0_108,hypothesis,
    aElement0(xx),
    i_0_72 ).

cnf(c_0_109,hypothesis,
    aElementOf0(xa,xI),
    i_0_75 ).

cnf(c_0_110,hypothesis,
    aSet0(xI),
    i_0_66 ).

cnf(c_0_111,plain,
    ~ aElement0(sdtasdt0(xy,xa)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_106]),c_0_107]),c_0_108])]) ).

cnf(c_0_112,hypothesis,
    aElement0(xa),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_109]),c_0_110])]) ).

cnf(c_0_113,hypothesis,
    aElement0(xy),
    i_0_71 ).

cnf(c_0_114,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_106]),c_0_112]),c_0_113])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : RNG099+2 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.14/0.33  % Computer : n021.cluster.edu
% 0.14/0.33  % Model    : x86_64 x86_64
% 0.14/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33  % Memory   : 8042.1875MB
% 0.14/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Mon May 30 18:12:31 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.20/0.45  # ENIGMATIC: Selected complete mode:
% 7.22/2.20  # ENIGMATIC: Solved by autoschedule-lgb:
% 7.22/2.20  # No SInE strategy applied
% 7.22/2.20  # Trying AutoSched0 for 150 seconds
% 7.22/2.20  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI
% 7.22/2.20  # and selection function SelectCQArNTNpEqFirst.
% 7.22/2.20  #
% 7.22/2.20  # Preprocessing time       : 0.024 s
% 7.22/2.20  # Presaturation interreduction done
% 7.22/2.20  
% 7.22/2.20  # Proof found!
% 7.22/2.20  # SZS status Theorem
% 7.22/2.20  # SZS output start CNFRefutation
% See solution above
% 7.22/2.20  # Training examples: 0 positive, 0 negative
% 7.22/2.20  
% 7.22/2.20  # -------------------------------------------------
% 7.22/2.20  # User time                : 0.049 s
% 7.22/2.20  # System time              : 0.005 s
% 7.22/2.20  # Total time               : 0.054 s
% 7.22/2.20  # Maximum resident set size: 7124 pages
% 7.22/2.20  
%------------------------------------------------------------------------------