%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : RNG088+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n028.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 20:24:57 EDT 2022

% Result   : Theorem 7.38s 2.35s
% Output   : CNFRefutation 7.38s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   21 (  15 unt;   0 nHn;  21 RR)
%            Number of literals    :   31 (   0 equ;  13 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :    8 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_53,plain,
    ( aElementOf0(sdtpldt0(X1,X2),X3)
    | ~ aIdeal0(X3)
    | ~ aElementOf0(X1,X3)
    | ~ aElementOf0(X2,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-218di5xb/input.p',i_0_53) ).

cnf(i_0_64,hypothesis,
    aElementOf0(xn,xJ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-218di5xb/input.p',i_0_64) ).

cnf(i_0_55,hypothesis,
    aIdeal0(xJ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-218di5xb/input.p',i_0_55) ).

cnf(i_0_61,hypothesis,
    aElementOf0(xl,xJ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-218di5xb/input.p',i_0_61) ).

cnf(i_0_65,hypothesis,
    aElementOf0(xm,xI),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-218di5xb/input.p',i_0_65) ).

cnf(i_0_56,hypothesis,
    aIdeal0(xI),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-218di5xb/input.p',i_0_56) ).

cnf(i_0_66,negated_conjecture,
    ( ~ aElementOf0(sdtpldt0(xk,xm),xI)
    | ~ aElementOf0(sdtpldt0(xl,xn),xJ) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-218di5xb/input.p',i_0_66) ).

cnf(i_0_62,hypothesis,
    aElementOf0(xk,xI),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-218di5xb/input.p',i_0_62) ).

cnf(c_0_75,plain,
    ( aElementOf0(sdtpldt0(X1,X2),X3)
    | ~ aIdeal0(X3)
    | ~ aElementOf0(X1,X3)
    | ~ aElementOf0(X2,X3) ),
    i_0_53 ).

cnf(c_0_76,hypothesis,
    aElementOf0(xn,xJ),
    i_0_64 ).

cnf(c_0_77,hypothesis,
    aIdeal0(xJ),
    i_0_55 ).

cnf(c_0_78,hypothesis,
    ( aElementOf0(sdtpldt0(X1,xn),xJ)
    | ~ aElementOf0(X1,xJ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_77])]) ).

cnf(c_0_79,hypothesis,
    aElementOf0(xl,xJ),
    i_0_61 ).

cnf(c_0_80,hypothesis,
    aElementOf0(xm,xI),
    i_0_65 ).

cnf(c_0_81,hypothesis,
    aIdeal0(xI),
    i_0_56 ).

cnf(c_0_82,negated_conjecture,
    ( ~ aElementOf0(sdtpldt0(xk,xm),xI)
    | ~ aElementOf0(sdtpldt0(xl,xn),xJ) ),
    i_0_66 ).

cnf(c_0_83,hypothesis,
    aElementOf0(sdtpldt0(xl,xn),xJ),
    inference(spm,[status(thm)],[c_0_78,c_0_79]) ).

cnf(c_0_84,hypothesis,
    ( aElementOf0(sdtpldt0(X1,xm),xI)
    | ~ aElementOf0(X1,xI) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_80]),c_0_81])]) ).

cnf(c_0_85,hypothesis,
    aElementOf0(xk,xI),
    i_0_62 ).

cnf(c_0_86,negated_conjecture,
    ~ aElementOf0(sdtpldt0(xk,xm),xI),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_82,c_0_83])]) ).

cnf(c_0_87,hypothesis,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_86]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : RNG088+1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.34  % Computer : n028.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Mon May 30 22:19:37 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.45  # ENIGMATIC: Selected complete mode:
% 7.38/2.35  # ENIGMATIC: Solved by autoschedule:
% 7.38/2.35  # No SInE strategy applied
% 7.38/2.35  # Trying AutoSched0 for 150 seconds
% 7.38/2.35  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI
% 7.38/2.35  # and selection function SelectCQArNTNpEqFirst.
% 7.38/2.35  #
% 7.38/2.35  # Preprocessing time       : 0.024 s
% 7.38/2.35  # Presaturation interreduction done
% 7.38/2.35  
% 7.38/2.35  # Proof found!
% 7.38/2.35  # SZS status Theorem
% 7.38/2.35  # SZS output start CNFRefutation
% See solution above
% 7.38/2.35  # Training examples: 0 positive, 0 negative
% 7.38/2.35  
% 7.38/2.35  # -------------------------------------------------
% 7.38/2.35  # User time                : 0.049 s
% 7.38/2.35  # System time              : 0.009 s
% 7.38/2.35  # Total time               : 0.057 s
% 7.38/2.35  # Maximum resident set size: 7124 pages
% 7.38/2.35  
%------------------------------------------------------------------------------