TSTP Solution File: NUN081+2 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : NUN081+2 : TPTP v8.1.0. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n024.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 16:24:57 EDT 2022

% Result   : Theorem 7.37s 2.46s
% Output   : CNFRefutation 7.37s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   22 (  10 unt;   0 nHn;  15 RR)
%            Number of literals    :   48 (   9 equ;  33 neg)
%            Maximal clause size   :    6 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   1 con; 0-1 aty)
%            Number of variables   :   45 (  13 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_8,plain,
    ( X1 = esk5_0
    | ~ r1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9bjzdf8l/lgb.p',i_0_8) ).

cnf(i_0_26,plain,
    r1(esk13_1(X1)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9bjzdf8l/lgb.p',i_0_26) ).

cnf(i_0_40,negated_conjecture,
    ( X1 != X2
    | ~ r1(X3)
    | ~ r2(X3,X4)
    | ~ r2(X4,X5)
    | ~ r2(X5,X2)
    | ~ r3(X6,X7,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9bjzdf8l/lgb.p',i_0_40) ).

cnf(i_0_25,plain,
    r3(X1,esk13_1(X1),X1),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9bjzdf8l/lgb.p',i_0_25) ).

cnf(i_0_16,plain,
    ( r2(X1,X2)
    | X2 != esk10_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9bjzdf8l/lgb.p',i_0_16) ).

cnf(i_0_7,plain,
    ( r1(X1)
    | X1 != esk5_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9bjzdf8l/lgb.p',i_0_7) ).

cnf(c_0_47,plain,
    ( X1 = esk5_0
    | ~ r1(X1) ),
    i_0_8 ).

cnf(c_0_48,plain,
    r1(esk13_1(X1)),
    i_0_26 ).

cnf(c_0_49,negated_conjecture,
    ( X1 != X2
    | ~ r1(X3)
    | ~ r2(X3,X4)
    | ~ r2(X4,X5)
    | ~ r2(X5,X2)
    | ~ r3(X6,X7,X1) ),
    i_0_40 ).

cnf(c_0_50,plain,
    r3(X1,esk13_1(X1),X1),
    i_0_25 ).

cnf(c_0_51,plain,
    esk13_1(X1) = esk5_0,
    inference(spm,[status(thm)],[c_0_47,c_0_48]) ).

cnf(c_0_52,negated_conjecture,
    ( ~ r3(X1,X2,X3)
    | ~ r2(X4,X3)
    | ~ r2(X5,X4)
    | ~ r2(X6,X5)
    | ~ r1(X6) ),
    inference(er,[status(thm)],[c_0_49]) ).

cnf(c_0_53,plain,
    r3(X1,esk5_0,X1),
    inference(rw,[status(thm)],[c_0_50,c_0_51]) ).

cnf(c_0_54,plain,
    ( r2(X1,X2)
    | X2 != esk10_1(X1) ),
    i_0_16 ).

cnf(c_0_55,plain,
    ( ~ r2(X1,X2)
    | ~ r2(X3,X1)
    | ~ r2(X4,X3)
    | ~ r1(X4) ),
    inference(spm,[status(thm)],[c_0_52,c_0_53]) ).

cnf(c_0_56,plain,
    r2(X1,esk10_1(X1)),
    inference(er,[status(thm)],[c_0_54]) ).

cnf(c_0_57,plain,
    ( ~ r2(X1,X2)
    | ~ r2(X3,X1)
    | ~ r1(X3) ),
    inference(spm,[status(thm)],[c_0_55,c_0_56]) ).

cnf(c_0_58,plain,
    ( r1(X1)
    | X1 != esk5_0 ),
    i_0_7 ).

cnf(c_0_59,plain,
    ( ~ r2(X1,X2)
    | ~ r1(X1) ),
    inference(spm,[status(thm)],[c_0_57,c_0_56]) ).

cnf(c_0_60,plain,
    r1(esk5_0),
    inference(er,[status(thm)],[c_0_58]) ).

cnf(c_0_61,plain,
    ~ r1(X1),
    inference(spm,[status(thm)],[c_0_59,c_0_56]) ).

cnf(c_0_62,plain,
    $false,
    inference(sr,[status(thm)],[c_0_60,c_0_61]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : NUN081+2 : TPTP v8.1.0. Released v7.3.0.
% 0.03/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.35  % Computer : n024.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Thu Jun  2 09:59:07 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.20/0.46  # ENIGMATIC: Selected SinE mode:
% 0.20/0.47  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.20/0.47  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.20/0.47  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 7.37/2.46  # ENIGMATIC: Solved by autoschedule-lgb:
% 7.37/2.46  # No SInE strategy applied
% 7.37/2.46  # Trying AutoSched0 for 150 seconds
% 7.37/2.46  # AutoSched0-Mode selected heuristic G_E___208_B00_00_F1_SE_CS_SP_PS_S071I
% 7.37/2.46  # and selection function SelectCQArEqLast.
% 7.37/2.46  #
% 7.37/2.46  # Preprocessing time       : 0.012 s
% 7.37/2.46  # Presaturation interreduction done
% 7.37/2.46  
% 7.37/2.46  # Proof found!
% 7.37/2.46  # SZS status Theorem
% 7.37/2.46  # SZS output start CNFRefutation
% See solution above
% 7.37/2.46  # Training examples: 0 positive, 0 negative
% 7.37/2.46  
% 7.37/2.46  # -------------------------------------------------
% 7.37/2.46  # User time                : 0.014 s
% 7.37/2.46  # System time              : 0.006 s
% 7.37/2.46  # Total time               : 0.020 s
% 7.37/2.46  # Maximum resident set size: 7124 pages
% 7.37/2.46  
%------------------------------------------------------------------------------