TSTP Solution File: KRS217+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : KRS217+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n023.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 : Sun Jul 17 02:56:08 EDT 2022

% Result   : Theorem 19.48s 3.82s
% Output   : CNFRefutation 19.48s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   16
% Syntax   : Number of clauses     :   52 (  15 unt;  16 nHn;  33 RR)
%            Number of literals    :  123 (   0 equ;  62 neg)
%            Maximal clause size   :    6 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :   16 (  16 usr;  10 con; 0-2 aty)
%            Number of variables   :  116 (  41 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_1,plain,
    ( ~ model(X1,X2)
    | ~ status(X2,X3,cax) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-i6n1qkp2/lgb.p',i_0_1) ).

cnf(i_0_2,plain,
    ( model(esk1_1(X1),X1)
    | status(X1,X2,cax) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-i6n1qkp2/lgb.p',i_0_2) ).

cnf(i_0_64,plain,
    ( ~ model(X1,X2)
    | ~ status(X2,X3,sca) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-i6n1qkp2/lgb.p',i_0_64) ).

cnf(i_0_65,plain,
    ( status(X1,X2,sca)
    | model(esk42_2(X1,X2),X1)
    | ~ model(X3,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-i6n1qkp2/lgb.p',i_0_65) ).

cnf(i_0_31,plain,
    model(esk20_0,esk18_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-i6n1qkp2/lgb.p',i_0_31) ).

cnf(i_0_49,negated_conjecture,
    ~ nota(noc,thm),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-i6n1qkp2/lgb.p',i_0_49) ).

cnf(i_0_48,plain,
    ( nota(X1,X2)
    | status(X3,X4,X2)
    | ~ status(X3,X4,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-i6n1qkp2/lgb.p',i_0_48) ).

cnf(i_0_14,plain,
    ( model(esk9_2(X1,X2),X1)
    | ~ model(X3,X2)
    | ~ status(X1,X2,esa) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-i6n1qkp2/lgb.p',i_0_14) ).

cnf(i_0_17,plain,
    ( status(X1,X2,esa)
    | ~ model(X3,X2)
    | ~ model(X4,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-i6n1qkp2/lgb.p',i_0_17) ).

cnf(i_0_72,plain,
    model(X1,esk48_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-i6n1qkp2/lgb.p',i_0_72) ).

cnf(i_0_76,plain,
    ( model(X1,X2)
    | ~ model(X1,X3)
    | ~ status(X3,X2,thm) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-i6n1qkp2/lgb.p',i_0_76) ).

cnf(i_0_42,plain,
    ( status(X1,X2,noc)
    | ~ model(X3,X1)
    | ~ model(X4,X2)
    | ~ model(X4,X1)
    | ~ model(X3,not(X2)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-i6n1qkp2/lgb.p',i_0_42) ).

cnf(i_0_50,plain,
    ( model(X1,X2)
    | model(X1,not(X2)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-i6n1qkp2/lgb.p',i_0_50) ).

cnf(i_0_16,plain,
    ( status(X1,X2,esa)
    | model(esk6_2(X1,X2),X1)
    | model(esk7_2(X1,X2),X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-i6n1qkp2/lgb.p',i_0_16) ).

cnf(i_0_5,plain,
    ~ model(X1,esk2_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-i6n1qkp2/lgb.p',i_0_5) ).

cnf(i_0_30,plain,
    ~ model(esk21_0,esk18_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-i6n1qkp2/lgb.p',i_0_30) ).

cnf(c_0_93,plain,
    ( ~ model(X1,X2)
    | ~ status(X2,X3,cax) ),
    i_0_1 ).

cnf(c_0_94,plain,
    ( model(esk1_1(X1),X1)
    | status(X1,X2,cax) ),
    i_0_2 ).

cnf(c_0_95,plain,
    ( ~ model(X1,X2)
    | ~ status(X2,X3,sca) ),
    i_0_64 ).

cnf(c_0_96,plain,
    ( status(X1,X2,sca)
    | model(esk42_2(X1,X2),X1)
    | ~ model(X3,X2) ),
    i_0_65 ).

cnf(c_0_97,plain,
    ( model(esk1_1(X1),X1)
    | ~ model(X2,X1) ),
    inference(spm,[status(thm)],[c_0_93,c_0_94]) ).

cnf(c_0_98,plain,
    model(esk20_0,esk18_0),
    i_0_31 ).

cnf(c_0_99,plain,
    ( model(esk42_2(X1,X2),X1)
    | ~ model(X3,X1)
    | ~ model(X4,X2) ),
    inference(spm,[status(thm)],[c_0_95,c_0_96]) ).

cnf(c_0_100,plain,
    model(esk1_1(esk18_0),esk18_0),
    inference(spm,[status(thm)],[c_0_97,c_0_98]) ).

cnf(c_0_101,negated_conjecture,
    ~ nota(noc,thm),
    i_0_49 ).

cnf(c_0_102,plain,
    ( nota(X1,X2)
    | status(X3,X4,X2)
    | ~ status(X3,X4,X1) ),
    i_0_48 ).

cnf(c_0_103,plain,
    ( model(esk9_2(X1,X2),X1)
    | ~ model(X3,X2)
    | ~ status(X1,X2,esa) ),
    i_0_14 ).

cnf(c_0_104,plain,
    ( status(X1,X2,esa)
    | ~ model(X3,X2)
    | ~ model(X4,X1) ),
    i_0_17 ).

cnf(c_0_105,plain,
    ( model(esk42_2(esk18_0,X1),esk18_0)
    | ~ model(X2,X1) ),
    inference(spm,[status(thm)],[c_0_99,c_0_100]) ).

cnf(c_0_106,plain,
    model(X1,esk48_0),
    i_0_72 ).

cnf(c_0_107,plain,
    ( model(X1,X2)
    | ~ model(X1,X3)
    | ~ status(X3,X2,thm) ),
    i_0_76 ).

cnf(c_0_108,negated_conjecture,
    ( status(X1,X2,thm)
    | ~ status(X1,X2,noc) ),
    inference(spm,[status(thm)],[c_0_101,c_0_102]) ).

cnf(c_0_109,plain,
    ( model(esk9_2(X1,X2),X1)
    | ~ model(X3,X2)
    | ~ model(X4,X1)
    | ~ model(X5,X2) ),
    inference(spm,[status(thm)],[c_0_103,c_0_104]) ).

cnf(c_0_110,plain,
    model(esk42_2(esk18_0,esk48_0),esk18_0),
    inference(spm,[status(thm)],[c_0_105,c_0_106]) ).

cnf(c_0_111,plain,
    ( model(X1,X2)
    | ~ status(X3,X2,noc)
    | ~ model(X1,X3) ),
    inference(spm,[status(thm)],[c_0_107,c_0_108]) ).

cnf(c_0_112,plain,
    ( status(X1,X2,noc)
    | ~ model(X3,X1)
    | ~ model(X4,X2)
    | ~ model(X4,X1)
    | ~ model(X3,not(X2)) ),
    i_0_42 ).

cnf(c_0_113,plain,
    ( model(X1,X2)
    | model(X1,not(X2)) ),
    i_0_50 ).

cnf(c_0_114,plain,
    ( status(X1,X2,esa)
    | model(esk6_2(X1,X2),X1)
    | model(esk7_2(X1,X2),X2) ),
    i_0_16 ).

cnf(c_0_115,plain,
    ( model(esk9_2(X1,esk18_0),X1)
    | ~ model(X2,esk18_0)
    | ~ model(X3,X1) ),
    inference(spm,[status(thm)],[c_0_109,c_0_110]) ).

cnf(c_0_116,plain,
    ( model(X1,X2)
    | ~ model(X3,not(X2))
    | ~ model(X1,X4)
    | ~ model(X5,X2)
    | ~ model(X5,X4)
    | ~ model(X3,X4) ),
    inference(spm,[status(thm)],[c_0_111,c_0_112]) ).

cnf(c_0_117,plain,
    ( model(esk1_1(not(X1)),not(X1))
    | model(X2,X1) ),
    inference(spm,[status(thm)],[c_0_97,c_0_113]) ).

cnf(c_0_118,plain,
    ( model(esk7_2(X1,X2),X2)
    | model(esk6_2(X1,X2),X1)
    | model(esk9_2(X1,X2),X1)
    | ~ model(X3,X2) ),
    inference(spm,[status(thm)],[c_0_103,c_0_114]) ).

cnf(c_0_119,plain,
    ( model(esk9_2(X1,esk18_0),X1)
    | ~ model(X2,X1) ),
    inference(spm,[status(thm)],[c_0_115,c_0_110]) ).

cnf(c_0_120,plain,
    ( model(X1,X2)
    | model(X3,X2)
    | ~ model(esk1_1(not(X2)),X4)
    | ~ model(X3,X4)
    | ~ model(X5,X2)
    | ~ model(X5,X4) ),
    inference(spm,[status(thm)],[c_0_116,c_0_117]) ).

cnf(c_0_121,plain,
    ~ model(X1,esk2_0),
    i_0_5 ).

cnf(c_0_122,plain,
    ( model(esk7_2(X1,esk18_0),esk18_0)
    | model(esk9_2(X1,esk18_0),X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_110]),c_0_119]) ).

cnf(c_0_123,plain,
    ( model(X1,X2)
    | model(X3,X2)
    | ~ model(X4,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_106]),c_0_106]),c_0_106])]) ).

cnf(c_0_124,plain,
    model(esk7_2(esk2_0,esk18_0),esk18_0),
    inference(spm,[status(thm)],[c_0_121,c_0_122]) ).

cnf(c_0_125,plain,
    ( model(X1,esk18_0)
    | model(X2,esk18_0) ),
    inference(spm,[status(thm)],[c_0_123,c_0_124]) ).

cnf(c_0_126,plain,
    ~ model(esk21_0,esk18_0),
    i_0_30 ).

cnf(c_0_127,plain,
    model(X1,esk18_0),
    inference(ef,[status(thm)],[c_0_125]) ).

cnf(c_0_128,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_126,c_0_127])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : KRS217+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.03/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n023.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 Jun  7 11:30:55 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.45  # ENIGMATIC: Selected SinE mode:
% 0.18/0.45  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.45  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.18/0.45  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.18/0.45  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 19.48/3.82  # ENIGMATIC: Solved by autoschedule-lgb:
% 19.48/3.82  # No SInE strategy applied
% 19.48/3.82  # Trying AutoSched0 for 150 seconds
% 19.48/3.82  # AutoSched0-Mode selected heuristic G_E___107_B42_F1_PI_SE_Q4_CS_SP_PS_S0YA
% 19.48/3.82  # and selection function SelectMaxLComplexAvoidPosPred.
% 19.48/3.82  #
% 19.48/3.82  # Preprocessing time       : 0.025 s
% 19.48/3.82  # Presaturation interreduction done
% 19.48/3.82  
% 19.48/3.82  # Proof found!
% 19.48/3.82  # SZS status Theorem
% 19.48/3.82  # SZS output start CNFRefutation
% See solution above
% 19.48/3.82  # Training examples: 0 positive, 0 negative
% 19.48/3.82  
% 19.48/3.82  # -------------------------------------------------
% 19.48/3.82  # User time                : 1.504 s
% 19.48/3.82  # System time              : 0.084 s
% 19.48/3.82  # Total time               : 1.588 s
% 19.48/3.82  # Maximum resident set size: 7124 pages
% 19.48/3.82  
%------------------------------------------------------------------------------