TSTP Solution File: ALG226+2 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : ALG226+2 : TPTP v8.1.0. Released v3.4.0.
% 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 : Thu Jul 14 15:33:09 EDT 2022

% Result   : Theorem 6.38s 3.65s
% Output   : CNFRefutation 6.38s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   26 (  21 unt;   2 nHn;  26 RR)
%            Number of literals    :   39 (  11 equ;  16 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   4 con; 0-2 aty)
%            Number of variables   :   12 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_4008,negated_conjecture,
    k7_relat_1(esk551_0,k1_closure3(esk549_0,esk551_0)) = k7_relat_1(esk550_0,k1_closure3(esk549_0,esk550_0)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5jqw1q22/lgb.p',i_0_4008) ).

cnf(i_0_4009,negated_conjecture,
    k1_closure3(esk549_0,esk551_0) = k1_closure3(esk549_0,esk550_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5jqw1q22/lgb.p',i_0_4009) ).

cnf(i_0_3811,plain,
    ( k1_funct_4(k2_zfmisc_1(X1,k1_tarski(k1_xboole_0)),k7_relat_1(X2,k1_closure3(X1,X2))) = X2
    | v1_xboole_0(X1)
    | ~ v2_relat_1(X2)
    | ~ m1_pboole(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5jqw1q22/lgb.p',i_0_3811) ).

cnf(i_0_4013,negated_conjecture,
    v2_relat_1(esk550_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5jqw1q22/lgb.p',i_0_4013) ).

cnf(i_0_4012,negated_conjecture,
    m1_pboole(esk550_0,esk549_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5jqw1q22/lgb.p',i_0_4012) ).

cnf(i_0_4014,negated_conjecture,
    ~ v1_xboole_0(esk549_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5jqw1q22/lgb.p',i_0_4014) ).

cnf(i_0_4011,negated_conjecture,
    v2_relat_1(esk551_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5jqw1q22/lgb.p',i_0_4011) ).

cnf(i_0_4010,negated_conjecture,
    m1_pboole(esk551_0,esk549_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5jqw1q22/lgb.p',i_0_4010) ).

cnf(i_0_4007,negated_conjecture,
    ~ r6_pboole(esk549_0,esk550_0,esk551_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5jqw1q22/lgb.p',i_0_4007) ).

cnf(i_0_1604,plain,
    ( r6_pboole(X1,X2,X3)
    | X2 != X3
    | ~ m1_pboole(X3,X1)
    | ~ m1_pboole(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5jqw1q22/lgb.p',i_0_1604) ).

cnf(c_0_4025,negated_conjecture,
    k7_relat_1(esk551_0,k1_closure3(esk549_0,esk551_0)) = k7_relat_1(esk550_0,k1_closure3(esk549_0,esk550_0)),
    i_0_4008 ).

cnf(c_0_4026,negated_conjecture,
    k1_closure3(esk549_0,esk551_0) = k1_closure3(esk549_0,esk550_0),
    i_0_4009 ).

cnf(c_0_4027,plain,
    ( k1_funct_4(k2_zfmisc_1(X1,k1_tarski(k1_xboole_0)),k7_relat_1(X2,k1_closure3(X1,X2))) = X2
    | v1_xboole_0(X1)
    | ~ v2_relat_1(X2)
    | ~ m1_pboole(X2,X1) ),
    i_0_3811 ).

cnf(c_0_4028,negated_conjecture,
    k7_relat_1(esk550_0,k1_closure3(esk549_0,esk551_0)) = k7_relat_1(esk551_0,k1_closure3(esk549_0,esk551_0)),
    inference(rw,[status(thm)],[c_0_4025,c_0_4026]) ).

cnf(c_0_4029,negated_conjecture,
    v2_relat_1(esk550_0),
    i_0_4013 ).

cnf(c_0_4030,negated_conjecture,
    m1_pboole(esk550_0,esk549_0),
    i_0_4012 ).

cnf(c_0_4031,negated_conjecture,
    ~ v1_xboole_0(esk549_0),
    i_0_4014 ).

cnf(c_0_4032,negated_conjecture,
    k1_funct_4(k2_zfmisc_1(esk549_0,k1_tarski(k1_xboole_0)),k7_relat_1(esk551_0,k1_closure3(esk549_0,esk551_0))) = esk550_0,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4027,c_0_4026]),c_0_4028]),c_0_4029]),c_0_4030])]),c_0_4031]) ).

cnf(c_0_4033,negated_conjecture,
    v2_relat_1(esk551_0),
    i_0_4011 ).

cnf(c_0_4034,negated_conjecture,
    m1_pboole(esk551_0,esk549_0),
    i_0_4010 ).

cnf(c_0_4035,negated_conjecture,
    ~ r6_pboole(esk549_0,esk550_0,esk551_0),
    i_0_4007 ).

cnf(c_0_4036,plain,
    esk550_0 = esk551_0,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4027,c_0_4032]),c_0_4033]),c_0_4034])]),c_0_4031]) ).

cnf(c_0_4037,plain,
    ( r6_pboole(X1,X2,X3)
    | X2 != X3
    | ~ m1_pboole(X3,X1)
    | ~ m1_pboole(X2,X1) ),
    i_0_1604 ).

cnf(c_0_4038,negated_conjecture,
    ~ r6_pboole(esk549_0,esk551_0,esk551_0),
    inference(rw,[status(thm)],[c_0_4035,c_0_4036]) ).

cnf(c_0_4039,plain,
    ( r6_pboole(X1,X2,X2)
    | ~ m1_pboole(X2,X1) ),
    inference(er,[status(thm)],[c_0_4037]) ).

cnf(c_0_4040,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4038,c_0_4039]),c_0_4034])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11  % Problem  : ALG226+2 : TPTP v8.1.0. Released v3.4.0.
% 0.02/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n028.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 : Wed Jun  8 17:59:18 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.17/0.43  # ENIGMATIC: Selected SinE mode:
% 0.39/0.61  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.39/0.61  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.39/0.61  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.39/0.61  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 6.38/3.65  # ENIGMATIC: Solved by autoschedule-lgb:
% 6.38/3.65  # No SInE strategy applied
% 6.38/3.65  # Trying AutoSched0 for 150 seconds
% 6.38/3.65  # AutoSched0-Mode selected heuristic G_E___302_C18_F1_URBAN_S5PRR_RG_S0Y
% 6.38/3.65  # and selection function SelectMaxLComplexAvoidPosPred.
% 6.38/3.65  #
% 6.38/3.65  # Preprocessing time       : 0.017 s
% 6.38/3.65  
% 6.38/3.65  # Proof found!
% 6.38/3.65  # SZS status Theorem
% 6.38/3.65  # SZS output start CNFRefutation
% See solution above
% 6.38/3.65  # Training examples: 0 positive, 0 negative
% 6.38/3.65  
% 6.38/3.65  # -------------------------------------------------
% 6.38/3.65  # User time                : 0.035 s
% 6.38/3.65  # System time              : 0.006 s
% 6.38/3.65  # Total time               : 0.041 s
% 6.38/3.65  # Maximum resident set size: 7128 pages
% 6.38/3.65  
%------------------------------------------------------------------------------