TSTP Solution File: LAT291+2 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : LAT291+2 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n018.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 04:28:58 EDT 2022

% Result   : Theorem 34.74s 6.97s
% Output   : CNFRefutation 34.74s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   14
% Syntax   : Number of clauses     :   35 (  19 unt;  12 nHn;  32 RR)
%            Number of literals    :   93 (  18 equ;  44 neg)
%            Maximal clause size   :    7 (   2 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :   10 (   8 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   3 con; 0-4 aty)
%            Number of variables   :   21 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_760,plain,
    ( X1 = k1_xboole_0
    | ~ v1_xboole_0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2anh5yxt/lgb.p',i_0_760) ).

cnf(i_0_1693,plain,
    v1_xboole_0(esk234_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2anh5yxt/lgb.p',i_0_1693) ).

cnf(i_0_2940,plain,
    ( k4_xboole_0(k7_lopclset(X1),k8_funct_2(u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)),k9_lopclset(X1),X2)) = k8_funct_2(u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)),k9_lopclset(X1),k7_lattices(X1,X2))
    | v3_struct_0(X1)
    | v3_realset2(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ v17_lattices(X1)
    | ~ m1_subset_1(X2,u1_struct_0(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2anh5yxt/lgb.p',i_0_2940) ).

cnf(i_0_966,plain,
    ( v3_struct_0(X1)
    | m1_subset_1(k5_lattices(X1),u1_struct_0(X1))
    | ~ l1_lattices(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2anh5yxt/lgb.p',i_0_966) ).

cnf(i_0_1011,plain,
    ( l1_lattices(X1)
    | ~ l3_lattices(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2anh5yxt/lgb.p',i_0_1011) ).

cnf(i_0_3200,plain,
    ( k8_funct_2(u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)),k9_lopclset(X1),k5_lattices(X1)) = k1_xboole_0
    | v3_struct_0(X1)
    | v3_realset2(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ v17_lattices(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2anh5yxt/lgb.p',i_0_3200) ).

cnf(i_0_3288,plain,
    k4_xboole_0(X1,k1_xboole_0) = X1,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2anh5yxt/lgb.p',i_0_3288) ).

cnf(i_0_3220,plain,
    ( k7_lattices(X1,k5_lattices(X1)) = k6_lattices(X1)
    | v3_struct_0(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ v17_lattices(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2anh5yxt/lgb.p',i_0_3220) ).

cnf(i_0_3221,negated_conjecture,
    k8_funct_2(u1_struct_0(esk456_0),k1_zfmisc_1(k7_lopclset(esk456_0)),k9_lopclset(esk456_0),k6_lattices(esk456_0)) != k7_lopclset(esk456_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2anh5yxt/lgb.p',i_0_3221) ).

cnf(i_0_3224,negated_conjecture,
    v17_lattices(esk456_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2anh5yxt/lgb.p',i_0_3224) ).

cnf(i_0_3225,negated_conjecture,
    v10_lattices(esk456_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2anh5yxt/lgb.p',i_0_3225) ).

cnf(i_0_3222,negated_conjecture,
    l3_lattices(esk456_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2anh5yxt/lgb.p',i_0_3222) ).

cnf(i_0_3223,negated_conjecture,
    ~ v3_realset2(esk456_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2anh5yxt/lgb.p',i_0_3223) ).

cnf(i_0_3226,negated_conjecture,
    ~ v3_struct_0(esk456_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2anh5yxt/lgb.p',i_0_3226) ).

cnf(c_0_3303,plain,
    ( X1 = k1_xboole_0
    | ~ v1_xboole_0(X1) ),
    i_0_760 ).

cnf(c_0_3304,plain,
    v1_xboole_0(esk234_0),
    i_0_1693 ).

cnf(c_0_3305,plain,
    ( k4_xboole_0(k7_lopclset(X1),k8_funct_2(u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)),k9_lopclset(X1),X2)) = k8_funct_2(u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)),k9_lopclset(X1),k7_lattices(X1,X2))
    | v3_struct_0(X1)
    | v3_realset2(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ v17_lattices(X1)
    | ~ m1_subset_1(X2,u1_struct_0(X1)) ),
    i_0_2940 ).

cnf(c_0_3306,plain,
    ( v3_struct_0(X1)
    | m1_subset_1(k5_lattices(X1),u1_struct_0(X1))
    | ~ l1_lattices(X1) ),
    i_0_966 ).

cnf(c_0_3307,plain,
    ( l1_lattices(X1)
    | ~ l3_lattices(X1) ),
    i_0_1011 ).

cnf(c_0_3308,plain,
    ( k8_funct_2(u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)),k9_lopclset(X1),k5_lattices(X1)) = k1_xboole_0
    | v3_struct_0(X1)
    | v3_realset2(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ v17_lattices(X1) ),
    i_0_3200 ).

cnf(c_0_3309,plain,
    k1_xboole_0 = esk234_0,
    inference(spm,[status(thm)],[c_0_3303,c_0_3304]) ).

cnf(c_0_3310,plain,
    k4_xboole_0(X1,k1_xboole_0) = X1,
    i_0_3288 ).

cnf(c_0_3311,plain,
    ( k4_xboole_0(k7_lopclset(X1),k8_funct_2(u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)),k9_lopclset(X1),k5_lattices(X1))) = k8_funct_2(u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)),k9_lopclset(X1),k7_lattices(X1,k5_lattices(X1)))
    | v3_realset2(X1)
    | v3_struct_0(X1)
    | ~ v17_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3305,c_0_3306]),c_0_3307]) ).

cnf(c_0_3312,plain,
    ( k8_funct_2(u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)),k9_lopclset(X1),k5_lattices(X1)) = esk234_0
    | v3_realset2(X1)
    | v3_struct_0(X1)
    | ~ v17_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1) ),
    inference(rw,[status(thm)],[c_0_3308,c_0_3309]) ).

cnf(c_0_3313,plain,
    k4_xboole_0(X1,esk234_0) = X1,
    inference(rw,[status(thm)],[c_0_3310,c_0_3309]) ).

cnf(c_0_3314,plain,
    ( k8_funct_2(u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)),k9_lopclset(X1),k7_lattices(X1,k5_lattices(X1))) = k7_lopclset(X1)
    | v3_realset2(X1)
    | v3_struct_0(X1)
    | ~ v17_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3311,c_0_3312]),c_0_3313]) ).

cnf(c_0_3315,plain,
    ( k7_lattices(X1,k5_lattices(X1)) = k6_lattices(X1)
    | v3_struct_0(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ v17_lattices(X1) ),
    i_0_3220 ).

cnf(c_0_3316,negated_conjecture,
    k8_funct_2(u1_struct_0(esk456_0),k1_zfmisc_1(k7_lopclset(esk456_0)),k9_lopclset(esk456_0),k6_lattices(esk456_0)) != k7_lopclset(esk456_0),
    i_0_3221 ).

cnf(c_0_3317,plain,
    ( k8_funct_2(u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)),k9_lopclset(X1),k6_lattices(X1)) = k7_lopclset(X1)
    | v3_realset2(X1)
    | v3_struct_0(X1)
    | ~ v17_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1) ),
    inference(spm,[status(thm)],[c_0_3314,c_0_3315]) ).

cnf(c_0_3318,negated_conjecture,
    v17_lattices(esk456_0),
    i_0_3224 ).

cnf(c_0_3319,negated_conjecture,
    v10_lattices(esk456_0),
    i_0_3225 ).

cnf(c_0_3320,negated_conjecture,
    l3_lattices(esk456_0),
    i_0_3222 ).

cnf(c_0_3321,negated_conjecture,
    ~ v3_realset2(esk456_0),
    i_0_3223 ).

cnf(c_0_3322,negated_conjecture,
    ~ v3_struct_0(esk456_0),
    i_0_3226 ).

cnf(c_0_3323,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[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_3316,c_0_3317]),c_0_3318]),c_0_3319]),c_0_3320])]),c_0_3321]),c_0_3322]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : LAT291+2 : TPTP v8.1.0. Released v3.4.0.
% 0.10/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n018.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 : Thu Jun 30 12:46:04 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.45  # ENIGMATIC: Selected SinE mode:
% 0.44/0.67  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.44/0.67  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.44/0.67  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.44/0.67  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 34.74/6.97  # ENIGMATIC: Solved by autoschedule-lgb:
% 34.74/6.97  # No SInE strategy applied
% 34.74/6.97  # Trying AutoSched0 for 150 seconds
% 34.74/6.97  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_S4d
% 34.74/6.97  # and selection function SelectCQIPrecWNTNp.
% 34.74/6.97  #
% 34.74/6.97  # Preprocessing time       : 0.016 s
% 34.74/6.97  # Presaturation interreduction done
% 34.74/6.97  
% 34.74/6.97  # Proof found!
% 34.74/6.97  # SZS status Theorem
% 34.74/6.97  # SZS output start CNFRefutation
% See solution above
% 34.74/6.97  # Training examples: 0 positive, 0 negative
% 34.74/6.97  
% 34.74/6.97  # -------------------------------------------------
% 34.74/6.97  # User time                : 3.069 s
% 34.74/6.97  # System time              : 0.147 s
% 34.74/6.97  # Total time               : 3.216 s
% 34.74/6.97  # Maximum resident set size: 7128 pages
% 34.74/6.97  
%------------------------------------------------------------------------------