TSTP Solution File: LAT289+4 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : LAT289+4 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n027.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 04:28:56 EDT 2022

% Result   : Theorem 133.51s 21.25s
% Output   : CNFRefutation 133.51s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   19
% Syntax   : Number of clauses     :   47 (  24 unt;  17 nHn;  47 RR)
%            Number of literals    :  154 (   7 equ;  83 neg)
%            Maximal clause size   :   10 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   16 (  14 usr;   1 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   3 con; 0-4 aty)
%            Number of variables   :   41 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_921,plain,
    ( v3_struct_0(X1)
    | ~ l3_lattices(X1)
    | ~ v1_xboole_0(X2)
    | ~ v10_lattices(X1)
    | ~ m1_filter_0(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-al0s255k/lgb.p',i_0_921) ).

cnf(i_0_2299,plain,
    ( v3_struct_0(X1)
    | m1_filter_0(u1_struct_0(X1),X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-al0s255k/lgb.p',i_0_2299) ).

cnf(i_0_1674,plain,
    ( k8_funct_2(X1,X2,X3,X4) = k1_funct_1(X3,X4)
    | v1_xboole_0(X1)
    | ~ v1_funct_1(X3)
    | ~ m1_subset_1(X4,X1)
    | ~ m1_relset_1(X3,X1,X2)
    | ~ v1_funct_2(X3,X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-al0s255k/lgb.p',i_0_1674) ).

cnf(i_0_915,plain,
    ( v3_struct_0(X1)
    | v3_realset2(X1)
    | v1_funct_2(k9_lopclset(X1),u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ v17_lattices(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-al0s255k/lgb.p',i_0_915) ).

cnf(i_0_916,plain,
    ( v3_struct_0(X1)
    | v3_realset2(X1)
    | v1_funct_1(k9_lopclset(X1))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ v17_lattices(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-al0s255k/lgb.p',i_0_916) ).

cnf(i_0_1677,plain,
    ( m1_relset_1(X1,X2,X3)
    | ~ m2_relset_1(X1,X2,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-al0s255k/lgb.p',i_0_1677) ).

cnf(i_0_914,plain,
    ( v3_struct_0(X1)
    | v3_realset2(X1)
    | m2_relset_1(k9_lopclset(X1),u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ v17_lattices(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-al0s255k/lgb.p',i_0_914) ).

cnf(i_0_2995,plain,
    ( v3_struct_0(X1)
    | v3_realset2(X1)
    | r2_hidden(X2,k1_funct_1(k8_lopclset(X1),X3))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ v17_lattices(X1)
    | ~ r2_hidden(X3,X2)
    | ~ m1_filter_0(X2,X1)
    | ~ v1_filter_0(X2,X1)
    | ~ m1_subset_1(X3,u1_struct_0(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-al0s255k/lgb.p',i_0_2995) ).

cnf(i_0_3449,negated_conjecture,
    v1_filter_0(esk575_0,esk573_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-al0s255k/lgb.p',i_0_3449) ).

cnf(i_0_3454,negated_conjecture,
    v17_lattices(esk573_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-al0s255k/lgb.p',i_0_3454) ).

cnf(i_0_3455,negated_conjecture,
    v10_lattices(esk573_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-al0s255k/lgb.p',i_0_3455) ).

cnf(i_0_3452,negated_conjecture,
    l3_lattices(esk573_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-al0s255k/lgb.p',i_0_3452) ).

cnf(i_0_3450,negated_conjecture,
    m1_filter_0(esk575_0,esk573_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-al0s255k/lgb.p',i_0_3450) ).

cnf(i_0_3453,negated_conjecture,
    ~ v3_realset2(esk573_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-al0s255k/lgb.p',i_0_3453) ).

cnf(i_0_3456,negated_conjecture,
    ~ v3_struct_0(esk573_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-al0s255k/lgb.p',i_0_3456) ).

cnf(i_0_3447,negated_conjecture,
    r2_hidden(esk574_0,esk575_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-al0s255k/lgb.p',i_0_3447) ).

cnf(i_0_3451,negated_conjecture,
    m1_subset_1(esk574_0,u1_struct_0(esk573_0)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-al0s255k/lgb.p',i_0_3451) ).

cnf(i_0_1675,plain,
    ( k9_lopclset(X1) = k8_lopclset(X1)
    | v3_struct_0(X1)
    | v3_realset2(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ v17_lattices(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-al0s255k/lgb.p',i_0_1675) ).

cnf(i_0_3448,negated_conjecture,
    ~ r2_hidden(esk575_0,k8_funct_2(u1_struct_0(esk573_0),k1_zfmisc_1(k7_lopclset(esk573_0)),k9_lopclset(esk573_0),esk574_0)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-al0s255k/lgb.p',i_0_3448) ).

cnf(c_0_3476,plain,
    ( v3_struct_0(X1)
    | ~ l3_lattices(X1)
    | ~ v1_xboole_0(X2)
    | ~ v10_lattices(X1)
    | ~ m1_filter_0(X2,X1) ),
    i_0_921 ).

cnf(c_0_3477,plain,
    ( v3_struct_0(X1)
    | m1_filter_0(u1_struct_0(X1),X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    i_0_2299 ).

cnf(c_0_3478,plain,
    ( k8_funct_2(X1,X2,X3,X4) = k1_funct_1(X3,X4)
    | v1_xboole_0(X1)
    | ~ v1_funct_1(X3)
    | ~ m1_subset_1(X4,X1)
    | ~ m1_relset_1(X3,X1,X2)
    | ~ v1_funct_2(X3,X1,X2) ),
    i_0_1674 ).

cnf(c_0_3479,plain,
    ( v3_struct_0(X1)
    | v3_realset2(X1)
    | v1_funct_2(k9_lopclset(X1),u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ v17_lattices(X1) ),
    i_0_915 ).

cnf(c_0_3480,plain,
    ( v3_struct_0(X1)
    | v3_realset2(X1)
    | v1_funct_1(k9_lopclset(X1))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ v17_lattices(X1) ),
    i_0_916 ).

cnf(c_0_3481,plain,
    ( v3_struct_0(X1)
    | ~ v1_xboole_0(u1_struct_0(X1))
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1) ),
    inference(spm,[status(thm)],[c_0_3476,c_0_3477]) ).

cnf(c_0_3482,plain,
    ( m1_relset_1(X1,X2,X3)
    | ~ m2_relset_1(X1,X2,X3) ),
    i_0_1677 ).

cnf(c_0_3483,plain,
    ( v3_struct_0(X1)
    | v3_realset2(X1)
    | m2_relset_1(k9_lopclset(X1),u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ v17_lattices(X1) ),
    i_0_914 ).

cnf(c_0_3484,plain,
    ( v3_struct_0(X1)
    | v3_realset2(X1)
    | r2_hidden(X2,k1_funct_1(k8_lopclset(X1),X3))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ v17_lattices(X1)
    | ~ r2_hidden(X3,X2)
    | ~ m1_filter_0(X2,X1)
    | ~ v1_filter_0(X2,X1)
    | ~ m1_subset_1(X3,u1_struct_0(X1)) ),
    i_0_2995 ).

cnf(c_0_3485,negated_conjecture,
    v1_filter_0(esk575_0,esk573_0),
    i_0_3449 ).

cnf(c_0_3486,negated_conjecture,
    v17_lattices(esk573_0),
    i_0_3454 ).

cnf(c_0_3487,negated_conjecture,
    v10_lattices(esk573_0),
    i_0_3455 ).

cnf(c_0_3488,negated_conjecture,
    l3_lattices(esk573_0),
    i_0_3452 ).

cnf(c_0_3489,negated_conjecture,
    m1_filter_0(esk575_0,esk573_0),
    i_0_3450 ).

cnf(c_0_3490,negated_conjecture,
    ~ v3_realset2(esk573_0),
    i_0_3453 ).

cnf(c_0_3491,negated_conjecture,
    ~ v3_struct_0(esk573_0),
    i_0_3456 ).

cnf(c_0_3492,plain,
    ( k8_funct_2(u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)),k9_lopclset(X1),X2) = k1_funct_1(k9_lopclset(X1),X2)
    | v3_realset2(X1)
    | v3_struct_0(X1)
    | ~ m1_relset_1(k9_lopclset(X1),u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)))
    | ~ v17_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ m1_subset_1(X2,u1_struct_0(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3478,c_0_3479]),c_0_3480]),c_0_3481]) ).

cnf(c_0_3493,plain,
    ( m1_relset_1(k9_lopclset(X1),u1_struct_0(X1),k1_zfmisc_1(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_3482,c_0_3483]) ).

cnf(c_0_3494,negated_conjecture,
    ( r2_hidden(esk575_0,k1_funct_1(k8_lopclset(esk573_0),X1))
    | ~ m1_subset_1(X1,u1_struct_0(esk573_0))
    | ~ r2_hidden(X1,esk575_0) ),
    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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3484,c_0_3485]),c_0_3486]),c_0_3487]),c_0_3488]),c_0_3489])]),c_0_3490]),c_0_3491]) ).

cnf(c_0_3495,negated_conjecture,
    r2_hidden(esk574_0,esk575_0),
    i_0_3447 ).

cnf(c_0_3496,negated_conjecture,
    m1_subset_1(esk574_0,u1_struct_0(esk573_0)),
    i_0_3451 ).

cnf(c_0_3497,plain,
    ( k8_funct_2(u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)),k9_lopclset(X1),X2) = k1_funct_1(k9_lopclset(X1),X2)
    | v3_realset2(X1)
    | v3_struct_0(X1)
    | ~ v17_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ m1_subset_1(X2,u1_struct_0(X1)) ),
    inference(spm,[status(thm)],[c_0_3492,c_0_3493]) ).

cnf(c_0_3498,negated_conjecture,
    r2_hidden(esk575_0,k1_funct_1(k8_lopclset(esk573_0),esk574_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3494,c_0_3495]),c_0_3496])]) ).

cnf(c_0_3499,plain,
    ( k9_lopclset(X1) = k8_lopclset(X1)
    | v3_struct_0(X1)
    | v3_realset2(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ v17_lattices(X1) ),
    i_0_1675 ).

cnf(c_0_3500,negated_conjecture,
    ~ r2_hidden(esk575_0,k8_funct_2(u1_struct_0(esk573_0),k1_zfmisc_1(k7_lopclset(esk573_0)),k9_lopclset(esk573_0),esk574_0)),
    i_0_3448 ).

cnf(c_0_3501,negated_conjecture,
    k8_funct_2(u1_struct_0(esk573_0),k1_zfmisc_1(k7_lopclset(esk573_0)),k9_lopclset(esk573_0),esk574_0) = k1_funct_1(k9_lopclset(esk573_0),esk574_0),
    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_3497,c_0_3496]),c_0_3486]),c_0_3487]),c_0_3488])]),c_0_3490]),c_0_3491]) ).

cnf(c_0_3502,plain,
    r2_hidden(esk575_0,k1_funct_1(k9_lopclset(esk573_0),esk574_0)),
    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_3498,c_0_3499]),c_0_3486]),c_0_3487]),c_0_3488])]),c_0_3490]),c_0_3491]) ).

cnf(c_0_3503,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_3500,c_0_3501]),c_0_3502])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : LAT289+4 : TPTP v8.1.0. Released v3.4.0.
% 0.11/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n027.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 28 20:45:41 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.45  # ENIGMATIC: Selected SinE mode:
% 1.30/1.48  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.30/1.48  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 1.30/1.48  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 1.30/1.48  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 133.51/21.25  # ENIGMATIC: Solved by autoschedule-lgb:
% 133.51/21.25  # No SInE strategy applied
% 133.51/21.25  # Trying AutoSched0 for 148 seconds
% 133.51/21.25  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_S4d
% 133.51/21.25  # and selection function SelectCQIPrecWNTNp.
% 133.51/21.25  #
% 133.51/21.25  # Preprocessing time       : 0.030 s
% 133.51/21.25  # Presaturation interreduction done
% 133.51/21.25  
% 133.51/21.25  # Proof found!
% 133.51/21.25  # SZS status Theorem
% 133.51/21.25  # SZS output start CNFRefutation
% See solution above
% 133.51/21.25  # Training examples: 0 positive, 0 negative
% 133.51/21.25  
% 133.51/21.25  # -------------------------------------------------
% 133.51/21.25  # User time                : 14.838 s
% 133.51/21.25  # System time              : 0.363 s
% 133.51/21.25  # Total time               : 15.201 s
% 133.51/21.25  # Maximum resident set size: 7124 pages
% 133.51/21.25  
%------------------------------------------------------------------------------