TSTP Solution File: LAT297+2 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : LAT297+2 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n013.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 04:29:05 EDT 2022

% Result   : Theorem 30.07s 6.28s
% Output   : CNFRefutation 30.07s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   17
% Syntax   : Number of clauses     :   47 (  15 unt;  16 nHn;  47 RR)
%            Number of literals    :  180 (   0 equ; 105 neg)
%            Maximal clause size   :    9 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    9 (   8 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   2 con; 0-3 aty)
%            Number of variables   :   57 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_3335,plain,
    ( ~ v1_xboole_0(X1)
    | ~ r2_hidden(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5l9g205x/input.p',i_0_3335) ).

cnf(i_0_157,plain,
    ( v3_struct_0(X1)
    | m2_lattice4(X2,X1)
    | r2_hidden(esk6_2(X1,X2),X2)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5l9g205x/input.p',i_0_157) ).

cnf(i_0_2765,plain,
    ( m1_subset_1(X1,X2)
    | ~ r2_hidden(X1,X3)
    | ~ m1_subset_1(X3,k1_zfmisc_1(X2)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5l9g205x/input.p',i_0_2765) ).

cnf(i_0_1629,negated_conjecture,
    m1_subset_1(esk309_0,k1_zfmisc_1(u1_struct_0(esk308_0))),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5l9g205x/input.p',i_0_1629) ).

cnf(i_0_1625,negated_conjecture,
    ~ m2_lattice4(esk309_0,esk308_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5l9g205x/input.p',i_0_1625) ).

cnf(i_0_1488,plain,
    ( v3_struct_0(X1)
    | m2_lattice4(X2,X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ m1_filter_0(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5l9g205x/input.p',i_0_1488) ).

cnf(i_0_1631,negated_conjecture,
    v10_lattices(esk308_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5l9g205x/input.p',i_0_1631) ).

cnf(i_0_1630,negated_conjecture,
    l3_lattices(esk308_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5l9g205x/input.p',i_0_1630) ).

cnf(i_0_1632,negated_conjecture,
    ~ v3_struct_0(esk308_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5l9g205x/input.p',i_0_1632) ).

cnf(i_0_339,plain,
    ( v1_xboole_0(X1)
    | v3_struct_0(X2)
    | m1_filter_0(X1,X2)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ r2_hidden(esk66_2(X2,X1),X1)
    | ~ r2_hidden(esk67_2(X2,X1),X1)
    | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
    | ~ r2_hidden(k4_lattices(X2,esk66_2(X2,X1),esk67_2(X2,X1)),X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5l9g205x/input.p',i_0_339) ).

cnf(i_0_1628,negated_conjecture,
    ( r2_hidden(k4_lattices(esk308_0,X1,X2),esk309_0)
    | ~ r2_hidden(X2,esk309_0)
    | ~ r2_hidden(X1,esk309_0)
    | ~ m1_subset_1(X2,u1_struct_0(esk308_0))
    | ~ m1_subset_1(X1,u1_struct_0(esk308_0)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5l9g205x/input.p',i_0_1628) ).

cnf(i_0_1627,negated_conjecture,
    ( r2_hidden(X1,esk309_0)
    | ~ m1_subset_1(X2,u1_struct_0(esk308_0))
    | ~ m1_subset_1(X1,u1_struct_0(esk308_0))
    | ~ r2_hidden(k4_lattices(esk308_0,X1,X2),esk309_0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5l9g205x/input.p',i_0_1627) ).

cnf(i_0_338,plain,
    ( v1_xboole_0(X1)
    | v3_struct_0(X2)
    | m1_filter_0(X1,X2)
    | r2_hidden(esk66_2(X2,X1),X1)
    | r2_hidden(k4_lattices(X2,esk66_2(X2,X1),esk67_2(X2,X1)),X1)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5l9g205x/input.p',i_0_338) ).

cnf(i_0_1626,negated_conjecture,
    ( r2_hidden(X1,esk309_0)
    | ~ m1_subset_1(X2,u1_struct_0(esk308_0))
    | ~ m1_subset_1(X1,u1_struct_0(esk308_0))
    | ~ r2_hidden(k4_lattices(esk308_0,X2,X1),esk309_0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5l9g205x/input.p',i_0_1626) ).

cnf(i_0_337,plain,
    ( v1_xboole_0(X1)
    | v3_struct_0(X2)
    | m1_filter_0(X1,X2)
    | r2_hidden(esk67_2(X2,X1),X1)
    | r2_hidden(k4_lattices(X2,esk66_2(X2,X1),esk67_2(X2,X1)),X1)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5l9g205x/input.p',i_0_337) ).

cnf(i_0_341,plain,
    ( v1_xboole_0(X1)
    | v3_struct_0(X2)
    | m1_filter_0(X1,X2)
    | m1_subset_1(esk66_2(X2,X1),u1_struct_0(X2))
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5l9g205x/input.p',i_0_341) ).

cnf(i_0_340,plain,
    ( v1_xboole_0(X1)
    | v3_struct_0(X2)
    | m1_filter_0(X1,X2)
    | m1_subset_1(esk67_2(X2,X1),u1_struct_0(X2))
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5l9g205x/input.p',i_0_340) ).

cnf(c_0_3353,plain,
    ( ~ v1_xboole_0(X1)
    | ~ r2_hidden(X2,X1) ),
    i_0_3335 ).

cnf(c_0_3354,plain,
    ( v3_struct_0(X1)
    | m2_lattice4(X2,X1)
    | r2_hidden(esk6_2(X1,X2),X2)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
    i_0_157 ).

cnf(c_0_3355,plain,
    ( m1_subset_1(X1,X2)
    | ~ r2_hidden(X1,X3)
    | ~ m1_subset_1(X3,k1_zfmisc_1(X2)) ),
    i_0_2765 ).

cnf(c_0_3356,negated_conjecture,
    m1_subset_1(esk309_0,k1_zfmisc_1(u1_struct_0(esk308_0))),
    i_0_1629 ).

cnf(c_0_3357,negated_conjecture,
    ~ m2_lattice4(esk309_0,esk308_0),
    i_0_1625 ).

cnf(c_0_3358,plain,
    ( v3_struct_0(X1)
    | m2_lattice4(X2,X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ m1_filter_0(X2,X1) ),
    i_0_1488 ).

cnf(c_0_3359,negated_conjecture,
    v10_lattices(esk308_0),
    i_0_1631 ).

cnf(c_0_3360,negated_conjecture,
    l3_lattices(esk308_0),
    i_0_1630 ).

cnf(c_0_3361,negated_conjecture,
    ~ v3_struct_0(esk308_0),
    i_0_1632 ).

cnf(c_0_3362,plain,
    ( m2_lattice4(X1,X2)
    | v3_struct_0(X2)
    | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
    | ~ v10_lattices(X2)
    | ~ v1_xboole_0(X1)
    | ~ l3_lattices(X2) ),
    inference(spm,[status(thm)],[c_0_3353,c_0_3354]) ).

cnf(c_0_3363,plain,
    ( v1_xboole_0(X1)
    | v3_struct_0(X2)
    | m1_filter_0(X1,X2)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ r2_hidden(esk66_2(X2,X1),X1)
    | ~ r2_hidden(esk67_2(X2,X1),X1)
    | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
    | ~ r2_hidden(k4_lattices(X2,esk66_2(X2,X1),esk67_2(X2,X1)),X1) ),
    i_0_339 ).

cnf(c_0_3364,negated_conjecture,
    ( r2_hidden(k4_lattices(esk308_0,X1,X2),esk309_0)
    | ~ r2_hidden(X2,esk309_0)
    | ~ r2_hidden(X1,esk309_0)
    | ~ m1_subset_1(X2,u1_struct_0(esk308_0))
    | ~ m1_subset_1(X1,u1_struct_0(esk308_0)) ),
    i_0_1628 ).

cnf(c_0_3365,negated_conjecture,
    ( m1_subset_1(X1,u1_struct_0(esk308_0))
    | ~ r2_hidden(X1,esk309_0) ),
    inference(spm,[status(thm)],[c_0_3355,c_0_3356]) ).

cnf(c_0_3366,negated_conjecture,
    ( r2_hidden(X1,esk309_0)
    | ~ m1_subset_1(X2,u1_struct_0(esk308_0))
    | ~ m1_subset_1(X1,u1_struct_0(esk308_0))
    | ~ r2_hidden(k4_lattices(esk308_0,X1,X2),esk309_0) ),
    i_0_1627 ).

cnf(c_0_3367,plain,
    ( v1_xboole_0(X1)
    | v3_struct_0(X2)
    | m1_filter_0(X1,X2)
    | r2_hidden(esk66_2(X2,X1),X1)
    | r2_hidden(k4_lattices(X2,esk66_2(X2,X1),esk67_2(X2,X1)),X1)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2))) ),
    i_0_338 ).

cnf(c_0_3368,negated_conjecture,
    ~ m1_filter_0(esk309_0,esk308_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3357,c_0_3358]),c_0_3359]),c_0_3360])]),c_0_3361]) ).

cnf(c_0_3369,negated_conjecture,
    ~ v1_xboole_0(esk309_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_3357,c_0_3362]),c_0_3356]),c_0_3359]),c_0_3360])]),c_0_3361]) ).

cnf(c_0_3370,plain,
    ( m1_filter_0(X1,X2)
    | v3_struct_0(X2)
    | ~ r2_hidden(k4_lattices(X2,esk66_2(X2,X1),esk67_2(X2,X1)),X1)
    | ~ r2_hidden(esk66_2(X2,X1),X1)
    | ~ r2_hidden(esk67_2(X2,X1),X1)
    | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
    | ~ v10_lattices(X2)
    | ~ l3_lattices(X2) ),
    inference(csr,[status(thm)],[c_0_3363,c_0_3353]) ).

cnf(c_0_3371,negated_conjecture,
    ( r2_hidden(k4_lattices(esk308_0,X1,X2),esk309_0)
    | ~ r2_hidden(X2,esk309_0)
    | ~ r2_hidden(X1,esk309_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_3364,c_0_3365]),c_0_3365]) ).

cnf(c_0_3372,negated_conjecture,
    ( r2_hidden(esk66_2(esk308_0,esk309_0),esk309_0)
    | ~ m1_subset_1(esk67_2(esk308_0,esk309_0),u1_struct_0(esk308_0))
    | ~ m1_subset_1(esk66_2(esk308_0,esk309_0),u1_struct_0(esk308_0)) ),
    inference(sr,[status(thm)],[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_3366,c_0_3367]),c_0_3356]),c_0_3359]),c_0_3360])]),c_0_3361]),c_0_3368]),c_0_3369]) ).

cnf(c_0_3373,negated_conjecture,
    ( ~ r2_hidden(esk66_2(esk308_0,esk309_0),esk309_0)
    | ~ r2_hidden(esk67_2(esk308_0,esk309_0),esk309_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_3370,c_0_3371]),c_0_3356]),c_0_3359]),c_0_3360])]),c_0_3368]),c_0_3361]) ).

cnf(c_0_3374,negated_conjecture,
    ( r2_hidden(X1,esk309_0)
    | ~ m1_subset_1(X2,u1_struct_0(esk308_0))
    | ~ m1_subset_1(X1,u1_struct_0(esk308_0))
    | ~ r2_hidden(k4_lattices(esk308_0,X2,X1),esk309_0) ),
    i_0_1626 ).

cnf(c_0_3375,plain,
    ( v1_xboole_0(X1)
    | v3_struct_0(X2)
    | m1_filter_0(X1,X2)
    | r2_hidden(esk67_2(X2,X1),X1)
    | r2_hidden(k4_lattices(X2,esk66_2(X2,X1),esk67_2(X2,X1)),X1)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2))) ),
    i_0_337 ).

cnf(c_0_3376,negated_conjecture,
    ( ~ r2_hidden(esk67_2(esk308_0,esk309_0),esk309_0)
    | ~ m1_subset_1(esk66_2(esk308_0,esk309_0),u1_struct_0(esk308_0)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3372,c_0_3365]),c_0_3373]) ).

cnf(c_0_3377,plain,
    ( v1_xboole_0(X1)
    | v3_struct_0(X2)
    | m1_filter_0(X1,X2)
    | m1_subset_1(esk66_2(X2,X1),u1_struct_0(X2))
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2))) ),
    i_0_341 ).

cnf(c_0_3378,negated_conjecture,
    ( r2_hidden(esk67_2(esk308_0,esk309_0),esk309_0)
    | ~ m1_subset_1(esk66_2(esk308_0,esk309_0),u1_struct_0(esk308_0))
    | ~ m1_subset_1(esk67_2(esk308_0,esk309_0),u1_struct_0(esk308_0)) ),
    inference(sr,[status(thm)],[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_3374,c_0_3375]),c_0_3356]),c_0_3359]),c_0_3360])]),c_0_3361]),c_0_3368]),c_0_3369]) ).

cnf(c_0_3379,plain,
    ( v1_xboole_0(X1)
    | v3_struct_0(X2)
    | m1_filter_0(X1,X2)
    | m1_subset_1(esk67_2(X2,X1),u1_struct_0(X2))
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2))) ),
    i_0_340 ).

cnf(c_0_3380,plain,
    ~ r2_hidden(esk67_2(esk308_0,esk309_0),esk309_0),
    inference(sr,[status(thm)],[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_3376,c_0_3377]),c_0_3356]),c_0_3359]),c_0_3360])]),c_0_3368]),c_0_3361]),c_0_3369]) ).

cnf(c_0_3381,plain,
    ~ m1_subset_1(esk66_2(esk308_0,esk309_0),u1_struct_0(esk308_0)),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[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_3378,c_0_3379]),c_0_3356]),c_0_3359]),c_0_3360])]),c_0_3368]),c_0_3361]),c_0_3369]),c_0_3380]) ).

cnf(c_0_3382,plain,
    $false,
    inference(sr,[status(thm)],[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_3381,c_0_3377]),c_0_3356]),c_0_3359]),c_0_3360])]),c_0_3368]),c_0_3361]),c_0_3369]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12  % Problem  : LAT297+2 : TPTP v8.1.0. Released v3.4.0.
% 0.08/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n013.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 21:32:16 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.45  # ENIGMATIC: Selected SinE mode:
% 0.35/0.57  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.35/0.57  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.35/0.57  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.35/0.57  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 30.07/6.28  # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d45-l8000-e0.15+coop-mzr02:
% 30.07/6.28  # ENIGMA: LightGBM model '/export/starexec/sandbox/solver/bin/data/Enigma/tptp-cade20-model03-h2e15/lgb-t150-d45-l8000-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 66; version: 991; iters: 150)
% 30.07/6.28  # Preprocessing time       : 2.487 s
% 30.07/6.28  
% 30.07/6.28  # Proof found!
% 30.07/6.28  # SZS status Theorem
% 30.07/6.28  # SZS output start CNFRefutation
% See solution above
% 30.07/6.28  # Training examples: 0 positive, 0 negative
% 30.07/6.28  
% 30.07/6.28  # -------------------------------------------------
% 30.07/6.28  # User time                : 2.454 s
% 30.07/6.28  # System time              : 0.148 s
% 30.07/6.28  # Total time               : 2.602 s
% 30.07/6.28  # ...preprocessing         : 2.487 s
% 30.07/6.28  # ...main loop             : 0.115 s
% 30.07/6.28  # Maximum resident set size: 185640 pages
% 30.07/6.28  
%------------------------------------------------------------------------------