TSTP Solution File: LAT291+1 by Enigma---0.5.1

View Problem - Process Solution

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

% Computer : n008.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 04:28:57 EDT 2022

% Result   : Theorem 8.59s 2.55s
% Output   : CNFRefutation 8.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   12
% Syntax   : Number of clauses     :   29 (  18 unt;   9 nHn;  27 RR)
%            Number of literals    :   67 (  12 equ;  31 neg)
%            Maximal clause size   :    7 (   2 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    9 (   7 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   2 con; 0-4 aty)
%            Number of variables   :   15 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_99,plain,
    ( v3_struct_0(X1)
    | m1_subset_1(k5_lattices(X1),u1_struct_0(X1))
    | ~ l1_lattices(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_ooj4rg6/lgb.p',i_0_99) ).

cnf(i_0_113,plain,
    ( l1_lattices(X1)
    | ~ l3_lattices(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_ooj4rg6/lgb.p',i_0_113) ).

cnf(i_0_2,negated_conjecture,
    l3_lattices(esk1_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_ooj4rg6/lgb.p',i_0_2) ).

cnf(i_0_6,negated_conjecture,
    ~ v3_struct_0(esk1_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_ooj4rg6/lgb.p',i_0_6) ).

cnf(i_0_213,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)
    | ~ v10_lattices(X1)
    | ~ v17_lattices(X1)
    | ~ l3_lattices(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_ooj4rg6/lgb.p',i_0_213) ).

cnf(i_0_4,negated_conjecture,
    v17_lattices(esk1_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_ooj4rg6/lgb.p',i_0_4) ).

cnf(i_0_5,negated_conjecture,
    v10_lattices(esk1_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_ooj4rg6/lgb.p',i_0_5) ).

cnf(i_0_3,negated_conjecture,
    ~ v3_realset2(esk1_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_ooj4rg6/lgb.p',i_0_3) ).

cnf(i_0_214,plain,
    ( k7_lattices(X1,k5_lattices(X1)) = k6_lattices(X1)
    | v3_struct_0(X1)
    | ~ v10_lattices(X1)
    | ~ v17_lattices(X1)
    | ~ l3_lattices(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_ooj4rg6/lgb.p',i_0_214) ).

cnf(i_0_209,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)
    | ~ v10_lattices(X1)
    | ~ v17_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ m1_subset_1(X2,u1_struct_0(X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_ooj4rg6/lgb.p',i_0_209) ).

cnf(i_0_215,plain,
    k4_xboole_0(X1,k1_xboole_0) = X1,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_ooj4rg6/lgb.p',i_0_215) ).

cnf(i_0_1,negated_conjecture,
    k8_funct_2(u1_struct_0(esk1_0),k1_zfmisc_1(k7_lopclset(esk1_0)),k9_lopclset(esk1_0),k6_lattices(esk1_0)) != k7_lopclset(esk1_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_ooj4rg6/lgb.p',i_0_1) ).

cnf(c_0_228,plain,
    ( v3_struct_0(X1)
    | m1_subset_1(k5_lattices(X1),u1_struct_0(X1))
    | ~ l1_lattices(X1) ),
    i_0_99 ).

cnf(c_0_229,plain,
    ( l1_lattices(X1)
    | ~ l3_lattices(X1) ),
    i_0_113 ).

cnf(c_0_230,plain,
    ( m1_subset_1(k5_lattices(X1),u1_struct_0(X1))
    | v3_struct_0(X1)
    | ~ l3_lattices(X1) ),
    inference(spm,[status(thm)],[c_0_228,c_0_229]) ).

cnf(c_0_231,negated_conjecture,
    l3_lattices(esk1_0),
    i_0_2 ).

cnf(c_0_232,negated_conjecture,
    ~ v3_struct_0(esk1_0),
    i_0_6 ).

cnf(c_0_233,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)
    | ~ v10_lattices(X1)
    | ~ v17_lattices(X1)
    | ~ l3_lattices(X1) ),
    i_0_213 ).

cnf(c_0_234,negated_conjecture,
    v17_lattices(esk1_0),
    i_0_4 ).

cnf(c_0_235,negated_conjecture,
    v10_lattices(esk1_0),
    i_0_5 ).

cnf(c_0_236,negated_conjecture,
    ~ v3_realset2(esk1_0),
    i_0_3 ).

cnf(c_0_237,plain,
    ( k7_lattices(X1,k5_lattices(X1)) = k6_lattices(X1)
    | v3_struct_0(X1)
    | ~ v10_lattices(X1)
    | ~ v17_lattices(X1)
    | ~ l3_lattices(X1) ),
    i_0_214 ).

cnf(c_0_238,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)
    | ~ v10_lattices(X1)
    | ~ v17_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ m1_subset_1(X2,u1_struct_0(X1)) ),
    i_0_209 ).

cnf(c_0_239,negated_conjecture,
    m1_subset_1(k5_lattices(esk1_0),u1_struct_0(esk1_0)),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_230,c_0_231]),c_0_232]) ).

cnf(c_0_240,negated_conjecture,
    k8_funct_2(u1_struct_0(esk1_0),k1_zfmisc_1(k7_lopclset(esk1_0)),k9_lopclset(esk1_0),k5_lattices(esk1_0)) = k1_xboole_0,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_233,c_0_231]),c_0_234]),c_0_235])]),c_0_236]),c_0_232]) ).

cnf(c_0_241,plain,
    k4_xboole_0(X1,k1_xboole_0) = X1,
    i_0_215 ).

cnf(c_0_242,negated_conjecture,
    k7_lattices(esk1_0,k5_lattices(esk1_0)) = k6_lattices(esk1_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_237,c_0_231]),c_0_234]),c_0_235])]),c_0_232]) ).

cnf(c_0_243,negated_conjecture,
    k8_funct_2(u1_struct_0(esk1_0),k1_zfmisc_1(k7_lopclset(esk1_0)),k9_lopclset(esk1_0),k6_lattices(esk1_0)) != k7_lopclset(esk1_0),
    i_0_1 ).

cnf(c_0_244,negated_conjecture,
    $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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_238,c_0_239]),c_0_240]),c_0_241]),c_0_242]),c_0_231]),c_0_234]),c_0_235])]),c_0_243]),c_0_236]),c_0_232]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : LAT291+1 : TPTP v8.1.0. Released v3.4.0.
% 0.08/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.14/0.35  % Computer : n008.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Thu Jun 30 11:55:24 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.20/0.46  # ENIGMATIC: Selected complete mode:
% 8.59/2.55  # ENIGMATIC: Solved by autoschedule-lgb:
% 8.59/2.55  # No SInE strategy applied
% 8.59/2.55  # Trying AutoSched0 for 150 seconds
% 8.59/2.55  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 8.59/2.55  # and selection function SelectComplexExceptUniqMaxHorn.
% 8.59/2.55  #
% 8.59/2.55  # Preprocessing time       : 0.025 s
% 8.59/2.55  # Presaturation interreduction done
% 8.59/2.55  
% 8.59/2.55  # Proof found!
% 8.59/2.55  # SZS status Theorem
% 8.59/2.55  # SZS output start CNFRefutation
% See solution above
% 8.59/2.55  # Training examples: 0 positive, 0 negative
% 8.59/2.55  
% 8.59/2.55  # -------------------------------------------------
% 8.59/2.55  # User time                : 0.041 s
% 8.59/2.55  # System time              : 0.005 s
% 8.59/2.55  # Total time               : 0.046 s
% 8.59/2.55  # Maximum resident set size: 7124 pages
% 8.59/2.55  
%------------------------------------------------------------------------------