TSTP Solution File: LAT302+4 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : LAT302+4 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n020.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 04:29:12 EDT 2022

% Result   : Theorem 14.13s 6.55s
% Output   : CNFRefutation 14.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   19
% Syntax   : Number of clauses     :   57 (  22 unt;  20 nHn;  57 RR)
%            Number of literals    :  141 (   9 equ;  72 neg)
%            Maximal clause size   :    5 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   14 (  12 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   1 con; 0-2 aty)
%            Number of variables   :   39 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_1044,plain,
    ( l1_struct_0(X1)
    | ~ l1_lattices(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-986s_u3q/lgb.p',i_0_1044) ).

cnf(i_0_1053,plain,
    ( l1_lattices(X1)
    | ~ l3_lattices(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-986s_u3q/lgb.p',i_0_1053) ).

cnf(i_0_1007,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-986s_u3q/lgb.p',i_0_1007) ).

cnf(i_0_484,plain,
    ( v3_struct_0(X1)
    | ~ l1_struct_0(X1)
    | ~ v1_xboole_0(u1_struct_0(X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-986s_u3q/lgb.p',i_0_484) ).

cnf(i_0_3748,negated_conjecture,
    l3_lattices(esk578_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-986s_u3q/lgb.p',i_0_3748) ).

cnf(i_0_3750,negated_conjecture,
    ~ v3_struct_0(esk578_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-986s_u3q/lgb.p',i_0_3750) ).

cnf(i_0_485,plain,
    ( v1_xboole_0(u1_struct_0(X1))
    | ~ v3_struct_0(X1)
    | ~ l1_struct_0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-986s_u3q/lgb.p',i_0_485) ).

cnf(i_0_5698,plain,
    ( v3_struct_0(X1)
    | v14_lattices(k1_lattice2(X1))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ v13_lattices(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-986s_u3q/lgb.p',i_0_5698) ).

cnf(i_0_3747,negated_conjecture,
    v13_lattices(esk578_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-986s_u3q/lgb.p',i_0_3747) ).

cnf(i_0_3749,negated_conjecture,
    v10_lattices(esk578_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-986s_u3q/lgb.p',i_0_3749) ).

cnf(i_0_3004,plain,
    ( u1_struct_0(k1_lattice2(X1)) = u1_struct_0(X1)
    | v3_struct_0(X1)
    | ~ l3_lattices(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-986s_u3q/lgb.p',i_0_3004) ).

cnf(i_0_6166,plain,
    ( k6_lattices(k1_lattice2(X1)) = k5_lattices(X1)
    | v3_struct_0(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ v13_lattices(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-986s_u3q/lgb.p',i_0_6166) ).

cnf(i_0_1990,plain,
    ( k6_domain_1(X1,X2) = k1_tarski(X2)
    | v1_xboole_0(X1)
    | ~ m1_subset_1(X2,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-986s_u3q/lgb.p',i_0_1990) ).

cnf(i_0_1432,plain,
    ( v3_struct_0(X1)
    | v10_lattices(k1_lattice2(X1))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-986s_u3q/lgb.p',i_0_1432) ).

cnf(i_0_957,plain,
    ( l3_lattices(k1_lattice2(X1))
    | ~ l3_lattices(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-986s_u3q/lgb.p',i_0_957) ).

cnf(i_0_2458,plain,
    ( v3_struct_0(X1)
    | m1_filter_0(k6_domain_1(u1_struct_0(X1),k6_lattices(X1)),X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ v14_lattices(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-986s_u3q/lgb.p',i_0_2458) ).

cnf(i_0_1994,plain,
    ( v3_struct_0(X1)
    | m1_filter_2(X2,X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ m1_filter_0(X2,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-986s_u3q/lgb.p',i_0_1994) ).

cnf(i_0_3746,negated_conjecture,
    ~ m2_filter_2(k6_domain_1(u1_struct_0(esk578_0),k5_lattices(esk578_0)),esk578_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-986s_u3q/lgb.p',i_0_3746) ).

cnf(i_0_3344,plain,
    ( v3_struct_0(X1)
    | m2_filter_2(X2,X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ m1_filter_2(X2,k1_lattice2(X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-986s_u3q/lgb.p',i_0_3344) ).

cnf(c_0_6186,plain,
    ( l1_struct_0(X1)
    | ~ l1_lattices(X1) ),
    i_0_1044 ).

cnf(c_0_6187,plain,
    ( l1_lattices(X1)
    | ~ l3_lattices(X1) ),
    i_0_1053 ).

cnf(c_0_6188,plain,
    ( v3_struct_0(X1)
    | m1_subset_1(k5_lattices(X1),u1_struct_0(X1))
    | ~ l1_lattices(X1) ),
    i_0_1007 ).

cnf(c_0_6189,plain,
    ( v3_struct_0(X1)
    | ~ l1_struct_0(X1)
    | ~ v1_xboole_0(u1_struct_0(X1)) ),
    i_0_484 ).

cnf(c_0_6190,plain,
    ( l1_struct_0(X1)
    | ~ l3_lattices(X1) ),
    inference(spm,[status(thm)],[c_0_6186,c_0_6187]) ).

cnf(c_0_6191,plain,
    ( v3_struct_0(X1)
    | m1_subset_1(k5_lattices(X1),u1_struct_0(X1))
    | ~ l3_lattices(X1) ),
    inference(spm,[status(thm)],[c_0_6188,c_0_6187]) ).

cnf(c_0_6192,negated_conjecture,
    l3_lattices(esk578_0),
    i_0_3748 ).

cnf(c_0_6193,negated_conjecture,
    ~ v3_struct_0(esk578_0),
    i_0_3750 ).

cnf(c_0_6194,plain,
    ( v3_struct_0(X1)
    | ~ v1_xboole_0(u1_struct_0(X1))
    | ~ l3_lattices(X1) ),
    inference(spm,[status(thm)],[c_0_6189,c_0_6190]) ).

cnf(c_0_6195,plain,
    ( v1_xboole_0(u1_struct_0(X1))
    | ~ v3_struct_0(X1)
    | ~ l1_struct_0(X1) ),
    i_0_485 ).

cnf(c_0_6196,plain,
    ( v3_struct_0(X1)
    | v14_lattices(k1_lattice2(X1))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ v13_lattices(X1) ),
    i_0_5698 ).

cnf(c_0_6197,negated_conjecture,
    v13_lattices(esk578_0),
    i_0_3747 ).

cnf(c_0_6198,negated_conjecture,
    v10_lattices(esk578_0),
    i_0_3749 ).

cnf(c_0_6199,plain,
    ( u1_struct_0(k1_lattice2(X1)) = u1_struct_0(X1)
    | v3_struct_0(X1)
    | ~ l3_lattices(X1) ),
    i_0_3004 ).

cnf(c_0_6200,plain,
    ( k6_lattices(k1_lattice2(X1)) = k5_lattices(X1)
    | v3_struct_0(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ v13_lattices(X1) ),
    i_0_6166 ).

cnf(c_0_6201,plain,
    ( k6_domain_1(X1,X2) = k1_tarski(X2)
    | v1_xboole_0(X1)
    | ~ m1_subset_1(X2,X1) ),
    i_0_1990 ).

cnf(c_0_6202,negated_conjecture,
    m1_subset_1(k5_lattices(esk578_0),u1_struct_0(esk578_0)),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_6191,c_0_6192]),c_0_6193]) ).

cnf(c_0_6203,negated_conjecture,
    ~ v1_xboole_0(u1_struct_0(esk578_0)),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_6194,c_0_6192]),c_0_6193]) ).

cnf(c_0_6204,plain,
    ( v3_struct_0(X1)
    | v10_lattices(k1_lattice2(X1))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    i_0_1432 ).

cnf(c_0_6205,plain,
    ( v1_xboole_0(u1_struct_0(X1))
    | ~ l3_lattices(X1)
    | ~ v3_struct_0(X1) ),
    inference(spm,[status(thm)],[c_0_6195,c_0_6190]) ).

cnf(c_0_6206,plain,
    ( l3_lattices(k1_lattice2(X1))
    | ~ l3_lattices(X1) ),
    i_0_957 ).

cnf(c_0_6207,plain,
    ( v3_struct_0(X1)
    | m1_filter_0(k6_domain_1(u1_struct_0(X1),k6_lattices(X1)),X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ v14_lattices(X1) ),
    i_0_2458 ).

cnf(c_0_6208,negated_conjecture,
    v14_lattices(k1_lattice2(esk578_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6196,c_0_6197]),c_0_6192]),c_0_6198])]),c_0_6193]) ).

cnf(c_0_6209,negated_conjecture,
    u1_struct_0(k1_lattice2(esk578_0)) = u1_struct_0(esk578_0),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_6199,c_0_6192]),c_0_6193]) ).

cnf(c_0_6210,negated_conjecture,
    k6_lattices(k1_lattice2(esk578_0)) = k5_lattices(esk578_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6200,c_0_6197]),c_0_6192]),c_0_6198])]),c_0_6193]) ).

cnf(c_0_6211,negated_conjecture,
    k6_domain_1(u1_struct_0(esk578_0),k5_lattices(esk578_0)) = k1_tarski(k5_lattices(esk578_0)),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_6201,c_0_6202]),c_0_6203]) ).

cnf(c_0_6212,negated_conjecture,
    v10_lattices(k1_lattice2(esk578_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6204,c_0_6192]),c_0_6198])]),c_0_6193]) ).

cnf(c_0_6213,plain,
    ( v1_xboole_0(u1_struct_0(k1_lattice2(X1)))
    | ~ l3_lattices(X1)
    | ~ v3_struct_0(k1_lattice2(X1)) ),
    inference(spm,[status(thm)],[c_0_6205,c_0_6206]) ).

cnf(c_0_6214,negated_conjecture,
    ( m1_filter_0(k1_tarski(k5_lattices(esk578_0)),k1_lattice2(esk578_0))
    | v3_struct_0(k1_lattice2(esk578_0))
    | ~ l3_lattices(k1_lattice2(esk578_0)) ),
    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_6207,c_0_6208]),c_0_6209]),c_0_6210]),c_0_6211]),c_0_6212])]) ).

cnf(c_0_6215,negated_conjecture,
    ~ v3_struct_0(k1_lattice2(esk578_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6213,c_0_6209]),c_0_6192])]),c_0_6203]) ).

cnf(c_0_6216,plain,
    ( v3_struct_0(X1)
    | m1_filter_2(X2,X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ m1_filter_0(X2,X1) ),
    i_0_1994 ).

cnf(c_0_6217,plain,
    m1_filter_0(k1_tarski(k5_lattices(esk578_0)),k1_lattice2(esk578_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6214,c_0_6206]),c_0_6192])]),c_0_6215]) ).

cnf(c_0_6218,negated_conjecture,
    ~ m2_filter_2(k6_domain_1(u1_struct_0(esk578_0),k5_lattices(esk578_0)),esk578_0),
    i_0_3746 ).

cnf(c_0_6219,plain,
    ( v3_struct_0(X1)
    | m2_filter_2(X2,X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ m1_filter_2(X2,k1_lattice2(X1)) ),
    i_0_3344 ).

cnf(c_0_6220,plain,
    ( m1_filter_2(k1_tarski(k5_lattices(esk578_0)),k1_lattice2(esk578_0))
    | ~ l3_lattices(k1_lattice2(esk578_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6216,c_0_6217]),c_0_6212])]),c_0_6215]) ).

cnf(c_0_6221,negated_conjecture,
    ~ m2_filter_2(k1_tarski(k5_lattices(esk578_0)),esk578_0),
    inference(rw,[status(thm)],[c_0_6218,c_0_6211]) ).

cnf(c_0_6222,plain,
    ~ l3_lattices(k1_lattice2(esk578_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_6219,c_0_6220]),c_0_6192]),c_0_6198])]),c_0_6193]),c_0_6221]) ).

cnf(c_0_6223,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6222,c_0_6206]),c_0_6192])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : LAT302+4 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.33  % Computer : n020.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Wed Jun 29 21:34:38 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.19/0.44  # ENIGMATIC: Selected SinE mode:
% 1.40/1.63  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.40/1.63  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 1.40/1.63  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 1.40/1.63  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 14.13/6.55  # ENIGMATIC: Solved by autoschedule-lgb:
% 14.13/6.55  # No SInE strategy applied
% 14.13/6.55  # Trying AutoSched0 for 148 seconds
% 14.13/6.55  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 14.13/6.55  # and selection function SelectComplexExceptUniqMaxHorn.
% 14.13/6.55  #
% 14.13/6.55  # Preprocessing time       : 0.036 s
% 14.13/6.55  # Presaturation interreduction done
% 14.13/6.55  
% 14.13/6.55  # Proof found!
% 14.13/6.55  # SZS status Theorem
% 14.13/6.55  # SZS output start CNFRefutation
% See solution above
% 14.13/6.55  # Training examples: 0 positive, 0 negative
% 14.13/6.55  
% 14.13/6.55  # -------------------------------------------------
% 14.13/6.55  # User time                : 0.347 s
% 14.13/6.55  # System time              : 0.020 s
% 14.13/6.55  # Total time               : 0.367 s
% 14.13/6.55  # Maximum resident set size: 7124 pages
% 14.13/6.55  
%------------------------------------------------------------------------------