TSTP Solution File: LAT305+2 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : LAT305+2 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n017.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 04:29:15 EDT 2022

% Result   : Theorem 6.07s 3.54s
% Output   : CNFRefutation 6.07s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   14
% Syntax   : Number of clauses     :   37 (  14 unt;  16 nHn;  37 RR)
%            Number of literals    :  133 (   0 equ;  89 neg)
%            Maximal clause size   :    8 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   11 (  10 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-3 aty)
%            Number of variables   :   41 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_2236,negated_conjecture,
    ( ~ r2_hidden(esk432_0,k18_filter_2(esk431_0,esk432_0))
    | ~ r2_hidden(k4_lattices(esk431_0,esk432_0,esk433_0),k18_filter_2(esk431_0,esk432_0))
    | ~ r2_hidden(k4_lattices(esk431_0,esk433_0,esk432_0),k18_filter_2(esk431_0,esk432_0)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f67_wt40/lgb.p',i_0_2236) ).

cnf(i_0_2001,plain,
    ( v3_struct_0(X1)
    | r2_hidden(k4_lattices(X1,X2,X3),X4)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ r2_hidden(X3,X4)
    | ~ m2_filter_2(X4,X1)
    | ~ m1_subset_1(X3,u1_struct_0(X1))
    | ~ m1_subset_1(X2,u1_struct_0(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f67_wt40/lgb.p',i_0_2001) ).

cnf(i_0_2240,negated_conjecture,
    v10_lattices(esk431_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f67_wt40/lgb.p',i_0_2240) ).

cnf(i_0_2239,negated_conjecture,
    l3_lattices(esk431_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f67_wt40/lgb.p',i_0_2239) ).

cnf(i_0_2238,negated_conjecture,
    m1_subset_1(esk432_0,u1_struct_0(esk431_0)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f67_wt40/lgb.p',i_0_2238) ).

cnf(i_0_2237,negated_conjecture,
    m1_subset_1(esk433_0,u1_struct_0(esk431_0)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f67_wt40/lgb.p',i_0_2237) ).

cnf(i_0_2241,negated_conjecture,
    ~ v3_struct_0(esk431_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f67_wt40/lgb.p',i_0_2241) ).

cnf(i_0_2002,plain,
    ( v3_struct_0(X1)
    | r2_hidden(k4_lattices(X1,X2,X3),X4)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ r2_hidden(X2,X4)
    | ~ m2_filter_2(X4,X1)
    | ~ m1_subset_1(X3,u1_struct_0(X1))
    | ~ m1_subset_1(X2,u1_struct_0(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f67_wt40/lgb.p',i_0_2002) ).

cnf(i_0_1225,plain,
    ( v3_struct_0(X1)
    | r3_lattices(X1,X2,X2)
    | ~ l3_lattices(X1)
    | ~ v6_lattices(X1)
    | ~ v8_lattices(X1)
    | ~ v9_lattices(X1)
    | ~ m1_subset_1(X3,u1_struct_0(X1))
    | ~ m1_subset_1(X2,u1_struct_0(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f67_wt40/lgb.p',i_0_1225) ).

cnf(i_0_736,plain,
    ( v3_struct_0(X1)
    | m2_filter_2(k18_filter_2(X1,X2),X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ m1_subset_1(X2,u1_struct_0(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f67_wt40/lgb.p',i_0_736) ).

cnf(i_0_21,plain,
    ( v3_struct_0(X1)
    | v9_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f67_wt40/lgb.p',i_0_21) ).

cnf(i_0_2140,plain,
    ( v3_struct_0(X1)
    | r2_hidden(X2,k18_filter_2(X1,X3))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ r3_lattices(X1,X2,X3)
    | ~ m1_subset_1(X3,u1_struct_0(X1))
    | ~ m1_subset_1(X2,u1_struct_0(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f67_wt40/lgb.p',i_0_2140) ).

cnf(i_0_22,plain,
    ( v3_struct_0(X1)
    | v8_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f67_wt40/lgb.p',i_0_22) ).

cnf(i_0_24,plain,
    ( v3_struct_0(X1)
    | v6_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-f67_wt40/lgb.p',i_0_24) ).

cnf(c_0_2256,negated_conjecture,
    ( ~ r2_hidden(esk432_0,k18_filter_2(esk431_0,esk432_0))
    | ~ r2_hidden(k4_lattices(esk431_0,esk432_0,esk433_0),k18_filter_2(esk431_0,esk432_0))
    | ~ r2_hidden(k4_lattices(esk431_0,esk433_0,esk432_0),k18_filter_2(esk431_0,esk432_0)) ),
    i_0_2236 ).

cnf(c_0_2257,plain,
    ( v3_struct_0(X1)
    | r2_hidden(k4_lattices(X1,X2,X3),X4)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ r2_hidden(X3,X4)
    | ~ m2_filter_2(X4,X1)
    | ~ m1_subset_1(X3,u1_struct_0(X1))
    | ~ m1_subset_1(X2,u1_struct_0(X1)) ),
    i_0_2001 ).

cnf(c_0_2258,negated_conjecture,
    v10_lattices(esk431_0),
    i_0_2240 ).

cnf(c_0_2259,negated_conjecture,
    l3_lattices(esk431_0),
    i_0_2239 ).

cnf(c_0_2260,negated_conjecture,
    m1_subset_1(esk432_0,u1_struct_0(esk431_0)),
    i_0_2238 ).

cnf(c_0_2261,negated_conjecture,
    m1_subset_1(esk433_0,u1_struct_0(esk431_0)),
    i_0_2237 ).

cnf(c_0_2262,negated_conjecture,
    ~ v3_struct_0(esk431_0),
    i_0_2241 ).

cnf(c_0_2263,negated_conjecture,
    ( ~ m2_filter_2(k18_filter_2(esk431_0,esk432_0),esk431_0)
    | ~ r2_hidden(k4_lattices(esk431_0,esk432_0,esk433_0),k18_filter_2(esk431_0,esk432_0))
    | ~ r2_hidden(esk432_0,k18_filter_2(esk431_0,esk432_0)) ),
    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_2256,c_0_2257]),c_0_2258]),c_0_2259]),c_0_2260]),c_0_2261])]),c_0_2262]) ).

cnf(c_0_2264,plain,
    ( v3_struct_0(X1)
    | r2_hidden(k4_lattices(X1,X2,X3),X4)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ r2_hidden(X2,X4)
    | ~ m2_filter_2(X4,X1)
    | ~ m1_subset_1(X3,u1_struct_0(X1))
    | ~ m1_subset_1(X2,u1_struct_0(X1)) ),
    i_0_2002 ).

cnf(c_0_2265,plain,
    ( v3_struct_0(X1)
    | r3_lattices(X1,X2,X2)
    | ~ l3_lattices(X1)
    | ~ v6_lattices(X1)
    | ~ v8_lattices(X1)
    | ~ v9_lattices(X1)
    | ~ m1_subset_1(X3,u1_struct_0(X1))
    | ~ m1_subset_1(X2,u1_struct_0(X1)) ),
    i_0_1225 ).

cnf(c_0_2266,plain,
    ( ~ m2_filter_2(k18_filter_2(esk431_0,esk432_0),esk431_0)
    | ~ r2_hidden(esk432_0,k18_filter_2(esk431_0,esk432_0)) ),
    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_2263,c_0_2264]),c_0_2258]),c_0_2259]),c_0_2261]),c_0_2260])]),c_0_2262]) ).

cnf(c_0_2267,plain,
    ( v3_struct_0(X1)
    | m2_filter_2(k18_filter_2(X1,X2),X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ m1_subset_1(X2,u1_struct_0(X1)) ),
    i_0_736 ).

cnf(c_0_2268,negated_conjecture,
    ( r3_lattices(esk431_0,X1,X1)
    | ~ v9_lattices(esk431_0)
    | ~ v8_lattices(esk431_0)
    | ~ v6_lattices(esk431_0)
    | ~ m1_subset_1(X1,u1_struct_0(esk431_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2265,c_0_2261]),c_0_2259])]),c_0_2262]) ).

cnf(c_0_2269,plain,
    ( v3_struct_0(X1)
    | v9_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    i_0_21 ).

cnf(c_0_2270,plain,
    ~ r2_hidden(esk432_0,k18_filter_2(esk431_0,esk432_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_2266,c_0_2267]),c_0_2258]),c_0_2259]),c_0_2260])]),c_0_2262]) ).

cnf(c_0_2271,plain,
    ( v3_struct_0(X1)
    | r2_hidden(X2,k18_filter_2(X1,X3))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ r3_lattices(X1,X2,X3)
    | ~ m1_subset_1(X3,u1_struct_0(X1))
    | ~ m1_subset_1(X2,u1_struct_0(X1)) ),
    i_0_2140 ).

cnf(c_0_2272,plain,
    ( r3_lattices(esk431_0,X1,X1)
    | ~ v8_lattices(esk431_0)
    | ~ v6_lattices(esk431_0)
    | ~ m1_subset_1(X1,u1_struct_0(esk431_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2268,c_0_2269]),c_0_2258]),c_0_2259])]),c_0_2262]) ).

cnf(c_0_2273,plain,
    ( v3_struct_0(X1)
    | v8_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    i_0_22 ).

cnf(c_0_2274,plain,
    ~ r3_lattices(esk431_0,esk432_0,esk432_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_2270,c_0_2271]),c_0_2258]),c_0_2259]),c_0_2260])]),c_0_2262]) ).

cnf(c_0_2275,plain,
    ( r3_lattices(esk431_0,X1,X1)
    | ~ v6_lattices(esk431_0)
    | ~ m1_subset_1(X1,u1_struct_0(esk431_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2272,c_0_2273]),c_0_2258]),c_0_2259])]),c_0_2262]) ).

cnf(c_0_2276,plain,
    ~ v6_lattices(esk431_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2274,c_0_2275]),c_0_2260])]) ).

cnf(c_0_2277,plain,
    ( v3_struct_0(X1)
    | v6_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    i_0_24 ).

cnf(c_0_2278,plain,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2276,c_0_2277]),c_0_2258]),c_0_2259])]),c_0_2262]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : LAT305+2 : TPTP v8.1.0. Released v3.4.0.
% 0.11/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n017.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 23:48:24 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.45  # ENIGMATIC: Selected SinE mode:
% 0.18/0.57  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.57  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.18/0.57  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.18/0.57  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 6.07/3.54  # ENIGMATIC: Solved by autoschedule-lgb:
% 6.07/3.54  # No SInE strategy applied
% 6.07/3.54  # Trying AutoSched0 for 150 seconds
% 6.07/3.54  # AutoSched0-Mode selected heuristic G_E___302_C18_F1_URBAN_S5PRR_RG_S0Y
% 6.07/3.54  # and selection function SelectMaxLComplexAvoidPosPred.
% 6.07/3.54  #
% 6.07/3.54  # Preprocessing time       : 0.018 s
% 6.07/3.54  
% 6.07/3.54  # Proof found!
% 6.07/3.54  # SZS status Theorem
% 6.07/3.54  # SZS output start CNFRefutation
% See solution above
% 6.07/3.54  # Training examples: 0 positive, 0 negative
% 6.07/3.54  
% 6.07/3.54  # -------------------------------------------------
% 6.07/3.54  # User time                : 0.047 s
% 6.07/3.54  # System time              : 0.006 s
% 6.07/3.54  # Total time               : 0.053 s
% 6.07/3.54  # Maximum resident set size: 7128 pages
% 6.07/3.54  
%------------------------------------------------------------------------------