TSTP Solution File: LAT301+4 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : LAT301+4 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n019.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 04:29:11 EDT 2022

% Result   : Theorem 12.63s 5.94s
% Output   : CNFRefutation 12.63s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   19
% Syntax   : Number of clauses     :   54 (  21 unt;  14 nHn;  54 RR)
%            Number of literals    :  134 (   6 equ;  74 neg)
%            Maximal clause size   :    6 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   14 (  12 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   2 con; 0-1 aty)
%            Number of variables   :   35 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_1011,plain,
    ( l1_struct_0(X1)
    | ~ l2_lattices(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-w8wt0isa/lgb.p',i_0_1011) ).

cnf(i_0_1013,plain,
    ( l2_lattices(X1)
    | ~ l3_lattices(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-w8wt0isa/lgb.p',i_0_1013) ).

cnf(i_0_430,plain,
    ( v3_struct_0(X1)
    | ~ l1_struct_0(X1)
    | ~ v1_xboole_0(u1_struct_0(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-w8wt0isa/lgb.p',i_0_430) ).

cnf(i_0_2842,plain,
    ( u1_struct_0(k1_lattice2(X1)) = u1_struct_0(X1)
    | v3_struct_0(X1)
    | ~ l3_lattices(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-w8wt0isa/lgb.p',i_0_2842) ).

cnf(i_0_3800,negated_conjecture,
    l3_lattices(esk558_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-w8wt0isa/lgb.p',i_0_3800) ).

cnf(i_0_3802,negated_conjecture,
    ~ v3_struct_0(esk558_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-w8wt0isa/lgb.p',i_0_3802) ).

cnf(i_0_914,plain,
    ( l3_lattices(k1_lattice2(X1))
    | ~ l3_lattices(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-w8wt0isa/lgb.p',i_0_914) ).

cnf(i_0_431,plain,
    ( v1_xboole_0(u1_struct_0(X1))
    | ~ v3_struct_0(X1)
    | ~ l1_struct_0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-w8wt0isa/lgb.p',i_0_431) ).

cnf(i_0_1179,plain,
    ( v3_struct_0(X1)
    | ~ l3_lattices(X1)
    | ~ v3_struct_0(k1_lattice2(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-w8wt0isa/lgb.p',i_0_1179) ).

cnf(i_0_3199,plain,
    ( v3_struct_0(X1)
    | m1_filter_2(X2,k1_lattice2(X1))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ m2_filter_2(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-w8wt0isa/lgb.p',i_0_3199) ).

cnf(i_0_3799,negated_conjecture,
    m2_filter_2(esk559_0,esk558_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-w8wt0isa/lgb.p',i_0_3799) ).

cnf(i_0_3801,negated_conjecture,
    v10_lattices(esk558_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-w8wt0isa/lgb.p',i_0_3801) ).

cnf(i_0_1413,plain,
    ( v3_struct_0(X1)
    | v10_lattices(k1_lattice2(X1))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-w8wt0isa/lgb.p',i_0_1413) ).

cnf(i_0_1841,plain,
    ( v3_struct_0(X1)
    | m1_filter_0(X2,X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ m1_filter_2(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-w8wt0isa/lgb.p',i_0_1841) ).

cnf(i_0_6328,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/sandbox/tmp/enigma-theBenchmark.p-w8wt0isa/lgb.p',i_0_6328) ).

cnf(i_0_3798,negated_conjecture,
    v13_lattices(esk558_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-w8wt0isa/lgb.p',i_0_3798) ).

cnf(i_0_5908,plain,
    ( v3_struct_0(X1)
    | v14_lattices(k1_lattice2(X1))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ v13_lattices(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-w8wt0isa/lgb.p',i_0_5908) ).

cnf(i_0_2164,plain,
    ( v3_struct_0(X1)
    | r2_hidden(k6_lattices(X1),X2)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ v14_lattices(X1)
    | ~ m1_filter_0(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-w8wt0isa/lgb.p',i_0_2164) ).

cnf(i_0_3797,negated_conjecture,
    ~ r2_hidden(k5_lattices(esk558_0),esk559_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-w8wt0isa/lgb.p',i_0_3797) ).

cnf(c_0_6348,plain,
    ( l1_struct_0(X1)
    | ~ l2_lattices(X1) ),
    i_0_1011 ).

cnf(c_0_6349,plain,
    ( l2_lattices(X1)
    | ~ l3_lattices(X1) ),
    i_0_1013 ).

cnf(c_0_6350,plain,
    ( v3_struct_0(X1)
    | ~ l1_struct_0(X1)
    | ~ v1_xboole_0(u1_struct_0(X1)) ),
    i_0_430 ).

cnf(c_0_6351,plain,
    ( l1_struct_0(X1)
    | ~ l3_lattices(X1) ),
    inference(spm,[status(thm)],[c_0_6348,c_0_6349]) ).

cnf(c_0_6352,plain,
    ( u1_struct_0(k1_lattice2(X1)) = u1_struct_0(X1)
    | v3_struct_0(X1)
    | ~ l3_lattices(X1) ),
    i_0_2842 ).

cnf(c_0_6353,negated_conjecture,
    l3_lattices(esk558_0),
    i_0_3800 ).

cnf(c_0_6354,negated_conjecture,
    ~ v3_struct_0(esk558_0),
    i_0_3802 ).

cnf(c_0_6355,plain,
    ( v3_struct_0(X1)
    | ~ v1_xboole_0(u1_struct_0(X1))
    | ~ l3_lattices(X1) ),
    inference(spm,[status(thm)],[c_0_6350,c_0_6351]) ).

cnf(c_0_6356,negated_conjecture,
    u1_struct_0(k1_lattice2(esk558_0)) = u1_struct_0(esk558_0),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_6352,c_0_6353]),c_0_6354]) ).

cnf(c_0_6357,plain,
    ( v3_struct_0(k1_lattice2(esk558_0))
    | ~ v1_xboole_0(u1_struct_0(esk558_0))
    | ~ l3_lattices(k1_lattice2(esk558_0)) ),
    inference(spm,[status(thm)],[c_0_6355,c_0_6356]) ).

cnf(c_0_6358,plain,
    ( l3_lattices(k1_lattice2(X1))
    | ~ l3_lattices(X1) ),
    i_0_914 ).

cnf(c_0_6359,plain,
    ( v1_xboole_0(u1_struct_0(X1))
    | ~ v3_struct_0(X1)
    | ~ l1_struct_0(X1) ),
    i_0_431 ).

cnf(c_0_6360,plain,
    ( v3_struct_0(X1)
    | ~ l3_lattices(X1)
    | ~ v3_struct_0(k1_lattice2(X1)) ),
    i_0_1179 ).

cnf(c_0_6361,plain,
    ( v3_struct_0(k1_lattice2(esk558_0))
    | ~ v1_xboole_0(u1_struct_0(esk558_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6357,c_0_6358]),c_0_6353])]) ).

cnf(c_0_6362,plain,
    ( v1_xboole_0(u1_struct_0(X1))
    | ~ l3_lattices(X1)
    | ~ v3_struct_0(X1) ),
    inference(spm,[status(thm)],[c_0_6359,c_0_6351]) ).

cnf(c_0_6363,plain,
    ~ v1_xboole_0(u1_struct_0(esk558_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6360,c_0_6361]),c_0_6353])]),c_0_6354]) ).

cnf(c_0_6364,plain,
    ( v3_struct_0(X1)
    | m1_filter_2(X2,k1_lattice2(X1))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ m2_filter_2(X2,X1) ),
    i_0_3199 ).

cnf(c_0_6365,negated_conjecture,
    m2_filter_2(esk559_0,esk558_0),
    i_0_3799 ).

cnf(c_0_6366,negated_conjecture,
    v10_lattices(esk558_0),
    i_0_3801 ).

cnf(c_0_6367,plain,
    ( v3_struct_0(X1)
    | v10_lattices(k1_lattice2(X1))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    i_0_1413 ).

cnf(c_0_6368,plain,
    ( ~ l3_lattices(k1_lattice2(esk558_0))
    | ~ v3_struct_0(k1_lattice2(esk558_0)) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_6362,c_0_6356]),c_0_6363]) ).

cnf(c_0_6369,plain,
    ( v3_struct_0(X1)
    | m1_filter_0(X2,X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ m1_filter_2(X2,X1) ),
    i_0_1841 ).

cnf(c_0_6370,negated_conjecture,
    m1_filter_2(esk559_0,k1_lattice2(esk558_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6364,c_0_6365]),c_0_6366]),c_0_6353])]),c_0_6354]) ).

cnf(c_0_6371,negated_conjecture,
    v10_lattices(k1_lattice2(esk558_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6367,c_0_6366]),c_0_6353])]),c_0_6354]) ).

cnf(c_0_6372,plain,
    ~ v3_struct_0(k1_lattice2(esk558_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6368,c_0_6358]),c_0_6353])]) ).

cnf(c_0_6373,plain,
    ( k6_lattices(k1_lattice2(X1)) = k5_lattices(X1)
    | v3_struct_0(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ v13_lattices(X1) ),
    i_0_6328 ).

cnf(c_0_6374,negated_conjecture,
    v13_lattices(esk558_0),
    i_0_3798 ).

cnf(c_0_6375,plain,
    ( v3_struct_0(X1)
    | v14_lattices(k1_lattice2(X1))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ v13_lattices(X1) ),
    i_0_5908 ).

cnf(c_0_6376,plain,
    ( v3_struct_0(X1)
    | r2_hidden(k6_lattices(X1),X2)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ v14_lattices(X1)
    | ~ m1_filter_0(X2,X1) ),
    i_0_2164 ).

cnf(c_0_6377,plain,
    ( m1_filter_0(esk559_0,k1_lattice2(esk558_0))
    | ~ l3_lattices(k1_lattice2(esk558_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6369,c_0_6370]),c_0_6371])]),c_0_6372]) ).

cnf(c_0_6378,negated_conjecture,
    k6_lattices(k1_lattice2(esk558_0)) = k5_lattices(esk558_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6373,c_0_6374]),c_0_6366]),c_0_6353])]),c_0_6354]) ).

cnf(c_0_6379,negated_conjecture,
    v14_lattices(k1_lattice2(esk558_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6375,c_0_6374]),c_0_6366]),c_0_6353])]),c_0_6354]) ).

cnf(c_0_6380,negated_conjecture,
    ~ r2_hidden(k5_lattices(esk558_0),esk559_0),
    i_0_3797 ).

cnf(c_0_6381,plain,
    ~ l3_lattices(k1_lattice2(esk558_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_6376,c_0_6377]),c_0_6378]),c_0_6379]),c_0_6371])]),c_0_6372]),c_0_6380]) ).

cnf(c_0_6382,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6381,c_0_6358]),c_0_6353])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : LAT301+4 : TPTP v8.1.0. Released v3.4.0.
% 0.06/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.32  % Computer : n019.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit : 300
% 0.12/0.32  % WCLimit  : 600
% 0.12/0.32  % DateTime : Wed Jun 29 13:27:30 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.44  # ENIGMATIC: Selected SinE mode:
% 1.37/1.55  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.37/1.55  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 1.37/1.55  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 1.37/1.55  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 12.63/5.94  # ENIGMATIC: Solved by autoschedule-lgb:
% 12.63/5.94  # No SInE strategy applied
% 12.63/5.94  # Trying AutoSched0 for 149 seconds
% 12.63/5.94  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04BN
% 12.63/5.94  # and selection function PSelectComplexExceptUniqMaxHorn.
% 12.63/5.94  #
% 12.63/5.94  # Preprocessing time       : 0.038 s
% 12.63/5.94  # Presaturation interreduction done
% 12.63/5.94  
% 12.63/5.94  # Proof found!
% 12.63/5.94  # SZS status Theorem
% 12.63/5.94  # SZS output start CNFRefutation
% See solution above
% 12.63/5.94  # Training examples: 0 positive, 0 negative
% 12.63/5.94  
% 12.63/5.94  # -------------------------------------------------
% 12.63/5.94  # User time                : 0.157 s
% 12.63/5.94  # System time              : 0.011 s
% 12.63/5.94  # Total time               : 0.168 s
% 12.63/5.94  # Maximum resident set size: 7124 pages
% 12.63/5.94  
%------------------------------------------------------------------------------