TSTP Solution File: LAT346+4 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : LAT346+4 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n015.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 04:30:04 EDT 2022

% Result   : Theorem 13.74s 7.63s
% Output   : CNFRefutation 13.74s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   15
% Syntax   : Number of clauses     :   40 (   8 unt;  22 nHn;  40 RR)
%            Number of literals    :  145 (   0 equ;  79 neg)
%            Maximal clause size   :    9 (   3 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :    9 (   8 usr;   1 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   1 con; 0-1 aty)
%            Number of variables   :   32 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_1125,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | r1_filter_1(X2,X1)
    | ~ l3_lattices(X1)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X1)
    | ~ v10_lattices(X2)
    | ~ m1_lattice4(X3,X2,X1)
    | ~ v3_lattice4(X3,X2,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9r0bjvhr/lgb.p',i_0_1125) ).

cnf(i_0_4696,plain,
    ( v3_conlat_1(X1)
    | v3_lattice4(k10_conlat_2(X1),k1_lattice2(k11_conlat_1(X1)),k11_conlat_1(k7_conlat_2(X1)))
    | ~ l2_conlat_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9r0bjvhr/lgb.p',i_0_4696) ).

cnf(i_0_1362,plain,
    ( v3_conlat_1(X1)
    | m1_lattice4(k10_conlat_2(X1),k1_lattice2(k11_conlat_1(X1)),k11_conlat_1(k7_conlat_2(X1)))
    | ~ l2_conlat_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9r0bjvhr/lgb.p',i_0_1362) ).

cnf(i_0_3372,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | r1_filter_1(X1,X2)
    | ~ l3_lattices(X1)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X1)
    | ~ v10_lattices(X2)
    | ~ r1_filter_1(X2,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9r0bjvhr/lgb.p',i_0_3372) ).

cnf(i_0_4759,negated_conjecture,
    ~ r1_filter_1(k11_conlat_1(k7_conlat_2(esk656_0)),k1_lattice2(k11_conlat_1(esk656_0))),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9r0bjvhr/lgb.p',i_0_4759) ).

cnf(i_0_4760,negated_conjecture,
    l2_conlat_1(esk656_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9r0bjvhr/lgb.p',i_0_4760) ).

cnf(i_0_4761,negated_conjecture,
    ~ v3_conlat_1(esk656_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9r0bjvhr/lgb.p',i_0_4761) ).

cnf(i_0_6390,plain,
    ( v3_conlat_1(X1)
    | v10_lattices(k11_conlat_1(X1))
    | ~ l2_conlat_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9r0bjvhr/lgb.p',i_0_6390) ).

cnf(i_0_6388,plain,
    ( v3_conlat_1(X1)
    | l3_lattices(k11_conlat_1(X1))
    | ~ l2_conlat_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9r0bjvhr/lgb.p',i_0_6388) ).

cnf(i_0_6391,plain,
    ( v3_conlat_1(X1)
    | ~ l2_conlat_1(X1)
    | ~ v3_struct_0(k11_conlat_1(X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9r0bjvhr/lgb.p',i_0_6391) ).

cnf(i_0_2247,plain,
    ( v3_struct_0(X1)
    | v10_lattices(k1_lattice2(X1))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9r0bjvhr/lgb.p',i_0_2247) ).

cnf(i_0_1422,plain,
    ( l3_lattices(k1_lattice2(X1))
    | ~ l3_lattices(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9r0bjvhr/lgb.p',i_0_1422) ).

cnf(i_0_1785,plain,
    ( v3_struct_0(X1)
    | ~ l3_lattices(X1)
    | ~ v3_struct_0(k1_lattice2(X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9r0bjvhr/lgb.p',i_0_1785) ).

cnf(i_0_1543,plain,
    ( v3_conlat_1(X1)
    | l2_conlat_1(k7_conlat_2(X1))
    | ~ l2_conlat_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9r0bjvhr/lgb.p',i_0_1543) ).

cnf(i_0_1545,plain,
    ( v3_conlat_1(X1)
    | ~ l2_conlat_1(X1)
    | ~ v3_conlat_1(k7_conlat_2(X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9r0bjvhr/lgb.p',i_0_1545) ).

cnf(c_0_6407,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | r1_filter_1(X2,X1)
    | ~ l3_lattices(X1)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X1)
    | ~ v10_lattices(X2)
    | ~ m1_lattice4(X3,X2,X1)
    | ~ v3_lattice4(X3,X2,X1) ),
    i_0_1125 ).

cnf(c_0_6408,plain,
    ( v3_conlat_1(X1)
    | v3_lattice4(k10_conlat_2(X1),k1_lattice2(k11_conlat_1(X1)),k11_conlat_1(k7_conlat_2(X1)))
    | ~ l2_conlat_1(X1) ),
    i_0_4696 ).

cnf(c_0_6409,plain,
    ( v3_conlat_1(X1)
    | m1_lattice4(k10_conlat_2(X1),k1_lattice2(k11_conlat_1(X1)),k11_conlat_1(k7_conlat_2(X1)))
    | ~ l2_conlat_1(X1) ),
    i_0_1362 ).

cnf(c_0_6410,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | r1_filter_1(X1,X2)
    | ~ l3_lattices(X1)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X1)
    | ~ v10_lattices(X2)
    | ~ r1_filter_1(X2,X1) ),
    i_0_3372 ).

cnf(c_0_6411,plain,
    ( v3_conlat_1(X1)
    | v3_struct_0(k1_lattice2(k11_conlat_1(X1)))
    | v3_struct_0(k11_conlat_1(k7_conlat_2(X1)))
    | r1_filter_1(k1_lattice2(k11_conlat_1(X1)),k11_conlat_1(k7_conlat_2(X1)))
    | ~ l2_conlat_1(X1)
    | ~ v10_lattices(k1_lattice2(k11_conlat_1(X1)))
    | ~ v10_lattices(k11_conlat_1(k7_conlat_2(X1)))
    | ~ l3_lattices(k1_lattice2(k11_conlat_1(X1)))
    | ~ l3_lattices(k11_conlat_1(k7_conlat_2(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_6407,c_0_6408]),c_0_6409]) ).

cnf(c_0_6412,negated_conjecture,
    ~ r1_filter_1(k11_conlat_1(k7_conlat_2(esk656_0)),k1_lattice2(k11_conlat_1(esk656_0))),
    i_0_4759 ).

cnf(c_0_6413,plain,
    ( v3_conlat_1(X1)
    | v3_struct_0(k1_lattice2(k11_conlat_1(X1)))
    | v3_struct_0(k11_conlat_1(k7_conlat_2(X1)))
    | r1_filter_1(k11_conlat_1(k7_conlat_2(X1)),k1_lattice2(k11_conlat_1(X1)))
    | ~ l2_conlat_1(X1)
    | ~ v10_lattices(k1_lattice2(k11_conlat_1(X1)))
    | ~ v10_lattices(k11_conlat_1(k7_conlat_2(X1)))
    | ~ l3_lattices(k1_lattice2(k11_conlat_1(X1)))
    | ~ l3_lattices(k11_conlat_1(k7_conlat_2(X1))) ),
    inference(spm,[status(thm)],[c_0_6410,c_0_6411]) ).

cnf(c_0_6414,negated_conjecture,
    l2_conlat_1(esk656_0),
    i_0_4760 ).

cnf(c_0_6415,negated_conjecture,
    ~ v3_conlat_1(esk656_0),
    i_0_4761 ).

cnf(c_0_6416,negated_conjecture,
    ( v3_struct_0(k11_conlat_1(k7_conlat_2(esk656_0)))
    | v3_struct_0(k1_lattice2(k11_conlat_1(esk656_0)))
    | ~ v10_lattices(k1_lattice2(k11_conlat_1(esk656_0)))
    | ~ v10_lattices(k11_conlat_1(k7_conlat_2(esk656_0)))
    | ~ l3_lattices(k1_lattice2(k11_conlat_1(esk656_0)))
    | ~ l3_lattices(k11_conlat_1(k7_conlat_2(esk656_0))) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6412,c_0_6413]),c_0_6414])]),c_0_6415]) ).

cnf(c_0_6417,plain,
    ( v3_conlat_1(X1)
    | v10_lattices(k11_conlat_1(X1))
    | ~ l2_conlat_1(X1) ),
    i_0_6390 ).

cnf(c_0_6418,plain,
    ( v3_conlat_1(X1)
    | l3_lattices(k11_conlat_1(X1))
    | ~ l2_conlat_1(X1) ),
    i_0_6388 ).

cnf(c_0_6419,plain,
    ( v3_conlat_1(X1)
    | ~ l2_conlat_1(X1)
    | ~ v3_struct_0(k11_conlat_1(X1)) ),
    i_0_6391 ).

cnf(c_0_6420,plain,
    ( v3_conlat_1(k7_conlat_2(esk656_0))
    | v3_struct_0(k1_lattice2(k11_conlat_1(esk656_0)))
    | ~ l2_conlat_1(k7_conlat_2(esk656_0))
    | ~ v10_lattices(k1_lattice2(k11_conlat_1(esk656_0)))
    | ~ l3_lattices(k1_lattice2(k11_conlat_1(esk656_0))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_6416,c_0_6417]),c_0_6418]),c_0_6419]) ).

cnf(c_0_6421,plain,
    ( v3_struct_0(X1)
    | v10_lattices(k1_lattice2(X1))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    i_0_2247 ).

cnf(c_0_6422,plain,
    ( l3_lattices(k1_lattice2(X1))
    | ~ l3_lattices(X1) ),
    i_0_1422 ).

cnf(c_0_6423,plain,
    ( v3_struct_0(X1)
    | ~ l3_lattices(X1)
    | ~ v3_struct_0(k1_lattice2(X1)) ),
    i_0_1785 ).

cnf(c_0_6424,plain,
    ( v3_conlat_1(k7_conlat_2(esk656_0))
    | v3_struct_0(k11_conlat_1(esk656_0))
    | ~ l2_conlat_1(k7_conlat_2(esk656_0))
    | ~ v10_lattices(k11_conlat_1(esk656_0))
    | ~ l3_lattices(k11_conlat_1(esk656_0)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_6420,c_0_6421]),c_0_6422]),c_0_6423]) ).

cnf(c_0_6425,plain,
    ( v3_conlat_1(X1)
    | l2_conlat_1(k7_conlat_2(X1))
    | ~ l2_conlat_1(X1) ),
    i_0_1543 ).

cnf(c_0_6426,plain,
    ( v3_conlat_1(X1)
    | ~ l2_conlat_1(X1)
    | ~ v3_conlat_1(k7_conlat_2(X1)) ),
    i_0_1545 ).

cnf(c_0_6427,plain,
    ( v3_conlat_1(k7_conlat_2(esk656_0))
    | v3_struct_0(k11_conlat_1(esk656_0))
    | ~ v10_lattices(k11_conlat_1(esk656_0))
    | ~ l3_lattices(k11_conlat_1(esk656_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6424,c_0_6425]),c_0_6414])]),c_0_6415]) ).

cnf(c_0_6428,plain,
    ( v3_struct_0(k11_conlat_1(esk656_0))
    | ~ v10_lattices(k11_conlat_1(esk656_0))
    | ~ l3_lattices(k11_conlat_1(esk656_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6426,c_0_6427]),c_0_6414])]),c_0_6415]) ).

cnf(c_0_6429,plain,
    ( v3_struct_0(k11_conlat_1(esk656_0))
    | ~ l3_lattices(k11_conlat_1(esk656_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6428,c_0_6417]),c_0_6414])]),c_0_6415]) ).

cnf(c_0_6430,plain,
    v3_struct_0(k11_conlat_1(esk656_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6429,c_0_6418]),c_0_6414])]),c_0_6415]) ).

cnf(c_0_6431,plain,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6419,c_0_6430]),c_0_6414])]),c_0_6415]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : LAT346+4 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.35  % Computer : n015.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Wed Jun 29 18:54:20 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.20/0.46  # ENIGMATIC: Selected SinE mode:
% 2.25/2.44  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.25/2.44  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 2.25/2.44  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 2.25/2.44  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 13.74/7.63  # ENIGMATIC: Solved by autoschedule-lgb:
% 13.74/7.63  # No SInE strategy applied
% 13.74/7.63  # Trying AutoSched0 for 148 seconds
% 13.74/7.63  # AutoSched0-Mode selected heuristic G_____0010_evo
% 13.74/7.63  # and selection function SelectMaxLComplexAvoidPosPred.
% 13.74/7.63  #
% 13.74/7.63  # Preprocessing time       : 0.019 s
% 13.74/7.63  
% 13.74/7.63  # Proof found!
% 13.74/7.63  # SZS status Theorem
% 13.74/7.63  # SZS output start CNFRefutation
% See solution above
% 13.74/7.63  # Training examples: 0 positive, 0 negative
% 13.74/7.63  
% 13.74/7.63  # -------------------------------------------------
% 13.74/7.63  # User time                : 0.032 s
% 13.74/7.63  # System time              : 0.006 s
% 13.74/7.63  # Total time               : 0.038 s
% 13.74/7.63  # Maximum resident set size: 7124 pages
% 13.74/7.63  
%------------------------------------------------------------------------------