TSTP Solution File: LAT301+3 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : LAT301+3 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n024.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 04:29:10 EDT 2022

% Result   : Theorem 12.29s 4.78s
% Output   : CNFRefutation 12.29s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   15
% Syntax   : Number of clauses     :   35 (  14 unt;  16 nHn;  35 RR)
%            Number of literals    :  107 (   2 equ;  62 neg)
%            Maximal clause size   :    6 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   11 (   9 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-1 aty)
%            Number of variables   :   28 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_2409,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-pyximvp5/lgb.p',i_0_2409) ).

cnf(i_0_5575,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-pyximvp5/lgb.p',i_0_5575) ).

cnf(i_0_1139,plain,
    ( l3_lattices(k1_lattice2(X1))
    | ~ l3_lattices(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-pyximvp5/lgb.p',i_0_1139) ).

cnf(i_0_1568,plain,
    ( v3_struct_0(X1)
    | v10_lattices(k1_lattice2(X1))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-pyximvp5/lgb.p',i_0_1568) ).

cnf(i_0_5192,plain,
    ( v3_struct_0(X1)
    | v13_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ v14_lattices(k1_lattice2(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-pyximvp5/lgb.p',i_0_5192) ).

cnf(i_0_1408,plain,
    ( v3_struct_0(X1)
    | ~ l3_lattices(X1)
    | ~ v3_struct_0(k1_lattice2(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-pyximvp5/lgb.p',i_0_1408) ).

cnf(i_0_3464,negated_conjecture,
    ~ r2_hidden(k5_lattices(esk554_0),esk555_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-pyximvp5/lgb.p',i_0_3464) ).

cnf(i_0_3468,negated_conjecture,
    v10_lattices(esk554_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-pyximvp5/lgb.p',i_0_3468) ).

cnf(i_0_3467,negated_conjecture,
    l3_lattices(esk554_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-pyximvp5/lgb.p',i_0_3467) ).

cnf(i_0_3469,negated_conjecture,
    ~ v3_struct_0(esk554_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-pyximvp5/lgb.p',i_0_3469) ).

cnf(i_0_2142,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-pyximvp5/lgb.p',i_0_2142) ).

cnf(i_0_3245,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-pyximvp5/lgb.p',i_0_3245) ).

cnf(i_0_3466,negated_conjecture,
    m2_filter_2(esk555_0,esk554_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-pyximvp5/lgb.p',i_0_3466) ).

cnf(i_0_5193,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-pyximvp5/lgb.p',i_0_5193) ).

cnf(i_0_3465,negated_conjecture,
    v13_lattices(esk554_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-pyximvp5/lgb.p',i_0_3465) ).

cnf(c_0_5591,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_2409 ).

cnf(c_0_5592,plain,
    ( k6_lattices(k1_lattice2(X1)) = k5_lattices(X1)
    | v3_struct_0(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ v13_lattices(X1) ),
    i_0_5575 ).

cnf(c_0_5593,plain,
    ( l3_lattices(k1_lattice2(X1))
    | ~ l3_lattices(X1) ),
    i_0_1139 ).

cnf(c_0_5594,plain,
    ( v3_struct_0(X1)
    | v10_lattices(k1_lattice2(X1))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    i_0_1568 ).

cnf(c_0_5595,plain,
    ( v3_struct_0(X1)
    | v13_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ v14_lattices(k1_lattice2(X1)) ),
    i_0_5192 ).

cnf(c_0_5596,plain,
    ( v3_struct_0(X1)
    | ~ l3_lattices(X1)
    | ~ v3_struct_0(k1_lattice2(X1)) ),
    i_0_1408 ).

cnf(c_0_5597,negated_conjecture,
    ~ r2_hidden(k5_lattices(esk554_0),esk555_0),
    i_0_3464 ).

cnf(c_0_5598,plain,
    ( v3_struct_0(X1)
    | r2_hidden(k5_lattices(X1),X2)
    | ~ v14_lattices(k1_lattice2(X1))
    | ~ m1_filter_0(X2,k1_lattice2(X1))
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_5591,c_0_5592]),c_0_5593]),c_0_5594]),c_0_5595]),c_0_5596]) ).

cnf(c_0_5599,negated_conjecture,
    v10_lattices(esk554_0),
    i_0_3468 ).

cnf(c_0_5600,negated_conjecture,
    l3_lattices(esk554_0),
    i_0_3467 ).

cnf(c_0_5601,negated_conjecture,
    ~ v3_struct_0(esk554_0),
    i_0_3469 ).

cnf(c_0_5602,plain,
    ( v3_struct_0(X1)
    | m1_filter_0(X2,X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ m1_filter_2(X2,X1) ),
    i_0_2142 ).

cnf(c_0_5603,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_3245 ).

cnf(c_0_5604,negated_conjecture,
    ( ~ v14_lattices(k1_lattice2(esk554_0))
    | ~ m1_filter_0(esk555_0,k1_lattice2(esk554_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5597,c_0_5598]),c_0_5599]),c_0_5600])]),c_0_5601]) ).

cnf(c_0_5605,plain,
    ( m1_filter_0(X1,k1_lattice2(X2))
    | v3_struct_0(X2)
    | ~ v10_lattices(X2)
    | ~ l3_lattices(X2)
    | ~ m2_filter_2(X1,X2) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_5602,c_0_5603]),c_0_5593]),c_0_5594]),c_0_5596]) ).

cnf(c_0_5606,negated_conjecture,
    m2_filter_2(esk555_0,esk554_0),
    i_0_3466 ).

cnf(c_0_5607,plain,
    ~ v14_lattices(k1_lattice2(esk554_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_5604,c_0_5605]),c_0_5599]),c_0_5600]),c_0_5606])]),c_0_5601]) ).

cnf(c_0_5608,plain,
    ( v3_struct_0(X1)
    | v14_lattices(k1_lattice2(X1))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ v13_lattices(X1) ),
    i_0_5193 ).

cnf(c_0_5609,negated_conjecture,
    v13_lattices(esk554_0),
    i_0_3465 ).

cnf(c_0_5610,plain,
    $false,
    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_5607,c_0_5608]),c_0_5609]),c_0_5599]),c_0_5600])]),c_0_5601]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : LAT301+3 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n024.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 : Wed Jun 29 14:38:49 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  # ENIGMATIC: Selected SinE mode:
% 0.71/0.89  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.71/0.89  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.71/0.89  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.71/0.89  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 12.29/4.78  # ENIGMATIC: Solved by autoschedule-lgb:
% 12.29/4.78  # No SInE strategy applied
% 12.29/4.78  # Trying AutoSched0 for 149 seconds
% 12.29/4.78  # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S0Y
% 12.29/4.78  # and selection function SelectMaxLComplexAvoidPosPred.
% 12.29/4.78  #
% 12.29/4.78  # Preprocessing time       : 0.021 s
% 12.29/4.78  # Presaturation interreduction done
% 12.29/4.78  
% 12.29/4.78  # Proof found!
% 12.29/4.78  # SZS status Theorem
% 12.29/4.78  # SZS output start CNFRefutation
% See solution above
% 12.29/4.78  # Training examples: 0 positive, 0 negative
% 12.29/4.78  
% 12.29/4.78  # -------------------------------------------------
% 12.29/4.78  # User time                : 0.189 s
% 12.29/4.78  # System time              : 0.011 s
% 12.29/4.78  # Total time               : 0.199 s
% 12.29/4.78  # Maximum resident set size: 7128 pages
% 12.29/4.78  
%------------------------------------------------------------------------------