TSTP Solution File: LAT346+2 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : LAT346+2 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n012.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 04:30:03 EDT 2022

% Result   : Theorem 10.45s 4.14s
% Output   : CNFRefutation 10.45s
% 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_948,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/sandbox/tmp/enigma-theBenchmark.p-h65m86d9/lgb.p',i_0_948) ).

cnf(i_0_3508,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/sandbox/tmp/enigma-theBenchmark.p-h65m86d9/lgb.p',i_0_3508) ).

cnf(i_0_1245,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/sandbox/tmp/enigma-theBenchmark.p-h65m86d9/lgb.p',i_0_1245) ).

cnf(i_0_2587,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/sandbox/tmp/enigma-theBenchmark.p-h65m86d9/lgb.p',i_0_2587) ).

cnf(i_0_3544,negated_conjecture,
    ~ r1_filter_1(k11_conlat_1(k7_conlat_2(esk547_0)),k1_lattice2(k11_conlat_1(esk547_0))),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-h65m86d9/lgb.p',i_0_3544) ).

cnf(i_0_3545,negated_conjecture,
    l2_conlat_1(esk547_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-h65m86d9/lgb.p',i_0_3545) ).

cnf(i_0_3546,negated_conjecture,
    ~ v3_conlat_1(esk547_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-h65m86d9/lgb.p',i_0_3546) ).

cnf(i_0_4599,plain,
    ( v3_conlat_1(X1)
    | v10_lattices(k11_conlat_1(X1))
    | ~ l2_conlat_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-h65m86d9/lgb.p',i_0_4599) ).

cnf(i_0_4597,plain,
    ( v3_conlat_1(X1)
    | l3_lattices(k11_conlat_1(X1))
    | ~ l2_conlat_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-h65m86d9/lgb.p',i_0_4597) ).

cnf(i_0_4600,plain,
    ( v3_conlat_1(X1)
    | ~ l2_conlat_1(X1)
    | ~ v3_struct_0(k11_conlat_1(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-h65m86d9/lgb.p',i_0_4600) ).

cnf(i_0_1923,plain,
    ( v3_struct_0(X1)
    | v10_lattices(k1_lattice2(X1))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-h65m86d9/lgb.p',i_0_1923) ).

cnf(i_0_1275,plain,
    ( l3_lattices(k1_lattice2(X1))
    | ~ l3_lattices(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-h65m86d9/lgb.p',i_0_1275) ).

cnf(i_0_1575,plain,
    ( v3_struct_0(X1)
    | ~ l3_lattices(X1)
    | ~ v3_struct_0(k1_lattice2(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-h65m86d9/lgb.p',i_0_1575) ).

cnf(i_0_1413,plain,
    ( v3_conlat_1(X1)
    | l2_conlat_1(k7_conlat_2(X1))
    | ~ l2_conlat_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-h65m86d9/lgb.p',i_0_1413) ).

cnf(i_0_1415,plain,
    ( v3_conlat_1(X1)
    | ~ l2_conlat_1(X1)
    | ~ v3_conlat_1(k7_conlat_2(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-h65m86d9/lgb.p',i_0_1415) ).

cnf(c_0_4616,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_948 ).

cnf(c_0_4617,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_3508 ).

cnf(c_0_4618,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_1245 ).

cnf(c_0_4619,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_2587 ).

cnf(c_0_4620,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_4616,c_0_4617]),c_0_4618]) ).

cnf(c_0_4621,negated_conjecture,
    ~ r1_filter_1(k11_conlat_1(k7_conlat_2(esk547_0)),k1_lattice2(k11_conlat_1(esk547_0))),
    i_0_3544 ).

cnf(c_0_4622,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_4619,c_0_4620]) ).

cnf(c_0_4623,negated_conjecture,
    l2_conlat_1(esk547_0),
    i_0_3545 ).

cnf(c_0_4624,negated_conjecture,
    ~ v3_conlat_1(esk547_0),
    i_0_3546 ).

cnf(c_0_4625,negated_conjecture,
    ( v3_struct_0(k11_conlat_1(k7_conlat_2(esk547_0)))
    | v3_struct_0(k1_lattice2(k11_conlat_1(esk547_0)))
    | ~ v10_lattices(k1_lattice2(k11_conlat_1(esk547_0)))
    | ~ v10_lattices(k11_conlat_1(k7_conlat_2(esk547_0)))
    | ~ l3_lattices(k1_lattice2(k11_conlat_1(esk547_0)))
    | ~ l3_lattices(k11_conlat_1(k7_conlat_2(esk547_0))) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4621,c_0_4622]),c_0_4623])]),c_0_4624]) ).

cnf(c_0_4626,plain,
    ( v3_conlat_1(X1)
    | v10_lattices(k11_conlat_1(X1))
    | ~ l2_conlat_1(X1) ),
    i_0_4599 ).

cnf(c_0_4627,plain,
    ( v3_conlat_1(X1)
    | l3_lattices(k11_conlat_1(X1))
    | ~ l2_conlat_1(X1) ),
    i_0_4597 ).

cnf(c_0_4628,plain,
    ( v3_conlat_1(X1)
    | ~ l2_conlat_1(X1)
    | ~ v3_struct_0(k11_conlat_1(X1)) ),
    i_0_4600 ).

cnf(c_0_4629,plain,
    ( v3_conlat_1(k7_conlat_2(esk547_0))
    | v3_struct_0(k1_lattice2(k11_conlat_1(esk547_0)))
    | ~ l2_conlat_1(k7_conlat_2(esk547_0))
    | ~ v10_lattices(k1_lattice2(k11_conlat_1(esk547_0)))
    | ~ l3_lattices(k1_lattice2(k11_conlat_1(esk547_0))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4625,c_0_4626]),c_0_4627]),c_0_4628]) ).

cnf(c_0_4630,plain,
    ( v3_struct_0(X1)
    | v10_lattices(k1_lattice2(X1))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    i_0_1923 ).

cnf(c_0_4631,plain,
    ( l3_lattices(k1_lattice2(X1))
    | ~ l3_lattices(X1) ),
    i_0_1275 ).

cnf(c_0_4632,plain,
    ( v3_struct_0(X1)
    | ~ l3_lattices(X1)
    | ~ v3_struct_0(k1_lattice2(X1)) ),
    i_0_1575 ).

cnf(c_0_4633,plain,
    ( v3_conlat_1(k7_conlat_2(esk547_0))
    | v3_struct_0(k11_conlat_1(esk547_0))
    | ~ l2_conlat_1(k7_conlat_2(esk547_0))
    | ~ v10_lattices(k11_conlat_1(esk547_0))
    | ~ l3_lattices(k11_conlat_1(esk547_0)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4629,c_0_4630]),c_0_4631]),c_0_4632]) ).

cnf(c_0_4634,plain,
    ( v3_conlat_1(X1)
    | l2_conlat_1(k7_conlat_2(X1))
    | ~ l2_conlat_1(X1) ),
    i_0_1413 ).

cnf(c_0_4635,plain,
    ( v3_conlat_1(X1)
    | ~ l2_conlat_1(X1)
    | ~ v3_conlat_1(k7_conlat_2(X1)) ),
    i_0_1415 ).

cnf(c_0_4636,plain,
    ( v3_conlat_1(k7_conlat_2(esk547_0))
    | v3_struct_0(k11_conlat_1(esk547_0))
    | ~ v10_lattices(k11_conlat_1(esk547_0))
    | ~ l3_lattices(k11_conlat_1(esk547_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4633,c_0_4634]),c_0_4623])]),c_0_4624]) ).

cnf(c_0_4637,plain,
    ( v3_struct_0(k11_conlat_1(esk547_0))
    | ~ v10_lattices(k11_conlat_1(esk547_0))
    | ~ l3_lattices(k11_conlat_1(esk547_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4635,c_0_4636]),c_0_4623])]),c_0_4624]) ).

cnf(c_0_4638,plain,
    ( v3_struct_0(k11_conlat_1(esk547_0))
    | ~ l3_lattices(k11_conlat_1(esk547_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4637,c_0_4626]),c_0_4623])]),c_0_4624]) ).

cnf(c_0_4639,plain,
    v3_struct_0(k11_conlat_1(esk547_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4638,c_0_4627]),c_0_4623])]),c_0_4624]) ).

cnf(c_0_4640,plain,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4628,c_0_4639]),c_0_4623])]),c_0_4624]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : LAT346+2 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n012.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 14:43:20 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  # ENIGMATIC: Selected SinE mode:
% 0.45/0.65  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.45/0.65  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.45/0.65  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.45/0.65  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 10.45/4.14  # ENIGMATIC: Solved by autoschedule-lgb:
% 10.45/4.14  # No SInE strategy applied
% 10.45/4.14  # Trying AutoSched0 for 149 seconds
% 10.45/4.14  # AutoSched0-Mode selected heuristic G_____0010_evo
% 10.45/4.14  # and selection function SelectMaxLComplexAvoidPosPred.
% 10.45/4.14  #
% 10.45/4.14  # Preprocessing time       : 0.015 s
% 10.45/4.14  
% 10.45/4.14  # Proof found!
% 10.45/4.14  # SZS status Theorem
% 10.45/4.14  # SZS output start CNFRefutation
% See solution above
% 10.45/4.14  # Training examples: 0 positive, 0 negative
% 10.45/4.14  
% 10.45/4.14  # -------------------------------------------------
% 10.45/4.14  # User time                : 0.022 s
% 10.45/4.14  # System time              : 0.006 s
% 10.45/4.14  # Total time               : 0.027 s
% 10.45/4.14  # Maximum resident set size: 7128 pages
% 10.45/4.14  
%------------------------------------------------------------------------------