TSTP Solution File: LAT338+4 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : LAT338+4 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n009.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 04:29:55 EDT 2022

% Result   : Theorem 33.32s 9.53s
% Output   : CNFRefutation 33.32s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   45 (   6 unt;  30 nHn;  31 RR)
%            Number of literals    :  137 (   4 equ;  64 neg)
%            Maximal clause size   :    6 (   3 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :   10 (   8 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   2 con; 0-2 aty)
%            Number of variables   :   52 (  12 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_1417,plain,
    ( v3_conlat_1(X1)
    | v9_conlat_1(k12_conlat_1(X1,X2),X1)
    | ~ l2_conlat_1(X1)
    | ~ m1_subset_1(X2,u1_struct_0(k11_conlat_1(X1))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jrl3sdte/lgb.p',i_0_1417) ).

cnf(i_0_1429,plain,
    ( v3_struct_0(X1)
    | m1_subset_1(k15_lattice3(X1,X2),u1_struct_0(X1))
    | ~ l3_lattices(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jrl3sdte/lgb.p',i_0_1429) ).

cnf(i_0_6152,plain,
    ( v3_conlat_1(X1)
    | l3_lattices(k11_conlat_1(X1))
    | ~ l2_conlat_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jrl3sdte/lgb.p',i_0_6152) ).

cnf(i_0_6155,plain,
    ( v3_conlat_1(X1)
    | ~ l2_conlat_1(X1)
    | ~ v3_struct_0(k11_conlat_1(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jrl3sdte/lgb.p',i_0_6155) ).

cnf(i_0_933,plain,
    ( k12_conlat_1(X1,X2) = X2
    | v3_conlat_1(X1)
    | ~ l2_conlat_1(X1)
    | ~ m1_subset_1(X2,u1_struct_0(k11_conlat_1(X1))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jrl3sdte/lgb.p',i_0_933) ).

cnf(i_0_1430,plain,
    ( v3_struct_0(X1)
    | m1_subset_1(k16_lattice3(X1,X2),u1_struct_0(X1))
    | ~ l3_lattices(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jrl3sdte/lgb.p',i_0_1430) ).

cnf(i_0_6292,negated_conjecture,
    ( v7_conlat_1(k15_lattice3(k11_conlat_1(esk911_0),esk912_0),esk911_0)
    | v7_conlat_1(k16_lattice3(k11_conlat_1(esk911_0),esk912_0),esk911_0)
    | ~ l3_conlat_1(k15_lattice3(k11_conlat_1(esk911_0),esk912_0),esk911_0)
    | ~ l3_conlat_1(k16_lattice3(k11_conlat_1(esk911_0),esk912_0),esk911_0)
    | ~ v9_conlat_1(k15_lattice3(k11_conlat_1(esk911_0),esk912_0),esk911_0)
    | ~ v9_conlat_1(k16_lattice3(k11_conlat_1(esk911_0),esk912_0),esk911_0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jrl3sdte/lgb.p',i_0_6292) ).

cnf(i_0_6294,negated_conjecture,
    l2_conlat_1(esk911_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jrl3sdte/lgb.p',i_0_6294) ).

cnf(i_0_6295,negated_conjecture,
    ~ v3_conlat_1(esk911_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jrl3sdte/lgb.p',i_0_6295) ).

cnf(i_0_1416,plain,
    ( v3_conlat_1(X1)
    | l3_conlat_1(k12_conlat_1(X1,X2),X1)
    | ~ l2_conlat_1(X1)
    | ~ m1_subset_1(X2,u1_struct_0(k11_conlat_1(X1))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jrl3sdte/lgb.p',i_0_1416) ).

cnf(i_0_1418,plain,
    ( v3_conlat_1(X1)
    | ~ l2_conlat_1(X1)
    | ~ v7_conlat_1(k12_conlat_1(X1,X2),X1)
    | ~ m1_subset_1(X2,u1_struct_0(k11_conlat_1(X1))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jrl3sdte/lgb.p',i_0_1418) ).

cnf(c_0_6307,plain,
    ( v3_conlat_1(X1)
    | v9_conlat_1(k12_conlat_1(X1,X2),X1)
    | ~ l2_conlat_1(X1)
    | ~ m1_subset_1(X2,u1_struct_0(k11_conlat_1(X1))) ),
    i_0_1417 ).

cnf(c_0_6308,plain,
    ( v3_struct_0(X1)
    | m1_subset_1(k15_lattice3(X1,X2),u1_struct_0(X1))
    | ~ l3_lattices(X1) ),
    i_0_1429 ).

cnf(c_0_6309,plain,
    ( v3_conlat_1(X1)
    | l3_lattices(k11_conlat_1(X1))
    | ~ l2_conlat_1(X1) ),
    i_0_6152 ).

cnf(c_0_6310,plain,
    ( v3_conlat_1(X1)
    | ~ l2_conlat_1(X1)
    | ~ v3_struct_0(k11_conlat_1(X1)) ),
    i_0_6155 ).

cnf(c_0_6311,plain,
    ( k12_conlat_1(X1,X2) = X2
    | v3_conlat_1(X1)
    | ~ l2_conlat_1(X1)
    | ~ m1_subset_1(X2,u1_struct_0(k11_conlat_1(X1))) ),
    i_0_933 ).

cnf(c_0_6312,plain,
    ( v3_conlat_1(X1)
    | v9_conlat_1(k12_conlat_1(X1,k15_lattice3(k11_conlat_1(X1),X2)),X1)
    | ~ l2_conlat_1(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_6307,c_0_6308]),c_0_6309]),c_0_6310]) ).

cnf(c_0_6313,plain,
    ( k12_conlat_1(X1,k15_lattice3(k11_conlat_1(X1),X2)) = k15_lattice3(k11_conlat_1(X1),X2)
    | v3_conlat_1(X1)
    | ~ l2_conlat_1(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_6311,c_0_6308]),c_0_6309]),c_0_6310]) ).

cnf(c_0_6314,plain,
    ( v3_struct_0(X1)
    | m1_subset_1(k16_lattice3(X1,X2),u1_struct_0(X1))
    | ~ l3_lattices(X1) ),
    i_0_1430 ).

cnf(c_0_6315,negated_conjecture,
    ( v7_conlat_1(k15_lattice3(k11_conlat_1(esk911_0),esk912_0),esk911_0)
    | v7_conlat_1(k16_lattice3(k11_conlat_1(esk911_0),esk912_0),esk911_0)
    | ~ l3_conlat_1(k15_lattice3(k11_conlat_1(esk911_0),esk912_0),esk911_0)
    | ~ l3_conlat_1(k16_lattice3(k11_conlat_1(esk911_0),esk912_0),esk911_0)
    | ~ v9_conlat_1(k15_lattice3(k11_conlat_1(esk911_0),esk912_0),esk911_0)
    | ~ v9_conlat_1(k16_lattice3(k11_conlat_1(esk911_0),esk912_0),esk911_0) ),
    i_0_6292 ).

cnf(c_0_6316,plain,
    ( v3_conlat_1(X1)
    | v9_conlat_1(k15_lattice3(k11_conlat_1(X1),X2),X1)
    | ~ l2_conlat_1(X1) ),
    inference(spm,[status(thm)],[c_0_6312,c_0_6313]) ).

cnf(c_0_6317,negated_conjecture,
    l2_conlat_1(esk911_0),
    i_0_6294 ).

cnf(c_0_6318,negated_conjecture,
    ~ v3_conlat_1(esk911_0),
    i_0_6295 ).

cnf(c_0_6319,plain,
    ( v3_conlat_1(X1)
    | v9_conlat_1(k12_conlat_1(X1,k16_lattice3(k11_conlat_1(X1),X2)),X1)
    | ~ l2_conlat_1(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_6307,c_0_6314]),c_0_6309]),c_0_6310]) ).

cnf(c_0_6320,plain,
    ( k12_conlat_1(X1,k16_lattice3(k11_conlat_1(X1),X2)) = k16_lattice3(k11_conlat_1(X1),X2)
    | v3_conlat_1(X1)
    | ~ l2_conlat_1(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_6311,c_0_6314]),c_0_6309]),c_0_6310]) ).

cnf(c_0_6321,plain,
    ( v3_conlat_1(X1)
    | l3_conlat_1(k12_conlat_1(X1,X2),X1)
    | ~ l2_conlat_1(X1)
    | ~ m1_subset_1(X2,u1_struct_0(k11_conlat_1(X1))) ),
    i_0_1416 ).

cnf(c_0_6322,negated_conjecture,
    ( v7_conlat_1(k16_lattice3(k11_conlat_1(esk911_0),esk912_0),esk911_0)
    | v7_conlat_1(k15_lattice3(k11_conlat_1(esk911_0),esk912_0),esk911_0)
    | ~ v9_conlat_1(k16_lattice3(k11_conlat_1(esk911_0),esk912_0),esk911_0)
    | ~ l3_conlat_1(k15_lattice3(k11_conlat_1(esk911_0),esk912_0),esk911_0)
    | ~ l3_conlat_1(k16_lattice3(k11_conlat_1(esk911_0),esk912_0),esk911_0) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6315,c_0_6316]),c_0_6317])]),c_0_6318]) ).

cnf(c_0_6323,plain,
    ( v3_conlat_1(X1)
    | v9_conlat_1(k16_lattice3(k11_conlat_1(X1),X2),X1)
    | ~ l2_conlat_1(X1) ),
    inference(spm,[status(thm)],[c_0_6319,c_0_6320]) ).

cnf(c_0_6324,plain,
    ( v3_conlat_1(X1)
    | l3_conlat_1(k12_conlat_1(X1,k15_lattice3(k11_conlat_1(X1),X2)),X1)
    | ~ l2_conlat_1(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_6321,c_0_6308]),c_0_6309]),c_0_6310]) ).

cnf(c_0_6325,plain,
    ( v7_conlat_1(k15_lattice3(k11_conlat_1(esk911_0),esk912_0),esk911_0)
    | v7_conlat_1(k16_lattice3(k11_conlat_1(esk911_0),esk912_0),esk911_0)
    | ~ l3_conlat_1(k15_lattice3(k11_conlat_1(esk911_0),esk912_0),esk911_0)
    | ~ l3_conlat_1(k16_lattice3(k11_conlat_1(esk911_0),esk912_0),esk911_0) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6322,c_0_6323]),c_0_6317])]),c_0_6318]) ).

cnf(c_0_6326,plain,
    ( v3_conlat_1(X1)
    | l3_conlat_1(k15_lattice3(k11_conlat_1(X1),X2),X1)
    | ~ l2_conlat_1(X1) ),
    inference(spm,[status(thm)],[c_0_6324,c_0_6313]) ).

cnf(c_0_6327,plain,
    ( v3_conlat_1(X1)
    | l3_conlat_1(k12_conlat_1(X1,k16_lattice3(k11_conlat_1(X1),X2)),X1)
    | ~ l2_conlat_1(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_6321,c_0_6314]),c_0_6309]),c_0_6310]) ).

cnf(c_0_6328,plain,
    ( v3_conlat_1(X1)
    | ~ l2_conlat_1(X1)
    | ~ v7_conlat_1(k12_conlat_1(X1,X2),X1)
    | ~ m1_subset_1(X2,u1_struct_0(k11_conlat_1(X1))) ),
    i_0_1418 ).

cnf(c_0_6329,plain,
    ( v7_conlat_1(k16_lattice3(k11_conlat_1(esk911_0),esk912_0),esk911_0)
    | v7_conlat_1(k15_lattice3(k11_conlat_1(esk911_0),esk912_0),esk911_0)
    | ~ l3_conlat_1(k16_lattice3(k11_conlat_1(esk911_0),esk912_0),esk911_0) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6325,c_0_6326]),c_0_6317])]),c_0_6318]) ).

cnf(c_0_6330,plain,
    ( v3_conlat_1(X1)
    | l3_conlat_1(k16_lattice3(k11_conlat_1(X1),X2),X1)
    | ~ l2_conlat_1(X1) ),
    inference(spm,[status(thm)],[c_0_6327,c_0_6320]) ).

cnf(c_0_6331,plain,
    ( v3_conlat_1(X1)
    | ~ l2_conlat_1(X1)
    | ~ m1_subset_1(k16_lattice3(k11_conlat_1(X1),X2),u1_struct_0(k11_conlat_1(X1)))
    | ~ v7_conlat_1(k16_lattice3(k11_conlat_1(X1),X2),X1) ),
    inference(spm,[status(thm)],[c_0_6328,c_0_6320]) ).

cnf(c_0_6332,plain,
    ( v7_conlat_1(k15_lattice3(k11_conlat_1(esk911_0),esk912_0),esk911_0)
    | v7_conlat_1(k16_lattice3(k11_conlat_1(esk911_0),esk912_0),esk911_0) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6329,c_0_6330]),c_0_6317])]),c_0_6318]) ).

cnf(c_0_6333,plain,
    ( v7_conlat_1(k15_lattice3(k11_conlat_1(esk911_0),esk912_0),esk911_0)
    | ~ m1_subset_1(k16_lattice3(k11_conlat_1(esk911_0),esk912_0),u1_struct_0(k11_conlat_1(esk911_0))) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6331,c_0_6332]),c_0_6317])]),c_0_6318]) ).

cnf(c_0_6334,plain,
    ( v3_struct_0(k11_conlat_1(esk911_0))
    | v7_conlat_1(k15_lattice3(k11_conlat_1(esk911_0),esk912_0),esk911_0)
    | ~ l3_lattices(k11_conlat_1(esk911_0)) ),
    inference(spm,[status(thm)],[c_0_6333,c_0_6314]) ).

cnf(c_0_6335,plain,
    ( v3_conlat_1(X1)
    | ~ l2_conlat_1(X1)
    | ~ m1_subset_1(k15_lattice3(k11_conlat_1(X1),X2),u1_struct_0(k11_conlat_1(X1)))
    | ~ v7_conlat_1(k15_lattice3(k11_conlat_1(X1),X2),X1) ),
    inference(spm,[status(thm)],[c_0_6328,c_0_6313]) ).

cnf(c_0_6336,plain,
    ( v3_struct_0(k11_conlat_1(esk911_0))
    | v7_conlat_1(k15_lattice3(k11_conlat_1(esk911_0),esk912_0),esk911_0) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6334,c_0_6309]),c_0_6317])]),c_0_6318]) ).

cnf(c_0_6337,plain,
    ( v3_struct_0(k11_conlat_1(esk911_0))
    | ~ m1_subset_1(k15_lattice3(k11_conlat_1(esk911_0),esk912_0),u1_struct_0(k11_conlat_1(esk911_0))) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6335,c_0_6336]),c_0_6317])]),c_0_6318]) ).

cnf(c_0_6338,plain,
    ( v3_struct_0(k11_conlat_1(esk911_0))
    | ~ l3_lattices(k11_conlat_1(esk911_0)) ),
    inference(spm,[status(thm)],[c_0_6337,c_0_6308]) ).

cnf(c_0_6339,plain,
    v3_struct_0(k11_conlat_1(esk911_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6338,c_0_6309]),c_0_6317])]),c_0_6318]) ).

cnf(c_0_6340,plain,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6310,c_0_6339]),c_0_6317])]),c_0_6318]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : LAT338+4 : TPTP v8.1.0. Released v3.4.0.
% 0.12/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.34  % Computer : n009.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Wed Jun 29 18:06:16 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.39  # ENIGMATIC: Selected SinE mode:
% 1.90/2.11  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.90/2.11  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 1.90/2.11  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 1.90/2.11  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 33.32/9.53  # ENIGMATIC: Solved by autoschedule-lgb:
% 33.32/9.53  # No SInE strategy applied
% 33.32/9.53  # Trying AutoSched0 for 148 seconds
% 33.32/9.53  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_S4d
% 33.32/9.53  # and selection function SelectCQIPrecWNTNp.
% 33.32/9.53  #
% 33.32/9.53  # Preprocessing time       : 0.036 s
% 33.32/9.53  # Presaturation interreduction done
% 33.32/9.53  
% 33.32/9.53  # Proof found!
% 33.32/9.53  # SZS status Theorem
% 33.32/9.53  # SZS output start CNFRefutation
% See solution above
% 33.32/9.53  # Training examples: 0 positive, 0 negative
% 33.32/9.53  
% 33.32/9.53  # -------------------------------------------------
% 33.32/9.53  # User time                : 2.454 s
% 33.32/9.53  # System time              : 0.077 s
% 33.32/9.53  # Total time               : 2.531 s
% 33.32/9.53  # Maximum resident set size: 7128 pages
% 33.32/9.53  
%------------------------------------------------------------------------------