TSTP Solution File: LAT338+3 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : LAT338+3 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n005.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 04:29:54 EDT 2022

% Result   : Theorem 16.32s 6.32s
% Output   : CNFRefutation 16.32s
% 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_1605,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-7w8r1bzb/lgb.p',i_0_1605) ).

cnf(i_0_1610,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-7w8r1bzb/lgb.p',i_0_1610) ).

cnf(i_0_6518,plain,
    ( v3_conlat_1(X1)
    | l3_lattices(k11_conlat_1(X1))
    | ~ l2_conlat_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7w8r1bzb/lgb.p',i_0_6518) ).

cnf(i_0_6521,plain,
    ( v3_conlat_1(X1)
    | ~ l2_conlat_1(X1)
    | ~ v3_struct_0(k11_conlat_1(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7w8r1bzb/lgb.p',i_0_6521) ).

cnf(i_0_961,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-7w8r1bzb/lgb.p',i_0_961) ).

cnf(i_0_1611,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-7w8r1bzb/lgb.p',i_0_1611) ).

cnf(i_0_6617,negated_conjecture,
    ( v7_conlat_1(k15_lattice3(k11_conlat_1(esk933_0),esk934_0),esk933_0)
    | v7_conlat_1(k16_lattice3(k11_conlat_1(esk933_0),esk934_0),esk933_0)
    | ~ l3_conlat_1(k15_lattice3(k11_conlat_1(esk933_0),esk934_0),esk933_0)
    | ~ l3_conlat_1(k16_lattice3(k11_conlat_1(esk933_0),esk934_0),esk933_0)
    | ~ v9_conlat_1(k15_lattice3(k11_conlat_1(esk933_0),esk934_0),esk933_0)
    | ~ v9_conlat_1(k16_lattice3(k11_conlat_1(esk933_0),esk934_0),esk933_0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7w8r1bzb/lgb.p',i_0_6617) ).

cnf(i_0_6619,negated_conjecture,
    l2_conlat_1(esk933_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7w8r1bzb/lgb.p',i_0_6619) ).

cnf(i_0_6620,negated_conjecture,
    ~ v3_conlat_1(esk933_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7w8r1bzb/lgb.p',i_0_6620) ).

cnf(i_0_1604,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-7w8r1bzb/lgb.p',i_0_1604) ).

cnf(i_0_1606,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-7w8r1bzb/lgb.p',i_0_1606) ).

cnf(c_0_6632,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_1605 ).

cnf(c_0_6633,plain,
    ( v3_struct_0(X1)
    | m1_subset_1(k15_lattice3(X1,X2),u1_struct_0(X1))
    | ~ l3_lattices(X1) ),
    i_0_1610 ).

cnf(c_0_6634,plain,
    ( v3_conlat_1(X1)
    | l3_lattices(k11_conlat_1(X1))
    | ~ l2_conlat_1(X1) ),
    i_0_6518 ).

cnf(c_0_6635,plain,
    ( v3_conlat_1(X1)
    | ~ l2_conlat_1(X1)
    | ~ v3_struct_0(k11_conlat_1(X1)) ),
    i_0_6521 ).

cnf(c_0_6636,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_961 ).

cnf(c_0_6637,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_6632,c_0_6633]),c_0_6634]),c_0_6635]) ).

cnf(c_0_6638,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_6636,c_0_6633]),c_0_6634]),c_0_6635]) ).

cnf(c_0_6639,plain,
    ( v3_struct_0(X1)
    | m1_subset_1(k16_lattice3(X1,X2),u1_struct_0(X1))
    | ~ l3_lattices(X1) ),
    i_0_1611 ).

cnf(c_0_6640,negated_conjecture,
    ( v7_conlat_1(k15_lattice3(k11_conlat_1(esk933_0),esk934_0),esk933_0)
    | v7_conlat_1(k16_lattice3(k11_conlat_1(esk933_0),esk934_0),esk933_0)
    | ~ l3_conlat_1(k15_lattice3(k11_conlat_1(esk933_0),esk934_0),esk933_0)
    | ~ l3_conlat_1(k16_lattice3(k11_conlat_1(esk933_0),esk934_0),esk933_0)
    | ~ v9_conlat_1(k15_lattice3(k11_conlat_1(esk933_0),esk934_0),esk933_0)
    | ~ v9_conlat_1(k16_lattice3(k11_conlat_1(esk933_0),esk934_0),esk933_0) ),
    i_0_6617 ).

cnf(c_0_6641,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_6637,c_0_6638]) ).

cnf(c_0_6642,negated_conjecture,
    l2_conlat_1(esk933_0),
    i_0_6619 ).

cnf(c_0_6643,negated_conjecture,
    ~ v3_conlat_1(esk933_0),
    i_0_6620 ).

cnf(c_0_6644,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_6632,c_0_6639]),c_0_6634]),c_0_6635]) ).

cnf(c_0_6645,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_6636,c_0_6639]),c_0_6634]),c_0_6635]) ).

cnf(c_0_6646,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_1604 ).

cnf(c_0_6647,negated_conjecture,
    ( v7_conlat_1(k16_lattice3(k11_conlat_1(esk933_0),esk934_0),esk933_0)
    | v7_conlat_1(k15_lattice3(k11_conlat_1(esk933_0),esk934_0),esk933_0)
    | ~ v9_conlat_1(k16_lattice3(k11_conlat_1(esk933_0),esk934_0),esk933_0)
    | ~ l3_conlat_1(k15_lattice3(k11_conlat_1(esk933_0),esk934_0),esk933_0)
    | ~ l3_conlat_1(k16_lattice3(k11_conlat_1(esk933_0),esk934_0),esk933_0) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6640,c_0_6641]),c_0_6642])]),c_0_6643]) ).

cnf(c_0_6648,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_6644,c_0_6645]) ).

cnf(c_0_6649,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_6646,c_0_6633]),c_0_6634]),c_0_6635]) ).

cnf(c_0_6650,plain,
    ( v7_conlat_1(k15_lattice3(k11_conlat_1(esk933_0),esk934_0),esk933_0)
    | v7_conlat_1(k16_lattice3(k11_conlat_1(esk933_0),esk934_0),esk933_0)
    | ~ l3_conlat_1(k15_lattice3(k11_conlat_1(esk933_0),esk934_0),esk933_0)
    | ~ l3_conlat_1(k16_lattice3(k11_conlat_1(esk933_0),esk934_0),esk933_0) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6647,c_0_6648]),c_0_6642])]),c_0_6643]) ).

cnf(c_0_6651,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_6649,c_0_6638]) ).

cnf(c_0_6652,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_6646,c_0_6639]),c_0_6634]),c_0_6635]) ).

cnf(c_0_6653,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_1606 ).

cnf(c_0_6654,plain,
    ( v7_conlat_1(k16_lattice3(k11_conlat_1(esk933_0),esk934_0),esk933_0)
    | v7_conlat_1(k15_lattice3(k11_conlat_1(esk933_0),esk934_0),esk933_0)
    | ~ l3_conlat_1(k16_lattice3(k11_conlat_1(esk933_0),esk934_0),esk933_0) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6650,c_0_6651]),c_0_6642])]),c_0_6643]) ).

cnf(c_0_6655,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_6652,c_0_6645]) ).

cnf(c_0_6656,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_6653,c_0_6645]) ).

cnf(c_0_6657,plain,
    ( v7_conlat_1(k15_lattice3(k11_conlat_1(esk933_0),esk934_0),esk933_0)
    | v7_conlat_1(k16_lattice3(k11_conlat_1(esk933_0),esk934_0),esk933_0) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6654,c_0_6655]),c_0_6642])]),c_0_6643]) ).

cnf(c_0_6658,plain,
    ( v7_conlat_1(k15_lattice3(k11_conlat_1(esk933_0),esk934_0),esk933_0)
    | ~ m1_subset_1(k16_lattice3(k11_conlat_1(esk933_0),esk934_0),u1_struct_0(k11_conlat_1(esk933_0))) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6656,c_0_6657]),c_0_6642])]),c_0_6643]) ).

cnf(c_0_6659,plain,
    ( v3_struct_0(k11_conlat_1(esk933_0))
    | v7_conlat_1(k15_lattice3(k11_conlat_1(esk933_0),esk934_0),esk933_0)
    | ~ l3_lattices(k11_conlat_1(esk933_0)) ),
    inference(spm,[status(thm)],[c_0_6658,c_0_6639]) ).

cnf(c_0_6660,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_6653,c_0_6638]) ).

cnf(c_0_6661,plain,
    ( v3_struct_0(k11_conlat_1(esk933_0))
    | v7_conlat_1(k15_lattice3(k11_conlat_1(esk933_0),esk934_0),esk933_0) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6659,c_0_6634]),c_0_6642])]),c_0_6643]) ).

cnf(c_0_6662,plain,
    ( v3_struct_0(k11_conlat_1(esk933_0))
    | ~ m1_subset_1(k15_lattice3(k11_conlat_1(esk933_0),esk934_0),u1_struct_0(k11_conlat_1(esk933_0))) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6660,c_0_6661]),c_0_6642])]),c_0_6643]) ).

cnf(c_0_6663,plain,
    ( v3_struct_0(k11_conlat_1(esk933_0))
    | ~ l3_lattices(k11_conlat_1(esk933_0)) ),
    inference(spm,[status(thm)],[c_0_6662,c_0_6633]) ).

cnf(c_0_6664,plain,
    v3_struct_0(k11_conlat_1(esk933_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6663,c_0_6634]),c_0_6642])]),c_0_6643]) ).

cnf(c_0_6665,plain,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6635,c_0_6664]),c_0_6642])]),c_0_6643]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : LAT338+3 : TPTP v8.1.0. Released v3.4.0.
% 0.06/0.11  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.32  % Computer : n005.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 : Tue Jun 28 23:38:12 EDT 2022
% 0.12/0.32  % CPUTime  : 
% 0.17/0.43  # ENIGMATIC: Selected SinE mode:
% 0.81/1.05  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.81/1.05  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.81/1.05  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.81/1.05  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 16.32/6.32  # ENIGMATIC: Solved by autoschedule-lgb:
% 16.32/6.32  # No SInE strategy applied
% 16.32/6.32  # Trying AutoSched0 for 149 seconds
% 16.32/6.32  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_S4d
% 16.32/6.32  # and selection function SelectCQIPrecWNTNp.
% 16.32/6.32  #
% 16.32/6.32  # Preprocessing time       : 0.021 s
% 16.32/6.32  # Presaturation interreduction done
% 16.32/6.32  
% 16.32/6.32  # Proof found!
% 16.32/6.32  # SZS status Theorem
% 16.32/6.32  # SZS output start CNFRefutation
% See solution above
% 16.32/6.32  # Training examples: 0 positive, 0 negative
% 16.32/6.32  
% 16.32/6.32  # -------------------------------------------------
% 16.32/6.32  # User time                : 0.530 s
% 16.32/6.32  # System time              : 0.017 s
% 16.32/6.32  # Total time               : 0.547 s
% 16.32/6.32  # Maximum resident set size: 7124 pages
% 16.32/6.32  
%------------------------------------------------------------------------------