TSTP Solution File: LAT303+3 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : LAT303+3 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n011.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 04:29:13 EDT 2022

% Result   : Theorem 26.63s 6.94s
% Output   : CNFRefutation 26.63s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   19
% Syntax   : Number of clauses     :   56 (  21 unt;  14 nHn;  56 RR)
%            Number of literals    :  136 (   6 equ;  74 neg)
%            Maximal clause size   :    6 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   14 (  12 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   2 con; 0-2 aty)
%            Number of variables   :   38 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_1190,plain,
    ( l1_struct_0(X1)
    | ~ l2_lattices(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ffbb_su3/lgb.p',i_0_1190) ).

cnf(i_0_1192,plain,
    ( l2_lattices(X1)
    | ~ l3_lattices(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ffbb_su3/lgb.p',i_0_1192) ).

cnf(i_0_596,plain,
    ( v3_struct_0(X1)
    | ~ l1_struct_0(X1)
    | ~ v1_xboole_0(u1_struct_0(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ffbb_su3/lgb.p',i_0_596) ).

cnf(i_0_3079,plain,
    ( u1_struct_0(k1_lattice2(X1)) = u1_struct_0(X1)
    | v3_struct_0(X1)
    | ~ l3_lattices(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ffbb_su3/lgb.p',i_0_3079) ).

cnf(i_0_3665,negated_conjecture,
    l3_lattices(esk568_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ffbb_su3/lgb.p',i_0_3665) ).

cnf(i_0_3667,negated_conjecture,
    ~ v3_struct_0(esk568_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ffbb_su3/lgb.p',i_0_3667) ).

cnf(i_0_1093,plain,
    ( l3_lattices(k1_lattice2(X1))
    | ~ l3_lattices(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ffbb_su3/lgb.p',i_0_1093) ).

cnf(i_0_1363,plain,
    ( v3_struct_0(X1)
    | ~ l3_lattices(X1)
    | ~ v3_struct_0(k1_lattice2(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ffbb_su3/lgb.p',i_0_1363) ).

cnf(i_0_597,plain,
    ( v1_xboole_0(u1_struct_0(X1))
    | ~ v3_struct_0(X1)
    | ~ l1_struct_0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ffbb_su3/lgb.p',i_0_597) ).

cnf(i_0_2192,plain,
    ( k6_domain_1(X1,X2) = k2_tarski(X2,X2)
    | v1_xboole_0(X1)
    | ~ m1_subset_1(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ffbb_su3/lgb.p',i_0_2192) ).

cnf(i_0_3664,negated_conjecture,
    m1_subset_1(esk569_0,u1_struct_0(esk568_0)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ffbb_su3/lgb.p',i_0_3664) ).

cnf(i_0_3663,negated_conjecture,
    m2_filter_2(k6_domain_1(u1_struct_0(esk568_0),esk569_0),esk568_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ffbb_su3/lgb.p',i_0_3663) ).

cnf(i_0_1545,plain,
    ( v3_struct_0(X1)
    | v10_lattices(k1_lattice2(X1))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ffbb_su3/lgb.p',i_0_1545) ).

cnf(i_0_3666,negated_conjecture,
    v10_lattices(esk568_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ffbb_su3/lgb.p',i_0_3666) ).

cnf(i_0_3327,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-ffbb_su3/lgb.p',i_0_3327) ).

cnf(i_0_2725,plain,
    ( v3_struct_0(X1)
    | v14_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ m1_subset_1(X2,u1_struct_0(X1))
    | ~ m1_filter_0(k6_domain_1(u1_struct_0(X1),X2),X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ffbb_su3/lgb.p',i_0_2725) ).

cnf(i_0_2200,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-ffbb_su3/lgb.p',i_0_2200) ).

cnf(i_0_5353,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-ffbb_su3/lgb.p',i_0_5353) ).

cnf(i_0_3662,negated_conjecture,
    ~ v13_lattices(esk568_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ffbb_su3/lgb.p',i_0_3662) ).

cnf(c_0_5373,plain,
    ( l1_struct_0(X1)
    | ~ l2_lattices(X1) ),
    i_0_1190 ).

cnf(c_0_5374,plain,
    ( l2_lattices(X1)
    | ~ l3_lattices(X1) ),
    i_0_1192 ).

cnf(c_0_5375,plain,
    ( v3_struct_0(X1)
    | ~ l1_struct_0(X1)
    | ~ v1_xboole_0(u1_struct_0(X1)) ),
    i_0_596 ).

cnf(c_0_5376,plain,
    ( l1_struct_0(X1)
    | ~ l3_lattices(X1) ),
    inference(spm,[status(thm)],[c_0_5373,c_0_5374]) ).

cnf(c_0_5377,plain,
    ( u1_struct_0(k1_lattice2(X1)) = u1_struct_0(X1)
    | v3_struct_0(X1)
    | ~ l3_lattices(X1) ),
    i_0_3079 ).

cnf(c_0_5378,negated_conjecture,
    l3_lattices(esk568_0),
    i_0_3665 ).

cnf(c_0_5379,negated_conjecture,
    ~ v3_struct_0(esk568_0),
    i_0_3667 ).

cnf(c_0_5380,plain,
    ( v3_struct_0(X1)
    | ~ v1_xboole_0(u1_struct_0(X1))
    | ~ l3_lattices(X1) ),
    inference(spm,[status(thm)],[c_0_5375,c_0_5376]) ).

cnf(c_0_5381,negated_conjecture,
    u1_struct_0(k1_lattice2(esk568_0)) = u1_struct_0(esk568_0),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_5377,c_0_5378]),c_0_5379]) ).

cnf(c_0_5382,plain,
    ( v3_struct_0(k1_lattice2(esk568_0))
    | ~ v1_xboole_0(u1_struct_0(esk568_0))
    | ~ l3_lattices(k1_lattice2(esk568_0)) ),
    inference(spm,[status(thm)],[c_0_5380,c_0_5381]) ).

cnf(c_0_5383,plain,
    ( l3_lattices(k1_lattice2(X1))
    | ~ l3_lattices(X1) ),
    i_0_1093 ).

cnf(c_0_5384,plain,
    ( v3_struct_0(X1)
    | ~ l3_lattices(X1)
    | ~ v3_struct_0(k1_lattice2(X1)) ),
    i_0_1363 ).

cnf(c_0_5385,plain,
    ( v3_struct_0(k1_lattice2(esk568_0))
    | ~ v1_xboole_0(u1_struct_0(esk568_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5382,c_0_5383]),c_0_5378])]) ).

cnf(c_0_5386,plain,
    ( v1_xboole_0(u1_struct_0(X1))
    | ~ v3_struct_0(X1)
    | ~ l1_struct_0(X1) ),
    i_0_597 ).

cnf(c_0_5387,plain,
    ( k6_domain_1(X1,X2) = k2_tarski(X2,X2)
    | v1_xboole_0(X1)
    | ~ m1_subset_1(X2,X1) ),
    i_0_2192 ).

cnf(c_0_5388,negated_conjecture,
    m1_subset_1(esk569_0,u1_struct_0(esk568_0)),
    i_0_3664 ).

cnf(c_0_5389,plain,
    ~ v1_xboole_0(u1_struct_0(esk568_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5384,c_0_5385]),c_0_5378])]),c_0_5379]) ).

cnf(c_0_5390,plain,
    ( v1_xboole_0(u1_struct_0(X1))
    | ~ l3_lattices(X1)
    | ~ v3_struct_0(X1) ),
    inference(spm,[status(thm)],[c_0_5386,c_0_5376]) ).

cnf(c_0_5391,negated_conjecture,
    m2_filter_2(k6_domain_1(u1_struct_0(esk568_0),esk569_0),esk568_0),
    i_0_3663 ).

cnf(c_0_5392,negated_conjecture,
    k6_domain_1(u1_struct_0(esk568_0),esk569_0) = k2_tarski(esk569_0,esk569_0),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_5387,c_0_5388]),c_0_5389]) ).

cnf(c_0_5393,plain,
    ( v3_struct_0(X1)
    | v10_lattices(k1_lattice2(X1))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    i_0_1545 ).

cnf(c_0_5394,negated_conjecture,
    v10_lattices(esk568_0),
    i_0_3666 ).

cnf(c_0_5395,plain,
    ( ~ l3_lattices(k1_lattice2(esk568_0))
    | ~ v3_struct_0(k1_lattice2(esk568_0)) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_5390,c_0_5381]),c_0_5389]) ).

cnf(c_0_5396,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_3327 ).

cnf(c_0_5397,negated_conjecture,
    m2_filter_2(k2_tarski(esk569_0,esk569_0),esk568_0),
    inference(rw,[status(thm)],[c_0_5391,c_0_5392]) ).

cnf(c_0_5398,plain,
    ( v3_struct_0(X1)
    | v14_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ m1_subset_1(X2,u1_struct_0(X1))
    | ~ m1_filter_0(k6_domain_1(u1_struct_0(X1),X2),X1) ),
    i_0_2725 ).

cnf(c_0_5399,negated_conjecture,
    v10_lattices(k1_lattice2(esk568_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5393,c_0_5394]),c_0_5378])]),c_0_5379]) ).

cnf(c_0_5400,plain,
    ~ v3_struct_0(k1_lattice2(esk568_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5395,c_0_5383]),c_0_5378])]) ).

cnf(c_0_5401,plain,
    ( v3_struct_0(X1)
    | m1_filter_0(X2,X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ m1_filter_2(X2,X1) ),
    i_0_2200 ).

cnf(c_0_5402,negated_conjecture,
    m1_filter_2(k2_tarski(esk569_0,esk569_0),k1_lattice2(esk568_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5396,c_0_5397]),c_0_5394]),c_0_5378])]),c_0_5379]) ).

cnf(c_0_5403,negated_conjecture,
    ( v14_lattices(k1_lattice2(esk568_0))
    | ~ m1_filter_0(k6_domain_1(u1_struct_0(esk568_0),X1),k1_lattice2(esk568_0))
    | ~ l3_lattices(k1_lattice2(esk568_0))
    | ~ m1_subset_1(X1,u1_struct_0(esk568_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5398,c_0_5381]),c_0_5399])]),c_0_5400]) ).

cnf(c_0_5404,plain,
    ( m1_filter_0(k2_tarski(esk569_0,esk569_0),k1_lattice2(esk568_0))
    | ~ l3_lattices(k1_lattice2(esk568_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5401,c_0_5402]),c_0_5399])]),c_0_5400]) ).

cnf(c_0_5405,plain,
    ( v3_struct_0(X1)
    | v13_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ v14_lattices(k1_lattice2(X1)) ),
    i_0_5353 ).

cnf(c_0_5406,negated_conjecture,
    ( v14_lattices(k1_lattice2(esk568_0))
    | ~ l3_lattices(k1_lattice2(esk568_0)) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5403,c_0_5392]),c_0_5388])]),c_0_5404]) ).

cnf(c_0_5407,negated_conjecture,
    ~ v13_lattices(esk568_0),
    i_0_3662 ).

cnf(c_0_5408,plain,
    ~ l3_lattices(k1_lattice2(esk568_0)),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5405,c_0_5406]),c_0_5394]),c_0_5378])]),c_0_5407]),c_0_5379]) ).

cnf(c_0_5409,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5408,c_0_5383]),c_0_5378])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : LAT303+3 : TPTP v8.1.0. Released v3.4.0.
% 0.11/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.11/0.33  % Computer : n011.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 600
% 0.11/0.33  % DateTime : Wed Jun 29 19:26:35 EDT 2022
% 0.11/0.33  % CPUTime  : 
% 0.18/0.44  # ENIGMATIC: Selected SinE mode:
% 0.70/0.90  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.70/0.90  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.70/0.90  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.70/0.90  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 26.63/6.94  # ENIGMATIC: Solved by autoschedule-lgb:
% 26.63/6.94  # No SInE strategy applied
% 26.63/6.94  # Trying AutoSched0 for 149 seconds
% 26.63/6.94  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 26.63/6.94  # and selection function SelectComplexExceptUniqMaxHorn.
% 26.63/6.94  #
% 26.63/6.94  # Preprocessing time       : 0.032 s
% 26.63/6.94  # Presaturation interreduction done
% 26.63/6.94  
% 26.63/6.94  # Proof found!
% 26.63/6.94  # SZS status Theorem
% 26.63/6.94  # SZS output start CNFRefutation
% See solution above
% 26.63/6.94  # Training examples: 0 positive, 0 negative
% 26.63/6.94  
% 26.63/6.94  # -------------------------------------------------
% 26.63/6.94  # User time                : 1.971 s
% 26.63/6.94  # System time              : 0.052 s
% 26.63/6.94  # Total time               : 2.023 s
% 26.63/6.94  # Maximum resident set size: 7128 pages
% 26.63/6.94  
%------------------------------------------------------------------------------