TSTP Solution File: LAT327+4 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : LAT327+4 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n025.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 04:29:42 EDT 2022

% Result   : Theorem 12.88s 5.84s
% Output   : CNFRefutation 12.88s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   29 (  19 unt;   7 nHn;  29 RR)
%            Number of literals    :   80 (   2 equ;  49 neg)
%            Maximal clause size   :   10 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   1 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-3 aty)
%            Number of variables   :   23 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_1793,plain,
    ( v3_struct_0(X1)
    | r1_boolealg(X1,X2,X3)
    | X2 != X3
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ m1_subset_1(X3,u1_struct_0(X1))
    | ~ m1_subset_1(X2,u1_struct_0(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-854444ix/lgb.p',i_0_1793) ).

cnf(i_0_5735,negated_conjecture,
    m1_subset_1(esk752_0,u1_struct_0(esk750_0)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-854444ix/lgb.p',i_0_5735) ).

cnf(i_0_5738,negated_conjecture,
    v10_lattices(esk750_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-854444ix/lgb.p',i_0_5738) ).

cnf(i_0_5737,negated_conjecture,
    l3_lattices(esk750_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-854444ix/lgb.p',i_0_5737) ).

cnf(i_0_5739,negated_conjecture,
    ~ v3_struct_0(esk750_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-854444ix/lgb.p',i_0_5739) ).

cnf(i_0_5710,plain,
    ( v3_struct_0(X1)
    | r2_hidden(X2,k22_filter_2(X1,X3,X4))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ r3_lattices(X1,X2,X4)
    | ~ r3_lattices(X1,X3,X4)
    | ~ r3_lattices(X1,X3,X2)
    | ~ m1_subset_1(X4,u1_struct_0(X1))
    | ~ m1_subset_1(X2,u1_struct_0(X1))
    | ~ m1_subset_1(X3,u1_struct_0(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-854444ix/lgb.p',i_0_5710) ).

cnf(i_0_5734,negated_conjecture,
    r3_lattices(esk750_0,esk751_0,esk752_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-854444ix/lgb.p',i_0_5734) ).

cnf(i_0_5736,negated_conjecture,
    m1_subset_1(esk751_0,u1_struct_0(esk750_0)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-854444ix/lgb.p',i_0_5736) ).

cnf(i_0_566,plain,
    ( v3_struct_0(X1)
    | r3_lattices(X1,X2,X3)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ r1_boolealg(X1,X3,X2)
    | ~ m1_subset_1(X3,u1_struct_0(X1))
    | ~ m1_subset_1(X2,u1_struct_0(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-854444ix/lgb.p',i_0_566) ).

cnf(i_0_5733,negated_conjecture,
    ( ~ r2_hidden(esk751_0,k22_filter_2(esk750_0,esk751_0,esk752_0))
    | ~ r2_hidden(esk752_0,k22_filter_2(esk750_0,esk751_0,esk752_0)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-854444ix/lgb.p',i_0_5733) ).

cnf(c_0_5750,plain,
    ( v3_struct_0(X1)
    | r1_boolealg(X1,X2,X3)
    | X2 != X3
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ m1_subset_1(X3,u1_struct_0(X1))
    | ~ m1_subset_1(X2,u1_struct_0(X1)) ),
    i_0_1793 ).

cnf(c_0_5751,plain,
    ( r1_boolealg(X1,X2,X2)
    | v3_struct_0(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ m1_subset_1(X2,u1_struct_0(X1)) ),
    inference(er,[status(thm)],[c_0_5750]) ).

cnf(c_0_5752,negated_conjecture,
    m1_subset_1(esk752_0,u1_struct_0(esk750_0)),
    i_0_5735 ).

cnf(c_0_5753,negated_conjecture,
    v10_lattices(esk750_0),
    i_0_5738 ).

cnf(c_0_5754,negated_conjecture,
    l3_lattices(esk750_0),
    i_0_5737 ).

cnf(c_0_5755,negated_conjecture,
    ~ v3_struct_0(esk750_0),
    i_0_5739 ).

cnf(c_0_5756,plain,
    ( v3_struct_0(X1)
    | r2_hidden(X2,k22_filter_2(X1,X3,X4))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ r3_lattices(X1,X2,X4)
    | ~ r3_lattices(X1,X3,X4)
    | ~ r3_lattices(X1,X3,X2)
    | ~ m1_subset_1(X4,u1_struct_0(X1))
    | ~ m1_subset_1(X2,u1_struct_0(X1))
    | ~ m1_subset_1(X3,u1_struct_0(X1)) ),
    i_0_5710 ).

cnf(c_0_5757,negated_conjecture,
    r3_lattices(esk750_0,esk751_0,esk752_0),
    i_0_5734 ).

cnf(c_0_5758,negated_conjecture,
    m1_subset_1(esk751_0,u1_struct_0(esk750_0)),
    i_0_5736 ).

cnf(c_0_5759,plain,
    ( v3_struct_0(X1)
    | r3_lattices(X1,X2,X3)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ r1_boolealg(X1,X3,X2)
    | ~ m1_subset_1(X3,u1_struct_0(X1))
    | ~ m1_subset_1(X2,u1_struct_0(X1)) ),
    i_0_566 ).

cnf(c_0_5760,negated_conjecture,
    r1_boolealg(esk750_0,esk752_0,esk752_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5751,c_0_5752]),c_0_5753]),c_0_5754])]),c_0_5755]) ).

cnf(c_0_5761,negated_conjecture,
    ( r2_hidden(X1,k22_filter_2(esk750_0,esk751_0,esk752_0))
    | ~ r3_lattices(esk750_0,esk751_0,X1)
    | ~ r3_lattices(esk750_0,X1,esk752_0)
    | ~ m1_subset_1(X1,u1_struct_0(esk750_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5756,c_0_5757]),c_0_5753]),c_0_5754]),c_0_5752]),c_0_5758])]),c_0_5755]) ).

cnf(c_0_5762,negated_conjecture,
    r3_lattices(esk750_0,esk752_0,esk752_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_5759,c_0_5760]),c_0_5753]),c_0_5754]),c_0_5752])]),c_0_5755]) ).

cnf(c_0_5763,negated_conjecture,
    r1_boolealg(esk750_0,esk751_0,esk751_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5751,c_0_5758]),c_0_5753]),c_0_5754])]),c_0_5755]) ).

cnf(c_0_5764,negated_conjecture,
    ( ~ r2_hidden(esk751_0,k22_filter_2(esk750_0,esk751_0,esk752_0))
    | ~ r2_hidden(esk752_0,k22_filter_2(esk750_0,esk751_0,esk752_0)) ),
    i_0_5733 ).

cnf(c_0_5765,negated_conjecture,
    r2_hidden(esk752_0,k22_filter_2(esk750_0,esk751_0,esk752_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5761,c_0_5757]),c_0_5762]),c_0_5752])]) ).

cnf(c_0_5766,negated_conjecture,
    r3_lattices(esk750_0,esk751_0,esk751_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_5759,c_0_5763]),c_0_5753]),c_0_5754]),c_0_5758])]),c_0_5755]) ).

cnf(c_0_5767,negated_conjecture,
    ~ r2_hidden(esk751_0,k22_filter_2(esk750_0,esk751_0,esk752_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_5764,c_0_5765])]) ).

cnf(c_0_5768,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5761,c_0_5766]),c_0_5757]),c_0_5758])]),c_0_5767]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : LAT327+4 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n025.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 : Thu Jun 30 04:05:15 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.45  # ENIGMATIC: Selected SinE mode:
% 1.35/1.53  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.35/1.53  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 1.35/1.53  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 1.35/1.53  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 12.88/5.84  # ENIGMATIC: Solved by autoschedule-lgb:
% 12.88/5.84  # No SInE strategy applied
% 12.88/5.84  # Trying AutoSched0 for 149 seconds
% 12.88/5.84  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_S4d
% 12.88/5.84  # and selection function SelectCQIPrecWNTNp.
% 12.88/5.84  #
% 12.88/5.84  # Preprocessing time       : 0.029 s
% 12.88/5.84  # Presaturation interreduction done
% 12.88/5.84  
% 12.88/5.84  # Proof found!
% 12.88/5.84  # SZS status Theorem
% 12.88/5.84  # SZS output start CNFRefutation
% See solution above
% 12.88/5.84  # Training examples: 0 positive, 0 negative
% 12.88/5.84  
% 12.88/5.84  # -------------------------------------------------
% 12.88/5.84  # User time                : 0.195 s
% 12.88/5.84  # System time              : 0.016 s
% 12.88/5.84  # Total time               : 0.211 s
% 12.88/5.84  # Maximum resident set size: 7136 pages
% 12.88/5.84  
%------------------------------------------------------------------------------