TSTP Solution File: LAT288+3 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : LAT288+3 : 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 04:28:55 EDT 2022

% Result   : Theorem 16.33s 4.85s
% Output   : CNFRefutation 16.33s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   13
% Syntax   : Number of clauses     :   33 (  15 unt;  16 nHn;  28 RR)
%            Number of literals    :  136 (   5 equ;  76 neg)
%            Maximal clause size   :    9 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   12 (  10 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   2 con; 0-3 aty)
%            Number of variables   :   47 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_2485,plain,
    ( v3_struct_0(X1)
    | v3_realset2(X1)
    | r2_hidden(X2,k7_lopclset(X1))
    | X3 != X2
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ v17_lattices(X1)
    | ~ m1_filter_0(X3,X1)
    | ~ v1_filter_0(X3,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-290tkz8a/lgb.p',i_0_2485) ).

cnf(i_0_1270,plain,
    ( esk208_3(X1,X2,X3) = X1
    | v3_struct_0(X2)
    | v3_realset2(X2)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ v17_lattices(X2)
    | ~ m1_subset_1(X3,u1_struct_0(X2))
    | ~ r2_hidden(X1,a_2_0_lopclset(X2,X3)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-290tkz8a/lgb.p',i_0_1270) ).

cnf(i_0_538,plain,
    ( r1_tarski(X1,X2)
    | r2_hidden(esk105_2(X1,X2),X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-290tkz8a/lgb.p',i_0_538) ).

cnf(i_0_537,plain,
    ( r1_tarski(X1,X2)
    | ~ r2_hidden(esk105_2(X1,X2),X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-290tkz8a/lgb.p',i_0_537) ).

cnf(i_0_1269,plain,
    ( v3_struct_0(X1)
    | v3_realset2(X1)
    | v1_filter_0(esk208_3(X2,X1,X3),X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ v17_lattices(X1)
    | ~ m1_subset_1(X3,u1_struct_0(X1))
    | ~ r2_hidden(X2,a_2_0_lopclset(X1,X3)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-290tkz8a/lgb.p',i_0_1269) ).

cnf(i_0_1271,plain,
    ( v3_struct_0(X1)
    | v3_realset2(X1)
    | m1_filter_0(esk208_3(X2,X1,X3),X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ v17_lattices(X1)
    | ~ m1_subset_1(X3,u1_struct_0(X1))
    | ~ r2_hidden(X2,a_2_0_lopclset(X1,X3)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-290tkz8a/lgb.p',i_0_1271) ).

cnf(i_0_2560,negated_conjecture,
    ~ r1_tarski(a_2_0_lopclset(esk395_0,esk396_0),k7_lopclset(esk395_0)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-290tkz8a/lgb.p',i_0_2560) ).

cnf(i_0_2564,negated_conjecture,
    v17_lattices(esk395_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-290tkz8a/lgb.p',i_0_2564) ).

cnf(i_0_2565,negated_conjecture,
    v10_lattices(esk395_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-290tkz8a/lgb.p',i_0_2565) ).

cnf(i_0_2562,negated_conjecture,
    l3_lattices(esk395_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-290tkz8a/lgb.p',i_0_2562) ).

cnf(i_0_2561,negated_conjecture,
    m1_subset_1(esk396_0,u1_struct_0(esk395_0)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-290tkz8a/lgb.p',i_0_2561) ).

cnf(i_0_2563,negated_conjecture,
    ~ v3_realset2(esk395_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-290tkz8a/lgb.p',i_0_2563) ).

cnf(i_0_2566,negated_conjecture,
    ~ v3_struct_0(esk395_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-290tkz8a/lgb.p',i_0_2566) ).

cnf(c_0_2580,plain,
    ( v3_struct_0(X1)
    | v3_realset2(X1)
    | r2_hidden(X2,k7_lopclset(X1))
    | X3 != X2
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ v17_lattices(X1)
    | ~ m1_filter_0(X3,X1)
    | ~ v1_filter_0(X3,X1) ),
    i_0_2485 ).

cnf(c_0_2581,plain,
    ( esk208_3(X1,X2,X3) = X1
    | v3_struct_0(X2)
    | v3_realset2(X2)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ v17_lattices(X2)
    | ~ m1_subset_1(X3,u1_struct_0(X2))
    | ~ r2_hidden(X1,a_2_0_lopclset(X2,X3)) ),
    i_0_1270 ).

cnf(c_0_2582,plain,
    ( r1_tarski(X1,X2)
    | r2_hidden(esk105_2(X1,X2),X1) ),
    i_0_538 ).

cnf(c_0_2583,plain,
    ( r1_tarski(X1,X2)
    | ~ r2_hidden(esk105_2(X1,X2),X2) ),
    i_0_537 ).

cnf(c_0_2584,plain,
    ( r2_hidden(X1,k7_lopclset(X2))
    | v3_realset2(X2)
    | v3_struct_0(X2)
    | ~ v1_filter_0(X1,X2)
    | ~ m1_filter_0(X1,X2)
    | ~ v17_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ l3_lattices(X2) ),
    inference(er,[status(thm)],[c_0_2580]) ).

cnf(c_0_2585,plain,
    ( v3_struct_0(X1)
    | v3_realset2(X1)
    | v1_filter_0(esk208_3(X2,X1,X3),X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ v17_lattices(X1)
    | ~ m1_subset_1(X3,u1_struct_0(X1))
    | ~ r2_hidden(X2,a_2_0_lopclset(X1,X3)) ),
    i_0_1269 ).

cnf(c_0_2586,plain,
    ( esk208_3(esk105_2(a_2_0_lopclset(X1,X2),X3),X1,X2) = esk105_2(a_2_0_lopclset(X1,X2),X3)
    | v3_realset2(X1)
    | v3_struct_0(X1)
    | r1_tarski(a_2_0_lopclset(X1,X2),X3)
    | ~ v17_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ m1_subset_1(X2,u1_struct_0(X1)) ),
    inference(spm,[status(thm)],[c_0_2581,c_0_2582]) ).

cnf(c_0_2587,plain,
    ( v3_struct_0(X1)
    | v3_realset2(X1)
    | m1_filter_0(esk208_3(X2,X1,X3),X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ v17_lattices(X1)
    | ~ m1_subset_1(X3,u1_struct_0(X1))
    | ~ r2_hidden(X2,a_2_0_lopclset(X1,X3)) ),
    i_0_1271 ).

cnf(c_0_2588,plain,
    ( v3_realset2(X1)
    | v3_struct_0(X1)
    | r1_tarski(X2,k7_lopclset(X1))
    | ~ v1_filter_0(esk105_2(X2,k7_lopclset(X1)),X1)
    | ~ m1_filter_0(esk105_2(X2,k7_lopclset(X1)),X1)
    | ~ v17_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1) ),
    inference(spm,[status(thm)],[c_0_2583,c_0_2584]) ).

cnf(c_0_2589,plain,
    ( v1_filter_0(esk105_2(a_2_0_lopclset(X1,X2),X3),X1)
    | v3_realset2(X1)
    | v3_struct_0(X1)
    | r1_tarski(a_2_0_lopclset(X1,X2),X3)
    | ~ v17_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ m1_subset_1(X2,u1_struct_0(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2585,c_0_2586]),c_0_2582]) ).

cnf(c_0_2590,plain,
    ( m1_filter_0(esk105_2(a_2_0_lopclset(X1,X2),X3),X1)
    | v3_realset2(X1)
    | v3_struct_0(X1)
    | r1_tarski(a_2_0_lopclset(X1,X2),X3)
    | ~ v17_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ m1_subset_1(X2,u1_struct_0(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2587,c_0_2586]),c_0_2582]) ).

cnf(c_0_2591,negated_conjecture,
    ~ r1_tarski(a_2_0_lopclset(esk395_0,esk396_0),k7_lopclset(esk395_0)),
    i_0_2560 ).

cnf(c_0_2592,plain,
    ( v3_realset2(X1)
    | v3_struct_0(X1)
    | r1_tarski(a_2_0_lopclset(X1,X2),k7_lopclset(X1))
    | ~ v17_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ m1_subset_1(X2,u1_struct_0(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2588,c_0_2589]),c_0_2590]) ).

cnf(c_0_2593,negated_conjecture,
    v17_lattices(esk395_0),
    i_0_2564 ).

cnf(c_0_2594,negated_conjecture,
    v10_lattices(esk395_0),
    i_0_2565 ).

cnf(c_0_2595,negated_conjecture,
    l3_lattices(esk395_0),
    i_0_2562 ).

cnf(c_0_2596,negated_conjecture,
    m1_subset_1(esk396_0,u1_struct_0(esk395_0)),
    i_0_2561 ).

cnf(c_0_2597,negated_conjecture,
    ~ v3_realset2(esk395_0),
    i_0_2563 ).

cnf(c_0_2598,negated_conjecture,
    ~ v3_struct_0(esk395_0),
    i_0_2566 ).

cnf(c_0_2599,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[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_2591,c_0_2592]),c_0_2593]),c_0_2594]),c_0_2595]),c_0_2596])]),c_0_2597]),c_0_2598]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : LAT288+3 : TPTP v8.1.0. Released v3.4.0.
% 0.10/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n009.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 04:39:40 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.18/0.45  # ENIGMATIC: Selected SinE mode:
% 0.59/0.85  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.59/0.85  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.59/0.85  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.59/0.85  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 16.33/4.85  # ENIGMATIC: Solved by autoschedule-lgb:
% 16.33/4.85  # No SInE strategy applied
% 16.33/4.85  # Trying AutoSched0 for 149 seconds
% 16.33/4.85  # AutoSched0-Mode selected heuristic G_E___302_C18_F1_URBAN_S5PRR_RG_S0Y
% 16.33/4.85  # and selection function SelectMaxLComplexAvoidPosPred.
% 16.33/4.85  #
% 16.33/4.85  # Preprocessing time       : 0.043 s
% 16.33/4.85  
% 16.33/4.85  # Proof found!
% 16.33/4.85  # SZS status Theorem
% 16.33/4.85  # SZS output start CNFRefutation
% See solution above
% 16.33/4.85  # Training examples: 0 positive, 0 negative
% 16.33/4.85  
% 16.33/4.85  # -------------------------------------------------
% 16.33/4.85  # User time                : 0.754 s
% 16.33/4.85  # System time              : 0.026 s
% 16.33/4.85  # Total time               : 0.780 s
% 16.33/4.85  # Maximum resident set size: 7128 pages
% 16.33/4.85  
%------------------------------------------------------------------------------