TSTP Solution File: LAT291+3 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : LAT291+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 04:28:58 EDT 2022

% Result   : Theorem 47.40s 8.87s
% Output   : CNFRefutation 47.40s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   12
% Syntax   : Number of clauses     :   28 (  15 unt;  11 nHn;  26 RR)
%            Number of literals    :   79 (  13 equ;  39 neg)
%            Maximal clause size   :    7 (   2 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    9 (   7 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   2 con; 0-4 aty)
%            Number of variables   :   17 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_3037,plain,
    ( k4_xboole_0(k7_lopclset(X1),k8_funct_2(u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)),k9_lopclset(X1),X2)) = k8_funct_2(u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)),k9_lopclset(X1),k7_lattices(X1,X2))
    | v3_struct_0(X1)
    | v3_realset2(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ v17_lattices(X1)
    | ~ m1_subset_1(X2,u1_struct_0(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-0m3jazfg/lgb.p',i_0_3037) ).

cnf(i_0_956,plain,
    ( v3_struct_0(X1)
    | m1_subset_1(k5_lattices(X1),u1_struct_0(X1))
    | ~ l1_lattices(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-0m3jazfg/lgb.p',i_0_956) ).

cnf(i_0_1007,plain,
    ( l1_lattices(X1)
    | ~ l3_lattices(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-0m3jazfg/lgb.p',i_0_1007) ).

cnf(i_0_3369,plain,
    ( k8_funct_2(u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)),k9_lopclset(X1),k5_lattices(X1)) = k1_xboole_0
    | v3_struct_0(X1)
    | v3_realset2(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ v17_lattices(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-0m3jazfg/lgb.p',i_0_3369) ).

cnf(i_0_3467,plain,
    k4_xboole_0(X1,k1_xboole_0) = X1,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-0m3jazfg/lgb.p',i_0_3467) ).

cnf(i_0_3394,plain,
    ( k7_lattices(X1,k5_lattices(X1)) = k6_lattices(X1)
    | v3_struct_0(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ v17_lattices(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-0m3jazfg/lgb.p',i_0_3394) ).

cnf(i_0_3395,negated_conjecture,
    k8_funct_2(u1_struct_0(esk523_0),k1_zfmisc_1(k7_lopclset(esk523_0)),k9_lopclset(esk523_0),k6_lattices(esk523_0)) != k7_lopclset(esk523_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-0m3jazfg/lgb.p',i_0_3395) ).

cnf(i_0_3398,negated_conjecture,
    v17_lattices(esk523_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-0m3jazfg/lgb.p',i_0_3398) ).

cnf(i_0_3399,negated_conjecture,
    v10_lattices(esk523_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-0m3jazfg/lgb.p',i_0_3399) ).

cnf(i_0_3396,negated_conjecture,
    l3_lattices(esk523_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-0m3jazfg/lgb.p',i_0_3396) ).

cnf(i_0_3397,negated_conjecture,
    ~ v3_realset2(esk523_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-0m3jazfg/lgb.p',i_0_3397) ).

cnf(i_0_3400,negated_conjecture,
    ~ v3_struct_0(esk523_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-0m3jazfg/lgb.p',i_0_3400) ).

cnf(c_0_3480,plain,
    ( k4_xboole_0(k7_lopclset(X1),k8_funct_2(u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)),k9_lopclset(X1),X2)) = k8_funct_2(u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)),k9_lopclset(X1),k7_lattices(X1,X2))
    | v3_struct_0(X1)
    | v3_realset2(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ v17_lattices(X1)
    | ~ m1_subset_1(X2,u1_struct_0(X1)) ),
    i_0_3037 ).

cnf(c_0_3481,plain,
    ( v3_struct_0(X1)
    | m1_subset_1(k5_lattices(X1),u1_struct_0(X1))
    | ~ l1_lattices(X1) ),
    i_0_956 ).

cnf(c_0_3482,plain,
    ( l1_lattices(X1)
    | ~ l3_lattices(X1) ),
    i_0_1007 ).

cnf(c_0_3483,plain,
    ( k4_xboole_0(k7_lopclset(X1),k8_funct_2(u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)),k9_lopclset(X1),k5_lattices(X1))) = k8_funct_2(u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)),k9_lopclset(X1),k7_lattices(X1,k5_lattices(X1)))
    | v3_realset2(X1)
    | v3_struct_0(X1)
    | ~ v17_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3480,c_0_3481]),c_0_3482]) ).

cnf(c_0_3484,plain,
    ( k8_funct_2(u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)),k9_lopclset(X1),k5_lattices(X1)) = k1_xboole_0
    | v3_struct_0(X1)
    | v3_realset2(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ v17_lattices(X1) ),
    i_0_3369 ).

cnf(c_0_3485,plain,
    k4_xboole_0(X1,k1_xboole_0) = X1,
    i_0_3467 ).

cnf(c_0_3486,plain,
    ( k8_funct_2(u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)),k9_lopclset(X1),k7_lattices(X1,k5_lattices(X1))) = k7_lopclset(X1)
    | v3_realset2(X1)
    | v3_struct_0(X1)
    | ~ v17_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3483,c_0_3484]),c_0_3485]) ).

cnf(c_0_3487,plain,
    ( k7_lattices(X1,k5_lattices(X1)) = k6_lattices(X1)
    | v3_struct_0(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ v17_lattices(X1) ),
    i_0_3394 ).

cnf(c_0_3488,negated_conjecture,
    k8_funct_2(u1_struct_0(esk523_0),k1_zfmisc_1(k7_lopclset(esk523_0)),k9_lopclset(esk523_0),k6_lattices(esk523_0)) != k7_lopclset(esk523_0),
    i_0_3395 ).

cnf(c_0_3489,plain,
    ( k8_funct_2(u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)),k9_lopclset(X1),k6_lattices(X1)) = k7_lopclset(X1)
    | v3_realset2(X1)
    | v3_struct_0(X1)
    | ~ v17_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1) ),
    inference(spm,[status(thm)],[c_0_3486,c_0_3487]) ).

cnf(c_0_3490,negated_conjecture,
    v17_lattices(esk523_0),
    i_0_3398 ).

cnf(c_0_3491,negated_conjecture,
    v10_lattices(esk523_0),
    i_0_3399 ).

cnf(c_0_3492,negated_conjecture,
    l3_lattices(esk523_0),
    i_0_3396 ).

cnf(c_0_3493,negated_conjecture,
    ~ v3_realset2(esk523_0),
    i_0_3397 ).

cnf(c_0_3494,negated_conjecture,
    ~ v3_struct_0(esk523_0),
    i_0_3400 ).

cnf(c_0_3495,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(spm,[status(thm)],[c_0_3488,c_0_3489]),c_0_3490]),c_0_3491]),c_0_3492])]),c_0_3493]),c_0_3494]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : LAT291+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 : n005.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 11:12:41 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  # ENIGMATIC: Selected SinE mode:
% 0.61/0.84  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.61/0.84  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.61/0.84  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.61/0.84  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 47.40/8.87  # ENIGMATIC: Solved by autoschedule-lgb:
% 47.40/8.87  # No SInE strategy applied
% 47.40/8.87  # Trying AutoSched0 for 149 seconds
% 47.40/8.87  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_S4d
% 47.40/8.87  # and selection function SelectCQIPrecWNTNp.
% 47.40/8.87  #
% 47.40/8.87  # Preprocessing time       : 0.018 s
% 47.40/8.87  # Presaturation interreduction done
% 47.40/8.87  
% 47.40/8.87  # Proof found!
% 47.40/8.87  # SZS status Theorem
% 47.40/8.87  # SZS output start CNFRefutation
% See solution above
% 47.40/8.87  # Training examples: 0 positive, 0 negative
% 47.40/8.87  
% 47.40/8.87  # -------------------------------------------------
% 47.40/8.87  # User time                : 4.416 s
% 47.40/8.87  # System time              : 0.210 s
% 47.40/8.87  # Total time               : 4.626 s
% 47.40/8.87  # Maximum resident set size: 7124 pages
% 47.40/8.87  
%------------------------------------------------------------------------------