TSTP Solution File: SEU304+2 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SEU304+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n020.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 : Tue Jul 19 08:40:37 EDT 2022

% Result   : Theorem 8.23s 2.78s
% Output   : CNFRefutation 8.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   14
% Syntax   : Number of clauses     :   41 (  19 unt;  10 nHn;  41 RR)
%            Number of literals    :  106 (  16 equ;  62 neg)
%            Maximal clause size   :    6 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   10 (   8 usr;   1 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-3 aty)
%            Number of variables   :   40 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_365,plain,
    ( meet_semilatt_str(X1)
    | ~ latt_str(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-99nxucvq/lgb.p',i_0_365) ).

cnf(i_0_1476,negated_conjecture,
    latt_str(esk287_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-99nxucvq/lgb.p',i_0_1476) ).

cnf(i_0_188,plain,
    ( empty_carrier(X1)
    | below(X1,X2,X3)
    | join(X1,X2,X3) != X3
    | ~ join_semilatt_str(X1)
    | ~ element(X3,the_carrier(X1))
    | ~ element(X2,the_carrier(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-99nxucvq/lgb.p',i_0_188) ).

cnf(i_0_1475,negated_conjecture,
    element(esk288_0,the_carrier(esk287_0)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-99nxucvq/lgb.p',i_0_1475) ).

cnf(i_0_1479,negated_conjecture,
    ~ empty_carrier(esk287_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-99nxucvq/lgb.p',i_0_1479) ).

cnf(i_0_350,plain,
    ( empty_carrier(X1)
    | element(meet_commut(X1,X2,X3),the_carrier(X1))
    | ~ meet_commutative(X1)
    | ~ meet_semilatt_str(X1)
    | ~ element(X3,the_carrier(X1))
    | ~ element(X2,the_carrier(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-99nxucvq/lgb.p',i_0_350) ).

cnf(i_0_1478,negated_conjecture,
    meet_commutative(esk287_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-99nxucvq/lgb.p',i_0_1478) ).

cnf(i_0_34,plain,
    ( meet_commut(X1,X2,X3) = meet_commut(X1,X3,X2)
    | empty_carrier(X1)
    | ~ meet_commutative(X1)
    | ~ meet_semilatt_str(X1)
    | ~ element(X3,the_carrier(X1))
    | ~ element(X2,the_carrier(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-99nxucvq/lgb.p',i_0_34) ).

cnf(i_0_1474,negated_conjecture,
    element(esk289_0,the_carrier(esk287_0)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-99nxucvq/lgb.p',i_0_1474) ).

cnf(i_0_316,plain,
    ( join(X1,meet(X1,X2,X3),X3) = X3
    | empty_carrier(X1)
    | ~ latt_str(X1)
    | ~ meet_absorbing(X1)
    | ~ element(X3,the_carrier(X1))
    | ~ element(X2,the_carrier(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-99nxucvq/lgb.p',i_0_316) ).

cnf(i_0_1477,negated_conjecture,
    meet_absorbing(esk287_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-99nxucvq/lgb.p',i_0_1477) ).

cnf(i_0_582,plain,
    ( meet_commut(X1,X2,X3) = meet(X1,X2,X3)
    | empty_carrier(X1)
    | ~ meet_commutative(X1)
    | ~ meet_semilatt_str(X1)
    | ~ element(X3,the_carrier(X1))
    | ~ element(X2,the_carrier(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-99nxucvq/lgb.p',i_0_582) ).

cnf(i_0_1473,negated_conjecture,
    ~ below(esk287_0,meet_commut(esk287_0,esk288_0,esk289_0),esk288_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-99nxucvq/lgb.p',i_0_1473) ).

cnf(i_0_364,plain,
    ( join_semilatt_str(X1)
    | ~ latt_str(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-99nxucvq/lgb.p',i_0_364) ).

cnf(c_0_1494,plain,
    ( meet_semilatt_str(X1)
    | ~ latt_str(X1) ),
    i_0_365 ).

cnf(c_0_1495,negated_conjecture,
    latt_str(esk287_0),
    i_0_1476 ).

cnf(c_0_1496,plain,
    ( empty_carrier(X1)
    | below(X1,X2,X3)
    | join(X1,X2,X3) != X3
    | ~ join_semilatt_str(X1)
    | ~ element(X3,the_carrier(X1))
    | ~ element(X2,the_carrier(X1)) ),
    i_0_188 ).

cnf(c_0_1497,negated_conjecture,
    element(esk288_0,the_carrier(esk287_0)),
    i_0_1475 ).

cnf(c_0_1498,negated_conjecture,
    ~ empty_carrier(esk287_0),
    i_0_1479 ).

cnf(c_0_1499,plain,
    ( empty_carrier(X1)
    | element(meet_commut(X1,X2,X3),the_carrier(X1))
    | ~ meet_commutative(X1)
    | ~ meet_semilatt_str(X1)
    | ~ element(X3,the_carrier(X1))
    | ~ element(X2,the_carrier(X1)) ),
    i_0_350 ).

cnf(c_0_1500,negated_conjecture,
    meet_commutative(esk287_0),
    i_0_1478 ).

cnf(c_0_1501,negated_conjecture,
    meet_semilatt_str(esk287_0),
    inference(spm,[status(thm)],[c_0_1494,c_0_1495]) ).

cnf(c_0_1502,plain,
    ( meet_commut(X1,X2,X3) = meet_commut(X1,X3,X2)
    | empty_carrier(X1)
    | ~ meet_commutative(X1)
    | ~ meet_semilatt_str(X1)
    | ~ element(X3,the_carrier(X1))
    | ~ element(X2,the_carrier(X1)) ),
    i_0_34 ).

cnf(c_0_1503,negated_conjecture,
    element(esk289_0,the_carrier(esk287_0)),
    i_0_1474 ).

cnf(c_0_1504,plain,
    ( join(X1,meet(X1,X2,X3),X3) = X3
    | empty_carrier(X1)
    | ~ latt_str(X1)
    | ~ meet_absorbing(X1)
    | ~ element(X3,the_carrier(X1))
    | ~ element(X2,the_carrier(X1)) ),
    i_0_316 ).

cnf(c_0_1505,negated_conjecture,
    meet_absorbing(esk287_0),
    i_0_1477 ).

cnf(c_0_1506,plain,
    ( meet_commut(X1,X2,X3) = meet(X1,X2,X3)
    | empty_carrier(X1)
    | ~ meet_commutative(X1)
    | ~ meet_semilatt_str(X1)
    | ~ element(X3,the_carrier(X1))
    | ~ element(X2,the_carrier(X1)) ),
    i_0_582 ).

cnf(c_0_1507,negated_conjecture,
    ~ below(esk287_0,meet_commut(esk287_0,esk288_0,esk289_0),esk288_0),
    i_0_1473 ).

cnf(c_0_1508,negated_conjecture,
    ( below(esk287_0,X1,esk288_0)
    | join(esk287_0,X1,esk288_0) != esk288_0
    | ~ join_semilatt_str(esk287_0)
    | ~ element(X1,the_carrier(esk287_0)) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1496,c_0_1497]),c_0_1498]) ).

cnf(c_0_1509,negated_conjecture,
    ( element(meet_commut(esk287_0,X1,esk288_0),the_carrier(esk287_0))
    | ~ element(X1,the_carrier(esk287_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1499,c_0_1497]),c_0_1500])]),c_0_1498]),c_0_1501])]) ).

cnf(c_0_1510,negated_conjecture,
    ( meet_commut(esk287_0,X1,esk289_0) = meet_commut(esk287_0,esk289_0,X1)
    | ~ element(X1,the_carrier(esk287_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1502,c_0_1503]),c_0_1500])]),c_0_1498]),c_0_1501])]) ).

cnf(c_0_1511,negated_conjecture,
    ( join(esk287_0,meet(esk287_0,X1,esk288_0),esk288_0) = esk288_0
    | ~ element(X1,the_carrier(esk287_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1504,c_0_1497]),c_0_1505]),c_0_1495])]),c_0_1498]) ).

cnf(c_0_1512,negated_conjecture,
    ( meet(esk287_0,X1,esk288_0) = meet_commut(esk287_0,X1,esk288_0)
    | ~ element(X1,the_carrier(esk287_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1506,c_0_1497]),c_0_1500])]),c_0_1498]),c_0_1501])]) ).

cnf(c_0_1513,negated_conjecture,
    ( join(esk287_0,meet_commut(esk287_0,esk288_0,esk289_0),esk288_0) != esk288_0
    | ~ join_semilatt_str(esk287_0)
    | ~ element(meet_commut(esk287_0,esk288_0,esk289_0),the_carrier(esk287_0)) ),
    inference(spm,[status(thm)],[c_0_1507,c_0_1508]) ).

cnf(c_0_1514,negated_conjecture,
    element(meet_commut(esk287_0,esk288_0,esk289_0),the_carrier(esk287_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1509,c_0_1510]),c_0_1503]),c_0_1497])]) ).

cnf(c_0_1515,negated_conjecture,
    ( join(esk287_0,meet_commut(esk287_0,X1,esk288_0),esk288_0) = esk288_0
    | ~ element(X1,the_carrier(esk287_0)) ),
    inference(spm,[status(thm)],[c_0_1511,c_0_1512]) ).

cnf(c_0_1516,negated_conjecture,
    ( join(esk287_0,meet_commut(esk287_0,esk288_0,esk289_0),esk288_0) != esk288_0
    | ~ join_semilatt_str(esk287_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1513,c_0_1514])]) ).

cnf(c_0_1517,negated_conjecture,
    join(esk287_0,meet_commut(esk287_0,esk288_0,esk289_0),esk288_0) = esk288_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1515,c_0_1510]),c_0_1503]),c_0_1497])]) ).

cnf(c_0_1518,negated_conjecture,
    ~ join_semilatt_str(esk287_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1516,c_0_1517])]) ).

cnf(c_0_1519,plain,
    ( join_semilatt_str(X1)
    | ~ latt_str(X1) ),
    i_0_364 ).

cnf(c_0_1520,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1518,c_0_1519]),c_0_1495])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : SEU304+2 : TPTP v8.1.0. Released v3.3.0.
% 0.12/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n020.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 : Mon Jun 20 01:01:50 EDT 2022
% 0.18/0.33  % CPUTime  : 
% 0.20/0.44  # ENIGMATIC: Selected SinE mode:
% 0.20/0.47  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.20/0.47  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.20/0.47  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 8.23/2.78  # ENIGMATIC: Solved by autoschedule-lgb:
% 8.23/2.78  # No SInE strategy applied
% 8.23/2.78  # Trying AutoSched0 for 150 seconds
% 8.23/2.78  # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S04AN
% 8.23/2.78  # and selection function SelectComplexExceptUniqMaxHorn.
% 8.23/2.78  #
% 8.23/2.78  # Preprocessing time       : 0.024 s
% 8.23/2.78  # Presaturation interreduction done
% 8.23/2.78  
% 8.23/2.78  # Proof found!
% 8.23/2.78  # SZS status Theorem
% 8.23/2.78  # SZS output start CNFRefutation
% See solution above
% 8.23/2.78  # Training examples: 0 positive, 0 negative
% 8.23/2.78  
% 8.23/2.78  # -------------------------------------------------
% 8.23/2.78  # User time                : 0.054 s
% 8.23/2.78  # System time              : 0.011 s
% 8.23/2.78  # Total time               : 0.065 s
% 8.23/2.78  # Maximum resident set size: 7128 pages
% 8.23/2.78  
%------------------------------------------------------------------------------