TSTP Solution File: SEU304+1 by Enigma---0.5.1

View Problem - Process Solution

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

% Computer : n028.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 08:40:36 EDT 2022

% Result   : Theorem 6.99s 2.28s
% Output   : CNFRefutation 6.99s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   14
% Syntax   : Number of clauses     :   35 (  18 unt;  11 nHn;  35 RR)
%            Number of literals    :   94 (  11 equ;  55 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   :   37 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_25,plain,
    ( join_semilatt_str(X1)
    | ~ latt_str(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h3frhrg2/input.p',i_0_25) ).

cnf(i_0_62,negated_conjecture,
    latt_str(esk12_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h3frhrg2/input.p',i_0_62) ).

cnf(i_0_59,negated_conjecture,
    ~ below(esk12_0,meet_commut(esk12_0,esk13_0,esk14_0),esk13_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h3frhrg2/input.p',i_0_59) ).

cnf(i_0_8,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/sandbox2/tmp/enigma-theBenchmark.p-h3frhrg2/input.p',i_0_8) ).

cnf(i_0_61,negated_conjecture,
    element(esk13_0,the_carrier(esk12_0)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h3frhrg2/input.p',i_0_61) ).

cnf(i_0_65,negated_conjecture,
    ~ empty_carrier(esk12_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h3frhrg2/input.p',i_0_65) ).

cnf(i_0_5,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/sandbox2/tmp/enigma-theBenchmark.p-h3frhrg2/input.p',i_0_5) ).

cnf(i_0_54,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/sandbox2/tmp/enigma-theBenchmark.p-h3frhrg2/input.p',i_0_54) ).

cnf(i_0_26,plain,
    ( meet_semilatt_str(X1)
    | ~ latt_str(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h3frhrg2/input.p',i_0_26) ).

cnf(i_0_60,negated_conjecture,
    element(esk14_0,the_carrier(esk12_0)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h3frhrg2/input.p',i_0_60) ).

cnf(i_0_64,negated_conjecture,
    meet_commutative(esk12_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h3frhrg2/input.p',i_0_64) ).

cnf(i_0_13,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/sandbox2/tmp/enigma-theBenchmark.p-h3frhrg2/input.p',i_0_13) ).

cnf(i_0_63,negated_conjecture,
    meet_absorbing(esk12_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h3frhrg2/input.p',i_0_63) ).

cnf(i_0_19,plain,
    ( empty_carrier(X1)
    | element(meet(X1,X2,X3),the_carrier(X1))
    | ~ meet_semilatt_str(X1)
    | ~ element(X3,the_carrier(X1))
    | ~ element(X2,the_carrier(X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h3frhrg2/input.p',i_0_19) ).

cnf(c_0_80,plain,
    ( join_semilatt_str(X1)
    | ~ latt_str(X1) ),
    i_0_25 ).

cnf(c_0_81,negated_conjecture,
    latt_str(esk12_0),
    i_0_62 ).

cnf(c_0_82,negated_conjecture,
    ~ below(esk12_0,meet_commut(esk12_0,esk13_0,esk14_0),esk13_0),
    i_0_59 ).

cnf(c_0_83,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_8 ).

cnf(c_0_84,negated_conjecture,
    element(esk13_0,the_carrier(esk12_0)),
    i_0_61 ).

cnf(c_0_85,negated_conjecture,
    ~ empty_carrier(esk12_0),
    i_0_65 ).

cnf(c_0_86,negated_conjecture,
    join_semilatt_str(esk12_0),
    inference(spm,[status(thm)],[c_0_80,c_0_81]) ).

cnf(c_0_87,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_5 ).

cnf(c_0_88,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_54 ).

cnf(c_0_89,plain,
    ( meet_semilatt_str(X1)
    | ~ latt_str(X1) ),
    i_0_26 ).

cnf(c_0_90,negated_conjecture,
    ( join(esk12_0,meet_commut(esk12_0,esk13_0,esk14_0),esk13_0) != esk13_0
    | ~ element(meet_commut(esk12_0,esk13_0,esk14_0),the_carrier(esk12_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_82,c_0_83]),c_0_84])]),c_0_85]),c_0_86])]) ).

cnf(c_0_91,plain,
    ( meet_commut(X1,X2,X3) = meet(X1,X3,X2)
    | empty_carrier(X1)
    | ~ element(X2,the_carrier(X1))
    | ~ element(X3,the_carrier(X1))
    | ~ meet_semilatt_str(X1)
    | ~ meet_commutative(X1) ),
    inference(spm,[status(thm)],[c_0_87,c_0_88]) ).

cnf(c_0_92,negated_conjecture,
    element(esk14_0,the_carrier(esk12_0)),
    i_0_60 ).

cnf(c_0_93,negated_conjecture,
    meet_semilatt_str(esk12_0),
    inference(spm,[status(thm)],[c_0_89,c_0_81]) ).

cnf(c_0_94,negated_conjecture,
    meet_commutative(esk12_0),
    i_0_64 ).

cnf(c_0_95,negated_conjecture,
    ( join(esk12_0,meet(esk12_0,esk14_0,esk13_0),esk13_0) != esk13_0
    | ~ element(meet(esk12_0,esk14_0,esk13_0),the_carrier(esk12_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_90,c_0_91]),c_0_84]),c_0_92]),c_0_93]),c_0_94])]),c_0_85]) ).

cnf(c_0_96,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_13 ).

cnf(c_0_97,negated_conjecture,
    meet_absorbing(esk12_0),
    i_0_63 ).

cnf(c_0_98,plain,
    ~ element(meet(esk12_0,esk14_0,esk13_0),the_carrier(esk12_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_95,c_0_96]),c_0_84]),c_0_92]),c_0_97]),c_0_81])]),c_0_85]) ).

cnf(c_0_99,plain,
    ( empty_carrier(X1)
    | element(meet(X1,X2,X3),the_carrier(X1))
    | ~ meet_semilatt_str(X1)
    | ~ element(X3,the_carrier(X1))
    | ~ element(X2,the_carrier(X1)) ),
    i_0_19 ).

cnf(c_0_100,plain,
    $false,
    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_98,c_0_99]),c_0_84]),c_0_92]),c_0_93])]),c_0_85]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SEU304+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.34  % Computer : n028.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Sun Jun 19 18:30:17 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.46  # ENIGMATIC: Selected complete mode:
% 6.99/2.28  # ENIGMATIC: Solved by autoschedule:
% 6.99/2.28  # No SInE strategy applied
% 6.99/2.28  # Trying AutoSched0 for 150 seconds
% 6.99/2.28  # AutoSched0-Mode selected heuristic G_E___300_C18_F1_URBAN_S0Y
% 6.99/2.28  # and selection function SelectMaxLComplexAvoidPosPred.
% 6.99/2.28  #
% 6.99/2.28  # Preprocessing time       : 0.025 s
% 6.99/2.28  
% 6.99/2.28  # Proof found!
% 6.99/2.28  # SZS status Theorem
% 6.99/2.28  # SZS output start CNFRefutation
% See solution above
% 6.99/2.28  # Training examples: 0 positive, 0 negative
% 6.99/2.28  
% 6.99/2.28  # -------------------------------------------------
% 6.99/2.28  # User time                : 0.026 s
% 6.99/2.28  # System time              : 0.011 s
% 6.99/2.28  # Total time               : 0.038 s
% 6.99/2.28  # Maximum resident set size: 7116 pages
% 6.99/2.28  
%------------------------------------------------------------------------------