TSTP Solution File: SEU305+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SEU305+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 08:40:37 EDT 2022

% Result   : Theorem 7.41s 2.38s
% Output   : CNFRefutation 7.41s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   30 (  20 unt;   6 nHn;  30 RR)
%            Number of literals    :   66 (  15 equ;  34 neg)
%            Maximal clause size   :    6 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-3 aty)
%            Number of variables   :   22 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_8,plain,
    ( join(X1,X2,X3) = X3
    | empty_carrier(X1)
    | ~ join_semilatt_str(X1)
    | ~ below(X1,X2,X3)
    | ~ element(X3,the_carrier(X1))
    | ~ element(X2,the_carrier(X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qpnyzd7s/input.p',i_0_8) ).

cnf(i_0_49,negated_conjecture,
    element(esk9_0,the_carrier(esk8_0)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qpnyzd7s/input.p',i_0_49) ).

cnf(i_0_50,negated_conjecture,
    join_semilatt_str(esk8_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qpnyzd7s/input.p',i_0_50) ).

cnf(i_0_52,negated_conjecture,
    ~ empty_carrier(esk8_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qpnyzd7s/input.p',i_0_52) ).

cnf(i_0_40,plain,
    ( join_commut(X1,X2,X3) = join(X1,X2,X3)
    | empty_carrier(X1)
    | ~ join_commutative(X1)
    | ~ join_semilatt_str(X1)
    | ~ element(X3,the_carrier(X1))
    | ~ element(X2,the_carrier(X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qpnyzd7s/input.p',i_0_40) ).

cnf(i_0_51,negated_conjecture,
    join_commutative(esk8_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qpnyzd7s/input.p',i_0_51) ).

cnf(i_0_5,plain,
    ( join_commut(X1,X2,X3) = join_commut(X1,X3,X2)
    | empty_carrier(X1)
    | ~ join_commutative(X1)
    | ~ join_semilatt_str(X1)
    | ~ element(X3,the_carrier(X1))
    | ~ element(X2,the_carrier(X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qpnyzd7s/input.p',i_0_5) ).

cnf(i_0_48,negated_conjecture,
    element(esk10_0,the_carrier(esk8_0)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qpnyzd7s/input.p',i_0_48) ).

cnf(i_0_46,negated_conjecture,
    below(esk8_0,esk10_0,esk9_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qpnyzd7s/input.p',i_0_46) ).

cnf(i_0_47,negated_conjecture,
    below(esk8_0,esk9_0,esk10_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qpnyzd7s/input.p',i_0_47) ).

cnf(i_0_45,negated_conjecture,
    esk10_0 != esk9_0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qpnyzd7s/input.p',i_0_45) ).

cnf(c_0_64,plain,
    ( join(X1,X2,X3) = X3
    | empty_carrier(X1)
    | ~ join_semilatt_str(X1)
    | ~ below(X1,X2,X3)
    | ~ element(X3,the_carrier(X1))
    | ~ element(X2,the_carrier(X1)) ),
    i_0_8 ).

cnf(c_0_65,negated_conjecture,
    element(esk9_0,the_carrier(esk8_0)),
    i_0_49 ).

cnf(c_0_66,negated_conjecture,
    join_semilatt_str(esk8_0),
    i_0_50 ).

cnf(c_0_67,negated_conjecture,
    ~ empty_carrier(esk8_0),
    i_0_52 ).

cnf(c_0_68,plain,
    ( join_commut(X1,X2,X3) = join(X1,X2,X3)
    | empty_carrier(X1)
    | ~ join_commutative(X1)
    | ~ join_semilatt_str(X1)
    | ~ element(X3,the_carrier(X1))
    | ~ element(X2,the_carrier(X1)) ),
    i_0_40 ).

cnf(c_0_69,negated_conjecture,
    join_commutative(esk8_0),
    i_0_51 ).

cnf(c_0_70,plain,
    ( join_commut(X1,X2,X3) = join_commut(X1,X3,X2)
    | empty_carrier(X1)
    | ~ join_commutative(X1)
    | ~ join_semilatt_str(X1)
    | ~ element(X3,the_carrier(X1))
    | ~ element(X2,the_carrier(X1)) ),
    i_0_5 ).

cnf(c_0_71,negated_conjecture,
    element(esk10_0,the_carrier(esk8_0)),
    i_0_48 ).

cnf(c_0_72,negated_conjecture,
    ( join(esk8_0,X1,esk9_0) = esk9_0
    | ~ below(esk8_0,X1,esk9_0)
    | ~ element(X1,the_carrier(esk8_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_66])]),c_0_67]) ).

cnf(c_0_73,negated_conjecture,
    below(esk8_0,esk10_0,esk9_0),
    i_0_46 ).

cnf(c_0_74,negated_conjecture,
    ( join_commut(esk8_0,X1,esk9_0) = join(esk8_0,X1,esk9_0)
    | ~ element(X1,the_carrier(esk8_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_65]),c_0_66]),c_0_69])]),c_0_67]) ).

cnf(c_0_75,negated_conjecture,
    ( join_commut(esk8_0,X1,esk10_0) = join_commut(esk8_0,esk10_0,X1)
    | ~ element(X1,the_carrier(esk8_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_66]),c_0_69])]),c_0_67]) ).

cnf(c_0_76,negated_conjecture,
    join(esk8_0,esk10_0,esk9_0) = esk9_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_71])]) ).

cnf(c_0_77,negated_conjecture,
    ( join(esk8_0,X1,esk10_0) = esk10_0
    | ~ below(esk8_0,X1,esk10_0)
    | ~ element(X1,the_carrier(esk8_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_71]),c_0_66])]),c_0_67]) ).

cnf(c_0_78,negated_conjecture,
    below(esk8_0,esk9_0,esk10_0),
    i_0_47 ).

cnf(c_0_79,negated_conjecture,
    join_commut(esk8_0,esk9_0,esk10_0) = esk9_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_76]),c_0_71]),c_0_65])]) ).

cnf(c_0_80,negated_conjecture,
    join(esk8_0,esk9_0,esk10_0) = esk10_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_65])]) ).

cnf(c_0_81,negated_conjecture,
    esk10_0 != esk9_0,
    i_0_45 ).

cnf(c_0_82,plain,
    $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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_79]),c_0_80]),c_0_71]),c_0_65]),c_0_66]),c_0_69])]),c_0_81]),c_0_67]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : SEU305+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.32  % Computer : n028.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit : 300
% 0.12/0.32  % WCLimit  : 600
% 0.12/0.32  % DateTime : Sat Jun 18 19:17:01 EDT 2022
% 0.12/0.32  % CPUTime  : 
% 0.17/0.44  # ENIGMATIC: Selected complete mode:
% 7.41/2.38  # ENIGMATIC: Solved by autoschedule:
% 7.41/2.38  # No SInE strategy applied
% 7.41/2.38  # Trying AutoSched0 for 150 seconds
% 7.41/2.38  # AutoSched0-Mode selected heuristic G_E___301_C18_F1_URBAN_S5PRR_RG_S04BN
% 7.41/2.38  # and selection function PSelectComplexExceptUniqMaxHorn.
% 7.41/2.38  #
% 7.41/2.38  # Preprocessing time       : 0.023 s
% 7.41/2.38  
% 7.41/2.38  # Proof found!
% 7.41/2.38  # SZS status Theorem
% 7.41/2.38  # SZS output start CNFRefutation
% See solution above
% 7.41/2.39  # Training examples: 0 positive, 0 negative
% 7.41/2.39  
% 7.41/2.39  # -------------------------------------------------
% 7.41/2.39  # User time                : 0.033 s
% 7.41/2.39  # System time              : 0.002 s
% 7.41/2.39  # Total time               : 0.035 s
% 7.41/2.39  # Maximum resident set size: 7116 pages
% 7.41/2.39  
%------------------------------------------------------------------------------