TSTP Solution File: SEU102+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SEU102+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n022.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 08:38:28 EDT 2022

% Result   : Theorem 6.59s 2.24s
% Output   : CNFRefutation 6.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   31 (  13 unt;   6 nHn;  29 RR)
%            Number of literals    :   67 (   6 equ;  34 neg)
%            Maximal clause size   :    5 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-3 aty)
%            Number of variables   :   38 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_8,plain,
    ( empty(X1)
    | element(prebool_difference(X1,X2,X3),X1)
    | ~ preboolean(X1)
    | ~ element(X3,X1)
    | ~ element(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-q10xte98/lgb.p',i_0_8) ).

cnf(i_0_48,negated_conjecture,
    element(esk12_0,esk13_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-q10xte98/lgb.p',i_0_48) ).

cnf(i_0_50,negated_conjecture,
    preboolean(esk13_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-q10xte98/lgb.p',i_0_50) ).

cnf(i_0_51,negated_conjecture,
    ~ empty(esk13_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-q10xte98/lgb.p',i_0_51) ).

cnf(i_0_45,plain,
    ( prebool_difference(X1,X2,X3) = set_difference(X2,X3)
    | empty(X1)
    | ~ preboolean(X1)
    | ~ element(X3,X1)
    | ~ element(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-q10xte98/lgb.p',i_0_45) ).

cnf(i_0_54,plain,
    ( empty(X1)
    | in(X2,X1)
    | ~ element(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-q10xte98/lgb.p',i_0_54) ).

cnf(i_0_7,plain,
    set_difference(X1,set_difference(X1,X2)) = set_difference(X2,set_difference(X2,X1)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-q10xte98/lgb.p',i_0_7) ).

cnf(i_0_52,plain,
    ( element(X1,X2)
    | ~ in(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-q10xte98/lgb.p',i_0_52) ).

cnf(i_0_47,negated_conjecture,
    ~ element(set_difference(esk11_0,set_difference(esk11_0,esk12_0)),esk13_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-q10xte98/lgb.p',i_0_47) ).

cnf(i_0_49,negated_conjecture,
    element(esk11_0,esk13_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-q10xte98/lgb.p',i_0_49) ).

cnf(c_0_65,plain,
    ( empty(X1)
    | element(prebool_difference(X1,X2,X3),X1)
    | ~ preboolean(X1)
    | ~ element(X3,X1)
    | ~ element(X2,X1) ),
    i_0_8 ).

cnf(c_0_66,negated_conjecture,
    element(esk12_0,esk13_0),
    i_0_48 ).

cnf(c_0_67,negated_conjecture,
    preboolean(esk13_0),
    i_0_50 ).

cnf(c_0_68,negated_conjecture,
    ~ empty(esk13_0),
    i_0_51 ).

cnf(c_0_69,plain,
    ( prebool_difference(X1,X2,X3) = set_difference(X2,X3)
    | empty(X1)
    | ~ preboolean(X1)
    | ~ element(X3,X1)
    | ~ element(X2,X1) ),
    i_0_45 ).

cnf(c_0_70,negated_conjecture,
    ( element(prebool_difference(esk13_0,X1,esk12_0),esk13_0)
    | ~ element(X1,esk13_0) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_67])]),c_0_68]) ).

cnf(c_0_71,negated_conjecture,
    ( prebool_difference(esk13_0,X1,esk12_0) = set_difference(X1,esk12_0)
    | ~ element(X1,esk13_0) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_66]),c_0_67])]),c_0_68]) ).

cnf(c_0_72,negated_conjecture,
    ( element(set_difference(X1,esk12_0),esk13_0)
    | ~ element(X1,esk13_0) ),
    inference(spm,[status(thm)],[c_0_70,c_0_71]) ).

cnf(c_0_73,plain,
    ( empty(X1)
    | in(X2,X1)
    | ~ element(X2,X1) ),
    i_0_54 ).

cnf(c_0_74,plain,
    ( element(prebool_difference(esk13_0,X1,set_difference(X2,esk12_0)),esk13_0)
    | ~ element(X1,esk13_0)
    | ~ element(X2,esk13_0) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_72]),c_0_67])]),c_0_68]) ).

cnf(c_0_75,plain,
    ( in(prebool_difference(esk13_0,X1,set_difference(X2,esk12_0)),esk13_0)
    | ~ element(X1,esk13_0)
    | ~ element(X2,esk13_0) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_68]) ).

cnf(c_0_76,plain,
    ( prebool_difference(esk13_0,X1,set_difference(X2,esk12_0)) = set_difference(X1,set_difference(X2,esk12_0))
    | ~ element(X1,esk13_0)
    | ~ element(X2,esk13_0) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_72]),c_0_67])]),c_0_68]) ).

cnf(c_0_77,plain,
    ( in(set_difference(X1,set_difference(X2,esk12_0)),esk13_0)
    | ~ element(X1,esk13_0)
    | ~ element(X2,esk13_0) ),
    inference(spm,[status(thm)],[c_0_75,c_0_76]) ).

cnf(c_0_78,plain,
    set_difference(X1,set_difference(X1,X2)) = set_difference(X2,set_difference(X2,X1)),
    i_0_7 ).

cnf(c_0_79,plain,
    ( in(set_difference(esk12_0,set_difference(esk12_0,X1)),esk13_0)
    | ~ element(X1,esk13_0) ),
    inference(spm,[status(thm)],[c_0_77,c_0_78]) ).

cnf(c_0_80,plain,
    ( element(X1,X2)
    | ~ in(X1,X2) ),
    i_0_52 ).

cnf(c_0_81,plain,
    ( in(set_difference(X1,set_difference(X1,esk12_0)),esk13_0)
    | ~ element(X1,esk13_0) ),
    inference(spm,[status(thm)],[c_0_79,c_0_78]) ).

cnf(c_0_82,negated_conjecture,
    ~ element(set_difference(esk11_0,set_difference(esk11_0,esk12_0)),esk13_0),
    i_0_47 ).

cnf(c_0_83,plain,
    ( element(set_difference(X1,set_difference(X1,esk12_0)),esk13_0)
    | ~ element(X1,esk13_0) ),
    inference(spm,[status(thm)],[c_0_80,c_0_81]) ).

cnf(c_0_84,negated_conjecture,
    element(esk11_0,esk13_0),
    i_0_49 ).

cnf(c_0_85,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_84])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SEU102+1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.34  % Computer : n022.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Sat Jun 18 19:40:18 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.45  # ENIGMATIC: Selected complete mode:
% 6.59/2.24  # ENIGMATIC: Solved by autoschedule-lgb:
% 6.59/2.24  # No SInE strategy applied
% 6.59/2.24  # Trying AutoSched0 for 150 seconds
% 6.59/2.24  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 6.59/2.24  # and selection function SelectComplexExceptUniqMaxHorn.
% 6.59/2.24  #
% 6.59/2.24  # Preprocessing time       : 0.014 s
% 6.59/2.24  # Presaturation interreduction done
% 6.59/2.24  
% 6.59/2.24  # Proof found!
% 6.59/2.24  # SZS status Theorem
% 6.59/2.24  # SZS output start CNFRefutation
% See solution above
% 6.59/2.24  # Training examples: 0 positive, 0 negative
% 6.59/2.24  
% 6.59/2.24  # -------------------------------------------------
% 6.59/2.24  # User time                : 0.017 s
% 6.59/2.24  # System time              : 0.003 s
% 6.59/2.24  # Total time               : 0.020 s
% 6.59/2.24  # Maximum resident set size: 7128 pages
% 6.59/2.24  
%------------------------------------------------------------------------------