TSTP Solution File: SEU103+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SEU103+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n029.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 11.35s 3.77s
% Output   : CNFRefutation 11.35s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   29 (  12 unt;   8 nHn;  29 RR)
%            Number of literals    :   73 (   7 equ;  41 neg)
%            Maximal clause size   :    5 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-3 aty)
%            Number of variables   :   36 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_12,plain,
    ( empty(X1)
    | element(prebool_difference(X1,X2,X3),X1)
    | ~ preboolean(X1)
    | ~ element(X3,X1)
    | ~ element(X2,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-obylho9e/input.p',i_0_12) ).

cnf(i_0_57,negated_conjecture,
    element(esk11_0,esk13_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-obylho9e/input.p',i_0_57) ).

cnf(i_0_58,negated_conjecture,
    preboolean(esk13_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-obylho9e/input.p',i_0_58) ).

cnf(i_0_59,negated_conjecture,
    ~ empty(esk13_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-obylho9e/input.p',i_0_59) ).

cnf(i_0_53,plain,
    ( prebool_difference(X1,X2,X3) = set_difference(X2,X3)
    | empty(X1)
    | ~ preboolean(X1)
    | ~ element(X3,X1)
    | ~ element(X2,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-obylho9e/input.p',i_0_53) ).

cnf(i_0_11,plain,
    ( empty(X1)
    | element(prebool_union2(X1,X2,X3),X1)
    | ~ preboolean(X1)
    | ~ element(X3,X1)
    | ~ element(X2,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-obylho9e/input.p',i_0_11) ).

cnf(i_0_52,plain,
    ( prebool_union2(X1,X2,X3) = set_union2(X2,X3)
    | empty(X1)
    | ~ preboolean(X1)
    | ~ element(X3,X1)
    | ~ element(X2,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-obylho9e/input.p',i_0_52) ).

cnf(i_0_56,negated_conjecture,
    element(esk12_0,esk13_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-obylho9e/input.p',i_0_56) ).

cnf(i_0_55,negated_conjecture,
    ~ element(set_union2(set_difference(esk11_0,esk12_0),set_difference(esk12_0,esk11_0)),esk13_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-obylho9e/input.p',i_0_55) ).

cnf(c_0_69,plain,
    ( empty(X1)
    | element(prebool_difference(X1,X2,X3),X1)
    | ~ preboolean(X1)
    | ~ element(X3,X1)
    | ~ element(X2,X1) ),
    i_0_12 ).

cnf(c_0_70,negated_conjecture,
    element(esk11_0,esk13_0),
    i_0_57 ).

cnf(c_0_71,negated_conjecture,
    preboolean(esk13_0),
    i_0_58 ).

cnf(c_0_72,negated_conjecture,
    ~ empty(esk13_0),
    i_0_59 ).

cnf(c_0_73,plain,
    ( prebool_difference(X1,X2,X3) = set_difference(X2,X3)
    | empty(X1)
    | ~ preboolean(X1)
    | ~ element(X3,X1)
    | ~ element(X2,X1) ),
    i_0_53 ).

cnf(c_0_74,negated_conjecture,
    ( element(prebool_difference(esk13_0,X1,esk11_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_69,c_0_70]),c_0_71])]),c_0_72]) ).

cnf(c_0_75,negated_conjecture,
    ( prebool_difference(esk13_0,X1,esk11_0) = set_difference(X1,esk11_0)
    | ~ element(X1,esk13_0) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_70]),c_0_71])]),c_0_72]) ).

cnf(c_0_76,plain,
    ( empty(X1)
    | element(prebool_union2(X1,X2,X3),X1)
    | ~ preboolean(X1)
    | ~ element(X3,X1)
    | ~ element(X2,X1) ),
    i_0_11 ).

cnf(c_0_77,negated_conjecture,
    ( element(set_difference(X1,esk11_0),esk13_0)
    | ~ element(X1,esk13_0) ),
    inference(spm,[status(thm)],[c_0_74,c_0_75]) ).

cnf(c_0_78,plain,
    ( prebool_union2(X1,X2,X3) = set_union2(X2,X3)
    | empty(X1)
    | ~ preboolean(X1)
    | ~ element(X3,X1)
    | ~ element(X2,X1) ),
    i_0_52 ).

cnf(c_0_79,plain,
    ( element(prebool_union2(esk13_0,X1,set_difference(X2,esk11_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_76,c_0_77]),c_0_71])]),c_0_72]) ).

cnf(c_0_80,plain,
    ( prebool_union2(esk13_0,X1,set_difference(X2,esk11_0)) = set_union2(X1,set_difference(X2,esk11_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_78,c_0_77]),c_0_71])]),c_0_72]) ).

cnf(c_0_81,negated_conjecture,
    element(esk12_0,esk13_0),
    i_0_56 ).

cnf(c_0_82,negated_conjecture,
    ~ element(set_union2(set_difference(esk11_0,esk12_0),set_difference(esk12_0,esk11_0)),esk13_0),
    i_0_55 ).

cnf(c_0_83,plain,
    ( element(set_union2(X1,set_difference(X2,esk11_0)),esk13_0)
    | ~ element(X1,esk13_0)
    | ~ element(X2,esk13_0) ),
    inference(spm,[status(thm)],[c_0_79,c_0_80]) ).

cnf(c_0_84,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_69,c_0_81]),c_0_71])]),c_0_72]) ).

cnf(c_0_85,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_73,c_0_81]),c_0_71])]),c_0_72]) ).

cnf(c_0_86,negated_conjecture,
    ~ element(set_difference(esk11_0,esk12_0),esk13_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_81])]) ).

cnf(c_0_87,negated_conjecture,
    ( element(set_difference(X1,esk12_0),esk13_0)
    | ~ element(X1,esk13_0) ),
    inference(spm,[status(thm)],[c_0_84,c_0_85]) ).

cnf(c_0_88,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_70])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SEU103+1 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.35  % Computer : n029.cluster.edu
% 0.12/0.35  % Model    : x86_64 x86_64
% 0.12/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35  % Memory   : 8042.1875MB
% 0.12/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35  % CPULimit : 300
% 0.12/0.35  % WCLimit  : 600
% 0.12/0.35  % DateTime : Sun Jun 19 08:38:31 EDT 2022
% 0.12/0.35  % CPUTime  : 
% 0.19/0.46  # ENIGMATIC: Selected complete mode:
% 11.35/3.77  # ENIGMATIC: Solved by autoschedule:
% 11.35/3.77  # No SInE strategy applied
% 11.35/3.77  # Trying AutoSched0 for 150 seconds
% 11.35/3.77  # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S04AN
% 11.35/3.77  # and selection function SelectComplexExceptUniqMaxHorn.
% 11.35/3.77  #
% 11.35/3.77  # Preprocessing time       : 0.021 s
% 11.35/3.77  # Presaturation interreduction done
% 11.35/3.77  
% 11.35/3.77  # Proof found!
% 11.35/3.77  # SZS status Theorem
% 11.35/3.77  # SZS output start CNFRefutation
% See solution above
% 11.35/3.77  # Training examples: 0 positive, 0 negative
% 11.35/3.77  
% 11.35/3.77  # -------------------------------------------------
% 11.35/3.77  # User time                : 0.654 s
% 11.35/3.77  # System time              : 0.020 s
% 11.35/3.77  # Total time               : 0.675 s
% 11.35/3.77  # Maximum resident set size: 7116 pages
% 11.35/3.77  
%------------------------------------------------------------------------------