%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SEU217+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n008.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 08:39:40 EDT 2022

% Result   : Theorem 8.15s 2.59s
% Output   : CNFRefutation 8.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   12 (   9 unt;   0 nHn;   8 RR)
%            Number of literals    :   21 (   7 equ;  11 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   12 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_318,lemma,
    ( apply(X1,X2) = X2
    | X1 != identity_relation(X3)
    | ~ function(X1)
    | ~ relation(X1)
    | ~ in(X2,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-n5jaxdkl/lgb.p',i_0_318) ).

cnf(i_0_192,plain,
    relation(identity_relation(X1)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-n5jaxdkl/lgb.p',i_0_192) ).

cnf(i_0_191,plain,
    function(identity_relation(X1)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-n5jaxdkl/lgb.p',i_0_191) ).

cnf(i_0_321,negated_conjecture,
    in(esk68_0,esk67_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-n5jaxdkl/lgb.p',i_0_321) ).

cnf(i_0_320,negated_conjecture,
    apply(identity_relation(esk67_0),esk68_0) != esk68_0,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-n5jaxdkl/lgb.p',i_0_320) ).

cnf(c_0_327,lemma,
    ( apply(X1,X2) = X2
    | X1 != identity_relation(X3)
    | ~ function(X1)
    | ~ relation(X1)
    | ~ in(X2,X3) ),
    i_0_318 ).

cnf(c_0_328,plain,
    relation(identity_relation(X1)),
    i_0_192 ).

cnf(c_0_329,plain,
    function(identity_relation(X1)),
    i_0_191 ).

cnf(c_0_330,lemma,
    ( apply(identity_relation(X1),X2) = X2
    | ~ in(X2,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_327]),c_0_328]),c_0_329])]) ).

cnf(c_0_331,negated_conjecture,
    in(esk68_0,esk67_0),
    i_0_321 ).

cnf(c_0_332,negated_conjecture,
    apply(identity_relation(esk67_0),esk68_0) != esk68_0,
    i_0_320 ).

cnf(c_0_333,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_330,c_0_331]),c_0_332]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEU217+2 : TPTP v8.1.0. Released v3.3.0.
% 0.00/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.34  % Computer : n008.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 : Sun Jun 19 00:06:09 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.45  # ENIGMATIC: Selected complete mode:
% 8.15/2.59  # ENIGMATIC: Solved by autoschedule-lgb:
% 8.15/2.59  # No SInE strategy applied
% 8.15/2.59  # Trying AutoSched0 for 150 seconds
% 8.15/2.59  # AutoSched0-Mode selected heuristic G_E___208_B01_00_F1_SE_CS_SP_PS_S04AN
% 8.15/2.59  # and selection function SelectComplexExceptUniqMaxHorn.
% 8.15/2.59  #
% 8.15/2.59  # Preprocessing time       : 0.023 s
% 8.15/2.59  # Presaturation interreduction done
% 8.15/2.59  
% 8.15/2.59  # Proof found!
% 8.15/2.59  # SZS status Theorem
% 8.15/2.59  # SZS output start CNFRefutation
% See solution above
% 8.15/2.59  # Training examples: 0 positive, 0 negative
% 8.15/2.59  
% 8.15/2.59  # -------------------------------------------------
% 8.15/2.59  # User time                : 0.028 s
% 8.15/2.59  # System time              : 0.004 s
% 8.15/2.59  # Total time               : 0.032 s
% 8.15/2.59  # Maximum resident set size: 7124 pages
% 8.15/2.59  
%------------------------------------------------------------------------------