TSTP Solution File: SEU217+1 by Enigma---0.5.1

View Problem - Process Solution

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

% Computer : n010.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 08:39:39 EDT 2022

% Result   : Theorem 8.18s 2.34s
% Output   : CNFRefutation 8.18s
% 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_40,plain,
    ( apply(X1,X2) = X2
    | X1 != identity_relation(X3)
    | ~ relation(X1)
    | ~ function(X1)
    | ~ in(X2,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6u1_hkx0/input.p',i_0_40) ).

cnf(i_0_32,plain,
    function(identity_relation(X1)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6u1_hkx0/input.p',i_0_32) ).

cnf(i_0_29,plain,
    relation(identity_relation(X1)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6u1_hkx0/input.p',i_0_29) ).

cnf(i_0_37,negated_conjecture,
    in(esk9_0,esk8_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6u1_hkx0/input.p',i_0_37) ).

cnf(i_0_36,negated_conjecture,
    apply(identity_relation(esk8_0),esk9_0) != esk9_0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6u1_hkx0/input.p',i_0_36) ).

cnf(c_0_46,plain,
    ( apply(X1,X2) = X2
    | X1 != identity_relation(X3)
    | ~ relation(X1)
    | ~ function(X1)
    | ~ in(X2,X3) ),
    i_0_40 ).

cnf(c_0_47,plain,
    function(identity_relation(X1)),
    i_0_32 ).

cnf(c_0_48,plain,
    relation(identity_relation(X1)),
    i_0_29 ).

cnf(c_0_49,plain,
    ( 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_46]),c_0_47]),c_0_48])]) ).

cnf(c_0_50,negated_conjecture,
    in(esk9_0,esk8_0),
    i_0_37 ).

cnf(c_0_51,negated_conjecture,
    apply(identity_relation(esk8_0),esk9_0) != esk9_0,
    i_0_36 ).

cnf(c_0_52,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_51]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SEU217+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.34  % Computer : n010.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 : Mon Jun 20 13:51:54 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.45  # ENIGMATIC: Selected complete mode:
% 8.18/2.34  # ENIGMATIC: Solved by autoschedule:
% 8.18/2.34  # No SInE strategy applied
% 8.18/2.34  # Trying AutoSched0 for 150 seconds
% 8.18/2.34  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S079N
% 8.18/2.34  # and selection function SelectGrCQArEqFirst.
% 8.18/2.34  #
% 8.18/2.34  # Preprocessing time       : 0.012 s
% 8.18/2.34  # Presaturation interreduction done
% 8.18/2.34  
% 8.18/2.34  # Proof found!
% 8.18/2.34  # SZS status Theorem
% 8.18/2.34  # SZS output start CNFRefutation
% See solution above
% 8.18/2.34  # Training examples: 0 positive, 0 negative
% 8.18/2.34  
% 8.18/2.34  # -------------------------------------------------
% 8.18/2.34  # User time                : 0.012 s
% 8.18/2.34  # System time              : 0.006 s
% 8.18/2.34  # Total time               : 0.019 s
% 8.18/2.34  # Maximum resident set size: 7116 pages
% 8.18/2.34  
%------------------------------------------------------------------------------