TSTP Solution File: SEU142+2 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SEU142+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n013.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 08:38:47 EDT 2022

% Result   : Theorem 8.35s 2.48s
% Output   : CNFRefutation 8.35s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   23 (   7 unt;   7 nHn;  19 RR)
%            Number of literals    :   54 (  29 equ;  24 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   1 con; 0-2 aty)
%            Number of variables   :   44 (   3 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_12,plain,
    ( X1 = X2
    | X3 != singleton(X2)
    | ~ in(X1,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9xtzvip9/lgb.p',i_0_12) ).

cnf(i_0_94,negated_conjecture,
    unordered_pair(esk13_0,esk13_0) != singleton(esk13_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9xtzvip9/lgb.p',i_0_94) ).

cnf(i_0_73,plain,
    ( X1 = X2
    | in(esk10_2(X1,X2),X2)
    | in(esk10_2(X1,X2),X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9xtzvip9/lgb.p',i_0_73) ).

cnf(i_0_11,plain,
    ( in(X1,X2)
    | X1 != X3
    | X2 != singleton(X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9xtzvip9/lgb.p',i_0_11) ).

cnf(i_0_19,plain,
    ( in(X1,X2)
    | X1 != X3
    | X2 != unordered_pair(X3,X4) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9xtzvip9/lgb.p',i_0_19) ).

cnf(i_0_20,plain,
    ( X1 = X2
    | X1 = X3
    | X4 != unordered_pair(X3,X2)
    | ~ in(X1,X4) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9xtzvip9/lgb.p',i_0_20) ).

cnf(i_0_74,plain,
    ( X1 = X2
    | ~ in(esk10_2(X1,X2),X2)
    | ~ in(esk10_2(X1,X2),X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-9xtzvip9/lgb.p',i_0_74) ).

cnf(c_0_102,plain,
    ( X1 = X2
    | X3 != singleton(X2)
    | ~ in(X1,X3) ),
    i_0_12 ).

cnf(c_0_103,negated_conjecture,
    unordered_pair(esk13_0,esk13_0) != singleton(esk13_0),
    i_0_94 ).

cnf(c_0_104,plain,
    ( X1 = X2
    | in(esk10_2(X1,X2),X2)
    | in(esk10_2(X1,X2),X1) ),
    i_0_73 ).

cnf(c_0_105,plain,
    ( X1 = X2
    | ~ in(X1,singleton(X2)) ),
    inference(er,[status(thm)],[c_0_102]) ).

cnf(c_0_106,negated_conjecture,
    ( in(esk10_2(unordered_pair(esk13_0,esk13_0),singleton(esk13_0)),unordered_pair(esk13_0,esk13_0))
    | in(esk10_2(unordered_pair(esk13_0,esk13_0),singleton(esk13_0)),singleton(esk13_0)) ),
    inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_104])]) ).

cnf(c_0_107,plain,
    ( in(X1,X2)
    | X1 != X3
    | X2 != singleton(X3) ),
    i_0_11 ).

cnf(c_0_108,plain,
    ( in(X1,X2)
    | X1 != X3
    | X2 != unordered_pair(X3,X4) ),
    i_0_19 ).

cnf(c_0_109,plain,
    ( X1 = X2
    | X1 = X3
    | X4 != unordered_pair(X3,X2)
    | ~ in(X1,X4) ),
    i_0_20 ).

cnf(c_0_110,plain,
    ( X1 = X2
    | ~ in(esk10_2(X1,X2),X2)
    | ~ in(esk10_2(X1,X2),X1) ),
    i_0_74 ).

cnf(c_0_111,plain,
    ( esk10_2(unordered_pair(esk13_0,esk13_0),singleton(esk13_0)) = esk13_0
    | in(esk10_2(unordered_pair(esk13_0,esk13_0),singleton(esk13_0)),unordered_pair(esk13_0,esk13_0)) ),
    inference(spm,[status(thm)],[c_0_105,c_0_106]) ).

cnf(c_0_112,plain,
    in(X1,singleton(X1)),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_107])]) ).

cnf(c_0_113,plain,
    in(X1,unordered_pair(X1,X2)),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_108])]) ).

cnf(c_0_114,plain,
    ( X1 = X2
    | X1 = X3
    | ~ in(X1,unordered_pair(X2,X3)) ),
    inference(er,[status(thm)],[c_0_109]) ).

cnf(c_0_115,plain,
    in(esk10_2(unordered_pair(esk13_0,esk13_0),singleton(esk13_0)),unordered_pair(esk13_0,esk13_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_111]),c_0_112]),c_0_113])]),c_0_103]) ).

cnf(c_0_116,plain,
    esk10_2(unordered_pair(esk13_0,esk13_0),singleton(esk13_0)) = esk13_0,
    inference(spm,[status(thm)],[c_0_114,c_0_115]) ).

cnf(c_0_117,plain,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_116]),c_0_112]),c_0_113])]),c_0_103]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SEU142+2 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.34  % Computer : n013.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 21:04:30 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.45  # ENIGMATIC: Selected complete mode:
% 8.35/2.48  # ENIGMATIC: Solved by autoschedule-lgb:
% 8.35/2.48  # No SInE strategy applied
% 8.35/2.48  # Trying AutoSched0 for 150 seconds
% 8.35/2.48  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S006A
% 8.35/2.48  # and selection function SelectLargestNegLit.
% 8.35/2.48  #
% 8.35/2.48  # Preprocessing time       : 0.024 s
% 8.35/2.48  # Presaturation interreduction done
% 8.35/2.48  
% 8.35/2.48  # Proof found!
% 8.35/2.48  # SZS status Theorem
% 8.35/2.48  # SZS output start CNFRefutation
% See solution above
% 8.35/2.48  # Training examples: 0 positive, 0 negative
% 8.35/2.48  
% 8.35/2.48  # -------------------------------------------------
% 8.35/2.48  # User time                : 0.057 s
% 8.35/2.48  # System time              : 0.006 s
% 8.35/2.48  # Total time               : 0.063 s
% 8.35/2.48  # Maximum resident set size: 7124 pages
% 8.35/2.48  
%------------------------------------------------------------------------------