TSTP Solution File: NUM380+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : NUM380+1 : TPTP v8.1.0. Released v3.2.0.
% 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 : Mon Jul 18 08:35:34 EDT 2022

% Result   : Theorem 14.47s 3.22s
% Output   : CNFRefutation 14.47s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   39 (  14 unt;  11 nHn;  32 RR)
%            Number of literals    :  100 (  55 equ;  40 neg)
%            Maximal clause size   :    6 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-4 aty)
%            Number of variables   :  118 (  36 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_16,plain,
    ( X1 = X2
    | X1 = X3
    | X1 = X4
    | X1 = X5
    | X6 != unordered_quadruple(X5,X4,X3,X2)
    | ~ in(X1,X6) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zlmlc72a/lgb.p',i_0_16) ).

cnf(i_0_55,plain,
    ( in(esk17_2(X1,X2),X2)
    | ~ in(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zlmlc72a/lgb.p',i_0_55) ).

cnf(i_0_12,plain,
    ( in(X1,X2)
    | X1 != X3
    | X2 != unordered_quadruple(X4,X5,X6,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zlmlc72a/lgb.p',i_0_12) ).

cnf(i_0_54,plain,
    ( ~ in(X1,X2)
    | ~ in(X3,X2)
    | ~ in(X3,esk17_2(X1,X2)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zlmlc72a/lgb.p',i_0_54) ).

cnf(i_0_48,negated_conjecture,
    in(esk16_0,esk13_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zlmlc72a/lgb.p',i_0_48) ).

cnf(i_0_14,plain,
    ( in(X1,X2)
    | X1 != X3
    | X2 != unordered_quadruple(X4,X3,X5,X6) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zlmlc72a/lgb.p',i_0_14) ).

cnf(i_0_50,negated_conjecture,
    in(esk14_0,esk15_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zlmlc72a/lgb.p',i_0_50) ).

cnf(i_0_13,plain,
    ( in(X1,X2)
    | X1 != X3
    | X2 != unordered_quadruple(X4,X5,X3,X6) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zlmlc72a/lgb.p',i_0_13) ).

cnf(i_0_49,negated_conjecture,
    in(esk15_0,esk16_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zlmlc72a/lgb.p',i_0_49) ).

cnf(i_0_15,plain,
    ( in(X1,X2)
    | X1 != X3
    | X2 != unordered_quadruple(X3,X4,X5,X6) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zlmlc72a/lgb.p',i_0_15) ).

cnf(i_0_51,negated_conjecture,
    in(esk13_0,esk14_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-zlmlc72a/lgb.p',i_0_51) ).

cnf(c_0_67,plain,
    ( X1 = X2
    | X1 = X3
    | X1 = X4
    | X1 = X5
    | X6 != unordered_quadruple(X5,X4,X3,X2)
    | ~ in(X1,X6) ),
    i_0_16 ).

cnf(c_0_68,plain,
    ( X1 = X2
    | X1 = X3
    | X1 = X4
    | X1 = X5
    | ~ in(X1,unordered_quadruple(X2,X3,X4,X5)) ),
    inference(er,[status(thm)],[c_0_67]) ).

cnf(c_0_69,plain,
    ( in(esk17_2(X1,X2),X2)
    | ~ in(X1,X2) ),
    i_0_55 ).

cnf(c_0_70,plain,
    ( in(X1,X2)
    | X1 != X3
    | X2 != unordered_quadruple(X4,X5,X6,X3) ),
    i_0_12 ).

cnf(c_0_71,plain,
    ( esk17_2(X1,unordered_quadruple(X2,X3,X4,X5)) = X2
    | esk17_2(X1,unordered_quadruple(X2,X3,X4,X5)) = X3
    | esk17_2(X1,unordered_quadruple(X2,X3,X4,X5)) = X4
    | esk17_2(X1,unordered_quadruple(X2,X3,X4,X5)) = X5
    | ~ in(X1,unordered_quadruple(X2,X3,X4,X5)) ),
    inference(spm,[status(thm)],[c_0_68,c_0_69]) ).

cnf(c_0_72,plain,
    in(X1,unordered_quadruple(X2,X3,X4,X1)),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_70])]) ).

cnf(c_0_73,plain,
    ( ~ in(X1,X2)
    | ~ in(X3,X2)
    | ~ in(X3,esk17_2(X1,X2)) ),
    i_0_54 ).

cnf(c_0_74,plain,
    ( esk17_2(X1,unordered_quadruple(X2,X3,X4,X1)) = X1
    | esk17_2(X1,unordered_quadruple(X2,X3,X4,X1)) = X4
    | esk17_2(X1,unordered_quadruple(X2,X3,X4,X1)) = X3
    | esk17_2(X1,unordered_quadruple(X2,X3,X4,X1)) = X2 ),
    inference(spm,[status(thm)],[c_0_71,c_0_72]) ).

cnf(c_0_75,plain,
    ( esk17_2(X1,unordered_quadruple(X2,X3,X4,X1)) = X3
    | esk17_2(X1,unordered_quadruple(X2,X3,X4,X1)) = X4
    | esk17_2(X1,unordered_quadruple(X2,X3,X4,X1)) = X1
    | ~ in(X5,unordered_quadruple(X2,X3,X4,X1))
    | ~ in(X5,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_72])]) ).

cnf(c_0_76,plain,
    ( esk17_2(X1,unordered_quadruple(X2,X3,X4,X1)) = X1
    | esk17_2(X1,unordered_quadruple(X2,X3,X4,X1)) = X4
    | esk17_2(X1,unordered_quadruple(X2,X3,X4,X1)) = X3
    | ~ in(X1,X2) ),
    inference(spm,[status(thm)],[c_0_75,c_0_72]) ).

cnf(c_0_77,negated_conjecture,
    in(esk16_0,esk13_0),
    i_0_48 ).

cnf(c_0_78,negated_conjecture,
    ( esk17_2(esk16_0,unordered_quadruple(esk13_0,X1,X2,esk16_0)) = esk16_0
    | esk17_2(esk16_0,unordered_quadruple(esk13_0,X1,X2,esk16_0)) = X1
    | esk17_2(esk16_0,unordered_quadruple(esk13_0,X1,X2,esk16_0)) = X2 ),
    inference(spm,[status(thm)],[c_0_76,c_0_77]) ).

cnf(c_0_79,plain,
    ( in(X1,X2)
    | X1 != X3
    | X2 != unordered_quadruple(X4,X3,X5,X6) ),
    i_0_14 ).

cnf(c_0_80,plain,
    ( esk17_2(esk16_0,unordered_quadruple(esk13_0,X1,X2,esk16_0)) = esk16_0
    | esk17_2(esk16_0,unordered_quadruple(esk13_0,X1,X2,esk16_0)) = X1
    | ~ in(X3,unordered_quadruple(esk13_0,X1,X2,esk16_0))
    | ~ in(X3,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_78]),c_0_72])]) ).

cnf(c_0_81,plain,
    in(X1,unordered_quadruple(X2,X1,X3,X4)),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_79])]) ).

cnf(c_0_82,plain,
    ( esk17_2(esk16_0,unordered_quadruple(esk13_0,X1,X2,esk16_0)) = esk16_0
    | esk17_2(esk16_0,unordered_quadruple(esk13_0,X1,X2,esk16_0)) = X1
    | ~ in(X1,X2) ),
    inference(spm,[status(thm)],[c_0_80,c_0_81]) ).

cnf(c_0_83,negated_conjecture,
    in(esk14_0,esk15_0),
    i_0_50 ).

cnf(c_0_84,negated_conjecture,
    ( esk17_2(esk16_0,unordered_quadruple(esk13_0,esk14_0,esk15_0,esk16_0)) = esk14_0
    | esk17_2(esk16_0,unordered_quadruple(esk13_0,esk14_0,esk15_0,esk16_0)) = esk16_0 ),
    inference(spm,[status(thm)],[c_0_82,c_0_83]) ).

cnf(c_0_85,plain,
    ( in(X1,X2)
    | X1 != X3
    | X2 != unordered_quadruple(X4,X5,X3,X6) ),
    i_0_13 ).

cnf(c_0_86,plain,
    ( esk17_2(esk16_0,unordered_quadruple(esk13_0,esk14_0,esk15_0,esk16_0)) = esk14_0
    | ~ in(X1,unordered_quadruple(esk13_0,esk14_0,esk15_0,esk16_0))
    | ~ in(X1,esk16_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_84]),c_0_72])]) ).

cnf(c_0_87,plain,
    in(X1,unordered_quadruple(X2,X3,X1,X4)),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_85])]) ).

cnf(c_0_88,negated_conjecture,
    in(esk15_0,esk16_0),
    i_0_49 ).

cnf(c_0_89,plain,
    esk17_2(esk16_0,unordered_quadruple(esk13_0,esk14_0,esk15_0,esk16_0)) = esk14_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_88])]) ).

cnf(c_0_90,plain,
    ( in(X1,X2)
    | X1 != X3
    | X2 != unordered_quadruple(X3,X4,X5,X6) ),
    i_0_15 ).

cnf(c_0_91,plain,
    ( ~ in(X1,unordered_quadruple(esk13_0,esk14_0,esk15_0,esk16_0))
    | ~ in(X1,esk14_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_89]),c_0_72])]) ).

cnf(c_0_92,plain,
    in(X1,unordered_quadruple(X1,X2,X3,X4)),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_90])]) ).

cnf(c_0_93,negated_conjecture,
    in(esk13_0,esk14_0),
    i_0_51 ).

cnf(c_0_94,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_92]),c_0_93])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : NUM380+1 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n013.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Thu Jul  7 21:10:16 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  # ENIGMATIC: Selected complete mode:
% 14.47/3.22  # ENIGMATIC: Solved by autoschedule-lgb:
% 14.47/3.22  # No SInE strategy applied
% 14.47/3.22  # Trying AutoSched0 for 150 seconds
% 14.47/3.22  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 14.47/3.22  # and selection function SelectComplexExceptUniqMaxHorn.
% 14.47/3.22  #
% 14.47/3.22  # Preprocessing time       : 0.024 s
% 14.47/3.22  # Presaturation interreduction done
% 14.47/3.22  
% 14.47/3.22  # Proof found!
% 14.47/3.22  # SZS status Theorem
% 14.47/3.22  # SZS output start CNFRefutation
% See solution above
% 14.47/3.22  # Training examples: 0 positive, 0 negative
% 14.47/3.22  
% 14.47/3.22  # -------------------------------------------------
% 14.47/3.22  # User time                : 0.657 s
% 14.47/3.22  # System time              : 0.021 s
% 14.47/3.22  # Total time               : 0.678 s
% 14.47/3.22  # Maximum resident set size: 7128 pages
% 14.47/3.22  
%------------------------------------------------------------------------------