TSTP Solution File: NUN087+2 by SInE---0.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : NUN087+2 : TPTP v7.3.0. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sine.py -e eprover -t %d %s

% Computer : n188.star.cs.uiowa.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory   : 32218.5MB
% OS       : Linux 3.10.0-862.11.6.el7.x86_64
% CPULimit : 300s
% DateTime : Wed Feb 27 14:27:10 EST 2019

% Result   : Theorem 0.08s
% Output   : CNFRefutation 0.08s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   30 (  14 unt;   0 def)
%            Number of atoms       :   79 (   5 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :   83 (  34   ~;  23   |;  26   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   1 con; 0-1 aty)
%            Number of variables   :   47 (   6 sgn  17   !;  15   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(6,axiom,
    ? [X22] :
    ! [X23] :
      ( ( ~ r1(X23)
        & ~ equal(X23,X22) )
      | ( r1(X23)
        & equal(X23,X22) ) ),
    file('/export/starexec/sandbox2/tmp/tmpVdMAUN/sel_theBenchmark.p_1',axiom_1) ).

fof(9,axiom,
    ! [X34] :
    ? [X35] :
      ( ? [X36] :
          ( r1(X36)
          & r4(X34,X36,X35) )
      & ? [X37] :
          ( r1(X37)
          & equal(X35,X37) ) ),
    file('/export/starexec/sandbox2/tmp/tmpVdMAUN/sel_theBenchmark.p_1',axiom_5a) ).

fof(12,conjecture,
    ? [X16] :
      ( ? [X10] :
          ( r1(X10)
          & r4(X10,X10,X16) )
      & ? [X11] :
          ( r1(X11)
          & equal(X16,X11) ) ),
    file('/export/starexec/sandbox2/tmp/tmpVdMAUN/sel_theBenchmark.p_1',zerotimeszeroeqzero) ).

fof(13,negated_conjecture,
    ~ ? [X16] :
        ( ? [X10] :
            ( r1(X10)
            & r4(X10,X10,X16) )
        & ? [X11] :
            ( r1(X11)
            & equal(X16,X11) ) ),
    inference(assume_negation,[status(cth)],[12]) ).

fof(17,plain,
    ? [X22] :
    ! [X23] :
      ( ( ~ r1(X23)
        & ~ equal(X23,X22) )
      | ( r1(X23)
        & equal(X23,X22) ) ),
    inference(fof_simplification,[status(thm)],[6,theory(equality)]) ).

fof(51,plain,
    ? [X24] :
    ! [X25] :
      ( ( ~ r1(X25)
        & ~ equal(X25,X24) )
      | ( r1(X25)
        & equal(X25,X24) ) ),
    inference(variable_rename,[status(thm)],[17]) ).

fof(52,plain,
    ! [X25] :
      ( ( ~ r1(X25)
        & ~ equal(X25,esk10_0) )
      | ( r1(X25)
        & equal(X25,esk10_0) ) ),
    inference(skolemize,[status(esa)],[51]) ).

fof(53,plain,
    ! [X25] :
      ( ( r1(X25)
        | ~ r1(X25) )
      & ( equal(X25,esk10_0)
        | ~ r1(X25) )
      & ( r1(X25)
        | ~ equal(X25,esk10_0) )
      & ( equal(X25,esk10_0)
        | ~ equal(X25,esk10_0) ) ),
    inference(distribute,[status(thm)],[52]) ).

cnf(56,plain,
    ( X1 = esk10_0
    | ~ r1(X1) ),
    inference(split_conjunct,[status(thm)],[53]) ).

fof(72,plain,
    ! [X38] :
    ? [X39] :
      ( ? [X40] :
          ( r1(X40)
          & r4(X38,X40,X39) )
      & ? [X41] :
          ( r1(X41)
          & equal(X39,X41) ) ),
    inference(variable_rename,[status(thm)],[9]) ).

fof(73,plain,
    ! [X38] :
      ( r1(esk17_1(X38))
      & r4(X38,esk17_1(X38),esk16_1(X38))
      & r1(esk18_1(X38))
      & equal(esk16_1(X38),esk18_1(X38)) ),
    inference(skolemize,[status(esa)],[72]) ).

cnf(74,plain,
    esk16_1(X1) = esk18_1(X1),
    inference(split_conjunct,[status(thm)],[73]) ).

cnf(75,plain,
    r1(esk18_1(X1)),
    inference(split_conjunct,[status(thm)],[73]) ).

cnf(76,plain,
    r4(X1,esk17_1(X1),esk16_1(X1)),
    inference(split_conjunct,[status(thm)],[73]) ).

cnf(77,plain,
    r1(esk17_1(X1)),
    inference(split_conjunct,[status(thm)],[73]) ).

fof(86,negated_conjecture,
    ! [X16] :
      ( ! [X10] :
          ( ~ r1(X10)
          | ~ r4(X10,X10,X16) )
      | ! [X11] :
          ( ~ r1(X11)
          | ~ equal(X16,X11) ) ),
    inference(fof_nnf,[status(thm)],[13]) ).

fof(87,negated_conjecture,
    ! [X17] :
      ( ! [X18] :
          ( ~ r1(X18)
          | ~ r4(X18,X18,X17) )
      | ! [X19] :
          ( ~ r1(X19)
          | ~ equal(X17,X19) ) ),
    inference(variable_rename,[status(thm)],[86]) ).

fof(88,negated_conjecture,
    ! [X17,X18,X19] :
      ( ~ r1(X19)
      | ~ equal(X17,X19)
      | ~ r1(X18)
      | ~ r4(X18,X18,X17) ),
    inference(shift_quantors,[status(thm)],[87]) ).

cnf(89,negated_conjecture,
    ( ~ r4(X1,X1,X2)
    | ~ r1(X1)
    | X2 != X3
    | ~ r1(X3) ),
    inference(split_conjunct,[status(thm)],[88]) ).

cnf(91,plain,
    r1(esk16_1(X1)),
    inference(rw,[status(thm)],[75,74,theory(equality)]),
    [unfolding] ).

cnf(94,plain,
    esk10_0 = esk16_1(X1),
    inference(spm,[status(thm)],[56,91,theory(equality)]) ).

cnf(95,plain,
    esk10_0 = esk17_1(X1),
    inference(spm,[status(thm)],[56,77,theory(equality)]) ).

cnf(106,negated_conjecture,
    ( ~ r1(X1)
    | ~ r1(X2)
    | ~ r4(X2,X2,X1) ),
    inference(er,[status(thm)],[89,theory(equality)]) ).

cnf(126,plain,
    r4(X1,esk17_1(X1),esk10_0),
    inference(rw,[status(thm)],[76,94,theory(equality)]) ).

cnf(127,plain,
    r1(esk10_0),
    inference(rw,[status(thm)],[91,94,theory(equality)]) ).

cnf(130,plain,
    r4(X1,esk10_0,esk10_0),
    inference(rw,[status(thm)],[126,95,theory(equality)]) ).

cnf(137,negated_conjecture,
    ~ r1(esk10_0),
    inference(spm,[status(thm)],[106,130,theory(equality)]) ).

cnf(138,negated_conjecture,
    $false,
    inference(rw,[status(thm)],[137,127,theory(equality)]) ).

cnf(139,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[138,theory(equality)]) ).

cnf(140,negated_conjecture,
    $false,
    139,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : NUN087+2 : TPTP v7.3.0. Released v7.3.0.
% 0.00/0.05  % Command  : sine.py -e eprover -t %d %s
% 0.03/0.25  % Computer : n188.star.cs.uiowa.edu
% 0.03/0.25  % Model    : x86_64 x86_64
% 0.03/0.25  % CPU      : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.03/0.25  % Memory   : 32218.5MB
% 0.03/0.25  % OS       : Linux 3.10.0-862.11.6.el7.x86_64
% 0.03/0.25  % CPULimit : 300
% 0.03/0.25  % DateTime : Sun Feb 24 02:12:44 CST 2019
% 0.03/0.25  % CPUTime  : 
% 0.08/0.30  % SZS status Started for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.30  --creating new selector for [NUM008+0.ax]
% 0.08/0.37  -running prover on /export/starexec/sandbox2/tmp/tmpVdMAUN/sel_theBenchmark.p_1 with time limit 29
% 0.08/0.37  -running prover with command ['/export/starexec/sandbox2/solver/bin/Source/./Source/PROVER/eproof.working', '-s', '-tLPO4', '-xAuto', '-tAuto', '--memory-limit=768', '--tptp3-format', '--cpu-limit=29', '/export/starexec/sandbox2/tmp/tmpVdMAUN/sel_theBenchmark.p_1']
% 0.08/0.37  -prover status Theorem
% 0.08/0.37  Problem theBenchmark.p solved in phase 0.
% 0.08/0.37  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.37  % SZS status Ended for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.38  Solved 1 out of 1.
% 0.08/0.38  # Problem is unsatisfiable (or provable), constructing proof object
% 0.08/0.38  # SZS status Theorem
% 0.08/0.38  # SZS output start CNFRefutation.
% See solution above
% 0.08/0.38  # SZS output end CNFRefutation
%------------------------------------------------------------------------------