TSTP Solution File: NUN069+1 by SInE---0.4

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%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : NUN069+1 : TPTP v7.3.0. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sine.py -e eprover -t %d %s

% Computer : n185.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 14:27:06 EST 2019

% Result   : Theorem 0.08s
% Output   : CNFRefutation 0.08s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   28 (   8 unt;   0 def)
%            Number of atoms       :   83 (   0 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :  100 (  45   ~;  29   |;  26   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   1 con; 0-1 aty)
%            Number of variables   :   46 (   4 sgn  23   !;  10   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(1,axiom,
    ! [X1] :
    ? [X2] :
    ! [X3] :
      ( ( id(X3,X2)
        & r2(X1,X3) )
      | ( ~ r2(X1,X3)
        & ~ id(X3,X2) ) ),
    file('/export/starexec/sandbox/tmp/tmp95FVsK/sel_theBenchmark.p_1',axiom_2) ).

fof(4,axiom,
    ? [X12] :
    ! [X13] :
      ( ( id(X13,X12)
        & r1(X13) )
      | ( ~ r1(X13)
        & ~ id(X13,X12) ) ),
    file('/export/starexec/sandbox/tmp/tmp95FVsK/sel_theBenchmark.p_1',axiom_1) ).

fof(7,axiom,
    ! [X19] : id(X19,X19),
    file('/export/starexec/sandbox/tmp/tmp95FVsK/sel_theBenchmark.p_1',axiom_5) ).

fof(11,conjecture,
    ? [X10] :
      ( id(X10,X10)
      & ? [X29] :
          ( r1(X29)
          & r2(X29,X10) ) ),
    file('/export/starexec/sandbox/tmp/tmp95FVsK/sel_theBenchmark.p_1',oneidone) ).

fof(12,negated_conjecture,
    ~ ? [X10] :
        ( id(X10,X10)
        & ? [X29] :
            ( r1(X29)
            & r2(X29,X10) ) ),
    inference(assume_negation,[status(cth)],[11]) ).

fof(13,plain,
    ! [X1] :
    ? [X2] :
    ! [X3] :
      ( ( id(X3,X2)
        & r2(X1,X3) )
      | ( ~ r2(X1,X3)
        & ~ id(X3,X2) ) ),
    inference(fof_simplification,[status(thm)],[1,theory(equality)]) ).

fof(15,plain,
    ? [X12] :
    ! [X13] :
      ( ( id(X13,X12)
        & r1(X13) )
      | ( ~ r1(X13)
        & ~ id(X13,X12) ) ),
    inference(fof_simplification,[status(thm)],[4,theory(equality)]) ).

fof(21,plain,
    ! [X4] :
    ? [X5] :
    ! [X6] :
      ( ( id(X6,X5)
        & r2(X4,X6) )
      | ( ~ r2(X4,X6)
        & ~ id(X6,X5) ) ),
    inference(variable_rename,[status(thm)],[13]) ).

fof(22,plain,
    ! [X4,X6] :
      ( ( id(X6,esk1_1(X4))
        & r2(X4,X6) )
      | ( ~ r2(X4,X6)
        & ~ id(X6,esk1_1(X4)) ) ),
    inference(skolemize,[status(esa)],[21]) ).

fof(23,plain,
    ! [X4,X6] :
      ( ( ~ r2(X4,X6)
        | id(X6,esk1_1(X4)) )
      & ( ~ id(X6,esk1_1(X4))
        | id(X6,esk1_1(X4)) )
      & ( ~ r2(X4,X6)
        | r2(X4,X6) )
      & ( ~ id(X6,esk1_1(X4))
        | r2(X4,X6) ) ),
    inference(distribute,[status(thm)],[22]) ).

cnf(24,plain,
    ( r2(X1,X2)
    | ~ id(X2,esk1_1(X1)) ),
    inference(split_conjunct,[status(thm)],[23]) ).

fof(38,plain,
    ? [X14] :
    ! [X15] :
      ( ( id(X15,X14)
        & r1(X15) )
      | ( ~ r1(X15)
        & ~ id(X15,X14) ) ),
    inference(variable_rename,[status(thm)],[15]) ).

fof(39,plain,
    ! [X15] :
      ( ( id(X15,esk5_0)
        & r1(X15) )
      | ( ~ r1(X15)
        & ~ id(X15,esk5_0) ) ),
    inference(skolemize,[status(esa)],[38]) ).

fof(40,plain,
    ! [X15] :
      ( ( ~ r1(X15)
        | id(X15,esk5_0) )
      & ( ~ id(X15,esk5_0)
        | id(X15,esk5_0) )
      & ( ~ r1(X15)
        | r1(X15) )
      & ( ~ id(X15,esk5_0)
        | r1(X15) ) ),
    inference(distribute,[status(thm)],[39]) ).

cnf(41,plain,
    ( r1(X1)
    | ~ id(X1,esk5_0) ),
    inference(split_conjunct,[status(thm)],[40]) ).

fof(49,plain,
    ! [X20] : id(X20,X20),
    inference(variable_rename,[status(thm)],[7]) ).

cnf(50,plain,
    id(X1,X1),
    inference(split_conjunct,[status(thm)],[49]) ).

fof(66,negated_conjecture,
    ! [X10] :
      ( ~ id(X10,X10)
      | ! [X29] :
          ( ~ r1(X29)
          | ~ r2(X29,X10) ) ),
    inference(fof_nnf,[status(thm)],[12]) ).

fof(67,negated_conjecture,
    ! [X30] :
      ( ~ id(X30,X30)
      | ! [X31] :
          ( ~ r1(X31)
          | ~ r2(X31,X30) ) ),
    inference(variable_rename,[status(thm)],[66]) ).

fof(68,negated_conjecture,
    ! [X30,X31] :
      ( ~ r1(X31)
      | ~ r2(X31,X30)
      | ~ id(X30,X30) ),
    inference(shift_quantors,[status(thm)],[67]) ).

cnf(69,negated_conjecture,
    ( ~ id(X1,X1)
    | ~ r2(X2,X1)
    | ~ r1(X2) ),
    inference(split_conjunct,[status(thm)],[68]) ).

cnf(83,negated_conjecture,
    ( ~ r1(X2)
    | $false
    | ~ r2(X2,X1) ),
    inference(rw,[status(thm)],[69,50,theory(equality)]) ).

cnf(84,negated_conjecture,
    ( ~ r1(X2)
    | ~ r2(X2,X1) ),
    inference(cn,[status(thm)],[83,theory(equality)]) ).

cnf(86,plain,
    r2(X1,esk1_1(X1)),
    inference(spm,[status(thm)],[24,50,theory(equality)]) ).

cnf(114,negated_conjecture,
    ~ r1(X1),
    inference(spm,[status(thm)],[84,86,theory(equality)]) ).

cnf(123,negated_conjecture,
    ~ id(X1,esk5_0),
    inference(spm,[status(thm)],[114,41,theory(equality)]) ).

cnf(172,negated_conjecture,
    $false,
    inference(spm,[status(thm)],[123,50,theory(equality)]) ).

cnf(176,negated_conjecture,
    $false,
    172,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : NUN069+1 : 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 : n185.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 : Sat Feb 23 19:49:43 CST 2019
% 0.03/0.25  % CPUTime  : 
% 0.08/0.29  % SZS status Started for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.29  --creating new selector for [NUM009+0.ax]
% 0.08/0.37  -running prover on /export/starexec/sandbox/tmp/tmp95FVsK/sel_theBenchmark.p_1 with time limit 29
% 0.08/0.37  -running prover with command ['/export/starexec/sandbox/solver/bin/Source/./Source/PROVER/eproof.working', '-s', '-tLPO4', '-xAuto', '-tAuto', '--memory-limit=768', '--tptp3-format', '--cpu-limit=29', '/export/starexec/sandbox/tmp/tmp95FVsK/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/sandbox/benchmark/theBenchmark.p
% 0.08/0.37  % SZS status Ended for /export/starexec/sandbox/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
%------------------------------------------------------------------------------