TSTP Solution File: NUN073+1 by SInE---0.4

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%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : NUN073+1 : TPTP v7.3.0. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : sine.py -e eprover -t %d %s

% Computer : n190.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 14:27:07 EST 2019

% Result   : Theorem 0.08s
% Output   : CNFRefutation 0.08s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   35 (  11 unt;   0 def)
%            Number of atoms       :   99 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  124 (  60   ~;  49   |;  15   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :   71 (   1 sgn  49   !;  10   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(2,axiom,
    ! [X4,X5] :
      ( ! [X6] :
          ( ! [X7] :
              ( ~ id(X7,X6)
              | ~ r2(X4,X7) )
          | ~ r2(X5,X6) )
      | id(X4,X5) ),
    file('/export/starexec/sandbox2/tmp/tmphxkdNc/sel_theBenchmark.p_1',axiom_3a) ).

fof(5,axiom,
    ! [X14,X15] :
      ( ~ id(X14,X15)
      | id(X15,X14) ),
    file('/export/starexec/sandbox2/tmp/tmphxkdNc/sel_theBenchmark.p_1',axiom_6) ).

fof(10,axiom,
    ! [X26,X27] :
      ( ! [X28] :
          ( ~ id(X28,X27)
          | ~ r1(X28) )
      | ~ r2(X26,X27) ),
    file('/export/starexec/sandbox2/tmp/tmphxkdNc/sel_theBenchmark.p_1',axiom_7a) ).

fof(11,conjecture,
    ! [X10] :
      ( ! [X29] :
          ( ! [X30] :
              ( ~ r1(X30)
              | ~ r2(X30,X29) )
          | ~ id(X29,X10) )
      | ! [X31] :
          ( ! [X32] :
              ( ~ r1(X32)
              | ~ r2(X32,X31) )
          | ~ r2(X31,X10) ) ),
    file('/export/starexec/sandbox2/tmp/tmphxkdNc/sel_theBenchmark.p_1',oneunidtwo) ).

fof(12,negated_conjecture,
    ~ ! [X10] :
        ( ! [X29] :
            ( ! [X30] :
                ( ~ r1(X30)
                | ~ r2(X30,X29) )
            | ~ id(X29,X10) )
        | ! [X31] :
            ( ! [X32] :
                ( ~ r1(X32)
                | ~ r2(X32,X31) )
            | ~ r2(X31,X10) ) ),
    inference(assume_negation,[status(cth)],[11]) ).

fof(14,plain,
    ! [X4,X5] :
      ( ! [X6] :
          ( ! [X7] :
              ( ~ id(X7,X6)
              | ~ r2(X4,X7) )
          | ~ r2(X5,X6) )
      | id(X4,X5) ),
    inference(fof_simplification,[status(thm)],[2,theory(equality)]) ).

fof(16,plain,
    ! [X14,X15] :
      ( ~ id(X14,X15)
      | id(X15,X14) ),
    inference(fof_simplification,[status(thm)],[5,theory(equality)]) ).

fof(20,plain,
    ! [X26,X27] :
      ( ! [X28] :
          ( ~ id(X28,X27)
          | ~ r1(X28) )
      | ~ r2(X26,X27) ),
    inference(fof_simplification,[status(thm)],[10,theory(equality)]) ).

fof(21,negated_conjecture,
    ~ ! [X10] :
        ( ! [X29] :
            ( ! [X30] :
                ( ~ r1(X30)
                | ~ r2(X30,X29) )
            | ~ id(X29,X10) )
        | ! [X31] :
            ( ! [X32] :
                ( ~ r1(X32)
                | ~ r2(X32,X31) )
            | ~ r2(X31,X10) ) ),
    inference(fof_simplification,[status(thm)],[12,theory(equality)]) ).

fof(29,plain,
    ! [X8,X9] :
      ( ! [X10] :
          ( ! [X11] :
              ( ~ id(X11,X10)
              | ~ r2(X8,X11) )
          | ~ r2(X9,X10) )
      | id(X8,X9) ),
    inference(variable_rename,[status(thm)],[14]) ).

fof(30,plain,
    ! [X8,X9,X10,X11] :
      ( ~ id(X11,X10)
      | ~ r2(X8,X11)
      | ~ r2(X9,X10)
      | id(X8,X9) ),
    inference(shift_quantors,[status(thm)],[29]) ).

cnf(31,plain,
    ( id(X1,X2)
    | ~ r2(X2,X3)
    | ~ r2(X1,X4)
    | ~ id(X4,X3) ),
    inference(split_conjunct,[status(thm)],[30]) ).

fof(46,plain,
    ! [X16,X17] :
      ( ~ id(X16,X17)
      | id(X17,X16) ),
    inference(variable_rename,[status(thm)],[16]) ).

cnf(47,plain,
    ( id(X1,X2)
    | ~ id(X2,X1) ),
    inference(split_conjunct,[status(thm)],[46]) ).

fof(64,plain,
    ! [X29,X30] :
      ( ! [X31] :
          ( ~ id(X31,X30)
          | ~ r1(X31) )
      | ~ r2(X29,X30) ),
    inference(variable_rename,[status(thm)],[20]) ).

fof(65,plain,
    ! [X29,X30,X31] :
      ( ~ id(X31,X30)
      | ~ r1(X31)
      | ~ r2(X29,X30) ),
    inference(shift_quantors,[status(thm)],[64]) ).

cnf(66,plain,
    ( ~ r2(X1,X2)
    | ~ r1(X3)
    | ~ id(X3,X2) ),
    inference(split_conjunct,[status(thm)],[65]) ).

fof(67,negated_conjecture,
    ? [X10] :
      ( ? [X29] :
          ( ? [X30] :
              ( r1(X30)
              & r2(X30,X29) )
          & id(X29,X10) )
      & ? [X31] :
          ( ? [X32] :
              ( r1(X32)
              & r2(X32,X31) )
          & r2(X31,X10) ) ),
    inference(fof_nnf,[status(thm)],[21]) ).

fof(68,negated_conjecture,
    ? [X33] :
      ( ? [X34] :
          ( ? [X35] :
              ( r1(X35)
              & r2(X35,X34) )
          & id(X34,X33) )
      & ? [X36] :
          ( ? [X37] :
              ( r1(X37)
              & r2(X37,X36) )
          & r2(X36,X33) ) ),
    inference(variable_rename,[status(thm)],[67]) ).

fof(69,negated_conjecture,
    ( r1(esk8_0)
    & r2(esk8_0,esk7_0)
    & id(esk7_0,esk6_0)
    & r1(esk10_0)
    & r2(esk10_0,esk9_0)
    & r2(esk9_0,esk6_0) ),
    inference(skolemize,[status(esa)],[68]) ).

cnf(70,negated_conjecture,
    r2(esk9_0,esk6_0),
    inference(split_conjunct,[status(thm)],[69]) ).

cnf(71,negated_conjecture,
    r2(esk10_0,esk9_0),
    inference(split_conjunct,[status(thm)],[69]) ).

cnf(73,negated_conjecture,
    id(esk7_0,esk6_0),
    inference(split_conjunct,[status(thm)],[69]) ).

cnf(74,negated_conjecture,
    r2(esk8_0,esk7_0),
    inference(split_conjunct,[status(thm)],[69]) ).

cnf(75,negated_conjecture,
    r1(esk8_0),
    inference(split_conjunct,[status(thm)],[69]) ).

cnf(79,negated_conjecture,
    id(esk6_0,esk7_0),
    inference(spm,[status(thm)],[47,73,theory(equality)]) ).

cnf(88,negated_conjecture,
    ( ~ r1(X1)
    | ~ id(X1,esk9_0) ),
    inference(spm,[status(thm)],[66,71,theory(equality)]) ).

cnf(107,negated_conjecture,
    ( id(X1,esk8_0)
    | ~ r2(X1,X2)
    | ~ id(X2,esk7_0) ),
    inference(spm,[status(thm)],[31,74,theory(equality)]) ).

cnf(172,negated_conjecture,
    ~ id(esk8_0,esk9_0),
    inference(spm,[status(thm)],[88,75,theory(equality)]) ).

cnf(647,negated_conjecture,
    ( id(esk9_0,esk8_0)
    | ~ id(esk6_0,esk7_0) ),
    inference(spm,[status(thm)],[107,70,theory(equality)]) ).

cnf(655,negated_conjecture,
    ( id(esk9_0,esk8_0)
    | $false ),
    inference(rw,[status(thm)],[647,79,theory(equality)]) ).

cnf(656,negated_conjecture,
    id(esk9_0,esk8_0),
    inference(cn,[status(thm)],[655,theory(equality)]) ).

cnf(671,negated_conjecture,
    id(esk8_0,esk9_0),
    inference(spm,[status(thm)],[47,656,theory(equality)]) ).

cnf(677,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[671,172,theory(equality)]) ).

cnf(678,negated_conjecture,
    $false,
    677,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.04  % Problem  : NUN073+1 : TPTP v7.3.0. Released v7.3.0.
% 0.03/0.05  % Command  : sine.py -e eprover -t %d %s
% 0.03/0.26  % Computer : n190.star.cs.uiowa.edu
% 0.03/0.26  % Model    : x86_64 x86_64
% 0.03/0.26  % CPU      : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.03/0.26  % Memory   : 32218.5MB
% 0.03/0.26  % OS       : Linux 3.10.0-862.11.6.el7.x86_64
% 0.03/0.26  % CPULimit : 300
% 0.03/0.26  % DateTime : Sat Feb 23 20:36:43 CST 2019
% 0.03/0.26  % CPUTime  : 
% 0.08/0.31  % SZS status Started for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.31  --creating new selector for [NUM009+0.ax]
% 0.08/0.40  -running prover on /export/starexec/sandbox2/tmp/tmphxkdNc/sel_theBenchmark.p_1 with time limit 29
% 0.08/0.40  -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/tmphxkdNc/sel_theBenchmark.p_1']
% 0.08/0.40  -prover status Theorem
% 0.08/0.40  Problem theBenchmark.p solved in phase 0.
% 0.08/0.40  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.40  % SZS status Ended for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.40  Solved 1 out of 1.
% 0.08/0.40  # Problem is unsatisfiable (or provable), constructing proof object
% 0.08/0.40  # SZS status Theorem
% 0.08/0.40  # SZS output start CNFRefutation.
% See solution above
% 0.08/0.41  # SZS output end CNFRefutation
%------------------------------------------------------------------------------