TSTP Solution File: PUZ031+1 by SInE---0.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : PUZ031+1 : TPTP v5.0.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : art03.cs.miami.edu
% Model    : i686 i686
% CPU      : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory   : 2018MB
% OS       : Linux 2.6.26.8-57.fc8
% CPULimit : 300s
% DateTime : Sun Dec 26 00:52:31 EST 2010

% Result   : Theorem 0.18s
% Output   : CNFRefutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   37
%            Number of leaves      :   18
% Syntax   : Number of formulae    :  126 (  28 unt;   0 def)
%            Number of atoms       :  427 (   0 equ)
%            Maximal formula atoms :    9 (   3 avg)
%            Number of connectives :  543 ( 242   ~; 251   |;  34   &)
%                                         (   0 <=>;  16  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   11 (  10 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-1 aty)
%            Number of variables   :  203 (   3 sgn  82   !;  20   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(2,axiom,
    ! [X1,X2] :
      ( ( wolf(X1)
        & ( fox(X2)
          | grain(X2) ) )
     => ~ eats(X1,X2) ),
    file('/tmp/tmp04pUoF/sel_PUZ031+1.p_1',pel47_11) ).

fof(4,axiom,
    ! [X1] :
      ( ( caterpillar(X1)
        | snail(X1) )
     => ? [X2] :
          ( plant(X2)
          & eats(X1,X2) ) ),
    file('/tmp/tmp04pUoF/sel_PUZ031+1.p_1',pel47_14) ).

fof(5,axiom,
    ! [X1,X2] :
      ( ( fox(X1)
        & wolf(X2) )
     => much_smaller(X1,X2) ),
    file('/tmp/tmp04pUoF/sel_PUZ031+1.p_1',pel47_10) ).

fof(6,axiom,
    ! [X1,X2] :
      ( ( bird(X2)
        & ( snail(X1)
          | caterpillar(X1) ) )
     => much_smaller(X1,X2) ),
    file('/tmp/tmp04pUoF/sel_PUZ031+1.p_1',pel47_8) ).

fof(8,axiom,
    ! [X1] :
      ( snail(X1)
     => animal(X1) ),
    file('/tmp/tmp04pUoF/sel_PUZ031+1.p_1',pel47_5_1) ).

fof(9,axiom,
    ! [X3] :
      ( grain(X3)
     => plant(X3) ),
    file('/tmp/tmp04pUoF/sel_PUZ031+1.p_1',pel47_6_2) ).

fof(10,axiom,
    ? [X1] : grain(X1),
    file('/tmp/tmp04pUoF/sel_PUZ031+1.p_1',pel47_6_1) ).

fof(11,axiom,
    ! [X1,X2] :
      ( ( bird(X1)
        & fox(X2) )
     => much_smaller(X1,X2) ),
    file('/tmp/tmp04pUoF/sel_PUZ031+1.p_1',pel47_9) ).

fof(12,axiom,
    ? [X3] : bird(X3),
    file('/tmp/tmp04pUoF/sel_PUZ031+1.p_1',pel47_3_2) ).

fof(13,axiom,
    ? [X3] : snail(X3),
    file('/tmp/tmp04pUoF/sel_PUZ031+1.p_1',pel47_5_2) ).

fof(14,axiom,
    ! [X1] :
      ( bird(X1)
     => animal(X1) ),
    file('/tmp/tmp04pUoF/sel_PUZ031+1.p_1',pel47_3_1) ).

fof(15,axiom,
    ! [X1] :
      ( wolf(X1)
     => animal(X1) ),
    file('/tmp/tmp04pUoF/sel_PUZ031+1.p_1',pel47_1_1) ).

fof(16,axiom,
    ? [X3] : wolf(X3),
    file('/tmp/tmp04pUoF/sel_PUZ031+1.p_1',pel47_1_2) ).

fof(17,axiom,
    ! [X1,X2] :
      ( ( bird(X1)
        & snail(X2) )
     => ~ eats(X1,X2) ),
    file('/tmp/tmp04pUoF/sel_PUZ031+1.p_1',pel47_13) ).

fof(18,axiom,
    ! [X1] :
      ( animal(X1)
     => ( ! [X2] :
            ( plant(X2)
           => eats(X1,X2) )
        | ! [X4] :
            ( ( animal(X4)
              & much_smaller(X4,X1)
              & ? [X5] :
                  ( plant(X5)
                  & eats(X4,X5) ) )
           => eats(X1,X4) ) ) ),
    file('/tmp/tmp04pUoF/sel_PUZ031+1.p_1',pel47_7) ).

fof(19,axiom,
    ? [X3] : fox(X3),
    file('/tmp/tmp04pUoF/sel_PUZ031+1.p_1',pel47_2_2) ).

fof(20,axiom,
    ! [X1] :
      ( fox(X1)
     => animal(X1) ),
    file('/tmp/tmp04pUoF/sel_PUZ031+1.p_1',pel47_2_1) ).

fof(21,conjecture,
    ? [X1,X2] :
      ( animal(X1)
      & animal(X2)
      & ? [X5] :
          ( grain(X5)
          & eats(X2,X5)
          & eats(X1,X2) ) ),
    file('/tmp/tmp04pUoF/sel_PUZ031+1.p_1',pel47) ).

fof(22,negated_conjecture,
    ~ ? [X1,X2] :
        ( animal(X1)
        & animal(X2)
        & ? [X5] :
            ( grain(X5)
            & eats(X2,X5)
            & eats(X1,X2) ) ),
    inference(assume_negation,[status(cth)],[21]) ).

fof(23,plain,
    ! [X1,X2] :
      ( ( wolf(X1)
        & ( fox(X2)
          | grain(X2) ) )
     => ~ eats(X1,X2) ),
    inference(fof_simplification,[status(thm)],[2,theory(equality)]) ).

fof(24,plain,
    ! [X1,X2] :
      ( ( bird(X1)
        & snail(X2) )
     => ~ eats(X1,X2) ),
    inference(fof_simplification,[status(thm)],[17,theory(equality)]) ).

fof(28,plain,
    ! [X1,X2] :
      ( ~ wolf(X1)
      | ( ~ fox(X2)
        & ~ grain(X2) )
      | ~ eats(X1,X2) ),
    inference(fof_nnf,[status(thm)],[23]) ).

fof(29,plain,
    ! [X3,X4] :
      ( ~ wolf(X3)
      | ( ~ fox(X4)
        & ~ grain(X4) )
      | ~ eats(X3,X4) ),
    inference(variable_rename,[status(thm)],[28]) ).

fof(30,plain,
    ! [X3,X4] :
      ( ( ~ fox(X4)
        | ~ wolf(X3)
        | ~ eats(X3,X4) )
      & ( ~ grain(X4)
        | ~ wolf(X3)
        | ~ eats(X3,X4) ) ),
    inference(distribute,[status(thm)],[29]) ).

cnf(31,plain,
    ( ~ eats(X1,X2)
    | ~ wolf(X1)
    | ~ grain(X2) ),
    inference(split_conjunct,[status(thm)],[30]) ).

cnf(32,plain,
    ( ~ eats(X1,X2)
    | ~ wolf(X1)
    | ~ fox(X2) ),
    inference(split_conjunct,[status(thm)],[30]) ).

fof(36,plain,
    ! [X1] :
      ( ( ~ caterpillar(X1)
        & ~ snail(X1) )
      | ? [X2] :
          ( plant(X2)
          & eats(X1,X2) ) ),
    inference(fof_nnf,[status(thm)],[4]) ).

fof(37,plain,
    ! [X3] :
      ( ( ~ caterpillar(X3)
        & ~ snail(X3) )
      | ? [X4] :
          ( plant(X4)
          & eats(X3,X4) ) ),
    inference(variable_rename,[status(thm)],[36]) ).

fof(38,plain,
    ! [X3] :
      ( ( ~ caterpillar(X3)
        & ~ snail(X3) )
      | ( plant(esk2_1(X3))
        & eats(X3,esk2_1(X3)) ) ),
    inference(skolemize,[status(esa)],[37]) ).

fof(39,plain,
    ! [X3] :
      ( ( plant(esk2_1(X3))
        | ~ caterpillar(X3) )
      & ( eats(X3,esk2_1(X3))
        | ~ caterpillar(X3) )
      & ( plant(esk2_1(X3))
        | ~ snail(X3) )
      & ( eats(X3,esk2_1(X3))
        | ~ snail(X3) ) ),
    inference(distribute,[status(thm)],[38]) ).

cnf(40,plain,
    ( eats(X1,esk2_1(X1))
    | ~ snail(X1) ),
    inference(split_conjunct,[status(thm)],[39]) ).

cnf(41,plain,
    ( plant(esk2_1(X1))
    | ~ snail(X1) ),
    inference(split_conjunct,[status(thm)],[39]) ).

fof(44,plain,
    ! [X1,X2] :
      ( ~ fox(X1)
      | ~ wolf(X2)
      | much_smaller(X1,X2) ),
    inference(fof_nnf,[status(thm)],[5]) ).

fof(45,plain,
    ! [X3,X4] :
      ( ~ fox(X3)
      | ~ wolf(X4)
      | much_smaller(X3,X4) ),
    inference(variable_rename,[status(thm)],[44]) ).

cnf(46,plain,
    ( much_smaller(X1,X2)
    | ~ wolf(X2)
    | ~ fox(X1) ),
    inference(split_conjunct,[status(thm)],[45]) ).

fof(47,plain,
    ! [X1,X2] :
      ( ~ bird(X2)
      | ( ~ snail(X1)
        & ~ caterpillar(X1) )
      | much_smaller(X1,X2) ),
    inference(fof_nnf,[status(thm)],[6]) ).

fof(48,plain,
    ! [X3,X4] :
      ( ~ bird(X4)
      | ( ~ snail(X3)
        & ~ caterpillar(X3) )
      | much_smaller(X3,X4) ),
    inference(variable_rename,[status(thm)],[47]) ).

fof(49,plain,
    ! [X3,X4] :
      ( ( ~ snail(X3)
        | ~ bird(X4)
        | much_smaller(X3,X4) )
      & ( ~ caterpillar(X3)
        | ~ bird(X4)
        | much_smaller(X3,X4) ) ),
    inference(distribute,[status(thm)],[48]) ).

cnf(51,plain,
    ( much_smaller(X1,X2)
    | ~ bird(X2)
    | ~ snail(X1) ),
    inference(split_conjunct,[status(thm)],[49]) ).

fof(55,plain,
    ! [X1] :
      ( ~ snail(X1)
      | animal(X1) ),
    inference(fof_nnf,[status(thm)],[8]) ).

fof(56,plain,
    ! [X2] :
      ( ~ snail(X2)
      | animal(X2) ),
    inference(variable_rename,[status(thm)],[55]) ).

cnf(57,plain,
    ( animal(X1)
    | ~ snail(X1) ),
    inference(split_conjunct,[status(thm)],[56]) ).

fof(58,plain,
    ! [X3] :
      ( ~ grain(X3)
      | plant(X3) ),
    inference(fof_nnf,[status(thm)],[9]) ).

fof(59,plain,
    ! [X4] :
      ( ~ grain(X4)
      | plant(X4) ),
    inference(variable_rename,[status(thm)],[58]) ).

cnf(60,plain,
    ( plant(X1)
    | ~ grain(X1) ),
    inference(split_conjunct,[status(thm)],[59]) ).

fof(61,plain,
    ? [X2] : grain(X2),
    inference(variable_rename,[status(thm)],[10]) ).

fof(62,plain,
    grain(esk3_0),
    inference(skolemize,[status(esa)],[61]) ).

cnf(63,plain,
    grain(esk3_0),
    inference(split_conjunct,[status(thm)],[62]) ).

fof(64,plain,
    ! [X1,X2] :
      ( ~ bird(X1)
      | ~ fox(X2)
      | much_smaller(X1,X2) ),
    inference(fof_nnf,[status(thm)],[11]) ).

fof(65,plain,
    ! [X3,X4] :
      ( ~ bird(X3)
      | ~ fox(X4)
      | much_smaller(X3,X4) ),
    inference(variable_rename,[status(thm)],[64]) ).

cnf(66,plain,
    ( much_smaller(X1,X2)
    | ~ fox(X2)
    | ~ bird(X1) ),
    inference(split_conjunct,[status(thm)],[65]) ).

fof(67,plain,
    ? [X4] : bird(X4),
    inference(variable_rename,[status(thm)],[12]) ).

fof(68,plain,
    bird(esk4_0),
    inference(skolemize,[status(esa)],[67]) ).

cnf(69,plain,
    bird(esk4_0),
    inference(split_conjunct,[status(thm)],[68]) ).

fof(70,plain,
    ? [X4] : snail(X4),
    inference(variable_rename,[status(thm)],[13]) ).

fof(71,plain,
    snail(esk5_0),
    inference(skolemize,[status(esa)],[70]) ).

cnf(72,plain,
    snail(esk5_0),
    inference(split_conjunct,[status(thm)],[71]) ).

fof(73,plain,
    ! [X1] :
      ( ~ bird(X1)
      | animal(X1) ),
    inference(fof_nnf,[status(thm)],[14]) ).

fof(74,plain,
    ! [X2] :
      ( ~ bird(X2)
      | animal(X2) ),
    inference(variable_rename,[status(thm)],[73]) ).

cnf(75,plain,
    ( animal(X1)
    | ~ bird(X1) ),
    inference(split_conjunct,[status(thm)],[74]) ).

fof(76,plain,
    ! [X1] :
      ( ~ wolf(X1)
      | animal(X1) ),
    inference(fof_nnf,[status(thm)],[15]) ).

fof(77,plain,
    ! [X2] :
      ( ~ wolf(X2)
      | animal(X2) ),
    inference(variable_rename,[status(thm)],[76]) ).

cnf(78,plain,
    ( animal(X1)
    | ~ wolf(X1) ),
    inference(split_conjunct,[status(thm)],[77]) ).

fof(79,plain,
    ? [X4] : wolf(X4),
    inference(variable_rename,[status(thm)],[16]) ).

fof(80,plain,
    wolf(esk6_0),
    inference(skolemize,[status(esa)],[79]) ).

cnf(81,plain,
    wolf(esk6_0),
    inference(split_conjunct,[status(thm)],[80]) ).

fof(82,plain,
    ! [X1,X2] :
      ( ~ bird(X1)
      | ~ snail(X2)
      | ~ eats(X1,X2) ),
    inference(fof_nnf,[status(thm)],[24]) ).

fof(83,plain,
    ! [X3,X4] :
      ( ~ bird(X3)
      | ~ snail(X4)
      | ~ eats(X3,X4) ),
    inference(variable_rename,[status(thm)],[82]) ).

cnf(84,plain,
    ( ~ eats(X1,X2)
    | ~ snail(X2)
    | ~ bird(X1) ),
    inference(split_conjunct,[status(thm)],[83]) ).

fof(85,plain,
    ! [X1] :
      ( ~ animal(X1)
      | ! [X2] :
          ( ~ plant(X2)
          | eats(X1,X2) )
      | ! [X4] :
          ( ~ animal(X4)
          | ~ much_smaller(X4,X1)
          | ! [X5] :
              ( ~ plant(X5)
              | ~ eats(X4,X5) )
          | eats(X1,X4) ) ),
    inference(fof_nnf,[status(thm)],[18]) ).

fof(86,plain,
    ! [X6] :
      ( ~ animal(X6)
      | ! [X7] :
          ( ~ plant(X7)
          | eats(X6,X7) )
      | ! [X8] :
          ( ~ animal(X8)
          | ~ much_smaller(X8,X6)
          | ! [X9] :
              ( ~ plant(X9)
              | ~ eats(X8,X9) )
          | eats(X6,X8) ) ),
    inference(variable_rename,[status(thm)],[85]) ).

fof(87,plain,
    ! [X6,X7,X8,X9] :
      ( ~ plant(X9)
      | ~ eats(X8,X9)
      | ~ animal(X8)
      | ~ much_smaller(X8,X6)
      | eats(X6,X8)
      | ~ plant(X7)
      | eats(X6,X7)
      | ~ animal(X6) ),
    inference(shift_quantors,[status(thm)],[86]) ).

cnf(88,plain,
    ( eats(X1,X2)
    | eats(X1,X3)
    | ~ animal(X1)
    | ~ plant(X2)
    | ~ much_smaller(X3,X1)
    | ~ animal(X3)
    | ~ eats(X3,X4)
    | ~ plant(X4) ),
    inference(split_conjunct,[status(thm)],[87]) ).

fof(89,plain,
    ? [X4] : fox(X4),
    inference(variable_rename,[status(thm)],[19]) ).

fof(90,plain,
    fox(esk7_0),
    inference(skolemize,[status(esa)],[89]) ).

cnf(91,plain,
    fox(esk7_0),
    inference(split_conjunct,[status(thm)],[90]) ).

fof(92,plain,
    ! [X1] :
      ( ~ fox(X1)
      | animal(X1) ),
    inference(fof_nnf,[status(thm)],[20]) ).

fof(93,plain,
    ! [X2] :
      ( ~ fox(X2)
      | animal(X2) ),
    inference(variable_rename,[status(thm)],[92]) ).

cnf(94,plain,
    ( animal(X1)
    | ~ fox(X1) ),
    inference(split_conjunct,[status(thm)],[93]) ).

fof(95,negated_conjecture,
    ! [X1,X2] :
      ( ~ animal(X1)
      | ~ animal(X2)
      | ! [X5] :
          ( ~ grain(X5)
          | ~ eats(X2,X5)
          | ~ eats(X1,X2) ) ),
    inference(fof_nnf,[status(thm)],[22]) ).

fof(96,negated_conjecture,
    ! [X6,X7] :
      ( ~ animal(X6)
      | ~ animal(X7)
      | ! [X8] :
          ( ~ grain(X8)
          | ~ eats(X7,X8)
          | ~ eats(X6,X7) ) ),
    inference(variable_rename,[status(thm)],[95]) ).

fof(97,negated_conjecture,
    ! [X6,X7,X8] :
      ( ~ grain(X8)
      | ~ eats(X7,X8)
      | ~ eats(X6,X7)
      | ~ animal(X6)
      | ~ animal(X7) ),
    inference(shift_quantors,[status(thm)],[96]) ).

cnf(98,negated_conjecture,
    ( ~ animal(X1)
    | ~ animal(X2)
    | ~ eats(X2,X1)
    | ~ eats(X1,X3)
    | ~ grain(X3) ),
    inference(split_conjunct,[status(thm)],[97]) ).

cnf(101,plain,
    animal(esk7_0),
    inference(spm,[status(thm)],[94,91,theory(equality)]) ).

cnf(103,plain,
    animal(esk4_0),
    inference(spm,[status(thm)],[75,69,theory(equality)]) ).

cnf(104,plain,
    plant(esk3_0),
    inference(spm,[status(thm)],[60,63,theory(equality)]) ).

cnf(115,plain,
    ( eats(X1,X2)
    | eats(X1,X3)
    | ~ plant(X4)
    | ~ plant(X2)
    | ~ eats(X3,X4)
    | ~ animal(X3)
    | ~ animal(X1)
    | ~ fox(X3)
    | ~ wolf(X1) ),
    inference(spm,[status(thm)],[88,46,theory(equality)]) ).

cnf(116,plain,
    ( eats(X1,X2)
    | eats(X1,X3)
    | ~ plant(X4)
    | ~ plant(X2)
    | ~ eats(X3,X4)
    | ~ animal(X3)
    | ~ animal(X1)
    | ~ bird(X3)
    | ~ fox(X1) ),
    inference(spm,[status(thm)],[88,66,theory(equality)]) ).

cnf(117,plain,
    ( eats(X1,X2)
    | eats(X1,X3)
    | ~ plant(X4)
    | ~ plant(X2)
    | ~ eats(X3,X4)
    | ~ animal(X3)
    | ~ animal(X1)
    | ~ bird(X1)
    | ~ snail(X3) ),
    inference(spm,[status(thm)],[88,51,theory(equality)]) ).

cnf(140,plain,
    ( eats(X1,X2)
    | eats(X1,X3)
    | ~ plant(X4)
    | ~ plant(X2)
    | ~ eats(X3,X4)
    | ~ fox(X3)
    | ~ wolf(X1)
    | ~ animal(X3) ),
    inference(csr,[status(thm)],[115,78]) ).

cnf(141,plain,
    ( eats(X1,X2)
    | eats(X1,X3)
    | ~ plant(X4)
    | ~ plant(X2)
    | ~ eats(X3,X4)
    | ~ fox(X3)
    | ~ wolf(X1) ),
    inference(csr,[status(thm)],[140,94]) ).

cnf(142,plain,
    ( eats(X1,X2)
    | ~ plant(X4)
    | ~ plant(X2)
    | ~ eats(X3,X4)
    | ~ fox(X3)
    | ~ wolf(X1) ),
    inference(csr,[status(thm)],[141,32]) ).

cnf(153,plain,
    ( eats(X1,X2)
    | eats(X1,X3)
    | ~ bird(X3)
    | ~ plant(X4)
    | ~ plant(X2)
    | ~ eats(X3,X4)
    | ~ fox(X1)
    | ~ animal(X3) ),
    inference(csr,[status(thm)],[116,94]) ).

cnf(154,plain,
    ( eats(X1,X2)
    | eats(X1,X3)
    | ~ bird(X3)
    | ~ plant(X4)
    | ~ plant(X2)
    | ~ eats(X3,X4)
    | ~ fox(X1) ),
    inference(csr,[status(thm)],[153,75]) ).

cnf(177,plain,
    ( eats(X1,X2)
    | eats(X1,X3)
    | ~ bird(X1)
    | ~ plant(X4)
    | ~ plant(X2)
    | ~ snail(X3)
    | ~ eats(X3,X4)
    | ~ animal(X3) ),
    inference(csr,[status(thm)],[117,75]) ).

cnf(178,plain,
    ( eats(X1,X2)
    | eats(X1,X3)
    | ~ bird(X1)
    | ~ plant(X4)
    | ~ plant(X2)
    | ~ snail(X3)
    | ~ eats(X3,X4) ),
    inference(csr,[status(thm)],[177,57]) ).

cnf(179,plain,
    ( eats(X1,X2)
    | ~ bird(X1)
    | ~ plant(X4)
    | ~ plant(X2)
    | ~ snail(X3)
    | ~ eats(X3,X4) ),
    inference(csr,[status(thm)],[178,84]) ).

cnf(182,plain,
    ( eats(X1,X2)
    | ~ bird(X1)
    | ~ plant(esk2_1(X3))
    | ~ plant(X2)
    | ~ snail(X3) ),
    inference(spm,[status(thm)],[179,40,theory(equality)]) ).

cnf(210,plain,
    ( eats(X1,X2)
    | ~ bird(X1)
    | ~ plant(X2)
    | ~ snail(X3) ),
    inference(csr,[status(thm)],[182,41]) ).

cnf(211,plain,
    ( eats(esk4_0,X1)
    | ~ plant(X1)
    | ~ snail(X2) ),
    inference(spm,[status(thm)],[210,69,theory(equality)]) ).

cnf(212,plain,
    ( eats(esk4_0,esk3_0)
    | ~ snail(X1) ),
    inference(spm,[status(thm)],[211,104,theory(equality)]) ).

cnf(219,plain,
    eats(esk4_0,esk3_0),
    inference(spm,[status(thm)],[212,72,theory(equality)]) ).

cnf(225,plain,
    ( eats(X1,esk4_0)
    | eats(X1,X2)
    | ~ bird(esk4_0)
    | ~ plant(esk3_0)
    | ~ plant(X2)
    | ~ fox(X1) ),
    inference(spm,[status(thm)],[154,219,theory(equality)]) ).

cnf(235,plain,
    ( eats(X1,esk4_0)
    | eats(X1,X2)
    | $false
    | ~ plant(esk3_0)
    | ~ plant(X2)
    | ~ fox(X1) ),
    inference(rw,[status(thm)],[225,69,theory(equality)]) ).

cnf(236,plain,
    ( eats(X1,esk4_0)
    | eats(X1,X2)
    | $false
    | $false
    | ~ plant(X2)
    | ~ fox(X1) ),
    inference(rw,[status(thm)],[235,104,theory(equality)]) ).

cnf(237,plain,
    ( eats(X1,esk4_0)
    | eats(X1,X2)
    | ~ plant(X2)
    | ~ fox(X1) ),
    inference(cn,[status(thm)],[236,theory(equality)]) ).

cnf(275,plain,
    ( eats(X1,esk4_0)
    | eats(X1,esk3_0)
    | ~ fox(X1) ),
    inference(spm,[status(thm)],[237,104,theory(equality)]) ).

cnf(278,plain,
    ( eats(esk7_0,esk3_0)
    | eats(esk7_0,esk4_0) ),
    inference(spm,[status(thm)],[275,91,theory(equality)]) ).

cnf(282,negated_conjecture,
    ( eats(esk7_0,esk3_0)
    | ~ eats(esk4_0,X1)
    | ~ grain(X1)
    | ~ animal(esk7_0)
    | ~ animal(esk4_0) ),
    inference(spm,[status(thm)],[98,278,theory(equality)]) ).

cnf(285,negated_conjecture,
    ( eats(esk7_0,esk3_0)
    | ~ eats(esk4_0,X1)
    | ~ grain(X1)
    | $false
    | ~ animal(esk4_0) ),
    inference(rw,[status(thm)],[282,101,theory(equality)]) ).

cnf(286,negated_conjecture,
    ( eats(esk7_0,esk3_0)
    | ~ eats(esk4_0,X1)
    | ~ grain(X1)
    | $false
    | $false ),
    inference(rw,[status(thm)],[285,103,theory(equality)]) ).

cnf(287,negated_conjecture,
    ( eats(esk7_0,esk3_0)
    | ~ eats(esk4_0,X1)
    | ~ grain(X1) ),
    inference(cn,[status(thm)],[286,theory(equality)]) ).

cnf(293,negated_conjecture,
    ( eats(esk7_0,esk3_0)
    | ~ eats(esk4_0,esk3_0) ),
    inference(spm,[status(thm)],[287,63,theory(equality)]) ).

cnf(294,negated_conjecture,
    ( eats(esk7_0,esk3_0)
    | $false ),
    inference(rw,[status(thm)],[293,219,theory(equality)]) ).

cnf(295,negated_conjecture,
    eats(esk7_0,esk3_0),
    inference(cn,[status(thm)],[294,theory(equality)]) ).

cnf(300,negated_conjecture,
    ( eats(X1,X2)
    | ~ plant(esk3_0)
    | ~ plant(X2)
    | ~ fox(esk7_0)
    | ~ wolf(X1) ),
    inference(spm,[status(thm)],[142,295,theory(equality)]) ).

cnf(309,negated_conjecture,
    ( eats(X1,X2)
    | $false
    | ~ plant(X2)
    | ~ fox(esk7_0)
    | ~ wolf(X1) ),
    inference(rw,[status(thm)],[300,104,theory(equality)]) ).

cnf(310,negated_conjecture,
    ( eats(X1,X2)
    | $false
    | ~ plant(X2)
    | $false
    | ~ wolf(X1) ),
    inference(rw,[status(thm)],[309,91,theory(equality)]) ).

cnf(311,negated_conjecture,
    ( eats(X1,X2)
    | ~ plant(X2)
    | ~ wolf(X1) ),
    inference(cn,[status(thm)],[310,theory(equality)]) ).

cnf(314,negated_conjecture,
    ( eats(X1,esk3_0)
    | ~ wolf(X1) ),
    inference(spm,[status(thm)],[311,104,theory(equality)]) ).

cnf(317,negated_conjecture,
    eats(esk6_0,esk3_0),
    inference(spm,[status(thm)],[314,81,theory(equality)]) ).

cnf(318,negated_conjecture,
    ( ~ grain(esk3_0)
    | ~ wolf(esk6_0) ),
    inference(spm,[status(thm)],[31,317,theory(equality)]) ).

cnf(325,negated_conjecture,
    ( $false
    | ~ wolf(esk6_0) ),
    inference(rw,[status(thm)],[318,63,theory(equality)]) ).

cnf(326,negated_conjecture,
    ( $false
    | $false ),
    inference(rw,[status(thm)],[325,81,theory(equality)]) ).

cnf(327,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[326,theory(equality)]) ).

cnf(328,negated_conjecture,
    $false,
    327,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/PUZ/PUZ031+1.p
% --creating new selector for []
% -running prover on /tmp/tmp04pUoF/sel_PUZ031+1.p_1 with time limit 29
% -prover status Theorem
% Problem PUZ031+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/PUZ/PUZ031+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/PUZ/PUZ031+1.p
% Solved 1 out of 1.
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% See solution above
% # SZS output end CNFRefutation
% 
%------------------------------------------------------------------------------