TSTP Solution File: PUZ031+3 by SInE---0.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : PUZ031+3 : TPTP v5.0.0. Released v4.1.0.
% 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 00:52:49 EST 2010

% Result   : Theorem 0.20s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   33
%            Number of leaves      :   20
% Syntax   : Number of formulae    :  132 (  33 unt;   0 def)
%            Number of atoms       :  408 (   0 equ)
%            Maximal formula atoms :    9 (   3 avg)
%            Number of connectives :  502 ( 226   ~; 233   |;  24   &)
%                                         (   0 <=>;  19  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   10 (   9 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-1 aty)
%            Number of variables   :  206 (   1 sgn  83   !;  22   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(1,axiom,
    ! [X1,X2] :
      ( ( wolf(X1)
        & grain(X2) )
     => ~ eats(X1,X2) ),
    file('/tmp/tmpAZGFxv/sel_PUZ031+3.p_1',pel47_11a) ).

fof(3,axiom,
    ? [X3] : fox(X3),
    file('/tmp/tmpAZGFxv/sel_PUZ031+3.p_1',fox_type) ).

fof(4,axiom,
    ! [X3] :
      ( grain(X3)
     => plant(X3) ),
    file('/tmp/tmpAZGFxv/sel_PUZ031+3.p_1',grain_is_plant) ).

fof(6,axiom,
    ! [X1,X2] :
      ( ( wolf(X1)
        & fox(X2) )
     => ~ eats(X1,X2) ),
    file('/tmp/tmpAZGFxv/sel_PUZ031+3.p_1',pel47_11) ).

fof(7,axiom,
    ! [X2,X1] :
      ( ( bird(X2)
        & snail(X1) )
     => much_smaller(X1,X2) ),
    file('/tmp/tmpAZGFxv/sel_PUZ031+3.p_1',pel47_8) ).

fof(8,axiom,
    ! [X1,X2] :
      ( ( bird(X1)
        & fox(X2) )
     => much_smaller(X1,X2) ),
    file('/tmp/tmpAZGFxv/sel_PUZ031+3.p_1',pel47_9) ).

fof(11,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/tmpAZGFxv/sel_PUZ031+3.p_1',pel47_7) ).

fof(12,axiom,
    ? [X3] : wolf(X3),
    file('/tmp/tmpAZGFxv/sel_PUZ031+3.p_1',wolf_type) ).

fof(13,axiom,
    ! [X1] :
      ( snail(X1)
     => ? [X2] :
          ( plant(X2)
          & eats(X1,X2) ) ),
    file('/tmp/tmpAZGFxv/sel_PUZ031+3.p_1',pel47_14a) ).

fof(14,conjecture,
    ? [X1,X2,X5] :
      ( animal(X1)
      & animal(X2)
      & grain(X5)
      & eats(X2,X5)
      & eats(X1,X2) ),
    file('/tmp/tmpAZGFxv/sel_PUZ031+3.p_1',pel47) ).

fof(16,axiom,
    ! [X3] :
      ( snail(X3)
     => animal(X3) ),
    file('/tmp/tmpAZGFxv/sel_PUZ031+3.p_1',snail_is_animal) ).

fof(17,axiom,
    ! [X3] :
      ( bird(X3)
     => animal(X3) ),
    file('/tmp/tmpAZGFxv/sel_PUZ031+3.p_1',bird_is_animal) ).

fof(18,axiom,
    ? [X3] : plant(X3),
    file('/tmp/tmpAZGFxv/sel_PUZ031+3.p_1',plant_type) ).

fof(19,axiom,
    ! [X3] :
      ( fox(X3)
     => animal(X3) ),
    file('/tmp/tmpAZGFxv/sel_PUZ031+3.p_1',fox_is_animal) ).

fof(20,axiom,
    ! [X3] :
      ( wolf(X3)
     => animal(X3) ),
    file('/tmp/tmpAZGFxv/sel_PUZ031+3.p_1',wolf_is_animal) ).

fof(21,axiom,
    ? [X3] : snail(X3),
    file('/tmp/tmpAZGFxv/sel_PUZ031+3.p_1',snail_type) ).

fof(25,axiom,
    ! [X1,X2] :
      ( ( fox(X1)
        & wolf(X2) )
     => much_smaller(X1,X2) ),
    file('/tmp/tmpAZGFxv/sel_PUZ031+3.p_1',pel47_10) ).

fof(27,axiom,
    ? [X3] : grain(X3),
    file('/tmp/tmpAZGFxv/sel_PUZ031+3.p_1',grain_type) ).

fof(28,axiom,
    ! [X1,X2] :
      ( ( bird(X1)
        & snail(X2) )
     => ~ eats(X1,X2) ),
    file('/tmp/tmpAZGFxv/sel_PUZ031+3.p_1',pel47_13) ).

fof(29,axiom,
    ? [X3] : bird(X3),
    file('/tmp/tmpAZGFxv/sel_PUZ031+3.p_1',bird_type) ).

fof(30,negated_conjecture,
    ~ ? [X1,X2,X5] :
        ( animal(X1)
        & animal(X2)
        & grain(X5)
        & eats(X2,X5)
        & eats(X1,X2) ),
    inference(assume_negation,[status(cth)],[14]) ).

fof(31,plain,
    ! [X1,X2] :
      ( ( wolf(X1)
        & grain(X2) )
     => ~ eats(X1,X2) ),
    inference(fof_simplification,[status(thm)],[1,theory(equality)]) ).

fof(32,plain,
    ! [X1,X2] :
      ( ( wolf(X1)
        & fox(X2) )
     => ~ eats(X1,X2) ),
    inference(fof_simplification,[status(thm)],[6,theory(equality)]) ).

fof(33,plain,
    ! [X1,X2] :
      ( ( bird(X1)
        & snail(X2) )
     => ~ eats(X1,X2) ),
    inference(fof_simplification,[status(thm)],[28,theory(equality)]) ).

fof(34,plain,
    ! [X1,X2] :
      ( ~ wolf(X1)
      | ~ grain(X2)
      | ~ eats(X1,X2) ),
    inference(fof_nnf,[status(thm)],[31]) ).

fof(35,plain,
    ! [X3,X4] :
      ( ~ wolf(X3)
      | ~ grain(X4)
      | ~ eats(X3,X4) ),
    inference(variable_rename,[status(thm)],[34]) ).

cnf(36,plain,
    ( ~ eats(X1,X2)
    | ~ grain(X2)
    | ~ wolf(X1) ),
    inference(split_conjunct,[status(thm)],[35]) ).

fof(40,plain,
    ? [X4] : fox(X4),
    inference(variable_rename,[status(thm)],[3]) ).

fof(41,plain,
    fox(esk1_0),
    inference(skolemize,[status(esa)],[40]) ).

cnf(42,plain,
    fox(esk1_0),
    inference(split_conjunct,[status(thm)],[41]) ).

fof(43,plain,
    ! [X3] :
      ( ~ grain(X3)
      | plant(X3) ),
    inference(fof_nnf,[status(thm)],[4]) ).

fof(44,plain,
    ! [X4] :
      ( ~ grain(X4)
      | plant(X4) ),
    inference(variable_rename,[status(thm)],[43]) ).

cnf(45,plain,
    ( plant(X1)
    | ~ grain(X1) ),
    inference(split_conjunct,[status(thm)],[44]) ).

fof(49,plain,
    ! [X1,X2] :
      ( ~ wolf(X1)
      | ~ fox(X2)
      | ~ eats(X1,X2) ),
    inference(fof_nnf,[status(thm)],[32]) ).

fof(50,plain,
    ! [X3,X4] :
      ( ~ wolf(X3)
      | ~ fox(X4)
      | ~ eats(X3,X4) ),
    inference(variable_rename,[status(thm)],[49]) ).

cnf(51,plain,
    ( ~ eats(X1,X2)
    | ~ fox(X2)
    | ~ wolf(X1) ),
    inference(split_conjunct,[status(thm)],[50]) ).

fof(52,plain,
    ! [X2,X1] :
      ( ~ bird(X2)
      | ~ snail(X1)
      | much_smaller(X1,X2) ),
    inference(fof_nnf,[status(thm)],[7]) ).

fof(53,plain,
    ! [X3,X4] :
      ( ~ bird(X3)
      | ~ snail(X4)
      | much_smaller(X4,X3) ),
    inference(variable_rename,[status(thm)],[52]) ).

cnf(54,plain,
    ( much_smaller(X1,X2)
    | ~ snail(X1)
    | ~ bird(X2) ),
    inference(split_conjunct,[status(thm)],[53]) ).

fof(55,plain,
    ! [X1,X2] :
      ( ~ bird(X1)
      | ~ fox(X2)
      | much_smaller(X1,X2) ),
    inference(fof_nnf,[status(thm)],[8]) ).

fof(56,plain,
    ! [X3,X4] :
      ( ~ bird(X3)
      | ~ fox(X4)
      | much_smaller(X3,X4) ),
    inference(variable_rename,[status(thm)],[55]) ).

cnf(57,plain,
    ( much_smaller(X1,X2)
    | ~ fox(X2)
    | ~ bird(X1) ),
    inference(split_conjunct,[status(thm)],[56]) ).

fof(64,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)],[11]) ).

fof(65,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)],[64]) ).

fof(66,plain,
    ! [X6,X7,X8,X9] :
      ( ~ plant(X9)
      | ~ eats(X8,X9)
      | ~ much_smaller(X8,X6)
      | eats(X6,X8)
      | ~ animal(X8)
      | ~ plant(X7)
      | eats(X6,X7)
      | ~ animal(X6) ),
    inference(shift_quantors,[status(thm)],[65]) ).

cnf(67,plain,
    ( eats(X1,X2)
    | eats(X1,X3)
    | ~ animal(X1)
    | ~ plant(X2)
    | ~ animal(X3)
    | ~ much_smaller(X3,X1)
    | ~ eats(X3,X4)
    | ~ plant(X4) ),
    inference(split_conjunct,[status(thm)],[66]) ).

fof(68,plain,
    ? [X4] : wolf(X4),
    inference(variable_rename,[status(thm)],[12]) ).

fof(69,plain,
    wolf(esk2_0),
    inference(skolemize,[status(esa)],[68]) ).

cnf(70,plain,
    wolf(esk2_0),
    inference(split_conjunct,[status(thm)],[69]) ).

fof(71,plain,
    ! [X1] :
      ( ~ snail(X1)
      | ? [X2] :
          ( plant(X2)
          & eats(X1,X2) ) ),
    inference(fof_nnf,[status(thm)],[13]) ).

fof(72,plain,
    ! [X3] :
      ( ~ snail(X3)
      | ? [X4] :
          ( plant(X4)
          & eats(X3,X4) ) ),
    inference(variable_rename,[status(thm)],[71]) ).

fof(73,plain,
    ! [X3] :
      ( ~ snail(X3)
      | ( plant(esk3_1(X3))
        & eats(X3,esk3_1(X3)) ) ),
    inference(skolemize,[status(esa)],[72]) ).

fof(74,plain,
    ! [X3] :
      ( ( plant(esk3_1(X3))
        | ~ snail(X3) )
      & ( eats(X3,esk3_1(X3))
        | ~ snail(X3) ) ),
    inference(distribute,[status(thm)],[73]) ).

cnf(75,plain,
    ( eats(X1,esk3_1(X1))
    | ~ snail(X1) ),
    inference(split_conjunct,[status(thm)],[74]) ).

cnf(76,plain,
    ( plant(esk3_1(X1))
    | ~ snail(X1) ),
    inference(split_conjunct,[status(thm)],[74]) ).

fof(77,negated_conjecture,
    ! [X1,X2,X5] :
      ( ~ animal(X1)
      | ~ animal(X2)
      | ~ grain(X5)
      | ~ eats(X2,X5)
      | ~ eats(X1,X2) ),
    inference(fof_nnf,[status(thm)],[30]) ).

fof(78,negated_conjecture,
    ! [X6,X7,X8] :
      ( ~ animal(X6)
      | ~ animal(X7)
      | ~ grain(X8)
      | ~ eats(X7,X8)
      | ~ eats(X6,X7) ),
    inference(variable_rename,[status(thm)],[77]) ).

cnf(79,negated_conjecture,
    ( ~ eats(X1,X2)
    | ~ eats(X2,X3)
    | ~ grain(X3)
    | ~ animal(X2)
    | ~ animal(X1) ),
    inference(split_conjunct,[status(thm)],[78]) ).

fof(83,plain,
    ! [X3] :
      ( ~ snail(X3)
      | animal(X3) ),
    inference(fof_nnf,[status(thm)],[16]) ).

fof(84,plain,
    ! [X4] :
      ( ~ snail(X4)
      | animal(X4) ),
    inference(variable_rename,[status(thm)],[83]) ).

cnf(85,plain,
    ( animal(X1)
    | ~ snail(X1) ),
    inference(split_conjunct,[status(thm)],[84]) ).

fof(86,plain,
    ! [X3] :
      ( ~ bird(X3)
      | animal(X3) ),
    inference(fof_nnf,[status(thm)],[17]) ).

fof(87,plain,
    ! [X4] :
      ( ~ bird(X4)
      | animal(X4) ),
    inference(variable_rename,[status(thm)],[86]) ).

cnf(88,plain,
    ( animal(X1)
    | ~ bird(X1) ),
    inference(split_conjunct,[status(thm)],[87]) ).

fof(89,plain,
    ? [X4] : plant(X4),
    inference(variable_rename,[status(thm)],[18]) ).

fof(90,plain,
    plant(esk4_0),
    inference(skolemize,[status(esa)],[89]) ).

cnf(91,plain,
    plant(esk4_0),
    inference(split_conjunct,[status(thm)],[90]) ).

fof(92,plain,
    ! [X3] :
      ( ~ fox(X3)
      | animal(X3) ),
    inference(fof_nnf,[status(thm)],[19]) ).

fof(93,plain,
    ! [X4] :
      ( ~ fox(X4)
      | animal(X4) ),
    inference(variable_rename,[status(thm)],[92]) ).

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

fof(95,plain,
    ! [X3] :
      ( ~ wolf(X3)
      | animal(X3) ),
    inference(fof_nnf,[status(thm)],[20]) ).

fof(96,plain,
    ! [X4] :
      ( ~ wolf(X4)
      | animal(X4) ),
    inference(variable_rename,[status(thm)],[95]) ).

cnf(97,plain,
    ( animal(X1)
    | ~ wolf(X1) ),
    inference(split_conjunct,[status(thm)],[96]) ).

fof(98,plain,
    ? [X4] : snail(X4),
    inference(variable_rename,[status(thm)],[21]) ).

fof(99,plain,
    snail(esk5_0),
    inference(skolemize,[status(esa)],[98]) ).

cnf(100,plain,
    snail(esk5_0),
    inference(split_conjunct,[status(thm)],[99]) ).

fof(113,plain,
    ! [X1,X2] :
      ( ~ fox(X1)
      | ~ wolf(X2)
      | much_smaller(X1,X2) ),
    inference(fof_nnf,[status(thm)],[25]) ).

fof(114,plain,
    ! [X3,X4] :
      ( ~ fox(X3)
      | ~ wolf(X4)
      | much_smaller(X3,X4) ),
    inference(variable_rename,[status(thm)],[113]) ).

cnf(115,plain,
    ( much_smaller(X1,X2)
    | ~ wolf(X2)
    | ~ fox(X1) ),
    inference(split_conjunct,[status(thm)],[114]) ).

fof(119,plain,
    ? [X4] : grain(X4),
    inference(variable_rename,[status(thm)],[27]) ).

fof(120,plain,
    grain(esk10_0),
    inference(skolemize,[status(esa)],[119]) ).

cnf(121,plain,
    grain(esk10_0),
    inference(split_conjunct,[status(thm)],[120]) ).

fof(122,plain,
    ! [X1,X2] :
      ( ~ bird(X1)
      | ~ snail(X2)
      | ~ eats(X1,X2) ),
    inference(fof_nnf,[status(thm)],[33]) ).

fof(123,plain,
    ! [X3,X4] :
      ( ~ bird(X3)
      | ~ snail(X4)
      | ~ eats(X3,X4) ),
    inference(variable_rename,[status(thm)],[122]) ).

cnf(124,plain,
    ( ~ eats(X1,X2)
    | ~ snail(X2)
    | ~ bird(X1) ),
    inference(split_conjunct,[status(thm)],[123]) ).

fof(125,plain,
    ? [X4] : bird(X4),
    inference(variable_rename,[status(thm)],[29]) ).

fof(126,plain,
    bird(esk11_0),
    inference(skolemize,[status(esa)],[125]) ).

cnf(127,plain,
    bird(esk11_0),
    inference(split_conjunct,[status(thm)],[126]) ).

cnf(129,plain,
    animal(esk1_0),
    inference(spm,[status(thm)],[94,42,theory(equality)]) ).

cnf(131,plain,
    animal(esk11_0),
    inference(spm,[status(thm)],[88,127,theory(equality)]) ).

cnf(133,plain,
    plant(esk10_0),
    inference(spm,[status(thm)],[45,121,theory(equality)]) ).

cnf(143,plain,
    ( eats(X1,X2)
    | eats(X1,X3)
    | ~ plant(X4)
    | ~ plant(X2)
    | ~ animal(X3)
    | ~ animal(X1)
    | ~ eats(X3,X4)
    | ~ fox(X3)
    | ~ wolf(X1) ),
    inference(spm,[status(thm)],[67,115,theory(equality)]) ).

cnf(144,plain,
    ( eats(X1,X2)
    | eats(X1,X3)
    | ~ plant(X4)
    | ~ plant(X2)
    | ~ animal(X3)
    | ~ animal(X1)
    | ~ eats(X3,X4)
    | ~ bird(X3)
    | ~ fox(X1) ),
    inference(spm,[status(thm)],[67,57,theory(equality)]) ).

cnf(146,plain,
    ( eats(X1,X2)
    | eats(X1,X3)
    | ~ plant(X4)
    | ~ plant(X2)
    | ~ animal(X3)
    | ~ animal(X1)
    | ~ eats(X3,X4)
    | ~ snail(X3)
    | ~ bird(X1) ),
    inference(spm,[status(thm)],[67,54,theory(equality)]) ).

cnf(156,plain,
    ( eats(X1,X2)
    | eats(X1,X3)
    | ~ plant(X4)
    | ~ plant(X2)
    | ~ fox(X3)
    | ~ animal(X3)
    | ~ eats(X3,X4)
    | ~ wolf(X1) ),
    inference(csr,[status(thm)],[143,97]) ).

cnf(157,plain,
    ( eats(X1,X2)
    | eats(X1,X3)
    | ~ plant(X4)
    | ~ plant(X2)
    | ~ fox(X3)
    | ~ eats(X3,X4)
    | ~ wolf(X1) ),
    inference(csr,[status(thm)],[156,94]) ).

cnf(158,plain,
    ( eats(X1,X2)
    | ~ plant(X4)
    | ~ plant(X2)
    | ~ fox(X3)
    | ~ eats(X3,X4)
    | ~ wolf(X1) ),
    inference(csr,[status(thm)],[157,51]) ).

cnf(179,plain,
    ( eats(X1,X2)
    | eats(X1,X3)
    | ~ bird(X3)
    | ~ plant(X4)
    | ~ plant(X2)
    | ~ fox(X1)
    | ~ animal(X3)
    | ~ eats(X3,X4) ),
    inference(csr,[status(thm)],[144,94]) ).

cnf(180,plain,
    ( eats(X1,X2)
    | eats(X1,X3)
    | ~ bird(X3)
    | ~ plant(X4)
    | ~ plant(X2)
    | ~ fox(X1)
    | ~ eats(X3,X4) ),
    inference(csr,[status(thm)],[179,88]) ).

cnf(217,plain,
    ( eats(X1,X2)
    | eats(X1,X3)
    | ~ snail(X3)
    | ~ bird(X1)
    | ~ plant(X4)
    | ~ plant(X2)
    | ~ animal(X3)
    | ~ eats(X3,X4) ),
    inference(csr,[status(thm)],[146,88]) ).

cnf(218,plain,
    ( eats(X1,X2)
    | eats(X1,X3)
    | ~ snail(X3)
    | ~ bird(X1)
    | ~ plant(X4)
    | ~ plant(X2)
    | ~ eats(X3,X4) ),
    inference(csr,[status(thm)],[217,85]) ).

cnf(219,plain,
    ( eats(X1,X2)
    | ~ snail(X3)
    | ~ bird(X1)
    | ~ plant(X4)
    | ~ plant(X2)
    | ~ eats(X3,X4) ),
    inference(csr,[status(thm)],[218,124]) ).

cnf(221,plain,
    ( eats(X1,X2)
    | ~ snail(X3)
    | ~ bird(X1)
    | ~ plant(esk3_1(X3))
    | ~ plant(X2) ),
    inference(spm,[status(thm)],[219,75,theory(equality)]) ).

cnf(366,plain,
    ( eats(X1,X2)
    | ~ snail(X3)
    | ~ bird(X1)
    | ~ plant(X2) ),
    inference(csr,[status(thm)],[221,76]) ).

cnf(367,plain,
    ( eats(X1,X2)
    | ~ bird(X1)
    | ~ plant(X2) ),
    inference(spm,[status(thm)],[366,100,theory(equality)]) ).

cnf(368,plain,
    ( eats(esk11_0,X1)
    | ~ plant(X1) ),
    inference(spm,[status(thm)],[367,127,theory(equality)]) ).

cnf(369,plain,
    eats(esk11_0,esk4_0),
    inference(spm,[status(thm)],[368,91,theory(equality)]) ).

cnf(370,plain,
    eats(esk11_0,esk10_0),
    inference(spm,[status(thm)],[368,133,theory(equality)]) ).

cnf(378,plain,
    ( eats(X1,esk11_0)
    | eats(X1,X2)
    | ~ bird(esk11_0)
    | ~ plant(esk4_0)
    | ~ plant(X2)
    | ~ fox(X1) ),
    inference(spm,[status(thm)],[180,369,theory(equality)]) ).

cnf(386,plain,
    ( eats(X1,esk11_0)
    | eats(X1,X2)
    | $false
    | ~ plant(esk4_0)
    | ~ plant(X2)
    | ~ fox(X1) ),
    inference(rw,[status(thm)],[378,127,theory(equality)]) ).

cnf(387,plain,
    ( eats(X1,esk11_0)
    | eats(X1,X2)
    | $false
    | $false
    | ~ plant(X2)
    | ~ fox(X1) ),
    inference(rw,[status(thm)],[386,91,theory(equality)]) ).

cnf(388,plain,
    ( eats(X1,esk11_0)
    | eats(X1,X2)
    | ~ plant(X2)
    | ~ fox(X1) ),
    inference(cn,[status(thm)],[387,theory(equality)]) ).

cnf(394,negated_conjecture,
    ( ~ animal(esk11_0)
    | ~ animal(X1)
    | ~ eats(X1,esk11_0)
    | ~ grain(esk10_0) ),
    inference(spm,[status(thm)],[79,370,theory(equality)]) ).

cnf(402,negated_conjecture,
    ( $false
    | ~ animal(X1)
    | ~ eats(X1,esk11_0)
    | ~ grain(esk10_0) ),
    inference(rw,[status(thm)],[394,131,theory(equality)]) ).

cnf(403,negated_conjecture,
    ( $false
    | ~ animal(X1)
    | ~ eats(X1,esk11_0)
    | $false ),
    inference(rw,[status(thm)],[402,121,theory(equality)]) ).

cnf(404,negated_conjecture,
    ( ~ animal(X1)
    | ~ eats(X1,esk11_0) ),
    inference(cn,[status(thm)],[403,theory(equality)]) ).

cnf(484,plain,
    ( eats(X1,esk11_0)
    | eats(X1,esk4_0)
    | ~ fox(X1) ),
    inference(spm,[status(thm)],[388,91,theory(equality)]) ).

cnf(488,plain,
    ( eats(esk1_0,esk4_0)
    | eats(esk1_0,esk11_0) ),
    inference(spm,[status(thm)],[484,42,theory(equality)]) ).

cnf(496,negated_conjecture,
    ( eats(esk1_0,esk4_0)
    | ~ animal(esk1_0) ),
    inference(spm,[status(thm)],[404,488,theory(equality)]) ).

cnf(504,negated_conjecture,
    ( eats(esk1_0,esk4_0)
    | $false ),
    inference(rw,[status(thm)],[496,129,theory(equality)]) ).

cnf(505,negated_conjecture,
    eats(esk1_0,esk4_0),
    inference(cn,[status(thm)],[504,theory(equality)]) ).

cnf(512,negated_conjecture,
    ( eats(X1,X2)
    | ~ plant(esk4_0)
    | ~ plant(X2)
    | ~ fox(esk1_0)
    | ~ wolf(X1) ),
    inference(spm,[status(thm)],[158,505,theory(equality)]) ).

cnf(520,negated_conjecture,
    ( eats(X1,X2)
    | $false
    | ~ plant(X2)
    | ~ fox(esk1_0)
    | ~ wolf(X1) ),
    inference(rw,[status(thm)],[512,91,theory(equality)]) ).

cnf(521,negated_conjecture,
    ( eats(X1,X2)
    | $false
    | ~ plant(X2)
    | $false
    | ~ wolf(X1) ),
    inference(rw,[status(thm)],[520,42,theory(equality)]) ).

cnf(522,negated_conjecture,
    ( eats(X1,X2)
    | ~ plant(X2)
    | ~ wolf(X1) ),
    inference(cn,[status(thm)],[521,theory(equality)]) ).

cnf(574,negated_conjecture,
    ( eats(X1,esk10_0)
    | ~ wolf(X1) ),
    inference(spm,[status(thm)],[522,133,theory(equality)]) ).

cnf(603,negated_conjecture,
    eats(esk2_0,esk10_0),
    inference(spm,[status(thm)],[574,70,theory(equality)]) ).

cnf(604,negated_conjecture,
    ( ~ grain(esk10_0)
    | ~ wolf(esk2_0) ),
    inference(spm,[status(thm)],[36,603,theory(equality)]) ).

cnf(613,negated_conjecture,
    ( $false
    | ~ wolf(esk2_0) ),
    inference(rw,[status(thm)],[604,121,theory(equality)]) ).

cnf(614,negated_conjecture,
    ( $false
    | $false ),
    inference(rw,[status(thm)],[613,70,theory(equality)]) ).

cnf(615,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[614,theory(equality)]) ).

cnf(616,negated_conjecture,
    $false,
    615,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/PUZ/PUZ031+3.p
% --creating new selector for []
% -running prover on /tmp/tmpAZGFxv/sel_PUZ031+3.p_1 with time limit 29
% -prover status Theorem
% Problem PUZ031+3.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/PUZ/PUZ031+3.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/PUZ/PUZ031+3.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
% 
%------------------------------------------------------------------------------