TSTP Solution File: KLE025+2 by SInE---0.4

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%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : KLE025+2 : TPTP v5.0.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : art02.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 : Sat Dec 25 11:49:55 EST 2010

% Result   : Theorem 225.47s
% Output   : CNFRefutation 225.47s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   25
%            Number of leaves      :   12
% Syntax   : Number of formulae    :  110 (  40 unt;   0 def)
%            Number of atoms       :  259 ( 139 equ)
%            Maximal formula atoms :   10 (   2 avg)
%            Number of connectives :  254 ( 105   ~; 110   |;  30   &)
%                                         (   3 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   3 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   5 con; 0-2 aty)
%            Number of variables   :  136 (   3 sgn  61   !;   9   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(3,axiom,
    ! [X1] : addition(X1,zero) = X1,
    file('/tmp/tmpNtUoFZ/sel_KLE025+2.p_4',additive_identity) ).

fof(6,axiom,
    ! [X1,X2] : addition(X1,X2) = addition(X2,X1),
    file('/tmp/tmpNtUoFZ/sel_KLE025+2.p_4',additive_commutativity) ).

fof(7,axiom,
    ! [X1] : addition(X1,X1) = X1,
    file('/tmp/tmpNtUoFZ/sel_KLE025+2.p_4',additive_idempotence) ).

fof(8,axiom,
    ! [X1,X2,X3] : multiplication(X1,multiplication(X2,X3)) = multiplication(multiplication(X1,X2),X3),
    file('/tmp/tmpNtUoFZ/sel_KLE025+2.p_4',multiplicative_associativity) ).

fof(9,axiom,
    ! [X1] : multiplication(zero,X1) = zero,
    file('/tmp/tmpNtUoFZ/sel_KLE025+2.p_4',left_annihilation) ).

fof(11,axiom,
    ! [X4,X5] :
      ( test(X4)
     => ( c(X4) = X5
      <=> complement(X4,X5) ) ),
    file('/tmp/tmpNtUoFZ/sel_KLE025+2.p_4',test_3) ).

fof(12,axiom,
    ! [X4,X5] :
      ( complement(X5,X4)
    <=> ( multiplication(X4,X5) = zero
        & multiplication(X5,X4) = zero
        & addition(X4,X5) = one ) ),
    file('/tmp/tmpNtUoFZ/sel_KLE025+2.p_4',test_2) ).

fof(13,axiom,
    ! [X4] :
      ( test(X4)
    <=> ? [X5] : complement(X5,X4) ),
    file('/tmp/tmpNtUoFZ/sel_KLE025+2.p_4',test_1) ).

fof(14,axiom,
    ! [X1] : multiplication(X1,one) = X1,
    file('/tmp/tmpNtUoFZ/sel_KLE025+2.p_4',multiplicative_right_identity) ).

fof(16,axiom,
    ! [X4,X5] :
      ( ( test(X4)
        & test(X5) )
     => c(multiplication(X4,X5)) = addition(c(X4),c(X5)) ),
    file('/tmp/tmpNtUoFZ/sel_KLE025+2.p_4',test_deMorgan2) ).

fof(17,axiom,
    ! [X1,X2,X3] : multiplication(X1,addition(X2,X3)) = addition(multiplication(X1,X2),multiplication(X1,X3)),
    file('/tmp/tmpNtUoFZ/sel_KLE025+2.p_4',right_distributivity) ).

fof(18,conjecture,
    ! [X4,X5,X6] :
      ( ( test(X5)
        & test(X6) )
     => ( multiplication(multiplication(X5,X4),c(X6)) = zero
       => multiplication(X5,X4) = multiplication(multiplication(X5,X4),X6) ) ),
    file('/tmp/tmpNtUoFZ/sel_KLE025+2.p_4',goals) ).

fof(19,negated_conjecture,
    ~ ! [X4,X5,X6] :
        ( ( test(X5)
          & test(X6) )
       => ( multiplication(multiplication(X5,X4),c(X6)) = zero
         => multiplication(X5,X4) = multiplication(multiplication(X5,X4),X6) ) ),
    inference(assume_negation,[status(cth)],[18]) ).

fof(25,plain,
    ! [X2] : addition(X2,zero) = X2,
    inference(variable_rename,[status(thm)],[3]) ).

cnf(26,plain,
    addition(X1,zero) = X1,
    inference(split_conjunct,[status(thm)],[25]) ).

fof(31,plain,
    ! [X3,X4] : addition(X3,X4) = addition(X4,X3),
    inference(variable_rename,[status(thm)],[6]) ).

cnf(32,plain,
    addition(X1,X2) = addition(X2,X1),
    inference(split_conjunct,[status(thm)],[31]) ).

fof(33,plain,
    ! [X2] : addition(X2,X2) = X2,
    inference(variable_rename,[status(thm)],[7]) ).

cnf(34,plain,
    addition(X1,X1) = X1,
    inference(split_conjunct,[status(thm)],[33]) ).

fof(35,plain,
    ! [X4,X5,X6] : multiplication(X4,multiplication(X5,X6)) = multiplication(multiplication(X4,X5),X6),
    inference(variable_rename,[status(thm)],[8]) ).

cnf(36,plain,
    multiplication(X1,multiplication(X2,X3)) = multiplication(multiplication(X1,X2),X3),
    inference(split_conjunct,[status(thm)],[35]) ).

fof(37,plain,
    ! [X2] : multiplication(zero,X2) = zero,
    inference(variable_rename,[status(thm)],[9]) ).

cnf(38,plain,
    multiplication(zero,X1) = zero,
    inference(split_conjunct,[status(thm)],[37]) ).

fof(42,plain,
    ! [X4,X5] :
      ( ~ test(X4)
      | ( ( c(X4) != X5
          | complement(X4,X5) )
        & ( ~ complement(X4,X5)
          | c(X4) = X5 ) ) ),
    inference(fof_nnf,[status(thm)],[11]) ).

fof(43,plain,
    ! [X6,X7] :
      ( ~ test(X6)
      | ( ( c(X6) != X7
          | complement(X6,X7) )
        & ( ~ complement(X6,X7)
          | c(X6) = X7 ) ) ),
    inference(variable_rename,[status(thm)],[42]) ).

fof(44,plain,
    ! [X6,X7] :
      ( ( c(X6) != X7
        | complement(X6,X7)
        | ~ test(X6) )
      & ( ~ complement(X6,X7)
        | c(X6) = X7
        | ~ test(X6) ) ),
    inference(distribute,[status(thm)],[43]) ).

cnf(45,plain,
    ( c(X1) = X2
    | ~ test(X1)
    | ~ complement(X1,X2) ),
    inference(split_conjunct,[status(thm)],[44]) ).

cnf(46,plain,
    ( complement(X1,X2)
    | ~ test(X1)
    | c(X1) != X2 ),
    inference(split_conjunct,[status(thm)],[44]) ).

fof(47,plain,
    ! [X4,X5] :
      ( ( ~ complement(X5,X4)
        | ( multiplication(X4,X5) = zero
          & multiplication(X5,X4) = zero
          & addition(X4,X5) = one ) )
      & ( multiplication(X4,X5) != zero
        | multiplication(X5,X4) != zero
        | addition(X4,X5) != one
        | complement(X5,X4) ) ),
    inference(fof_nnf,[status(thm)],[12]) ).

fof(48,plain,
    ! [X6,X7] :
      ( ( ~ complement(X7,X6)
        | ( multiplication(X6,X7) = zero
          & multiplication(X7,X6) = zero
          & addition(X6,X7) = one ) )
      & ( multiplication(X6,X7) != zero
        | multiplication(X7,X6) != zero
        | addition(X6,X7) != one
        | complement(X7,X6) ) ),
    inference(variable_rename,[status(thm)],[47]) ).

fof(49,plain,
    ! [X6,X7] :
      ( ( multiplication(X6,X7) = zero
        | ~ complement(X7,X6) )
      & ( multiplication(X7,X6) = zero
        | ~ complement(X7,X6) )
      & ( addition(X6,X7) = one
        | ~ complement(X7,X6) )
      & ( multiplication(X6,X7) != zero
        | multiplication(X7,X6) != zero
        | addition(X6,X7) != one
        | complement(X7,X6) ) ),
    inference(distribute,[status(thm)],[48]) ).

cnf(50,plain,
    ( complement(X1,X2)
    | addition(X2,X1) != one
    | multiplication(X1,X2) != zero
    | multiplication(X2,X1) != zero ),
    inference(split_conjunct,[status(thm)],[49]) ).

cnf(51,plain,
    ( addition(X2,X1) = one
    | ~ complement(X1,X2) ),
    inference(split_conjunct,[status(thm)],[49]) ).

cnf(52,plain,
    ( multiplication(X1,X2) = zero
    | ~ complement(X1,X2) ),
    inference(split_conjunct,[status(thm)],[49]) ).

cnf(53,plain,
    ( multiplication(X2,X1) = zero
    | ~ complement(X1,X2) ),
    inference(split_conjunct,[status(thm)],[49]) ).

fof(54,plain,
    ! [X4] :
      ( ( ~ test(X4)
        | ? [X5] : complement(X5,X4) )
      & ( ! [X5] : ~ complement(X5,X4)
        | test(X4) ) ),
    inference(fof_nnf,[status(thm)],[13]) ).

fof(55,plain,
    ! [X6] :
      ( ( ~ test(X6)
        | ? [X7] : complement(X7,X6) )
      & ( ! [X8] : ~ complement(X8,X6)
        | test(X6) ) ),
    inference(variable_rename,[status(thm)],[54]) ).

fof(56,plain,
    ! [X6] :
      ( ( ~ test(X6)
        | complement(esk1_1(X6),X6) )
      & ( ! [X8] : ~ complement(X8,X6)
        | test(X6) ) ),
    inference(skolemize,[status(esa)],[55]) ).

fof(57,plain,
    ! [X6,X8] :
      ( ( ~ complement(X8,X6)
        | test(X6) )
      & ( ~ test(X6)
        | complement(esk1_1(X6),X6) ) ),
    inference(shift_quantors,[status(thm)],[56]) ).

cnf(58,plain,
    ( complement(esk1_1(X1),X1)
    | ~ test(X1) ),
    inference(split_conjunct,[status(thm)],[57]) ).

cnf(59,plain,
    ( test(X1)
    | ~ complement(X2,X1) ),
    inference(split_conjunct,[status(thm)],[57]) ).

fof(60,plain,
    ! [X2] : multiplication(X2,one) = X2,
    inference(variable_rename,[status(thm)],[14]) ).

cnf(61,plain,
    multiplication(X1,one) = X1,
    inference(split_conjunct,[status(thm)],[60]) ).

fof(65,plain,
    ! [X4,X5] :
      ( ~ test(X4)
      | ~ test(X5)
      | c(multiplication(X4,X5)) = addition(c(X4),c(X5)) ),
    inference(fof_nnf,[status(thm)],[16]) ).

fof(66,plain,
    ! [X6,X7] :
      ( ~ test(X6)
      | ~ test(X7)
      | c(multiplication(X6,X7)) = addition(c(X6),c(X7)) ),
    inference(variable_rename,[status(thm)],[65]) ).

cnf(67,plain,
    ( c(multiplication(X1,X2)) = addition(c(X1),c(X2))
    | ~ test(X2)
    | ~ test(X1) ),
    inference(split_conjunct,[status(thm)],[66]) ).

fof(68,plain,
    ! [X4,X5,X6] : multiplication(X4,addition(X5,X6)) = addition(multiplication(X4,X5),multiplication(X4,X6)),
    inference(variable_rename,[status(thm)],[17]) ).

cnf(69,plain,
    multiplication(X1,addition(X2,X3)) = addition(multiplication(X1,X2),multiplication(X1,X3)),
    inference(split_conjunct,[status(thm)],[68]) ).

fof(70,negated_conjecture,
    ? [X4,X5,X6] :
      ( test(X5)
      & test(X6)
      & multiplication(multiplication(X5,X4),c(X6)) = zero
      & multiplication(X5,X4) != multiplication(multiplication(X5,X4),X6) ),
    inference(fof_nnf,[status(thm)],[19]) ).

fof(71,negated_conjecture,
    ? [X7,X8,X9] :
      ( test(X8)
      & test(X9)
      & multiplication(multiplication(X8,X7),c(X9)) = zero
      & multiplication(X8,X7) != multiplication(multiplication(X8,X7),X9) ),
    inference(variable_rename,[status(thm)],[70]) ).

fof(72,negated_conjecture,
    ( test(esk3_0)
    & test(esk4_0)
    & multiplication(multiplication(esk3_0,esk2_0),c(esk4_0)) = zero
    & multiplication(esk3_0,esk2_0) != multiplication(multiplication(esk3_0,esk2_0),esk4_0) ),
    inference(skolemize,[status(esa)],[71]) ).

cnf(73,negated_conjecture,
    multiplication(esk3_0,esk2_0) != multiplication(multiplication(esk3_0,esk2_0),esk4_0),
    inference(split_conjunct,[status(thm)],[72]) ).

cnf(74,negated_conjecture,
    multiplication(multiplication(esk3_0,esk2_0),c(esk4_0)) = zero,
    inference(split_conjunct,[status(thm)],[72]) ).

cnf(75,negated_conjecture,
    test(esk4_0),
    inference(split_conjunct,[status(thm)],[72]) ).

cnf(81,plain,
    addition(zero,X1) = X1,
    inference(spm,[status(thm)],[26,32,theory(equality)]) ).

cnf(87,plain,
    ( multiplication(X1,esk1_1(X1)) = zero
    | ~ test(X1) ),
    inference(spm,[status(thm)],[53,58,theory(equality)]) ).

cnf(90,plain,
    ( multiplication(X1,X2) = zero
    | c(X2) != X1
    | ~ test(X2) ),
    inference(spm,[status(thm)],[53,46,theory(equality)]) ).

cnf(91,plain,
    ( multiplication(X1,X2) = zero
    | c(X1) != X2
    | ~ test(X1) ),
    inference(spm,[status(thm)],[52,46,theory(equality)]) ).

cnf(92,plain,
    ( addition(X1,esk1_1(X1)) = one
    | ~ test(X1) ),
    inference(spm,[status(thm)],[51,58,theory(equality)]) ).

cnf(93,plain,
    ( addition(X1,X2) = one
    | c(X2) != X1
    | ~ test(X2) ),
    inference(spm,[status(thm)],[51,46,theory(equality)]) ).

cnf(103,negated_conjecture,
    multiplication(esk3_0,multiplication(esk2_0,c(esk4_0))) = zero,
    inference(rw,[status(thm)],[74,36,theory(equality)]) ).

cnf(104,negated_conjecture,
    multiplication(esk3_0,multiplication(esk2_0,esk4_0)) != multiplication(esk3_0,esk2_0),
    inference(rw,[status(thm)],[73,36,theory(equality)]) ).

cnf(120,plain,
    ( c(multiplication(X1,X1)) = c(X1)
    | ~ test(X1) ),
    inference(spm,[status(thm)],[34,67,theory(equality)]) ).

cnf(208,plain,
    ( test(X1)
    | multiplication(X1,X2) != zero
    | multiplication(X2,X1) != zero
    | addition(X1,X2) != one ),
    inference(spm,[status(thm)],[59,50,theory(equality)]) ).

cnf(212,plain,
    ( c(X1) = X2
    | ~ test(X1)
    | multiplication(X2,X1) != zero
    | multiplication(X1,X2) != zero
    | addition(X2,X1) != one ),
    inference(spm,[status(thm)],[45,50,theory(equality)]) ).

cnf(214,negated_conjecture,
    addition(zero,multiplication(esk3_0,X1)) = multiplication(esk3_0,addition(multiplication(esk2_0,c(esk4_0)),X1)),
    inference(spm,[status(thm)],[69,103,theory(equality)]) ).

cnf(258,plain,
    ( addition(multiplication(X1,X2),zero) = multiplication(X1,addition(X2,esk1_1(X1)))
    | ~ test(X1) ),
    inference(spm,[status(thm)],[69,87,theory(equality)]) ).

cnf(263,plain,
    ( multiplication(X1,X2) = multiplication(X1,addition(X2,esk1_1(X1)))
    | ~ test(X1) ),
    inference(rw,[status(thm)],[258,26,theory(equality)]) ).

cnf(305,plain,
    ( multiplication(c(X1),X1) = zero
    | ~ test(X1) ),
    inference(er,[status(thm)],[90,theory(equality)]) ).

cnf(311,plain,
    ( multiplication(zero,X2) = multiplication(c(X1),multiplication(X1,X2))
    | ~ test(X1) ),
    inference(spm,[status(thm)],[36,305,theory(equality)]) ).

cnf(320,plain,
    ( zero = multiplication(c(X1),multiplication(X1,X2))
    | ~ test(X1) ),
    inference(rw,[status(thm)],[311,38,theory(equality)]) ).

cnf(352,plain,
    ( multiplication(X1,c(X1)) = zero
    | ~ test(X1) ),
    inference(er,[status(thm)],[91,theory(equality)]) ).

cnf(369,plain,
    ( zero = multiplication(X1,multiplication(X2,c(multiplication(X1,X2))))
    | ~ test(multiplication(X1,X2)) ),
    inference(spm,[status(thm)],[36,352,theory(equality)]) ).

cnf(521,plain,
    ( addition(c(X1),X1) = one
    | ~ test(X1) ),
    inference(er,[status(thm)],[93,theory(equality)]) ).

cnf(526,plain,
    ( addition(X1,c(X1)) = one
    | ~ test(X1) ),
    inference(rw,[status(thm)],[521,32,theory(equality)]) ).

cnf(534,plain,
    ( addition(multiplication(X1,X1),c(X1)) = one
    | ~ test(multiplication(X1,X1))
    | ~ test(X1) ),
    inference(spm,[status(thm)],[526,120,theory(equality)]) ).

cnf(4139,plain,
    ( test(X1)
    | multiplication(X1,X2) != zero
    | multiplication(X2,X1) != zero
    | addition(X2,X1) != one ),
    inference(spm,[status(thm)],[208,32,theory(equality)]) ).

cnf(4991,negated_conjecture,
    multiplication(esk3_0,addition(multiplication(esk2_0,c(esk4_0)),X1)) = multiplication(esk3_0,X1),
    inference(rw,[status(thm)],[214,81,theory(equality)]) ).

cnf(4996,negated_conjecture,
    multiplication(esk3_0,multiplication(esk2_0,addition(c(esk4_0),X1))) = multiplication(esk3_0,multiplication(esk2_0,X1)),
    inference(spm,[status(thm)],[4991,69,theory(equality)]) ).

cnf(7754,plain,
    ( multiplication(X1,one) = multiplication(X1,X1)
    | ~ test(X1) ),
    inference(spm,[status(thm)],[263,92,theory(equality)]) ).

cnf(7806,plain,
    ( X1 = multiplication(X1,X1)
    | ~ test(X1) ),
    inference(rw,[status(thm)],[7754,61,theory(equality)]) ).

cnf(7814,negated_conjecture,
    multiplication(esk4_0,esk4_0) = esk4_0,
    inference(spm,[status(thm)],[7806,75,theory(equality)]) ).

cnf(7883,negated_conjecture,
    multiplication(esk4_0,X1) = multiplication(esk4_0,multiplication(esk4_0,X1)),
    inference(spm,[status(thm)],[36,7814,theory(equality)]) ).

cnf(7899,negated_conjecture,
    ( multiplication(c(esk4_0),esk4_0) = zero
    | ~ test(esk4_0) ),
    inference(spm,[status(thm)],[320,7814,theory(equality)]) ).

cnf(7921,negated_conjecture,
    ( multiplication(c(esk4_0),esk4_0) = zero
    | $false ),
    inference(rw,[status(thm)],[7899,75,theory(equality)]) ).

cnf(7922,negated_conjecture,
    multiplication(c(esk4_0),esk4_0) = zero,
    inference(cn,[status(thm)],[7921,theory(equality)]) ).

cnf(12358,negated_conjecture,
    ( multiplication(esk4_0,multiplication(esk4_0,c(esk4_0))) = zero
    | ~ test(esk4_0) ),
    inference(spm,[status(thm)],[369,7814,theory(equality)]) ).

cnf(12505,negated_conjecture,
    ( multiplication(esk4_0,c(esk4_0)) = zero
    | ~ test(esk4_0) ),
    inference(rw,[status(thm)],[12358,7883,theory(equality)]) ).

cnf(12506,negated_conjecture,
    ( multiplication(esk4_0,c(esk4_0)) = zero
    | $false ),
    inference(rw,[status(thm)],[12505,75,theory(equality)]) ).

cnf(12507,negated_conjecture,
    multiplication(esk4_0,c(esk4_0)) = zero,
    inference(cn,[status(thm)],[12506,theory(equality)]) ).

cnf(21718,negated_conjecture,
    ( addition(esk4_0,c(esk4_0)) = one
    | ~ test(esk4_0) ),
    inference(spm,[status(thm)],[534,7814,theory(equality)]) ).

cnf(21808,negated_conjecture,
    ( addition(esk4_0,c(esk4_0)) = one
    | $false ),
    inference(rw,[status(thm)],[21718,75,theory(equality)]) ).

cnf(21809,negated_conjecture,
    addition(esk4_0,c(esk4_0)) = one,
    inference(cn,[status(thm)],[21808,theory(equality)]) ).

cnf(22553,negated_conjecture,
    ( c(c(esk4_0)) = esk4_0
    | multiplication(esk4_0,c(esk4_0)) != zero
    | multiplication(c(esk4_0),esk4_0) != zero
    | ~ test(c(esk4_0)) ),
    inference(spm,[status(thm)],[212,21809,theory(equality)]) ).

cnf(22602,negated_conjecture,
    ( c(c(esk4_0)) = esk4_0
    | $false
    | multiplication(c(esk4_0),esk4_0) != zero
    | ~ test(c(esk4_0)) ),
    inference(rw,[status(thm)],[22553,12507,theory(equality)]) ).

cnf(22603,negated_conjecture,
    ( c(c(esk4_0)) = esk4_0
    | $false
    | $false
    | ~ test(c(esk4_0)) ),
    inference(rw,[status(thm)],[22602,7922,theory(equality)]) ).

cnf(22604,negated_conjecture,
    ( c(c(esk4_0)) = esk4_0
    | ~ test(c(esk4_0)) ),
    inference(cn,[status(thm)],[22603,theory(equality)]) ).

cnf(746777,negated_conjecture,
    ( test(c(esk4_0))
    | multiplication(c(esk4_0),esk4_0) != zero
    | multiplication(esk4_0,c(esk4_0)) != zero ),
    inference(spm,[status(thm)],[4139,21809,theory(equality)]) ).

cnf(747198,negated_conjecture,
    ( test(c(esk4_0))
    | $false
    | multiplication(esk4_0,c(esk4_0)) != zero ),
    inference(rw,[status(thm)],[746777,7922,theory(equality)]) ).

cnf(747199,negated_conjecture,
    ( test(c(esk4_0))
    | $false
    | $false ),
    inference(rw,[status(thm)],[747198,12507,theory(equality)]) ).

cnf(747200,negated_conjecture,
    test(c(esk4_0)),
    inference(cn,[status(thm)],[747199,theory(equality)]) ).

cnf(747619,negated_conjecture,
    ( c(c(esk4_0)) = esk4_0
    | $false ),
    inference(rw,[status(thm)],[22604,747200,theory(equality)]) ).

cnf(747620,negated_conjecture,
    c(c(esk4_0)) = esk4_0,
    inference(cn,[status(thm)],[747619,theory(equality)]) ).

cnf(831526,negated_conjecture,
    ( multiplication(esk3_0,multiplication(esk2_0,one)) = multiplication(esk3_0,multiplication(esk2_0,c(c(esk4_0))))
    | ~ test(c(esk4_0)) ),
    inference(spm,[status(thm)],[4996,526,theory(equality)]) ).

cnf(831864,negated_conjecture,
    ( multiplication(esk3_0,esk2_0) = multiplication(esk3_0,multiplication(esk2_0,c(c(esk4_0))))
    | ~ test(c(esk4_0)) ),
    inference(rw,[status(thm)],[831526,61,theory(equality)]) ).

cnf(831865,negated_conjecture,
    ( multiplication(esk3_0,esk2_0) = multiplication(esk3_0,multiplication(esk2_0,esk4_0))
    | ~ test(c(esk4_0)) ),
    inference(rw,[status(thm)],[831864,747620,theory(equality)]) ).

cnf(831866,negated_conjecture,
    ( multiplication(esk3_0,esk2_0) = multiplication(esk3_0,multiplication(esk2_0,esk4_0))
    | $false ),
    inference(rw,[status(thm)],[831865,747200,theory(equality)]) ).

cnf(831867,negated_conjecture,
    multiplication(esk3_0,esk2_0) = multiplication(esk3_0,multiplication(esk2_0,esk4_0)),
    inference(cn,[status(thm)],[831866,theory(equality)]) ).

cnf(831868,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[831867,104,theory(equality)]) ).

cnf(831869,negated_conjecture,
    $false,
    831868,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/KLE/KLE025+2.p
% --creating new selector for [KLE001+0.ax, KLE001+1.ax, KLE001+2.ax]
% eprover: CPU time limit exceeded, terminating
% eprover: CPU time limit exceeded, terminating
% -running prover on /tmp/tmpNtUoFZ/sel_KLE025+2.p_1 with time limit 29
% -prover status ResourceOut
% -running prover on /tmp/tmpNtUoFZ/sel_KLE025+2.p_2 with time limit 81
% -prover status ResourceOut
% --creating new selector for [KLE001+0.ax, KLE001+1.ax, KLE001+2.ax]
% eprover: CPU time limit exceeded, terminating
% -running prover on /tmp/tmpNtUoFZ/sel_KLE025+2.p_3 with time limit 75
% -prover status ResourceOut
% --creating new selector for [KLE001+0.ax, KLE001+1.ax, KLE001+2.ax]
% -running prover on /tmp/tmpNtUoFZ/sel_KLE025+2.p_4 with time limit 55
% -prover status Theorem
% Problem KLE025+2.p solved in phase 3.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/KLE/KLE025+2.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/KLE/KLE025+2.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
% 
%------------------------------------------------------------------------------