%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : KLE133+1 : TPTP v5.0.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : art04.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 12:32:43 EST 2010

% Result   : Theorem 196.45s
% Output   : CNFRefutation 196.45s
% Verified : 
% SZS Type : None (Could not find formula named theoheory(equality))
% Syntax   : Number of formulae    : 98

% Comments : 
%------------------------------------------------------------------------------
fof(1,axiom,
    ! [X1,X2,X3] : multiplication(addition(X1,X2),X3) = addition(multiplication(X1,X3),multiplication(X2,X3)),
    file('/tmp/tmpn3c0wM/sel_KLE133+1.p_4',left_distributivity) ).

fof(5,axiom,
    ! [X1] : multiplication(X1,zero) = zero,
    file('/tmp/tmpn3c0wM/sel_KLE133+1.p_4',right_annihilation) ).

fof(6,axiom,
    ! [X1] : multiplication(X1,one) = X1,
    file('/tmp/tmpn3c0wM/sel_KLE133+1.p_4',multiplicative_right_identity) ).

fof(7,axiom,
    ! [X4,X5] : domain_difference(X4,X5) = multiplication(domain(X4),antidomain(X5)),
    file('/tmp/tmpn3c0wM/sel_KLE133+1.p_4',domain_difference) ).

fof(8,axiom,
    ! [X1] : multiplication(one,X1) = X1,
    file('/tmp/tmpn3c0wM/sel_KLE133+1.p_4',multiplicative_left_identity) ).

fof(9,axiom,
    ! [X4] : addition(antidomain(antidomain(X4)),antidomain(X4)) = one,
    file('/tmp/tmpn3c0wM/sel_KLE133+1.p_4',domain3) ).

fof(11,axiom,
    ! [X4] : multiplication(antidomain(X4),X4) = zero,
    file('/tmp/tmpn3c0wM/sel_KLE133+1.p_4',domain1) ).

fof(12,axiom,
    ! [X4] : domain(X4) = antidomain(antidomain(X4)),
    file('/tmp/tmpn3c0wM/sel_KLE133+1.p_4',domain4) ).

fof(13,axiom,
    ! [X1] : multiplication(zero,X1) = zero,
    file('/tmp/tmpn3c0wM/sel_KLE133+1.p_4',left_annihilation) ).

fof(14,axiom,
    ! [X1] : addition(X1,zero) = X1,
    file('/tmp/tmpn3c0wM/sel_KLE133+1.p_4',additive_identity) ).

fof(17,axiom,
    ! [X4,X5] : forward_diamond(X4,X5) = domain(multiplication(X4,domain(X5))),
    file('/tmp/tmpn3c0wM/sel_KLE133+1.p_4',forward_diamond) ).

fof(18,axiom,
    ! [X1,X2] : addition(X1,X2) = addition(X2,X1),
    file('/tmp/tmpn3c0wM/sel_KLE133+1.p_4',additive_commutativity) ).

fof(22,axiom,
    ! [X1,X2,X3] : multiplication(X1,addition(X2,X3)) = addition(multiplication(X1,X2),multiplication(X1,X3)),
    file('/tmp/tmpn3c0wM/sel_KLE133+1.p_4',right_distributivity) ).

fof(23,conjecture,
    ! [X4] :
      ( ( ! [X5] : addition(domain(X5),forward_diamond(star(X4),domain_difference(domain(X5),forward_diamond(X4,domain(X5))))) = forward_diamond(star(X4),domain_difference(domain(X5),forward_diamond(X4,domain(X5))))
        & ! [X6] : forward_diamond(X4,forward_diamond(X4,domain(X6))) = forward_diamond(X4,domain(X6)) )
     => ! [X7] : addition(forward_diamond(X4,domain(X7)),forward_diamond(star(X4),domain_difference(domain(X7),forward_diamond(X4,domain(X7))))) = forward_diamond(star(X4),domain_difference(domain(X7),forward_diamond(X4,domain(X7)))) ),
    file('/tmp/tmpn3c0wM/sel_KLE133+1.p_4',goals) ).

fof(24,negated_conjecture,
    ~ ! [X4] :
        ( ( ! [X5] : addition(domain(X5),forward_diamond(star(X4),domain_difference(domain(X5),forward_diamond(X4,domain(X5))))) = forward_diamond(star(X4),domain_difference(domain(X5),forward_diamond(X4,domain(X5))))
          & ! [X6] : forward_diamond(X4,forward_diamond(X4,domain(X6))) = forward_diamond(X4,domain(X6)) )
       => ! [X7] : addition(forward_diamond(X4,domain(X7)),forward_diamond(star(X4),domain_difference(domain(X7),forward_diamond(X4,domain(X7))))) = forward_diamond(star(X4),domain_difference(domain(X7),forward_diamond(X4,domain(X7)))) ),
    inference(assume_negation,[status(cth)],[23]) ).

fof(25,plain,
    ! [X4,X5,X6] : multiplication(addition(X4,X5),X6) = addition(multiplication(X4,X6),multiplication(X5,X6)),
    inference(variable_rename,[status(thm)],[1]) ).

cnf(26,plain,
    multiplication(addition(X1,X2),X3) = addition(multiplication(X1,X3),multiplication(X2,X3)),
    inference(split_conjunct,[status(thm)],[25]) ).

fof(33,plain,
    ! [X2] : multiplication(X2,zero) = zero,
    inference(variable_rename,[status(thm)],[5]) ).

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

fof(35,plain,
    ! [X2] : multiplication(X2,one) = X2,
    inference(variable_rename,[status(thm)],[6]) ).

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

fof(37,plain,
    ! [X6,X7] : domain_difference(X6,X7) = multiplication(domain(X6),antidomain(X7)),
    inference(variable_rename,[status(thm)],[7]) ).

cnf(38,plain,
    domain_difference(X1,X2) = multiplication(domain(X1),antidomain(X2)),
    inference(split_conjunct,[status(thm)],[37]) ).

fof(39,plain,
    ! [X2] : multiplication(one,X2) = X2,
    inference(variable_rename,[status(thm)],[8]) ).

cnf(40,plain,
    multiplication(one,X1) = X1,
    inference(split_conjunct,[status(thm)],[39]) ).

fof(41,plain,
    ! [X5] : addition(antidomain(antidomain(X5)),antidomain(X5)) = one,
    inference(variable_rename,[status(thm)],[9]) ).

cnf(42,plain,
    addition(antidomain(antidomain(X1)),antidomain(X1)) = one,
    inference(split_conjunct,[status(thm)],[41]) ).

fof(45,plain,
    ! [X5] : multiplication(antidomain(X5),X5) = zero,
    inference(variable_rename,[status(thm)],[11]) ).

cnf(46,plain,
    multiplication(antidomain(X1),X1) = zero,
    inference(split_conjunct,[status(thm)],[45]) ).

fof(47,plain,
    ! [X5] : domain(X5) = antidomain(antidomain(X5)),
    inference(variable_rename,[status(thm)],[12]) ).

cnf(48,plain,
    domain(X1) = antidomain(antidomain(X1)),
    inference(split_conjunct,[status(thm)],[47]) ).

fof(49,plain,
    ! [X2] : multiplication(zero,X2) = zero,
    inference(variable_rename,[status(thm)],[13]) ).

cnf(50,plain,
    multiplication(zero,X1) = zero,
    inference(split_conjunct,[status(thm)],[49]) ).

fof(51,plain,
    ! [X2] : addition(X2,zero) = X2,
    inference(variable_rename,[status(thm)],[14]) ).

cnf(52,plain,
    addition(X1,zero) = X1,
    inference(split_conjunct,[status(thm)],[51]) ).

fof(57,plain,
    ! [X6,X7] : forward_diamond(X6,X7) = domain(multiplication(X6,domain(X7))),
    inference(variable_rename,[status(thm)],[17]) ).

cnf(58,plain,
    forward_diamond(X1,X2) = domain(multiplication(X1,domain(X2))),
    inference(split_conjunct,[status(thm)],[57]) ).

fof(59,plain,
    ! [X3,X4] : addition(X3,X4) = addition(X4,X3),
    inference(variable_rename,[status(thm)],[18]) ).

cnf(60,plain,
    addition(X1,X2) = addition(X2,X1),
    inference(split_conjunct,[status(thm)],[59]) ).

fof(68,plain,
    ! [X4,X5,X6] : multiplication(X4,addition(X5,X6)) = addition(multiplication(X4,X5),multiplication(X4,X6)),
    inference(variable_rename,[status(thm)],[22]) ).

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] : addition(domain(X5),forward_diamond(star(X4),domain_difference(domain(X5),forward_diamond(X4,domain(X5))))) = forward_diamond(star(X4),domain_difference(domain(X5),forward_diamond(X4,domain(X5))))
      & ! [X6] : forward_diamond(X4,forward_diamond(X4,domain(X6))) = forward_diamond(X4,domain(X6))
      & ? [X7] : addition(forward_diamond(X4,domain(X7)),forward_diamond(star(X4),domain_difference(domain(X7),forward_diamond(X4,domain(X7))))) != forward_diamond(star(X4),domain_difference(domain(X7),forward_diamond(X4,domain(X7)))) ),
    inference(fof_nnf,[status(thm)],[24]) ).

fof(71,negated_conjecture,
    ? [X8] :
      ( ! [X9] : addition(domain(X9),forward_diamond(star(X8),domain_difference(domain(X9),forward_diamond(X8,domain(X9))))) = forward_diamond(star(X8),domain_difference(domain(X9),forward_diamond(X8,domain(X9))))
      & ! [X10] : forward_diamond(X8,forward_diamond(X8,domain(X10))) = forward_diamond(X8,domain(X10))
      & ? [X11] : addition(forward_diamond(X8,domain(X11)),forward_diamond(star(X8),domain_difference(domain(X11),forward_diamond(X8,domain(X11))))) != forward_diamond(star(X8),domain_difference(domain(X11),forward_diamond(X8,domain(X11)))) ),
    inference(variable_rename,[status(thm)],[70]) ).

fof(72,negated_conjecture,
    ( ! [X9] : addition(domain(X9),forward_diamond(star(esk1_0),domain_difference(domain(X9),forward_diamond(esk1_0,domain(X9))))) = forward_diamond(star(esk1_0),domain_difference(domain(X9),forward_diamond(esk1_0,domain(X9))))
    & ! [X10] : forward_diamond(esk1_0,forward_diamond(esk1_0,domain(X10))) = forward_diamond(esk1_0,domain(X10))
    & addition(forward_diamond(esk1_0,domain(esk2_0)),forward_diamond(star(esk1_0),domain_difference(domain(esk2_0),forward_diamond(esk1_0,domain(esk2_0))))) != forward_diamond(star(esk1_0),domain_difference(domain(esk2_0),forward_diamond(esk1_0,domain(esk2_0)))) ),
    inference(skolemize,[status(esa)],[71]) ).

fof(73,negated_conjecture,
    ! [X9,X10] :
      ( forward_diamond(esk1_0,forward_diamond(esk1_0,domain(X10))) = forward_diamond(esk1_0,domain(X10))
      & addition(domain(X9),forward_diamond(star(esk1_0),domain_difference(domain(X9),forward_diamond(esk1_0,domain(X9))))) = forward_diamond(star(esk1_0),domain_difference(domain(X9),forward_diamond(esk1_0,domain(X9))))
      & addition(forward_diamond(esk1_0,domain(esk2_0)),forward_diamond(star(esk1_0),domain_difference(domain(esk2_0),forward_diamond(esk1_0,domain(esk2_0))))) != forward_diamond(star(esk1_0),domain_difference(domain(esk2_0),forward_diamond(esk1_0,domain(esk2_0)))) ),
    inference(shift_quantors,[status(thm)],[72]) ).

cnf(74,negated_conjecture,
    addition(forward_diamond(esk1_0,domain(esk2_0)),forward_diamond(star(esk1_0),domain_difference(domain(esk2_0),forward_diamond(esk1_0,domain(esk2_0))))) != forward_diamond(star(esk1_0),domain_difference(domain(esk2_0),forward_diamond(esk1_0,domain(esk2_0)))),
    inference(split_conjunct,[status(thm)],[73]) ).

cnf(75,negated_conjecture,
    addition(domain(X1),forward_diamond(star(esk1_0),domain_difference(domain(X1),forward_diamond(esk1_0,domain(X1))))) = forward_diamond(star(esk1_0),domain_difference(domain(X1),forward_diamond(esk1_0,domain(X1)))),
    inference(split_conjunct,[status(thm)],[73]) ).

cnf(76,negated_conjecture,
    forward_diamond(esk1_0,forward_diamond(esk1_0,domain(X1))) = forward_diamond(esk1_0,domain(X1)),
    inference(split_conjunct,[status(thm)],[73]) ).

cnf(77,plain,
    antidomain(antidomain(multiplication(X1,antidomain(antidomain(X2))))) = forward_diamond(X1,X2),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[58,48,theory(equality)]),48,theory(equality)]),
    [unfolding] ).

cnf(78,plain,
    multiplication(antidomain(antidomain(X1)),antidomain(X2)) = domain_difference(X1,X2),
    inference(rw,[status(thm)],[38,48,theory(equality)]),
    [unfolding] ).

cnf(79,negated_conjecture,
    forward_diamond(esk1_0,forward_diamond(esk1_0,antidomain(antidomain(X1)))) = forward_diamond(esk1_0,antidomain(antidomain(X1))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[76,48,theory(equality)]),48,theory(equality)]),
    [unfolding] ).

cnf(80,negated_conjecture,
    addition(antidomain(antidomain(X1)),forward_diamond(star(esk1_0),domain_difference(antidomain(antidomain(X1)),forward_diamond(esk1_0,antidomain(antidomain(X1)))))) = forward_diamond(star(esk1_0),domain_difference(antidomain(antidomain(X1)),forward_diamond(esk1_0,antidomain(antidomain(X1))))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[75,48,theory(equality)]),48,theory(equality)]),48,theory(equality)]),48,theory(equality)]),48,theory(equality)]),
    [unfolding] ).

cnf(82,negated_conjecture,
    addition(forward_diamond(esk1_0,antidomain(antidomain(esk2_0))),forward_diamond(star(esk1_0),domain_difference(antidomain(antidomain(esk2_0)),forward_diamond(esk1_0,antidomain(antidomain(esk2_0)))))) != forward_diamond(star(esk1_0),domain_difference(antidomain(antidomain(esk2_0)),forward_diamond(esk1_0,antidomain(antidomain(esk2_0))))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[74,48,theory(equality)]),48,theory(equality)]),48,theory(equality)]),48,theory(equality)]),48,theory(equality)]),
    [unfolding] ).

cnf(84,negated_conjecture,
    antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(antidomain(antidomain(X1)))))))))))) = antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(antidomain(antidomain(X1))))))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[79,77,theory(equality)]),77,theory(equality)]),77,theory(equality)]),
    [unfolding] ).

cnf(85,negated_conjecture,
    addition(antidomain(antidomain(X1)),antidomain(antidomain(multiplication(star(esk1_0),antidomain(antidomain(domain_difference(antidomain(antidomain(X1)),antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(antidomain(antidomain(X1)))))))))))))) = antidomain(antidomain(multiplication(star(esk1_0),antidomain(antidomain(domain_difference(antidomain(antidomain(X1)),antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(antidomain(antidomain(X1))))))))))))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[80,77,theory(equality)]),77,theory(equality)]),77,theory(equality)]),77,theory(equality)]),
    [unfolding] ).

cnf(87,negated_conjecture,
    addition(antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(antidomain(antidomain(esk2_0))))))),antidomain(antidomain(multiplication(star(esk1_0),antidomain(antidomain(domain_difference(antidomain(antidomain(esk2_0)),antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(antidomain(antidomain(esk2_0)))))))))))))) != antidomain(antidomain(multiplication(star(esk1_0),antidomain(antidomain(domain_difference(antidomain(antidomain(esk2_0)),antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(antidomain(antidomain(esk2_0))))))))))))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[82,77,theory(equality)]),77,theory(equality)]),77,theory(equality)]),77,theory(equality)]),77,theory(equality)]),
    [unfolding] ).

cnf(88,negated_conjecture,
    addition(antidomain(antidomain(X1)),antidomain(antidomain(multiplication(star(esk1_0),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(X1)))),antidomain(antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(antidomain(antidomain(X1))))))))))))))) = antidomain(antidomain(multiplication(star(esk1_0),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(X1)))),antidomain(antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(antidomain(antidomain(X1)))))))))))))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[85,78,theory(equality)]),78,theory(equality)]),
    [unfolding] ).

cnf(89,negated_conjecture,
    addition(antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(antidomain(antidomain(esk2_0))))))),antidomain(antidomain(multiplication(star(esk1_0),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(esk2_0)))),antidomain(antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(antidomain(antidomain(esk2_0))))))))))))))) != antidomain(antidomain(multiplication(star(esk1_0),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(esk2_0)))),antidomain(antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(antidomain(antidomain(esk2_0)))))))))))))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[87,78,theory(equality)]),78,theory(equality)]),
    [unfolding] ).

cnf(91,plain,
    zero = antidomain(one),
    inference(spm,[status(thm)],[36,46,theory(equality)]) ).

cnf(92,plain,
    addition(zero,X1) = X1,
    inference(spm,[status(thm)],[52,60,theory(equality)]) ).

cnf(136,plain,
    addition(antidomain(X1),antidomain(antidomain(X1))) = one,
    inference(rw,[status(thm)],[42,60,theory(equality)]) ).

cnf(150,plain,
    addition(multiplication(antidomain(X1),X2),zero) = multiplication(antidomain(X1),addition(X2,X1)),
    inference(spm,[status(thm)],[69,46,theory(equality)]) ).

cnf(169,plain,
    multiplication(antidomain(X1),X2) = multiplication(antidomain(X1),addition(X2,X1)),
    inference(rw,[status(thm)],[150,52,theory(equality)]) ).

cnf(188,plain,
    addition(multiplication(X1,X2),zero) = multiplication(addition(X1,antidomain(X2)),X2),
    inference(spm,[status(thm)],[26,46,theory(equality)]) ).

cnf(208,plain,
    multiplication(X1,X2) = multiplication(addition(X1,antidomain(X2)),X2),
    inference(rw,[status(thm)],[188,52,theory(equality)]) ).

cnf(318,plain,
    addition(zero,antidomain(zero)) = one,
    inference(spm,[status(thm)],[136,91,theory(equality)]) ).

cnf(345,plain,
    antidomain(zero) = one,
    inference(rw,[status(thm)],[318,92,theory(equality)]) ).

cnf(706,plain,
    multiplication(addition(antidomain(X2),X1),X2) = multiplication(X1,X2),
    inference(spm,[status(thm)],[208,60,theory(equality)]) ).

cnf(1136,plain,
    multiplication(one,X1) = multiplication(antidomain(antidomain(X1)),X1),
    inference(spm,[status(thm)],[706,136,theory(equality)]) ).

cnf(1166,plain,
    X1 = multiplication(antidomain(antidomain(X1)),X1),
    inference(rw,[status(thm)],[1136,40,theory(equality)]) ).

cnf(2162,plain,
    multiplication(antidomain(antidomain(antidomain(X1))),one) = multiplication(antidomain(antidomain(antidomain(X1))),antidomain(X1)),
    inference(spm,[status(thm)],[169,136,theory(equality)]) ).

cnf(2206,plain,
    antidomain(antidomain(antidomain(X1))) = multiplication(antidomain(antidomain(antidomain(X1))),antidomain(X1)),
    inference(rw,[status(thm)],[2162,36,theory(equality)]) ).

cnf(2207,plain,
    antidomain(antidomain(antidomain(X1))) = antidomain(X1),
    inference(rw,[status(thm)],[2206,1166,theory(equality)]) ).

cnf(2272,negated_conjecture,
    addition(antidomain(antidomain(X1)),antidomain(antidomain(multiplication(star(esk1_0),antidomain(antidomain(multiplication(antidomain(antidomain(X1)),antidomain(multiplication(esk1_0,antidomain(antidomain(X1))))))))))) = antidomain(antidomain(multiplication(star(esk1_0),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(X1)))),antidomain(antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(antidomain(antidomain(X1)))))))))))))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[88,2207,theory(equality)]),2207,theory(equality)]),2207,theory(equality)]) ).

cnf(2273,negated_conjecture,
    addition(antidomain(antidomain(X1)),antidomain(antidomain(multiplication(star(esk1_0),antidomain(antidomain(multiplication(antidomain(antidomain(X1)),antidomain(multiplication(esk1_0,antidomain(antidomain(X1))))))))))) = antidomain(antidomain(multiplication(star(esk1_0),antidomain(antidomain(multiplication(antidomain(antidomain(X1)),antidomain(multiplication(esk1_0,antidomain(antidomain(X1)))))))))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2272,2207,theory(equality)]),2207,theory(equality)]),2207,theory(equality)]) ).

cnf(2274,negated_conjecture,
    antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(X1)))))))) = antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(antidomain(antidomain(X1))))))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[84,2207,theory(equality)]),2207,theory(equality)]) ).

cnf(2275,negated_conjecture,
    antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(X1)))))))) = antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(X1))))),
    inference(rw,[status(thm)],[2274,2207,theory(equality)]) ).

cnf(2276,negated_conjecture,
    addition(antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(esk2_0))))),antidomain(antidomain(multiplication(star(esk1_0),antidomain(antidomain(multiplication(antidomain(antidomain(esk2_0)),antidomain(multiplication(esk1_0,antidomain(antidomain(esk2_0))))))))))) != antidomain(antidomain(multiplication(star(esk1_0),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(esk2_0)))),antidomain(antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(antidomain(antidomain(esk2_0)))))))))))))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[89,2207,theory(equality)]),2207,theory(equality)]),2207,theory(equality)]),2207,theory(equality)]) ).

cnf(2277,negated_conjecture,
    addition(antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(esk2_0))))),antidomain(antidomain(multiplication(star(esk1_0),antidomain(antidomain(multiplication(antidomain(antidomain(esk2_0)),antidomain(multiplication(esk1_0,antidomain(antidomain(esk2_0))))))))))) != antidomain(antidomain(multiplication(star(esk1_0),antidomain(antidomain(multiplication(antidomain(antidomain(esk2_0)),antidomain(multiplication(esk1_0,antidomain(antidomain(esk2_0)))))))))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2276,2207,theory(equality)]),2207,theory(equality)]),2207,theory(equality)]) ).

cnf(362511,negated_conjecture,
    antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(multiplication(esk1_0,antidomain(zero))))))) = antidomain(antidomain(multiplication(esk1_0,antidomain(zero)))),
    inference(spm,[status(thm)],[2275,91,theory(equality)]) ).

cnf(362898,negated_conjecture,
    antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(esk1_0))))) = antidomain(antidomain(multiplication(esk1_0,antidomain(zero)))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[362511,345,theory(equality)]),36,theory(equality)]) ).

cnf(362899,negated_conjecture,
    antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(esk1_0))))) = antidomain(antidomain(esk1_0)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[362898,345,theory(equality)]),36,theory(equality)]) ).

cnf(366307,negated_conjecture,
    antidomain(antidomain(antidomain(esk1_0))) = antidomain(multiplication(esk1_0,antidomain(antidomain(esk1_0)))),
    inference(spm,[status(thm)],[2207,362899,theory(equality)]) ).

cnf(366664,negated_conjecture,
    antidomain(esk1_0) = antidomain(multiplication(esk1_0,antidomain(antidomain(esk1_0)))),
    inference(rw,[status(thm)],[366307,2207,theory(equality)]) ).

cnf(367607,negated_conjecture,
    addition(antidomain(antidomain(esk1_0)),antidomain(antidomain(multiplication(star(esk1_0),antidomain(antidomain(multiplication(antidomain(antidomain(esk1_0)),antidomain(esk1_0)))))))) = antidomain(antidomain(multiplication(star(esk1_0),antidomain(antidomain(multiplication(antidomain(antidomain(esk1_0)),antidomain(esk1_0))))))),
    inference(spm,[status(thm)],[2273,366664,theory(equality)]) ).

cnf(367769,negated_conjecture,
    antidomain(antidomain(esk1_0)) = antidomain(antidomain(multiplication(star(esk1_0),antidomain(antidomain(multiplication(antidomain(antidomain(esk1_0)),antidomain(esk1_0))))))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[367607,46,theory(equality)]),345,theory(equality)]),91,theory(equality)]),34,theory(equality)]),345,theory(equality)]),91,theory(equality)]),52,theory(equality)]) ).

cnf(367770,negated_conjecture,
    antidomain(antidomain(esk1_0)) = zero,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[367769,46,theory(equality)]),345,theory(equality)]),91,theory(equality)]),34,theory(equality)]),345,theory(equality)]),91,theory(equality)]) ).

cnf(367785,negated_conjecture,
    multiplication(zero,esk1_0) = esk1_0,
    inference(spm,[status(thm)],[1166,367770,theory(equality)]) ).

cnf(368131,negated_conjecture,
    antidomain(zero) = antidomain(esk1_0),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[366664,367770,theory(equality)]),34,theory(equality)]) ).

cnf(368132,negated_conjecture,
    one = antidomain(esk1_0),
    inference(rw,[status(thm)],[368131,345,theory(equality)]) ).

cnf(368147,negated_conjecture,
    zero = esk1_0,
    inference(rw,[status(thm)],[367785,50,theory(equality)]) ).

cnf(369887,plain,
    addition(esk1_0,X1) = X1,
    inference(rw,[status(thm)],[92,368147,theory(equality)]) ).

cnf(369897,plain,
    multiplication(esk1_0,X1) = zero,
    inference(rw,[status(thm)],[50,368147,theory(equality)]) ).

cnf(369898,plain,
    multiplication(esk1_0,X1) = esk1_0,
    inference(rw,[status(thm)],[369897,368147,theory(equality)]) ).

cnf(371922,negated_conjecture,
    antidomain(antidomain(multiplication(star(esk1_0),antidomain(antidomain(esk2_0))))) != antidomain(antidomain(multiplication(star(esk1_0),antidomain(antidomain(multiplication(antidomain(antidomain(esk2_0)),antidomain(multiplication(esk1_0,antidomain(antidomain(esk2_0)))))))))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2277,369898,theory(equality)]),368132,theory(equality)]),91,theory(equality)]),368147,theory(equality)]),369898,theory(equality)]),368132,theory(equality)]),36,theory(equality)]),2207,theory(equality)]),369887,theory(equality)]) ).

cnf(371923,negated_conjecture,
    $false,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[371922,369898,theory(equality)]),368132,theory(equality)]),36,theory(equality)]),2207,theory(equality)]) ).

cnf(371924,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[371923,theory(equality)]) ).

cnf(371925,negated_conjecture,
    $false,
    371924,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/KLE/KLE133+1.p
% --creating new selector for [KLE001+7.ax, KLE001+0.ax, KLE001+4.ax, KLE001+6.ax]
% eprover: CPU time limit exceeded, terminating
% eprover: CPU time limit exceeded, terminating
% -running prover on /tmp/tmpn3c0wM/sel_KLE133+1.p_1 with time limit 29
% -prover status ResourceOut
% -running prover on /tmp/tmpn3c0wM/sel_KLE133+1.p_2 with time limit 81
% -prover status ResourceOut
% --creating new selector for [KLE001+7.ax, KLE001+0.ax, KLE001+4.ax, KLE001+6.ax]
% eprover: CPU time limit exceeded, terminating
% -running prover on /tmp/tmpn3c0wM/sel_KLE133+1.p_3 with time limit 75
% -prover status ResourceOut
% --creating new selector for [KLE001+7.ax, KLE001+0.ax, KLE001+4.ax, KLE001+6.ax]
% -running prover on /tmp/tmpn3c0wM/sel_KLE133+1.p_4 with time limit 55
% -prover status Theorem
% Problem KLE133+1.p solved in phase 3.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/KLE/KLE133+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/KLE/KLE133+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
% 
%------------------------------------------------------------------------------